{"data":[{"name":"Protein-protein interaction","means":[[32.303864310767814,29.0786870748003,25.015473162293727,22.919931886394473,18.60568479137251,22.89760956612103,20.654735972799077,23.63155946030455,24.900402167547018,22.591012129126685,25.837797506341364,28.271549121201815,23.304873685930595,23.43633513100185,26.8982788817921,25.99889235926427,21.715878642020048,24.057179254384977,23.342719329763426,23.62061130981614,25.496327956595028,26.50400661406732,27.244155804557046,24.942583859935812,22.248406873746212,20.68006105606691,18.53465635613526,18.047499455990955,21.639257954865023,23.6676932371498,29.39737887894646,28.89353022948717,33.44198343052668,34.78374119737509,30.756401576494955,27.322342420020252,26.19162030169161,22.687305524176573,19.79018084390217,22.46819031593387,18.72691918400428,22.391689586813776,25.76096270189778,23.492916269081757,23.816702786359617,21.20746773129799,25.0863290871166,25.5163185461902,20.739711833479067,23.689486015082597,27.400034431764364,27.415642871332825,30.90525518375811,27.000937852769333,31.807889055150444,33.96762610895115,30.702656447559246,31.732071253990505,36.1292799046668,35.20641131955287,32.67187940752306,35.61131197391221,35.48857674096428,36.18585650364582,32.39015366024348,30.008742247177633,29.35349433470202,28.61005859928112,27.503511615904124,28.503142466496552,27.91756076654755,31.420210997853726,32.356264079656654,32.70173266009858,32.27806567033559,37.39135607966847,33.6976543287237,37.39375335543698,34.51346491537903,33.13078883485768,31.365444404209757,28.43671774739688,28.128596414413014,25.60140315069275,21.966509377638495,23.89806545392065,25.839061046098696,29.29620506731579,29.26370902990769,34.826570843485506,33.78943066836662,37.93850232808181,36.32537426343044,35.719824152272075,32.08069591181004,34.79564052343247,31.52748765257155,32.25854871003484,30.73205531428728,33.78037680522395,30.534837404533544,29.771306165940537,27.426114673401155,25.95642129246666,24.311185085337478,21.855296510109966,24.240873402159387,21.5666937721408,20.712719669123416,22.41559412170374,20.686859535757605,17.38485962514139,18.398278290777398,14.636515608980062,16.9172987635167,13.94800838367487,15.902675888130927,13.944689778685905,19.109980322820768,20.594045308232644,19.725991596098655,19.261485374175653,15.618617351971675,15.344078723749671,16.712443104913902,12.72256654489222,17.09822905611114,14.764863040609518,15.97527944748025,17.193445342106315,15.130631050398632,18.79539322949066,16.13148439593184,18.670466490386275,12.959276417854419,11.287850751658247,9.63620009402226,6.926537117731246,6.659017721807365,7.679369152594703,7.785505104000908,10.62754496849959,13.033737459020246,11.567796015846312,14.013648824760816,16.77340623853837,14.69500367687681,17.63184129789916,18.452947564502118,20.85751466190592,23.388323903197197,27.126703988090448,30.621492567664923,34.58826703111975,33.557650401838984,30.908723354376413,27.24005967489893,25.84154312125721,23.948248269748202,20.91279613027114,15.929364705280685,17.950087460484248,12.244409512370925,16.089149926094336,12.871076856600745,7.913797057552409,10.301516515802142,10.453938558452762,9.213426637954111,5.695327869295256,7.9272306213560215,7.839945417986532,12.603419332500518,16.090748659187614,19.233352401596523,22.657896867902675,23.366749294702263,27.424907523185123,23.77379467115477,24.43067653943291,20.191764390072457,19.182064342999958,19.83379720689349,19.938951403684833,16.691492511117737,18.7419921896228,18.26425361568277,20.803790570337753,17.39714403668028,18.307884292156107,17.948819321896266,16.13615277760786,16.16643407480769,15.196271167576391,16.678759290562414,18.08882567155209,15.142339175849882,18.76287674699401,19.853824664053793,20.503697281732318,25.040215247708517,26.149782186088974,23.286429349182516,24.700983207556924,28.825373516544843,28.093544592450183,25.687557436828566,29.670194670926342,33.17549369919119,30.840145999304077,31.873799500465292,35.44305311634616,35.27983220870093,33.758357396633414,36.66441154009725,33.940580383678125,38.623296516557495,34.294977624289956,33.47818003956446,37.24757722929328,38.612679386463476,43.14146660295329,41.97666696508824,41.481804504666705,38.097613390509814,38.64745939388101,35.13263567145347,36.63794777073917,36.90725608598788,31.338726413912045,31.176330539600208,33.0733677640818,30.548140691348898,27.133424356037114,27.059483335310805,28.426825607659914,26.166937009874054,21.274961861425492,23.29538218350742,23.56125540853608,27.127909131702754,30.087645430400112,31.357625872537767,35.93377719735996,32.753411079626815,29.412506387995958,34.537484488170726,35.4778810269098,31.09544136012626,32.31852702157565,36.58672132234137,36.32148019723577,34.15943427166273,38.11234679178844,40.43048300481306,38.48108723717982,38.75122164766994,41.520141015126036,38.8683604998147,39.01865073407391,35.71515590374778,37.54460785464058,38.82385331394384,33.64180354128889,33.12751211619494,35.47606180957641,34.074840326259114,29.47937586862717,33.40239588684194,34.65173720656977,29.72675804214229,27.958873940864375,32.630289204967475,32.8876412619477,29.4919420598856,27.361260707495276,30.137626398504253,29.057627891785422,32.625161621605464,29.869818226546037,28.485786522573036,28.194665374120895,27.89752724129651,25.18370286669165,24.707012891107407,21.465501276443426,21.956314556899795,19.570790683610525,18.666011449444724,16.822511115221207,23.525054791036347,24.900403839156812,28.49045789551139,29.097117592340055,25.231173358746528,29.325758539739454,31.596016340612252,26.918017839634903,28.017986811086566,32.85818482359697,34.52970619306396,32.772092122914266,34.33482722239237,36.67104896254501],[29.20163547526144,25.986794253038685,21.991446416508822,19.766933601242563,15.622092712742264,20.158170403291464,18.24561128070151,21.590421149694915,22.914860750461916,21.031664117151635,24.49841765636716,26.986397813397637,22.410911637710175,22.415159141267782,26.315007131269116,25.646303394723482,21.570732372091474,24.45704478924867,24.25082152694035,24.850334626947706,27.048225542647515,28.42563089664234,29.252138667622372,27.110014951866024,24.330434129140656,22.3094796809191,20.03185012457865,18.877778643782374,22.17518236400486,23.80241822912484,29.55602735413475,28.845615160886883,33.42002431687009,35.185638230912275,31.261824673528377,28.028803669415023,26.71380349013688,23.84448988814036,21.23360623555428,24.387173838328586,20.884742623712764,24.267628015941632,27.854422417230612,25.82238599584732,26.432672631763985,23.995944424035827,27.903796947877805,28.095352059249848,23.25701315455228,26.380759331949825,29.916864351743342,29.81453772281561,33.23405409442849,29.11183319576527,33.798056735680355,36.20068437058131,32.95007368202733,33.66587028820545,38.15556824923715,37.493126585914474,34.761297008987995,37.43635546779765,37.02014454742021,37.94160579755474,34.28752556839692,31.637229703893656,30.70281209382592,29.557631279355217,28.232515251686568,28.756200968914815,28.15294538116177,31.64593146232546,32.70669201791205,33.50579570785153,32.96477086910212,38.35675424608688,34.88507675949791,38.46647278590962,35.739756006929106,34.64697160977006,32.6703752617532,29.97708406898215,29.20648349258375,27.003384777128158,23.454546243915143,25.033988137340117,27.226685696606374,30.25965491993575,30.375257118438714,35.662825321096065,34.501406210958955,38.60829434743891,36.686595079427754,35.80269445776184,31.894003120731114,34.40368070714174,30.87330471934755,31.740693707613527,29.928053019912674,32.731782497968325,30.04852850184837,28.994382258356413,27.23655720169165,25.38080294879621,24.245892414161453,21.183458183802063,23.556352373737184,20.798655153679384,19.300483310696094,21.111686773982004,18.84656120206827,15.963079347608744,16.642805962359564,13.206687237437396,15.918318462069484,13.18589985718264,15.937898895090644,14.435315377081432,19.957513818786865,20.910246320090707,19.62738346227407,18.62851559348079,14.664835400702195,13.843628664302232,14.679038881298993,10.572365266148829,14.63150875971125,12.800099391613871,14.277555872362118,16.412447381749693,13.956307164730338,18.121502493828018,16.122282208164798,18.752900171336794,12.895694873642181,10.688828479133578,8.013142954555656,5.2503086266417895,5.105808614366283,7.855690126462188,8.972047899254518,12.800096882561785,14.630232322443998,12.662479766777986,15.433719840658078,17.44289768289779,14.88910926785928,17.25440565217361,17.690133498740867,19.52440534747723,21.87035651407345,25.467802980233014,29.1112541313826,32.77648634831435,32.07366539085432,29.706879616583663,26.17084088674139,24.79087885878452,23.351661955288282,20.263110199616936,15.794897916775959,18.491920427343132,13.239567408033341,17.48419051831591,14.581739606806709,10.262499982784096,12.043594586948611,12.530566173027783,10.349479412441404,6.757254363385835,8.543053696729844,8.485918581541995,13.51489180775968,16.90871779880443,19.93307706239236,22.999151640423115,23.595161530291243,27.890367192447684,24.68213363489459,25.204269813409084,21.383180236604836,19.439498490101965,20.635840773521245,21.13256075258664,18.004559362947496,20.681575467637316,20.33768340413523,23.214410310287672,20.15149324695233,20.80423194658259,20.319866856348327,18.17209851568115,17.71538152777535,16.157862542023143,17.200760121983905,18.108774402145027,14.517587944704857,17.845648810439418,18.25933182549866,18.830334286839996,23.354412853909782,24.386630557003237,21.23523274460525,22.46637830390985,26.721912657397336,25.761819154654354,23.018948083422806,27.162882353186827,30.804998855440367,28.135879114614685,29.079631426922433,32.74147593691451,32.53676112503171,30.815409678825958,33.75110901080578,31.039122918121272,35.88986027939687,31.589988869021262,30.901728328836903,34.76361532709452,36.39249994687429,40.92140655102706,40.00687044434388,39.6823724764262,36.44789251568442,37.264279830369205,33.853664891208915,35.63619091649801,35.64031392408478,29.874501740904016,30.12345996755047,32.14131790314113,29.271401117002714,25.942755312040482,26.35264648724825,27.4404796667896,24.760914376629508,20.3306333251973,21.729498781777366,22.5703412537829,26.198263418648054,28.800235572250013,30.325544054198033,34.80376366014783,31.691783254863292,28.102259166607695,32.98997367209828,34.01280065745698,29.456503137993604,30.405766031578736,34.65669338485732,34.28882877254727,31.906673517668676,35.949849877000055,38.21593950949387,36.056421126799975,36.289795013923566,39.18221361022012,36.541923236546346,36.942643409613915,33.81008260163678,35.78610198094761,36.75467377588561,31.41989994063887,31.266962987850174,33.49982047151105,31.859966543413233,27.418993198889268,31.638581029015363,32.5828115545151,27.452070473304683,26.072221326173764,30.85846532380691,30.7894183797064,27.233857730607113,24.789728737944763,27.674401589974455,26.292171343186663,29.864357200944585,26.885373993815843,25.618926091698107,25.204040557510982,24.75890018846898,22.10631479911074,21.75244000996998,18.5135265960543,19.334329783933036,16.833725232009385,16.471385305957575,14.43113448848773,21.01057778678265,22.60309860701842,26.10846620280781,26.859374880362243,22.67192819877848,26.58873586364756,29.028617315588214,24.41678527088565,25.15428849709342,30.02465347031752,31.889348361014694,30.302064646414188,32.04377323915563,34.463164192499214],[25.389213759898077,22.258612325978614,18.743799768824196,15.798495870987947,12.787065977276809,17.46972110536853,16.34975884791507,20.398894389879732,21.4092612496131,20.16025212696769,23.788560126045052,26.54015628068461,22.700040280537447,22.113664791175893,26.64217981625642,26.51859346139726,22.72637087713368,26.13588183915482,26.310352899600332,27.568469118921158,29.93304538435553,31.865374409286396,32.56272616603015,30.506179792597298,27.85968338431523,25.268424679524188,23.16955566635213,21.329655563832816,24.322398119901116,25.60314424312799,30.983965850025484,30.332233228722068,34.815096339149285,37.06993169733833,33.42749406915778,30.384966628288893,29.129044708940253,26.93186776360008,24.742742710765683,28.52968748643913,25.036189396796928,27.90407714655947,31.783326518369616,30.084206214619094,30.821401331924122,28.578950996994788,32.564037980557615,32.65208050384298,27.880727960601305,31.228227300010985,34.66350628455367,34.49951207596618,37.80958409762275,33.459250343241855,38.04034921535963,40.55613393298266,37.196865568764245,37.59737892055356,42.18022087809401,41.68225976024189,38.61690502004706,40.908855157713624,40.12955353168114,41.12217672248846,37.71239858910069,34.85112088887533,33.29696229708351,31.76976422525705,29.90608413513835,29.861585653744346,29.039169906908935,32.32571455848586,33.78548265810663,35.19331860365225,34.76633052139248,40.53463358943664,37.5315531694165,41.05506637229608,38.664265657754875,38.0043095578035,35.99366936064856,33.70597510184777,32.57463834088743,30.857412361838726,27.345899777389278,28.405033477578662,30.614618430544674,33.20083925079069,33.204449341536474,38.12986433386023,36.620778200836554,40.507474998242,38.19628683105956,37.05017357182119,32.80284893711294,34.87093701003963,30.98540351800616,32.367987070799145,30.28171471218336,32.85258735705213,31.12423097614711,29.924803521869773,29.034349205182764,26.903419731486938,26.666438085620356,22.91454771708307,25.262064494129486,22.530053109180983,20.073534112665197,21.916662021201848,18.747388144598542,16.691065765342007,16.40362048813502,13.695448726135277,16.343775507050132,13.927691723443722,17.39744851163633,16.19112400502537,21.826586082268246,22.321496295728057,20.335267753710628,18.783364597068626,14.401128936806668,13.150358602843086,13.316834937276306,10.050382277056299,13.3361923441245,12.966980591922583,14.92490373402224,18.361013301299177,15.511522878986453,20.082098663074028,19.063921919216295,21.707163188502328,16.044248813111928,13.402678450014896,9.842200682847766,7.815788733168663,6.955999577632231,10.979551441849319,11.948179355441109,16.475771273127044,17.870737875112162,15.774376875908683,18.951770235068036,20.132188828116476,17.177532956781285,18.852547578268716,18.99467212715562,19.713863596996628,21.880281501988204,24.887143992990527,28.863030474113273,31.770731227687378,31.530079824954434,29.79588581163095,26.484696922594832,25.41519793448538,24.55653079301801,21.824032772784257,18.26732105774219,21.361675315854686,16.799034039900775,21.34902038537451,18.99827960303711,15.097774999269339,16.70815037237616,17.188122632339194,14.467350835834496,11.29232510492741,12.711162381257772,12.58349161789772,17.424034244826853,20.523006854049168,23.213319371709062,25.80448184479873,26.018540481864363,30.652341278528283,28.041409684085586,28.526959349629557,25.274501862720232,22.46428222174452,24.298842879407463,25.17102378028553,22.206348306389195,25.243406903943818,24.83262605999434,28.026425051180002,25.048556449205442,25.708876912325486,25.131277100860785,22.875367244147068,22.03485231106282,20.02499305247662,20.533612580299827,20.699447656311214,16.489436176349436,19.261416955689633,18.49733906790941,19.097148998081106,23.2826548965743,24.237362720536108,20.654422152940178,21.298957882097586,25.719679272296162,24.353072031694396,20.76122496572472,25.173282657084272,29.14901256908822,25.71413642686638,26.33055753769316,30.19019307207507,29.915161852125497,27.57091460655215,30.538850218087116,27.85639049816382,33.08305443141989,28.682596087574137,28.483608048430487,32.54039596700387,34.668926004034844,39.08099030575108,38.66341294894774,38.80851258116904,35.937850983345825,37.265300639456754,34.1806494750656,36.29957373623498,35.76299774201688,29.83128962780719,30.813478769802476,32.79722030418842,29.362466590144322,26.373301112072326,27.509085875529905,27.857335470295865,24.566025028046333,21.24429307394571,21.710446150623724,23.71989969966572,27.291480911603454,29.287569005116286,31.268287773667474,35.49977536188826,32.60165207789401,28.660763148115883,32.998540326988426,34.179828596859586,29.406012397995173,29.780131271625137,33.913467994544554,33.33685808690924,30.527868575975006,34.68218184483801,36.81000173873974,34.19918344456508,34.32908997228262,37.45250131953285,34.84138902476802,35.77732720877456,33.06712641678016,35.21772807928525,35.51386312798137,29.983835300100974,30.537724416135116,32.373916904412646,30.27284727355229,26.248733822894717,30.814312305714612,31.021609389824043,25.59903895561451,25.012978127880636,29.74645645491277,28.934155617513472,25.1194022727726,22.121444134292126,24.856432293672604,22.847266977888122,26.594549484865304,23.25252327781386,22.556665645993274,21.96796819194715,20.888235675057484,18.430417875599748,18.177195765673083,15.265588523313616,17.12738699763273,14.816031084522491,15.817082588926926,13.613212708715583,19.354034995675683,21.357486585000117,24.539339479823482,25.44522185010563,20.676273263905497,24.027404064769144,26.747951250209745,22.27281334473344,22.07189819992817,26.958944810271046,29.187096549763524,28.003389506686567,30.125447262086865,32.65072562188861],[22.740897530072992,19.54000241730005,15.348818849042544,13.277462526716606,8.660334632270082,13.159300445886604,11.637185416443469,15.304021185962387,16.994994925472888,16.199002240066484,19.96210099433565,22.125607093628407,18.574429751317545,18.8567880820477,23.22145157665013,22.803722253404032,19.610223975397776,23.537985593063087,24.793476783282646,25.63029370084145,28.66147580791492,30.633114264655017,31.944730904277538,30.482547994787588,27.273498144239227,24.501589746843113,21.70166853181952,19.229628828396528,21.41400381752953,21.86297301073676,27.626887116233533,26.186371121674785,30.674869522591685,33.3194672394216,29.682654596379862,27.1320395947454,25.27760637828646,24.07530970681334,22.259239368739898,26.25593055744084,23.622094578303862,26.31947407241974,30.19880044567521,28.826342223252514,30.311201368798827,28.457704026183038,32.46046773886677,31.777609031989687,26.874886780982415,30.63015016200113,33.486975670851535,32.88267265050922,35.96754597224129,31.322561474146163,35.57636972146463,38.599516023708254,35.46647982225639,35.28256531976389,39.93843583447566,40.0646011770521,36.9269072491272,38.90790766013504,37.7926846116065,39.46778830851391,36.199818955531605,32.86993912441124,31.720515000091623,29.601886632815496,28.309970588286156,27.709584055845976,27.44894507350343,30.98957126825608,31.840422796476055,33.54147949727416,32.35540805216011,38.092720051512345,35.007323675290706,38.10298338580912,35.68560931617527,35.23023578253237,32.70788940815051,30.675168513726376,28.83387708007181,27.553360421580845,24.361251318010936,24.999851132749406,27.730418369599782,29.606113678120064,30.25162944944801,34.70742211545911,33.50215820634464,37.5391798921991,35.00840568656737,33.45662226823991,29.15744020844369,31.3028201146637,27.435830847233895,28.143862759642353,25.733036787501593,27.84516645492558,26.290104509763104,24.63498817895733,24.146670645665214,21.662645502412985,21.89849127928787,17.825243484546004,20.3751525713245,18.049132379338015,15.287777353759525,16.660386662485443,13.283780232536222,11.271758013420971,11.093547876395425,8.969565171992475,12.636244064356415,11.332345666729092,15.316058859772207,15.56886466583654,21.156784030737587,20.503668826119956,18.891342439883857,16.68016152400438,13.136023468943652,10.694101902574166,9.635407184868447,5.339169400964489,7.952489500750402,7.501148522763757,9.906239034857728,13.816694958274326,11.932268825128833,16.650188987824833,16.337670338049218,18.059224589323335,13.005361433046291,9.62377038339373,7.207356004271854,5.392442955264172,6.141481687024793,9.294655117966267,12.760110137973589,17.172016771296384,17.318813362364743,14.362036713316689,17.09114354559573,17.234101805565974,14.080295959681525,14.706020593542066,14.130356039576075,14.628939598529827,16.412324561986463,19.654522560064066,23.41377984418331,26.57586619053918,26.43620368975108,24.552162405406843,21.422856620178713,20.074376284355807,19.65946987521366,16.709285870533655,13.924604692676358,17.68669451191065,14.22247648609917,18.68188748696982,17.051437042914635,14.771980404971568,15.946517750339142,17.8113426742258,14.978181898793142,11.696453186439834,11.59090392577077,10.62773320129342,14.582841146270741,17.096256071778818,19.38321110708774,21.404320511382434,21.62219160059377,26.21643788132147,24.197173167672947,24.503889407470563,22.017216078163255,18.3027337954574,21.024921204387894,22.5948794506864,19.8056474864599,23.234759454488074,22.934516977113343,26.7910645019011,24.867998969408582,25.14677390399431,24.933133957531467,21.852448497400317,21.11482562286263,18.728561527726217,19.024488979710384,19.341321047011487,14.993499109921762,16.92433504138875,15.940815566048231,15.29123888711711,19.8854986351091,20.006027105099136,16.28914356522065,17.93952272600579,22.073402726353727,20.18381668869761,17.552068000791017,22.022369954692735,25.255141142038777,21.950330473048805,23.196793651801723,26.88755743313316,26.163466063623915,24.531805119404332,27.835906479987454,25.461799037213424,30.438015675558557,27.135573956489942,26.23967316357164,30.046346825993957,32.4134485791399,36.864028806549896,36.54073236697191,36.12252043764209,33.21239603630593,34.35772957252101,30.914979113086236,33.54617818658965,33.409158516061126,27.226496643059036,28.156092283149437,30.944902197419257,27.69398476970399,24.39778576470267,25.88698128328801,27.082558362209358,23.668643625800147,20.056315964985057,19.544297383330807,20.64764215575941,24.25977341929257,25.745568630021374,27.2924313057179,31.29832820343364,28.052631859525846,24.372119721237162,28.70614708474598,29.429922998800986,24.564238821167176,25.355640790278695,29.284684220431842,28.52624075420366,26.047311791306342,30.438329725363463,32.35240271759476,29.78441872777366,30.387900156273947,33.57201338252521,31.23005037901803,32.079180012574035,29.22732775652415,31.80851992249911,32.35446691636437,26.73002521288875,27.454948527638933,29.849876102113754,27.809312852992804,23.84400904255339,28.915540033857233,29.54889208524045,24.097921433653937,23.709585955948327,28.920969459988,28.406572253076604,24.64782029103661,21.381013738346454,25.103720377264544,23.005380013169805,25.9434739407311,22.172550461436213,20.552715676818917,19.1983630762884,19.221876519146836,17.031844847437373,17.71864597623273,14.431331147943038,15.295678301772229,11.49559358332557,12.173050738788405,8.90590202262374,14.869772262571257,16.295925963102565,19.694989732393484,20.26093583503659,15.772190752553485,19.674827135235272,22.063351957196687,17.482131944650803,18.135371356730513,23.002140592293397,24.874958917466532,23.38273210129771,25.258478304884502,27.73378254006646],[19.085290783227364,16.090019061282383,13.025420163616632,9.007698176959703,7.602039747469797,11.359927615146221,11.304452410255287,15.887275637376888,16.53293305442603,16.505750621766772,20.1677708166109,22.838953396320175,20.37329096024618,19.48916941281421,24.487014678980632,24.922961090647508,22.04290658415119,26.205483715495088,27.505424881229406,29.23172400550001,32.1461939016823,34.729563990250824,35.670622869472545,34.17103942999613,31.332211149629256,28.032958477872146,25.766525116119045,22.866393027440346,24.883296014920475,25.243834874622983,30.098194749852446,29.1498735594731,33.35109185964555,36.375107935322546,33.206870394676855,30.75909631675599,29.347694418566444,28.559594883304303,27.163159643813824,31.76867348635825,28.797958710685602,30.868543789865186,35.037970339807835,33.98441085884107,35.34785150984444,33.646384821766986,37.7478026240369,37.17032824419034,32.46490478626437,36.4137775638157,39.3196309467304,38.79027089113642,41.76573540824623,36.96193731148851,41.184016197210745,44.09932977274119,40.728430122662225,40.35420071335633,45.0604992667803,45.15481592357228,41.617734088323445,43.183174542498634,41.74323975254636,43.23906306412219,40.27939763611355,36.90709154788333,34.87863201211504,32.54543602817143,30.455245302127807,29.344753941708348,28.662423203075054,31.769639433324933,33.25164893820271,35.5738594667833,34.798439437539734,40.891856790541354,38.49018092909344,41.61842079206238,39.69632164866724,39.729093121603626,37.46228229691996,35.91283065294817,34.040328011114745,33.26393780524968,29.995397325617038,30.113889095942977,32.493841905540236,34.08519188798592,34.252975492254265,38.33914089670272,36.58149327609181,40.18791075141076,37.29893565024866,35.61129747206967,31.024568862032982,32.49593091358046,28.28728106111272,29.937829670968963,27.423020660227703,29.422520964902812,29.096172586567672,27.686803628951335,28.1043089943932,25.75479711333025,27.045454585882922,22.616024991599154,25.131775768518562,23.02511800442824,19.506159100650557,20.680533111687847,16.437003089081927,15.487746815092644,13.711495228393682,12.6486468827317,15.066956457251866,13.98113495176848,18.11000199420996,18.243792091626393,23.56979237605413,22.74865684809032,20.29628406217743,17.754194188516326,13.918943350511796,11.561731461575134,10.00691969212523,8.767278700747523,9.984887256615988,11.949078789410235,14.597785602959656,19.24066371014875,17.173526046089606,21.850733611186342,22.17167570006632,23.941846926460343,19.15005241084643,15.808212790547772,13.034858257690798,11.460195628612794,10.658218722550865,14.389306342899934,16.432000931087778,21.268319959784908,21.36689431776491,18.775304859803523,21.948703863104882,21.610730563267335,18.35459725625042,18.59187103967489,18.147177664448737,17.19409846953747,18.91184351855295,20.862240657733313,25.098799146850975,26.917000069445972,27.257657566806948,26.40119640339404,23.59261139955551,23.00218465998887,23.05094132398832,21.07774135547501,19.21482487765115,22.670351284764553,19.67327972232672,24.299174548173372,23.117566563580617,20.502977800579906,22.033981121593524,23.420150727064765,20.472271701636,17.272441554515446,17.687049610843122,16.790623153760087,20.770421222769052,23.065310784635958,24.96905545931214,26.642936300526102,26.229047652747553,31.15109521327158,29.657891102003784,30.116547930702886,28.060759762471363,24.08545026789205,27.17290964514706,28.855123579069225,26.110749778428495,29.443361837780024,28.847191545030313,32.85021201524517,30.580520541320087,31.19767180504834,30.925935296016874,28.04309525258959,27.183893132435227,24.711145102748418,24.761282439239498,24.52464123917592,19.909199287090836,21.456937656734773,19.404310734541568,18.95469630747924,22.7935547758521,22.815171904042447,18.77280387076765,19.504952366958104,23.622031498977766,21.158428900081446,17.362104423094788,22.075032542241207,25.643061127815095,21.118724735845703,21.838101052412306,25.772276927454087,24.811891092156596,22.110227962505622,25.536982539382766,23.328552203370023,28.868891577907572,25.542611277378597,25.481710291124333,29.49263170907593,32.56281573229027,36.74273526331206,37.14837273995305,37.41102097475007,35.03156626777716,36.80690044428211,33.856596955246204,36.773648295247824,35.97134646436574,29.781785932299055,31.536729118739192,34.10750489626752,30.279774345479098,27.5212116365687,29.654427933890773,29.895825748236167,25.95878832825393,23.720089734601483,22.42247026691224,24.843289124759178,28.241529278806503,29.051452783444176,31.077495746690666,34.687995844478465,31.764030322899387,27.82752883573697,31.332807522050654,32.189957104479696,27.202025150165,27.23388805587995,30.826628183674387,29.731760863349848,26.744771145175985,31.23083605741713,32.83777972333284,29.571842399541584,30.112725858916427,33.62112950431621,31.410889871558336,33.040714924790436,30.858004345198392,33.615122325165295,33.21914887680593,27.46566933058935,29.16801873978969,30.928211759085507,28.293486658976114,25.066764896031778,30.38167454068087,29.968582910914165,24.2916130403089,25.00059146794103,29.894261519339953,28.36469849377127,24.366910101816575,20.40820771910363,23.695134065106878,20.627035548665315,23.763100049756304,19.401251762481824,18.869202940370073,17.038660240607726,15.885189679817916,14.324018150532872,15.344886512659514,12.959840494772946,15.508714984246271,12.35295839883289,15.028290229139326,12.006083650092776,15.721462133578411,17.531890665664065,20.208842458795267,20.711213702851868,15.546275380079901,18.328831339895707,20.93688838946278,16.55534110819243,15.59342399143081,20.42374392863875,22.734846177100966,21.895449441656442,24.340560399377097,26.9555911104776],[23.71753496535734,20.870839322381375,17.533595628575387,13.586890913316994,11.136379049207557,12.798190425307839,10.555187182706078,14.512244882839054,14.102687923806293,12.284627607836182,15.74564849526415,18.972544269505665,15.501230724432217,14.102751137865978,18.98495216144981,19.466893161081728,16.073756496978888,19.96897537514887,21.03418472609997,23.020064939868632,25.852572096177113,28.696936903869336,29.551618018442596,28.24761818385278,25.457144223276423,21.87513989378221,19.82078992692806,16.764864114434666,18.935488757185905,19.82517749411377,24.292064585950484,24.08378594820983,28.273085978118075,30.89435349730089,27.795889620148262,25.01359321995544,24.23569317645887,23.02993005767705,21.867073107236674,27.051847812166177,23.753064219035696,25.15169829573414,29.49859963303267,28.82909213978506,30.290487174171666,29.08083321230212,33.24992877895909,32.39240323957706,28.061803649503126,32.60621902936997,35.2110609265372,34.7681151099478,37.410846115757835,32.382031200962835,36.56521741698336,39.198599243191296,35.55350461891676,35.04021299508419,39.736040308372814,39.739694727401584,35.88267491942473,37.20024851780542,35.68294998827198,36.99557647005625,34.17879114965684,30.832822325054337,28.473886345276878,26.19392894851168,23.94614240543048,23.001983296831682,22.253744997689303,25.45395325594419,26.906615417927142,29.08702259461096,28.48892732881578,34.60783554359747,32.33973532128845,35.654043632972204,33.90757071950479,34.09741092729248,32.2874347178968,31.054156032360392,29.720302682504837,29.31789329575359,25.70585024712634,25.39589116103493,27.136959445388413,28.952850762821818,28.464381513994244,32.69311622799038,30.637079835811033,34.13486225824462,31.395953556883303,30.036547072431894,25.551253775555182,27.170650642289427,23.094519657433718,25.143370064674976,23.17907116928617,26.18561516041019,25.086177933733406,24.886242802334518,24.464654549161295,23.38237816028303,24.97662249931971,21.286211058024218,24.77186024079393,23.321320656423755,20.53745806306731,20.721235309695224,16.81206961510745,14.024991412099846,11.49912202872261,8.941686407266223,9.669943113474925,7.877583995975938,11.796698822267114,12.02001847849953,17.142035248931766,16.269745943029825,13.78405212894459,11.417208906179223,7.418902591385841,5.362775434875556,5.680460890802169,5.862873157756808,10.698679054203284,11.652908556843212,15.108209257086305,18.806657232737724,18.321903162988146,22.90756625979489,22.402961806045255,23.285729025589273,18.536685063037158,14.426543212120151,13.73430565865374,9.794791324046843,7.322107062418827,10.183683836962768,11.744753399570449,16.455663239984965,15.778678112718383,13.37043978210383,16.719080970192326,16.143278014902364,13.005599477238476,13.825661549132754,14.543802327347754,14.016608673071378,17.15729461114281,18.896768288852783,23.61892960073898,25.755913686704506,24.936815675159597,23.758788335652106,20.295970134579086,20.418375719438487,19.245566432934307,18.390708291553164,15.858693101552632,18.115657059866546,15.284603286077731,19.97800146405626,19.781475457330917,17.56468782267787,20.24075597003543,22.04786459548613,20.13468342659942,16.21608412752202,16.64214777828458,14.40846066585887,18.022347461770913,19.942137456922246,21.37521671539142,23.36090306523355,22.12581385597427,27.48730936632064,25.845091918254216,26.956767793636562,25.01323321580431,21.90305336795519,25.50463393833832,27.299804989228626,24.152857239675054,26.384869580471047,24.889149895097912,29.401512703419883,27.050764412046757,28.50014925925326,28.97909861547892,26.03360245711532,26.295515455970126,24.445302580245425,25.205623270904987,25.977667749465464,21.802016274814726,23.762706346970177,22.69125753052153,21.524447442901327,26.113342136538307,25.54874553836181,21.628304312700074,23.632791344982575,27.522113560823183,24.774118589527088,22.177639933626804,26.863472275743273,29.6662072789279,25.40471046577779,26.79884286505176,30.548472856448946,29.00441320409826,26.966403885300153,30.773425082444863,28.866125658372553,34.20793121687946,31.52304967592309,31.00297186509836,34.828048603465,37.818589254197136,42.09088213874889,42.283622405762124,41.98515871244002,39.320812872892255,40.61434227268252,37.13300921008427,40.077615365546514,39.94455386620731,33.68326703941669,34.78200212889091,37.7602313980133,34.42202944523615,31.19244045507121,32.80049397923071,33.926505630199244,30.377448278040426,26.99174208388019,26.248437287959128,27.231427959029507,30.813890750596727,31.91777840515421,33.165881060910586,36.84262485151785,33.25574024765303,29.94331459400166,33.985219757606906,34.12890989547479,29.139736549303773,30.162985968447273,33.5500191859096,32.22970900732298,29.929143238268004,34.70983569185349,36.03889756828884,32.8511115983345,34.12571370232208,37.665323707554585,35.734784866596804,37.065086911703666,34.502667095225306,37.507951183374885,37.708870182522716,31.95717180180664,33.34348776275585,35.69895674919858,33.34198257038129,29.82552943286166,35.18724789325974,35.3956702395082,29.790053109965044,30.01398797586456,35.15800417361406,34.13016693484831,30.210256271446006,26.43345129353411,29.933986480000364,27.05900526003842,30.076876080399934,25.64003936867939,24.664648811320976,22.300460662831046,21.79528819329603,20.457420710787073,21.693384332209448,19.018937990118705,20.850418724256777,16.799454172034107,18.34223255963807,14.380075324622643,18.99669899525934,19.58432860206948,22.738128751051672,21.93502847599859,17.446025222909853,21.315488074881706,22.81260700188558,17.43819153559185,18.38570805616391,23.098600391064398,24.236249471286758,22.652394325918813,24.488416278720543,27.15191306864405],[21.758738681420482,19.221004003901154,16.408917572255305,12.057678933982483,10.896601775442463,10.445885978431273,8.367503963066365,12.30506839720903,10.89343138697212,9.62836911574955,12.930728744021442,16.313913102859274,13.948506882446479,12.001813701277033,17.1827507065151,18.22228372083402,15.644619645807461,19.870706071040775,21.665601871006473,23.99628411007711,27.058350756834503,30.304512517121708,31.248987369482336,30.346799925565424,27.56592111606818,23.626867513292282,21.642305101732774,18.040193845698493,19.388040490674044,19.66237267435967,23.3928511554369,23.197031362321333,27.05247315048411,30.111339088820124,27.469482013917382,25.11986699846662,24.429885658711,24.164982644280155,23.62324439872541,29.223481951644256,26.272083273178993,27.018306753269584,31.443590736099694,31.227774541982864,33.00642853623863,32.17911976576671,36.33126850328562,35.10801425403212,30.96998111352347,35.80847013602608,38.06149038088234,37.435222162024225,39.799815047552855,34.57782736575727,38.463937162038484,41.22291775260882,37.58915666832542,36.60246065031763,41.27636907869281,41.6151688840148,37.47503143480074,38.258815056044924,36.31462856708195,37.88022011873455,35.44463842939891,31.857656942890056,29.133776590281325,26.364785509995958,23.941260023065198,22.223469616896846,21.560186455544947,24.515381285683635,25.990431587262083,28.804776856741324,28.03772174057077,34.29517901978701,32.55543283328541,35.58180095300909,34.24882780274522,34.94719231932159,33.114485949078144,32.454480349332556,30.794329006441856,31.061537765644687,27.642980070812786,26.674189958748872,28.330302132873676,29.475750141133354,28.944937412619744,32.51058645256814,30.21625655869572,33.39894550454379,30.297234791922527,28.633291795448166,23.969837819348182,25.078728540975813,20.80277652710089,23.244335465226964,21.13082106472411,23.941802144801137,23.810977472018042,23.81830516728181,24.184376553546635,23.30519179256168,25.939362446040636,22.114500163483335,25.753909396500152,24.82240264185941,21.674462498385477,21.25492039416866,16.949194145982997,14.705338678227529,11.026162633843974,9.836985313759216,9.558193327550224,9.1836728344381,12.877837881778264,14.077944524926485,18.391677502293213,16.58753253260864,13.854458160781293,10.846916913030649,8.052845940202227,5.491231948620885,4.250503819903851,7.668389635456126,10.861293068392815,12.99865644847334,16.636462687088766,20.60556191695538,20.71525325642111,25.173848914247415,25.230809732478004,25.582770675556972,21.425046251145368,17.169195260718954,16.94104382874133,13.454834526116965,11.35731227219403,13.594770939962048,15.37745385716276,19.83923923984732,18.468526371521712,16.050814313194717,19.135521768349644,17.593238312363276,14.573988960778449,14.359999008137361,14.87399346940575,13.075832964089589,16.123961450558816,16.740439317248907,21.74784958271101,22.999546748909445,22.28119807290085,21.80208910266513,18.64323815089779,19.424130408533358,18.670123976220648,18.760545041207482,17.41793409177044,19.509996170077986,17.868418156206534,22.317374890585903,22.863793341199596,21.32997556343795,23.94469888661992,26.0737633372965,24.118674868295674,20.250906082713065,20.333720317368595,17.877851515860492,20.868335459447866,22.227301945176766,23.059716196308152,24.440920308460306,22.65195996281212,28.12432736372671,27.228519819489062,28.408178659982813,27.243517385711222,23.71665041876411,27.9453996817519,30.12204577179796,27.11523390453346,29.31751319699148,27.658017714627057,32.5319526511981,30.559642670016952,32.04527673674851,32.718499835485474,29.53948458297637,29.867393962962048,27.88289326242119,28.47780002437887,29.129929519404318,24.876422255934667,26.319197869290758,24.787705119741986,23.0804314979143,27.43959128806358,26.294835913107793,22.289749815840533,24.477624224800508,28.023258263700658,24.66749245625796,22.31876365452896,26.971320957514664,29.285226308433913,24.52633881569317,26.08856087978061,29.719562811662257,27.62446804524137,25.568755771969983,29.649687067001096,28.17698567970317,33.52278483449913,31.65677210377698,31.162462777115476,34.83830440006037,38.29888682659834,42.37861425642802,43.007502891416735,42.697767027753144,40.301932840583646,41.755173863620826,38.31501339699166,41.65505125716159,41.470856437090724,35.152752479625946,36.5496371030561,39.832414093193464,36.39174364786185,33.26738409750858,35.273940800491225,36.41220951802567,32.6393905411753,29.681075326714442,28.218384621473323,29.225707153084898,32.67419197462136,33.1779697569149,34.31091668489381,37.581145981904584,33.92787520472578,30.795298454010613,34.356607157548865,34.16497555605154,29.154120301471746,30.13934158084203,33.062393162054086,31.379359273181308,29.176234225076293,34.12495021432812,35.025895613937244,31.475075530749944,33.17098890667512,36.89707464482887,35.31322530866253,36.98752193029522,34.72119224411419,38.06605419809041,37.962818636001174,32.19995716549438,34.15316178765671,36.51076492696037,33.947002082603895,30.895221791761003,36.546899850296874,36.50360801142838,30.888226891278286,31.688517743228587,36.850890828611774,35.53299540041489,31.602790375531892,27.4762561898432,31.155756544025806,27.850211669052644,30.455287464835013,25.599366899966128,24.699848205427553,21.589842286852328,21.200999030143745,20.535727791848423,22.403327034451078,20.105224674543177,22.077689101733935,17.741568665224985,19.832508663670197,15.603143444140775,18.838806130348274,18.924440836689445,21.69034096244602,20.215567233128727,15.8680566280635,19.43618296337971,20.38553302919022,14.906746440873773,15.913131829138113,20.32058523956059,21.050648499874676,19.525755350517525,21.406221879167838,24.138561856337976],[24.99337690907672,22.756051378643324,20.505174161489727,15.712254129137525,15.45574430096338,14.278096489803355,12.177505404236562,15.424019307972548,12.709950292596199,10.477245937552041,12.768318582441589,16.85968680124793,14.576090648903993,11.153723735622702,16.22300407047578,17.956696874175783,15.257099391747746,18.878949656488157,20.11672694037386,23.224896487602393,25.842684491288573,29.524854939976418,30.012464120336364,29.13923013356979,26.845200912566124,22.61483086397244,21.394105709919263,17.862676546303597,19.292721312518974,20.117678740147184,22.61432286401003,23.55860220469877,27.04644679586192,29.792744324514192,27.569741672071885,24.998010496986087,25.205174900623167,24.613402542079907,24.369011899910383,30.327587655269067,26.929999102169678,26.927766367764303,31.463466780282054,31.60780858909802,33.17414338819796,32.68287851691829,36.820997421075106,35.66060864876166,31.980718898985945,37.063740882627485,39.2372680148751,38.81769549257116,40.936425868074444,35.66304904501043,39.510981371433964,41.87580644135585,37.95394523923561,36.934967249093134,41.52704175216629,41.63379891063448,37.154301476339604,37.588222745023856,35.52695535346316,36.64508933053422,34.52058082486536,31.14068486331973,27.606921756550623,24.99060601863265,21.818878477512502,20.06714029015497,18.868397291291597,21.36245366213623,23.448490337541475,26.453503453322345,26.353077495981346,32.70241829780937,31.567287109790556,34.79031406032822,33.913900943459915,34.92172057708946,33.71679386795856,33.44745745118143,32.33981587856021,32.91476943262772,29.27943961853437,27.97874602117397,28.86034699409197,30.161850232282763,28.762586801351507,32.23450548291665,29.37010573478495,32.06143601475816,28.993921960263375,27.68260836635523,23.11560634749841,23.80289391820288,19.589262705772605,23.130366215617844,21.630765080695163,25.12782502294238,25.03482203367019,26.096876747410004,26.180537192596915,26.227299606857414,29.13166630122498,25.73751892053838,29.677191696163717,28.969052614409186,26.051869877437102,25.358836612365526,21.20421077709495,18.546976220964144,14.627799826046218,13.045438579202846,11.006698241320766,10.181897620421383,12.68278824708979,13.414779597944134,16.738275999272624,15.160538179721405,11.86579063696976,9.350476985129943,6.9720100991599745,6.526330718232551,7.5179918700104205,11.560870519558234,15.391244102983539,17.270815268499426,20.966652135661096,24.58692872070074,24.960164645914674,29.399873375437316,29.10117723198472,29.32228526611225,25.091417754212994,20.75001541277383,20.82489797546582,16.686510717734897,13.799074461123084,15.671036255564186,16.015380257009024,20.113194637894583,18.548535097187766,16.86797627136618,20.05278954037202,18.506003669670022,15.906436873488936,16.17911919636067,17.551203150845303,15.777130753676158,19.3678669728177,19.241738996869802,24.439173985748145,25.135520836022373,23.86260861234521,23.748918920574337,20.46916455305152,22.056325031474966,20.663229509280676,21.7853145801018,20.222275891982033,21.28738337566976,19.74921748795492,24.057872810387646,25.087953525132708,23.379700540332912,26.630024522470467,28.5219843657851,27.047429298136908,22.996532031735054,23.447686448690078,20.703000194675088,23.653819133213947,24.88284136655273,25.43888463873466,26.974109324645543,24.56327980974575,30.222420806330057,29.30952878093826,30.924669476886244,29.794458366062432,26.912645819850805,31.198133552482645,33.27706329491995,30.082014585313036,31.58491929695041,29.34330696602306,34.30115291157926,31.967350638916297,34.088465772517715,35.05314507658114,32.11970693316222,32.92453482422747,31.2812740867566,32.164380447198674,33.073325919446305,28.920735804043296,30.63698552099995,29.292644265866087,27.65151303706825,32.071847760386234,30.888855416131577,26.909294203997675,29.119019005065855,32.64615269770115,29.199682989024495,26.81777640405835,31.46698251639587,33.71601556049513,28.766663437656124,30.274406194578063,33.881558006675775,31.586158973235243,29.34910726204107,33.478731503230826,32.1546958993744,37.58581001304089,35.76043513647959,35.49210474347456,39.18643956655375,42.76102571234531,46.7696918287461,47.518967135835275,47.29642334075868,44.93698950751072,46.398361942921845,42.937741690172764,46.25517746557675,46.09243828549105,39.78059054899771,41.12741801554181,44.357525538349634,40.918070297821025,37.78647772454444,39.664624930624974,40.75237891591362,37.01908028342313,33.97075063054216,32.75350078746056,33.69862202604641,37.18432083982147,37.77218089637907,38.79375076205001,42.039307908555756,38.26286405110172,35.288543603492634,38.86090533893946,38.49069175471607,33.51656152929381,34.62420479958766,37.381411882623865,35.55436621731009,33.47044639732776,38.46497974467593,39.172444010676344,35.46587510088581,37.35774709864778,41.15158080731472,39.69342888639528,41.482007911916945,39.28408414147161,42.67979101998539,42.509681136082854,36.75150531445129,38.78893071688371,41.09713989587629,38.47359676923005,35.48274181537166,41.11132480907738,40.943234205587835,35.3007413906761,36.14507584109087,41.23269786783893,39.769196092311994,35.792571331673045,31.619832350469625,35.01679238677013,31.540490773492465,34.31755895610236,29.404156772647486,28.87907296801087,25.670918877685097,24.931076842830052,24.48943323026538,26.277983172644234,24.213239115123027,26.50353133180319,22.33517308422496,24.44680273404456,20.21309298872595,23.393284428601216,23.275790108456313,25.913708728080483,23.97354764932273,19.929897284786975,23.278837029360247,23.77557222621098,18.29911713679871,19.35656234049858,23.356523943389757,23.61645743743287,22.123914767548463,23.812624651471115,26.486250902292703],[25.857089679128364,23.673887258162146,21.02809426574478,17.145852872736402,15.896219252585317,13.632033482692238,10.550384048880922,12.511567752766835,9.324489067349651,6.0226870769843845,8.075233371269958,12.229947109464744,9.87194281732437,6.408733203512985,11.58559956489619,13.295251211223057,11.179851674648535,15.17152169297732,17.46383957376866,20.245126396955886,23.347558772585824,27.070351848439532,28.030827480942552,27.737611587859085,25.08075911926689,20.777488379681397,19.15202448484316,15.153932205212104,15.645968384898238,15.864206908198028,18.201087563352175,18.89061995491625,22.292195545345116,25.231613684788826,23.139256138465502,20.92217940798177,21.023019803749232,21.215026240299146,21.509396987502253,27.660529360978884,24.895917013755625,24.427262864896583,28.88222157291564,29.415827897252363,31.499652147056846,31.44161193734623,35.48076944407885,33.74018723232485,30.23179292943473,35.594612973455526,37.239987231384696,36.55939275468071,38.35188288314885,32.93974925282718,36.42535251141566,38.98587223528427,35.21860669236681,33.72883528583729,38.277241073176214,38.824042529990415,34.25771482730737,34.34118806773912,31.988797712477695,33.606977095091814,31.68073188472962,27.9786095344058,24.719570577331393,21.583924371488582,18.955581919476288,16.626576068763967,16.07967258632273,18.903138923349953,20.228353385114247,23.464438204312533,22.662930787305328,28.97976936150048,27.85086476598631,30.74221444391461,29.956524281862826,31.226446413227645,29.851255052570217,29.9882595294191,28.621028064091945,29.747478026637488,26.34984988737641,24.495215335448425,25.386602601162686,26.1153694790905,24.91562128629252,27.936906038563,25.17936109728976,27.93545845338434,24.70032951793116,23.129726285913108,18.486675768032434,19.284046600479932,15.028700321756055,18.30166762086579,16.819276330020617,20.531048205786995,20.339501942393543,21.830372143211207,21.930984107632128,22.523897180026328,25.981064778582528,22.973421792198017,27.222048860875354,27.147954149693557,24.53940667034293,23.105212986292333,19.288988198879196,16.287839075560022,12.032888076165843,10.89224119758736,7.658799539041995,8.32505802048399,10.328559648087467,12.616000655701184,15.233704880515216,12.369158736004625,9.661994620578598,6.343262165952946,6.489317938895999,5.351989109399377,6.0302053431094516,10.953755655618478,14.522108212486565,16.11779123213029,19.816310075873748,22.88255041764862,24.353181141578442,28.42952230415208,28.236397521384625,27.630502071879285,24.13782564295718,19.69150803632538,21.003652057585175,16.863769156803766,14.464606617913715,15.155359448209717,16.512109281943268,20.0398608698937,17.502006593302536,15.538252483620838,18.102129312217656,15.5885563588702,13.279378530812322,12.710792669538536,14.208495959835652,12.12480256470728,16.0395499204004,15.494360000353613,20.68363131685847,21.55489140188571,19.694584218842383,19.431945409420955,16.04996154102543,18.093984498208606,16.446153895760947,18.453848092994136,17.57134289093019,18.14651560886554,17.874971285581054,21.69857819697197,23.604465697949085,23.020297502105272,26.18867438482445,28.716855203284517,27.51213307252467,23.47747214688164,23.333697995196587,20.088835941018615,22.063563525066755,22.592759784490763,22.496217799510923,23.589516403924375,20.702451796990154,26.350639693527864,25.947278530691033,27.700747423818875,27.27334917641073,24.40001773567213,29.188690718213547,31.596856258850103,28.533180455673847,29.74357645573709,27.321724187762975,32.65575188718864,31.023415576602112,33.0918551475715,34.44055968279535,31.174582073616854,32.34169370686701,30.787518991147167,31.74250894646954,32.973100547842115,29.099465248782504,30.484740762497008,29.393226866834983,27.072317522668094,31.634105911653396,29.87378016896035,26.108934683334457,29.078158956549256,32.21791119018165,28.541357554585517,27.157695374624492,31.62773653689798,33.14639724112871,28.558581487922385,30.586013724650417,33.925880933524034,31.262986237104077,29.77787976341996,34.09089795857263,33.02514648550201,38.105931081951375,37.044257777497386,36.24276638852417,39.66866074508506,43.22946574129575,47.239159110648394,47.912243899343984,47.18657933090984,44.737599675808745,45.90044386097949,42.15022007939049,45.659966864356974,45.93542365872929,39.62435763259258,40.69043079138676,44.36858214262913,41.25463711525696,37.90802973286323,39.73088236612372,41.461451697459985,37.8766780185009,34.43360087045336,33.00796116710364,33.06787475340333,36.47668573994611,36.86873386175259,37.35412703917578,40.37343106253658,36.28276540278889,33.81784171672624,37.41555242324538,36.51463315092368,31.679466609439665,33.3427956754028,35.78565779422781,33.80905095584137,32.26481285666884,37.3451507008089,37.8042668819497,34.2649422962894,36.65687413857124,40.39270814653784,39.211123334130164,40.78239879706268,38.42559536233857,42.0448603543664,42.23525941793071,36.57866475663505,38.523115505385384,41.26079106695828,38.837324762491534,35.8361190988952,41.572231685138604,41.84979632395993,36.330553861516,37.050285256423464,42.35059941359566,41.25887801779809,37.39670876438537,33.27734963376812,37.16781533007325,33.85387939413324,36.197148550816706,31.205751853548012,30.042736980127795,26.462599276880994,26.549144480257745,26.204791767722952,28.351124730444294,26.01823097512664,27.600578402674042,22.8374589093779,24.404168625066724,19.86699454226829,22.8175277863992,21.86803988466526,24.56963386189329,21.884084140722823,18.645994730452557,22.49444544291001,22.234828452104434,16.556731094518632,19.004206915476946,22.703455301888184,22.159908578806053,20.117010021001708,21.235006941659517,23.822715583282953],[23.5587633643824,21.789980605582407,19.6559207728291,16.229725912114343,15.82275916038305,11.807030353048134,9.37914028032946,10.361652922295956,6.029616254865758,4.902382531612465,6.1245576038171725,9.718573874928353,9.892067675211877,7.158166770402019,11.73302309726687,13.749316717070219,13.324479269712715,17.51602967033281,20.76313109658295,23.284910264231247,26.69058857256049,30.430444757118686,31.687260212527143,31.768850845606156,28.96618103897468,24.6856203335357,22.82172910981237,18.599884657916558,18.105123249314808,17.1954389855574,18.988997859021957,18.9653517586186,21.870889578696815,25.489771802483045,23.88657909728851,22.5074279803898,22.191349389198884,23.674694107869097,24.42606817404093,30.51532629770516,28.417424045238704,27.777030440142042,32.081008474852155,32.841353870673316,35.27870125803316,35.37202575643751,39.33258904490771,37.259974922361565,33.74648150208848,39.13227761255879,40.47472786460264,39.52697173389464,41.15039270333581,35.681923112514745,38.80225879916778,41.66682403999087,38.149570345663285,36.211503385397855,40.6752055022491,41.70323955911171,37.12596567505091,36.80968797869693,34.09481232266659,36.209948013615474,34.59944811070796,30.642930819661768,27.56120720780639,23.93303724597002,21.691249025885273,18.5604000656233,18.49315724817549,20.980110456270893,21.895793905513372,25.675821033203395,24.319050346280957,30.470553315113982,29.713389833926577,32.01963007847998,31.519503206355076,33.18150661925502,31.46664662980313,32.02947903750745,30.028277560476322,31.67666687188359,28.717271320200364,26.440866183622177,27.640853598193008,27.46424017579879,26.772028774085797,28.872745204075503,26.252034726553912,28.75027093235654,25.11677046788149,22.95444343144425,18.236222993511525,18.402730698024317,14.0281051160487,17.09296797503924,15.104776122368571,17.956196062182048,19.258045120406997,20.447120850002758,21.749078031250015,22.109348536232588,26.471630843134932,23.256489225704858,27.32965197516091,27.692984127884756,24.74694579968305,22.870033865059753,18.88857323634181,16.875435622777438,12.17710238635784,12.792557455197718,10.20439727988435,12.197981875300815,14.251315076173139,17.15039523139834,19.394070293917256,15.840093702072267,13.617621939817486,10.238919766847319,11.237428151320664,9.402527967342126,8.057791921502256,13.195406364760437,14.76951730514372,17.179470369425772,20.689072024548963,23.974296242228377,25.771420169260697,29.62275806098297,30.108533390973378,29.125882032355516,26.275000546206,21.921480399901494,23.303319843269048,19.911151831659478,18.14420171405896,18.8568883673931,20.981498444415326,24.515868284314244,21.767905394440263,19.526467621106047,21.700760269560423,18.548002499514237,16.359056361645823,14.573997753152556,15.1787293545111,11.834478582094485,14.852911999523826,12.943757459699363,18.092738689849604,17.85123621284014,16.347936015199362,17.03298242560731,14.421961546743342,16.93130106874347,16.30681984230084,18.826537656453056,19.388317591133486,20.33183938739593,21.07000022619591,24.578617356580253,26.742029822580864,26.72967991208927,29.44372841001529,32.279012438473636,30.764322495028733,26.897188363122282,26.360483774338658,23.228129767867248,24.74406757534965,24.85959416266751,24.355171787598234,24.669583075394165,21.660656933079366,27.02991061349027,27.50021602271283,29.0158103210559,29.376111013436397,25.844533396713086,31.0413720898981,33.79933915437875,31.026982035655692,32.58693128834217,30.411192880532376,35.897052592230956,34.79720055494653,36.51657027406027,37.83710116317791,34.28662569876738,35.213936602059654,33.374526159190566,34.01772904083125,34.98660253669799,31.04727013027337,31.838384002183282,30.289352127342074,27.513731520721183,31.68959724524562,29.406888762386583,25.726151890501153,28.791970905774182,31.46109918634763,27.33326626901981,26.39349967701153,30.61363053546371,31.520095685648318,26.723102819060934,28.92946184455257,31.984052553430956,28.84698675164738,27.603378436412477,32.04093720296028,31.447550358472807,36.28681033041202,36.15576797610235,35.25603431088582,38.40561752445098,42.31402735441818,46.09134332280959,47.138866059578866,46.34040691077306,44.180695124762615,45.46663311735402,41.81353662269788,45.687780855864325,45.91658370817224,39.6453493803109,40.99526135263406,44.95625376902479,41.79491547568458,38.59630489113687,40.82334181999654,42.57824697612821,38.8231303982629,35.8489007485656,33.69421566878957,33.778706574089206,36.96932913259733,36.71951928489806,37.104804602951084,39.637412559296756,35.60441757292292,33.34790879790137,36.34639053112884,35.14533952692062,30.423682289385326,31.989614237386164,33.89422902682411,31.61083169602149,30.244917202613408,35.34620525988335,35.36747120221976,31.598514560369637,34.382782688978914,38.19327352175979,37.394590082289184,39.22615719645283,37.19226378941087,41.082800111743985,41.01163279639126,35.48314354565333,37.90638974673836,40.640730077082196,38.105318854677456,35.60151142733866,41.51276633239867,41.625883501736034,36.2339445481509,37.44444371317931,42.71419362172517,41.45230827111596,37.68195880736295,33.371149434969865,37.478178129134015,33.946041678360636,35.72752442490247,30.524177650480265,29.262067462335857,25.12939450103985,25.576536644337427,25.810158249014552,28.473762834638656,26.455107275374395,27.89594758143185,23.013715971015174,24.907655738312794,20.40313304002526,21.89358273340603,20.45107580932045,22.595442953963012,19.315492775824715,16.632287140269497,19.959877530572303,18.99754193655653,13.644917757152587,16.333547938502644,19.336343296231362,18.184603130217162,16.164533628179477,17.18261775221102,19.748222101269114],[26.83188843906634,25.25423813952297,23.238346047186962,19.973928935086104,19.499098190169924,15.289474490940089,12.7025285647515,12.681461733246804,8.046094976211002,6.066995582646205,4.724442144340612,8.53022309738368,9.393782420308748,5.892792458642404,9.344812676606741,12.015507947127006,12.382155695050614,15.977999487064741,19.444390727970738,22.165869570922002,25.448095688092565,29.400901099211655,30.612486681369678,31.065300279601487,28.44549903277988,24.092092563913084,22.56121758877057,18.35824704700337,17.283757064339287,16.305936107073627,16.724109613568263,17.407320588503364,19.734767339812443,23.237359812133494,22.186593343759416,21.029254349274026,21.301025256470275,23.088024346479667,24.342788979727075,30.569154414444185,28.610492853783175,27.259078171822452,31.462749656511484,32.66276078078307,35.207198642031976,35.73100858288494,39.565810697310056,37.251448999987105,34.16906686188251,39.753499743953256,40.75244517886623,39.806045003943574,41.07265826252605,35.57772888428795,38.408433402654346,41.094569034528945,37.53762874153654,35.31710955957152,39.62462599147278,40.76175238083402,35.972388156174134,35.17505199008552,32.20626297052211,34.316377976016156,33.10869281114585,29.167816512741613,25.76571410965656,21.967380091283616,19.65346049622513,16.06061819017941,16.129593597147167,18.26833788785518,19.028967953157903,23.13175496331757,21.77729430342764,27.826954165654662,27.616884064442264,29.74388842805615,29.698040375182387,31.759883847635916,30.4028211921446,31.495062771908785,29.732572370019543,31.875642094210857,28.994970159344312,26.248214801256736,26.908413277517372,26.42748011121486,25.28292515631937,26.85641261205106,23.918266809372135,25.965160652306764,22.23133959771734,20.122254820461933,15.524159404538135,15.192267222586015,10.881590675262595,14.791414086244908,13.437396308537119,16.861092434847816,18.254602010871853,20.507659440111528,21.63007638611159,22.935048501171625,27.62681378861411,24.966240950367855,29.248980916599855,30.01001189588363,27.399192809343955,25.120248128463487,21.522287866610867,19.195128203894452,14.613964617563731,15.071169305581911,11.518576484970279,13.669909418803673,14.6416958418764,17.779634293665417,18.88611831258947,14.929168897730753,13.032922610084041,10.130737715371698,12.511165312843595,11.528611087584084,11.066834558874454,16.121859371548666,18.032829684950592,20.066032999108522,23.51559225281136,26.312043095882846,28.632723712834924,32.29237279911773,32.60155589651657,31.22119548063744,28.668827358782806,24.31218243592794,26.249999299129943,22.56687818021493,20.630681728735727,20.792490166328214,22.557898223379684,25.565494654369044,22.383942828369996,20.51219640151839,22.336399733974545,18.845985969047476,17.214920648007684,15.395441208996914,16.488333719966143,13.31547365466773,16.51949728111707,13.98431133064903,18.853869738278327,18.24150851822678,15.945859978925274,16.897022329697705,14.37956548862486,17.659832205912018,16.522350684198216,20.092072656001104,20.831086304570544,20.897042400980673,22.287653571527866,25.351937493930016,28.130856816968702,28.50209408860709,31.46702138697583,34.40514413407346,33.26063366967739,29.33793789145376,28.773192774304192,25.361403996261284,26.439374974950265,26.172554972102127,25.20437329460412,25.356235318609478,21.790836597500522,27.06828532518367,27.83448915571856,29.653490290235776,30.3974587832296,27.334607537393943,32.68094590511479,35.488917026684604,32.71080269779476,33.71349946539646,31.158548399923337,36.7777889360508,35.82939335313437,37.85635729829066,39.50101414431068,35.97667902666298,37.31511039713778,35.718594626919334,36.54861057086737,37.79021856709271,34.03963185600617,34.863677994416506,33.54953573675223,30.590677070440687,34.836699187024905,32.342981827240806,28.821156559317266,32.16229591788763,34.660063934029225,30.471827333121876,29.914130507999694,34.027476494575524,34.600903660074486,29.95682325526387,32.312407403322254,35.20867636787617,31.867657790670158,30.878169961073578,35.34664962959756,34.926380031879084,39.61728696644428,39.79497107709275,38.79459657825366,41.82780080640679,45.750065206524376,49.47826715099736,50.537597004564546,49.55948681014277,47.37766007866275,48.5165148094076,44.73508853250757,48.64913465218263,49.094351661232416,42.856092059293786,44.03159119019131,48.135940871347316,45.134325721991154,41.84200900931242,43.94761916652504,45.94941633960108,42.295440770736505,39.08955885962591,37.02733622785031,36.70343405808669,39.86543607650291,39.60443126896589,39.67856938400966,42.076265090211244,37.864136510554324,35.96594822271433,38.9670433691857,37.426217003128954,32.87057168160142,34.748941540023615,36.395139760393754,34.00024081292445,32.99010402924282,38.07624280860679,37.87270412292001,34.165934032441996,37.251637390728135,41.020487963123756,40.422671653447914,42.18603703251679,40.12308046662038,44.10135183093016,44.17337280276154,38.734952312475265,41.11620365425164,44.00002067812985,41.543539302711245,39.05265040364976,44.95943592434986,45.21168320356878,39.87044767580137,41.01392200423427,46.3260009128033,45.16086093675928,41.415564129211546,37.12745071854352,41.2706080650884,37.74291450960577,39.46918094018776,34.24828133712254,32.92938611405701,28.693709377203827,29.260383377353286,29.57640774457715,32.274377423287305,30.233592348197064,31.565836327248174,26.587989025187905,28.240252437727992,23.683323018986407,25.168397456717848,23.35781515694403,25.422122974395027,21.675861875528614,19.654944557800004,22.962011530190285,21.450771292971034,16.35862428238158,19.500592837112517,22.009829315787307,20.211172683788263,18.030949534138657,18.488073600289933,20.788293787056805],[29.47193491240469,27.9107330525618,26.133588011242335,22.17026228535667,22.147563974447607,18.490420611739758,16.038225804096808,16.737671970266106,12.200598141820127,9.645450067765678,8.470665320564118,12.442994985095291,12.399563225103162,7.795087512998653,10.837518041514882,13.947174367270367,13.541708793380778,16.28137021436178,18.722271507591202,22.189942019441983,24.86525829649397,29.119018732968055,29.777244742874984,30.062781380296354,27.969278933751472,23.472315107673552,22.69796523468468,18.806825203411908,18.285998110972923,18.2505848507176,17.760946236525317,19.739122201511123,21.835711085853767,24.71578461883789,23.88996503135037,22.246634798716425,23.37084390409781,24.30273865039617,25.486851916583145,31.851752551332893,29.278943761231965,27.56285750008209,31.854128082046863,33.158203796856036,35.32309169554334,35.94267671021274,39.784320355974046,37.74636656144398,34.956645803896144,40.5948474005914,41.746949876292256,41.07721653083959,42.297266385931,36.850612766570634,39.82609367933891,42.08234490437293,38.23517382403591,36.23639889725652,40.48233329589643,41.20699905974319,36.20726412058843,35.30447467395971,32.41463118131904,33.88602360569241,32.84544075181758,29.252982331586068,25.073406203327554,21.684190752736995,18.471234228527898,15.123029762265615,14.366569639704387,15.898161508061852,17.594205520418882,21.767103702267928,21.38625687526287,27.50877350106381,27.79371257357244,30.294397417810174,30.559658026298074,32.6903190863447,31.97725586003746,33.12129034719776,32.011789060134255,34.032091567012344,30.843579966753516,28.182239751663364,28.19759542145727,28.243003830620605,26.235088080328964,28.05685794729863,24.584307715222025,26.165787407864464,22.65361341626976,21.169390937919857,16.862703799833195,16.198371993730657,12.23037979145253,17.25787028691848,16.69060036458849,20.645575911452276,21.588666160164152,24.411143906131798,24.958114196677,26.66197479432039,31.007547674061534,28.49011820513793,32.874749876384875,33.39533748819531,30.84583056319513,28.830960040358846,25.166351280364495,22.47656052698298,17.98986828790091,17.59225794085082,13.572188029772812,14.694153682910777,15.051841575934345,17.359015065616067,17.7969201962609,14.482641308184823,12.061651658872314,9.989782704033825,12.232692042706988,12.452397326728809,13.13826065805549,18.20200470642288,21.055907596030572,22.947287029711138,26.55436531944021,29.388472765475665,31.373125611766955,35.25673996163004,35.18038537791458,34.10552663383029,31.073802332295227,26.641526478176175,28.299200744939007,24.109631252606896,21.55831563133915,21.891790136440946,22.5240048315994,25.37251998604432,22.3783894740051,21.118138223112332,23.21322165407057,20.19857636010979,18.731996093473647,17.819013698368057,19.560002518243955,16.945076480186728,20.53448574053255,18.314522428560828,23.19196924674428,22.516343699811625,20.109350867478405,21.03338480645032,18.332476923675788,21.632430621476395,19.934337379100562,23.505490320524757,23.447605780707043,23.021877262849884,23.796506689105062,26.98689528635155,29.706823928963807,29.521531670687818,32.95489702190893,35.5166339147236,34.614849359920555,30.54188809564247,30.42030762430679,26.97673733462606,28.46309267349334,28.46443884302105,27.672242755829867,28.28454552006677,24.582501878972472,29.99658658107436,30.329717914362046,32.42614108142878,32.74434552157549,30.21944148338787,35.325022418156074,37.88678266281507,34.88106209349134,35.48401305495575,32.574048332240565,38.07945398886697,36.59344226801417,39.100120822077145,40.816896567759414,37.5966577964519,39.153564756101886,37.776598992761876,38.81771481769068,40.16199282777842,36.35090797644926,37.575620779413846,36.3638334295629,33.75614734585141,38.134219745811336,35.944477289408766,32.28727329777137,35.37496563584326,38.15740990498225,34.084083506550535,33.01100585523034,37.30370903369392,38.27564460331008,33.41208915889518,35.522476792263284,38.59829289103439,35.38595950423448,33.95534144493328,38.38003526623427,37.83106298922947,42.779920934412985,42.49741907201886,41.814585397147745,45.03974754795152,48.97235614031323,52.73527438635386,53.8065896713817,53.0612823098283,50.84810744548694,52.07071930893909,48.333224937566186,52.09987249146257,52.42238033380292,46.1346820417483,47.31862812630437,51.20171421316387,48.082630093057276,44.79584278875076,46.76867018476969,48.543975685387,44.87352616279059,41.609424823689544,39.8975183661809,39.84073989043145,43.13219749590569,43.1463760083636,43.37916423847066,45.98293210316055,41.78411608775239,39.7179968630167,42.89172345022333,41.52223939859406,36.884229581143124,38.65123827325555,40.476671933844045,38.13371152842962,36.92740325846366,42.02364047226816,41.91582008670939,38.108121053082755,41.02372218090337,44.84763070015645,44.122212517605746,45.9715922444183,43.91136739315805,47.79281911819369,47.764935862885736,42.22463453634486,44.582498056794776,47.311372064669385,44.76238452107828,42.16353920229308,48.02851286722546,48.104858943442,42.63350378637181,43.73541802076562,48.98942654111141,47.655307806546666,43.797983761525074,39.473572804407226,43.300162662680435,39.655470207553144,41.74752948183589,36.530196150510925,35.622545370946966,31.558107081951686,31.586135886365415,31.838884472059654,34.295363802306845,32.346811099846605,34.117904573890065,29.36297791300673,31.17279396542883,26.620550815362247,28.60404885459952,27.15312377258272,29.311693902152264,25.80539192228705,23.38706694393854,26.569401236959138,25.34329836953359,20.23194508655455,22.745738591432946,25.376308572504946,23.827768304764604,21.929238059712915,22.563044724481752,24.823741542824447],[24.572658651992526,23.396780154010887,22.30340254008704,18.51978040522327,19.65883811588565,15.04966080447418,13.776761792952195,14.554221494527473,9.912054589873044,9.891806164023178,9.429821907963381,12.49826114121969,14.204691725349958,10.837066408059059,14.36559592403702,17.110691550760674,17.313794338658166,20.873026790700553,23.888872447667815,26.929789257534335,29.997937434079848,34.05406764483889,34.997605379779664,35.18490934228248,32.77694290251566,28.342812371752167,27.014491726132402,22.881880096439435,22.21731971164672,21.355190242281225,21.7159557746925,22.37554003457756,24.497816009511574,28.124831158172167,27.248100763935962,26.133647637993494,26.34308143235879,28.036741912100357,29.07778362528083,35.29720848394713,33.07426973315122,31.950020873576907,36.24939323598128,37.2896545372062,39.62425399422398,39.90944267508215,43.8452025886966,41.79816211506579,38.5461655399181,44.0241295494363,45.30268558154103,44.420578918126665,45.869411853658775,40.386431722654194,43.359514497086245,46.0481262982605,42.43483571016328,40.34022067944185,44.67487999611096,45.69535731413385,40.887067428606265,40.117959833912444,37.160170041946294,39.06760178246069,37.89764194661133,34.069623519244665,30.373027382957638,26.73937960432045,23.982012849345725,20.46942602226341,20.066192223571388,21.66434359594054,23.059321744406784,27.323051203070715,26.418944019401724,32.4415070735311,32.531798750833524,34.666621576703314,34.75861783190123,36.85055068307078,35.49863678493726,36.496814390104866,34.625465746190166,36.60537383858895,33.68070379606802,31.136936731395487,31.928522591540464,31.506393908865018,30.36995776142107,31.87402040851467,28.840484959086503,30.59902989159722,26.816315382349458,24.69874398340859,20.24267047521065,19.371560106494417,15.2692693458271,19.302946985821418,17.740192275492014,20.28312180939576,22.674716612139452,24.308711045505188,26.08560636952432,26.744709874959316,31.49773123796653,28.316333575599963,32.28413233771241,32.75715686606478,29.615399322830804,27.694733474234322,23.610436764061603,22.074621348838516,17.346584090044498,18.166226215598005,15.401107264067361,17.079774998494614,18.67057529396282,21.18484445801287,22.712316418025207,19.286443128101862,16.835018632860237,13.999622802245975,15.173388366647865,14.087367382353035,13.113343829234928,18.27102915527525,19.469614677687012,22.277106804331062,25.736255351780436,29.209567829842616,30.842975256879104,34.735804875106815,35.375613761754884,34.44744772619322,31.58757917020399,27.237434530200073,28.297611565031932,24.914013012374184,22.879690916513372,23.866915705252843,25.353327204992485,28.86163201310419,26.16115859181698,24.288424403283063,26.533984926327097,23.37991319043059,21.40657422224619,19.729141643115113,20.418252932438087,16.866171052827113,19.427559739327872,16.57426475613292,21.35214035029222,19.638808977948827,18.371250466594166,20.16252086786693,18.252517186003857,21.265647397866193,20.88893324897348,23.898047921792184,24.73300433283918,25.411857238988706,26.245064906394337,29.69706923006201,31.986482486990084,31.775280911733596,34.651488305318296,37.31182784803344,35.76948277768573,31.85181685428019,31.517017589423723,28.446083498871495,30.09898113865869,30.19460451781898,29.55426801232193,29.71332147509529,26.442845087836403,31.686395132921465,32.4654331595511,34.076500265300886,34.6448112622004,31.155466033092882,36.40939563118275,39.18669957722894,36.40653176379689,37.849848984432434,35.49998714586373,41.00960101478583,39.745272585414774,41.68762890019018,43.04020192456835,39.57531357942666,40.51409236391782,38.65733827252883,39.25650240537241,40.08341464808115,36.012426659348044,36.7422727023305,34.884098787222825,32.17704663248386,36.06540093800255,33.70164300497763,30.00884621539663,32.74766501644973,35.25854864835498,30.906095055971218,29.740141146383465,33.83719013860301,34.612158925641445,29.392932317193956,31.382298798728502,34.296196623915236,30.87207094438768,29.296960145474753,33.70769106941584,33.486926878258856,38.326486116103396,38.59671406272863,38.0521250776937,41.11459930774158,45.373072625461845,48.8969774899249,50.369297376216124,49.82701607087883,47.96805008487971,49.496324499388415,46.0519549168642,50.08064927605201,50.08045416728041,43.84678043136033,45.50309429699439,49.425695624634436,46.073484208081226,43.0723477768788,45.53125507867359,46.98176133194831,43.05005708179419,40.5163708818301,38.10549514219958,38.58767036873193,41.69333519825268,41.145180760771844,41.64330476770707,43.903729711785836,40.00908479174469,37.77483397303656,40.31596643369592,39.045661620915226,34.42410721355132,35.69627787927054,37.2141988239966,34.70345797205273,33.297298996786566,38.32562553256768,37.979192295894535,33.8751678529578,36.81317370584417,40.720122666610564,40.19017565020752,42.41012868221064,40.77401474792121,44.77120690601381,44.26676251691489,38.82229010878083,41.7005917316858,44.17495321488712,41.4201659448431,39.344458848150424,45.31099366048575,44.99637750779576,39.62916718147453,41.29421748915074,46.395673336397664,44.72689958350918,40.94131596095889,36.430845867304,40.27991579815092,36.392802962465716,38.04279272300557,32.69668098092102,31.939646088034948,27.554626895624843,27.605280347606044,28.376246195103597,31.192187323200788,29.67410919206571,31.55083312199848,26.977731991146204,29.366468040957493,25.016619291584966,25.703337371279808,24.304575483782212,25.880680573441733,22.40571186275864,19.982647871898124,22.31969260554127,20.960349043987247,16.411655740697583,18.209144443474017,20.306350583233005,18.75511975070634,17.3210903140114,18.356166740051002,20.67882208960828],[24.38996239954281,23.137497936683726,21.501904807554855,18.811482794702957,18.843186438466777,13.705192127312573,11.884826431281644,11.152889671001828,6.399100629775206,7.131885942208287,5.922042406674783,7.888673402317767,10.837043482410651,8.92306816044677,11.725799163511368,14.004773043922816,15.212043651691955,19.059140882182945,23.000549629459027,25.330840514502547,28.8633842329885,32.64979476180186,34.122766288781605,34.67766229795553,31.85080582361568,27.60407602101183,25.727416620793207,21.434406739854406,20.000913105844486,18.26556684866372,18.92317742921441,18.600381241771082,20.6618139100727,24.70243388800304,23.82085107149535,23.27794512366836,22.917408945000478,25.50833204944357,26.83546784636078,32.85907163575349,31.366554656525185,30.250918230172616,34.33726855464161,35.48574542621002,38.2419710506946,38.67873892315914,42.49244554701056,40.03442387511984,36.76740845067449,42.25012719866164,43.153316697202264,41.99887241006308,43.282515893803755,37.799758023379674,40.44720299031333,43.44067749607519,40.135777423691906,37.712549326271834,41.986613720131096,43.45651478852124,38.811143978289806,37.948694997777864,34.85487512214301,37.36533110669132,36.206767393540545,32.09802888925855,29.094619613967744,25.079555642812224,23.21667803552793,19.41751614996621,19.823457433776618,21.869867455849363,22.281594922503064,26.48538314974388,24.669618253787746,30.476640221352074,30.258489796306154,31.945788938136285,31.89326241756951,34.036340038902196,32.24319143033483,33.40964931562712,31.060653523268588,33.366085248594665,30.831391105495943,28.019882786968374,29.16137448638088,28.115892501616134,27.63628217259317,28.685132009936403,26.11371908700935,28.147111285818898,24.228679310325923,21.629169103687843,17.122145814294417,16.501527609243986,12.388208876693142,15.316259419480401,13.272844595648227,15.397672009617043,18.13686200152211,19.62103404354236,21.80253540212457,22.522502777419398,27.693020068881587,24.752652454214036,28.727647627687258,29.692555404836487,26.793160289470276,24.34284182820383,20.65571250589927,19.24271382125415,14.618871960408054,16.216171391841225,13.60265757841092,16.273607597449796,17.782380799004592,21.146177042387748,22.625621716526783,18.508556358667935,16.821133232210414,13.699080960883132,15.68837462214654,13.974108645262893,12.373718269326567,17.23238618539759,17.699677975278078,20.26018795185083,23.466960161633637,26.478841241215843,28.845877965230663,32.32627571415288,33.18891656618668,31.66939819127948,29.53627466602924,25.322482436253924,27.119647486867056,24.088568523142353,22.650081137880928,23.005073966958438,25.43339217744787,28.66609779736899,25.54024869717659,23.313661730689798,25.01249556157151,21.30942820794813,19.546649059712795,17.03117523208167,17.267580102416616,13.374298582228436,15.539685923611167,12.120582371827181,16.71360775981969,15.12193476278527,13.481023007503586,15.286617471460334,13.645481711765292,16.884528153419765,16.84724271428448,20.264450836663308,21.96881630414185,22.643749743426397,24.429494761781022,27.411438296716764,30.086447397275453,30.72300082986255,33.242661767763025,36.36151633158256,34.87286156271936,31.117079445964198,30.276530470092084,27.0719603525506,27.968949021324654,27.553280805333376,26.487081279993404,26.10979209885357,22.776111729687425,27.72375275018645,29.041394076111384,30.518219049071448,31.702803762879082,28.01960432136341,33.53325091948645,36.55766622655151,34.029986933711186,35.50005356993444,33.31272608174104,38.94793183451111,38.356640974432985,39.97659400850673,41.468101256878526,37.733357079931075,38.73541887215054,36.85511395852124,37.38525668940233,38.34127724644314,34.53418138207024,34.89329479339667,33.20636533783469,29.992881171588436,33.858422433341005,31.049599493770852,27.639119346607814,30.941781780487954,33.060153210652345,28.619604351821597,28.38395069314019,32.230756738878284,32.360381577471934,27.648958887270783,30.09465068836752,32.73061169267058,29.10987321839663,28.3482971909681,32.826780718366386,32.74775989374501,37.18003683637685,38.03704135065491,36.952666339664944,39.744304772782,43.87370274090069,47.405630979736515,48.72604509257304,47.716425083958704,45.77511776607545,47.02345979850203,43.37653041707743,47.53109242754951,47.893380613974095,41.73724531856683,43.1528644472936,47.4118862575339,44.37158148903979,41.23963226566113,43.65997817098722,45.62166811091596,41.85524493510481,39.07470614494662,36.46467029252496,36.244163211649365,39.20633789565507,38.45526301798715,38.52462539254743,40.54674637890978,36.47720155003529,34.678246888633765,37.16788340348033,35.48983852512897,31.05574752078223,32.76063507970393,34.009472035691914,31.429515392972128,30.517171847175955,35.54532128868223,35.04369364192719,31.204985870384885,34.51093213915257,38.29317500936112,37.965017779249564,39.90997143417598,38.12120984064697,42.24812122186627,42.10156334954836,36.813248359211904,39.529698295317644,42.362272026259674,39.84490499943808,37.75377118814105,43.726744830275514,43.849121560099924,38.662465488187856,40.158353388602606,45.39548216764084,44.121340803461905,40.48827386548418,36.12281491647506,40.4028721356679,36.79030508095375,38.057129215290935,32.77400866835531,31.35368382887236,26.814539166085545,27.690839168528797,28.390936254362543,31.413165090318216,29.61208739152184,30.779350533928294,25.825396072611007,27.695107876049942,23.297099079434474,23.66163111336167,21.583241413655333,23.150642157135998,19.11485885512559,17.57730960940271,20.34178845019575,18.34629090537795,13.779908412843447,16.975189351842108,18.83611395261314,16.600714541470197,14.485956951044086,14.874378488743428,17.1412168643647],[27.951578881269402,27.091641372066817,26.021462023484936,23.090756865090412,23.776159559850566,18.536709933661793,17.02678233723875,16.199444195333516,11.533048243138513,11.688740105752872,9.337677059712151,10.891855005236074,14.350999732710342,11.726965817041554,13.161639061396974,16.073574939952184,17.815430209869234,20.787558749114154,24.49508846994509,27.246886179647294,30.39857226355962,34.46317797900226,35.66139796419491,36.466604507272386,34.03927657649605,29.70155685931781,28.39261325059128,24.24894370170169,22.559398138210287,21.01080054936283,19.94442134219543,20.613753751630973,21.72068916608641,25.503115908523835,25.46985704747106,25.169572143126,25.55916562057564,28.249663535986826,29.963844217096085,36.10443723311059,34.53776103543502,32.74541536729564,36.74671503599779,38.30106697494056,40.998589262064584,41.78901606046733,45.50851924074476,42.971424013996184,40.13576169448156,45.77156032510272,46.46366132685226,45.38987735617991,46.361138215756746,40.8889007013502,43.29289963708063,46.009612886764316,42.61165191063275,39.97797754700392,44.042885786493876,45.51660297238835,40.623720227650274,39.20061960957551,35.848066719046884,38.143114853089614,37.523246429953645,33.584649469681544,30.00804435346893,26.00962802073298,23.783781403373247,19.634129911975272,19.860955299897967,21.00758059177311,21.634591866203206,26.23352003148544,24.809435750170017,30.33092783052231,31.04007181971292,32.506223157372396,33.13781178533182,35.75952713772816,34.490449417622855,36.204684684972435,34.185290981605434,36.90480007504189,34.39579107992228,31.23080472312155,31.7449869898164,30.477243928632955,29.378817939940138,29.75113412030111,26.72954814548004,27.90094776528821,23.92442877642476,21.507173399733297,17.490069755800096,15.761844414032334,12.256686556805516,16.283476167203844,15.17342292994927,17.405134448117437,20.65454030587739,23.068264351635833,25.217852548934122,26.676270148532776,32.07450512291227,29.492983972519173,33.53404593090678,34.70068634434374,31.903303320233533,29.30458958503526,25.759467593862254,24.276620159006583,19.69603626500416,21.01737114880689,17.796488315667887,20.179539553765263,20.968002498136975,24.107814359243644,24.61299182188747,20.53236824177988,18.87051528738761,16.371811120209014,18.889320752824364,17.948182097766715,17.02302116857095,22.06019364563542,22.8622276872131,25.38812901939253,28.620643308236424,31.498532099309397,33.979886363220146,37.446672295966074,38.20658975452752,36.568134595984446,34.46993363608531,30.21061173706422,32.08278739348303,28.76508512078711,26.982539960154096,27.253294427969315,29.047481434498266,31.999569700594193,28.716659902999233,26.935603068811865,28.552988907862346,24.794102825501795,23.41443793748152,21.150218361506116,21.80985583616879,18.120068632724383,20.302360950727266,16.43818947852615,20.46638807748607,17.921245086618267,15.971073950996953,18.46021390603878,17.280113193583375,21.033215177960365,20.701568056786062,24.793120312783522,26.486554197653813,26.515763867033574,28.521201109095827,31.286936667438546,34.316842336401905,34.9502225997699,37.77125076365613,40.80615218092962,39.532772222444756,35.67135028555788,34.99029488198068,31.647188732228095,32.48720784573838,31.930238176741867,30.606205656616204,30.16832243441872,26.42445571592918,31.217330708060025,32.76460644275403,34.496003522045605,35.902701499240216,32.60236218886027,38.16475443557688,41.17777450469235,38.59823194509616,39.64326475336609,37.109303812569074,42.80179455533028,42.12629043181788,44.102199705257014,45.80014880611423,42.166619889070134,43.43515133227246,41.709950617796686,42.36054358357186,43.41844146024304,39.62169178740792,40.057246941486106,38.37092026615536,35.16412992624327,38.971288053374856,36.08214256156316,32.72619399559643,35.9669474035229,37.97960047655217,33.44654062167536,33.19764230388884,36.96074360849818,36.92167179745076,32.08904728403558,34.447468660412426,36.94151617844925,33.12025525311287,32.27100931369875,36.7057257842056,36.8842179517444,41.25020913793187,42.397627341768825,41.48699076352692,44.19480167223479,48.49554051487284,51.864449612426284,53.40884656826483,52.46102779294633,50.65544622640843,51.94963440360308,48.345409697111265,52.56761657614846,52.92164384952636,46.798314856640246,48.2633692323465,52.545439255362865,49.48132876776093,46.38882307455199,48.83003399898067,50.74635344046484,46.94153247504439,44.21972027298975,41.60621054667566,41.403895559576796,44.337778744404744,43.49293223551749,43.470844657625044,45.31167906010519,41.227523126783005,39.61755207417491,41.90970714467402,40.041137956188436,35.76863339560191,37.47567309855711,38.40946937108583,35.68412501369777,34.93298848070832,39.873682347576334,39.0692813178818,35.1211517822617,38.62380327773769,42.409462916623376,42.31932852947273,44.42283986601708,42.823875683838224,47.0206248714917,46.726709512555274,41.53273092445496,44.43185763440861,47.1906705270098,44.60030183535916,42.70142944263039,48.68864977598009,48.65296673118617,43.48320259232419,45.14734553428354,50.32376626012547,48.87877235513867,45.22873309543282,40.77228259094061,44.89613291003132,41.09807633499406,42.34082374113252,36.99329932636963,35.85530371924899,31.201382089247964,31.848442824128487,32.809938570446135,35.86564559654358,34.28350342766043,35.68087396828019,30.84245616796654,32.84494041415047,28.462479396792055,28.643073699153693,26.506324515270908,27.79467115234906,23.560910251762632,22.384272424265838,24.644196807555414,22.28705028333309,18.3550272625658,21.134367807805216,22.30099123555423,19.610061462357674,17.86369926788962,17.91750725759094,19.729975623432836],[27.303877738339473,26.64196091210329,26.08454768629665,22.704758507367163,24.237933031641003,19.07328798386783,18.120887967995063,17.9983038951175,13.33022923883881,13.752996639408675,12.042422897684764,14.044921465145588,17.11977397247001,14.012879691979954,16.070908176131287,19.095696909215103,20.312767715334772,23.30395028471338,26.55749415623274,29.64255814706243,32.593196098656506,36.77619775913808,37.71096796839257,38.27612389055976,36.040013239664596,31.60592395147014,30.508865890960088,26.41058376870039,25.14888337689113,23.9387859037983,22.98402743633443,23.9034944297989,25.11356697372031,28.787146168952777,28.70292072885944,28.156169948412238,28.657640149969748,30.973323190423717,32.4820760056469,38.70821680865565,36.78970707462996,35.11883217796235,39.248754803963685,40.68060283162782,43.16499835676157,43.798305055086004,47.60859722390754,45.310821298623424,42.386249229127415,47.987317814012506,48.925603477005765,47.96355921248735,49.08333790737848,43.601297588859865,46.19894886067349,48.828785000600796,45.29947063962445,42.84421321051279,46.96261525995981,48.23042841424286,43.28347003107456,41.950145656111,38.67568727607915,40.68846551373247,40.0324246619732,36.220641184265915,32.33005093347176,28.531092517131295,25.85221145718453,21.88694408698265,21.663228685965027,22.531531108896285,23.7381652583847,28.35505779071314,27.410692031136982,33.021793382237874,33.863959467877926,35.5297883669623,36.19596716143384,38.76259673864166,37.61136659791237,39.18013765077816,37.26673426559737,39.78002982947211,37.10081794471826,34.12164493865544,34.61305367721431,33.62369235229095,32.3385771128522,32.943379741149215,29.760743059651205,30.814526403086877,26.905874770728243,24.68397665103265,20.69872884659302,18.891017270135094,15.425905355888935,19.71342705488479,18.58287830772979,20.6746422946704,24.009032785648177,26.152455702199372,28.36539310169149,29.510497834186804,34.774890881564524,31.892223921422385,35.8344824202825,36.72135877288136,33.650552258539,31.356159024791182,27.498114986694862,26.2224465787829,21.532673797107982,22.73256312299808,19.700569719899526,21.67440102019077,22.729069044069618,25.428852617168033,26.148335977775826,22.46063207121,20.35747843536791,17.905579400897675,19.806074211426118,18.987561110013587,18.077482424946886,23.21717700531065,24.01083148847958,26.856344363267958,30.177850850795398,33.44525568826961,35.45317056525164,39.14031852774762,39.944970530932544,38.66371603425444,36.20842811846099,31.897206549497316,33.24477367303104,29.924639946469373,27.940032118111453,28.670915032239524,30.108438476448402,33.32721152212485,30.34536540596721,28.647330732917318,30.59817823300865,27.120293137382497,25.515237700875044,23.543841690254965,24.209504810482986,20.471507664503505,22.62841541413718,18.912050952444584,23.06210173432227,20.218405627177148,18.839899445323756,21.48251897764653,20.307412227998388,23.83567165783071,23.641273043917874,27.356953414811343,28.780397882977322,29.063266939680812,30.54934473115908,33.63537851847343,36.35725857984149,36.51241521326321,39.41344656696848,42.21027747313001,40.77311279591288,36.864104949914605,36.41588669024519,33.22900138509871,34.51557940810635,34.26192799251101,33.212036193244934,32.97635440603371,29.374055480443438,34.30941652755318,35.641482682975976,37.33611261395136,38.44703625022229,35.02991544606664,40.486941398831014,43.41305367461026,40.741011267736475,41.957636152681175,39.45183683675521,45.07590118523835,44.061104230933935,46.102210628823805,47.64303092321092,44.10957002338407,45.20719650882964,43.38997342709121,43.97905999098215,44.846798270566254,40.85095863737462,41.37148722392241,39.44006820669676,36.485998343164816,40.17689130564543,37.48501147468761,33.97478553605728,36.82007255969662,38.96411970929335,34.41114991654348,33.649746620843686,37.47338079588872,37.720934388566135,32.52999733318295,34.599234941129815,37.17860806665439,33.40634497857714,32.0833967262934,36.449585830784166,36.661177926597254,41.193973182903704,42.188409546514485,41.62181983766795,44.420013558754825,48.87751555198168,52.16570481985297,53.90815305490849,53.280648387437154,51.622714051591075,53.153965531577846,49.74242187506798,53.96132860246984,54.02876603401546,47.88356487764388,49.601831127497384,53.70395302060235,50.41043479596972,47.46775690571967,50.04832872614768,51.596182174764735,47.641013428527245,45.24252674669101,42.57090253486676,42.884406011812935,45.84937988175618,44.97337121122798,45.254169395507326,47.13695499846347,43.22784054853498,41.33597033098135,43.48968324717026,41.870349427632014,37.49994581664624,38.839974035145275,39.83134062344144,37.09694977715637,36.025761801714516,40.939410845954164,40.145752052548424,35.96944419254376,39.277899413637904,43.14929459579231,43.01218861899343,45.37209999625932,43.97940313686297,48.13420430222275,47.5087380678493,42.26713480306868,45.39454065383887,47.88191971335733,45.10862442799675,43.368801189121704,49.36637143821509,48.979836024873634,43.75510497986094,45.65942076812702,50.70488289266166,48.95060766970946,45.2488857535919,40.68101021948123,44.54681299685806,40.54526510829628,41.86784927828834,36.480244360359315,35.761604746227675,31.125900382629627,31.330063858653084,32.47853739049561,35.49738282655656,34.20143997811723,35.999949222681735,31.4377161802728,33.84586707867308,29.553607484898187,29.57093936268023,27.80092927933847,28.932980888951402,25.00117544074117,23.386086598871856,25.17508927084095,23.10042114506934,19.370170538857526,21.244800279784723,22.30751978463478,19.95891970886854,18.72930109431142,19.236065759868573,21.08491045385194],[22.808309874817674,22.37097939307945,22.126532044895818,19.327610254880625,21.284740790411266,15.642333068264776,15.557478422753821,15.311666669367039,11.222632483239392,13.360516759587098,12.493856931149379,13.730199200393352,17.393099018210755,15.29057824774769,17.91219405324862,20.405075544954514,21.702604596556682,25.375031080048565,29.043221785562835,31.687283621565147,35.03182832879045,38.968026769179154,40.22526482181209,40.673515147625565,38.05697930386592,33.71106683503703,32.05988091366761,27.801039226363464,26.53440525465312,24.81767659175731,24.99643361475947,24.761899242304803,26.308934867062472,30.464368901009767,30.01019400929893,29.69850580736056,29.37199123208466,32.091263680179004,33.38016437857857,39.40423561481173,37.795059670134165,36.717100554260085,40.84828257267157,41.97432756048712,44.61458439289246,44.93780361236569,48.80969260080667,46.49710264995412,43.15541801564003,48.57615797698452,49.6192120962821,48.473390471845114,49.82522780525642,44.35152289376237,46.99390712893831,50.002929598405316,46.69488141314885,44.25046796966727,48.47979576813185,49.95893327582075,45.25591677711734,44.23069327883712,41.02555557717846,43.42980224686913,42.46713906868808,38.435019557910984,35.11201656898812,31.15242486961523,28.92005893800007,25.0071324016941,25.0722242830876,26.476037421401564,27.355892555387697,31.83341944377086,30.370693332995607,36.030895302132905,36.321136651468976,37.837016574576886,38.09582649497457,40.429669116761254,38.671886256773035,39.94108390769717,37.43874230604933,39.77069473608845,37.30698908052342,34.5425029436012,35.7301913226324,34.52660672327427,34.03618006219618,34.70488072478251,32.020413486742406,33.56714934720032,29.560304107833755,26.910601769159875,22.7200500405428,21.336467070806744,17.67088114919172,20.763707804705422,18.76098594702433,19.7150235499074,23.72283236893931,24.690587302925188,27.667229745408026,27.873907693285354,33.22341203378323,29.89952580580349,33.439735874633826,34.27244492483377,30.8776100267573,28.68980852201772,24.690472011115375,24.28272211081223,19.698941505900788,21.709856569809496,19.68910019632705,22.005774528348553,23.850279409012344,26.772261268669293,28.372905956163414,24.563589315350793,22.481922376217987,19.480386888768308,20.783873251073313,19.10735590048843,17.181493998664234,21.9674419859699,21.495072580664264,24.786050928696458,27.847471438809144,31.41522530865573,33.20723179808634,36.77096399661866,38.08478342500405,36.88263724160457,34.661694034333564,30.529284826985855,31.550229843636398,28.931846341937703,27.474134746698777,28.493954873548017,30.688220412469835,34.29202606174296,31.493326267289458,29.30290714777742,31.28490892443405,27.763417802595818,25.8151284457671,23.365460881145506,23.249476643458113,19.083749634898748,20.364896566243775,16.49618606514355,20.395406890640682,17.0729830600387,16.80146830459921,19.771662912864954,19.13019228185998,22.126754184410572,22.90402881696235,25.93960832413659,27.93812314160731,29.053883178817735,30.547943296998355,33.75802335741078,36.11042594866517,36.34771573309802,38.741010782022904,41.652879805958705,39.78551854919473,36.08136544246669,35.39320224446096,32.511196694151636,33.80354391033375,33.603780288649595,32.71043953107863,32.18058295921057,29.06117623613794,33.80657979348116,35.34912113309894,36.619264054820064,37.84770388891299,33.75759424276158,39.21630043830147,42.266928756395274,39.81705687006483,41.672309545071016,39.661999846074394,45.23057007071394,44.46406765141994,45.99068350918682,47.24726534515831,43.52917280523647,44.15658548334836,42.011676230686284,42.267711657436664,42.779685175999504,38.713495830628034,38.82389628129996,36.52122290860009,33.47884222812544,36.771577389615125,33.960915169264574,30.531580349421684,33.172929068804265,35.04543490528795,30.381488886557833,29.73718725056634,33.32009401207223,33.34571102157541,28.091470038774382,30.145863953697962,32.549073906721425,28.670809559757576,27.443406881155724,31.776951100318747,32.19694482539865,36.537216730520804,37.96796861639196,37.34755765407125,39.96959712580502,44.54498849054243,47.70048166644663,49.61124420283385,49.028286637044665,47.5768881095216,49.248255117602575,46.02964728060421,50.38649568222521,50.29167413809456,44.24774071264837,46.21903041820058,50.35287259719143,46.99270758143697,44.24382922529091,47.10955170508941,48.52345103670836,44.47548587605185,42.53612530990968,39.40138407177685,39.959898937764514,42.742973483299046,41.4892744316208,41.9157125868261,43.55631749827327,39.89409558900863,37.91617949094417,39.63909748499215,38.11238303357998,33.80447671201859,34.82059709096079,35.61757663708328,32.825736831386585,31.650807170240558,36.473378465790496,35.57034928007363,31.282169290296515,34.584855321747575,38.462407553092405,38.43776403558099,40.95419874335731,39.80368521077862,43.99796130933612,43.14130028186884,38.0236615325005,41.40709956588867,43.770729971629265,40.94399964371495,39.53904873061423,45.53600329090824,45.007626174518684,39.942600172464495,42.13540005606608,47.06552561438736,45.224574435911975,41.64682835001509,37.06289962303439,41.03216983166377,37.025632753601776,37.93744055623171,32.55885965534853,31.73986486510154,26.945056298602665,27.40445315154396,28.83090053820559,32.0863332718888,30.999819464269688,32.63058288062393,28.205497438939357,30.830015539237674,26.79191980094058,25.875791482120974,24.10808517379556,24.814518717167832,20.99262815241834,19.51468738131591,20.707340767786107,18.522886739028007,15.367805738573745,16.85442766764912,17.4519861102643,15.0646440869709,14.13111586935973,14.965444509590862,16.90806432602365],[24.998326210157238,25.095065992996958,25.398774787160296,23.084991369287085,25.365636744972935,19.495854773432992,19.735235258830137,18.90343660169771,15.125308755379892,17.471145861655184,16.02353399196534,16.438507501451483,20.90755741542622,19.07371618157391,20.84647422905619,23.379469076865643,25.318131577457617,28.678184662068908,32.534539302706484,35.13444616375574,38.444630185412535,42.41923961212126,43.7197883550425,44.415250490522965,41.86432842999974,37.534382326337706,35.96476052837137,31.715723786958694,30.06377068214404,28.05370748315253,27.4888619330783,27.227746543256693,28.09590427006648,32.31838721944277,32.41700573790412,32.585146419154334,32.32454979014464,35.54356250450041,37.12345455550378,43.094008171600684,41.76108220264697,40.395811643733985,44.394159432055865,45.75127926801685,48.52350347995657,49.04290427931068,52.83433625091996,50.3379317904232,47.16467666276714,52.63650270470891,53.44498372299418,52.20151244394001,53.343379569893195,47.888384455092215,50.23924303315372,53.274826682780805,50.08604426766817,47.37091174671825,51.43875699187322,53.153094259312034,48.40542136982149,47.00908831268599,43.58896757482427,46.139985172846174,45.51587787360961,41.473055707583484,38.12700148440076,34.049472455023036,31.96067483532469,27.792786182886452,28.01497141254631,28.990219964534795,29.676343734355132,34.326553012643,32.755312862957815,38.04358289608677,38.800384268849676,39.90007465244532,40.52425606983547,43.16333242210229,41.44790094802054,43.09198695177416,40.45242208674896,43.14545434474593,40.92416725649454,37.89111826208909,38.97662973284445,37.30994048480024,36.86923404842702,36.844572220332466,34.186059428060744,35.26140689887059,31.196354742258386,28.418573769978817,24.66542476848306,22.697040616660793,19.635905408467877,22.5218109386344,20.74776695022511,20.98348589501884,25.818246259406674,26.90693221120566,30.33795354582946,30.72760778034812,36.417764686554996,33.279980871143714,36.6641303281322,37.801241247221625,34.43732915532174,32.02023080488982,28.246350656860887,28.184427941467796,23.732427774980906,26.038473862867097,23.963542830926276,26.4629125880853,28.064664866111322,31.116204589993018,32.32004094805417,28.343277317078183,26.464260455383045,23.631060244095735,25.283460979540592,23.705599613527415,21.778227698735005,26.49594118861705,25.628390903114447,28.953792073991774,31.835666227947918,35.26706294835889,37.27076241891664,40.62746441794062,42.15854191054285,40.71879057240656,38.85292217194279,34.80462473421404,35.956885875545694,33.49332399844903,32.12686733735224,33.029146354433436,35.27258104600768,38.753045382126984,35.794458527614175,33.655902638805046,35.452345407854885,31.72145123954056,29.975938923568993,27.298384131236233,27.06650895145754,22.804959549334516,23.62790933968266,19.242273724154987,22.353454568746784,18.010566183733008,17.99405733997687,21.659913156022295,21.76766098893575,24.953271297054293,26.0284736928302,29.40551987483736,31.891605506968634,32.851465736282314,34.78314814161008,37.75182911845609,40.340325955248396,40.8388232944958,43.16689482194748,46.18691856057487,44.319748329702406,40.65861748346257,39.86131423857477,36.95714926464342,37.99754268918002,37.56086583310311,36.4036835863333,35.52931524281033,32.28742079706657,36.6996415630483,38.699885967506056,39.938953454748074,41.59657676607187,37.461422324234654,43.0347907392923,46.20678488105156,43.890442858936524,45.691689644591364,43.66197676893787,49.29362450611927,48.750680138641705,50.25774353619911,51.596908832289884,47.800934001988736,48.45401559296057,46.280650350843004,46.46248054818531,46.92679139046037,42.91848036700321,42.79030803931896,40.367475557241,37.156642137911085,40.15944186989863,37.09800172173024,33.88992216569083,36.51349148381488,37.99293347203353,33.21913315290883,32.93231895307978,36.161183644424916,35.68233344443284,30.54330372718969,32.596654899747186,34.60278730694013,30.471306455762292,29.511042840476875,33.67884286020824,34.539766227109936,38.47422865023573,40.63752581650287,40.01375029108951,42.32159662057633,47.05985356446974,49.918432326052766,52.1160722763272,51.490915923191935,50.292068203067416,51.997268098179404,48.892925770134674,53.412220631902485,53.32430249322689,47.43179122983724,49.50884935705544,53.7639617090917,50.45144401762498,47.823595411833864,50.83718594730207,52.277222216344725,48.211379671526345,46.50695328372957,43.089548987502056,43.578576733537695,46.18143912477614,44.576766969359674,44.85895030224589,46.09499305528581,42.530314583930554,40.84331605867214,42.09460982925514,40.31083249406395,36.31085660025924,37.27437650247917,37.53304160175603,34.572557258760945,33.69212254852508,38.28663428597409,36.94736718299342,32.63847896224486,36.21081909581938,39.991046200031036,40.36374659733536,43.02613375468636,42.18547628656991,46.47556245481,45.44465589110111,40.60792226487813,44.23768633244424,46.54196880474967,43.71043572258035,42.70018813630489,48.65925120359558,48.02323398984649,43.16933150005659,45.61666658272705,50.42342272003783,48.48936267278453,45.04185157277427,40.452957486459724,44.39645053191523,40.32780137449462,40.864322225865244,35.53483755978938,34.76722373443217,29.836788268440706,30.43982678414532,32.2131477927693,35.618446487267775,34.782667951677304,36.316876214067285,32.011918688425894,34.66468109460543,30.780774332415398,29.192809698901854,27.18635806914277,27.39397289525945,23.36033669020815,22.647145190848136,23.16848113726387,20.43272810899244,18.35946112885735,19.688300173662174,19.17967349606825,16.167509088097045,15.656829441727178,15.972764858766798,17.28848002189474],[23.99128201077763,24.647242621626486,25.46349243523358,24.232290901465124,26.7071753308998,20.64861748684838,21.60064343555461,20.20090313639492,17.41676917566962,20.71225697442522,19.48855764399582,18.894495119496767,23.937974964625706,23.003965302412418,24.54627630050309,26.646635649329124,28.992913882256733,32.549428977625496,36.79850148501586,38.98910842688642,42.55506674956226,46.322352108241546,47.92000030906662,48.718072503495506,45.91415788687419,41.70715025592062,39.77903161515702,35.476692313622806,33.562443637991244,31.031789929259087,30.83150226317022,29.7099081656486,30.37634209711143,34.89345517283747,35.05054913500435,35.7086844664975,34.87320666565583,38.68513762399992,40.292494563159494,45.98404514339444,45.13362383657901,44.01375063723826,47.86905091375701,49.15297557953434,52.139585532741755,52.578789478848655,56.32000569561589,53.6671076458644,50.334119034436036,55.66258817599574,56.3417287585319,54.88429495627811,56.03071096272042,50.64688793644915,52.787347937758064,56.118881934430064,53.22707844528781,50.344223117130596,54.34635930504821,56.39476686431901,51.85135164178492,50.45736316910037,46.98012863662366,49.939309223759786,49.297683869826805,45.09971462417561,42.2343821215668,37.988492313078645,36.37444259028079,32.130053516773074,32.678116880940365,33.81997853870671,34.10406804058292,38.70071333379444,36.65474015362382,41.68860960142951,42.27641180640214,42.973278609332816,43.49340507243598,46.11721971209174,43.96884416022278,45.62266185819662,42.46449661063467,45.24665037893872,43.41080350462747,40.386033900865336,41.913039390662064,39.77967634570514,40.00051669408267,39.57214219707432,37.373835598988876,38.542849577240105,34.44009534107589,31.321500169310266,27.78188066685935,25.882833775483526,23.133866044298898,24.91168072018496,22.742666657539875,21.610630565694763,27.252426903557726,27.47102831185273,31.681964399654174,31.492648033675707,37.350504084206314,34.13533068454951,37.01309350857307,38.36249713329387,34.90637539493379,32.40969106140967,28.890796999731418,29.7053292912219,25.63546025722349,28.627143496636837,27.235954844654348,30.05639399393486,31.947290799058138,35.24377131173388,36.75238331846515,32.58511546076311,30.91926356816138,27.881509179182427,29.430778160975642,27.399684194161026,24.90690531891481,29.147796775720852,27.153675664543314,30.630812773435537,33.078612476930076,36.46691602392944,38.5116494814412,41.504430656212286,43.54994617067437,41.951951864406176,40.62577220254313,36.86253207299055,37.95264085577688,36.15561700794488,35.288524299394346,36.201284574686774,39.0330056408435,42.61131759545992,39.655603868206114,37.22359569743863,38.84094042460213,34.96871492294633,33.18457899985502,30.063844738817018,29.21202464240618,24.781455640091057,24.591608149424662,19.991992870525525,22.034359144256864,16.807768412154367,17.942823801576743,22.086434896879215,23.139990673984922,25.889743215042685,27.84155576126252,30.8621662470444,34.07681315143819,35.474853170313864,37.741181240312635,40.53423783381456,43.02145776886099,43.84189317830007,45.70510484167445,48.89787575279,46.77093012140145,43.35078599634614,42.26492141691647,39.58390492776667,40.352738040964894,39.74824074414017,38.506786595581225,37.16220366713155,34.266642245403744,38.17713485897174,40.6414759441021,41.513642564265545,43.57655288202597,38.99493079832995,44.565416845815356,47.88846182830886,45.88686161269632,48.07917971436105,46.429719454673,52.01178468413396,51.87601723556088,52.95665248521628,54.15662177297729,50.18470264384185,50.52639733330766,48.130252320827076,48.01589627112347,48.209054494604125,44.295045798228685,43.656929898454436,40.959163991707534,37.55760886381742,39.98415725696695,36.64761653300714,33.79875380159157,36.27840832044678,37.154457426978574,32.32371559386391,32.575619032543656,35.2187782253847,34.06444158643739,29.214495081668137,31.285791477610175,32.72711882257705,28.375647538437544,27.926366817888386,31.83072633134325,33.20685762095759,36.49808430696255,39.640602616064726,38.865971193705114,40.70177282445761,45.55080407960223,48.052435129582356,50.53350271937951,49.82305793199835,48.96955088359004,50.73255592491858,47.86576921407857,52.570494768063206,52.43185276229176,46.81999968191087,49.09043309012455,53.46022251638455,50.23050500320008,47.84612036989895,51.12374041324579,52.55663136693953,48.49660060946159,47.26852471777164,43.341878736594445,43.83433554443623,46.105323961243805,43.95509794932872,44.167869625380646,44.85630603438454,41.59470630991439,40.15874648470399,40.684646581901376,38.74748881650625,35.157052003114245,35.868620493361895,35.49557387990366,32.409456176076176,31.791842709257335,36.022724216359734,34.23758537130698,29.963779231171106,33.747700085133,37.358819298267164,38.171607719825644,40.97272896377844,40.5480269680836,44.895733771482455,43.636928236218644,39.22364654651787,43.138832018753746,45.33640760778104,42.55350419170391,42.10197710350311,47.93752221846573,47.21575452963694,42.74637639136669,45.51288102329371,50.10409460262712,48.148436980357936,44.966942516568444,40.4749815707246,44.49666671705244,40.51600578726928,40.39615842427958,35.2398182613262,34.30822139267281,29.278029227958232,30.33489227646407,32.48253792943479,36.108387002492755,35.55443983227453,36.726056780530676,32.65538685624236,35.31758878422659,31.83445114552648,29.09910724245414,26.892966007361245,26.363615093069875,22.369566772976615,22.555166052078086,22.10516948386131,18.862994450176515,18.3640344017595,19.3777116913578,17.532675405681143,13.994915616409337,14.109533864511329,14.080196459484695,14.731501687311528],[24.486090225937975,25.399227381304506,26.84090042732135,24.964772331138,28.32905084733516,22.560515828748624,23.849260622795263,23.265916214670487,20.181680899477183,23.18410537193425,22.1660437897394,22.347566121706222,26.928522312395703,25.267835010294434,27.2526818333151,29.682899557615873,31.567271128731914,35.07077304677503,38.88143611819526,41.4986942348249,44.829092463862835,48.793534261617324,50.07474196941517,50.653901673003624,48.09631867252059,43.75015192652274,42.11911644147775,37.84851210277407,36.320151608413056,34.213702256568666,33.868611396509245,33.30943906103664,34.09488241120612,38.441791223604916,38.587333080008555,38.89444178192356,38.384331193397834,41.72837016477804,43.189125029505085,49.07996032215392,47.771362052693945,46.64367745179373,50.670599850014504,51.895664300320135,54.64179569688193,54.97953167388138,58.82240359072154,56.420325098515534,53.05901266825729,58.41736723256264,59.35503013989189,58.05446425670169,59.32488454017819,53.89189199102599,56.26423789520856,59.432880876644695,56.320252212516024,53.616292990960666,57.69448134167652,59.474788625956556,54.78579365631267,53.42636197515455,49.994041695151424,52.5925593872537,51.95757419082618,47.89808589337086,44.57386910194452,40.50652068545847,38.36308381481907,34.22321055727056,34.345237022388744,35.1876339684172,36.02794434136443,40.706776253506554,39.18835711277841,44.3960591121325,45.21203939724045,46.19243544287357,46.823831396140726,49.455409492975285,47.56053996454468,49.12712971065543,46.22338144964255,48.829208290481475,46.71924552176901,43.81699404354836,45.15996388136211,43.38553307353964,43.19739090668435,43.050278739582424,40.51717577899216,41.51523488886373,37.440231952991354,34.575954657341654,30.95404904019426,28.893082440482203,26.004234437322815,28.550911627672697,26.576855623579856,25.98612855603161,31.34435868831666,31.733514834281973,35.69581442210587,35.47761059045337,41.155702282458634,37.70713946156265,40.625989548285574,41.63553696368097,37.952339423152445,35.80290654613783,31.948112061580307,32.68903147434609,28.43617618259552,31.079133070498433,29.589435118696898,31.991079903443897,33.97083378111139,36.8530235303438,38.40200123962977,34.57170611864651,32.517559740832674,29.594484353289104,30.746829778027234,28.971879368730875,26.69410250403429,31.105182093836355,29.428298087022622,33.126301320342655,35.75294567407639,39.50644725539092,41.06018090789574,44.348281899631516,46.304708150737014,45.10468059781424,43.29271513086616,39.416909697397806,40.010254316090304,38.058032350135186,36.879103417967144,38.19338537265718,40.530230252457095,44.30446587278825,41.60097627592134,39.33503403807474,41.28469712410287,37.66315405576568,35.71828773702173,32.9716719441413,32.35984556154768,27.965025807320995,28.133824332872823,23.80425451516124,26.295532444396844,21.287393071350653,22.405659921084943,26.395905169574306,27.0542655185057,29.81075054253603,31.514270683501056,34.38796790875779,37.129432626779526,38.5757855531182,40.31760192524001,43.44138555595471,45.70546903614812,45.99909253244095,48.06417341688499,50.97597366052098,48.75551746543151,45.24118480525074,44.45899403017013,41.87313901372434,43.124153828239336,42.837288204468436,41.8505607195256,40.82815044929074,37.9059442439759,42.12062312453964,44.26483969735819,45.23456261388833,46.92179682019548,42.37307268235267,47.84605885818028,51.04395418905931,48.867559636036944,51.10264359383719,49.354195827400225,54.90611910737159,54.340663884150366,55.60774384566867,56.697266983032904,52.87012926764297,53.12842020242517,50.70013638721087,50.59481385159854,50.649556516807124,46.521437119556694,46.08814139533315,43.19565123024472,40.144429212871295,42.53284975737099,39.51259526680911,36.4519128380565,38.46743237983027,39.59328547172793,34.822596790154485,34.350189444983435,37.11003630898556,36.44071463861704,31.175861267418046,32.80791982211077,34.398934987861594,30.231473834970565,29.057011563970537,32.79662988102991,34.16453151647863,37.69508704353423,40.501048731797475,40.22767031010871,42.21252586389996,47.21098770489094,49.61364165786311,52.31452936509712,52.04178684737271,51.33738521214915,53.37324872851894,50.72283274554466,55.35985345023254,54.88430486066629,49.24299078593008,51.763814031808266,55.873297740727715,52.37604381982936,50.14565739953014,53.517660661698514,54.5110794857206,50.29606790434933,49.37261837052855,45.50164654949522,46.575267943508535,48.932427634781924,46.86921593571916,47.437127440412766,48.27349519473075,45.17609699861225,43.389078077037055,43.89349391738822,42.29675780411507,38.55864238032312,38.88394724431745,38.69835615387745,35.679033884371115,34.630135290028164,38.80345741582283,37.12603038882234,32.63345994101333,36.04462285882074,39.73002757179789,40.416562883827545,43.50139920145004,43.28476256465392,47.52162009644937,45.88390357833149,41.40553164515114,45.522695507330425,47.3697656697711,44.37179314761509,44.052840988409635,49.864750464770296,48.70793531535241,44.16305371792845,47.16524345528483,51.58312097726201,49.24439176301507,45.99218427859513,41.390531241103254,45.01650199875582,40.7951534084306,40.83522824846431,35.67937813362758,35.35443447769801,30.45179518570943,30.837518490227044,33.170868853548505,36.669536653145954,36.463071157328066,38.1613812900995,34.440926832360795,37.522970325270755,34.09572615340858,31.46677155073215,29.760670014803438,29.222540944040645,25.689932989486103,25.170149719144632,24.35223437550596,21.70288192160693,21.132776052977615,21.07672910368115,19.32808078560123,16.608735497860195,17.32369741217545,17.929014651375823,18.75030041701655],[26.102165955822343,27.433419744844944,29.231308906790815,28.00552947441412,31.43135356973816,25.625936427079054,27.183868628066424,26.223717211969376,23.579250682500383,26.890302207006407,25.78373908693455,25.424329108230783,30.371140060707248,29.110707611057254,30.77106132343699,33.038670260959506,35.26277951225718,38.743244944293444,42.774926679337575,45.20613095638654,48.6312160798068,52.51968432183946,53.94323382283311,54.655302400042466,52.01028052766113,47.719642291413784,45.965096540004055,41.674056731675286,39.91457269261151,37.51812597267396,37.08631747537702,36.18859207257296,36.671330563895104,41.11548361573978,41.46692673108058,42.125390757046304,41.4117153370662,45.14742990652387,46.71578416438036,52.46762545377846,51.45669137096574,50.32972453850444,54.248447459570706,55.52764138994201,58.41269549012072,58.79048581863513,62.58449495957666,60.04652392584326,56.67948274062651,61.996780728474995,62.79254585008682,61.36178757188884,62.55460527570941,57.1650270173558,59.338562201428175,62.636069027172944,59.69732269275436,56.82925114996152,60.81471455658282,62.82221715733677,58.209840999526996,56.71999521599527,53.19362296699122,56.01393059866757,55.49132929110894,51.36613610022859,48.24171411073176,44.07006665682897,42.17667445078518,37.93158011735616,38.24165840264061,39.031722392699194,39.630633404798864,44.32693168963571,42.574463349296494,47.53214414602661,48.43217727428251,49.09599908070209,49.80796635530753,52.53121391647952,50.47679540902608,52.17519729640532,49.01828044519496,51.777748789848594,49.91846049775846,46.93460958239264,48.417733607144186,46.299482816129576,46.39948823669973,45.85159984436996,43.53155200411856,44.4057836606666,40.324310564418525,37.30438952826987,33.939806311782924,31.757287204103978,29.19447345291987,31.23445038802109,29.21748171994706,27.919339090628494,33.72845863449018,33.81613828814636,38.17902414409396,37.79955887836371,43.606054685136606,40.223721852043994,42.853142497199585,44.05171050976994,40.379680895111434,38.139804681356395,34.51880594485575,35.6905853874016,31.657607057849226,34.62126693270258,33.35204007738035,35.94102909936357,37.94542199304354,40.983789201960796,42.5204548492833,38.54650920392191,36.647549511237,33.68713214201293,34.93784642832912,33.01844321468772,30.54572053617882,34.758674544901545,32.56619713708341,36.28510877089658,38.662938062285356,42.31398353498051,43.9570481459684,46.99529081889609,49.23274909443632,47.88305002634206,46.431743643954135,42.716435512672724,43.345728341761735,41.710137126414224,40.75982083961222,42.01939696491082,44.614551636885736,48.37961934224313,45.609643464071894,43.24145588169112,45.05054591509614,41.300553857228614,39.413205101492615,36.42705856232355,35.55513332916888,31.1057003492052,30.775546236386628,26.30345366306503,28.083731842462747,22.613666743603993,24.194950975015903,28.440413202336682,29.659255726123682,32.270192687739936,34.36851355851532,37.196087833383395,40.3624639696922,41.91517023461964,43.93933748923332,46.90237141221003,49.21291448672269,49.73415410615646,51.58756248212711,54.612643216952236,52.29172175171511,48.89719178333386,47.953785385872,45.449164403837315,46.49149991608942,46.05125347853999,44.93970101660628,43.615226241784086,40.80489169839153,44.67745045869883,47.157906405938064,47.96344468398177,49.96481300854798,45.23826539207946,50.7255873017825,54.01965591302946,52.02950925420519,54.39899776553763,52.80330222026589,58.35214451963487,58.042776627049,59.1215408943026,60.18315537278793,56.25840783038553,56.399069720648114,53.87419378337755,53.61768280717301,53.54219398118035,49.49859574999867,48.76444126283197,45.73583910188837,42.56795809235159,44.57896477756605,41.382759230590395,38.59934857156907,40.51982322571969,41.21551043446477,36.45977891967828,36.36263090211405,38.677760216445,37.51879769852075,32.54635691362376,34.1352182455519,35.260265038062,31.000691057816624,30.193152189098015,33.620179497242994,35.39185268373945,38.366341387284464,41.900341335225754,41.56817610677167,43.16805961577802,48.2224556547491,50.2963964147565,53.234225802856415,52.91810009197657,52.49666950429188,54.561816625524806,52.09902888399544,56.846997690749845,56.34746333531788,50.94573338120685,53.577877842102275,57.7546740464243,54.33629026806076,52.280944969167074,55.80565427449431,56.79702463766527,52.60665978846715,51.9858468069556,47.8177877120038,48.85674110337392,50.98146975414935,48.55921964880051,49.03803541791912,49.4569610731426,46.576899156114145,45.03089708288066,45.014070438454546,43.27515010040914,39.90000248098878,40.07758145341359,39.38924248020317,36.307094245994975,35.51067411154653,39.32328279589269,37.27891599764958,32.89764260757908,36.42245932904598,39.90667103150329,40.9668061544068,44.14185711587175,44.26424022029691,48.5083780698712,46.69767023266006,42.600445882016466,46.89859163501306,48.64235703526602,45.697729645656466,45.80208744332336,51.480068660552206,50.242314229711916,46.011779499612075,49.227901103656386,53.45654707360025,51.08757235779287,48.043753586479276,43.53976500089417,47.14504045517677,42.99205261291084,42.57816506721076,37.608800429022494,37.23920114251415,32.349950493796364,32.978688652952314,35.55032074779389,39.14294307969656,39.14635218076795,40.62442567279393,37.091289308180784,40.13912623685402,36.96189168316056,33.68353459852803,31.84376572734406,30.83472882366361,27.36409923070565,27.476036791031493,26.067963638693254,23.141958325167284,23.566894989992406,23.370952743096282,20.78061708319373,17.854808921996145,18.94848804631397,19.209108794599594,19.469635960971956],[27.844328104627053,29.50450263524993,31.856839669446384,30.476612312491262,34.48521397980795,28.942583053532083,30.804129362213896,30.23837493561929,27.58786345519495,30.83395970041937,29.860476910116443,29.7896738058526,34.558737861181584,33.003687975044336,34.861933527958115,37.26415189655798,39.283628280804976,42.7407049639585,46.54859676464926,49.18931087415374,52.49183769797412,56.476329623887956,57.734394341764364,58.32497191293217,55.81323695888899,51.45703671854442,49.849078710215416,45.57865465079412,44.01333066574219,41.79543490645668,41.296637166034934,40.62057550066305,41.11593789201371,45.492417751267034,45.87461186466281,46.408652539753184,45.81431474232532,49.364615383121205,50.85131539585475,56.6794799672883,55.46016225302465,54.35812372515241,58.35725350550231,59.5931116333254,62.35545801434156,62.65445676258409,66.50105446203696,64.10135678315466,60.69571952107148,66.00056310526121,66.93786824695219,65.57948486026899,66.85051463924978,61.444055555784566,63.72117844827557,66.96181592800512,63.933660766808764,61.14574066445061,65.15966702171744,67.05351069162649,62.37939167487284,60.891210585509576,57.37641625547033,60.02717857989664,59.530087265506154,55.47576020838349,52.12436308117987,48.04567672767389,45.889756671431414,41.70351425349293,41.79123719069125,42.380870202188746,43.27184414309644,48.00390419439037,46.52791741899279,51.52285496646204,52.57786086278606,53.33599671515949,54.128070022195175,56.87074876612635,54.91352989742073,56.571448841274346,53.48810386725446,56.161171624110665,54.19894933582786,51.29036990686362,52.723645159723816,50.739794985136115,50.684585008233796,50.21672925970703,47.756525047174094,48.50135828756629,44.441309167391736,41.53551792865476,38.184017663224715,35.89565043086431,33.327502759102096,35.65640716904025,33.712302095632,32.520763681305866,38.29085675780932,38.34932408001972,42.69287182552947,42.20179786544739,47.916849174329045,44.38221108370903,46.91943086723125,47.93220322140427,44.106799406168136,42.094829006394306,38.337251637974944,39.6283847601445,35.573772506627016,38.4220128832526,37.20345576782794,39.57310631222172,41.66418305441428,44.46427582778959,46.05631503104807,42.278790106345966,40.17688837524984,37.28034843861636,38.266251315903204,36.457332621905856,34.05264689616455,38.2568678579142,36.07674637995394,39.93447902443708,42.322407363551214,46.18898350210145,47.49607297865781,50.639571358759206,52.925374794874635,51.81990644859767,50.16060272527385,46.44232633761883,46.713109910523926,45.12135365295825,44.06405429159961,45.58942763481584,47.94535125712747,51.84303607741484,49.252101654120914,46.9532131412782,48.94341993979835,45.33287334398295,43.34563736146336,40.526149655849046,39.70307673839528,35.26126530493878,34.97844541107972,30.648714741276127,32.49482314673253,27.052912757854507,28.772442279896506,32.991006046582,34.133354793227355,36.679634851360134,38.76859667854086,41.44998389849515,44.4458041993793,46.098465880541156,47.84832118081201,50.98517979579765,53.12709642308441,53.357089174585255,55.245877436756274,58.0986710860313,55.661902975068664,52.26897924432756,51.482543392156224,49.09980183195219,50.41011450427099,50.14578479933439,49.18213105067888,47.97290843220829,45.205834933697915,49.16856648858837,51.540741678052754,52.338988278176664,54.17750275306514,49.39443556208482,54.80469542499377,58.04021320709344,56.00332190975314,58.47753300490843,56.88904024071202,62.401892368962635,61.88090305671684,63.00334721368426,63.95663448740063,60.10185116173256,60.11515116833068,57.52406073451613,57.20548869023113,56.96311751401161,52.80625446911397,52.0971820916163,48.876020882751114,45.94039301179047,47.75319410613695,44.74456801429419,41.93377471170415,43.45536107510578,44.15721800743144,39.496928639192106,39.016025297487936,41.206693307481174,40.23150480892873,35.130809636958766,36.34690625208348,37.3759852259165,33.29674810960026,32.1080796363993,35.19907192790874,37.10559582980897,39.98241729425705,43.51849682448535,43.55883083303793,45.09270223744393,50.24057793423359,52.07144647494737,55.27218444578442,55.293107796251064,55.11227949736086,57.39471448160263,55.194957995105405,59.912838664423546,59.13741731242206,53.842391113456934,56.70555975048327,60.6873099606831,57.107926823780126,55.26017659785478,58.90958400933663,59.55173516492505,55.27149802674249,55.027313263807365,50.791198421114004,52.25554430494934,54.340422071899006,51.84578172397972,52.56320755639701,52.92963158461051,50.27500097961444,48.55907718170518,48.31971163291806,46.80077906300533,43.471075952709306,43.297392365157854,42.56731093255191,39.54294964171669,38.521161741325145,42.110071933242956,40.03428887858412,35.58583112344355,38.81287931473296,42.230568162818855,43.327541442807046,46.73132302171531,47.151841223473454,51.28157810592184,49.11300367269422,45.15778573065365,49.65244515723686,51.065021993273476,47.99753814975551,48.384881143512466,53.94615886912509,52.33952929330547,48.2219171113513,51.69059536714918,55.67093983859096,53.00231774197843,50.0212504033109,45.515731686115274,48.766926105825746,44.502667456859605,44.01117494593083,39.197104378398045,39.27712706725803,34.56571004710612,34.792098516927204,37.565396393234515,41.051203658069184,41.41019918601283,43.16815360779434,40.00604012290411,43.325021828330655,40.31401778716101,36.88381292908091,35.36522202717152,34.189673228553744,31.09702542877882,30.947184900701075,29.104952971467103,26.539667005836762,27.235882166307288,26.314117241233593,23.5649939477647,21.199313190205096,22.72346142969345,23.256699886328597,23.48568890675501],[27.53383023287495,29.37933860307588,31.763409176517637,31.10151823686683,34.86881622946129,29.26638086605619,31.289437811675512,30.31180510064855,28.15757621243699,31.776526441414585,30.844551727449733,30.246810276807366,35.27906099858032,34.2617272641162,35.94299868533063,38.07656550607495,40.36296195662109,43.935835255331256,48.04838403807753,50.37945056520737,53.88016913668752,57.70684101585211,59.20685722941299,59.904572934506504,57.185081077088924,52.92254446427408,51.05003887439635,46.74312929439226,44.965309669005734,42.41833302934136,42.158457851754456,40.95580729055379,41.36174279041787,45.890707823299415,46.26880651685597,47.09788462345016,46.149321470098464,50.067899248651116,51.593795027305816,57.22016756701946,56.359661671082804,55.391232541317166,59.27690205445781,60.4787215074073,63.411059570563786,63.69211721498447,67.48852540155728,64.9463236819008,61.46311738231418,66.67910764249706,67.48937461767625,65.96573902389689,67.21071300296931,61.868685551377844,63.98451475239361,67.41486032596147,64.60162875350284,61.696650901986224,65.65780621528067,67.78566707556054,63.26481074072997,61.7925667217655,58.249984310563015,61.20028896183751,60.66946600107943,56.49709960348361,53.51379451850062,49.30299165041268,47.512166221868384,43.257410497001516,43.613894845234945,44.41210180683352,44.9607145268651,49.6525234009379,47.79490604018933,52.65055919613642,53.52314505960787,54.03057404390848,54.713231754543976,57.420369476065275,55.18079244217525,56.8450304365234,53.45135680551809,56.18581802556738,54.49236636224317,51.576165667003394,53.27255925177928,50.994846493509186,51.368538934047706,50.67059446651587,48.5297601686715,49.40131028609994,45.32285818979277,42.20401610257388,38.94885810948303,36.77748420235087,34.33379710347115,36.01771376850813,33.87396059959849,32.02949109601598,38.07737333237113,37.68600519140163,42.37450773936369,41.61308500470756,47.37000392902782,43.89302030862185,46.13650434323536,47.32409287126977,43.55748192655681,41.45256281478299,37.96007604039123,39.652319719353194,35.862601405770064,39.063543463433504,38.16443790947749,40.78199455542706,42.97387044594497,46.01285140895602,47.745750130593436,43.772452101758944,41.8676207201212,38.8318810539742,39.8984752610791,37.81879343721579,35.128743676488575,39.06636785417227,36.33502824001754,40.15357681606783,42.268296822162156,45.974611115566766,47.42135885658776,50.27245484793261,52.82270572007571,51.53933167918802,50.28954821890325,46.766539623128274,47.15207551905223,45.922811681210824,45.18736299178824,46.587915483423906,49.36288399243741,53.25067447220281,50.58171833746148,48.095807249642306,49.90638102140496,46.172198796624464,44.2130927252544,41.11193744588849,39.96422236005387,35.49402974694757,34.702748009761656,30.337517991347784,31.57041267934119,25.921349247153163,28.090633962147553,32.39086580898935,33.98493143529379,36.28279353738246,38.78204697183718,41.29434054095158,44.709286105956075,46.54402510715267,48.57489093514038,51.53351789744545,53.67958189348438,54.21002125490114,55.813581682783486,58.82942183156949,56.300293857019035,53.06298346019319,52.047361090722205,49.75143332071578,50.790230144952865,50.363640326882745,49.302991928618255,47.80187088034146,45.234615209491146,48.857765938507974,51.50475218617151,52.09116501931504,54.20711821807975,49.22807570783473,54.61925105200474,57.94332469685709,56.1215032027575,58.768990143221544,57.40447384945927,62.88646892812794,62.69171244749992,63.54108505941862,64.45356391340115,60.4791961741086,60.36015854233078,57.677912692627416,57.209084907219584,56.87005026945706,52.850198423571065,51.82948122913357,48.55271570259717,45.4537858145577,46.955348705427824,43.759010427195484,41.23259748302489,42.77835005813429,43.078108270068725,38.451446812311914,38.45474060836846,40.25976293411883,38.7935946598291,34.06863343717695,35.37627530707301,36.012109883741445,31.852086827655132,31.17801524231641,34.075542147747726,36.25933854698901,38.632522690686066,42.800127208690384,42.6057029900199,43.79986202933505,48.91295705446836,50.53716340110019,53.81765003780168,53.66345947404405,53.6442201787665,55.86492441858151,53.76288705905817,58.562352881454586,57.85604287258961,52.774664035606094,55.64962358793177,59.73612039544403,56.3066047144173,54.56091235963439,58.29794264917453,59.06227897374435,54.86176143824501,54.7768245124864,50.29431552046796,51.58413389931923,53.4493927388188,50.66239457061731,51.24301943436656,51.26433758436023,48.774238866917464,47.30291423520394,46.667633972756995,45.00655997893626,41.99693092502167,41.77364450996117,40.64800720817374,37.59991221272676,36.84883869023104,40.15483566362766,37.81770383150397,33.54405898016126,36.90681682418878,40.134681811294556,41.52079613671989,44.887999962013495,45.49889465670978,49.636088351420184,47.45761259778627,43.822173421087854,48.368061690515475,49.79939180527541,46.854685227352235,47.515077199833485,52.95748561677573,51.444666238193136,47.60638944330935,51.14505901092944,55.02669195903742,52.48786034688371,49.70054319395111,45.325699830521664,48.719252928717346,44.62062753969264,43.71916036492152,39.058481929156194,38.863839324892545,34.14536818789549,34.80118844989544,37.66954513747047,41.26733327831579,41.65647279510006,43.04756030197045,39.940383155767385,43.10094899179334,40.30721916021634,36.340539135195776,34.63605790694895,33.10797601412376,30.05021841688922,30.495659490028913,28.30131221887743,25.469992330697167,26.9236385611931,26.11455784103668,22.784270874666234,20.188298173502158,21.86630137867284,22.120094109726463,21.958081832524684],[25.19062482779778,27.26073106856682,29.937390669978846,29.603933854940784,33.591437912665604,28.2427608231437,30.65231836226005,29.873355134606985,28.13502118915389,32.029433395991845,31.48251746885279,30.90617729856825,35.7556516201852,34.907350352552356,36.93213426828619,38.9219330804568,40.99813009159401,44.80795446215048,48.9188947675402,51.16019729367357,54.75708368767743,58.49509440450643,60.05318106194439,60.60062434110708,57.769968821962195,53.54218364746552,51.50651443495353,47.19204635992127,45.580637167084085,43.01984139414004,43.297236896158175,41.80430715201141,42.510141245334886,47.142477313359095,47.23078240863882,47.964876333422254,46.74971464195111,50.587866155246495,51.91741639049406,57.44580289872925,56.57276409818001,55.92947505899146,59.852346144445804,60.870740435449946,63.78301123325586,63.87061626321326,67.70789429970438,65.25609094605322,61.56773124098127,66.66191097965466,67.61112928418879,66.07871089961405,67.48662847082603,62.16439494078273,64.38555989655137,67.93500151750759,65.16216087953673,62.3705976981803,66.42086434263938,68.52500745741811,64.10926679101775,62.872069960435205,59.43547251594001,62.43504968623804,61.688801962944815,57.46572194653551,54.6357079981748,50.433917881053496,48.676698889167895,44.52236740223969,44.8624659858587,45.89715888849181,46.487418712826646,51.11211682964887,49.186930102730365,54.20229153078724,54.769241537745984,55.385746692292315,55.8197363294234,58.338257760394605,55.89099627954042,57.30242487433192,53.75900301162847,56.260333208212835,54.5827062549021,51.88305741385734,53.84352786782613,51.67353268800796,52.27959196623799,51.842921618234335,49.83525352350787,50.996172137312875,46.90056187098463,43.711970809259746,40.264647946876615,38.35456047609581,35.67977674327582,37.16458015590115,34.74587921583874,32.72704406480008,38.69595106771801,37.797513742992045,42.59426191547829,41.36656925005617,46.92738949758354,43.23151474699656,45.21502961343644,46.22381980554777,42.3276109531865,40.46423675693671,36.94869649792248,38.99143655569388,35.38924475933621,38.70552786952039,38.23015907366561,40.78912951298712,43.26824224593072,46.241616829213065,48.350693245609826,44.46519111240918,42.48518189114991,39.31274067684032,40.04315410829516,37.7607409478422,34.85083136104466,38.49062742910952,35.37008428072496,39.2766372933264,41.21786885943378,45.056544142045304,46.20383275045817,49.00012091865005,51.728313536373975,50.63905092802207,49.38550427900078,46.01502814731949,46.09900261296094,45.200801089956414,44.652551643103294,46.242039798948426,49.175263376495764,53.21796130445476,50.734211956422726,48.111862288477845,49.999395470105426,46.3954390759635,44.27596637583689,41.16966437231734,39.794699713862975,35.34272418732953,34.28482315888632,30.196954347460395,31.336024843622848,25.85518898403831,28.489457201393122,32.6334627043144,34.242233806370734,36.179623722868996,38.942134798091004,40.99021384423083,44.40632689413863,46.59924401191862,48.4173254250111,51.4815524990653,53.34028347774222,53.74607930991243,55.136195526394346,58.08464489986088,55.364061960133306,52.26394206237601,51.22925568305068,49.15607348907538,50.31049486937812,50.02125034027411,49.15232111338375,47.66887253672633,45.391916267938136,48.98356880741056,51.53154745029149,51.934334302008494,53.916817249293345,48.71216869466194,53.954895203140524,57.239160523032126,55.5003101074831,58.43908146806918,57.31386515094511,62.687060363862386,62.47756458877635,63.108741141074105,63.82975556647432,59.86436827222353,59.48641122615252,56.67228479082775,56.04101019354344,55.48518446531883,51.45613964591341,50.30023318658011,46.853706119261815,43.893062371221966,45.11202015928598,42.035908449020056,39.58814067473409,40.821998016070474,41.00784315140757,36.493759072362096,36.384549587049676,37.972437120170326,36.53268038043038,31.84212464928847,32.94329905686047,33.43678905727702,29.40034557405942,28.636703393122907,31.31717656286932,33.613702682213436,35.80972936842962,40.10614112734375,40.0112465715658,41.09210257784213,46.21518926397625,47.73164953143939,51.09592241190787,51.09922651467615,51.24073179526644,53.58649670057041,51.69149305981716,56.46151615046759,55.577884168264895,50.62728149029661,53.66046366661373,57.61909802685923,54.13273447029377,52.56737862775878,56.41594878112158,56.9720187009948,52.76060385470529,53.003808006838696,48.38799698567323,49.946921936524305,51.69688980454265,48.794468942502405,49.56159930653425,49.51395312198939,47.26776582017457,45.65411839383395,44.78424177870659,43.34442279847511,40.39825376828551,39.85372486322398,38.701077122568805,35.73094555974707,34.79361214298811,37.910522318606084,35.5959474001811,31.29579985998078,34.428315852862966,37.60364480934657,38.99612894615061,42.48187691278571,43.293468299625296,47.33046421118785,44.94128413510868,41.44471499714526,46.09910677965138,47.32604468805833,44.351211090525325,45.23862424588874,50.557378428270994,48.87361971836414,45.198146761195204,48.883104027636946,52.57650681697476,49.942298922035214,47.27287260171151,42.98284670171303,46.25233112864125,42.20785898788768,41.09891992326438,36.59613198444819,36.49798381848783,31.926157539257524,32.55784199975532,35.52800779389206,39.09862796895282,39.68548934861032,41.044039713918764,38.252232779437136,41.51414764133415,38.99959274150215,34.69065813149514,33.20153335237918,31.43752413488672,28.804620757227692,29.176046798172997,26.51476462591172,23.9624491289205,25.911086385320434,24.55121346542433,20.928203835979815,18.787111127524113,20.876507398300046,21.434534125996677,21.30738297067728],[22.302463917507733,24.153586458950112,26.726625482154528,25.988513278301575,30.081401931534256,24.740629618370754,27.144578286294745,26.679853860302565,24.774645350706244,28.602867287102708,28.245322232999257,28.009025966015244,32.58857389925702,31.538477236543116,33.87999284308195,35.93422364550081,37.725182591100946,41.6237932701225,45.58598265082043,47.9291206777038,51.48917878892359,55.25826166384083,56.73022862103076,57.14396755456269,54.34368799063417,50.0849136084246,48.088660206615,43.7826915814831,42.37623575621674,40.00573731399428,40.49298967871567,39.146526639397656,40.14193924837123,44.74890724670063,44.62002498715737,45.085417958167675,43.93967277970235,47.48723094630699,48.69130255287573,54.30162722533624,53.21600747569156,52.65087081017844,56.66287108236358,57.56997064244628,60.36492811747006,60.360909258581465,64.24356402288142,61.92994578785154,58.19206844888628,63.27837742063077,64.38081826936438,62.92893550035747,64.44845038289992,59.10240032093388,61.51831885412139,64.9973765214194,62.10529590493863,59.4714290377,63.6116129679689,65.54017516528901,61.09437195106765,60.01948530470777,56.673668373261336,59.52875287554414,58.642402218858386,54.4545986862952,51.52564885891795,47.399533261657375,45.482049304999265,41.42935534544725,41.643575185323655,42.780976284177996,43.535640425009234,48.13061060417216,46.34429412229555,51.57807532194551,52.004208075394125,52.8729850144136,53.18771486330968,55.59672691191695,53.21071690951859,54.468581525160545,51.06622208833457,53.406956209606406,51.541758829456455,48.94566105840606,50.87733368844183,48.97809085298124,49.43859426096112,49.35094095639787,47.2232979943247,48.547032519158854,44.44450823595624,41.337428567660226,37.659195348912405,35.89740899761449,32.94601738138681,34.700826217257436,32.21966680279174,30.61573389649176,36.30476404854105,35.4871539865775,40.0557405974342,38.82096456914075,44.27683538201967,40.45097939752239,42.611964498609034,43.438576769015285,39.46623564748765,37.71336977956887,33.96546651507706,35.80923522474711,32.06917293030141,35.224092836842516,34.728022905672766,37.15227467059076,39.70914204730558,42.55496355946022,44.79153314857249,41.02707253920054,38.921931241432695,35.73138710366,36.28703107837965,34.028011935311376,31.160378665724167,34.8587973326203,31.954669380667788,35.91747719464207,38.01633096640908,42.00134811511245,43.015608112720365,46.014248969721606,48.57956676942453,47.64728745751905,46.108284077871204,42.63360817884246,42.61120353813044,41.5711992789508,40.912665913394946,42.592169870985124,45.398414439262574,49.5030571586775,47.11738204442263,44.523012493741874,46.5353753124698,43.05035150895447,40.839751411904246,37.88809320274694,36.620870588805424,32.17867900413115,31.382708120102993,27.419553649670874,29.066084074475565,23.845321761098642,26.33367045478413,30.325068136600326,31.56110299704392,33.519936895413466,36.097891513995336,38.065486368440034,41.19650859303272,43.41886330284881,44.979645292126115,48.199611616497045,49.95020710272725,50.16044097201074,51.64980090681909,54.50090194998509,51.798953824657474,48.63589032261504,47.71413622556967,45.63159486797674,46.97630541125223,46.83710214046967,46.105914597889864,44.84522719500736,42.54984276663988,46.403136324881984,48.6851800948152,49.16637451364211,50.88330503040927,45.73898293943235,50.96071483195216,54.17465048881787,52.30590132163771,55.22534369469979,54.03849149553276,59.39737989998471,58.99476691070062,59.71904489834036,60.418011799894664,56.515230950572025,56.16218013741917,53.38247995518452,52.83430888863428,52.331101386777924,48.20599864164261,47.246190124686976,43.8377089591828,40.97393901896669,42.44689565477634,39.50511651474506,36.81391503006016,38.06763414848707,38.59287778023081,34.01423086885881,33.55845275425034,35.50539195253162,34.47429737148812,29.423733775300494,30.547009913521322,31.44590632705543,27.410630315889037,26.27369740869097,29.275453046132398,31.2791437214611,34.00589398283997,37.7450939655621,37.717271731290005,39.141060862656445,44.29042347175199,46.08725611770742,49.30389514827163,49.37046405955018,49.28619272777042,51.65105989636774,49.6152096846304,54.32510037478393,53.41873814636467,48.244831193678266,51.2433366962055,55.14951722294036,51.55953498080405,49.87253320996352,53.646609962018296,54.16967310868902,49.90016386248518,49.97242768815869,45.52284732260458,47.184252049866885,49.11815341757158,46.461684779743244,47.35203286875436,47.64347552728538,45.24041220836325,43.37603081085786,42.89424074720707,41.604179261242805,38.319105703918474,37.824519879507946,37.09269017638683,34.141169927719886,32.9208178169584,36.38908571435577,34.3807657037223,29.874312584277273,32.931851740559736,36.35147172358901,37.41455832415114,40.89064707554236,41.44439964511237,45.507996436732476,43.20622413498783,39.343446898655564,43.9247618065719,45.21745418992444,42.15203575897257,42.72962988582607,48.199447382706694,46.54099588148678,42.5777762546782,46.15844453934884,50.01441293756716,47.362991226507134,44.506111215517166,40.08676113034617,43.40237534794076,39.25416568254715,38.47005477608268,33.757773642111935,33.71220012864316,29.043517989594946,29.487827313489785,32.37645188038129,35.93335725677454,36.414704933782915,37.96344237869894,35.04310444175421,38.406822836351125,35.735330175242034,31.769769200418956,30.430690438274667,28.955901190624623,26.30356236920014,26.16725848762723,23.770578608687305,21.42529203429593,22.812689536153034,21.32000439500436,18.12238332818191,16.15033319185789,18.19575260678851,19.132488950950922,19.432641736919372],[21.171218869059683,22.581152253472418,24.483511622289218,23.81279946598213,27.269421488825174,21.593707881946386,23.649855418699342,22.7899908134417,20.84279990431849,24.730223768814565,24.250914330031943,23.772719960590457,28.49471162608568,27.699985143464183,29.863873321262247,31.79980706709252,33.76300514961498,37.664492730622854,41.80831579132563,43.97547109487284,47.6257756845465,51.317035462684665,52.920954067317524,53.45179329956791,50.55105811068392,46.35043988220035,44.246526940974306,39.92707890572014,38.34404389146927,35.83129101223241,36.36146839897292,34.85294559127924,35.851987886584396,40.49540060052843,40.33636682208977,40.89084575704672,39.66899286009393,43.361193553085364,44.65069735619615,50.21017161109471,49.29938052224991,48.674388762075715,52.612921041327255,53.576474989260575,56.4774802202173,56.56613677095057,60.39671073108947,57.951417511110066,54.27571165457879,59.391123780538436,60.35104516267913,58.854094106471045,60.2901413910729,54.9513003196807,57.2765543833745,60.7853275354679,57.95574743394105,55.25091749486781,59.363085806542784,61.37502986992345,56.970386196372054,55.87996855770949,52.52776417392964,55.507774710792425,54.61450635763123,50.37799480014061,47.630141580861576,43.436564440040485,41.74239266571514,37.65255819490018,38.05276077465204,39.35116181110655,39.8564996782496,44.40005988944427,42.399267875567816,47.59211201200534,47.89495277434457,48.695260478907876,48.951033238609654,51.348437543587565,48.90827263035295,50.21255102477373,46.783335203548795,49.21675326834838,47.41848658057887,44.73663368862327,46.679509763497926,44.67802655602551,45.23584418889117,45.091734543816436,43.066437816449096,44.4935673538967,40.38890256456153,37.21033286475413,33.5216851231118,31.872521013329557,28.920895516961274,30.436442390387835,27.895066487948686,26.252534426030277,31.940100856675983,31.194619076610394,35.750788045009884,34.664565585987454,40.233191397270225,36.55636221470822,38.873240103853036,39.88926642758268,36.0665070638977,34.05677974174465,30.403744200689015,32.06939703444906,28.29911237363035,31.549331265112354,30.955366957035263,33.58591250004934,36.03339215333802,39.09874202515307,41.24417556687687,37.30581765753958,35.38968548986218,32.158366366443914,32.98551627092452,30.6474777025034,27.739816748372647,31.49512030908137,28.64441464025749,32.47406851410223,34.61078663094083,38.393761427227155,39.773018590264634,42.70927395991196,45.18420518882831,44.0002320609993,42.62668029308078,39.1101189897911,39.473354548923574,38.3189482835589,37.7258717839286,39.13421040848203,42.133890690989006,46.08910033831224,43.52097288563163,40.883552535061334,42.728678675599845,39.1075998968597,36.99975409437407,33.90376993560836,32.621906530600576,28.157692668513405,27.363417457579818,23.2311851631768,24.89366686297631,19.65252124569091,21.98839646421828,25.99394723037458,27.257472226190153,29.310402234281646,31.860972126026198,34.00982713504722,37.27893812306255,39.3697912710951,41.19363399772628,44.250981319698326,46.19077253775789,46.68076185328193,48.18036348883075,51.19894388408028,48.64177168838666,45.443882072623346,44.385795614201434,42.146211425473716,43.23996123821512,42.92852564591936,42.04607530613976,40.697967961108354,38.32224476243505,42.130037765606396,44.49705193248514,45.018973960677094,46.87819259908005,41.81856412337778,47.14489770660911,50.417862011040526,48.56319783922065,51.33939867992711,50.10004616092194,55.51001909621197,55.28620221631218,56.01720302339067,56.84794857308567,52.880423880628626,52.69473044193434,50.00201367121704,49.55116333983173,49.253436774542486,45.22424913306116,44.28421227849659,41.09483019252605,37.98021535420068,39.73361607405976,36.59101104665648,33.877447664864526,35.59703742812254,36.17677525755278,31.460734335697317,31.38325746711707,33.54161363151757,32.36066035207746,27.387709736380312,28.948965869568635,30.020652281438387,25.770877014951363,25.023732924763763,28.452285115850565,30.252588586280368,33.16666501806478,36.80513895356658,36.385410152671675,37.93594253413212,42.9890687060372,45.07466978625406,47.99827904527669,47.70762722771849,47.32728065240422,49.45849098196047,47.105944154987135,51.84946355090082,51.243907521735835,45.907316239920185,48.64889763298789,52.76776786018816,49.33125928967535,47.389818328108376,51.01530431187429,51.91571502260633,47.72771278153802,47.347677412899145,43.00412682020282,44.21093130948004,46.230466494464515,43.6893262986496,44.32902986072186,44.72767001740191,42.033990065537104,40.32496631858707,40.15197127213229,38.61989476428967,35.2254359281837,35.14250476848675,34.50722086542374,31.476157196084355,30.479159324768773,34.26386862769922,32.31699184698357,27.848010101725816,31.256819713390712,34.78536611564102,35.771586749365824,38.99422245728642,39.179999882281315,43.38619247320539,41.49103793531343,37.413140097226034,41.7715873948899,43.443534413514534,40.49634303061274,40.70948436652904,46.33958086236919,45.084332318358264,40.94518975991055,44.23206989224598,48.38966874369075,46.052611332179985,43.09174081945776,38.64734450975048,42.341144467077065,38.29323765849157,37.671584569996334,32.759263807071534,32.23570083108754,27.347224168867413,28.2039950660938,30.842441312258448,34.503922467841036,34.570024916205355,35.861613563432044,32.484892513357295,35.577535905852805,32.664457601153266,28.938562898663562,27.241809722332142,26.003776298179947,22.866973619103703,22.953140273383603,21.11167765081077,18.323926535544462,19.30923445421731,18.66299432979877,15.708151152788286,12.990327797991315,14.542847514801965,15.235393236176126,15.669010210504165],[19.63895215189615,20.79658568557612,22.726962259027157,21.163073709669977,25.08345151407099,19.617291147031196,21.704427467962354,21.622807614378594,19.258381018439323,22.842206240022026,22.659523111766223,22.9600606969316,27.115371845945678,25.738920817362665,28.453411430294384,30.608984256154752,32.02955404500383,35.985027041558986,39.748597962678616,42.22177574089603,45.70984356558967,49.52027907915797,50.88016339525212,51.16717995758934,48.42178867474602,44.130074297760295,42.21753459346588,37.93290191916501,36.75782392434821,34.67159144485229,35.34865716770393,34.2897586029314,35.65544485384883,40.15993898700993,39.762554694285264,39.85138693952439,38.88128623711979,42.01649126331404,43.10204328177061,48.84294585839115,47.47149234400206,46.92218569989127,51.03222191361955,51.8851180895119,54.55650807491448,54.52155787739807,58.4500538136731,56.25028310210229,52.52103499855857,57.65842133429284,58.88521937763633,57.57102017744154,59.16107975933349,53.76659964728233,56.38368255237095,59.735500998121175,56.66901066500781,54.20575843114925,58.447785170369386,60.14414582065927,55.63723449247413,54.72183619981599,51.49371114511901,54.1434177976255,53.112751988727396,48.983744912027575,45.91753395326329,41.89916091178738,39.7935138204277,35.87980950512594,35.94629513611223,37.23173552934233,38.16460798452582,42.687316628560154,41.08415195713031,46.574220351127025,46.833860101019994,48.03779738898629,48.220745769256936,50.50124232498331,48.26507004353234,49.36667138222995,46.23838356559064,48.41414672193868,46.2797406374423,43.76958201741929,45.56884234440497,44.03944767185372,44.228675056759606,44.596448770095556,42.28664686077832,43.805570683721264,39.72639003400215,36.77234839371761,32.80848423186087,31.26721332897277,27.9539411910447,30.13042535475164,27.64895630893064,26.805235329490543,31.96216098482754,31.466247516181298,35.5755272666763,34.53629829059296,39.87315912216373,35.98911102677537,38.54427799567521,39.19696377737344,35.232098096478765,33.51324070404942,29.47846744956358,30.7857903846936,26.76989486346472,29.610520008139332,28.903017867981585,31.17126657628867,33.72335714301711,36.451670733246814,38.737494164179076,35.09961293318349,32.87278457266462,29.68592854595862,30.142770377722687,27.96882878040893,25.246969781385854,29.172289194937395,26.824242050868452,30.771393622398527,33.18668730836394,37.267472809426856,38.27579780470361,41.5732785018818,43.78836636362102,42.96130015026936,41.03532345995557,37.35159560216516,37.38286703087707,35.949941469812224,35.06094551536042,36.75649746583969,39.35774166921877,43.45104067799407,41.10068361821422,38.58605326621356,40.719164642185106,37.353476372219404,35.083589028590104,32.35784980811332,31.35352154367548,26.95508246323987,26.713554271033274,22.8918327801778,25.390966100290107,20.724944007356555,22.66970937621631,26.348224006043104,26.944574647382524,29.057660229065167,31.200315961522342,33.226905667404004,35.90588813634801,38.00947290316814,39.30420409294391,42.67548201128806,44.4111958419926,44.43376798093206,46.164294798864084,48.94464297781855,46.38447887754163,43.062709543019515,42.28045832754435,40.061097597703956,41.586875116660835,41.58490041694985,40.96742609317835,40.03292671473909,37.605724405980524,41.84046707247199,43.75218542083437,44.426114539555336,45.814550067261834,40.878903602494184,46.1225146187526,49.24701272439073,47.16230685895832,49.90270811007303,48.536810591382,53.914647414287145,53.272949104073184,54.20379195179281,54.967734815661245,51.150118911223245,50.97638123799156,48.324062720180194,47.97877723465073,47.68981721173984,43.47488039646523,42.879340209355085,39.686811673823385,36.87152573413758,38.91415807568662,36.111721487364505,33.04446429217428,34.57489311216478,35.67322858079712,30.995793388514773,30.170746412062435,32.7875025202685,32.33762155333658,26.885719597144696,28.2296115877346,29.82210866615452,25.802211734775575,24.287072856630484,27.90571341910541,29.307577045906722,32.86547479081592,35.62920205865452,35.536283494734626,37.5176430995117,42.583249353918006,44.915613181071855,47.728319119825855,47.7158649747,47.16468124794035,49.41614278317207,47.02504012860079,51.62341620183629,50.851218731971784,45.29952727124167,48.0819647998756,51.99237595482227,48.34304692182175,46.34224340821883,49.89283169221934,50.54804524871689,46.257748268727504,45.80183929731882,41.73254525778387,43.298592274400136,45.556342423214765,43.37593012881112,44.296076344377376,45.14507454611076,42.36448418707443,40.24535935682914,40.52198614706492,39.32071376894567,35.52919518554733,35.35893563914116,35.29959596571822,32.38854103902213,30.917587314107713,34.98199361945657,33.46281252780102,28.815075580481565,31.865390989789265,35.59773446902238,36.15099732677281,39.427657976943685,39.41520336642899,43.53494300000701,41.5948745568058,37.147666938354035,41.439846810277736,43.005159590736994,39.899454352429885,39.80817251386911,45.53229929208199,44.11182694607277,39.66256744162828,42.88964169125545,47.11033791686528,44.59572805975232,41.42171573502658,36.83977010387827,40.34181399888118,36.108600310156866,35.96167369365991,30.88621876602244,30.731675080385504,25.915033264003615,26.179956034448626,28.709084118219632,32.226954219151104,32.30693623470262,34.066118405518004,30.739070020957346,34.095043837082066,31.025382281505163,27.893477447081274,26.611064426990165,25.796655224162734,22.903487031282133,22.0028649232389,20.489852166432122,18.359884207583406,18.36803135459343,17.19303867068459,15.148748678159023,13.224845585801106,14.691371327001717,16.072162100773898,17.149637101907043],[19.116458441409936,19.59079132266033,20.712795931318855,18.64891949891347,22.02645754117952,16.373695876522387,17.9581496567386,17.95320885073925,15.172516969829273,18.55170629555099,18.409116840961662,19.007462462136672,22.91080128382858,21.404086970146064,24.277537624252364,26.455029458637757,27.71671116635327,31.695823874414323,35.417594125231396,37.90038091573642,41.38002005937685,45.1880308571205,46.5362875008914,46.81103193620842,44.059992965918596,39.76794246916944,37.86796698410439,33.58712350105107,32.46717117156028,30.504837715301168,31.28677914582418,30.36719778589188,31.947721755140588,36.37518082279482,35.81735212018738,35.71419695116527,34.8434045565004,37.78545888498541,38.84867625570801,44.655205671114174,43.18770347339475,42.59661803051088,46.73261382453505,47.59136922476266,50.23785316826074,50.24241010139378,54.17352409101714,51.976640181140745,48.29445553208239,53.48682959595695,54.715661951136624,53.45582653879072,55.03676197756086,49.6183665284834,52.30658955542214,55.58361629755964,52.43993078588903,50.039806966248335,54.320392591367174,55.92067799135262,51.38872305593094,50.54537527820704,47.37945008671795,49.95579028154241,48.85040470891698,44.73998150330423,41.66065887742812,37.67869234378822,35.55418496606455,31.70732384433111,31.767696314357575,33.21006907315718,34.134526581603275,38.59022002600599,37.00626185342818,42.61641054149327,42.74082479424721,44.10767528075729,44.201618371035444,46.410750456465195,44.25738714959698,45.302691011161,42.34058548745808,44.46880554475889,42.20622101673934,39.69850796097793,41.399140281937775,40.04536544401519,40.09494961330227,40.69899259312543,38.31963148933627,39.98236775377267,35.93078637587807,33.0575825990563,28.933979450257326,27.582880376267884,24.056385919834124,26.415982926189027,23.94823590112909,23.636869002664742,28.377929241408538,28.167277250124446,31.93214995322385,31.12740298299091,36.420022611717286,32.60666324158152,35.4727074855551,36.1122591259686,32.26171777499506,30.446625100206,26.320261683323285,27.147568832374823,22.9359457566311,25.579887789011394,24.63767281981999,26.90574077414277,29.38029040676455,32.148220959068404,34.394938286962855,30.74447340599926,28.530338639726708,25.329668308439185,25.88294927879498,23.743627329131236,21.12703608692862,25.265279645480213,23.37913029240525,27.211141975702827,29.847263971069534,33.856694441548875,35.044061809703365,38.47561188011805,40.41843875091532,39.5306613654577,37.45411701158192,33.623873858519495,33.894054864366815,32.13771416966816,31.115867314103273,32.670515017544716,35.21868818296836,39.22585108445114,36.796410839002775,34.32185234624002,36.4480181141284,33.08384657621339,30.836128465886187,28.194718422234555,27.383606265218997,23.022927826451333,23.20161365309436,19.431964873715135,22.500318272824718,18.32903222262336,19.722946796032637,23.123018130007395,23.276653852431547,25.54780933697667,27.344878961903415,29.52024008031587,31.95966780018117,33.891402049727006,35.15193165043376,38.53506141770727,40.370479553500516,40.41146439380562,42.30913369912998,45.123952324740884,42.73313515512451,39.29698170021479,38.53969723059264,36.15077317420561,37.661170976297655,37.65543689593201,37.02672680908275,36.25703740870718,33.69726160916643,38.13644425450571,39.86053931504613,40.68162800151617,41.94237224128007,37.201276220937636,42.4965601522912,45.58878243602212,43.380769815289995,45.92362786283131,44.41233962717003,49.82939327513834,49.12822529547867,50.19734960998005,51.071260757317305,47.27940081713898,47.30598752505093,44.781972647125585,44.61055070963652,44.55273851529419,40.34738938886744,39.98669082455126,37.05398881651009,34.17015840699924,36.66630396507308,33.880544788270505,30.61941038508029,32.52063891936721,33.957523915208085,29.239149434149144,28.394495694550844,31.444850828715598,31.25297977468674,25.747699344088506,27.377955004995954,29.3757568922579,25.38647294716112,23.896155913792043,27.903747650068922,28.86850968067926,32.84774678217407,35.01888499622488,34.72092803837073,37.01286008468385,41.91993766978832,44.61513850469631,47.07218496825726,46.86555846891777,45.95025077594523,48.015744477480254,45.313687749844966,49.83105913967168,49.27415505551586,43.49400949802391,46.015415287036646,49.999323472193424,46.41476493271667,44.13758135605372,47.470417995820554,48.36983178813532,44.134249703202855,43.16784920898652,39.40119710509845,40.6809380176434,43.14779195871691,41.30765718507519,42.114438591847104,43.306328760325435,40.211325117731654,38.04852499626763,38.8846861517896,37.631299905658764,33.56364639019183,33.77492475175856,34.12251409959125,31.25313958265852,29.784341138234918,34.22065220073074,33.00416816465611,28.417417071725776,31.54066694308638,35.3962893755597,35.656417296248584,38.667485507154645,38.19811571610205,42.35955279157307,40.81144015346968,36.02919782743765,40.00698190714559,41.870366378486054,38.83560927111278,38.220166674699136,44.09357002721837,42.9942098792379,38.25721534286249,41.118465582474215,45.63549644464352,43.35858968925365,40.00012609585077,35.3746858378437,39.09914870209439,34.92253456038259,35.19928108405892,29.935537831841895,29.506185317378275,24.621409840136646,24.965722186331085,27.097675737742847,30.5724701792,30.212670888179126,31.950332980813194,28.201153787695198,31.37459726726153,27.95975437076968,25.541525557140513,24.13391591296115,23.87462595598542,20.670235890540457,19.391116280560144,18.816838466783796,16.712623084486363,15.498559440255146,15.094864086009334,14.130351697085022,12.05824121216076,12.687194919935392,14.163371708611187,15.765411036674964],[22.922686412057256,23.098530686048292,23.839973363677558,21.01077906263918,24.086556208003145,18.54451332878274,19.304243569632845,19.386470625831883,15.689373941507059,18.080447173085727,17.33406665936442,18.47247000027058,22.246716098470202,19.981521492632638,22.580790152924653,25.185149894339116,26.441905834038717,30.012503147729312,33.4688785897124,36.31719642864211,39.52151643746701,43.553158528739836,44.64700100152633,45.00564283107877,42.545342098771805,38.14232057310197,36.65525304410479,32.43295482683933,31.301875944435626,29.664700850220854,29.607449699691664,29.50078861719115,30.81997961991097,34.97145652597586,34.72327390618009,34.468675728086005,34.21161344429954,36.912156392893294,38.16294275834212,44.20741617046186,42.471427403705576,41.40927591234083,45.58261688745685,46.69087106085234,49.229032830777356,49.478599146784,53.39110249784829,51.19767996364702,47.819907816576645,53.20575292153937,54.36177369487373,53.245710733024275,54.64727244047268,49.17698937841976,51.84576223272741,54.83708076115084,51.49502132126504,49.06422948008011,53.27758703816582,54.72140685941029,49.967320502065895,48.86050067370389,45.61137741877713,47.896522566579975,47.041544721626096,43.08001203602532,39.53469303605876,35.647610595663295,33.16929201865949,29.25577665836807,29.097612721684648,30.126072604528407,31.310114443226787,35.89175526755444,34.69389702893609,40.272519728946726,40.85439019138235,42.319860245876235,42.75483226146515,45.181985023695624,43.48670280393728,44.79698368728248,42.26240309333928,44.57966418679101,42.11596182961577,39.39428910906346,40.569605202187276,39.3454760420376,38.785618576743154,39.30601424503324,36.52680024393154,37.794709341606804,33.779834366070155,31.17321405867056,27.165646877004853,25.444048950794524,22.028020930091444,25.24446849916339,23.32479994264187,23.837541988938774,28.295989091800216,29.050373335113868,32.325950750868074,32.29446640942355,37.664867476716246,34.1486257558137,37.44244682837396,38.15265916886622,34.51045825470125,32.53784852487515,28.409596219697622,28.469580527109283,23.959581496453406,26.047967470191118,24.265527396651912,26.347417086700442,28.32146194012366,30.955972637314886,32.599870538218994,29.01052172651563,26.717267287609708,23.825941597848175,24.770301244325193,23.19350762208192,21.231176441394393,25.897238479257876,25.06415768222868,28.654051713045106,31.620481234555136,35.47237567448548,36.87799336247899,40.49314092179694,42.019489075567385,41.050148237570454,38.72671669115976,34.65383855120724,35.19893516291941,32.78989747180458,31.287291780150422,32.67475134320402,34.6497806346251,38.439462350403815,35.853418480710715,33.72198111372788,35.87830883288933,32.48980803818073,30.44659290028288,28.0977899999351,27.87774809759965,23.657699713149427,24.608263818539562,20.699949775697636,24.206841358366578,20.209262849493324,20.603362182951205,23.969074589573626,23.70984433469334,26.561535911564892,27.636539896791277,30.467331695198084,32.511772408064836,33.8230968123051,35.09886853850353,38.454446880865824,40.611407947977824,40.5665565148548,42.91826433624936,45.6626592582257,43.594180168144064,39.92632384676556,39.3720259232891,36.686319780469695,38.23795734351847,38.19129259931995,37.42020845983767,36.86702575605463,33.85212655060666,38.5274579101571,40.12936963497082,41.310970069318195,42.50392780102754,38.237753718502525,43.6289655612551,46.661645021315195,44.23386999533909,46.28308000467261,44.34836282806143,49.869131144727625,48.94506938537313,50.45218257871018,51.565832765509754,47.89119098193262,48.30875303443081,46.029833901858204,46.14133926987197,46.38901611733612,42.17857685928729,42.185522129742964,39.54022714804965,36.68681602167071,39.60857868311021,36.8848427744362,33.475448715695414,35.624267198500846,37.35696094018288,32.6641028111289,31.68770400961246,35.04703432180227,35.07871427218209,29.560911446442102,31.245468036859037,33.46132765374102,29.54240458511731,27.939733793577247,32.02932607420713,32.77039053908402,36.99319598084214,38.721822456368656,38.486444504207306,40.97966982825931,45.803826640806314,48.65380678588948,50.96178620142044,50.7178368247135,49.60487668085639,51.557696939651656,48.65479396018889,53.085952830163066,52.66956194744288,46.743374084158795,49.05894207892125,53.04733522165636,49.48550140608034,47.009354147094605,50.12061474168091,51.13769320653256,46.93796862899533,45.54913784680515,42.15862858998081,43.238286954008565,45.906571254723275,44.39123977681457,45.06847754575365,46.49328051989973,43.1248644316907,41.02024906267513,42.27580225812299,40.903148740449545,36.713891709223674,37.2612941664031,37.79925080169074,34.94054552895259,33.57486831481687,38.16584272714684,37.039619696703994,32.5284428922853,35.704822961627016,39.58256666628674,39.73636869724299,42.61485139915299,41.90298095924538,46.069226318806884,44.730511090437425,39.78205585996003,43.55229828974469,45.55000131314087,42.536936281169844,41.589280665883344,47.523715817706105,46.537281895479424,41.59869318498873,44.220397303537744,48.88395381617841,46.65457912128992,43.14226607710244,38.473965890502775,42.12321191808164,37.89072579959527,38.59217749544055,33.25663945702886,32.93689203094204,28.135029611515513,28.20462116925236,30.076747484611758,33.372222988583204,32.80091208453913,34.75638333314382,30.785682709276085,33.83331431255583,30.074805263225528,28.516437619615225,27.041371153933213,27.243936699411673,23.75538114796421,22.282716449326074,22.460059687436285,20.368522210059933,18.239612349138618,18.48190577701629,18.215830933659035,16.038174868437387,16.067330306483825,17.144368308445603,18.752642836946542],[25.290704993632506,25.0572612329442,25.404765810644257,21.741143144934966,24.584651149429273,19.53147178841159,19.640868245946915,20.26053143801079,15.996485061737435,17.22770989696679,16.36420229825009,18.423338066160003,21.38609591226768,18.251775185337635,20.99912906995345,23.937120417194556,24.708739949499574,27.947694624906216,30.87304517903012,34.128792326573645,36.997739023720484,41.20281193799812,41.960717784736545,42.20424344769494,40.05423668909135,35.57102605138337,34.50558551437015,30.424009419049426,29.607780945303926,28.54407707060943,28.088953767870116,28.824987289841676,30.234206414520067,33.99837306967389,33.747725379839736,33.056044864119976,33.364784631776516,35.45382629480786,36.65921407121005,42.88354372537481,40.69701428752437,39.39456805629207,43.656138014588834,44.831920831330415,47.125713562940774,47.45303266363345,51.3811803543192,49.36393388361074,46.18183188202102,51.6545513186623,52.92041108307337,52.017264583816086,53.392785583720496,47.91081009416944,50.73608410709514,53.41717974757473,49.828279448457046,47.57187211490879,51.789374046405584,52.91071822290544,47.99865622960123,46.87442360009142,43.70629814756668,45.55804409216061,44.755557217773664,41.00547061699964,36.997106587285714,33.35841487640788,30.39103694936333,26.65542466173845,26.09418694492947,26.852437676108675,28.51657388304693,33.07512530069538,32.43407926925138,38.13710749252594,38.9280837854,40.73431832524449,41.29770174317714,43.72883186398804,42.473823576339115,43.78163373396273,41.75385222675401,43.97709876972756,41.2030199490444,38.509040408914736,39.23766997984896,38.45034389872915,37.26979605044269,38.117127432778865,34.950520548659604,36.05071577875103,32.16577531339464,29.96354236943113,25.932199419688732,24.17129347208805,20.669448717676566,24.77959627214448,23.326981763097713,24.871284794878818,28.564612608218543,30.01761256718329,32.58796329176587,33.056586506871724,38.19063101010783,34.82128032504776,38.459254244328136,38.99383336480995,35.49676786067372,33.62928745651403,29.409535925525386,28.732940857994315,24.05055886335537,25.3965711498325,23.005649727558662,24.628228654357745,26.25384585742123,28.50750210611034,29.79815125660617,26.533532437747994,24.009283148774195,21.454371078050208,22.401126293729977,21.418835264507525,20.173391350349544,25.140165231466845,25.410871047931415,28.753663379174863,32.02280720632059,35.83241276266127,37.16144987972651,41.032548548675976,42.09470453922057,41.282791804005846,38.51637054716728,34.258899277788,34.81720259768565,31.823202589811633,29.8316479028055,31.22255018539546,32.50988084252975,36.16764357575386,33.64124027397297,31.864694869096677,34.18611835848436,31.02248637399187,29.06061242355226,27.236978947282008,27.61045382399106,23.713613114353695,25.480949704374424,21.91668170956837,26.00202440259611,22.689271960711018,22.297286723806987,25.206534304878744,24.258341135479796,27.35799558055852,27.665150331234326,30.72611912504798,32.07047867432275,32.941915029358405,33.85347093154029,37.3259419990496,39.537723653550124,39.159119090472274,41.931091873087404,44.461570816604485,42.654892454823774,38.803324593610114,38.551961110946934,35.70834262655008,37.51184744977808,37.62718091759593,36.945473113144615,36.81256031767034,33.551317914020665,38.549372271454494,39.738965374680106,41.22565013535203,42.05523452078328,38.25644686617699,43.566100468288624,46.42742779863508,43.748791870765864,45.414524411172586,43.145350098717074,48.64953614411973,47.335346756704894,49.241752250738685,50.47178111201446,47.00182859516283,47.69586139432005,45.64219133668125,46.014175167903524,46.489017706706235,42.24162280433627,42.694878284727224,40.312123817399645,37.677245209503106,41.00775303530059,38.544801728185305,34.924215323450596,37.13074834238262,39.29779208106813,34.73558455157529,33.35909260370927,37.094359832603416,37.61789053000656,32.0064299276711,33.62773342307615,36.196835157373236,32.50458717504504,30.58129879061533,34.749513824158406,35.11076014866388,39.723698349786716,40.69830008512805,40.60657112811444,43.41431734739566,48.104709726053606,51.17883406817998,53.27097693772214,53.10332532086391,51.75133343636848,53.6472052672963,50.59537595881932,54.84562298828486,54.46742770537031,48.384173830657566,50.529755718538325,54.385083573366956,50.78307398981633,48.145165570561275,51.01135223255551,52.00666607640382,47.840542996900076,46.08812653860597,43.16656306107772,44.24479726377572,47.14553555498373,46.07192307909118,46.790130566975265,48.59971741464431,45.0407619169828,42.78854761193879,44.55732975267937,43.2952720510257,38.88409727867396,39.61238187655759,40.56740437408745,37.82578816201733,36.325680868761815,41.091698348236804,40.258978505611665,35.79217936519174,38.79810066129898,42.73583496982286,42.59968231094648,45.351480466185066,44.35831676661845,48.438774777237896,47.27288368963446,42.08172939233852,45.597273926510084,47.64322379702294,44.6238508221477,43.270787517117824,49.22578021254863,48.29854028020788,43.119633403416806,45.4644420303036,50.23674801685409,48.025884440887786,44.33920308677651,39.65551962202374,43.15087686534418,38.892748052164116,40.13097293049786,34.761509767793285,34.62123843522655,30.026571730547616,29.692827471464696,31.219884220998757,34.23726748029898,33.46803395086293,35.72422516490174,31.672633444200418,34.66147925685988,30.661834104049223,30.087139270236037,28.81322312615034,29.54160150017231,26.121065185701138,24.082255404882126,24.94581359724418,23.25677790131213,20.188601226541074,20.62967155309384,21.277528547467742,19.485248454520764,19.131072445121664,20.257160903168767,22.09547167787576],[30.602853624881593,30.43228756456384,30.414211465960975,27.36683167185221,29.311931261929708,23.822499439387755,23.220414028388824,22.58137931643702,18.122099707619466,18.901368317017322,16.664302029779975,17.770077289221483,21.651657885704502,18.86718246009301,19.880177149495648,22.93464921344704,24.83671215643773,27.340546551785994,30.677665232313192,33.752296532546985,36.55073174533309,40.78791962203788,41.68821562391033,42.543138113257136,40.48170837572218,36.09057329412789,35.19130102253812,31.17019002680754,29.508262414513318,28.051708249355997,26.09450868493049,27.159582885016302,27.517949351866275,31.134648828773752,31.770587286551084,31.736581571535428,32.44068790346251,35.23176432362386,37.0763457028952,43.24803354028762,41.57988454624667,39.5119077874048,43.468170707247026,45.19803483981029,47.78041293508815,48.674397678312545,52.37325696607592,49.8947345682373,47.23364501975086,52.90255492769691,53.57415720380857,52.54405013979841,53.39284886765472,47.94668763190506,50.209778162099184,52.78323955582095,49.35502179661307,46.610334384951805,50.50533840129487,51.983305413730015,46.959147088251505,45.1411947801903,41.62309124095402,43.695112246469314,43.509760771185796,39.76666979483647,35.7609857731785,31.91245288602819,29.34826664264995,25.156979131708976,25.06050682601255,25.23819420019291,26.270526911104415,31.04672869713486,30.121124024901654,35.19365568899535,36.72747624637725,37.92186159515087,39.107994049345926,42.06093802483676,41.086162906786974,43.11897709208881,41.16215973245722,44.08871438281071,41.64161817135358,38.35297812993952,38.61893530136264,37.15605965520573,35.78955764951842,35.572803898744596,32.339340686849575,32.689971098838534,28.781373328527025,26.53552222342382,23.19370532447294,20.608932161264566,18.038113724289442,22.17780413798939,21.44933542928072,22.902444137429757,27.015602396659457,29.43145929770435,32.033120771160156,33.4727984918061,39.092009340745854,36.42572666572978,40.26450289054371,41.456238893733136,38.40889464561279,35.87587988540725,32.19626406793803,31.218522740768353,26.60657861835813,28.092849149465206,24.994982462483183,27.11735991962776,27.872067764279734,30.636569787955036,30.81198113588529,27.037505106185883,25.189415830603068,23.027584029438422,25.25580315317611,24.57400971692438,23.649034356445625,28.75095257408821,29.179163668976546,32.101374405763664,35.29225013028902,38.4465182619758,40.67011189791486,44.19437218826636,45.175682302315465,43.65683386566274,41.514623721294065,37.25513715154481,38.731449620378385,35.508963811197006,33.56796673535521,34.18960527549311,35.5860029274355,38.62894141640798,35.49324202991666,33.92167277164945,35.6738395196985,32.008112973627206,30.65225648477582,28.49130041693534,29.08057890966582,25.242293386519204,26.98907029383189,22.73717323297736,26.185072596367757,22.387166755987582,21.13537248216958,24.443909761949573,23.98555573792536,27.753450178480904,27.793577704246886,31.913247078799724,33.78983585310405,33.842359673898386,35.768042974659956,38.58988758643609,41.58711366752313,41.98085730697014,44.87350122491614,47.7549589717738,46.35424973399344,42.46067953429735,41.93877810166503,38.70703573332488,39.757680576639174,39.263812683454184,37.92842858174285,37.36776408976081,33.585226749755456,38.18240334112949,39.97141166713813,41.688279435791024,43.231145447956635,39.83688520932278,45.4192903081929,48.457750094290574,45.890477344598274,46.97570733918994,44.38578203415984,50.06998964269581,49.24432342017094,51.339505041695396,52.99883610040088,49.41511492262782,50.59089596979564,48.77543211166578,49.323268108371195,50.171873072717894,46.213072718180555,46.54102698441456,44.49342431077325,41.3768580077086,44.835000563786735,41.899694061477334,38.55830374171201,41.39874888261949,43.210502982054244,38.51929104128918,38.04180946185033,41.58544968986725,41.39192860197358,36.24017329081805,38.30209920342391,40.54728602380462,36.52078800253616,35.38025208265492,39.61822507645398,40.23740158270731,44.44724033511467,46.098535499878096,45.568950665272695,48.104544780458454,52.74437954331499,55.76837368186872,57.798455790352286,57.1489802213068,55.724715061683575,57.29805996605197,53.97725292647675,58.36151046442018,58.434770044425264,52.399634083925996,54.22297776385948,58.44833263011735,55.17782718275274,52.33318238479183,55.053927242495504,56.62072877942117,52.62528892830944,50.4305369092162,47.50259985573034,47.76205216909586,50.582666412210266,49.38878167366745,49.527432134581105,51.04052637262925,47.191813881072065,45.57764580140482,47.31282467892161,45.430623678142766,41.32842859645265,42.63816553896513,43.13128678011546,40.22292380059502,39.42134412760087,44.150673096487715,42.93979188815502,38.72066596631677,42.29204625939888,46.09224002311145,46.32787271910806,48.845975347551715,47.7404306366859,52.00433502872762,51.20323880566163,46.192220703977114,49.573485539048335,52.006036623008306,49.20170955925682,47.821542412862215,53.816896520273765,53.301810617627474,48.235287890425305,50.398135033269355,55.34646493838785,53.46657894841864,49.856432452359314,45.24440474722807,49.06797306077445,44.95696517134219,45.966357028739466,40.583663452257305,39.965965933724746,35.166545818280966,35.44187717288917,36.93750850111674,40.10890012877212,39.06351422855393,40.83717508431439,36.36578290888292,38.84613282512106,34.65419629602164,34.057488859346165,32.063634044331664,32.75518838244113,28.585026630572564,27.614585104336008,28.810701161650062,26.234783994477475,23.37886631961639,25.093765015883978,25.219189786139435,22.339784565105585,21.46330602289989,21.54282096111379,22.85525287165399],[30.563282151021976,30.151169421921935,30.174546717359686,26.185291519855966,28.531127143179994,23.770758145601434,23.14379869975449,23.650171119673423,18.991740588304207,19.002230622157406,17.434982275168785,19.837383843954342,22.378595178488183,18.59687431474402,20.57430579546642,23.86662713822699,24.635450071655438,27.07018937540164,29.50833284866913,33.14225059642247,35.54088119924407,39.94523009896813,40.35495198761838,40.75275590787431,39.04565165096894,34.54379694992698,34.07577506094496,30.23609409923042,29.38396688274802,28.768968488874897,27.145476911283918,28.93754480739026,29.89617380152553,33.129742689390774,33.33073764857829,32.503873312877175,33.60118710141899,35.35998775803435,36.80650337068638,43.14640723437565,40.72875852146236,38.805809334879655,42.990218975810805,44.49711442372903,46.63352080504094,47.307188008869886,51.12554131728303,49.10662070905445,46.398807213205856,52.02072288512083,53.12985203534146,52.395480089163925,53.494143481999124,48.04693110814048,50.75628667318232,53.04123968381176,49.2789401026792,46.988504454708384,51.02997516624407,51.965182951659244,46.84039075762188,45.35003801094881,42.113119490455624,43.548977621335354,43.13556931594526,39.66501523483293,35.118104304039186,31.7126990735181,28.3530253504433,24.655610958086427,23.79148124511257,23.80467386999147,25.812851511371637,30.426520013645224,30.372855002555642,35.83926108243223,37.28074900235838,39.146774760997346,40.1779854304901,42.86255608783153,42.22862085763642,43.8762086638624,42.40844646706682,44.85020008745282,41.937614106640325,39.0180087910835,39.05436231208362,38.40655083615552,36.47914255907005,37.13702487282985,33.5318215865375,34.01847870786982,30.318613116591358,28.591980095087482,24.96703045393506,22.768556878035536,19.746991508550263,24.71972741675992,24.09476401091041,26.44686210735131,29.633647843632147,32.10643978494728,34.06316454549559,35.39360170069378,40.49912704191148,37.58082047517462,41.559169566074445,42.21647427933318,39.036632093101815,37.0002080106632,32.95994572726012,31.57752215913717,26.851790399675316,27.57416071835777,24.341061834324208,25.66589721019037,26.475368099442584,28.47560975260766,28.781828282130633,25.727577831124826,23.2879990448723,21.4074942355045,22.92533084077932,22.775637533937633,22.429429857915427,27.600031175010052,28.879416500066085,31.805808483358923,35.25892467732925,38.73727521536478,40.34192224774806,44.26784428047337,44.8899049625392,43.938275962322436,41.049688202752456,36.66483309595074,37.58880684381783,33.99438997806949,31.565732331283257,32.62266666842863,33.188308454687075,36.3843611721727,33.68848387386846,32.42926834342165,34.64732157947985,31.538155237103616,29.966489527407035,28.55423805656393,29.577488229396273,26.057764643365413,28.454839879958307,24.907239489619183,29.090239648652673,26.037742150429263,24.76611178182617,27.482755366956052,26.218561993094763,29.77207253603706,29.303455130229793,32.99494777009694,33.92403044201467,33.997927393809434,34.98070855694456,38.24786682163455,40.838739333878756,40.44821116503677,43.67209663789814,46.10730832740244,44.73675793336149,40.72334229937225,40.66676527185078,37.54281279345402,39.25985835765593,39.269251471755375,38.392431598414674,38.46396144551156,34.76961267353859,39.83817368764609,40.90489007643793,42.771887639581855,43.57012547984815,40.411081876064955,45.72387597347424,48.48326307269371,45.632496751916136,46.66391117087415,43.93006675351028,49.45964404053149,47.956419431329735,50.351590916560106,51.87429110246569,48.58449054511326,49.74243329017793,48.010884629304925,48.68971532407245,49.509016953603854,45.364064587412244,46.152538105572646,44.12093122929689,41.50372810912041,45.17532488713476,42.74513269618364,39.090066995179306,41.547078333812976,43.88981809075355,39.386671594649,38.0420343865209,41.949434261846406,42.55338961563838,37.041063796182144,38.746688309436045,41.41646996757975,37.74922614130344,35.86973882721191,40.080139515937084,40.30707429865247,45.024586570989484,45.72796625813741,45.626435302024895,48.54637885330481,53.13550962960073,56.323724592895715,58.26742758713026,58.00764983203432,56.47493875351977,58.21964310796923,54.972621538015126,59.12830859584756,58.93663654602115,52.76953148960161,54.66897072322109,58.5392386088153,55.028884832960486,52.205874102905526,54.81342760348593,55.980528885913756,51.91405275927153,49.7273862479159,47.19952029369122,47.980272619587595,51.02356072032916,50.24720853633388,50.776427922210665,52.74921073495646,48.94740144423756,46.841302072076076,48.95719376054797,47.53561970166631,43.10094550722367,44.16729154897628,45.21798931978248,42.48663461585693,41.15990708743357,46.01343283089429,45.21277468628975,40.85005067532541,43.95445275415399,47.88143190470691,47.70444058000016,50.306640170768354,49.10057891710355,53.18182330387806,52.247412897945125,46.9683905632495,50.26467437676904,52.46155513485323,49.508719231084086,47.87639251512024,53.839115462567435,53.07388942935583,47.77709952721227,49.858875674381345,54.743037515251125,52.639724000931466,48.86228797080213,44.20943927970542,47.641224133651185,43.41590175984374,44.969300373220754,39.60576378355062,39.485704225232446,34.99328259970173,34.547761277891674,35.83630425502078,38.66482208330988,37.69161637287073,40.02137682448848,35.813171622116066,38.557240971420576,34.335602051878645,34.48784443976798,33.101253438335355,34.15399181729414,30.508278280446586,28.524239799057703,29.905702197789854,28.13017167468487,24.630295390344624,25.61631552550096,26.543289344217122,24.55457874327174,23.850138680331696,24.600055772577324,26.334495686503885],[35.045642455669984,34.66440495998314,34.58703844534313,30.684113490569384,32.727121022722066,27.922161345447684,26.961418328377174,27.076871095197426,22.325659597837177,21.87566730299244,19.709119115866123,21.841444078956517,24.45563122085947,20.64835193335193,21.63995283921068,25.03397509440455,26.159458638527582,27.89560664440983,30.156494722146938,33.87519364349248,35.95565446718222,40.42920750187663,40.68314396033992,41.361077860121604,39.949351619890834,35.52419997310308,35.428828269000114,31.787907958783208,30.6604830654339,30.134413997831988,27.446984171074604,29.839629444144176,30.178175781257433,33.03185232896327,33.792239474562514,33.14776230279178,34.745611848335365,36.565669927916204,38.320181390754925,44.634133106766384,42.294136435012106,39.83586763995909,43.83767583003026,45.680397201129566,47.809828715320855,48.829215627202174,52.492571053856715,50.3442310412472,48.05524701226305,53.770522577042094,54.611277306240105,53.922278229106595,54.709467779808904,49.32613252554701,51.77243179091327,53.81090574143759,50.03959631361546,47.581534230984836,51.39135946809145,52.34585552767365,47.10483776420723,45.17926648447347,41.804742466941306,43.06571902997659,43.10100390756916,39.825474003139604,35.02424634440244,31.73374646281056,28.344077121413697,24.595808051311824,23.73217192266208,23.033103065947753,24.99775906518697,29.638582926083764,29.854879434032,34.85499581270676,36.94957680342007,38.5983490272659,40.11191289096372,43.09509781460052,42.88260910516546,44.93317718786381,43.759480319447576,46.51798603101863,43.676023915443515,40.485300633000065,40.040068522160055,39.22970063022573,36.88781580858219,37.04683555285528,33.2267466918616,33.057692212138235,29.517554424034103,28.083492405261364,25.03512156173606,22.341357225628368,20.055730938924935,25.298359028086008,25.313618117882605,27.877200328429918,30.97178957702949,34.12173682844158,35.84848992719576,37.806513323540905,43.028004472610995,40.50900418450951,44.6392552390998,45.53959405968841,42.600951679562066,40.32003721353503,36.51103111022604,34.844549780545286,30.165295793876314,30.724325227125156,27.035823840452203,28.366022421332325,28.558425208696328,30.549262214063205,30.01925182611876,26.98743243349728,24.868744700502248,23.487620908992096,25.577214479199696,25.84133767477709,25.891713188480992,31.098422394325716,32.70789719508002,35.38445777507501,38.853661240844175,42.019960409518056,43.96719298484201,47.79911281099952,48.24750061209311,47.040836306573574,44.30714066204235,39.899954646771896,41.19892618315096,37.35330375223343,34.79495550846152,35.50167636831204,35.780489714913024,38.5531424817328,35.637013787133434,34.696056559645996,36.66885754333221,33.47046785258595,32.27731045866679,30.94809906065648,32.26462444193878,28.932496295723436,31.482885266882917,27.755179360277797,31.698541878818347,28.5571466530006,26.796598642343824,29.55748120686035,28.38491118290488,32.258629666798385,31.44462601382623,35.66150205380908,36.60094281067388,36.10302569797552,37.41845213706144,40.3658875077373,43.336370582523784,43.16717463394205,46.592711806189314,49.07061589895531,47.99567501727496,43.929039982880376,43.87777720741648,40.55812649736403,42.010763534967495,41.792980799205786,40.63918923791002,40.651161301570035,36.6487224281876,41.557050340182506,42.769265593219195,44.85361820026953,45.867558061797,43.10507253623205,48.47472023033762,51.23699187565315,48.36637850434205,48.951352490724354,45.93147578582923,51.491106770807065,50.056875734949585,52.71881685339833,54.489500531779,51.260290348595966,52.743702024354334,51.21444766931254,52.05642804280425,53.1009249854613,49.08084516716127,49.943515702694,48.112508262180626,45.37161749578999,49.16335864062773,46.60476682223369,43.02866170670096,45.71777968742002,47.99591757766573,43.46514940616499,42.372559466247345,46.25884340621861,46.667826134152186,41.291917917288295,43.12300496314372,45.71002344457708,41.935891390817204,40.26236352598878,44.48942583027568,44.789571308871544,49.41312311251556,50.26995396114179,50.07625933545421,52.93937708277178,57.5121886223336,60.69001129926819,62.61358932476398,62.20733619862174,60.62424132713268,62.243055040995024,58.87198782512961,63.04389147774904,63.03067008179193,56.85956513909801,58.60336360144976,62.58054123931273,59.18712923431088,56.26010879789658,58.751204580723,60.11950704911042,56.12830140575235,53.701814494389815,51.29135386196444,51.75878468649918,54.81488411778822,54.08188497059246,54.38175616528919,56.2947268650793,52.34335549544992,50.48492619357625,52.664994788676744,51.00368360765357,46.675649761395555,47.994949590795294,48.904037727495606,46.11606903619194,45.04740500876955,49.896702883896985,48.961163846003984,44.68448986153192,47.98767577227933,51.87114594590201,51.8187854552554,54.339576989102774,53.071972856840894,57.21143111281801,56.41937635338816,51.18012685829468,54.40389870218846,56.73703003302854,53.850484212629794,52.16199719851686,58.1388248428936,57.50726349222051,52.212121185998996,54.19459498011565,59.147852951975864,57.13888226875073,53.35600886927384,48.72295243223034,52.19614311123036,47.9972421966097,49.56486935751723,44.1989667673956,43.99706898946684,39.463937909037696,39.12557011494588,40.38232030907356,43.20417304184274,42.13731434212331,44.376386981053685,40.03390854711017,42.58219987586756,38.259287389666504,38.57700720428793,36.96051291056476,38.055667295159665,34.1405326669529,32.49675491264177,34.03541973925557,31.97420861173696,28.50340043090227,29.904882226478296,30.674694503333605,28.332571099346204,27.46724118938668,27.822126808005567,29.34199631557778],[36.307984390588246,36.34739708170621,36.76260228671005,33.201031692389876,35.69318676204081,30.522891677267676,30.015203105466277,29.826314150885654,25.240133898636607,25.47593982780027,23.215412359478897,24.73969332382875,28.090821969151257,24.689115641701814,25.442497833913002,28.73621553921041,30.32273712149847,32.13666588358753,34.69048574134154,38.24735944836702,40.43050707622229,44.8643265269293,45.235102652452625,46.048915625374704,44.577073673097544,40.17522931649185,39.95607670290503,36.23144011655368,34.83972287922951,33.94086986182895,31.097047377145888,33.12450702076905,33.08378568922321,36.12220938413403,37.19632190389858,36.9630218763951,38.3632417793443,40.66455093519273,42.55706890984445,48.82155457141388,46.738083258508645,44.25572308087856,48.18248591798666,50.104694518253076,52.3711807466983,53.43413667538093,57.077488001179184,54.79902546137651,52.492982776527526,58.216904103933445,58.93733284273205,58.13082309920362,58.83930140417686,53.451908904253955,55.711733931218006,57.87301945140189,54.23826236596066,51.581533973546215,55.3016583828,56.48391415804516,51.267763834275755,49.137417564724544,45.61735665065314,47.08292334949534,47.30613173837715,43.96724366214221,39.31014684600634,35.88810785372386,32.75355462612334,28.841631738504592,28.206754166982353,27.385675052854346,29.057252974417057,33.74582077258173,33.72456112916919,38.40885179874837,40.7318058480931,42.00738775398467,43.70674493283221,46.865930736696384,46.522174002713825,48.769152233784595,47.326373719141124,50.29838151023331,47.66156252697205,44.330863711708815,44.020061538064276,42.81523426359245,40.72748445013265,40.381188253242726,36.71619212099906,36.295335528313295,32.7023854288531,31.05661401730529,28.280584175393646,25.279911597191273,23.35028822756094,28.116820026129226,28.025779388603457,29.853727873844267,33.6837847098856,36.61156540663289,38.86628780132603,40.68313802456101,46.19776376732572,43.62441722257141,47.57454610402005,48.6427298458193,45.57295972966913,43.179150685296314,39.39135766550687,38.18440430293374,33.50881599926285,34.52242815387466,31.0771215150665,32.67425016892323,33.03524353705579,35.215266136305836,34.761004854488775,31.547938821212714,29.53586559583568,27.990146769175876,30.087211603467424,30.065815869364002,29.71966079935258,34.9140950778164,35.90289729619484,38.81989304966682,42.16133906386836,45.410229096097076,47.407438816565204,51.13005160672193,51.883384169791185,50.56364639890459,48.07535873671914,43.719362429444395,44.96863721900503,41.399680953072725,39.02750398922375,39.80568184149091,40.36727797857171,43.238914051141315,40.27240884871689,39.183629790545936,41.08490582357708,37.70347938752368,36.49194807474138,34.83406038102146,35.84240690792548,32.2344382061761,34.30741884398463,30.1836119442071,33.67410718606791,29.808621550019517,28.460139969209425,31.733491936021853,31.136563906621443,35.024517386668315,34.674615468701184,38.946871540211056,40.37562891596386,40.05506380162313,41.652703074824494,44.53372127202987,47.55554286667781,47.55133222103739,50.808100831730485,53.39308967944879,52.15627207448129,48.140745924469954,47.96174022118143,44.70186516958348,46.04181953527557,45.702110674675666,44.42458057910946,44.12731451111141,40.15043822568475,44.8314862037919,46.4211753113992,48.374914020448664,49.70862957481325,46.67795678350763,52.17034495132389,55.06860548851477,52.32434540076831,53.084392426819434,50.181924070212666,55.80210090397749,54.56609227660758,57.07844829767021,58.81732496914176,55.465666656064826,56.8185587002913,55.148497497511464,55.83830218933898,56.731260493445696,52.6732930347487,53.271419490042675,51.205005276523295,48.334787728141094,51.84125980795149,49.09281196373993,45.632599642677484,48.22405811738836,50.204998764592446,45.545993723207275,44.629986142515214,48.254376607200214,48.32387239892907,42.93489290572064,44.71562247519711,47.016894522762755,43.065236460601376,41.4973615222702,45.58554768045534,46.2377529081941,50.5722490927792,52.0095349460459,51.867791539886014,54.49261038040772,59.24384888890253,62.1677557290198,64.3777116155047,64.01318206030228,62.68551318751392,64.40871579632943,61.18814107057103,65.52545181020056,65.42842611450942,59.36282526267593,61.29520547540791,65.35624669135244,61.926623511087364,59.145522283902636,61.85221090542212,63.15235134099833,59.07733979020335,56.97731006318027,54.21745059775385,54.78045754040001,57.68798269473799,56.60383200089764,56.88512718659,58.468512534260185,54.654012273485336,52.92642281615853,54.66716215859633,52.881866606722916,48.74645292180226,49.90669254510059,50.41908449061432,47.50124843936012,46.55313331189484,51.227928826941195,49.97270148536427,45.628694232526556,49.069347136671865,52.89688485178661,53.136847054134705,55.84213984247273,54.879745562961375,59.09820069062229,58.06836913700441,53.03497579331215,56.54073922119609,58.76184902596605,55.81771720629537,54.50857636575067,60.48453277696325,59.67356071429987,54.53985748278703,56.826503246683004,61.65959967914092,59.495376095610986,55.814935349488515,51.132490136937164,54.58119720049906,50.28181587821403,51.50069263883589,46.150031163927665,46.035184438061336,41.35708427126629,41.096568332716366,42.69198271828076,45.688071094315816,44.88624880254168,47.096778889860325,42.86831741397576,45.576834745345685,41.3826214590705,41.00216508600898,39.268595694159494,39.94348199613889,35.94270099457587,34.70610611627585,35.66591535302759,33.30148521344781,30.54884495695087,31.679810019714914,31.72228324368368,29.11431151255713,28.602472767596776,28.80755719486639,29.996214040557224],[32.38078694092525,32.50759458102653,33.21188039186525,29.54522480742472,32.52643148937271,27.45450665222715,27.396194422020564,27.63910772131166,23.18715109111143,23.8808411638487,22.184054104093292,23.962183206150595,27.226549509234196,23.79448025752396,25.412236102520144,28.655448822657178,29.864242538913338,32.2433605234385,34.83641775411172,38.407718641558525,40.80159028270587,45.212655916041676,45.64015602318257,46.1555358810951,44.49546279338611,40.0105377710035,39.54319301604548,35.67499631672351,34.59938445476827,33.69503570554374,31.746212389318163,33.33644086485095,33.85322533105653,37.20620146051523,37.78687822150103,37.33690589748626,38.34842039643031,40.516443129341084,42.106372241931474,48.412300430146246,46.17659918434911,44.16826252046705,48.281196310468594,49.88901452525527,52.10200136640988,52.83267205369436,56.624540689581245,54.523967418682396,51.84592403649046,57.474946551945564,58.489910652431675,57.676583333690914,58.69054239108006,53.243845875947144,55.78305563879871,58.131812038664904,54.46347561995816,51.99639827752634,55.9376897159176,57.04420435297992,51.904148704857946,50.168542627593006,46.78191853919358,48.31726454930193,48.146528189547105,44.67311102195691,40.13413716052391,36.662341906126244,33.430008755375624,29.59568606819911,28.85309193408943,28.527959980821,30.395489512483064,35.082859726482255,34.96600973550178,40.09853936897139,41.90069945085045,43.43038594719286,44.72487549419348,47.620071574399056,46.94916917215419,48.81845636330783,47.151373715538085,49.80545475543173,47.06677174198476,44.0076120105156,44.095042007343416,43.095644788751414,41.30373817928332,41.448727420981506,37.907583676187144,38.02704999285687,34.29718543240673,32.44480845212657,29.15214186763637,26.54447254457498,23.970389962843768,28.607178282100445,27.96655259839723,29.601726677863304,33.54510042155769,35.8444064354856,38.320161835690186,39.53338681880376,44.92380307515437,41.941514652776476,45.72512982077243,46.51862212289363,43.18004547603053,41.072692312455096,37.032535382247524,36.141465610859186,31.434131544368935,32.57352330622651,29.569906461153145,31.07676611698869,31.981979886256877,34.05687553341373,34.31178840498801,31.184274070796093,28.839400610198854,26.93407383768165,28.439538581100933,28.1163451334549,27.446147083010693,32.559421245719,33.22387138830122,36.41061406059457,39.73019304514781,43.323738800724556,44.905588276060435,48.7444812803395,49.66484082525494,48.654913813851394,45.960965248397024,41.632850226115096,42.42677403094755,39.104964415929395,36.81617907256627,37.98668254119023,38.69078500908599,41.955399999186675,39.2590782544416,37.938389952292525,40.109026521293295,36.870920514388715,35.30670763409082,33.64016044082353,34.39603881083143,30.62457441958171,32.534336447388675,28.579038850041023,32.276408720676415,28.398034167543855,27.5985916369807,30.884276534201703,30.220556900001668,33.80030630589739,33.78068883378256,37.535407469311664,38.90785597465102,39.121399957661765,40.32772881014406,43.53977127982291,46.164661951485364,45.85682285024566,48.950032015094315,51.42630352397832,49.89901598090635,45.93836080301459,45.81457183190851,42.77649843578425,44.438088259577356,44.359810700025136,43.37878870410815,43.174544675194355,39.488236132388195,44.341204108121495,45.75998997061668,47.52038768289403,48.602145576794584,45.206426563298805,50.6174592357827,53.48832951512785,50.74455412023611,51.92586656997199,49.27519905108387,54.844528138780724,53.46233498262045,55.7637501070223,57.24700665776085,53.878533574909405,54.904573431474184,53.04106753094754,53.57064610884015,54.21071578965752,50.00678439178391,50.55237943644239,48.24597074246971,45.55931656721022,48.89857815802626,46.31696525118554,42.771288247674185,45.03407137158947,47.07914455745605,42.45407832698707,41.19453616267159,44.81079374050351,45.11063777886027,39.526960804177605,41.0955878979596,43.45844876002869,39.623125400436656,37.747412020260306,41.75845195107813,42.38337642761514,46.8070209131325,48.09498930352565,48.1506731544407,50.82522682105791,55.63309288215577,58.51344080806779,60.8169895720915,60.68562356269563,59.46341785847047,61.36871520049372,58.32805125544926,62.64638289191187,62.30419343499728,56.259263655654976,58.403003026034376,62.30879964183393,58.718318492835444,56.08897832340013,58.93737164483771,59.945487482296855,55.77259296044035,53.99964384690371,51.1187258534402,52.09883480664648,54.98797238628874,53.846152739711954,54.40979404312999,56.04179180250111,52.41811372111604,50.40747175790021,52.03042137107164,50.522908123014815,46.28577200599025,47.11421424531517,47.74439776070976,44.874880852441464,43.620809577138544,48.264391364903126,47.11724661978504,42.63937081187055,45.84234908253907,49.718095185967165,49.85065305278208,52.70834810435778,51.88067139767655,56.02706727108895,54.76244652084544,49.70998529673484,53.34968782550184,55.35558307855379,52.305198183482936,51.12202508307724,57.06417451874972,56.020308915454805,50.900788058579685,53.35436820169404,58.05800639238052,55.713952508111106,52.04532561517137,47.33635247219493,50.63735386660238,46.269625678220294,47.467994233283896,42.148199116611885,42.24875427969551,37.63857485055546,37.15668235977086,38.855571651448926,41.83062068464426,41.23005104672765,43.614726374389406,39.62493022012323,42.599604704739306,38.55416385516631,37.94702444560347,36.505761677767545,37.06993102438289,33.39207129480081,31.802543084887404,32.44490200033807,30.390532863289884,27.758513803408565,28.27365641179011,28.32975108338464,26.11819272912861,25.920902026276497,26.5532363332631,27.911152815579275],[28.80072699084476,29.13627613876416,30.060255033637493,26.874199620499247,30.03918894874036,24.668237899196306,25.0567229046495,25.086046114917018,20.963734621695206,22.492821060121578,21.044835494546152,22.36053896264029,26.133833447420823,23.255372509875887,25.141516456624675,28.14539136609509,29.575164986391012,32.4623816126554,35.547773819245435,38.7940376509709,41.57902524448288,45.84972726852197,46.605512898233314,47.119622149052844,45.09305948812456,40.62115655207121,39.69175752158504,35.62406603190855,34.40305539143216,33.059511389866636,31.763663045928524,32.563949524945656,33.25437539482298,37.027609718799,37.396148272891175,37.18035387248464,37.623706079691274,40.20646560049021,41.731796389393665,47.93957529420025,46.003698694221406,44.34701293290357,48.473974688759114,49.92163438001113,52.335128947136674,52.89678094300986,56.73914698682757,54.53535832393857,51.563641840413524,57.11557629087682,58.135155198938,57.14784521567948,58.28674431098894,52.813076764793124,55.33625832495964,58.00345739968141,54.511097461663,51.96926644183915,56.00341556450472,57.34502220159081,52.352850242376775,50.79064827389104,47.385739521825435,49.32723243230949,48.93876988575467,45.214794297467115,41.11111633004125,37.38151538494546,34.525149752305616,30.537964240636374,30.116087176152117,30.31413411636041,31.80763044820073,36.53423436403428,35.86713631301989,41.12653270899895,42.51097440919282,43.88565600882595,44.89922771337057,47.68539173664471,46.54279893418355,48.27337782384772,46.14928736408949,48.76723312313795,46.21448279834632,43.217181462200124,43.78579648094434,42.53412923985242,41.32549057241015,41.43159820557984,38.23543946290375,38.7471569719125,34.83886882923714,32.573703495444505,29.04766340171884,26.64860413543341,23.8207835572471,27.7946168067572,26.621609896469312,27.55841498878063,32.01015286722801,33.65362879426085,36.64753641886344,37.346100686242174,42.85460382796132,39.65972054603079,43.18469952715776,44.024203948988585,40.53355004920228,38.42237362839109,34.37993833650809,34.01777359999551,29.390317980521953,31.056812079736886,28.56768297104341,30.41333604054159,31.77240104808279,34.16877386524335,34.98010797949557,31.55340781107512,29.258110574844988,26.89587502028383,28.247523045630587,27.352518085376587,26.06760914484891,31.025456346105294,30.90259431426449,34.314164016780936,37.44411435263446,41.14758281098026,42.700563547632775,46.39661162572728,47.67034334893099,46.617354979561725,44.17783277666158,39.96778154710916,40.670274019293714,37.79952537995403,35.88106912212396,37.14254339852512,38.45772049882368,41.967500796885815,39.265761107718724,37.56583524670424,39.70044960589006,36.30637953296904,34.555965299167,32.49015120765991,32.76923336796252,28.722396059926975,30.095102859859544,25.987380095361743,29.4140779282733,25.179845599233655,24.972526570822513,28.511099715803052,28.231017716533287,31.566224570324227,32.13081200913576,35.586510731373274,37.4159935183835,38.10236430666808,39.46950708035793,42.70826562667974,45.19196490444022,45.0690702550716,47.811778788009974,50.44806582472328,48.651371888592664,44.82166483278209,44.47180389039528,41.58086547493454,43.140381397151074,43.01411238412144,42.05256372050673,41.58558422847821,38.15230970720257,42.85552468973875,44.50356181274188,45.992695316900566,47.2557391397729,43.41942498337566,48.87805954468145,51.87035433280426,49.30118660225946,50.885039965267765,48.553911588326464,54.14358562017112,53.02974721605632,54.96072493948153,56.29361223968755,52.747907537599865,53.49131298446652,51.41281162263788,51.72190366184039,52.15522895640196,47.94374606170049,48.17079377701892,45.650397654864676,42.84325825530744,45.900102517126875,43.18395526541036,39.75519167935542,41.939925713530414,43.72817103441491,39.038048605517886,37.98268542573476,41.372718272660535,41.41120766869943,35.87791978948704,37.468686844262315,39.63606467650729,35.7001769175303,33.994118451632396,37.95848087432909,38.78566884308665,42.985724058763445,44.70460478924154,44.661489511259234,47.15162072318646,52.029158010143064,54.78312915459022,57.20409439693705,57.037273643915775,55.96629913607084,57.92442514723991,55.001428749648966,59.42646776326474,59.02915807870086,53.08722956777887,55.365132156663904,59.338275355196394,55.756796474148175,53.24783344445958,56.279587032128134,57.27393299866538,53.06687434872258,51.56960447722051,48.354051587621306,49.39248195213321,52.12813698653717,50.69763636733407,51.286391166778735,52.69359124452826,49.22874240692028,47.250997628687735,48.545512155153595,47.03226292978517,42.91027625543662,43.57215385854032,43.98936810091846,41.07472000954484,39.84569377999888,44.37781856691816,43.09808725330598,38.59471396787359,41.84601293906846,45.68519058862558,45.95788297595722,48.891627870867865,48.23868064390897,52.41879934283026,51.03413640291881,46.12590177972922,49.92223127501208,51.88021236897609,48.8316781709422,47.90157968962378,53.827027140702924,52.74160286267662,47.77387055021108,50.409682839265194,55.04228279594151,52.6906661821679,49.13462569208054,44.433453069006,47.8602576788222,43.51514830469061,44.36465478306531,39.05811907515021,39.026111071607765,34.2959256812564,34.066926415958164,35.96959989901848,39.13439873595722,38.6508538225214,40.84190496877432,36.90951072516498,39.95550184147042,36.07673869441372,34.83317201375567,33.32198910608583,33.572214041025155,29.930933905281865,28.59027792619816,28.818662802155732,26.61271124124686,24.49851844946511,24.82529047616817,24.42396167728376,22.09629411683374,22.137012799218788,22.821442538859902,24.09533957877218],[27.984938617184916,28.102095383181908,29.07010184692228,25.14208611646507,28.682420863350455,23.94270648188377,24.386663067891376,25.31903136260841,21.131112280509274,22.203444240546933,21.327800268669616,23.50290339320225,26.340839255848003,22.880680149389708,25.515348659962946,28.619448488704965,29.2285268899248,32.165518680033664,34.649746837599984,38.220772063589244,40.77061582512976,45.108386720730735,45.54894064999244,45.681790699939036,43.859328567319075,39.33767071010653,38.638925003582564,34.70094510046279,34.095506067957864,33.31411782757758,32.434782207953866,33.61786312663066,34.8176490235872,38.3863618667068,38.35855604088856,37.569479693112335,38.19207795426397,40.03578563096699,41.21541640060799,47.50783470606623,45.03799288524861,43.60260641711113,47.89878663439705,49.11260369921911,51.195839179166754,51.524038515740806,55.463862030202854,53.62906010491102,50.55412332082838,56.02549495324937,57.412785589692376,56.6338725328247,58.009004486519956,52.5435499961429,55.42892776489331,57.926478185465285,54.20918897089142,52.032057738243466,56.20285373291752,57.147789379119644,52.126297424756316,50.885636920758,47.71509933727539,49.241197719023845,48.60731364093293,45.05396393309859,40.65633230716887,37.23371980727731,33.884965139894916,30.28159381532775,29.374170231101687,29.59558416446893,31.702077754573565,36.267850501747525,36.13207786034419,41.714919250437624,42.90711178623072,44.78048992605254,45.594163114728566,48.12871731762195,47.152530049582815,48.53224208813266,46.71052330336562,48.91478722129023,46.02631995207616,43.35582166801465,43.84896136023232,43.20270627395138,41.68308327001153,42.48311350211749,39.07882051828035,39.8018979015533,36.01374344149029,34.04863839564593,30.244444707364963,28.181417934446053,24.96024144208164,29.425313214194276,28.237396645247696,29.80396238357408,33.58761083054928,35.18743632278649,37.73088607578141,38.25890683413778,43.35063815947861,39.92006954402754,43.513171053297135,43.906523152283704,40.29311267238325,38.607745387220284,34.281458855873765,33.67102162555519,28.9982599808194,30.13678115633027,27.694389286190432,28.95974512659388,30.476990633504315,32.30658117466894,33.38529126105789,30.498483870463208,27.787256888078915,25.555566174906563,26.24481747701992,25.62684041030822,24.66253191353962,29.57106756347123,29.988568162949136,33.424320666855735,36.71965426380963,40.69878428277151,41.715282662056225,45.71321419628262,46.7431884697345,46.16612322949986,43.156484014139224,38.88753442394387,39.092626713425744,36.033901783930226,33.81382703626815,35.464198658284346,36.2353109132978,39.91614431904337,37.60982777147637,36.07865466230461,38.570092173017315,35.615838491682986,33.65787470880895,32.11557413925173,32.63886705286589,28.821890120828023,30.626723263371787,27.090156033822,31.084835429372443,27.489258874930552,27.25055964057188,30.32157702685966,29.4380118856824,32.56458735705331,32.80873833653998,35.8563391404857,36.99205138162902,37.79663011600803,38.42129723487582,42.015232700381084,44.114326578605734,43.37494067381759,46.29629579259561,48.5772849118163,46.74681350469507,42.866534461477904,42.86231559401635,40.11731512032743,42.205153855586815,42.48810074317238,41.913283811400994,41.91355152107317,38.61061035016636,43.66099788754907,44.75727960268415,46.31204462391157,46.99092651703807,43.272432033373285,48.4980677331225,51.271456436136475,48.50794518233536,50.131918943275174,47.765661843077254,53.20884241536682,51.594328443671614,53.678460196494264,54.853231647460014,51.528000684573676,52.18836040400684,50.141294176286436,50.51420203923298,50.87817444734636,46.51884812508599,47.08012312984455,44.545157993974094,42.15808080153497,45.349048876685636,43.0596355800028,39.388747653618914,41.2274120935001,43.44230321190611,38.92841098604624,37.148614232978154,40.82236109004663,41.537882324227304,35.725238659992094,37.00496282135699,39.53238299645046,35.933015448103745,33.600524706926656,37.528034465213935,38.00129368692542,42.62874491846184,43.5223117570661,43.838407228468924,46.648705642202266,51.46724360128818,54.35831471063512,56.69597114914087,56.85812290449113,55.699474026587005,57.80252447178438,54.95658695210271,59.18587027419656,58.5564182566321,52.523256070508786,54.875400718217136,58.543069304333706,54.76375915916047,52.29447116485421,55.24867732896006,55.89423357222471,51.6297931705992,50.18877669282129,47.27343770982972,48.765450851254556,51.66305660246744,50.56029349941132,51.4849411742472,53.26611271812133,49.860122317761466,47.468562944708005,49.06352896524588,47.95079520790126,43.55986128833915,44.00475698238629,44.899430320064525,42.1505770537264,40.474324120047314,45.09991147149923,44.19264795408066,39.59203688367365,42.420640543611505,46.355894439028106,46.260258550693045,49.24951867338255,48.50936331218155,52.522272754583156,51.02816005806631,45.905655875441454,49.62240030461132,51.37255358846658,48.206235878018944,47.07678631624375,52.95798632690116,51.65975023914511,46.51794124083418,49.09553911439815,53.65484001218467,51.11694335452225,47.435059592312,42.71084943980947,45.804934195003845,41.37156291290199,42.66177192600595,37.38562386335472,37.77289786524375,33.323269909589875,32.486112250723096,34.219425032109285,37.09625975160225,36.699713464721505,39.340390494319244,35.664849122836195,38.93651005170633,35.08117339080953,34.39462263396835,33.4017752358084,33.94143467381543,30.76911391338594,28.593931351642617,28.966753315550378,27.47021576329358,24.827077625980863,24.527062968904126,24.84385317773059,23.331358606217666,23.470088833239636,24.70561723277638,26.35496412778848],[24.313978251629287,25.06707264215422,26.80410453046826,23.76892317248808,27.915799907393364,22.837936350299923,24.23809672289186,24.86578749675506,21.414851637532976,23.77054660483694,23.238267775147925,24.59793079026445,28.166512749712194,25.569728085384895,28.34019772965228,31.085909426991797,32.070582259424576,35.53740686732117,38.605766818167,41.749329876034004,44.73024570738315,48.87836036077842,49.70176139822146,49.8643899910194,47.64097205812278,43.175243642447334,41.93686529943187,37.79752960370864,36.96761746380236,35.58486948662149,35.389231470542136,35.56378032916739,36.8138979888748,40.86990783356068,40.71641152882016,40.33334809706364,40.2338125214501,42.68284190087688,43.80593940907647,49.9092293053477,47.87713694540064,46.866313000091395,51.12807771298172,52.15980383426213,54.48963504955405,54.610864357978,58.58627555574957,56.62446967566563,53.20271546554175,58.53597566281572,59.91095788526958,58.89692226223081,60.40960706057876,54.94439626081294,57.750649585786896,60.648156406450966,57.19326862418958,54.88934078609165,59.11997236780806,60.39646014602094,55.57302529173687,54.46525087218575,51.23857626964673,53.26203643114851,52.459600422341865,48.63210852356456,44.76489190454653,41.05126904642676,38.19319259128467,34.40532139961522,33.90090887067414,34.55713450035066,36.19484030335309,40.804738666176654,40.039225088686564,45.60994993497888,46.44892503372806,48.01661978777142,48.58696434672325,51.04424464452784,49.49114693734626,50.753290556720124,48.30870029865104,50.49914142055289,47.91880676695906,45.32248993949862,46.42953179591041,45.37475096419654,44.61571327678198,45.1956248411271,42.24150369998558,43.27566087409583,39.307371816619714,36.85804922248711,32.957295496826134,31.025592156867443,27.74101636465121,31.24617622838422,29.439428936760486,29.852446820300056,34.43402307823515,35.06117206501789,38.41481954483428,38.17242350090946,43.42286634067949,39.68397852255896,42.780251520105516,43.22948307110964,39.34569296380298,37.71912216145904,33.41621617356776,33.76943406282577,29.320263418995324,31.2681273628809,29.66158906193458,31.357200335198716,33.45491426466575,35.6474430585493,37.367798257730264,34.153807778277695,31.57017594450792,28.846515277575268,29.305968717618978,27.93570334521333,26.091350099402582,30.611355402648076,29.69323860848207,33.503417360611635,36.42836596993118,40.599888216576694,41.46934310630639,45.21951737977854,46.84605583166364,46.25456908947415,43.64641779403045,39.61628336102237,39.564561805683915,37.28381204273003,35.63601705951604,37.462623300359965,39.03044539418824,43.01649314270982,40.7543203243646,38.75340049631581,41.172108631879006,38.03883084201367,35.86475909650822,33.77933132186007,33.5800521639152,29.40452995921385,30.2651740037583,26.530850184315895,29.892921432922705,25.63367416468334,26.468337217223244,29.95923127116333,29.79003206623501,32.48876035800231,33.66256857741385,36.229214239132226,38.07261188514521,39.55577294104315,40.407869004339815,43.99964246078114,45.869809586953,45.35940208151666,47.74048228922622,50.194637482481774,47.93967511431687,44.30088443599451,43.99776192029573,41.543283879705484,43.50073944032037,43.72197127361714,43.17565987146151,42.7588462982862,39.85047096152121,44.582117946050815,46.061696762931085,47.203206325969504,48.17652107167554,43.81561405137407,49.064179410651704,52.00148211259299,49.52578052377133,51.74496630781206,49.849486952987334,55.279437604454984,54.033435521498504,55.590283244042396,56.522761202834936,52.973765794204375,53.17707333649267,50.79472723308245,50.79594135154844,50.77000017969407,46.3913962782147,46.42087605647184,43.45832237707036,40.96072034764245,43.54859686918414,41.08625255198527,37.64610611855935,39.16862234457518,40.893950327635494,36.30288955601354,34.747780797046815,37.92299287119652,38.20743389159512,32.42895581506995,33.56762622716271,35.66400415972739,31.92440895410798,29.723440337454495,33.40247602997418,34.354559312597544,38.518938381207775,40.24395239257922,40.57571651866875,43.00820887494089,48.018989158098634,50.556684691573295,53.252041557253264,53.50046770802649,52.729918853004996,55.016946138541215,52.490193894926286,56.90042312206929,56.06901096298196,50.27539564772305,52.9537962722051,56.66026393637668,52.83989223067862,50.67625772481099,53.989612076652826,54.46753980554766,50.117102030673514,49.31950015581313,45.807044039943484,47.55395227371051,50.15271959641665,48.503231983738196,49.5389483614433,50.86658876408902,47.82902631573387,45.47833417495743,46.367942372691495,45.2943737120071,41.170765701838604,41.18306540465495,41.618985385171726,38.79216869521976,37.10445182738453,41.41322909080088,40.19986563859126,35.51023374807884,38.33436575259018,42.17730841182277,42.392112589118696,45.63968218642872,45.36622885058945,49.40185966011989,47.52468107542071,42.74030139415102,46.84366186819031,48.35931851111357,45.13623954355352,44.612644791426746,50.40676556184349,48.85595108073776,44.04580794254117,47.073660800867096,51.38256814031301,48.680338265991104,45.23213392694024,40.524606364078366,43.64507677393067,39.188226850197914,39.80497101964728,34.63006802798567,35.027674822724975,30.439205623558962,29.854308695228085,32.094791142307145,35.25281974182383,35.2702801403838,37.69529049634743,34.328368851353176,37.82111626752893,34.36949215726303,32.447172404579405,31.45228176798624,31.295626213689715,28.34891853694754,26.625415857046754,25.93997571658742,24.276332361301158,22.903795547952885,21.855385132754055,21.06153898046052,19.55348301782188,20.44678228364497,21.831601876326534,23.18736931744489],[21.459722318457164,22.46847780494352,24.690191265552247,21.841837643186317,26.513600493858817,21.738171224943653,23.72771207145265,24.6986093333852,21.76457894197743,24.526446952994593,24.522558130425953,25.86792491448431,29.23732679057069,26.877248142170878,30.07297823935814,32.62389899536535,33.355392360413944,37.1182004566728,40.17729281676535,43.207946219540005,46.300521281689555,50.33943812306568,51.22406337851106,51.19461835220029,48.843448604247534,44.41981292666491,42.98527153343626,38.838472079065035,38.226267278637515,36.8216801260398,37.269717215211934,37.07365698152632,38.64174190005732,42.82791127541429,42.363080225353094,41.88968678909142,41.46558550562686,43.82540276170926,44.70604395715522,50.69799570415441,48.64091444130243,48.02547610039942,52.3343726832342,53.1178692717364,55.40277809663789,55.26746768480158,59.294461411368985,57.469656028274755,53.79582795483623,58.970689547000134,60.53757853243719,59.50921171432594,61.23311532721788,55.7973782998178,58.74893080141238,61.77871183708636,58.37137397479108,56.212596316195764,60.53981448394772,61.78362798499822,57.08773440515775,56.257909568517306,53.15273628623438,55.23575827768689,54.18523251631402,50.30585907517068,46.62713529301529,42.93355709754175,40.129140919684815,36.47596667091668,35.96044230932016,36.89859172925447,38.562542693579964,43.07525697166311,42.222076984172155,47.94486143473197,48.43971716757005,50.108307037172665,50.40380160673916,52.6496452261122,50.853424858526715,51.825554950548785,49.20246023155855,51.12401469909815,48.55148519074327,46.211021477486106,47.6354016962061,46.69857452589849,46.22091863983638,47.07600201531092,44.29051363784641,45.63845130226501,41.65519948257708,39.11160195605167,35.02579548182732,33.386730689498876,29.882663087853942,33.07735691173503,30.940658232600263,31.0811184959503,35.636300306616704,35.670382114135585,39.175321209141934,38.382291112073894,43.41416903824036,39.39035701535366,42.2008114040816,42.40719772134852,38.32781090187951,37.015033018442054,32.613087077904666,33.39147555093601,29.132457011858172,31.22372767105169,30.178647796842476,31.779509151027437,34.27918101712966,36.360321687495805,38.591647944772575,35.50773351516888,32.8190380172286,29.918177684209542,29.879059797719908,28.228404495383025,26.070164031965984,30.220093512961,28.811393006260055,32.797516993090085,35.5514525616152,39.95219096877391,40.40823343966005,44.15202581424369,45.98147550949476,45.663761484476666,42.98836392116845,39.11137184697995,38.61980401944213,36.73924453511985,35.3015173158608,37.42270162660465,39.167850537880256,43.38910316736333,41.3899358407463,39.21556599389343,41.75895825057823,38.79877792837734,36.40625234367453,34.32239477680798,33.837001142482634,29.660325906287703,30.203701468630143,26.786918082562277,30.064173163456026,25.93759720380611,27.3253701836045,30.68724582563959,30.56081530103627,32.83861952547566,34.34200950261635,36.345206186845836,38.17678178642863,40.11780876784647,40.67487468351124,44.429760203758725,45.924091990993496,45.21599588421728,47.34523601155537,49.6901623273407,47.17524799478314,43.68733334973061,43.39482412543749,41.22355914395884,43.38026975802879,43.797640739165004,43.49901697051986,43.11400878194201,40.54663447983966,45.25255570272945,46.616447377517154,47.541581593568694,48.337223190197456,43.69826907866052,48.77835852447992,51.665523835595096,49.268339109344524,51.85363927794184,50.23812206816449,55.54109856717991,54.24687095034072,55.55599270729512,56.24705664294286,52.70927327018148,52.587234749045514,50.03500626639513,49.84720114493529,49.547007378488544,45.10489562386928,45.00648319883157,41.80286173129588,39.50857814690547,41.795034261531704,39.510087695280305,36.09361048104426,37.201507642306105,38.88144796295836,34.396658823334974,32.545456619925595,35.566581972093296,36.01771062755014,30.138016443225965,30.984775016147786,33.039716139697404,29.46845761762631,26.95991050414741,30.44533175361563,31.447961176967855,35.58617049967091,37.28225211894436,37.827632929256715,40.224818850109735,45.28294284410101,47.71499350647858,50.5339554888034,51.02149481057004,50.41866049284189,52.885103810788316,50.59725752989432,54.972969247546686,53.89375390901399,48.20985820112559,51.10626936612105,54.64017302077931,50.69904976489381,48.74640385340378,52.208462839701326,52.388335318128036,47.976951753975875,47.594030949702976,43.92223933286775,46.073895650893924,48.5753503246815,46.81344293948275,48.11185718771453,49.40099940722609,46.63246677703628,44.066180823184226,44.727464518086684,43.937965564523395,39.83316459687574,39.45622107771653,39.930686559457804,37.193924511001484,35.22453287311998,39.374907992581534,38.24334099449454,33.482933786820354,35.99997629339435,39.827801479131786,39.977897399595705,43.385329985058526,43.32204825729649,47.24356263746225,45.09512518583217,40.3969504129721,44.649000370702325,45.89930441671011,42.59006294241272,42.30010509064051,47.98866919042139,46.17922561722276,41.482127037946256,44.721712401139044,48.82562917768569,45.938695973358115,42.57022153484108,37.88642629919424,40.82807356196585,36.335665654364504,36.7960641411865,31.726137117538006,32.36506685333112,27.905746550469832,27.117827883021018,29.544723762390568,32.68251571773102,32.99867597031352,35.52289536830724,32.532322828545475,36.252426296401936,33.10438521792161,30.793968195964194,30.13613586328066,29.746761697130523,27.29552763111724,25.34253448942622,24.11013375364222,22.86283660654849,21.960366813988603,20.05221946263452,19.060602308335515,18.19986684391656,19.591013040391076,21.396007972809134,22.799537129684712],[24.3437443374921,25.82295688584334,28.807248867970905,25.949296209310855,31.276167941471687,27.104288120034614,29.458588335917092,30.799022747335442,28.052198739125632,30.724367144359338,30.85436601530835,32.35802309135272,35.559794827582806,32.984337943615856,36.30310980723738,38.942405585057514,39.45136727396854,43.1418701346299,45.8830595936953,49.12301460427995,52.03404135861846,56.14157067022559,56.80289007974061,56.58138234871768,54.42535918798363,49.97865797288513,48.735674623803185,44.68127074583139,44.32812877004402,43.12879339837726,43.52486830194338,43.523343221659694,45.079447459495356,49.20052968876361,48.7685245663576,48.17269410280174,47.8521641714865,49.98545441287048,50.734139965746344,56.74526504964906,54.43666856067351,53.91009270708712,58.285571349386956,58.97253732475084,61.060997326203164,60.78298619671918,64.85389343785971,63.25905082916162,59.5326085660607,64.62101140586424,66.4022025462154,65.47179487276192,67.31703841611105,61.89810996362961,64.9861773470404,67.94230369773712,64.44239938885038,62.41823148685202,66.7727263080013,67.85756276012363,63.124324391891875,62.33682667906063,59.273890810944835,61.13836111305114,60.09519439202638,56.32885936048282,52.4165400823092,48.877651105686446,45.79013855100844,42.268932546240045,41.49517032340071,42.18172762188349,44.18337098752668,48.68364449819819,48.1647326003653,53.89871046823925,54.54909776828655,56.32445061172376,56.69131421720617,58.93039475160058,57.2316132076111,58.12597398842936,55.57474232918598,57.35347579334478,54.681448733726356,52.47902215092784,53.86936018497843,53.09723596864407,52.47719013086567,53.426374045866524,50.51414936947959,51.72220315037158,47.777055517210144,45.35097915191904,41.31524646316114,39.559906428757515,36.11620937548056,39.51380198077997,37.44342449261256,37.54931674260023,42.15038069335773,42.07955110290496,45.61376567828448,44.63939189623757,49.51662175277648,45.323453844366114,47.9371945959875,47.89150474979377,43.652818543758336,42.67569291726313,38.193517556928136,39.185863892828195,35.04265179404676,36.98220596795334,36.09648214937965,37.3791286628291,39.96375571690468,41.66640973467584,43.98138830883887,41.22814071515727,38.33870421273021,35.58695256638054,35.163438523548514,33.68766206738314,31.662155010120156,35.59162504489835,34.15396511284013,38.22222852813209,40.88874349389928,45.50448687730078,45.46115389450422,49.27634727363319,51.17449683051046,51.21878189538046,48.30841349000843,44.525492031725534,43.50102761962362,41.78510560556576,40.265132280326895,42.73577892048366,44.12965806598456,48.483618887900576,46.80100932063162,44.740571805143524,47.48663916239895,44.76867835659558,42.27627840384638,40.419600277387,39.952011668279965,35.85594998569525,36.34695588491841,33.11391456055683,36.28979422962555,32.07553900194898,33.715283798693385,37.11861241926136,37.02303154730899,39.172688142119455,40.72878480319906,42.49504842904631,44.13053988747211,46.21944096927796,46.40153793955721,50.33920919053269,51.54886459571212,50.42660584043818,52.54076564373583,54.591528920882716,51.91519652932459,48.5124127152097,48.44799703716346,46.524826988782365,49.02175752079745,49.67975592930134,49.59194920970473,49.33635421175268,46.88342917246974,51.63483766116987,52.86746841865436,53.74520520088158,54.322622773437274,49.62056704792483,54.52634144866758,57.30101711182514,54.88004855089562,57.625025781169015,56.0751145386652,61.2600268399623,59.679167940027824,61.00068909816412,61.499331808786344,58.10299682462531,57.76143818967493,55.12790456067489,54.830498299642386,54.26389309914768,49.72240163985004,49.64728924289504,46.1970814294419,44.29276247569135,46.227024363839206,44.25138637485337,40.870867675599506,41.35918393776187,43.010530375696355,38.75290024276649,36.38717243546956,39.14160295624315,39.867551370691416,33.93500022826013,34.198639963738586,36.076763274071624,32.86824671508324,29.851659856670913,32.724840994884815,33.872966257517405,37.81214451947716,39.38874384193319,40.527251287737535,42.811270944364125,47.93004458008052,49.99959677211341,53.15722242790963,54.164246656127865,53.91106425738364,56.68333865117125,54.80520865424636,59.088957082379245,57.59623003087961,52.127838053788075,55.340327110312124,58.53248117912891,54.38115919258926,52.77370921948499,56.38395223672806,56.00988777279843,51.51794953314873,51.735761300548795,48.01398153819753,50.784775801690316,53.189101507643436,51.340032696816394,52.97877847915008,54.185667321872565,51.76495242165701,48.9816851949969,49.31282934142871,48.844325541304755,44.846933449286496,43.97865974427588,44.38902694314278,41.75955771296027,39.51260449209983,43.29555507448531,42.14914093646673,37.359024546073506,39.413092330385616,43.101511694832446,43.27121433259125,46.96232376098483,47.31837941990995,51.024377404079154,48.375852124800595,43.9342406725482,48.4106861951722,49.142615638234595,45.68826323595931,45.819921696831805,51.24550000734325,48.883190560650604,44.42348402644259,47.99829942218422,51.65179200772343,48.325588444342046,45.10295266367322,40.51240759452352,42.80509825597913,38.21395270152846,38.5693826282463,33.875998531712796,35.245255186479156,31.222158332958294,29.80172984837156,32.468498905784784,35.321405688711,36.226930759509436,39.1252404663689,36.81154522717366,40.83779081634676,38.04680457687113,35.5057110647756,35.30210203719761,34.644010636336695,32.73748214523118,30.616947118710232,28.765857050302536,27.973027415862695,27.62336118679716,24.85834780698919,23.57544327498505,23.353810930884297,25.234458460582058,27.1721498328714,28.36906193544513],[20.331865467560895,22.00273503444766,25.004222427406695,22.95759021419696,28.060067191122503,23.53756860828425,26.185968197121827,27.092573161890677,24.846164276836276,28.143820823220352,28.39596058789834,29.347206798962695,32.893536750765385,30.974457871105187,34.22998174119851,36.56316650554369,37.37535763095993,41.34712687028847,44.57227670831999,47.40576854245194,50.653415310192514,54.57398673729135,55.59920123411453,55.51697745707285,53.0101289399153,48.64864105080182,46.98295971604734,42.807058425472576,42.181433417297406,40.54919887670587,41.38900016328417,40.70561748592827,42.31290793075229,46.68667391384468,46.131170009892536,45.82514590076392,45.02398065946895,47.595576153870205,48.3731907292675,54.18976278847991,52.320122424366296,52.00291318914268,56.28235477515658,56.91026726838053,59.25374027559509,58.9390773128761,62.97876555304452,61.17284942918281,57.292218488658946,62.305390114013235,63.93705385596654,62.80546735193359,64.6545670741597,59.266936568488,62.20827419541006,65.44063923676994,62.17771516097609,60.01507160859858,64.37166682548529,65.74260680504223,61.181709817635955,60.4705440931404,57.37929808420093,59.65554646042284,58.49748963795743,54.52405802301633,51.09700150392487,47.32906116301961,44.71568013810362,41.052301607123994,40.65869161337625,41.74555823900952,43.27512981567651,47.76958593475544,46.698727485618676,52.3980925396257,52.712845870258285,54.25615902264455,54.407886599275244,56.56636449842355,54.47467760003512,55.315866181631684,52.376431383824276,54.19384152796427,51.79399723319818,49.590906815849266,51.357097223722775,50.27492201374027,50.195048947763844,50.989699642241874,48.44480867337934,49.937469284387525,45.90828188725803,43.17870575052553,39.09404476550076,37.545459784785876,34.06612425651357,36.7633293472307,34.34628710108414,33.8385861786297,38.705705681020405,38.08875813462743,41.99823996972026,40.65458728074552,45.60657410012338,41.38335800825588,43.7438908705567,43.871068775352,39.62771715419492,38.52679356181122,34.21309522852083,35.66907217085529,31.726941686722874,34.17734027704286,33.70944523267353,35.39520180750576,38.19566328759403,40.31606113377191,42.902926423485646,39.7925931442505,37.1415977995285,34.0855600611316,33.80060835308124,31.842555936646306,29.310029863053437,33.00647570601005,30.79995514909851,34.930477161832634,37.34210901231159,41.85662249343683,42.016454386592585,45.56149803178679,47.77512065144462,47.591349913412664,45.123103348889586,41.50183319130512,40.66771573782659,39.372129505079,38.28802003934685,40.589969823454986,42.66124704132897,47.04393810628618,45.198237882141925,42.81957595815103,45.354509244868204,42.42649127953047,39.911192762585486,37.64611433051588,36.75405970071056,32.52286429724279,32.458792610127,29.162932186074134,31.907205489615116,27.562574555941364,29.681521731238092,33.140223542806545,33.421076199160375,35.2955152515797,37.33307868339876,38.87776311599383,41.010118315959055,43.385803794365465,43.92106381130026,47.688417719110525,48.91805948288959,48.21377571552641,49.97565878762505,52.302070285146065,49.49608647643371,46.238566941604425,45.8380597527638,43.968537671060886,46.13196592083267,46.59807368106443,46.409578857485776,45.83814569202062,43.609058914202365,48.07713227818117,49.58154740679691,50.22066619372261,51.089290726509255,46.09176501738753,51.041723331019824,53.95183021595824,51.75510292070284,54.74299728173858,53.46014984079949,58.66016096749366,57.50422721539459,58.476699527124694,58.94112747261566,55.34597131978477,54.85722856677722,52.0920799884278,51.63038961379627,50.98632824383355,46.5569812872574,46.11509201535048,42.58764656400311,40.40460931874969,42.10951903463209,39.870254880034395,36.69090305523033,37.316026567011846,38.61473955766784,34.25460891821044,32.40003781271635,34.89552859711967,35.144314861000296,29.38400018230756,29.870706111128857,31.497813248340915,28.042229215922816,25.477656583638964,28.45753435659397,29.868698997627256,33.51889213279801,35.777465884671486,36.53138804997829,38.58045320889574,43.75237311902829,45.771496689321886,48.949104340359575,49.6817300613797,49.47667841178138,52.16180470865044,50.26584910768832,54.68674025322008,53.3263642497142,47.93961091172981,51.1432272336782,54.5444576677684,50.53976427709618,48.93912777760964,52.65741372304674,52.53277978429663,48.08501045775958,48.349714726747244,44.306264499615644,46.82561864945322,49.05785370708929,46.921372097438606,48.41615648348937,49.36631021204239,47.017903210649536,44.415583116665566,44.46876802834135,43.86350069959678,40.037429320428984,39.161633426501744,39.30639802833462,36.615717585540956,34.533312234057306,38.24652333309626,36.930195415911726,32.1608996835587,34.4220906914892,38.08572641460356,38.44920860110844,42.1119023422108,42.53480481463164,46.3417542140529,43.75753267205721,39.4465039097363,43.99881829659163,44.8789628013602,41.51468494203523,41.809699841296876,47.273825776808536,45.116188985609185,40.79598935268452,44.42599691461538,48.15488045979164,45.038585075646,41.92908964482013,37.360809424296676,40.0708850227917,35.606807251782946,35.51262491901629,30.741151410347438,31.619601271684733,27.328536712363064,26.534840252455737,29.359344190551177,32.530246381267574,33.334666757816336,35.764799767192144,33.30415487310544,37.19647026855584,34.531375994085074,31.358052961043683,30.915644881386985,29.946824140071193,28.004583475609806,26.333238508988,24.12166707041402,23.05682807889736,23.345713910663445,20.597711138243422,18.690934869856502,18.292713796128535,20.41675830064173,22.33942219377371,23.424505442664344],[23.717865790641554,25.253223834870077,27.74882629896035,25.872591211599634,30.32270463174267,25.130883211591456,27.242932830412872,27.3950468827317,24.74275879470917,27.95415780753293,27.51991058122308,28.05525866436315,32.23004721516513,30.37933012930764,32.95275701228527,35.39401557182819,36.80234658751784,40.503372663999585,44.00825426787871,46.80265183167709,50.062058195990396,54.056740841656676,55.17347175687885,55.43937491007136,52.95270579229875,48.560898091724425,46.964817964911695,42.72349829300033,41.622487596071196,39.735278949621105,39.83461432188082,39.25861309007215,40.333812877799836,44.69935949268367,44.6120789947782,44.67596699745692,44.05647436597105,47.080617582711156,48.23920094516179,54.131018628516856,52.53482383795438,51.75704309133918,55.92223239324391,56.88881431440643,59.43741236559684,59.47231109209232,63.42075833162914,61.308424317256524,57.701660891811315,62.91616093213589,64.18832206246977,62.96588505859288,64.50277683739937,59.07842288077829,61.703150935675176,64.89935148117681,61.71030156766746,59.23577731662918,63.42748975968128,65.02823854690428,60.36845227385981,59.25208344720978,55.940668396013216,58.36544873130807,57.54719651831757,53.5393670969307,50.08028312399187,46.15413021803697,43.71207829571441,39.764955342214186,39.585113667652344,40.40558704865201,41.65664962683272,46.300947426303104,45.068901152262,50.46578037616222,51.17757927983522,52.3786491611243,52.87108043777864,55.34267067162954,53.374768400008726,54.64855826796953,51.69790354898881,53.969449005739946,51.736516593302746,49.14019484575511,50.67254254251888,49.175905559386656,49.01698065620581,49.218074639023335,46.64503697130108,47.757246895745034,43.697419302209745,40.9042330425713,37.13269397423268,35.1938806754669,32.106513500299094,34.768926882226694,32.615674523512965,31.926182502131986,37.211384337577485,37.07409304694197,41.13284921132562,40.33169392310166,45.71763686380033,41.860118777860066,44.435077046945004,45.02864415015846,41.01079724911422,39.38483868088807,35.29811182712905,36.52216902331043,32.41151485691882,35.01282161638585,34.022480947790164,36.06170304005224,38.45020741262152,40.9312954167757,42.94353908439481,39.47786892213441,37.08201054574643,34.11419915174087,34.54483403357331,32.71307403956023,30.3030254623523,34.40032034935183,32.3670190038521,36.35525201589797,38.851534635991015,43.03331806055783,43.8555923912891,47.259067495087706,49.42674234375983,48.74016105945571,46.62411744638159,42.875092341414835,42.69233518741796,41.10456395119094,39.952400222185254,41.81307388992109,43.97423962539367,48.08874639974158,45.81739089091415,43.512419245797055,45.78202397589767,42.482818263241775,40.24787144269474,37.72212105589431,36.94967971032481,32.58102118189498,32.54547168414646,28.649236263628296,31.11945337133691,26.213017035507832,27.996290514787244,31.857103413209988,32.46729538989999,34.79497107271602,36.75285133413279,38.989699914277445,41.50654786147064,43.43074816269514,44.59091137314788,48.054611297376674,49.81078035939972,49.583268542414864,51.49942949860631,54.10748171337548,51.552547138815115,48.16243662723688,47.58417674744318,45.37228752556534,47.10444357167039,47.1903919454932,46.58466753971231,45.73542537286771,43.14455775858017,47.44947503457971,49.35610001033068,50.14539267164798,51.482444683216634,46.65398625666625,51.890233578695515,54.97050373020812,52.79832832090547,55.44305527845259,53.925487824850684,59.32339401989702,58.452143882448865,59.580021060262325,60.34728777981589,56.62483323487848,56.47661142652687,53.84202643537715,53.5150163646551,53.15695421633426,48.85166647943996,48.35278225320087,45.047587146705375,42.43557989708766,44.349578139421254,41.69028630461616,38.61919871078925,39.834985292217276,40.928392250143595,36.348675680792255,35.200657778026454,37.68583491843698,37.35409796633277,31.85061940994487,32.81983440451672,34.25952736308057,30.40880608300714,28.554078146745965,31.761348877045638,33.342311402567866,36.74475231379745,39.54160342540048,39.86881358206737,41.75358542370876,46.90712242027405,48.965388029212264,52.0608578183361,52.3690397950875,52.071318295402385,54.50601437474864,52.34673354389126,56.9227806080275,55.92635357848396,50.48860162426972,53.45218224264074,57.19446556139026,53.41037488154335,51.58846149545161,55.21995760375441,55.56471287062773,51.19998738615084,51.042325914331094,46.97486290266421,48.869970907836105,51.10407632157789,48.87109810589579,49.93141794196634,50.682400015751234,48.061175689309444,45.895893054550854,45.95925547695242,44.84764430936998,41.16815127065091,40.76844879723539,40.5618483301974,37.66795933738339,36.12803368497824,39.92918531841447,38.27178721506428,33.61345577282204,36.457126840889806,40.07453597786607,40.75274831005279,44.24220877674256,44.53719807033073,48.55831273283823,46.28677597859288,42.02855166171079,46.4996682960927,47.75313646521727,44.539247598754194,44.73291899282532,50.32844756567667,48.537302483432036,44.208307797741945,47.669653116868446,51.63744044031482,48.80434693187515,45.68520726480869,41.104208504767335,44.17186618144434,39.793440173177686,39.62260269769018,34.730080468682516,35.12068109092135,30.527277868791685,30.287964820661372,33.007614913961206,36.36049019361426,36.80893442662845,38.9113061565225,35.936446215522935,39.5063721828285,36.52760675583282,33.40083365255176,32.33463353264717,31.39123015462481,28.699009827584742,27.727741944189912,25.91626324442347,23.988276411207753,24.20668980460465,22.59882414622259,20.39780951772549,18.802959950984683,20.499796354749172,21.742275833615814,22.51350066219184],[26.940408794563446,28.719319637020924,31.573631237701456,29.62503967688719,34.3844903164551,29.393597095724367,31.595875063230476,31.880622591552513,29.180579064262282,32.25752138876821,31.750896060821187,32.37775751258833,36.54231893599975,34.491386486115566,37.00682379681328,39.56569849723227,40.9486087236364,44.52411912847734,47.87168488709762,50.82802043466001,53.957801920083206,58.038775339438104,59.01714819808393,59.25086395480717,56.91029204867901,52.475879336937176,51.04501243145582,46.83771411144642,45.798226246241555,44.01285466994893,43.853129968268554,43.49486075415695,44.423487721629016,48.714699301775354,48.78303772176896,48.83912363154579,48.37446349725049,51.338133865159115,52.51413127786432,58.46769839546501,56.7488495388332,55.886921862153294,60.081256300561435,61.087436945903065,63.55934369103988,63.60517264394653,67.56936337076647,65.52397094996437,61.95994578158398,67.1939032299362,68.5157864828303,67.33249216775253,68.85909079925543,63.42838790662255,66.06127411958674,69.18801642093842,65.94327260813526,63.469640608564106,67.6354328685223,69.18390283820708,64.45384621653831,63.242010896952124,59.895278485231294,62.190494385216454,61.48266291784974,57.54888956753815,53.88888638018507,50.02959178081002,47.41028888469603,43.473112092841625,43.152535932477704,43.71380103337754,45.14653107222841,49.83151011604123,48.81223201086464,54.13904371657741,55.088773984556006,56.281992019095256,56.932878087276976,59.49422224891752,57.65216888995898,58.99785414099207,56.11846436291723,58.41921512342125,56.14676878976305,53.52777498598029,54.948458957043606,53.470181687561166,53.154638773536945,53.26833884395587,50.575124421383556,51.46721228869503,47.43374406879769,44.73160036590496,41.08106725104723,38.951432681375294,36.00418850699312,38.864860699889384,36.85882405255698,36.184042654712265,41.545593149866384,41.512486319612236,45.582623203922786,44.8316384221732,50.22258289816677,46.345516984480085,48.87447276164019,49.410620831861586,45.33871226918952,43.804281108446425,39.694299371351924,40.955867199391335,36.8378883319543,39.34360476979017,38.28323411185458,40.18694551785537,42.52259214507534,44.84694584233959,46.74689946569247,43.40762709997193,40.91995998859578,38.071594946743396,38.43205174167851,36.762610595299,34.48539368479518,38.60056828089534,36.64844151372332,40.67378023586437,43.171035612197144,47.42919004946824,48.0929830865756,51.5346335357389,53.72077100310669,53.14597922839395,50.93485528357063,47.186975584063376,46.82520410411514,45.22454039657582,43.96511272163015,45.9501036708079,47.88297871713597,52.02503588949005,49.83840631361591,47.63638148153948,49.98845969113548,46.75049190197127,44.51578173067867,42.09449618431628,41.40057903565253,37.04940330712868,37.05258683875757,33.15159524003694,35.55259527223665,30.530169853710735,32.32092448368749,36.262597447973945,36.9159275209941,39.293929284862095,41.21452468447564,43.4899435003981,45.938204940290376,47.824005395710536,48.88191109174109,52.40807371539918,54.129129313651774,53.73697945103375,55.717175146566845,58.20921842793276,55.618622640463336,52.22307587498848,51.7577459173128,49.5978748066387,51.461265414036646,51.61590258833451,51.04298654437759,50.22958761064118,47.59778326532881,51.918948013241746,53.82486962408413,54.642257892314575,55.944715244550906,51.13086637006778,56.338267584762676,59.389541183663276,57.189173883866474,59.8339320404043,58.27363002407068,63.663442038451315,62.66272429892522,63.862632029377814,64.59630961619541,60.92951294686221,60.74197486104061,58.090218103340824,57.73639797087609,57.288707118799415,52.9361188826224,52.45483774196018,49.04505100199152,46.57764035349359,48.34119366420386,45.7835446978199,42.74035682571888,43.70656062399353,44.75295851133258,40.26153282176395,38.92329671387321,41.261077851082206,40.985399828651126,35.49281726932055,36.19706785665944,37.491374348372936,33.79062653295355,31.750903505688953,34.62314244781208,36.33453282667668,39.55356670585079,42.40725790542506,43.01598169173992,44.79084626470634,49.98482489794649,51.810232964645266,55.11061814153309,55.65610603224985,55.5672104390381,58.14097443097182,56.18091260220584,60.737798377534304,59.564188470442645,54.245386426496346,57.35507184242696,60.964831547649204,57.09459094256179,55.431720800337644,59.13733472731193,59.24547171830856,54.83889365046068,54.94807379929513,50.84637594800766,52.99103436427815,55.175344533110255,52.87237434028801,54.04735952542465,54.70244617435959,52.23560706169715,50.03132970461528,49.89665829860465,48.87223525156581,45.292364085521555,44.692770589733456,44.37029659090608,41.5055120864394,39.90817782848917,43.48768203956883,41.742859767202695,37.10478547333473,39.76795379502733,43.27553440569175,44.0448803884059,47.67811692593717,48.21632367507657,52.1479282087015,49.6249693435842,45.54470539870482,50.14376012133155,51.1529127508318,47.87798435760937,48.313617712532476,53.781827029180974,51.720640482754696,47.531178956186565,51.16950723727331,54.916836239130475,51.86549138298437,48.828434920922476,44.28860099868052,47.039223551375095,42.6053970894297,42.35583701094775,37.657001673299845,38.39841111299474,33.99592459685217,33.46808901312009,36.31319216203437,39.54194697782118,40.265274141066534,42.55067366706366,39.860540462510464,43.566123917728135,40.707101918136495,37.486603597545795,36.577925908264184,35.50185796670716,32.99385632654299,32.00737267608956,29.936322903942376,28.152016439122175,28.601801436341894,26.67960805171138,24.33488811606479,22.969736942927366,24.84673528323219,26.061012062430333,26.671711167378362],[24.46426078988562,26.574915325770306,29.82812742840753,28.444595304176538,33.40224980995332,28.65328548449576,31.3174715880593,31.660719639029484,29.523444237161055,33.01478104877137,32.87766802279523,33.31401695123733,37.43611657030385,35.75200765699772,38.513868565438976,40.84248575782411,42.146308241578176,45.99792123522007,49.47852706799818,52.22949855562849,55.53655168049334,59.47799792787862,60.60903290979659,60.743404451032035,58.208486325079484,53.83877705377723,52.14459024693129,47.90933461408629,46.939754443736355,45.00654603223375,45.427688965214145,44.59641457435283,45.75522517819529,50.21422592896548,50.02550526459826,50.11465388103962,49.26544713483074,52.30334392455773,53.312128859292706,59.098181846643214,57.51313780056628,57.004699425493236,61.192467679060925,61.98933620189499,64.49945857735585,64.33771464174797,68.3196656710965,66.31871593358838,62.52699543857941,67.59337502401375,69.01081354345949,67.75004358110574,69.43837986539937,64.0574327010458,66.7466379207107,70.0600452916184,66.93583685285051,64.52991437293458,68.76320594812752,70.3805458438202,65.80637576335194,64.82291929633132,61.55649962378777,64.0237449634639,63.09990506029925,59.06739791211566,55.69384552031139,51.7810720817749,49.33976513187675,45.45469389979501,45.23520496464402,46.10360048372219,47.42329793613134,52.04342991984835,50.79945441674469,56.22389205238835,56.82553493454067,58.01541843420996,58.400246612571024,60.781098440111805,58.634423901367335,59.75007958327242,56.61224458517618,58.723307722666625,56.5599455292218,54.13733442192136,55.90877827329069,54.413404275379825,54.47759055644441,54.733460983442164,52.281188838721455,53.48387350150895,49.41223332698591,46.549697702557495,42.75993679850325,40.894830101762324,37.789178237148626,40.21725855147786,37.88426094721042,36.80440305875336,42.2228454377661,41.572310997580445,45.87261871883761,44.592056273956175,49.81312579630269,45.74386990904817,47.918994860977286,48.33205116232258,44.14724883478062,42.8280149402588,38.77226987234091,40.52003935619717,36.669150901406866,39.41918573358584,38.88853696310486,40.83584451396276,43.4953848898975,45.852090636054065,48.18219260736274,44.836261361054724,42.3521634681724,39.311155565180606,39.37812988052058,37.39756710060077,34.78783556147782,38.512010229603206,35.96866000365169,40.08053725621048,42.315074325687334,46.66193655338956,47.06349123486616,50.35656742836007,52.80972096536947,52.375871253422254,50.29552119243071,46.76002654120664,46.12191398362471,44.99263138729226,44.040780510531704,46.17184926563348,48.4239361134344,52.72383164787061,50.69217405248599,48.28079016430891,50.6453376234348,47.47992650443788,45.09741375346779,42.56187869937371,41.529102683983076,37.1742088518749,36.746265944136326,33.08505692747696,35.19725365963706,30.25143599022726,32.60277859029456,36.45057522128999,37.28184903306015,39.24672197116275,41.563187649747185,43.344621638657735,45.94529289097294,48.24567721719325,49.20138041151513,52.7700996429749,54.20870137826211,53.80296416833062,55.45814087588116,57.93509031211468,55.11116760123468,51.912416423798135,51.35176368893918,49.44867213181598,51.33826729537146,51.57274312870767,51.15092613655909,50.24928943071799,47.960243135802514,52.13294517083676,54.048512273859785,54.61399016959835,55.88482883728003,50.78250771840237,55.83978262992592,58.881743116738015,56.83816710110534,59.83782739295063,58.587571091338994,63.86155058236093,62.9655795328272,63.855671302219555,64.3814015292524,60.675899595159315,60.17757340155375,57.3599199270545,56.796613303949115,56.091500293766266,51.76501454326739,51.040786899242185,47.42571587743142,45.06055991961793,46.4246480436988,43.94338202734133,41.0638294514358,41.68954810915185,42.50093244290142,38.14104045188303,36.79138406215947,38.78369199956821,38.420155082977566,33.04919034358452,33.52422823463059,34.56090703287288,30.997455348602166,28.948689776925672,31.489620348291847,33.409224321686864,36.31159024070494,39.47320904776696,40.16293989151125,41.72129831283799,46.93407696679934,48.530919912621236,52.00199338252302,52.68983693383268,52.828779373630184,55.53032388318235,53.83212482486906,58.382320426181586,57.02304976134619,51.91401225794394,55.208722271693006,58.70650521153824,54.81169885024118,53.3837219177278,57.243271410534824,57.155484456322725,52.74958501079895,53.282245159199476,48.948785881453155,51.340937044213405,53.33938980199285,50.818803996361446,52.1564234367782,52.63117437428394,50.472905769673226,48.19464869389273,47.69384954358085,46.86367912486187,43.44777149339315,42.49000022119459,42.03070629143846,39.24947367497369,37.52140600917408,40.81210633408909,39.03248650732471,34.41911187469451,36.841511748032005,40.23360300010247,41.07822907609502,44.83797210556891,45.65729886939171,49.47780676412906,46.70367687859344,42.86887296110754,47.611942488585406,48.385603902742695,45.1006069468725,45.880485485335356,51.17792460764909,48.93460948345475,45.00307573200613,48.84879507820384,52.353342737529594,49.210426202988856,46.356490100616085,41.92702614409161,44.57324443778043,40.22069763045207,39.606366823832445,35.1227901392884,35.93548203179861,31.67820558479798,31.210075933685292,34.25069485807721,37.492976514529516,38.48168143068343,40.6441388166446,38.30392311600804,42.092844245095854,39.58941743892251,35.833748774725045,35.123075143988544,33.70593926046986,31.63913601457601,30.73877491693727,28.080452700195686,26.53308241294024,27.68745477892668,25.19474787514842,22.401175503790505,21.481850527216633,23.804203904109634,25.22596152181729,25.73372478872328],[24.172825859047023,26.59455857558018,30.077539193126572,29.43387402524044,34.31068730694015,29.653497416417824,32.59109840082453,32.69728239524394,31.06685046292032,34.908432572420374,34.89042337864564,34.947151938478356,39.224667223692165,37.97230418401054,40.68002118619795,42.78775053250279,44.24241337727234,48.23746102538455,51.94321548915445,54.45169821068669,57.92887303187687,61.7370152777684,63.060354727274856,63.23368963075961,60.51666842849495,56.221188139477945,54.29035182085461,50.02443136321991,48.94143770471607,46.759640916746136,47.47442474502954,46.19124380657003,47.34477469792342,51.942802506906176,51.693461052482945,51.983625764683914,50.80268824552891,54.09815046325958,55.081956038844794,60.68513834000532,59.36580861414449,59.05124600415516,63.16801588059055,63.884755492643144,66.5137967935624,66.27357318542371,70.23139786950736,68.15671250630747,64.24063720643606,69.19250999314009,70.56315831576875,69.16915279522064,70.89207179150661,65.57200984888445,68.16631638514822,71.6666041161951,68.71873638380734,66.25063187511606,70.47112970152547,72.26056223219742,67.82586792194165,66.90940328161712,63.641979459786214,66.34147593034946,65.34757628433564,61.2143357964711,58.1403981547794,54.12826152532202,51.95214793604433,48.02787045660404,47.99557568449054,49.04888661064143,50.13777996035169,54.72935254466124,53.19875388033682,58.55605861773348,58.971537028241315,59.99534874611153,60.24982660234826,62.56380597421446,60.15003302199751,61.20029302308655,57.78208103522126,59.86697906982605,57.92031767139478,55.557785671042076,57.60280877565078,55.91191056349164,56.35668470629598,56.49382437922924,54.3030697203311,55.64747401114516,51.55171493447087,48.51651239050336,44.761046747802354,43.01288883712528,39.958063067512974,41.8874103178726,39.34948684891609,37.73902316541861,43.349015759628024,42.21268115779696,46.807413870927775,45.16577507819227,50.34163355805898,46.23664742686704,48.06585952304556,48.53452820543013,44.34137904981328,43.06632857635539,39.21548580867041,41.41850354212377,37.846508033867494,40.89924111616493,40.7445961470071,42.85549145355436,45.67240273541841,48.18593547190182,50.71657581718064,47.24954766477216,44.88629160324938,41.709728473340085,41.74458878630773,39.50994840361807,36.62309891483363,40.036149843542255,36.92340451378655,41.036951292839944,42.980976966531976,47.2580326749347,47.625150079857505,50.660537814637436,53.40077427612266,52.92062615641191,51.15476743042873,47.837494423705,47.150666686580834,46.44052575912289,45.80219260489642,47.911647113219686,50.52256431605274,54.86477001380207,52.84037371789717,50.25106269015661,52.50799376525782,49.29147178665591,46.880834508062144,44.13565553455514,42.78700789270639,38.42034410657224,37.5157415432207,33.930496316081,35.53535822993536,30.51296717052172,33.32940107866841,37.18684881546053,38.364894127803645,40.02800794308726,42.737692506446706,44.23708879377777,47.15432369162131,49.7117202166409,50.80623434802055,54.27709288080762,55.61517206175071,55.3847220522452,56.73840283012262,59.30253841625011,56.32672681219089,53.30982471127568,52.5735520352435,50.83243681716222,52.56376538499653,52.727806715948624,52.30112317170456,51.18235259394621,49.14205403367099,53.041182409435756,55.136581192793884,55.475524650277315,56.91118485831212,51.57831360654636,56.555888089328924,59.64614429810665,57.8041402100309,61.049113553629404,60.05370255211459,65.26418685959122,64.60857817481892,65.2117807538557,65.62765439285532,61.837406293758434,61.12704294974024,58.18355139964675,57.430824855220514,56.54275861140106,52.31800371441807,51.28400689275491,47.533842755815506,45.1270791398096,46.07612292890626,43.522925397870615,40.92277907311738,41.37181320006124,41.78586731396715,37.53838677173056,36.49429424349572,38.021646323719615,37.28260287598663,32.25288344791551,32.631888654449604,33.225916958997814,29.71359745956062,28.00069352280096,30.161547640943496,32.41325010187219,34.73518363631175,38.524932555019525,39.13446656727011,40.314829918314054,45.51619656069371,46.79733266069451,50.4509459500939,51.13065570351282,51.53429365942927,54.276895434342684,52.80871128092397,57.40211355605736,55.97529662562762,51.140146871261905,54.547653780160445,58.03894548324744,54.229159573069474,53.006773495912825,56.999980143763885,56.87225307485953,52.52480775441927,53.393760724173426,48.7926769188399,51.20751035957574,52.96161156658836,50.13725726696774,51.47176065564145,51.612471666941204,49.7375535745538,47.588617413254646,46.61778530020626,45.80200469672796,42.70317361403113,41.5114191950241,40.6995192302678,37.95877132433545,36.341900667382674,39.24337712913193,37.25557399198147,32.7908060029206,35.13490873546125,38.30641711204321,39.40981906699763,43.231309776982954,44.36701492153517,48.11512682426014,45.16583497965789,41.71722862712135,46.579657071437275,47.20725243388673,43.99928772900836,45.177792868919425,50.279184618398034,47.97192127800982,44.39362013783897,48.40646447467837,51.68515702977907,48.55849368079491,45.94966956000274,41.68542035314492,44.321764966900425,40.1348735897187,39.03809095364893,34.82254778585186,35.5224493335315,31.381384696546956,31.21231126783768,34.40841850717289,37.70205360762578,38.86245738770819,40.72806312304085,38.63319428071188,42.353219464594275,40.17079284258218,35.82349237019399,35.09487914481594,33.27283874671096,31.470331740177162,30.999926247117745,27.81650108982596,26.235626787841586,28.21634101697562,25.5400298233155,22.14370503889721,21.325417613944087,23.95223880018479,25.273441548370002,25.496710532511397],[20.995656901795428,23.563565190567587,27.336702802803988,26.95002481754129,32.04026530542188,27.857879718451677,31.154816300518682,31.603338368368682,30.409176060171184,34.396178012370655,34.82829244561701,35.004626627370484,38.92134835389013,37.81013434050532,40.90106569799306,42.84578502640106,43.979970071900695,48.189698934242635,51.81134831177353,54.223774085178626,57.761030713330314,61.45045871991163,62.8013888159848,62.77791278747636,59.96873644874322,55.743518261914524,53.66721222845358,49.44626936606257,48.61136082320922,46.50237914134086,47.81360892722916,46.29945809387583,47.82160073696923,52.46547476715504,51.86400419528246,51.97345509939549,50.5562927255921,53.63961234633229,54.36716691043347,59.83076173718913,58.4511562626286,58.506412853810886,62.65262001846459,63.12880212253628,65.67542124670811,65.19151274067534,69.1865990990615,67.26985163907953,63.14361204500499,67.91447372240276,69.4818810418144,68.1126941378647,70.04095590418711,64.77170693878391,67.53280729035127,71.12257538050176,68.19218857605303,65.90983786140552,70.2339036915209,71.93178852894721,67.62185236541077,67.00717425514779,63.89481803055191,66.58943848996282,65.33597068533126,61.18747692106071,58.27426366348092,54.3270601245108,52.17030697993615,48.4173114592781,48.34336984815172,49.66746304555136,50.81371626100097,55.28591119783622,53.72818802383204,59.26652993349104,59.32229844910333,60.52239410328242,60.48482597336267,62.553170175861204,59.96413936745486,60.69685204402571,57.20268776255034,58.966619215233735,56.99159026794334,54.916044203352286,57.20515070622785,55.7274236950345,56.36049801831596,56.867637221643946,54.79474931117856,56.46823663419223,52.38555991739287,49.33126166656754,45.36515874997856,43.93636230689626,40.62699185339979,42.405645739627715,39.628898230436484,38.0163746678096,43.35851511812343,41.772835048392686,46.32148805801557,44.22580556708684,49.08225195066912,44.75062559976072,46.33692732751165,46.52651476597865,42.217939897465804,41.288674173967394,37.38994124256179,39.86322585547805,36.52208135059045,39.5756358553684,39.877767297474755,41.843961539181755,44.94665397479983,47.31256903006019,50.26219613273088,46.960215289037556,44.51984258605353,41.24534993301382,40.868853572951124,38.46021176644419,35.4088471122886,38.43006447325222,35.020395074650686,39.172901831113386,40.945170161065555,45.366966982942614,45.32919557812764,48.346276892737926,51.19396225454003,51.000994327466714,49.140086465941934,45.996979991273406,44.92859347737371,44.556512130464085,44.10179057488754,46.429397490983824,49.139033124510185,53.62025570887145,51.85060716337844,49.150901078934275,51.50355081866517,48.50333571246526,45.92721633316894,43.27132877377862,41.74320643636652,37.487340841547685,36.418112693695086,33.26583161585778,34.91186826263153,30.309079962742054,33.424338089103955,36.97964746050039,38.01886550363521,39.29033084492115,42.15199991548987,43.11434214450888,45.88336485984447,48.79511131843341,49.56225101814038,53.15719948895132,54.13527466695871,53.70445994662225,54.83950668599944,57.27017430527519,54.10839264048941,51.256008072698094,50.548628206149914,49.0751321340766,50.983532043905164,51.34914777309441,51.18107715056835,50.174382632874845,48.45441726347566,52.3640834402025,54.2407834326309,54.41196057623002,55.595214209948914,50.10370768390586,54.85815750515983,57.84749488993257,56.065462682205606,59.59190168010551,58.83675236889386,63.88608512766594,63.15616282064868,63.55239266119582,63.7478587750814,60.013185371118084,59.03151942738055,55.980000637248786,55.08753191128869,53.97689016417683,49.730932977599494,48.629083628914685,44.73063582543884,42.57004869364545,43.26865437738786,40.963367664899714,38.397510323119015,38.44561470430214,38.866608090383934,34.81465495678407,33.461441347692926,34.8412234304941,34.35978673514047,29.305960576330218,29.36984628204879,29.956366716176444,26.7265900652167,24.697533568292883,26.60762926804881,28.839930807775453,31.143980320214737,34.774880245808426,35.576291473193024,36.75727274139025,41.95288921394726,43.15125206901972,46.8748569184872,47.787215781133796,48.28309896528778,51.16985616499781,49.90635699030746,54.39901916780249,52.75165905131572,48.019898075206996,51.580265005792,54.86148742359597,50.96348663405616,49.922119690028076,53.983410994178826,53.59249902356389,49.23775307250449,50.42954094008083,45.783446018693326,48.548624322211495,50.224955550447156,47.397231259450756,48.99288186507283,49.193875301260356,47.557603003364804,45.16715776727638,44.09873080105034,43.62258393452895,40.50768130590473,38.96952850921647,38.32928656307393,35.752560545992516,33.807314963844675,36.563611082326105,34.790926319375515,30.30540147442001,32.23103146837149,35.3860793243451,36.31770758025306,40.23883976448769,41.49964894694819,45.08780027224028,41.93321924980555,38.538720188906254,43.44925390803439,43.83070471508197,40.56919995903914,41.89232234624199,46.85259127959135,44.350872615012044,40.878563309370755,45.00594074254828,48.0909436401271,44.8420845850423,42.316565305277464,38.13377037284535,40.59139965749179,36.448994428408795,35.235737293624204,31.193985504612307,32.08374734710984,28.189843270832935,27.85157029983423,31.116824346583698,34.310135345788616,35.692662074921955,37.58787622702115,35.88437898850733,39.72262161470194,37.85114796991044,33.328253065167395,32.958774264865646,31.023546121629458,29.794332747243395,29.015985733471336,25.463300501288693,24.43974855125407,26.683835587817672,23.33181901794211,19.961486386856727,19.942583053555104,22.864451108617157,24.57468893864424,24.96728698774497],[24.069331944108146,26.825691507387717,30.820628274663406,30.60255175575909,35.77370089406118,31.73285202728327,35.086347351498326,35.50214855819558,34.3604336083425,38.35505995024908,38.72774340009724,38.83736615157183,42.84504581227675,41.728882789646924,44.74647124291586,46.714040429518356,47.91277241180056,52.091554250566695,55.71382553066568,58.152617915809536,61.67698566883591,65.38748244827745,66.72476069595407,66.70426358620396,63.9184746386051,59.68033451502118,57.62730183002192,53.405401818957074,52.548905719495686,50.40877124772683,51.6199704734064,50.101302492609975,51.51134726900471,56.167734582962396,55.66050039142443,55.845068171180124,54.423069838907566,57.57594482752144,58.32356669257462,63.77687189960129,62.418639224217706,62.46649480021328,66.61020963104181,67.08446503843984,69.62905441966967,69.13198244907922,73.12196076159854,71.21903689942471,67.08579348722822,71.83229085133367,73.40784477960375,72.0048724188136,73.93540136693349,68.6874480298896,71.41873939710128,75.0212280789805,72.12131673435584,69.8131537442032,74.11249583456399,75.8443626495641,71.53571133521433,70.87449954351081,67.7278254489527,70.43232312287293,69.22900468327057,65.08376771891668,62.138757636509396,58.1823546246651,56.00214073426083,52.2159350003752,52.125610563419045,53.348626103885536,54.523186243062305,59.03237872651877,57.50065682290445,62.98095573264416,63.134092791549996,64.26452773285422,64.29264365495975,66.40914670363541,63.80817394173599,64.57929195898289,61.033436044548466,62.82852387883025,60.90491686490228,58.81595729054064,61.12007954909871,59.57119570816505,60.229417588824276,60.62159622054682,58.55391386653466,60.1316334997707,56.04115831992409,52.97185276766542,49.086827275890954,47.55574565649146,44.34324597746745,46.10286455568973,43.36019475507424,41.59434906676395,47.07040832145532,45.430651292095305,50.081951631439075,47.93662072995311,52.78723749695037,48.46339928291692,49.90718875044424,50.09408388901123,45.782352937261685,44.9082628717537,41.094341266558345,43.70303620897269,40.43490831897778,43.518044122438965,43.849772617622,45.80295467116773,48.904150471090624,51.245271527831754,54.169665889743754,50.88010541315222,48.42472933096805,45.17449178981918,44.784960997443754,42.40552819473878,39.36545467095767,42.33487249683025,38.84002878053345,42.98876715553268,44.669137173454494,49.08093249843081,48.95402338458773,51.88585943425342,54.82926593479854,54.67960694470126,52.88172111040616,49.81450097098938,48.645827096959145,48.391111045100764,47.96356629031618,50.335592997248064,53.01976130461723,57.52633455746903,55.79594914449501,53.104613666485115,55.465631906794556,52.46788373103522,49.89296821217983,47.22335028064016,45.65782464512018,41.40367960522783,40.233092111381225,37.06423025843914,38.510920458552,33.79393009793869,36.99749328456959,40.63312455958631,41.814247184672666,43.06028618139855,46.00645868304176,46.945851187441725,49.78242124306313,52.72941911003943,53.501753116340375,57.09418119401519,58.03430378359256,57.57062700713371,58.646724415069144,61.03280176644184,57.809747230382406,55.021056417730605,54.325454431015864,52.930913102201174,54.853920590023435,55.22551384461547,55.06056870981243,53.99519952554274,52.313735951980654,56.138441083953246,58.08906760715815,58.20749045358765,59.43858384045428,53.89534722153519,58.601527325016875,61.586434346134894,59.861500544626224,63.457422698025525,62.756656530484946,67.77925346558436,67.05648230485978,67.40185471481806,67.54245432177183,63.81926054369274,62.74658796138769,59.651011783762634,58.67938796054169,57.45469538175006,53.24395077538383,52.0476779944668,48.06230159031479,45.99165171604052,46.438265330318934,44.18794632386385,41.764247225760776,41.59685221982886,41.828964560822115,37.9249165651476,36.58605931535875,37.669322362346776,37.0830843496491,32.26103262770305,32.10865087363736,32.39558450193922,29.373522695540082,27.406812830373394,28.846347765563568,31.25878140568339,33.1238789319452,37.00166261807106,37.97293361811842,38.89011129962754,44.03197934336812,44.907497982196595,48.82461791934836,49.91223905193002,50.67541891118389,53.65744252371856,52.64371471486059,57.10776041316155,55.315382653953286,50.822070044347754,54.50154079217923,57.665332730617756,53.76777306263983,52.92996969834251,57.06920353697907,56.495519540159016,52.16432802551454,53.66691209558956,48.926408235278885,51.84151723638776,53.38287243669194,50.40770118380123,52.06546250404105,52.0658056695952,50.65355068877634,48.31099355748304,46.93517374128344,46.51976254111241,43.62201167184752,41.88679713225565,41.03043832791591,38.51732481289896,36.61687572738098,39.02252750384261,37.12402725967498,32.797034566524744,34.52760665728265,37.447736278497466,38.54372982285459,42.54244057171402,44.09742648708078,47.551357487397695,44.17059355505722,41.11473113757593,46.10856025737947,46.245304776345314,43.007544863061554,44.65731193706468,49.393041285748644,46.682212472553715,43.505905985703215,47.78496364801362,50.58411380354592,47.21006781841314,44.87935388930938,40.84627515574568,43.03334589360216,38.974397554480824,37.513301915224204,33.79914165232284,34.88394138952478,31.237391426250774,30.822340910429688,34.17170023516876,37.248784076319545,38.86780754537062,40.757007426158005,39.32759372924774,43.186199854456966,41.50007475402526,36.770907906459,36.48582467587017,34.368580303033454,33.30345501376807,32.6991030693622,28.93078210686882,27.948571290350404,30.48864101241271,27.055334442262694,23.517933828174986,23.557234316404855,26.538092925638058,28.135428658788936,28.32706933662721],[26.112343243365153,28.576755535463345,32.31991527674379,31.278062030112345,36.53594958952312,32.19951222757913,35.19921176855225,35.70966878675134,33.91324120439558,37.54106351569946,37.61172335155367,38.022515290127004,42.06164014022402,40.46270571383263,43.37064416351921,45.63039893530317,46.82738205991993,50.77646102952593,54.208566160603674,56.94270025052164,60.26819810190009,64.1718411233121,65.29659605079881,65.31743119129503,62.76187074111165,58.41095436542361,56.6621441896502,52.44525735949225,51.5966487655629,49.662348676171256,50.3145135677272,49.33358873594926,50.5694853990573,55.079793348096146,54.80507786786366,54.884156488860675,53.887688262520186,56.894976485996345,57.77942084652417,63.48547167010176,61.880881257200244,61.57892035890246,65.78943793016836,66.45219711807505,68.91520856311193,68.59755177114643,72.60595033569567,70.70995456570262,66.77959803937678,71.72663489158047,73.27156448378621,71.9889865210432,73.79751650527355,68.45733629829873,71.20836082749787,74.59572094664773,71.50945660535163,69.17289494525629,73.4412239316666,75.04708938856479,70.53592983988214,69.66413745123927,66.44104590421011,68.91450907538201,67.90568879406146,63.86662079957914,60.53888883402126,56.651777441900826,54.187166137580626,50.36212082334039,50.094204636923514,50.994729789955734,52.386988222144744,56.98360001095328,55.75839436456997,61.2163825161949,61.73603074466341,62.94177060214442,63.2434050359844,65.54724145281465,63.284283798962456,64.26694767652951,61.01521522533712,62.983022091315654,60.86031793435555,58.58311077300435,60.51710166075985,59.05452402344934,59.25850678832017,59.5846761174001,57.20405111687857,58.47580788578882,54.40041200467517,51.505109950572034,47.691134119540585,45.88457602291773,42.75061384889284,45.055376449944994,42.61060935295316,41.31212668046055,46.77258910863291,45.777073291209845,50.20506271546239,48.5873932653329,53.646139763671925,49.43024169317713,51.304909985903656,51.5552140362779,47.268536950862675,46.20946670847827,42.19554410028756,44.28745408288001,40.64146503919882,43.44974462167477,43.23745176931253,45.08684852603135,47.928357987806976,50.167234929331194,52.720561525946685,49.48949823810524,46.93310592003406,43.85813280371894,43.65116349796128,41.592482367438194,38.878432657624316,42.31659239783722,39.464630487409764,43.6294292498655,45.665797900930244,50.11813272457175,50.172978756944,53.37786453140925,56.0194421899893,55.80598164228808,53.72984032474886,50.37012981584743,49.37388437007346,48.578422957268046,47.760499596629174,50.09462859100622,52.37301436674381,56.79902056024555,54.96669111055388,52.49661959527758,54.93854092712103,51.897902713741374,49.40944554090844,46.90042284141928,45.70573047796511,41.39399455417467,40.726625035112974,37.276701262670365,39.16521094623256,34.27462105707937,36.961269791461454,40.756492058861966,41.70002650291054,43.40498474157985,45.93707971545009,47.37842834892904,49.98999780039917,52.55379443681523,53.32341203282017,56.97600638141076,58.15995200468355,57.58861660940582,59.055746513680766,61.404909484335256,58.387410632218575,55.34585205335813,54.819848740620685,53.163127579875706,55.18760223426359,55.55086578770583,55.28347244610658,54.37186083003344,52.30865263215237,56.39705650187259,58.284879874261485,58.69101821715322,59.877852988142806,54.60012164248601,59.49208885060522,62.48155064190184,60.530575888499634,63.78635433340285,62.734751437799076,67.89893505335583,66.9592951727789,67.67510383843947,68.00823361854485,64.33989346946889,63.57436650636619,60.631064333811146,59.8915703757493,58.91739029254744,54.59023171291617,53.71757261793863,49.88950629993051,47.76117213183402,48.695580990652,46.404749052920366,43.688014859094956,43.83009111469931,44.437359247385935,40.32056851942717,38.7871061801717,40.37726343767345,40.04122425021567,34.8556851679573,34.90501861532274,35.61679507985647,32.39599179267978,30.196222862135205,32.112935112701265,34.24382263165854,36.69089163629934,40.04423352046467,41.056482906750745,42.33925416309045,47.529180537752815,48.72597615346412,52.47384420354745,53.49895438187566,53.99495448719929,56.90467214541616,55.60034903469185,60.08280408662902,58.421547693787296,53.61632117375805,57.15552261024964,60.410044809654714,56.44152206106533,55.34529212662555,59.35371161065872,58.89385491997287,54.48647706406379,55.57020972835957,51.08264415021525,53.873862952273825,55.68272723369577,52.976859384436345,54.54323343145251,54.82226754272439,53.04511919437481,50.67207883629059,49.75478796315852,49.179380087717924,45.98253518213855,44.590728761174866,43.97078160139042,41.32697040635853,39.450428020061636,42.289963955089966,40.464829112170534,35.967331390407175,37.96961135811888,41.12279075122117,42.06629476790467,46.000896027320714,47.231653478294255,50.834889466456296,47.66922770657756,44.217991200385185,49.11891396314677,49.47597241832024,46.16262192425194,47.39966845607702,52.39394717631538,49.780460326145196,46.213684748612714,50.3263507266656,53.40898001194909,50.02480711263296,47.4167483291154,43.17055329266663,45.40514762126284,41.13249267538744,40.18228785020182,36.12669719187671,37.30115917851755,33.42568988302164,32.744276080461006,35.95921573633934,39.03280234258783,40.4430307507317,42.650822642222295,40.85223556093617,44.77350620331329,42.655800155100295,38.512476354876085,38.10161020479563,36.37519778157351,34.82128704178834,33.941094809937475,30.740091428307203,29.543962643369305,31.277195456808506,28.208871984506878,25.13684479666765,24.75437195089859,27.413554456886374,28.94994572986421,29.312295424314197],[21.480523692366866,23.780325029240096,27.560021242887434,26.20908370615153,31.704296984093556,27.76608759261591,30.93429009955852,31.95692173628128,30.296384171556667,33.86190267228471,34.36893078883582,35.142599525580955,38.669091584391246,36.98570089273247,40.35978578261428,42.55209182223875,43.29796451345063,47.40709848601185,50.627472182266,53.374750063714764,56.678399156470704,60.51515500507546,61.57418394546544,61.36354636316585,58.7963268311326,54.48799845458375,52.70237622097232,48.55301316156463,48.03900737698736,46.33393779343191,47.50173735432389,46.52157420190898,48.19521916374451,52.67052921211404,52.0150101415815,51.7624586731166,50.700647790829436,53.30983092301987,53.92920913876144,59.58980763466597,57.76671311667734,57.752437936136026,62.030691969648274,62.484106999248574,64.79531676481864,64.27077613147064,68.33145350818573,66.63588426586108,62.55973844661906,67.38971095598986,69.16077594895897,67.99238425299251,69.99337530981971,64.66843865762027,67.6574491960923,71.02620100101873,67.85085643994566,65.75747512507354,70.14806848663318,71.54829132526204,67.09890320768035,66.53325967504348,63.49303317830365,65.83618060306391,64.5644212574242,60.56238108372436,57.26616859066902,53.505745505063494,50.93665447298554,47.333246644028414,46.932125612221775,48.079547670007194,49.63467000474495,54.09811262808661,52.97760139526918,58.686813521444165,58.872727029478504,60.382840172372845,60.41264993405744,62.468642410207735,60.17182979962614,60.8402256950156,57.690561429496434,59.325104327168084,57.03000187673268,55.02668475308606,57.05737549859578,55.95769876884794,56.14346668819053,56.97498395650863,54.58160884954874,56.17417968722741,52.13103090048161,49.312651493377246,45.22445542823263,43.74586560693184,40.27436916051155,42.68527896493421,40.08843110249924,39.142562510490094,44.15546733330403,42.994182362740936,47.15588777985921,45.30416001650306,50.05130049981987,45.63272398028832,47.5226292051502,47.45705406773521,43.073681660050774,42.31773641514548,38.10988930818544,40.1381036496091,36.542876763463774,39.152023389338936,39.188494429570966,40.79404801917215,43.84926197467272,45.85217236188285,48.756041230134926,45.76220867485105,43.06640178318735,39.950165107184695,39.32534489194773,37.213952546657026,34.485682624718045,37.712448199622806,34.9425998841619,39.137538392918714,41.20813084916627,45.84280566471306,45.54199297477948,48.913793886399716,51.44343560818961,51.53333013480175,49.14926087248252,45.81273985496853,44.4947841040924,43.749633674126635,42.92724709237113,45.48381633863837,47.67092183527608,52.21014720013603,50.62470972176503,48.13451487726282,50.73197456072909,47.94965850647345,45.30524380873595,43.01869316959133,41.83758463310457,37.65745884117694,37.146029415330176,34.112268590933844,36.414142681552654,32.046913953860006,34.72931350107831,38.17048667619326,38.713993988458505,40.1953432318367,42.61762240627066,43.67284752455788,45.911745301390816,48.67749667528646,49.02243008346462,52.85738572214112,53.73872913144576,52.87232435467435,54.311532301863934,56.48892852454788,53.396928743502144,50.39375002753455,49.9963982248282,48.490404840186216,50.78283324923172,51.39273115212349,51.395276737122586,50.75057869524705,48.86451492017378,53.1477921064143,54.6730650799239,55.05645613985101,55.86541002143547,50.58970791302268,55.31071719794856,58.165476820641075,56.137083288159374,59.50780024506029,58.539559520107225,63.5780633983177,62.42457555645067,63.108174069478416,63.29915613529322,59.735834505079794,58.85352506187572,55.89621959722131,55.16014164943545,54.120319282365806,49.70501775875511,48.99604875216705,45.14875367724076,43.26561425924769,44.311858839120084,42.30080637490081,39.39348973643248,39.33376800555566,40.28148331600947,36.24734905142665,34.20469182256225,36.069154328526494,36.28209797015574,30.790108517679112,30.67835120711348,31.800035094345166,28.76888304914836,26.021682598797188,28.124094940049336,29.910859807271997,32.900187149485006,35.54366924932085,36.725258199118734,38.36560231374893,43.55167882840502,45.01453125494482,48.603294041672854,49.78253562876728,50.08302234135896,53.05600037359576,51.70593524464467,56.05932395451764,54.290472524568344,49.32815744178812,52.8849049483953,55.97643585097697,51.87768040634261,50.74892763284395,54.69957459084878,54.078179723760734,49.62623837946849,50.690687898942116,46.37603282688211,49.435190891086876,51.36998784014383,48.922524999288804,50.71937223311949,51.34948833043819,49.54536211112135,46.839964344331825,46.25322651207602,45.98028398597312,42.49321852850351,40.995104377606935,40.860600084293885,38.33860122982188,36.06624451280047,39.14309688805449,37.72278115861916,33.078049464318546,34.79481110936194,38.151705982066254,38.68384932684436,42.618144646224124,43.63653130190973,47.16755948992906,44.026527656238514,40.252072537185654,45.064037261657255,45.374996217226496,41.96323681491669,42.94003633595602,47.997346435272775,45.33165792670963,41.52653517534739,45.56640007446975,48.71514099572936,45.26346547504629,42.50267086710214,38.17855846257741,40.34973127363132,35.98663757087672,35.34748207902931,31.161653262068175,32.52464409053608,28.745540235465125,27.712384627204987,30.841932407930337,33.81465768439469,35.2390050630709,37.67335170334931,36.006655901155,40.07196683280909,37.99898776172378,34.15910237967934,34.09122448590928,32.59723112581046,31.38401868179623,29.862459891446342,26.749071329398753,26.118877398202816,27.45274427255236,23.875098740415144,21.339381003423178,21.64855516651985,24.351528592051597,26.3649193238468,27.13834921407849],[23.927739742665402,26.53069222359337,30.76020053858321,29.76143903986635,35.47977272873858,32.08276711098078,35.520971766214075,36.72767390300247,35.390293072188875,39.0220402081159,39.72062799167607,40.493414105305085,43.90130953845166,42.27661969278578,45.78426844332824,47.91724728288423,48.52844290125962,52.70928332905805,55.83740630591621,58.578590673471425,61.87318192575767,65.6662809394298,66.69339508893593,66.34183355082564,63.77968114189975,59.50440982710665,57.68961598564599,53.58795375545647,53.22751666225179,51.558267628991395,52.9462259580536,51.855563989945765,53.61256920982377,58.120044328650025,57.3713950194129,57.08045395099141,55.89586774884552,58.423469830226495,58.89764829411987,64.46364888394841,62.58924851778731,62.7954491031668,67.0931493043246,67.38701290409267,69.61322341488241,68.91004505196973,72.98482453327853,71.43864547759581,67.22989088010257,71.90635612527542,73.83592801748833,72.66348297337841,74.80435349440555,69.54139511817708,72.61461581837922,76.03049610641514,72.88549484438298,70.89825165059186,75.32236304325224,76.67952987155273,72.30042034792064,71.86898124794008,68.89158654109512,71.2070184486327,69.83789897119556,65.85248412576911,62.586707004716054,58.878936166204745,56.2652473071124,52.74672981997662,52.27667887220742,53.437660316296714,55.091298936377896,59.51942656249611,58.45080590646107,64.20018463901208,64.30437052079326,65.85714089621666,65.79953258155291,67.76422208902619,65.37122797371583,65.88586774925271,62.65353691231758,64.1152732258073,61.84328764580637,60.01211302234874,62.189774877356164,61.16212343748592,61.45986047440666,62.39303236280634,60.05447301163076,61.71442089262103,57.67450117314905,54.84253180960934,50.72971286741229,49.30406332365072,45.80642803908906,48.13143972362585,45.44735066416115,44.33362273717162,49.35038505834393,47.87709391067766,52.11905907692453,49.94416180865729,54.47467269915509,49.9224962875132,51.49597389628377,51.22423693417949,46.763951405705,46.31908015014206,42.17613076068009,44.51413100120473,41.15749233988841,43.76630130515978,44.112818541134345,45.57689479243249,48.79282843582899,50.63154016427173,53.74899274453711,50.91527073773707,48.1446676274612,45.02847114319012,44.11280634471254,41.964400246103914,39.1868169201242,42.082772916927986,39.06987844519952,43.26502004083637,45.118627326565274,49.8387491462387,49.12955994891234,52.402514173710905,55.09065515961892,55.45594127311554,53.04654144928611,49.918869360266164,48.19427536368968,47.8013254855253,47.10819504816427,49.87433421172546,52.03326530339131,56.68251258646559,55.34056684131129,52.82007656955959,55.50214143821926,52.88829883094206,50.14482763129796,47.93115562566895,46.61547818195363,42.522087308318085,41.80976026523923,39.02130941610009,41.12279977078977,36.848195838863184,39.80495137802847,43.17874598060804,43.799880334554516,45.02609113467275,47.61995328396791,48.32108698547721,50.51073940950645,53.52847931440548,53.63490236832664,57.55696131113769,58.14285051918147,57.05988364426483,58.30122605014941,60.29422578606696,57.012129914758525,54.20111235009135,53.873517615015814,52.654521105877755,55.111024112394325,55.88033608591358,56.06695753202728,55.44790798885996,53.800356092603124,58.00543744433741,59.459462749406484,59.68721368801562,60.36277923949692,54.94652170173783,59.44837850129409,62.21281235545087,60.27688262842513,63.900405899999676,63.1406720102399,68.0274659239502,66.78938720384802,67.29927507787703,67.26876755905954,63.78589377974978,62.61370649795263,59.54267612312684,58.626595675102344,57.294895979429185,52.906175542064,52.07330566055675,48.02619015446165,46.46610226894257,47.04583648852402,45.30944846708694,42.584300613083066,41.95998623319664,42.719805949028924,39.023168662073225,36.72650197029577,38.14319212779306,38.47495144561088,33.23982272715936,32.61001456641736,33.393897050942286,30.859669156165634,27.913910605541762,29.22765759288847,31.167951217511018,33.64516349244472,36.332692146569684,37.94203098601834,39.29308300017723,44.38663138532107,45.400756740171964,49.26767774351049,50.88171851864734,51.57033702458418,54.77750497450937,53.88526398111072,58.10841266973388,55.97989225622295,51.3826510190937,55.196228029194934,57.955902496738865,53.77377699491954,53.03412292719299,57.11369959786433,56.0335749814077,51.60465914387988,53.293894075479145,48.876053956888434,52.40202419978775,54.133017505204606,51.538381125551545,53.610973366811436,54.071576394498756,52.69328162317712,49.861866433908595,48.868064697614805,48.915381766776335,45.65913082245463,43.69130193427002,43.444970001416294,41.11536418267217,38.66121515760925,41.22647840297293,39.82917359386592,35.35927860679163,36.53241568442252,39.594320498423706,40.16752525157226,44.262276178558636,45.71312943653553,48.94880155412251,45.37826947791947,42.04278935616788,46.973132525884395,46.77809128880434,43.34707828722734,44.811127313991925,49.47018583272816,46.3624717209024,42.99561442703946,47.299980099173155,49.92080540817949,46.184189922619936,43.72333824150193,39.66096689988929,41.26860009671828,37.037659403862385,36.059988828335754,32.46351260816502,34.295927167205285,31.06626687617545,29.734339596539783,32.9899974228753,35.677627106415194,37.59101443963358,40.08856778460234,39.07663145222721,43.254306910363916,41.62634960713263,37.468903121754934,37.77056912090628,36.00514533808669,35.35914380504915,33.83651338337937,30.250304949484235,30.030039103468305,31.86691056896617,27.78382315584451,25.08785611069979,25.93058776682546,28.873080138365225,30.971900100175823,31.597232733355597],[27.33333544751247,29.72240360048493,33.75080710971773,32.105641987443576,37.876739138640836,34.293790103416185,37.42953091952411,38.711712489497764,36.84815946786059,40.138166196822404,40.5716449600933,41.59817402995623,45.02177073700088,42.969382179043535,46.36617962376161,48.75358887920888,49.352296805842,53.308118980546425,56.229752734249004,59.24709733344866,62.33971859830798,66.30461442319991,67.11738053471184,66.78435281676943,64.45567975766029,60.08622908156478,58.566877739245065,54.48919092248972,54.153860085135825,52.67796434674957,53.559169505789605,52.947612368789365,54.53038716366015,58.898360450852365,58.36963106263231,57.991600421110704,57.185001131264535,59.57826963403787,60.16329774434179,65.94020564559676,63.83605750746871,63.73966982736668,68.0908114917652,68.54617928027518,70.67634329148645,70.12029023090119,74.21063224715132,72.69712543902921,68.67020816394177,73.50638715680644,75.42763006086155,74.36194489191925,76.40284343342883,71.07146790899846,74.1625109200726,77.37475117270228,74.06703967111913,72.06487222508375,76.453590818258,77.69073412656556,73.13742222142105,72.5169235880132,69.47320064592604,71.56538100966158,70.37991184602969,66.5034378419761,62.880841733273016,59.25743826986048,56.37034115871227,52.83769397280691,52.18608985183523,53.018621701659704,54.89902032251721,59.39527869086491,58.6343544582115,64.3413573520041,64.79500978680339,66.40767516048851,66.6043927071793,68.73561394224899,66.64606250228779,67.34818178184061,64.36788022283838,65.97046618079219,63.53526658062116,61.55203193512613,63.40432900198773,62.45149139320383,62.35023496436967,63.2113563318769,60.599261537889554,61.96235987411215,57.95073581110781,55.28457008535693,51.26273743569424,49.58437555301987,46.18479538210946,48.978953585563616,46.568169342998026,45.817248882203,50.83405189892272,49.88863078661474,53.958175728347165,52.21661036010352,56.908870884542054,52.453844862282594,54.34914463954913,54.12510178779178,49.690884258233595,49.110317845541495,44.83151394276992,46.76287383726186,43.11741643235603,45.47622241931649,45.3625394526094,46.70419322229014,49.68334322857265,51.3870063327321,54.168372217960496,51.42894015670536,48.55924608087935,45.62890836931164,44.84430807861964,43.011159354820556,40.5488624680894,43.81780287281668,41.35940890537766,45.54984733622785,47.67708842173189,52.42012141432032,51.83262371930589,55.312163812151894,57.76031141928194,58.092580783773556,55.455188271948685,52.10540690354827,50.49233502675479,49.65758323192359,48.62064224222518,51.37428387756265,53.13087947859652,57.710133619864465,56.31419061460795,54.00885179402131,56.77049311762504,54.145046555442825,51.47907436946666,49.42428769743212,48.42618736905311,44.30247155122027,43.99299879914284,40.980017646661246,43.38596976682991,38.94755011556377,41.502986091829605,45.01745211063742,45.47131003299717,47.068816285267694,49.32731569118103,50.43764704345391,52.43683377893285,55.12920736495192,55.21048914650275,59.18777787421102,59.960494448290916,58.748349318970554,60.321367939553014,62.248701385898435,59.13368491303685,56.12576324774037,55.96502034681751,54.550791387222205,57.11171359004691,57.88598522214267,57.99490953652229,57.50201946263695,55.544851950488074,59.951596172039785,61.35802629248053,61.818929580784726,62.45597616021809,57.2632726423694,61.89689911917635,64.65454113528764,62.537789743347375,65.88049566044313,64.83366674427756,69.82252528088546,68.37265422086396,69.19976092884988,69.31290058199589,65.89854998921481,64.96655814783027,62.022479977219035,61.28323052828552,60.133200802282325,55.664749926444486,55.092226395388835,51.16546216694485,49.59077618264645,50.51021767071719,48.75738544528596,45.83583100405358,45.416241327685256,46.43073559374675,42.6055733244355,40.17448298259538,41.92440031666947,42.410419516048435,36.97062861032147,36.46879570309005,37.50182793304081,34.847946141849974,31.791799152886647,33.37337060171002,35.12848467907012,37.92852029194875,40.25482290641978,41.92705187604875,43.492080307569054,48.58254397513867,49.77605743156558,53.533793885375374,55.13707279285884,55.686531815855616,58.85288561455416,57.794231283422555,62.0163210165796,59.95868368729282,55.18188168360786,58.90259726090347,61.69461517524327,57.46172675226621,56.56586829239853,60.54498138326756,59.500614966413906,55.02762317550682,56.44691687202693,52.23852613894282,55.69839607007153,57.6129499994262,55.208707664042464,57.21630389502967,57.84388961206292,56.230872067134676,53.39547419637842,52.68849701237305,52.611770496678716,49.1821210933984,47.449451571233034,47.32014370267923,44.89715754273045,42.49709034524922,45.30779469846534,43.91416613730755,39.362107554264796,40.72534248762557,43.89748129025715,44.41411385188721,48.46744982077778,49.736178925555215,53.05503803084438,49.60826540831474,46.058249683722345,50.92015650220757,50.842227762868184,47.37056330971552,48.57763528004422,53.37043320923741,50.29486035719564,46.7018306423436,50.88632520712723,53.64995117402451,49.881508246846515,47.25473776997541,43.08289548719739,44.629100597046055,40.269846096439004,39.68038581449364,35.92285778497051,37.86392614763418,34.52958230463757,32.97572502639497,36.099666915599045,38.72170535852541,40.50727497926008,43.262658474074,42.024447237092836,46.243798334489775,44.308873318419884,40.608133767167864,40.81576627575721,39.31982263811247,38.310587579653614,36.632364147276924,33.46364400695416,33.056106550668886,34.326371760286264,30.5570233909261,28.185280930712842,28.668525356175163,31.36484568249022,33.36874268294991,34.056829214592014],[27.365762095079017,29.498723305779354,33.423568244975286,31.22805610562876,37.139436774389296,33.835318272408195,36.86061502219349,38.523998182607606,36.47736432160413,39.460246136066125,40.01514375010119,41.421435126935584,44.47606143049766,42.11841685044227,45.71944062395871,48.19988165538727,48.47961951720868,52.36679045844805,54.9778044721156,58.16869043899207,61.095345229231924,65.10289620146233,65.72519250327983,65.23418806247584,63.06291544129241,58.685682540374266,57.34356506376302,53.36035386629369,53.28441676977309,52.0986376392537,52.99919587021579,52.68721808832405,54.428796975195716,58.66411697118684,58.02869222542615,57.38208725135361,56.768095850331704,58.79490374952692,59.25735352156234,65.1004373683521,62.7022731913786,62.627713800679054,67.0463725968703,67.4409407055602,69.38922970975429,68.77121634635188,72.89365510994253,71.56032046374442,67.55313028299594,72.38087193712224,74.46019577971221,73.52134286636961,75.6284759937476,70.30120917052463,73.55033392128256,76.62599993126562,73.17798568167282,71.3371119259179,75.7679319579802,76.77986408420861,72.18101939203466,71.65919230238973,68.71259274422495,70.55581134265913,69.31304544886096,65.55554613305924,61.74260280997897,58.28403803832387,55.159654920653054,51.79792259507932,50.93406729553692,51.70965897067648,53.845889706111414,58.264525428918226,57.7862825071103,63.603468092240725,64.05362115923305,65.89758595881709,66.07272977028836,68.13247221894451,66.21235075544058,66.80735571772922,64.05510730344011,65.50117846217294,62.881047270248594,61.006112812918786,62.71782969287543,62.06001345702201,61.70519728998869,62.848279165458955,60.0740791321892,61.4499870085037,57.4993976760193,55.00371543582033,50.89300442175026,49.275220910484556,45.755351449950375,48.88441349898161,46.565908424763855,46.23971094928531,50.9449454592453,50.20021338484477,53.9731592216424,52.332481248362356,56.87308726713909,52.368574950678855,54.42193773743028,54.00157846794781,49.5499264443278,49.12085110576835,44.688454940508876,46.33530205972217,42.60995761158773,44.6470021642958,44.4346856495805,45.49754319165976,48.45093549130245,49.87364934730235,52.660584015607434,50.189755057285964,47.17489527321705,44.37300829424461,43.36349044284471,41.72906990701657,39.4958729425158,42.783100827254124,40.74271785392785,44.9030571739737,47.181275468532284,52.0226447576167,51.23003621256618,54.90914373018826,57.13382811811033,57.67781631677682,54.70618623178234,51.285083195528514,49.48996418681976,48.45121827347068,47.20349225261667,50.10043473069553,51.504673074015045,56.09586898806466,54.876277592673915,52.71611126699803,55.62484649964422,53.20499464439466,50.49647842176036,48.72016912343244,47.93114022094912,43.92977131874853,43.95416637331219,41.12371157589704,43.91142896892344,39.73692820869317,42.051874651639295,45.39789301944859,45.51122359418837,47.15773124174432,49.1343558047542,50.20956488481671,51.82178659127548,54.444516240358986,54.19607818447034,58.317837836471234,58.96720895804899,57.448171895636136,59.18690404663606,60.918464272833795,57.8580275342999,54.79248086337306,54.839817234883675,53.44897220145415,56.25881296740963,57.214551958862366,57.47127576667602,57.23805772470742,55.238905427118205,59.86077857282018,60.98735907163776,61.56081375717751,61.90831424831625,56.87776462230985,61.42646718670585,64.0636458029551,61.80206278274193,65.05236642589573,63.90531381159606,68.83443303661095,67.10382256911731,68.08727048559663,68.17365374013677,64.89823428474877,64.01266500056155,61.14250086386739,60.500154415679226,59.388742580225326,54.838842800661446,54.535749318911044,50.677576213100046,49.31436429477122,50.448327542993944,48.91615489805385,45.80321681165093,45.308498112987316,46.66283382893968,42.89749250756095,40.05160698257248,42.10106439992092,43.039977066188285,37.39100139004612,36.79898597739021,38.17908248446175,35.67356891647904,32.22990484180683,33.95444040392787,35.371011868255295,38.6031804403912,40.225745245589614,42.095481906629075,43.968196649703735,49.002604266939386,50.4026178930322,54.00758581244369,55.74832513174613,56.12762650079777,59.3185157411665,58.189410719726595,62.290120192125144,60.17494360495758,55.262936305171046,58.94539196215701,61.591257523091514,57.25705041122992,56.29798554866496,60.16751741416007,58.983035037779864,54.48228460497256,55.793933389697024,51.852374849836735,55.48262406391256,57.553109949304165,55.43339511407432,57.56938836604685,58.4986582521923,56.78267533717522,53.74091686697063,53.371235541604314,53.44469593522787,49.78243451228434,48.083720738922565,48.30765487895066,45.94626903374794,43.34459501373138,46.3561047554113,45.22345809420681,40.60310476744058,41.827169024562394,45.12366098665624,45.35444151090365,49.36796690442938,50.439030482047784,53.7002489742811,50.31656724153201,46.51884675553603,51.25759267536903,51.15664680799982,47.62135643055034,48.55366407433116,53.37731776727136,50.249327477127025,46.448193274323586,50.50678273540565,53.305825649624,49.4614862577501,46.68951990595951,42.47805670287627,43.83006583908118,39.3913730332217,39.22361346753755,35.415569678893384,37.60986907096067,34.41951702309909,32.45996365374995,35.40234413942537,37.82082683687089,39.597261747025655,42.657464845537135,41.487963502044735,45.77615567652849,43.76106285967957,40.54845910819696,40.95929986034868,39.7561096760473,38.818758287549684,36.6850962795685,33.817312079714995,33.69668005565168,34.42179599858692,30.54330426847065,28.738420574459997,29.465956093350844,32.010698750684554,34.2091387493804,35.14836058926637],[29.74814528111264,31.75508712630145,35.41888165663863,32.9584382691498,38.700900812428536,35.016730600948925,37.73862360588318,39.20452967139003,36.76731416289519,39.553931097716024,39.766875768067365,41.188092332983395,44.42912165194851,41.86775855264338,45.20094081266863,47.84555555184855,48.3050468372727,51.983732191697,54.57886161968217,57.9023714585862,60.7270485705361,64.85145698159866,65.39598249014131,65.04380663193967,62.99790800133782,58.55704633080207,57.39185197143371,53.39337639572875,53.16790465548903,52.00086657602393,52.396733212580706,52.37528179682243,53.85780581382929,58.00340369513427,57.63375366570166,57.0608943510279,56.70536742291832,58.812932861182034,59.46612637098822,65.44665624782571,63.03193901068706,62.63235519594496,67.04030537351807,67.64009047608488,69.61838194722358,69.20719992136807,73.30696739190823,71.87001317540349,68.05542201835591,73.04428373612402,74.98398271618643,74.0651183366891,76.00625121758935,70.62607787158618,73.76898974961087,76.73321654556743,73.2281571428063,71.26415564668025,75.62126003701283,76.65426433243333,71.92807522642914,71.16365649098053,68.10753807577034,69.88004243696072,68.85530596753998,65.14508712868516,61.133850354293706,57.670263015326015,54.458530631433206,50.99760466777434,50.10386031379599,50.61307940323386,52.78103896882386,57.28061853567416,56.91888850825827,62.60486400053718,63.37299246851415,65.13422483433466,65.55694804782424,67.80772680083378,66.090303112243,66.93086839103375,64.30571345907893,65.98446890653237,63.339346495519216,61.2461684672229,62.70803512105565,61.94978939990946,61.358963068332486,62.26787961391763,59.343245689355335,60.43467524017934,56.499756500308386,54.08419726276696,50.130152547233145,48.265076264567284,44.92595826455173,48.29090792978301,46.202620960907,46.017262957124906,50.82991378613559,50.503974944322614,54.23280365980229,52.987002961695886,57.763934781423735,53.42487458598791,55.721068135616484,55.49676488165687,51.12422751680232,50.43154781708965,45.99236508342601,47.36355241793681,43.42006182330485,45.3945137641365,44.76888640328722,45.89580689459652,48.589813031765416,50.07822283225271,52.486441427955164,49.93759794242202,46.954331345175284,44.27515916280053,43.58093176522993,42.14459746889208,40.101525680595195,43.73860127261453,42.01964188049861,46.15197292621528,48.60899044011694,53.35948127661447,52.883595500045004,56.62619756873732,58.72293676210166,59.05330808218466,56.0950903394456,52.4985086085251,51.0118307226214,49.63153106145817,48.1825750065987,50.911682117129324,52.15767119579247,56.62095064638476,55.20514352976289,53.17635039223092,56.033196382191505,53.47018887071585,50.895635940004325,49.10708924600132,48.51832689966527,44.447897152142296,44.68374047823549,41.553735415984036,44.41299649003311,40.00824821689909,42.0220184732335,45.53981520730061,45.66364563367482,47.635775585467755,49.41723870566192,50.92725424374305,52.580221216790775,54.883957923406804,54.84735412899128,58.89259072715041,59.837259677944246,58.43769939638949,60.40796505265963,62.230447128848574,59.34867125365541,56.11799518492933,56.172821547436676,54.54009624802841,57.24332908530277,58.061009574339906,58.12744031460402,57.861074572465135,55.579173600464095,60.2508844522189,61.49116434382356,62.23748400643134,62.735212534092106,57.86937173012488,62.602661199031104,65.30819148703362,62.959751817895395,65.94398950548778,64.55850664685555,69.62288571305365,67.89707310665699,69.10309786701666,69.38570249726429,66.08399078289118,65.45532974599836,62.69312868422527,62.19672119320595,61.2940616696442,56.73341749304427,56.5297630585637,52.80500351486882,51.24057405876265,52.63833750183491,50.91483107501594,47.72640632766658,47.57686727454091,48.981546069900965,45.0287838015954,42.390802018805665,44.62440441388191,45.39887474380023,39.691158579282074,39.37094713566235,40.814376097822816,38.043409527086006,34.807025822407475,36.815316668200204,38.239848893547055,41.57269257298275,43.30926407345816,44.99349007102889,46.91972805567782,51.995321070727165,53.51073150123126,57.05392996840625,58.59556728832965,58.852082366051256,61.9245357133513,60.58543011234525,64.7722717820771,62.84846970279145,57.790658629246636,61.33992750056265,64.16996946251841,59.8910393927401,58.74265534738453,62.542654804172244,61.59586504673571,57.08637025771093,58.067839999175696,54.19302997407134,57.5371559283264,59.71098213875697,57.635497322241804,59.57124439827306,60.51234123719819,58.563493831965964,55.673773691164264,55.45321813315513,55.27283325944635,51.56063991961956,50.150758985660005,50.30401035427593,47.808311715303255,45.41324211152704,48.60949345653264,47.343470316683145,42.68414650163519,44.23960131122592,47.61020670922175,47.940828991538446,51.88972688228137,52.816263885847185,56.23400264196981,53.0323319368254,49.11110756604891,53.814526337323294,53.94832288259802,50.436078261840194,51.19189183777304,56.187354993959545,53.246046214443695,49.28511057612913,53.230609156783615,56.253371767078754,52.52107774388082,49.63265875941053,45.30884977357959,46.86645558635257,42.37017866195213,42.35203530181134,38.3251055677168,40.319462742773275,36.866051223127144,35.05807914300753,37.93489141723975,40.46675248132458,42.00133285099347,45.05116659693252,43.51573236166745,47.729095101805314,45.41703156143495,42.41975360136689,42.547951057119995,41.475018386316385,40.10178300807866,38.10144857269705,35.53917975155175,35.04053399745414,35.482960571863536,32.08318761728931,30.296586996452515,30.510303505928203,32.8441786972306,34.82234029453198,35.71498786773987],[26.401021159143916,28.362404282867168,31.845332063298592,29.594928202354268,35.092798687644176,30.963981387598555,33.63067161735565,34.75772315829606,32.32979977871628,35.32520286883653,35.42281268141474,36.5846363143604,40.092437953122825,37.773126486121086,40.953875141960346,43.516596034527005,44.240887598803276,47.990513134693074,50.89545279562873,54.0407944843344,57.04010646427141,61.11808239242472,61.869640260285,61.69333240219318,59.466288810001124,55.02954743807966,53.682157374836,49.58362123470126,49.106651735565784,47.699352593756764,48.10410778997917,47.84658425731373,49.25370604817003,53.49933457913836,53.170175091684094,52.78895223691674,52.29110044760065,54.68773054854278,55.474596022304894,61.41832639960964,59.27405289850206,58.811643130047145,63.1586687701652,63.82697289280457,65.99342628798347,65.68054926202689,69.74410134794081,68.10419398309412,64.30728128871813,69.34341022681521,71.10226838809109,70.0578798126433,71.914449740038,66.52058653194649,69.52223430610731,72.60031087088522,69.20996103218762,67.09400582572125,71.42711618914448,72.65307279513206,67.96254818989728,67.12408208754277,63.996945663692046,65.99936232914918,65.0005969218971,61.173625991783716,57.36457676203925,53.738323579174356,50.772842883844085,47.15633704783785,46.48768459887294,47.14110961356555,49.026420495446544,53.58049452549539,52.92069431820394,58.553555668841064,59.25251539321979,60.84885245787916,61.250251200217626,63.542270374335445,61.69562778119041,62.63202090324273,59.86268683814397,61.70168863353327,59.18841712808891,56.96245620861954,58.508502279685715,57.524202123370976,57.12134637329598,57.844628805334224,55.05450818188276,56.204793525640525,52.214345960852654,49.655573573200336,45.721184295717244,43.86797206229612,40.5631457633801,43.67703214134933,41.511381182795226,41.125836214659884,46.09018090880995,45.718288755982506,49.58829742040767,48.378965589077566,53.32206994069814,49.0754405007596,51.407579547992746,51.40766582922058,47.098605160348356,46.16223355469449,41.80055424076943,43.2178732280074,39.239818578109706,41.452202432616346,40.80191475309202,42.214071023543895,44.89243444230406,46.70072641213019,49.074508302451896,46.229597672700116,43.401295767052105,40.57951040167284,40.1674039320225,38.546307257076904,36.31818283380631,40.061111131730506,38.13428336241585,42.27609400017508,44.72351280650407,49.34974965506305,49.221432760828996,52.85728271817795,55.028998951656895,55.074246922942784,52.37966223377391,48.75021444863402,47.60570822576627,46.23079124270695,44.91236502211078,47.42074016111615,49.01540904973027,53.42717350473069,51.761163409335495,49.59937484461845,52.295323431264784,49.50871465436404,46.99623911706541,44.961654577442786,44.2607610575724,40.08056490228299,40.17363482038341,36.85293814729833,39.578897060100736,35.040170969545194,37.085574667388116,40.690886484961524,40.9745600906572,42.98671738729263,44.88739681583497,46.53301361472613,48.46833866434976,50.7404199149283,51.044666398165,54.9414264044256,56.09449728827459,55.04551875431369,56.955632356646476,59.03275138189763,56.198163966997626,52.92890599646277,52.770526455162425,50.99052725657238,53.4164018500404,54.029415199837,53.91904324650061,53.46533415489052,51.13999482595191,55.69555741409125,57.13665130754988,57.85740506259916,58.60405988072764,53.6833016101524,58.562427729190354,61.39060997265757,59.11316685600539,62.064685000912455,60.68271639620315,65.84759228874996,64.40437634504995,65.53834898268816,65.938276530021,62.483432921668566,61.94722741376348,59.185478025167406,58.71274930693873,57.93766505817793,53.43540081607781,53.096619051583446,49.4409875903297,47.559610822786716,49.062910170220704,47.05306216052391,43.89403956866788,44.100038156012566,45.390017158488256,41.221666855355586,38.988875802585646,41.27988182703179,41.72236413707923,36.002205580814966,36.02780522668909,37.46202529645912,34.34032149416458,31.439762357133734,33.809832506592464,35.34302433848565,38.72033120717005,40.8695042880677,42.16131848011413,44.07162449072204,49.24666271178424,50.89429378542457,54.37117582981101,55.55577789261318,55.668719571998324,58.58820754890296,57.02404041117483,61.3609461751941,59.68373879006241,54.49705653321921,57.922055186323774,61.041655605115594,56.880493098702495,55.5481654240364,59.346855057357104,58.77351493208796,54.27489642878909,54.969519247308,50.96260784073111,53.92349931484803,56.1045739280796,53.9321879323449,55.64362285084771,56.51068133049196,54.39393621306927,51.6891271306589,51.50063948223976,51.072294143172805,47.363396138000645,46.18482817844895,46.21885583318109,43.59781700000919,41.40173431705676,44.773889807792635,43.380997239528014,38.664716003184935,40.58382226543699,44.05739930022149,44.50161039544748,48.37073219841267,49.1522755354058,52.77024914641891,49.78657683239999,45.75318033898978,50.45602121883337,50.90256503018425,47.44336912848313,48.08498587182625,53.29305586189275,50.66012920352983,46.576934718443674,50.44872209521529,53.76735227652407,50.271099925608944,47.305353947301164,42.8566942065393,44.92038928818001,40.39869582996678,40.26292993124626,35.90158897176209,37.442289866629956,33.58256508828519,32.219882896410574,35.16493643019839,38.01689857803958,39.286433273049056,42.070280842321935,40.11253397946196,44.19804847743937,41.71668081189734,38.53963642628227,38.38119436555368,37.2826198466995,35.59629797309508,33.87417740233572,31.394801751663927,30.54507235892353,31.03809848310192,27.960477383095167,25.96910520973086,25.809794989272742,28.074106590821682,29.91471828124011,30.779271797817678],[30.41454488082334,32.12159013229341,35.35719848647399,32.54198688628097,37.967835769306454,33.83152234620207,36.127769059863425,37.358691653763316,34.461878594418515,36.97945488299755,36.81831803221374,38.28118349771382,41.66330184032068,38.89723218262105,41.92711696410058,44.72660001539143,45.37530607900109,48.81910770588842,51.421158197159144,54.847012762077064,57.57792007396086,61.80411661276642,62.2997996715449,62.12512683454269,60.18262921143265,55.68944991638837,54.69066934278305,50.680364324181454,50.27403848564247,49.13197837805784,49.004437086577624,49.299888454108434,50.53440455626082,54.55807147550442,54.44219415895797,53.932785840705364,53.85937067116912,56.03232766589855,56.908325345478524,63.01301839149722,60.61722434515829,59.850933481787756,64.2287179964532,65.04388542404442,67.06935952062949,66.89846423471174,70.9540106679636,69.38531902900833,65.80205530756604,70.9543407134485,72.7198020983108,71.7924905171834,73.54492679926366,68.12520191189383,71.141471942909,73.99468878671294,70.44080449450325,68.33900586374104,72.62373090198567,73.6939176752367,68.83902526380997,67.82366294589285,64.6666090277137,66.37262223668888,65.56784380031937,61.908347283881184,57.72902053943108,54.25535053448314,50.99538772275692,47.433146432441106,46.54310196113193,46.813117097026506,48.964320146237235,53.53052935567537,53.256028826390605,58.804256910185245,59.868131180196634,61.55102838595463,62.2097513608834,64.6423957133465,63.14744580667977,64.24697618931974,61.78973732474864,63.72383957223613,61.05261322801765,58.711164554130846,59.890147141022275,59.03860428080297,58.19075465209479,58.8776636049061,55.80285927769135,56.62791559376838,52.72087248526467,50.401311011121734,46.604697220586765,44.51779270274533,41.35842209946153,44.97678798323531,43.149033255390705,43.20890335288997,48.03350172395434,48.214658289795956,51.81465539218803,51.04777379868314,56.061930012937744,51.942841783477604,54.56379763536521,54.57672062631953,50.337762592104205,49.31924967984471,44.87720197906444,45.85516842377175,41.66532423277077,43.5453144420875,42.433824696787,43.65408926201359,46.03340017280068,47.64441930059473,49.616311740065655,46.948649676536256,44.040455172334156,41.486969781130455,41.197074477091576,39.9680362224691,38.14421018844773,42.17506851870698,40.87043957932705,44.92972315456508,47.61191855311946,52.21374756504447,52.164303818256535,55.97628949459091,57.87712787301921,57.9241838178192,54.99639375658858,51.19374190023399,50.14296813113386,48.338576853251006,46.67365102723254,49.14853958376096,50.26831855013825,54.546697388866335,52.867175094149715,50.97453551875414,53.73489636086987,51.00071981417638,48.597145094847356,46.79626009007875,46.453468419585505,42.33924196376087,42.86764886573184,39.438121793603706,42.45167262963377,37.92043599045481,39.49076932419121,43.12119801784128,43.180556964485525,45.519395817199964,47.018187220412855,49.02853199956636,50.69215637926898,52.60333819872338,52.830509945000024,56.75744475374401,58.07267667332845,56.8619411660768,59.102346254627484,61.071218114941054,58.432433939325506,55.000834776454596,55.03154020138256,53.08653502972227,55.61768592305706,56.25429494251605,56.091443034289135,55.80609307594211,53.199465911314455,57.93397821359959,59.26906761046369,60.22866797804707,60.88877853135505,56.253852997595175,61.19812562164007,63.97656296393538,61.525230851075904,64.16622720358397,62.49546638906884,67.71269813005586,66.03963098070082,67.49505404067195,68.03108949381968,64.68807582921391,64.39348435679688,61.78449547979752,61.500440280798564,60.903028125013265,56.347292568844814,56.28276695390913,52.77606862580715,50.935909566650984,52.737538651935616,50.77368763994962,47.460924958768494,47.81234163577966,49.34250925880846,45.136673848823854,42.7560735164804,45.313473105577756,45.943703481448935,40.1142374206337,40.2002624712161,41.83948595458218,38.71334933115756,35.70857222403411,38.21515450547433,39.5572058482871,43.170175091723884,44.9409602012364,46.314056899201006,48.405111983686666,53.54983515572367,55.29001117866883,58.69546605264849,59.90715714850529,59.88769491506628,62.767543765556645,61.07088146410723,65.36590081036879,63.74275424872806,58.42044471523366,61.74668074699225,64.848182214022,60.65540193151942,59.19435741454737,62.86555797050817,62.306923357022626,57.797673166453365,58.237117067218584,54.485408776117865,57.39436685785737,59.735634531245374,57.78038564028314,59.44837502352228,60.492417706791095,58.182394268372164,55.463303505087,55.55965868713967,55.06311209496337,51.215387401369036,50.236256502417476,50.41606072711145,47.763183529180566,45.59543983904457,49.140159912407285,47.802744737753045,43.06596217927551,45.062781643475574,48.598724637550895,48.956935870893844,52.768923207738894,53.38621112574684,57.03161969430241,54.1579178118476,49.962550201525,54.56178304935098,55.08352675870505,51.6056756257659,52.00903194039385,57.28850485590527,54.6830718850931,50.42352529751614,54.15563197532372,57.57022661897245,54.05207273299948,50.955641040527716,46.45181923680246,48.40813293258157,43.82140031237025,44.04683351356732,39.62546498980595,41.27981472602562,37.43655350825657,35.85667617708369,38.622613413838124,41.340459372264974,42.486166021451226,45.492299407974336,43.39368610081286,47.47182202343495,44.75152202279214,42.0920957583692,41.88635883622887,41.06716162898388,39.14040335303295,37.244958523938756,35.19054125076147,34.27374952613213,34.21219986314769,31.455934569398515,29.861216390709252,29.488323709410786,31.45796057641989,33.201340975914654,34.148162705674814],[33.779537886324704,35.728092349445554,39.06477751401538,36.67016019151313,42.00426272372145,37.60455433671353,39.93363796826273,40.77805762833753,37.92858807455107,40.62466333243281,40.20460582794424,41.30871215475555,45.10569701781754,42.520921115679386,45.21136490191083,48.00296033380483,49.01566106789034,52.3886008280352,55.20487393270339,58.55653111506706,61.34292943022091,65.58444321962503,66.16917892716873,66.17227079171121,64.19693416009618,59.69881363069994,58.66190681463573,54.59208993135615,53.91585673390249,52.542973682439,52.11918971055717,52.30547812814678,53.224659831067434,57.3047645510543,57.454992190506296,57.23208193033557,57.124781214434535,59.64816531762412,60.70073041787624,66.79004931091711,64.61155522889469,63.69970162946808,68.00889062467868,68.98487864268952,71.15518442354548,71.11236191555398,75.14040693620896,73.39455238484973,69.87236558376982,75.08779587681138,76.67404990086519,75.67321143888276,77.29364762934267,71.84981452123165,74.67472380450445,77.60150640295113,74.13412908447619,71.83285348471699,76.0365877724898,77.29653189037703,72.41869376245052,71.18419172355419,67.88824575633997,69.74649373045563,69.1272977810042,65.41269593001188,61.280107844859614,57.68795906055057,54.57431209534453,50.83962075039373,50.0985031744479,50.23224258331193,52.195927737270104,56.84838894148858,56.42772844301669,61.76641351372152,63.04427992129656,64.46131666121275,65.29671755163037,67.89879263405994,66.36789551734564,67.67848162564883,65.07989187954345,67.23997246501686,64.72893861103302,62.21706262749653,63.396321077565304,62.237674009667714,61.49066772345854,61.78120190535904,58.7725135792699,59.383445942479625,55.44957764660716,53.03593563110493,49.452079458386564,47.14720852438907,44.25007632387352,47.672373749342945,45.9019373826377,45.59636874112045,50.78476919047525,50.964630932556766,54.831754091670895,54.12764498294957,59.36035096386785,55.336667400252935,57.86590263389199,58.096285653752744,53.88563405807685,52.68706750677033,48.391298952311224,49.55645194267935,45.38860548862249,47.50728950052825,46.34785379127992,47.79380374079378,50.084496669921556,51.895826676383294,53.70026103346463,50.82338217020683,48.05070967808297,45.47789133023685,45.46933025767755,44.17890289164156,42.25167040919281,46.345539769352804,44.77900284078232,48.85703687514581,51.44236557470211,55.94626832131179,56.10350681803877,59.764224590580596,61.835231600479915,61.67797883859284,59.0206040785825,55.24506130794725,54.36773745903475,52.654160248901505,51.09120363757464,53.444185692909834,54.73817365312918,58.956530252172584,57.105713536098975,55.1673652518177,57.79984940673055,54.86512608883796,52.55339519398127,50.53260123293557,50.08622206838944,45.85411129221462,46.143727640148306,42.44554039179105,45.07822415280766,40.17022623397509,41.86542861361476,45.74180587594825,46.15573369918827,48.57443800409397,50.26170503639304,52.46170075695605,54.47061383616971,56.325936239024244,56.8860471638902,60.666175326251285,62.16310173126145,61.20125089659513,63.37702035874824,65.48985655149309,62.837647588040355,59.4219508595425,59.31801272301592,57.31596714473699,59.63799123646217,60.09391830948646,59.74864049544204,59.22383692322231,56.55220156484041,61.09558977420804,62.73172960810473,63.65353322640279,64.61540366380255,59.89562073718846,64.95650196785517,67.84785759573222,65.49433831949338,68.13741242891219,66.4716474948008,71.775401689087,70.30319647413873,71.7122083778679,72.31167570967399,68.86230658946926,68.5819303596497,65.93268576587057,65.58602186909775,64.96688674934639,60.45907850259621,60.19658658325257,56.631810977539175,54.62137411862705,56.23817210153501,54.07725704752556,50.94127125700528,51.3507110460379,52.572721339477965,48.32597518590582,46.3054059434429,48.577195055649455,48.79167280514155,43.18421079973563,43.31896671276782,44.60979441664591,41.371741554560046,38.71450737644075,41.02610042208112,42.682805407189484,45.84452315986572,48.212580197494205,49.49449385913269,51.28108145101142,56.463284441062825,57.93729378303081,61.53026032717021,62.672379410897115,62.85437136921839,65.72513077697148,64.122735599766,68.52131497810714,66.92983049270126,61.76073069625912,65.13275527310556,68.33901306956624,64.22333748389731,62.84371314217347,66.60893376291624,66.1253003509156,61.63930736732016,62.2071875910375,58.246769402980185,61.02674016499486,63.22601449960367,61.014947358537746,62.55078715846127,63.28916727288367,61.0647695070995,58.57356218773805,58.33610801882409,57.66074734726765,54.06339486802234,53.07378993561662,52.86893819126884,50.14459232019956,48.221205722010595,51.536127428719595,49.902132649972174,45.262766417893616,47.402739589603605,50.7792517519415,51.44526197454458,55.301805601727594,56.14453813475932,59.82629243829984,56.86144639800142,52.945962904253825,57.66516808722479,58.16174444915638,54.73937921335049,55.42667799173974,60.636586768738205,58.01701140805431,53.9791030044819,57.840767631519704,61.15907757046749,57.6451356186919,54.6975179658257,50.259393476545,52.245324322038314,47.72574440963081,47.61601303155006,43.32822770212802,44.8670656442388,40.971178600392804,39.66806036468284,42.56777318958817,45.38755373699063,46.59669004186207,49.39262101584057,47.30107760884731,51.31404579939222,48.64924009432127,45.61075872757584,45.18118834132395,44.09586444097524,42.03824936878997,40.605089598474194,38.30120766861444,37.055730230888145,37.47300200793112,34.89073718956789,32.776059069665834,32.05879169078153,34.12666277808802,35.55082648204499,36.18793229010999],[31.084706974416875,33.105006931205054,36.342306312777886,34.396788812468756,39.46348790832434,34.7187936049114,37.06567074704002,37.49659927779122,34.82120318971209,37.824219536171285,37.30810981953087,38.008948711116766,42.145175081988754,39.94273199029467,42.44438410432619,45.08682949215071,46.419006631963164,49.903313917139045,53.09238002126709,56.19063258667975,59.20012878333858,63.349941871841516,64.19369446293281,64.37060402505699,62.1668504389799,57.701801474129915,56.41394096796163,52.24471948254103,51.288904908887346,49.59620854025359,49.26099207871781,49.06532617024038,49.88595817327902,54.117321909041394,54.30409716957173,54.34613779419743,53.99170475302126,56.889158730179894,58.05463389559716,64.04804649782089,62.211367295178164,61.3110375281417,65.53566589140733,66.5482280096635,68.9323574101505,68.95297368808423,72.9370762343951,70.98109066712775,67.43134001705552,72.65352169887848,74.05277197895133,72.90112096988416,74.44876297291846,69.01826949353234,71.67901259218347,74.75970797230995,71.46298127815871,69.0056546475897,73.16682879549458,74.6650705205586,69.87564664508226,68.59539058976874,65.22679885744195,67.39543502119184,66.77490147190686,62.91264056218596,59.07654190377947,55.29264568959882,52.50882067420708,48.60512998157671,48.14668998770067,48.478554438702524,50.08841313381648,54.79061950813476,53.97738697794827,59.23896976620015,60.392010059177544,61.58337660624508,62.362563777043235,64.98905258045149,63.24269005200284,64.62704048434682,61.7919180896498,64.091678609783,61.783217964070396,59.172698253196906,60.523845170096834,59.074171872288694,58.64004838535986,58.69399466445005,55.90589889230976,56.611453551274906,52.609438194629455,49.988181934440846,46.44397680939365,44.168255230863544,41.33738560429546,44.34035507687191,42.435607632658275,41.733502707827526,47.166000782089284,47.15256272532758,51.261792263614765,50.485785687180176,55.85516069156094,51.923393466272074,54.35784841274182,54.810503264619285,50.667329530729596,49.26374455579268,45.13061487573839,46.49017065238521,42.397719694447666,44.83399565173075,43.77881549078388,45.54320654584141,47.86996285148734,50.02503533453162,51.870883381061866,48.67651408644998,46.09411998646602,43.347698015379784,43.587370708557074,42.043027725851545,39.858535337257216,43.931042398297876,41.9892649987964,46.061036995128624,48.526679730305105,52.87998725881585,53.33215679925798,56.796887664590336,59.0327569878267,58.606479214015195,56.30227358364965,52.584347503464635,51.98984535631725,50.43964489300558,49.1083703866901,51.250976528643875,52.97965718066405,57.16755070429248,55.10260641312921,52.982981252669155,55.42797455845891,52.27140076787425,50.01252154873734,47.69021543303313,47.031947076773214,42.69798729606247,42.6890401171357,38.821461584633255,41.131712303742965,36.0276966242889,37.892863271122856,41.88970425689118,42.59762650924763,44.967607006529214,46.90144329567089,49.14394218112574,51.53121763586987,53.43864110883264,54.36371695191461,57.96734510151574,59.609377738002294,59.025365474537665,61.03016838843511,63.38833120697695,60.725672446312394,57.35435725446522,57.00225359160404,54.93742881504392,56.95216732721335,57.196704393515496,56.68563427152951,55.90554411596404,53.278858237247206,57.60490709625122,59.50231497100059,60.317346507084224,61.57070927265087,56.72896929170438,61.88328734749994,64.8981421132361,62.68533938846504,65.38263346828522,63.81871540199942,69.18089479395998,68.04612931342278,69.2817853954644,69.94335966415669,66.33682715436613,66.06027695749036,63.369027682754314,62.9652424409036,62.38573860623427,57.98141675655016,57.49204919767162,53.94772874913128,51.65981402746482,53.210751481385536,50.78534792568387,47.791271720988476,48.442720502558785,49.41627613382914,45.05042203738734,43.50107074168893,45.63752671171849,45.428680624905404,39.982147543403045,40.37350070971595,41.48268912191559,37.994822953478774,35.77016985313083,38.21656190827425,40.06583210006303,43.028966636459295,45.93862944996822,46.87038455240068,48.49415155894506,53.71002897767305,55.209138468128934,58.76842760897812,59.6090557794807,59.77717502962105,62.52130423158049,60.82198234498898,65.3449967341602,63.94392637166335,58.79351389586413,62.08619604495916,65.52111060854571,61.55227627055707,60.10169040377683,63.903469097647495,63.71226118872049,59.26824020293643,59.72930739037909,55.57290253497748,58.02756681838637,60.1347957931094,57.73610823334073,59.06616021235722,59.605075280717955,57.34852872765521,55.082789183625714,54.69758767624219,53.804893248692565,50.34787825109252,49.487123342179785,49.03935383316663,46.22887446503922,44.547724360636614,47.847817146653,46.02529005151009,41.43230231666382,43.8495116844914,47.20493811927614,48.06610843821019,51.855467428838956,52.6891248118753,56.49345546496029,53.665731632282586,49.822995085365214,54.56078165267685,55.261964709104866,51.929037573350556,52.66682158891323,57.95391932418377,55.569103327972265,51.58431982818078,55.42904108043891,58.88537195522292,55.58380768819465,52.67725176055492,48.22190606755401,50.58722277302312,46.132664558286784,45.75708479836186,41.33417957208027,42.46241098574217,38.31193993696091,37.48688472603024,40.46518745770902,43.53762267658951,44.58813182141509,47.04837166795106,44.70965880343906,48.56555608306617,45.88106569985236,42.50840735945586,41.8007551642948,40.55926972255754,38.29712447391989,37.292602550671624,34.91199121581143,33.31398484513993,34.04900407814162,31.761770984442673,29.266689023959348,28.180290444920754,30.253446986414893,31.482646772579795,31.949782254808188],[32.42801715516444,34.01305551031757,36.736785252616855,34.14946431178143,38.92858337431031,34.01734304318934,35.830816455137935,36.283852083075296,33.04334592267068,35.504901215729994,34.667243018180166,35.669653175363905,39.66549261125773,37.04771272933239,39.33434266743257,42.1980590212795,43.50042428292182,46.66187060537285,49.62042711879959,52.93629834650012,55.71455367974712,59.98677475358743,60.63731647409199,60.885186921100434,58.91271240606188,54.410211203855845,53.428860578643516,49.33953843522731,48.3814675586993,46.93071058369369,46.0452905909917,46.41047766643379,47.073417681785024,51.061231919162715,51.44415894394826,51.35989015077599,51.44353162207084,54.135735978139465,55.43158204007769,61.572319988821036,59.550741933785886,58.296778752784626,62.51868834375368,63.717992753488055,66.0154091946178,66.23859634104323,70.18914065114626,68.22684240261245,64.93524503811396,70.30099414591857,71.62504539200349,70.58789733614681,71.98404675632969,66.5265258192934,69.16546911033474,72.0120813901578,68.57086779133772,66.10144746211832,70.19761040024177,71.56295275563997,66.62514115055261,65.15904628933889,61.760602711983864,63.68264573844519,63.25180223714152,59.53675673584879,55.39689742085363,51.732129904767966,48.736434052739426,44.85917962177271,44.254185121737066,44.27495338252375,46.0452516798344,50.75357785423122,50.240597459402075,55.4169317844418,56.88541036331777,58.15666683900295,59.17098325862399,61.93062657039503,60.54436591161312,62.11097578557333,59.62438561801361,62.05544121960876,59.59307707915674,56.82811840337003,57.78084244932074,56.452642709709444,55.567984319112796,55.588261007232504,52.530077290915195,52.95155324236461,49.03238128940348,46.649159878263646,43.22759387164793,40.754844799039795,38.05522485012447,41.56334400396766,40.02417025471277,39.90264448340148,45.08236024309979,45.7424900374261,49.477257775305446,49.26613871828904,54.72401304493672,50.998680054010414,53.839694371905324,54.372013419348875,50.370620441129965,48.77821224480113,44.57394113627172,45.34353029110774,40.993696182868625,43.08486526386883,41.47454305053435,43.12551982759397,45.086948557012064,47.150100423051114,48.53671963280806,45.42223258408812,42.83734580527193,40.34158088679264,40.849950321261005,39.675161641335,37.90018709557664,42.336176564269834,41.11009901877584,45.043944020721675,47.80187151000478,52.049463396838654,52.754713175111064,56.4028939597905,58.28594327968848,57.74376965856402,55.24623112311294,51.305013162271685,51.00204673131099,48.91811230011937,47.24600587769829,49.220227881331034,50.560586971953775,54.54231794404093,52.34836294848671,50.48461457603811,52.92024809805692,49.75313846607431,47.65685357464145,45.53490256125599,45.27963850309549,41.024785226323445,41.54696493696558,37.54900204375513,40.264440596262155,35.282216215185,36.4865135154968,40.43902014118798,40.82684891896671,43.59122938720442,45.01990760342112,47.72644727944096,49.83623874920684,51.284682148942494,52.2394391025263,55.80047916484356,57.70848481111331,57.10343706385948,59.46988187223545,61.814223170876225,59.43803363672772,55.85942833099196,55.63348086661067,53.29897275694855,55.30891469139033,55.50288231009062,54.87263430208365,54.26187732243115,51.2936871509617,55.81295949645272,57.59719725019505,58.700162438705924,59.899644071807174,55.427711073467165,60.69615112422271,63.680767474064226,61.279077473424486,63.562721393547974,61.65526406098434,67.10261932777465,65.81733524656065,67.40699926984173,68.29139992606012,64.76147667116858,64.84087650241023,62.359824549376086,62.218005995104065,61.94870186120699,57.52009497075055,57.34902891431007,54.07429044597518,51.701907408800594,53.753521528573756,51.287719648370796,48.07687502426481,49.1161271268135,50.42646676151423,45.92453857310387,44.3336178144745,46.9275184741139,46.90901074716734,41.2763610191361,41.941728567599164,43.43514755863579,39.799154185490536,37.5324769729857,40.43785859973739,41.975440017458226,45.42783093500434,47.86162958565226,48.66636213702123,50.621535195435726,55.81275386704465,57.65776087604534,60.962837937277435,61.62067556196227,61.44163423123829,64.02231332844129,61.97401252309096,66.47781723780273,65.30426333473407,59.86298076756189,62.91221330796816,66.46418654237362,62.5217406685057,60.7634123660312,64.35225533050154,64.40581434372841,59.96937384919972,59.87979660260036,56.04562312773123,58.212315542279896,60.56546538668818,58.489341132260535,59.65803304887094,60.49774838559169,57.858115793028404,55.61744354185326,55.75533845269625,54.69469596376839,50.98071598314491,50.536317051649796,50.365150786674995,47.486748097922785,45.87897224070021,49.5865869147651,47.90363873847875,43.244875182401955,45.90516039157285,49.455313189958574,50.133405603332946,53.75459938069451,54.18107934674298,58.113272809323654,55.625747256540286,51.40653275788963,55.93497967179589,56.945250153754216,53.61875994943131,53.86531593360441,59.380237209925085,57.25691259976838,52.90567329328374,56.45546306129343,60.24714336089298,57.09337680178214,53.93236449418859,49.33472425509052,51.87768203232597,47.33757669700268,47.448078192131895,42.723042251578214,43.72094954510295,39.39474836374021,38.510536230431704,41.22416931421548,44.278128329206424,44.969310607592455,47.561679661366504,44.80238032888575,48.546236960578526,45.45858330654289,42.78771584303764,41.910216833818474,41.12015418074771,38.43144542309718,37.210292707787204,35.54299480638167,33.79061845680773,33.65256927587894,31.951847022182857,30.066048673195944,28.632399576532155,30.208387795217995,31.316256206037583,31.999887209793318],[36.690116547487385,38.428493124161825,41.33930591113665,38.81172031293658,43.70640202433833,38.84850536403807,40.702172802827874,41.12390085653177,37.876620552301254,40.29067039256206,39.346928756030124,40.30117369256251,44.370211042845696,41.69465613580133,43.82791719639633,46.74303275140691,48.11734746238112,51.14317945072938,54.02388274833473,57.416286397097046,60.0924843892616,64.41237055738654,64.9746820818802,65.25276402874513,63.3980747960039,58.88738400977895,58.02889258396149,53.97221413641645,52.985552819348705,51.55547648187094,50.406069029140376,50.901683381726635,51.37271574820424,55.290083866356404,55.85732775964714,55.841319979753564,56.0380602090067,58.76424123981978,60.122510781187216,66.28795034631607,64.23962906386724,62.87201407743285,67.07687306546572,68.35343478513565,70.62188799375086,70.89868634205682,74.83880613762125,72.88327823540077,69.66411276690575,75.05609275052045,76.35891159950273,75.33929788782156,76.67975354759457,71.22075276802633,73.80669564569698,76.60133793874618,73.14338318853648,70.62816641708879,74.66707706779853,76.03271723196991,71.04586104967976,69.44401750443038,65.99514794380472,67.8428758392853,67.55781316340864,63.905644747893284,59.6459131985544,56.026412425731685,52.96459541347605,49.08442518703661,48.42692001707889,48.2166670947003,50.04513724897065,54.75948404335292,54.37398756080663,59.397494945741535,61.101513085561784,62.28932939875324,63.47283900553815,66.33760943802996,65.05558733885378,66.7373603102642,64.2858837455692,66.80048711754625,64.35224777739066,61.52474058241186,62.378114359003725,60.98880391239091,60.00615493862917,59.85431468725512,56.736282915243606,56.92714558028555,53.05553005679562,50.73995006090404,47.4935510479481,44.85716048716337,42.35431109499356,45.91148103526465,44.50154887648435,44.30864176149022,49.59608770284912,50.34331769425563,54.13125524176709,53.99435454839113,59.510942719821166,55.81446178610959,58.6205888636152,59.180824292899466,55.16516022815495,53.57134513873471,49.39347472905166,50.20907230877343,45.862039011593296,47.94240983397762,46.26741165160859,47.88328576143489,49.76224996918948,51.75915717732917,52.99702408429271,49.937798467085464,47.35212892398027,44.95852985854809,45.50328027747256,44.43108261486188,42.729859400814654,47.18020111911021,45.96147653077078,49.90710662988555,52.64885296479951,56.905604336562604,57.58033265432043,61.21777267831007,63.13489273875405,62.603289055422245,60.11035616873654,56.172455558660374,55.818972260973744,53.73025788752954,52.00789502036809,54.01239378275087,55.226289611764315,59.18185954605585,56.999694547186536,55.212170735894084,57.655893753677454,54.486873845062554,52.43195842449335,50.33214361495508,50.11255059304063,45.8536810044234,46.34987913613481,42.28452660827402,44.86566638101186,39.73594794433306,40.95637736111935,45.00289293237632,45.499075155630194,48.317209018191654,49.75074337633384,52.54332219361062,54.6861307303229,56.07064534741134,57.049090587572096,60.59841196538177,62.54225760695501,61.8973182232831,64.30406764943967,66.60556199079903,64.22536945867351,60.642651958561245,60.46217624909224,58.13626185830581,60.16896906551222,60.35414330673814,59.6902984435955,59.04750722402249,56.02569755446279,60.50225160678676,62.35796851932653,63.4830634265862,64.73683334727646,60.27916330982022,65.56129804997998,68.55252569448544,66.14973190784173,68.40450610685784,66.45203445166375,71.91081594902714,70.58362605700802,72.23151194663008,73.12415937662291,69.61407311910628,69.69443050582437,67.20930909952048,67.05171820562018,66.73769990207548,62.29432757839729,62.10250271678308,58.766562916478655,56.436873627308664,58.374200363148745,55.918667471679086,52.76197148146232,53.686442258202526,54.90579454498168,50.44438602141243,48.835121802133614,51.288312933126406,51.20766207922199,45.64204490271727,46.18091482613597,47.517914146220086,43.94680483680315,41.67214714294256,44.34590488323878,46.010446890659296,49.249976193299396,51.825184305201645,52.77146415460749,54.59533240505688,59.80275291211585,61.44186140608789,64.90515622821907,65.68637268919049,65.6713613270127,68.32528903402613,66.40819436452601,70.9227619384963,69.65715449954112,64.32027117595284,67.45630530647468,70.95432647860265,66.98100806762521,65.32888485350668,68.97387372777426,68.90638922580455,64.45574665396794,64.53644734440884,60.651641811703655,62.923278665107766,65.22152724118166,63.054696799327296,64.25014391739263,64.96772234592068,62.42405577313543,60.22286332426093,60.18139937627172,59.11714380589408,55.51749311578646,54.974834894460855,54.64915189070119,51.76948320779643,50.20012080959342,53.7332813613337,51.932065504403454,47.32088978814044,49.92034743129673,53.36209782782096,54.162492503613635,57.862980680452935,58.47211238211506,62.35996968013367,59.71775613586877,55.66698424337719,60.284136730868966,61.15163055151058,57.80883841392985,58.24830909050335,63.66893904429045,61.38795755616701,57.170618431753184,60.839387424595124,64.477289898446,61.19900522298059,58.122966245396874,53.575540576827045,55.92228666063814,51.382168811949526,51.389344519800055,46.8242760671883,47.994142556568576,43.77516848509378,42.794420516155455,45.58706966941546,48.57575292586553,49.42970208543968,52.08009180966878,49.47693129748596,53.27285242886214,50.256931110582464,47.46771415215046,46.615594280388166,45.70178865911919,43.06609889356901,41.952145997416466,40.110363545944494,38.345768104171285,38.42605750029224,36.62978268113956,34.563069628504046,33.148126910162766,34.81827925554671,35.82989258944781,36.35738317683244],[35.73391807311195,37.80655026214511,40.986795929348695,39.15925002427756,44.06903235605442,39.12459162258069,41.3108152887045,41.43833404478925,38.64393348201428,41.56885238490191,40.72609037350941,41.21504154197273,45.62084672764232,43.43457694989398,45.539222195957976,48.23524458544305,49.86188956149369,53.13412125913044,56.39206420953461,59.501898120596366,62.451603736534544,66.65016188658338,67.48726554736301,67.84108410668783,65.71303566559436,61.24122034092208,60.05173744428932,55.88310637587746,54.705035734064104,52.913766390280415,52.097869546948104,52.01751555842996,52.46617285928123,56.625484701759305,57.14527631509835,57.407765182114304,57.19127979717194,60.309886335252436,61.676948732785945,67.69075390319315,65.98104562118881,64.8182068298857,68.96672649957,70.16954315794455,72.62747263655243,72.82675060468549,76.7578219466383,74.66912632697375,71.28397070394472,76.59184167749466,77.81386879319359,76.63076651329831,78.00785247680761,72.57098249248969,75.04689183106301,78.08819518701847,74.8316629673027,72.20404539768074,76.2439111063637,77.85812136770798,73.01020494861437,71.4599329177919,67.9655018638102,70.16520488849157,69.79376495709835,65.96005363891774,62.05860202731661,58.23989395679037,55.51154276686196,51.493573318009666,51.10296435255065,51.17129660508331,52.676835359937925,57.43045513287992,56.6187217964494,61.612829818440794,63.09420093647639,64.05486684715574,65.09570791282529,67.92251665660585,66.28952585649188,67.93730218616551,65.10971605593019,67.65638777202064,65.44830644699849,62.63779877368201,63.83407281091341,62.15319798343023,61.64309447803532,61.3036330338988,58.49082969603925,58.86713599704591,54.903077788166875,52.30824487785443,49.054426707012865,46.514738637136425,44.02040331152859,46.99657944430101,45.30456461157298,44.4615477298036,50.103855462634236,50.32784738918748,54.52554715794108,54.010366044607416,59.57506359060687,55.82593507841741,58.297399479490096,58.96308823723114,54.90877616959721,53.30040864886209,49.29634063514112,50.61454036538186,46.481373459791094,48.97561285131544,47.69370457268496,49.57773025388744,51.68896525747219,53.948507021526936,55.473278455894814,52.16543688383634,49.70081700744999,47.05852553066971,47.60465424175905,46.16528707228885,44.06621174326158,48.283510065089686,46.38825178914744,50.40839851786679,52.87940511937407,57.09772872616797,57.795054008795454,61.17871464421192,63.434780643210594,62.80327337782407,60.67026924534696,56.91473027163573,56.54621225437632,54.89861076007953,53.52799356545697,55.51339241380219,57.217397749261835,61.281760656661895,59.046428714872945,56.996486817272924,59.32854169603721,56.01841780166033,53.906094648610136,51.489219013869,50.88994179101147,46.51641005424596,46.48175745842017,42.370740885907175,44.43765846280701,39.072188859809685,40.80691172014677,44.9811948280906,45.90525646733262,48.46169257975901,50.37356008850899,52.93051388894061,55.50647505302014,57.19316862610085,58.40021968578733,61.85627703773221,63.733491900166136,63.33961811749998,65.41232770622115,67.8659019156243,65.2937730479085,61.8759608531525,61.469205744586176,59.27856678594595,61.12061893836423,61.1965163775266,60.48898655097534,59.55958683792594,56.76894956747732,60.96207465351903,63.08636019191824,63.96260942037952,65.4590233748899,60.69519224446522,65.96471146797131,69.05593469557624,66.87007745904931,69.41703861843824,67.73864147668296,73.1852345894885,72.16560952963012,73.4884003611432,74.27872012633608,70.62192054416928,70.47573307121687,67.82871965346041,67.46231658647508,66.96159081356471,62.597292372509216,62.051956168180816,58.549047416204225,56.112675346699305,57.64705059648883,55.05760938340422,52.16354486324472,52.9629186773509,53.77183158429159,49.360236947907126,48.09039209010287,50.10786933650335,49.609679094302194,44.335946122996475,44.82651040672528,45.741519800444735,42.15588563597801,40.2157817726798,42.58402005375082,44.59026240713272,47.29037647529474,50.53789782919926,51.38126564813691,52.831002852058184,58.0465250499879,59.385381168187564,63.037602343682,63.778093952726394,64.03266425837175,66.71907689043717,65.01541826376243,69.60933819784547,68.29772894765411,63.218358443569905,66.47402329882826,70.01506210706557,66.12785009284,64.66765502435844,68.479108315138,68.40798396163382,63.99015174487332,64.40764449575492,60.18706616735933,62.454110330340946,64.50859323021263,61.99011911276602,63.1528044986204,63.49874432454442,61.2189989811926,59.17804511012843,58.644424760959694,57.542187152512604,54.260255652779,53.51554863886328,52.80008684611568,49.924183406266124,48.501875293711315,51.68137416663301,49.63676748497366,45.158580702512154,47.74840901773824,50.98206754668282,52.067465318389935,55.828479713015945,56.75065344098785,60.60171274024073,57.79453308448036,54.11707798843377,58.88049751738508,59.63271521301021,56.3593103294494,57.20464484820215,62.47124691976147,60.137183509127375,56.253410894440336,60.11891540515126,63.56341014502472,60.302528889337935,57.45468505308021,53.023931268575055,55.42186235028138,50.9971934891568,50.504101543654905,46.13348108919832,47.17185182549825,42.96830392328961,42.30394057630538,45.30887413568134,48.42625712577717,49.44703919344405,51.80496547461038,49.370248147239586,53.13504760362912,50.3889641584447,46.9360192119849,46.01035581775994,44.68401676926123,42.20428112029319,41.54063529836394,39.18246835592489,37.286598586809205,38.15623148521255,36.197967409957975,33.49795432181821,32.05091733661596,34.02077839161386,34.909658949766765,35.12856447178777],[33.18350165687256,34.9985857785335,37.7123356849866,35.88394126002951,40.354935599964996,35.07079227330018,36.952796851811485,36.75796171147639,33.81861271525415,36.69610729802444,35.63068529176745,35.9469701355268,40.519964467977815,38.45754648632905,40.312433393132345,42.97625931565565,44.82341231619308,48.03197837373209,51.471160814243405,54.459722022389776,57.47769251965695,61.63928525430293,62.59536986133189,63.11127073438375,60.90455419950731,56.46183014539171,55.20954699340136,51.015770504573666,49.62638368025476,47.70921098737108,46.74267732018377,46.61834105170565,46.95005851630295,51.11174456548152,51.71384731990022,52.101359219275736,51.894365547228496,55.181790585862394,56.683724514825705,62.67446392021975,61.137136298837575,59.83759517816397,63.910825825176104,65.23258960883958,67.81411995493947,68.15659351235935,72.03840349142722,69.78207608173732,66.49606013502873,71.87086576105509,72.91323865186449,71.68460528474186,72.93294591304824,67.49366316845598,69.8354868683255,72.88595874021331,69.6878129658762,66.94398702675161,70.93192949482214,72.6536000620773,67.81441520525438,66.1695939897782,62.62211667424305,64.94730754791748,64.63851044858828,60.75712162741181,56.97395148234909,53.06796832962308,50.5216340313652,46.40400135640804,46.18277964510654,46.31269662423837,47.59095351035187,52.3641570783814,51.36279540464085,56.27687881146001,57.75453982212467,58.602007815746035,59.67257454836674,62.5534144390775,60.920125911212686,62.687954237659135,59.86028321532297,62.556388282933774,60.42341570041816,57.47898097499743,58.61909291227592,56.79592637358258,56.31895365818804,55.824436156507,53.065959737380936,53.430893854164886,49.45252254697508,46.802544243773085,43.609990850465735,41.038909256547505,38.6314197778212,41.50604508279505,39.875107278132916,39.041023999974634,44.70770047823099,45.12764657957438,49.28997078705716,49.013158659382036,54.70866722825153,51.14232650266923,53.77121029090554,54.64539020717133,50.737733771214934,48.86984665135402,44.96295929786894,46.088635551337305,41.89624331997947,44.44475942597647,42.97346332609361,45.04950324915343,47.0038171994258,49.486039263992,50.8358225512132,47.32452582403606,45.028082454824414,42.37072901172652,43.243367606663945,41.7797530012005,39.689610139765215,44.05026618805112,42.25519585056316,46.169525609126616,48.698833321606436,52.723790973357374,53.792524404576376,57.12216861101046,59.29427908560188,58.39269882631547,56.427439142303186,52.609104292043796,52.62897293485799,50.82482607650555,49.470758229098266,51.194745512927575,53.05335677403415,56.96909038742338,54.50641939427927,52.439924773225236,54.60818444910502,51.134047546799145,49.14940365467235,46.605170077373764,46.049190578647185,41.65882665929058,41.68046222344638,37.39012930105029,39.445113527158114,34.02893580614565,35.52201486880003,39.742390272195536,40.70301598944007,43.41862247270199,45.24364485215256,48.059446463756814,50.76165097254237,52.25411986793101,53.753486773051925,57.03836248743966,59.157065941523605,59.05231395729166,61.17371131265872,63.814290838632246,61.395062035432645,57.90913295771997,57.370829177935875,54.99230379657901,56.582081238339796,56.46860392894302,55.57859594647611,54.5536800704941,51.6320377666802,55.76286985098015,58.00441452459248,58.95004405519203,60.62470107746305,55.974446776883454,61.364856328729736,64.52521359181144,62.34778345970926,64.71305740076704,62.94514820382509,68.46862451454001,67.63498927708459,68.996792560699,69.94758857090723,66.21753244752533,66.26809254644134,63.71123653427474,63.44705533186606,63.15850108760019,58.87656567375189,58.343851887410025,55.03525637181139,52.33797780853735,54.13249692017113,51.32514767462877,48.41327447163832,49.64638512525538,50.483059920124624,45.90956589512358,44.98796812855761,47.195932413038705,46.507580515940774,41.25630408502099,42.13336569575732,43.176624754801054,39.31384461352252,37.69200237221445,40.485315267796636,42.40456908452966,45.29025298184493,48.596742852947045,49.064991161727875,50.62136860505256,55.82660333023386,57.446687795608334,60.865199023797224,61.23823182491928,61.22876162259325,63.69426732522097,61.679046131049574,66.34047304312838,65.33347436794817,60.08057690444771,63.10297291739577,66.88852895807065,63.14299000404143,61.42751120389242,65.11909337934176,65.43872016503988,61.07438936756046,61.049875226298475,56.89505403222706,58.717250066849154,60.848742518483625,58.408568235646584,59.311405876578256,59.71915543712134,57.16367792473399,55.304120234478916,55.01662929893201,53.65248258271504,50.30395760078838,49.93361510416099,49.24166800321564,46.267398834881725,45.0705141097195,48.52069455304617,46.45729081511535,41.976039155137805,44.93264643999997,48.29016335061605,49.37132122658475,52.94638662684174,53.56335900481894,57.58514182516465,55.134602046441515,51.25108641490518,55.86368374157171,56.98843630686018,53.80075396449861,54.33850028643125,59.80517781812075,57.84906998892378,53.765599456203624,57.400531523261414,61.17546629521192,58.19584771294204,55.21861217706974,50.69891916218876,53.51896810379475,49.113873578212385,48.73696193507284,44.07843355024325,44.68249348898893,40.18964769215851,39.88682142077685,42.74948463260161,46.038660406060366,46.68640872508733,48.82943045495492,45.954177983290315,49.503441021406225,46.51430481592692,43.24823889144115,41.99808806910459,40.84590474115943,37.95783464475073,37.48990424118435,35.53482298618903,33.27944844210288,33.852965438060885,32.507782516840095,29.91733967263332,27.96116449111409,29.60528707252843,30.25209451997506,30.49610424813704],[36.475964846000906,38.02570477493776,40.280591002795994,38.27063226418761,42.27865813203854,36.72169852822984,38.08630309526006,37.540343313050705,34.237432720463275,36.72120341501355,35.15537164750167,35.35409833918337,40.08459764205319,37.9296547076101,39.203766855260056,41.96719929293634,44.124910857136406,46.94110217812419,50.38285459373557,53.399838445422816,56.27122647459094,60.484566712246504,61.39521143640166,62.1594975500408,60.09803283288961,55.67736959606097,54.62674166287856,50.495729386815825,48.84089672171865,46.919722358262256,45.226648999719245,45.453351935291344,45.33768217221892,49.28370457532207,50.29483917203955,50.85842543685253,50.98330305123624,54.401916704711724,56.17769135138686,62.2051775291191,60.7659628733512,59.03865624881006,62.990159292954004,64.59746180353407,67.23814578364096,67.87979298292795,71.6628383599964,69.23545075349888,66.26151247229183,71.77519013252507,72.5619103100879,71.33904831530441,72.31771759008211,66.8882411384615,69.00222841955278,71.8965833578803,68.70302248103093,65.77821207513502,69.59600029859499,71.38921477576878,66.45918003564542,64.46988969616899,60.79682944614591,63.07567774212051,63.09330923231561,59.30414094929404,55.40468441779184,51.512496454071695,49.02267666065087,44.812619379952736,44.667335609248795,44.4592673306983,45.59531323513921,50.384513318790525,49.43971651213851,54.01385822835683,55.90851094020247,56.54386363187876,57.953619240170056,61.07219721021127,59.71549719415446,61.82816454065139,59.19387694792352,62.1998209419698,60.11871248684544,56.90028812572805,57.69066384166393,55.6860535944752,54.946754515387504,54.0425599517871,51.17466247310873,51.11543234682023,47.229530859347484,44.71196767965543,41.88985284406034,39.00465732581802,37.03009893628199,40.04437482371553,38.82633910992417,38.18581339770067,43.83645506428901,44.87059495447083,48.85600628369003,49.17288123443984,55.067743753664054,51.848965774450676,54.74614237744562,55.89632827280744,52.214978321714476,50.01730586726501,46.2516156134711,46.97439453343003,42.65771411571089,45.08010019124599,43.110774963134745,45.28780531226491,46.8103036768229,49.40963044086505,50.19807065075582,46.571528142460515,44.47656693893317,42.045251334712894,43.4222910587828,42.21641681990853,40.412477844667116,45.047092620120544,43.678566651423786,47.402493744765366,50.070875896281706,53.82843066520533,55.34253366093268,58.652546530964365,60.62263068812309,59.40721294222421,57.56212775184243,53.61650789358569,54.10229209911198,51.93300245221912,50.41334287518829,51.81122470946278,53.526961789633496,57.15501681609528,54.41697967627602,52.534005060104796,54.51593262898379,50.872651010925175,49.15685302209165,46.602571188777446,46.308608318088034,41.97482497266039,42.255154253020805,37.70051310907059,39.72799208967703,34.243316907593375,35.158036606523325,39.44942374379599,40.42709003014459,43.52033378901206,45.019205982955256,48.389714174537765,51.13240873755191,52.136109984120445,53.98561929808111,57.03436973794003,59.55340579550011,59.70768544212635,62.055596315504914,64.82586968813114,62.685867736204244,59.06340958548905,58.48956275881299,55.83055226434078,57.16526640344333,56.817549165284696,55.64591682153073,54.55278129491231,51.30250098172146,55.360589200999556,57.7616652234858,58.919871363954776,60.824108108375974,56.492105976182955,62.03843043633067,65.25214228916164,63.021134469162924,64.98268312368053,62.93664258737324,68.56793408377638,67.84028726409498,69.44205675681246,70.65897434790598,66.91581263540661,67.31442759170449,64.94086875608885,64.87092053496272,64.87638290589577,60.67358033131387,60.25622430269452,57.20205531249374,54.2764345431248,56.38596266155365,53.378703589761045,50.44925124572046,52.12599919431776,53.01345790502243,48.317270318031355,47.702148355522695,50.09754094123768,49.242057676587265,44.07052249464319,45.27012054660396,46.4041219664607,42.34607182061614,41.00923194315581,44.08502926696928,45.917700044432486,48.91081775933065,52.21850726095133,52.434742816394255,54.06398012558705,59.22937898073631,61.01468535483354,64.2681205727387,64.34715909643653,64.1292873186462,66.38311057047261,64.08324306108878,68.7914454998326,68.07928922566569,62.68989581356327,65.46487562166311,69.46276869131313,65.85502690779705,63.89485279288668,67.42760794858063,68.09869670830243,63.794713002107265,63.310300892367216,59.30890519067658,60.676173952744385,62.90700362129149,60.58233216535909,61.182228949728355,61.622940688774825,58.76878697780978,57.16545440768526,57.12889028430338,55.44177099955031,52.088577029871196,52.15040981044549,51.42389087120105,48.35854903262192,47.4707912453463,51.110813789495374,48.975394983481074,44.578919684179255,47.87446338976828,51.26662083800804,52.397291396946294,55.782802564988096,56.14276851975353,60.300036328234064,58.17454193499212,54.16542072332025,58.61363605275508,60.05503108417944,56.95674123828093,57.21821481309683,62.82800037873094,61.17630057376221,56.93446343104236,60.34357898997771,64.37755003690842,61.607954207337855,58.51837928465284,53.93960980388231,57.0081111517812,52.60755096960937,52.41124678916275,47.567552625887764,47.898502658101094,43.223191503432524,43.126181442733085,45.818578872283624,49.16962660229839,49.498954983478555,51.53843135791849,48.256462557190964,51.57428306612857,48.28503828680351,45.390336139267546,43.79886801335132,42.88385594859801,39.51207287156888,39.277104689560936,37.85414605586891,35.22257277932163,35.35388392935809,34.77050769244497,32.408616164216525,29.90847468757037,31.07321138334852,31.31086863972234,31.488745520723892],[36.658999672129426,37.890472072570994,39.70376472865803,37.42863681238122,41.05309418876064,35.39333799679846,36.32865750954951,35.66624436634088,32.06108714930353,34.170657138553565,32.329476033046525,32.60230420303059,37.27433906548982,34.978175831743165,35.96861990629813,38.81697368014198,41.05180810633123,43.62783728472352,47.00668551148798,50.06602481695058,52.82784185245033,57.071396703873226,57.927641630834955,58.79883216851056,56.83490411112976,52.433043947987706,51.52460118262139,47.455789939807616,45.71226991502647,43.880363869717876,41.80723417380755,42.33661739897054,42.07053926961945,45.854451490091336,47.01469589186217,47.562918751645654,47.93783081070071,51.29738185708593,53.191227559830956,59.254156637660344,57.79829269432965,55.83156609661708,59.729591479514035,61.476607764927344,64.10972941527024,64.91351648868616,68.64011427141972,66.15420492886253,63.37048655486059,68.95961091294905,69.63316356130895,68.45540893815442,69.30101358130221,63.88066479853577,65.92537276173647,68.68518212691545,65.44869583090812,62.48572141712756,66.23251707455131,67.98736528457351,62.9996310327645,60.877467539514775,57.17592207319768,59.3684611325242,59.51782373010214,55.801356425201824,51.80536257656317,47.95412009452373,45.44930977613191,41.22725495968789,41.090475900534,40.72981901525673,41.82632306276472,46.60868923655855,45.74309506797846,50.210753562440146,52.28094661538873,52.90623806106461,54.4586436249855,57.66455143837201,56.51022992412297,58.76252137855329,56.32942495671916,59.44892972257366,57.3259948647286,53.98870013419695,54.535035562817,52.545457406198835,51.57437456823425,50.582826085712014,47.59610877016631,47.36472386203621,43.532991249835625,41.1364577480028,38.44038715906708,35.43084349634718,33.60948913153626,36.846691119085726,35.894732313106076,35.609753753070095,41.06281286601525,42.55652564926255,46.27788767225358,47.001772229380315,52.94035555841181,49.92979447898892,53.072721169983296,54.32549418389846,50.80598677123511,48.44181685284944,44.72043524101212,45.050731602451734,40.63416661865628,42.86478886453276,40.542784341099235,42.720371502483076,43.95722589775309,46.58450532255158,47.03852997377589,43.38759041701752,41.396552991413316,39.1261788606599,40.79017440688058,39.78458158805432,38.228790396244676,43.03876447128447,42.09495230423799,45.65375656666571,48.461054354816035,52.05186852730625,53.81721211839185,57.170993303940215,58.91344606275282,57.55069583970499,55.683001173323596,51.635325794334314,52.41513681105248,49.94059845857855,48.27392004086697,49.459389050402216,51.02664447367125,54.456874892182874,51.5743037741131,49.83383094595971,51.72213525738356,48.03024355284516,46.47451760073768,43.9963149769632,43.94101838077216,39.69943557683133,40.28736465673614,35.65921791029848,37.87513498838976,32.54332914621046,32.94474152049075,37.16416087961052,37.961924053921464,41.3061247774165,42.46896160513964,46.167742189581034,48.78591274783418,49.45380329086547,51.42755762151518,54.35852074374131,57.095584960806576,57.354624702332764,59.885946904235325,62.70173637602078,60.77838324721818,57.05713919935053,56.499837644338,53.65476050914848,54.8746707400456,54.42808373546755,53.12954670647619,52.09777587281604,48.633823322093676,52.7442415929186,55.113151273429686,56.445461423582394,58.375321368290265,54.315568715779996,59.92437692694873,63.12568815628798,60.81446520538077,62.48010234566953,60.232881294403526,65.90555786207224,65.1771766924202,66.9668019435541,68.35167295123614,64.64103201479409,65.29252608815416,63.07454659385921,63.17364390351739,63.412811806407305,59.260411820125206,59.010918148087065,56.18604939645966,53.1580394739721,55.58975848240867,52.52298208649938,49.5056002644226,51.50173384599882,52.562754310200724,47.80069053918183,47.27807524562836,49.93420118561684,49.13679012865311,43.9400089065502,45.3721641972527,46.726393511905535,42.57615482346074,41.320228791095204,44.6964247980267,46.324457419096326,49.58616874443544,52.63307794789778,52.676305558485765,54.492350047010184,59.59598919489468,61.64263588461589,64.66972867728386,64.55081756637787,64.07370109476305,66.16340659279224,63.60218992253991,68.28762883433251,67.78775314110072,62.230988565566534,64.78865417018925,68.89599709508104,65.3669638570149,63.18398295003984,66.54567933509838,67.46108017281118,63.20650178882566,62.307493652366134,58.5213960333448,59.587229398194,61.953552582253884,59.84168949560398,60.274750309465205,60.89745853497522,57.77573417325197,56.25040414646314,56.57385596823191,54.73946571215294,51.25312112893963,51.64867516297446,51.095677069309595,48.002683569935975,47.22032504011018,51.11834098568419,49.08817910774381,44.70594513220368,48.179336370140845,51.67610232995873,52.68655642433369,55.901464859219814,55.95243649727735,60.190259559525856,58.36155525825705,54.12705147643539,58.382548073942054,60.08085140843653,57.03425203445979,56.95009547215083,62.69253822169869,61.2964647357671,56.8454948090704,60.00691288221838,64.27929045387846,61.69026434102177,58.46123880917067,53.82906022576246,57.08635912112073,52.695116776750176,52.76379020676215,47.74183495245947,47.87294928404123,43.088201732636584,43.0780918059472,45.5591549529974,48.91517324446063,48.94905261114044,50.95351508269632,47.35624084854831,50.503080613375275,46.96448376773266,44.53078855025236,42.76827914258118,42.16387950206914,38.48703404300331,38.21135931096649,37.32336362581632,34.553371410444925,34.11379332218387,34.07509013558717,32.11872219852995,29.352014598028077,30.094979497919283,30.173846098521143,30.483535418709117],[37.10985426586214,38.60304558337684,40.55959867761176,38.98666565726243,42.49240262248256,36.66521751572286,37.81911191597996,36.6996451802675,33.541902535481846,36.12687622138192,34.275717668757025,33.92533258195505,39.02663653396641,37.310036050133704,38.076213639025376,40.6581155857228,43.276418875899985,45.9957796410554,49.78041786944567,52.50317648637419,55.51147346423187,59.606364618690584,60.75155916515962,61.77822049521003,59.569738921198365,55.24198912043525,54.03048092403345,49.87916622511109,47.843656554602866,45.59266215746922,43.688834429532186,43.6254885321327,43.16103709229068,47.14345269374017,48.393336073117126,49.34299698217822,49.3333178596201,53.19093420801691,55.17809860068521,61.054580237885624,60.0228684783494,58.15996105670147,61.935965215720415,63.682930622285475,66.54029154100374,67.3504999200566,71.02654473618398,68.34435125720925,65.47979668098898,71.00633473104688,71.50482347683575,70.13216099156347,70.92169957617836,65.55039638674114,67.38163243988254,70.36364501807316,67.37379636092334,64.22594306525272,67.89812169861776,69.96453194834652,65.12363886115563,62.95082476350049,59.170821722215095,61.743248694979734,61.905830716264646,58.03368140147289,54.43888911817595,50.39317821951927,48.31332436087412,43.94934902750468,44.141839815444314,43.99598652559491,44.66968380496349,49.44922873194872,48.115244566030945,52.38758021586363,54.32467915201706,54.59365878247404,56.0907655552123,59.32192181744267,57.85430487913675,60.181660966521534,57.382678793117094,60.64411001822608,58.83256498690544,55.4281860343503,56.25470613704977,53.859687108876116,53.36790876427739,52.00224446564595,49.369404174743266,49.207084109963496,45.329829702519994,42.65687616984728,40.118990988356245,37.150319048166914,35.52528911449216,38.029096846892564,36.87681741972767,35.81051169755216,41.7000226165154,42.764005875084806,46.92410386292292,47.40761702531013,53.47145095016903,50.533319370378074,53.37557745736536,54.85683459183972,51.38045203423444,48.87857644024854,45.41859474576394,46.195108515256194,42.003552636178874,44.66287882561767,42.655234824967,45.15136194947691,46.51708755007619,49.45594426764871,50.05944134497607,46.13065312050975,44.34864091459897,41.88351723285221,43.66390909676736,42.3307040476878,40.41860153853474,45.02044312756068,43.44815840364767,47.024314797772604,49.56433883384026,53.01112240553268,54.95299378353146,58.0073763705489,60.06233922124985,58.479042674459706,57.06622253881925,53.195341934828825,54.10271260088076,52.01000401056871,50.680244611998404,51.748536220988456,53.8025153739046,57.25325854698943,54.251438422214335,52.28452396013292,53.9821729045015,50.09618819615187,48.567311673697155,45.73153732378238,45.3148808772985,40.975429578733426,41.01027306428743,36.238529452734156,37.78397099398473,32.10513290861638,32.948206194220845,37.362019820645855,38.71575357262535,41.86313569257228,43.49245134442088,47.092664195899005,50.228342600894585,51.08551652004323,53.42652976319654,56.16655065311615,58.95206669666437,59.56272202416854,61.79506751462098,64.81596552963606,62.77081194863627,59.191877030432785,58.376395291461066,55.60221989037624,56.523070004634754,55.87408111372169,54.43062578973401,53.03597791244,49.741790274453585,53.46549476602687,56.21252413795138,57.32271940548018,59.620647169617584,55.32248706835492,60.96281239549442,64.29267131054452,62.21421988139474,64.07173261059415,62.05036995999561,67.73225592966763,67.3852916539452,68.88135693969335,70.23675231431517,66.36543152419304,66.87638839482928,64.54233540148616,64.47313838828238,64.60087039779394,60.5724684677934,59.968983821623965,57.04727279972803,53.82053116132841,55.9124049525112,52.61691330645911,49.89266745155658,51.91075395526754,52.530713237022425,47.7739354020332,47.74552623837374,49.9919530352734,48.65973325616924,43.821187234560725,45.327877548649624,46.25510980880499,42.0055004503484,41.23283628532023,44.39638457155933,46.3558639145758,49.077183592352576,52.84584116459511,52.68437333294304,54.12266120184949,59.22335842774862,61.008937341161285,64.17062098602247,63.88456915477202,63.62400677653293,65.66654476830257,63.231121153129145,68.02751100955516,67.59191516624844,62.268395108431505,64.86698362520902,69.10133488111,65.71886710759419,63.65906027320214,67.14828380501997,68.18000474047305,63.983037088245815,63.29322447656909,59.19501756112499,60.09433691527528,62.221022565187845,59.75320484773474,60.02975056596752,60.23791827844521,57.29571915995546,56.060158047290415,55.9157609488253,53.896626117113755,50.77652828084006,51.11607708072655,50.09342061400409,46.95913102893402,46.48328587740841,50.0618180253646,47.71372319353039,43.51618306845022,47.139158781517715,50.4209093644672,51.77536452901399,54.97959286323918,55.276192044006685,59.53082722765891,57.651954033083776,53.78199633878812,58.13650096989178,59.83157167275768,56.896446820840076,57.153797044406545,62.78112503215513,61.43796784402673,57.29133702389582,60.58546932152508,64.74163809760576,62.24050588392322,59.21782930745782,54.69123704171903,58.084463671266754,53.818077454921514,53.42005306200707,48.534909266610825,48.43534190346236,43.60628137280008,44.00120074207251,46.651873714129195,50.15824916406664,50.27485408920786,51.937691666946606,48.38985289795076,51.42259616396697,48.09088662211001,45.028610822770304,43.056379550375866,42.05977058001002,38.37142351442548,38.731273630318334,37.44085017184888,34.36328797925291,34.70271435951466,34.74074516229882,32.14108051052694,29.112872058764964,30.02514257377232,29.80714509600599,29.67603763671922],[33.173355310845395,34.81560985348937,37.05579122121529,35.575759323686526,39.41453356325032,33.73757142273996,35.28080938854416,34.451650814984696,31.52733914026019,34.44840429046173,33.014620156218434,32.812643267877895,37.78726768429553,36.108242730167525,37.42320385704142,39.949287510617616,42.27787419952572,45.36298412775071,49.14833486047044,51.86890476347724,55.01309671749136,59.07993377471264,60.26074286549274,61.06396463621312,58.722573874937765,54.35965292623235,52.97246567815206,48.75083574590414,46.95403646262663,44.7224690817625,43.47623530061948,43.130842076100585,43.11754724677956,47.30811447091352,48.15531260658364,48.90594431577581,48.62074410430683,52.336095092286996,54.08073980632691,59.95697495651544,58.810504052625,57.31523991280947,61.21881123894044,62.721464256073766,65.52650278081195,66.08066908759973,69.85429025310134,67.31894220655258,64.18040080750357,69.60813970180065,70.33499054642581,68.9745652608543,70.00587944063516,64.60376418249803,66.65729818599033,69.77270352211586,66.75180856009864,63.771607547330795,67.61996953026541,69.60113767559203,64.82244510491229,62.9700150794407,59.30435945503974,61.90543545423371,61.75790152670528,57.7937506664055,54.27646097817435,50.211481407744984,48.05327019214813,43.76032630714835,43.87313828282801,44.046903206424695,44.871753478653645,49.65700758683064,48.28404161478022,52.92036040853202,54.46218418494051,54.97074514772505,56.14516772251181,59.156044261928585,57.45310473857284,59.464861914467775,56.51455879149837,59.49518494578012,57.60457760197735,54.43669639491743,55.55884755550067,53.35807541599984,53.06761054922484,52.12604942559806,49.55682566601473,49.811930967463255,45.83148652359684,43.040244952718055,40.10237421313791,37.4256990798306,35.33925150413054,37.79578210165163,36.25702537501581,35.09911922450029,40.99083389886236,41.55329858872768,45.84282251380792,45.83256141230514,51.745603421407125,48.49249138021986,51.16531583635404,52.410167017280656,48.736002279125465,46.48963281008256,42.87111801586596,43.93451302877731,39.79790991273792,42.556089947600746,40.9316780219871,43.35267464236201,45.08582239815414,47.9356841014797,49.02587349869088,45.18032303406577,43.20831127159427,40.53280427249616,41.904518187345474,40.35244946752147,38.201391954591124,42.62646195342194,40.741365372276796,44.48334933660982,46.94742894127508,50.630736040676815,52.226554075317644,55.33160631739487,57.52533592213101,56.197819220874365,54.6511644968576,50.85181852811329,51.40252007502481,49.56459558364411,48.352834301922,49.68387802178219,51.85831251359458,55.555076003189306,52.767826018948874,50.64225241697853,52.509380838019894,48.758259989267735,46.99016302521007,44.16405100335073,43.54649230297717,39.13470109032602,39.00011636236147,34.42157440362447,36.08930334240468,30.46108603332927,31.77254827877619,36.138440234480264,37.419728582685465,40.281414056395015,42.15982688407855,45.31278441551055,48.39119420493951,49.653207135980765,51.689672725680786,54.648867046386115,57.1075889127909,57.50167129818235,59.56918872567538,62.49085778824625,60.23063182988343,56.74019919542851,55.95585107967193,53.385877168078395,54.52789734477875,54.0816905413212,52.88057081623088,51.57187307484161,48.53175164446396,52.380207928224586,54.95765595073633,55.91097494124836,57.9857341637938,53.42348121507069,58.9568918889969,62.24491490888245,60.18475010484482,62.36777115795382,60.5596943263605,66.16741821477959,65.71250297640607,67.02989231936508,68.17428997070127,64.31080445455663,64.55572828528473,62.077764794612186,61.86933052038989,61.78373829917073,57.672834477410206,57.00541797513726,53.89816887710566,50.83619434552995,52.74247081347619,49.597628533638805,46.84272017629828,48.56019593612974,49.19153802558877,44.493461492339655,44.21730616628225,46.38905202232854,45.219482292938714,40.25948598332848,41.568926328309026,42.49441937501569,38.34897866609032,37.35080961716196,40.39948719768171,42.381528238718985,45.11492733343573,48.82101553905029,48.81517281190041,50.257275197971104,55.39709494255538,57.130979369705045,60.37571566597172,60.291857006445845,60.133241274778285,62.32862659567608,60.063550578739395,64.82731101562894,64.18084950070121,58.90528294107214,61.67734320524572,65.76473047833328,62.26525546770499,60.352987488609465,63.95113311277591,64.73790556343343,60.487045085582324,60.09218495929469,55.895938909324,57.131483393475904,59.21802677988164,56.698929634023344,57.21724485468435,57.46142725400848,54.70544633596237,53.23020850062051,52.966928639456306,51.20765759308608,48.018353855488364,48.05123839026182,47.12066618554054,44.03914557704589,43.292560899111635,46.814027382788574,44.55805689066849,40.24320896635134,43.64192367643836,46.957877223938034,48.22763686004828,51.569326670147206,51.999757373512125,56.17767727295531,54.08868550777063,50.232060440283064,54.698118931522075,56.19602981714666,53.18267015163759,53.57883749499752,59.145084089967256,57.60767881717995,53.51743934690419,56.95091711688272,60.967471552182175,58.3328070520733,55.355768192282106,50.84718957114219,54.1061403189941,49.82798635004531,49.34548252179138,44.53907443150373,44.597688606123775,39.856386289698406,40.119779746373986,42.87231641144904,46.354951504047634,46.65635094547377,48.39843189302243,45.1029081396052,48.313959754430755,45.16805798506493,41.86913251794029,40.1432978030497,39.00655929349389,35.64439034880583,35.76579632496195,34.12126045132667,31.306067255628236,31.902336043219375,31.393366598075005,28.65633684655008,25.979409829553223,27.246393327631278,27.376645443542355,27.374494671125213],[31.05797339312371,32.379248506001886,34.33633334795392,32.35244371787881,36.12331616991006,30.47977501858692,31.791897776470798,31.22065523367795,27.96323381915205,30.598342297529882,29.18499472488301,29.377951744176578,34.082899876323225,32.08113391507434,33.587965773597666,36.255786127736734,38.33650172870986,41.400435953632226,44.994956118996015,47.874785024449245,50.9261510824012,55.05950572121621,56.11392601646441,56.81769280930087,54.564299359391825,50.16050537757799,48.895345473579376,44.70362602763929,43.08040252677262,41.086753291371174,39.852189781402416,39.808184811719045,40.00981278429554,44.12060176862717,44.82352839136389,45.29658276962579,45.201077932008914,48.60298177415708,50.273743015490595,56.262277230622686,54.87366647882514,53.35242970797225,57.33750508574657,58.80981614129623,61.49672469148996,62.03381887405814,65.84193818963809,63.416126758303086,60.30075206970865,65.76637432736895,66.60363763690249,65.34986552373398,66.43189349420345,60.99693658895943,63.20974027019802,66.20492491407306,63.03610395198427,60.19032697833989,64.1090667760172,65.8981862058964,61.049830210820396,59.290931156174885,55.69652219133016,58.10604886359333,57.87875533202917,53.97593521809392,50.278962487449704,46.30154348502927,43.93120215678147,39.71686203358177,39.67484523916519,39.85375897337231,40.88038378868651,45.663400260513896,44.49313943710845,49.33207980142273,50.82928701814861,51.597415706955005,52.72177971754751,55.66991536618322,54.1137685527946,56.03450849441872,53.30374320358001,56.170965016550035,54.07572949093015,50.96262954062489,51.94804368504401,50.02186166920929,49.47642839712494,48.84665236469196,46.086719419134575,46.422890803920524,42.43996718957554,39.77531474444176,36.641459787745944,34.02200970543326,31.706109173651154,34.59067536478021,33.113758035998124,32.50357291628827,38.07497509654159,38.91268013050963,42.88823297338648,43.040331241485156,48.868261389498244,45.57931246982442,48.49946567669285,49.60878467191148,45.93788649245488,43.74289003868346,39.94969288849586,40.654679901454465,36.352451918856694,38.84361135154917,37.01477975966171,39.27946038373285,40.95012966090561,43.666039205386944,44.717027766930855,40.99383328367329,38.912041903151966,36.30150810258088,37.626714620572464,36.22689307935641,34.26977557791109,38.84706732564727,37.39526910475836,41.10146948405545,43.76413439250772,47.50840597866194,49.05671521012581,52.35937143968896,54.31207334890869,53.089683542052356,51.259040571772275,47.33178615754645,47.879031666736935,45.76825312124153,44.36100746143637,45.71371916117074,47.65340963918449,51.331218066694156,48.58946899058117,46.56936067802982,48.53500459223403,44.88698043664643,43.09622182894365,40.46963569836011,40.07657012427702,35.72168472215979,35.98125520139497,31.486871482173733,33.681094229795505,28.33400069969447,29.289883973951046,33.502553033035014,34.36744072169059,37.36979617366413,38.92386577319589,42.14802926274723,44.889010956566835,46.03223281211914,47.85729923961441,50.92804943107264,53.37083022697459,53.586671584554665,55.84154107602125,58.671726992341405,56.513974158579416,52.924420754485155,52.271694391901214,49.62569967397808,50.91975202166772,50.585002042854406,49.469755880200196,48.40198453310861,45.25292408855957,49.375579624694666,51.68695407111813,52.78620301466816,54.61648203260581,50.219202305901824,55.74532421154702,58.95417810023158,56.739334816385,58.78540998298843,56.838311307518175,62.44631681885626,61.78277307332078,63.268833322090885,64.44980808206861,60.67337426657331,61.0363115477784,58.6518268571425,58.57836189693349,58.617921662197986,54.44708749040815,54.032238772865824,51.05163768467066,48.06919737113276,50.301867798774836,47.28071343177461,44.297826370436454,46.12137014710243,47.10519457099463,42.369874368189194,41.81550346340158,44.36282339022076,43.57188581428749,38.35313797203611,39.72822188242497,41.043882263248136,36.91977317245483,35.64328228355301,38.995988485152964,40.657986960312336,43.879422946687654,47.0009709982029,47.0215525123219,48.79897631567716,53.911376798983376,55.958746019240344,58.99215071199244,58.91789392886763,58.49756674549897,60.65902290154985,58.206174342740965,62.8904112016267,62.283601475847234,56.78370266683762,59.45071323365543,63.50190362285577,59.940155455847496,57.861852634804485,61.324727055878995,62.136700001011356,57.86693289607346,57.18979455108379,53.24757642547751,54.484860467530616,56.77094204251917,54.55394939363942,55.12868487293102,55.72623199521808,52.76086068780491,51.09674252973433,51.281248026188806,49.61214060298957,46.10689929972025,46.28790496632397,45.76529141108341,42.7058205978487,41.768066214462436,45.62949401072913,43.65908316202062,39.21213870447595,42.57859284556954,46.099096667020646,47.06301864814211,50.33409369976802,50.45967955420781,54.66046849047155,52.735559910572796,48.528812239885994,52.849112390455794,54.463758987832456,51.401496930036025,51.42515462981632,57.128286876703854,55.67965915059183,51.30285682784959,54.548343913215824,58.74775622547016,56.15191481185767,52.9868207545912,48.3859391670269,51.685036618839696,47.34204476098797,47.24799653253431,42.25614679389686,42.33291071080928,37.55202875071281,37.63436988069696,40.19512227911292,43.61211250309091,43.72817030505431,45.64359228377134,42.17655259711172,45.40028704391336,42.04396849211324,39.26712567324133,37.61917866856242,36.85078254245957,33.39421005207998,33.067991941586136,31.877564090922817,29.217895297056717,29.09019584394613,28.71571572696238,26.560821597876313,23.954390422219806,24.95838729961812,25.300070886958657,25.678158792408865],[29.99419239660284,31.08306006937975,32.433868421145355,31.063795880790167,33.971294749655584,27.980048307529827,28.941239069805064,27.552770959642707,24.535499159160604,27.377688289017968,25.658750996471877,25.074386580348833,30.274439485491904,28.96713990624943,29.913715271671833,32.277509228423256,34.91527544337284,37.97798660655916,42.07275567870563,44.50157902903253,47.805263233564474,51.73997248617874,53.15113346927937,54.14005520509361,51.61917089873499,47.356248708730206,45.786473118659885,41.55417001691883,39.466753103252174,37.01233146432426,35.770276135516966,35.1930086595606,35.136867509069646,39.4010950074324,40.22360971239007,41.13192160727649,40.74250312145078,44.68904292899222,46.56801139853973,52.34172813198311,51.47934748873991,49.90314562690625,53.68369389366405,55.26421536394097,58.23394142454249,58.92331105070166,62.60742726660835,59.87408745217894,56.8289955678769,62.27862878334961,62.78917781265034,61.352754506291554,62.255960204483834,56.88162415073551,58.79322932727353,61.95233038756831,59.04128627904336,55.959956431342064,59.7624618215677,61.88080374861335,57.18068632457851,55.32238530015889,51.642381585614565,54.47228564705848,54.289167233006246,50.23157278112962,47.021787803551305,42.82373946274644,41.03821809809408,36.651895306196344,37.09323967561866,37.5539894724094,37.940914467677175,42.68295331132301,40.914021031756825,45.51642925693063,46.84257962173467,47.239002025145105,48.310034458436114,51.303392065716395,49.50368732046443,51.58847896143448,48.59758383544989,51.712018020735435,49.939877593023226,46.64937478256748,47.782583209571044,45.41390252322636,45.28214854758783,44.2371193355134,41.82932235597197,42.26471710005781,38.241194607272135,35.29576611535305,32.335494695518314,29.772569039518093,27.71065606712665,29.834421383245736,28.273198488852355,27.103798430437692,32.98456590002501,33.75622591392,37.964596713486124,38.24499486076492,44.26972878867901,41.29838652625384,44.17580846986721,45.68588724498635,42.28873375446308,39.699368452777634,36.29546007944103,37.045442037510654,32.9270841277328,35.75541044981702,33.95475028089813,36.6711697055861,38.201344988611176,41.38829120476954,42.33309960847941,38.200516275745436,36.544232848326565,33.819466491461014,35.63660581176692,33.990382146883654,31.83545315937262,36.30103474337983,34.56085202753813,38.03237812402056,40.51736342375773,43.84172272297221,45.95556076408067,48.928596983111774,50.9671177838724,49.27833782346746,47.99853379006234,44.18237353592647,45.30172140750693,43.32068800251749,42.221258207579744,43.12060882611575,45.5843638710827,49.03867700560998,45.97697657007929,43.79179602564922,45.380557402349645,41.43162297279364,39.84834708598635,36.82593829079319,36.22308071463586,31.85372780492541,31.777237762099883,27.008379811892105,28.663040936375214,23.102563188359763,23.966213134460578,28.33579838441004,29.64203542795301,32.68235722755457,34.44051520058776,37.89374322908678,41.140609637728915,42.16225198534118,44.600399748534464,47.282750008696944,50.01911750203037,50.84157207777993,52.899936247308304,56.057152549787034,54.02218979726262,50.51546584700025,49.527363114024695,46.747961417063216,47.49301502766119,46.78470997648947,45.35422434287507,43.920116852828464,40.76098929352894,44.509537889398096,47.206909188196995,48.22169436786235,50.504932422039346,46.11833027395471,51.75529084730227,55.1051114217469,53.085738552997036,55.03853901073722,53.17039251351545,58.82409057795123,58.65751696713881,59.96043271535507,61.29267407990933,57.35274116629317,57.84052301659447,55.50620167695992,55.436166552506855,55.649360369354426,51.719399064649124,51.08206559170669,48.323314342500005,44.94192847106712,47.221127750748366,43.83733124239617,41.09476977681693,43.43489533743521,44.13405972028078,39.32189580756964,39.56159533756677,41.98726005860299,40.63572986774021,35.85538088233883,37.7136389686766,38.85819942142802,34.48985020115822,33.993933967949374,37.563827660381385,39.26867653972521,42.242007854187385,45.794142596178894,45.247319829213566,46.85689014178883,51.828669669798444,53.99086697513485,56.78732946737968,56.198122868963544,55.61475323911312,57.46004363066028,54.75767142510962,59.527512700341475,59.31804915490227,53.85080243017981,56.22972816646732,60.59083887453748,57.33857651647991,55.07782995476617,58.43508134448078,59.76241082582067,55.66064437955861,54.62380298761438,50.61452714624449,51.18581655902692,53.37190372440435,51.04870211041448,51.202232354631995,51.60451256029468,48.4587543040525,47.223746291931015,47.40955846717625,45.332711731110514,42.03206395353817,42.647476063079004,41.873340489502326,38.732168884579664,38.30108282856027,42.2050046703246,40.071116915474555,35.867190729258155,39.67723314697544,43.11437822819688,44.25516172640486,47.21902422256773,47.127417197492576,51.46226561281205,49.96266047807019,45.834658217890635,49.94497380050054,51.963040349468734,49.13657006660253,49.02031771519736,54.76849974174832,53.81418691220216,49.50427070001024,52.49959059477975,56.91554654118356,54.74946094867401,51.644670840218126,47.132548483048616,50.909113928387654,46.7986468853085,46.52192226350958,41.46994692817144,40.87616395611499,35.90016811484442,36.7054945016164,39.10160463455751,42.700578697001696,42.43095102786569,43.787640680212704,39.9123911860124,42.690920659241236,39.2559467591485,36.366643637241246,34.18126739571736,33.406329876123934,29.47127831049111,29.89519534718914,29.054268545395825,25.777503547911977,25.760229392582772,26.41009556741352,24.10031924801798,20.687465793241785,21.184286179669364,20.868485760085147,20.974398352463837],[29.38923428798947,30.05111459142472,30.93958789172538,29.020286213710843,31.641789766428573,25.679218601919466,26.174267859685035,24.956008289825373,21.445068682330923,23.805301301317275,21.920739166161773,21.745060750502425,26.700629800110274,25.0184754145518,25.99207040503253,28.548450315583622,31.021558985677814,33.96769631133325,37.89315919065853,40.488912269668035,43.676017155755446,47.69603925944072,48.97949938341899,49.93422252277176,47.524158723946506,43.21959814245929,41.815029642986815,37.621115030980526,35.632466327016864,33.42349101961077,32.00133523911076,31.847012381018434,31.922724334023567,36.055543216654314,36.81481151686772,37.464467698614335,37.36597834427527,41.01499603497685,42.89202981302433,48.80072788545091,47.71174858520042,45.99829956284381,49.83842819119623,51.462039528000524,54.33414547407145,55.083949413422296,58.778332553570344,56.107883803489585,53.16352744612492,58.691287298655276,59.24724113676283,57.92367449512296,58.814843922410745,53.403363129559004,55.425055946656805,58.42630874126438,55.35874796238056,52.36714147316711,56.212418923696916,58.15093803121569,53.35129060468492,51.510410707966265,47.87040486569546,50.502780626231974,50.30635291557074,46.32019952385183,42.89875429435619,38.77644416734719,36.79479081521413,32.44479366170663,32.765237966291515,33.183593082512,33.716659335474134,38.475835468630216,36.90545125151759,41.66513067464517,43.029334215527655,43.657042672769386,44.749160566404115,47.73419179541371,46.15486467673445,48.2261048553344,45.52014621298986,48.593223812280705,46.61525009701272,43.30884476426542,44.20683739502616,42.0864900118646,41.614163773598435,40.81053246354842,38.164906419502394,38.60355667021577,34.5818176455471,31.792979465986537,28.682616267442143,26.102024560423857,23.865104761869052,26.530501503459234,25.155607169015607,24.72550307389248,30.192886615286202,31.466823783832318,35.24342509805487,35.877563030227776,41.839623844528994,38.937979908655514,42.14873772775286,43.57675563690024,40.26582657750575,37.65791257919929,34.130848526213676,34.355331995686065,30.03796893461189,32.52301539570612,30.346245006977956,32.93847961953951,34.27210385564353,37.37777236849096,38.12552149695462,34.06291779983122,32.360901103000124,29.756410154695306,31.70024848083618,30.28398315596467,28.42930131719773,33.1224197330423,31.99384420815144,35.335752177319755,38.06019592618828,41.3532989851389,43.5330970828877,46.69455966246149,48.415105840146744,46.75846413570978,45.21527353448985,41.240553285399486,42.49255554460196,40.130138168976906,38.78970605941739,39.60211321748366,41.79638771855008,45.142398975549604,42.04256581017284,40.011342245622416,41.644613844999185,37.749002204658865,36.22020337717506,33.4043590960713,33.129210299790174,28.853978671984624,29.314396967101906,24.596582218469038,26.85994924472658,21.722300012340728,21.914791278958624,26.073666171375383,26.87424561397371,30.187646284931454,31.463320509501873,35.156495590902644,38.03608946690253,38.78575089621737,41.10231614500532,43.83329336318119,46.663030813374725,47.37740603153085,49.68585987430217,52.78320169971963,50.93364136441578,47.296891148843486,46.432503669434524,43.49958254754213,44.326246305365004,43.670655549442436,42.25571992308991,41.06825823923141,37.69975778888434,41.73230854093253,44.176399817577185,45.406799507627134,47.48334581937862,43.36766293668274,49.026170840895105,52.30040697457396,50.10673794225523,51.8067049108137,49.72095239032851,55.403876149669024,55.052195713452306,56.58710986324394,58.02378815959243,54.17407082851508,54.875496331003745,52.69162038160714,52.81339707044992,53.23269262199287,49.27835007576449,48.93775150272488,46.395231170260075,43.06031819621105,45.74920674148466,42.474784031677075,39.50973221924653,42.05678654685887,43.131643607549286,38.30554461425902,38.328139322967786,41.16048120259371,40.18216263089608,35.22281283075889,37.19463503727511,38.74059683273137,34.430501713987134,33.71875159267374,37.588886445406004,38.92618413280648,42.36438200144576,45.290632479611126,44.72481875202864,46.66878727248297,51.55599590293805,54.04382736525161,56.57535468860256,55.9455814890227,55.05990856104284,56.81309793042469,53.87469278369331,58.54296550207845,58.438976131644964,52.74695179125885,54.9447685530485,59.29257045146242,56.02557636185297,53.55132582450298,56.714228593891576,58.14204936864318,54.05838464400293,52.62518702858985,48.9412811960468,49.395380245031895,51.80298212982658,49.83954412161634,49.97956998219445,50.760247182035606,47.34595420873424,45.98029824896704,46.69921433510902,44.66381907905428,41.05551793013946,41.927818349900214,41.58708244057612,38.49133778341158,37.93400899708643,42.180302301104376,40.35686209929161,36.10287246442532,39.883261083821246,43.486405942970535,44.313063839631006,47.13370872511793,46.67583798766225,51.02273340231464,49.77031281161924,45.30010419346668,49.18440516327004,51.37258613294236,48.540618608061614,47.98368844750679,53.8579398443148,53.0636991344838,48.46735837896093,51.19425796296567,55.824938836666334,53.758154479796474,50.46412195864664,45.88824216002647,49.7283906448321,45.59419331958473,45.74513572127577,40.528459171004016,39.89412346965926,34.90795270742439,35.571220820335824,37.68824665614589,41.193302834496386,40.6501967206366,42.13660641689982,38.012014732439106,40.70932222781924,36.99354272479538,34.805483908476035,32.635400027052036,32.345520414754574,28.238518395077932,28.222117025408252,28.069002264997454,24.938776469346017,23.943322648948488,25.005052237556992,23.48339692715473,20.11626399996734,20.107271326071587,19.912453564849006,20.458197586479752],[27.91483226524527,28.432553357442934,28.868328805676082,27.710511407053502,29.587651541780573,23.45301506631716,23.794993139676478,21.806008660085922,18.82824256349308,21.62819727530954,19.699845781699743,18.61088732492707,24.03976114488893,23.265521567430103,23.8929373966235,25.995485451150792,28.91329871509395,32.03380430885649,36.45695395146582,38.530571548424994,42.032270131185506,45.79171332861707,47.45797166476493,48.58190067338843,45.84385981295442,41.70582789237736,39.89177343485719,35.65471725500077,33.3086495059184,30.597446250250496,29.57526342535674,28.610873234696353,28.640227756451715,33.04401076150723,33.71376827939584,34.754488188803286,34.15163489931175,38.32395045243026,40.28239399333048,45.92358083083607,45.34944891802469,43.794819631803044,47.46159022931162,49.053925913907065,52.18253083003746,52.94500730529552,56.547284727767774,53.6478156646185,50.635505316465824,56.069088155727364,56.407994831404906,54.88947635306874,55.721977735938204,50.37714108661676,52.18627252110714,55.43140290398957,52.6374364659307,49.48904653120501,53.287087958987016,55.5293647639437,50.94271112370473,49.16594596261721,45.512857732450094,48.59028716546715,48.291198629805876,44.12065600636296,41.2938248178634,36.970068431552654,35.609551450640616,31.189171240807646,31.984827915670564,32.856876233120005,32.77756604758919,37.40932293557108,35.19549476480668,39.81686533948139,40.78511425897255,41.11402020712129,41.975039807184565,44.877651570484026,42.9036594546646,44.97645946354647,41.89566315778044,45.08327509639519,43.43125548576737,40.072793807928306,41.30573683710824,38.79889810825736,38.91607979054718,37.872223837329656,35.685947727225134,36.44462040949462,32.37443464657274,29.232251628461942,26.151164717135472,23.8622049870184,21.714480167933957,23.32937219617489,21.604614786666875,20.370502852261477,26.234365275616696,27.099869887210602,31.248172995591663,31.723601219639235,37.81984555629438,35.09321983893268,38.13584466338391,39.86728905728966,36.748350265286774,33.86612836170813,30.704890079046116,31.176425222685893,27.148610848845813,30.06678080788284,28.204168304628546,31.21897703411657,32.607301340618235,36.12613743587462,37.03017091063763,32.64278196911966,31.3229541261485,28.520508899825504,30.70060054191414,28.905878499028617,26.708773298833826,31.07872558148742,29.427371278779425,32.581240241586706,35.0326145046807,37.990874138107074,40.56362127562848,43.37840129503937,45.28237340535756,43.2797031437883,42.26926235187429,38.486606272637545,40.119912487825744,38.08385366642977,37.16022918717793,37.647137022828886,40.44773366119082,43.67492370956628,40.39770820421248,38.11607679968068,39.427313838132264,35.31337194183246,33.884459117742935,30.647509311698457,29.9952387405825,25.68966449477619,25.619430723491583,20.71111850380241,22.35653910356829,16.97691011947956,17.349138033477274,21.68464535350587,23.010430156708015,26.17178424277182,27.86042055169885,31.526757070626495,34.94994258013385,35.812745026620256,38.61538683546623,41.03431854026984,43.975595470479796,45.19990237358687,47.18640800050738,50.553273793411606,48.70416278380907,45.23233712441213,44.03711970501858,41.1105068473635,41.47186575765923,40.52830116585688,38.91162262246924,37.354819849820515,34.14184964674549,37.798012944404114,40.58870957549145,41.621542892766556,44.07593412386809,39.815439395383045,45.51786650053749,48.916083305200964,46.95647758189821,48.75062805415324,46.88658670380915,52.555854917282865,52.67175075305869,53.898467608571345,55.36286211627614,51.35496060528685,52.02079254148947,49.80638174042133,49.841361844895346,50.304275872055605,46.57105932159617,45.94613288320342,43.524952382806035,39.884897737460086,42.47535555222531,38.91631202553158,36.21942106858031,39.10635087574742,39.860886896187935,35.02601435838802,35.746172127658625,38.35723022968678,36.8813444529646,32.37493328515266,34.69650559754095,36.02364627084348,31.586260163299812,31.563703684435588,35.49526595646086,36.89071850102851,40.00933159889938,43.33453184642767,42.31441085528382,44.0502203988644,48.788649959554725,51.30536593834531,53.66656808847851,52.65106920973568,51.68973322739574,53.211925237571755,50.14539573890421,54.876638867143164,55.04548674926134,49.45550536284714,51.464352004732106,56.02896827080531,53.019069877386734,50.47283658607967,53.59283924426365,55.38318294091885,51.45105381450231,49.864608210508436,46.05137339991844,46.01832482790592,48.276145028891065,46.154342022468974,45.99109297443424,46.5580787629246,43.082662237237564,42.052327049176036,42.669646325828154,40.34879995843222,36.952329681228704,38.099310902754894,37.52162460710885,34.387962136347745,34.232270540967185,38.43562912765201,36.49309072961119,32.4789919001922,36.5515185822587,40.03758819577163,41.01149355234403,43.58324294788151,43.006564642826916,47.42253848852251,46.47029278596236,42.14662269217536,45.870723016820186,48.32680205815139,45.70563776617593,45.125852744432265,50.963449853941995,50.53515332717907,46.09485726478987,48.65681630311683,53.37537408932755,51.650522121244094,48.48132838682283,44.04583568853635,48.22803791323511,44.344636674563944,44.2390094248934,39.08468450498272,37.90220109958467,32.8448677782094,34.14822990266847,36.14996768561206,39.77833012936524,38.99330256815334,39.944381346481244,35.60321343144307,37.922844088683135,34.278589920908296,31.81059535509709,29.22310634106821,28.83224481930908,24.422973204867397,25.141966207434063,25.157824688250084,21.549011848285453,20.861410823701725,22.733549381836145,21.001535392732247,17.046603037345104,16.59789220234648,15.802441620554465,16.07635242142065],[29.008712313604114,29.030747339158513,28.830791076033485,27.207511724620012,28.477245406743076,22.453924754132,22.029973126242957,19.99286701562654,16.46279157475946,18.494356414395202,16.09942439686404,15.219096592337605,20.515617265255482,19.487554087202795,19.758941984214097,22.032214399330755,25.011754766304723,27.87733197460378,32.23885061767199,34.391740541013114,37.78541617012391,41.6060367413186,43.200035974613044,44.408062745240485,41.77116707685196,37.63234032573503,35.98558366360037,31.810150317486446,29.389024331403068,26.844102461144185,25.39202160606599,24.887890104771152,24.876681536411535,29.120317801088124,29.859262156202217,30.75913180060629,30.515307291739493,34.51275632965868,36.58857918516966,42.33446978744373,41.64910625321936,39.82312001376557,43.479230756249855,45.21103369385777,48.30223113277144,49.229103685191674,52.790549692251076,49.86259437933134,47.05145820315305,52.590063498698086,52.8556467016894,51.4265786334388,52.146585301069734,46.7762286752173,48.590912845282624,51.65862833400321,48.74590135061374,45.60237356138676,49.38549652863548,51.51831567821096,46.82772512046215,44.96251299073995,41.29730982187631,44.245149270999356,44.01922497357876,39.911204596505286,36.931632400437934,32.636461730960335,31.224745106840082,26.7748696298624,27.5950254498372,28.420501988016103,28.28111679336002,32.92403253338524,30.783624770938737,35.45384397302606,36.52401663950392,36.97291384996788,37.932857229998625,40.90370206846463,39.1910654956597,41.37627127605129,38.61110875270836,41.880725331644854,40.08309091912134,36.60144314625487,37.507853733991205,35.13109412442162,34.88663941467473,33.909676745188044,31.501089211203027,32.18701220619936,28.116140737081842,25.09938864784736,21.967630431618296,19.577126093010015,17.401728196873123,19.506641176908058,18.13045230510454,17.790634098756122,23.16151765437548,24.823265172584666,28.420932634710688,29.51493342459625,35.58037612093144,33.1175839492535,36.55491889979042,38.3203269473506,35.441104300577,32.42728096074325,29.301418943827567,29.073286447180667,24.896649473313612,27.41080170935288,24.99995307584334,27.98241289551039,28.975774995048564,32.5236769773685,33.034512184396974,28.607441865412703,27.41791447520036,24.811732096636078,27.38410378817166,25.884862621171468,24.10681490918388,28.691804751878212,27.807100026426173,30.65473969926315,33.32953714092197,36.066084850345824,38.891331491461955,41.81223943104236,43.329079097358694,41.21889026618504,40.064077073917595,36.136287811243406,38.115745715981994,35.62957763906955,34.47644232917921,34.685047051141865,37.240493605051896,40.21178628757437,36.773313175081704,34.684349534381326,35.90403137155537,31.75137456483927,30.517813443197852,27.440830901653662,27.20453930629287,23.082641782031352,23.65488908104812,18.776194704929537,20.980385645556012,16.28604121591515,15.489716645857541,19.50887263362504,20.293832996216594,23.888274127741592,24.91960139312335,29.06179076499367,32.15690446960248,32.540241336499115,35.42510904444501,37.73961074286131,40.935846376571945,42.21894557354267,44.479790585196454,47.85188901009405,46.295854901666,42.69623375104193,41.57322974948711,38.41201972616141,38.6863249806585,37.66945042870556,35.93656566953233,34.56866424452987,31.034094383623504,34.89987955426555,37.5214454852788,38.83202816551762,41.19953906173949,37.347001287238214,43.09734323204467,46.43445458801701,44.320717610715626,45.71617015305686,43.56625894040759,49.29035058359003,49.32625328901352,50.821758494635105,52.48146340091953,48.551983669217236,49.54457374870942,47.55359503967534,47.8351694410676,48.60277323210232,44.93295923362485,44.61168557628828,42.53117299468365,38.876797647840874,41.927543029100164,38.43759775194306,35.59131321924142,38.81072785144974,39.899986230209876,35.11049246381156,35.76919957251264,38.74753281803018,37.56366485580449,33.06038072061623,35.54776630628415,37.2197678387395,32.888941529029125,32.79616852722081,36.96638445966511,37.985935328772825,41.46595364956875,44.19967144278713,43.07821790782996,45.095168105645705,49.66879681964761,52.49106583021854,54.53406533601107,53.3834241245678,52.0872797508771,53.42539938589085,50.07254584766456,54.67673782002925,55.05678638557438,49.281492201278695,51.00203047401977,55.59526904783886,52.665482933326714,49.85999162443135,52.70921799548832,54.723422816111146,50.88035723664237,48.77068435230922,45.350396473836454,45.00414246004186,47.47057684021454,45.74636333760844,45.443999786193444,46.36554773035392,42.56653223770525,41.54018235599548,42.743880620017926,40.37082756183263,36.747891472926625,38.29568583720391,38.11846413510611,35.067758055288635,34.92522736304203,39.41222401556512,37.77179529317911,33.855260907448056,37.91187958892121,41.478844863362795,42.1711302159016,44.49509579763117,43.49964937857768,47.90810283798928,47.315723562238865,42.71624178404889,46.108796298672495,48.805786017940825,46.25690231741257,45.192049799278635,51.112574886833265,50.95387387997489,46.274185728980235,48.471256163574296,53.41808587205394,51.89174027775977,48.5666745525789,44.127927720213364,48.40957740620858,44.580527341568896,44.8904886124886,39.63066534759402,38.31623352820826,33.309664513985,34.55981182558212,36.198742978686724,39.695573384850306,38.55227625958044,39.52177250908551,34.86642983496902,36.938369121090886,32.98078720384097,31.375565807625343,28.702557875663743,28.890613806733775,24.253997201456038,24.663113632511077,25.587025056172216,22.122361936281894,20.310491107520388,22.911242837245624,22.09880834937292,18.242653966732394,17.072949604082094,16.212099349959974,16.914383222701584],[28.12165583165297,28.162179483785657,27.813975175436855,26.83847967765583,27.737928090081486,21.656262145639463,21.313849091659304,18.725887611405632,15.828003172398358,18.360022800043776,16.123098762634033,14.42723397555357,20.070556430813628,19.847456688829972,19.960501626328178,21.787819928657175,25.04611365450589,28.092601599516698,32.7861688540795,34.52755117295495,38.15523679639078,41.753017948159574,43.625280179384966,44.91131368138455,42.030673762474485,38.03164919343499,36.05569462170945,31.86102373184344,29.226820282513078,26.27852693989212,25.28939254330337,24.020095459113914,24.003714105977856,28.488438747678423,29.117493000910134,30.33697898469241,29.607164903078704,34.01925755566578,36.10494739288953,41.609708611698096,41.31748574820823,39.69820336417775,43.22388083482876,44.88267786139374,48.14980646547295,49.02904501655054,52.5302891833581,49.46503313611904,46.55146967557259,51.9787233973655,52.120464349051176,50.535830028836884,51.25120359551862,45.94279202496753,47.60970041093642,50.897502584015164,48.21224935825663,44.97056946494414,48.722562989351964,51.09065352044038,46.59073995365268,44.81378975043073,41.16199276941077,44.44653254932523,44.11680934037936,39.87721372685782,37.38062739660468,32.96659257688127,32.02156097774447,27.590683705187793,28.725556324172405,29.879391113236327,29.341163914948122,33.83339218014477,31.23689951888346,35.7701464779503,36.5055406771579,36.714404345786946,37.462095115203745,40.335785464371675,38.26329901592072,40.40330923321738,37.28093172213047,40.599026113982035,39.076536727030124,35.60558806063657,36.85105065593514,34.16979665769441,34.46632809035378,33.31687042024204,31.32458680421665,32.27944510852573,28.20382025256437,24.911470059632382,21.832804878913507,19.757378215408725,17.686290659054656,18.74637131051918,16.973028133527073,15.704873946087895,21.54186676113783,22.66523133484994,26.696294097843516,27.504332509547567,33.67431068594215,31.273327864628495,34.484698926073044,36.455246974656546,33.66331524034445,30.493824807888423,27.6425027548346,27.769269638071485,23.879926391367917,26.79797474488304,24.799687833550493,28.062619515045995,29.202744480241908,32.994960830440306,33.73516112086039,29.142634885173628,28.196521156799292,25.427186964685152,28.00411753511766,26.17283739266621,24.058203620966186,28.291208458234987,26.83987465689616,29.605612114137866,32.00979908694892,34.5511500403979,37.5780226024144,40.219489976458426,41.960391331051866,39.64260978641977,38.90302275964435,35.16628854221444,37.3084535767658,35.18680557945784,34.39522535718396,34.45680090001111,37.48453269739673,40.431813261646646,36.943077446725894,34.63553902292173,35.64839553972673,31.378473729216097,30.16757014388931,26.758008118095514,26.124663304537485,21.961492507229664,21.954344618030753,16.94161903927201,18.501556834535595,13.471960266791974,13.038171013249901,17.296701288346004,18.652981950655608,22.008421360935532,23.53266463751057,27.513158567848485,31.08748826692399,31.687524932169957,34.88274433232334,36.995979437266,40.18447178328042,41.797941355785284,43.75118302210006,47.29431028949772,45.6613226837932,42.22473348903554,40.85860986032597,37.78247603619431,37.75336956126519,36.55683831735527,34.71750057662195,33.03291707054556,29.71087449553498,33.23745012976153,36.15249732594341,37.240745802682014,39.8964598769365,35.83523536291168,41.592989615232185,45.02775878523816,43.12284784505018,44.69358167871387,42.785942855961395,48.470998047183215,48.84915007750306,50.05260951531462,51.67055046561824,47.61995338608207,48.493826838482065,46.42557344759751,46.58053190739409,47.29385791480622,43.766917290042706,43.17355575621071,41.097020345086065,37.252031491085745,40.11006469885736,36.420375302223185,33.81034922688515,37.16847078955107,37.95417782774368,33.17567309576389,34.322509995210275,37.044222261308946,35.46517712313295,31.305744509334392,33.968344247257036,35.40408956933027,31.006368200915958,31.38613837059883,35.50022376579202,36.63427609365173,39.795281986546726,42.90676260071508,41.52085565123185,43.32330602441018,47.81686871269012,50.573325096384494,52.57365287156298,51.20820220550589,49.9442047411679,51.169999598853224,47.80758084098379,52.4741605265716,52.98341895999084,47.33636077318669,48.996202331706655,53.71696776258458,50.94500338871763,48.163380434597215,51.045777825523984,53.239026187543395,49.48399619957854,47.4120984743777,43.81819607446051,43.21965250402514,45.525782577856745,43.60191716248088,43.12525498330338,43.81464334950207,40.05457971122529,39.26230731359828,40.257840146122916,37.70589077835685,34.2904842071054,35.936737056100725,35.50987267583236,32.42978181632763,32.56551193190201,36.93722920254159,35.16275403256616,31.41878480938094,35.64421531725007,39.09378818459733,39.940270682609714,42.14083194211091,41.162718608925154,45.60420267551398,45.13113723474486,40.713526354808145,44.06097805853517,46.869429407647296,44.45308680425869,43.49347903672515,49.34689762793349,49.36296945915582,44.86445743194557,47.03327198614424,51.961616505653424,50.61409148109646,47.42451097178436,43.10251511548466,47.556846808970306,43.895359172752265,43.93452711034158,38.776466641805264,37.14946639720817,32.12896468604442,33.79658547926907,35.43413086415936,39.016447380757036,37.81472736553839,38.418511108663296,33.729676129518175,35.58754354771684,31.78364141288136,29.785439594849862,26.851660375292937,26.838346949976877,22.071331543710684,23.08851717638176,23.9267964914267,20.14532213183172,18.818166976040224,21.802437591652694,20.674043396778472,16.494168555618213,15.135435149944167,13.819437633551358,14.235488720605009],[31.389250744139908,31.46756584925406,30.9767666554179,30.35791304722857,30.85309351672712,24.845180527142425,24.262602397315717,21.18376377106141,18.628350254376006,20.87302454460296,18.290272565769182,15.942972786329452,21.709142237251577,21.962274290894246,21.18643544022761,22.735989241987152,26.529288942255757,29.16662257930978,34.05190747073718,35.482098988111744,39.09387351619803,42.53971012962942,44.572978445450744,46.16526412855929,43.273125346918164,39.44673625084176,37.46138518499535,33.393867793172056,30.347194826585728,27.124078549711896,25.565918336971936,24.118451780973466,23.395486303417723,27.78054437137536,28.8949028754508,30.641614879573638,29.912747044914763,34.78405811428258,37.15317733705301,42.414297591700034,42.55389758704299,40.67185176340071,43.92353038942795,45.80438937393065,49.241905247003544,50.36498729796787,53.68861425457053,50.3749397470052,47.71753095161388,53.12527455364843,52.913544963739845,51.21106845010007,51.638816247954374,46.45072843304464,47.71882416501763,51.01516997710378,48.56083569916727,45.04971487795692,48.55499759410163,51.20770805109403,46.796743744415835,44.70913308519241,40.92748842021068,44.45300191219865,44.40908292293711,40.18516466309615,37.97470764544336,33.50456577089407,33.014139295856495,28.5210759765477,29.983671930634994,30.980605697372944,29.95254231849612,34.33650548917169,31.42107021176772,35.398091392476054,36.35899479184719,36.0648375332212,37.05271383654149,40.12622446949475,38.065254610237325,40.558526957126915,37.36200587558386,41.034801058037196,39.84579566133983,36.13377214567893,37.25688497324498,34.09897804311914,34.5648713110776,32.709563356351815,30.974778895628592,31.603525215716154,27.62788293156,24.238545330355976,21.79967073820524,19.50879845069162,18.27190068840309,18.577328649721398,17.201143355730554,15.332539501617893,21.397634081350123,22.809905852369187,26.90648591993722,28.131489439509874,34.42045590124105,32.506401143821726,35.633745313203015,37.9780843931496,35.51679626830767,32.056744945884816,29.684020616125316,29.777742215461632,26.18587582109262,29.151871527119834,27.051133381236912,30.476141954520447,31.263827618647216,35.24071856013412,35.57516122234825,30.831424046632364,30.285463171109015,27.719530743641208,30.693688771231514,28.953296060624197,26.96437430984009,31.023473202519583,29.552934346130122,32.02037493752026,34.23586533467269,36.32943939013537,39.77452870805359,42.103326411459065,43.8529507320175,41.15864278130538,40.88640519245439,37.294208105778104,39.844095577192746,37.76908368934818,37.106564715969704,36.811890486015116,39.96199238977223,42.60127565970943,38.89491441424188,36.65164955298477,37.314509338979555,32.876453532697255,31.995360008061603,28.43211276354488,27.785406019974076,23.85484381025033,23.624567148165433,18.577391626375725,19.27527305157331,14.26390528544499,13.40443213532665,17.659335568765872,19.5517930189987,22.966772728782903,24.474224627421947,28.784055548573864,32.68894832183893,32.94544312756678,36.662087027188775,38.340622339,41.8420531270569,43.89694003707011,45.77235106515433,49.48275039703174,48.02468949248264,44.666874568689714,43.12977940937196,39.96375415752676,39.486741621884036,37.95327943604128,35.780871635349484,33.77248765915422,30.360317129932316,33.37862554532294,36.70782498057785,37.795776163245286,40.907704298408014,37.06101792954852,42.8369756731945,46.34151831608539,44.60429858521291,45.93100963055509,43.99214245202803,49.665912389591476,50.41137700333676,51.57902206235956,53.36791367848392,49.26723082595203,50.31502173515911,48.35822201022941,48.5476598432637,49.40534151225656,46.11076367269147,45.38037830724594,43.49139269122137,39.44232080816763,42.232011284215446,38.32920374513606,36.003256034692285,39.610060774949055,40.11265359895122,35.39967420868391,37.06516397176756,39.56020740612583,37.55518066434611,33.836232466877334,36.66412053256886,37.84194365559501,33.39275874954142,34.24032626749055,38.25465387289666,39.514899488124996,42.341220757143745,45.82034012184233,44.19412276155158,45.77315053113991,50.15327002056745,52.812674701720134,54.75819522362215,53.103579070339656,51.84156254333676,52.85246528888195,49.40605438737588,54.10054617403388,54.86969461729069,49.37381561056104,50.83464881272042,55.718122214435304,53.192378036254944,50.36077545525363,53.15324804342012,55.641901019494256,52.03342538053997,49.80614988701877,46.20262182200338,45.15074523702519,47.318910766782096,45.29035219819517,44.46115242116167,44.878678023089805,41.06017384821995,40.72175472440042,41.58536608243824,38.68435646527424,35.62222977959236,37.55923951759165,36.793386918637715,33.702048470017935,34.31199565661864,38.4863840784881,36.4984239834211,33.070108310550644,37.5141207243404,40.7615406523375,41.84135170132561,43.84115877789486,42.843281319237775,47.305203343975954,47.0561105880455,42.8772796758658,46.089137322404206,49.06971959938686,46.83336345273234,45.91924020885938,51.68204393542035,51.936965243857045,47.60627628718219,49.6620143402087,54.60283626096397,53.46548023473748,50.38376606812876,46.17475687373541,50.75727272853359,47.22830828676427,47.108207862377704,42.035243225882816,40.173982783614875,35.17421299474823,37.12975829830942,38.73210355400741,42.338286959515216,41.03918708175352,41.35515289545476,36.57997778219938,38.11889515901517,34.372335323482,32.31147097265141,29.084264296952597,28.982662161117847,24.055926008243297,25.719605725745613,26.629226413055978,22.58364647632805,21.60354747241789,24.989186992130772,23.643951009378554,19.247157050335208,17.747050883133593,15.870196674608163,15.800912045086038],[32.70737407561832,32.859877766391065,32.66817848580737,31.31465092299502,32.383366439650246,26.345399193291563,25.783959186107126,23.33834573530885,20.027945856154663,21.822823310631463,19.051613652138133,17.638626583031698,23.10203094114712,22.370393841839057,21.774102615425665,23.903329221919794,27.384694684054775,29.789873314847203,34.263577059525886,36.23317513733611,39.53943620986199,43.286528499492974,44.956702712242695,46.467441881419454,43.899107414025096,39.883695034472716,38.325797744781426,34.2688629860965,31.472554345496114,28.735653446756167,26.531945152673153,26.07122306733101,25.30594435566731,29.377068108500737,30.69639305670161,32.06915814295888,31.96410493119749,36.34725439051047,38.720100332228405,44.30098820261623,43.94854209155937,41.78725055619577,45.20480888611443,47.19950013945998,50.42165383949826,51.614564285094175,55.020320543646854,51.87051236733506,49.34346048016804,54.90339872322774,54.842886006479056,53.33380036843253,53.7596804171397,48.48339150421761,49.92473372378215,52.94171715421747,50.19982657161702,46.7912141409738,50.32222525207359,52.68959774901239,48.02348856787113,45.77576271605222,41.94823599709812,45.044003157511135,45.182664781823576,41.12885958763558,38.27347023385088,33.946874598240434,32.85180957942303,28.30792252948778,29.369529385980535,29.868659947585197,29.345966908574226,33.947429021719664,31.63450612964192,35.729789742196374,37.21257727789256,37.181912703691175,38.503006754505876,41.7400032314308,40.15163862005975,42.73310219126361,39.96944823426197,43.60220722300959,42.072757279020436,38.331655361636834,39.02667311461034,36.2228069045104,35.99157050784359,34.28809161274253,32.00075499351724,32.192549386527716,28.221758713019753,25.194335474258587,22.746658682741863,19.955019803120503,18.667782467400247,20.318543273714123,19.431371809107688,18.66997862999971,24.256505054798026,26.28362253403682,29.92850509329555,31.452884586986258,37.66284712418601,35.61434282101005,38.99799349676925,41.08958600392184,38.45567923133379,35.18656770083142,32.42232807087834,32.17797094281488,28.194523124508155,30.744209650123892,28.167513430384627,31.26825348864698,31.90040236245514,35.5773392243526,35.614923408599545,31.06971101174056,30.211047105847477,27.843697931960172,30.804371153735428,29.450885840390473,27.818278394913918,32.33019076973745,31.44241196081723,34.0907495963761,36.637211836652426,39.035354705530175,42.207929014954324,44.89552173631141,46.425199374528674,43.99696492697968,43.2101285633763,39.368904768639126,41.67807704931572,39.184758616833214,38.08436387869279,38.01027614160732,40.58785627445959,43.28224261839867,39.6362582348479,37.65738288538428,38.59242617558379,34.281971220091954,33.35551369012951,30.172723022876728,29.977272496660962,26.017751421526157,26.424410293738603,21.42762975556539,22.92985553286314,18.067775465032415,16.985984466227187,21.096846340071338,22.34161032350499,26.05678088414654,27.043610262540643,31.545953156276674,34.913935150322644,34.94228671298243,38.28151475377832,40.23082419340155,43.73951888474834,45.37582180352335,47.62655597540437,51.13046748398598,49.73196727427982,46.16512830858048,44.92523579111211,41.66189762347032,41.58075157959536,40.275031637993926,38.23627327141857,36.5999041136305,32.92262107459932,36.369083298286284,39.36160658893827,40.71501193944703,43.4868268717318,39.84427527313384,45.636850556974224,49.03936734155971,47.04664324821541,48.18991894589005,45.95350946236479,51.692453059966816,52.00840361779877,53.53757674997683,55.36955109378081,51.403942118530345,52.57313970888665,50.68167215508577,51.001869775201875,51.89064753220512,48.38573940830259,47.95418563930384,45.99307536208657,42.163867090717176,45.14144449780435,41.45441601592927,38.83073193261681,42.22950224787041,43.06450679163431,38.28752708346098,39.353415733925,42.12894317083423,40.55833066879426,36.361129599613506,38.95962178521298,40.38118876842047,35.954335525838545,36.21865873723747,40.29273631829963,41.49376389988223,44.67163823097237,47.80638855379352,46.53369711700179,48.34025573040857,52.88127689179273,55.576097158897866,57.64756643942905,56.29274014051569,55.049298526508544,56.244524699189114,52.84730457060546,57.50574166246612,58.07511131260533,52.422526840431026,54.02039105945292,58.7569053980565,56.00223269129682,53.17346256114733,55.980036936021214,58.212725703016204,54.46030145012856,52.26130390520682,48.797486182986056,48.11606637460894,50.46747120779746,48.61534051776309,48.02910808917731,48.684546971558525,44.85122746491073,44.206909991368114,45.238260958658245,42.55877682411536,39.243337160952194,40.993619737202124,40.46803612631973,37.37087129684314,37.620242682614226,41.92534346658892,40.032231737316756,36.32617751184494,40.59767527614004,44.00525289145151,44.95244390923211,47.17531869706179,46.23200419816963,50.68024584442024,50.20446850044691,45.820525004564004,49.1750121011161,51.98212558721941,49.548706244073166,48.58710768931444,54.45087129280824,54.430278537252505,49.89003076492712,52.06167483722248,57.00503265226772,55.59306809960181,52.35321375111171,47.974396999519804,52.33310355717999,48.563506952560004,48.70803994675914,43.50009958108405,42.05454652339794,37.02253851147048,38.47360838948706,40.157064567483005,43.70102590189215,42.533717291352104,43.31599399583686,38.60499944024901,40.4748349742632,36.551707855211134,34.820180819072995,31.899931495096542,31.94724806290027,27.148142611499836,28.115811001789652,28.979280507323878,25.226479115810545,23.817047750900485,26.664905824860337,25.513040838514467,21.385621021839505,20.200962621519793,18.85197412487043,19.07549904660464],[33.03132233704065,33.655773764747146,34.13915654119754,32.954764841060815,34.742915955363856,28.611698621692405,28.699327960935207,26.487322806202823,23.384607553114012,25.699196140424455,23.264127506139058,21.979252099396554,27.492741522768362,26.650463101328537,26.4789098872376,28.64852124587821,31.96546116265091,34.542439377884236,38.93299135125626,41.01716578330785,44.318040059068146,48.11207673011515,49.723931675001594,51.13366552296882,48.58614939800787,44.50207426662607,42.93747953909153,38.82070217266904,36.17377062298529,33.43855469081442,31.442459093100073,30.86069531215555,30.135676063746015,34.2451809317262,35.55982311984209,36.944360121709124,36.70447558379859,41.099730703316034,43.37226724033876,48.967670773464306,48.56114012007343,46.54562973248525,50.027498850470735,51.935592050959706,55.1245458364357,56.197764538938536,59.664362888182595,56.58980754547089,53.92738176808499,59.44932476075018,59.49527034488229,57.95769706102036,58.477352172652736,53.19858400133475,54.67902426014158,57.76875764912422,55.046684556563314,51.65924483230582,55.20329247272445,57.58570949310029,52.93531263480611,50.704606053897095,46.87336754612948,49.94386595962968,50.086733542432675,46.03747413475614,43.107161885719584,38.80956456464644,37.55075039582561,33.02622610953851,33.91340850740438,34.28373730023317,34.01188970263394,38.66299298198856,36.50087842208701,40.56996612415593,42.13803257651243,42.071480017361345,43.41394579974847,46.64206930872311,44.96597775462964,47.48164371157627,44.56143954801237,48.12077626339116,46.62420712771013,42.97669959051028,43.83235850891244,41.0116211319468,40.89601950480555,39.17140993212585,36.924922243984476,37.03721223284605,33.09522868679386,30.08626327680403,27.676724849488973,24.86733500107163,23.533566443009963,25.1578884864783,24.06879492155228,22.809047771384567,28.712691090132992,30.197382400038492,34.21993105351073,35.28411261641715,41.51355677840597,39.198575669540354,42.30552463062634,44.30528251253984,41.41203444379869,38.307260425618836,35.40424332044999,35.66945326501555,31.68477176349746,34.46121495389388,32.19949398658546,35.2307450123574,36.167750597850954,39.725753500140144,40.01397665350583,35.570313342905195,34.47454797696477,31.987590428256073,34.59633430388288,33.111848423744966,31.229565767646736,35.722653516710515,34.35822712381062,37.33132058106196,39.78769860611808,42.47215883880404,45.3460668016959,48.04437666782982,49.85682558572549,47.59679120995887,46.78800391734852,42.99328595004696,44.92373888325998,42.68832045287997,41.64030648621603,41.885269534159875,44.49044138169007,47.44072303243902,43.95299808521392,41.88738810588421,42.99794814878951,38.754788212243206,37.634264966624606,34.42145102086112,33.99869890394048,29.853950290293607,29.896499841854844,24.8739841707108,26.104959595718537,20.693824036594155,20.547479686366753,24.903703255461906,26.449009242532455,29.88099651423847,31.30238764536609,35.45511502356201,38.96289575667223,39.34646224790312,42.5010058794802,44.634065498163096,47.92689207182933,49.37757409539578,51.510183584283304,54.9481744698574,53.30723493698863,49.780403234749805,48.570784761957356,45.47825281088161,45.59882338469027,44.42333884871851,42.521693254641164,40.81917061685856,37.34320638606105,40.72339027542016,43.78367821421219,44.96745074642154,47.73021945753788,43.780160962971806,49.5446954590119,52.97802297733343,51.045611423860564,52.48667167474365,50.408744541950426,56.12649556251484,56.380402971852405,57.78748758881681,59.46242199326629,55.46476410183699,56.38389456652485,54.311402143295545,54.45226187169614,55.07671958435326,51.44886680608781,50.83367677975827,48.54367763373177,44.79376496024295,47.40540478195298,43.71826922021333,41.151448348081594,44.184986504409686,44.803885462821206,39.98115892374459,40.92695273037252,43.4374715469185,41.71881816705797,37.410604695125535,39.77245610144687,40.92796550205786,36.43560661851201,36.59503476592373,40.42455747967304,41.962000175133504,44.87632610181459,48.4646740082844,47.405195303580555,49.00027572065083,53.73008165643504,56.1220572533485,58.542156374157436,57.40354983061767,56.49202713957111,57.90902331008998,54.80051004111281,59.56421704512027,59.88212145226443,54.37001520071714,56.273259381133215,60.93924192286503,58.04726359620922,55.46236444810847,58.52276270856718,60.46920543586564,56.59247659218183,54.886399547347494,51.10644276515365,50.81758467625536,53.02878622273398,50.85724396447753,50.45911113578057,50.83542009476981,47.301876226912945,46.587524811043394,47.11195622884404,44.52949843062305,41.37813182476654,42.71307250352427,41.86226180756832,38.69566213977324,38.8573078668904,42.900731220959216,40.73821165042511,36.902719790985856,41.12460460411043,44.46979475977921,45.661343404509935,48.170873723983824,47.647842250809745,52.089015243662836,51.20978191869589,47.05230985980355,50.75032218358065,53.27451968890598,50.722323063789574,50.2084437279503,56.012655716184454,55.65104086175217,51.28656871795393,53.83172638699709,58.55146325431057,56.86807248407676,53.73267583733513,49.31143169314958,53.491014739514824,49.59394183819699,49.438533247026186,44.3052148576188,43.12933397132944,38.06464166436896,39.386663555036115,41.42418372776392,45.054744128166625,44.26430373032039,45.18308770294458,40.784798870194834,42.976277896164326,39.27851772445033,36.8841895165859,34.133675214086914,33.70728433263613,29.161078507886224,30.20863108615784,30.264745195831836,26.497912414062103,25.936108693372656,27.990371298794667,26.112073178082138,22.04993425707032,21.568604674726128,20.40754332763372,20.31699695150902],[33.005164483909866,33.420972477224595,33.87533861836226,31.827671229180623,33.89722252848291,27.935134265048085,27.817471827740565,26.274235853702105,22.488839104203485,24.19269176749843,21.720624844780644,21.401763423053094,26.378975811629346,24.634808681081086,24.808977571865505,27.444724256957873,30.263279962992414,32.693495144782695,36.60059008842044,39.18752817765345,42.19835774263486,46.24382607011246,47.48629897467662,48.70810679264704,46.456352386728575,42.21619448234188,41.038604698639084,36.96846559593285,34.69262467104679,32.51212931900284,30.229645283145743,30.516782032635728,30.063120560719394,33.91710585108122,35.13648924214017,35.97317546858569,36.27096265986247,40.019548563924104,42.183896503846874,48.08038405022358,47.10440844644939,44.9388420486308,48.61966442303667,50.536135252374024,53.455319236288304,54.517365530141554,58.079368454954114,55.245842649262094,52.6545178228108,58.28769893120428,58.573036509373324,57.269601533023426,57.87405454184959,52.5052743977247,54.2822205516522,57.09685116548913,54.041990923136865,50.87813826432755,54.53204267902313,56.52998274454591,51.652726043330745,49.45966770707863,45.695779910458874,48.2830123756589,48.42435330036903,44.54629052857916,41.027540520156656,36.93094087684929,35.05421139289037,30.6168022431997,31.059523564965204,31.122836040774818,31.43304561159782,36.19785876324058,34.65570166148911,39.043168841544954,40.84209653285418,41.24629664041167,42.697985474074486,45.927411175970924,44.663925440215515,47.09375015220307,44.63855789722217,48.01690242011084,46.10062353060846,42.52733101332638,43.01990427259664,40.72692007293501,39.94987274994235,38.70655283257116,35.9370444183234,35.91671419469443,31.988867639435384,29.349610582674945,26.684434413932205,23.72268666334032,22.058077353979016,24.896246709687748,24.101852353573346,24.02285955486942,29.295439026897373,31.339611873670673,34.78566620143278,36.120508302669926,42.177758271920105,39.71559878321599,43.17223240230542,44.8468440381509,41.84227139909366,38.95850512022198,35.66969234561004,35.41594570200538,31.08872341594965,33.328305583893574,30.626107067237445,33.266112175518124,34.06401685755294,37.25934644859428,37.360701957643194,33.20775380531548,31.790537254952696,29.508549311674052,32.00720971580901,30.92703096473084,29.475316880883888,34.31528363039478,33.716696032706075,36.739722771212456,39.55042626291431,42.48703438061806,45.08074256218493,48.17478456318607,49.641228287980795,47.69514130402048,46.28428658518214,42.24513666996879,43.96064933472732,41.2551486737283,39.76373531961644,40.19686212932073,42.19908517165337,45.177999554197,41.818335772279724,40.020105727454464,41.41573304657907,37.38886241669638,36.19918744095348,33.43778584173168,33.49234701945131,29.421282965127627,30.20992192142293,25.38115807657228,27.574042821812924,22.652076811677947,22.000201364552897,26.062433622438473,26.802773189132953,30.497720436726507,31.307163832228426,35.57459040535174,38.40820176575662,38.58040094280438,41.245104451103536,43.67501488959078,46.902443882027434,47.87909575289909,50.39867241226344,53.585735977871444,52.05243744121812,48.3295501957733,47.44707589481873,44.26660777455489,44.809956733822155,43.915382191999356,42.21654748048556,40.99033617179299,37.290816067546416,41.208519963662525,43.775222054136854,45.2378382216132,47.51813340975995,43.8231137382356,49.55906872256071,52.83990122229651,50.60800080001166,51.85082729583614,49.48511890998423,55.224992327192254,54.98249676593215,56.756181474838364,58.455645003424856,54.63838767392488,55.69853914466344,53.73663694792578,54.061184166536286,54.777236489241034,50.962991662500016,50.759583027285245,48.51962504149075,45.0392446002857,48.00172455651545,44.61715355373721,41.68674242769153,44.59887847443017,45.72426008442833,40.90090518409048,41.17652028826023,44.12933360696948,43.05743241604804,38.2827489231893,40.468859818475046,42.07243227561027,37.72299797245727,37.23578441764673,41.2287610252192,42.454325964619194,45.931655802421844,48.76979135149492,48.021505907374284,50.011811331774574,54.78671851092875,57.40107017286187,59.749935866281845,58.883472729490606,57.81011877491286,59.34845817462046,56.17785182271021,60.8172610576674,60.98550231421098,55.232626282588456,57.161930235216765,61.642761378122394,58.53870696515496,55.86474935298748,58.82528876142282,60.557962973182114,56.58303112251583,54.72729607821362,51.26686386114172,51.28277405183787,53.763058116241076,51.967567081453026,51.82130925007493,52.654125648478356,48.98874902619589,47.88096405674868,48.86732437319614,46.57145045134874,43.00632883896885,44.28553215706616,43.95562110260141,40.8540959050431,40.57986081279026,44.91644044445663,43.092337154465945,39.01436232494515,42.979348527391096,46.546167710948176,47.37932942690281,49.98171257855265,49.28382356753623,53.67786090706644,52.73933712399038,48.215517267477985,51.874709824317286,54.31146584910919,51.596354495623785,50.78550072789857,56.701779534085574,56.1812861137386,51.50349045346387,53.977408627464584,58.7770715375912,56.9167908570228,53.563994771882264,49.008473367566715,52.98478840499635,48.91453584662361,49.23360437642706,43.960727339826924,43.13363937764656,38.12895913083387,38.918110411171455,40.828610805689735,44.2936395883352,43.482419327942885,44.85738149690111,40.45261050869022,42.86031931373508,38.92995168631487,37.21672049050354,34.79509716709859,34.78244944345575,30.354271015014618,30.537611266567556,30.945491144214905,27.633020543258024,26.179369438261983,27.953475637324846,26.76769183383907,23.152195160390047,22.630994326805244,22.019891669582794,22.49233463278677],[38.344635463323215,39.03522162174682,39.87295918902276,37.72759684455146,40.167625128096105,34.244629025946274,34.257869435822585,32.810704946497395,28.991023784401357,30.514079474374427,27.921297693460442,27.67320763386039,32.55720593873805,30.589368786830317,30.45716079328541,33.19192369351563,36.06104956975318,38.08724136546849,41.72576070478114,44.48248415057486,47.204742735823565,51.330918887628,52.36760396740296,53.69855613981425,51.72966465795408,47.50045147643299,46.64089751981418,42.695255650586574,40.3918273016167,38.355011468427406,35.4113968850082,36.126180558875596,35.20195660070907,38.72368879593071,40.399535242312524,41.354405270310636,41.99447124805556,45.71720778429248,48.02154003096549,53.92911729031711,52.900822277858225,50.42607677228591,54.019375803810554,56.13488777410061,58.98338620459307,60.21763586867421,63.717027424260316,60.871555404148054,58.51856359026792,64.20557586747903,64.38762947450701,63.13380567884267,63.5599068206409,58.23822065336974,59.8518293678973,62.48545799319793,59.41616123820222,56.156510265562126,59.621293463528225,61.60994895073013,56.64756675451441,54.11889849718796,50.26295668035412,52.64511280702231,53.161529817745716,49.48064274572512,45.70375757718074,41.76592566469888,39.743379362226705,35.35999480280602,35.65051470604407,35.12808678148388,35.57747117018279,40.29999863597035,39.103650680652926,43.03381475870621,45.42219884767743,45.617529049430274,47.49303744504997,50.95351037328483,50.01278224599568,52.713653018834094,50.444315007336385,54.00060216894087,52.116565100796045,48.41366400323443,48.59714427809486,46.214695842340205,45.140308965403804,43.49382542971572,40.58586954698976,39.9515350089613,36.228079683464095,33.87026167113674,31.747525839098316,28.43289103400854,27.348312749121174,30.34017715190364,29.96276289474566,29.85640415367692,35.126761942390566,37.43988723730468,40.83977311014693,42.4143024619129,48.5244478556505,46.18399519800795,49.62237643488943,51.35760685413978,48.351458325566114,45.45366657191377,42.1890287221633,41.94435217061398,37.59947752824306,39.7307474528428,36.849167468179694,39.34190569221658,39.9219480637922,42.94101403639717,42.64626645248455,38.65780060804854,37.23784589815506,35.234383786776256,37.78388907250752,36.974083716407634,35.72877596832022,40.65454979941164,40.17316660424273,43.23681850574262,46.072394193987385,49.02010486045577,51.5927905916529,54.705428068027345,56.165772212018766,54.207778513364275,52.77987442339278,48.710787126614946,50.37550581456344,47.56059416239647,45.90625580807385,46.380077851727954,48.06956404566293,50.949167974348114,47.58567319810908,45.99747600779253,47.39472038989327,43.39977299035612,42.33367200306856,39.70525486309402,39.907797824121516,35.89802308047306,36.71659482635236,31.853485006602405,33.823588656566095,28.722690644239243,28.106748334272893,32.21744845634296,33.09205874044044,36.859497740449996,37.57217701857338,42.00476886958835,44.80421839392671,44.75970818089874,47.44937269064671,49.82070524532529,53.16307292967615,54.0770607276383,56.73674684628331,59.8569681489749,58.383155313017376,54.605307465809105,53.82173773582324,50.60546800558748,51.184634287210955,50.26312178319586,48.48430067815085,47.240936542822624,43.41583809148806,47.21218592721301,49.87536596028736,51.430437563914154,53.80160170343128,50.25010803694208,55.99724637811364,59.272450139980364,57.01700336930644,58.094875897585105,55.57868845137221,61.326835348312315,61.014376940532465,62.964368937112404,64.74326681323288,60.97765930621326,62.12992337204354,60.21135760812884,60.56563811923113,61.2782367805847,57.428601597594174,57.243643457034906,54.93498038906697,51.49491443240903,54.36089783602947,50.966351655728,48.070698671634396,50.85269484613712,51.89389632008062,47.06260686925702,47.26174515571711,50.10300623473304,48.95267733805555,44.148578913428715,46.17842431836092,47.62634177922296,43.25977993037258,42.67592179102684,46.47802124077134,47.90240363221427,51.22741099020157,54.28526046663319,53.72352945423192,55.59902792293942,60.481160675034374,62.881113423751415,65.45785081521733,64.70612736764433,63.811135844117416,65.43255501361588,62.37639201203712,67.06122725541286,67.15318825073311,61.46980589276336,63.499244806309534,67.9607345702383,64.80454007659797,62.21668384190923,65.2432887993578,66.86771171481553,62.84139191123514,61.134996664248554,57.61945553589662,57.749471038869586,60.18864585418226,58.28615519842503,58.140466574049746,58.81138363804908,55.228485175930814,54.20488706806837,54.97584563140306,52.623151072307905,49.20920287111556,50.38487118139493,49.82718304060171,46.6868061815803,46.47313868947298,50.627634851688455,48.59959085370866,44.52017632538543,48.48109960444979,51.96683833914293,52.98723055727673,55.7267652909848,55.25249627022901,59.64417022870636,58.51497833780537,54.14146158613383,57.95765372034724,60.256014650630405,57.48181874020156,56.88888930019345,62.767672491806664,62.05626815109678,57.454394946430895,60.102078058949374,64.78899329859067,62.749705735891126,59.42966591618384,54.83946212976932,58.631809304004534,54.44622605785287,54.690637556126276,49.465559180594695,48.89976300434361,43.91827869133138,44.50288673112724,46.58878924427451,50.0357902818693,49.4358290522429,50.97921850925444,46.728970977818,49.26318252731593,45.37445956996426,43.52267019044249,41.15481567857853,40.962355943011,36.6076757589797,36.8696508104636,36.95464869255605,33.639367516120295,32.53269943760659,33.95471307028407,32.44448309276125,28.908734151263015,28.70876197748182,28.05648151127748,28.28403966547606],[34.76253152769773,35.6391885029024,36.934008449255415,34.55780457930827,37.67045547876626,31.903242915166082,32.42294277002832,31.570534871394848,27.775299926982118,29.638365340574865,27.587423662066662,27.837822413467798,32.500935903915476,30.229175894062372,31.01273814195381,33.8637448741523,36.19741280502203,38.69019282120753,42.15460350282977,45.138858264292146,47.93107405544613,52.14590895345947,53.070807509277536,54.03308530674715,52.02258711588099,47.652498305715966,46.722497893073424,42.66691365559783,40.80902279956468,38.9622520130871,36.772634129882114,37.372586021016325,37.091627183108926,40.8428003048276,42.00289425829614,42.55057937049406,42.995417586835,46.367183090901484,48.3344824980954,54.38704481463422,53.001027870770606,50.933665164540315,54.785595863198644,56.591645510043335,59.27645063981818,60.174354062266175,63.85439621060751,61.28737767433207,58.59123859444165,64.21464946959017,64.78775720166026,63.60688599124559,64.37758311098844,58.96694143723222,60.96871861043651,63.69245671904759,60.463992189239534,57.47518853525578,61.20147852098763,62.96797637695463,57.98675301840683,55.85001929379026,52.145125834394676,54.385381589761394,54.53164025730236,50.79449256689883,46.864970298105355,42.97124213241828,40.57190664321541,36.30121327033648,36.2765967699086,36.003486475232904,36.941602199618075,41.7304005650323,40.749702749868035,45.24027466814762,47.25144348514073,47.88585123714028,49.41792742796986,52.626121228242816,51.510201423483764,53.80598404686498,51.45561355448377,54.632803960554014,52.509455613041034,49.10474500808129,49.563442507603135,47.56679476634621,46.54506260272594,45.55625931000183,42.55742121933049,42.37736022882449,38.52505701942649,36.12146850961539,33.40033970576053,30.395233865667404,28.577053167496313,31.874836277827974,31.027148346393986,31.00210271746695,36.27967323359128,38.05824540130375,41.5792191097657,42.56939153766786,48.51969385273763,45.6851634700218,49.01088010550504,50.36403563247514,47.014017087762156,44.49131382569231,40.85335546916454,40.872835115618265,36.421430424861875,38.556011578975735,36.01548123881447,38.280861879182424,39.33419978556053,42.094353393963424,42.3825147053357,38.61449794449049,36.7623579499843,34.52953419039587,36.464513482239305,35.51147499788795,34.07444556774937,38.971053900304824,38.299575644507975,41.67744932446617,44.55864312265431,47.95653214982988,49.98306856458792,53.31802647851404,54.889593317263966,53.364590191512,51.55326489639738,47.45913569881651,48.549720348948235,45.89273965804901,44.20061084747813,45.144073958477314,46.753005243425,50.02247314604874,46.99070074659981,45.28302092217045,47.046073444688695,43.2785000200184,41.84231065721787,39.351134498338716,39.42306461264421,35.25715580204315,36.049706906984554,31.38066498878646,33.75300126152793,28.62279127596311,28.58958082707715,32.710468374195266,33.35412069614625,36.86229205520464,37.79298394443146,41.71069027758836,44.281200075659704,44.729827044024134,46.85970180346386,49.662199338220255,52.5663041552819,53.000488652676246,55.604834696093654,58.51366608406655,56.760180158861054,52.99640155473654,52.3800947576862,49.38998465112464,50.43972601674614,49.8803446724121,48.4737773855805,47.46011256108189,43.87453349811514,48.00705466748121,50.35482994509635,51.78554170804414,53.75296289781509,49.87938023093614,55.52906661562736,58.73105244640891,56.3925959091376,57.85968245858952,55.51378259693065,61.21183726336864,60.56996622830615,62.42545666670314,63.93507517437623,60.21957846822923,61.0555841431415,58.95751058955575,59.179626245896884,59.62123868518465,55.559212570943664,55.40838519635764,52.81530962855124,49.65801388412757,52.36956143144244,49.22923488246402,46.16742975868881,48.50214306747136,49.6905563442912,44.886747354931956,44.54379432433152,47.416179267079094,46.63236556392179,41.48616793265296,43.19210925076561,44.74255235011873,40.5150845767583,39.43138499603825,43.114166950051406,44.52512073009317,48.007114067385565,50.83091131216194,50.616161537097405,52.590197836923025,57.588027768239996,59.9216991378204,62.66561536972908,62.293681274661424,61.54233938528848,63.4395807659214,60.61698670819181,65.26895316482364,65.00636337679758,59.311313353660225,61.630240709651,65.85648320451773,62.448004512580674,60.04810390820492,63.23678550402272,64.43531159012629,60.263563469724616,58.9549738257547,55.35306516246623,56.07110451341776,58.538103592779215,56.618741523885525,56.873596409206485,57.66674599242223,54.30135916577572,52.86089029035351,53.532014588466005,51.56525288499231,47.960830193036195,48.691354968343596,48.321836878792276,45.224436214829424,44.55725492439315,48.70310825230619,46.80952559663448,42.4795268949464,46.12111474334045,49.70710794211482,50.580886215262744,53.57973956225247,53.29742604421329,57.601178827460835,56.1137530336196,51.67614449691521,55.69969464706954,57.681733971148724,54.726167957448304,54.29145360803247,60.142961198653474,59.06337585039658,54.44360987337162,57.32452341572384,61.83571068874976,59.498768618127464,56.1655485860656,51.520343019366436,55.03784515261939,50.725023448716414,50.993475926848504,45.8156589558932,45.63301743569608,40.746536079066495,40.945674577476325,43.18771477523785,46.56974848352131,46.265014051346064,48.122571510771095,44.19607920292323,47.109686143841486,43.367732738234885,41.330338485504335,39.37250156758577,39.0662672647464,35.1079853470084,34.84631145250007,34.50845187403518,31.593619050598736,30.61336077950093,31.196054886645065,29.64603398603172,26.60430137396745,26.880201792617076,26.810079254723945,27.27104991479472],[38.63170550294128,39.36713680478614,40.54617571988043,37.731025099085805,40.79792634840752,35.19138369818558,35.402082059622465,34.734224652319284,30.619847169240508,31.885906526190492,29.625106135136704,30.228948723767285,34.54113935430917,31.836347535885924,32.365264957765575,35.41085547181633,37.61213184194801,39.6572090493099,42.719286703894,45.961251365658974,48.40123476704624,52.72918718656836,53.36703913309387,54.36389452345025,52.68935930918975,48.32204079687374,47.79572560005226,43.91089106572235,42.14088890591094,40.63678658431409,37.8244840740942,39.10095038268741,38.60123930989436,41.967572666433895,43.384857264964204,43.780824551389614,44.72605516385978,47.78749860527873,49.838697362340945,55.97656157988376,54.35464776915435,51.95163549852529,55.770229350944845,57.744596224747575,60.26574890960902,61.33566195430859,64.95999647697612,62.46435674389891,60.046925912502,65.74730764962347,66.29164531368693,65.25596357486207,65.89009848017152,60.50402405414348,62.48594623739964,64.92136534781704,61.55086611113572,58.59621779629112,62.2097570024015,63.793344505756934,58.67897842349294,56.32944353333316,52.61882963691787,54.50276422736221,54.90520151856098,51.40590479091612,47.10430530804032,43.44000155689779,40.75925781541324,36.61666942653797,36.35443565703837,35.57730031907733,36.77265354822241,41.50131862785673,40.99168846886196,45.263164961046456,47.727139572400844,48.42925254051399,50.2731300127455,53.61805946152385,52.93778481248988,55.40171980518334,53.443367829265746,56.69117340081898,54.421949654346584,50.934485475471206,50.960767875884024,49.136460429533315,47.603382043481744,46.55607542588594,43.26166089186757,42.64376899105373,38.97667484422426,36.94554494214303,34.50971984467962,31.27317449241492,29.75804604187082,33.584677446839144,33.207306651912226,33.75482849074938,38.64239001456963,41.00029976791875,44.10961847049461,45.55273342217814,51.44477015125035,48.778782777854595,52.33567908367154,53.66019897869256,50.407742572435055,47.87571041050499,44.20225564969749,43.803352065873135,39.24508751395371,40.98536732325351,38.02462401694184,40.03913144180866,40.72704165959328,43.23725725212396,43.03672468332967,39.508532489659565,37.64254579870097,35.78003046478316,37.84838852069745,37.331312318089424,36.34678980754181,41.40703022829515,41.33884532033194,44.58329230719422,47.64078093916752,50.98046486766062,53.03519610121348,56.509207751371015,57.80290466192915,56.305512906329426,54.2782693826359,50.06625718002342,51.225445750833714,48.19507360894303,46.19585574808429,47.076434454271336,48.190216507648316,51.255451235905575,48.21752805311941,46.825875595414374,48.61109110914233,44.95271337512923,43.67657211254423,41.4899994146443,41.94593455998336,37.96474699892662,39.19367600371431,34.59997575418815,37.22824091425992,32.353248924881,31.824727922124996,35.768690601491855,36.10740836900975,39.847881708904964,40.30666900015561,44.50580954880836,46.72706105625619,46.77806588601516,48.803010587409254,51.57850756814457,54.62362940132179,54.91226221864242,57.816599695085046,60.59964251373767,59.06263372814824,55.17716548009301,54.74718875457795,51.62578650899199,52.7608078688172,52.230842866292086,50.78906152026017,49.9771861527699,46.155071652141245,50.40681786297771,52.59351781914276,54.26232800678314,56.106909429470925,52.59128046773185,58.228873592491226,61.3440629461437,58.85431872700591,59.97741421139782,57.34814164465399,63.042319878327966,62.1817088827545,64.36199270389123,66.00931953162609,62.43432665326414,63.51345948347123,61.58725897235778,61.9912288431923,62.600086514208385,58.520116375503655,58.628301630644486,56.18221554947979,53.1126266183887,56.06262678421318,53.01917666216252,49.83487095202084,52.22791463454034,53.63798219672818,48.85199392115689,48.30668984897794,51.38606376374632,50.82904696129014,45.57706480140671,47.2535211727593,48.98135030273117,44.81308657965577,43.53435008859508,47.27369840785124,48.53465009186309,52.232240568794474,54.71405778607861,54.61289633363968,56.75080186535565,61.73004817026435,64.16065389983032,66.84273822446467,66.5236472734177,65.66265265589969,67.53869795589924,64.62048687432406,69.20643582276499,68.97394389399209,63.17308047655408,65.40703395850109,69.58898286636673,66.14761503779381,63.649361389538896,66.71212318150704,67.90706972296017,63.735186746852094,62.218644171697655,58.86385229143286,59.560816499855314,62.164194793662396,60.46562663131197,60.70834232613094,61.68179376326009,58.17737165213459,56.70104895160242,57.63443293037259,55.6669629048949,51.949505859051065,52.806237344748844,52.60832100669912,49.53059149633169,48.822016860460664,53.07989894214956,51.2842197591727,46.938817805713086,50.54551162683201,54.182798373274515,54.94607205123229,57.91613390712135,57.50660552580846,61.80097041772555,60.38073949318706,55.804801775884584,59.73994232562398,61.75055417516973,58.765279913157315,58.14064707422982,64.03409793816877,62.95244428796401,58.18725865454172,60.95918687824022,65.53521788869901,63.16432153077939,59.72311997309876,55.03777073751665,58.44417128013526,54.07005156635519,54.621190161116104,49.40014265146763,49.36557575184461,44.53746120149993,44.49428163843286,46.61366438593937,49.868097025056926,49.49775118741443,51.55308564704077,47.572153848236745,50.47463054133366,46.575389393168585,45.018340780871995,43.1185158877161,43.05980468678765,39.04904241851275,38.547116778430095,38.51790098146169,35.7238267607071,34.29388719065056,34.97448400758295,33.79017506647897,30.85295673944576,30.959843819786308,30.901102168515333,31.473902747097625],[35.974558697975866,36.842854637586484,38.376714819035755,35.403294450704905,38.986003562737295,33.57592959113784,34.18792755741798,33.985867886090205,29.966228796285087,31.488496092467226,29.68270888885891,30.619851605974503,34.73166009086111,31.86084219874533,33.077899910820925,36.157788038327936,37.95023823004134,40.35724778486419,43.29279918853834,46.6646498992562,49.16971275557377,53.53306343268385,54.1046367933815,54.81092539745736,53.08817105536147,48.637190151772344,48.032525300855376,44.07966374109801,42.654344475002205,41.2786789589957,39.08835267771129,40.213754825666584,40.191237017975226,43.7368493648272,44.75458330942877,44.86634410136606,45.62309979825698,48.429949088131416,50.20954934561259,56.419803224433046,54.54870796307686,52.49277340299872,56.49219648088803,58.2122897326842,60.60952738288475,61.40307210573474,65.15871946507211,62.88085919971519,60.18939884957332,65.8149671466784,66.65899723411765,65.67460477061664,66.57693296333667,61.13877487703765,63.40763939644133,65.92533143680005,62.45625121493726,59.71339211307594,63.52000754337217,64.94578831994878,59.84517445511725,57.81559211323251,54.2306924791544,56.03557429881293,56.1364987817885,52.58966629833544,48.2290014029714,44.599775386252496,41.68172276268639,37.64862486882306,37.17271835263368,36.63565729720581,38.161039664318324,42.90438237056005,42.51220119906374,47.18979173859727,49.32179583383903,50.33228860393011,51.89032676681776,55.02507124528927,54.18198592243799,56.323454729793696,54.28401593213427,57.229346214278,54.80109802265204,51.5610962344131,51.82403354609869,50.278697606918016,48.83472891420089,48.27470402569538,44.960293705829926,44.71523492249614,40.95744606959203,38.86683964407511,36.00362191933396,33.035732450978124,30.999744049770957,34.94756192267336,34.207792169593795,34.760588491108265,39.640655148001485,41.560570656853976,44.76209588818307,45.73984959837557,51.48091293352287,48.452037338332474,51.89062006626015,52.917401068327166,49.418793405206635,47.19282202841872,43.266341060263414,43.087132564151716,38.49665357940888,40.235302727997954,37.58711476819738,39.41425993270648,40.48313632573656,42.78093893479047,43.068401735459446,39.726887655400326,37.54533185704175,35.50540408711976,37.05678934028141,36.41590058711881,35.277671855545414,40.2532545504162,40.020553614084385,43.48368763656608,46.54633928944532,50.21233633971406,51.82862711009351,55.45050838764918,56.834885224012595,55.67861599594932,53.37587676931459,49.176603930686525,49.874210826103266,47.001644484234866,44.99689887123149,46.24734319571769,47.31038048933341,50.67579529976086,47.91833593605138,46.42554704727928,48.48113970481844,45.0159522059981,43.45749689402012,41.37776902710589,41.71076893117693,37.643693240168986,38.8208394960453,34.423757124178884,37.29983790873038,32.45482889474845,32.36497857227988,36.279707460016965,36.46965202040102,39.970245127007665,40.61168699884448,44.37840101165446,46.42804109720101,46.87490699581723,48.46522595782955,51.5562162652266,54.24005702980295,54.160529395275525,56.9923965582075,59.60162388520156,57.841272165614264,53.99183259170491,53.68868319312596,50.76943823412913,52.25933996076769,52.00865290639559,50.85952158417389,50.21231525759734,46.605977036546555,51.07298989800857,53.0265396216917,54.579367102753146,56.11916591838738,52.356739085786586,57.892254734816674,60.941786236546996,58.40706958720609,59.84350736865777,57.373460144376644,63.00559370702437,61.90697181666282,63.98695877077884,65.41200513411098,61.881318029358994,62.69791367358939,60.63132093934588,60.92143139976717,61.307252426406194,57.08072474054995,57.20672990822691,54.545808410213,51.71546631200825,54.521152591619526,51.69306922144919,48.404495258516526,50.42803219213076,51.9418818645042,47.21369404850306,46.24481752734791,49.32509350715298,49.06206080676317,43.58658974945891,44.98894941988625,46.786269237877825,42.76831324256039,41.098476528540104,44.70846029437606,45.94426115786586,49.74486565650833,52.01435191626355,52.19440942103411,54.3991172436485,59.442789321022346,61.806991329469305,64.61203024068301,64.59159042661122,63.84692193820231,65.93072622767741,63.208702191310316,67.75015243910752,67.24053606924923,61.45772346170646,63.91015249582164,67.89197719422249,64.26512586549326,61.92811761455194,65.10908911805402,65.96118474006948,61.69247301969336,60.503621256542665,57.09253121555719,58.24890587107319,60.85661399956954,59.14787184926526,59.69910183416749,60.7587026350186,57.439644745192105,55.65410910398255,56.500522742734375,54.838527609180304,51.00137367601114,51.51026430371712,51.456866650336515,48.4351522119805,47.38558320609502,51.60382419212927,49.92669166053918,45.42574276715542,48.752934547734874,52.44211994695671,53.08369844281575,56.235861881140266,55.97787705223807,60.18071637909662,58.48752736992752,53.88837687872191,57.96318616375134,59.714101377329484,56.60160004144769,56.10634078244132,61.94629002951705,60.57739313198367,55.823138879214824,58.76739767583262,63.18117028450127,60.580654359366456,57.14711389544003,52.44365581783095,55.608124030894274,51.14994956821552,51.72194453035057,46.56935696798897,46.852528363796594,42.14561590577607,41.779718874171564,44.00723002389211,47.182045406587676,47.05750530659387,49.355849301875,45.668388718615525,48.84841543668946,45.09962383658831,43.40098429758678,41.83829154709989,41.68810250502548,38.03058782998856,37.13405316016356,36.77276839450178,34.33350838311826,33.023768045332694,33.03057591777497,31.842784189698314,29.356046790703207,29.82377232622112,30.19400876696714,30.93121101540763],[34.69582077185166,35.82947941481906,37.840683666251124,34.91328588047967,39.032802973739955,33.813802404261345,34.90576307960447,35.03189814383508,31.257033513834237,33.12911850625035,31.727968178128414,32.77326276542384,36.80681966860975,33.95077718370825,35.66017082922411,38.6930140336507,40.23424777720546,42.94287659490866,45.83157058408066,49.23793803101319,51.8207994918659,56.175283689941274,56.73262745026255,57.227282810590175,55.441316977510645,50.95060621608465,50.237279937746905,46.23101810333844,45.0385766453021,43.68293736954935,42.00638321117293,42.888863086999045,43.16695481939565,46.877750337757696,47.63115578092165,47.616758798502744,48.14474845461947,50.84936342944998,52.42122235011874,58.63685919131355,56.64406522489624,54.89924125611012,59.01097685374922,60.52242109447996,62.84928648706312,63.40861996544852,67.25767530293736,65.13389639477694,62.2042573335211,67.7398032052419,68.80383597877491,67.8251987135375,68.93658569276656,63.47618694941563,65.92551255281921,68.55147805607606,65.05782214905967,62.44648093563632,66.38043065787865,67.74197473715904,62.684429683984725,60.88426824785545,57.38162865485717,59.183128675676805,59.071278122520134,55.475231968188446,51.141409306422794,47.52262992239794,44.503216595612685,40.551811017708005,39.96640466368346,39.62104655098328,41.32202579916089,46.05389158204866,45.68427901266788,50.58945436509459,52.476980343818184,53.63459761377429,54.98489445382016,57.969647891460376,56.94342213253709,58.84755465654107,56.66473432984824,59.39114161641927,56.906315079307184,53.863056366768475,54.374394839765,52.962062146910526,51.686787901069856,51.402549935682174,48.14766665037486,48.15964426854984,44.34120070043579,42.161844208821854,39.05013298250758,36.27731736979259,33.937171377152495,37.791760080423884,36.73625958415445,37.07768273983675,42.066032819689354,43.512246679543026,46.90520668455376,47.4207645138021,53.05247986388485,49.72005444058924,52.9543167864686,53.75976029441271,50.038431362887465,48.078376880691295,43.99250656709113,44.155004395757615,39.61465027619672,41.45399233932624,39.18471450062603,40.89854029871118,42.32732306512328,44.47903855807042,45.206003851008,41.99803551138077,39.60383263988173,37.39545509157445,38.49124874885259,37.675264577150905,36.31697524629126,41.124962898959296,40.561847571163376,44.23608971847894,47.21939318042494,51.15653330819584,52.381153582864826,56.06098696195483,57.617190333752106,56.73648512369283,54.29209063385159,50.16318039852031,50.42960764360674,47.81896352515079,45.8928467065401,47.47165434634118,48.57440200713111,52.20498951654288,49.69357415949532,48.07752362195833,50.326727494970655,47.00400973121468,45.21269331341017,43.15626494522702,43.290413533487474,39.138043781283834,40.10888049608409,35.86539427563458,38.750717614510776,33.8357853637454,34.25728700168244,38.19743608173199,38.421364795385806,41.651546721814256,42.575021986861245,45.9282724758092,47.94962300942359,48.78966360279881,50.07280857891019,53.391611655207385,55.75514020076297,55.40860868146156,58.09806689594156,60.57461265083008,58.57281260217034,54.803605144533385,54.56974808820699,51.87416822254014,53.62515026049128,53.58260417659072,52.661697295563044,52.068753248768864,48.69664553457439,53.23599938925702,55.085892275853034,56.481991328795004,57.84431324537361,53.80917095741908,59.24705523306391,62.26154886664371,59.747323770510654,61.510612382006386,59.2364923545657,64.80214654808317,63.57043777148707,65.49635466922017,66.70623440000865,63.18985015820765,63.72349293611737,61.49673595099257,61.63162266746933,61.76255393240104,57.425925226280405,57.47441611632338,54.56429633243737,51.93652398627355,54.47930744973267,51.8137663993155,48.51415111976634,50.13898959373007,51.621212876642815,46.966316362703665,45.68582714094911,48.624270599213745,48.51162333036523,42.91344588075426,44.01490880952494,45.73765020713576,41.864655600799786,39.89869273600974,43.26085404854022,44.59123697209699,48.31801945621656,50.58654314330144,51.04615702771876,53.19415586776966,58.31262567752981,60.49366793281422,63.49988892306953,63.77161921741364,63.236598550912056,65.5333154179002,63.068825128364026,67.59529858286868,66.8051202998184,61.12528924413261,63.825398851239555,67.62584428169922,63.84457958034129,61.72617400989212,65.06732980890109,65.57909257500243,61.224958089988164,60.46053093122658,56.903861599365335,58.498738585727146,61.03436732667926,59.206080316106686,60.026288149838166,61.03577990057764,57.96807293370152,55.966027529798154,56.56693536521919,55.15869594387976,51.32878865266244,51.455492079116475,51.391127841200564,48.417906018497426,47.11326563491347,51.166223849779854,49.50217730475757,44.90334061034224,47.96512324506194,51.627870447111896,52.2603713576055,55.61486034767013,55.615153473051436,59.7185820829713,57.70031423183387,53.20922441609845,57.472564345849804,58.92512370801774,55.70521498249596,55.47673907072074,61.21130388251465,59.52266664011573,54.887207969469,58.07320778198702,62.25441075734936,59.408295394024805,56.05377695170019,51.36726771105716,54.26607533034514,49.74420012227399,50.19048617596628,45.178335754759864,45.78505627390337,41.21691623699535,40.58645848348548,43.00239149710365,46.11998268145631,46.320606668495124,48.7957727565021,45.46862798345524,48.90961438524588,45.39205460172838,43.357769590712984,42.09162112921965,41.71590126969189,38.43311914091061,37.3354574284252,36.47706093735647,34.327441667027394,33.414290080172485,32.707581584754955,31.290673990240812,29.22913072339295,30.143210812743252,30.843122571918776,31.587184804725368],[33.332679302605996,34.21298915459566,36.15666228657657,32.616657866508305,36.92983600363147,32.163436820993326,33.20515556494968,33.965716402603874,30.04410478289969,31.53807265705768,30.47802242352785,32.17674705951181,35.55139511898279,32.239565105239315,34.46339253163346,37.60832681220982,38.548277450494616,41.27600738613816,43.70348186352856,47.36709010969476,49.75795861386871,54.169777207599324,54.47077408049793,54.668410198582365,53.055104650374545,48.53296013978846,48.015917836037,44.1200731202976,43.38842212874035,42.47618189012688,41.083622824918685,42.30916884157954,43.00930634835888,46.57590242334335,47.0021651573195,46.51176999468149,47.21482791319532,49.324330748173125,50.63699438419721,56.93316323086179,54.5042763501768,52.90894154405544,57.1545628731121,58.48975200217846,60.545867548725326,60.93459444683354,64.85026475181454,63.024503650296076,60.03612309592127,65.51345440607582,66.86672714979373,66.07146334678343,67.3643050429732,61.90443670919721,64.65541222332918,67.12545277219957,63.43220580611576,61.12245989272893,65.17478164389672,66.19649247271934,61.10359400341076,59.567184928463845,56.25342145513674,57.709457864688176,57.39345511194157,53.93475718214304,49.35183453485464,45.970620151831895,42.55991128218096,38.89233964771658,37.94223109403292,37.61413932443876,39.78473993536107,44.40688062391345,44.45594146807551,49.66213979527064,51.38686980186158,52.978179388275706,54.16212190861418,56.947527048016994,56.07509931069039,57.70237528153874,55.79336696685199,58.19730660802447,55.42134233399566,52.62226726138328,53.04272395406325,52.13115296878938,50.56955045042689,50.86897185169669,47.41075521304493,47.613071374754135,43.86108667697437,41.91098816735426,38.52215612414801,35.98860639414552,33.28822515219068,37.61862586950143,36.560155286683255,37.507201915227014,41.961786433073556,43.4710765660473,46.464106926922994,46.91861298143825,52.23989414984712,48.74319923790374,52.09901023192743,52.55944575753185,48.76730490628466,47.11089144920918,42.793808684846994,42.67640042608684,38.071746823950505,39.48102924017223,37.185747472731855,38.4723938139865,39.96909679770765,41.694546687180626,42.57291992915855,39.773911758245646,37.0932144299342,35.010078284824935,35.67031189527767,35.091449935286626,34.010127760221685,38.79353599351093,38.7176175905358,42.37384989557504,45.513984542290906,49.63757565634164,50.48387568807543,54.416998002031406,55.725693324326315,55.20412334741904,52.29270583669509,48.10129026021198,48.032547688099335,45.22912327991866,43.05628301576249,44.88629455978119,45.5423876292574,49.25717725593716,47.0406291084063,45.5807379475568,48.08651389112923,45.09860945192534,43.173000866923275,41.52565849256686,41.889644544217155,37.91274953369618,39.28824986812505,35.43454709601181,38.87393773216364,34.46830604010553,34.73137522649001,38.326676338602674,38.01575149561034,41.163784420069696,41.77105116611127,44.88044202366722,46.33452054490466,47.211508420219815,47.93343797384538,51.5120631214496,53.60232403713417,52.78554085249325,55.6417506175519,57.8339920662501,55.84969944991335,52.03475805504922,52.07943205714944,49.472398721089526,51.61756484067949,51.88487726939339,51.25241582041495,51.05027360581482,47.733440561327775,52.59495986746841,53.98384134335378,55.46901397443458,56.353106546967695,52.45783169529786,57.72375446888596,60.55678663193485,57.86747817880575,59.61133205830758,57.276335588042194,62.726616021052706,61.08739673722517,63.16515682376604,64.27174262969127,60.947510980497725,61.458119846729524,59.289381062542695,59.509712847272404,59.631163064160575,55.1900383559278,55.54728379949789,52.6777697059527,50.37121078181269,53.101717217149556,50.77391521477825,47.24762058077029,48.66781401779274,50.549945752072745,46.016839935601645,44.16374653551863,47.403060995126545,47.877662811309,42.02428428619902,42.932794895687046,45.024446767097004,41.40140134583962,38.926268135297704,42.349056225473724,43.323169495620476,47.49266040692309,48.98368224734283,49.70295463034877,52.177039719486984,57.229498944361595,59.610596334386535,62.47606270823733,62.98182696644326,62.29845325224221,64.67984539450491,62.210744589334496,66.56566996733171,65.62798290588182,59.82356184669023,62.533525280441424,66.099548774411,62.169659301381216,60.03254502158983,63.26708361628882,63.53953317565995,59.153711978551776,58.3439881211334,55.088000723709555,56.99025982961697,59.695337117732215,58.19639448019011,59.26443903113869,60.64950166484277,57.554652259105104,55.20968698842647,56.166703340984085,55.06524821033535,50.9488180698052,50.980474392500255,51.381425627996435,48.53257314526618,46.86346849992812,51.090071873009165,49.78427843658725,45.08241437634685,47.83982098277164,51.632168974229735,51.90279827031051,55.263121898556186,55.09777179282466,59.085225529029636,57.05197081603955,52.30594355800883,56.45364402672885,57.7967820349669,54.48800156286801,54.00073563427053,59.730200227523305,57.92551721264925,53.092706826652204,56.167340568107385,60.34094166737104,57.38273721691791,53.89275763459646,49.183198977605265,51.84137150411139,47.256675268592126,48.13039516071155,43.11022839233078,44.01636433748078,39.65402450413149,38.551146232465605,40.7801523698099,43.65600760044234,43.86668911888549,46.69263070117312,43.507091864484636,47.08567640729146,43.5361782840119,42.047027624706566,41.149865767899186,41.090191452843214,38.085492265748115,36.3063823672279,35.70111315139456,34.06783656342335,32.56545646786854,31.523426438254056,30.771020821573156,29.256761733247217,30.119891168472694,31.234468453501197,32.368139677359984],[30.34616129165575,31.44682339499585,33.86445831377372,30.392203051703937,35.25549465658214,30.84789726777217,32.4366774150863,33.61445957558772,30.093668692751553,31.983067269087698,31.47759323127938,33.26850186667248,36.45417998684158,33.27929816118202,36.08878480735287,39.08942232614725,39.70646407982081,42.82588801534148,45.23871239170529,48.839849877653435,51.37157146009698,55.70149208664734,56.04974567597783,55.985209982539864,54.228562599729656,49.709714976180145,48.982336576318865,45.04490033876956,44.5986705894413,43.69178389055758,43.048982838899356,43.890659534478175,45.01043711630665,48.77573893953058,48.80840221961693,48.161369579237,48.51774506254246,50.48888620511436,51.51195260465249,57.74139506819138,55.214946591022006,54.07599759724748,58.42655134474065,59.46217813059375,61.44553798977978,61.516032172185625,65.52485785087886,63.88644800731828,60.583559053387845,65.89906343688526,67.5179113232763,66.72336252360404,68.28956375989819,62.83398527486598,65.80614597834688,68.42782385538435,64.74307380054545,62.62178532958509,66.83053517470833,67.7819881215033,62.80286113367531,61.614546141777744,58.43658217206996,59.94500448563067,59.30591667436632,55.76700144215037,51.34182973985478,47.96394207077416,44.54026615666069,40.99965174754561,39.99562296556302,40.037588131713974,42.30293571402694,46.86327688841686,46.82816788518383,52.31852730827479,53.61892048293609,55.38917735423994,56.23652153394591,58.776264036912,57.626428232595984,58.9060164138245,56.808524124794125,58.892413749595555,56.072101331030396,53.56422472778708,54.33903355942154,53.605101075309875,52.32561314113271,53.01007954045122,49.69595136605298,50.309481678002356,46.48878607934837,44.403241735848695,40.69593881164483,38.48910237288651,35.41253467724163,39.515262258582034,38.05405180615179,38.77709088266356,43.235655459869044,44.13430586584093,47.28586513008354,47.15144362738518,52.24758355888702,48.40784039044232,51.49519749761712,51.65581400335949,47.638007134490564,46.34161590094384,41.87585150966587,42.1512215678969,37.68927438034378,39.199252231783774,37.451621543133996,38.6030956771216,40.565879987864925,42.13470819878051,43.63247750720098,40.98308884691781,38.10608517411616,35.791975925604106,35.86608635467828,35.01276852564442,33.63496104680732,38.096863481781185,37.608705255328644,41.45736475415226,44.45964138218111,48.86524396393555,49.22065132065683,53.19284064713907,54.685910590698285,54.511386529463316,51.4490697062918,47.39316728250288,46.80307218417998,44.375674667121146,42.366662963778644,44.570020984285755,45.35182335833883,49.37347128943628,47.475007968739675,45.828599574372696,48.53107711493113,45.74494420190939,43.54190439008177,41.92579665830411,42.02011467724689,38.0125643835192,39.13286007298578,35.583704613073,39.041907061133955,34.74436178057527,35.55474840997469,39.05481535685084,38.73176396993168,41.48326179957325,42.41000482719643,44.93634942363261,46.322002094237135,47.70266990497698,48.03926275715065,51.85980326861247,53.51655595126812,52.40446785081115,55.02567674634412,57.05756142787389,54.781122853652676,51.109828229223126,51.21512313317645,48.916172153107134,51.34840508607706,51.87198221843351,51.540035007255106,51.41658233181232,48.444879894608476,53.3592259544651,54.581570537464785,55.84986204658456,56.48772293497412,52.285293278289345,57.37251207599025,60.13717627232492,57.49896446914641,59.65319742871737,57.607819020860134,62.93053222363898,61.17108431964392,63.002148223915555,63.82532938912446,60.52933014371109,60.676122949288036,58.324039555160944,58.351095916525736,58.168380895999526,53.63388045567433,53.90325345973251,50.77719000233442,48.74284607309928,51.17274685521627,49.08665466584944,45.55779022346668,46.501576130729276,48.38511999120803,43.99721578449544,41.75073973819887,44.848831146027095,45.579003767033406,39.619143215288155,40.17162763226904,42.24074017383192,38.86310468512322,36.013405460333225,39.16510108993873,40.14772011657415,44.298877122443784,45.63501505061643,46.658508186342516,49.116665443161665,54.194014973044496,56.43009814089346,59.43955094467019,60.267886315472595,59.76997720497499,62.367555234325025,60.17893207482188,64.46656243131255,63.22213522782965,57.542973219082384,60.49799994271147,63.8251891022866,59.74113469827377,57.848256514981294,61.23016069479972,61.11864755756089,56.66360482159823,56.320859875212875,52.942334634215975,55.338601867500074,57.959259660153094,56.380756864656995,57.76856221910418,59.1505359492824,56.34924396931456,53.73156023671525,54.476931621374845,53.71614976179272,49.591407593148084,49.19564714799602,49.68021474192907,46.94196043408012,44.943765912809766,48.99712785089559,47.809898006652645,43.03913331452928,45.42107751275868,49.18506120512628,49.354015068031224,52.88697438650969,52.94731471644206,56.78124590073788,54.4348851031384,49.783118341655126,54.07138346725234,55.08553566863228,51.67739242005272,51.42818492274409,57.011464654257836,54.883486936174755,50.17624208257356,53.468874109730876,57.38028853300366,54.184297373320746,50.78185358909963,46.11754311885363,48.481471353841656,43.85921573418011,44.63372707166393,39.78585932333862,41.04220465521028,36.901373204873934,35.48019686808504,37.862966491971946,40.63622488990691,41.19166672831365,44.1962605163188,41.45439162545896,45.29319326931796,42.053215295078026,40.250622647304425,39.745792974903,39.489924384124365,37.00074142407723,34.919432812792984,33.8188507076047,32.640141240434936,31.507269866348047,29.635066238076423,28.78458448618396,27.9024127232775,29.206376284637848,30.740442810601397,31.957176468635062],[30.44808357135415,31.04510602673739,33.010874298566186,28.815379732974442,33.489643936336456,29.55602780095345,30.752638843447432,32.44490796010233,28.677693010385813,29.888189986474117,29.565216802527004,31.992960026070968,34.425347853839675,30.771625492243466,33.85991589111146,36.96064881297397,37.02312988057716,39.96368201269699,41.8480883671847,45.69255982746393,47.94316674389292,52.312890987244586,52.378130755990355,52.09323671364102,50.57936798865653,46.07258626160601,45.63848559139773,41.888428124410694,41.84667654104435,41.43795998465166,40.8386541628901,42.175426229806774,43.56938846371637,47.046848723006235,46.872819196333936,45.78153607393213,46.455253293812085,47.805812338947646,48.64770569027256,54.929320152156876,51.992810683872634,50.84953411985074,55.26330824703301,56.216430702182436,57.92809243035629,57.944646135048174,61.961129874736656,60.570152453311366,57.35515629738383,62.638826986074996,64.44487471555807,63.84765394719005,65.4842720677133,60.06847414628335,63.2487375060067,65.62937969559799,61.75733805721581,59.89827442496929,64.14384926902747,64.76052785366451,59.73876904260729,58.71733205584836,55.723366378705194,56.84291181390641,56.098567474583454,52.76478995739142,48.07985626671289,44.99500066556107,41.21979796845314,38.003702148378125,36.65379509355889,36.624860099195544,39.29845518222708,43.682801139249484,44.10006561391414,49.73982330777996,50.98259980964986,53.128041996409614,53.90281218470261,56.29242587281485,55.421656747241485,56.5240523410383,54.8276866642436,56.67272618129576,53.58126593790339,51.243766622003,51.76838541508356,51.51567742235892,49.837809802936775,50.9975128053006,47.46477894018347,48.14050803976223,44.46875096094477,42.70216987658893,38.88348178081356,36.87263938473552,33.62351572651224,38.209934564947815,36.9387355632685,38.39857940053327,42.17774819520056,43.40513743488262,45.98564736913431,46.05894903689887,50.84428603811476,47.03683388778051,50.364660465659625,50.28042719920682,46.35138856356152,45.233863710390956,40.6513479214641,40.3931987380437,35.872159553751935,36.80253673355509,34.8179798350039,35.51343549060847,37.33035468801738,38.468592932824784,39.88249133469356,37.66539579660953,34.59682726828446,32.55149106880162,32.34897188191441,31.898362050600383,31.00743214568651,35.49594148065647,35.80127440713551,39.458933258588864,42.66907011820802,47.08590367756632,47.25643072247579,51.45957529149387,52.55430911950835,52.613059678854675,49.123506543563046,44.97407933327413,44.268736853404555,41.456337246792714,39.10902582420385,41.403149580129366,41.62075322946839,45.56879876058149,43.88403456536845,42.5035761605566,45.37546369831502,42.914198779064954,40.708157088261025,39.56776370186987,40.04094698715881,36.32907336278164,38.01289506555156,34.8493927152601,38.8406604529577,35.175271466432086,35.513993392809994,38.58762475202236,37.68028995232632,40.46494755628758,40.869857361708185,43.34474104777269,44.09628321655095,45.27358675160334,45.14511773847022,49.107011142908675,50.637101965941454,49.144036106734944,52.039596939874414,53.817709674509274,51.72029397495832,47.95520884758569,48.34328037619988,46.018714309022066,48.73503479845915,49.48276989874165,49.3408494709409,49.62120505041332,46.595742649299225,51.78075063477815,52.551023154164014,54.00321502407161,54.2161553177186,50.35855865406216,55.286229907906,57.85610793190034,55.01899328569311,56.941965111431315,54.71759694434145,59.92835801646815,57.79548790841299,59.88533589127538,60.72280390445595,57.64578759509115,57.94250274692816,55.76413599314643,55.98772230310808,55.95735664359331,51.39264962980644,52.06507565195084,49.16426118035415,47.374559707968146,50.17276823045957,48.369245880816116,44.6214444092267,45.59134629246304,47.92813199985133,43.66206821471378,41.00346153079425,44.509380521988085,45.775584383396115,39.68043183620749,40.21948854153039,42.72194459958287,39.55339727698416,36.394124079986625,39.74241266203655,40.253252749457985,44.89959801607963,45.362741256953356,46.47439108738217,49.31173127034041,54.231410773605845,56.78705295388995,59.49723523462454,60.37851043157219,59.58199618231667,62.11873784583587,59.764581103938255,63.85789745290094,62.64242037552422,56.784383538479084,59.573519137636524,62.7468064204171,58.61692489196703,56.56546640200723,59.70431997481357,59.551336580968986,55.13500839878818,54.45907079930634,51.53601045506272,53.97881531225869,56.821845506447616,55.692097662174696,57.16760243664442,58.9782989979073,56.002647172474404,53.16947628633825,54.453592444203835,53.858517598372956,49.452939851681734,49.20567262891947,50.186913556925276,47.56965606502523,45.37297071088046,49.68358057042387,48.869330082103986,44.09942889939374,46.31943745483901,50.20304003595036,49.99752986454514,53.37543123499408,53.08843174782101,56.839977597763855,54.708116576525796,49.740120240100424,53.747694134287606,54.836454909354,51.42429366930167,50.708162392055755,56.326355244576774,54.29625318794728,49.31388463371657,52.29575770990736,56.3355060975649,53.19660382408848,49.6045963825436,44.92885280653935,47.18425925578753,42.56262676952909,43.922699810569156,39.007444232512704,40.37042685689918,36.41366759860181,34.646560135382416,36.64655900343784,39.14755403005515,39.48287256313302,42.75926560699865,39.96091285013672,43.757433203357934,40.35305326582119,39.41250208953393,39.13250615052972,39.37285136338529,36.975405747070496,34.30239268682382,33.827731264483305,33.034989691216104,31.025960457576122,29.277403172745927,29.341659726377394,28.77366692247813,29.70562073136203,31.441180966179065,33.019131328425274],[28.429272334707512,29.31171042716846,31.83753754088554,27.830513635550172,33.07242933239207,29.550612877558297,31.332855833362657,33.34923603806491,30.069144126018372,31.71476359022075,31.871805389959132,34.23868162027206,36.58153166512136,33.175960307946454,36.68267941171962,39.6056362679849,39.46211611811982,42.7357594999597,44.64908159624444,48.37580524892623,50.76291602944377,55.023406209425865,55.158710141819626,54.659813308501825,53.00682631157183,48.53790168549456,47.88621360413005,44.11485592050184,44.285875214564186,43.820635297734256,43.86519000963295,44.79108193601978,46.48166352184461,50.14442176144525,49.67541453791202,48.52233718148184,48.84377238714369,50.14177113282128,50.734478506985155,56.90744297197628,53.94116022907921,53.227354436737954,57.69977248932936,58.379336021198945,60.04083400798192,59.76580789710208,63.844512042480304,62.61244955632214,59.113416173171885,64.21985860724871,66.2486626089977,65.63487299241575,67.5089629475365,62.12097156309989,65.4613967777067,67.9911482753762,64.17032167189565,62.461246263732455,66.81202929972598,67.40411842649428,62.5125486795592,61.78222638647989,58.89728989571427,60.10208828436116,59.09461017330618,55.69153651988302,51.20467632142302,48.11271593966697,44.40252770561622,41.2868070378126,39.95223911767567,40.229631359228435,42.90078873254214,47.21721165515371,47.5067059101894,53.317934204195225,54.21471089657417,56.44457232755473,56.94502774660321,59.133183347210775,57.98927026045045,58.798765600585625,56.89179098601631,58.46379321701802,55.38256057153055,53.307800827722886,54.179622978341435,54.0220982504412,52.65454517195911,54.066259910394365,50.706942864372934,51.70171251389988,47.975340849015495,46.061959136048166,42.036563147879065,40.271124485145485,36.789293892449535,41.059124297137444,39.435325375723885,40.56572094400982,44.4262377641072,45.05402111138486,47.83921966749133,47.343859466650954,51.92276466887662,47.81150906946815,50.81956616607709,50.46721778248385,46.3294722264003,45.564012089203345,40.89151207203727,41.0898965511905,36.772457456024675,37.85403636491218,36.456326524620195,37.05857573638046,39.314075743006626,40.33356987886995,42.313797750011375,40.2181691694942,37.03423292530989,34.78074974000804,34.04688300131932,33.297347285017985,32.079146647042926,36.16510118419638,35.9633984181749,39.79530996984042,42.81013538578667,47.47389517408319,47.15764453946369,51.349978399344884,52.6670003644667,53.0541762311555,49.47887233112662,45.509469974826175,44.276446443801724,41.91971867314192,39.79525356370375,42.436350190913345,42.820592485081654,47.04136614837775,45.66953738352865,44.100875914546044,47.1170598930998,44.83572982814413,42.391775558524046,41.23875197538408,41.40543926634715,37.67337115496043,39.01974961255821,36.12891082192235,40.007656153771926,36.387237051370796,37.2758739487894,40.30050826811846,39.48475084040963,41.87424669916017,42.64076008450286,44.555399475097296,45.310249615960636,46.980454829965815,46.53609931552273,50.68319850915468,51.79279456528346,50.05132171961835,52.66468638449799,54.28453318320695,51.884318715505714,48.303774187755295,48.73056005745127,46.743267333491886,49.69930610425256,50.66947041089748,50.79534162028459,51.09764656481668,48.42235850246435,53.57969477125299,54.25233530990921,55.4698844967953,55.49984141204878,51.33206818134235,56.06966210531035,58.57825865808797,55.828114688000944,58.16400510411417,56.25163138997287,61.31909475901832,59.115676164648704,60.928140057824756,61.47875576519011,58.430009845210186,58.34483689888356,55.973597858853566,55.9767700977885,55.61549579036819,50.98105307099966,51.52170927724441,48.343304296874614,46.83483676594025,49.258875396961066,47.69325296886934,43.99457885361313,44.44239347388439,46.72073082335422,42.63065152631241,39.60277055087616,42.887486654649095,44.370809834037956,38.226306003300934,38.36355858808687,40.77837534672418,37.890296755585254,34.37131455993897,37.355922969321185,37.911115919069154,42.46106980004051,42.81283615407681,44.269929088652766,47.03960017589547,51.97610180725274,54.33924368357473,57.22239867346494,58.450746969071915,57.89181774824861,60.656595395681045,58.62848022487465,62.65508293148667,61.11466305598302,55.431720509130294,58.48930973639297,61.4119902416515,57.12998589340244,55.3679585064994,58.6764320030045,58.10806120802626,53.627992639419645,53.49795422696103,50.41636870758324,53.37106021453516,56.088645802278755,54.834263513798945,56.62365326451654,58.36991440784019,55.72849094228908,52.66140492466526,53.65539438261474,53.39017489177238,49.040644296346805,48.33939399104225,49.33866828181412,46.83782094023845,44.346524656735646,48.410879447455734,47.67791760677919,42.87913024634145,44.70166519275225,48.511188917294206,48.242324324222196,51.80330587840538,51.79846299152367,55.37566430052804,52.89330982047387,48.08944714810648,52.25671095995434,52.971846534804534,49.46482326162348,49.061790355574715,54.48875982965047,52.09157074447947,47.29628912945433,50.53814254287002,54.25494075530318,50.84642424621021,47.381007441214955,42.77933355863967,44.67275557183467,40.02217137820469,41.222546948618046,36.55032710943963,38.3211924769696,34.641822567695925,32.53278077382435,34.72444963189727,37.098178246808466,37.85747013341642,41.301134424199,39.031612353685034,43.084379684466654,40.057963926102644,38.71186652813972,38.82465070386927,38.80336036352813,36.94954358370545,34.0738098744587,33.019540813923996,32.66923132331141,31.172182897682923,28.576593875739267,28.44413591898137,28.504719420236945,29.897192872783652,31.964279740118563,33.54007359224629],[24.506257734329633,25.5298045789004,28.186730069617422,24.57610541376821,29.9012970023988,26.14692845007319,28.229822260638592,30.0844833276932,27.100115783196866,29.244448824336164,29.558222344676132,31.61666755064994,34.21294381713409,31.217711982012286,34.81809330439637,37.55754456652038,37.597228929816666,41.17673835381074,43.49050966904111,46.9438244594428,49.63396339735498,53.78413724881971,54.20961153418092,53.78878862618961,51.82719332120701,47.37653556701589,46.36533301145983,42.44766599630952,42.448240416180035,41.660722415260224,42.10722212556409,42.51331440186388,44.30198118483237,48.204980706918015,47.60413353244253,46.63528578932945,46.57291224395474,48.18904615001941,48.775611374887156,54.854131933805306,52.17894950542589,51.66962484332764,56.119184733927696,56.72437586085243,58.583940365083315,58.240913833788426,62.33291914098091,60.95646117021524,57.27794250519888,62.34637268566173,64.30663648601727,63.543356491195404,65.46331054401625,60.065960306681134,63.34542632255606,66.10791123876663,62.44286044265509,60.64057914087979,65.03554625449158,65.8375822236661,61.060241060603786,60.41664651375686,57.50141947655373,59.04142540803335,57.906018763275014,54.30400919124251,50.16542890108995,46.858951135872616,43.469430864750606,40.205041494574836,39.144206366280144,39.78053948017205,42.122441552078605,46.49073868379738,46.34321716755316,52.21450503302563,52.82604602927177,54.91472331998456,55.22738653601488,57.348671436376236,55.8763288259084,56.61652496427685,54.39138407463017,55.965513360605314,53.05030150156213,50.99413599986272,52.18890996359074,51.82169544355804,50.86920900407347,52.21607308852557,49.1108593687425,50.36495365164119,46.52691360689601,44.35176107383342,40.20839284795937,38.59361687326209,34.99062988686248,38.81189178293493,36.88670342818145,37.60855122077971,41.67948584386056,41.884516040203884,44.95681091036541,44.140694507059386,48.769197746017966,44.56365489216583,47.389270307290076,47.1059641978377,42.90342383231479,42.10568872853001,37.47370171362277,38.025734520673545,33.80026776099851,35.25629450260469,34.20097895763531,35.09135540226991,37.612620476994955,38.950462525281345,41.253499751410445,38.859171942732544,35.780622532919224,33.21484912759507,32.49703140180146,31.3215936243297,29.662275223052124,33.62877854721056,32.845904876338665,36.80512619374718,39.670181235927366,44.354748079704635,44.10078065336619,48.15182610236326,49.72224710096327,50.00446592005517,46.6844213829074,42.80528646237999,41.613431583287024,39.58281132242653,37.76895132098293,40.37784775672201,41.30163556215548,45.646522102219606,44.17099725784078,42.31375094777721,45.236174299700274,42.79534934735574,40.26621494038632,38.80748465397798,38.64788524953132,34.77087017265254,35.748687568577225,32.83161019082789,36.50021224853027,32.79686466063396,34.03484442226635,37.108391015631426,36.51532856137934,38.70406716621828,39.83144242501713,41.54351578661601,42.63399408920224,44.59032563366564,44.34599548980913,48.44500740854712,49.519594772907496,48.03053778635092,50.37503346592431,52.19216951884377,49.63021498362581,46.139870614925954,46.33476914370313,44.40854184790483,47.1972374563236,48.07424503364509,48.1691297983011,48.26417716782618,45.76423006751575,50.772856629521954,51.61975679621401,52.6508370031287,52.852334814154396,48.408395733512165,53.18719384240897,55.79870249826351,53.19541844109909,55.77880717848247,54.08599063209222,59.1851716913503,57.26203773871147,58.79698547962857,59.28713642762855,56.07355852936289,55.83083215111377,53.321889085547625,53.1781008848094,52.71387205506163,48.10709998995131,48.38745724510581,45.090839339079096,43.42755517979825,45.67845186592505,43.972700860338286,40.369786698388126,40.83495006839687,42.915462210142735,38.75849177751087,35.94438855254028,39.08629764608133,40.343124029887285,34.23794348521546,34.44822703635664,36.745138035939384,33.744952375165994,30.369336710718652,33.412537452453,34.11462413504295,38.54308561384397,39.276605166477765,40.55778224369268,43.205238672081904,48.20170751518574,50.545958281072934,53.46402022885279,54.56562082898396,54.0659362079302,56.816078576865884,54.81304637354232,58.93056946995241,57.425201194385146,51.789237056196804,54.89351485146801,57.93342634687605,53.70205207532588,51.973040116774136,55.40165113437728,54.936622877762645,50.44430397351512,50.42186205098056,47.07852320212759,49.96347743724358,52.57119057638067,51.11015675189389,52.861735177792795,54.45165470568585,51.88790206335496,48.88375888754698,49.67975115448323,49.37881943382899,45.11709920998317,44.348659708423845,45.21139811516364,42.68696296327298,40.23190965122909,44.247473530973146,43.43980783530444,38.63494290531241,40.518207150048426,44.32052168808544,44.14278733202245,47.72204216217414,47.78816923213584,51.417059886821356,48.91950169336746,44.18444778524401,48.44021009182201,49.20251833442016,45.71592641109918,45.44956030277448,50.91487305997802,48.58312434163789,43.861027590322166,47.20333788122379,50.95606947233747,47.62261105492475,44.21535203154419,39.58548803643752,41.73448125695557,37.092157374748915,37.99742876140087,33.22876762180237,34.780051184164414,30.926124668400764,29.094943865201934,31.45135920485756,34.05813115832998,34.824437970606766,38.04264250727865,35.71677533171618,39.774647266377414,36.84011013020207,35.03960902737468,35.07591894025077,34.85573262205521,33.04521681937984,30.3387202159958,29.017996187581016,28.607247730944547,27.45337812057125,24.701687258214704,24.287765204166508,24.384385082766848,25.945509035287838,28.088424134769483,29.62727664923257],[26.02289592128994,26.699093064727407,28.697884055674827,24.894764140990315,29.576970735665586,25.297307211077733,26.757497619776107,28.23032260553331,24.7056838873384,26.48637767892008,26.308038864218148,28.3953726832284,31.16798280209394,27.963795257652773,31.178703065600697,34.08861253767816,34.3876837181051,37.7088238049314,40.09565433235287,43.625369551960084,46.25126678468852,50.50225703784,50.91956555106338,50.733707419658764,48.845310427506554,44.34523893239939,43.479697580484746,39.535721182091216,39.275639603570575,38.47634408086281,38.337381264204616,39.067142175612226,40.57983037122889,44.36114041245829,44.03333181569875,43.159758554074315,43.38961949422202,45.129843210585555,45.9801559368569,52.17480511772094,49.57816689151337,48.65935012019801,53.05629680598443,53.933189251162304,55.889854307130655,55.83719450281547,59.87753339322504,58.302335159053,54.87795136287944,60.13676780523482,61.85493120572088,61.08161644814781,62.76689328193954,57.32403987697936,60.43418645143595,63.0903944080508,59.39251006388103,57.414285466675594,61.71830308908508,62.5879096899331,57.688492014319245,56.765114998760346,53.723951206443395,55.252911380215544,54.35381994802776,50.77104480902232,46.492555100325426,43.13232986496495,39.73667030274348,36.31608916682454,35.30372467222326,35.72717906490161,37.99545362846584,42.46333526452066,42.340438682857574,48.077574660925954,48.97729262635117,50.959305102770706,51.51328598180856,53.83412224675947,52.576571784936135,53.61064603125073,51.54298253157934,53.409138636952555,50.50250329890969,48.16490553177128,49.06062364196785,48.55315351027986,47.3550770479675,48.437194704812946,45.19342274098048,46.18791743770403,42.36312409309427,40.267993267318886,36.28003536791459,34.43784000197391,31.01051593072529,35.10039617575083,33.47016319399324,34.485642790028884,38.53077279843056,39.312059259161906,42.224064094918596,41.96704295327513,46.846823363956965,42.94292586655357,46.10390203532774,46.12337607937008,42.133826250542825,40.938233954399855,36.39637511624944,36.490125959081055,32.027160822274105,33.38859245404161,31.745064468826588,32.80258051488951,34.92455170308733,36.46402369116807,38.255416834586285,35.65323162347791,32.70068780883716,30.261692120679708,30.11313449555375,29.163437869296764,27.764850359364203,32.18775898299509,31.878499433883427,35.6771328266307,38.74887402302704,43.1761678328943,43.467759341292904,47.51923845317524,48.88351673417324,48.79291162672553,45.5961233384011,41.522728643359194,40.91340072826264,38.427734601504554,36.41832004244048,38.656007652818516,39.5054442292033,43.5984663261689,41.76748998298589,40.044597488086765,42.80695113037941,40.13174218140461,37.82769186938227,36.314002038812156,36.428645466848586,32.521689574556056,33.82358156877304,30.574834315393662,34.3742791162552,30.591525739821584,31.27449452756825,34.43030394959075,33.76390217296706,36.369706938110355,37.168098234196584,39.46681773839236,40.613649614639094,42.09775176638832,42.229171310726805,46.13627315088207,47.6583583886821,46.475901811702876,49.08383714732391,51.106134921159516,48.83944132842289,45.15772940374199,45.273042016099566,42.98509114954871,45.494908310000774,46.11939380008342,45.92168978697818,45.959242114364415,43.1014766521128,48.13799201055612,49.12086771373049,50.375701559922746,50.80178527216271,46.63281035702468,51.63665276212215,54.33627952843749,51.656467454247334,53.84445219730565,51.85368514617508,57.123032857014366,55.322025493315515,57.10421177291351,57.88981928039302,54.61412628997831,54.754907500306786,52.42752104746648,52.501403581950704,52.38366331241915,47.85055421377133,48.24163323958091,45.236321628175304,43.23957776591375,45.89191195037821,43.904092547363,40.25283376200409,41.31118023078134,43.43965989412807,39.078426056436705,36.70773017697883,40.088786977269166,41.080435516399604,35.04389810098447,35.726981845647295,38.115011176407634,34.7935122529357,31.861112857675018,35.31966588409652,35.96819715327287,40.4884696479142,41.36263316032719,42.232448927153364,44.944166015148454,49.91259351050519,52.469395448018055,55.18472950205724,55.88697885572013,55.12311640161479,57.614766226105715,55.25109982520988,59.45113405448608,58.310883264610744,52.486269766860886,55.29577990465643,58.62633782274543,54.56938348183499,52.522233926282105,55.77677830703665,55.782971126648896,51.36117561283737,50.745751234478405,47.54695431586386,49.85520427226222,52.59136712507404,51.247762489247634,52.64828070405676,54.29590230640039,51.367938741585604,48.62532129577628,49.72832899679842,49.058791392970086,44.73475931264644,44.471625851174764,45.308017234206936,42.65056514481667,40.53109570074725,44.82441182674321,43.92557603942075,39.16108292515667,41.49767933704284,45.379314808572225,45.274381185923396,48.639042816556,48.387728723916815,52.21358153499391,50.11516578513686,45.204729905617036,49.28013615861838,50.46669313786725,47.09513420279596,46.48461257257936,52.16196381613922,50.25269729377255,45.33281054053577,48.38599818985428,52.50002337845107,49.48184678786969,45.9422644506172,41.23509284979938,43.80640555229045,39.21524281340704,40.275217572280184,35.2428845692031,36.301322482144315,32.12426188232183,30.719856640923318,32.85611646974638,35.622135417494164,35.90239574952454,38.90343968790569,35.97307623552262,39.743868509026214,36.38997868379569,34.99765354199264,34.57546341178897,34.6388589365139,32.20234071442037,29.731163853470303,29.066124786019817,28.131443744097336,26.395484437774638,24.625357506537007,24.43403215475902,23.776482706861024,24.807309461187025,26.585142185403352,28.15427694417359],[27.697271869447604,28.66065613108856,30.69758132070381,27.53918216855428,31.94135624029851,27.032540028048647,28.44506554687868,29.15264658348135,25.60039072978835,27.717578834439184,27.01244239539811,28.459530328740737,32.018048284184495,29.164373664468567,31.754966015072572,34.656968932414074,35.63783804984455,38.86385640611087,41.70492187960429,45.05607358177266,47.83175875920358,52.089108423909,52.718221946699025,52.87319924655599,50.86953011527665,46.36694902007355,45.384372034449854,41.319197099335,40.53802091438322,39.30565000166868,38.68131057943026,39.203675809779604,40.23012459080658,44.14657724004324,44.22334815726198,43.82739691812468,43.989961009535634,46.34630155692165,47.52615779070242,53.70472315921423,51.52146335552069,50.330292493141776,54.60360460325192,55.728350288677774,57.9552337559098,58.14208741637097,62.110632392390166,60.21572510079968,56.91603086666538,62.289133134468436,63.683164939192515,62.74168926487437,64.19841030794056,58.72891021050353,61.521734938410475,64.29134163983294,60.75365190665012,58.442741874480234,62.619262100603194,63.815502797390074,58.89060426441166,57.627344834562095,54.35613808193864,56.18498219588886,55.55858218629524,51.85340123516778,47.71143593074028,44.10569632479012,41.02517282244152,37.26167300511864,36.57906826030017,36.852926641013944,38.7137387833547,43.35818440891429,42.89377093502805,48.34007426262061,49.52158748212055,51.08052842074788,51.88412989612849,54.47243578279896,53.138557444157875,54.52837389903293,52.23487738519093,54.49711000331706,51.857661584731744,49.19876157972291,50.09268545666171,49.066546803194875,48.046788627109564,48.49733456452743,45.36421098688863,46.07905318035958,42.16629302674235,39.86998584243638,36.15971564688073,33.964544297803705,30.905504479568137,34.695212957495364,33.13543293944047,33.62924937676586,38.27648062440788,39.145510324829,42.45785367518874,42.39047316278394,47.67656035751263,43.97555929557115,47.096136874420374,47.523287884814515,43.619752427174774,42.03136689422356,37.71111873839554,38.010738508023366,33.52867483190792,35.3230831677912,33.535184467534016,35.06643608072847,36.99945483710061,38.99787577447817,40.46100380007225,37.41129760664843,34.7553732875473,32.2482009440137,32.71277008477617,31.61252376034304,30.007112368253416,34.58451134436256,33.865822582968384,37.67465817128134,40.63943468071169,44.84932226078316,45.62422689723921,49.434523743386954,51.01336298987091,50.49693807809583,47.77615188798551,43.71257380614533,43.549567712999405,41.15729492498752,39.33749697024575,41.24147881161325,42.47773861427482,46.4198165056613,44.217381271278306,42.39529680809792,44.87852702251173,41.808530890128516,39.69184657392452,37.75404847048227,37.71147232817017,33.58016706816919,34.543749748669484,30.75390192145949,34.05715744726242,29.62906377905305,30.386446186868135,33.990131836260396,33.854242817486124,36.681574268553646,37.735743810509,40.447381324078265,42.18733809485239,43.52018162079611,44.29479767753884,47.91549585212713,49.8152245022886,49.14760138050044,51.66463210683764,53.99614889664983,51.77612789195689,48.09619831509307,47.93305080917885,45.47744629729148,47.548666684430444,47.81497816948904,47.263602207375726,46.90280106973767,43.88075692841178,48.642065919215526,50.116192107037364,51.345821932267405,52.291150786342165,48.031419135126676,53.27314619920933,56.17593344916002,53.64087765702532,55.7600823541072,53.74475640673342,59.17583297301175,57.77315151466131,59.48416641144449,60.43483248635305,56.965456695393755,57.21067713579836,54.86139231573546,54.893401767425125,54.84400750836843,50.417186402033906,50.52105378999439,47.507983295717615,45.12668181953201,47.65168372612346,45.26311882344389,41.82009485489993,43.17632501907412,44.90012162001672,40.35148619786545,38.62920957678882,41.732716629470005,42.0739278130503,36.258578872817715,37.202371037883296,39.21411314877846,35.54784635078517,33.177972709391845,36.63586273959715,37.686962258401735,41.76623330347456,43.496734606484026,44.07276010895828,46.45708124744049,51.52443673581074,53.896713832837165,56.76097112903519,57.197399205545295,56.56280799925488,58.954352523689444,56.54736293621542,60.94919612576513,59.99293777977635,54.25323561867581,57.03019628391511,60.640478043259726,56.7405727147308,54.67184038896741,58.01964069772952,58.319255167803604,53.929085104292874,53.286356367818044,49.79585460980553,51.72330770093229,54.31582875199185,52.64493890774318,53.75284622493604,55.0324673260599,52.06419242093685,49.69440335594988,50.472987823902265,49.43290457178914,45.36432277294189,45.26209724734377,45.608739038850594,42.774395187141245,41.05889233015685,45.239663931185824,43.937766588449456,39.224577170243855,41.962947477602356,45.753893344016774,46.04262997590065,49.4125862109372,49.305393294191425,53.29730074721188,51.235708199251924,46.54718123115698,50.75350414054554,52.09779869613073,48.810644192894706,48.43952782166058,54.16341026675698,52.399872488631104,47.65149481945214,50.80536099125852,54.96925645658887,52.07772116843262,48.65791694396541,43.956441088443164,46.80523611222533,42.27007886504022,42.89479976249143,37.839927492275095,38.55292138982049,34.09368236909209,33.23242885954598,35.570508005078,38.6135054134383,38.842804473674896,41.46562004962389,38.30256985748532,41.905930071959006,38.50633844579648,36.58190506254604,35.68849087313827,35.44458983995453,32.57549780190492,30.863032654198236,29.985855839743454,28.373306341708414,27.191157644483237,25.92204326555349,24.95356357964939,23.530181415305034,24.58745795229166,25.888990066242098,27.071638734384063],[31.20108655347734,31.737457137218996,33.25230125208875,29.47711684828794,33.46478591592593,28.728229929750675,29.4762951123357,30.325516886622356,26.244323372807028,27.477383908916472,26.449311755826844,28.386764385756084,31.501429410423903,28.06143370296529,30.407382399034834,33.570217978415094,34.354280832025594,37.09780935081761,39.48155695802658,43.15291797746821,45.55466390240444,49.956054411785864,50.26826237759188,50.43803239579077,48.7905302294917,44.26658294252963,43.740083878622,39.85516332400254,39.19356721255644,38.39051466223029,37.11569030249769,38.42748375602614,39.306494588659575,42.82566624410987,43.09530357324409,42.45300381862463,43.19950309672392,45.1471740661322,46.41472539984568,52.723469733488976,50.235883931507004,48.658240440798544,52.923194792948095,54.23047389076824,56.26894767199467,56.65563285538606,60.57320837708681,58.759750714789455,55.77675756982525,61.26222511072285,62.628843198482045,61.86612069171679,63.17541038755117,57.71675465847947,60.52418598710029,62.96308107334766,59.23481331026211,56.990678485037094,61.07947941947221,62.03704570571146,56.95243656825044,55.51534248722742,52.26318005490483,53.691846585597006,53.273468677544216,49.80951984056612,45.24091950170813,41.87737884542849,38.43877296935075,34.815743523923814,33.83888878892394,33.65842522077077,35.85819927723095,40.45711635304307,40.505584120691395,45.85487436904926,47.41739310808156,49.148107591615876,50.21683779671469,52.91456494878201,52.062656981313495,53.60710939844007,51.79565345535912,54.12321687729408,51.27556652760888,48.51981951815199,48.90449061707899,48.13458788455316,46.511892143942724,47.022082299365984,43.53708241353604,43.9014925533174,40.15283995988555,38.24624399415404,34.71318113857187,32.333862755699776,29.453085643158282,33.93022113747851,32.884840186282446,34.168661480687476,38.30501303753552,39.94218151919806,42.69138855013106,43.247069263918334,48.46669411009229,45.02439543819573,48.51895165005001,48.94751995044741,45.246694455301494,43.573483811731826,39.247483884823026,38.85800573431573,34.20912858731442,35.444055010735376,33.02053536043379,34.254365670569584,35.697496352843416,37.41975573065652,38.30151232547306,35.50967681275149,32.81030949276814,30.731602309972903,31.42226260612409,30.906224105271324,29.95199503373358,34.80933630150271,35.03590887598281,38.577213030365655,41.80947252125268,45.86136693238598,46.78550423298423,50.76829934359244,51.91278620618622,51.37204289322086,48.384398402262704,44.14231794507759,44.2006351741944,41.22809072983347,38.98405645035804,40.72904439235974,41.34551430805503,45.01296859063445,42.762024598044235,41.32622990810792,43.8305749256168,40.87754947912039,38.964713135267964,37.41145112220336,37.90267448583536,34.02029062982637,35.63814732810325,31.91434350808193,35.62150734743814,31.56390109518751,31.545130586175866,34.917073877996174,34.3298339497868,37.51145019296781,37.897596649638764,41.02870357413276,42.295886211930835,43.07892166014617,43.741315342396334,47.32200148615015,49.43548182422241,48.62624461866836,51.55806597734564,53.76503895337211,51.88237356388848,48.020188855286726,48.07699043225701,45.391742091346394,47.52688843955196,47.80630654070432,47.19336127775672,47.108929130586155,43.76047102805554,48.72253269597107,49.9615761671765,51.513343312505235,52.28941703208042,48.52649429614606,53.77245799113425,56.56524947847061,53.82038562721019,55.45827204604484,53.06545307559732,58.510037174929494,56.843168903539045,58.975611204922444,60.132157058740304,56.83298782767038,57.44624855721289,55.35844189151979,55.673472458987675,55.92623055909161,51.517324453521894,52.004867184524585,49.30327931628126,46.97414401177029,49.94204987729252,47.642196529286906,44.033566407088834,45.646620862196585,47.70711293432563,43.17822861051019,41.328518204381,44.791835293170266,45.40165366002693,39.54062026873875,40.61149072378997,42.92378976930624,39.305686370212506,36.862045861924805,40.5282470902439,41.263105339307884,45.677411364274185,46.85701329654954,47.415924168289976,50.06724627182643,55.02024475444365,57.64918648980343,60.27044949376954,60.63081675787556,59.71894579935437,61.97494702210038,59.32183081643133,63.614257661016666,62.818455863268305,56.89278298756615,59.43288845692754,63.03898349993741,59.168930928208525,56.86912608958494,59.96114915113764,60.396909165821086,56.06369968611077,54.94352215317717,51.87537416800486,53.595169375272334,56.40590869641445,55.11287209416877,56.1150582494105,57.700627517662895,54.444763152867765,52.074927367074004,53.34994661218403,52.238326376304364,47.98194303127079,48.21525833198999,48.85422120537657,46.043781914912145,44.36767036355173,48.79509086590646,47.672096216842874,43.00026768899677,45.79838899336136,49.67079835028926,49.766948837659974,52.96375359684297,52.52495449530654,56.52841440501838,54.74304213505517,49.80349135104227,53.75317930096896,55.28314147317224,52.029380909761606,51.229327805373096,57.03785452034303,55.4562798024002,50.45847415280756,53.299676303133246,57.65739970397578,54.87706522051456,51.28144746879403,46.553185518525346,49.38815381724719,44.85326702146786,45.95876747888072,40.80910391350348,41.512641089126284,37.11162688560174,36.08589894466542,38.08490729560311,40.944837153443515,40.88162071787942,43.661892586455565,40.255724687725504,43.702012984967254,39.99690434857999,38.922100921085814,37.98563307939908,38.21633899056606,35.117301001728904,33.14371137114971,32.99545765379183,31.418798177923406,29.37540269181337,28.66442709643563,28.40145113486708,26.873061568862543,27.408919976876234,28.567373143137917,29.92608562405158],[30.69338772011668,31.43443227488858,32.87567460312627,29.908116753571004,33.50889835761502,28.121097272618478,28.88170297533756,28.858801462634762,24.950972485847952,26.752295992782265,25.303244599526796,26.36452473913427,30.377775137398586,27.614056707491958,29.36218970372743,32.34486256713122,33.91651878157524,36.74953068124186,39.833783659763654,43.09634305288399,45.84043008874295,50.130062169068374,50.85236620129645,51.39296374737282,49.42633722619764,44.95312819384826,44.06504524652451,40.002075286215764,38.728213653395215,37.29469392391608,35.83547867940686,36.57403304304747,37.03609825595706,40.831423964554716,41.39755053856792,41.34810285056743,41.76709988506771,44.50553352034276,46.07723005243136,52.26630855806941,50.38086772330465,48.69367062421115,52.79639663015882,54.280686264346976,56.70141607526964,57.26967311088455,61.108315211188426,58.897994270645256,55.932460784954735,61.47561843573706,62.47915014541642,61.46295162671685,62.57662827701612,57.10914497423452,59.561740660460934,62.251164101298926,58.796145140470585,56.18441242582572,60.16589403003236,61.572365214825986,56.56853712090055,54.88495756030981,51.413279479098684,53.364834897787546,53.105427380492884,49.40358103788231,45.259662233788156,41.532918229240934,38.6768833435339,34.6604076485258,34.229525093055415,34.21088743032378,35.719775017729674,40.46939342363312,39.846349256890065,44.92485407951711,46.521021279738264,47.73713185969504,48.89828865765336,51.78733458788061,50.64340979000212,52.47265244348877,50.25766312445861,52.958020004727395,50.48585832128467,47.44577091274544,48.03410068578727,46.632735357112715,45.47173941679957,45.33116940874291,42.15748483290314,42.45222127274735,38.55837903601971,36.27146197297432,32.9501905267487,30.359062461207323,27.788396568567567,31.598316075895035,30.44269003045453,30.972367083873902,35.781838604615366,37.28036048829604,40.543518630551475,41.12998484927372,46.739222730056106,43.48926779994062,46.85135095000949,47.72199612258452,44.126320315435386,42.04338789032094,38.009243917766305,37.95897166069283,33.38924193809924,35.22557098809611,32.882251786402364,34.73977373271327,36.15202722058125,38.507147496010084,39.2988441370322,35.90493321737119,33.605030098033474,31.27247024283195,32.545310953806094,31.620998706843203,30.22633861338271,35.1004167887617,34.65813821839708,38.20743310916358,41.23700867321851,45.028922611850156,46.480615006283706,50.128577723071956,51.581525062262514,50.5573803487634,48.19214047170008,44.035935516172025,44.5784007343658,41.880487245748405,40.01652497833723,41.39545149216291,42.71107602092445,46.27907372980936,43.628887857124816,41.923174758259556,44.07317468609702,40.663391033386276,38.90064923255561,36.76324659763649,36.91272172968409,32.780389267278146,33.87458316423253,29.6412712737919,32.72785795208203,28.06952799743848,28.221926231302707,32.01929560746971,32.071481806607,35.35024247163341,36.16231270205669,39.5775155805136,41.59578234915327,42.37964623908638,43.78798597606648,47.028996518294214,49.4794449414467,49.328576035857004,52.00044350783753,54.610932109875264,52.704200853757555,48.91716034700879,48.569380746772794,45.76654220751676,47.35473861591508,47.22447588937369,46.24791581878069,45.65790651045218,42.26588540673541,46.84208662736797,48.6522911581915,50.06881635734554,51.445792564757014,47.475806269149864,52.94650768975873,55.977883995940154,53.4681710877727,55.16066419597531,52.88660793447669,58.47673149065995,57.3803693635808,59.26305640509205,60.54331883297888,56.97732552503795,57.61171202250553,55.447433956224614,55.65445871992997,55.94286773156319,51.688227407175184,51.777589872934925,49.06587558085446,46.28693466897948,49.07887093366749,46.3297240431622,42.990081897291766,44.95249497663554,46.54318236185762,41.83805207749963,40.767795856883914,43.91715685200761,43.798408744563595,38.2525197846365,39.66330175574645,41.588721629384246,37.620919463258666,35.869106926673766,39.588291681863375,40.69329814703449,44.64144897451063,46.72535016777675,46.856024143946506,49.15618873460272,54.16157877143978,56.65145459550994,59.34543979686071,59.33088028194752,58.51197851433093,60.608661633838395,57.88475536620806,62.38600384317882,61.83691400086007,56.020980265106694,58.48908332499949,62.42554100335924,58.775078945612385,56.440990545336376,59.63298916602006,60.451042820808794,56.17887215700095,55.019221251783854,51.59366056945529,52.839584357608835,55.45908414604494,53.79527748136657,54.45527961901765,55.63203716499747,52.34757812428871,50.401873059428326,51.33147520052769,49.822453806440635,45.86383889430421,46.29444616491635,46.431412078977175,43.463770814257025,42.245864365743614,46.557398730599196,45.054878688065905,40.502567641727474,43.72937953018334,47.49075204721267,47.971382372126634,51.09665910578286,50.752270581747325,54.92507445924127,53.26327491695721,48.5612376751826,52.59047793927194,54.34777700497808,51.23121227141849,50.64753275802375,56.5012130863325,55.171110611841755,50.36827437089642,53.269877627811546,57.714895997302015,55.16340985664436,51.70920124489986,47.006121804262065,50.25537513008289,45.831363770484394,46.435418324053465,41.236927772040566,41.43341821860945,36.72103753393189,36.39234668362064,38.564909156678205,41.76288531579662,41.5828788451394,43.845949657959174,40.16010160008076,43.372661926948915,39.66777898119079,37.95555552571106,36.49826184377758,36.405452943431285,32.88098765929612,31.753979403897873,31.424219928197125,29.15316134363223,27.702990278812173,27.578443570479017,26.583316365515163,24.273746652331262,24.749273596382743,25.392771605033076,26.370342725281837],[36.33450521653789,36.80441367021725,37.82792675130138,34.49523107261133,37.62191319196167,32.317187701585055,32.40773407323033,32.25711198560362,27.91879576062426,28.825719520382467,26.80912788624589,28.062828003348574,31.813748866085344,28.63846253225467,29.661660313214917,32.86746729023085,34.53731154181398,36.646164469352044,39.35123918216803,42.849763692008075,45.16503535684182,49.577531224753876,50.01350682232803,50.755836692665696,49.193021706818094,44.758869201657866,44.37914317481641,40.54468919097524,39.16360331923217,38.04721784589769,35.51291774079114,37.115273336785016,37.07359861835857,40.359535542539824,41.42306846196999,41.35159090956105,42.451582186806476,44.98472079467771,46.813621313521836,53.06887728099503,51.054876905597524,48.778597183860896,52.75120358983388,54.57306033702577,56.881601315468004,57.806457223115174,61.51094421782777,59.2554432762587,56.761819822159566,62.44257529597702,63.24256459313376,62.36143869342121,63.169793636612,57.753434459337505,60.03025497337534,62.34994738296779,58.78110990130376,56.09147011820587,59.85200997967016,61.134598405698995,55.963513773526444,53.87360895025409,50.322353583380675,51.92017237281408,52.09921582498375,48.6778315045248,44.12945637159337,40.62776415025796,37.56237616654649,33.6079682557349,33.01746510356028,32.29519610176675,33.93969619141613,38.648050666360255,38.491513422299946,43.15604872629681,45.423383980665,46.57310133951871,48.226256019965945,51.3835423534079,50.81589787054966,53.014601017550035,51.2901169828272,54.24747545130293,51.69495275087433,48.41167726202473,48.37130147669863,47.01159569243296,45.215429260941264,44.76092339898506,41.249059884347055,40.8796625343192,37.214416775078945,35.36264654241154,32.55531053488333,29.545416291997846,27.570908969751144,31.952005715992303,31.536628449488774,32.720466267640795,37.11347333523407,39.54498245290549,42.287166066982685,43.68305365036799,49.323697581017484,46.49892229980979,50.20414413461569,51.23511232107057,47.92309192624105,45.6261842724506,41.73144859755321,41.04245649673968,36.379573876206855,37.74928911493271,34.699827816099216,36.38509093999121,37.117063020862346,39.31760460586319,39.23644009969988,35.99688147211726,33.86530755549704,32.07851310882149,33.8559898725391,33.53974527898685,32.79974365779892,37.91201335674374,38.30127485428232,41.52521878291766,44.74907577905579,48.24539787999691,50.02092268098441,53.72439291985436,54.79062696992878,53.578290178677335,51.14327353224043,46.84767683037353,47.78108056515111,44.54241049516762,42.32329404636892,43.37796313881997,44.14439060343101,47.28231955755794,44.44578951025,43.170911525172194,45.179127093078336,41.772633296042486,40.37194872562581,38.52120356351091,39.19958184421598,35.34094194737021,36.97631409362378,32.693220101717024,35.904213031224664,31.49440096229097,30.79485527762865,34.43006934461304,34.22961678083221,37.93841286728342,38.089665302745885,42.11116393963049,43.83427822917234,43.905956829193165,45.46490691489268,48.479471960883075,51.31843618793217,51.23123820457192,54.29761732598997,56.87132810062322,55.364707220443236,51.41803403322483,51.20455450280568,48.11906290095696,49.57573431470182,49.30298011720443,48.1039650986557,47.64665413451914,43.845738240229124,48.44199137510022,50.204343025267434,51.96625404784847,53.38451459147635,49.98225750591213,55.50162673943667,58.47246164512858,55.81590988108029,56.916420933231265,54.21812510898591,59.84480685006355,58.639228076161764,60.956995200003206,62.53303257524813,59.10303344056863,60.184671599505336,58.312756977849276,58.804710856311665,59.43497160377494,55.2668112572241,55.64635774501059,53.26115984157966,50.42853874767853,53.59052226442097,50.81369028727171,47.41324263556882,49.69679420825284,51.46752804762826,46.75856904718567,45.76344461657017,49.13805752120178,49.072839751593975,43.58981317418063,45.160666481321776,47.23065798855923,43.23880043569507,41.56546456048486,45.423413468588905,46.36603196543655,50.46854415044165,52.295643782314436,52.35377756971524,54.78930613139118,59.70974413836314,62.35823719479061,64.88385131225769,64.72166657341923,63.69244038217533,65.61882473924658,62.654493609556994,67.09950002939775,66.77256798437345,60.8316806117952,63.04625197149076,67.05722175585129,63.50131454638286,60.947543282869425,63.90443478316585,64.94709885697817,60.75467028082508,59.12959486631132,56.04255156589108,56.94787807118974,59.71840842982961,58.32405835069286,58.763905642488744,60.09604786075431,56.52887692032558,54.747106731925186,56.04094539723721,54.32898794259468,50.32173416099143,51.13616991161715,51.3743021912874,48.39383923776402,47.36816521092086,51.830159517913295,50.362395150292095,45.90777427647881,49.287548915705834,53.06514473297563,53.49964034136653,56.45576422677012,55.85663804514943,60.07338071262249,58.68352976643792,53.84711279575725,57.662528338149805,59.62991394557304,56.57775453854389,55.68038695834069,61.60237063365419,60.47714939077789,55.512701740812375,58.15119024950119,62.77201233084119,60.35347558523004,56.78048043982807,52.06595054261686,55.345403672030116,50.93445403518296,51.85458845789232,46.58690281605615,46.720316344597975,42.01888506662354,41.65161644844665,43.58243615233321,46.66465907304937,46.228341160821046,48.53467863931617,44.590877889143655,47.57854781164056,43.598585170944645,42.5550784480839,40.928652796776014,41.186382014487684,37.35622707594136,36.25031699974958,36.52291932127286,34.12947726288015,32.091166774763394,32.599546703171846,32.02266834461019,29.482296723323795,29.490599770604458,29.804927540793525,30.771090161102197],[34.9594402539289,35.33536420930889,36.0280381785613,33.13203389237759,35.74026051032692,30.1350693736802,30.01675037453654,29.30089068253909,25.054608942888848,26.134522386396505,23.82686726730604,24.54573203385565,28.746703141709684,26.040109199401094,26.642135349100318,29.69106745477019,31.84230421134534,34.01049096480873,37.196225678326705,40.36415197510019,42.93759404056073,47.23317768166546,47.98321043376992,48.959586532092885,47.137213318402054,42.766096823352854,42.10630549512148,38.1768757783175,36.40324901884036,34.897795562812085,32.31414020340574,33.533297051440066,33.28802054632336,36.74572633070814,37.92164663317503,38.19351885213472,39.07060698708288,42.066219048382564,44.072329886737364,50.215461033178606,48.60597629107611,46.291479093615116,50.145206719081884,52.053657645939445,54.614077864831685,55.64496396907503,59.28488822163655,56.77172070707293,54.28839015777619,59.98479202279739,60.5456184158258,59.505386242524025,60.19478767057801,54.7894551801183,56.85095109051092,59.33490331507399,55.95043867743564,53.05237300248114,56.7599071470005,58.32113364226341,53.23546581068246,51.055423418671104,47.3964166208695,49.370814371842,49.577143977432065,45.979369869187394,41.7904926953235,38.03976666195687,35.42391859376367,31.231029181188944,31.054789620948032,30.594273389880865,31.6966833124506,36.47291560509665,35.78545518401091,40.33977517178137,42.4903341471083,43.34947114756288,44.97558080302104,48.19942108669842,47.42004578986753,49.757253398181746,47.80510861348839,50.96557355444511,48.64624776154942,45.205225412778994,45.297246120085475,43.57457589079325,42.09418639449836,41.3037351490575,38.02310637922519,37.730817987514364,33.95600946641963,31.83379664481278,29.101797605391635,26.036981211319016,24.211527887872144,28.152000873373193,27.693861388998226,28.560479434531793,33.197698599204706,35.63580940966074,38.555766987043775,40.05311003621629,45.866005393180906,43.23935732902591,46.91850809133547,48.22773369932493,45.07866648068425,42.50835424929732,38.857657817897,38.22199737641906,33.6482199630348,35.30019398864749,32.25827286686085,34.33293669815854,35.000579418105254,37.62840066985265,37.510956402525764,33.86618579970869,32.042570788816285,30.094735779768275,32.279959998723484,31.718190240990552,30.770376394623067,35.85361442941497,35.980518285290145,39.08437200495576,42.191066227671854,45.42537325489251,47.59458224334579,51.07164702218016,52.23590173041268,50.69153981326695,48.65250657276455,44.42232049660516,45.75351329106169,42.63491978618958,40.65992653063547,41.40155841276517,42.628443641914394,45.65271987870496,42.54527789091966,41.09717163517907,42.83789390453539,39.15441857642062,37.88245926920573,35.691762123766125,36.20818841048919,32.28729129743851,33.704522407338736,29.197235023834917,32.09711090621233,27.572033041059377,26.728871406137433,30.477553407553277,30.55463822968038,34.34073626967305,34.62991986734609,38.85306352103948,40.96995772629861,40.97673243246386,43.0156635141896,45.77069140952642,48.83749113082164,49.20934735812053,52.11454902193657,54.95469291312329,53.49498181602327,49.60374058839513,49.12362706840534,45.939045038372285,47.00049615508146,46.45205278001391,45.01701822073235,44.27946067403187,40.446016795017535,44.804892530799115,46.870012770160685,48.56998457913024,50.33473735754346,46.89264072745472,52.520839512517696,55.613722520980716,53.10025940849925,54.174264412406615,51.54401221289738,57.24054589709239,56.421686695478094,58.57767056275629,60.253965485300654,56.67085464771239,57.81580789198227,55.94830844482081,56.4205877828456,57.14777426691722,53.130032094602555,53.32054520840712,51.051225086249,47.93294107803269,51.09918898574862,48.06820712596224,44.829622431368456,47.441895486786954,48.99973478440586,44.23073864994223,43.75861925454409,47.0289755512272,46.57990589863656,41.369689657439096,43.236949554870634,45.171133222097126,41.01816047160019,39.82989678349015,43.808200133277424,44.82176101345607,48.73350121465254,50.913731027919624,50.60822776759249,52.906642603347294,57.756868211267296,60.44582848005644,62.85348057105026,62.36483653522945,61.25985741143239,62.99353414162896,59.886660598407396,64.40243902461525,64.32414045411313,58.41885480397403,60.467453351761066,64.69302653933809,61.337372471854124,58.68090380008317,61.59734713320203,62.979016940130954,58.88523995884134,57.06287139629777,53.878436318181535,54.35312214907028,57.04284641623425,55.54227279624049,55.70959822586618,56.8893019776433,53.22133246780582,51.72299867243522,52.984043253548286,51.011392280409666,47.146861124776905,48.22233061820158,48.280921074053325,45.251559226782724,44.54140296570191,49.00941486541426,47.427645191757854,43.126977663817634,46.77041253152028,50.48565655216721,51.05164123021948,53.829531927233056,53.12205097518434,57.42537234421982,56.28185471905111,51.51994582095819,55.228499688174736,57.44205016063854,54.536373071005315,53.59395678959522,59.54590462189747,58.72283220764851,53.82411873496387,56.33966653941237,61.0911417772873,58.93951703120238,55.422307643877986,50.75610291590894,54.3671800123078,50.09390731067374,50.827250072464366,45.51222485752775,45.210783331477096,40.35779524627988,40.47556262546954,42.351105187202194,45.59497324391626,44.933224827377174,46.85666229933969,42.6440878987454,45.35922714033874,41.327990251412004,40.14378571119872,38.16424037766944,38.398714023744375,34.26786003714139,33.636798649216296,34.100199617163945,31.325840213064122,29.352215810615892,30.48945876155468,29.780305304764244,26.775034702861678,26.481484692284862,26.420708800958103,27.25190969387886],[39.054649897918026,39.41831269070547,39.90494904620815,37.26887194233495,39.4507835371047,33.71959852226346,33.29148279456187,32.06681876022275,27.877908673550216,28.726451891739636,25.959271037831787,26.181273751467163,30.595709168441033,28.18447569262708,27.906091544015407,30.840665410311992,33.49198905336296,35.178769501758616,38.4760192282882,41.45558048126538,43.91544223651239,48.138089202571145,48.95206206945111,50.271082734397496,48.536774277923776,44.302240008844734,43.75165223084604,39.94647335529515,37.771310483692744,36.10182022949282,32.74488424922928,34.109529721371345,33.19738173368291,36.40147038361766,38.12718878175258,38.80047427228659,39.88695659258935,43.20874100864242,45.53183476025215,51.53506441118623,50.2439316824253,47.53347649180076,51.13780059506849,53.34444585892492,56.03607048826244,57.38141819814013,60.84969756629392,58.095143635734956,55.94527804010486,61.69184065498911,61.89942885701605,60.795387641559316,61.159954151432856,55.84517005810281,57.53473100915493,59.91703780050779,56.67932190222612,53.5217263970406,56.96451167774756,58.729936453423996,53.64886304378787,51.057717765611145,47.24506899265632,49.31072815312549,49.919755052142015,46.40930799166304,42.31736512483971,38.55968241503805,36.268978669599385,31.992852939084322,32.08347836112584,31.275077379034833,31.947276518024672,36.650792199180096,35.8305435310031,39.777837290150835,42.388920891244716,42.80674433741256,44.82131683640162,48.31346254780122,47.73387516492245,50.474107786039674,48.602662086038706,52.124958633343674,50.03469887570354,46.31553347001625,46.13235210496334,44.03867300482524,42.48047022225247,41.01612070242879,37.79819400742157,36.972127958142885,33.34967589949371,31.31524946211249,29.23606989177048,25.817891510251144,24.791444647554584,28.433847708647352,28.447133279488657,29.164054324087424,33.843413432610234,36.73568580976367,39.593097184719134,41.5898810046713,47.55453523450756,45.351797279375106,49.08146372958333,50.72474164439942,47.84376727028082,44.96624981897793,41.639634206409625,40.86316754878762,36.40590238936933,38.087340676944244,34.787854565246114,37.0440760037861,37.289074311426376,40.10952274690237,39.43229719722543,35.631889114351196,34.20339974973918,32.501939230012624,35.20068574317482,34.774039643636115,33.97590421692996,39.04763019327728,39.25333344646828,42.1245806068475,45.161739073844906,48.031925873965754,50.63557927783206,53.908892642008986,55.020810235246586,53.115620629522084,51.42271091903751,47.2315120254852,49.006726924878464,45.79735220406768,43.86346934943202,44.22947342184148,45.49887320236173,48.17836724266236,44.80050617638728,43.47974383651772,44.89927990702215,41.02715066252044,40.09177453562399,37.784220094901166,38.393776521341046,34.6038734027115,35.97160861137108,31.282468990085675,33.73492315841142,29.14120288562432,27.89836619262398,31.681437388561882,32.03769611864553,36.026913260169884,36.17359590714951,40.834031952777806,43.18299590352903,42.76432917423238,45.29551324226191,47.66490731723374,51.110313344096845,51.883109214381854,54.82729014177037,57.83291800952767,56.5938018844199,52.703653173305305,52.08870128570278,48.73367086918351,49.397821733351854,48.53519144517744,46.77067798776714,45.80925848784007,41.771811906251244,45.79533238713332,48.17052729227158,49.97085506662281,52.113125558880256,48.938074308323294,54.644746272665586,57.80484970717378,55.376601615065276,56.12125619937627,53.34338384431289,59.07659161439003,58.539873000776545,60.78252928067121,62.68397999681199,59.06402373677908,60.4624871542799,58.73464013176131,59.29877833922587,60.22119108591984,56.3734438064478,56.500677468177955,54.41921422379267,51.07451502192431,54.29112886563067,51.03927376046411,47.96848742645605,50.885373401380136,52.258994580492434,47.4631913860073,47.43688719518843,50.60443711270133,49.79939461145183,44.86809178028764,46.94457361583328,48.713399999800785,44.43334997922683,43.64314991341272,47.63734647080769,48.757603733076785,52.454205419693444,54.954651854066306,54.418986794621304,56.572859996855186,61.3706987611354,64.02663433668866,66.38726844222262,65.63167768003424,64.4873637205452,66.03320784265905,62.79199200832243,67.35814056369121,67.53208763408126,61.67620009311591,63.53843975195262,67.94939053224213,64.78571070474896,62.024596640535556,64.84973571515437,66.53722425070487,62.54496561195271,60.48820330961541,57.317531720448514,57.35778748540172,59.99052330800418,58.43705424261537,58.28673861204443,59.29123169214429,55.49654657936071,54.36257655102135,55.595754270325486,53.30052455548717,49.650404942135374,51.026735664163525,50.83865813916802,47.75797496140599,47.429110435002684,51.83117825070887,50.06360772880756,45.95431242256174,49.8548622134365,53.46054387463417,54.21884578135328,56.84472978949595,56.07716008356075,60.450651260912856,59.517414842866444,54.876033244990204,58.48610550902977,60.899857470321066,58.12281777813604,57.15956350607814,63.112589246204315,62.517505638351516,57.685561255465046,60.090909154195046,64.92965485708125,62.96315733296059,59.48723311952749,54.86483910650142,58.64614408524844,54.45396824256073,55.08671510608498,49.767733492982,49.222652052955276,44.29347979603422,44.70049871828024,46.536466722996494,49.84516834582444,49.03461401752986,50.71851266491634,46.31064984248154,48.75991173510546,44.65853741310806,43.492381494744336,41.191381044444185,41.41517029068173,36.99506638846615,36.864708529665506,37.50019386097574,34.377892654228404,32.51427820336528,34.19589862961676,33.324301088741485,29.924054543960544,29.38750596463462,28.848413416397488,29.392106345496906],[37.419822476092214,37.459185799051426,37.52336116096642,34.71760491180813,36.485399039963404,30.88457075947659,30.078939019695444,28.88740505111577,24.536482389012257,24.977036399524277,22.09788464421972,22.539765678109656,26.684303508906304,24.140521384813965,23.79602000121944,26.796840295802607,29.352837906983364,30.9796143407097,34.24406541765728,37.246387358174786,39.70418096240076,43.93829184694284,44.7517962639903,46.0559833437914,44.30477017812133,40.069935830608706,39.53966231846067,35.761377554233746,33.61844239753294,32.07590806193745,28.70263830009339,30.269667340138938,29.524764939021235,32.675306461095815,34.258592798575265,34.75310920747123,35.95653426567294,39.09802153806951,41.4015193467737,47.43541039829626,46.066117227763115,43.330513020483075,46.95976550255933,49.15666786531653,51.821838404720374,53.18048076342675,56.64659405820695,53.910565088128095,51.78733184652518,57.54877564260924,57.775648688001176,56.721192013850356,57.101395021786146,51.77541364907257,53.543191956224746,55.87333788849171,52.56747042407921,49.48197084890899,52.98103028338382,54.6555249568178,49.5512495170569,47.0527180290756,43.28681610482353,45.30849266291602,45.815032313962405,42.29390706445786,38.16741179617548,34.409286605275206,32.07480532089901,27.795946023923904,27.887236194736953,27.191582342523493,27.861893606901535,32.59631482416904,31.781161172808787,35.93392988986385,38.40954890415869,39.01293872377749,40.9280657571276,44.35247034596921,43.83076086403021,46.50120324206598,44.77106176476852,48.22309979978169,46.03328954143933,42.339300875627636,42.0702708377599,40.14128743683662,38.44803069969976,37.218287531184,33.89723627588089,33.228454856992286,29.560943154932303,27.576608460686494,25.311323948712737,21.962152128733695,20.764526148192314,24.724465582729543,24.849125038109918,26.08635349228608,30.35784550212398,33.512484710322624,36.03990669995536,38.224160205778965,44.06989448169363,41.954544932123575,45.84678041324071,47.44620056047473,44.689362009426205,41.804830584660074,38.50011705205493,37.38831741633955,32.916952145416204,34.3711004315377,30.876066217547535,33.08481059626843,33.176399902469036,36.00595600098227,35.23189994882012,31.41697411313045,30.03790705477226,28.408138556123287,31.255155756357084,30.94581695850993,30.34766755228503,35.441625606522585,36.0130791955213,38.697854961411736,41.814121642835,44.5680623694338,47.25069810728285,50.56361917571228,51.47356006603761,49.558834786434716,47.779120726056135,43.552152129751974,45.476139250323385,42.09049741272967,40.088595061741465,40.31367799740905,41.50922376207257,44.07607773665083,40.6492955204741,39.39068101479248,40.7759218330312,36.932333597395505,36.05971456545477,33.866376480836614,34.66208669605081,31.018581037931856,32.69421603860428,28.156852524815502,30.919660716811617,26.782274204903874,25.10153424865555,28.599931778741635,28.60014825261615,32.68439311462964,32.509498117883695,37.261181060807665,39.38166320796657,38.79370718656938,41.285475794246395,43.6275462152684,47.12118214327141,47.90458763900467,50.93781521344887,53.93598258150202,52.829332764798416,48.91029975129782,48.32029456560632,44.8869065265275,45.522488348674365,44.66487024458639,42.90780313033459,42.09073578389524,37.976621853224344,42.13856263263961,44.33410903542011,46.23753794901505,48.24964256587581,45.259973849206794,50.9336031137254,54.03457230658659,51.53879336241031,52.13635042595577,49.271688262412496,54.99554259725889,54.41194606460661,56.734197476517124,58.69342070622334,55.122864670087914,56.64391030805542,55.021695529274275,55.69644018961808,56.759512141362876,52.965280224190764,53.24598757557739,51.35948085730256,48.03091575986838,51.48060357699949,48.29871089945199,45.157204298899536,48.23876515505194,49.80113965909778,45.05915654408814,45.00955857063261,48.37369646324733,47.74909794615479,42.84352724655363,45.03258407411618,47.01090375903057,42.80441687641815,42.012547224505845,46.169224773601016,47.03878758966356,50.949793142554476,53.07958062280274,52.43533578884828,54.759679466532845,59.42837044446545,62.30595823610496,64.42525499895969,63.575019129487046,62.21157086072844,63.643118925683275,60.24147883079298,64.71021883586428,65.0012200075476,59.04884597724162,60.737457849898014,65.14315296322853,62.038646382500886,59.13640334354814,61.79656305517311,63.61163035298978,59.692796147565744,57.34344858688617,54.403878014819966,54.27542179558063,57.01451152589446,55.70250769155864,55.505072346740185,56.74195362676492,52.79265771494607,51.61440584712177,53.19420103270503,50.92537632759126,47.12710820016867,48.697478044301015,48.78610795812783,45.774207072765236,45.41115065090349,49.9894040209542,48.44515556723972,44.38408850645198,48.256076749400684,51.922205488572644,52.47469679392931,54.935823149384134,53.899733463004615,58.25151967097353,57.54924077303134,52.73570473018279,56.12403894302755,58.68415274576158,55.967258439352634,54.69988042658044,60.68255838569905,60.28121913567201,55.32069583961149,57.48159909822669,62.45235126157513,60.64675346832644,57.09372145872898,52.50024662885282,56.37601827841691,52.26803680749533,53.12641192717185,47.762626253932964,47.06870960121157,42.18580874997109,42.631075200944984,44.22136662365389,47.45129220107681,46.40154083863224,48.035273689441844,43.464610909503975,45.74605034261674,41.51718026713665,40.82368881145366,38.50612985828116,39.04871395760134,34.570206844672796,34.243219077495226,35.365720572083134,32.351320168981275,29.9228624626615,31.97670203405315,31.61337754158497,28.2655020963513,27.367727925919407,26.85162937731082,27.646893390300615],[37.02028141679656,36.77419168699487,36.56052022986238,33.34193433395335,34.91800825007862,29.621618690055534,28.49729937576777,27.660165068304206,23.073105353487044,22.904785848095926,20.059245291140886,21.12255216046122,24.630534921154098,21.60481831477376,21.42074073960144,24.610636430928984,26.751880637458616,28.225034108181525,31.137776906287016,34.38655035431219,36.66211751950682,40.991626411611335,41.60563774539491,42.78263794523362,41.18589315069081,36.90905787240936,36.59854313900003,32.91473966265384,31.03273323010924,29.892397423043825,26.474135932033256,28.559130194502792,28.10405093471421,31.030183115831782,32.41191361969042,32.496384395207464,34.00349594904253,36.65329716367298,38.850775230060435,44.9843821301706,43.29808618763247,40.50917828801519,44.22422594156081,46.386915042893634,48.8785009403871,50.22260875165009,53.71304859936615,51.13033718224702,49.06518126919536,54.844487261020475,55.20471213811163,54.29503130480239,54.736687807284824,49.40034525041438,51.35449271758683,53.51249502293421,50.0285341674057,47.130043444075916,50.698863061079365,52.11361157059865,46.927891396755854,44.54756155482758,40.89257601517895,42.619205983615494,43.03689719004213,39.62836486881991,35.219989504577434,31.623951949283367,28.94465397708591,24.802626567345154,24.617983213369516,23.825696531681366,24.85517683962657,29.591169964406234,29.14672410638219,33.558206972413096,36.003859378083064,36.97403008008775,38.82956831192436,42.15386512931015,41.857787712657824,44.394468815953594,42.979702671811474,46.25357185591953,43.82612789214918,40.23716667147612,39.75688657650584,38.223387758818674,36.159292836809,35.36619733992876,31.78245221915033,31.191444402575346,27.580314065995935,25.874927785952075,23.40350586172595,20.183209805225477,18.720701157258798,23.344898176461154,23.65189615456704,25.663040321251074,29.28306942946469,32.72712681691894,34.762277128317955,37.11442182054962,42.721267087497054,40.61447220095894,44.69907610724658,46.1095752918785,43.41266213620972,40.66128549433949,37.25960518668858,35.736505916056096,31.19989929500128,32.219667885236404,28.457567080205525,30.379998328624616,30.288042811956203,32.87980074355576,31.946437509101937,28.34925643515344,26.849209610097468,25.431619548282278,28.263378635853172,28.26868544835271,28.05353589460388,33.21013679998692,34.36502539655781,36.898721929965916,40.17136255458339,42.92679360743725,45.49838949531873,48.97217753683721,49.59840856844542,47.8395765676433,45.75518514058447,41.44678214528008,43.340325099817285,39.666808443360004,37.433144995593864,37.65279060519101,38.48037492402974,40.959255426145674,37.605296209626104,36.54034278353409,38.031118244678225,34.37400363005459,33.51923251515612,31.668675352454464,32.79215191381058,29.36546218548384,31.51963656729241,27.295088989684125,30.548228343570454,26.98171805109784,24.944480978626608,28.035025119287337,27.47768187475275,31.609134141188406,30.977701805776025,35.72359815968164,37.35575136052277,36.57831042551896,38.76480052793984,41.20782213187184,44.65498410618658,45.2067897387246,48.45036571709934,51.30040536680111,50.33559184179789,46.34273159012503,45.927360182112956,42.442064912084774,43.253468393448735,42.54356564861166,40.914255726028124,40.41810875942731,36.228826456197275,40.660646841291005,42.48661049015813,44.549792773677794,46.23312438427102,43.499358439476204,49.07524891112029,52.0430949159084,49.392397737741256,49.81047678249268,46.788080187667106,52.46728102125632,51.619977987705106,54.14577627659638,56.13344724779036,52.70223421522193,54.34805441668014,52.85171039540475,53.670071231913646,54.850053581026586,51.040961999446075,51.594145661520514,49.86668448046191,46.700079341248255,50.40060323319278,47.42112152432197,44.124970402659734,47.21746546392822,49.083706119678695,44.43056950418675,44.09655317907668,47.716913875137145,47.46413296612419,42.45592235251747,44.613872999861094,46.86716680705776,42.81407774098797,41.788068003202774,46.04688594557025,46.6314961022775,50.847351903599765,52.4337833164336,51.8548960151953,54.41701152084103,58.98829334653721,62.06366983225204,63.9994738651479,63.207988567995926,61.657519445877895,63.063097337836474,59.565585291663155,63.89628784098398,64.19034620082189,58.122442335275345,59.70737675252243,64.0015017801455,60.863799564624564,57.86008498495941,60.360150667452025,62.14791167202891,58.25868535531757,55.685760961210285,53.049066149674786,52.950903327285836,55.84492387249876,54.84368326443205,54.72731311235451,56.277701912763504,52.22033642817723,50.861618089951214,52.81654163494501,50.701698890601065,46.688932539457994,48.33072314529303,48.78493783918746,45.86993972502047,45.32220965197288,50.06651111658669,48.796606518101015,44.71572200088011,48.43107901827455,52.181689958885435,52.47025962797426,54.84958961086688,53.596151408891636,57.88086316503555,57.29568079157894,52.27576773007296,55.48608644722016,58.07708303839529,55.35247081009632,53.79180521375594,59.79008894710581,59.44268292915884,54.31647871522656,56.279516643053206,61.32587763704576,59.55873266121865,55.8962694240639,51.30819858996664,55.11956437566317,51.03104567512176,52.221214796062256,46.83191480333978,46.1971454550337,41.43704702175841,41.68158806604124,43.03978833470932,46.105962442672485,44.90857150938362,46.684848603719225,42.0696394803862,44.3072912277456,39.959536185233866,39.858375219082276,37.707022575000344,38.59548791111233,34.21914732694653,33.440860294387015,34.97654951709253,32.26992932957771,29.226049556062218,31.343926586535204,31.5701808011422,28.513870643047802,27.416272663606208,27.121960033767806,28.23316730240658],[33.33721099928325,32.83435306187071,32.29610033805866,29.056034780010435,30.334077577721725,25.130673949852195,23.830436702636256,23.099012899494724,18.442472061262173,18.1949149086758,15.478237908344758,16.849346715215184,20.194400927769053,17.106319990350976,17.43013673933241,20.649582390355796,22.58014949900456,24.510896671982128,27.63501996386195,30.818744307052757,33.37289861928197,37.671042174809436,38.44474987819376,39.46272194885155,37.60194055441631,33.25863417222142,32.663169581117046,28.82197169311619,27.059001703165986,25.884510743793694,23.174413463476114,24.95866351953362,25.081459715084044,28.287386733005366,29.150350393319684,29.0034966643471,30.22736271100597,32.78413723804607,34.803631441511705,40.991228787593876,39.2575562076547,36.78515734598203,40.6435502336487,42.59564853263661,45.1252134077445,46.27465598221596,49.865452722191144,47.32937067477903,45.00078636144913,50.74971297699173,51.26154239399243,50.32781702370972,50.972967045304095,45.57014686363014,47.73349878386232,50.05588916882809,46.54599370953687,43.77435986050332,47.552013545605206,48.93125954671628,43.80631751217661,41.78484733523005,38.239458446490346,40.115115672561394,40.136756307101784,36.540705579049074,32.314547426182614,28.57286200549586,25.917652202688824,21.72282411228894,21.596934814569938,21.460317190821872,22.47229372924067,27.2606343459158,26.550432868131825,31.497456325262178,33.33269516471998,34.58006544236153,35.9994596498523,39.074950289404896,38.490251384323905,40.72244862135555,39.169735530698944,42.22161886886289,39.70163993770167,36.26976532944056,36.07222821731667,34.71770926594151,32.87891069396539,32.591297237918745,29.101854383481722,29.156821966264168,25.364936320413655,23.43852366793628,20.32866321320288,17.549785419706787,15.284064000982456,20.03056662085241,19.95295596058481,22.238343677759154,25.6264716175791,28.83033960747196,30.795725394166407,32.90402983689683,38.39240674378648,36.128504006539714,40.239828776215646,41.52295776790874,38.804083934310285,36.139652074345676,32.667751524099266,31.064821230906343,26.50040312314196,27.498140367091047,23.821663028570047,25.808538717601106,25.945085211818338,28.663462746981452,28.162492686603713,24.42014491743832,22.804879099933835,21.086436940584232,23.8413890665094,23.64749328054646,23.32689066595247,28.47451787572085,29.666915096581597,32.16627632916562,35.46347371331108,38.263993837590554,40.77043563190921,44.28189774440243,44.88800269421815,43.21160999683043,41.04511967997513,36.73114723053959,38.60074480495061,34.9689967040564,32.813565261747414,33.059001877335106,34.10588724446104,36.73968758349819,33.413707321178016,32.156593477498284,33.72841291346405,30.0709932176477,29.046155701604555,27.152195288813964,28.219383180728023,24.76622745133678,27.0446986220478,23.00286543089101,26.603446387762272,23.450124346903674,21.354364784416898,24.19504472058362,23.319472518240147,27.356717309323834,26.706617019070777,31.252706125823842,32.78336193894307,32.218793963770985,34.2702849800733,36.856053421858114,40.1570134853586,40.67280194887954,43.83248163062324,46.70971106428287,45.66948883517501,41.69669588002876,41.23910917997106,37.786431594562146,38.658999715854506,38.03853808394665,36.54078942927134,36.14163641875027,32.069994655994556,36.698842386929506,38.34823507619366,40.34182660509953,41.85518216666741,38.98942778777734,44.53995876312645,47.49225210233746,44.82600636094146,45.41703527948111,42.517331100117,48.20268129012129,47.34446414042581,49.73499717698683,51.62937840997931,48.15876414887205,49.703093267259305,48.15584613418454,48.94911282199086,50.110717277731396,46.29978673689687,46.87753254859017,45.195489763273905,42.05957773518495,45.847032242142106,42.94820752338156,39.59691792761942,42.72964504686,44.71371618595183,40.12066660724746,39.73943424119196,43.46477594892425,43.37036188172024,38.387693816237466,40.59894482991897,42.99543934798284,39.04902758064956,38.01738729518048,42.36254710905288,42.751425682565596,47.09151363154649,48.409872839603004,47.740850991823564,50.40667053254928,54.86993567904408,58.08778522329534,59.85274202509166,59.02762900301631,57.35335832734366,58.72034669877129,55.17090534235874,59.43357960004766,59.74207729558757,53.63138088665542,55.15802442924566,59.41824104811634,56.294429551787225,53.242299096108155,55.688672309173754,57.50629365130635,53.64995435670036,50.98409744890705,48.42284227330624,48.308024652695146,51.249006757730385,50.36858525018924,50.30792002801768,52.02511716208131,47.93922674750392,46.45231109596706,48.59789613245846,46.603993680455176,42.45711390062948,44.12801387806225,44.821181416972095,41.98876406513838,41.32728709865488,46.17347733920968,45.117363963928526,41.067102968131906,44.67805451110209,48.46304920304778,48.56664716647437,50.84142252581197,49.4291046352536,53.668486071162604,53.200062755608464,48.0758616203326,51.14750623772846,53.795357073500846,51.11072743655546,49.37588928047121,55.37250570684866,55.13516124872575,49.95675501699536,51.78045803990232,56.88421742055499,55.22841190174319,51.544173447471074,46.99771942009922,50.896262323936426,46.90305108965434,48.18716176206128,42.79953978631226,42.01988042895705,37.319184381081946,37.63925889621253,38.82096133119339,41.84923991017155,40.496399328490476,42.19132484042506,37.501311717390244,39.6607120273835,35.278987657767026,35.39992962883336,33.30010185222088,34.38778222886087,30.084802237189912,29.074523202516566,30.915585167501995,28.388289109673597,24.941799437795968,27.251730966076686,27.897004117697215,25.011712267622514,23.681355017392434,23.545863117675616,24.939515466803424],[35.923181650751786,35.22848522816743,34.26216610601647,31.20769410731503,31.79749153230224,26.718670492933768,24.8920203375422,23.732040340212443,19.182241276305927,18.31248315190157,15.086812833422583,16.10984018363038,19.268779164340305,16.443378538762282,15.647921513919247,18.794323502339548,21.142106901460576,22.47792933167906,25.686278558900117,28.69243982484734,31.13906307538599,35.377678026040826,36.2198186291216,37.55176043712071,35.7542674955098,31.554530002508596,31.08172223929158,27.410323434665205,25.276649024469023,24.074147065017396,20.533930856477955,22.71621499640223,22.354864036609964,25.24754354076634,26.49778652674128,26.55533981425152,28.112692375989344,30.801484276865935,33.10593057160792,39.173592098173415,37.67484650390078,34.80712871691026,38.4493371779324,40.67218403637492,43.30015462636992,44.75129857181053,48.17450714192033,45.434692981860145,43.439950538322115,49.23497763548201,49.440862718491644,48.49457380529719,48.85933300461329,43.5327601113656,45.4261700793771,47.61170419525438,44.171695293721385,41.22434174003279,44.81855038346921,46.303300957990864,41.15357480286273,38.83672050574083,35.18075116202521,37.111820630321226,37.40743651585271,33.870867390840814,29.699569832924528,25.929649328062755,23.56363847933609,19.256861609142874,19.441690946295036,19.082512563567718,19.60550386408886,24.38823456973992,23.525887824077696,28.139881146740723,30.2775637107328,31.303480656397426,32.99168276639096,36.26074772270409,35.91759547970449,38.45964992741309,37.11706590607973,40.43174726479059,38.04078515025142,34.38001534745435,33.8362832195382,32.29027926622158,30.23617711307658,29.543726335847573,25.9857066424418,25.69884227117791,21.973930773047464,20.18383406562373,17.506217797463396,14.413523777309567,12.815309667086938,17.664326440047297,18.23464136473765,20.924749187234898,23.85072389453626,27.722170632862113,29.280828422557555,32.017486587836956,37.48652777916031,35.70636025607762,39.958176233470454,41.4888671492978,39.137311688559755,36.227750130083805,33.11785751546677,31.134675825970042,26.761016370865722,27.564477969860825,23.530357919632074,25.615857760807817,25.169824718614876,28.05979799099098,26.90807885638147,23.013301968934645,21.899220435374136,20.553231580434918,23.92793984650734,23.980680839885007,23.994746168123168,29.008483125793095,30.542968779957633,32.62782154643941,35.871569744059975,38.21091201286616,41.14341936138169,44.46921470448151,44.86284392745073,42.86969788736403,40.963224384516714,36.7022462150075,39.07598355593611,35.270731672503096,33.134125920252885,32.89684052469791,33.91276633266867,36.09171197010331,32.48666317456078,31.420024185672936,32.63033580932229,28.840846854482777,28.22341076324018,26.347449481150328,27.67013255851168,24.551665232239248,27.01392325445207,23.04167568740629,26.41295878067077,23.68347194501916,20.895798679195725,23.40770855204927,22.460386945131557,26.710146921773323,25.615540734324743,30.610818940875056,32.13514488733252,31.006923246512017,33.481957066081044,35.65341029215783,39.33329496899617,40.23020781910681,43.473352978317344,46.47567174758555,45.74761449752922,41.789031196418776,41.23149505835379,37.59262745266977,38.0612137060025,37.15646757079415,35.366598926573,34.89322519378862,30.581740803521658,35.00071536450325,36.76283583255837,38.9355102966926,40.672457262087995,38.23504654435154,43.789486334292675,46.735297299613215,44.10499067915426,44.26713944918939,41.167945846557295,46.86034272252645,46.22426348784002,48.74940591375404,50.88634131730406,47.43926068364502,49.30262712417897,47.97476733237536,48.931385550133676,50.366135016582646,46.77741519317215,47.41159676310864,46.05552549076836,42.76974600873774,46.73332091708646,43.72870241221465,40.50954547173253,43.982302765770335,45.923119166314144,41.40080544748762,41.38261324935188,45.10864258277259,44.84574507218757,40.17178535857413,42.59692086130442,44.96672493768659,41.01381112089271,40.31199710720546,44.71670422039001,45.03093435427161,49.290674994609475,50.61563049837308,49.69637699487317,52.33336853049742,56.63400335148502,59.95187275035512,61.50547605843502,60.40576103789311,58.5582464364389,59.681718761736576,55.92924560927835,60.135158082810385,60.73508309948015,54.63791334987149,55.87185138747399,60.25522246289412,57.35514422729009,54.13559377364122,56.366800902981495,58.52290861149049,54.833758460209154,51.777207597474586,49.41943555480108,48.80864017258593,51.75667875102552,51.01870197922194,50.655090166601866,52.38682148970627,48.10921047263297,46.909205719145696,49.270622693183796,47.046071806630245,43.00887490145646,45.056684412769116,45.73845008076997,42.94332431856626,42.577321882553036,47.43970087652069,46.397844788264585,42.57673900515527,46.33364525335372,50.0362189919643,50.154732217202884,52.176213636123684,50.539951331125565,54.78702578817578,54.653831403764876,49.55289486658502,52.36233637135663,55.25529123965531,52.73858231751357,50.79294768046481,56.761959238467476,56.846488317172394,51.678865655766934,53.22680803741413,58.453749433136444,57.072485922408404,53.4006605413022,48.953817727730765,53.01697500745379,49.18477333950632,50.51708301046785,45.15724442639656,44.09164405671173,39.423660061038156,40.00202081449451,40.97621560875081,43.965970748050694,42.347256143512446,43.77892549609581,38.87454329642009,40.64894686557857,36.17506489672936,36.66127534540812,34.306770780208616,35.598980481676065,31.092703695260187,30.391501107276593,32.67476465104731,29.98832581185561,26.33670635408297,29.298202696709367,30.109162580650192,27.014812561806902,25.298549394492394,24.784799223404733,26.083940520093257],[32.61479396003493,31.682453829597925,30.396784441904487,27.389723135211696,27.636220099738757,22.682555209275176,20.65369619809089,19.565687784789265,14.978552429173098,13.9836945002555,10.834817562485993,12.223254956060877,15.224893168815267,12.371185450268968,12.202314279410029,15.386230251723958,17.52695858267337,19.487912301139723,23.001876171232148,25.891308143641563,28.687710827208683,32.86783478919304,33.90762554368085,35.05202160967582,32.938581154136244,28.670529811245576,27.830097403094236,23.94972613893298,21.93046959623885,20.631738398127016,18.03583408099744,19.750435423921708,20.117385048684927,23.373090429659946,23.98096339793519,23.78901356715478,24.952515047970508,27.581156300472685,29.679604784132305,35.81311333854266,34.283081818356735,31.803171999313005,35.60978120337073,37.58075451893875,40.26506943784723,41.483240110804346,45.024306739139384,42.33169249655131,40.017652360666176,45.77850307441593,46.157748265528504,45.16870358469346,45.770231035271344,40.36250045154316,42.487842241256864,44.880101012009895,41.42696685730005,38.61616693596264,42.44412320194588,43.90658046502339,38.843831316527314,36.94197976312563,33.42242020255058,35.53455985951022,35.376665196657896,31.624038297040787,27.71340752817717,23.779737397073834,21.497652937238175,17.16159574680158,17.45652984243439,17.949715713459646,18.408322899631298,23.16277913328757,21.954671933692023,27.13479305011527,28.529505092724584,29.844765691082184,31.008254255420038,33.97791928579231,33.26665625961442,35.45314485853877,33.91087345081039,36.980696863581834,34.49675092281301,31.00867755712453,30.833899042966515,29.46728938273041,27.733197381059473,27.61990852329641,24.233213818508275,24.730254059623228,20.840072418112666,18.77075425018185,15.302620943451908,12.882851419793825,10.1473289063328,15.06646384446298,15.091313026109528,18.07641243012111,20.746212870907428,24.285005902697606,25.808755623907807,28.232759108621885,33.59528494831901,31.618041298809263,35.88582904268618,37.28701231944807,34.89761331272308,32.07610135249963,28.893402715389715,26.84929176262816,22.445412968351913,23.262755372776326,19.337697138165076,21.55540713129148,21.404012994490888,24.487828396068547,23.886261827784093,19.7896922157878,18.561198027240216,16.805056331684707,20.112351405486606,19.882317058688827,19.736403099054765,24.717251542467856,26.24435071081811,28.29246894331899,31.550252522710597,33.94660804812316,36.81269325156631,40.171833831177295,40.57536618667288,38.66600721970121,36.68705706697631,32.42000434008272,34.768829739580916,31.04123571256963,29.022976882906363,28.812906290495565,30.1304759022552,32.50275361271223,28.92895809099189,27.60765360472356,28.9079195222624,25.08633926711557,24.25517877163051,22.276342446133405,23.50421711725769,20.32616707019885,22.91300343603768,19.14830544472537,22.88885917508304,20.64994329048892,17.834990283646363,20.03258044131266,18.722712951345247,22.862062790368306,21.77607954658011,26.548086727633432,28.003328845593618,27.152086077987956,29.503091015991735,31.843752214467244,35.35876038879111,36.231784199162725,39.357587147342294,42.40392877344286,41.568630169441114,37.638454104612954,37.01708837263765,33.41852944518877,33.94637697530681,33.13319496090551,31.486024611938838,31.09580981370677,26.92430802192826,31.56951651146048,33.159651616699506,35.234861443412235,36.803591160204626,34.16978130590791,39.717813409215175,42.664378373758986,40.02540422185393,40.41696686272837,37.4761985907536,43.18683349852037,42.556281707589775,44.90611341730373,46.92689447299632,43.418099418099736,45.147186046729715,43.74027676359945,44.65140274391016,46.04723674537373,42.44994410500739,43.08356425301312,41.75392687448415,38.4926803653075,42.5219600037066,39.593968428226184,36.329313712720904,39.83288860312349,41.8717103414544,37.41796086339767,37.36611488621486,41.167884815847096,41.049259591054245,36.42569118420394,38.89111386883347,41.37627168316278,37.54805157469824,36.856960548808125,41.306931725910644,41.44152643056723,45.784331190931994,46.87145770778671,45.866992990357936,48.58368230951832,52.774450024872486,56.20571824381063,57.61001411278762,56.487789039756194,54.53863615070249,55.63547778964613,51.85014320130866,55.996246680055485,56.59475581755441,50.467496206067445,51.66004471387544,56.0088085280285,53.11868316159526,49.86574141906301,52.06081766167364,54.23590114031841,50.57423022281606,47.45699820481897,45.14751488894977,44.53261165867465,47.51773079470511,46.87760690864802,46.58015901028385,48.46497553941175,44.17601992714794,42.84149262052246,45.367329333535096,43.27282724010128,39.110238987671664,41.1675275993288,42.07499605425085,39.369583102015696,38.88787180717731,43.825001932787764,42.98988296234472,39.21278839480893,42.84673065496583,46.56544421710171,46.511409824435276,48.43528107427413,46.66393630595966,50.8598148692643,50.82293001347906,45.642341784183536,48.323826268304074,51.257403710309966,48.78213884008923,46.6908545314885,52.64594186253677,52.826077305135954,47.63033196837802,49.055617827026495,54.322316345995446,53.042992053165925,49.36739823324529,44.97431192900168,49.11242384523908,45.38749328469716,46.781084565079546,41.45151556241093,40.24235243338276,35.65391106671813,36.32186122654652,37.126774275373414,40.07459615684303,38.31739452110837,39.646923957597835,34.68175014153904,36.372858319498796,31.87816692243722,32.559636587275534,30.258856424077162,31.73987451940842,27.33480026044778,26.416288631935387,28.99661294807967,26.511696378129304,22.48720954944601,25.650347769584126,26.863542578398047,23.985627538656193,22.049472059089517,21.700757407507577,23.275845261061875],[33.636860840442296,32.79624774974551,31.98930312426429,28.122350996588793,29.261940131974278,24.706177077787117,23.069316873025684,23.09244994663301,18.282934643805714,17.06436725072563,14.74571793449724,17.251380282647098,19.252900659473674,15.292587067011482,16.227006072763906,19.654484363732557,20.622383660582752,22.354253688292122,24.733079097177203,28.372893922509604,30.589876279284343,35.029607517170106,35.430039691727536,36.14873414031656,34.561937315530166,30.138151425001414,29.923286022399132,26.260869621514043,25.099647342288304,24.68771630460662,22.160293538035976,24.686751244735376,25.343590430707152,28.12340417972011,28.586261378665597,27.724468895250332,29.369132713098537,31.016116004331156,32.762031189890855,39.075997660205516,36.76687323858544,34.30889628932062,38.324554088264726,40.15256686400887,42.349165447445046,43.402854915571396,47.05638555221503,44.83394524330804,42.547405381240125,48.28564025461126,49.075776775478516,48.383113525326976,49.171516763316504,43.78230370448189,46.27369832732615,48.323573937994155,44.54083570405058,42.126803240792725,46.00733267779998,46.94043171492077,41.72704076108191,39.96201950654342,36.65520209097742,38.007055087902465,37.84133958645796,34.46790683640944,29.79529975178768,26.410911158943073,23.100133030412138,19.291603928954647,18.53565783274797,18.304353958774417,20.10841666075568,24.77326646602606,24.782132968523932,30.099803677392103,31.810391875366765,33.65949164629329,34.927409801074724,37.767942567048024,37.51765165278694,39.45597576946383,38.390456172671044,41.07053308044798,38.17317757309569,35.0053671395935,34.52517231602579,33.87466190582022,31.49746848206544,31.98544629919758,28.168811642536205,28.38793193569821,24.809828567143423,23.39867785125713,20.04346382715439,17.72463703354076,15.050235719107423,20.56220450145108,20.67523594132666,23.899275899847236,26.25186569197782,29.652707284632697,30.89191407604585,33.08173964541277,38.09573280518639,35.782821873735365,40.08011304925317,41.000372428633305,38.32862652354558,35.979701200028344,32.34878337004691,30.214334190998674,25.619839513559064,25.87106748118336,21.886687816473405,23.246760357288217,23.18095865900875,25.359620170068712,24.72795281926437,21.496137368121254,19.51453461356444,18.1579668305439,20.654559884042232,21.033539205660855,21.381822354383832,26.55296053260737,28.64710588298689,30.943652475187214,34.44815435386057,37.318895878135834,39.502941920791514,43.27307972391729,43.47682607441236,42.14345365400244,39.44812767345332,35.03970374545031,36.700636866266166,32.66109965389724,30.10680384711567,30.47279065216278,30.839087943769584,33.41915149400216,30.317381267850216,29.38073790666846,31.21940484700568,27.977972459558675,26.9037258958948,25.668061573814327,27.223054965590332,24.176039417945542,27.11653753768642,23.729222300861764,27.92909252536272,25.610507256992463,23.29486121765716,25.468447463542542,23.810712703966782,27.706975312844367,26.44460276180562,30.752018410919835,31.4404666709131,30.69115809110868,32.08066869170778,34.9084763329782,38.009424215813915,38.02861567699641,41.50598598133244,44.08241714441396,43.206884924881905,39.131849587298134,39.004231635707136,35.54290344515307,36.80691691530668,36.507889658245176,35.30700831046515,35.44884854235082,31.385842356207327,36.38609128582057,37.40714902967614,39.58887859750716,40.5157527469222,38.00554192749966,43.330261743913454,46.04369170887357,43.144156939033536,43.53296077075687,40.439014185591354,46.00818819128797,44.66433143732735,47.35203164963806,49.22844251062409,46.00221056573358,47.664944219682184,46.27940310799261,47.25741126350131,48.52559447457164,44.6634898724177,45.653317169293615,44.15144977013011,41.34956309269972,45.418493128151354,42.89081155287603,39.330950201064816,42.33354535673246,44.74763950433288,40.342798503570066,39.443671084616035,43.48200861689887,43.966265788122065,38.84504627786116,40.90040111330834,43.645056953516836,39.98734891747861,38.549862581920486,42.92758168655936,42.937569770438586,47.657107866063456,48.191339201432974,47.70732378225912,50.68233824418439,55.00742063432745,58.4343346762042,59.99546542276923,59.339491633022284,57.46985722406488,58.85320968857138,55.255476417846126,59.296911843736396,59.531145244134095,53.30609867667293,54.74489627433844,58.77313930961298,55.56431380127369,52.43465546876228,54.67572657746241,56.34450412434587,52.517881545664125,49.640218644458905,47.516904173044004,47.582180046218106,50.72165425177869,50.27085717363894,50.40249818675573,52.53745696936407,48.39650954027428,46.60552418723615,49.19705286123075,47.49834497374159,43.09702064966808,44.74513449892023,45.92882758694371,43.26550676099425,42.2919937685823,47.27289525952131,46.58852469900343,42.522832895225,45.822211739767795,49.68273104342492,49.43165849683907,51.63726766144281,50.00796545133399,54.1009185044318,53.70652871274318,48.35372397444563,51.20784035334713,53.80024557596399,51.08589011717528,49.00935752254251,54.97116871228023,54.71901087373499,49.34966405891266,50.940833885753456,56.072178068713725,54.40296376383766,50.587225012929146,46.06886357694247,49.768700775326884,45.79561067285821,47.54803819798053,42.19146629191209,41.61094383442615,37.17369972127175,37.09619975531668,37.966378135681154,40.69997965016075,39.221949844045575,41.19717844041764,36.58123633308005,38.74370298694672,34.27450324970243,35.225525815583936,33.49732900118462,35.008828753544876,31.035504185475236,29.310526100245106,31.572513833776036,29.61574061117888,25.48467708014079,27.596171571606313,29.010558569139864,26.710950639596053,25.296628757664923,25.55838726460614,27.308006967371945],[32.230837229279516,31.104823280287707,30.045915040872355,25.828476987012092,26.799815354073417,22.78116994706803,20.959470843898316,21.59496886634626,16.841591849372232,15.080352519825613,13.379195742042462,16.677667602096736,17.65519417076478,13.202619855909298,15.063143419477287,18.457725662138976,18.563844767230748,20.513740469693065,22.479879347154903,26.31927964811754,28.4861971631116,32.939461779443,33.2030792478237,33.59219748648488,32.01267973840594,27.52120577904936,27.344479730870596,23.717891781801022,23.10051740923547,23.14744720344426,21.361534771093147,23.979335326970897,25.277625797422356,27.946680342026493,27.856347626341307,26.46179147621237,28.09271873661434,29.113503716668706,30.521349527033212,36.892130204731615,34.20390258786222,32.03278622360278,36.216185567300805,37.790969592890946,39.787531390363235,40.61663856574847,44.37137925006925,42.398451710884466,39.944761500908854,45.62059963605378,46.69598689248768,46.12750784899769,47.146168678522855,41.75380404346899,44.559940955627575,46.55855248947633,42.63384330838843,40.531832727857086,44.57298748528612,45.22652222912132,40.04770711281339,38.68247143360349,35.6225166753286,36.749950760538766,36.22230670562661,32.901492962314954,28.150298936525996,24.96497526396418,21.319240770449323,17.879377215989642,16.736174237079158,16.940229822149117,19.204219485644845,23.65196981317007,23.932555903317983,29.64980004864007,30.882044882079654,33.19206292614068,34.087959292899235,36.59832508929537,36.33629435126887,37.87776126192253,36.981485464451374,39.26628094305222,36.115423077223696,33.26046240259421,32.84410242722432,32.71981728001277,30.249625551500593,31.47751515353271,27.63860185394646,28.32798134527666,24.86151153110279,23.626228278133283,19.895559445211674,18.2291771970393,15.015519313124106,20.626609683233948,20.542235882964114,24.194003609503984,25.877899515450185,29.067184140160062,29.91246873197889,31.87621011671849,36.49191992709158,34.020270639728814,38.36104657290858,38.96063315104786,36.271639252954074,34.21778467495134,30.453435693345384,28.055690293671073,23.484828109537293,23.271866633022093,19.28475056559202,20.205388697613177,20.26942203876656,22.10340934246428,21.809629441051023,18.917175371588783,16.53452534966288,15.179782364945924,17.242248002631786,17.85087645328815,18.54095157128098,23.65569868799905,26.259623823785315,28.44508003151554,32.053392097034596,35.03575187472296,36.90461788375662,40.846500995823114,40.84268368764443,39.81294644171362,36.743674477053496,32.30265213160559,33.723419549921914,29.516354909738038,26.769450724287314,27.314170130108355,27.382943440000428,30.098382570702515,27.229022971749814,26.348985048033327,28.45447673588378,25.538117297825526,24.2698683514348,23.446514819303513,25.194179896607046,22.401552533966367,25.700788839576976,22.887546710794627,27.4956552074356,25.83040591064459,23.558017737164334,25.22487814275819,23.04280108476256,26.654225536354414,25.13625703274852,29.02366147858012,29.145319784329555,28.517357058655893,29.33206398110834,32.43488564808921,35.23898255603032,34.87326692757323,38.45891870849417,40.84045426004513,39.96762641629564,35.857610550464415,35.92296535993074,32.52997042009627,34.12664099482681,34.12010450993408,33.228830183171695,33.74308320994966,29.852989720208207,35.11935806271832,35.66744365455318,37.86197769635157,38.321678546096486,35.89373913891099,41.02766305683584,43.58131773716714,40.5534433434316,40.99345021135249,37.91273140818532,43.382945320607824,41.72451258606088,44.470773619469384,46.23648965335837,43.136636103790885,44.749011321423886,43.39729944582459,44.435175055183755,45.70252167824559,41.791880022267215,43.01662895922182,41.598898580476344,39.0504618285402,43.26274106129111,41.022873641147086,37.33289584962851,40.199662407941325,42.899990805877025,38.66483343008187,37.40456534677943,41.631858526865216,42.53426478523985,37.364547855226625,39.30392644554497,42.28422805745538,38.88056139545205,37.19179685287924,41.56718945448785,41.2824207155364,46.236238950213355,46.204682321672735,45.816636354126445,48.99316209067712,53.18346698526765,56.75900793897548,58.149087288360576,57.61063582708424,55.61133874064912,57.0132169607112,53.414344586219016,57.28963047348929,57.44625539908091,51.16863711040384,52.566873935395144,56.41331202523062,53.14493863925873,49.98943673600845,52.112457664857075,53.6531288254785,49.85073972604103,46.880189805931636,45.02314345914266,45.25846972597246,48.51193060550187,48.33943952396416,48.64982315869161,51.07392748531007,46.951642216627626,44.90225633893468,47.7754384557884,46.34362900470705,41.76744318754029,43.34359740882146,44.89751483061432,42.387757265745094,41.1604841983511,46.20699797596394,45.82581962167199,41.78113325117721,44.80634117668731,48.697606494122354,48.16954251952488,50.30627625961044,48.52930315008389,52.49011527867444,52.14592535856296,46.65481361264255,49.33890093553584,51.876244456991905,49.158369092562616,46.85170571021762,52.762451628432984,52.510970934722664,47.03960198675209,48.46184558490578,53.59414483195277,51.9411531268253,48.05944979726868,43.5907009766135,47.17749332913289,43.266410803722245,45.310358719963894,40.01101131828825,39.51506146601466,35.303225292571746,35.00097310851616,35.617768510679184,38.13973412733948,36.558238478535195,38.67599777562889,34.138717150739915,36.300751212965935,31.82327948768371,33.3137637710149,31.893324166029572,33.69131805717554,30.047576813132526,27.783972645386793,30.332658925120825,28.85301842855303,24.271438371832744,26.210530275435683,28.21727293930072,26.417514808719,24.945011035712305,25.541333073684353,27.56590036470919],[35.436941536554315,34.05562497849215,32.81345415611218,28.075508630347496,28.871576823174504,25.83165193319829,23.765331566379732,25.087625997003762,20.596114368196048,17.954117254522522,16.813170487223694,20.635077987214537,20.18050147291003,15.313263438570935,17.276927589006487,20.504608106917583,19.47616082175114,20.65969078179935,21.200827876256483,25.565442709585014,26.964849307028523,31.494488676501927,31.100521938483602,31.107750520267786,30.14597643735158,25.72404365493795,26.324947279325322,23.268565087490312,23.494335995648633,24.58967715252913,22.75119562798642,26.264019853448026,27.797053993387,29.71440344961157,29.406499085837357,27.29336832304029,29.55214977724433,29.37770701482533,30.457467995383567,36.758018645543075,33.36782552771918,31.090452108256876,35.29006703299672,36.76782664216272,38.21841859043043,39.01174362706373,42.7253541369741,41.20448463419409,39.0231830137335,44.593207331575044,45.9410111049294,45.731289448713376,46.80935979890293,41.57178824230061,44.64856062389944,46.15435778667684,41.94316133032383,40.30837433883543,44.29455421117013,44.347024435139076,39.115839547403844,37.955220665409676,35.250598890869185,35.5496684349833,34.96401777475878,32.15464095290611,26.834975651666586,24.41582577488813,19.98752283105681,17.50836002381723,15.41991118577541,15.090013947665486,18.447162156910146,22.332006476923105,23.7796286427746,29.458541551484203,30.760341452875874,33.652795636349495,34.53308974870325,36.78517583513663,37.122777354111605,38.404767674514716,38.25026048816352,40.12795773348387,36.61497615545936,34.10434541012752,33.155118600241934,33.860894827770565,30.655075870706252,32.581873240420805,28.438863395042947,29.00554243973812,26.057171321721817,25.603097513432488,22.15002500746249,20.900818870023635,17.98740064375949,23.835626056092153,24.16978971428295,28.46134211119463,29.128760209933503,32.58359760547437,32.592372060277306,34.76208539783405,38.73571343564831,36.40527305084048,40.85343364835333,41.08662031588981,38.58253931368402,36.89637488780243,33.14863753374694,30.201916029313068,25.881843504432478,24.7123275489177,20.533646966988844,20.413213927491118,19.949265936116163,20.67869177485633,19.857926878601926,18.15160785565448,15.468139812953023,15.165148053893153,16.634253324095205,18.300838202940653,20.025801534313082,24.73481717669691,28.401712214383895,30.182711179563416,33.88710414166146,36.776794097106745,38.25947856221187,42.39158392517013,41.84595981759038,41.211507135169455,37.59965631589435,33.184479162267856,34.344914254549515,29.675822921300337,26.418407801749673,27.042536708277535,25.90437334045605,28.296325602514408,25.849676023978024,25.647974042977683,27.983817405319197,25.81311459500067,24.682851352343743,24.85472939050243,27.181892305726493,25.106198562058516,28.929915930855937,26.854782174463022,31.69371449186016,30.702588193580706,28.245667895433307,29.330989275028763,26.604334184427213,29.96840429511503,27.80011058904123,31.369713090432075,30.47562680513543,29.459661362184782,29.429404936754015,32.63583916154213,35.18015681931144,34.16880453170896,38.17303561341215,40.06773212491766,39.530682022673815,35.36642841154216,35.916630055720354,32.578861706847945,34.5936447797052,34.948463269456354,34.38404599711271,35.51837934341811,31.698882737323704,37.12605185221022,36.96780322252653,39.392212419431594,39.18532551379213,37.400753622365535,42.12068273306009,44.310215204656025,41.04706114351595,41.06774940186658,37.70651541513338,42.88924360411662,40.59433898286274,43.801473263003544,45.58473275721135,42.90783243679145,44.74060007941463,43.69005277669596,44.99130391511923,46.42010285099128,42.55198920311151,44.29108148066132,43.1590762918782,41.06080704248354,45.50779219503197,43.713255634994425,39.90394492235689,42.56858950880451,45.669245437909275,41.72544793814593,39.95491071333709,44.410048342799485,45.87562094766767,40.680592419080845,42.403619065412194,45.65804128945959,42.59097648266346,40.532063079082796,44.82632118085787,44.18461135132503,49.4286820639479,48.58675153088609,48.435660158862376,51.881174449231445,55.875829279735385,59.6082316220741,60.78588878679523,60.4371784599722,58.25645289410075,59.64793314231675,56.03181114276063,59.61398730318866,59.70615224099194,53.39110560898658,54.64969969106611,58.18543461606805,54.875858335915645,51.669999654306025,53.49578363896464,54.85355866118677,51.15357401134784,47.95028639262546,46.68453840903389,47.08650640013232,50.51024265432958,50.83111327560154,51.30530410432172,54.11912368357958,49.97938330233331,47.6978349416909,50.99025953543363,49.83710516543605,45.11689074698174,46.67378493978116,48.65054008182714,46.3321674532617,44.86763276948618,49.946194781944286,49.89113590578101,45.896575661930044,48.60371189561328,52.503936274788735,51.66325454302626,53.70617274833486,51.74251860930633,55.50089315946443,55.2395515963595,49.605208411821046,52.01683200141977,54.457765254307745,51.74723961657013,49.112392297563645,54.886929273657834,54.613152179790085,49.015022067760846,50.147236422166074,55.22720028446917,53.5674382116902,49.59006193487084,45.235116981270586,48.48123288453446,44.65021116207562,47.21067373573559,42.063821361603104,41.85094948526673,38.038423370841045,37.267386787644554,37.53721280859254,39.62703099972279,37.96521631595171,40.385013610268906,36.079595623978896,38.16501405247771,33.72974481711237,36.122332282375325,35.118840107863704,37.27009571136312,34.0202041605209,31.218877170226474,34.05062074819765,33.10088546882057,28.153049888848486,29.797859280873833,32.35603149749355,31.06484818124336,29.607760395625952,30.425522232725886,32.5866467595452],[32.42991653215248,31.571990441397894,31.21371507278608,26.483258538068153,28.558529450872108,24.823038824355425,23.749994154270652,25.122074585250605,20.49450975978723,19.3090990017544,18.2736817728926,21.677628801498365,22.641237784698397,18.09082369732361,20.56498277752402,23.901349328744647,23.529538065879944,25.552860718212692,26.896262152163608,31.009868814929632,32.86283378124333,37.35117061262869,37.23249884520555,37.22570726524404,35.96472022087655,31.468980575136083,31.56436489396664,28.101262419470146,28.04677412607846,28.386193623214016,26.915804869692224,29.54131202121015,30.958251066108087,33.60074890186903,33.430202403131545,31.823881444445004,33.444719615277236,34.06721018223495,35.160106814572664,41.53191081038635,38.41077739956534,36.504356725706685,40.7922709625157,42.142678103648514,43.79788332345234,44.35888393167101,48.19866121235535,46.61695984936808,44.04229847611816,49.58468410927358,51.021938436248114,50.617827639763526,51.85359363801531,46.496490488538925,49.55224821418671,51.4397539694301,47.3771947606721,45.55051840337462,49.63723257487434,50.00016933617309,44.82139998911632,43.626012922095676,40.72571439275601,41.462475446803964,40.871203853634796,37.778713136524686,32.752184955712565,29.926099830714186,25.862636914686835,22.866328854499333,21.238079722488415,21.05250231511645,23.961408451118626,28.191955240496625,29.056435602072188,34.72904431333923,36.06853695769248,38.57536393652186,39.47267790442744,41.86578478694983,41.69896260916687,43.01452178740965,42.19955139829287,44.19116683779491,40.86162172206521,38.29387250667152,37.92735387154208,38.12144990129845,35.54456481590863,37.03001079105707,33.10740929883938,33.68012361181119,30.33875621495434,29.252425139097117,25.575642086958286,23.856219108843753,20.69546018206114,26.24730470779289,25.949887320673607,29.268185827598458,31.26837433550816,34.03871953020991,35.092653770598645,36.59691485149417,41.0684300245483,38.19659201046069,42.366265381798016,42.59634160998033,39.557503826461634,37.915365562981606,33.790916455745645,31.73507426914685,27.1153227275667,26.83734157864945,23.31561998615878,23.715550591766736,24.21806277048478,25.334581130239613,25.44921239311311,23.284892883008165,20.441782944668223,19.19117708069782,20.14831933858683,20.85246371521532,21.469301875724458,26.4674506794323,28.94457554145645,31.506217781369575,35.15580693069575,38.6274351947528,39.820746361197436,44.02277329473837,44.089974475463684,43.57069008459497,40.04856738617424,35.61070166412917,36.252269244246364,32.14560874498034,29.189449357854432,30.40796280416204,29.94903781294877,33.00456757782505,30.704263994419932,29.9458056015289,32.46955201712977,29.999456654111842,28.432471238981694,27.92357934386351,29.545875282038676,26.658047412318854,29.792332406749633,27.074815086786266,31.780423511601406,29.715572262324674,28.07245684693647,30.017844788042808,27.94421908915368,31.30511008103628,30.086802257450188,33.47581341437555,33.340173998861694,33.1260953685938,33.2483161919412,36.74129618183039,39.04596924258057,37.9918258075178,41.61965405465014,43.60451382825613,42.49559498911151,38.38616442603684,38.79940636158859,35.708198282312026,37.909154693470946,38.31887122164127,37.806483899309804,38.536788760955794,34.885071104037834,40.27847375559506,40.59044200127238,42.68743402520362,42.768627556081,40.15457642247673,45.110126203951204,47.52816395366261,44.40699915117858,45.11673277599932,42.14043060944625,47.44237136061227,45.307387907191355,48.10088999469058,49.602837717709576,46.68522643488991,48.01598116766893,46.53872298198356,47.471553867569206,48.44523708050495,44.2870195845963,45.6276628351526,43.88081601047603,41.725508239723396,45.73326705938531,43.792578700273346,39.93445319918136,42.22092083429345,45.08440393144982,40.881019325870696,38.9253388246364,43.185377159904945,44.495910478678425,38.91751044783885,40.42013271210729,43.492255397239425,40.23135857857461,37.90744293294945,42.09939162769629,41.829165222399816,46.97123953624195,46.645896069546474,46.776959112414445,50.06533436007851,54.424602181209046,57.86034381950032,59.51585140762862,59.450599340959016,57.663410235685994,59.39297562094628,56.085154506948086,59.92712327151639,59.669789635072775,53.400785751075695,55.14531189846867,58.697345356683584,55.11794027441121,52.202517749866985,54.50049581724419,55.483121224749475,51.49782264238957,49.02157598613602,47.11947544798881,48.08981663824211,51.362078392361155,51.15461426437886,51.88469510947828,54.35823046474517,50.491396585502834,48.0696162398335,50.742454806744796,49.655411583197534,44.971497890444795,46.0513780505124,47.680335196373065,45.17867707625232,43.53893152583941,48.50836457779077,48.158232896819996,43.85285179430517,46.574138582886846,50.54520814746157,49.93958877760802,52.404934969111146,50.91488701951154,54.7832146032085,53.98437965395079,48.46625448689469,51.430596894537906,53.56045997924496,50.608414555156884,48.530797081431025,54.39443492780845,53.63691796694693,48.13296224243471,49.86913551803575,54.75713077022293,52.66267550269636,48.73789447165683,44.17308139604278,47.29325698511004,43.140146506054634,45.32993720561059,40.07598136179518,40.22146367375196,36.153696885471646,35.18878690098257,36.0214579693136,38.391283472475216,37.25635667766925,39.93642655766364,35.88534179152789,38.568300610163924,34.29733038844227,35.55604565479603,34.63236894503882,36.20885782160048,32.985122252346294,30.23658163257595,32.15759582558993,31.07133736406037,26.827765301315274,27.630862777625104,29.4907585900666,28.186829182949005,27.324861911427327,28.389499679996273,30.44011025931765],[31.852128167747868,30.70301823258665,30.286729458294015,24.964427593376836,27.208611935014332,24.664159757270195,23.727940858575685,26.14383157285822,21.990761237846304,20.462141425978892,20.480566169419824,24.45905070023179,24.203065669579207,19.492188492549925,22.905866865376158,25.94778242878277,24.41027885518496,26.54406647753374,26.97637544997894,31.262494203412558,32.804740243073645,37.16395193642269,36.67451854220008,36.02078211612508,34.98551933624889,30.582442394701776,30.885002867552462,27.75180626702769,28.672005800972062,29.702678071497807,29.23412345499505,31.893618342089294,33.997298231921526,36.41425492135257,35.59988718289406,33.33193298770996,34.90348959039692,34.534316477486804,35.00795583433986,41.25237098397917,37.491482008536714,36.146292747333405,40.56927038242887,41.44591214486054,42.61020401912025,42.72012819574466,46.656286293037354,45.64833224626655,42.86164548480034,48.13503085933294,50.110530838155135,49.97388203085945,51.589931946528786,46.349223011563105,49.873866900137436,51.59383727292835,47.34784844256212,46.093827499749565,50.32755074389965,50.179918979281666,45.14485566034694,44.55981092018021,42.10291205095082,42.36642259793913,41.30233625898246,38.47091134375653,33.386953822920766,31.092238304648404,26.652004566962873,24.493143128192195,22.338661943178742,22.498623994912844,25.980094142907245,29.640304055645377,31.025336776116124,36.94729826818874,37.73021551819334,40.80698215008604,41.24603808493078,43.13275542525003,43.01723485744845,43.713836349468075,43.19581716249841,44.508649577252974,40.84167600745799,38.87903524261538,38.5973531311463,39.58796724365118,36.90064609288382,39.331358477277604,35.44475246596067,36.48321813715314,33.40452596628526,32.599764944333636,28.690241130796373,27.651766499788856,24.163743447630512,29.57311788306373,29.055285271053567,32.64883620066401,33.92187743980889,36.2612074172619,36.851114954913825,37.89272697179008,41.6573960188239,38.51127838774018,42.56847901547475,42.194361467202015,39.0762510076478,38.06841657842239,33.75800807796814,31.541304448513802,27.17949481228543,26.20851155744257,23.143595672025068,22.59357570557606,23.436625476421725,23.53745346158904,24.33460928806447,23.20827914476053,19.86833041194347,18.870050625513972,18.428378724137076,19.52161422250635,20.600359595456407,25.04661889382717,28.12693355164157,30.558168270076223,34.23566634575257,37.957849349039336,38.35480523237383,42.82468726812943,42.59510442737886,42.756899451503344,38.57076922520287,34.226149090086125,34.107923625128166,29.916677582960943,26.65165907858983,28.45168124929855,27.208718890255792,30.511392024197065,28.974768013046194,28.430865624205744,31.42558344468666,29.75075683409018,27.883065768752132,28.133795274566538,29.89427035117554,27.481120788844983,30.86475474436056,29.02961941733348,34.06634458092508,32.72119777630571,31.33299439488511,32.720791574185384,30.14991516079547,32.95584698654048,31.554191106798644,34.095256529982784,33.07101600004881,33.17804563422825,32.176318385863375,36.0946089023827,37.67995601404619,35.741107256337294,39.472547493270646,40.904814811910306,39.72854202750361,35.6638221453516,36.55630152068362,33.81174826355488,36.7223412867684,37.72350017586308,37.814174481596574,39.1201699519056,35.89073588850592,41.51220421618198,41.099958444211175,43.135934140076145,42.4167287295637,39.938840191684505,44.41902336860342,46.48967477146076,43.20340109989725,44.06184316445312,41.20664319503167,46.16123519676584,43.37968713151802,46.246335095953356,47.44237731015404,44.86861758561602,45.98634891666401,44.54642372160075,45.51465810342581,46.34599370432483,42.08543714372359,43.82866349540528,42.11064847658968,40.572024463115696,44.62215094650662,43.27862759817662,39.25517894503922,41.031954330264156,44.33636748398127,40.49662076769855,37.74865754752576,42.210414008814034,44.28855546682456,38.606240347887315,39.71098566570974,43.106562528823716,40.35463654306716,37.45482742306046,41.46138035728779,40.74827286877646,46.22775477313963,44.897994013774586,45.40995956285305,49.00232505689787,53.16095694700152,56.72040146865574,58.20669772058922,58.515399012894015,56.639559698220445,58.50646078755131,55.35450429054533,58.88403946122935,58.345658116286025,52.083567264013055,53.881866576225484,56.985133738201746,53.228384132096124,50.41697842056328,52.56848229299293,53.09313153799939,49.12247934908565,46.75505526595927,45.29527852313598,46.82322753807182,50.218418627458284,50.420462826732,51.56408784007599,54.43662416656688,50.750098878910215,47.86325581650654,50.82044777300895,50.255764739150315,45.37554632580227,46.14655003353241,48.29798064177229,46.0601431874487,43.94765237751156,48.88479418354624,48.980295875155726,44.690263795927606,46.85480173406548,50.831833601209745,49.804170079755686,52.25793366425682,50.68665600303373,54.26564552700701,53.3721615887706,47.72401241093309,50.49616541431363,52.3415455903225,49.33054193305451,47.02809572842008,52.70081701033798,51.73518675981681,46.13733529651379,47.71489842960287,52.42574328683864,50.184912339345715,46.18676257088193,41.73570588692449,44.387469470210554,40.288127393449344,43.00055581393058,37.96752523591253,38.55120950571176,35.017160416901184,33.406523048784194,33.90194797299762,35.776235650338435,34.71936672434281,37.84164180134885,34.262298563769185,37.09992022811564,33.04842056797763,34.98993897022204,34.75159416325602,36.59746272476936,34.091564349039075,30.52893325326596,32.52857744225969,32.29538564574542,27.765955235716657,27.832287454083144,30.389524124740227,29.9957055733876,29.30011625217497,30.871696979700804,33.181491564405206],[29.659751800054174,29.063288744311436,29.451904638131964,24.403647065153393,27.651322146166734,24.346202119018695,24.230575502036956,26.383393376291533,22.20163351956286,21.85835621971119,21.717274465852686,25.150591534095614,26.107473081574295,21.775446854672897,25.166318492598116,28.295544160966386,27.49951483288949,30.101024936835195,31.314658088848514,35.38065917905028,37.325749753710355,41.6980553604718,41.52355872404956,41.06961161604514,39.74203718620329,35.26584170677533,35.157148090482714,31.670629158280843,32.10760913451764,32.446915704530284,31.96794844403505,34.019123024876244,35.87730121306944,38.81883318089086,38.24285659843626,36.48765427821736,37.633370638501106,38.07319581591018,38.7307263978467,45.03248691314886,41.66869852198374,40.42036693497169,44.858741377954665,45.78392864751085,47.24554602392907,47.32655400157778,51.31476945951068,50.08656387946458,47.08259057319568,52.39809074633527,54.27455501435821,53.91621931704174,55.53862133591561,50.186216828812356,53.56202268954554,55.60823281897331,51.52653459152726,49.977432960845576,54.24542727013389,54.46588401508342,49.4285015884858,48.657898189411924,45.94426372526296,46.65482674826994,45.70378821996504,42.588873588211804,37.718605065725136,34.991701740268,30.883388040451322,28.15139612831794,26.41598687627535,26.582756601242373,29.64854496387166,33.71015168535888,34.566064644024465,40.448191194955356,41.37754638930278,44.05383902710109,44.60559406182706,46.71374308712305,46.22402958721643,47.10019937834295,46.03341457019317,47.59655385125095,44.172459069669415,42.01634854032852,42.12168306830448,42.545148384844914,40.33020759561305,42.22582677527002,38.48984057549558,39.440003842360035,36.04074858729294,34.759548797003355,30.779050568667436,29.325346607443176,25.800662072693736,30.949991704336846,30.061577762618718,32.852032028305175,35.18116332339462,37.08559789332276,38.520766342293264,39.17264802785373,43.429050301965944,39.98001952951165,43.80395475762905,43.578907339102514,40.103725389721525,38.99341136246092,34.50585088873291,33.05400255682265,28.50668505158337,28.393343045531907,25.744200552964053,25.841231162864855,27.186241937165697,27.879655190951226,29.023134867222,27.26290825612437,24.034032672449822,22.420745105128436,22.150072361438074,22.434665798734425,22.54996687590558,27.194863783577087,29.11099132883948,32.12369875087763,35.67838137541079,39.72503708221835,40.101915460403816,44.49868476366486,44.827136694571045,44.89255313184442,41.0026709190123,36.6773210660554,36.37940920657164,32.72671559960959,29.860173333604926,31.868111014596273,31.395502091258024,35.02955166225731,33.34926398432752,32.35859702322425,35.29577018912894,33.19153699990516,31.143545997276124,30.70947109678029,31.90985056883124,28.853419762424902,31.593667551805176,29.144233856658524,33.90067919074421,31.639929074627666,30.86943394195872,32.95424943875041,31.00494570977156,33.86793061399006,33.21214141803166,35.78602744698811,35.554384326450084,36.139316728342976,35.58127056783574,39.53548915405462,41.145654140624195,39.468420232132374,42.8434937961056,44.49968493688184,42.91906372525254,38.93883293164278,39.56651472407497,36.94319510039589,39.74245353815137,40.6053935555805,40.568412397002994,41.42064016665644,38.23643853280136,43.72972927636552,43.83985802681243,45.63930376815846,45.34696497892711,42.24252641087193,46.983467329806246,49.30467664636184,46.197030580475925,47.52024518164245,44.93058767817066,50.04926737350436,47.59906627199596,50.1138373124825,51.18183492745546,48.3407609827137,49.13054261540782,47.36410595251525,48.02858435891934,48.535161464325775,44.119349411841114,45.416831041939474,43.21971831490178,41.497996648974,45.13346159457375,43.54511499889883,39.57415837500162,41.13718474492079,44.102363750098974,40.013793019453686,37.32738991926736,41.519086235882725,43.275606326920474,37.36076673405988,38.344336076997166,41.47763900141954,38.4881651395284,35.504150714412,39.41425541208919,39.12623796905662,44.39364108372538,43.74526320094888,44.405845082784104,47.76438610660308,52.2451280801845,55.50562846429859,57.419241103421385,57.87363811270273,56.355549678948144,58.45418468735524,55.537534905078324,59.32820690818937,58.57776178903621,52.39844689468129,54.563862291021216,57.770386551884236,53.86713081446702,51.2892400273631,53.843517741799246,54.18194056491706,50.00799614982742,48.22584886253343,46.148308856165585,47.974901829452264,51.18653642269247,50.86235921707865,52.103025653128356,54.58931766989489,51.10862044518629,48.242966688708776,50.610006120232164,49.99026074796317,45.230908937095236,45.67420911066533,47.409891123582646,44.99260196032886,42.853736197582876,47.656005250288835,47.417716039041714,42.90795773982181,45.170059555485146,49.17049505668088,48.43506518042903,51.22339563271186,50.07387154273071,53.77895085494093,52.46974037744892,46.994238611024976,50.24391728024404,51.884065422940004,48.71008634830464,46.94716416758322,52.69114783046767,51.38151069541109,45.935517530862015,48.042643347315426,52.59860934584568,50.050273903029016,46.15003394512306,41.53870952473436,44.17458422686717,39.826741979730315,42.05566388334892,36.93251020865442,37.718179817869206,33.89323910319473,32.28072683377981,33.34280419068579,35.55431607585154,34.95164139500692,38.12794663210436,34.70617968985574,37.94564139494407,34.04418074695481,34.865758336939585,34.5469474954251,35.833189566651306,33.256510450000505,29.97094788757227,31.142249472768253,30.650882338873828,26.878175042448614,26.344398522994208,28.108683129084675,27.587467490989017,27.400369610762855,29.068518298271183,31.195460567679007],[28.188137414314365,27.22479711966121,27.446993119312502,21.933850528441624,25.237353357649337,23.156209117633544,23.166513642453847,26.21926078227513,22.61706382343406,22.01914002677936,22.816377964363507,26.64400989684404,26.548508831006412,22.27631770096953,26.4203333050873,29.21594049898334,27.504870732705168,30.30528978640348,30.94011143592437,34.97039488987152,36.787278193680066,40.953794394551565,40.608774339388845,39.6269732479929,38.342463319293884,34.00612220205424,33.8874252187489,30.656254811846065,31.857141992432975,32.66645361019793,33.1992220311618,35.09930001166321,37.59095348102846,40.403288462497876,39.21225867452336,36.952544057032085,37.9070359115738,37.58996151576932,37.68996197397418,43.79656507312627,40.00841631611855,39.37248132580029,43.89233064187467,44.342215669392765,45.44607772973073,45.0760055130194,49.13557472493472,48.37127448269774,45.102984691035594,50.12199434710484,52.45869628649656,52.28041175102942,54.266784158302144,49.03813476156309,52.804752632337895,54.79090268644811,50.62939641480716,49.562791326540555,53.96898571950739,53.82266871475643,48.989421725886636,48.80698497417019,46.47755951116233,46.932085927750784,45.50496378849642,42.53734538222049,37.81995509154957,35.453739561754524,31.228149819198542,29.123902128474885,27.13186845199493,27.7752672832272,31.084804542403628,34.68687978613448,35.7496885078945,41.86274308649967,42.1750111676192,45.28235006145511,45.34885244477294,46.97360922998778,46.39643786698683,46.68577419228244,45.77472968698334,46.71505380347818,43.06240635602051,41.47112258062007,41.78029104350481,42.830052798404964,40.68887048434113,43.386093740950756,39.788042464304425,41.25363967126926,38.031770108394866,36.89620492987672,32.67299445650282,31.858831401552866,28.018659458166354,32.91938322740533,31.785016667791133,34.774654781615574,36.41748564150592,37.84813844475373,38.88638642505245,39.04779446438091,42.62506247776008,38.932978130587,42.589397587106106,41.81650922187387,38.29246985563202,37.779128491361384,33.181736172153045,31.64891298695411,27.431046297283704,26.774212506007693,24.708297983948476,24.071013661519434,25.837348789029452,25.788676387787266,27.717426423853563,26.704969735355977,23.181320774286032,21.641519322945253,20.14899500640835,20.535785740112047,20.884658757799833,24.867841784234543,27.176627469741106,30.042346263372828,33.54898548049225,37.79294507854722,37.435643032616795,42.01856335957255,42.12918056017801,42.803053334539385,38.39176024695728,34.218300700149285,33.209353325080336,29.63491237472981,26.642711544291384,29.181707426132885,28.258017723057552,32.162755072273576,31.163541692783333,30.224952786253603,33.51434649042605,32.07475207203365,29.74226071531469,29.87658135114135,31.088700233513627,28.478197098032947,31.354357461945195,29.77795360036766,34.76409118770556,33.28809914764548,32.721875948360015,34.221216736922784,31.845171684615313,34.136342901545426,33.37599402425675,35.10720506571655,34.15285908908734,35.123801614474075,33.62680800428839,37.91945330538491,38.83961830930055,36.450738659843594,39.778724396047544,40.980717838141544,39.26742805271888,35.395982767098,36.383313893634146,34.13889028804413,37.5186481404038,38.89035704016892,39.396167128505134,40.7047283662908,37.97677970510126,43.60211084143135,43.10380268919332,44.77889448429076,43.808883462301786,40.761375497026435,45.04390224137853,47.06231407010721,43.86765888070136,45.418609153375364,43.04622744389463,47.83042601198083,44.92086628067519,47.36016046091876,48.10689608460632,45.53335812970337,46.05303825435658,44.27843264585339,44.92545802539459,45.264159667130045,40.78157641233724,42.38634134586678,40.21292368139962,39.05504149057678,42.693518663467046,41.66238604646846,37.581082112540685,38.67383270978359,42.02527491763923,38.32200582261737,34.9460595521339,39.300249576673814,41.76283698284013,35.84607419754069,36.478420602860844,39.91083222434779,37.45192549969987,34.004278978576316,37.72652215551021,36.96882824659673,42.52941406180757,40.90425936937864,41.86053321107501,45.494636945039595,49.732556279274014,53.12977664803597,54.830985349203466,55.58402105373617,53.96060405901558,56.15260949831203,53.37612564924661,56.863175569357814,55.8785141914634,49.731377858928866,51.92347699218487,54.72236617176604,50.68771264674692,48.209646432315466,50.62887340901347,50.57320293904217,46.43011599506306,44.76060261812843,43.06723306363016,45.378398056045576,48.67337711847492,48.71825796471328,50.32335614598383,53.16515247515743,49.86882939172986,46.59759382753083,49.227446099012205,49.09500155008838,44.18747720625113,44.36261459591667,46.59786093153764,44.463899423470096,41.91403421668088,46.660460788179776,46.87641166788739,42.45797310693649,44.175874656860955,48.14622687031432,46.99281448109079,49.70625210268628,48.446543372633265,51.8591944910905,50.51704448868711,44.941766889500066,47.95733884747587,49.35744196518391,46.16654041461009,44.17205689781055,49.71537339750531,48.26631012410354,42.75314616920345,44.67829834469595,49.07599240220631,46.4432794083407,42.48956044479196,38.00837036304297,40.254793862990496,35.99625836692258,38.70947390319007,33.81147235846687,34.93786046972045,31.660812154709628,29.494714590975136,30.180147230352173,31.913539337035186,31.35295942102169,34.88621421773675,31.91546721826943,35.25670447305529,31.613302232854807,33.050968583515626,33.37381028333209,34.92691123231059,33.067011087514146,29.065315438818267,30.368322160219254,30.716954715923375,26.67713836990026,25.53638460602049,28.04305306579941,28.411700001465316,28.28669459620151,30.37846771764217,32.74350377773254],[27.577427220463807,27.060183598559497,28.15341872949008,22.77575913886043,27.08958148640869,25.30622545835551,26.165183570704947,29.439509138679853,26.23968212259877,26.364797468534395,27.405249901049213,30.96936569187936,31.22132120474668,27.238349235259083,31.54459406691565,34.26676092190379,32.62059565867553,35.65753502503183,36.360780448325436,40.299014357580454,42.17156120327997,46.255444477676846,45.9056557329547,44.75325537538726,43.45150147529004,39.18727845536262,38.94148952437664,35.712073834121995,36.99992896708784,37.649351368335275,38.49409212111386,40.04818200182455,42.59560231083341,45.624344519986174,44.371568383535276,42.19472675891589,42.86666187025714,42.64839720276768,42.584506408083094,48.577565974408145,44.78205274060865,44.48337144717526,49.017299770091185,49.27305067621164,50.29759527394433,49.66828028946108,53.75905698932891,53.17303257812524,49.687397977425526,54.51096461408492,57.05386239662342,56.89522269294363,59.072198843438564,53.87189163215383,57.74124809058883,59.83990204874193,55.721971513829175,54.74938472558604,59.20813717721497,59.05222719011779,54.31005976312463,54.265883333595674,51.972105769198485,52.46824236958248,50.943773775201144,47.956375952725175,43.33947031923131,40.965321381945344,36.791940537585326,34.67925968026218,32.72763394688617,33.37146317884868,36.677882848720955,40.29748816126745,41.30387103720308,47.43387583351612,47.68210345988185,50.753609578382,50.73929259361133,52.29750467662825,51.52330671380011,51.65181572467639,50.520969899160974,51.294025102820434,47.67942410954341,46.27613143664274,46.868790912653466,47.88769161336937,45.99904326142014,48.70711297073177,45.20902775302056,46.733538916160725,43.43121968639353,42.13644008896254,37.84318202914662,36.96551905745101,33.06669221923395,37.74759301922097,36.32771319727812,38.827758163877085,40.89859015254335,41.806259573669166,43.239464402911615,42.87446254536915,46.39274776606439,42.362907688548944,45.672619685976194,44.65399201368075,40.83454648490797,40.66607518058811,35.92461959613554,35.01282968913945,30.953925896735008,30.618359778605832,29.18017962632062,28.55711164279017,30.73698457672182,30.57323579720679,32.93345680037339,32.0151187753232,28.465249391640867,26.75361986210987,24.86088815730532,24.87420830311141,24.731860690153717,28.299123702081346,29.855223308979586,33.02842516317122,36.31020144559339,40.88991449087443,39.96958383010777,44.56454228373093,44.97330970674636,46.01384000199723,41.51612384480627,37.536636307493445,35.85909929972884,32.85133252000582,30.129683500318382,33.109325834952365,32.319966967108414,36.469829192773,35.835347943968955,34.74328661006686,38.15324311130176,36.850477755994646,34.31443863043731,34.33799380558708,35.17693161421432,32.40186446164968,34.805878210664666,33.24651894165625,38.03384022031371,36.21232686295351,36.27227722923325,38.020094999186185,35.935264875028814,37.95810210447938,37.68479776008348,38.98013773631153,38.18244808953089,39.65155468105505,37.920678454640935,42.36902127354506,42.87619368691735,40.19958822264958,43.21412088463898,44.18413882934666,42.10745962314344,38.456857587746576,39.53237491106096,37.69653065025116,41.34749742686473,42.93209122036213,43.66677475860437,44.91648553429011,42.47790270873702,48.039654783735905,47.56824410271073,49.010990326838126,47.93765527344749,44.527615703938025,48.6556174228635,50.62835401691591,47.53243910547257,49.521544470820885,47.45504612110484,52.085896439921314,49.06978812124719,51.25137120505812,51.677630049584465,49.16157518120378,49.24683833837159,47.24622950860263,47.62980924098807,47.551474211829365,42.942311211698474,44.38701440469991,41.81041702147306,40.987058359660104,44.15102740021631,43.36154698890947,39.31522960777264,39.74962382904732,43.01987250613155,39.44634291249692,35.57934174297993,39.679538690414304,42.37821846263533,36.28679131951795,36.41296920411639,39.73827315351397,37.52490532801108,33.58047992273795,36.89060446688475,36.236759817383984,41.73146004516485,39.98661270348226,41.46560392768012,45.035182824072336,49.382659975763346,52.50245361467445,54.51434296340745,55.74325724780218,54.45430049612253,56.97144563112536,54.60402296378195,58.05841910162165,56.639283864906254,50.67731143212849,53.2557110282722,55.75339377840187,51.47743160660965,49.37528391349753,52.04545472147135,51.41155744863738,47.14104811454765,46.21598303498851,44.288372561515715,47.29808238961364,50.44410310968179,50.277830686064995,52.260384302108385,54.970390171827454,52.05301571377786,48.53043100563635,50.74068786753101,50.93498150636984,46.10091250761639,45.72167917200497,47.88189821215627,45.804341885412676,42.930704354559296,47.408214073898186,47.6158791530064,43.07190556675737,44.4103305788337,48.331370149084066,47.1692452085795,50.185560886067286,49.32867006694586,52.58584795678905,50.74007556500203,45.344914323108284,48.65404409681879,49.56576265097707,46.19950198029524,44.64456561753367,49.99429928792133,47.99915296136025,42.676889561091514,45.01376577072759,48.99858240838516,45.91601892097342,42.07992464691978,37.62251482237329,39.32230333633262,34.90495885491858,37.50307509421888,32.85176273214051,34.63720356351047,31.63865170929794,28.916327821292224,29.935844327713475,31.504679704525582,31.59307459738918,35.48126021257366,33.2021851211883,36.97469816662345,33.78262882999778,34.575686777486744,35.32194610776153,36.46457291518131,35.10852774247451,30.965452568221675,31.43219055090472,32.139416348685636,28.82962741602548,26.62006228931783,28.688932871308513,29.5887070170554,30.082385229033804,32.47172566297682,34.72814072535862],[23.86688578750002,22.83796856110999,23.44005227561576,17.83016858043027,21.89743300352647,20.907781789414276,21.79205874904855,25.55227960773434,22.93246455959674,23.049508388928764,24.783462012639866,28.402459277408287,28.035393952405744,24.444575625511465,29.220286252534393,31.55490621281177,29.494232249257454,32.8814845342872,33.63373270831192,37.24427360129292,39.337491232876445,43.16879766690233,43.03585909939983,41.696542708471284,40.087820001658685,35.941862247834926,35.321031051289125,32.118648649342916,33.693450247453214,34.371161420082785,36.151676439687805,37.22333559220943,40.23761428500731,43.319315806899915,41.578955283549014,39.24057827050979,39.500512503547554,39.06500961416392,38.674805799190445,44.461292987264706,40.69730129226172,40.92430642840492,45.46806836333545,45.37727599188463,46.39980288379522,45.47268370689009,49.60717439514404,49.123268365604076,45.341158553953356,49.97233743724006,52.697833461364645,52.477603622425704,54.88663461638922,49.76735339354984,53.79585592375277,56.049320704123176,52.04221340204963,51.2620105504651,55.82297054604275,55.651195379883596,51.143292608596354,51.51952948996234,49.43180809743478,50.0917593123257,48.178322933396004,45.10098288003902,40.94194182766052,38.579622795759605,34.699260651860776,32.81691615505423,31.025935199488636,32.30929541359657,35.36130313919382,38.74033208626506,39.42425204012706,45.71184875687239,45.32459275187586,48.518055424523965,48.04611144781421,49.250154419303,48.16115830158813,47.883497112473755,46.6233157781418,47.024266471688314,43.41608180840436,42.355318005462586,43.3166159484372,44.54871195526889,43.04080087262149,46.175953479440714,42.989798573803185,45.04902763224587,41.78538883532867,40.39093610820795,35.885810026187684,35.55692041944105,31.406778567432475,35.58061845925964,33.85261972124083,36.32096600950288,37.92144206836014,38.32769771239473,39.574463945738316,38.76357999094408,41.842477903500935,37.67208737616379,40.818739704727015,39.526813860265165,35.713733302738355,35.86057904190586,31.125465029981925,30.238883388120776,26.47760184015914,25.979117632360815,25.150969947514916,24.31316002094157,26.964807338967724,26.71852967659775,29.83394951447802,29.02889949875956,25.47420416077646,23.51528469062244,20.940536538532665,20.598591126966408,20.27154259299815,23.287720966560205,24.83905591314961,27.91327128326107,31.104130287857668,35.75197579229113,34.5059843570047,39.127020634369366,39.507711510412825,40.79047075398745,36.15963556383193,32.31753336680898,30.330108209922223,27.545699458618557,24.99094027041789,28.216681496621984,27.705312533385005,32.12403489926748,31.749109643517397,30.40552405602601,33.907007570637575,32.858105346738625,30.102490951849276,30.24591880844289,30.8903994519936,28.381380137715343,30.726694523847524,29.81782826801304,34.65716236787603,33.539555626805274,33.72387642953183,34.97189618091239,32.664738639668435,34.19123864866469,33.98129236171785,34.62601571003855,33.56123461368255,35.43384642785536,33.31362416522422,37.90573775324703,38.01191753499817,35.166243497630724,37.95625692886493,38.878664934743924,36.623959510558954,33.06954973311462,34.14015955244624,32.529424195407,36.35880989184237,38.15653201619333,39.17848686588459,40.57396737030549,38.53114749218951,44.05641482115555,43.31432572376689,44.56723912830016,43.213923884411706,39.693228139173655,43.57502275325147,45.444072529671416,42.392512784993656,44.661209334915554,42.88206100777914,47.357051340601195,44.36284985624869,46.26352681843685,46.49622241977446,43.97621455488839,43.83520156755997,41.749559848495736,42.06159413449384,41.8912220871819,37.27460340605488,38.77378659794203,36.2371233553127,35.6037363042346,38.81591620853944,38.265105253589695,34.18574857524138,34.509502013713174,37.985895129780914,34.62825913503991,30.541358145220855,34.79319158152605,37.81814507942203,31.858780214432336,31.966422617655706,35.51307057260834,33.58912698259861,29.610453516782158,32.97184797487881,31.940893175509867,37.621843558835025,35.359515643486375,36.72039415855562,40.46371219916187,44.605280797993174,47.93734188574503,49.668656917005585,50.836276247088854,49.364381572624595,51.815072401997945,49.407355851954385,52.72230280533632,51.31859977149911,45.33285591231448,47.8269728383898,50.23261732405671,45.97418574580616,43.824703054274856,46.41277990222991,45.77671521483527,41.53729808166609,40.51842476905639,38.73234385204591,41.82173144004806,45.00444792704499,45.03616024692109,47.12849838417357,50.03835859088734,47.1808295277092,43.49027668181644,45.921114752205376,46.33828723064667,41.43107691130828,41.01800395053863,43.510072527785454,41.63214090031304,38.606685580450986,43.10271085398429,43.63615635415384,39.26161545430269,40.349865763561034,44.23850788580965,42.80189247883698,45.62137796883897,44.552568191019766,47.67473688359199,46.011518701841474,40.51236101072348,43.57201211403036,44.53344454345007,41.240606418637185,39.40948222458103,44.726042444880505,42.890247706525486,37.46785001419984,39.58004827612559,43.65475619803203,40.737501224060836,36.83341831895767,32.417596306978886,34.252327943515795,29.94510760864692,32.80012383141045,28.126932345510696,29.75368950001312,26.991775563506245,24.209401077328817,24.845867641958577,26.264657319326766,26.124712508893623,30.04326282128043,27.81664441197276,31.535881854074304,28.457780197623965,29.63462419699011,30.69114413905501,32.08085775662396,31.150894797071942,26.622503641507947,27.392376874561414,28.621585905979273,25.019176776516947,22.68552661775309,25.46323621453718,26.884123241288712,27.196027882344172,29.80811564841037,32.253869145441186],[26.42896450159807,25.345734551004504,26.013810943408025,20.44807602290367,24.426151575625187,24.395784653575124,25.319478676228385,29.37431103333723,27.060433209350595,26.927557934298626,28.867059933283933,32.612153193030274,31.764393327668493,28.16238083900189,32.99402916994449,35.21812811316283,32.72622619602977,35.91811639837936,36.10543513952876,39.7549359941303,41.529787982988346,45.21852109299827,44.79677183974039,43.101137950083235,41.768079390278835,37.82460333269378,37.4428128081981,34.597455214605056,36.63218734305498,37.691037946867425,39.679053013590774,40.91993204429408,44.09927116974837,46.96371665517454,45.04190367447597,42.41548843695402,42.766839480851864,41.781223909270636,41.07918499403154,46.645669153895646,42.54198924975663,43.038151356521624,47.53836640596395,47.195312311274414,47.84127092114058,46.655749318939584,50.74307140070435,50.67641758872294,46.89195494250452,51.23070115714891,54.267134205500355,54.2699547031885,56.85688223894694,51.903617811258705,56.14048159973106,58.203638887693856,54.12074145522432,53.69635705411594,58.24684425495491,57.73963340259846,53.356004059926356,54.01176329089839,52.18177179504062,52.49530971565857,50.42236467868344,47.60188355443958,43.39488169135687,41.40571515439042,37.36382284606663,35.92199650446824,33.888773503168345,35.10524142610771,38.416841723494436,41.4803384802076,42.524987298646415,48.78322815239673,48.26915276599233,51.70933418877772,51.10737464716003,52.07665802524173,51.12995155525227,50.56411835033577,49.566816238767814,49.59444799873323,45.841804643433896,45.13636531656557,46.03093073532879,47.68389725492616,46.02783885073428,49.54100993303121,46.33095695186304,48.448249110582665,45.36679327528333,44.19035806007212,39.723453048541224,39.55640893686201,35.43441478845285,39.64844854097615,37.98616504870478,40.61176583790493,41.86065503887159,42.187277118606,43.137214746272996,42.19139228069615,44.80238783874787,40.603824218875864,43.59684824229271,41.93756783741589,38.185508705826656,38.760396690550756,34.08996592859138,33.141944851232296,29.729724321801143,28.82034930119461,28.2535648417263,26.89804874956995,29.50656104830142,28.606224642212357,31.857634800622336,31.704294591005116,28.106508454105704,26.496720225438196,23.41296026904183,23.38803609381707,23.40900301201775,25.780177594556132,27.6228466179278,30.42483259580045,33.461734844197714,38.10452232161761,36.285256488773385,40.95372808492271,41.10376492616019,42.872912406211626,37.893105996746,34.286275174012445,31.739654430572642,29.08085295920455,26.451602069497458,29.956418834764424,28.82345104686119,33.171651181167626,33.390195735477704,32.3097362485861,35.95626457994388,35.451307032082006,32.67951346300462,33.29009434607989,34.03946679953758,31.912125553648334,34.32562146762328,33.84644363364321,38.69294608980391,37.875744852903985,38.094331855284636,39.10960264660753,36.62773205400813,37.91698057301067,37.557569505283666,37.80645202015004,36.23239035108335,38.16327118396793,35.42397856842568,40.10751070423258,39.73694930141066,36.308855813481564,39.078616693732265,39.479982226582806,37.224471756647134,33.869536807386574,35.32457981866987,34.0849758021887,38.297160222865,40.43890166382888,41.79952485864403,43.51468179143079,41.71305737439581,47.24317372130578,46.10328321227967,47.326091822105525,45.503223775742846,42.2058365907611,45.65894323416182,47.22667316962662,44.127674250200904,46.41346270127805,44.729579689657534,48.84594035068975,45.42233090199728,47.36170420616727,47.35054984646817,45.183069821995524,44.87480836924298,42.875218854459185,43.197702813364536,42.88421641916185,38.30474134770217,40.08547576426123,37.610431052262925,37.5386071153275,40.626911867267424,40.56911598567269,36.514487588504664,36.35514372081839,40.043892057538244,37.08654073739703,32.493166153247714,36.68869816085225,40.22276804108867,34.38137377771527,34.09924155337487,37.73255570283208,36.28064317899984,31.969381389807104,34.95701882995978,33.638105910955645,39.374297062231946,36.31813135054859,38.08341392061486,41.9549610116947,45.85642057464819,49.158540346937826,50.79051665845907,52.317126272494534,50.856208272659146,53.41500612983758,51.22177710468929,54.23331197713318,52.57705414393435,46.742783303094114,49.27493346205918,51.23083047155158,46.872040396199466,44.912977334488005,47.35082857109666,46.245993673269346,42.0917549217547,41.31024690247884,39.92932627647303,43.47125858517048,46.656387062574886,46.979421441253436,49.35920067592433,52.47150853685981,49.82057678587943,45.88530223316351,48.41699961074123,49.191882572344305,44.28439440555998,43.63126726207178,46.38992847995596,44.72597471482603,41.456072674316644,45.77377698161133,46.57348940622373,42.303090544176925,42.952445981278025,46.737398387329996,45.047372429597864,47.840239024708374,46.796019297347144,49.61835015910862,47.84344366778027,42.41202204495785,45.290373224950166,45.92601108086046,42.63364847634753,40.743980103224395,45.73366314916805,43.65540355730857,38.325995615337675,40.31707874367039,44.05450693141265,40.96873555601903,37.115732139520794,32.95299002745107,34.11885210897894,29.955514752849254,33.21959358510412,29.005002298111798,31.134741564785298,29.03163269526946,25.70641824828111,26.064733196053496,26.863286290922215,26.97749580064824,31.211733824477335,29.634997506632008,33.36047114589308,30.658876594601104,32.21972631702515,33.732333483665776,35.19557718305331,34.75325193637501,29.97063832225047,30.662431884566328,32.34224683200768,28.828022857211625,26.142750221678327,29.079112051302904,30.92238240692616,31.34390398323683,34.06308222986558,36.509875093616536],[23.733933721485865,22.689148407773207,23.66915260933637,18.396805478079486,22.777613001352513,23.33694468357261,24.818433582499882,29.052110609394894,27.351844030191184,27.728466162743796,30.041503105612556,33.52271220648364,32.718414802958726,29.59702163687598,34.628176962305226,36.599789877600415,34.114423035913774,37.64054393467748,38.08325101735971,41.42151333680821,43.43946381259262,46.929775528327525,46.73459336946678,44.958744628103574,43.3571750745251,39.52880151662011,38.77297035919054,35.888533485313964,37.95042790156982,38.78231143996238,41.383511078430374,42.07315763012806,45.45518418685995,48.526029019870194,46.3678137562791,43.82778419777369,43.725690469000426,42.86740652840334,41.971557983590984,47.31460033262807,43.39223211208615,44.34931710998892,48.81966579737314,48.22819257445367,48.93185471572102,47.47782005396998,51.58471454502273,51.57292543978723,47.49274107352193,51.60682849426379,54.777430460994786,54.68397174781967,57.470111676344985,52.58149641430483,56.87890350951032,59.1632880731892,55.234779470747625,54.876125672629286,59.495759181817164,59.08533410438797,54.89808973831331,55.795942739519056,54.03689821732102,54.58921141565852,52.29722122052375,49.34898041557147,45.52786776396923,43.434265589909735,39.685587710158764,38.22333247700668,36.40600611006016,37.95643705520343,41.015189359676775,44.0491717062629,44.75122055195526,51.06808224209439,50.20326844474857,53.581434354974036,52.71104247393109,53.49696664564702,52.19468956530976,51.37373409566165,50.07357834702167,49.86631478529666,46.24197412442878,45.778732134149976,47.09575663837315,48.700201899079325,47.49903063699991,51.10638678492313,48.17242521401103,50.58839519205053,47.43865869850671,46.047727685055655,41.45652095526451,41.489543335513055,37.23923787234056,40.9892893335299,38.990839628362934,41.202849384860365,42.5403101302457,42.246904310559735,43.42055236457513,41.89822129556857,44.27538209701747,39.826783627640474,42.43730359236474,40.538843386679886,36.627880786852884,37.55656041265001,32.89362583818126,32.46738075536046,29.38767148766228,28.748463062554393,28.91533448249258,27.65348287195004,30.713444826364256,29.924204892934576,33.742534627801646,33.49106011223021,29.9824493257377,28.08126074852321,24.690995717816303,24.143475461496553,23.64174293898945,25.411893106774603,26.524003909326257,29.44011505710031,32.17405134209229,36.9967906547016,34.70472796146285,39.28780366070927,39.714622095820836,41.76909166665349,36.83013651304188,33.49595757704298,30.42919607034917,28.44194273650136,26.2710795472696,30.051300830278645,29.419000920692632,33.994650151670065,34.43349929042965,33.041679159931626,36.6855753910053,36.26901635801276,33.308315835503045,33.75796093638914,34.08734735455642,31.9668748527796,33.93071219861532,33.75451783125156,38.37369740407816,37.68696554137904,38.36823845889387,39.2980231705159,36.978753960906936,37.8361903512589,37.89045783298905,37.55712584090833,36.10782692721337,38.57475185649896,35.68365285583738,40.4328002208474,39.65872952828775,36.155069190293815,38.47506419442183,38.8064276958529,36.17789744119283,33.09588386553253,34.47114383649752,33.63384633328359,37.951972756863434,40.242073702379116,41.823508169664144,43.463288772874954,42.0646138924693,47.44223320750011,46.28902542352714,47.22020601429126,45.31033800703653,41.66819265821503,44.907639498483626,46.43405862537839,43.50406810544829,46.261233925568504,44.98563083260045,48.9420828829514,45.635763176959095,47.152886370410926,46.839570797059416,44.63962892797943,43.89156428917541,41.66087851135715,41.708570701874315,41.034195449254575,36.41814693429602,37.99912030647711,35.24956714264538,35.45935108553558,38.16014290104731,38.35273234912867,34.38872720004191,33.72114203410589,37.37064356883863,34.65022432029875,29.71173408205403,33.718607435855006,37.50848250397698,31.733599368030404,31.102070695069727,34.714493143759746,33.6145231859579,29.05170443709945,31.72641417106533,30.283553333071517,35.98836462828463,32.626605734673085,34.6469979755326,38.51450362298941,42.357434790129034,45.56121237819307,47.245447331142515,49.021678003953234,47.713624363999266,50.43671615677418,48.51404209076025,51.444387824622815,49.526425650831605,43.84994951893842,46.59825462545742,48.333624748453154,43.857240788191405,42.15317448140403,44.745807607023806,43.28849368196789,39.07531571631943,38.81330871755385,37.26283294832223,41.26972288919183,44.310195943464585,44.52673319061299,47.17869315992749,50.240329475554184,47.900569927467366,43.775182433115475,46.06975724937037,47.152967714795075,42.32988005978436,41.29282053538153,44.11632058292195,42.61098605525803,39.10498807894672,43.1893462492271,44.13833393694514,39.94293112311133,40.20347469177882,43.88926598615915,42.07352943962422,44.93256960155861,44.06498122958771,46.700358507411124,44.6989221254098,39.39675463107251,42.330789412241764,42.667689814012235,39.3255053166846,37.637496826249034,42.44908514122505,40.10637723253087,34.90695751055739,37.08322651962084,40.5691247762602,37.28375066394741,33.50949974791303,29.408574808016997,30.297860340170235,26.106032844191983,29.34795618274899,25.34677141124536,27.806146545548316,26.083920745254208,22.42500589517267,22.800461477305,23.389826592673764,23.88809376556037,28.27867368319602,27.26839695338733,31.19694807810486,28.952743387162652,30.1298167784784,32.041305207909275,33.2992726654676,33.41899806938708,28.507158491094387,28.76040667440842,30.904213861815748,27.84494350704754,24.505022076400287,27.421089696951032,29.82224911556212,30.511468398181822,33.444135100821896,35.855390312967415],[22.375419434570137,20.765547693328386,20.92662164957344,15.540293046710984,19.153939490366092,20.454036876678654,21.631051626897737,26.087586194429594,24.78535047213018,24.9092228504149,27.58196166720609,31.07049133213193,29.71740004753112,26.901272975577726,32.050174653040806,33.71797350801377,30.947987734217673,34.553940543743316,34.96114487295537,38.035441065027335,40.13872410103677,43.42575669254895,43.36687867559911,41.516624448515294,39.736085195769505,36.03995218407203,35.07527034978593,32.288594525727355,34.53435853983282,35.45042616448754,38.5668078491825,39.036613271760615,42.66741849752206,45.64765570610253,43.20507681780754,40.5469734980632,40.25516279332946,39.182627759034816,38.08521677728743,43.24422883404147,39.35312213278087,40.60289698864082,45.02537551257339,44.25546450108345,44.96132392007075,43.37218773852219,47.48182973768922,47.497183012682044,43.29337660056482,47.30202644726121,50.53080890733961,50.42603952990631,53.30645283960874,48.48542940213962,52.848363960301604,55.17955871816927,51.32421645355063,51.0878257782974,55.72681098410744,55.29632807747863,51.27000315454551,52.40918251968732,50.80295484439761,51.431661046587436,48.92761560614707,45.96699156681138,42.47243707404274,40.44251761425978,36.93691604345143,35.68929757584563,33.99766351526667,35.91540246917141,38.75657659048703,41.55791297486416,42.073789784933034,48.390375338486976,47.13984384687932,50.58192346505537,49.44085894165853,49.99124887944306,48.56119014285499,47.500825562409915,46.21333824821072,45.77354064001201,42.14852653203252,41.906106083661506,43.374214917244245,45.14679978919879,44.13065521486922,48.000085482705295,45.27538290762925,47.98589545593272,44.94000521881495,43.56793693646119,38.94672161144162,39.35449545782326,35.06012853693458,38.46860819225115,36.40033424208136,38.71828250959406,39.55651816337067,39.09268297203435,39.96415505989599,38.310174070018,40.327203030488356,35.91893695140126,38.50725578636212,36.46534778250484,32.69005440425498,33.77326024715854,29.214791902035714,28.584654718580644,25.7853551568122,24.867425610561277,25.377145178568096,23.909286785467025,27.14559036799845,26.26658079403843,30.475692270111264,30.339684730540405,26.940008029985478,25.005037472224327,21.254366399702572,20.56510821416531,20.110439120645317,21.356923779751412,22.741964483599556,25.385792647733467,28.08335756955257,32.820204502111665,30.415645025351115,35.033605654318315,35.298933476830435,37.45039816751214,32.403431867628754,29.135671355117953,25.975287078542802,23.996623522917435,21.901716956364186,25.773670081317615,25.283386397760747,29.942223194682185,30.520161347870868,29.017537557509883,32.66239984058354,32.45308438074551,29.433124284239916,30.05127507172028,30.3532012661163,28.572824170283305,30.613817562810627,30.952952097452574,35.59172271258625,35.53175116609337,36.07721830971001,36.55607457003698,34.01676109666486,34.57335970637477,34.500197907177025,33.795732157288015,32.05050774302818,34.644236931015584,31.502933219418114,36.27237074894815,35.28635539867972,31.71654826687906,33.95311270413293,34.28607189195243,31.633990417019515,28.55705322945281,29.941815316285194,29.187887248417862,33.58466326280408,35.989203062213335,37.731718260878004,39.51517472198575,38.3422103931783,43.66313562640906,42.285353536639775,43.151645248601525,41.04093016637619,37.48060715769694,40.54371513633753,41.98381941559049,39.05026895156918,41.86100919557397,40.705380837137234,44.561972117311065,41.28552585715527,42.68506146742005,42.32380538685198,40.123754507908195,39.34613555981371,37.13447655230959,37.226785543152175,36.632703900263714,32.03510926007154,33.76467707185397,31.21337333603929,31.498008348366106,34.42870932951775,34.752097174490935,30.76076942719792,30.235940964134834,34.10132291994596,31.538175690829323,26.6114064889204,30.837003898428005,34.79404648273104,29.245002601818342,28.800492981012944,32.60298025172975,31.64369457328793,27.317087500686455,30.160792920903702,28.386845222358975,34.21760919789568,30.50078367556694,32.19246728482954,36.21601641861738,39.82972874470263,43.31389346437381,44.642423214658294,46.172831893805345,44.58382198580413,47.11769286496316,44.99973522330131,47.82178968904827,46.09074896904011,40.311612923219116,42.832864909905865,44.606273643888855,40.23008123343601,38.326813620641595,40.74311809560916,39.50570814348884,35.36372313359672,34.704580707497556,33.40103025193606,37.21953052306974,40.35785610419037,40.83848811886154,43.433055114641995,46.7092358957083,44.27226908357504,40.11672897737735,42.75269658751693,43.883749593738514,38.99922674438172,38.15203124929781,41.25370531736349,39.88894261230486,36.414559600580006,40.59118423386392,41.78217906036391,37.791397621883974,38.012880431026474,41.67173528645044,39.6610861438283,42.233193654315194,41.039345805018584,43.623487460729294,41.97420537585279,36.52825783697933,39.12480833477635,39.69976152463586,36.49603586068761,34.38534722887876,39.24386912282689,37.2677763583392,31.897091966756175,33.691966738704416,37.43958487689945,34.48378860800254,30.588184573066922,26.517115312244055,27.754616981499467,23.75265190045027,27.291445556593672,23.207523427667947,25.22404818842428,23.63833810324979,20.196179963196133,20.026937444993447,20.483705650660838,20.458990824002,24.75181378168475,23.552617461141583,27.259872115066536,24.98002553861571,26.79783020613785,28.820036319287272,30.42743751696275,30.711574641322095,25.608922060348778,26.412937380979262,28.794968907573285,25.33140993447091,22.35698406417327,25.88262692785725,28.396182985965943,28.736531322301992,31.63445509645347,34.158973840100174],[24.18876160358932,22.568606131516628,22.42387606658153,16.71788867210961,19.930540548311534,20.365454395916167,20.927447818107108,25.17757733665401,23.183260763583124,22.80610963618112,25.122931729513837,28.88923100379827,27.53280611392755,24.218636449528944,29.23319196349305,31.16530454939765,28.42922210012874,31.790075759206132,32.075416223490215,35.45888899811455,37.42047325812384,40.94902520008993,40.744855431021755,39.04523741271475,37.43722163521592,33.55322070436104,32.884198657850256,30.02771970567895,32.17372271391538,33.24631690959747,35.76987094155162,36.734876111775975,40.170125753516864,43.00534353943277,40.800641988256125,38.0964021654379,38.223460463833845,37.12988097097251,36.284141980057825,41.74438942010001,37.72730413122262,38.4741657727265,42.96470579118944,42.50283013776906,43.249007630322616,41.98273294237822,46.11477860525831,45.96848806167829,42.034121089625046,46.36241940380099,49.39383602231945,49.31703343102431,51.96715044710343,47.02221559550534,51.293952062856405,53.466971526010944,49.460165954126204,49.07146278689963,53.672291931624166,53.22619489613034,48.961025293267916,49.81402299429112,48.078851998477994,48.56417330841654,46.28594256736954,43.37116407819815,39.51009189709151,37.484630427510034,33.72055872912857,32.40235418388234,30.549343072057393,32.2242703598015,35.25134395139793,38.15026115373468,38.90037595612596,45.20698079476453,44.286208383144974,47.75423555767779,46.88015752271969,47.65345752155291,46.527743839353064,45.77275096445225,44.71874545202248,44.589557532132524,40.858532859484804,40.29413214398223,41.368105701788856,43.1099302676131,41.68201327471339,45.4114107034809,42.42378845239875,44.87115497411895,41.8433799300749,40.62539392319621,36.085341384137294,36.30396929351618,32.089733635763984,35.93806684997226,34.16961680994765,36.88643507688622,37.68221856449751,37.84589494091677,38.546016692133925,37.49587901489186,39.85608250632671,35.698707938288734,38.72328580239616,37.01349521598593,33.387601171146194,34.00125364922252,29.41244494145943,28.236659780212115,24.991297712493918,23.857461389584316,23.541800952106133,22.0593880693626,24.889730048577672,24.030848122346665,27.72085078522428,27.5361380372672,24.012549789772553,22.256533789291524,18.83003478409891,18.608509416325806,18.645507827912006,20.715378524245533,22.85631733581893,25.44960408299224,28.519250141458613,33.07373228800617,31.309633167720424,36.00492577830975,36.03978515937029,37.77374642708052,32.761116539892896,29.134598760547572,26.675612537256722,23.914240527091422,21.30975915926428,24.856823850086766,23.98586707584895,28.47943991118328,28.684344499056998,27.41817991093049,31.066204942306296,30.64057669262054,27.787742903880407,28.479178960488852,29.19884437813007,27.327833988760137,29.842029314971764,29.801833873008896,34.693046303272006,34.4724799224064,34.544363267309535,35.13115486911998,32.437328853192994,33.47270875247652,33.0009674383342,32.96732826954668,31.189902207950418,33.23362872976412,30.367885947521582,35.081519581446386,34.62540144698544,31.25976433900508,33.992391418623185,34.54013603963222,32.27535572706218,28.84269982670408,30.213496063543687,28.92758790427417,33.13744773739008,35.31467311114971,36.75994900486198,38.55837589694333,36.919984387281836,42.420478735451404,41.13277179100899,42.30531598105705,40.382447483375906,37.11237043517014,40.507403147437735,42.066137292322246,38.96410237275503,41.293530446997856,39.695158176952,43.82115527219993,40.522444677417276,42.345454433974155,42.35618381227035,40.091018323171305,39.810328881521755,37.81370243385835,38.187431551941366,38.00454586106843,33.44232639602954,35.305517112007756,33.029917693437596,32.87568215307234,36.22974627667311,36.17175866970724,32.087290377404095,32.20793426133875,36.04591732642552,33.145769157120895,28.708614701583066,33.12338216777315,36.686130099835815,31.04568859505336,31.042504547755996,34.833039184065655,33.41018628853706,29.40416468584323,32.64061608010735,31.07614498085572,36.906918452024115,33.709154885585306,35.05957278194042,39.038983110043446,42.771043558909575,46.341437375295854,47.65029290349531,48.8475700462529,47.11278010011061,49.455409331237234,47.019928711892035,49.99342517037975,48.58808066578726,42.62668888773954,44.918375824468065,47.02105025148732,42.79875670257363,40.598211346269636,42.88784935153621,42.13132865692344,38.042004613857706,36.79859457100084,35.568503160151906,38.78379403281724,42.062898892661565,42.577896540715805,44.82308366213024,48.1008951953647,45.30038847996547,41.39928446297956,44.24854066907815,44.98517499791844,40.01594733598787,39.61454296195715,42.58600403131198,41.01361900487979,37.8337872478063,42.282795960392995,43.2630132294332,39.17502307306028,39.88270554132614,43.6611780381324,41.83871466818691,44.35205456451279,42.98149449049245,45.82143115965245,44.421759694521974,38.8442547783181,41.42979346221339,42.37766253211645,39.2294687769776,36.94916642632318,42.05016801731067,40.394625424423786,34.89775561857781,36.54201213859181,40.602740870063705,37.886931980010864,33.924262588785,29.75158505273628,31.406146179124793,27.41220419197397,30.822160853481527,26.43952741717034,28.013045474771044,25.879753188009936,22.923861856937815,22.84053359287801,23.680897197901697,23.229708914386688,27.235610034391527,25.29050115699161,28.763858874297572,25.905443759896215,28.02691124671109,29.5221946459899,31.326429738080353,30.924249681132864,26.003706999876364,27.282162269293227,29.099655671600217,25.129978027527745,22.90671490461293,26.433434228551334,28.314350795937784,28.35088861119514,31.023935131420018,33.596592156072674],[21.910288932174264,19.856174824582983,18.91160052626974,13.215680449975851,15.59351105308864,16.328947798395767,16.587336613961412,20.975685792722793,19.367983068812105,18.947098069804973,21.646153813325242,25.28625390137756,23.613811973135075,20.74129472446725,25.897977781458167,27.51672894452981,24.717417078429563,28.3611445535815,28.990401102047358,32.0246653967434,34.30537669278976,37.67940840364081,37.81464678960332,36.22978707062885,34.23999145876743,30.385907638653322,29.28776945173879,26.2945109308714,28.37470042836793,29.269119457980114,32.34140586176961,32.8724588789929,36.515969396861244,39.42714271053459,36.99060041532561,34.34166028087892,34.13214551434258,33.1636908402461,32.2569963344659,37.647811090381026,33.886821280964604,34.848892896286145,39.32070375547157,38.78290511574347,39.764154380360885,38.47158971477318,42.63195308966555,42.27814736300364,38.168581199619936,42.53326478252391,45.46185973855125,45.246239350300954,47.92542220779089,42.947978263101064,47.183527602373815,49.554481340565374,45.6821605538971,45.223663071767426,49.86927529190359,49.60769652840453,45.46119403617467,46.43491281477394,44.715693802157354,45.51488964847175,43.078628620307995,39.97798906174384,36.533803976527096,34.341855192478455,30.975824890695108,29.628994356479073,28.09344656835287,30.23804456691152,32.83557339641721,35.65823313330966,35.95791257852835,42.28417666442951,40.992749974481804,44.376651495136485,43.25957429544884,43.90215651090399,42.49843876559298,41.62206168316401,40.36832887528897,40.18661368223219,36.53944850198103,36.02974211079606,37.38073341117076,39.044392813438904,37.969238851687514,41.77065859764384,39.05314629641589,41.81550136366111,38.77787357819627,37.41504646427151,32.80168123100942,33.35125891150566,29.06496269708951,32.431350511409576,30.481700307563692,33.12928641769938,33.63792019809028,33.54637778718464,34.16187060724204,32.938540326200965,35.181901507588194,31.014073277036005,34.05554086870614,32.37881986953204,28.80994626454568,29.37889706258675,24.834207493824206,23.555563135631807,20.415536156489143,19.25780376805328,19.29538807171433,17.90601886270706,21.09574673255197,20.573809931106457,24.728975256151024,24.253406527275427,20.88724866492566,18.805812982679928,15.175762888713692,14.444125362843952,14.207619871603685,16.04525450287122,18.24712355290476,20.76179477408917,23.87661207266567,28.4025941542278,26.812503321223993,31.508643071861083,31.575534249222276,33.1524413773563,28.240098699500486,24.543869558548007,22.27671590548568,19.503597824086647,17.06685962878078,20.60528265659326,20.393495060576203,25.08149890607645,25.089411647184534,23.467852992282538,27.054363854772205,26.52016415799207,23.549345608015383,24.107779851139316,24.660974391576882,22.90806401253856,25.400292605534556,25.71667987848544,30.585285449150312,30.855434100475637,30.873027273826985,31.11207917929448,28.316807488582814,29.092909938394087,28.655944858993518,28.3589989592464,26.594654843494006,28.850297114430088,26.060322033680627,30.782599648299893,30.33324928605104,27.249637046444676,29.841022724614554,30.712036027735596,28.370358114045736,24.853034339949637,25.96881065417384,24.5735671420818,28.66256345036557,30.780239521604038,32.230031976853425,33.97746701049034,32.492809676653735,37.9295990718203,36.64686833378654,37.721570643887496,35.85750089443749,32.45183836021953,35.91331238181122,37.57008223479704,34.512345637624435,36.97673793665102,35.50584785221829,39.731261270962136,36.73130292614347,38.347949364282364,38.40562855038474,35.91870458737567,35.637639532105055,33.56672814285682,33.93302355567999,33.859392139338915,29.298175216656773,31.08657350563711,28.92359082487301,28.528847764221368,32.11133326307608,31.921125798738245,27.814475244952245,28.289280565287584,32.173027124353304,29.23736092182461,25.09451678679685,29.66627108513535,33.10542024430676,27.65853322416763,27.9844117254201,31.84763707675503,30.371767491286477,26.76161440075524,30.234008814573237,28.545858518702172,34.37534426252403,31.304594729459787,32.179735207179924,36.1781248055949,39.80684047161202,43.59126929893575,44.66050075940304,45.49714050498303,43.55394270188215,45.69389917011039,43.02509830407406,46.05371925472665,44.908826050210735,38.824764077187496,40.92353176870534,43.27448144883513,39.19592152854172,36.76326389893141,39.003612459595956,38.659585179214524,34.601810219542756,32.95421571830582,31.676704447194638,34.507939075931226,37.84691693499219,38.408832176162164,40.48211003438075,43.823834726317635,40.87785858675589,37.055838714653966,40.113775288063366,40.74677121489662,35.74115739306415,35.58470768919064,38.664740363397314,37.13663062311533,34.08725617830435,38.654095917352365,39.72770988990227,35.79934348585447,36.630304477272716,40.39963511727967,38.533120607942685,40.81306826719169,39.181419244718924,42.09993360780259,41.03006275779803,35.345576921839196,37.734396389308536,39.014863876036806,35.99693405218588,33.43787225776716,38.70318272885565,37.4586811231694,31.843745117308874,33.24759025015094,37.6455483812135,35.29175099180729,31.26582026103391,27.043867635040563,29.306237873487923,25.461146051829505,28.79186628978638,24.20792955778102,25.131162395184877,22.82374946537354,20.39880940692884,20.014984227657123,21.079773843789255,20.05448702776953,23.70676741244397,21.23806273541735,24.50548664447328,21.41905041847842,23.903664328292052,25.290894791924927,27.36064701984736,26.945324830128975,21.958269639255196,23.76403407870626,25.63419557026312,21.310366489453823,19.58046622033982,23.570030435728015,25.424872236466534,25.11700686076748,27.716374962401005,30.367814259166142],[19.277994725458594,17.654360534967914,17.317390022096486,11.630459929949295,15.086923657912399,13.944761415427216,14.720408001770398,18.65208354007217,16.510699788312024,16.957111048008734,19.263666058163334,22.62706378110882,22.104625534811085,19.210764689765924,24.269361954602605,26.18277073990915,24.22456920700335,28.153586124470383,29.60633384410783,32.671606601963006,35.3168866547669,38.93131306712076,39.354195344307726,38.2325358941284,36.024675047353064,31.914049134339287,30.598518252537527,27.10735886180517,28.421947271110998,28.649877106195465,31.242714769200166,31.523899227270896,34.82567290304974,38.15814340732114,36.104678733961755,33.961336445607195,33.62660204697451,33.59334256067624,33.18573113245783,38.8695256354665,35.595101743322964,36.131052696421,40.637903368809866,40.47885010522486,41.912876690796836,40.96134962733185,45.13369269026684,44.28937987691862,40.23004317569356,44.90667187700217,47.43676395397975,46.96102033013011,49.39711762723867,44.212200409303,48.13621037802647,50.75752170519308,46.98580674420475,46.028930981980736,50.664019334130856,50.8470989194438,46.50976560280996,47.02506843175335,44.90697811189057,46.12511932700558,43.998086356627354,40.58610029408091,37.07816273329899,34.36924947206631,31.13009568682821,29.066288384971383,27.815602270375337,29.820703075757176,32.178031425520246,35.53596846039578,35.44221445725796,41.78696297309125,40.85778388048303,43.854854659540194,43.03312833480654,44.089943678210126,42.50493660119345,42.095524775111144,40.40855413101094,40.80438049810016,37.40020924564758,36.35255573345988,37.80237442508839,38.776327759636835,37.89673443703361,41.03153305592279,38.27641275104663,40.81761223177163,37.46027364592064,35.737753302209484,31.060306101636655,31.17550681158406,26.840786895614727,30.24654646301355,28.121341398975954,30.321134696354765,31.739633376808847,31.645107113343016,32.996026951390334,31.82909340765443,34.899855577977185,30.63726055651517,33.75220463435232,32.57931668020648,28.751826979185505,28.76180871706841,24.02166064299355,23.239174774273366,19.495551651889595,19.33697283846112,19.038964878442922,18.652771900180714,21.86294366196414,22.319937530950334,26.058018759060477,24.643446302215366,21.339265355912833,18.743127682867094,16.128878167495845,14.833598302067887,13.709839487915223,16.69896935748195,17.80005224094215,21.01596121454162,24.22499792553234,28.892893516418148,27.964299641659807,32.50987403935206,33.11126700754129,34.09400311621888,29.769892642257602,25.8660814076112,24.216415881337152,21.632618195594734,19.515753283449467,22.616408557465537,23.25680041906945,27.893669537941697,27.150790851328384,25.223659359631508,28.555470417146854,27.187847403080145,24.25588326138689,23.95473220084638,24.19605091535367,21.599655179592137,23.73795351636899,23.148086490457054,27.961834695285223,27.383037396528763,27.653024434091677,28.533167251951493,26.19981464998665,27.375629660246183,27.42728874829063,27.73941605328878,26.98024114698868,29.250987613327343,27.45751228942954,32.00409538701358,32.181929059830225,29.89179988884774,32.36314075137273,33.807871462010546,31.385559383204544,27.797462611603724,28.389098734872494,26.645720741899748,30.162603271954502,31.77958774492095,32.73174284207459,33.90615036764993,32.07903247981854,37.48382606751498,36.89771792499546,37.95080373768961,36.824654578966026,32.95402594992384,37.009812807809716,39.086358219916406,36.17491926936609,38.72401604694579,37.19285697222033,41.83587194098887,39.382504993857246,40.89540434871316,41.17337622486859,38.287575627150595,38.07548071954192,35.82246018049529,36.03609294806655,35.93688989915763,31.33129729629426,32.55862334998996,30.057663918597832,28.989734551409132,32.39406294359672,31.554823001173645,27.457582692176473,28.26036905384688,31.69401047450574,28.180222117816488,24.549881898977098,28.979007446338027,31.738441431693694,25.945246179528233,26.533173806251817,30.164143508287857,28.07597303793107,24.62457509249181,28.38976351868617,27.2553812974857,32.93814961396883,31.005693232713526,31.700734660833213,35.432412438661856,39.512106408189474,43.099442321616415,44.57124749017244,45.23723899423098,43.538969039835514,45.74849180444957,43.05591632673478,46.51372525385711,45.44197203877037,39.30731390920645,41.61125617521206,44.39838477013935,40.327447947556486,37.91476273093563,40.528159485739295,40.44408146279935,36.22002799020727,34.798818629657575,32.76550289665669,35.35062857115707,38.55043766059093,38.50056671136248,40.35828889369223,43.2606985002309,40.236848885028635,36.672656491455626,39.25730349233064,39.50607169820895,34.556390291587995,34.4228429366115,36.98477368187414,35.11780777185793,32.25666807106147,36.93551093820012,37.546138763589084,33.32792135098118,34.62941950845407,38.53944371092858,37.08666523542959,39.645446134031296,38.28325686821612,41.56186679007803,40.285935010164856,34.65162000048194,37.55260998475736,38.95527999605455,35.81021223984596,33.713220774556824,39.284568933948805,37.96589794041348,32.4128115220168,34.32162087704702,38.828857248518055,36.363979582661706,32.40102752967523,27.88024319895349,30.584271139274875,26.429141194169127,29.044048578415868,24.02039482279905,24.741640531984004,21.577675597639125,19.586559324805595,19.984277907450092,21.87655151259122,21.087260967528056,24.47306342731283,21.526573007230972,25.062129811808948,21.69615546783027,22.938592808314166,23.77687883019039,25.405982130002506,24.40275058040837,19.77435218602038,21.122082973967487,22.394532700471082,18.328154522406397,16.50675547385644,19.94353197419961,21.381157235563442,21.26238245211194,23.878014656006943,26.492223780188358],[19.967871861801648,18.035163206126803,16.681653265394743,11.442201877895004,13.247917480293209,11.33666393459409,11.02002993383356,14.725681394076917,12.267530800805645,12.283197330451655,14.700037218584374,18.14724676354701,17.401849377433482,14.611963049533434,19.71592593848004,21.522563048977396,19.675019063305324,23.74692614848994,25.597678502807703,28.481559997015786,31.367933722097177,34.979970503524015,35.662719181721314,34.82176157748407,32.37275310348242,28.203965263370133,26.656504144432468,22.95191793136958,23.959865093653985,24.005452011588623,26.66521706112238,26.824045401520166,30.166921890043373,33.51107068906396,31.430857877762406,29.376326153676697,28.990357675096675,29.196481013358223,28.98896318011363,34.790705618481475,31.781795465839576,32.10999075642988,36.597228214093015,36.622339057644226,38.33576814251816,37.62663156256018,41.78175517789588,40.60130559644888,36.62027590030909,41.51500693865166,43.753284307468334,43.14929815306988,45.41061704171965,40.1331859727693,43.90340571945315,46.60695184407292,42.89247848410144,41.72428443502235,46.349383406278676,46.73243846705037,42.35914372280218,42.75106157011065,40.53499730498377,41.99552555591053,39.91114830818201,36.341659827833986,33.02147101622683,30.105635230069936,27.153716609737344,24.929115025556257,23.967882039398653,26.262700998904126,28.231424044359574,31.606208856946427,31.162210258055783,37.492962942848486,36.453612714799725,39.33749590723164,38.48801977865928,39.606161777286744,37.95202337376957,37.69192319617043,35.94330641660091,36.570452076711334,33.228997666821016,31.942506844779146,33.381710712418304,34.17117142288404,33.37521552259906,36.4042265727252,33.73959270178962,36.39365096489342,33.017884549291004,31.2237846662959,26.519423211167386,26.81827628710772,22.45597999022606,25.669894119608983,23.55937620200489,25.991209029836845,27.127407566831273,27.27696473948582,28.461858666631027,27.618494422121046,30.901341901778096,26.872013407518384,30.318215904750787,29.500365834913705,25.911901960553294,25.44005856164758,20.81154835873105,19.520270729601453,15.459819479711587,15.300498750455656,14.569201200984192,14.592810418323946,17.765081468608457,18.829636557556018,22.451432111513082,20.533510012020198,17.41455179969989,14.515077176740624,12.388362323257136,10.730942254996936,9.444083316191847,13.22466017605938,14.789940686583925,17.83451317132564,21.29217856336536,25.656085465991833,25.494694033291427,29.951320830827203,30.443461338373456,30.892564260459867,26.857054912359803,22.712422328865962,21.951681834951874,18.943674278025046,16.821617110244407,19.356675418990683,20.517570579013753,24.991714657924145,23.689237848398705,21.582529142471614,24.705166996641513,22.9357531175365,20.078886709636425,19.515561179636887,19.871521404885996,17.20404411047432,19.69344639421199,19.063054187304406,24.064754351412063,23.866061556192957,23.653394870712876,24.269592697226997,21.721122512472068,23.071170743078003,22.87351741443912,23.553395732781887,22.944760516133673,24.958765882578216,23.665576224946047,28.050085069680954,28.712023679691693,27.012334789665683,29.608364716259175,31.511233043007177,29.349186012993332,25.577655796606855,25.832689651723367,23.61509686339047,26.673997063565018,27.954595692166595,28.60062392883418,29.651434117678875,27.586406544139987,33.03487392288739,32.59908850487723,33.77553411089668,32.93864422459472,29.15809165681343,33.52983795162927,35.79140162551084,32.86428297024706,35.16076577998233,33.45222782373962,38.35480343110704,36.25687000755639,37.830588100420236,38.41656172029396,35.304238751567226,35.4442519125842,33.30825758350276,33.691496685164466,33.972775216300434,29.517267230018863,30.697216216198704,28.550014439886613,26.935671776026787,30.75699016656752,29.506316859577353,25.43372382286625,27.048974194345156,30.3868327742655,26.677163683014612,23.85104509859548,28.382989370872576,30.65838593784424,25.167483417518795,26.368504950960748,29.93532814276386,27.53784638569858,24.83020519806947,28.92627309454559,27.843517583593364,33.34648531079327,31.864494712022726,31.925065781737793,35.55447652099083,39.52437619302533,43.289976884062995,44.509408691436,44.63817623155774,42.68250845752488,44.55069070893647,41.46848888903674,45.03430510646394,44.427006370673105,38.16456003381522,40.10026804996141,43.285814005796084,39.51180813852005,36.74982053587514,39.189526706794204,39.776434502784994,35.70318041345055,33.59890655738135,31.60608657502988,33.348613676101095,36.63123539272206,36.63228052708372,38.04118716817995,40.954712733620575,37.5609820769054,34.325111205726394,37.21166172875007,37.05598960651354,32.080351587853976,32.53141834092159,35.046491172699305,33.09126144006651,30.644475416597192,35.548866339943665,36.085150826635825,32.03104924700929,33.780330267221785,37.688400708975244,36.34846532782375,38.59985216886055,36.893528285881786,40.368158749957615,39.585978709129456,33.87840536976458,36.52957586053591,38.452217593868376,35.5269812882835,33.120091304005875,38.865493424022894,38.129646692122,32.53146489240357,34.08383316394582,38.963134655185556,36.99568446593666,33.038261230591765,28.574166827812043,31.889069064065843,28.005967028455352,30.433834532858892,25.29682577791999,25.17119925928213,21.65849000452882,20.597053366668717,20.749238565737166,22.91872167792831,21.465139726672472,24.15863820439363,20.35309061981079,23.344503624216586,19.43749110140651,21.12326677135011,21.32723989658495,23.329609050563825,21.707676408488645,17.35317934619393,19.6425152774399,20.394534471674095,15.571481391169916,15.206610830296661,18.94949267138105,19.71472295851616,18.905073109633086,21.16426877039114,23.86916602219917],[16.25403593212535,14.669138678365291,13.966942783835819,9.180650488106837,12.245855268871338,8.955259074726674,10.064373349787166,13.347142685890509,11.2371446408161,12.973939568334648,15.233563743289132,17.861547979852286,18.33636053680121,16.27737404953782,21.10739127408694,22.829698740244552,21.7803945667834,26.151541214792733,28.68560659205991,31.262923552141597,34.48136314808311,38.02334006406754,39.02195499976219,38.40664184233045,35.704676577835656,31.568757820977318,29.660835629972937,25.74213921735259,26.197908748879833,25.51899763024403,28.248027781336248,27.691062160229865,30.83811959160527,34.63834841670008,32.712994856522094,31.186434045074495,30.30916602750572,31.333292340549978,31.316168808113858,37.00469368407144,34.52579395136218,34.937194443519644,39.33238226075347,39.40353471340704,41.41362212894524,40.714264606571014,44.83464506957198,43.41276387994592,39.28916222369552,44.139280446545115,46.203013964031705,45.36490899501165,47.5971290750404,42.29430695843381,45.85075767896395,48.869859169230644,45.39220220054852,43.95445081622653,48.560332290590225,49.31416072782718,45.02064966263281,45.27511399754341,42.868873980489674,44.76548645844863,42.76681082522386,38.96231122801687,35.94741522159275,32.68528364209176,30.11926884490206,27.46512888681213,26.888677729072302,29.183239040881098,30.771595990402556,34.405536660591,33.46405332992718,39.698026692872304,38.69022979334429,41.184308628618666,40.36224927757746,41.61960568818373,39.56842465486061,39.443695086804844,37.13580332488455,37.98373342962792,34.98531917089115,33.543769503934605,35.3924595013044,35.60709155437344,35.3626110228238,37.8965871456148,35.48447034353852,38.137648469216884,34.53502316493838,32.317726675363296,27.594186454474432,27.676541539621883,23.331209065666403,26.015422941962314,23.46755340182954,24.97341935946897,27.033323968651885,26.53671777111627,28.590526728662837,27.22565547746892,30.943245741404855,26.63974074441626,29.742432798085712,29.12870070973036,25.199622118479855,24.58593127078113,19.8313684418411,19.58546977671196,15.502487076600287,16.579615373333606,16.47756222099358,17.340760934971648,20.723985459706,22.38248858815048,26.020886633158575,23.56302551246374,20.740044457933728,17.51033639951847,15.96259162163881,13.647965671683945,11.192084667341476,14.750241749176135,14.394257427303332,18.102926341273566,21.244767454231447,25.83885101534589,25.76186699205493,29.982453459178572,31.12654776455683,31.375209809534994,27.87195023248387,23.907067783483974,23.107916482417593,20.940112943567282,19.524803486885865,21.975378960837247,23.979995090213006,28.486134234385943,27.002521884273353,24.54094290755055,27.396075099609263,25.210775570589476,22.327382487628537,20.976017273930466,20.59901086367792,17.279346583104957,18.806566741996114,17.624103044199416,22.256805907241173,21.350335392789592,21.91428250562344,23.06546034338003,21.201312473538874,22.4210489533683,23.133466486187874,23.711006159616026,24.087106637773527,26.582567896207397,25.899471877522732,30.103763833627323,30.81583147150967,29.584529426808746,31.67624829301605,33.8517928123987,31.35414034598028,27.816883394041017,27.672217847511472,25.635629078503673,28.338695954298267,29.37077520231499,29.837248902825323,30.344366880259532,28.4369555367922,33.603392308601535,33.717356230486715,34.58797465753424,34.24762965888242,29.849517009766856,34.42321890463364,36.93564781968631,34.29340447895847,37.030818013399916,35.6546456429848,40.63072402095466,38.99483955366776,40.1494720265,40.62494190501668,37.258540011192004,37.07456129009976,34.637286795231034,34.67810874840356,34.63888425750343,30.148741971544606,30.732338648880614,28.110921143835448,26.18733535709025,29.52720654757379,27.92932859382287,23.95144665734997,25.44526736568527,28.358289260930523,24.323027967121128,21.72572852824031,25.989731895478506,27.839716770911085,22.095225488015128,23.3343741317055,26.68307444102013,23.96698507933796,21.301414510053934,25.489923968674148,24.801806431345792,30.124517216802705,29.44270231453905,29.445056880332412,32.833227436667855,37.113715588949155,40.6703625634011,42.227774154281846,42.36099914991567,40.701706733206215,42.73563715323841,39.82982169850758,43.68053361710744,42.94661371107089,36.76538187339042,39.01930391337453,42.384812801750954,38.54487196497863,35.987426355380855,38.825943092480806,39.3586233068955,35.13495550495424,33.58299497085377,30.88155471382555,32.78023730261357,35.82428666645362,35.24222234544935,36.688423933292974,39.19127194480386,35.99165506955766,32.8154209204179,35.10767849932458,34.87201566749357,30.008586314389145,30.16487276980298,32.28756973231595,30.153845044703658,27.678635396890634,32.52885216109258,32.781228848723174,28.51326954386222,30.41165313098054,34.3829015016504,33.30386407629272,35.82817489196373,34.46618572086057,38.11086024822819,37.012627131825084,31.433767652342432,34.54235226959078,36.37080032022705,33.32354462438017,31.425817740545817,37.28685065428358,36.3466448420999,30.90559713792998,32.95680711266661,37.74973166454002,35.61101302449869,31.77805239382292,27.160578668989285,30.68876142777696,26.635328343042108,28.4354961627864,23.1105954122047,22.89643227426661,18.882397108899003,18.137834544657288,18.910651793071082,21.62577340815214,20.546431274999154,23.05260335470287,19.28092164758417,22.632393349484563,18.944625089305642,19.137829868510426,19.177359746005227,20.579676871450676,18.89608647193091,14.743151773054135,16.2051746127781,16.775762279365377,12.593395700867529,11.494825818130034,14.785631186375172,15.633236609814535,15.23996081787039,17.796956608857688,20.475777268286215],[18.116864582824746,16.886051191065942,15.97941935810622,12.487871321154888,14.37774986987883,9.334160752771586,9.579129313241683,11.179662899754486,7.916315182209863,10.335479217827565,11.696394640090057,13.84145293451457,15.543239793597923,13.690173265624397,17.914635711163044,19.810049883620252,19.73893184544642,24.07608116552575,27.317951566494312,29.771443558296788,33.21779616747154,36.87091028246414,38.13045550884572,38.01439927016324,35.18401466268831,30.960351037626257,28.956805234097445,24.777061655140955,24.403848867819143,23.127534547741607,25.17258984905031,24.465166225818074,27.167723229402366,31.211422324461484,29.716032223252537,28.703173600605542,27.852280621953657,29.71115804974799,30.25075675347142,36.09374310678157,34.11795044019482,33.96859507782686,38.259269487071236,38.75559543794904,41.14604334269245,40.885250352998284,44.9079660889291,43.01186008697668,39.15166825468111,44.274064275471815,45.849528794050784,44.81157595069528,46.68056947686382,41.270709178432156,44.43277781227907,47.549104690658694,44.19079125751044,42.289798515500244,46.780109207908836,47.91823959137932,43.49256049472973,43.27757828684927,40.54523628745904,42.7950072453394,41.13954260066805,37.13942272870306,34.17691575736908,30.525728259758953,28.273648530580886,25.06731421233907,24.907607135657518,27.099709435289423,28.215039301548767,32.16016529906263,30.785935834916504,36.851436910975714,36.164105183428134,38.247651585470514,37.72807565032106,39.36860450138837,37.28519455110578,37.69094115405703,35.17231912454667,36.6520162045744,33.91373038875027,31.891970545285833,33.6172125055988,33.18553696205701,33.02202288686861,34.86024942533706,32.45766250611864,34.86992334270178,31.080110662892984,28.59626809194438,23.95475809674185,23.70056121768917,19.465455568065156,22.04744102093127,19.490814462073935,20.785199435292835,23.50401466765726,23.429833402144443,25.909944034432876,25.094414592318813,29.59190095435414,25.655312530906414,29.030064951935906,29.1332571571936,25.446255252997638,23.99184874447609,19.512401622292256,19.15547518281383,14.654209750704245,16.416266543161495,15.50655994437689,17.326740878973467,20.178337183725933,22.672410636239047,25.56929890798677,22.322557158163093,19.89071172628372,16.505275108497905,16.34983482945437,13.997535566051402,11.417616898304095,15.775327667685971,15.190763026626014,18.7558689473118,21.913193149240097,26.016946346560033,26.997464549261434,30.884277908558225,32.14167229437781,31.5994095851483,28.782780291863055,24.696149626675844,24.971379429871547,22.61578732406613,21.321344391280753,22.950317581098727,25.37573553124159,29.477393034912872,27.275472630520376,24.767992095592266,27.168583812304618,24.251767651191354,21.713409852801856,19.65526544014969,19.253306027024124,15.351517106423772,16.79523937970329,14.452528798561264,19.06797294776571,17.48159434109208,17.698902741715383,19.381679942116758,17.873915957322026,19.77561082750603,20.60344518411638,22.200415873336443,23.438318150367923,25.44277703786411,25.872607558133456,29.625068251303674,31.129516734742346,30.756695315091484,32.914057187373096,35.576312744893414,33.37341633430127,29.75905491048065,29.21451968796146,26.7095584307657,28.628233134317107,29.02682758342,28.84832349800088,28.840656224198348,26.430290052756735,31.469752161554723,32.22891219827229,33.235726954928474,33.6471547298438,29.270318667818316,34.34295810649072,37.16769335854283,34.634404145486045,37.03194851416581,35.42252202065044,40.72361786852514,39.613167735255495,40.84749409473108,41.7011405308409,38.08365752480735,38.28172846237169,35.958242835235794,36.095486226214376,36.369136271480194,32.11349322296007,32.414758665225534,30.00993866686472,27.391862355218464,30.82360025334657,28.545587427313844,24.79598589732464,27.07392567676023,29.495160645456124,25.093586421739857,23.645656427199082,27.647164346545566,28.555317654416612,23.097113866869556,24.93267616935532,27.880330519522573,24.562188546756605,22.781407520493577,27.178889981631286,26.952961712288516,31.810227244974563,32.16123766520197,31.656761327171605,34.6912476610198,39.05162767594929,42.518901344257976,44.12080248486121,43.77012530452382,42.10333747856593,43.878549421223916,40.71274036771434,44.8229560479775,44.50011851911674,38.32932710079146,40.35886227584204,44.185829394326525,40.64341292138443,37.901150047543446,40.71886624154578,41.84070517227653,37.742745742877176,35.84148256615716,32.9181616072065,33.97637647470292,36.92534772583593,36.04793989925253,36.93861892618346,39.09716398194626,35.58383552177339,32.97706414134619,35.13426338603511,34.25088664964477,29.555781266894915,30.255551585199484,31.85213101659706,29.4121612460774,27.572676513685444,32.53918438387114,32.329673793496795,28.085647965439637,30.71196656578684,34.66895943931714,34.031597703825845,36.44438831866786,35.03535185668039,38.98573231663362,38.158925004120725,32.725747387990154,35.87097108019777,38.10726857909768,35.22804503907767,33.43585134827674,39.41691278389533,38.85490321049531,33.5690654921297,35.56700719866896,40.53617682924192,38.702192675648725,34.99600031403524,30.429361843436478,34.3635505061161,30.4468432240819,31.77575540155306,26.406264813435055,25.603089715965492,21.11702966094017,21.28262063595723,22.261381723911487,25.310892429704417,24.0238955937771,25.856030066177432,21.510159715453817,24.355519731766,20.351160296150976,20.070029749680074,19.056656280352247,20.306347612206096,17.448070890704255,14.42572756606579,16.19553411585159,15.412050860385966,11.075599032682506,11.822882848366685,14.230950965282936,13.563533726977509,12.57213260390572,14.540236270040984,17.18934491287088],[14.881948312515744,13.84392932700976,13.200531217066333,10.803467863391475,13.03806525741318,7.3459234237487765,9.043004121513864,10.20966988300097,8.425980113062943,12.188523348032506,13.787066665650148,14.922728455194259,17.115431422100862,16.27989375165496,20.24951664904868,21.71495159965768,21.95660847837007,26.506387228018102,30.072205951388913,32.1067188715455,35.78695182576807,39.20330026848894,40.729483778351565,40.64239385933756,37.56627735388129,33.50533665717551,31.131132489220324,26.945757705325278,26.400495964286367,24.66636413030805,27.24242467033837,25.724394360652433,28.44385644122374,32.757837125128646,31.153273347347604,30.472269051872686,29.02853454155825,31.319896910209515,31.782736051345065,37.31876686752536,35.75201869756901,35.965005163708774,40.1333689884819,40.47010289821593,43.016475545445374,42.5948851761751,46.58227672839906,44.60946693634074,40.5272344857298,45.45352600207036,47.000225300075876,45.782341020219526,47.74483602616865,42.40891560438397,45.47390898007847,48.877967547425435,45.770465232395296,43.80493333496243,48.29198756686325,49.665655758570594,45.45668474828419,45.3631101432927,42.64548862303778,45.22185638109506,43.45740168651891,39.32730315079607,36.834734091404606,33.066303068297685,31.24267102601583,28.00855506646105,28.134148267140457,30.50440852131194,31.2877397050257,35.16894404627153,33.39041928271724,39.320424183245215,38.36809736768416,40.203052882725686,39.48183673717583,41.00871391540682,38.4958536722817,38.765506132722166,35.77527021704785,37.18245675395174,34.75107085456468,32.85676609002056,35.073040599952996,34.3442287759415,34.80748575463933,36.4758643242749,34.475933940040505,37.0885455197141,33.256972441197355,30.490904050138575,25.90943132695703,25.789617273542206,21.683504086773326,23.37775550544487,20.372020781781117,20.65190947180002,23.85461139925593,22.815153450402956,25.934531134348905,24.350614612443103,28.88666932917804,24.67151252457074,27.57100682434191,27.70371617081892,23.770289598750253,22.378934479825823,17.900805079090983,18.57412270075498,14.48328264362871,17.101048465383432,17.186457339530055,19.30761058315627,22.493153106185083,25.173279172261886,28.427338388067547,25.071209467333997,22.891422612411993,19.36542904548256,19.056321578717792,16.211218874631104,12.929584377311716,16.42886679195171,14.268057715306385,18.174307221833757,20.89036855360944,25.135031950193074,25.99792909449501,29.6258819328501,31.409988890996274,30.843060190786442,28.438159828387313,24.655077178939113,24.728147763949057,23.195111500851223,22.536952075415442,24.229245103245447,27.30534765698587,31.497719332470982,29.394584805189343,26.575636899509128,28.807580342052162,25.844119227449468,23.219983251548154,20.73830271755144,19.603638795395316,15.509557427307676,15.841034780500165,13.497997789622932,17.506282864105394,15.649902940617595,16.89037968379409,18.727310342373343,17.85738946730745,19.16938185054212,20.89828521058861,21.88626231252594,23.767526240622143,26.37604235341107,26.99663270272139,30.631990897500298,31.897628768693437,31.760792274246867,33.38951738636002,36.18397937502624,33.660068543811114,30.33060669461516,29.494850318952555,27.302861878701698,29.027895362680646,29.359331732684687,29.22385690971105,28.856684734589756,26.891089869767043,31.561438553585926,32.599855514783464,33.2202999194443,33.85890100803392,28.96270898435527,33.98821743199921,36.926334079497835,34.67533739727043,37.55829365631177,36.38530155947,41.587460073386296,40.817402383985076,41.584788043244714,42.23338274846688,38.46257578398017,38.27485052930949,35.690192997235805,35.51049647128862,35.46687604600917,31.233521088929244,31.053421579662473,28.30980768053967,25.533391628177824,28.502546177236106,26.03140933808905,22.43164799983108,24.552963677289426,26.607036137156513,22.054069410913,20.87793368921836,24.578244317467206,25.148148258225138,19.645263982113548,21.55525687067487,24.295197506013494,20.808301596212637,19.2419722441676,23.663478188480298,23.681177022001236,28.29659825669641,29.216305417821633,28.558731535958753,31.37319290845505,35.864963187550984,39.18238446062877,40.95516177718471,40.57386858935058,39.103457429186086,40.97805461513907,37.97372492738151,42.2440547135581,41.82077271953689,35.76759018690645,38.0151131566765,41.92561122779523,38.3746616775911,35.81381509909933,38.90265273035567,39.97477930246147,35.82304635056384,34.35728830463753,30.937063039643313,32.12858241090382,34.84956832123082,33.54996605531918,34.516876470520394,36.38053968521521,33.102518869553734,30.48930015695798,32.17854789324532,31.33280714618403,26.74731951030105,27.15081634293808,28.506996561333235,26.001487197119165,24.096372177327495,28.984511438015105,28.64845026057875,24.310730021095686,26.97742501080242,30.94331280661725,30.4463179802132,32.99198857911681,31.811567050237752,35.832094833950315,34.81677268418937,29.520170988399535,32.92584442689014,35.09371119609585,32.18741257777446,30.750142949177594,36.738182308592,36.09847816414008,31.004496981969673,33.28469587120392,38.15243193238947,36.292052234058666,32.742728715917444,28.1857409067055,32.29662231997394,28.428806518064196,29.244596498335067,23.889494935281196,22.84839015433651,18.119164774255733,18.755046235197124,20.051606854055038,23.40590090459971,22.32302251836623,23.830322551606393,19.61310847972371,22.600020357893033,18.95247764011164,17.46185406955969,16.375791365684,17.09654630840974,14.387337718736651,11.555106693333544,12.574314760656016,11.711116622248483,8.085763646210173,8.236778827242627,10.285712971170595,9.830358645831296,9.179382477252448,11.67669615823656,14.399265550615755],[16.641634827119958,16.360498222830852,16.475375567313378,14.59831628473953,17.10698615765025,11.222576842931547,12.688363497118356,12.703614639374493,10.340132446306008,14.206076473689164,14.757705996554755,15.327657431603509,18.725897860615618,17.790884288404317,21.072763488754305,22.824059652566465,23.8049754623401,28.115311795554287,31.959348879221366,34.092196681504404,37.770782604778255,41.34207956087361,42.89348012120541,43.082533988754065,40.0815912334053,35.92867645319489,33.690716880996845,29.412951304949893,28.39719328708933,26.35782912765071,28.059145439777765,26.635769386744776,28.75622845495004,33.2279145526149,32.15741804916448,31.901273641157868,30.631326724198313,33.465583381557806,34.31501608623012,39.95179149776691,38.60435680570367,38.381943005524874,42.488398754705074,43.1314227321581,45.829317151760634,45.6774273742884,49.60720665030816,47.414982458753556,43.548423512653656,48.622923806610785,49.90677970229256,48.59983604000509,50.31629808156463,44.937655889962194,47.72525121067176,51.13556911578878,48.07785156671484,45.805613611955856,50.17533136784346,51.7715012030963,47.42583177134537,46.920841184888516,43.939761327206384,46.64973724158254,45.22739857134536,41.04243717989432,38.3878309767084,34.41991564615534,32.613058038001846,28.986848112696958,29.232714180162475,31.233354338119472,31.90238709130104,36.08443723875996,34.21334035024752,39.95125474435415,39.47965492535961,40.98191547042514,40.644185033412384,42.534656950653606,40.10932137237743,40.823817300450656,37.73956004419248,39.605322071959755,37.35795685575397,35.07271897688021,37.09242226669498,35.89593496543674,36.28921118940279,37.31029966014564,35.21498831706491,37.40969030399815,33.430230638607696,30.50199926708288,26.132096539935734,25.437183025616637,21.606167576504408,23.409020176937908,20.54706662451276,20.33950042682507,24.497445074970933,23.80713143178393,27.414014933026703,26.236464904789774,31.306435163265665,27.36241645761132,30.253969630620272,30.805345086301813,26.980696077313787,25.19045499961707,21.00099706841446,21.807634234795408,17.667474767147265,20.498041176106057,20.021369473848235,22.4352940955806,25.201512434077845,28.123281594196115,30.809703728367523,27.134914245104888,25.06959006432872,21.64136462496802,21.998461036360794,19.43169217223981,16.418097773706158,20.261793429238974,18.101510159618876,21.895554906531387,24.505684079690568,28.49055212312201,29.748586101716285,33.15969585035663,35.07714020244856,34.168315086770725,32.13318106619299,28.35337086355889,28.752738393347986,27.149962322426095,26.409736671509663,27.857000581647775,30.84602537472283,34.86540176119204,32.469987373038734,29.765422343998186,31.816113295501985,28.509479416458706,26.140663239809918,23.388075706316005,22.322252544829627,17.98263000339792,18.073235114221326,14.707564637907652,18.1664413466492,14.944931873154978,16.341970794976866,19.10141321307248,18.90662998381852,20.772237724012715,22.67551340717373,24.396757220968272,26.808202978864106,29.03963467067521,30.232768720539145,33.61673408857239,35.29598713102135,35.46635110471073,37.172892901520854,40.09774908227045,37.6820964327486,34.323445994466795,33.40492069266949,31.053554497967493,32.466811011895196,32.48415853997521,31.9738530152552,31.25765754731688,28.959899615990526,33.43419051942794,34.96955433462791,35.66641086477196,36.79268606068162,31.938764436754067,37.1805052672537,40.26361389044702,38.09603867964928,40.78499414175763,39.458511821981794,44.808692528078204,44.238712683403364,45.10252559029924,45.91937825668679,42.07225397392846,42.03601435554089,39.491416530895854,39.31295823636877,39.316430360116094,35.17410101535139,34.80810887757612,32.02864183862421,29.031197563833718,31.764126647432153,28.969601816973817,25.62136284457159,27.82931628848535,29.442874761825745,24.730208213520783,24.046317640625325,27.35262854382185,27.29976104688293,21.902289353717553,23.865580872120866,26.155470189692057,22.266969838047643,21.024523297911898,25.339163919141274,25.891222444412122,30.0894051522699,31.845413524776294,31.18147830283059,33.66124444158767,38.34661345802759,41.36592629108554,43.43941062044623,42.986136579863654,41.755164664963026,43.637535293845346,40.7037359153509,45.15101793329826,44.78225800409566,38.86943243304276,41.17824818838666,45.241366163943304,41.767781244417904,39.296112421843254,42.49066594991019,43.643319169184956,39.497479488731614,38.184939344562466,34.53829806891114,35.548437034698416,38.10496799134887,36.46648124604932,37.2121417161984,38.664295474636226,35.40337711116567,33.153187201584785,34.394903428660534,33.19227769910585,28.90210419610996,29.354626778452996,30.10067594372799,27.343518177872678,25.818504172011288,30.539043077197604,29.6862141561994,25.241233069579305,28.332818691249187,32.249036107519565,32.20549861729418,34.91343088490931,34.03256373679073,38.19697929730871,37.030906920681524,32.01125621685079,35.67356032984631,37.821084514407175,34.91573695712917,33.87658974093955,39.83284426341773,39.10858497427385,34.227445581364464,36.74493278380843,41.49868916998988,39.554882459374795,36.13245358099517,31.57106518684483,35.635607702030285,31.685985526174036,32.1316339749352,26.808810262613953,25.851887470359017,20.940009306554497,21.715060239189476,23.423949532195458,26.916427290566066,26.098966294872046,27.51294574358849,23.398863163032708,26.323908371231735,22.766760988374973,20.662795121786854,19.14100407148134,19.30494954868253,16.025964759911705,14.373659853856914,14.621801804835927,12.690481117829622,10.39685260764124,10.787925574699113,10.989285888561572,9.122966212670699,8.855857896605398,10.812846957701735,13.13650742925067],[13.873287929255952,14.15963466516504,14.892825170303048,14.512641082092923,17.22931274151197,11.54849884016993,14.033602699099447,13.648051297040002,12.801965623900474,17.280222627552266,18.10975422008491,17.907588021989998,21.481252462992657,21.343478017029547,24.457715052970443,25.795250602519186,26.95199017217608,31.416322861977328,35.4811542373894,37.23802694241203,41.10513501091655,44.44010482949438,46.22428562308342,46.412386269967435,43.195782007191546,39.20628415856463,36.646756559253085,32.40209098428408,31.292915129435873,28.902481239153254,31.10979310712337,28.957714299163772,31.072440517042963,35.734675509275284,34.554250402779566,34.59492455192848,32.774964148248095,35.95154388174307,36.695460938966505,41.98812448071845,41.0224179341983,41.16653814066267,45.14056436847451,45.60448652486282,48.42338272400205,48.097517467478774,51.97729673466276,49.74121783114436,45.66867948608912,50.510494900555,51.77530922983912,50.30141315359334,52.11666134026192,46.853033862615696,49.538661829023475,53.20896951047929,50.41730380941626,48.11692434107372,52.455927089748336,54.26361577094344,50.16104938079376,49.799108845278816,46.85969408928395,49.8631928254448,48.32242737985405,44.03702979837283,41.832466808407084,37.79406438204816,36.36068285639737,32.76586175490607,33.22745776481982,35.39875565742278,35.80578365946911,39.88973215904594,37.68249340470543,43.271844988354395,42.53149537204893,43.80065280830608,43.25519146769476,45.0070076472051,42.17357621116994,42.72967366879366,39.20479026795991,40.96360644207547,39.038643894852775,36.9238880061482,39.40698111723709,37.95345504976564,38.95179556118334,39.82705752582879,38.14299058731596,40.52620852914684,36.549990135658604,33.39737981505456,29.143444376379925,28.613592055963675,24.96104941795391,25.905805969657216,22.701243583687994,21.446250141841627,25.978950544362966,24.28105546130187,28.472991061358535,26.511546622321546,31.49125292236806,27.352982074512187,29.621912277316067,30.196877509474234,26.204817197815675,24.54754639333852,20.573494493281412,22.43068446235435,18.901287167444142,22.32052646116608,22.70225828707653,25.26194737732563,28.312643963840017,31.325693583575564,34.363030157310654,30.652783697328516,28.7669977019424,25.234648997631233,25.36817145833396,22.441890773032483,18.982554021449808,22.01639437734158,18.587531220264378,22.495703567900513,24.54767494196931,28.55166632944369,29.629176779604702,32.67794745681012,35.12751479146528,34.226542648386555,32.64901622188267,29.257942835464927,29.41407383749059,28.632457456224145,28.460814450815896,29.975189423903977,33.48451268975331,37.586453854192726,35.328697873677484,32.36962206068549,34.27709317310507,30.997082374804453,28.5633469092425,25.524741056875833,23.831372574036354,19.51398840395595,18.512045651261335,15.358783934445892,17.7781672457751,14.231371084833624,16.885120384532705,19.716083819526588,20.236959169716116,21.40464180254568,24.148458615109362,25.192821499534098,28.151233969031555,30.925073855878015,32.23103784437391,35.48256619055475,36.87985721917193,37.24068463784325,38.41427531769978,41.41539925638287,38.69987900950945,35.66471124579682,34.49651428593262,32.50070795220342,33.73617711778562,33.70770392666205,33.26671466582214,32.21076799731041,30.418225697788856,34.43225260380741,36.22207263404977,36.506545031133435,37.83524749248118,32.52965703208368,37.6181335382684,40.77135846390623,38.92245524359806,42.08212093745476,41.21110030450099,46.40573130499301,46.15300266329251,46.54698455942099,47.13618253875136,43.17991904054463,42.73774567356232,39.950087092624436,39.43420368459451,39.08608460671108,35.03655825490085,34.15508320591545,31.042608150112635,27.963845163849296,30.039875755825395,27.079286951418585,24.053590030791057,25.954646534064903,27.0140744116319,22.247718506796616,21.96477769447575,24.69522671410646,24.117994198656632,18.832550300251302,20.788872110661202,22.628598634080184,18.520164287406654,17.664464283915045,21.831155746649035,22.818302355477066,26.524566593938196,29.11465727554031,28.308252819260225,30.409317729629255,35.224723718550315,37.987121356455916,40.29705656386707,39.83490090122557,38.91033758664347,40.91613486342308,38.249859650308586,42.84650787768083,42.337650957483305,36.66918721982745,39.230971852331926,43.329772297084396,39.879467082922396,37.685926833657774,41.16432897913441,42.20957188490643,38.05504747004879,37.30578961372176,33.14879641574991,34.323505648298145,36.55341454398963,34.409506870601106,35.24019604477778,36.264304727491464,33.37464452750334,31.178306701125923,31.738710118116646,30.58889439588231,26.574786393126296,26.597243660258332,26.911244840870282,24.079390855151836,22.53697278196181,27.00275543967461,25.892471599608182,21.335537280353883,24.49513621276213,28.36487094767011,28.58911974567116,31.488813218606918,30.991509879011826,35.190037283731485,33.74342084829924,29.027515708096384,33.00685327196928,34.99822247492954,32.09100080642755,31.585627997182282,37.432601296236086,36.577947477442116,32.04477488676204,34.896774926542186,39.41984132513588,37.43785352778347,34.27375552716681,29.820342464183845,33.96442189242601,30.13692210952038,29.918034227959666,24.7671166750897,23.613031579295598,18.589035870001457,19.887306895143173,21.98760177460707,25.696068787649136,25.204222316892174,26.226591024802595,22.47889885724861,25.461990365695158,22.47349549570845,19.034747694439314,17.498501460624198,16.80966377711124,13.894702329593537,12.953315964984126,11.781817806671377,9.523542827096382,9.396107546479346,8.782014751930182,7.176941482783748,5.059038856705077,6.170168219467663,8.716970496727013,10.809884568341895],[19.31576896561774,19.971297094554643,20.7386767890774,20.401869288499444,22.709401243658156,16.722223090251433,18.309716787835082,16.81766836688249,15.18294344706477,19.350162923952077,18.980933778041123,18.05069531129722,22.805054346968376,22.657160584786997,24.73180645588995,26.29958621019262,28.376044868451764,32.42201687634604,36.83362659864036,38.6154406368573,42.46060906284731,45.937068157381916,47.78805128264778,48.4044039551021,45.27669775038488,41.225363739583294,38.837049573810866,34.52257337666142,32.77095945904882,30.021976789358824,31.048609147141452,29.049588202879608,30.30065111384092,35.040521177607026,34.598394032672914,35.21681513672988,33.67759437638061,37.52800542513797,38.81210786166446,44.202646501235826,43.5703685058734,43.071926315351156,46.90151000084348,47.82294468627592,50.86892655094781,50.979234959171706,54.74431851860182,52.15475108479534,48.454632199719484,53.524568892412326,54.35155854737233,52.77156155703816,54.18056070122289,48.878379183366775,51.13272040064789,54.760704760565105,52.05852045209368,49.327879550501834,53.451839462537684,55.570295467427506,51.31172379654347,50.37165895394977,47.101329793600314,50.29757987917848,49.24097665980112,44.91249584037723,42.59057924198489,38.32875884611184,37.05428294618859,33.03119058755377,33.73554214779435,35.468265515592535,35.57122817654166,39.920539341596275,37.53184761997559,42.73072436144578,42.60047697469091,43.37407666310845,43.345437826434164,45.5730753648871,42.9120993545034,44.104955012209096,40.54662537197156,42.96134586152359,41.28246763160817,38.613815563046565,40.75003937278945,38.67677589250967,39.555124700056496,39.52903087041472,37.78029341951666,39.59082858187107,35.51348316382231,32.20440814767579,28.385510158387074,27.187326208777733,24.09835280019298,24.99246744269117,22.142994006009946,20.353101201365806,25.878022774229557,24.895325707622195,29.460205259954435,28.3147145238516,33.93249370223994,30.367885045508693,32.812522082298095,34.01955004760258,30.392270086789196,28.095610297947722,24.602287935773276,26.144489972551177,22.47319494423035,25.952476251320714,25.505821584527666,28.43733202211877,30.87086102257953,34.243327979866336,36.47699471681107,32.34850582700302,30.73807347371224,27.38635954280371,28.434043580984774,25.83977760291402,22.74401699813796,26.316726412182188,23.335567581451162,26.935877090619336,29.01969558795376,32.51631054270953,34.32960708114301,37.12411058655171,39.52689240537294,38.04906086561448,36.94120152590227,33.463140823821846,34.30433157975582,33.16895670256272,32.82013688956565,33.86553744724558,37.281860719143765,41.05303392003353,38.32218262715475,35.53491551952123,37.13249283297763,33.39263871405633,31.363835360841186,28.030738893202376,26.565334281907408,22.101034945694785,21.131289172294316,16.914284525601943,18.60444777668365,13.575316982815892,15.925966449828788,19.752402107605903,21.023741426415402,22.967629073157166,25.636921042493203,27.763693799925527,31.255117371045245,33.35374653185188,35.46969644622724,38.31266136358598,40.376040599020136,41.24800305873118,42.62605980448705,45.86883533411507,43.44770846343682,40.29308533238686,38.9997225343737,36.64510893774171,37.3817690210161,36.873197784989095,35.868169926586134,34.401198521922154,32.08864625149318,35.81367356930032,38.22884754932995,38.70470655392427,40.694534662254426,35.64852729230862,41.04587529974268,44.38087932744584,42.59524798591939,45.30718139858583,44.13352321218631,49.54728366391722,49.60591201950655,50.21060534626231,51.13816092769294,47.07973176832555,47.018359030006124,44.40079735361268,44.02325872192547,43.94439465612735,40.07978992693391,39.1167603981746,36.23046291340094,32.80071276818518,34.88704907960277,31.515067829751377,28.80640347756101,31.14191161632085,31.78653895677159,26.965092755500972,27.44516896155842,29.845939833348762,28.511364281509966,23.771588550020024,25.928977892616956,27.244007950384407,22.858031911888283,22.703607515471255,26.617311159673726,28.038267351462906,31.151004641206367,34.52409481122894,33.54049974276258,35.25329157403157,40.07047055042067,42.560222277604026,45.010187508888094,44.247495599253085,43.44517242735976,45.24590716053743,42.48608620498029,47.22651718453809,47.01466490940821,41.5005210288723,43.87823405994885,48.240673168351954,45.03694824146666,42.77720516968004,46.188007853810326,47.58292533749823,43.544716947262934,42.58705923218207,38.39752878222951,38.990719733880574,41.09755622883252,38.738248052359594,39.072167429784685,39.65981495197664,36.609429436994155,35.057941251034336,35.341162213227435,33.56411443087961,29.990949620355735,30.454242261399244,30.057982247001938,26.993945238985848,26.251383252472312,30.456766756000604,28.734280327749143,24.411986436324796,28.162772724231576,31.793509728399872,32.57622272695518,35.380379035507275,35.01722524098044,39.354404069109016,38.05113498352115,33.704244628775996,37.675801002466436,39.849812590885115,37.10890524401238,36.799451735613495,42.57636546189808,41.900195036553555,37.585855168865805,40.412814000146106,44.92956411233687,43.07391560817575,40.02875974444866,35.64774755829527,39.82701781862531,36.03224398373678,35.60075358018019,30.552002349163722,29.31130484839145,24.27017125374622,25.766880726339654,27.94696988879725,31.67571923084768,31.1475262649339,31.97131892932432,28.043671738390863,30.677047717840075,27.528775651976158,24.11296710257305,21.924639927794235,21.05088002993021,17.309532653621183,17.72036258660897,16.770416416034877,13.42773482934927,13.776809465042561,14.544325055466473,12.197655588290072,8.450941580119567,8.919529555115044,9.348722188203206,10.276290828158768],[21.18258396449407,21.238130481028456,21.356398317499494,19.913135268854408,21.86174271125095,15.762407309522713,16.435962399761472,15.165027203564938,12.283422090745605,15.775288122628465,14.99545633802682,14.682334196292608,19.333373388102288,18.525851274596167,20.61823005575019,22.560536400469395,24.528404273983455,28.39586073084336,32.627291095569845,34.714751933792186,38.38890652383278,42.05965959621073,43.712703030236206,44.34777117019054,41.41122996561327,37.23921668148157,35.137456754449865,30.816140952654546,29.114585727265336,26.678263349047448,27.220308856120845,25.910501171839016,27.193068349139686,31.749917315788316,31.385527684197747,31.71411787931294,30.6936947952028,34.218504022167785,35.60668450055686,41.29366265957315,40.32984615172805,39.48697227657594,43.418159957910866,44.50399533537616,47.44281938973553,47.725681411189264,51.51616777971847,48.96030684527844,45.467617064316315,50.74207100060592,51.57410026857934,50.151133242871886,51.46531145967044,46.06735337976169,48.41978734247971,51.79014621794716,48.843830548281,46.152948513619705,50.302417656888906,52.21205413853591,47.74073791892852,46.68312402745877,43.386008279890405,46.31233863531874,45.35444456851655,41.12056336047914,38.410604557401946,34.21175793135612,32.63497180484934,28.57939852142072,29.12877846462348,30.725421197897795,31.01278122626078,35.44177426759002,33.333036428390116,38.67684082026939,38.769657478364266,39.77876793174909,39.924146587117555,42.26547572164135,39.99152454396934,41.31801453861429,38.19252726988049,40.69294474583447,38.71076827442997,35.8887312680475,37.5862122852518,35.768315840239325,36.07466201974763,36.21297105749972,34.075065180583564,35.738872651640676,31.653301364008428,28.55340770637039,24.594387599999937,23.252752717444103,19.96913117490189,21.693463135816618,19.174953267443666,18.51356543349759,23.585751784017127,23.6058082201214,27.544144969659445,27.15365432011596,32.817682554531075,29.440649494170632,32.484615297061474,33.651401748418685,30.1857745163262,27.771740023109285,24.079726833167893,24.66049309619203,20.50107086472963,23.447852837120323,22.217624725175014,25.04484581505841,27.14263310458755,30.46228580164599,32.31367915679701,28.19733618040207,26.50080500898002,23.28800474445171,24.643931724128297,22.40816059746654,19.772710846221297,23.954272851115356,22.076268032939137,25.511929822729467,28.069867112501186,31.5142037838137,33.51940362622207,36.63493385792812,38.52844953094943,37.03048841030846,35.517316020054935,31.706608896928294,32.822671856399595,30.969348402436633,30.152872021280153,31.053961466100716,34.02568768286614,37.65222169033926,34.77419251913507,32.23146577727735,33.9055242253475,30.136873838822613,28.211021686175133,25.130807918903116,24.245597725056413,19.807768884176625,19.83555130086666,15.465928036572242,18.229607913327428,13.776659920078282,14.707241254204407,18.37074767579086,18.8776542061812,21.485374331638972,23.325049035560465,26.08395869438695,29.062252409656057,30.63114386121841,32.67663861901288,35.59534703435319,37.93103154200981,38.67350274376603,40.52251290596768,43.70837995064949,41.592469329925606,38.16500254371314,37.07404242926725,34.39347262700006,35.241533254011934,34.757010713980456,33.68072751382703,32.54198105149303,29.758906649061544,33.927025499460385,36.071243440797836,36.94122281786348,38.72508745263009,34.1262833376695,39.65276276344598,42.91498267510316,40.835944672462546,43.08925692467666,41.49468246665181,47.0379937344698,46.82600082361753,47.85860534430849,49.00817522887117,45.05623210827783,45.3883349093024,43.011999628941346,42.956372778213684,43.226978954291745,39.30224149336843,38.815416553861574,36.26327405968686,32.88658156359918,35.62452471523967,32.404357217467656,29.360376667711932,32.026248796451426,33.23086028598173,28.419345586258178,28.5351618497836,31.535632471859987,30.749548626282817,25.808020491141534,28.049776981446893,29.895878350493923,25.683473266093664,25.140846203491428,29.343300230219725,30.275653039463275,33.97512069929059,36.47579548815998,35.558374224548615,37.70083000849675,42.38820373545279,45.235959996308736,47.37962383207095,46.5917683415624,45.42531442126655,47.09168553960794,44.02187658116319,48.61486450084639,48.560860455291326,42.762557341199354,44.87321030140931,49.21994047199395,45.99923863047165,43.436771092064916,46.56222009189735,48.09883618725564,44.0772184886039,42.53274761112141,38.83338280798634,39.23364988982482,41.673171353548,39.83174812931328,40.09332913512682,41.166629280865095,37.72099311911864,36.06787521787307,37.09801616828398,35.31094040438706,31.379348896710813,32.271220059916594,32.41914229594491,29.44567699125546,28.618623653537114,33.1904036383039,31.836360793113748,27.57205781480968,31.226244002200833,34.97829432083366,35.39772067379733,37.99455220040049,37.1729554772869,41.49596714061684,40.5157203647159,35.776097780902745,39.421100758880804,41.7982762753129,39.05472430474381,38.1592774099387,44.08749622180308,43.58840037691559,38.89331208797681,41.36274354212502,46.15299258764561,44.38445172471911,41.073921780246756,36.58588276194924,40.771461622599205,36.89296381960036,37.09407557531861,31.838951454274124,30.67085642677013,25.662305724349306,26.79934337028913,28.591557011132878,32.152592894833376,31.26264629930781,32.372946688813904,28.050635255434536,30.59049452017708,26.92331446677318,24.704040164978707,22.520404828304738,22.474172542574212,18.412338169600854,18.079753919442286,18.389041041848007,15.386578319577014,13.775813709533097,15.358395216880066,14.538310699877314,11.192108966575434,10.548537434187782,10.965632615241315,12.473163099926229],[19.98718783182637,19.687114260767608,19.170889366009153,18.2624358329094,19.39334861304355,13.23513937163948,13.696017963981461,11.866413789336889,9.578178761458899,13.59757408407014,13.184835698210522,12.361636046392235,16.958045449268855,16.912056669675188,19.054001968772308,20.549388141627656,22.53205960014443,26.624151665143735,31.07155676555821,32.779700294641216,36.652924197703854,40.09815204804654,41.97895339234093,42.61957706681779,39.45524340164284,35.430101152992506,33.014556401467146,28.698680849125903,26.922488621174722,24.24512231760156,25.471006068370663,23.55479429881338,25.14702043477382,29.82045829126942,29.12526143420686,29.512003865325216,28.06672183921411,31.735790757671502,33.033899328836945,38.52314098268038,37.81372728811897,37.23116926696022,41.07921642631535,42.03232624479162,45.0809851349716,45.28094719883167,49.03258395029366,46.40823160214282,42.793017566059206,47.962589747960074,48.7530202759466,47.23388936114236,48.6054131301113,43.25431875995468,45.587566916860226,49.11776676134155,46.31489060482076,43.643377559510796,47.82272922111434,49.83021677784145,45.53669043736822,44.6854635891596,41.490974871727715,44.62567569297565,43.46721363390721,39.142689854235144,36.866157871805285,32.62714362942183,31.43361458986642,27.50605189587168,28.300934377588362,30.303868996887942,30.27371417630295,34.48600711617806,32.036279124679695,37.37746882536811,37.020059901567166,38.00153870830994,37.829868400854906,39.96346792772111,37.39611020494605,38.53573797957061,35.18872136216937,37.58719410079602,35.73857039128398,33.02065462105054,35.02967141932306,33.15465002948838,33.8742550335155,34.161875228422375,32.34809552007801,34.40510445457904,30.366194160915793,27.137043953512986,23.07033393517494,22.230589255377385,18.837805149678005,19.80637406279925,16.87740903229649,15.901647609699575,20.815376959945667,20.31190997837817,24.379650821040247,23.665600439899833,29.30331525563034,25.89885765089395,28.883525983500647,30.13545503105284,26.75082750238168,24.216635535411463,20.65519307527589,21.370002945976932,17.40181609406424,20.674031719493808,19.84896657081945,22.91889932445406,25.167224755896505,28.695875171914,30.812230492179292,26.6028855200098,25.142686822536554,21.78411821902584,23.12033659392731,20.555538295295865,17.61652291162642,21.423665065411843,19.15192193552893,22.45027633619806,24.848417656192435,28.129682902684575,30.335524472545238,33.28437137244069,35.256147466152946,33.610357779954505,32.34646761470651,28.657451296920296,29.990077325838502,28.379202490545634,27.889905073373846,28.596836810377372,32.010683718881225,35.57914404282696,32.674415375222274,29.930056101503872,31.432048090970294,27.619719424582065,25.67550030085049,22.35275994177185,21.13892029467801,16.67011687828318,16.332647091402098,11.972639116127263,14.724054182226805,10.633876436778259,11.79601054969214,15.189419459274971,15.755874981777318,18.060285313995603,20.21291232273878,22.70331949841432,25.939468159159777,27.733760839093197,29.941521965192905,32.732563380707504,35.01757214449487,36.021266636832934,37.6332276630577,40.96615323394878,38.83417289735793,35.5298555011482,34.229268034722864,31.58907519198014,32.19515293493691,31.60679444352167,30.513855078007147,29.241375955590108,26.672701456456167,30.718185578785768,32.904985036682504,33.61957799587033,35.48499993323189,30.740585229140663,36.264912946268254,39.5764242087497,37.61441103087223,39.99663081745808,38.59464297869765,44.09088902056326,44.11654789876584,44.92084603652628,46.04070163750264,42.0046754983586,42.27586374918436,39.87132173174479,39.766409499940785,40.07022159480328,36.27136576749391,35.654931430717674,33.21978125260835,29.66642761831494,32.456345114796136,29.110865821712164,26.149831233959777,29.097714978107263,30.235044774891644,25.433431562310457,25.943074353184077,28.931094135989543,27.999178903599294,23.331957592837448,25.85410740804503,27.71758126176665,23.535060979200843,23.403505288330194,27.702978169663787,28.47703928890362,32.10740486688277,34.57117564511468,33.32687097686274,35.454587857776865,39.968818085817475,42.96070256680555,44.8683153745879,43.83806019539195,42.508575354885416,44.01040793942431,40.79447315916491,45.37954627723424,45.504836732428245,39.69465429262995,41.641841245770884,46.10170106057455,43.02855318145075,40.3625441840839,43.41365207802286,45.191374577575615,41.27618983358162,39.53805645027974,35.83831238227709,35.92501910731814,38.340263811253884,36.520911996371076,36.643013824495185,37.75690709544627,34.2091326154943,32.63590316703771,33.812203123420105,31.94372282058727,27.97227248212537,29.08852838206772,29.336320898477517,26.4008392760087,25.702814021771207,30.388538438705062,29.17088288154935,25.073588356876563,28.80683477805566,32.5310139316225,32.861030745684225,35.2213793175106,34.16899011735609,38.51504123645944,37.81647051702956,33.03998936635959,36.47519324464939,39.0729296219175,36.47487244641492,35.394360887381154,41.324527340169546,41.12477900437546,36.45444764584551,38.705009895703995,43.60708222571432,42.11489668979331,38.84766945221135,34.47602345220299,38.90498103407634,35.25060480237718,35.40757247989346,30.211003149813617,28.611116744294126,23.623172726352195,25.20820207954647,26.75742263678116,30.332167561683548,29.170851877936325,29.896323339799103,25.36102093654875,27.595169675892613,23.92306882799739,21.702677378610094,19.24768670451614,19.35013769524615,15.055274990372835,14.99399046189961,15.799277148290104,12.604208483154839,10.639508199462632,13.198412224758936,12.766697252851554,9.23520099867289,7.7165875271792075,7.994214921732472,9.975496504483708],[19.677752684380074,18.827184785143885,17.687703603869952,16.1434939780041,16.81054011789923,10.78198361423268,10.608666626805416,9.278632374301628,6.256481904816264,10.222528354650498,10.311252752143057,10.301168185068878,14.10685071343712,13.796744559836558,16.55809818343168,18.07197273226915,19.517974048029455,23.781529882793237,28.0230556577842,29.82974688149789,33.66497206897633,37.12714033609005,38.913059125428816,39.38539721968041,36.23731956674578,32.18099101887768,29.7850082910344,25.469121130356193,23.995630572983018,21.631297953541946,23.286778305602628,21.6092801224729,23.708937501329213,28.221002953500218,27.15716700938553,27.098699848604994,25.761020880556856,28.945921370074867,30.053026308745615,35.665034322613536,34.656517139619076,34.18818203218583,38.15527644590413,38.98883097193232,41.908360664930385,42.017471842248234,45.83422267848808,43.35433868567023,39.67795664580484,44.871655721679325,45.83556409076728,44.43445395764086,45.92948651121201,40.538799161642295,43.111730104786176,46.53939934683649,43.57876333865318,41.116463919564126,45.409697140154435,47.181443290802335,42.8587941414931,42.23040959800799,39.186512281911526,42.11889700008003,40.764051967309875,36.49149000034207,34.123133416604084,30.00999913855789,28.645124912667978,24.925462513554066,25.57138543103819,27.80227558669903,27.94725467836684,32.0259075944163,29.75473700977154,35.35479454305154,34.75596899935304,36.095368523090436,35.73012175383637,37.67727399681527,35.2098701922264,36.114876761058895,33.00732451281189,35.15511648094661,33.03307951047444,30.475589239720932,32.42912266609821,30.981532358835445,31.485880590478207,32.319094743416606,30.37247416767638,32.68361709218139,28.719283346398434,25.68765099879922,21.328494119467035,20.869317948868105,17.076735688424925,18.41643590281278,15.470603179951725,15.492886512118917,19.457375423858142,19.174082353004614,22.63295580822378,21.99489039854837,27.355263912456707,23.847609332353795,27.136369730176263,28.127116099989518,24.756589410117616,22.380007359350728,18.555483960967155,18.69543850068843,14.434159379729756,17.379327288851275,16.428597676151824,19.37343550805143,21.729476756581274,25.158682207589894,27.46136265033796,23.393569992915612,21.80180612181491,18.37392558268707,19.527419678434384,16.936548886432153,14.046787131319444,18.044747547016406,16.35191130502668,19.589732433047967,22.282065346455287,25.671909480804597,27.771496606491947,30.982090526120274,32.64490641595375,31.17727078885483,29.51562607637556,25.65479905364489,26.976468417002838,25.052023899471127,24.38932725441892,25.12932768184775,28.417985557865286,32.02957684789956,29.200898970368073,26.475994983850725,28.12928696919124,24.462742455194086,22.386630430199283,19.28549863070877,18.30368683779712,13.878684057035255,14.24620361487283,10.36050851024151,14.206979364683523,11.512000187123173,11.866001836442349,14.408458338974722,14.024714211557143,16.334928115734602,17.976332697863526,20.35381707077295,23.054717405887953,24.8374801336614,26.695102976070697,29.695960618959493,31.88061583114295,32.659691790156025,34.45067323066391,37.695062945319485,35.64447572909387,32.22798075405183,31.05702237145802,28.33562818453818,29.161628792012802,28.76189630701076,27.854175245521866,26.950679775693445,24.34359414596509,28.781812555356584,30.526126575743653,31.38155079439792,32.852303639745124,28.263014470393504,33.74559473214142,36.948489541495526,34.7954959396088,37.09233249797763,35.582682695309096,41.07501165814961,40.85516668817939,41.79854867716533,42.92160887255109,38.968876585151634,39.33217531427827,37.01184203088842,37.053047319804655,37.489694154429806,33.621296494115185,33.321040145792715,31.067232638179686,27.65981365466972,30.86000719447512,27.766410302872053,24.533642761803275,27.577080050995836,29.178730562845313,24.490515018135987,24.599155811552432,28.012245167528587,27.63953243905093,22.854000061365237,25.358218306402474,27.64783602074139,23.757901800821422,23.29328214993738,27.727727107552003,28.048053961032085,32.104729954578936,33.7847217413286,32.585654168161305,35.05115285275399,39.40357921357492,42.68172718560202,44.31388633010875,43.33237173548492,41.733021543618115,43.18263884077214,39.81399546140061,44.22930245620227,44.378590757695214,38.38559576935433,40.18753744749943,44.54205864813534,41.421975856199886,38.58820061011776,41.452264332987795,43.23913001137727,39.339300396302235,37.269655526734255,33.91846148739556,34.01552566253273,36.663727642653356,35.25981699723996,35.48392304118066,37.04383481820691,33.328455732952314,31.493330813419888,33.235118869937175,31.58575625227044,27.293104920474757,28.546091411139766,29.36390556337038,26.61524827681277,25.650078396314033,30.55843092048004,29.777791829710107,25.74673123495489,29.185124765323913,32.98333448802503,32.92037812046315,35.12104136812861,33.732789223765224,37.98036477859295,37.47985421173819,32.408902068655216,35.56713065920346,38.24186019962676,35.645736588459556,34.12185602639556,40.10860316705839,40.0196829561591,35.10137377356541,37.06955333974091,42.12430746619759,40.71286380346754,37.28506379521896,32.898104078813844,37.32469774135124,33.70068116845009,34.29794343914389,29.04236166642143,27.44425046093381,22.609451133396824,23.97185416789017,25.143349617294664,28.540817811018577,27.097860729674316,27.968044559510105,23.231780410542555,25.4122791422198,21.45926013577127,20.139454805061007,17.899001862974217,18.672429691132535,14.563482242661651,13.553535304646216,15.323690639441542,12.838591747583473,9.271554910900006,12.251381129000315,13.202503659390702,10.593631916482458,8.63530767328849,9.42523577889482,11.937256085814276],[15.809957987150144,14.679363431039722,13.191828011872046,12.527428551407299,12.970445154149967,6.83278457003511,7.907262565391732,7.020389328153562,6.577597325695365,11.273961307708065,12.723143341004457,12.583233886723757,15.309553588663913,15.785474313713808,19.074694211825527,19.971873812858764,20.838490191117092,25.454192636196336,29.581396267582253,31.013575776611773,34.9906297934493,38.12651828833351,40.05964621157228,40.25896439853447,36.87961064628548,33.03315728336553,30.253520745399904,26.04739911740171,24.961649289978986,22.585028871724212,25.50886499745989,23.120817327333423,25.774335431506834,30.29915295381184,28.652185801409264,28.44668990627419,26.454793609342524,29.426365920540512,30.067345704407167,35.30562175997418,34.40239450381517,34.66795811942744,38.59681142889397,38.99071676160206,41.864177787833945,41.56312056422245,45.410684597521836,43.10736790297206,39.033148019436176,43.903771032529754,45.117418381518576,43.65260359979402,45.47471298263894,40.201397769171685,42.961862348571785,46.621576449360916,43.82467421144317,41.61936338834593,46.0126025918893,47.754065694817754,43.74537018580014,43.611654695405875,40.841758721220046,43.87174116445885,42.113538660156614,37.81619432695425,35.937878012136224,31.967330705848035,30.846588940153424,27.519745535651197,28.1755743203621,30.808445559178892,30.92534479744172,34.669825170648814,32.26388036432658,37.91115731403005,36.68507383643855,38.140080272621766,37.26085776829568,38.75774130462843,35.857965013926304,36.2035489614538,32.777588898063016,34.39444151335012,32.371933727578394,30.33326304211466,32.89681723684271,31.670103643743882,32.76119131759108,34.07264429753707,32.54801960785653,35.36490945618475,31.542263429657986,28.491465861713895,24.06352285670808,24.218419551702947,20.363621251528638,20.913267030201414,17.534355949923768,16.995134786455356,20.428310363868153,18.771017530959444,22.389824386100063,20.536246775953106,25.40267673491364,21.339300848919205,24.13603471761571,24.767124450775327,21.04131052198123,19.083572000132158,15.002060163542815,16.093488195872943,12.327915747815315,15.830535374890864,16.30347770204167,19.106142596046013,22.1488219462831,25.401601423088948,28.541785857343115,24.778336164449982,23.186860135541533,19.591423470609623,19.87158606300771,16.704237295604585,13.094549382683999,16.02583462779201,12.94869520530313,16.54361850276565,18.879633275630702,22.63420095330805,24.245016770562383,27.392357056894888,29.444036528385347,28.28737009840776,26.66571486910822,23.098662463543977,23.908468018714593,22.782835968652652,22.709073062469248,23.773731693048674,27.608845250193816,31.48559921826908,29.063850351056914,26.001236943343862,27.726481431012377,24.406500103636386,21.99623605591228,18.86031948907127,17.14509464664909,12.838216900195514,12.22718031216535,9.470725928251007,13.041757430235975,11.376901315108338,12.959445920236092,14.673368959638234,14.331350305648296,15.35205856071585,17.7564216348405,18.732040776650116,21.516883451482485,24.23232035546188,25.640893652951956,28.80173847450831,30.34208487456311,30.984649792943685,32.244200767497,35.449083398324326,33.00794301078639,29.8761462423271,28.55222435719798,26.28031976568247,27.26050861128234,27.12331275467081,26.64075572791086,25.747829224150085,23.92093560412659,28.172849368191105,29.685194104385605,30.091483675985142,31.288658059232066,26.16419052976849,31.380226241672936,34.54435169250015,32.57562210926546,35.512313693067625,34.54637577154065,39.79201481341579,39.643980884299836,40.09269976721903,40.85630424482786,36.855985818626415,36.710935109190295,34.11026304930146,33.848318138401844,33.92834221068559,30.002987026855116,29.41333442087882,26.867453567400585,23.509912542086806,26.43328174745692,23.417796557169343,20.143491920198812,22.963196975247513,24.533080156927518,19.836424739057744,19.892534583147125,23.258307567613784,23.01054176670164,18.16646631514664,20.704045803787533,23.078944562307232,19.348173477757946,18.928872169402172,23.378959139936487,23.547283692004576,27.61273576972547,29.199101817436077,27.877689607659647,30.361595720191648,34.6715981287671,38.010762165620946,39.58625041055364,38.66153753773902,37.08099595336824,38.639118756450856,35.39448376945533,39.81714547149761,39.797118512278104,33.82095463627253,35.79874680550501,40.083275012328656,36.883247902722,34.174034389405605,37.212077124009255,38.845712578481695,34.8986484438243,33.14822055737106,29.525830746548742,29.92479649578162,32.4818484575903,30.93958005883093,31.44369470819125,33.0489931563096,29.574674145087435,27.406778236395656,29.0294372554291,27.729231639146462,23.28975430370695,24.18328515080248,25.244341983409928,22.619437628349168,21.27584844100992,26.238726892186342,25.7321541348337,21.67363082322564,24.825622936706072,28.666538942828367,28.394476995604045,30.609542989109322,29.22791319897054,33.42347594183516,32.83513314097531,27.701583822869814,30.910822871620873,33.511121037453684,30.893715827885444,29.418540738303832,35.40398382948294,35.28667902190589,30.42202426736628,32.463849590952655,37.47256845369021,36.08924617854805,32.736235901577245,28.41135759778772,32.96431796049427,29.490404846863136,29.89291031711666,24.725719554723042,22.864887436295138,18.049637161216246,19.76369887755715,20.87311702449681,24.349987382580043,22.914700248512062,23.525819723603835,18.89066908682649,21.198451982367047,17.54949094299162,15.55351024136496,13.507576581346338,14.171399349059275,10.56655042868591,8.954373450460391,10.671283877870497,8.713846003793574,4.691015889802104,7.776861169616164,9.394742797416477,7.8215552759651,5.808126774124383,7.878165303331421,10.856630230169266],[16.26245697647934,14.602329415679797,12.641742356630584,10.612250954122144,10.898949620664562,5.06347695913524,5.423247293665138,6.568545081832475,5.298015775165376,9.191545806938334,11.399639292689024,12.458925116021025,13.940650672193257,13.74480684948673,17.77318591287824,18.813221185414093,18.88193313010019,23.569747367184195,27.252473477139183,28.952464458115927,32.76533360359593,35.98509489381848,37.68845647528438,37.634648539221914,34.379829675806974,30.4560687174253,27.836366258257204,23.673885415249938,23.10506431131526,21.298760833419927,24.47405525234297,22.63706967785379,25.689089529074167,29.9252961750778,28.001490811406068,27.235176734182037,25.552508770476333,27.788872629936364,28.169566917832945,33.59295366237067,32.18029956829189,32.54626056825083,36.64580888474393,36.90712448667902,39.5415036839369,39.11628329672797,43.06441321470707,41.00810696095782,36.88576044747239,41.791570825626465,43.27259174457923,42.00973500975119,43.982036793676386,38.666965121323884,41.738434344089086,45.19849246591338,42.161194900419,40.23523459209365,44.739830757749594,46.13949176001491,42.05296642261967,42.12866158344929,39.52560367915409,42.208172654025624,40.284709298967705,36.11650898448563,33.971491164136985,30.223829328300578,28.73443859724065,25.690476382948955,26.027732218270316,28.752373487735785,29.23344946314649,32.849654367240866,30.833443372315806,36.7318640017262,35.399503601152574,37.27738348950833,36.295033450010116,37.62650869734041,34.975583125758895,35.081964945746584,32.059716687918375,33.36265078318016,30.948474164407177,29.131773407664078,31.503456781494346,30.853277012822662,31.52423522126883,33.42385576653524,31.642264656065386,34.571606813367325,30.85766860653834,28.114915010903086,23.490398730459866,23.86651922562297,19.728212523808228,20.928348556736886,17.792242602707706,18.345332165379645,20.816685896325883,19.638360688812334,22.421761560942937,20.78563866424041,25.181372681087275,21.022018806399416,24.14124511153085,24.32994245940146,20.592213711093585,19.02771208955053,14.581194438238214,14.8349434377603,10.652355110605166,13.424840874543245,13.76480921357629,16.136189420706057,19.393589417609324,22.314435935346136,25.710882626649326,22.278432561749113,20.381397995410538,16.7771044905617,16.559854469180205,13.406039278385865,9.833205611636238,13.136165356978506,11.038421853933437,14.71044537054135,17.534126378862457,21.57131252595122,22.801902046079345,26.39351539793574,28.011126542188766,27.240518954420914,24.92878411274294,21.095886130106233,21.634372013635065,20.01591320438969,19.567107156859866,20.907144718059847,24.386838924523232,28.426564926231237,26.20250555633228,23.233361183126586,25.28952561228583,22.27849097815387,19.653356939891026,17.02871559618874,15.76402325126013,11.718852013576978,12.248623595541433,10.45179937575008,14.886464236867777,14.236222602687587,14.97439025333667,16.015379613505143,14.677528487931031,15.720811225802189,17.29994400622254,18.089753348135094,19.929034290073915,22.6020776153129,23.342030175955315,26.87759890578348,28.207080700601537,28.350058916665088,29.920851284922275,32.90373719896101,30.518532236372838,27.190202632619894,26.163647343751048,23.828432954510227,25.3075043934392,25.535750429121162,25.373086374812363,25.043877815180096,23.161532525651324,27.873619918178683,28.784826878971753,29.401857820140766,30.01193612895584,25.158910824694875,30.239937748600823,33.20752066441966,30.951177855997532,33.77126290273891,32.62839687122118,37.84477674875248,37.249428720463165,37.945528274778525,38.680221008366566,34.839609469696505,34.782228362689146,32.27873468477594,32.203580906220154,32.39328879062798,28.29407174621073,28.18815670487811,25.79209590306499,22.799048602137056,26.1758285704151,23.631872455431807,19.999860271652572,22.677992908046722,24.884640615566347,20.433429474629122,19.664930285891295,23.551647706746976,24.127071825899716,19.084199617030176,21.351261922285662,24.209940236598115,20.91831923712517,19.84965600137082,24.314540222002467,23.989759385762014,28.571329891515173,29.164869737138876,28.10501856908694,30.99805978616764,35.16224426839429,38.74425794351042,40.10205812092334,39.387762805166574,37.58510720551268,39.16917880618828,35.86064309663554,40.04114866538415,39.93397665344869,33.78214936987809,35.67373865812843,39.723053310495125,36.38413514300847,33.55049797351541,36.3931746438607,37.867319882338705,33.884220052475506,31.85941078425552,28.693313403891995,29.34037381288688,32.18365279165137,31.161487815711435,31.89407235326864,33.99919102784224,30.444890449903305,27.91913031635905,30.113561588511075,29.15881725763707,24.44403000679917,25.32806520997771,26.997223166201913,24.627662731017956,22.921708850531274,27.970715296256497,27.904622930383866,23.914147772312088,26.609305706637866,30.486617304299372,29.799812323890556,31.928328612097356,30.29705443468544,34.302427938229194,33.791928405016854,28.379167331121245,31.328811995621507,33.859824036290576,31.182319705743904,29.26872047474895,35.273565610076176,35.11741846479466,29.95415093715391,31.752953169194633,36.86106183067954,35.4246104585499,31.85624108844268,27.46650241234355,31.856982976437106,28.313961485082018,29.313808016959644,24.076562055281364,22.490147644443102,17.960014508904507,19.060472698169672,19.768403110359916,22.971247403192148,21.315876879494816,22.369646698705147,17.645143040324374,20.095405599078898,16.113109499999897,15.434841798999237,14.025557147775968,15.449134841674779,12.53406820228409,9.508298139873302,12.069738098202391,11.329293310499418,6.208670243145665,8.443676913758113,11.513140292879687,11.029623130664547,9.346711393706826,11.40003679241438,14.287857710018914],[17.856949166454473,15.709700971164775,13.2361042206988,9.916559006565992,9.574764013720308,5.666525580384221,4.414456314600339,7.761023466106391,6.2299793292534185,7.954038377637476,10.988620875626271,13.230848760042788,13.055762237432706,12.14587348887789,16.875135329176782,17.949380167589595,17.000872759422812,21.66670823937522,24.748271246966958,26.6873157970905,30.27958814109204,33.53137102239387,34.979862109875505,34.62464938831172,31.509737206697988,27.552144968089195,25.113556901310357,21.077168882912016,21.17326331276251,20.094519930488612,23.58571987443996,22.350538240007705,25.805341370582383,29.633401192428433,27.386543459110573,25.990727894534864,24.64788434262395,25.97552060714576,26.018723770337207,31.56644161550618,29.59006095111673,30.107877720542092,34.35912038603988,34.44461194065211,36.790693637899764,36.214766206418716,40.254386273352694,38.48809805020492,34.326829901062744,39.23270597301237,41.00617921670789,39.97147816575015,42.10592326530064,36.7916983806812,40.191507596633095,43.414456941265826,40.13956259854193,38.55508171922336,43.153676547511765,44.164352544528484,40.039896789408104,40.38729931286226,38.01690060325392,40.30290138678449,38.171515037932025,34.18437639571053,31.815798687684612,28.383585476131717,26.538757316038826,23.929105601082362,23.91020452800262,26.76585977410732,27.618860660602948,30.9816344827326,29.403360267157304,35.503126193564896,33.996477478541564,36.33236028606425,35.19852272401801,36.294266547852544,33.92310489236968,33.72749006193377,31.18855083126647,32.0998769393658,29.277315913072986,27.763523564062783,29.910100337360085,29.93818949652512,30.167358213043777,32.73815675626376,30.74119064736552,33.81017696060846,30.292095976478787,27.937864354906985,23.20737487167955,23.898658579722873,19.592957240757247,21.34428402129939,18.55865734384734,20.1504198608644,21.502725023126708,20.79913559296813,22.601303060254676,21.225612010555327,24.97207290198971,20.839168190216135,24.241387514585345,23.96137699191456,20.361886823513974,19.24865107797402,14.671501114976763,13.872634681361042,9.538024334411286,11.03852061851091,11.231329894192482,12.8944103886753,16.406536994044806,18.859753942304728,22.59805005793588,19.64682259444598,17.432918621333883,13.895738867652703,12.932362611025468,9.792420906037703,6.357862388570522,10.09238011306889,9.68196659109515,13.082836804109238,16.380920959914192,20.552725864304186,21.366947646282163,25.376330636565175,26.434347877993403,26.08783116106546,23.032726906636334,18.956047654808497,19.221947506170057,16.96224900266372,16.027895544301106,17.671053418489915,20.700388825983705,24.901737566747286,22.939598899525397,20.100386436321482,22.52692223502521,19.964331032962622,17.122990491230308,15.242964091076091,14.582761499140235,11.201663944880774,12.951853419356558,12.308788161185474,17.186175676239735,17.49866867801425,17.525133480614667,17.83903835303993,15.591373404339473,16.53491419476988,17.15321131971048,17.651773197959105,18.298639671313065,20.856825660839437,20.759759151642875,24.683155493979292,25.741662157181697,25.308242664420412,27.238918968474216,29.953636449677308,27.68329636618851,24.14161177299169,23.472117472225282,21.067651931346457,23.10492530022882,23.75493975352278,23.97120172144683,24.298629000411374,22.42539349787913,27.53308296677326,27.742518631718113,28.579421646598178,28.51092679902437,24.06741077998293,28.90377329929866,31.609080801188494,29.04990768410221,31.690621841325417,30.36055378060258,35.49333035852072,34.40377156560732,35.37345413499713,36.08271438708176,32.44989517854023,32.51886950836299,30.170524437860518,30.3328995845733,30.687331467798252,26.47025048691884,26.940913045244574,24.82726448502041,22.284367532510405,26.130408589749116,24.130416020111383,20.246619556653453,22.77573716880434,25.60054220066451,21.5427812507429,20.04396985806836,24.35738896223707,25.71705594212303,20.710716189167602,22.697837890478407,25.95404535224779,23.17164099464928,21.62072982566669,25.980905720666467,25.13775915249618,30.118146819943345,29.660545810233018,28.826042335666564,32.08943169103132,35.99632576651399,39.81876824186701,40.881819480748774,40.33458784884647,38.273433179030626,39.82021697840372,36.43446422937562,40.304779677438326,40.15923609533665,33.88351185684694,35.59993244857766,39.37544442219418,35.961818734099054,32.986457900783726,35.535780708635066,36.88602239243311,32.94134822917762,30.541165924752192,27.98558743920816,28.798001038318976,31.92128894928851,31.50684181269566,32.4229053322864,35.039635754965126,31.41370916699562,28.589610229944448,31.391689015249757,30.767206585279563,25.86109447888814,26.792051764531053,29.044575584146948,26.965430867069678,25.001717488055196,30.05924014612733,30.432777132777282,26.61116949199291,28.863686156844818,32.70588516064143,31.612811729556515,33.56439365033068,31.645141312813283,35.404633781193695,35.057606267361734,29.436699912494703,32.00168145000569,34.48284752175824,31.821594463829943,29.41162891577368,35.34432032811863,35.22827501886082,29.818959902868897,31.243965760820185,36.42899181286842,35.022914540831394,31.26945813478331,26.918388080732434,31.09353467912248,27.591944354738416,29.252906244480297,24.082078935279323,22.748630227216818,18.72181416247236,19.202041229861003,19.345545960372878,22.09862597123532,20.14327594243594,21.59314683051895,16.867389409032,19.274616420214432,15.026659148450001,16.009089161988555,15.263476730906314,17.389373359381104,15.15061609299045,11.272855314591412,14.480768388067903,14.65113089586503,9.199729117714286,10.769967010256556,14.69550784788372,14.896639000785237,13.308553372470781,15.284177713892166,18.10488598689065],[14.045854407564542,11.870776267260453,10.37222658028812,5.573359218812137,8.400167484441317,6.004107866875229,7.92509110860661,11.83728140389829,11.216887096651138,13.300760841443573,16.21962807589883,18.419664229286962,18.403100568438063,17.228306743838413,22.109639897904714,23.282572088014522,22.021214790615286,26.612926720062237,29.217494936467695,31.32555812642172,34.71325886768222,37.91751700653893,39.13553260553827,38.399127055369746,35.44336208332077,31.552820105406216,29.253274710276564,25.449009807442113,26.059503704700507,25.255473262281754,28.88482493370387,27.692485718336865,31.172555167872552,35.00587095056371,32.68523131757018,31.15165231837553,29.743596382580346,30.707018353044987,30.378942920578673,35.70222221196117,33.42906402166322,34.40348520366378,38.6953646919634,38.45237718362041,40.491773963543004,39.512949056392344,43.614107121901064,42.25665116137384,37.852709928327684,42.43580475147994,44.6177032859677,43.70133571936548,46.13894430002921,40.95348581322408,44.584109087972706,47.79900814545593,44.50549803201878,43.21730275998503,47.86428509015611,48.660626468694645,44.652624814038695,45.26081996786714,43.0497302599481,45.121531731913166,42.83339032955588,38.98418200104626,36.505013635014386,33.29833823979819,31.142778407836918,28.742588214846354,28.378377840363182,31.05599779361156,32.35280853512994,35.69508943085077,34.45534712692144,40.6326448446088,39.107554269433706,41.592024169373126,40.374112172422734,41.29892362537135,38.88996046600263,38.37702504698578,35.8241507888048,36.30465072094725,33.43548209064166,32.36487472608921,34.67878928975324,34.979824207903,35.24838695850082,38.040343331674585,36.02523305439311,39.07750914648671,35.57418854073795,33.268659987775045,28.53156180913717,29.074342827052764,24.739695831689875,26.662475295788163,23.80472567253831,24.951707767716027,26.63632362214077,25.3514875800011,27.389626330249392,25.313857834247685,28.569280556864832,23.994187092836373,26.751215638523444,25.8430348286614,21.764794879148273,21.542121469877983,16.729540496939933,16.964603947267484,13.418735096946833,14.741293166986344,15.823066610712395,16.66827704929574,20.51700384016035,22.176670035975345,26.413772096514656,24.07529048852076,21.500686816475437,18.172544897839856,16.161859444800047,13.282409534533645,10.181984458028523,12.522770316469051,11.155702532443367,15.048923010838296,17.929141270930977,22.738655122397077,22.271954448826804,26.459648021171482,27.82261606082898,28.295492024514324,24.82482218329441,21.106775063729494,19.926584776643004,18.43204305553466,17.6264051507138,20.2503371300996,22.882833894029226,27.503326026408274,26.278382974262552,23.505182201412968,26.289237359358665,24.333394651133535,21.271496418938053,19.85368436701398,18.956974414590775,15.909062353786561,16.918186449380592,16.61398685358294,20.978280919630553,20.82968883322258,21.786710140945615,22.404120657638725,20.544375439006526,20.986464878673207,22.06657361884301,21.70333261939619,22.059122903250756,25.193000588837943,24.25641211516574,28.48389539670173,28.732206781751252,27.506681547366544,29.127139644358614,31.33160100286006,28.543420370077847,25.248574037582543,24.920668991890963,23.23531307613337,25.98459491518543,27.180646805285903,27.938360050417824,28.448130806920087,27.107172494716202,32.06613408441422,32.02035040873963,32.56869765453037,32.04673305200379,27.334611724560435,31.663297423648437,34.130237352364105,31.644314442300573,34.830089059988566,33.885245719862354,38.660701992175646,37.18500109089988,37.91144513075458,38.1372793922522,34.712391985706915,34.166088479269774,31.534529503329818,31.36425047870922,31.10418141708618,26.589679154792805,26.99955729078019,24.237734279896905,22.397582894572533,25.645073815183316,24.21271363175936,20.1948309504052,21.530012081609655,24.560533073769612,20.676600469893394,17.89585343770942,22.263698609553824,24.371476727820653,18.75113832540745,19.987556404108748,23.495262897104276,21.094801054511308,18.482298340236653,22.64879936995345,21.65611738061155,27.03039439073086,26.048362730223996,25.86822634565369,29.341706975765423,33.46764193913956,37.159574175172736,38.527672452765685,38.61929144958481,36.86958157062714,38.89565158227876,36.014508019049224,39.80292471783966,39.02773780045651,32.839597002809015,35.11771954051394,38.43946811930066,34.59094439661216,32.04888512582101,34.93941324017958,35.45577363208562,31.22622252737398,29.757278336123587,26.94431874570345,28.988101058818664,32.00184404393458,31.446498942779808,33.055697125229436,35.668535246776095,32.61126082801306,29.225562811920017,31.583632980403408,31.614534756115862,26.696867875657066,26.685907492316538,29.09748021176384,27.171834989490517,24.482552432430182,29.303815656226693,29.864632579347074,25.774520876113453,27.361771754738776,31.277961915123726,29.961687954238542,32.34633361059751,30.86234849177464,34.40088119955526,33.38863744662987,27.743084645237538,30.713452943819135,32.560573618175304,29.562346251078317,27.521210347266233,33.38070306050268,32.55498703044421,27.0878840279586,29.045329563310947,33.89756488871614,31.90099246567546,28.078902281883682,23.511689980148088,27.270680559309145,23.401553700391094,25.166749254149526,19.888963012765306,19.326077808818106,15.452626095083678,14.96960743779902,15.415554255965532,18.17350649333239,16.85970592783309,19.155009694466173,15.335250812517613,18.763367167070363,15.253239620385832,15.417749997388622,15.865276362772951,17.426926132037387,16.441569864947283,11.736164446348493,13.406479847136588,14.778500504328662,10.5831431629909,9.02875592475955,13.18890753178953,14.83913113443907,14.396603356088002,17.1610031731835,19.879635591137387],[18.396118678520097,15.884014298229749,13.902709341510576,8.53479507453859,9.75956807371515,10.526502574234652,10.702634266661178,15.255851304311602,14.451976316257635,14.60717988039476,17.830692392409183,20.92494752157926,19.311412156594347,17.443305932449633,22.648751582185906,23.791168765042563,21.342829499158345,25.545133311075926,27.07131091912001,29.458293164905395,32.35412678530779,35.49853286494574,36.25962989226446,35.01725821349007,32.400002531949646,28.61024647957514,26.72843710793973,23.384101606630903,24.98635006697648,25.217378873036246,29.047858987508366,28.642045733857653,32.465624081551574,35.69859488470978,33.046961040997765,30.75750788447252,29.847625609531825,29.52961773560901,28.696125602831803,33.97028202175239,30.889207213910627,32.11664000208089,36.50503335815048,35.952739695734685,37.44806866011597,36.19428373679644,40.36052361827269,39.545387552403405,35.16008591318538,39.5940650831506,42.238622438849205,41.672995856517176,44.33628302280578,39.28036940564018,43.33125295319468,46.1392208252583,42.5633092547358,41.82224984303778,46.514458537535695,46.71593013363173,42.73958868469882,43.74668731637711,41.92177619692901,43.36397925487121,40.813929379265765,37.34167605690066,34.59706591013696,31.980595654124595,29.36881044708196,27.72116384112488,26.83058958583389,29.53417096676711,31.355559504828932,34.22174185197378,33.66802543276444,39.94525042427647,38.22530186388133,41.27701697242838,39.883420850640775,40.456892565794014,38.48796180430149,37.56327285599228,35.73259430185547,35.63999183178218,32.29663902596795,31.721356760060807,33.6528203226872,34.874812858370994,34.5474573233327,38.15523879889847,35.911166276601904,39.0584994155674,35.898071336317734,34.14369837196773,29.441153237136103,30.322340152064054,25.9782755813688,28.437481577234266,26.053627515137688,28.215330862117906,28.714756537361108,27.990785169518485,28.888481307005865,27.191383536603016,29.540306218723334,25.194072785828602,28.15907347664944,26.662266742678547,22.97530119105513,23.356957135958783,18.74904697527199,17.760514664087967,14.653395812284286,14.112205106686043,15.01039533855005,14.386566466625386,18.226017977593084,18.7228081142165,23.355590673479448,22.062045759193467,19.145462250323575,16.37216514991822,13.052885489381282,10.935510555524766,9.337016620351351,10.914344398346003,12.21440612666024,15.064361241380036,18.205560459548785,22.863706851605027,21.68043326289764,26.27775780671214,26.759283803858487,27.925389426988716,23.46886668654825,19.688140056600314,17.852478043667254,15.508121299172661,13.847815373880476,17.134790085625202,18.594836736446158,23.41049125151689,22.883581961994473,20.530833246521393,23.80553287193725,22.771345786952928,19.617197648824497,19.464699169712308,19.390335323478304,17.449183016107725,19.526682946014933,20.17597551811619,24.867171637310683,25.588219847506387,25.815358226019967,25.75706726403344,23.090068173246213,23.44076495317868,23.458713691208903,22.764998270133837,21.55737318438939,24.372662422757244,22.14090488782303,26.759729645426734,26.459779963644532,24.18038579729365,26.296475527982697,27.871315584735576,25.279716407093638,21.77835584321611,22.18447640651909,20.632805153134576,24.248102759735858,26.083566428109982,27.392233615882105,28.764140432884556,27.52492045835299,32.77568014360111,31.807970267891232,32.61416917133705,31.142247349341304,27.18537734430617,30.941068731350292,32.916552229955336,30.0643150183628,32.92855461137402,31.775978268201843,36.236396532782045,33.96238770072992,35.07971526488398,35.195572830403044,32.222319963362615,31.81456678605082,29.48084615306493,29.659192074613404,29.599550995676772,25.02390952640574,26.349998241787976,24.10515532395292,23.108353469736453,26.835619873488785,26.232146883155504,22.106411721245504,23.125459661323646,26.86214889496614,23.695029215514666,20.150050310148,24.820006946022456,27.84538322427914,22.603744203714005,23.441932668781284,27.269298565185842,25.589527375357648,22.619761432207817,26.40913121720284,24.759312679804072,30.417531639044338,27.954305744274528,28.12742582642952,31.998869056567063,35.62722580380584,39.568749308112174,40.48789328269834,40.81943934890153,38.73796580678344,40.6721415821382,37.746122341073566,41.01392167994566,40.18531108209319,33.966013255527976,35.94459036191462,38.764488016007576,34.87028977734043,32.20365437447107,34.584518402062045,34.831152407214596,30.75181398534304,28.79863309386694,27.05040750285786,29.343407936897584,32.660586994189174,32.98405410874756,34.80606678973248,38.03795455577372,34.94711601732503,31.27429743332701,34.364219547136365,34.78627422812702,29.760537613785946,29.851232270927376,32.90039872159735,31.34866299792782,28.495148338683638,33.20664795756496,34.273691320422124,30.49789407316617,31.57345963980568,35.339708286307605,33.54842168071822,35.62030405178894,33.780690260360316,36.90410274968505,36.15183757971105,30.392712559044092,32.72300488034378,34.44116338801728,31.559299347421863,28.867074525317655,34.41999123403783,33.65562075750592,27.993142987073195,29.308431660635446,34.11507391328261,32.1892072653414,28.184248773846395,23.86668461704591,27.0538817250812,23.391846406604493,26.212826022523444,21.347527777707782,21.2627873588154,18.493059761580643,17.099876180835015,16.56255341120403,18.245401540447343,16.568553702809112,19.47512011577182,16.124846485855226,19.232528874476106,15.77608347882897,18.154318243382114,19.271226637408486,21.525158164917656,21.05357706527229,16.051502653675485,18.401266117001953,20.274692635638978,15.679563885691833,14.54265419734569,18.994062591151703,20.808346647029463,20.133991717991183,22.678314797238997,25.382213079704236],[16.068837631105616,14.065761548032874,13.516119808837159,7.740379202854442,11.622503703363938,11.593254970698212,13.109998159709109,17.4034032580243,16.387975466580404,17.42876001356535,20.29491830526841,23.206146351821967,22.519887107882152,20.466189700867027,25.61852213380185,27.061216100086686,25.04688555989196,29.286726386575516,30.958172646323657,33.53921835429101,36.42508176493968,39.71415269143141,40.4070756901557,39.189242837200666,36.67830926540776,32.795101797820394,31.02634876158647,27.586646969174126,28.969012875827794,28.956629777576772,32.39920172534143,31.96773449609211,35.54861836377696,39.02726557779447,36.63232999589156,34.57032640084556,33.65464586683803,33.698475047386474,33.01351776678623,38.33805175769765,35.32308772954352,36.442003810015855,40.85164235959978,40.371870440621045,41.86911436748366,40.61070448346103,44.77047332483743,43.97828094198824,39.59495942443286,43.984747653698136,46.638808323607435,46.057986083827785,48.715665963307906,43.64179520677645,47.624951998189964,50.48910815990241,46.93024426620143,46.08714864073626,50.768431796728734,51.04940956173296,47.00093565428405,47.84483549028971,45.873897740647855,47.347207440162514,44.94273335446342,41.432307884237275,38.47965200173733,35.737496186182845,32.94393489014042,31.002555175603014,30.03401422090604,32.43365027532458,34.437589193566225,37.60516378604898,37.11782874874579,43.43058937178259,42.013677233249076,44.93873752213545,43.74540257691511,44.51386307188902,42.51143799487719,41.746503028675235,39.73036325386751,39.79577420922155,36.55784207480653,35.855562308239826,37.82331635686787,38.78757142430553,38.486933684645614,41.78488138171281,39.43395318331846,42.360978503132934,39.022729252629375,37.112149581950085,32.37463083381253,32.851160477054044,28.471188174788857,31.135538000475602,28.62857566605924,30.34189892263979,31.643807837216254,30.7357849291921,32.2345947867423,30.329017424647528,33.00793521706454,28.454768051044205,31.136881117067116,29.660873628805206,25.649959322121074,26.097373119637986,21.344081295005815,21.16463838566673,17.954528176889145,18.106745046406704,18.949744856780878,18.64737112152061,22.38902250279197,22.94069139474263,27.332141438275347,25.909047106153796,22.85525170913602,20.03339638024307,17.035864227186625,15.045240860861789,13.177229521860244,15.044307003924855,15.12430941008861,18.491793494155587,21.35584732805272,26.261497275830514,24.816361402382498,29.30433301922403,30.207577695294752,31.479925129230757,27.206194538471866,23.60713996644865,21.395363080971656,19.632066171457048,18.17858730697897,21.55685055632807,22.90827781338032,27.735239453518464,27.26301465397361,24.962221688675037,28.22660613428471,27.03100870446431,23.89887500465804,23.438367374470914,23.114520250733534,20.6701784060355,22.219961261969793,22.254370211364872,26.757603854816093,26.627524799272027,27.40680926918807,27.97399061330231,25.776186502592292,26.27173002743975,26.798082011878858,26.244268044020313,25.57460735175002,28.52896648690853,26.527456504349296,31.105910905055154,30.783554172718706,28.47796438239603,30.39293730850865,31.83665097629935,29.0129264616915,25.717783101772824,26.139879352236008,24.842515830382894,28.44069756430015,30.229946999542978,31.468328067108622,32.579592617908546,31.31568802499679,36.48420972202004,35.82477116088962,36.51459082554692,35.25654303207402,30.998050841031496,34.79115347462134,36.827586801952584,34.111414118526376,37.20067482822884,36.16274329207213,40.59891630710265,38.33262638406066,39.34350342345317,39.30985525912716,36.354185649363444,35.67589231690862,33.164552502357786,33.09317779683526,32.65762544375621,27.991677862065586,28.994011098298426,26.22879331766079,25.36426351879374,28.50315937417787,27.895714121694173,23.81633704357393,24.223420037871293,27.7237550012978,24.414444895091883,20.435646033513727,24.86563788982902,27.929210541712045,22.208492663561337,22.604432647285233,26.350942930516087,24.614475172444813,21.034201843757,24.678755340946807,23.28535240368095,29.040044640453193,26.792626141189146,27.475591464565404,31.281585426742915,35.268025141416096,38.91860375063826,40.304868860763506,41.04696087851566,39.36422291862903,41.655486398048176,39.105656451270576,42.50684228115328,41.28095387036173,35.197494111000005,37.64087745039655,40.315999508908526,36.16621882594003,33.88015826257032,36.632027894937046,36.374408306131286,32.08514504025447,30.978077580213302,28.747395768320366,31.68529989252675,34.794868257110465,34.6878902163608,36.789223354260905,39.717870450851315,36.947781598740406,33.15811116042927,35.64358202050444,36.20869772132636,31.2765126183589,30.827725638144653,33.58715770673548,31.920388029627656,28.803210818694566,33.34964228635451,34.213161667684105,30.12545147741821,31.051573479857844,34.89381402939731,33.23828649014804,35.757988088857765,34.41449911439483,37.55033676517245,36.208159695754865,30.573983102218815,33.44318315128758,34.72078944564123,31.562867252742848,29.47261687338032,35.00094770169811,33.62848699882214,28.074913386989504,30.044768225540157,34.515699085361234,32.042952678345216,28.086934485060706,23.553981632365534,26.37873257148634,22.265879585183463,24.854059068601824,19.835256081222223,20.48215992550204,17.543720030034834,15.46611295919735,15.676023415018928,17.57632401550341,16.79172089506304,20.22526763707976,17.544178327614215,21.30874503470883,18.32167505075089,19.324275876964357,20.663238382012054,22.239051601870884,21.964680864525214,16.993246928081394,18.126253443642675,20.107439513260754,16.3696096420721,13.845317892192124,17.698812505884796,19.89687525269758,19.9264180540035,22.788148298653464,25.406594764024682],[17.329372931865137,15.541366173194683,15.582244315544688,10.042978278107414,14.209651750311572,15.01490069858875,16.665004222673844,21.037843186322796,20.08185415676442,20.929854370514516,23.766171002443368,26.823343095933634,25.95034750033361,23.686798297098246,28.871780051421027,30.370585237463498,28.082213511850508,32.1471061223172,33.37967986704076,36.105596298372134,38.73935543043887,41.99732101379679,42.44214555782115,40.95678726988379,38.672731232836064,34.87565076094703,33.341969779994706,30.143427432634,31.87046387336717,32.16134004380794,35.587822335854476,35.38553984868106,39.010110325364934,42.35715532985486,39.91006240528281,37.649438266331,36.869658794403755,36.52349251298467,35.63174678062784,40.839236721600706,37.52413497083575,38.80903352058811,43.22428581439141,42.56905088529728,43.7705531705104,42.30835025855197,46.46160065662637,46.00275310036884,41.60429388052224,45.78675315449904,48.70982488433789,48.282232482468395,51.084364657204375,46.12341747199795,50.270782185042336,52.99062441967422,49.35362397357166,48.757460935979545,53.44318744719522,53.47460510687326,49.475237763292824,50.47994658140447,48.6559176651921,49.854373991890476,47.37102589107202,44.041833485554825,40.94311518433501,38.44780386035776,35.41517154886911,33.720006470784305,32.49626718088516,34.74560151076789,37.05437440388148,40.10310886525748,39.94659071995781,46.27957432295589,44.876465681309995,47.981088470399605,46.762295706888736,47.41592538570412,45.54796011972166,44.6106582055561,42.78906212179897,42.59882447584492,39.24887835881,38.78868820415669,40.6722433876253,41.92731265499953,41.457286932214124,44.979554078886096,42.5359290807016,45.42392016127048,42.17032548565363,40.412746138604014,35.695362156861194,36.148545500321546,31.77912961326743,34.65246589296432,32.23668357484071,34.040873533210934,35.2478723573867,34.33456094838405,35.688558377739575,33.700923012507126,36.060613306322146,31.47113020154011,33.968882599092844,32.18008747525954,28.176019443713894,29.017946315896957,24.336839873581116,24.206052486236334,21.28570419692072,21.10614853085843,22.029757228211306,21.27537668713092,24.93204798192036,24.92824979756804,29.382284870485936,28.446662789776727,25.25255342333696,22.72049263629727,19.336791141757303,17.76277454001745,16.345757328374177,17.743663938347073,18.060575088548504,21.19381110648821,23.867728672193355,28.80008407909779,26.768686317917126,31.294910766373903,32.07073969727523,33.805022622805524,29.228892044032637,25.854349638775652,23.029680605830798,21.435021724376902,19.86821835379151,23.570124546065948,24.32236234509709,29.171438488858808,29.18038525375336,27.114608263486737,30.54198951409509,29.760255749244777,26.61845281726175,26.541165638198727,26.337123257048003,24.147879660384348,25.71877066616639,25.92881900416677,30.378730735515568,30.233822180983772,31.100205109148405,31.664964591884104,29.422766450070494,29.82657964196371,30.265399043658217,29.48418792370035,28.44418699228667,31.422926258906557,28.92135304195231,33.604527471949346,32.89483251613118,30.046927192901784,31.947356921661523,32.92846581898997,30.022559283010246,26.894194129658374,27.678276778303243,26.74124582104881,30.7118714897322,32.79838867999181,34.30514588825326,35.64816888372737,34.53818203416543,39.71494294984367,38.786261132995485,39.452701855018624,37.84125428169268,33.73199630087392,37.1714700122476,38.96500548572977,36.21820433315979,39.36241756026008,38.40207990540374,42.570015193206814,39.93467509484033,40.971308402684194,40.70985741695272,38.03337230870061,37.158103260634185,34.66927476692457,34.55472215801301,33.90596155293808,29.217433046318092,30.42129715023592,27.582983772952225,27.293134574562927,30.178166453168515,30.037176703518313,26.012776930126417,25.794756850797285,29.433811668447177,26.489144057743395,21.912721111833736,26.20689998139546,29.75301573094819,24.052851340403063,23.924848384118153,27.707654544329156,26.403583950012862,22.33110730346045,25.549095593649366,23.96686465177347,29.80377048889487,26.87097924039017,28.098656839584198,32.01419535398926,35.8992866293758,39.43988943233798,40.87789588592374,42.05122981115595,40.48743054625602,42.971658262299464,40.70701554423411,43.8782262351759,42.32769771710446,36.40041828661171,39.000824297026256,41.24931330866411,36.92816999513937,34.89806163713539,37.61941147723637,36.819060859152515,32.51683589017605,31.826487898795975,29.84448246842256,33.369446409573854,36.437934187841925,36.49145786993958,38.91319592860414,41.94151306033673,39.433336971490036,35.414117890079666,37.83130732919718,38.741714046518005,33.8606944948173,33.06600490192388,35.9647621028126,34.46158439219485,31.08641599462944,35.39622934905213,36.423352838434894,32.36160244955157,32.85410603329985,36.60808391464823,34.776412799167105,37.393797787631115,36.213798800002614,39.079062761596475,37.47586494581466,31.944754423374413,34.791099373372525,35.65412319196364,32.41430742838611,30.426903941564625,35.66763043187294,33.904319560071606,28.426943733618604,30.473304623366694,34.58558409806431,31.78999785503813,27.846044115181716,23.427831519659776,25.561732197471336,21.364382816794308,24.334039651568986,19.646032001587738,21.0530930802584,18.770210784294893,15.863916019493132,15.992631381356999,17.290611243610936,17.020067178965007,20.992464312384165,19.17320078500492,23.0858799975439,20.586368503993977,21.694344750399413,23.502566131489008,24.95849657210416,25.14463766188991,20.090989034792866,20.796602754101535,23.128775769124246,19.783844501694393,16.69571271542403,20.310274668789937,22.872863857492778,23.20563694796545,26.166741372080807,28.706952133140526],[18.964345139716876,17.959422453066463,19.069144732415705,13.780089622568244,18.69250289535409,18.4998871085319,20.36149802308858,24.399665939602993,22.803885560485114,23.805503151234568,26.13947923783937,29.275645176515678,29.00825265302172,26.247393969680157,31.290320567213257,33.19778809409779,31.185703946182578,35.08576985727428,36.25739128897246,39.36152467645222,41.83633886806922,45.35886976785823,45.58857498776228,44.156979621208,42.131409867183415,38.163215250314096,36.95650700096793,33.68414751298345,35.260894868751926,35.549067442680695,38.28197062583428,38.45946703461644,41.773529494680126,45.176737187145136,43.08214050097953,40.90918592018872,40.447950863356716,40.26010364404898,39.5978912341819,45.04556204512539,41.60596974990054,42.508578560394774,46.99442446012001,46.552015528946804,47.70231653516821,46.402038962918525,50.55989763794789,50.106464506521704,45.88755541953562,50.207127393326765,53.08461114658881,52.70897431339933,55.39357496895609,50.35700598794435,54.44586232071553,57.05624816528621,53.298126717156485,52.58713847870531,57.24241925511495,57.25106081723518,53.040806912646914,53.76292050544628,51.77255753071428,52.82204989776919,50.5893379990562,47.308459538923955,43.761200678722226,41.23294874850848,37.84276284897751,35.93281588877626,34.5002475982266,36.295257025143606,38.92262156106219,42.234763056118844,42.36986070096403,48.71582757543379,47.792373930221714,50.862388925520996,49.98357572975498,50.91768882934464,49.270854611710696,48.62490226490486,46.875290573464596,46.95638567612035,43.564013979154765,42.843009579869914,44.46273259190374,45.579655700692165,44.79645890446364,48.0422249339665,45.30379243789631,47.818520777414456,44.460219588865456,42.727012583540635,38.05295235031726,38.0461741916616,33.73023617357096,37.111623829556365,34.845945261767255,36.62225206164663,38.379484616049844,37.79532310799179,39.425802641053714,37.712445438988226,40.48374250142264,35.9199803163463,38.49765715767429,36.88837560488745,32.7982325325479,33.430315467694435,28.672619515708256,28.64042354331169,25.36716761559684,25.3696912908614,25.71227488544093,25.076994937136654,28.42945837453087,28.39926565622196,32.356856106384654,31.380930583682193,28.002822155196647,25.594841089777866,22.582461732662466,21.379875321263235,20.15385937104209,22.248906953987326,22.541378108838384,25.87240578479354,28.618209005634608,33.568334020229415,31.690749007835443,36.183708863540616,37.035814328091355,38.670235592901626,34.159443875434754,30.6937827655764,28.001382321994914,26.23329469038185,24.409278892916877,28.01483257419184,28.349422252395115,33.0988096451997,33.000733286266325,31.16094060417759,34.63083861980956,33.67068001625222,30.63176360894502,30.472738104316097,30.427239875662064,27.890029410023352,29.484997765798166,29.029518920975633,33.496370694817145,32.571793392797474,33.51326602529424,34.6295422954274,32.60564384036427,33.44805972903635,33.92418557346098,33.6753509919672,32.87861297346907,35.5845380733513,33.306168399087206,37.975234819255576,37.52153376924752,34.65465582603872,36.75952594275446,37.663567315425844,34.8558844517303,31.679524169451927,32.56044293513397,31.501469300447813,35.43228853002211,37.40853795941933,38.727372517801754,39.96293271889959,38.5310666175768,43.80232274834824,43.08887456922826,43.88924163964738,42.46601206484964,38.38085882107321,41.999424728358825,43.85417202459571,41.06762936822045,44.050897620521624,42.88037640628481,47.152573325738075,44.395409641781214,45.658741679938856,45.477451284907,42.855778725463004,42.081880146065764,39.634660660527466,39.53459181185696,38.85127895436325,34.15976297184241,35.294769636036705,32.31488872529127,31.981263733620665,34.64095646793154,34.36619865312006,30.392262878656403,30.03650307595994,33.430992885486674,30.32178214143949,25.76810677416253,29.790454027106225,33.12515892680082,27.17485162833284,26.833002612250482,30.379442644796903,28.87702768415431,24.52258655897178,27.55344220232546,26.38155564322229,32.0782663159073,29.545088429284686,31.17384389351757,34.91292394391217,39.050619413096086,42.273660969966045,44.10992886879058,45.5602854079098,44.29838262901921,46.97866366664245,44.91932054305034,48.18766320141466,46.445130043408874,40.63805968595902,43.45629481928588,45.64103993852536,41.219850172623964,39.39845358487604,42.26191991484665,41.21238666538392,36.85487487254009,36.548361987014175,34.39907791369986,38.103269394334895,41.07744008439626,40.8871355366549,43.34616239912459,46.14776667962731,43.722960000425175,39.768081521745984,41.82913439601063,42.65674616232829,37.856094747893806,36.88853346026814,39.45212710484285,37.77337620100736,34.398101974322564,38.60539294141073,39.330664508563245,35.02215033926341,35.5978630517587,39.38840400594396,37.79645922650906,40.73703727468014,39.91922834036739,42.83925889168802,40.85470176442023,35.4941422709861,38.698695657670974,39.29605211135802,35.90903495413283,34.380495889652586,39.542334065855755,37.37398739357872,32.08879101783253,34.520255475590766,38.32996222606937,35.1667412973941,31.347275792830786,26.919053822050742,28.586329247667546,24.16800599118952,26.874671889482368,22.301430289228396,24.28342619469249,21.868850685186185,18.665646758384273,19.44349079920648,20.794722238679615,21.148552998130008,25.25214636459063,23.699842690425985,27.779956605725378,25.315047934711856,25.79243332194818,27.41489299037392,28.47309427205013,28.375398278162685,23.61652879523973,23.6853905365791,25.63220235296134,22.73911889070401,19.30112058024089,22.090392187247797,24.421957495283287,25.16821267411622,28.139891432177098,30.553846716381788],[16.782485471487114,15.571277387029474,16.815541531755095,12.280789086217121,17.22216076781574,18.511480420383865,20.912431660536445,25.16151278481001,24.626410461692572,25.970577251297154,28.806566507687844,31.610879239012895,31.034747795677394,28.96588865470006,34.127911282862435,35.588296130254676,33.3864722337921,37.50606599119814,38.71547038722461,41.373042236148414,43.98678169639529,47.14225331362124,47.55811829471928,45.9224974379442,43.67425766107813,39.99683829807306,38.427141290613356,35.32907591708078,37.11213205392999,37.30536629586816,40.884932020163234,40.457687236363284,44.08140235560016,47.55095815641669,45.06946525697345,42.88342092219181,41.90187833027988,41.60248306019795,40.56967978494419,45.54972647162921,42.274990119232676,43.84603456882585,48.2079112708569,47.35069624349647,48.434036064212485,46.72812473892664,50.83409501759036,50.58529230223248,46.04804412329905,49.927762750077314,53.03715598027171,52.62774933240833,55.59935268264902,50.76750932800347,54.97036760147213,57.75888844183276,54.21286070566133,53.74164520370749,58.42824245831168,58.42858895879324,54.56748590031301,55.71712906026205,53.95881840308812,55.1600606509814,52.59245036033747,49.2937655288028,46.2820995149491,43.825664514627746,40.80370013732836,39.12419949494249,37.87854276618302,40.05815905058896,42.43326801708401,45.491896741564894,45.34752936145057,51.67620400131095,50.224901899457954,53.304406681957595,52.012163347354466,52.5794977694977,50.5636904657703,49.46259113251872,47.48228910161321,47.093089808670406,43.84871842278913,43.604648225076204,45.7035712679909,46.94829847580925,46.68542200466505,50.21081904043005,47.85956267331504,50.77761495516583,47.48374646591119,45.63479252628259,40.90382441866986,41.28901980004078,36.917131135424114,39.648820092701236,37.06595283602121,38.44344899369889,39.96046993223054,38.584400127937364,40.235744136288375,37.774865403298634,39.92981288465536,35.138790722673086,37.127165134454806,35.06202011283197,30.893481222523427,32.17859445761195,27.596527190360703,28.163175201985876,25.640489867578747,25.75149098430791,27.136880337468614,26.398403593325686,30.157958959106864,30.013044400565146,34.6039813956867,33.804064004790135,30.622594801644087,28.109298664845674,24.632871185229074,22.999029753084784,21.379750592736894,22.24044124676074,21.716166092113102,24.89404376155185,27.08460558722558,32.12973370564166,29.449372120564043,33.772107626883866,34.85940125450126,37.014321294039334,32.50141126013557,29.5639959992384,26.069388761319633,25.30306299430042,24.146216083387596,28.032125406766642,28.802777858613368,33.66270162596646,34.03133161529401,31.94387694530712,35.36526369021184,34.76633452015295,31.571368811804234,31.440480429607565,30.927303622496776,28.722987016048194,29.769495989840927,30.038233305390712,34.12141491599527,33.725741494147115,35.143519473716665,35.88320324242406,33.95256886268272,34.074923559969285,34.93139829184354,33.730690265517424,32.84069829823433,36.179139366487256,33.50068140161398,38.17597146957894,37.03824954197153,33.95788661674389,35.42644121462045,36.0822283944829,32.85694058618152,30.167833938307442,31.026511626743467,30.63618642887299,34.7357837426008,36.99429600990931,38.71351201860322,39.988683949486244,39.21549910298102,44.20126975409039,43.27672541060416,43.686362619389236,41.96405932052219,37.62332495011939,40.72520665877751,42.38324592849772,39.83180840517767,43.36633695272751,42.76300369794004,46.64297284092498,43.946841860911604,44.666318048552846,44.0397314038129,41.51689474883446,40.15209714959252,37.478862710155795,37.04482666715378,35.880698535577906,31.221075667235795,32.18518416827846,28.93897966947738,29.19427372716969,31.321236784649138,31.600573075722817,27.80058963199124,26.614554182580584,30.073540681391446,27.522314441914148,22.341857105851528,26.11737972621313,30.04377898190282,24.375097516489294,23.454498715292427,27.066845606629652,26.32106157504539,21.6256191882113,24.104896037291574,22.488394174824833,28.220332066129,24.819592862657323,26.815103136928048,30.661681690343073,34.5544070856675,37.761926327517315,39.49819701567884,41.29673250605165,40.13366043318466,42.99343256745227,41.29494714136277,44.31417591777965,42.21715857754199,36.645640849478895,39.67872076023628,41.44301013503838,36.88080712064483,35.40234877255261,38.36509494128945,36.78744054114515,32.40909585220877,32.763634640261415,30.577509996031928,34.96380587187146,37.75403508758044,37.60163988632501,40.481024058658775,43.337988704490506,41.37328443124895,37.10694916893521,38.99513095383564,40.362908714601296,35.69460853567961,34.20671017050641,37.03904111302162,35.71919569567462,31.980747228284148,35.811962614170966,36.92836809895365,32.88090031947485,32.7413208439419,36.32928017805395,34.401215903981814,37.29840312452313,36.60366591591589,39.142295866271986,36.95373340329814,31.74562434809272,34.833641325267486,35.00511182363825,31.599947111412256,30.18300751363665,35.01331073109978,32.54009911267845,27.393888874429912,29.926538799217546,33.383696060620416,30.013445724516703,26.26670815343591,21.984256550263957,23.226513921000485,18.82708721295743,21.746157951657338,17.53418875130199,20.025696265107495,18.501859627594953,14.654294885084745,15.153347202878846,15.949327781481987,16.832073357244905,21.213326980133317,20.677067138968358,24.91600289106723,23.273886450499614,23.52498344407973,25.88243023080839,26.790449095805236,27.71409301172826,22.74823634047747,22.38292927064266,25.191013760440033,22.887463899136385,18.714437466797694,21.68027234390238,24.888344338843247,25.846262576581882,29.013782471043893,31.362762651024987],[20.58801836032505,19.795338928338143,21.42444527311257,16.96736009765562,21.886399676852825,23.031101842508875,25.299003685701983,29.537887277737184,28.622139006732354,29.731582737908283,32.35899901275127,35.39299849264273,34.82945355067515,32.339380799748724,37.47758435469545,39.16525879899129,36.84440693183261,40.739687179208076,41.577242485403644,44.52835639686597,46.858897497842655,50.12439814191611,50.23429991513024,48.44067016515953,46.51065252459355,42.816111251067966,41.60366769017815,38.6455192164422,40.61003355521303,41.067525934447325,44.29047853098644,44.279940945854094,47.81114887938551,51.16359028327025,48.801432808493075,46.46708241623053,45.79917270869151,45.240346398741806,44.187583556422325,49.238689227668345,45.65359221423239,47.09602937281022,51.49648353160084,50.64980965415677,51.483782636276615,49.75628240448172,53.84694968763504,53.83433617440031,49.429456453764566,53.261903021906036,56.51677534279572,56.27306920848365,59.258083007003236,54.460805474729284,58.75572745434626,61.34088853859363,57.64972736772133,57.307141011404724,61.97517164315535,61.753216580694584,57.804785624318434,58.92383542603131,57.20174078073012,58.09295932650358,55.598429408130244,52.47712820320026,49.12170591878348,46.85321363330168,43.48523678175354,41.916228641866944,40.38849773588923,42.25685592644846,44.990283094648454,48.04718011603436,48.30598383167774,54.64931049521211,53.4385447690401,56.66260087933942,55.522949577100896,56.14379583436338,54.38835082641156,53.323823846719726,51.5897123555293,51.17291978599013,47.78458927830242,47.55442530662366,49.39643284549784,50.824477362579415,50.21698806140682,53.80721359113254,51.219538808527524,53.9303236441472,50.6761922172852,48.99316438200931,44.298962627898504,44.49158855610568,40.15179408579341,43.30899956062077,40.90922067275601,42.49037526863765,44.07119169664046,42.98505004557202,44.54809979406728,42.299666819350364,44.455599681220384,39.720656317365005,41.76750558268377,39.634004372464815,35.51792699035887,36.85243869388788,32.27157544100675,32.66132025079841,30.034996321047625,29.89746951734986,30.9296529115784,29.93212440872228,33.45286035773229,32.92972143608733,37.270310714821605,36.79723405926452,33.44833742187704,31.204642002530782,27.673232116052763,26.48994775702619,25.289073158690925,26.357331627230835,26.290779746723274,29.366351466049277,31.61260318211154,36.60935079578559,33.78672340612552,38.139440930806366,39.04037695200328,41.37635790017317,36.66259822531792,33.73917255283509,30.112856497155988,29.126546642600054,27.655512602453502,31.616663418259346,31.727340755159812,36.48427201376647,37.080586488386565,35.30046540639238,38.84922305410453,38.4365733630218,35.302548241696805,35.4343297421648,35.18189804621598,33.005347570203504,34.27072646159616,34.36146933338626,38.55264417293844,37.89637975254917,39.228118894856614,40.14296561874346,38.15817781605199,38.49863680463013,39.16416776587012,38.16725017639712,37.05476319624187,40.16683964650723,37.26630290862216,42.00142489946723,40.80761904460134,37.37516751343351,39.0446123082903,39.358132974672074,36.258748015669184,33.60136757970979,34.764690279685766,34.43268913050444,38.73144242964262,41.110312922008106,42.88542834285582,44.32017073136447,43.41314288568657,48.515914853686446,47.46624333986466,48.00120069711576,46.1099091236695,41.98978705156192,44.9831287605412,46.49841940304575,43.85436847322674,47.217539263790606,46.47342749617601,50.24089904460308,47.19927983333372,48.13990846018767,47.46344535049767,45.18802217713501,43.86412517755192,41.31656289986797,40.95897087646001,39.76925996700742,35.157842879575774,36.3251274629482,33.14581757269666,33.67385845155841,35.69929758712871,36.16746402223427,32.41433139907017,31.00693286883432,34.450969037924594,32.05055852486793,26.736766455022472,30.311679657561914,34.3396930703079,28.701602185949298,27.52378565628486,30.98672361970013,30.378275009727194,25.48914572920474,27.60164855691394,26.087438335696955,31.634109768929633,28.008397104906848,30.445569546846748,34.21250870724185,38.02691638187886,40.996902442559865,42.86822092736046,45.02114952258896,44.016166361201776,47.0031466250186,45.51931171551106,48.38156594530012,46.070995238233,40.68385825669441,43.78887193112514,45.24109892441708,40.611927201171824,39.33692062559218,42.215955815614954,40.257323056586536,35.95936997230681,36.566463182041815,34.638361980035235,39.27418318961728,42.03596938526476,41.978613293960024,44.98291451003391,47.851940486978485,45.99764415815915,41.67708243091061,43.49356033926676,44.96476325859296,40.342067231996936,38.72663115979569,41.513158666420914,40.2068341475014,36.413381853907815,40.08994033412027,41.16789768293579,37.08097736559256,36.79709296998459,40.310482961921544,38.396648826666805,41.40439727045153,40.891094843143414,43.2726524010105,40.86730804224199,35.84026749415518,38.94256704816752,38.80171576545998,35.372907409396866,34.13935892042987,38.6675610119679,35.8708751491091,30.957571611509877,33.529162376398105,36.57485787685053,32.944601433303085,29.35639801677542,25.349246552040867,25.802592528312058,21.518504763498793,24.53989394755234,20.886771107702923,23.9131422358544,22.74672286571362,18.631313101579348,19.21343426794242,19.56080218418735,20.809912183546,25.32024440879079,25.188286266310573,29.385286495039974,27.85174858291222,28.20334958678937,30.59129609158455,31.418113076774492,32.29357878189884,27.394233709485746,26.85595483892359,29.539142816974962,27.335097354264857,23.10948640775395,25.724756026974198,28.817841010735155,29.942154840529625,33.09655081814053,35.38509790477273],[17.986422897040377,17.83874529792621,20.36525177723413,16.497772330685294,22.143706986067624,22.516651531171224,25.346821478113977,29.219298807247995,28.368893747846787,30.15211097967576,32.605954053738756,35.260506088840216,35.41222489498562,33.1401495007339,38.16818112611826,39.9109259758355,38.091962318326964,42.20647829997108,43.56589661756102,46.44083792008917,49.049828836121335,52.401344659847965,52.74851873420738,51.202600528967054,49.059893854809786,45.23801044531817,43.79319620163946,40.54982748223028,42.09465377313885,42.095928619898274,45.206967883815075,44.85638486653376,48.19966627720229,51.855297087782674,49.67393228885897,47.69489549304256,46.799105055522,46.843176667447125,46.02028318700253,51.16531048618416,47.93568139613623,49.26793622527423,53.68180683530336,52.98127503285863,54.113116450803886,52.507466551172456,56.62277008490374,56.319544295291394,51.84276008357081,55.80512736732795,58.85351414317373,58.40969014662462,61.31122096298645,56.40564524840237,60.52378880732853,63.34432260650912,59.771808058345655,59.13994557702809,63.81809905021596,63.91066382430748,59.908298115965664,60.817185497645056,58.87179261198154,60.094436880298005,57.72600669704231,54.378383917379324,51.102251156865584,48.508247570958396,45.304849468532474,43.337159943052704,42.03029841387905,43.883569649760524,46.40761430281925,49.75448341574535,49.69006210526178,56.02760251580362,54.942734916231856,57.89198381981636,56.85659890845167,57.673768007020165,55.687505243617764,54.8278510258891,52.71653737622358,52.57675165017168,49.39707028515388,48.92795571289755,50.971665697471074,51.953238104560185,51.62634503771886,54.81515724510188,52.311668073938684,54.956480011592085,51.50566729069473,49.545284978013896,44.83424889014463,44.81034162715051,40.485501003402085,43.44587465534265,40.852626770728605,41.90825196161458,44.11406111986572,42.75869603423637,44.882176643615864,42.43402075986108,44.99017601514695,40.12832267590594,42.00596111639254,40.11195405187801,35.78698339424465,36.92102112639457,32.30195660800396,33.26304982874445,30.50978521658639,31.02640537224069,32.14231720074887,31.67276867508692,35.321764421130794,35.324121861495655,39.61524903412841,38.62525228043851,35.34451523415778,32.79221773957212,29.662878627058227,28.09737026933063,26.35985944454947,27.717163579049384,26.750889402717704,30.2134787967087,32.33884277057344,37.4487611445669,34.86468833923527,39.04136326394434,40.41695630512707,42.470063759619876,38.177825572951676,35.24466609588707,31.822580384879675,31.163264714645326,29.984639232505337,33.80403494121079,34.519515597921576,39.36004747055506,39.59274335288376,37.547586881307,40.96232041181828,40.11444313121393,36.954263223872054,36.56618889766159,35.97752584862685,33.36906918106307,34.160752999952564,33.827283259728915,37.717080780328224,36.50630647356797,38.2720692765626,39.580591939963526,38.0368391426305,38.41395883636032,39.565549449284646,38.69356530351543,38.245077573330796,41.54429913404963,39.171120995981894,43.819249179715065,42.86361488793379,39.884995722114176,41.344348456057396,42.011219902780766,38.740587813601906,36.10750258981827,36.917468867776535,36.49911952746323,40.48793573521779,42.610681962703154,44.15943604888382,45.200743188771035,44.257628980626365,49.22851417159538,48.6218865699387,49.02073431162365,47.57107794529474,43.04176668047034,46.308443608595475,48.076128265159646,45.59834975883946,49.184492787077374,48.544776236298965,52.5219102860366,49.86202180220755,50.601363487719574,49.96822359041177,47.415832021235396,45.98410786145194,43.23449797479614,42.67316751379774,41.326359059468686,36.690514800511245,37.37098606212852,33.84627775336675,34.03727537989718,35.6804404860939,35.81277458202206,32.182926671568225,30.702645220314118,33.709035326257364,31.05987749284655,25.985375056083882,29.207007634735298,32.806229772349134,27.006548314858083,25.71764297150065,28.87479502643841,28.04881189916316,23.07409665316648,25.05532358041501,24.023569863827994,29.33429109804742,26.58608123554568,29.08975006241628,32.56008662607226,36.72575662011454,39.39834485616178,41.695227675390655,43.89247182386328,43.22385427051651,46.36895420569246,45.05968975977313,48.19520337252355,45.788731887726335,40.50312476130452,43.88210571800415,45.53799081519836,40.87704792480752,39.777204162511936,43.00579902548588,41.080257736321094,36.65713826141556,37.69336609120315,35.12604915927137,39.787632907313984,42.34622245298347,41.7603103734243,44.742187026838494,47.2128957673383,45.51515506531704,41.31365446424503,42.5821649085099,43.946021950494284,39.48303853341856,37.62688350403648,39.99413913277866,38.54211198921708,34.765874282852465,38.28786281032746,39.05875486983335,34.81262122010084,34.59888580802748,38.119280547211815,36.500589839166985,39.80637018790908,39.68288728190547,42.20674435582913,39.45143854784976,34.6228303774832,38.18317554659262,37.917200861269,34.36198126572903,33.70272712131964,38.31831598076945,35.28286116528946,30.578218629616973,33.68110882561014,36.62150794017627,32.79254091270286,29.365789864270646,25.19830197188611,25.846872249877237,21.327083969699057,23.5323989257552,19.70862562492808,22.84241218398943,21.28870705931996,17.297438235127903,18.659720781033005,19.580735952220664,21.259270719722682,25.539407544188954,25.40657334313267,29.83098474874117,28.3855525243163,27.638220500505653,29.857595536799362,30.1584724582205,31.004427963377683,26.45138396459075,25.14424075138906,27.652389797413576,26.19821631474961,21.47755422948242,23.339647742947566,26.49171950846561,28.04422008864865,31.246881560226484,33.36521547826702],[20.772689824570545,20.569630960681277,22.736756577518243,18.106634731313136,23.60431005808639,23.16574198541976,25.477790115957127,29.26631527634286,27.60361192909005,28.96579924628389,31.029777525982364,34.00777573754735,34.2530906810167,31.39601099595386,36.3016321176662,38.38875966788139,36.61181866935911,40.4618765011328,41.63284515557569,44.883260224047305,47.2824922078807,50.898285460575345,51.014790118979384,49.56108389185633,47.67844685463428,43.67548175471104,42.600134986883404,39.31714073566319,40.80807220455213,41.00490002367143,43.43397183068179,43.6677916331578,46.78356060384466,50.29768683694403,48.402707273202736,46.35143082304658,45.93881629798173,45.910788991560004,45.318439520515284,50.79541551990643,47.3354804700541,48.169011468017914,52.66853349628883,52.25570872592648,53.34566306284396,52.02306268746432,56.16761621305243,55.79565689645072,51.594889152747704,55.859061861112615,58.78960489448194,58.43247274958903,61.130570254570884,56.09787286255237,60.1729202819058,62.780194634470355,59.005786238087914,58.265071059223274,62.90780766519385,62.91475602842513,58.64859696721459,59.26216742341618,57.19206492500931,58.184968161131614,56.068311843991985,52.81447694067839,49.078437514966836,46.53103957280525,42.983892448364855,40.94382056859935,39.42135613986174,40.913855538808264,43.709014939180605,47.17793633400476,47.45155223008336,53.77463093520297,53.11406747417825,56.11907389017759,55.40798921286276,56.473342467473415,54.85599366137434,54.308167469726605,52.48500902581809,52.64063528942112,49.28938075583701,48.512782069830976,50.117152622273736,51.11394471772931,50.28978256693529,53.34106594251032,50.49910369543286,52.80184451236331,49.359422075312516,47.57531993547929,42.94353114521595,42.627524917087335,38.37994526080863,41.91692458258192,39.642760601490345,41.12722477817369,43.38996170373182,42.730310650678675,44.70237822086857,42.886082093334174,45.81495046188597,41.15018506064784,43.5215529411593,41.89823660629636,37.666626716253326,38.374994823609356,33.61860542332798,33.99506215694943,30.726247331811415,30.995582899936114,31.316153748389095,30.785293260346045,34.063848259680256,33.997884809393,37.770888448393,36.80229298873719,33.37039197239802,31.018179153789546,28.173029721735436,27.05499569647602,25.757931378337847,27.90503860256612,27.748074917758842,31.230990761955116,33.79967415495887,38.836302601265366,36.75832600994073,41.139777834789996,42.21437101184295,43.96977355079623,39.54084699378059,36.2112304414667,33.28720972795363,31.817742142234476,30.07886439727122,33.73947979056118,33.94873223893903,38.667600458508446,38.65979000115203,36.891424330765446,40.37410669082191,39.37598905371975,36.35290423872714,36.08464131041699,35.93678487500082,33.191806250918205,34.50726981149148,33.716539909675745,37.95998239358888,36.44035493771282,37.73312598430335,39.26416143838564,37.55787149111401,38.48734612429777,39.22698263774733,39.05371887091308,38.50117651261197,41.2696093900817,39.05499391417305,43.720623407995824,43.213691721603695,40.25476109354884,42.25259132120221,42.998425506459384,40.07337419684255,37.063023380039766,37.99865732078588,37.116872643424124,41.07999773555294,43.06686410332802,44.375579661083,45.49185878122316,44.05016092518209,49.271775715058034,48.71408662580227,49.45156379776664,48.11012824155154,43.880427802372154,47.46901936430808,49.31889519243573,46.60963978629307,49.72082635684595,48.615709096056214,52.83395877398602,50.008696425266834,51.22644967023018,50.917264047435474,48.368214783310776,47.40767270284903,44.87493186657659,44.61903805883398,43.66865078606895,38.98074093208352,39.93505185840065,36.67667649221066,36.52949110100082,38.69642428083754,38.50785414062728,34.684958904052536,33.83282798786104,36.94879277205353,33.9263799762177,29.199819042205505,32.759867722081374,36.05749958712998,30.048907809991057,29.23342951333184,32.45555056412427,31.093185636562005,26.390760182896276,28.86589555327371,28.02651014266299,33.41498195767417,31.075560052851106,33.268811257109334,36.77081211805176,41.04830245227293,43.832174339522915,46.09371532916722,48.01050716502444,47.166006078491286,50.141009234199416,48.49675619591031,51.763660821083086,49.64806757043562,44.11839993814859,47.27432256929418,49.20598971238217,44.633623290118905,43.20841921394677,46.28258241624683,44.74041709114932,40.33348054778201,40.74368971266044,38.368617866708306,42.546543308999155,45.31970393557697,44.850690145277,47.53342033656269,50.08057220614519,47.979464298600924,43.96592898867518,45.521492121872484,46.50153803064374,41.87815613013026,40.475982880988816,42.75675999348718,41.05803332624739,37.54496476444996,41.41458632743141,41.959429662005135,37.53559293519788,37.8672258555078,41.55678763717654,40.118942783639916,43.389392062025564,43.06181235900637,45.855808179137775,43.34612893400423,38.31294849606989,41.8528430754894,41.956225724064744,38.43064967974568,37.5005843779526,42.38830032622233,39.649292738954195,34.7232632646344,37.6100973124685,40.89248121301213,37.265197683023395,33.69134728690195,29.397181720237,30.369074553579022,25.852015837104965,28.199984330566853,24.060479245251027,26.76995251050629,24.628685764812737,21.024407923575836,22.32977323447415,23.515537026475936,24.65695355726664,28.900046111502533,28.010464682849975,32.31258632393161,30.232393882058155,29.954266935513463,31.698646334608352,32.2520143316924,32.339319257642316,27.84426377989269,27.047686084651197,28.951390991548124,26.887789069390923,22.819147078221285,24.720292107507596,27.167771073755688,28.474043734921402,31.505090853301564,33.69681474561231],[14.952952415439242,14.723555326316061,17.1671163992896,13.077451006318412,18.979189331064553,18.57995061210119,21.489794045529298,25.161969794863424,24.21372925587859,26.254880639413628,28.618433970158932,31.102546035705494,31.56200220603025,29.428605145331414,34.37359506972871,36.115491337138025,34.598410455023114,38.83428217474113,40.579580478161276,43.36597466956427,46.18889790007159,49.60035561347613,50.15907912233544,48.86773916125324,46.53267458407373,42.60494702375033,40.98282598550519,37.52034890984045,38.73990437907834,38.46205261743852,41.48638637894834,40.96149852607538,44.20345996696604,47.98922724066056,45.9116059642154,44.14187505782666,43.15417168615503,43.582250447434625,42.97426025786103,48.24760507430416,45.279244572410235,46.422608886338494,50.841004356857084,50.3274139765422,51.73396216753619,50.33316314355845,54.472245585814036,53.84999999240343,49.39626365883491,53.5822341210127,56.37653658439756,55.782489848107495,58.53391461968919,53.51046124597952,57.463498148285744,60.41337001562507,56.90152306806437,56.01726788478726,60.688835517423485,61.021764995958556,56.9490606926444,57.66969636546381,55.564446769275804,57.035711428758056,54.77225766008376,51.25785484715337,48.07170279592052,45.24425377472692,42.22134631726522,39.99996296963962,38.9007653869566,40.83861677484916,43.11830992546993,46.61262886047443,46.2682324931016,52.57944730016554,51.53947321292035,54.30436897494662,53.33538684486812,54.29368279030182,52.20519385618523,51.54375513014707,49.25569835159204,49.38639297233484,46.314615152911585,45.59391188210839,47.68670336547999,48.37316477019764,48.17511986810496,51.1058074254101,48.66337216043908,51.29383870154577,47.7518158445156,45.64601437214799,40.93559153363868,40.861287630927116,36.54729788679242,39.363490624999905,36.703526248099486,37.61915276450329,40.02608564425208,38.6935141720904,41.01354373986604,38.65686338486701,41.55736695042618,36.72450757156152,38.760623530398455,37.17225486153053,32.79899453309471,33.56509175765726,28.866727230105823,29.868057023620036,26.869231764450397,27.716087816697282,28.716760274660615,28.627791918203112,32.305035274382234,32.75915951127267,36.95999618252256,35.544364818892305,32.35979183134298,29.586450651964494,26.805833317160623,24.977598182384924,22.9334834402746,24.672745141267136,23.42792885153512,27.121894011924667,29.391091965390515,34.507990505317025,32.43414720156333,36.60762702056652,38.12533787630672,39.75361925502042,35.72498902958482,32.578342707220095,29.646497226891704,28.833849210867108,27.711886297421785,31.304109357813235,32.47351450919827,37.331515054254936,37.14025628820221,34.9126573429902,38.19781541053658,36.97360046600948,33.83975751579556,33.11106642893586,32.41987817304097,29.550844644465492,30.25716278410479,29.65113776211232,33.53572024928799,32.16813994306162,33.928627166285295,35.35316835618545,33.93152487376931,34.43521362803013,35.70865183582463,35.093447779427976,35.02122827284749,38.2756327078064,36.3643896306808,40.92128324303751,40.334498349332925,37.81612812893795,39.325542953308194,40.4168812719877,37.19951887777792,34.36644557218005,34.878986321392496,34.135217105469366,37.81594622560874,39.66706635492036,40.955184126569876,41.762481646609885,40.65362027024237,45.60436143052601,45.28255747199739,45.710462110566674,44.61436534859719,39.94039212569485,43.55457332321123,45.56197155350473,43.10142571183327,46.63105593854408,45.89669434911905,50.14602692407405,47.81026966753138,48.55592862896186,48.150513844150275,45.32289903626583,44.083944623826596,41.299686959707,40.779941444696426,39.62924354543979,34.9518662373245,35.44933546649073,31.928113809330686,31.57193057787799,33.44850547017303,33.10645387174567,29.390424199635298,28.45060130472653,31.345677232458375,28.253685629298428,23.63367872067342,27.067190354034572,30.21362311146752,24.190215566634226,23.379947727033226,26.587098432131643,25.20967333968673,20.517139639997694,23.112353381099865,22.30822458967452,27.740172109191377,25.775716827314188,27.719971162542507,31.156561386964363,35.56777937407797,38.40235056147348,40.69669853746411,42.43419031171195,41.64077545003352,44.6221547451793,43.00066296258345,46.42603092192783,44.34225666344992,38.81798711157411,42.0861953279013,44.21938992979599,39.6779553913839,38.28952880498267,41.596996051285714,40.22241558075606,35.73260588587026,36.34424510748665,33.47690783864465,37.631825469510105,40.250423810626316,39.46865721227023,42.15460029253106,44.512714225617,42.54943501992294,38.55496752304616,39.849225153697475,40.86189089043843,36.329864435250514,34.760625887519964,36.95911363857237,35.29415699343895,31.72348609175721,35.53477605718517,36.09513613899695,31.705253364080964,31.975383441308303,35.67412692036598,34.2555203795587,37.54879321628911,37.28658341285906,40.14964465499391,37.610528501319955,32.58710912027434,36.27734000881202,36.45178094930542,32.9051562319991,32.14109727302806,37.17274392678663,34.51902326680192,29.593492066723716,32.69831804596123,36.11981913220756,32.584033938094315,29.02206841551709,24.546036362018835,26.080664049699866,21.450783221774184,23.342242406102194,18.83077714622561,21.254282991357456,18.849603087607434,15.439155481118034,17.05931905448597,18.738782098555717,19.947354565505357,23.924464686228568,23.00920074798388,27.437646165699324,25.579458678561604,24.564682800003876,26.387596006780598,26.68504384127304,27.110086164874858,22.665332795340742,21.462062889570607,23.657529856271555,22.071050844577858,17.50201734620606,19.382603469822563,22.305049396122058,23.766462223258866,26.941556775539887,29.11945089139002],[13.023210555719373,12.276016923658686,14.043892804716364,9.461169546180006,15.318427104758722,14.259919044786947,17.09043311596143,20.686707210992928,19.700438139447684,21.860668350420568,24.25722415447029,26.639459305891705,27.16558689806306,25.220449135012252,30.126184347014163,31.786180540143878,30.441083507423375,34.78330748390113,36.836895435971435,39.47808567273957,42.486480509432184,45.89215094365126,46.65350068817377,45.56934735640594,43.04673547496734,39.074640581168126,37.26806876915802,33.653374150569434,34.63090791522486,34.15287559417497,37.2245210643797,36.52805792440217,39.76394476628183,43.60875449455255,41.53819316195573,39.89465116366721,38.810373934012986,39.48771658572494,39.024978336137806,44.36905194677877,41.62650279814754,42.64589893859104,47.046112173034615,46.658445363358055,48.28722388342517,47.051938947555364,51.19285055968697,50.31037855715086,45.88460037937647,50.24168996902939,52.82051329920669,52.1016778099291,54.72926952386392,49.630646540880655,53.45911802369325,56.4974586781674,53.04832887979295,51.988721298045704,56.648474241063944,57.160584410206475,53.06685283886944,53.68566910832635,51.494565412825544,53.1707948556643,50.94945880948935,47.30950684700484,44.277530788074365,41.285236502585114,38.48149512816418,36.11793702966459,35.229995602314204,37.33599029554595,39.34494040394783,42.879287253222984,42.26343550719222,48.54450096369696,47.441131041916016,50.08232383068021,49.102309343992154,50.11802527567421,47.940911109728624,47.396749671822946,45.00034023051455,45.31305636914757,42.318144560315915,41.42242401822565,43.55937912754377,44.056751770777325,43.98061751286567,46.77745840919868,44.42782892496473,47.122925463731804,43.548420498305575,41.349499292842374,36.63087155178986,36.63770089229805,32.315447913238195,34.93783216853184,32.221452468220086,33.13259728605428,35.50568080700859,34.21475059362398,36.5640306522912,34.31724610093466,37.43326299423545,32.66717770797109,34.91169030035538,33.577341448140494,29.233716901793834,29.66281318108324,24.901481080390834,25.78061487841442,22.57789277463904,23.631211874528788,24.561645614261494,24.780111677477095,28.488017272149946,29.336111229018307,33.49846429646455,31.74098911340069,28.690504959205242,25.72741429001049,23.22052593350726,21.124895806245913,18.80889907222444,20.83339311854315,19.476028861637335,23.305320301078893,25.75082993985461,30.819972976643456,29.249246660515535,33.43857377716555,34.975223277058504,36.21602281645707,32.385585546539396,29.038183511786425,26.61901629180248,25.599615383896385,24.5305697954945,27.860570337687154,29.452795975865243,34.285504826230195,33.731987117285314,31.341972340488123,34.489449697205785,32.979467894486085,29.875325291731592,28.894629721618326,28.143146970128427,25.13117754438283,25.86342717516628,25.16163497426523,29.14332911985649,27.897104787245716,29.505292373435623,30.85784993790301,29.41054847072896,29.97982341447318,31.259118901451167,30.82074531936194,30.97615285173003,34.16843763921231,32.619190574396995,37.081391559775795,36.80678211701677,34.70204696676032,36.2711402648524,37.73696841650376,34.62771602933143,31.61241529436569,31.86153588116624,30.804596887191636,34.19815553977916,35.81964123255629,36.89936095205226,37.56074164057595,36.32725208875654,41.2760810349342,41.11984001614717,41.592230808337725,40.74560543126382,36.021043709882925,39.91090946557333,42.099603551858415,39.63306449283876,43.05940803107991,42.233904265418644,46.6941251589902,44.64079746060122,45.40126299330659,45.21554889848274,42.16800470220388,41.149711131792195,38.38638472345776,37.95984096315538,37.066595425482824,32.3908503431602,32.811920629710194,29.43112856477983,28.56837846857581,30.821532151334505,30.071081771383156,26.237783349107737,25.955668390499138,28.85929638099352,25.395890893585328,21.271417683978637,25.037386743583536,27.81425544956601,21.694124749965102,21.509658692270122,24.855321142416376,22.993249484823345,18.783955269076642,22.064829419081562,21.29599375215725,26.84253179293635,25.38298943673697,26.64852233112502,30.116219945480125,34.58954137515979,37.69592604105561,39.790545521491396,40.999526772729624,39.9468969619227,42.67168111060879,40.65611310291214,44.27912655316869,42.59078455743365,36.81037461205732,39.83921113273948,42.41001089123859,38.04294915828258,36.29332867284005,39.5528359487956,38.77823049783338,34.29788437508456,34.30886159051526,31.331382821395547,34.88006418524219,37.61420914224412,36.80324084381754,39.161139821420626,41.533912933452754,39.23540660671893,35.43543650888608,36.96051296904254,37.63271645161766,32.97795290585584,31.8300719093571,34.01152355429979,32.19128133389793,28.860266315174126,33.03088806734005,33.503913007372404,29.07473883774133,29.83526110700658,33.68622610294001,32.36196783855719,35.47867928549429,34.90181533035219,38.057201303938605,35.91692387304078,30.647172183794556,34.261430581178445,34.96625866653195,31.517967737623763,30.42870073925356,35.83080380816386,33.70761798487557,28.536676410412944,31.412684592157802,35.35097260499622,32.24517206058964,28.542206974691048,23.88106603522666,26.26942687613192,21.723166319628096,23.511026621497063,18.483395476476108,19.97635407388772,16.820926238615534,14.211326818954722,15.723215179148754,17.998701185834463,18.47886694407493,22.06395186547221,20.240675426904247,24.530837713279006,22.185566317032677,21.25349803643363,22.67243017142597,23.192829218060837,23.1625504086935,18.69318370418919,17.994597252877032,19.919821795440928,17.81646353271436,13.678407247647785,16.03329031246516,18.67068406119512,19.77742458234339,22.91602421258838,25.24510563091321],[10.636037355218852,9.171121624459824,10.782426574410607,7.098166463670716,12.852611467160695,13.6615386926096,16.8978755195877,20.711501073098603,20.941575413607314,23.234016217276526,26.159226040335145,28.23131074585187,28.24487904377136,27.027087062902925,32.00407632323076,33.15695254022228,31.553077768385517,36.05301141711823,38.091723644215804,40.260600750507464,43.38539091728181,46.40257343774752,47.353356862375286,46.08673278929301,43.342088576642446,39.68013657646914,37.51940350259558,34.11239200496208,35.31266308631769,34.78804180434508,38.736555235865794,37.46292249771659,41.03430923566532,44.86589150252912,42.37497396980158,40.68519696316987,39.09530103078932,39.60497485209531,38.765474797790084,43.614862543339285,41.058289978541296,42.72648745196744,46.97839515486996,46.19662540515209,47.77528522492623,46.17568335117012,50.25329208503883,49.5356737121631,44.82275473408788,48.761700625315605,51.52858296652311,50.769126438954544,53.657044952851315,48.76988351202185,52.69319009800612,55.894211074742536,52.66543993208537,51.84746309893879,56.52020065796757,57.022223728828884,53.28941414896633,54.3392120459915,52.40397469256521,54.217383040579,51.66160727643554,48.02126792608521,45.550872697877196,42.66905729442077,40.255714383048726,38.187752933429145,37.47880332388308,39.98305247081013,41.73293881094498,44.95004922802232,44.07023691769803,50.29942629417167,48.636348843939416,51.30155468597518,49.88525363350137,50.504615206190984,47.97834696846003,46.96629427965763,44.374064493944964,44.20560423855761,41.36169486052576,40.95283280318102,43.549011387089,44.20594487356366,44.63922806218544,47.75344302959909,45.812164470264484,48.92897526894271,45.47529308275099,43.21712629412832,38.48100275033068,38.958398800401525,34.620728001435076,36.55441968025167,33.575587901327786,34.17969098917117,36.10834756972537,34.04113838996606,36.2865940620807,33.308815619178304,35.729186004936864,30.769847940859584,32.43764313537156,30.64702820147467,26.242306402302255,27.33577931799862,22.78035537626532,24.225578718481,21.874418501471933,22.969193724269523,24.958264481198455,25.034561729873563,29.091989964742474,29.815392707445394,34.56272430609368,33.01395428015663,30.19176884786959,27.18884287127825,24.227190681450814,21.76088275749992,19.149266972780136,19.825979867778006,17.644135297362958,21.25419550097775,23.12104068025169,28.256600791388063,25.94962275253836,29.967056701317446,31.73419773832602,33.428963914016485,29.633650383126454,26.803538424794777,23.695838266506225,23.658331363783383,23.27966970133105,26.80047820252809,28.861795119315097,33.74847363654881,33.599475904789685,30.97600018445254,34.03601242139277,32.897702684128994,29.671311495719944,28.75882722454067,27.561977848854646,25.00284786287288,25.21309935445045,25.42259572850358,28.998857864658778,28.53872880848499,30.510085698959635,31.30651251226768,29.87020136856446,29.645010413050375,31.22800061728591,29.776677749025076,29.78810220470523,33.58106158162747,31.648836143271414,36.075362150629196,35.1604049125726,32.93041431165787,33.88097312326648,35.187706533812,31.71697201223752,29.15327139869304,29.308138728895322,28.85576102860763,32.34817162006057,34.21962168482163,35.68745130905915,36.406811707462644,35.853948578152306,40.49509585995886,40.08996564167085,40.18175415833438,39.03318599704118,34.089805847997695,37.46906773526744,39.47744380185526,37.24478129776121,41.177931972438714,40.898577170416964,44.981948881077294,43.039286257225186,43.27548521815704,42.70383875831563,39.72179399242846,38.17907185351662,35.2064862356295,34.47285899456948,33.171294664629464,28.538885493143518,28.758835108944933,25.135343784595545,24.755492261962107,26.57139566805806,26.329192142696805,22.620833649575054,21.601052431642106,24.642256390597975,21.692134042324522,16.899063331461427,20.58724249313765,24.016716616288875,18.147547434044245,17.469312902435206,21.04903104284064,19.97068835691295,15.451628986065638,18.362491106420286,16.98383446315777,22.753677107717962,20.419643454056114,21.822689903254453,25.497265844263477,29.741542452996935,32.996174632364536,34.88330646538962,36.28250700336062,35.20911302656456,38.04330658079918,36.25769006991864,39.67704122622971,37.745462799956535,32.08712463579526,35.265645647859934,37.54358374023602,33.074374827286064,31.543384271978955,34.89191064005892,33.78436989082604,29.27356890773911,29.754034129538635,26.68854915982012,30.780851005990698,33.375480032679256,32.62839874159367,35.35578366704639,37.84324995824484,35.92789516271656,31.814128044113478,33.2854616125416,34.47934337085007,29.900923583018205,28.309242923754336,30.86635647571674,29.434066586300965,25.729679789023667,29.619341558652614,30.572060528073987,26.454740029300503,26.505270547113074,30.19466601956408,28.462062629553138,31.459427004468782,30.866960694944463,33.70234583818797,31.490806185097497,26.23264162160581,29.69118215170822,30.13354375555176,26.67255871160939,25.546458641775583,30.776693738851545,28.521516106263217,23.34791760377498,26.270380249949838,30.06711463012169,26.91200898932742,23.206600021767535,18.564577683866375,20.966208194676867,16.44737984025008,18.34174122793377,13.34396034044212,15.017453017074134,12.553490354171675,9.33212337254193,10.57273975020187,12.690541984562211,13.47567817596566,17.205535153591583,16.175801464120998,20.641564694920053,19.072347999087413,17.96616659851306,20.192040932493363,20.675579431814665,21.788348231885738,17.0308837753415,16.073571954994602,19.065902157119737,17.441132031369627,12.70809489007968,15.56430571792835,19.1582274422863,20.279761271669894,23.535606149900286,25.797929899387025],[7.473724679144725,6.174320696732491,8.246457153742353,5.571109276293517,11.533960766640687,10.275040365226253,14.07789631651371,17.133414680741545,17.454962846208858,20.556746198692387,23.19732937961932,24.685340205357065,25.535831659837005,24.750427379082176,29.40246441216447,30.522363286591453,29.625218317094408,34.288777995625544,37.01125910362918,38.987763289993644,42.441040130529444,45.520989452785294,46.804542391161434,45.95585340513839,42.95343540997424,39.18103919852573,36.75379894754497,33.02824961336013,33.57841340162638,32.45224495607947,36.19476874386649,34.494963793257554,37.79971881720818,41.9232691724876,39.675439134322986,38.46541300688226,36.64090698441891,37.95052583125715,37.50717860659712,42.476688665996356,40.450645791157804,41.80682989113236,46.00690674521129,45.51101828907827,47.50874395986371,46.21920187900564,50.269541260129195,49.08491090607764,44.442987748661515,48.63657652258363,50.99055380894881,49.93988060659178,52.58473433045772,47.57656639358933,51.17797932121853,54.60717337055428,51.544909907864714,50.302645111596775,54.92633177691342,55.85006452987803,52.048305785280796,52.77040094637778,50.56106929512847,52.79888411033416,50.452932595750035,46.561582360150695,44.26974425770661,41.00278701353669,38.932469296990064,36.41701491380286,36.08525655582374,38.62458062678039,39.949292459084525,43.41683228749217,42.062791434428696,48.174521368623644,46.64014084752149,48.91683281906856,47.6424174007495,48.521774270741055,45.77387902283987,45.11791955794011,42.128357000512835,42.44070138598397,39.89140937342685,39.0504788481987,41.78563819080368,41.8336041042954,42.58130523100993,45.13628083375266,43.34788758987621,46.385688124430594,42.763249971732144,40.20146382411849,35.52360310938368,35.8366705639412,31.600169926324234,33.14071646340278,29.97267414772425,30.012881689276664,32.55873462158915,30.31391765744714,33.15585702857423,30.172124235358588,33.25509849436487,28.3291010221481,30.062563944464333,28.86605607711567,24.368703144176347,24.78473742268906,20.19733517518366,22.102101549950653,19.440676887256163,21.434385078559107,23.291883481458534,24.17700537829775,28.171432107593304,29.67698388199332,34.129144320672324,31.874453958981626,29.305705267375348,25.991460690928427,23.81287340427506,20.940823018010246,17.724240323764175,18.98649692732437,15.818619914466904,19.852380148811637,21.73840286196067,26.771924748346425,25.381220456430484,29.136129442708313,31.308778200762184,32.25452828800217,29.15218120915152,26.15403086912039,23.960687769258676,23.916743725240075,23.783154470639,26.74801458288216,29.545791382235983,34.312081724442734,33.51619643679159,30.63649339354307,33.37351337729037,31.577336781377685,28.463840618996255,26.83042309833064,25.28963198791868,22.171326710997796,21.86424254209899,21.444149949246352,24.725820988235228,23.756950398302834,26.03870779513113,27.201663420864943,26.251436037720104,26.165819631129114,28.239663463042618,27.193475818590247,28.134556041142993,31.900194120404052,30.887222726003742,35.04205501182324,34.72615025501645,33.32764724539141,34.21521404472493,36.13963371529131,32.77104732657869,30.080734611995872,29.70341821897847,28.82562622958425,31.646827774516076,32.98710507397025,33.96793046891629,34.14246457709568,33.38294688890591,37.850084985021255,38.060234135599046,38.10177512757238,37.66217906264223,32.391227605471336,36.29618424950292,38.69992742004949,36.623046794044775,40.52276616350886,40.19040117558351,44.62547699837197,43.270339052976105,43.420289747628196,43.14417744396686,39.77424920381406,38.442886527490714,35.40943333236643,34.64248602607545,33.53720782248763,29.014646215751135,28.724425896164686,25.058193414167125,23.735261066603865,25.561169421468296,24.4343592825384,20.793564577968787,20.578500117333473,23.037110929534638,19.329695981543118,15.678047299795617,19.243489157137212,21.563279485070453,15.385908145656595,15.507286992717649,18.80496613266653,16.7190073942559,12.842855970543345,16.56749250052542,15.941892576191298,21.376324710464903,20.80405426730393,21.391630766664225,24.654998766326408,29.271499450330207,32.45993925594575,34.53670153615239,35.35599916231628,34.34399258002487,37.01108969111926,34.96220028770819,38.84343238308622,37.29147606352058,31.53263362442459,34.65013712419958,37.574013154184506,33.35048337569925,31.61451375209568,35.15675823886333,34.738742172264516,30.246162736019727,30.438321099161385,26.76232391245504,30.06418965701805,32.54809139025095,31.247063030973575,33.51912025550626,35.5815150766698,33.43219899664339,29.727424850465468,30.867491970023668,31.498441597990425,26.963662123848604,25.64618185360607,27.663945576179252,25.841527380231405,22.481785866453436,26.660497511582843,27.115760005345923,22.722995494923094,23.54359923828967,27.437915102254202,26.198382394475793,29.300945604954723,28.765058156823994,32.09489344218732,30.008245481074386,24.747126363621575,28.566305480416336,29.501467077775416,26.09892214481981,25.229498553334402,30.84104739572314,28.99573247942814,23.93480533485496,27.0071162651714,31.137233586624063,28.349072770394677,24.801437818131802,20.083061150033995,23.37499307862062,19.06499536210191,19.934048767669637,14.56961221225821,15.014725655654228,11.072577126894279,9.63838520451515,11.62127005645966,14.833788857931589,15.14380483298238,17.81616824197905,15.702163459846876,19.98267379865522,17.970406652017964,15.601210970581345,17.007036596747877,17.067450371618506,17.513546308612735,13.24642331331219,11.798367992630832,14.222372939971052,13.034551351917207,7.993168164326718,10.475018686701027,13.940268645869704,15.190396937444257,18.508037053933133,20.75636550953978],[6.224078052978807,5.144227839286022,6.981523409140251,6.586615674413488,11.203479754221652,8.745353473254697,12.85005145457912,15.068702233884505,15.88704375165942,19.586829893522868,22.066001944509093,22.925991142888748,24.281701832193768,24.091456954292678,28.395312027049627,29.30960890469981,28.9078064191567,33.66021212750669,36.85491712620507,38.523194983148336,42.217498753460355,45.202454974481526,46.775729402122586,46.19111053488474,42.965739844886556,39.24289377735378,36.54876273882864,32.70174040292711,32.80964303235695,31.216992396545358,35.01012214514674,32.81760531315883,35.97508652717723,40.283587410948556,38.11905350586315,37.28332060857454,35.144372400704235,37.01353629782078,36.77074039972097,41.63212190333072,40.08185112279291,41.373445047978315,45.45311387287799,45.062171639616025,47.33692105923399,46.18422890323468,50.16668840845432,48.69439191956939,44.06668244861533,48.29539934350782,50.38176519059811,49.08568489733063,51.60261233493812,46.60742723659498,49.96695757598156,53.59300002247257,50.740331379092076,49.254428261990206,53.81654478825974,55.0508581283229,51.32257788340293,51.91879514865777,49.59236615117989,52.17131295539285,49.90331635287537,45.85587983350685,43.883584994297344,40.39254438006511,38.72016249411751,35.98919377306965,35.99888281293582,38.64911515935609,39.56320839341327,43.08732471810326,41.308977762511574,47.26251900648985,45.66946510074346,47.63937112437337,46.352230085021276,47.30685260967457,44.30630467383042,43.79370526194562,40.459244434517515,41.00163480084464,38.76026963687683,37.733050936975715,40.68204111772699,40.30350604048199,41.44038016947503,43.636231147683745,42.10494893264801,45.18432388380242,41.500827120084956,38.71205142164054,34.1275074901009,34.4574046439891,30.356330027851467,31.340618210698242,27.9817302218493,27.452361821749147,30.329628788550522,27.71674519590326,30.98439476095183,27.807580338152942,31.182955154366493,26.304866499935624,27.88907855661286,27.070645361997904,22.576108814728517,22.600801426689404,18.186200404141427,20.611314043479428,18.05970669047584,20.737232002323136,22.73815377138521,24.180103139571116,28.11134326968194,30.128524220170938,34.44196736480507,31.762759918413163,29.501482118177037,26.026362928647824,24.367944143499912,21.203228189231087,17.598947005293127,18.855711546942736,14.807503525183769,18.91078724851997,20.556272518490797,25.372251935431976,24.547781592238252,27.950383194396867,30.464960414061757,30.92975554638345,28.445911386796993,25.54096306083408,23.93678010294283,24.15687150718692,24.391857067476014,26.905508930260137,30.30336965611553,34.90603571447579,33.762882421374364,30.683841026944243,33.09924611788976,30.938833292244983,27.943120231031823,25.79976995924445,23.88123413709184,20.52791446328497,19.602193410999238,18.93870975142653,21.74572893971828,20.62710866585496,23.261915100888704,24.531899429827313,24.01942370797923,23.79363057187805,26.342978973295036,25.337247975879613,26.98003880222748,30.825767130078383,30.43495286621853,34.30075715662653,34.271228546771724,33.480731647447634,34.14163863818756,36.45170411753075,33.11814770823962,30.50716881564083,29.715116653106442,28.704063637199408,30.976310617485666,31.949770059527022,32.64307190101645,32.39617204208758,31.6871248504969,35.866764409014785,36.488480436030024,36.37816316239705,36.41531182614854,30.89623056971489,35.01238923368135,37.64332902498716,35.77968525207184,39.74567883020824,39.53224212492231,44.08215625216149,43.215005288488484,43.15279408436168,42.99744089363805,39.39277613903361,38.096346712858534,35.00146222565626,34.13759715496156,33.08960323800963,28.74962986745676,28.02165412409226,24.351861479254662,22.43849812829832,24.105789577321957,22.405912224195525,18.960577584860808,19.24041367944996,21.171331303313348,17.052191239049655,14.41765448858944,17.68963705829729,19.147743167805363,12.983795747154293,13.754329142232079,16.73930817444832,14.01801286899193,10.96020272843344,15.134257050615833,14.97828251571981,19.958250171490594,20.557349091409748,20.47285414354176,23.376197266704366,28.110435473905337,31.249385580497933,33.36376864202966,33.744130360760835,32.7612675204955,35.27978927329153,33.085427803191706,37.23870030686162,35.951272289324436,30.216608797923598,33.26563567100469,36.58480048623151,32.5909929489635,30.769389157766685,34.41994009044941,34.45888270665816,30.047792827768404,30.123420207785518,26.040241013684625,28.784851890692323,31.103441282401093,29.4025618906779,31.36945321199949,33.10229143008516,30.881875410584332,27.472094694881743,28.321777324977482,28.617607535804584,24.18430779950875,23.006847497912748,24.653414952766433,22.625452376275543,19.513340496567782,23.82849746651207,24.001656697432637,19.521011849123674,20.827820008736797,24.798660300219787,23.868365446012145,26.951344368779797,26.43476783081077,30.04298884834736,28.102721914831196,22.92306415346205,26.899093663124706,28.169304774498595,24.890082607651262,24.204584152168128,29.960686079845356,28.459113098130224,23.59484118755183,26.685429664554768,30.963022480448682,28.515680681577443,25.163060701911242,20.55774554879348,24.39325578608288,20.401326591082498,20.571814105321405,15.245634258838669,14.719804715819125,10.068828764859482,10.219301545641063,12.394254923747344,16.038488015597554,16.065301046308534,17.81274255738688,15.184989343734035,19.101408959725994,17.05411006849326,13.613033837619762,14.426600357259233,14.050534983573955,14.217509048537739,10.55144800852887,8.49980298372869,10.63488504564512,10.180761806215179,4.923990518319915,6.981144991397095,10.600903873760643,11.907516736455515,15.282103228436952,17.4671919643349],[8.610989873919133,8.460824444990873,10.39063542631258,8.632714527319537,13.571792425086,9.970054972380618,13.643587155600345,15.683917741258897,15.39532023584496,19.07301178374387,21.101568247743735,22.181611714182402,24.03261986090365,23.266080490291007,27.514031526965912,28.84273529589172,28.65434018961239,33.29265376780885,36.491359756753475,38.521335306620415,42.12062154681663,45.39164489311159,46.81086812605221,46.332993541158096,43.28217431222582,39.33694929364855,36.91398839339385,32.92719449609837,32.891945762128366,31.343453768464283,34.44837452864582,32.70399377231425,35.5872063996613,39.92717096439949,38.09735258058633,37.29630349918755,35.55229146675834,37.525834119236876,37.54306326882176,42.763000806008314,41.04274980148495,41.87822256894143,46.06984277116765,45.935471221910696,48.215881076755146,47.2920130837506,51.31293344516289,49.76467520861203,45.33375576929197,49.83478515952243,51.818398925310554,50.610320613555594,52.95799458867467,47.81445866925333,51.12467475059156,54.61527407943348,51.59469663448486,49.96063151309329,54.50688947060632,55.724060029671946,51.740325982135055,52.031848964899915,49.52039609342812,51.986766335472154,49.95830790239597,45.919260988313575,43.51857819607212,39.946191222960294,37.97048641434971,35.00712159399996,34.88436972396556,37.228268369384224,38.337820022996404,42.115488987496306,40.53696362106991,46.53974355538884,45.3770060730924,47.33183998516812,46.38011012607659,47.63308321953969,44.90188092171774,44.72755282093161,41.56231384373862,42.438579892598376,40.0599169214702,38.70031686322909,41.296740710228164,40.81656206292176,41.55665871083042,43.51222599713085,41.660758594545726,44.410172415975765,40.61666583315656,37.85564350725963,33.27296790675171,33.20162044355919,29.101587892504327,30.63959875984815,27.473090909169027,27.1539235048752,30.46509664460786,28.48923424913527,31.844487601463072,29.257779231534812,33.13039697095807,28.416396220311427,30.417967394622814,29.87722046870369,25.46914138533221,25.08302729153041,20.552607301958297,22.45067947487816,19.25425761256452,21.818058364196418,23.018183053116026,24.527005943091716,28.215523858446613,30.284754634910495,34.1955260185982,31.38313773650238,28.943251165436788,25.496803046519517,24.14732049772551,21.26126678642186,17.895244456013145,20.106397579187018,16.837139744630147,21.02971549080838,23.106166908554957,27.88004326297718,27.4298984333018,31.001116112817563,33.28758054146587,33.54515283236248,30.936463026239036,27.681066655483978,26.376264400465615,25.93770230563856,25.669938887462852,28.122296496652144,31.118410138229507,35.71509803898926,34.35248203035788,31.456143034660617,33.968723908551766,31.578928690371566,28.663635612600885,26.511182955143422,24.961288551097287,21.266976557344424,20.795685058152994,19.32402632402135,22.469162266774664,20.559127425586556,22.93912468573366,24.751360437511508,24.25936239545552,24.70824820519221,27.004531458162525,26.796886799199132,28.47644206510027,31.8682673227591,31.68478539146671,35.60211160004754,35.96355888750025,35.16524479621219,36.25019778387128,38.5738971051799,35.453574775810914,32.55604750048019,31.919290576687843,30.554324672305338,32.85461350313493,33.70747715048159,34.15792553582721,33.906688694721154,32.684727034694,37.1013342423663,37.8852170742772,38.06329372976665,38.26514282547327,32.94712597447482,37.372585664438276,40.08253814483628,38.035350503345526,41.64738379332319,41.04489576115066,45.8267417307367,44.81175273081621,45.13013792663936,45.201327444374904,41.6009988282557,40.63254056179498,37.68421962970327,37.03184097237065,36.21484734147012,31.80875130584973,31.30777349776914,27.79410664116661,25.758883469033925,27.69635993816911,25.822532724328035,22.33352531394199,22.93316345805418,24.84659015059249,20.593744595999112,18.211097245510135,21.463864773312324,22.63410769325531,16.522667619142762,17.362488755601984,20.09394915786231,17.037157278519242,14.130315029581899,18.17121981127378,18.357831672107917,23.16379957551332,24.014519923354914,24.130834569806737,26.926790188290166,31.749170944455486,34.71630306796306,37.01326846154114,37.41482719827172,36.49718963612401,38.97960323080354,36.726409941145306,40.92668539787811,39.715079429108734,33.96415239328185,36.940940565598034,40.319843874591555,36.33783278052785,34.44668050530174,38.01997777723458,38.11054066158699,33.70353740213919,33.584674525294524,29.667024377118377,32.21936122878763,34.630718053141216,32.957098909463824,34.72688928821324,36.388377368551104,33.96128596829392,30.76801651864395,31.640686060560295,31.61873526291563,27.213330798380174,26.32141367945565,27.675017266364446,25.412290882637727,22.617990831917794,26.972105989419934,26.785197747971562,22.14666788037166,23.871435077490887,27.856769903838433,27.21138675797169,30.377191166591718,29.94065021942788,33.65468439413466,31.69090351876272,26.603592487054772,30.625864241123338,31.920356661786688,28.635875183583742,28.000622809929737,33.750822944453475,32.19487499714049,27.33127107207286,30.422433207648584,34.68984041401535,32.12351147802835,28.72255604007534,24.05813145129733,27.636051671643468,23.450118585938007,23.82240300650533,18.515175928728194,18.388921793117852,13.795124329835668,13.554034743151982,15.780757286772506,19.240629267257116,19.28981785028996,21.35528077765379,18.520355362525734,22.40563238709636,19.9044285236398,16.97722160946767,17.23624375382463,16.942365023973814,16.14328681121433,12.802701434512276,11.14780702095488,12.048910201327933,11.178697264843686,6.7687177220384225,7.877407441418369,10.289852901650228,11.758514923972209,15.031795441851305,17.267285598887188],[7.791224142158088,9.314889328347466,12.147426862369052,12.847385364906405,17.039225078963423,13.229082099746979,17.071844547154942,17.89056902051762,18.232554727864358,22.57638621656626,24.211868958450033,24.351631407691386,27.07782834977316,26.974930708847587,30.67698261730493,31.810165312198542,32.296725218966046,36.96717173083593,40.652491963228535,42.36161452083474,46.1852059885872,49.33561295412782,51.04094885973029,50.805488108976554,47.55764025894042,43.70017493428473,41.02119439070289,36.956904461479056,36.44094809550635,34.32410206861574,37.35166330171995,34.985895280973736,37.51552787721603,42.12704797877764,40.516599094211635,40.26920721049736,38.12214902610482,40.81480647759327,41.03247304840097,45.99998082143981,44.84867549887102,45.70052514074232,49.711967777600826,49.68197038785537,52.247560824450375,51.401033639698824,55.33496458373427,53.50679075722997,49.042937275131045,53.457181640968805,55.16988331116853,53.74679797513826,55.98226224268472,50.88899052335738,53.87844710193238,57.651335789882005,54.921076306385494,53.00684713251471,57.454542579614056,59.06412197183432,55.209631149802306,55.33523618925028,52.66997156324777,55.55543519963005,53.64902685462853,49.4368699356285,47.386880425128915,43.56968603508647,42.00936264691723,38.769597109517704,38.98740369801407,41.32008724514555,42.03494534460634,45.932567488130616,43.90543552377306,49.6586528715706,48.52772306734507,50.03783817507536,49.126173262457854,50.49042010668711,47.42040771895604,47.410874336084234,43.76609222375435,44.876275170013514,42.93619166883574,41.44073769589746,44.33698506410326,43.281756457312284,44.552973883372104,45.94994518764631,44.43073923138338,47.12360483792872,43.23224549490251,40.151046060838,35.777367548721,35.54706878794121,31.731796363421523,32.56748546664288,29.187821601358124,27.778507606740764,31.8648554161255,29.26244933946495,33.37949200042244,30.40325671027406,34.5354443166056,29.893016014022013,31.323100441730062,31.156418032182128,26.768792588111317,26.162349545042748,22.140128652089015,24.960148720933482,22.203502663850582,25.473716488746202,26.9335806424113,28.928605594173277,32.55009348134589,35.01375402895322,38.81892293849395,35.6336426491298,33.48833342625781,29.938637779463118,29.037875415312403,25.93989947495404,22.29346742737414,24.234465383285016,19.949804227159966,24.034626300019802,25.52083824431705,29.9905497153485,29.812346077749055,32.79375013035362,35.664222870617486,35.58005260615939,33.769028693651904,30.87786296623296,29.804145160234842,30.002348567465287,30.224774325933403,32.42464315483754,35.944490225044206,40.413854833387745,38.84366988241829,35.75594106663486,37.94773720560385,35.2555547021017,32.4818905848138,29.805122957404006,27.758515191338056,23.88157645624439,22.404031830080434,20.511280698512717,22.486270901361287,19.754343055227043,23.09916679228675,25.363747322014156,25.801772216493585,26.016700631379116,29.095685714375538,28.83452360455481,31.399188695351747,34.972117518627634,35.41639633238488,38.971326293262024,39.4596603340547,39.20182638278289,39.846465805927124,42.42592810783495,39.16750681817228,36.55542056767397,35.54243029486499,34.31122697281448,36.093420880333504,36.60245599793303,36.79661721684305,35.97048972701512,34.9564947269004,38.81699734577081,40.18833050955764,40.048351537126464,40.82483601224943,35.14513494175987,39.60590589278161,42.502501446728196,40.83790671912707,44.708217299778056,44.40585480603616,49.18063135637141,48.68795048476388,48.62436158436348,48.647610963137936,44.85595216851391,43.668495185479124,40.55116772109315,39.60174827736083,38.544352394357084,34.376249689872104,33.20966812812688,29.454384003655495,27.10595710793536,28.208491707558004,25.899439862458223,23.02259188388508,23.47075295295784,24.370455449323117,20.026206589466845,18.678930188395466,20.8388797741896,20.83807168660045,15.110318884143664,15.98808888424433,17.706081037331025,14.073335877460732,11.99382065776737,15.708786016997966,16.966230320025243,20.692653695421257,23.350237943622137,23.17852720996615,25.194398112550154,30.275403893832234,32.71191440004824,35.46585276658854,35.736463033006096,35.316474365741655,37.88462581987784,35.94742900947935,40.41591895117786,39.16221594262087,33.819668262597915,37.031525736227984,40.58845860479895,36.777895541973166,35.21792068945156,39.09712039659659,39.25541427412535,34.92834516945116,35.39335373396217,30.83986800760588,33.243189188243406,35.17284050562902,32.747483025697356,34.375603200106504,35.28568234826257,33.254765991535336,30.43992844829793,30.294644936461573,30.068135702819795,26.222674549329664,24.947921283856925,25.391667608610625,22.933193208656252,20.40340330900758,24.27128755677471,23.45036654399436,18.654595644733337,20.685495512899493,24.560312650033715,24.56340175803601,28.03808445254881,28.237735419415447,32.0711036892247,29.737350732267977,25.257079939474664,29.75682940844093,30.908580945372357,27.690425313838436,27.942609675449653,33.49035798646275,31.830799087776843,27.60592896784138,31.139177537995366,35.06257678452384,32.51431594635245,29.572553161667756,25.164872272337995,28.82751957103087,24.907225935142595,24.119099324644363,19.211153939910194,18.73656848277926,14.03365495990686,14.816329154287912,17.633976074659618,21.32068585460335,21.787319574793987,23.080654958294307,20.652251864403443,24.286488897057552,22.379529648388623,17.843301644239276,17.663603359528516,16.15325561978813,15.471131367403963,13.735545511570686,10.266587030271477,10.33251695585006,12.236814025553628,7.9461847872441345,5.140705594848633,7.680164029156722,10.51792050046048,13.558540518718981,15.082135954575698],[12.035331073318579,14.027479057148563,17.03652483281261,17.16587725922463,21.601971342931222,17.30755744867974,20.797938062882587,21.24751796904738,20.806761460662397,25.120562787857317,26.16292304147938,26.217753034704693,29.619751607904032,29.149878315469273,32.54624983814361,34.01708636428095,34.892588837710406,39.39407402945651,43.166084791194315,45.1271041436136,48.88182779310082,52.25763988233609,53.8702718598181,53.790047854659115,50.683028723685595,46.665952289954454,44.19939843416439,40.025738651284925,39.27038190354323,37.06976398368989,39.349345253624435,37.27602529263851,39.362750008118894,44.040490480476386,42.86874921601453,42.83027157381196,40.96715765445119,43.932622198409526,44.43276344903611,49.621068596897054,48.449112955580794,48.908733747308865,52.95906405157736,53.21344157026983,55.84157820239731,55.21457138505965,59.17197672333951,57.21313787700656,52.92031259517553,57.53223400577453,59.101467278249835,57.6883372900517,59.740851838162015,54.54155725074359,57.379516954439794,61.1067066624763,58.302784390937255,56.16571660222083,60.563962092279326,62.27316507817296,58.21167588212706,57.98255680918661,55.095756018160785,57.97314310557089,56.3588060408554,52.129362148111596,49.76025296692462,45.82798605561091,44.0902041911824,40.56809566686753,40.739893412863886,42.70775122210098,43.50999263329678,47.675231768939675,45.74507181141424,51.411552405106804,50.75975515370688,52.09877815304431,51.553920303828626,53.24022994561713,50.3479842866089,50.70682833384184,47.09680124937052,48.566681846958815,46.636472143464815,44.820052799161786,47.45699385800519,46.14619934973404,47.182531833536764,48.14908385036888,46.4193033264655,48.7130094974097,44.7105748314831,41.584476700452946,37.35636463121656,36.62928821458593,32.9979511388019,34.16712609666972,30.99379234774812,29.43841656237311,34.1638899788892,32.022751221922036,36.39414356953296,33.86817105278285,38.43793909457719,33.981462452574156,35.56661019358123,35.677179410841646,31.368639254181662,30.45977241002075,26.512049968973006,29.11771396682782,26.0208319598962,29.281318155432402,30.15008158656603,32.25720207594362,35.61986188780882,38.16182100149345,41.560576469048506,38.2080295812913,35.989387552222986,32.50304770118449,31.971556825716636,29.119757443761,25.68357810680314,28.23067209734731,24.348042593146438,28.45572944571946,30.11178220217196,34.490447468051634,34.57402236129896,37.55428614622721,40.39508259793639,40.1203296801933,38.3715322952927,35.320068625366545,34.4414897262922,34.29511495989769,34.22189268868366,36.3876759915781,39.64550294180574,44.07640585476629,42.300040699274064,39.34838135058269,41.550372696110216,38.62516713291263,35.97217660500605,33.207273308106785,31.376593673455016,27.251383059456696,25.936743729882675,23.303675688696345,25.139392997287157,21.399073603201142,24.710626303688777,27.63296051655865,28.391687972030134,29.148444663875235,32.163387667904026,32.56793077066502,35.331471117874614,38.55602802753152,39.29472239992062,42.804139542375935,43.627549504124026,43.43297798522255,44.32214429042766,46.9389718236813,43.78161612664644,41.01686901152175,40.069101562694414,38.62986745205846,40.35240748767248,40.704190154175656,40.6485598508518,39.68014215243547,38.29108594044537,42.16761697493855,43.835331578515834,43.856041968356195,44.91072546912851,39.32279433937154,44.00478614070534,46.992028121450545,45.27754564828367,48.93338789653246,48.393050692170554,53.34584695360338,52.83865825361691,52.98967931200061,53.161525317899375,49.34314227289819,48.33258011669267,45.27344370485429,44.39334817436857,43.411067771369716,39.234020764999684,38.09383830420581,34.35540359471184,31.934213778991538,32.983714233373405,30.529815325981307,27.779218041372896,28.286770235981734,28.958903524462798,24.614398262467116,23.489875065900318,25.377510620007573,24.993872564809386,19.54773409390408,20.278518196127187,21.506950187076676,17.790019787030285,15.94012880138387,19.095365008733488,20.84224579637643,24.02132882696771,27.246746543274565,27.313397201409185,29.00121343134331,34.186653412840144,36.20431206128578,39.30191800514594,39.66887265496004,39.526555002504466,42.1422032905214,40.33866015041778,44.88322521302011,43.6035106431092,38.423782718202176,41.69309175187834,45.26791046628682,41.47885334995252,40.01706914297955,43.9294394423514,44.04584704148202,39.72020053043815,40.28765147568736,35.70605585590326,38.04981892210509,39.90646174784822,37.31249464716315,38.79689929559634,39.41296338182296,37.40490643593309,34.864296962462596,34.40349579981613,33.91265004978775,30.33609750412548,29.122459880497853,29.04840392918468,26.426163386291805,24.276270753022672,27.826027690034604,26.50862068400793,21.73130972404668,24.010898807699995,27.690230393162903,28.14617838612047,31.772458540470172,32.309894701868444,36.162694856247235,33.62053097532374,29.503299994985113,34.157029123327874,35.163489887983594,31.952660375064745,32.54785879649364,37.95844861698414,36.106241654356346,32.106950553766964,35.81017062039042,39.535666383571424,36.80654850979671,33.97696072859066,29.60784611158515,32.95697190885444,28.923756942215025,27.98583644032557,23.28226346828099,23.21025232548428,18.690719217226746,19.153003327569184,22.133519089437026,25.70872322614988,26.407895884564635,27.87250414403868,25.53155473326281,29.170104911393885,27.13358060551172,22.640755118242026,22.153255255309357,20.479505226481606,19.237613417803175,18.129059836957904,14.769196449717892,13.909888282652325,15.972738966797717,12.509872835868656,9.213125463904852,9.79450631484356,12.813896630065504,15.205762707664533,16.273586974351115],[14.148363578204261,15.403711425111966,17.568171548662352,16.81269920019618,20.872047284512323,15.789496734451848,18.68252032346314,18.900878167585493,17.678724657920196,21.8343029971829,22.507829124636768,22.67387213580116,26.315480450716315,25.568952364939676,28.794404143939936,30.476119932464098,31.52362414433623,35.88544415954981,39.69891244731235,41.8100096484663,45.50681293632886,49.029221886422086,50.58377762425064,50.65093752340561,47.63570176867044,43.51555597117404,41.208062617938594,36.96669951886688,36.044297123715815,33.87262943872626,35.676663641584256,33.931795992160126,35.85554860940201,40.48308698015362,39.514317419283095,39.48118387596478,37.923530920708146,40.939191367141234,41.65684932530813,47.082994328913024,45.839999995263135,45.921396055812245,50.00573516457114,50.48021887289058,53.146339190307664,52.758083597745916,56.7092027836604,54.63546427719846,50.55342101278237,55.39922564124075,56.825447909784494,55.43938714609608,57.31371555121367,52.02313179966809,54.79647400763319,58.38344554977987,55.468346025724934,53.21344374740377,57.575538245361756,59.2731392575632,55.04398083878093,54.59347633514428,51.59777745248349,54.405250108182635,52.965590613044476,48.755690597338514,46.17267801719823,42.19498760035012,40.36658198097407,36.71549712872444,36.888273196436735,38.71401606590716,39.510580438659076,43.77442393681931,41.91168907365705,47.557835625549856,47.15089994860855,48.480104496431686,48.14604982556854,50.02116282505566,47.35989883229815,47.974446643811625,44.55851299202674,46.292124257783605,44.25612730364757,42.164140312633585,44.496623810240834,43.13378214682103,43.862687572967644,44.68443749670375,42.75386765858327,44.85446922241059,40.8246377242479,37.75487807803448,33.549188624237516,32.6354548662506,29.029224127471327,30.525861172652153,27.53795627978403,26.33879759330458,31.13921606077448,29.63319341575525,33.85766910444464,31.930213901297883,36.84210972360841,32.59770414355303,34.700848112013766,35.05596482833495,30.893255377871586,29.56909080088479,25.503857697488165,27.482989444561532,23.921151581005397,27.062010990553567,27.313279726907936,29.547838505549073,32.62816965495141,35.31595463781738,38.32704084352843,34.81989569308581,32.62473520484071,29.193704593330803,29.06423486467388,26.394043045519577,23.15401631610435,26.313757989724202,23.06246819976803,27.13807755094178,29.19184401034698,33.45458341904745,34.03063636041028,37.19572194730327,39.717069322962956,39.156008317728165,37.31161878627378,33.93410105457648,33.547595172052674,32.79338051871697,32.394322925872956,34.30931679224759,37.3910830930892,41.68150924264624,39.63129322068678,36.8126181148793,38.9710295086192,35.84052804174576,33.32178158362235,30.5328589792834,29.017586963437953,24.73192258097317,23.893980981005715,20.7606075807125,23.057772529041753,19.055221685965627,21.792001079069664,24.940191529833733,25.529792770797627,26.828501740208807,29.47787737937216,30.537465577562884,33.2637372657533,36.046635573072656,37.03148618552421,40.493961797545836,41.721897233397684,41.667823630153485,42.927349462852284,45.669829743472036,42.796519906762946,39.757212743446416,38.84045957316792,37.01234623363791,38.62104317780676,38.810148925677154,38.51644561965721,37.58328957267067,35.75662336546376,39.84578861017532,41.57344588132452,41.88217774384381,43.0574098999707,37.73711061512332,42.70573348977042,45.76892394949331,43.86902017896132,47.121405516162625,46.22366108705233,51.37982436267696,50.84056050499835,51.32095454231287,51.77487640157061,47.92969937074992,47.323273064640006,44.45525919533979,43.84709970655017,43.24213389439254,39.04102307897986,38.18315396129702,34.757819814232136,32.07048197251963,33.74687530472267,31.081267469712365,28.091176244346748,29.262329443723086,30.249398815175613,25.658340728416565,24.726351091439522,27.160357070739934,26.79959206400076,21.27027531464542,22.50554587852905,24.105565799770257,20.168232112324883,18.55607764611447,22.21749622839937,23.601730370933936,27.168363729676578,29.96976047790226,29.80287326604002,31.765340683792232,36.840349026286844,39.186370724603776,41.98629186950771,42.049751247035935,41.55148420065749,43.91388184420184,41.689065098702706,46.25984365800712,45.31797081808905,39.85013126660066,42.79731300686301,46.59804227002382,42.90264176896464,41.06647214091662,44.756611057589744,45.25112026739836,40.9488747765472,40.843735579907005,36.55129767302547,38.40785699845025,40.52598728387773,38.215226937760804,39.390113080007744,40.23848879865359,37.73941278644375,35.36405988332839,35.45113430867203,34.59427886141558,30.774450368579174,30.19776238864438,30.28882297883479,27.50937765184913,25.673110703514293,29.68744966158211,28.38925025661414,23.649651649957427,26.405402846495257,30.199825800938097,30.583079008059617,33.929617088093785,33.99955947555552,38.035100661467204,35.95797468077492,31.51206072261371,35.88819014906628,37.321921130612324,34.189516633980254,34.2372522213076,39.89910045206578,38.41679588164523,34.069097867402,37.40813904312352,41.52468420831757,39.023305415451844,35.950022548940424,31.438089083418507,35.039472785090005,30.93520425135835,30.515104504689372,25.4966946960739,25.1741113446882,20.36789068236653,20.88156619197337,23.514987629517467,27.131307243082635,27.329863139534623,28.871917477597446,25.834966907513344,29.293458412774257,26.64074856509069,22.89411639531555,21.93798315465488,20.82583661518388,18.629615278008753,17.479451391192814,15.243132093816783,13.660501630742477,14.448022477376567,12.190407423410127,9.7282834087145,8.8495629507068,11.105278797721468,13.332747578745092,14.728811800366424],[12.8789182186738,13.584812293103571,15.508059869377899,13.847933418837526,18.22599391214011,13.38465797599273,16.311215869491377,17.283264266652136,15.882421779178857,19.74766448526233,20.812064969714484,21.574563918746684,24.577173307040468,23.503524174097517,27.185980012437074,28.92036411305688,29.47174037978102,33.892201864780844,37.40327693075392,39.65887752201615,43.24884661543128,46.79331928767695,48.19816940351805,48.06455196087278,45.12772605978365,40.98809269308246,38.77152285139614,34.590832927299964,34.01986853341662,32.18969360430871,34.259744375346315,32.78014572924639,35.04459240911483,39.526862967695756,38.30160684315864,37.89112103559119,36.467618003755,39.007197890574965,39.520219380760196,45.02389698229559,43.454555601039054,43.66309275918599,47.85061239214582,48.18982938994664,50.67658138445851,50.16457203420887,54.17570001581128,52.30064353893515,48.161760527369225,52.98784867938723,54.62418435089429,53.36962306122706,55.37691567028449,50.07549017315806,53.081251307913774,56.547640887167475,53.48210348450655,51.44859447066555,55.89878217478465,57.349246666738026,53.09799749209849,52.845109923413524,49.99239067517901,52.56687005224299,50.96963891914699,46.84954379992113,44.1305828628771,40.315481137172966,38.260518312855616,34.823867009337896,34.785295401136246,36.707005242132205,37.75343445458487,41.90871849417631,40.29287964045591,46.1385685404245,45.58614497058584,47.227651544829435,46.7636672629214,48.483500161981645,45.94571042537947,46.34851620180903,43.16678774677634,44.649282715128415,42.365256207784235,40.45880827081495,42.71954742307727,41.753909731005926,42.26006910615946,43.53107061474479,41.4593189698252,43.70976690525617,39.74649641850271,36.85871375856238,32.460884194462174,31.759857901025594,27.896040395007507,29.743247284865348,26.7886819298799,26.222651202552743,30.445695996689608,29.091626151773117,32.87398311830403,30.962393155637812,35.59867117903696,31.218352558780598,33.514910528579165,33.56212222822972,29.33054509662984,28.26050296060538,23.90850118758669,25.543031178283627,21.843694817124582,24.623663061486155,24.896401888112692,26.8242720366768,30.03582534902082,32.4580722617339,35.66763051944199,32.42118348432841,30.033556750250693,26.624193123834047,26.122324753847533,23.508058404933237,20.362970403681388,23.54416749010213,20.69587378388326,24.834319982768672,27.11189042956643,31.58597741793078,31.870759252818974,35.325120882885784,37.59732999312637,37.318912430838395,35.03417323706406,31.539350838705165,30.90339770206398,29.947072871820136,29.362048011866577,31.486285622770264,34.32516138835662,38.71949708435662,36.863068559491936,34.109392183484815,36.47022694549665,33.58075905225997,30.928075124495223,28.451071872458336,27.130842733352537,22.982363121276936,22.603997215985125,19.894150756107905,22.856358789797767,19.559373072882984,21.882851700424954,24.608793481885115,24.6112691136179,25.86236262354426,28.15341703806774,29.01767388987259,31.22138866772383,34.04424665861007,34.5789260652887,38.27148404788344,39.30130430122484,38.897716261716894,40.30510618098367,42.87102177179343,40.00515837257414,36.881813839020346,36.163240824451954,34.36287771056287,36.29869387879321,36.74066715759644,36.680976263754495,36.0960890194375,34.28877470319867,38.67787395909136,40.003179637062864,40.413523873165325,41.186026396753356,35.991637164224905,40.855742320733924,43.78417499107824,41.71038931431578,44.93430300370538,43.969438366555565,49.06750105923234,48.22813034349795,48.83191358806311,49.23004022081499,45.504855178522156,44.91152503827464,42.0892822698481,41.58035942320238,41.0164691713149,36.68709401752367,36.13169456249444,32.76516901052305,30.31498901966267,32.31061820847118,29.944381386273978,26.647486859129792,27.73953429607031,29.229844619061268,24.710934805452347,23.155296259226503,26.07793345074892,26.395796747785916,20.545717057316292,21.674204929342103,23.820374391307592,20.173051135218678,17.96305108697907,21.86102626561028,22.726715207319177,26.917207625645617,28.792286047896084,28.800231264534467,31.18682968997876,36.17219636956648,38.81755435124553,41.392829720631156,41.596176862406324,40.85942720263141,43.242884751414,40.915769641009696,45.33089622094348,44.32751961409375,38.65865317032676,41.55450934732363,45.20446681508515,41.37861716670948,39.431043321796096,43.00201588757383,43.37437968635316,39.01947742925251,38.73401708243193,34.727482379869265,36.79213041225548,39.13144837663144,37.19268485499201,38.55338262237415,39.82540106637592,37.21008210971377,34.51936555973357,35.09520466840199,34.49479342258043,30.342236236664565,29.795738852055102,30.45212093154216,27.827103544985626,25.6490343508668,29.924317218600756,29.06856815788885,24.31962028987873,26.75763662832878,30.680578518781708,30.631302249961664,33.89099982270212,33.66861598283925,37.61311825366537,35.64159672080801,30.84591294210656,35.03787746020496,36.471951664761775,33.26236272263155,32.911306175238096,38.664715772079205,37.168541485084205,32.51004393431738,35.681511884315455,39.92753486546152,37.38158286297818,34.095736385099066,29.47235775559919,33.01212308916654,28.797254527388667,28.882443260780384,23.680858015255822,23.54105514626927,18.79895413679472,18.85259016263739,21.256469057845845,24.755843608506723,24.82686969113059,26.72236709004179,23.62195426912736,27.24497019231203,24.423305132074205,21.340058477468613,20.749858670569715,20.154350447178633,18.19279047799518,16.07893205757325,14.422048147749784,13.580797265405165,13.17157280423241,10.502183670846577,9.518590916364236,9.59185779090191,11.334625157044147,14.023380043219358,15.92087256961252],[15.68719867548855,16.666190841898107,18.923477266432247,16.724897976392317,21.431885036297448,16.70510784066008,19.33457098283185,20.385963175633243,18.352759755296976,21.825834434602122,22.511098176739804,23.535042922574778,26.703103904183322,25.08815981016028,28.663293990411084,30.734969327459975,31.326707758334265,35.53846424364646,38.8696121636436,41.44839856562119,44.85712542999865,48.60356951567076,49.80028322677423,49.673030825195404,46.95590840377116,42.690116054633066,40.76746650567409,36.5850430713679,36.03489801509983,34.37702843901323,35.862634187182266,34.863963327244804,36.88526200828059,41.28513243192852,40.333093267787554,39.88303172978043,38.827285878435504,41.28398266354388,41.91208048623659,47.613493296250795,45.82699363341417,45.75813563354564,50.01545508436583,50.50059997855556,52.89522152276724,52.490589171420574,56.5279188979025,54.69966828946999,50.70269900132222,55.64977864014131,57.29862058397961,56.13736718099074,58.06839251723954,52.70841385798169,55.7209554223853,59.03615044897372,55.82903340232016,53.76251031511384,58.188322013999056,59.54946226350079,55.124562450835604,54.67368954772222,51.72620620119847,54.1114591049475,52.69987150507065,48.66115899317588,45.5583180896109,41.783005077676535,39.40758158136211,35.881393649797076,35.63666209144658,37.19963976238785,38.51830807057089,42.83116251623125,41.51608734086806,47.35720665286545,47.19056957032204,48.86185485669327,48.67391992449735,50.58600648357933,48.31399833142079,48.91107047289978,45.92749999763946,47.55149278897451,45.14274169325427,43.094553801917485,45.05942088639838,44.12133848397591,44.25963768468143,45.39873109835595,43.04602115169551,44.971313608081125,40.97845004633159,38.203552599316424,33.887079691680626,32.8202634789989,29.047605266045462,31.43827925834251,28.76441026808917,28.440101070285294,32.84605515905378,31.9861321463986,35.69713545789022,34.16633110304421,38.94131910903005,34.65663370038364,37.113111920467226,37.179117836055056,32.97086727195043,31.865859572279756,27.473638804934577,28.82051670685416,24.900848776246942,27.403908506118782,27.198407504613108,28.96808273440954,31.963062682234177,34.21946982424398,37.123505359935166,33.95649078515275,31.401036622427082,28.155813140706446,27.75295894821612,25.49438126012895,22.711486013770624,26.273463441431968,23.969873452880417,28.086019121681147,30.539790251353597,35.03616137008976,35.296249898767016,38.87661961723558,41.00434819183948,40.77282788360343,38.30062290966799,34.66909218821535,33.98757159906707,32.70839720750272,31.785455636682833,33.99009598248385,36.38780206520146,40.77274415340221,38.90442844570396,36.36007381520104,38.83596335585693,35.94240750960919,33.35121859005467,31.04090811114048,30.031845426683578,25.85562284974962,25.82640001528957,22.838278131411755,25.917614806608587,22.221332152685726,24.258286023551044,27.279229727317766,27.24880609994145,28.88662984328726,30.90357138353743,32.16868781157209,34.211104522864154,36.744000230060166,37.229447475845326,40.99070365781992,42.14723831431258,41.562704948077865,43.23356187979039,45.678372333173705,42.89997177711721,39.64697105222031,39.12119214989489,37.22048086330749,39.30360870152065,39.7776047494877,39.66366472745321,39.16845761605827,37.0921251571112,41.6172920458634,42.94496838346354,43.53499080242345,44.28618277753568,39.2701722638645,44.19539180092753,47.09596408683339,44.89898340183867,47.928194708230855,46.73862132933779,51.905215547329036,50.857587990136544,51.713996684920275,52.184131102440084,48.53964615800959,48.07542505945481,45.32962471536532,44.91624962785955,44.39866511302187,40.000856119511134,39.61397872543999,36.25416255613311,33.92985700760478,35.966129369506454,33.68350056322255,30.349126372981008,31.326600046872414,32.87851689462749,28.410788072013748,26.637154519858708,29.54622894822216,29.959318208740285,24.07461037974403,24.971567661842194,27.04582122001961,23.47578617344272,21.026217328953614,24.663595695718374,25.634340054557818,29.7843885594555,31.601800123572694,31.92585616608602,34.29700841234863,39.34514193324584,41.83897651155422,44.58275161239623,44.98312205889143,44.36334680222497,46.835910027982855,44.59877408848185,48.989730198096275,47.88322892558592,42.245731441279105,45.20460590776577,48.75612897981672,44.8474773018986,42.96042662359145,46.52540175068708,46.730755022833634,42.33208041778318,42.12305023190667,38.21961757043147,40.43341214867489,42.812528100565345,40.91474400738849,42.313049436783494,43.568589894479544,40.96129113355645,38.28208546324981,38.81768472475252,38.20056913310067,34.09222853719934,33.513699371339214,34.07528353406839,31.420523553586513,29.27300761436809,33.42898531223366,32.45079617935445,27.673994323678745,30.06814919797876,33.9390068961874,33.97951431662594,37.36010053358798,37.284689003296435,41.18674665055313,39.049237536404576,34.33612409187755,38.60582872893193,39.87603450284779,36.595277683308225,36.35423295440769,42.04514477503093,40.32861755888838,35.688790085706174,38.96296036169526,43.08408134799701,40.32412436142766,37.0236001188794,32.37051788504691,35.59017712879878,31.221842458132798,31.420808986918303,26.295542238401058,26.6029206061085,22.027662492587687,21.608544780602166,24.103671264502495,27.440735298617568,27.724628896021517,29.94654109032106,27.011518875217956,30.746536735069164,27.86024049628786,25.02503422540569,24.49424341322466,23.916845782306993,21.857724153716806,19.788600095906048,18.16268136802314,17.22834789413575,16.745008362294463,14.216132644780009,13.119457523952239,12.876386819017789,14.60816066872357,16.942557933274074,18.59602745801842],[18.49801754630016,18.77698599209006,20.090139012989543,17.041084794268574,21.0813180138833,16.06217196871892,17.76914445531945,18.818892843679365,15.85832521356182,18.694611679489505,19.02475030033524,20.504512352956397,23.544906052078876,21.39940814400253,24.897934657747708,27.243771607594685,27.80056945179276,31.789062360339905,34.98502591586107,37.79312273415404,41.04986925834175,44.94942709972049,46.00423102986368,45.962826216468024,43.40846460476485,39.051406830531484,37.38182356344227,33.201893702521225,32.620385064161695,31.18464187076476,32.175530311622474,31.722402334543574,33.65922000980797,37.870641799333626,37.05986384607396,36.45910185362883,35.83340199084854,38.109188980379265,38.890373623147866,44.81065843922739,42.83838032164411,42.39883735710096,46.69492965426329,47.37747136619723,49.73008581377685,49.54534775477556,53.57062176863793,51.69642858827942,47.93842966833961,53.082974474948706,54.637723414586134,53.574455613147805,55.34928806930499,49.9241906499512,52.92728606004928,56.031460551428125,52.66765676819372,50.57068862293525,54.961672805961136,56.21151322261707,51.62003441276637,51.001495278140624,48.0078114653992,50.204140512052035,48.936815208148865,44.982983335047365,41.58810750047098,37.861643941841336,35.27957696606718,31.71734057654618,31.35827329234857,32.756669854718176,34.19958906408736,38.565594743911895,37.46542309095731,43.32949090806739,43.39487218838469,45.17418120439689,45.1751365197166,47.21944597686771,45.27198909328724,46.05631145012728,43.40812323676377,45.1964828712145,42.609266830293656,40.365183252762044,41.93870610575966,41.115544409292355,40.811371836009776,41.9619048627147,39.33622054063921,41.07709885745606,37.114736577023834,34.52401563657877,30.210929024589007,29.01045564535286,25.212930762938242,28.169513784969805,25.820312318687957,26.21308236209958,30.32093048113222,30.238874540654674,33.52134569757183,32.659381665698696,37.56376131782463,33.54236361112544,36.50073963238713,36.69788695352439,32.71170698429359,31.331619697676473,26.893507623004496,27.436485481098593,23.129352034314024,25.224866886777175,24.28377963269697,26.002641597963045,28.635460324267317,30.89734720833734,33.37259135535045,30.178537137216253,27.581426760584677,24.483956435763673,24.43072106046116,22.52086333536333,20.175723627101256,24.34100841360027,23.00989232722254,26.92323782892792,29.76473308727036,34.08692970812304,34.72529355347589,38.491834727396494,40.19517451820961,39.779432644731465,37.115493380828816,33.194406908143726,32.946329800027605,30.98596171929514,29.650120012038784,31.617784307402427,33.6572563584732,37.856029267410165,35.7753839017381,33.455422533035716,35.93016206760823,32.95294631868903,30.512541212591064,28.37366847966037,27.843309220367075,23.70261291607214,24.394153654996888,21.202037871736607,24.856990229072583,21.36630991784927,22.515874315031137,25.46487427695954,25.001251615973867,27.154700512911635,28.555128582933204,30.41674130700848,32.15805005950632,34.16456471386199,34.73232647374095,38.465048918658866,39.963910115043646,39.40894051391505,41.499089352743795,43.9800446657652,41.53692481063134,38.025157261463086,37.61048455935312,35.34826999329451,37.39204414561789,37.77956451884117,37.50441314639989,37.18724302826357,34.69463958761671,39.475148743317156,40.69311058857447,41.610436481619175,42.32819846073285,37.71823275222749,42.80869472684795,45.69687975215499,43.286504349496774,45.851782747859176,44.27607971224263,49.58094748578951,48.40223007704061,49.6378454725611,50.37352143870683,46.781978955524934,46.736401089727444,44.2333987419983,44.12552690213541,43.99323483677333,39.606843508380585,39.58320194043752,36.59993345871237,34.15038245640232,36.78633891674359,34.44699823319525,30.913811393107576,32.42203063535733,34.320258092434486,29.778255711390607,28.089326139761443,31.462549267503427,32.01728433747516,26.165007356130562,27.40868388065013,29.805137611879406,26.190783943913214,23.916523665703824,27.87796587522869,28.48539131604836,32.95293200646337,34.26985068195365,34.40256274850129,37.03863709523065,41.92627438199075,44.73975734371152,47.157459802920975,47.31784719068537,46.33946562754919,48.57496380389063,45.96718546019884,50.29741731881959,49.486370453088625,43.606043074083544,46.23057499987743,49.90850381758367,46.0971414566892,43.868304271907384,47.15021186350195,47.676292829029876,43.34685289132715,42.46842748488674,38.973848557168104,40.756909902598075,43.39458287647551,41.87513744493981,43.03095640446461,44.58819031424539,41.55965621177582,38.982112093025385,40.10960397961021,39.26414684283617,34.93952755273762,34.91072563768156,35.73912869131306,33.0517516354828,31.110171787594513,35.61214793181411,34.76915948929147,30.09489075078227,32.7357829644327,36.67924493513317,36.56944299968644,39.667240853362465,39.14084935475797,43.12774692736835,41.427064463240875,36.42681339335738,40.35995457753497,41.981847006419585,38.79570285067159,38.00525755384291,43.85521153287163,42.48852472675588,37.54918215343683,40.408412533899444,44.855529472637095,42.33335133652145,38.82348832688223,34.117706100372196,37.50089681162767,33.15468133900928,33.87910554855587,28.579993183746005,28.668338109209778,24.037643337236446,23.63215895041487,25.664359905007295,28.891862090252502,28.673386809550326,30.95828489302494,27.479352274923954,30.964816656455636,27.552607503362086,25.70875332059866,24.899040373284933,24.956031317489852,22.30254476885481,20.045051601793045,19.605253062026993,18.39983565094153,16.542379017231486,15.258259645809373,15.215557773792094,14.303548195769944,15.043524927147454,17.048785541648215,18.958386098779297],[16.470945029740758,16.28950545411652,17.186405974590908,13.890345592852135,17.821228749747174,12.960010718997394,14.761774863977472,16.259141441353627,13.58040869214951,16.476926062888975,17.369094457775322,19.052078930163155,21.553036799956917,19.574867377363294,23.48153854013733,25.609684445183646,25.810175371252658,30.005237210100898,33.14224360372333,35.81189024901737,39.14006588652676,42.910745637250635,44.023646249665724,43.842614286851614,41.174101364354286,36.88727767174454,35.05716024055061,30.906788125321388,30.542781353037537,29.195328503595803,30.792716003406323,30.136391833632217,32.45407682803979,36.64344690919055,35.47788693519517,34.68005525001627,33.85926647696506,35.905957301146074,36.47204789389611,42.299802570981605,40.27854903503086,40.12880894216723,44.44390773831473,44.93408032044416,47.24403779071415,46.89656953610931,50.94546030036444,49.16170899873716,45.25492547123607,50.29826993143843,51.97650473239841,50.93134743578014,52.84787235188809,47.4564572673265,50.594703979190946,53.74475913111227,50.39394971916875,48.45479682406959,52.91895471851001,54.089334612306956,49.61163309022832,49.26077789374152,46.42214083138982,48.621427572047814,47.11707786621943,43.153353255792716,39.954415444705575,36.296824499514194,33.80310627629589,30.443783835806983,30.09728199508155,31.83093780521947,33.23658127236278,37.417931541399405,36.24789499939062,42.23827165833552,41.92824805908111,43.8703519708972,43.58809290387322,45.39678636389241,43.32006021429798,43.83180048350476,41.17183139643698,42.70539210282724,40.059890501449885,38.03594113268272,39.789152966298914,39.18298761126167,39.02296127981632,40.53924368098582,38.042532719175064,40.11560571346802,36.215531277279425,33.64601631913664,29.161892130049747,28.368651744210556,24.351453069145848,27.096820101391415,24.55705676446215,25.113433499190837,28.761060430485536,28.394735964704786,31.47755060293456,30.3448888732573,34.97705236878919,30.819152386621013,33.75676419430472,33.75904227044249,29.736223258230872,28.540509444697552,23.997226850714085,24.51029681045058,20.271008632596057,22.303435919520602,21.70006223779885,23.322525067459146,26.22058198074698,28.423426467303443,31.27852629687583,28.196395665981296,25.574037602685852,22.34956093180547,21.943404739372486,19.80618505948923,17.267720229674204,21.2281692466122,19.84602128359447,23.786115165695588,26.641229398137664,31.058747271068565,31.52641099972728,35.36361856747912,37.01979545824061,36.75039102465352,33.95501774390007,30.063112615610024,29.67826982134024,27.805528462665755,26.571072135381765,28.639403339233912,30.82728554023732,35.123950039226,33.18297642893656,30.74725593437792,33.28498299640541,30.464670718161294,27.88312400263586,25.828436825498542,25.20459541795611,21.17533467628685,21.91800344101066,19.186924570872776,23.099392436410824,20.268058377091172,21.423437681959545,23.917145050377787,23.149697611714753,24.99057240844171,26.37246555941916,27.825662245682036,29.354811143437765,31.59756799889012,31.90904891717908,35.74633577947061,37.020725361021285,36.36426048021603,38.35768333960533,40.805297436682125,38.29590657467684,34.82549225911568,34.4084170104589,32.24014363265188,34.39650488791389,34.92310311740923,34.83471637767071,34.661714057250606,32.382377516880965,37.23153570899893,38.21385831782554,39.05470048416969,39.5463690088923,34.88351990320632,39.85549557218574,42.677990254729266,40.25651830040091,42.95466566394053,41.50610538835535,46.72404947045537,45.50412058432939,46.6299188247625,47.26921895183029,43.695862867360304,43.55272887406052,41.0190779381462,40.89535843400695,40.74062367469393,36.335507750485945,36.37417853850636,33.426184753304604,31.057996743855327,33.81110831995036,31.60913039081434,27.97080042530502,29.476488680302857,31.580718172419235,27.1094655421644,25.237856376766963,28.81823580341467,29.655260595121522,23.765243973483777,25.05014441117975,27.70136305070278,24.254049376169515,21.880344188349696,25.98891752488573,26.286114953936416,30.997626478608417,31.88581054895886,31.936294674307938,34.75613840321063,39.52404712925384,42.53602077332005,44.74526396588089,44.87619529472175,43.732070005310774,45.92569492328006,43.246170876568044,47.487894373259586,46.692746826423836,40.73331366025539,43.29280494230641,46.92184707601409,43.10407610106134,40.805781241605,44.02081029313982,44.56267255225112,40.24861800392777,39.253688779569146,35.86568966372745,37.6809475187235,40.391575932940604,39.042925933921225,40.28158229961027,42.05115227884778,38.996003401922444,36.25372875433701,37.628478377521205,36.944053020416284,32.465436186118886,32.449197437434044,33.599781209522476,31.035202103010345,28.922864578120066,33.55238171551682,32.995319211170724,28.379944104300407,30.850188577122772,34.83774367286847,34.475775717474384,37.446411884741124,36.71468000983881,40.64348079974785,39.08351496044114,33.91738602004916,37.68641673100771,39.37452869177765,36.21308655718345,35.1769325641508,41.058058916554806,39.80680188253444,34.74531335381335,37.44388696319842,41.989692240744866,39.57496232946423,35.993416223837485,31.289231927881772,34.78422569659101,30.50531393000177,31.418156972862633,26.060809311645535,26.0027407003456,21.415990566069045,21.02579373673899,22.828287803681373,26.02556812258124,25.614071006578392,27.88564900324833,24.318708684782376,27.798578104164566,24.35553295924822,22.789590604290343,22.15863643843314,22.48096865287529,20.058255607637946,17.306522779755355,17.22447243870125,16.455772624334998,14.02769969806055,12.635006830328622,13.43915209697438,13.071503785299559,13.554273408834234,15.90254797757778,18.144782193041824],[19.510315178247996,18.814869828209638,19.02131270922843,14.824230104931967,18.146105943377947,13.752827695079937,14.523313868926591,16.450591944555537,12.99589489666625,14.70659460411494,15.507419205436177,18.036156109119652,19.832924119492624,17.05529172475643,21.167572212416392,23.573341450044488,23.345656071390618,27.293212636385327,30.00806450825507,33.01878419391008,36.08583161723713,40.010252789371364,40.85639572072,40.5934711575088,38.167112209964095,33.79234623844774,32.30847692263468,28.248772937295396,28.144357109049082,27.290768211738325,28.558544068347302,28.615872501575613,31.01290475327728,34.87929518513273,33.7092856752565,32.535706990017,32.21754534669524,33.7453831697446,34.296970660131684,40.31973310007542,37.90555990028933,37.51155346495486,41.91130364197173,42.48737857306298,44.60897795445494,44.36244850475472,48.430869552700315,46.765834769372205,43.04784661212022,48.212560913409874,49.95325004916645,49.09555413301383,50.96166304746708,45.53859387726566,48.80133155332484,51.67526097077067,48.10229258572381,46.29216689085383,50.7609351766373,51.66429655333575,47.03873166596228,46.661722403629334,43.8848102862337,45.73761613652847,44.2739773564107,40.4735316544139,36.89803397435279,33.43422899281139,30.5553553030687,27.35272360108151,26.696760864719657,28.291692681717127,30.046193650919022,34.18245702931973,33.43578385641658,39.53731659713014,39.372185197220816,41.599854621449644,41.42103200053566,43.240934249852074,41.55106174629079,42.09056949089437,39.89020377000674,41.38576164343675,38.45309066183685,36.41070553704675,37.747544192100385,37.50870482960518,36.80108052911352,38.5948452825472,35.775515360288935,37.73459382578096,33.943781512621655,31.699801080954654,27.18036855131319,26.395213897724624,22.283314852011074,25.746384965943175,23.606812862016593,25.102944462811614,28.092363206465723,28.46064748367124,30.879398356577155,30.322727158455454,34.79664902473982,30.852495591450026,34.20081824695532,34.118243690228965,30.31500993060872,29.11057443493807,24.533271477809162,24.170400464343356,19.68459204489746,20.955322387352492,19.651668840877484,20.883143496752414,23.476884976765323,25.38861994548787,27.96544614739834,25.122445910716923,22.281813431641513,19.28464982944303,18.878715877142533,17.25621692657348,15.416338175971866,19.857393480874148,19.76947136492088,23.393065721779458,26.609047308441355,30.906333232374518,31.441913710464814,35.51980169749013,36.67228420352971,36.463079826545645,33.27110116142867,29.145305024752037,28.914830576485546,26.345415826226883,24.5818886500652,26.60461877192719,28.17394216939733,32.35850697046319,30.407997622225203,28.27714125712015,30.964056598158127,28.298369539477335,25.79381535797801,24.20178113510108,24.184161528618834,20.438204001258793,22.067802822605845,19.559770220850922,24.042616582199056,21.76924031958989,22.05195629832233,24.18598072586857,22.775994720137724,24.952017762888318,25.5526563261253,27.349002225612033,28.22859314596589,29.99127249435769,30.027045272441885,33.96312175568678,35.36635023384401,34.45807539808709,36.90062415588619,39.20048271556751,36.99137188484767,33.292291316682345,33.144693668904736,30.73836647106022,33.0865149783562,33.7171043729619,33.657258618561244,33.86127020311989,31.28593409924328,36.4484971235411,37.081614720609345,38.241240976679165,38.441437489276595,34.26090541556878,39.212181249899295,41.89757078317399,39.22244627670001,41.4980107836964,39.69303685214147,44.94033807540408,43.38891986084032,44.91757094661924,45.71913656169159,42.31153470300758,42.503484854478,40.21837259404899,40.39130278550977,40.53750086932219,36.1224266375996,36.6263069782303,34.03078523807253,31.80182561170852,35.05176878162165,33.04277313702692,29.22279887289264,30.948833097330578,33.468098711034116,29.13112721515851,27.036483518319145,30.99675740087288,32.2141057415418,26.387971450194897,27.723143166800856,30.675212664272518,27.429439255843306,24.96167830864898,29.13461697157746,29.04583581217237,34.05451267857932,34.23639888887506,34.3215288105899,37.41831479320768,41.98765101991072,45.24409297914335,47.17069809005261,47.2679698923084,45.839184870294986,47.89311844974975,44.995013724188354,49.061865533425305,48.40273293213326,42.28500749486968,44.58579351693322,48.143805193220636,44.35366471500766,41.830172812552426,44.748648008806576,45.38611138398545,41.145731747126746,39.64724080911356,36.775942663189525,38.42187820671437,41.3774224721474,40.4923028380522,41.66309629393767,43.79781376751867,40.48073013007867,37.69403857468361,39.63077162985459,38.944118077570806,34.280475253550314,34.59477779287478,36.108932021233485,33.63997852633881,31.551807477049877,36.35706853582918,36.04066446420219,31.555714250600015,33.97329057329812,37.974048295007634,37.37599954266798,40.128882740885274,39.052006978325174,42.915518275952714,41.64492539708161,36.26463522823296,39.69268476937165,41.52601599715103,38.42482536855649,36.91260756652244,42.81350075408091,41.740378254014814,36.44585839673332,38.76726395917555,43.47468465665596,41.178175060251284,37.425551681748885,32.740763487828374,36.1456827312582,31.90302394428535,33.38596638227084,28.020205593739675,28.019791988273706,23.671688005826702,22.98819361312912,24.313059630921543,27.19789231912669,26.44922378324036,28.943643196716888,25.160112381701875,28.45245212536036,24.663911906257827,24.271340564124273,23.693076739732533,24.631653917639,22.078526496816085,18.94654390267745,19.838126105147943,19.244887845514413,15.728163487398872,15.118469786793824,16.853023504395733,16.43103055364264,16.263750778757846,18.33493956613951,20.706373973876936],[20.43990907924223,19.37304858373043,19.337453135372684,14.35575254642549,17.671409623825962,14.401942238853623,14.900721849437447,17.681489120264732,14.39691411833914,15.206893031550717,16.490416288952567,19.660377772297725,20.396012434336242,17.173579320040435,21.71880906601068,24.11017121787828,23.110093115156452,26.937664746573866,29.023542201041913,32.257560726613896,35.05551677861073,38.97965088929167,39.54337289728497,38.956498521633605,36.73214354747169,32.37604481105097,31.132454116237447,27.28537361626085,27.770978258170615,27.499996952063984,29.027363244612854,29.492114057916424,32.20400296468336,35.76094754867487,34.31884449214152,32.66421296972005,32.5738987305044,33.37057233605629,33.60973238033267,39.62986670358391,36.74650679967513,36.52840827971288,41.016584010693464,41.39944646662484,43.20690744001965,42.777454871616754,46.89710184060117,45.55829168895791,41.812061346554415,46.88018091545495,48.91194044450055,48.26040095122931,50.29183668737043,44.924375063786,48.45962255475622,51.1317798146956,47.38572359799687,45.904910022036354,50.43446895538885,50.983441704425644,46.36842472602267,46.254367616338016,43.70776919141437,45.183255925144735,43.53549254643159,39.9366123913754,36.16470599576853,33.03660316656093,29.80929094558013,27.043395623549998,26.001778947026,27.622391299589037,29.802324599356385,33.68873348629342,33.39204245638142,39.6333654705979,39.32047081381518,41.92957276943569,41.60829502391498,43.20120824452589,41.722421288305995,41.976086551895875,40.13345321974065,41.264696959247786,38.053312389573314,36.31773216389093,37.504529045993415,37.81546440815921,36.796703722723436,39.13833412849029,36.17736953504326,38.24874580531054,34.64305981077731,32.71991124952522,28.140529043709275,27.62682080371274,23.413322880386502,27.19181485477585,25.228069229540907,27.297034891040273,29.552829914402405,30.042094479260232,31.886188291584688,31.339431547661448,35.317987705617085,31.329800629687476,34.74709696182006,34.27726679727265,30.516326953916014,29.70577774129991,25.035950197287676,24.251467606100505,19.88642457761597,20.403855394732375,19.105444993797814,19.62323565148241,22.280823983095676,23.567541791794074,26.374558832514573,24.120355879835998,20.96856492618373,18.210799039846112,17.062582832329497,15.822012507357183,14.539168148141927,18.785278040876022,19.557336256408757,22.975112382538132,26.330066295734003,30.730861502432543,30.80430284006484,35.128848847977125,35.93418469817413,36.14228717404596,32.42561513627901,28.272392807420946,27.628727565495147,24.774576743131515,22.65312143365046,25.016300443208234,25.975260895207896,30.269556246969163,28.705296571764332,26.79029049337973,29.775020059509966,27.593298432803422,24.973360599982588,24.00320200807858,24.322120194356113,21.039390741563217,23.15654872944728,21.341276532799327,26.123809459477748,24.542122040012348,24.575967691082102,26.19849184042905,24.266907647910003,26.241491133884722,26.382234871175214,27.831947981819393,27.93427091893974,29.668851298552205,28.988747919580085,33.18173443886514,34.245733687360186,32.767085967236234,35.417658985346606,37.36992679472938,35.20822896525626,31.449649027403698,31.66002440526026,29.369727992447377,32.189097818336535,33.186374300482264,33.4669054885081,34.1336700295002,31.675123395327198,37.05111311104692,37.15723181535831,38.41107928487868,38.06829393305145,34.1628719903241,38.82603185470654,41.264660305804604,38.409674879474025,40.609549503373756,38.736988621480926,43.80881299744064,41.80740701799141,43.512791089692776,44.207778803238234,41.039497880146385,41.22859947827541,39.0444200416149,39.33815061962681,39.5014721749624,35.00890695891694,35.90657345660685,33.43561040805262,31.63533955379042,35.07818382159947,33.50933626834026,29.529726935778683,30.995659536175765,33.934987487548305,29.883310310467095,27.185052629381612,31.40676946753268,33.245663729789904,27.38400663761618,28.45912584461127,31.719550123641874,28.88367542913512,25.994592381892765,30.057808187800482,29.554337842374693,34.88826077304624,34.2008908031206,34.5452932225579,37.93070512175138,42.32101708862297,45.73253029953895,47.4728076408697,47.78472700363693,46.20900589840563,48.29964242704735,45.42166109266377,49.244872719086864,48.46537970506472,42.29346536758981,44.54347934059355,47.81686362920013,43.92278904398657,41.38300758281532,44.12342884673328,44.522992186372335,40.29836288220488,38.700151908318354,36.25399149251902,38.188602688340296,41.301609836461004,40.81881592457505,42.21181766234338,44.70314755986419,41.409942380431985,38.34064026460229,40.636374250574825,40.26325161668273,35.440922480246655,35.676525890956945,37.62748226092823,35.367300551165854,33.00457344891389,37.823814579861896,37.86165545571317,33.454358440708795,35.48981223357753,39.48505720394256,38.55063479983315,41.22214265031176,39.98460282462183,43.64519880135212,42.411176132332656,36.88169261619665,40.08122464952123,41.78713796219366,38.66291363898111,36.855571605920055,42.65890814592513,41.51104149625504,36.063971727083015,38.17907039260653,42.84865655633376,40.48816197504338,36.616083566553215,31.9742012958715,35.08372128654365,30.845101621327245,32.85180855243083,27.58399119208099,27.900098745064124,23.972762493886734,22.729797037287252,23.687639918173147,26.174314005435964,25.36826109415858,28.253906533760023,24.69718186088884,28.048479241364767,24.28305245348237,24.739261231622276,24.650550490625776,25.96520180496691,23.886625243402797,20.11980887851534,21.358400691471026,21.436589465216116,17.473067356294322,16.543094868417644,19.037884913929652,19.26930487398429,19.035056647918235,21.267122271441313,23.750997394910687],[22.583442260486112,20.987733577930122,19.899566703325963,14.92447680439726,16.690371671054564,13.81778923603748,13.046415987844327,15.883440838654709,12.359796169096747,11.911676059118099,13.37449170716866,17.089238791970477,16.86920968348312,13.317575253527451,18.079476940371297,20.401794736148535,18.96012871840157,22.694771065355894,24.601264126961272,27.857420389553443,30.606740848330578,34.5200876904444,35.07008622696226,34.49330062975424,32.259070034207504,27.895043002908853,26.704608961939428,22.89963378641748,23.5407449613507,23.593647715289826,25.225744964839578,25.985399036657036,28.906142494907304,32.184527450119894,30.559021162732904,28.621654235184963,28.742422021680888,29.165771263598213,29.37539478243525,35.45705583874662,32.44521786882633,32.11736636960332,36.61963379618063,37.04236215209504,38.82680507206442,38.50096037233787,42.6089657891368,41.23725834099786,37.60828502084881,42.76865893313048,44.74589936732282,44.156890089291814,46.12564281777856,40.756848182491005,44.33190596078112,46.873661136801005,43.051510034368825,41.642202841161534,46.174197559413166,46.61169278818589,41.977750594052104,41.937173902837685,39.488125462329336,40.85831098278523,39.13177328927349,35.58499639330128,31.81410071823403,28.788901521771415,25.54452077623117,22.98481905205012,21.902402101449304,23.78315536443972,25.92785186699931,29.616735229600145,29.375239817188557,35.676015540630125,35.18214472847359,37.97789908004175,37.55225967465767,39.03798510304433,37.71769861225554,37.91846921072168,36.361404177209344,37.43874036461519,34.087386165884894,32.35817810989916,33.33617790388144,33.90816978696579,32.66482950213899,35.30126384925252,32.29525110257672,34.51577602485506,31.05750083675788,29.347736036586674,24.740863817583026,24.576390259570744,20.301191895516602,24.197301508810384,22.468548079145286,25.231653518437916,26.656101757765736,27.583366386184863,28.77927551764559,28.658387825093207,32.41736598394103,28.72841909065328,32.47302111721875,32.05185015768413,28.64403477671757,27.695648623460354,23.206367492835604,21.6002974310223,17.186967595729886,17.046196891895292,15.181981788733461,15.478021531565027,17.90459960880562,19.191244101032634,21.900450871299082,19.687736336127376,16.50318889136687,13.787908007500144,12.70291448680476,11.745005277118889,11.1137457968823,15.698486263971118,17.62793288763679,20.521455694832657,24.096483432040998,28.148664977684902,28.56269374776701,32.92134242190405,33.29703912378382,33.34616147867658,29.526722235143573,25.224714100831545,25.076777298288647,21.638796928723984,19.21867235447411,21.24204632604855,22.015454575110237,26.126213372809627,24.380671890038492,22.583804980447898,25.551004385080812,23.41829348178433,20.891581349855045,20.23034568299603,21.00495741296746,18.1151745940323,20.92472939334394,19.518810841349556,24.604457034845836,23.845355750844483,23.155122320493643,24.177296409836394,21.684778525835387,23.743487054238884,23.223931329900065,24.852943699015846,24.46948044459585,25.795692698692108,25.044704831832497,29.196008839705236,30.45798524307799,29.06028287001045,32.00030258088799,34.02801996417407,32.2047971971398,28.284295920780885,28.521225378850644,25.929655418847638,28.651614948714936,29.60264230501469,29.83611800000968,30.752395679029146,28.13540947435288,33.65926277132729,33.49435555475686,34.96198933861535,34.46676312728768,30.98319181242742,35.6379001541392,38.00584494087118,35.01294867179833,36.83375382093911,34.72144675807085,39.83797894263443,37.79248581253296,39.72309457953291,40.624427963668076,37.50131309319067,38.040400458064795,36.099685169773046,36.663630838655074,37.20139271259148,32.85537485771652,34.0499567683233,32.05901212033079,30.169499581633296,34.0892427697938,32.53415054300682,28.533664029771483,30.485744312843607,33.63261467243686,29.709288227518815,27.297662771970167,31.740656243998693,33.61642602962224,28.10668308195367,29.49792538206303,32.89555740215763,30.147750506860696,27.65062316762855,31.85109663367525,31.054554991062417,36.42614822176818,35.40954197583512,35.40706146254589,38.905873138659224,43.00205900001859,46.67992529175433,48.01744331255088,48.01414836460424,46.088984612204776,47.87672122487611,44.678602611789756,48.36140824710707,47.91857632140749,41.64093810830637,43.48279175520878,46.84699717941603,43.171907837456864,40.32585078192745,42.71789460569303,43.51772695804707,39.487611200112454,37.20135655526357,35.20677893433765,36.58928282819744,39.87051086217196,39.781755561248886,40.918303378215704,43.6826174563227,40.09031846862799,37.150203303898294,39.98934109140306,39.4820643664358,34.57794314216639,35.3010474500429,37.519497570958784,35.361992445642244,33.216284388944835,38.1910733636134,38.431051281698636,34.28841708459176,36.422317645496584,40.367475562304115,39.27946528220291,41.57300865819908,39.90014659702837,43.538025720277275,42.80223129945512,37.14452840579201,39.88607561044443,41.941069864780594,39.03057061743445,36.71357897866503,42.52344557016072,41.84941600717321,36.285682814057324,37.87479346112514,42.79803078353613,40.84868447296154,36.910140287148565,32.413286211807815,35.75330733678397,31.803044223047593,34.10163230465422,28.89275024237877,28.749516917100987,24.968849114536624,24.06730905409264,24.46298600777544,26.764610811193258,25.363112428081806,27.950418332371747,23.953295445422494,26.77523775317273,22.670606839844822,24.19395738742966,23.89828022109451,25.79410781545277,23.506603388027795,19.71102701125863,21.99582277194328,22.03135922632467,17.20851575436753,17.46686656070918,20.629256742746257,20.613338702095298,19.669552617798722,21.571076403825053,24.171074449688174],[25.173232866203268,23.40207019256903,22.266520421298907,16.821808851871104,18.499443779374715,16.99075360144916,16.08396268644576,19.456179097449596,16.290826630110555,14.985481282451701,16.622881867489664,20.698492212749564,19.46899608067126,15.547664898171515,20.320616942635887,22.595668257103203,20.29830311767817,23.557037732565238,24.430020092073878,28.018416874353424,30.245003304585094,34.15185918272309,34.22341296973106,33.21447986866249,31.39510597359072,27.106380137708108,26.424615966011636,23.07070836353123,24.49216353733212,25.354299503050363,27.010901265174482,28.39246115042385,31.485559991336732,34.28549926615394,32.47800070538425,30.000728072179708,30.533219783137763,29.99666398634007,29.842066361067445,35.83991771266443,32.19464589635694,31.986313638644965,36.5367568215598,36.75298894678029,38.0518781286606,37.53799371560363,41.663132540113665,40.75777445976929,37.217063303799556,42.22212136648925,44.548953606730784,44.2591271906732,46.37697976860382,41.14174873413458,45.004874016003114,47.19760532669846,43.15740059448884,42.17747680823914,46.70847991917952,46.6574491647253,42.0352762635848,42.26109173203103,40.11422703881347,40.902083646112004,39.03189521094273,35.84968324851272,31.754263947466708,29.279324012425512,25.54066811278208,23.65405631849348,22.00193199982025,23.698913257073556,26.452611250566182,29.745162948938876,30.22016405427006,36.54007804463884,36.006149197741316,39.23426383760671,38.737727370098156,39.98006582872365,39.04493224713756,38.9609211310393,37.94705467312001,38.61007458701079,34.9470633739761,33.58843057360515,34.23809554199083,35.48844317949162,33.756838822825806,36.95838433632353,33.754126219233974,35.944794798585264,32.789847177100626,31.551085787463094,27.06772112653894,27.091967936010228,22.940940851367387,27.174982845961114,25.78612612937553,29.050057213995245,29.77314719781516,30.92170904585354,31.46752311234325,31.465115141870456,34.61864020299433,31.013109017409906,34.77089139410904,33.940353783204124,30.680611284049313,30.17779855895278,25.744372911526323,23.700544614760897,19.658026053680846,18.547059678966985,16.652576516777582,15.831720961135842,18.010735371703927,18.184431567790195,20.94418429099648,19.760025438656147,16.23664896594461,14.247022600315601,12.151494507797153,12.228418084342481,12.773337841729042,16.656496355451065,19.663185201090734,22.10997651185219,25.710121646126048,29.722249037401717,29.586354536852298,34.14617706464215,34.04301389600722,34.59426869865976,30.189124893039686,25.957550662488533,25.313303388274743,21.49325847656538,18.52185666807969,20.90884542817451,20.510677889468525,24.61986540086869,23.467397281973657,22.167597323106822,25.473542699879985,24.086466794119907,21.57571086500968,21.83870130607483,23.085825955880473,20.895842727651242,24.101780289766065,23.33132491474035,28.49904094536702,28.207402312805606,27.331074158276603,27.967128669815914,25.089923746728445,26.95487852491231,25.914350059072625,27.206691610886445,25.881092798956708,26.994336332664222,25.331478499157665,29.690022805200158,30.537791020125365,28.358265176586954,31.628148583203114,33.112617875565384,31.461838461651112,27.49964235972106,28.281145053127958,25.868569997376735,29.14977514559714,30.537090966489714,31.157310569217447,32.62904665400773,30.142993201601254,35.79387417488804,35.01401198471877,36.62165303329369,35.47918906296077,32.49116644639,36.70384870610905,38.712879615877206,35.51379468430553,37.1077317140556,34.85651644491448,39.67745653637706,37.0006022781482,39.24530699398186,40.041354779249126,37.311339935080106,37.91001766504294,36.177548203162445,36.92743828246606,37.51367552185483,33.1569261196364,34.85936293010043,33.0796144730631,31.752986906650627,35.804614927078646,34.76972861845405,30.690836517968723,32.2865084320095,35.81652473437976,32.26434807254746,29.255856170668206,33.852084625874674,36.33000003587897,30.850878357669277,31.915185324197957,35.535826103792544,33.206432022394125,30.301649256280182,34.29301809921742,33.141128707211976,38.7473890728528,36.86153887604563,37.191293464213295,40.93531889890262,44.817591142398015,48.59216335860164,49.75518361152396,50.02105148271607,47.97878833391607,49.80659733428014,46.67815302733819,50.05147543323152,49.46318663901725,43.20092193935587,44.970486605319216,47.954796617310784,44.193134306175054,41.37326437184876,43.51257874996982,44.00084326126181,40.045668193979445,37.669829273935186,36.250824148800305,37.955885883237485,41.37143242482525,41.74064333230957,43.10832906441477,46.21514659719746,42.692823302384596,39.49880607617866,42.657482344604034,42.47440730395088,37.48699871090697,38.09755723354613,40.69219591949342,38.74606081476623,36.357257973610494,41.26609516671399,41.81221334359001,37.749373457985776,39.49996014178905,43.40529451413502,42.01897703837028,44.24463981048044,42.463124732211355,45.84728877347868,45.117969167971516,39.387475563884,41.87670927948953,43.73761257079308,40.823405115162736,38.247956249267574,43.85598830868245,43.068759626135034,37.421427954070055,38.766013877388865,43.55404348988397,41.52389726627775,37.50613487411523,33.146739404694166,36.017434748156404,32.137066950984796,34.99354907919245,30.0221227428974,30.29974083995021,27.068967078805244,25.55487509145506,25.58015297403686,27.32555404241364,25.939542599954912,28.941793420511083,25.37403040624857,28.17333451477991,24.246737945355314,26.635337915605852,26.84897057629745,29.003013236570162,27.196197722501655,22.988582905594185,25.37710731237042,25.945362604352283,21.040298616841582,20.884137242498063,24.393007844527123,24.851037228591487,24.00284544529403,26.005429894742974,28.618534332879435],[28.710957312749624,26.78441118834162,25.019648737738155,20.013143470735265,20.400823213514563,18.65336564141362,16.63560407935089,19.292938259303497,15.73448663920078,13.1052984673778,14.129753238124097,18.497894996447894,16.63295968464613,12.182620847666852,16.510779675014042,18.90912195502931,16.434230490620624,19.164508804255657,19.808273954642978,23.640721643403715,25.70122252908478,29.780172899170516,29.776735252343347,29.015027203678706,27.314201956384508,22.90911201460178,22.54402545439537,19.2360386745027,20.545736645663673,21.773216173360122,22.79148112686361,24.86151681233264,27.80155430588892,30.19860105211056,28.53488812197824,25.88948175903719,26.97607594952695,26.21082818001835,26.329484611054294,32.49254070277468,28.807240689952753,28.006089247647918,32.53100974553545,33.08486487667983,34.44669477163595,34.34082233351923,38.38930562541873,37.26442244275694,34.114603244601966,39.37314130867912,41.40044182929451,41.15537388191687,42.975866317995596,37.7086682188063,41.42296514560982,43.39040104908476,39.24501096608253,38.148273995617174,42.58498884507416,42.49983730309348,37.70756987333617,37.696671341506374,35.49282439125044,36.140836900931504,34.449943615554005,31.33856614612396,26.981253314092175,24.562756198687172,20.64418844812636,18.82411125513123,17.034839379613917,18.729633740826902,21.53057588368585,24.764279625429854,25.4281663759756,31.71636591523355,31.352736470848857,34.67015682531999,34.3505057154638,35.72159745674155,35.16554257497134,35.35063436305412,34.742722124020524,35.664389702450705,31.929753019098918,30.284584911415195,30.403186988926123,31.73727952327764,29.510097917244835,32.701141304546866,29.280256308427436,31.314193843790598,28.315016423517463,27.39081789792074,23.08660477657775,23.195656986947043,19.248889796205276,23.839019619021407,23.00639549352585,26.98457798830071,27.051831092744163,29.049695983932214,28.974523559704934,29.827081505507092,33.01460673908743,29.99502312972035,34.14484527242622,33.66554393603471,30.904343002231307,29.95845352022552,25.91616404485796,23.06025505393463,18.997941191034535,17.350481514858465,14.279498186737449,13.377002842929258,14.529946167911165,14.834376024230924,16.65510676881407,15.354129271915433,11.820311349809954,10.306916914351818,9.235639696788862,10.396080384110094,12.125562751062994,16.349630000473667,20.342155921820652,22.132176242556586,25.848759449991384,29.216131487043498,29.8323619076219,34.228021201012034,33.70881644494423,33.7745716080585,29.579723093175126,25.218039929446896,25.541536545945654,21.065544455522,17.80201357183508,19.292001852924816,18.520555756981928,22.01212849082253,20.283010634593253,19.36751602198262,22.424888081218736,20.855920782308853,18.786446548341424,19.323693091223745,21.250276276645646,19.457738181477378,23.288515549804227,22.484128209204528,27.69435015196168,27.794250545216862,26.079734642908246,26.379246767118026,23.15822452239356,25.426904514835556,23.605538217171492,25.610717113506766,24.03519346493583,24.23408932493479,22.958220544809258,26.977321912978013,28.463167283123003,26.7185064405876,30.412657754462558,32.11389408584443,31.048514844134225,26.92406380154442,27.61526777311875,24.68775927602231,27.4866813775749,28.53380825648242,28.790918942861424,30.358768894746333,27.420591843096677,33.118731633712905,32.29183399432086,34.26401179975763,33.26478405878126,30.915198676288203,35.25710686822597,37.27318143566381,33.97040233411918,34.85816487065865,32.12826399474008,37.113243418401794,34.53713156881589,37.196318593934606,38.42864704382706,35.71602300497157,36.921846511894245,35.5595036921418,36.654225082605144,37.7541786637211,33.68710704054843,35.560888853319234,34.322287876746906,32.6823695136195,37.123191584494364,35.856027202010225,31.898242546758244,34.14006421938859,37.61248289783024,34.04746113848449,31.679902912941134,36.30467626208986,38.442265916641794,33.323385998705476,34.797859424185205,38.350051546512056,35.84854109747897,33.48983725252215,37.650437826942664,36.50497476522842,41.96729390619304,40.27558539725494,40.192781109309564,43.87199873730309,47.58401178983691,51.495661158004545,52.39816290993337,52.24775109190255,49.947108376475285,51.42902562180134,47.95620086032771,51.29353250423966,51.14605766201805,44.836445952287015,46.16883431033653,49.38588928654556,45.94201397840138,42.81538046606748,44.62286807116613,45.674243242065366,41.9583318156096,38.879554375545204,37.79078765210942,38.682993176755126,42.18163769091581,42.77828230844615,43.69397513049474,46.871135050917935,42.99293372445331,40.17461186195497,43.70174103689166,43.14811747579766,38.21953513732892,39.420815088640474,41.98496468204776,40.00946723407066,38.0463189518674,43.07495231349857,43.57115084208493,39.717354009464174,41.80920002151317,45.662945879961626,44.353696001624435,46.26689299304204,44.15964557543114,47.62859144606024,47.37369911560695,41.630217389866985,43.787830744841976,46.05554867229518,43.36812495726682,40.47594082431103,46.106661225198486,45.81406609822237,40.16089403553409,41.0918002282441,46.114328832374994,44.505973033308855,40.50252864753769,36.27868761241796,39.44838991356226,35.81788536277779,38.67087850654915,33.70917860590774,33.48440649206557,30.158084082481672,29.177428593618504,28.969125341125476,30.73802289398455,28.895354246645965,31.411339077917805,27.351187289649957,29.511145472657407,25.263025221595367,28.27758576174906,27.966104833885296,30.44984911988122,28.11136571628833,24.37626114073543,27.482828238718408,27.56187983858084,22.218948279874304,23.294433493935973,26.838283391969313,26.651983657101614,25.23552022569854,26.717552461802576,29.268192708175008],[32.73133161284807,30.922208034431343,29.48952560962904,24.16517681312992,24.985991916618275,23.652397317511543,21.85104960878735,24.626980759055005,21.018895548688988,18.284741207391452,18.944477146115386,23.32040758615944,21.354366526403794,16.696408841709268,20.367140129006792,22.903901186858764,20.20259683741438,22.033274375464245,21.545170516858693,25.8303506588607,27.086279319845733,31.248584700168752,30.568615880204312,29.52387370609898,28.571639160848495,24.304582830859445,24.81405194560376,22.123063321164068,23.85709156477649,25.705121325887447,25.99664538307355,28.882534838839568,31.561583184987533,33.452392951688324,32.01783515481327,29.08596109174501,30.80252923320502,29.368706008497,29.39124371458823,35.428837964627625,31.229161293377516,30.153308144249067,34.58536075337786,35.17474002674623,36.01883583884094,35.95982419243391,39.8989798448522,39.184521040589715,36.42078924053011,41.550477273961974,43.747111641228116,43.82161306503566,45.586607179776216,40.496981663589175,44.29895674811161,45.78828594079213,41.427836203605594,40.62739316618936,44.9110355445541,44.35985886359191,39.48710137298012,39.426518165867364,37.40737497517986,37.332079600888434,35.82439150938928,33.22141215715698,28.274256127616518,26.491378955831856,21.944266028488585,20.720876233012415,18.25674803006094,19.083426899715484,22.696957073151523,25.614699653727715,27.2774034391477,33.32035963160362,33.40743978290301,36.99269544750507,36.94685789583161,38.31779587485,38.36476819519146,38.57242746824099,38.55550830171136,39.34454897782455,35.421575208747626,33.91253474898667,33.465752121236,35.229737934046796,32.331071189718465,35.65873581565047,31.895911243176194,33.46021650518646,30.78621302830761,30.39449215050831,26.465794883234977,26.328765641308756,22.787169157580998,27.875646341575603,27.50998595132492,31.76625462232242,31.656781545872946,34.06186626679652,33.65457602258714,34.81439693471032,37.75388864762818,34.90132046647346,39.06325622769827,38.41080442900823,35.74602854074362,35.00204537330339,30.999807802311217,27.99774514897309,24.1289104572947,22.094510083855756,18.936974414955248,17.428798148655446,17.893955105909573,17.12331883985882,18.08322844204383,17.897903802890934,14.393015801967223,14.072273788961684,12.879296984557612,14.909012278580054,17.1367589483191,20.88144680495657,25.237085870493416,26.85094967446327,30.527447055750578,33.82155585345397,34.11875670169751,38.59464263359359,37.74212905965128,38.103518099184015,33.59006095892347,29.34664071727873,29.355332577088483,24.68030033924593,21.062770222129036,22.652697445026128,20.606246425683313,23.65635120099692,22.429186244734698,22.276922074920176,25.403162859154897,24.41915292214397,22.641621194613677,23.796175137091073,26.061287649032206,24.597332878556667,28.547199258243918,27.76287030022707,32.95850127041866,32.910281757559595,31.076897261925005,31.453281751707088,28.18707510112004,30.559535209880046,28.43507826021242,30.502090960299448,28.451259432446513,28.242385828619586,26.49353607968365,30.434655682310954,31.756768672922206,29.456082835365983,33.47267164723802,34.64991594914126,33.87060355315484,29.781614059648593,30.943489071501517,28.168261138889445,31.251872568337628,32.5121568648041,32.91141384883479,34.79480719870052,31.79703396561579,37.48181453777686,36.3379315544123,38.498786833430174,37.15121726377524,35.3212393027722,39.3484740346477,41.081664940151406,37.643859864211954,38.138844807153745,35.15988006664339,39.848373828497486,36.71856029472791,39.812412077653384,41.05132946063112,38.761607589244555,40.130456728101166,39.0212864710599,40.285934467138304,41.438685688243446,37.41420711301241,39.63109770253462,38.50159021685237,37.2384094791877,41.68074300335437,40.70182096259764,36.707209371822074,38.6606472814786,42.31016619544546,38.89597227023034,36.12798786101312,40.796051517061095,43.24883397734954,38.00930505146072,39.22598028867001,42.866230749353946,40.509899452751114,37.795442583390724,41.81847517354859,40.585075705927096,46.191225331256305,44.07136285873993,44.33356996837959,48.13712768742288,51.815397058044546,55.70650221145524,56.62520503015256,56.733864575770255,54.44275225730426,56.009379055147654,52.631391731143566,55.79445036777005,55.50265185553342,49.229464338303956,50.57272628301151,53.50843132686599,49.9783473344966,46.9300280897456,48.585339093988395,49.34266148954654,45.67171674595858,42.64205132781081,41.9217652848099,43.08978344431487,46.6441709880341,47.47470076266169,48.5373506450849,51.85724408726331,48.03247280377007,45.09673852078818,48.71325282685925,48.30803405940876,43.354874861668726,44.43985766489399,47.11106548587903,45.17838962098494,43.07560754885801,48.06139983453857,48.6193700246438,44.69579846573026,46.62853910037854,50.4978634913667,49.093459622276654,51.08504546707088,49.02153702892115,52.36692465182132,51.99501610089964,46.23211396000484,48.358838626285106,50.42534757891012,47.674544434670864,44.748342669793665,50.23878207601752,49.73955195318623,44.06272084830758,44.953017248493715,49.79799373930002,48.01271073960642,43.9749232365602,39.820264419363006,42.52838278938362,38.86191769993475,42.039000361131116,37.22774076146673,37.460127057577274,34.39434001303198,32.90942229156117,32.66820503506051,34.1062506621813,32.47214013556507,35.362879904534225,31.691752200042295,33.94159142866834,29.867111311603644,33.12607737591271,33.07091999843152,35.543605347181625,33.35504270716703,29.485340835186435,32.384513666333355,32.60409879280448,27.38529034346115,28.038341107303914,31.49765079339684,31.43378255551972,30.22415925174352,31.756905317696763,34.254639962305696],[36.144008879174415,34.04358873669378,31.874817117603115,27.01238385551381,26.498633051233153,25.42322238119261,22.730695829151383,24.948928486022254,21.551026858010058,17.763666408288348,18.085298651562006,22.36287965216622,19.373161919077752,14.901178286001363,17.649928701500777,19.84601812599192,16.676686816055472,17.516466948380568,16.193789553675636,20.63521481558733,21.482865365895265,25.672277677290694,24.82393213395225,23.907069393865164,23.156612792731167,18.926710713870698,19.936212725000864,17.695563800710737,19.60836969005572,22.12073927400589,22.035143969077648,25.582946760664083,28.21737001977181,29.417694309693747,27.922154847573303,24.641435483482322,26.92917625428552,24.85031687156279,24.9581870013248,30.899769997173056,26.58648178946197,25.0164307110834,29.330681843447657,30.142578239560088,30.92023964792941,31.225254852054583,35.02979537183386,34.19820201140488,31.879177553739364,37.130491897010685,39.0747628790732,39.24614934120424,40.753541255505596,35.76150289824014,39.46168022029654,40.63332457601406,36.18918063934172,35.45579175950199,39.60374557647017,38.872309974659366,33.945702761875296,33.85615877493719,31.99009126111313,31.617321988377796,30.131846222376346,27.751118620992777,22.64892790583023,21.25245039233838,16.54771595315273,16.023995728784033,13.28608140087243,14.286114899097967,17.935562097881554,20.29400356155481,22.318572278833326,28.20943792958141,28.185774568415454,32.012720825042734,31.94903537583072,33.210989221809044,33.706315405003615,33.97568127036392,34.55241414665517,35.360627562878605,31.37598590738636,29.813036334881833,28.774148957987695,30.89772778457127,27.478702323425225,31.086325550809125,27.253712076371265,28.8245064134634,26.573233686838638,26.708996415257833,23.167040275367167,23.485980110391377,20.40927984919237,25.35369494894676,25.581706404681004,30.4593542140425,29.273941562594953,32.32568208038031,31.02482852298791,32.917712987154296,35.49132960363806,33.327369576478866,37.72497879069147,37.29047554544564,35.254628916172884,34.26326763104186,30.814481255425804,27.050588662483996,23.581842888415093,20.902614511658406,17.073678107915836,15.242507262753659,14.352911360951637,13.270941375075072,12.889672185923665,13.25631814309999,10.12270141497377,11.153692507846975,10.941760048056867,13.970673235000893,17.15510858312521,20.470668953505253,25.65792729459288,26.43141835409052,30.029488484767313,32.53333292702296,33.42155282396037,37.63328953990629,36.26278241820652,36.25129216861081,31.954650934246487,27.800544290894564,28.67575452289082,23.540200078452113,19.82079230366633,20.396660215575583,17.81719166495338,19.894602363691146,18.241113440723037,18.723517282136044,21.453576890995556,20.66614276546193,19.512878288521097,21.24116371045785,24.146193809019366,23.481322754445486,27.87310470691581,27.48406351287148,32.51491168832203,33.222079803365645,30.68009939718986,30.40703451236722,26.779596010390197,29.18919538664777,26.24817812323466,28.632781380557663,26.07886760514128,24.91489664820719,23.315809724039315,26.75545315592602,28.5401242580373,26.618417106253826,30.983868749831515,32.26888716044626,32.1671196351871,28.06548965307728,29.168608447723503,26.034695731003275,28.60161829054901,29.596294413109373,29.7638133908349,31.88703370506157,28.684951644896227,34.2367622204888,32.80201410208095,35.2819838118152,33.873018376149204,32.90369472296847,36.77480179026143,38.36387656979738,34.86506716294479,34.57089054291322,31.16074944330108,35.812962886951816,32.738336376959765,36.23779786297213,37.88885854125082,35.740230531263,37.72044220755629,37.06876993772209,38.698545930763856,40.3718913578864,36.75393127669422,39.18950803373381,38.70526851726295,37.280604569274914,42.06263143265563,41.01596027142935,37.21616315478205,39.701426597014596,43.33514212391437,40.09459417801271,37.88657234655815,42.55744534036682,44.804726948367374,40.065059945297335,41.62283878228882,45.23287843623088,42.88929014854195,40.69635726260851,44.81872360962151,43.45575794630678,48.92109322790819,46.77970340733316,46.60751859725717,50.3743799665371,53.739956449902635,57.824279681471815,58.345192318193,58.02616726843785,55.41452487478333,56.58398639769017,52.87829415531618,55.87341010324702,56.04168214283027,49.7907300905927,50.615324497158355,53.684776129491276,50.53468748114485,47.19030211577206,48.40371033646289,49.723809660321685,46.38889885583867,42.61192456135926,42.375880744420286,42.722833784540725,46.33233925425072,47.52185565857103,48.16390349160117,51.63182060976707,47.523540268851654,44.93244121033245,48.99751178594064,48.345510293489596,43.50151997190596,45.139554228681774,47.90693141945622,46.078467023017815,44.34844756176351,49.37266764893411,50.02916121852082,46.4396985641943,48.54471027801592,52.29535956252096,50.85594265994814,52.42964887517158,49.97428459932311,53.284397213718776,53.46789543911511,47.72461839141969,49.365206254313065,51.81983300644978,49.36396830629973,46.034923712432,51.43694515054643,51.50455941318392,45.86154973375538,46.20887130720133,51.24743606990367,49.9789738468921,45.98813407755012,42.070732679505376,45.05830194968054,41.75638648160929,44.984013859157095,40.27507542422079,39.971145304366445,36.99414888713418,36.0104762371178,35.39180982791801,36.742524844435096,34.604719635742214,36.95586273968602,32.94423417981639,34.45456170665504,30.24722772171073,34.27044527567697,33.872882870575935,36.72370847575214,34.310535883902965,30.809757567704935,34.41717629230327,34.42776459156949,28.861821667302316,30.51603522719956,34.197039351851565,33.7975258810612,32.06138752233219,33.171915964264294,35.6048304868841],[35.205537415126976,33.41275079220946,31.593430203703786,26.829260026865995,26.818614754915192,24.667297277746503,22.133759055497393,23.83773619584505,19.82755259244303,16.395162065669105,15.945781950902898,20.129749877555273,18.26559753266653,13.409409146481986,15.847871870386417,18.635815509125482,16.523058072864245,17.607021048374722,17.424644554920953,21.8769395826876,23.142870769727878,27.57350148148054,27.065198510586015,26.728288451307723,25.75196842622355,21.3415792353774,22.0431500418323,19.236391451066673,20.160924347140856,21.92264548994407,20.938205212430102,24.515209175556013,26.65924846949655,28.252071569684713,27.316582978254146,24.61029448661283,26.895863471129683,25.86575093932477,26.54923153480725,32.75946523568028,28.997969238688185,26.995404169946344,31.286840549818024,32.494784328170326,33.723000464783134,34.333922879935635,38.09882402554917,36.811066385499466,34.54949460156935,40.02693709953657,41.59975793284563,41.53366528409913,42.794757172137736,37.628241785322814,40.986361062389285,42.37873774200129,38.05982239810362,36.79373037806607,40.89133846109916,40.6329651069824,35.516026255009464,34.847861348734,32.49635975344224,32.568089524441234,31.530712640178,28.828077793783866,23.60272133929328,21.537394427721555,16.932699856301625,15.23242281559713,12.793028923378989,13.289951046604235,16.823825939151533,20.10083833595615,21.73638619074903,27.669149440797778,28.26805200255776,31.635903371367203,32.02818461940497,33.825642875644995,34.197584725983404,35.02274909186421,35.18288243330612,36.60078433532018,32.86353616169711,30.737389389050932,29.755101361526712,31.10450945252454,27.797081942813424,30.564250944885256,26.54880687255573,27.6974196416001,25.03437940867641,24.84411851864624,21.242092928434886,20.869029076726697,17.76135492907067,23.224532316792022,23.51669164271219,28.22513345263353,27.864094395470794,31.188067654366264,30.502255686016664,32.605659434964984,35.94105385627919,33.72358373851576,38.20420739869006,38.168561553292065,35.92191649497172,34.50040968121636,30.917250044663707,27.48855261470545,23.526623055742775,21.612317242218182,17.417704744602627,16.58828584208061,15.858933639374875,16.011508271858006,15.3117674058467,14.266513366805313,11.295837519753642,11.52499542172499,12.54958805294372,14.8691932315434,17.359444524761656,21.546922330439838,26.01447808629423,27.27544018811266,30.962857532002868,33.62236164355928,34.94217229870351,39.0964937287752,38.1568228760303,37.73012498422965,33.84866709355483,29.513908727253163,30.682915380930332,25.751937119895693,22.30099910762099,22.790179864469156,21.161795797055294,23.40591412433719,21.150523706484623,21.18796815947849,23.663719787091626,21.99579151306241,20.867237348221547,21.716914912000412,24.383849840854904,22.98562848809293,27.18432939584768,25.952349079292194,30.938906223739206,30.908571785574573,28.308784523114657,28.62826863401343,25.368174122716532,28.308063133242168,25.676461110867617,28.765456459648068,27.100581745008125,25.952063541437596,25.309596922414443,28.605513397040014,30.905282368043714,29.604862503905558,33.77207506566277,35.481822189740974,35.16258017790874,31.005417730276317,31.73530698380133,28.413212759263473,30.595585057753663,31.183215272580167,30.90170512139072,32.486778289297305,28.89794987750163,34.433173619488045,33.68687104164966,36.165757255112574,35.443325456229275,34.040095386547144,38.42328381414048,40.37126868319813,36.999120483754155,36.851586523218494,33.44387088319374,38.4485496661933,35.88009433072897,39.20608910513054,40.97117732857623,38.481965587905584,40.4234617138831,39.560803405822845,41.02934536014085,42.62031784094568,38.888927263947494,40.93394288198064,40.148207338480084,38.29303086899702,42.95333157026145,41.46380726238645,37.663160442494515,40.34587735172883,43.69409512528636,40.06986619611423,38.18201356346993,42.760651569970534,44.55507172749081,39.621498324435954,41.337954696267346,44.77015158797454,42.03103042995118,39.990249748452236,44.246341450379965,43.241465496742165,48.586912377157475,47.154539882405736,46.908574235938794,50.505615705119865,54.17897221109586,58.114114487387646,58.933639051420606,58.526791076947674,56.100876255306645,57.33795275153534,53.62631043841306,56.94256333540003,57.13346060939845,50.83029181117785,51.83301634826936,55.20466852048204,52.009548885688105,48.69205763680922,50.21376124798496,51.646157449198085,48.13354835376403,44.576992476776475,43.78706034593689,44.049469207026995,47.57113692735852,48.31149983438614,48.80674684731461,51.94069252091764,47.76648590677092,45.377342828846686,49.08879322852475,48.1306452986395,43.34383111311938,45.018736936193406,47.387469754565224,45.30535257847332,43.757588535853955,48.84139702348334,49.14070530748926,45.37338419428683,47.82923841777505,51.65697604097489,50.52488444006217,52.29348620991182,50.03819055122808,53.60284023837626,53.62682212094614,47.923812002875295,49.92666726310658,52.44524804525164,49.88551190176875,46.871995280902006,52.49602383845791,52.46575542196313,46.83343638660483,47.54869765084769,52.66621996086451,51.258489259859545,47.26915018356622,43.11753787015576,46.33672177262672,42.780074889015516,45.64171304894431,40.67453728698509,40.30978619764993,36.85630472481577,36.08391359244044,35.89523568335506,37.673920223801936,35.70316227822937,38.009371322909985,33.7305906380781,35.47646899882013,31.080505997425664,34.31898369823028,33.53516638946231,36.087114291353444,33.180342807666705,30.060867506923366,33.40698316510044,32.89247441982061,27.525833536179537,29.355695487751074,32.54087505754113,31.647981866667024,29.950476200946277,30.870553042928183,33.20115589893312],[32.73803525970695,31.204103743542056,29.97077856316332,24.91581873958402,25.922253565957877,23.479253734137163,21.649086335609027,23.714681489519414,19.531392753126404,17.01276529639034,16.818309762976615,21.00128729573337,20.000104132838263,15.1217747711296,18.248094829333876,21.217473315432958,19.445099486286498,21.249750298962464,21.568192718516286,25.884936620060962,27.41213872234528,31.801798413650513,31.390963352507885,30.9146875500141,29.80647392130676,25.36866333657562,25.742004793002728,22.660719429406075,23.530175862232696,24.818068724141046,24.190789770936167,27.192137310767805,29.359759559567692,31.471372729341734,30.569764034532636,28.128274197330636,29.959985527817107,29.371739039220387,29.95936813001879,36.2224736694325,32.516254441663605,30.895718925156814,35.27827582702201,36.30802011227941,37.57007196485778,37.9113068592016,41.79015603795852,40.59405075268554,38.00305467981447,43.40200814818071,45.1650414914019,45.022424337812915,46.476423468256726,41.24056690349705,44.67951886508633,46.30658815520972,42.04780013059702,40.74841675847368,44.942688749226654,44.80283759909364,39.73413933054143,39.117494605143,36.68235379277191,36.955332039800936,35.87606913768457,33.032864694387094,27.955064050340503,25.670839143794314,21.226120376465254,19.165049806473686,16.969403052981775,17.392731154272557,20.809442927385003,24.36727467482324,25.730643601107037,31.713591099129452,32.35067242052636,35.53293834280785,35.91524659343312,37.764193576445244,37.800257017040245,38.55832651165917,38.28735236954043,39.6747405904901,35.986907293975044,33.92005718151873,33.37811938575298,34.4826067399368,31.58401854260419,34.15792948011366,30.24232258788951,31.398715519329247,28.451545358745825,27.852901764429145,23.99903911864353,23.283315006208074,19.85727484521452,25.321249197113087,25.128580978497247,29.28218422180307,29.793204482891692,32.59122926546351,32.60408995935521,34.141425852812525,37.752253461419826,35.031729617125734,39.32598215624152,39.14749592035708,36.44270974803979,35.18615509556379,31.206166882389244,28.37008358191493,24.12372632573507,22.723359730815613,19.06105327533945,18.45159065926421,18.66647922556353,18.915594296953977,19.175172112559085,17.933198414037605,14.703354324725453,14.05365474057734,14.283635256234339,15.893048814078115,17.635959263778688,22.118588058507495,25.90990770352651,27.79711795581944,31.523783156134446,34.745646958912396,35.65627140225076,39.9829304782476,39.432896545491225,39.26011830926201,35.243999172824886,30.856922030961773,31.426988522496575,26.83949992502052,23.477409824911724,24.649116115701432,23.351301670068487,26.24229393008902,24.298961194299178,23.92877022636223,26.695981501115742,24.938122521951147,23.364643317799295,23.81846241354149,25.992911840521185,23.997481805243236,27.818630141638923,26.247858320457677,31.323878393085145,30.651820230708157,28.630005635639776,29.491707029992185,26.556363549212954,29.45729276098383,27.475656142514985,30.31123365909614,29.030099711653413,28.581465734657932,27.807682498418064,31.460800048967123,33.41947143446295,31.84919446717692,35.780155982351886,37.42268907414138,36.634050771107134,32.48775603807501,33.24958375732422,30.177399272405566,32.71525480179353,33.49210831559604,33.38202833111589,34.78766694877804,31.36978358802081,36.97790677305636,36.446264232730606,38.682129260648544,38.00567629556414,35.9802573528663,40.47486317170328,42.52861453429113,39.20347823332939,39.618692417467535,36.51612964812924,41.5472469894754,38.931191778403,41.97832724849903,43.45866154725513,40.86387500188137,42.376090199999254,41.188587475332824,42.39317070798149,43.610063052328556,39.593911501564335,41.45986407267837,40.201840355047715,38.4398608073196,42.833930486660535,41.3676629896616,37.43799919248392,39.7424558575091,43.067980586490606,39.29640616845698,37.03894504057202,41.58976765842709,43.48721325751591,38.18276737953319,39.660862882140265,43.08669369398555,40.30289930905515,37.897986131536044,42.08763367688569,41.22266460367857,46.6422899530923,45.304802865661685,45.3641087310195,48.96113930575884,52.88244445267528,56.659351775330286,57.79085901437218,57.68517957005626,55.509292876504794,57.039035504009654,53.569195836097265,57.02200145544054,56.88359892745005,50.571081800676865,51.9580366634971,55.248838322946995,51.784326577158915,48.685028243977996,50.53499605358229,51.57440937166128,47.8219601446262,44.81262764270536,43.649314126525724,44.49104420756062,47.96052397357371,48.413083177294055,49.20477550304887,52.20611026779501,48.24325831115675,45.617555740825246,48.970531632773266,48.176583200277186,43.32327109384891,44.58857093246098,46.8504915051993,44.675942488822564,42.870096970289914,47.91867238784547,48.113659230017504,44.08824860780832,46.44420236550451,50.359145169562304,49.28387863227003,51.37275958696759,49.42582034168493,53.02903198869411,52.634470964490525,46.93377127713983,49.31479446141111,51.55180063733764,48.77624555532289,46.08763817981485,51.778644489435365,51.334279546433535,45.69440145740377,46.8248170982023,51.795792294078616,50.013919086795106,46.005243707955074,41.68125010589454,44.714154970789515,40.890290341569695,43.66101785680253,38.61129096946533,38.6235573466707,35.06988185405062,33.968043373772076,34.09704729514165,35.97804404805787,34.388589964586714,37.05525157621802,33.02144722071405,35.299228971766105,31.007405533979647,33.61351379961893,33.04901812140774,35.28408818807509,32.51665219853765,29.17041912896381,31.941228847038605,31.52848608631842,26.47284464610672,27.554966817006264,30.49743619171153,29.80016116936866,28.51997495158782,29.75256472300313,32.1081617655054],[29.0234468134886,27.632706927241628,26.59512186482046,21.7091021466852,23.081371994132294,20.03180130077684,18.54944700378007,20.5149542925537,16.21257829971977,14.466500972299944,14.387597027787484,18.40497144952792,18.194642519810383,13.565139630250872,17.178034055932482,20.16922741300131,18.921918661240916,21.51801300307236,22.806392739060215,26.753201095073603,28.880855510384624,33.1946341707824,33.255527849083094,32.932613147841735,31.324923489128135,26.818390088638786,26.53771503056024,22.995825822119738,23.448862531541412,24.034733788492343,23.87859458194776,26.074478884929462,28.316658826806098,31.01838294979234,30.067072346805254,28.020002904763224,29.250674735181253,29.399951481395803,30.069048806942817,36.389993412453606,33.1054279156625,31.769684514110132,36.20794188743468,37.17124388943297,38.78804248809418,39.01398633595969,42.97887723954218,41.543408363271354,38.60809572095418,44.03652700941583,45.73393572457175,45.34108234373928,46.87991344930111,41.519069151475655,44.88304060614875,46.91883005208676,42.850698816614305,41.311021000859355,45.61726925233174,45.858114638741036,40.865572400204556,40.254535689800846,37.63685390489331,38.48349550433868,37.312335552266624,34.085940593840384,29.45035526091551,26.651759379718506,22.708889451320804,20.06980176307611,18.449616350756692,19.358430799718835,22.146113728836898,26.04788535919391,26.623153369147207,32.74134162853339,33.159649316875104,36.03073345497116,36.27783743708505,38.192046630630756,37.6967203928444,38.46963147513385,37.60320960280463,39.12360211758502,35.638503524307545,33.4650966118866,33.46188793146027,34.09474483058772,31.82306661557254,34.11287325046112,30.468393997426897,31.87971977372975,28.57806565754371,27.416830424582795,23.243767971578578,22.445395802528356,18.652511995937818,23.778976860945377,23.064118829400098,26.676615874933795,27.86951061520832,30.174517157362224,30.83101234579129,31.933046594236444,35.90594837062082,32.88111150294529,37.03821486097227,36.96565330797855,33.98869453971581,32.62992946901256,28.477999418484302,26.14089419701528,21.6619239120246,20.94817964411078,17.64694281464606,17.700630372569524,18.63578616988669,19.635007362190848,20.63161259871382,18.598553971133438,15.410962231549103,13.77608695925283,14.042379880345804,14.665434709762867,15.489005296252522,20.330556685769675,23.289191504757092,25.626769247274368,29.323054955378925,32.81440166469501,33.78119891341832,38.067034155850756,37.96574374106491,37.674166383970515,33.905197922880255,29.48171025127571,29.99793110383963,25.820092659158863,22.835013148160108,24.183908991541436,23.847680536518702,27.184284297491267,25.063898403460044,24.083279574129595,26.832539392054727,24.62733995716733,22.7609563406261,22.533168128358138,24.18811344703083,21.62247500004927,25.04946124615719,23.13155866483891,28.178434352231747,27.12113918624622,25.48604983466325,26.68709849543869,24.0617491410686,26.939651234292818,25.54753607069438,28.310409218124672,27.668261452358678,27.765436330497003,27.36704810929552,31.12552413937307,33.07356148397242,31.803852382792588,35.372077057512406,37.31447259388829,36.1412881306698,32.036609272784005,32.4847911772483,29.466861787006806,31.89214993237957,32.55511121814245,32.37056347001664,33.40687053720759,30.087653192702923,35.66281801843051,35.52383439153454,37.51375221927415,37.169442472610626,34.52452602325515,39.27381252397342,41.5693409031915,38.39778090426707,39.30349612696622,36.50861832201272,41.7194596312855,39.48175142520147,42.11242402358578,43.466474991434836,40.56193290287473,41.770637723265374,40.27618943711338,41.22755260378337,42.21756268254819,38.07696387015769,39.57596877120336,37.99988457522809,36.010315519980395,40.20146324816,38.513164588332955,34.591357831122565,36.89128965679871,40.01232897887923,36.04612049707045,33.935789630891556,38.37916453751102,40.03655567787093,34.63208908756917,36.16607318798292,39.47456693454003,36.52476342428002,34.20438132217988,38.44191511022284,37.771910538375785,43.08123220513255,42.18318523211198,42.168134184870276,45.63529320912633,49.722712376796615,53.395936103411216,54.7076494096932,54.573852725234744,52.552648666308514,54.17348090805118,50.78186919599576,54.43294747546837,54.22868762391086,47.92403114109232,49.50527642229695,52.94887586412515,49.425532541098036,46.412130754948585,48.53722074196223,49.57674140370297,45.688626883938035,42.968972362629486,41.33924130472956,42.268559849458676,45.633276618669505,45.73362100752301,46.54901353506124,49.32553981593988,45.44955786755727,42.83604867554901,45.87656896971885,45.026421678306185,40.20377880426674,41.334998661796966,43.39273684495361,41.11577497461193,39.314339917580334,44.34845478646087,44.391161666178725,40.271030835381616,42.72550429058908,46.6663386392166,45.73536005739613,47.953099688281114,46.174962753166135,49.89090253068343,49.34164529210308,43.69810102633387,46.323995554215465,48.541910037943964,45.70282788655081,43.26559028653085,49.06429965858259,48.53376204370612,42.94934821653679,44.35261748925127,49.33310417276938,47.47078260923892,43.5047765404264,39.059505076165514,42.28792452827979,38.351897816826195,40.795466279136186,35.61589348899106,35.52684801072782,31.715014702851295,30.809167863153885,31.19799133829453,33.37927396721812,31.907146701151937,34.47889223759619,30.352824551588128,32.83893851486867,28.54222089279296,30.48573766158516,29.801705436714354,31.79087126528146,28.93007428619393,25.688460624038413,28.18745770116633,27.625696325340687,22.769034435053804,23.74314104761667,26.459284511491227,25.67985482074657,24.50890305698053,25.82783913755064,28.19321370298333],[27.88472710640166,26.505400984264927,25.83119059864058,20.487744320844964,22.58528529800599,20.26027818312167,19.385123122508034,22.141847902799636,18.30189444153327,16.97833828510978,17.660810984580777,21.711170863818513,21.193473772694986,16.769743026530726,20.89835762136769,23.661984830917273,21.890242154569282,24.665278149285353,25.48846004566182,29.453169968665428,31.427558346869358,35.61634394759686,35.471009588570546,34.70979774714047,33.2216141829665,28.809855741667384,28.571207208090495,25.220512549076304,26.258810679011972,27.091669537185965,27.600158024395917,29.588364413496837,32.14538925531678,34.8546346454708,33.59656367559109,31.30093498421044,32.333347246481715,32.04440943278754,32.28942216817187,38.47594416621544,34.846444247299296,34.00492623557126,38.515403707407756,39.11788323942662,40.43044074014204,40.27186055230881,44.31645557346771,43.27971236778688,40.10658930364991,45.29980738630392,47.395280167559235,47.138376985092044,48.97594346419691,43.69445947592811,47.34777600824155,49.35895142787346,45.227748699561545,44.0262691118717,48.42493287669911,48.40503925175124,43.53923244701896,43.294678845213085,40.91815299937696,41.53764385990567,40.10079489582536,37.01645219909673,32.41240865688341,29.9070659348151,25.821143046007666,23.631763799917127,21.774478609838418,22.7437887912005,25.821277245564,29.432403743497233,30.26342687326745,36.443007939693466,36.60325189112502,39.70203367150922,39.70889642017008,41.34370716593378,40.77221325297418,41.15312973701009,40.307671806671614,41.392608068259406,37.76090274378433,36.006751067200035,36.21264712246037,37.21743005710516,35.04259831874804,37.760943876643836,34.19954311385451,35.808230330202726,32.6041341194793,31.49453970974667,27.234582456358115,26.64968978515494,22.752433975348993,27.64672107036134,26.65687015720736,30.04478856859989,31.21132205730159,32.98114348040534,33.67347621144985,34.22050432440658,37.824787705980306,34.439981816560014,38.36429469160664,37.84430276407944,34.62329232385018,33.77511128708374,29.38374821261396,27.3188815103595,23.014039605300812,22.126865598575133,19.529430828665607,19.018876052771724,20.49967443633215,20.805545655425306,22.521440436023962,21.17362583989779,17.70532780885853,16.10487625668695,15.082750486026432,15.642388333254205,16.364279847752034,20.721010222279702,23.61226238387808,26.137418431942805,29.785257758019725,33.662413538409034,33.89348710237173,38.38254409815962,38.293231613008984,38.56171984209633,34.35437131854717,30.037032778509285,29.7432070598001,25.76349750873833,22.684144248366252,24.713235127856763,24.003074719017313,27.716192683446824,26.250219978350955,25.278999955206675,28.397334212555325,26.718693890305527,24.537184262973923,24.65230249645383,26.126548472750052,23.676189084163514,26.936465046149255,25.444297372402485,30.55731680391939,29.577364509094398,28.456913942576012,29.59612059608279,26.9376162024036,29.377506379625427,28.22026379289782,30.27314233566074,29.261705696558654,29.858987096117854,28.692257192343934,32.80781287200314,34.12703758031147,32.18170532612218,35.666790609644885,37.205706081845975,35.77313238321552,31.748445032761158,32.5168126557508,29.88880545800992,32.901055711904974,34.01657231616725,34.289196099499335,35.58606204106947,32.65742601553017,38.30275204711973,37.822902746003244,39.64510523376017,38.833371630864306,36.02785081267972,40.469373219511375,42.57401020456852,39.35240689094328,40.59519031915218,38.03159669840129,42.99169896330475,40.34456981453274,42.881588512908564,43.906254433258724,41.19124851725632,42.05475212876577,40.43927395531751,41.27607534206642,41.97778706370711,37.66120735853617,39.30520671189032,37.50885998501421,35.985471236774245,40.004891047742504,38.722059148767684,34.67986705253701,36.41102128436439,39.75746243691954,35.98181714620661,33.18568707169008,37.68425147537744,39.85710388846168,34.23472679240542,35.35625033072243,38.82233937842191,36.189711892692685,33.31946897101641,37.35373940682953,36.50515964855193,42.0202602665776,40.57408313927668,40.97430296657683,44.60072975229272,48.683483642947266,52.31540875629257,53.70199110817896,53.965804733054654,52.04345270991435,53.90074675068491,50.75990500262998,54.272018327558634,53.71748766744434,47.45292506248039,49.26701712090481,52.37011631400729,48.6116801598205,45.80258063578312,48.001394566090504,48.5395589410998,44.55203584781921,42.218673684923814,40.675404694818134,42.25964440576656,45.64195769516424,45.83760018006303,47.05946954363018,49.98085696079216,46.36493902117817,43.36856390399323,46.35298183996045,45.91759888184479,40.99723243176681,41.69525697882246,43.9839431363971,41.838715751536704,39.62507187960653,44.561315696259044,44.80786980516428,40.58926820190651,42.623329447810356,46.58271631689338,45.44047289889478,47.81934758544963,46.184648498067155,49.71670907097189,48.875272340544065,43.19950812053646,45.90229955165581,47.769727803679444,44.790860404236064,42.42161285615642,48.09909577942979,47.20931972532688,41.59951999724839,43.131845910475036,47.89091368918262,45.73633996929101,41.737220292501334,37.29238122475438,40.10231480653706,36.0672021956536,38.762122852983545,33.70660832171812,34.12030612329594,30.627265338796036,29.119635484903338,29.488253856236184,31.39585288032221,30.217041691064253,33.2509652804258,29.6279901332776,32.47911635428004,28.460051800865322,30.440568218579806,30.33399452402859,32.26148645861387,29.991080205658363,26.19327147023019,28.315471623601287,28.356527447516086,23.67887974618409,23.663786672617775,26.57424505882776,26.493637138377622,25.737772072719974,27.510178665765643,29.969736150883623],[25.944194328507237,24.992695284799694,24.79386129366471,19.89396915500419,22.538618279345254,19.034920996034852,18.633101491779108,20.753965964638386,16.60585997465474,16.31267404945185,16.491267782677607,19.9944240765452,20.81202350836579,16.71978918538446,20.55235291736351,23.478208348715704,22.67645939144406,25.77023425153025,27.50658384864633,31.236204986704777,33.623617642671576,37.861102093515335,38.08976918617734,37.720417944912484,35.93236171065225,31.441122578140007,30.825598432818246,27.09698629428558,27.39726776215262,27.45920840322681,27.655889053558642,29.154973872982715,31.347230177345324,34.52889287614033,33.62186900388711,31.92145231073479,32.64435742076115,33.310324846920864,33.926686261236384,40.193999799285876,37.11533611426869,36.12037543845434,40.58264632173731,41.3980947430297,43.1181214952315,43.1260625002688,47.15722536112308,45.73100373321919,42.49703017937053,47.822206937200676,49.621016047730336,49.101440793688155,50.79243105972867,45.393125964951,48.75972352727546,51.0682107956857,47.13055356028692,45.51047134448974,49.87874136524111,50.31204233534651,45.40352887310881,44.82518386467052,42.11760257434896,43.23926825582401,42.030484002606826,38.641004349050185,34.23399693429522,31.22326979633353,27.524121592322345,24.634406737941436,23.268497891144975,24.175112201808215,26.75412905224357,30.832469417055048,31.07842813776557,37.17242243138007,37.57193486874722,40.1993052454417,40.40929584946054,42.3629429921928,41.48842766490085,42.213666984348905,40.86267015598059,42.382897295358,39.05630951116939,36.930690305283015,37.39025093151466,37.69820332163372,35.92095203488946,37.95162199597197,34.50634109329958,35.95362570190058,32.42728402430203,30.86260164800441,26.58015396057931,25.53731765080488,21.646237638898565,26.373366331371535,25.14244954669443,27.892696538896185,30.040969976993782,31.648005797832372,33.10518857640145,33.55218127569525,37.78816109196255,34.3060163104423,38.13531741564388,37.98307479779776,34.56062606676882,33.34852913815378,28.90330999195303,27.419047511692103,22.843307268351126,22.89298591035894,20.382831463734213,20.790817831994822,22.46072260309952,23.63560682933104,25.268714666775494,23.052143983661114,19.881684856311928,17.740440197015374,17.52121009040463,17.304890538429152,17.07646447731287,21.858950427827928,23.64255600499377,26.6341262835152,30.193108701852353,34.16990080968777,34.7728241021089,39.08432476742773,39.49640258182812,39.38159336616216,35.68507002353904,31.34211029798663,31.31033381101474,27.74544912068165,25.11189024571218,26.968857839673607,27.15807969655631,30.94172032248493,29.036705158484242,27.669811275547797,30.52318460461262,28.20440928737089,26.0289468328478,25.320673797152935,26.333133032420815,23.203688398927287,25.92930634730432,23.637656712684727,28.50277645992718,26.662170573590558,25.855364226031906,27.66102159916911,25.585667625634322,28.287732430250628,27.72687731191239,30.14754217361071,30.072553306456854,30.870042614936303,30.505346677099872,34.44723033227923,36.09649014951188,34.747983242556934,37.93271953760099,39.87915610238432,38.225569238596876,34.251107875037974,34.60549357940895,31.898005955871245,34.49097474376767,35.24418821663936,35.16950016933983,35.913196082458704,32.848944054541576,38.324601691284165,38.48992305702227,40.1704024222057,39.98342314402823,36.69201784968347,41.51765677350987,43.9429386891884,40.91893097363805,42.40747550919314,39.97921657210343,45.19017527419009,43.058796029313825,45.320231284913646,46.39677414911564,43.35283716927008,44.09876525597379,42.257524694920775,42.87963030589317,43.44468881816702,39.089770354418256,40.24959091601246,38.141844825017266,36.19052807900633,39.943157318848364,38.21289257539703,34.2675418168656,36.13526381632267,39.06999300588302,34.946505765395045,32.58039226559796,36.84149929075049,38.4536547502858,32.713187353934664,33.98720921687551,37.16895743645237,34.12905336944983,31.490559554212744,35.6115775477175,35.21302524915901,40.47009693955584,39.91389573265314,40.183843029693776,43.53867634024748,47.910384381137234,51.33656773840436,53.03536077861817,53.188299580464374,51.50417720451473,53.42920460274488,50.342372189665284,54.1650285226875,53.6242396039079,47.393760562489156,49.400127625191885,52.79023432103849,49.032991305132924,46.30649989089239,48.82115655141982,49.4811711307764,45.36839412318004,43.32852052419919,41.18339727214212,42.670626459910295,45.88439739458554,45.56332092434448,46.651589680905595,49.16391970135289,45.580906554315256,42.79962919904243,45.30792725128246,44.600749189046724,39.81726305714655,40.466459029542996,42.28371266090948,39.901993782909834,37.87553061373429,42.783655214116536,42.64137361020468,38.265463349770414,40.63188484608301,44.62499659134378,43.83794329754915,46.415980617352815,45.05012657354514,48.80729842269198,47.77791474680362,42.240641876124634,45.320195574313246,47.22148340834149,44.17408497841398,42.21819207375026,48.04775497364148,47.07495388481982,41.58856389657441,43.50746793298999,48.27845854233189,46.032767132098805,42.1243374595138,37.52231592083803,40.59627963083759,36.39451273505991,38.53522923579069,33.288528660915524,33.55921907323167,29.585490091072945,28.437622888346677,29.315961165953933,31.706406343924886,30.73749651350232,33.560001607370246,29.7620988867257,32.78745147456428,28.73969079043714,29.674256321250216,29.177162333509088,30.652524466940193,27.97940893852281,24.68335351888467,26.302659558169747,25.78447787227351,21.60471438286347,21.59751674531905,23.773938347069524,23.198660304350405,22.63637019054148,24.303439166180105,26.613475836550627],[23.094870761485314,22.104376082832296,22.375778139477287,16.985504976834267,20.612109351943793,18.236330574786326,18.714231740671007,21.849418968057556,18.59349489325796,18.793020804344316,20.028882083929794,23.54338167622752,23.790835102680468,20.090577314455025,24.619452941798237,27.162518602406244,25.696425327416655,29.147466477830367,30.515964980276973,34.11285708695977,36.480717235480945,40.489970163241324,40.63120666142899,39.759772421105644,37.936328024229006,33.59257793359562,32.81747331193968,29.260155474947908,30.21396820481944,30.48485549045242,31.756100229174738,32.808026837326345,35.521731538473425,38.769243765759335,37.343747527825975,35.349723835856935,35.6592071331552,35.85406471474468,35.91519922443995,41.94855622812012,38.580572606109676,38.331995683426946,42.870443248757944,43.17491310416703,44.611723468474,44.08788097967512,48.215069630476734,47.22601250558969,43.5939536691538,48.57491767848664,50.85764170303711,50.44008052153066,52.549000829038675,47.25557831967828,50.97893588546821,53.36633565892278,49.426485600880376,48.21300964287536,52.72763941275199,52.91823223690929,48.239844411151616,48.205172593221384,45.806871124349954,46.80643691754631,45.165597461038004,41.850000296406286,37.67714302762508,34.92003365917396,31.210363199382936,28.80241036055217,27.287429334685303,28.543913856601748,31.288150390785248,35.02301751568285,35.35478968701684,41.60484080924893,41.478271670742714,44.371958518173074,44.1438344417039,45.67672609365426,44.549400966371316,44.7024742881091,43.258400928431094,44.180309687576695,40.733774003545875,39.179889770759374,40.05705165712513,40.79037989409729,39.31593097130409,41.93941655698525,38.71475752949189,40.59729935941303,37.15674651426524,35.575693297845476,31.096292048446454,30.504791382840725,26.39046385909781,30.652624636255055,28.99115702375673,31.430587138359837,33.391047615485824,34.152002652721464,35.63914891797951,35.24235353255847,38.91989155028848,34.955280862890966,38.38904770693413,37.636106870098196,33.904171945189916,33.406500365191405,28.711927326181154,27.68733618250989,23.47125458153651,23.38880602470506,21.941639030183566,21.77980323814976,24.206941579832474,24.750627597031407,27.40379383073605,25.820384560798523,22.402699312274173,20.15331186912163,18.525509839664064,17.989565959757883,17.441945822257754,21.38974710737071,22.828565247118927,26.04312976518894,29.43235017337328,33.88407426522427,33.512659363750835,38.009163190496224,38.5268464813341,39.12541268537868,34.97037438106193,30.851332805318886,29.766757925233854,26.68560186327026,24.165838194674052,26.828199781696508,26.89273395906302,31.159834073202415,30.01603072198929,28.50273671915902,31.733975326788006,30.01238338196372,27.4200119518405,27.037554593747963,27.709378589450942,24.782329677298073,27.193730965634643,25.637645887640712,30.504546140381365,29.01073505837408,28.916775015904804,30.452150792499985,28.305705933165235,30.292081206311543,30.086098803231547,31.44961535758631,30.968209876015276,32.51801844725943,31.255263828135522,35.60565713840806,36.41477712738055,34.33971075434753,37.24115510521046,38.75032249229664,36.67569063065193,32.89932955127716,33.54165453902177,31.404462915442778,34.652760306965504,35.953868768926604,36.47269634819378,37.49767097109647,35.03771409133931,40.546121962862486,40.28798069302798,41.67122013623207,40.915598896370554,37.326893599301904,41.72261155598674,43.920380110179366,40.90826816636751,42.94969398294353,40.94087091529882,45.82110314693026,43.318965455155144,45.29191506539591,45.897761085705355,43.03299310570662,43.23830124368885,41.17917268098998,41.57592841334035,41.705068038498695,37.15638017425648,38.397612833180816,35.967742257306995,34.62238750610702,38.06868387539202,36.888139064772396,32.83650594967825,33.91025041345378,37.1014058200896,33.29057980694655,30.03146367361976,34.312891415362586,36.61875143971328,30.669490946247087,31.369450400046453,34.75441701410182,32.22319846596601,28.866793983539335,32.67599816287407,31.99513482554712,37.502043966616576,36.19813688149199,36.982223313299045,40.53039801744075,44.855097276051346,48.23457931124077,49.99489726148373,50.65028065048531,49.10077545245476,51.32504138529506,48.5933706377031,52.22026686872478,51.21931408349984,45.08372817327081,47.39965432874404,50.34259265233468,46.30135938227957,43.8729236601062,46.50974902775053,46.525721925206,42.29431935502848,40.82860779910754,38.72478435580869,41.06822612909058,44.25664300615541,44.02797144986466,45.658803947893944,48.341604120475296,45.15245342019006,41.86851792062255,44.27457525987905,44.1576538377192,39.2833592022514,39.32846330260076,41.477141283403434,39.33042400823432,36.74170838704903,41.46736557711374,41.65687232852638,37.22534263149168,38.94844041374012,42.9258497950033,41.821021859213744,44.570763697308614,43.38849558851825,46.86466119877535,45.46732563828135,39.921942785965136,43.07278255391371,44.504364701530456,41.29779586011595,39.45174654055431,45.09028034715007,43.66570625438053,38.186847565994334,40.28523456756169,44.74703964436632,42.14641923777655,38.22658828965241,33.644758786511524,36.218190237757156,31.90768580240505,34.310086177837924,29.241968496810323,30.138910980139684,26.63770155758092,24.712851026360983,25.56213375767969,27.61435221541637,27.058510208489214,30.423355536460456,27.342824993701832,30.828395130410122,27.240871476475643,28.131969167169316,28.450393215138735,29.83310737843021,28.093805763405978,24.05696217583698,25.153740670881042,25.590534443645144,21.721437243593265,20.30864277943081,22.842015005674874,23.413432475981324,23.394083923745338,25.68864174881535,28.122185834775113],[18.19770411236173,17.720610164735668,18.881682118672238,14.088121754620786,18.836059594365203,15.875374549865,17.5585948427185,20.462245434676486,17.824763625612015,19.4666028051865,20.893801278229102,23.63185162983476,24.77972162952792,21.921221562601154,26.448397276903343,28.746196802722025,27.85269443110877,31.813942255533398,33.920974946292255,37.08159574944404,39.912279115061615,43.76509840525399,44.32869991799811,43.60235341290089,41.364011533947505,37.06905434476117,35.732338553569804,31.91745383512197,32.47247345391601,32.04080556899199,33.7953216518367,33.9225354952481,36.61601446478143,40.364524387485865,38.90910692464434,37.38106721420471,37.01577117922075,37.94130025245317,38.04172642741041,43.9179304489572,41.0721542743492,41.15449598632433,45.64012876821602,45.842305270552174,47.59147553932689,46.93069968596792,51.074429352133514,49.881855682843124,45.93602878244649,50.81340709913498,53.018896613665675,52.338927543620564,54.537388065744096,49.219040747664934,52.81482994482521,55.611180171481074,51.938941082978474,50.52183839688268,55.08459388519857,55.657591795843715,51.13589621818222,51.12814951564289,48.602229206334194,50.12955767283253,48.414095152252585,44.79874272523756,41.11425128383823,37.98559582281395,34.78695853093342,32.021467473237294,30.977423992187042,32.51893933614385,34.749287791377434,38.6655318654192,38.34286357725633,44.56630742835475,44.22787683637016,46.76649769189201,46.38990677381772,47.93261727985271,46.25738906571225,46.378563133867786,44.29480757157468,45.28117499137535,42.1631564726082,40.60057371591336,42.064734768225215,42.30378524483907,41.55013542691081,43.84017466502142,40.9932931604947,43.07966229854113,39.40803249581282,37.339819772574536,32.762768489502754,32.14521991440382,27.96888062816451,31.482809874788476,29.266909181383717,30.70927402460143,33.462806672475864,33.36188043431643,35.663958858368915,34.54561778377093,38.46223871448472,34.14755583491957,37.13115392716698,36.44152795897189,32.360726984446835,31.90422998466057,27.126153237317734,27.13174235762431,23.042386507811823,23.952909654736878,23.354968208436638,23.84913450933325,26.830200499420435,27.956988778166846,31.090498561306262,28.97482563792109,25.803384631462187,23.008559086969928,21.481817528653625,20.00401427082638,18.293454099753372,21.92174584202442,21.722168243118738,25.48131335539049,28.524351713514115,33.25543573797457,32.76274153970543,37.04482215326061,38.227302163737264,38.77116802677086,35.052740360073685,31.14585759407155,29.826737590928435,27.632023711196407,25.823247665602644,28.5998348471813,29.681478475732508,34.19755154178517,32.972444054662496,30.935055959188805,34.00685502475749,31.969345543904303,29.191636469818796,28.114612476183527,28.015258276835954,24.60412098538238,26.076371303312307,24.267454462081012,28.66833453309711,26.625463410179364,27.439190349357336,29.36993373133468,27.86421434664824,29.508224541256187,30.225120772582574,31.195865915950364,31.52928244256977,33.76182073886628,32.886226376767134,37.18897871085554,37.85630101995048,36.13652156180035,38.44593724457696,40.20911148971503,37.67108566034035,34.148470931065205,34.40167694016879,32.53687024624869,35.57593812990724,36.75472373109753,37.24216889794874,37.79815712772875,35.66599660074082,40.89080790896195,41.07397791885254,42.063688291689104,41.673601308507166,37.38538551982313,41.88004765503817,44.28997743830859,41.57500076234986,44.22484193955376,42.67754762617008,47.59525963125801,45.54835610761513,46.97016216229667,47.35987716789237,44.21853787991099,43.96315298438793,41.53216209627137,41.53124367250287,41.250707177162624,36.63689576914625,37.28765496887304,34.34647785606995,32.83735388152705,35.71370694766708,34.334061489912536,30.4200713602601,31.176576438515784,33.95595444148433,29.97774149339073,26.7947733955235,30.718509597235588,32.71964325282837,26.5972175073923,27.146876276730367,30.277309061576275,27.599724202561674,24.146113279444016,27.87098074391404,27.56672934361087,32.859444708296195,32.25574849753339,33.08824637071448,36.38006167913571,40.981163744974054,44.092779368747024,46.21237657388008,46.96835796661932,45.76546612830337,48.20336016343938,45.74830213084976,49.599159086708056,48.385893151697736,42.39882033826067,45.08066827956524,48.10903196542179,43.97310221429457,41.82269624595165,44.87671955877409,44.73320966282807,40.346651080845035,39.54699960620112,36.746087379627284,39.3896530144231,42.31174948036767,41.52064203260356,43.28994296204858,45.57380890155992,42.700852225949546,39.39917364813534,41.162900330624694,41.10565529231354,36.39572133357031,36.00587138889289,37.80347462628709,35.572245003902125,32.86771345875393,37.40074032153462,37.37169317561966,32.78208905811105,34.46293145267114,38.439843453222025,37.55016938568364,40.588383576146896,39.81810661604116,43.363484207424264,41.57361129777189,36.23074145821356,39.8229468791691,41.04320729279256,37.71162823640205,36.431556621846994,42.095899297215816,40.38898493138178,35.124186427921764,37.74844196723921,42.03923617612904,39.22031604172404,35.458333900814445,30.759982114722707,33.459485521527476,28.983312617285815,30.735330571905756,25.565551421176476,26.51700274931154,22.716962343792314,20.924168003970763,22.399722432691167,24.89303416343463,24.800411171544955,28.033931617823278,25.189906205521094,29.045311800811653,25.809564842035112,25.341305459937015,25.706167645104415,26.45182458407756,24.95689892754978,21.11605122074807,21.192004649615974,21.66377602879657,18.77802689776532,16.353515032351268,18.186162810261386,19.09744676400381,19.72202351551155,22.3358179319238,24.65821033487883],[20.0907072151159,20.208868944625678,21.679225902956837,17.667484605497414,22.189692438204368,18.05684269170373,19.635090629082185,21.54022150790295,18.379351358463943,20.404131969508523,20.970325808415726,23.224637596153734,25.46631563050139,22.61398804722865,26.48860623934261,29.049339069659013,28.96244552189407,32.762360741895826,35.31202175114782,38.51724773672733,41.43189084300481,45.454583258633086,46.125542301445925,45.78495253087788,43.54823854498857,39.13660559298323,37.84626002568429,33.844192677920034,33.78880717258271,32.943762216551754,33.861095721774674,34.03708418910728,36.16113544764643,40.076770501263724,39.156314318391814,38.09041317233358,37.8550200978481,39.44403587348841,40.001534200978654,46.03452336525252,43.51711053461092,43.10097488456213,47.524654495859146,48.10082074806352,50.11109982156356,49.80131618950453,53.88893265301809,52.353399034142726,48.628209802562914,53.73735691258993,55.58550909144989,54.76154883308742,56.66623138667187,51.254027441436946,54.52805120543646,57.37400495981688,53.768873553432826,51.96168097783349,56.40720573742672,57.27766651580533,52.59315062289316,52.10875389956285,49.26755383413514,51.00320634593678,49.67216148727436,45.944870267592485,42.13141101978913,38.72246262409382,35.61511558527476,32.36485022293627,31.52519075019367,32.69779584940575,34.72550118014423,38.99136009605527,38.493958578830586,44.513060086537585,44.67834343720092,46.838135432244904,46.86482510617794,48.81271379112752,47.19175585517698,47.808826003858286,45.56773476609856,47.088336234992774,44.17539205341963,42.140268012886835,43.44511772230449,43.13593415358548,42.35214353875458,43.94228263712625,41.00750218478226,42.66802325274031,38.83461094269398,36.59263315037618,32.223355243603336,31.04537614928559,27.14317831267278,30.760576443661275,28.682444461184595,29.754961034627943,33.31116840328298,33.54306803994503,36.31630525001678,35.58380856995322,40.13367971823541,36.035194999464046,39.11509232769667,38.93099720955874,34.904821180169314,33.904563337501884,29.272868662793176,29.417453076808812,25.070595216295512,26.477328448252415,25.359302696213067,26.42868058028971,29.025829219100675,30.662437828624945,33.160677903615166,30.51955889122348,27.553613164760563,24.742538768955814,24.14774812823007,22.71324987184654,20.917015705585843,25.085470917346814,24.56143864438994,28.4008278127588,31.437025121366695,35.95472424002128,36.09453903643207,40.16836935706811,41.54885831784114,41.57786823489964,38.331417672343754,34.32850578846068,33.60694244656814,31.332033094469686,29.56872198955366,31.90933839308802,33.209112239188634,37.502906322566396,35.783813099075836,33.756084401619255,36.56023278500945,34.002106910099045,31.46950704021644,29.923013984673734,29.795145453474106,25.967093763553162,27.21760594601685,24.494824650221197,28.575844974168668,25.55696068765214,26.37570593943299,29.00200015365516,28.01978316336564,30.175080858873784,31.085236762270668,32.800734109575515,33.80983307174568,35.71043206956895,35.60947791468064,39.62856760316572,40.85569078611025,39.67555006141279,42.046156022316325,44.132161971167875,41.72629827732202,38.12577128306791,38.127228448241574,35.964917191340405,38.52862805919549,39.28124835482099,39.30545931043536,39.44355221286552,36.93222658283551,42.00931696103955,42.752388816551424,43.82848265468356,44.03340159145081,39.69222724470324,44.5620610212306,47.22000350547478,44.58974384434673,47.04608054597635,45.32029389964897,50.496558025540295,48.78862934371505,50.29161566730376,50.933885090401965,47.6014868581788,47.56473257344035,45.15329785703951,45.16245165318901,45.006433369315076,40.48008358638139,40.85797507687594,37.898318238093786,35.91922673801536,38.69910183405826,36.81460541462503,33.07073040203283,34.19924036319373,36.52832509634261,32.222312629861065,29.75442798911753,33.384004776630064,34.63138960951291,28.569855751744207,29.4056087283988,32.115883917582465,28.909750225551498,25.95579174270605,29.737683819638768,30.00567841912521,34.85833135684122,35.30357189780112,35.91439235538065,38.85110455789453,43.67157714558873,46.55363659780709,48.93574304762876,49.47202591789238,48.44789920441245,50.829791396915994,48.32305008432035,52.43923312842964,51.39334779907554,45.457208531005136,48.146069354570855,51.491219541505195,47.48058990589387,45.30871371530697,48.48701374001324,48.6272761317742,44.242888548127205,43.42822010200352,40.29698836642294,42.539883771195115,45.33907415172105,44.16779236142334,45.619860860307526,47.506824923904915,44.532195030234284,41.62369303530343,43.02848474788571,42.52332410935749,38.01668675729676,37.80964791478862,39.03451954985014,36.51574328585839,34.22098788138002,38.72010762007077,38.17961981949762,33.48030057057684,35.68853105032333,39.65828845728122,39.239189202518254,42.39649363939488,41.83148719689473,45.622507442074415,43.78605467672027,38.64145892486598,42.4885206047489,43.85368374119588,40.54753326347242,39.59348197260696,45.35348648432998,43.71057552900181,38.61759291323381,41.436619790289534,45.759385845843454,42.982259982011094,39.34366720105858,34.61412801105519,37.52491002941683,33.03360099122863,34.267747396674785,29.046863800290893,29.744632775788077,25.511201559331074,24.27750841765032,26.145338642285484,28.986230756223414,28.941156838630306,31.810403580608373,28.68128525822068,32.397195921547485,29.01247631899756,27.867673349612787,27.59690617771037,27.954394311207064,25.75321508211473,22.781233723327215,22.51930236182438,22.018746635241676,19.691838443491488,17.84627985307741,18.517601168132664,18.376044680441023,19.138123233904256,21.34318240553124,23.360951503539834],[14.400726449238846,14.923975773522992,17.155837791372868,14.027686898457903,19.25360747178049,15.359049934384739,18.091398395333012,20.086593331625753,18.150192613171757,21.183729698622358,22.424031744601756,24.080079975090776,26.37955597735257,24.454589175222015,28.57638770945986,30.627310036449206,30.55062006846936,34.81883796200767,37.70779979055183,40.42183142208667,43.67851243671238,47.39496237040365,48.39895808926091,47.96010302520093,45.3468026155358,41.10754245972372,39.28529606878213,35.24016099650567,35.19938702261322,33.976019316071756,35.893159470710614,35.12569481604799,37.56335283025154,41.779146755037054,40.479418056657416,39.58253570765671,38.61036275027893,40.452016373267504,40.7550238279137,46.44625006802145,44.27008807803114,44.474688939897405,48.83016873719828,49.07620042795949,51.21251327582164,50.575293649673426,54.67337807982138,53.1491774373307,49.03548782098749,53.86138028366606,55.816423923881324,54.82424716544867,56.96846446087961,51.645272450110454,54.951837879263294,58.144890840004535,54.79594105523534,53.04910220056687,57.57289461295289,58.62541510594823,54.23915510528018,54.09802781450647,51.37058405452923,53.47215706441356,51.822910751992225,47.914947749938904,44.70826190292546,41.18043328264771,38.547137584151436,35.36251425497987,34.83491748822004,36.52404656109718,38.17184105744483,42.291471716791534,41.289643860971765,47.34046415467547,46.9379834570455,48.97945238678545,48.58061077227081,50.24322024411978,48.0657616204374,48.32784888400094,45.58670323886138,46.81970309666713,44.15410037216299,42.430916628990126,44.38320594475374,43.94639379051045,43.90297281918012,45.61149965729457,43.16099622953212,45.300820547616865,41.42015521900443,38.86431344268211,34.360486147026776,33.59888450059735,29.57229884856424,32.23911479335847,29.579300108870054,29.818725790153188,33.54711373982484,32.666192957978176,35.901943921298354,34.22028402163646,38.531839108063224,34.06350643681737,36.5578414004051,36.179256828131926,31.886414076913287,31.23101873893659,26.609726170541236,27.71762110562232,23.85298210199733,25.87028361036578,25.87383334500367,27.146644840234178,30.356862471214527,32.160935933590714,35.414619315479136,32.68651737753454,29.881192628256507,26.707425347265463,25.658480063240056,23.495260626572033,20.87829718738183,24.20634261994327,22.311742255504427,26.429919033849224,28.997745716855974,33.73849898943004,33.458180377981655,37.309082823103445,39.21002702408461,39.43460684404789,36.455420790920996,32.816097763888735,31.62958068322824,30.28671795498955,29.20328799678934,31.774801338952038,33.83364711783933,38.38102845528676,36.88872274888067,34.42518539023954,37.17025419347178,34.684312843044715,31.90915134070488,30.043150157426393,29.198382947549653,25.311445222775568,25.66698273315077,23.346038545349842,26.92000998468279,24.022954067832487,25.828127111902166,28.320730508104873,27.721877362247415,29.12033549597067,30.81887107235517,31.642455689001377,33.03746151366114,35.725900806167495,35.55111151017997,39.592856250791215,40.3535403815665,39.253498576199746,40.99476447632587,43.13385019638707,40.284801236525325,37.03155619920507,36.783030441684375,35.06944371849369,37.61072615562287,38.45705502825792,38.70979832692387,38.6276720769979,36.72647087757073,41.49984006415813,42.32674589736256,42.94422286423814,43.16391358054841,38.258389115868646,42.92315243236925,45.61150190824503,43.26901949765287,46.372308050889195,45.21488468555424,50.21319735360317,48.78238009071742,49.69602831286834,49.99757869284359,46.54180807868993,45.96192134521896,43.22862948502693,42.853164163972615,42.25766094851123,37.72990754470275,37.64861985456115,34.28275478597008,32.38690778698934,34.57629220712868,32.75438522092257,29.179175008021215,29.80930590203291,31.84661851631372,27.612712376108398,25.038819211111008,28.30738164379841,29.510532696683725,23.389158080072765,23.959609697750402,26.511338147513133,23.411708900827016,20.255408689933656,23.892174197678262,24.334093633142594,29.037615505677863,29.818493205321168,30.4764059192271,33.2437261313946,38.17104899623071,40.88583077825977,43.44911172233261,44.13076736993891,43.359250952015785,45.931460194474504,43.73402857051569,47.90133841839925,46.6056088557678,40.864452043675776,43.854415066988004,47.1122651837267,43.02761870801669,41.152778239404405,44.623581899447444,44.52208217365957,40.07099492678667,39.884908437921574,36.284176648536835,38.92168373458476,41.46403553129959,39.93359201864013,41.64477361473826,43.304355865338366,40.73944375442232,37.66630213937117,38.57703035838008,38.36506231218739,33.99965321055599,33.259461588098254,34.38381440300148,31.962019741166102,29.38124492586116,33.632357563905366,33.12911163933033,28.376947624392333,30.267775515602747,34.20188098858312,33.785583140244285,37.12831338610843,36.87578207180795,40.579396986232275,38.42145529113244,33.45702878567072,37.56148776994744,38.66444493052285,35.28863070340925,34.75771387654999,40.41684841073984,38.54639437818869,33.68227477565669,36.85248601781363,40.95104169247667,38.04709071451367,34.58447366590455,29.878833090917325,32.84059038387886,28.362094018542585,29.07141372635539,23.901044357219064,24.61267990214899,20.349461961551224,19.225346271060417,21.498789135583124,24.56957171137438,24.90612151483463,27.595981623134502,24.91093758576147,28.874310582280174,26.037284070132966,23.84094949507469,23.904849560227085,23.73243799774125,22.2425678196755,19.227487381991413,17.936899243032865,17.958280044918684,16.706315100599994,13.505930790780521,13.686092289748188,14.55100996325143,16.060564468802582,18.79213442422734,20.785825434543003],[18.275354641901323,19.20500252851878,21.80739050713915,18.56159409183238,23.919012511912015,20.081128233227503,22.57505347375343,24.450770753263026,22.038266700059978,24.757964892072682,25.553898157307604,27.338980110554175,29.88725660394673,27.49890729119279,31.397757957151438,33.768086571963096,33.79772894720635,37.80435218605278,40.50042762398678,43.534411152566534,46.58126595432489,50.49714749296608,51.27474120967262,50.8524114038945,48.49383146498887,44.145466372139325,42.64691742607455,38.625376843564474,38.57143187136344,37.488326145480826,38.75986962262977,38.454160061219945,40.58711760521642,44.72072968457602,43.742771464673844,42.85611553878506,42.245048291074326,44.0539042943077,44.49370589961795,50.3566529896374,47.992892422762125,47.898359107069055,52.30258892555859,52.70666067442263,54.74568737760126,54.22543017376235,58.33298517215235,56.85811470789466,52.90722297265418,57.83743819069665,59.7933474469553,58.882213567277326,60.93659215604334,55.57014391120682,58.85650003635884,61.89845573322019,58.42314976367133,56.628255703161855,61.108314370471746,62.08504321173148,57.526384316090024,57.15674589716693,54.32326231827608,56.226184583991135,54.79972707820313,50.99142837098357,47.38977737540681,43.91553392386725,40.96312767062681,37.69104952539553,36.95063657886455,38.19672598129692,40.13112640407762,44.40514118696278,43.73059815596231,49.72278801238566,49.762687364990555,51.796671756653815,51.70969876887684,53.58802495095604,51.67848424344845,52.1617582260685,49.59390807726471,50.99403434596992,48.24194465527836,46.361338148206386,48.01812525867258,47.56411510329372,47.16739956488353,48.67866868694598,45.955435098768966,47.71479525254941,43.81509459703004,41.37530334126644,37.010990469623714,35.840380528711194,31.98221677398416,35.13720366885349,32.76242691273925,33.11921293995491,37.116770078591315,36.664616854244834,39.91649176444103,38.5753608768775,43.06133500158473,38.69055841526359,41.28323164322388,40.96072867674835,36.68680528982116,35.970385987263235,31.358186582785,32.30103100979304,28.28222768055166,30.108133123404222,29.66108339353457,30.800382326047153,33.73752013050957,35.36442382774898,38.237597257338116,35.609634051488754,32.670435534186176,29.720553772216245,28.824020411078433,27.065405664449536,24.833477171896195,28.457128913844176,26.975823530046778,31.04950644281383,33.71576927517061,38.44384266946465,38.15791055146065,42.070264719388284,43.8824545123968,44.132550386157206,41.039771061141984,37.31352827378386,36.09485638835723,34.50198892436769,33.120976185584375,35.735958762082305,37.335093313810404,41.82773354893109,40.3350671104421,38.10657075004768,40.93331829398888,38.43740089353889,35.75674285427103,34.02457957225079,33.44227827524519,29.515144755556168,30.07822228484187,27.4259357223507,30.972786895112314,27.5845952257744,29.232797135484628,32.07134983670138,31.556117395801518,33.307875816982964,34.82745476164044,36.045648529834864,37.37429372136674,39.77639206083503,39.601707480838556,43.67086741528912,44.565513134580485,43.30768986493167,45.27989386027227,47.287120985558694,44.524508758977056,41.183028802591814,41.11450626627011,39.328677457078335,41.97313582592467,42.82377986696937,42.99879842636267,42.95261662550482,40.79894866381719,45.65275844354028,46.53742515745077,47.30883575042466,47.557985728773325,42.8041978227953,47.5266952099899,50.196583942869744,47.76403451087899,50.6852195994023,49.32144120628815,54.37294381513184,52.75241297146002,53.90312241527736,54.26743064141946,50.89859730975542,50.426807376724454,47.76214118274133,47.45478043994117,46.87367090760244,42.306802485171566,42.333270687601036,38.94751500457778,37.16002020751149,39.28969673267972,37.510268398557855,33.9623162311636,34.45388983852799,36.440080547160775,32.24688124577465,29.576301412375436,32.69752617580116,33.87180201542742,27.766659183385247,28.112406921455886,30.46816846499144,27.405064083186335,24.128280136500003,27.41413997290413,28.069095485060934,32.57550143377618,33.45721006587691,34.4434525639242,37.097816046801704,42.099173956621605,44.57086290599962,47.37182446825692,48.278638956734824,47.69657345122327,50.38410616295122,48.33149563217438,52.49430331442434,51.06529258095088,45.41411247349159,48.50560425497765,51.65641380347027,47.49588872628946,45.738984373831926,49.23467096524425,48.9305315773823,44.44949984317337,44.43588813497237,40.88439568721671,43.68041597090497,46.210035131268214,44.64122705242593,46.3881942204907,47.95018338673265,45.441927160365715,42.41099010873959,43.16502729140046,42.92017714771718,38.65054581630827,37.83055104736685,38.76014711822209,36.28143147226403,33.75711468825342,37.83602353804324,37.140212322455376,32.34448852793891,34.21919547400937,38.07670798641684,37.82082250906198,41.323834324834266,41.30095499457762,44.965699026675246,42.57905176717456,37.780083717649894,42.01574983590851,42.90944168008191,39.46829967630667,39.16145263595036,44.70701710665409,42.56801172981341,37.82127049288688,41.14661907316224,45.03663740894737,41.89102918522966,38.48641525848231,33.81457576225555,36.37352190974393,31.794999264468814,32.50101893166558,27.53469851495757,28.696783819286665,24.633112346121496,23.156749112258183,25.564751988019868,28.438662333130196,29.067328785036484,31.999943673281578,29.555863529616126,33.593983804788515,30.771910049636617,28.615667979276633,28.672146062271313,28.37418560544518,26.764866616773386,23.981969542069248,22.51328923122211,22.29463878578235,21.291279131474237,18.22756781108047,17.889687037616298,18.36265747927138,20.029223550596207,22.472434861694612,24.189038951524697],[14.658103856089394,16.086953180558563,19.61004402684068,17.087802667282215,23.04323711455267,20.196119760665365,23.48406811150512,25.72582826571219,24.331783832580232,27.44851019921729,28.873089839595206,30.469051532539137,32.68331906534602,30.802441242316643,35.03378920335875,37.04141800665165,36.78750708116812,41.088065661114314,43.767553644633644,46.52315381095052,49.702818770118796,53.37200945639599,54.26960852359301,53.60281558693802,51.06035220150449,46.87579774034483,45.08188897779529,41.14664723044772,41.3594517923593,40.22486597654327,42.34904565372738,41.49299993306799,43.984473119392874,48.23350710429222,46.858180033101576,45.90809584090721,44.81270300276284,46.50616065262953,46.59456986270391,52.141807933747195,49.84518151986315,50.35163381774075,54.731437287559814,54.74952175917839,56.71502678335712,55.80809352049168,59.927079561270126,58.66071084829525,54.37726919410372,58.96463570315746,61.17736591344565,60.2191661746003,62.56917442837934,57.339341841943025,60.778861348083694,64.00960855309023,60.68063228698987,59.10433300636025,63.666093711816856,64.61723794700721,60.320442970664956,60.35395328898281,57.71652961000396,59.72605753865176,57.96706823995586,54.11896183569544,50.893858034678004,47.47794929379729,44.71988457654949,41.66846131689362,40.98850324015994,42.59433501554287,44.451872294162264,48.53237402631473,47.685532284887124,53.769563953283374,53.32651137838337,55.432442465301385,54.95743091676539,56.510319591808134,54.2447800903339,54.300723315299365,51.47923338425718,52.45900602589946,49.80503617079952,48.340130773694334,50.461255641470295,50.14528487114193,50.20620097170314,52.03606051181024,49.62159807352622,51.78272985217183,47.9074436860596,45.353603564915915,40.854876931898445,40.070361212323554,36.06476906302498,38.67444491599894,35.93055099262589,35.86121016316025,39.71775694429185,38.4082561528489,41.80238877305582,39.65564096632314,43.66624270287181,38.97111257451765,40.992440743005794,40.273402504692505,35.80043957539491,35.65670533573329,31.090646719064857,32.735909199785134,29.269094162200354,31.26145096699717,31.738858796692035,32.72709987865359,36.140267810516214,37.598104364487114,41.13140594972706,38.713442299295565,35.77581410212853,32.67950933233696,31.15696166004147,29.032104758249798,26.42010227842491,29.157588168510635,26.85825554689626,31.002913885814472,33.22321744112391,38.15837905071378,37.16932640375528,40.93304053170481,43.07292251973601,43.77156570163439,40.68508760984029,37.360099227863735,35.43699600241745,34.65045046243176,33.73202788637941,36.69758821791275,38.600379470519904,43.3194735415752,42.25189069445081,39.79507808085977,42.69378732357346,40.50538493754611,37.595525920107676,35.88846817935042,34.860512864144084,31.11661075253335,31.12148461450214,29.109303525116804,32.300966970789695,29.312280203642867,31.638513822363368,34.16974355584993,33.76966011722099,34.81631788961495,36.7928352807474,37.10272762503346,38.40570668087866,41.45521304012656,40.874010797439,45.05893130527028,45.347917202891935,43.844383311326816,45.31355160237979,47.11746307864126,43.96104125608073,40.98687602782502,40.904946893390694,39.66035855154328,42.51583008241119,43.63846699875026,44.185438697712826,44.15999507549067,42.5986788839379,47.26108114727661,47.97708208072658,48.378461841304365,48.372330461596256,43.27129638885679,47.60162166496668,50.14033113126219,47.90983993372332,51.38430636461175,50.51418492427092,55.271787902912145,53.65489795308751,54.34996972202494,54.310701539625136,51.00121649838256,49.98054379390612,47.07153949732579,46.43165479716599,45.374324704455766,40.80934479194082,40.575739831569926,36.825880818669916,35.46813217824999,36.96020392809195,35.569869233462704,32.193627847048575,31.858109467739972,33.70120571937718,29.873568559366657,26.68515806838541,29.383662512088822,30.901828443133674,24.8310153869861,24.5080786463572,26.733281924004586,24.211399479248232,20.34593587068811,23.04180994056991,23.722536807408588,28.114087567334295,28.829010094816013,30.262221980786162,32.81717684673928,37.83206373880773,40.05265741058526,43.0641640852969,44.41832133672925,44.14563329158033,47.12899569941399,45.54608179389032,49.57993685718284,47.71530176561066,42.35621138625322,45.799236360195856,48.587232368912616,44.265656202029795,42.935403019471366,46.65068037948582,45.80842964048232,41.2820797443084,42.06060324392873,38.270121992700155,41.75004784837122,44.0417025107448,42.29875740199704,44.484737199768865,45.95093194807426,43.97158943329664,40.631080422711136,40.96283822263059,41.242725007876665,37.12502996277178,35.61886121253718,36.61990560213937,34.40343004233404,31.427760756478573,35.07719854951098,34.5977978045885,29.854669562301975,31.017904137321704,34.73695879846069,34.320011076757815,38.03713898538794,38.395787404367596,41.76251635351584,38.910877076204414,34.36684835894079,38.78588684040559,39.14987708048672,35.59949931942871,35.750840252680405,40.98969052101707,38.38032672342985,33.93196304627417,37.619095188890526,41.05100272279555,37.58566903341192,34.391347451944334,29.8523799101451,32.00422390473685,27.423256871638145,27.767438648305323,23.130513451880265,24.826206946451578,21.249489963623418,19.315284852056752,22.057270105236547,24.777414419934424,26.054222841025705,29.084807519324418,27.511684979378597,31.817914015650704,29.709414964955712,26.899772148279766,27.621795191726264,26.915117092371165,26.35034507900156,23.346360169843077,20.94828810728338,21.640682073039834,21.569855844128558,17.185202887609158,16.613956196735877,18.412434271191138,20.67919514514705,23.533277062073434,25.182289934707725],[9.977396757453779,11.907366893261711,15.849338949946903,14.67920703208506,20.4221907939521,17.794647094652387,21.5861042105011,23.58089168759824,23.10187533095847,26.737006687420582,28.471816397539907,29.559145871780423,31.796340141008365,30.660231013001066,34.86453024960157,36.4610366851133,36.32888389664191,40.87114876390096,43.88039207082805,46.18484085113694,49.633914044618095,53.035047874915186,54.249045897839665,53.62907459015013,50.774917789416676,46.762766321727256,44.553132806481166,40.6066576432117,40.68964732095251,39.22220941018337,41.97366028939146,40.424750096983686,43.072835559876886,47.48077376984599,45.87076236397714,45.11715942394509,43.49244022546564,45.453738522461954,45.43742902088525,50.660828825574676,48.76985399666624,49.63810958535601,53.879481091291616,53.7318434099871,55.869840628318364,54.82749890088057,58.88722284623229,57.51310896732893,53.03077678957824,57.42047261371325,59.56401646936202,58.472258507756464,60.9070541939531,55.76874027014023,59.12793917381188,62.5994120820393,59.52500567806261,57.93665418668197,62.484687516856475,63.641035813800876,59.603083004173094,59.82824230141893,57.25762468031696,59.612227378221604,57.66767194582606,53.67364180843534,50.98452778464649,47.452496880510886,45.16238005680371,42.12173022258206,41.761052505492366,43.75439738728544,45.206038500020696,49.166267723905335,47.85599333500367,53.87883640771433,53.017451539310905,54.959395181164005,54.18590542959363,55.54413585769469,52.873156419136386,52.73283627133003,49.55025978379043,50.39076685440365,47.99411641259471,46.70434092892283,49.26515793207471,48.77014368110827,49.405770530880886,51.22830283730408,49.22218215618044,51.71861657954858,47.8434503367855,45.07158341421878,40.551784587136154,40.09155408413861,36.076933180999276,37.92695147773585,34.84528421709571,34.2170270503687,38.06236417422964,36.01781081637874,39.669501151371634,36.93904096247189,40.751683962308036,35.94829911927361,37.521058926807505,36.78611251120827,32.26022503410789,32.25854986188948,27.893318729903765,30.195774211732008,27.196891153814445,29.64054451237883,30.80871572724765,32.0594503778509,35.742504312097914,37.45921415562,41.3668293964325,38.76503286941123,36.08182506569978,32.76613815120092,31.20285021125492,28.597309887795543,25.493344264222454,27.61317282075805,24.341571410059483,28.487822930133614,30.272262044640556,35.15284288101235,34.086175285088885,37.5349052419436,40.05547872051862,40.71239330051571,38.034296778777005,35.02690113177315,33.045529270249496,32.947104122129474,32.611800155169995,35.48562809078975,38.05745154436359,42.796486485930885,41.72763231100055,38.9613749017703,41.662772764187444,39.437176126441564,36.47615076633057,34.47442097207056,32.94745013589896,29.252501132595302,28.589643971823868,26.905936932960838,29.59235157892252,26.86938001414518,29.746534161164043,32.05523527059104,31.937976198220472,32.440524473332275,34.925529271913135,34.6726425205351,36.34331934824556,39.82981581307322,39.408165024889016,43.43051107434356,43.51697689925665,42.330096359228556,43.298873376822065,45.27203016374405,41.904406879837836,39.21400226503844,38.81894226112435,37.81780890168886,40.42035835920139,41.46442348826671,42.061104097921216,41.795795679132375,40.66253291891769,44.98110038867682,45.82838722897962,45.898331697689294,46.02507214268687,40.602256077854456,44.7905505487618,47.38273717776665,45.426049309286974,49.26827083795387,48.7967242421944,53.431484674344716,52.182226438993695,52.4327057870188,52.237654833120295,48.79410788802996,47.476193601977755,44.39084745392273,43.49536804028859,42.21924544277689,37.78339226129312,37.1241211016427,33.19068225820672,31.737216959364538,32.794968049078136,31.329472192166445,28.19324896678797,27.664234657691,29.15614491837563,25.379072200112088,22.434292172477882,24.749994872997807,26.024402881027203,20.063160904659714,19.672509017529475,21.70043480372103,19.18935042538447,15.383724083135695,18.055986259641497,18.948913116208978,23.166033959554074,24.42581152989102,25.603021542142123,27.964090781433182,33.03648820708831,35.270097514575745,38.28543388948935,39.51975177246774,39.3600516243575,42.361601680949,40.89921075354999,45.00338108823561,43.12035110960761,37.89910868110621,41.447209960192644,44.30966555029553,40.06192977328966,38.86575915642207,42.749205997048165,41.97320875741494,37.47673534242833,38.54333816128408,34.377967998586,37.857778404292816,39.92068335246315,37.8815111925166,40.108236840492,41.35601063131629,39.625653372330504,36.30169223527913,36.285551108888136,36.67916378686184,32.73652886190051,30.960695021362294,31.84247181312304,29.711533666534606,26.636824360920077,30.103825119708613,29.65047673841703,24.951792395917355,25.947026219399802,29.63999312244068,29.25184906461847,33.0169070815374,33.5223394673222,36.876895766795414,33.94224049397551,29.530048457329308,34.080861555728944,34.42057948983319,30.896321787209217,31.322468237249378,36.53024005716052,33.9759004264624,29.72031608810461,33.574487951912744,36.9602066943727,33.61731019211491,30.586120924872343,26.10596810123361,28.600840049294707,24.18580942427362,23.924314805427027,19.272041650730827,20.58037133341132,16.869609892577106,15.477126611949734,18.52411469587038,21.549093210636805,22.90828453665191,25.437759064477078,24.03768169836741,28.29822599653963,26.60101110760191,22.984775441999645,23.80067028137931,22.691170121730615,22.648689492374874,19.866997155507846,16.783774367784037,17.82784845590497,18.641529752790948,13.68923605124525,12.626267311978776,15.185960306141636,17.772480984796893,20.773096694085954,22.297115383455807],[11.684803453344642,13.310704524144047,17.439113066670576,15.739339636364008,21.8197575664792,20.281152272985086,24.033467465321742,26.64366968529537,26.20394748628958,29.43273615597901,31.43566493207516,32.94076370290144,34.628973592948036,33.2049967831449,37.707880825901775,39.341347245788,38.72883665106289,43.2248220904807,45.79945599516323,48.25813589706084,51.51137269004438,54.893105636195266,55.88577258004479,54.9699637334528,52.278656124022476,48.31060154539399,46.264398126935504,42.49347124652585,43.01345286553372,41.92148592519929,44.86638566622911,43.56979764758657,46.439661680859274,50.69632097740776,48.89736900642828,47.816080376680596,46.30989952832329,47.762228331946666,47.47342052890388,52.65283965570918,50.399132191414054,51.49534782252241,55.80688215065529,55.42696420576969,57.27861367860676,56.00030443973228,60.07907219629394,59.05004484487702,54.491590421519284,58.69811000910969,61.15625046692403,60.20082867322643,62.83343961844087,57.78926273992123,61.384865946418614,64.72673618523787,61.547227676958066,60.24926368783387,64.85263378725298,65.7236715105368,61.724514234129025,62.19305731904554,59.804191460255566,61.86337670274659,59.759998525848765,55.92727331996836,53.09366163909733,49.802015333448566,47.2436370532707,44.483975468775505,43.8491140227645,45.810859709772416,47.59178077601595,51.41349060458063,50.43900696157989,56.586035923158306,55.63568825515377,57.85703583628485,56.97695288033962,58.16283896856969,55.606411705058015,55.20287980390023,52.23388775916709,52.74074627161329,50.16202229136795,49.15874691770989,51.67620889336967,51.58431916894654,52.03447710528334,54.25105195963414,52.13310236920022,54.70011727320048,50.90950861325402,48.32187974723436,43.716189553489045,43.36696836664023,39.23564347032415,41.36700389689813,38.35627854803643,38.07576932697712,41.54378007115077,39.51894162411549,42.837191167285454,39.99637317938365,43.38578081664149,38.46760825847317,39.94682981880973,38.778177453476026,34.22015974029079,34.70260214086428,30.276158393213507,32.43919786080352,29.613434151947583,31.594263726637767,32.91891465529771,33.682350135415206,37.46320632030843,38.70323797555459,42.81449476730022,40.66924310219363,37.7801716176433,34.627860501380916,32.527358117125175,30.14094941984142,27.316357482285653,29.088670467830426,26.20539687429135,30.22687700432715,31.979412726003194,37.0079385075463,35.29996575268362,38.893950250014036,41.2429871457597,42.41951251006644,39.31042799107432,36.43151414896356,33.83704044112171,33.830704307469595,33.37256093454725,36.594357258356126,38.72929137258256,43.57718488201596,42.95130271483132,40.332124130918,43.262311559492105,41.45232650833335,38.37390572386003,36.79809270744093,35.42695863535862,32.025357074479636,31.62821917755251,30.40262196964471,33.32206417136108,31.009691784277482,33.73462750701325,35.7869742452749,35.344513455066995,35.698468927833176,37.94212191998999,37.34596360091864,38.46549592140215,42.058692296098386,41.02015398309768,45.26630010174647,44.92940134160686,43.178120363520584,44.14855539444307,45.70426468972056,42.232307173117384,39.66369091616915,39.59261572389088,38.90188773329503,41.94919268604554,43.35709307755195,44.29777297782328,44.37490841723473,43.41164821560683,47.873761022464286,48.317365475714844,48.38491451889364,48.04105055360386,42.740273385736174,46.58371779369172,48.92725620954062,46.88896776168068,50.82654381470567,50.43287297314474,54.82993921085123,53.191632759143125,53.4567149042699,53.02700171748924,49.83955622255709,48.316802657582606,45.230305459501025,44.29851452953966,42.81689478626955,38.32376624562175,37.90801011865447,33.90485210609907,33.064169215954166,33.98631046333843,33.10387588790052,29.908593060167348,28.73965285526085,30.549004351438544,27.237546382615093,23.44817216010298,25.770998688531087,27.83494430865707,21.937638190244165,20.8870144122543,23.115803152103066,21.39113723454971,16.890628424594283,18.90556923684976,19.329938599168564,23.766677876609034,23.89684909951182,25.791338287246973,28.373255453732426,33.26219782564906,35.43098548786352,38.44836974636176,40.224032661636514,40.14306690753514,43.36040127664327,42.19143808527004,45.99834611403094,43.74336870074502,38.66075908996514,42.36138255159441,44.735997997689694,40.28335618349484,39.339070915506,43.180884818537685,41.819530015112065,37.29394518423673,38.76988398653805,34.88411622888543,39.00642340381034,41.09186020951502,39.328127240095,41.94701629837695,43.43886689352039,41.952926366041154,38.28480728382047,38.37854209504688,39.2386735082613,35.24619407652623,33.140011234152475,34.39510852846848,32.548905713324864,29.11269815601418,32.34525822895852,32.27145805655911,27.734566715491614,28.045702721508622,31.59052050582867,30.83653550124609,34.63182427035214,35.218285455365226,38.20847278837077,35.02402796412274,30.66815532456382,35.10083680357421,34.96702992912579,31.344451885271386,31.79422934113952,36.691935996348974,33.68025477809416,29.48056521626952,33.40441073133393,36.402813265149476,32.684473715642376,29.66861184571261,25.305118794619972,27.03994672053263,22.510851834271573,22.60867195135261,18.34019456227761,20.600506781164054,17.752437234791515,15.250228856229024,18.162140121755883,20.58780303564828,22.46418680100031,25.55324025864521,24.915841955839753,29.37102640982325,28.01413002969457,24.872890021949473,26.3307971985873,25.419918845850134,25.97408145926045,22.67986192854397,19.729153742325952,21.471035079054317,21.96688436380562,16.694408350403673,16.3690947603611,19.40908018461998,21.866893844037378,24.993015686042135,26.622327663691106],[10.80668244586794,13.04873562195799,17.604242633513753,17.277161524127287,22.986334411528308,21.81082336716151,25.83553589486919,28.168418688461163,28.360167260757336,31.907942324924136,34.0194611674383,35.13299938375243,36.92452189606073,35.97547240806887,40.38582346273289,41.77460173994708,41.291056948809725,45.90491386815651,48.67511930711845,50.85254053015768,54.259256865967515,57.46179314112564,58.64548225215266,57.744279893389,54.87516718677663,51.0331977547596,48.73993247572911,44.989705777230654,45.42080876756029,44.096957218530505,47.38201107760302,45.629309616397585,48.52795513147884,52.898466934180135,50.998565832548394,50.09285358868212,48.22850117113002,49.887015382251654,49.52458395657165,54.43826664003358,52.47189685111124,53.83041163539909,58.03512665824107,57.51117754767886,59.447663695260324,58.04081190036361,62.0533235083147,61.00310027949006,56.30802150249464,60.30694412240122,62.747919790434544,61.682523252632606,64.39265113225157,59.46373036370802,62.98836260223137,66.49848459565379,63.5253411948186,62.23133017040848,66.80324747184626,67.81338648678933,64.01106601500948,64.60592041877848,62.258955153611524,64.53402254843617,62.326420145159645,58.41700339550433,55.92193554206278,52.56223172973722,50.28432800780356,47.51847474559379,47.06858370939996,49.19999321675445,50.75662964756731,54.52471842338572,53.2795051516887,59.35480201485162,58.18374538597535,60.26282236169876,59.215084687318914,60.28509064628792,57.4459707351585,56.90711603169536,53.6626489485997,54.058558277459795,51.708423754341716,50.847588794335806,53.677077634882984,53.43511706991369,54.291534006447506,56.4424650524089,54.600581187306446,57.330473424086044,53.531598152164115,50.79216871850009,46.22039620520685,46.00316874899261,41.9248520209346,43.56448271552344,40.35547569294334,39.58450299310847,43.14955433784311,40.57394508623024,44.13249077966358,40.833865094473744,44.0265354544619,39.05402061735892,40.04564324284499,38.82553125174041,34.261825388770525,34.94454875048532,30.802642049319132,33.544243908191625,31.166498663819098,33.448939611593175,35.247694922242516,36.159119527742625,40.08099954359048,41.451617672829755,45.76459588813268,43.535043997867994,40.80633855901432,37.554862141909894,35.434949433856,32.80329160002772,29.717973143066835,30.9941696127622,27.41331672630927,31.340244621292197,32.64300027298709,37.566259086226985,35.67231998503432,38.91178609259389,41.60767967856975,42.83968997307604,40.08546953471515,37.56362015580664,34.817088233637925,35.44607097092546,35.43012943904841,38.59156220411197,41.12128491684891,45.965237771974316,45.40908609672996,42.615188043008324,45.40340430233812,43.605228884433394,40.51135300075343,38.750223587619985,37.020055989143934,33.69250253991444,32.748984364153095,31.739119459593045,34.119379030428064,31.89111366471739,35.06356724878781,37.03833721995457,36.90791542308913,36.86371104012751,39.513230069556805,38.492997817749654,39.89626231010496,43.80608660616772,42.85397545472688,46.96561108125226,46.41573143467287,44.833595530536705,45.370654201642004,46.95256673693093,43.290900819546366,41.03915351468053,40.775732245853376,40.374826491319965,43.25207129704149,44.626722408345714,45.627670650773545,45.5080219433298,44.900266533025444,49.04069910116866,49.603289830930144,49.384133964249564,49.13460162117215,43.597413364082186,47.230375044134504,49.56694117530464,47.79022401308183,52.046248719791706,52.001382437480906,56.23596341579402,54.842690529125825,54.73601553292778,54.117420712998864,50.89105336662636,49.05015550242256,45.813658447690166,44.613280069261215,42.83841061590501,38.51639586829469,37.70199234556363,33.49502454362429,32.754396599301,33.03410000244883,32.23088172725607,29.407659280074213,27.77916164036716,29.114513828084,26.096793017555694,22.47988721245991,24.079597083563765,25.934647273715605,20.437617161942665,18.95675421991643,20.671380532816652,19.32938121971018,14.8636093137883,16.080036635250472,16.872158488170136,20.700133067128444,21.391127245882767,23.41586402842266,25.591257551986008,30.48779973586591,32.35849076534212,35.597228078995236,37.5528316106704,37.82819563594538,41.197101425869,40.408950390921056,44.19526698930082,41.722074822844135,37.00574968431974,40.928484534968476,43.16571016899431,38.74628821100888,38.16010166604433,42.19324026831638,40.624337387391094,36.16383816219719,38.245270805294275,34.02664627351643,38.3588051880031,40.11761348463064,38.020380534037145,40.78292202601137,41.95572016152702,40.90733281401696,37.25895359044869,36.79825037462517,37.88044394935817,34.229463280818294,31.67387881869943,32.68265853791283,31.006195243569326,27.47705552330042,30.185062091914386,30.08802660046243,25.729979479381907,25.590197992274025,28.895081616943354,28.234681127545244,32.17746818014763,33.18330306648974,35.978311288156604,32.44403132528041,28.531265908166954,33.144298208556364,32.65536374700989,29.049297667732187,30.092382689371803,34.66893505107167,31.40410975292515,27.699552621491662,31.9376885020442,34.525827756356,30.705536634542245,28.05358175614858,23.962311622694436,25.530688442710282,21.261809929671408,20.53155378260348,16.79587865171948,19.109159957392173,16.6826342859954,14.498203583205067,17.694996992799638,20.069778562863693,22.346031491572447,24.996033438071727,24.941384367874004,29.30461372162069,28.532588146343382,24.62809948309356,26.259648397529666,24.849368851554072,26.00088919968793,23.130441625216786,19.46069748065997,21.460819790190694,22.94592569770096,17.42246928929433,16.42754908683039,19.876739392763138,22.622209159525458,25.69094030353509,27.061144292117596],[9.735623064786314,11.078826023646796,15.28399096202885,14.627314982560241,20.289255372660612,20.12378739643375,24.079487057427578,26.925597952601493,27.38061166358678,30.597883618382184,33.08134623990269,34.470808135280826,35.61150955252923,34.67270779087546,39.3281877081483,40.56684028868074,39.64229627648982,44.258767865511274,46.74253358291866,48.852155898855685,52.16562303774368,55.22591255075129,56.33783812180453,55.228240540657396,52.384929205912115,48.675153001471315,46.37870344627356,42.805661121982936,43.57638433591224,42.523113947665166,46.219180764423655,44.51071001518088,47.71523821053019,51.923810923447036,49.728207436392275,48.53772066216637,46.649705268027134,47.867144371298124,47.23377499213709,51.98884570098362,49.83923995452929,51.48586330248516,55.67793898511361,54.94353313028818,56.70315937094359,55.100981086844996,59.113308184006016,58.27459612930886,53.49125780397346,57.31102339768415,59.95417537623153,58.99913044402963,61.86622622632929,57.02615529748199,60.72767349433169,64.17160319311196,61.16384641151356,60.119428425752005,64.73441305630882,65.54330009082128,61.85843929064162,62.731229785247635,60.59227771839984,62.71373760009163,60.298542294226536,56.49504371670888,54.098710785733054,50.93885983426478,48.64398490269224,46.17815303916783,45.63246807262484,47.93952549557372,49.57716404446597,53.11197972262914,51.980577202594034,58.126366678625736,56.677747079001904,58.98121902182131,57.70968122674611,58.52926293345885,55.71007498543376,54.87457099900874,51.79439663741861,51.844076789283655,49.37221808878803,48.81566554113529,51.688128720122336,51.803756514608125,52.63235295318211,55.197152036933275,53.39522014611279,56.3432080189014,52.67011958445288,50.074511895058336,45.41909363712894,45.505109139654095,41.30646118405381,42.947915506462365,39.73773955372548,39.319938085239464,42.30298011822132,39.661358125517644,42.80959199647547,39.37349215035572,42.104898341324414,37.056816419691316,38.018387394906675,36.43540892164377,31.888923574097802,32.966982164584714,28.779537843504485,31.352971789067215,29.22430534808261,31.146973015770453,33.24766528468312,33.82293760996781,37.86523648141074,38.933688852934395,43.52340640355773,41.61402090715868,38.856117718677496,35.690025913247815,33.15644794117495,30.547667321405687,27.579913410437925,28.372063049839703,24.999991659198226,28.756543241198514,30.005448075734503,35.006538084778605,32.66099904134511,36.03404708205773,38.54504246513988,40.13973747940535,37.070040470302956,34.67090789862488,31.527108204799443,32.29101516240423,32.33026782602357,35.68656283305365,38.08630371013252,42.95544922769079,42.70469049021373,39.94368246101006,42.82456614693991,41.37317672358986,38.19823058030506,36.75198078539306,35.079961216339996,32.0945143292053,31.352552233818987,30.934033866920753,33.57867319254439,32.0530009666534,35.000765135663364,36.50781738260311,35.985009105350514,35.67878965726886,38.09892035144431,36.655713373421236,37.57432457966536,41.620597671285374,40.20371568247887,44.419664591864056,43.5201118860505,41.6203074763032,42.08506776431814,43.44098246421027,39.7142763574249,37.5689744621877,37.46039066907723,37.29120965074602,40.42770412881857,42.064749405764715,43.354021016326584,43.52787423313399,43.143115980535974,47.361644518748086,47.53186296749025,47.28736581871856,46.632928269109286,41.216342474466195,44.55808112668584,46.697407559488724,44.86777797283058,49.19763991756203,49.260229660176286,53.288813646215324,51.6957537227458,51.53459289489179,50.75928718532135,47.68690395976926,45.71845346528459,42.49562309999703,41.302300463820686,39.45417368436588,35.08447320060989,34.48984544964747,30.31847278425983,29.974523499559083,30.381734092894646,30.01951398951093,27.038972058274734,25.10734550635036,26.922446530527697,24.203168550627808,19.867891292071786,21.843805017981712,24.525060332151316,18.962341116923465,17.229218383970515,19.563711226920688,18.77906023077011,13.79327644194454,15.128447972890838,15.012252920370894,19.620408657670342,18.874794084269595,21.13762994033758,23.846466410119472,28.534483125177545,30.778460866819373,33.66133878589241,35.74497049588947,35.72986189163404,39.09883807096161,38.24731869824094,41.80681675864396,39.25224856828591,34.39565075932837,38.26525041746686,40.270581840636595,35.73250729407366,35.10022489534402,39.00521895278493,37.24428590285734,32.754384016898534,34.796244604366336,30.870913285096442,35.51141941528855,37.40590662396167,35.696327768939184,38.684187014861564,40.26394867402124,39.19876728778871,35.248596852674446,35.23405099535174,36.63951549489521,32.7710168209616,30.190649027857358,31.788536393768588,30.35851415597955,26.53732773520684,29.39594639017518,29.824603926104395,25.62389435561067,25.095057579375446,28.442539609524818,27.25295462735976,30.980173391479195,31.640014823984288,34.24745061197078,30.888267705949062,26.64974399114523,30.961770455864624,30.4321111044983,26.782975353820145,27.379901918307795,31.962131036958667,28.68683487573052,24.66033482928533,28.716685521714712,31.383626085493376,27.516101325780102,24.63300662808669,20.4447252881357,21.906914956525057,17.481757594577463,17.35994914872675,13.417032476001653,16.148218996383335,14.220653874515534,11.216412332522436,14.117541139960222,16.191480587255697,18.573946067477387,21.58061038297372,21.869088025357723,26.321187692838496,25.727896307231347,22.427835759008076,24.573405663186794,23.594864167233514,25.214989750142305,21.700888876471495,18.5215444140372,21.247268356120472,22.064174567215403,16.400658823513552,16.584420597623932,20.512378066022357,22.865386281376395,26.080416074080343,27.71099788360018],[7.033262305131633,8.067578403139594,12.082150140161298,11.202255825275348,16.987940303219283,16.247772111955364,20.243688482779444,22.984087832259405,23.404709026230496,26.729932998606728,29.18613969734941,30.492548717802418,31.721951892047134,30.893238340410612,35.481489138800086,36.68755498835366,35.90599641240731,40.55888949303629,43.234363690446386,45.27658693564991,48.68770671387948,51.77069628632801,52.99082656658016,52.03699397649461,49.102513532897014,45.3506453576284,42.972577736131754,39.29536404129417,39.88288469370108,38.700600714708955,42.35356852951091,40.577219030407925,43.74853129654546,47.986144580296006,45.83097245604151,44.72748904506242,42.8229452942104,44.21680843701772,43.7155915230885,48.553706693584246,46.535702872855865,48.036386874637294,52.22193701333569,51.63220204559461,53.54600104038531,52.1000003044539,56.13428513634009,55.0914484010052,50.359594609823894,54.35077972628417,56.82433682504244,55.80465540977697,58.55208205106816,53.62062201828105,57.227131541058284,60.722123319985336,57.71626977248925,56.51955136574969,61.13833705474388,62.064912769309075,58.31930237400195,59.07273502856036,56.85415809012708,59.08940078987125,56.74411587615573,52.86520814207559,50.52462935949892,47.26091709695821,45.09023400004511,42.52239367270987,42.10459378468041,44.47859428206235,45.95021043123019,49.517967625745484,48.235991058340126,54.34626759220199,52.908599494150764,55.12753297281611,53.89012409583016,54.78217229983248,51.9491687834124,51.24240151067564,48.11598847870501,48.336455669887336,45.893868452767975,45.17238593596215,48.02202226078268,48.001438226438886,48.857426691414794,51.306698782216074,49.532827718227885,52.481900737750635,48.79222612103824,46.150502359754235,41.504673229707066,41.61301604257116,37.42677693399349,38.975879204580416,35.749383201181736,35.34999354006066,38.340456039153885,35.786764040900984,38.9674556082763,35.66633166920427,38.63606982900581,33.61898847370978,34.8182492812979,33.46308504937021,28.89491983396855,29.662868187410165,25.349097564226454,27.826784395406868,25.4965689476615,27.58915321594814,29.590911768668118,30.389184295925528,34.404112214952306,35.7278748235816,40.22906353262201,38.092563653996876,35.42803785964192,32.166673474133795,29.86942721987597,27.1231430426922,23.995161976008283,25.01999815333725,21.541232576641633,25.450724577617954,26.879912869643594,31.892096887048147,29.97607560437755,33.44033878916307,35.93579842314061,37.20351447307657,34.237667417929806,31.621411926684434,28.887672985422917,29.40958605195168,29.434338890978356,32.61568093861115,35.25051896147448,40.07878125711632,39.54738016807249,36.705488830032046,39.49458748924144,37.82268850111148,34.687086881852764,33.061815775862094,31.371360666354228,28.24777476054715,27.527598085343456,26.975882060816406,29.726766921726924,28.224298949225687,31.066921637053667,32.561360944892606,32.02253021581314,31.81151452495894,34.22769067614414,32.982765358520595,34.0774245003421,38.034163267235456,36.90365898511824,41.053873647747295,40.44112492845045,38.83453025954537,39.42388549667355,41.069604785541095,37.45367110623815,35.104039624235995,34.82559385054666,34.36693701745647,37.303273539315015,38.75802038299573,39.8655901778045,39.937490471919645,39.39776646822135,43.65620829874883,43.959672278075274,43.79517188530919,43.34039082502954,37.899735520325585,41.51982622986967,43.81739260550196,41.93567571534873,46.134289425135535,46.05973080802764,50.288281982189055,48.87023860570334,48.79606122238347,48.22955145491938,44.984648048260006,43.24895523836285,40.06162149023086,38.993191868077794,37.40080471055593,32.96009824604366,32.36516913495602,28.304559960483775,27.490347998656034,28.32682191988434,27.560689889761903,24.382953124928317,23.079625683005876,24.997138405579637,21.798329922232387,17.810513033424247,20.283839945278526,22.661012412819755,16.728865123815936,15.66762987066021,18.312510970311777,16.847285237292315,12.126199331139535,14.556809907118557,14.460489433707666,19.43025058502849,19.14570724352192,20.690012962338603,23.549642452847113,28.3792029840374,30.924590932262326,33.624757379325196,35.17614658085482,34.84293147670946,37.971411540208805,36.6765166009315,40.45533180032494,38.28738522547792,33.0768022614296,36.725496329492486,39.16924787889639,34.74737361532132,33.71102189970346,37.56106620280882,36.36307006695643,31.841679224019845,33.24085192105823,29.251037177681518,33.36276985161008,35.42792793730788,33.72292796081928,36.41376493109909,38.06401273645755,36.61010464216954,32.80054392963686,33.06478632674311,34.12407962101555,30.0520261176955,27.88075262699258,29.49656046000189,27.849448504660085,24.19842681695282,27.55328848881012,27.875246588284867,23.487089199325066,23.547275932826757,27.172065897394624,26.06748378756192,29.667592024864938,29.970779081003254,32.94181509470749,29.985741289442963,25.361665438371535,29.646025767762453,29.691578201533776,26.09173937273851,26.26589440611894,31.31869594313158,28.587378033061427,24.16157834239067,27.976123361250746,31.243533963663065,27.7781574151031,24.638614653146387,20.1529968814069,22.480288954587124,18.02627977979151,18.101528505278527,13.384306873694822,15.165491304822364,12.200553164234794,9.840017048762522,12.761129087602345,15.507578609913434,17.190841806630463,19.996857961393975,19.399568868077008,23.838802751303096,22.764983041395908,19.478925404286404,21.271606289434793,20.465499935747985,21.66001448268072,18.0397287180211,15.105443052560538,17.675888654156708,18.15034118544148,12.526250216595894,13.040450926102292,16.91274403028865,19.084318300893184,22.31536863362339,24.11514056540121],[9.7649429241888,10.323724847333335,13.880292338757064,11.59802696584421,17.7115576708502,16.95158608627066,20.641950974699284,23.731160675203792,23.581601530849845,26.527821562390248,28.9252154530808,30.651508400549492,31.704337535018222,30.375829860823522,35.10546235263507,36.54587879552777,35.54824519500622,40.0801548035604,42.4680883277137,44.80451357814524,48.025724472184834,51.260007173306356,52.24865072557499,51.19284945187222,48.465566881768375,44.61733088194747,42.505546610363226,38.86342392720147,39.64331898882016,38.7526945123072,42.135013594423114,40.811100881668196,43.98380025690974,48.097035161434945,46.00306693016897,44.68428680228178,43.115573595347286,44.214867601353816,43.70500641236526,48.746517608016084,46.3880757962688,47.73037164933507,52.019448592584666,51.48125312183476,53.23538885206964,51.82204652576808,55.90713660029772,54.992857964295986,50.355824566646504,54.45093358906508,57.03000203423107,56.15382372877787,58.894206002962946,53.903952108058185,57.629865070651064,60.93818796339571,57.74175249811431,56.62842382360977,61.27197019540191,62.00612098007039,58.11617016032845,58.82455195119622,56.6138110958005,58.59455161918351,56.29872403867976,52.527171830683294,49.85155805659528,46.707330137254495,44.214184191644605,41.71546972598112,41.05871382139322,43.259060101945394,45.02359973565988,48.615932036983686,47.65853932148229,53.85929542196623,52.603200704412686,55.002427749581564,53.8918632819035,54.845051785395725,52.27670208826583,51.62126197162632,48.77623736456297,49.00597819837957,46.330743349198585,45.56979820539494,48.1455458340243,48.34219437038799,48.81228230303756,51.394668713665965,49.35695986572879,52.168120452461494,48.498417180307115,46.02254578741899,41.33765171895673,41.3304867279503,37.084335360421996,39.12382936781648,36.08720014402415,36.13619268606617,39.012914556175886,36.91920081403712,39.849098943618756,36.90468033030681,39.92166455798977,34.95187337076426,36.48058087016194,35.06176993419263,30.529770204559515,31.26444544541845,26.76249050476346,28.72005883512849,26.071658006676262,27.76759038515642,29.38069774947594,29.905838575194643,33.82060027241813,34.87572726255321,39.26343984763007,37.332728784006314,34.4627017229546,31.3375290193956,28.90012836854476,26.44744566120707,23.65081384971211,25.02181719887841,22.30437927369566,26.21465161113547,27.988006161123536,33.08244630029018,31.12625577766788,34.87261843197434,37.036496272581125,38.41954489446613,35.06395201839684,32.21867153117234,29.41408621388643,29.44076054968588,29.04098515403659,32.38681928615176,34.52383853152993,39.39233145373406,38.948581459129606,36.308291529374266,39.28819158637928,37.728811191428626,34.57959510234385,33.23341476217526,31.895133778178888,28.786758695713786,28.581015529567964,27.91429636956486,31.10588033461011,29.529526642586784,32.01070888962925,33.56672868585974,32.73848428599838,32.84032237172412,34.871221276737415,33.91135024977716,34.633213395473014,38.3410379234908,36.96681245882788,41.282863265250995,40.71128737777902,38.78865509465818,39.72393890168474,41.191127766091796,37.699706161578916,35.151484102904405,35.15034921371974,34.566073951351164,37.77571323936115,39.36115302855641,40.51138727481483,40.825281021442756,40.040628228466126,44.5734389202873,44.69167063140223,44.75067949040726,44.09829209514108,38.90047178481788,42.566340546175766,44.785101833132124,42.68541837671417,46.65199388510344,46.323950403930255,50.59752990842925,48.855324577344454,49.08449108224508,48.58519037938573,45.46842969651837,43.91333209946469,40.85462311712419,39.97823291170686,38.53760388740151,33.98276374583405,33.77505682399854,29.875222062828126,29.209705265835105,30.43070410600571,29.794619918689428,26.39388050087867,25.2275428765815,27.504836425742997,24.30341176495098,20.056138895658286,22.904583246187066,25.5534356250829,19.53841655059328,18.567783782053535,21.41144372971997,19.935618214214152,15.204408034426052,17.682017861271863,17.353787038941597,22.494373820269434,21.60123604668126,23.35988427072039,26.427545399539646,31.13316037863151,33.756929765371325,36.3498638094936,38.00118430391534,37.53383474843187,40.63129251821847,39.23099803237846,42.90235846579043,40.74686028683315,35.420796965729366,38.95751201087195,41.29475026055232,36.80857835063742,35.655163524722845,39.337999269177836,38.0511631191477,33.5115162484186,34.66130885613476,31.042129272619473,35.19834632055952,37.469594478965526,36.07259840228264,38.76400270130896,40.64893371658901,39.00648238236751,35.132780973341156,35.74484664298392,36.76539277881567,32.51804423600281,30.563120415913247,32.35497857566152,30.668507953849996,27.05614787412967,30.583920566779298,30.947177460457322,26.5225746045053,26.69626707344093,30.35254652509104,29.16918098775951,32.692015068678614,32.82311952469783,35.76803559339514,32.92645132579527,28.165759121117702,32.274642853898435,32.345449442628045,28.74129346994136,28.608298940560516,33.66707046334161,30.907266974724784,26.29558417923449,29.903719699781192,33.21273283726709,29.664672320073816,26.361681453950148,21.8382626509196,23.84080865661357,19.22870873987028,19.97536649391081,15.289771074448613,17.437368193841888,14.65140540038762,11.75538369014909,14.267573773428131,16.65506942079742,18.24678350653308,21.5717515159694,20.84493928082105,25.34611850133402,23.946932497051073,21.441213988262817,23.22628773338341,22.805423943583687,23.642330359669923,19.707116761918876,17.381704838740866,19.73404740709448,19.443791525439792,14.112337627840457,15.082336790890556,18.55745653240563,20.538138574646002,23.797833582435548,25.725941836257764],[10.10203160844728,10.534998439914638,13.579177958316535,10.716814029627958,16.781368483439692,14.733452353607966,18.239715331554745,21.046151380448652,20.3574833660189,23.40175400648091,25.50361421237571,27.20834980861672,28.639471027198,27.16211784962344,31.743182379390287,33.354122966127875,32.65537220814508,37.152674107792414,39.7604455780466,42.1969696884112,45.474191032243624,48.870587116982804,49.90253870420066,49.077505060258346,46.344058908428714,42.34798290187611,40.28585822146671,36.46901871961803,36.95339181655132,35.92085386311425,38.88712615165396,37.69660051053983,40.66565666975372,44.83065227799549,42.96901803388325,41.79267685116657,40.38778005770126,41.76496937667974,41.53819572987743,46.827146528628774,44.55565549784213,45.51136650790192,49.83449940104684,49.57364293521823,51.49752985789677,50.36619695636202,54.471764338835115,53.30548558646278,48.83143381404891,53.21820358420104,55.55915379692221,54.623326497650545,57.15226797012438,52.01969492902897,55.60104691431888,58.89470692953162,55.646341360310686,54.294462356022024,58.913302488389775,59.78078354965295,55.7152153225923,56.136754796954726,53.74461778241057,55.80277463130747,53.711310036834575,49.86481518328348,47.04266655215698,43.742375432110386,41.23891299672095,38.50156654675182,37.92029260580541,40.010100696452234,41.69378936135432,45.45760138951338,44.43558214031189,50.60178614020611,49.58996506800419,51.86653130204944,50.97011620524465,52.156891834494715,49.69296761961472,49.34917199100255,46.51360070944386,47.10168755023264,44.4257977126237,43.31773317145557,45.7089426446887,45.67698217302307,46.00463267404357,48.30667851008811,46.15174647117413,48.7811661779355,45.03645500210783,42.51656788081386,37.866384798563914,37.66089209444701,33.45789465098172,35.65268865861636,32.7009277739682,32.819742391670104,35.94898988707983,34.22986216971275,37.27146037189222,34.73553448812699,38.23997122958426,33.409225655895156,35.33006379998459,34.305994900685036,29.81982899474936,30.01242360682532,25.387442365172316,27.052435906217994,23.918664407515276,25.784541930498982,26.891004426106356,27.717177024458092,31.45112117671471,32.82377818573308,36.87548283150296,34.62350283866533,31.781513544950315,28.58167599816653,26.60069366590069,24.15605745788286,21.31515749749245,23.405180274361438,20.893533497238842,24.976981861881793,27.093941267699094,32.116464265570194,30.830204293734408,34.65980046660238,36.73801649882752,37.65236867700375,34.43040144157486,31.23912136371472,29.074797618293804,28.568973912803763,27.935282861080882,31.006238973075785,33.21052414912682,37.998557763869144,37.13990136021159,34.51084167549611,37.409471631886966,35.48873752152213,32.441560807396336,30.872075159347556,29.66945901112446,26.25008128499139,26.230601237977467,25.025399013046748,28.409690089966706,26.45827471329288,28.721945321701018,30.54507427734284,29.76131682000799,30.277774087345975,32.216867241008956,31.85217206622366,32.83674441296605,36.22630083921359,35.29972244757441,39.53705027113251,39.46720903170433,37.88549944275124,39.12262361864503,40.90099047790045,37.64052675175755,34.78644503682534,34.65304259090126,33.60861754776636,36.56396871225524,37.86987425434363,38.691688714758534,38.85675438609763,37.67869371711088,42.322176275367234,42.694463963151954,42.9513005868909,42.625485509447316,37.48986948962625,41.572832951803534,43.99672296277109,41.795212858040436,45.46256151915725,44.83144907530637,49.406021951112045,47.80970998837746,48.282281672146446,48.099937478271045,44.81343570236148,43.6381678019874,40.686509767306354,40.01041969075845,38.922604422125644,34.342881087867255,34.179196182340675,30.482485370552926,29.25651270763645,30.94316728330055,29.78575813072085,26.24351668808522,25.880417743851755,28.116073436782482,24.40280120714419,20.82172540957797,23.977250447857582,26.046666936321436,19.849871422222677,19.62421699368806,22.459396944169256,20.21120445789031,16.089366378667435,19.295135221480447,19.26120848550181,24.339341836983394,24.17675051936766,25.348972026634986,28.349308922145642,33.171905853330514,35.908619626456385,38.44443390549081,39.623234437306664,38.96466836275639,41.82171899152038,40.02726733068555,43.930867041765815,42.17025295168334,36.59879182519121,39.89218514024613,42.666506666018286,38.34571241581047,36.83092764392026,40.43083450785697,39.70512443909398,35.18447711606841,35.69405545695049,32.05585888161034,35.55216997435481,37.972186934865675,36.53084890214456,38.81907653091749,40.658792003405374,38.59676504466907,35.010168239597704,35.80947385538586,36.33085467151682,31.961742439706217,30.521581100749113,32.11132906844842,30.113159032474375,26.86774258556844,30.801015577796836,30.852612480746686,26.240474174167705,27.15789009262268,31.000690951644053,30.094158253181792,33.52947986214796,33.42961485237725,36.73819881525952,34.235690453840455,29.289044789956026,33.39608011531551,33.980360337968655,30.46592353902298,30.07863808255656,35.47878764185847,33.17476174793504,28.371504084763163,31.75890336742471,35.50736780700998,32.29591239958809,28.87540337962903,24.216399190351908,26.79373096106395,22.241602855618172,23.004020971285065,17.96934997562139,19.313129344867203,15.675981967382409,13.663594848207996,16.072392711633267,18.90203670480108,19.814446751681217,22.85687665936731,21.149579834926527,25.489145871553557,23.428650897131725,21.022775685117686,22.140254512907934,21.86424586684734,21.8143641308861,18.054154924365104,16.137022505731128,17.72352611039436,16.969821530998058,12.16050401690919,13.071470627073515,15.837889724568766,17.65052873643319,20.8349050707377,22.878075703705306],[14.947865449936879,15.590393328290833,18.490872993674994,14.945785768152847,20.89662959792748,18.489984645004014,21.46174833154135,24.23978435501244,22.6399560577486,25.249212534813687,26.90147901758057,28.98029706707021,30.591546361652753,28.398365229777067,32.89574786375778,34.938747895414956,34.25149893054433,38.47989243891021,40.81493314472687,43.702166216978476,46.719272465249496,50.395384545559004,51.12331410281493,50.292092676324216,47.87742350711376,43.70554142697811,42.06591310677562,38.24779061374658,38.77389435203299,37.994232968849296,40.229290223538825,39.68781069642057,42.40232680130153,46.45059434895884,44.902467463669126,43.625872810407685,42.73069775568482,43.96370812452006,43.897875219828514,49.48947355606397,46.88998514768826,47.438039487995155,51.869804017687095,51.815349911334,53.5998500779091,52.63517019841053,56.778865682226204,55.681049837304755,51.42739570274371,56.007594662118464,58.36335964914897,57.560756998802574,59.974204748741116,54.7504008859395,58.35879067710927,61.42598652642563,57.9566691326799,56.57240143396627,61.17244287851109,61.88969156328789,57.5710253093866,57.74243601216561,55.24117167490201,57.00730202386762,55.14825273519011,51.425424937823685,48.06767217112847,44.8452677604613,41.89148208982067,39.078451044385254,38.19937532786077,39.84408608824136,41.91698688326824,45.850918980461955,45.261051893195535,51.450878186107616,50.918380077438414,53.28516421527533,52.73355980381178,54.162699483514714,52.078402460925304,51.992638232770375,49.45770503453633,50.25113999417982,47.375965358825994,46.05057565331433,48.01362620802372,48.05569777763711,47.85387735663782,50.043954370869365,47.49793999371462,49.73802280288229,45.96930131102272,43.623745759540824,39.037123310599206,38.42762918724215,34.28941322213194,37.19538618205893,34.57575646396498,35.07865334805229,38.39785851105765,37.35699352576962,40.2878085132427,38.314349518312675,42.08518844829091,37.402787366831696,39.66468889382137,38.74326004544001,34.332330290056326,34.328739898614906,29.617359089850428,30.772766956046375,27.219635373137667,28.73810640488541,29.09789838797453,29.734379840899773,33.136956136234154,34.284299617532554,37.88980104125544,35.76763317551936,32.690758227996916,29.721626189552435,27.89306680069882,25.96664064555008,23.646054112501194,26.39891348948709,24.761249285875895,28.796241672756803,31.24476873452646,36.23829159337409,35.09401089206884,39.10913597616048,40.90493045852868,41.794424782557286,38.316691924621594,34.87006692192038,32.82088705929261,31.70142312663006,30.51935129906744,33.62549990783974,35.165703217072014,39.90008168767079,39.00021363024813,36.68682952694761,39.739228528082386,37.79589908142593,34.84334497799386,33.49209688181114,32.743175019450454,29.22431080551291,29.719786630168024,28.039291353899394,31.716404293121254,29.26138299600169,31.14444798931822,33.32726649120004,32.43942711393882,33.515832970164645,35.06647546396229,35.32284736054722,36.10225009792142,39.03443086177084,38.07209898149212,42.399785696045114,42.57412120698767,40.76598872621817,42.450465345828654,44.07937727964411,41.031194037363285,37.944067489368514,38.08470443666076,36.808383949057685,39.92578052617046,41.240377093707004,41.94892063665627,42.249230856748326,40.64523306073594,45.53587254385821,45.896492960609145,46.444656496743036,46.09783969181016,41.24880507008236,45.480612017636034,47.879970348817615,45.470174615357784,48.78448835361184,47.78125287453806,52.47767469962819,50.575359969810314,51.460929045990106,51.43273033781619,48.2655001907152,47.36350728879659,44.57683359197969,44.106736539346144,43.19308217886689,38.552701147236476,38.690306248541546,35.13587276134495,33.9660403942572,35.87543822171935,34.71881641556137,31.093733895470937,30.854357687128676,33.18376955116646,29.4351929639186,25.844500790055786,29.048418307887054,31.0899306783603,24.89518802252288,24.649381022330182,27.36880334896825,25.031834791591432,20.949625234056228,23.942571949645966,24.05226160004688,28.990417739883878,28.768587776987093,30.219321161469036,33.187601992258585,38.01994424264072,40.60510143245965,43.2718099082808,44.60362604055333,44.00188094723319,46.88809765060523,45.09379440894752,48.968157085954324,47.179597480254486,41.60318302091263,44.8645876997593,47.56383377243989,43.19875150234237,41.66587316454427,45.16451035303279,44.335566499523225,39.81529677521126,40.21586306460889,36.83181784279223,40.323284737983485,42.85212889933145,41.53441959762808,43.76489047667758,45.63497692849708,43.44434307059739,39.92877415184824,40.81156611257705,41.19126435390172,36.79941206475668,35.51179940117756,36.98731101916826,34.870390139003334,31.77291588248437,35.71118412554246,35.57488178869842,30.88496303322842,31.970577761668725,35.791128589538985,35.02298877849082,38.529346093404115,38.49241176743609,41.81060409924662,39.24079666990702,34.35391777204866,38.46596397452776,38.974967980937464,35.43544579992232,35.05360295772317,40.38798110266821,37.93593705627048,33.14626651189943,36.50323641420834,40.146604001809116,36.76869046891368,33.3289909650098,28.71197233177272,30.852795450881352,26.215336524190885,27.24979203332537,22.431112491926857,24.176187127998492,20.719415309388044,18.40090390181533,20.688022727436078,23.189010124380133,24.174088201594422,27.534205050564662,25.80208779386093,30.117749446456177,27.780802404199655,25.856680952375342,26.772280758156963,26.616730434222497,26.061022844402704,22.442372463251356,20.818500318780046,21.847003716412008,20.76130543961173,16.579225391949365,17.170068925768827,19.11397810338053,20.878825632360563,23.83359982479936,25.796461589809674],[18.366830568592896,18.744198872280784,21.130021667170126,16.975593864379444,22.56818992116852,19.86435022079697,22.252192965886657,25.016589986618925,22.726558242181444,24.8332023502262,26.15701463539906,28.57635198198932,30.151333105471156,27.42835190812343,31.825703146334977,34.15526549885162,33.43192165752164,37.40262453123546,39.509317871782095,42.70232135123336,45.50690108708573,49.370154145830426,49.88087309077481,49.083089938602846,46.90617627596046,42.625261125179755,41.31121045652609,37.518113253225344,38.06563880650904,37.51836561148826,39.20332277905985,39.20215100591871,41.753033645314304,45.63378524400165,44.293956739016,42.903698837504116,42.43478532316886,43.504695757804804,43.57479000627954,49.384529329269135,46.55413968966824,46.746118081395835,51.23238499689974,51.36624443836568,53.061022412098936,52.279603852971576,56.430788210303426,55.34287249836866,51.31004203049227,56.06764132847118,58.37912848555704,57.68312498443448,59.964421740583,54.6766877498331,58.28328926847807,61.14461618243412,57.50736759237577,56.09640632682075,60.66226183061018,61.25761021713147,56.75315885034541,56.73123808936816,54.16923883431247,55.699948211613,54.02100097654875,50.41173912787645,46.679593009228455,43.543475447406216,40.28870858264604,37.463648685501994,36.37778347595567,37.717450749981595,40.04360024330665,44.04802653848075,43.780081361013615,49.958448824308554,49.755174708805114,52.20749172102409,51.900630638475455,53.49217615509662,51.736907743032965,51.852124181995755,49.60990286944832,50.566090803238474,47.52966445335629,46.02493299588123,47.611675102979454,47.74404728819722,47.102840709588385,49.24441160449822,46.41020037934466,48.3756216540621,44.63954485315338,42.480842782238305,37.96389432644259,37.12674503214622,33.05226778981073,36.49304696879037,34.18341429726424,35.1403987742714,38.38883612734447,37.964194367159415,40.65585349012949,39.213380613839334,43.154472295683085,38.65692193192377,41.286272487502494,40.48455528726223,36.20095289016777,35.97360697519215,31.20614222634335,31.808480139233026,27.92817898470722,29.111228697862163,28.83621093604373,29.334491857493795,32.410259391387505,33.4229317930774,36.6166611958344,34.583508435869696,31.384517612165503,28.627454024179738,26.994084574117153,25.489307915575196,23.623675300014327,26.897595873511946,26.05223666805972,29.979043465411713,32.73927737722675,37.639346585261784,36.75241568292456,40.93079668214537,42.41730016790494,43.19038138775868,39.52802440383162,35.835504434590796,34.05548726736349,32.34555350875988,30.72856076304022,33.73773766968696,34.79788714862421,39.409445127564226,38.39929191693636,36.3458162976301,39.46229750529888,37.489050448856204,34.65625661172812,33.49731594071135,33.1568872433704,29.637843012986973,30.639801225624424,28.697950683612934,32.694838846916255,30.114871723635734,31.498126198637845,33.78526635635087,32.68483412051858,34.193945938864495,35.31566089784314,36.082912108097865,36.64073306443054,39.13212846159645,38.186894306985366,42.53138127631059,42.97401199898467,41.08593454152137,43.16960949324365,44.7602629914427,41.97365507829055,38.653934342191924,38.95966163991767,37.40481222666462,40.56589801593457,41.838876747339526,42.421855518456745,42.857779357766795,40.892109626539344,45.98479582906356,46.29261629799779,47.11429832876758,46.75081036849708,42.214146983127485,46.59114654163578,48.98041655762053,46.38308778060058,49.319539558447914,47.97032535181274,52.782720499820286,50.687241351882314,51.94021869332719,52.11466199262945,49.02033197872829,48.44668893755524,45.84824764285891,45.61591453775535,44.97258075309687,40.3094786720295,40.73579063459666,37.420582132153726,36.17021351609095,38.4671621197717,37.23690127281134,33.48110969995639,33.58984247804819,36.100055702898835,32.246842825085515,28.758313903572592,32.21700430612167,34.23905374531269,28.027027301850104,28.017669935399226,30.835400400154736,28.335668472368333,24.434878877188293,27.607434915683623,27.64682449942716,32.66621785986069,32.307404140262015,33.68368896787028,36.75058828806535,41.53517798035764,44.22192375527106,46.786806755274554,48.00930372671323,47.24669131821437,50.01514871076266,48.0135272912813,51.87835351385686,50.251164488444154,44.53247287316704,47.611827699660026,50.38494684163788,46.060633735241474,44.328229693861196,47.65351543366461,46.98531732298914,42.49773120143823,42.487294152122374,39.38424501512132,42.625296296692746,45.324627360687785,44.21525113220097,46.28321350631318,48.29203406487429,45.83149830486782,42.40876292185244,43.59207369613354,43.77253927615288,39.26705913582691,38.31298977465894,39.83456348533985,37.620895860095295,34.698728137689635,38.83642830720891,38.64497648741161,33.93403081034422,35.285382128016245,39.16090743297146,38.41656139484072,41.82333559661027,41.5906040682162,44.996106376665665,42.628451986135154,37.608731594028534,41.58267883952562,42.28029864927658,38.78145154842338,38.126840478116314,43.55244347294705,41.25969824647341,36.31295690088772,39.444407188876156,43.250850776034035,39.9635551303964,36.406007234190405,31.765484913363323,33.90104608204657,29.26765768705425,30.64405068353724,25.777667395187624,27.439132759448896,23.908774485747703,21.62315490467164,23.640902790035888,26.029700602413303,26.72227981392791,30.186791155263297,28.11071609765183,32.2960958603369,29.578194797940114,28.261331456438374,28.931689475621656,29.081965521094006,28.03399315655769,24.412271122371042,23.37439533626123,24.017908386560165,22.29712491377276,18.83784896047904,19.661783772070724,20.9734164836808,22.387165778426898,25.125070787664345,27.14446516684314],[21.54594212470335,21.797839163342,23.763163690983127,19.366152436523432,24.481290024651376,21.293865211108322,23.10801387071997,25.611384025423344,22.670657284690122,24.362217108335102,25.21038626988156,27.806896878950447,29.529888090237137,26.382582189712544,30.50865238184974,33.115179005347954,32.537957449685486,36.223100681136586,38.23487755197952,41.67349122580463,44.31402586054631,48.3592645774505,48.72372495498921,48.06564986304017,46.083582215109296,41.69861393659084,40.66682150460111,36.86529875748953,37.27743960515677,36.83920077319652,37.864422203442075,38.33937580666278,40.62055208406073,44.36349961827867,43.31751424375325,41.9363036802495,41.862593255339924,42.93889229405841,43.23632278813677,49.24530132318727,46.322778347497234,46.084628346169744,50.58268780763865,50.97245222356136,52.66500702429904,52.1407690095693,56.2703490420337,55.089315700760636,51.31341914969198,56.27439523856604,58.437188664634235,57.792388382896014,59.87658912894673,54.525045714457995,58.03596463748763,60.72802266419076,56.979164032120266,55.4514868911478,59.94516955420055,60.5128558790501,55.826936081169215,55.52830720351166,52.84957370077683,54.233827303534525,52.80097716223971,49.26762705331079,45.212751149010494,42.093174702293894,38.629263993947816,35.697836649178086,34.49477883692213,35.494617499583555,37.96821876722304,42.09012761687284,42.04833645760933,48.14632946146651,48.32685881677567,50.75817834818002,50.74539042250399,52.55863282229996,51.100483121974996,51.50082175673312,49.482273300228016,50.70152276234716,47.58925631097272,45.82278954977741,47.04501941460674,47.12781073603951,46.109863114697745,48.04932189837167,44.96555993700042,46.60314941611384,42.88036161311344,40.8612308758968,36.47583735441362,35.346068001985884,31.41450080561413,35.30833050373799,33.32001820867593,34.60939684983312,37.89970167853762,38.08447952295451,40.63338583536456,39.746580794986585,43.94873451822406,39.68980840894545,42.65277726711096,42.08348624349197,37.95037204889508,37.395809833204844,32.64922647495181,32.79416958786897,28.613005019560852,29.61036655657606,28.67005440255793,29.190780921974884,31.865770008740736,32.903843961734765,35.56518227121524,33.477265816340655,30.254108091706218,27.693692504786007,26.484245035804406,25.357491862062105,23.881387004137803,27.69608075140464,27.455014969410513,31.266483034182734,34.27412586014113,39.00430335946226,38.52495731633544,42.769155552120495,44.03108420118805,44.55133494212431,40.8772113428484,36.96329136235541,35.611227607361876,33.381569760417506,31.42911907097723,34.194644916073955,34.929624482381364,39.345313515965664,38.09354246939355,36.26572552098488,39.34143690015477,37.21685888774153,34.567207929541695,33.46681329545199,33.47428132180364,29.90304899490284,31.290947315997094,28.977203965280616,33.15176272583104,30.344945623178045,31.25822418733352,33.719088375861794,32.53342933327598,34.50245168117963,35.274535986028305,36.63733177783316,37.155943889549434,39.171447459364266,38.447384368337445,42.70557704315393,43.528569974551395,41.75032009323422,44.17988161404999,45.84533901218525,43.338360765781665,39.80687788294374,40.16240929657931,38.282327870246576,41.322929992390556,42.437445749925956,42.79170684604188,43.243766013386356,40.890943453641704,46.09772223732374,46.48434832377882,47.559466736179616,47.329914667600555,43.07219141993918,47.65296536081463,50.09338743648365,47.36677744926907,49.91312196304809,48.22555151298052,53.194137629140805,51.04876707034182,52.62978036304699,53.05772231301747,49.97100762515761,49.75186622553369,47.33180831466452,47.31302026881327,46.955940318992944,42.31964493217002,42.915135434504315,39.82842668240145,38.36649739288798,40.98906006458684,39.56034610313683,35.743302701231606,36.27806236928585,38.83186607382124,34.81290655431173,31.623246847375373,35.23874025314266,37.05234466145881,30.862356912631448,31.15673595531878,33.976618917271544,31.214267291625223,27.615730477146332,30.9970962319475,31.090529013224764,36.095819756391535,35.88786548291156,37.075299573082006,40.150608820656956,44.93564119843337,47.69918535851771,50.19593481242804,51.21647616606677,50.32404702183393,52.946630525630034,50.72026465894113,54.64260573914362,53.234533904690046,47.39291593680397,50.284852482811424,53.22878530502211,48.99684531497362,47.05765971655822,50.248543089157856,49.8488618009611,45.404520802751804,44.98156115942901,42.040089071977306,44.90657304307664,47.724405388794814,46.7134166590676,48.53877926286783,50.58275350812065,47.84862001565414,44.615061090808915,46.000977721462036,45.89450985781866,41.3403219831714,40.74594319342246,42.192943799418714,39.84285378174722,37.17817512076719,41.493084680101745,41.15924108106578,36.43047428761278,38.13529837321771,42.05907668595309,41.42962255065365,44.745966414973694,44.35383898931685,47.90118220774291,45.744928348618124,40.63884854339873,44.52757119637627,45.46901345429159,42.028356055297735,41.18157061397665,46.729103865095524,44.649659950350475,39.59454873673813,42.54664738891448,46.54488240282347,43.404512699117895,39.771119685554766,35.10045269522255,37.37832525498763,32.773381341172396,34.283165385588866,29.323324687558113,30.75473371881631,27.02627863426148,24.981556705989135,26.85402072442406,29.278829556455246,29.670317418379575,33.06102657662807,30.571769252214416,34.56716163989029,31.483080509438697,30.542871919921478,30.84626878505774,31.19216137980298,29.58527780528863,26.166563012721387,25.595439129692203,25.730005282412247,23.574758332633166,20.907052735985456,21.73311138398091,22.328166655692176,23.413625312445383,25.8490069056679,27.845780091495868],[25.02299339478414,24.924488975482014,26.386910987857103,21.492839922751465,26.124292696845643,23.208524220000434,24.393992069576708,27.05829648083483,23.695282447357144,24.585268624397724,25.254197397146303,28.31146184194314,29.566587957248874,25.884111115442558,29.936734984363675,32.73837641456263,31.861069850139,35.172687132978155,36.69238536659921,40.43842646568536,42.73589813098164,46.89703685523189,46.94726236203494,46.20559478741064,44.54980797440359,40.14277997940082,39.52375653394633,35.904424563293915,36.5405452128438,36.53856501332943,37.14825403205793,38.26336669491531,40.50105648430329,43.916629071029604,42.95157276098203,41.29399438308028,41.69196313719221,42.323143449674475,42.62050063882917,48.735982338361445,45.47164060289929,44.978185064160705,49.49794328668514,49.97794580360062,51.44951477585315,51.03058499132926,55.135916976517386,54.10007258684747,50.558144031306334,55.58498437895952,57.79499195769279,57.335665340826196,59.34680683245699,54.012357860609946,57.59578748633007,59.996564106534706,56.063770066330925,54.66104707211188,59.10524910736199,59.41368773340132,54.60954123331143,54.24860905846655,51.636360890942484,52.64119170016038,51.309243264135695,47.99819418775432,43.57415206772782,40.71164924418855,36.88646664972068,34.168027591178415,32.64147958077716,33.33196883520662,36.17896185339139,40.204321937635726,40.64485580137714,46.72047027767811,47.13057033937457,49.77510907955574,49.91841411085174,51.76312439176717,50.69832447557345,51.15652734897113,49.56269439685308,50.76643434038525,47.440968294360594,45.6582784879846,46.47085967537709,46.851843308864346,45.32965654674407,47.431035399438166,44.06544634241763,45.49042104347251,41.918386423454365,40.230813776925,35.94265506713951,34.74774341404628,30.897129049945054,35.328193479146954,33.71875169359696,35.63611222770757,38.48946074801135,39.25300487867229,41.32062905189456,40.90733744502589,44.9995733111141,40.94251978393872,44.20060767590797,43.59056556518022,39.63955726442114,39.05702195018183,34.31718754400856,33.85453201289815,29.559709323710123,29.99287590159623,28.528016309986832,28.671255444808967,30.965823588238667,31.62785120693374,33.89478334651782,32.15842922957104,28.805872382784116,26.634281677858745,25.431698309135758,24.889058921188767,24.074426174651812,28.09171537762563,28.781039138049522,32.31784357237802,35.55207597317994,40.14909169895737,39.727031060004286,44.12959519946205,44.98589785578825,45.55246504598278,41.58872625555073,37.53411363613419,36.295677940503495,33.53510233314928,31.151352123288355,33.85403782700159,33.92315385981547,38.1487795907353,36.96023509931887,35.49430825363448,38.65997661785762,36.72783263160437,34.21237653085583,33.528168930797186,34.00950789777231,30.694077104599383,32.65031627903236,30.434321909539065,34.92762958393939,32.39693166543976,32.74148499913386,35.01279752168126,33.44548841496823,35.66826184608151,35.879043897204376,37.52520771418399,37.561343548553296,39.13968223373961,38.19032681544429,42.470391149602214,43.39068461667923,41.375212027010186,44.182846662363595,45.66463126676971,43.445695938163325,39.76065573836778,40.375477905582194,38.33581803739095,41.51723498314363,42.70809976655454,43.0726827233272,43.81125508910173,41.22525885453521,46.6195791805619,46.746329936394574,48.08244433315095,47.6315163788153,43.809222117178486,48.34277499851307,50.652500618635976,47.731285176265516,49.884991648818946,47.88968251520773,52.83099814200283,50.373612044125586,52.32769794432647,52.891821401075696,49.99500377818836,50.06557217554703,47.87779506542208,48.1064580856763,47.992891911892066,43.373811580084585,44.343549913262315,41.54294497897921,40.19015864766144,43.17231405031586,41.866797211467656,37.9295754787981,38.64255059395959,41.48011568144743,37.53048239879743,34.23233802413211,38.11245706350038,40.15191597633403,33.99264225720406,34.37216046981635,37.39322319492359,34.704169566816475,31.103624104117383,34.576393530512185,34.41576645016268,39.61913731621052,38.92822007076713,40.12504773441622,43.394199942286896,48.03590862508544,50.97853477626547,53.26829207624769,54.257275320840485,53.15268169483168,55.666053974979896,53.26937207450715,57.062540039302085,55.763552421768004,49.805865457889446,52.4957089547712,55.379814526686204,51.1749884437849,49.06813440813019,52.01682278578141,51.67951551357474,47.30689421432388,46.49789135839226,43.977464281505405,46.7055183869789,49.7028068912045,49.036600150592776,50.79634719474313,53.09877849398399,50.15730799072964,46.91161515338948,48.69938061841812,48.55835212373851,43.87186641035864,43.53492547732214,45.2114353573494,42.89466001385412,40.27401777970813,44.74383893306143,44.54485166947712,39.874016329122625,41.613538510180774,45.56696783298507,44.79332580929943,47.95862552168022,47.31399551122029,50.8343076559335,48.895819041243726,43.62857683207032,47.27470046204463,48.33392023529835,44.94095486914731,43.74269286686206,49.29928277213013,47.356631118554446,42.13605283113584,44.792276432260714,48.89821146075486,45.84953421690979,42.094884450641494,37.463022449356714,39.635055074416805,35.086146747503605,37.04194569182836,32.10898804624001,33.55660439377905,29.9748559663359,27.785308261443426,29.300070091315703,31.46721443828735,31.607289512326275,35.14575607260369,32.51299324151665,36.34665048933695,33.03397681058067,32.8914089008838,33.18041203808429,33.91816893949727,32.1393258058202,28.539124354961434,28.580908037471232,28.70773539633599,25.896413428774846,23.764835243863693,25.094803425012152,25.49945014510724,26.186564135036765,28.45802369616708,30.54471381888032],[25.53791683753284,25.34366487345499,26.348694614718,21.686617734520734,25.682552418020794,21.94857346913583,22.647520868842953,24.702636105568562,20.866916361746124,21.66410594390912,21.783476966414405,24.691925922601857,26.393549468195395,22.66467505772076,26.302341111778617,29.24938191970524,28.849129165530123,32.04457982994537,33.929721988980795,37.64094652444883,40.05420955361574,44.30681755375287,44.51877185660032,44.124650215822776,42.37858911651054,37.89241868908336,37.23831892883938,33.46444603604648,33.64361502768946,33.39717629176671,33.4829144230931,34.68435694458031,36.613479273481055,40.060104426432886,39.38643382954711,37.985881910026094,38.50652837782067,39.53992123759205,40.17936283023956,46.41178088028654,43.42668051925794,42.53861984935318,46.998258951279055,47.777578968886985,49.50304542593939,49.40407167995543,53.45762642578737,52.08302615600343,48.73198771370105,53.97908429688414,55.851334258444645,55.272588532744614,57.026583363615686,51.61898307460626,54.950322632749575,57.377031341924585,53.50165948143207,51.805542584510675,56.16438559123435,56.702328018235896,51.79528289860295,51.1148471145783,48.29980456392425,49.497511594822775,48.403051605784704,44.98410975419309,40.55312655763899,37.467062847068476,33.79004428200449,30.73689918248946,29.42060486029078,30.010669819908156,32.60411946620323,36.838994496964645,37.06294199598566,43.02212765589806,43.67324027844523,46.08409631416744,46.44605581185502,48.533833418370634,47.521581644728094,48.31925721171696,46.68388901016966,48.27006880183641,45.072502660295214,42.93334559648965,43.591864155732374,43.63210388357734,42.065155569389844,43.75677691301865,40.352126577677346,41.575603614139354,37.92533887269941,36.1610640020137,31.986387639790014,30.549849760042818,26.837910419000753,31.367139270483218,29.927223236141366,31.895312378663522,34.93789650912437,36.105735504107344,38.23715828592036,38.263539242787346,42.73275275964353,38.948716113990294,42.440792243171,42.238114893625685,38.46010706304442,37.39434658383825,32.79248287148427,32.10353206424848,27.576327420083583,28.19736551560907,26.218880015933266,26.791898269087696,28.760061909629677,29.91419040214973,31.704567453561616,29.487146821384417,26.33570460839816,24.109900780324967,23.684047769287936,23.146192395534875,22.342494764688933,26.869395020254565,27.648621871974136,31.11248140758367,34.459641821043874,38.78436557841733,39.025584868320806,43.306759428538236,44.15128722141232,44.21614993716082,40.59548879391804,36.38640735359544,35.84161867239615,32.81719381838199,30.427388501390524,32.65203759266474,32.99348304231797,36.99523555715069,35.29594716521052,33.80732735719697,36.71968536155931,34.365867193085684,32.06570423438678,31.081043206884868,31.663461827396674,28.169179567034774,30.22747516006288,27.544548461613612,32.00743847064141,29.23972517444078,29.214571212493503,31.67423167205452,30.215684313624262,32.82634579503517,32.92425894516743,35.165347021163626,35.54897000627769,36.758811831308705,36.42449599551319,40.44995637612001,41.892336306988504,40.413403742212545,43.338609166066604,45.18516141142484,43.18401499234324,39.358320564164934,39.715453234910214,37.304666666774665,40.03679831575758,40.85704238212763,40.839277733149494,41.34081564551895,38.426490481434385,43.75834078461462,44.20527517040814,45.677005606745844,45.63970122441804,41.91667984929515,46.757494786896615,49.254560955974235,46.35488350140818,48.230407879097754,46.03035519553487,51.20806320382828,49.08159878699328,51.13747988097018,51.99848343779029,48.916786531869455,49.30350735924122,47.2115554550119,47.558114732666255,47.726303349743226,43.21667681612461,44.08407434961627,41.47870616207911,39.65203601761826,42.867750117529994,41.14175470695924,37.25710753233488,38.57124783665251,41.23944039216005,37.029248920539125,34.386309641953254,38.30869205308009,39.839055556803935,33.80760054538477,34.6705165894293,37.58982834394168,34.495083327539234,31.4617626873267,35.26582348226948,35.27388609303983,40.34422559236439,40.21820842502383,40.93906318011489,44.093810874441424,48.77290490574243,51.810218020829055,54.01101848348838,54.56616027618456,53.32760335986169,55.60484703253511,52.916800023463296,56.87930838768518,55.94172978408749,49.87825254413484,52.341002515631025,55.59777436021274,51.60182027056358,49.24546567251235,52.13225932930901,52.31420231191274,48.003985994671126,46.74685636230608,44.14179688980979,46.23987058921595,49.259954668153696,48.50624247827899,49.87479241260345,52.05625602387686,48.82874793065472,45.92869380803337,47.79695222116263,47.23216454227414,42.59048199362094,42.68985659520487,44.14970518193856,41.66147860343295,39.4366987240928,44.08024978607019,43.6600951167768,39.02625584677758,41.26017889371664,45.24831971814255,44.68957586813537,47.705963408103266,46.888013931607745,50.63839551419994,49.010330251012846,43.70379161458439,47.29242951110899,48.75112447426749,45.479321588540266,44.15266855469467,49.90670503434174,48.35849506228832,43.08113603870551,45.58871810267686,50.00049674235903,47.26574529951081,43.48450580458184,38.791151023034494,41.480848034997656,37.00600912163403,38.77537352500067,33.611763581829635,34.47057334860431,30.461300315336185,28.92202883404313,30.41507381644752,32.908980148663765,32.64796173763993,35.770725157470125,32.52979151329455,36.06570388615222,32.39845253651399,32.25532311672237,31.972934907814185,32.788056878310634,30.363016628380976,27.226110379025734,27.667391796553623,27.141466303328475,24.074176970765894,22.8846403160042,24.073176625745226,23.68131237513097,23.977380281217297,25.87382643984365,27.913548261858427],[29.726251809286612,29.725114095241533,31.08651618065715,26.23930514603555,30.530056295977253,27.234583268049036,27.98440075549748,30.234583706123917,26.378465462786465,26.85888711682891,26.87778960539955,29.94174382509111,31.43815307622597,27.40205963569448,30.87580269180243,33.96197872307223,33.35155280424541,36.17471148801828,37.516958193853625,41.52634817034764,43.540665073930114,47.88496178377779,47.71588216910117,47.16397103635803,45.823154244904075,41.36225818024994,41.14496563502163,37.60462432068238,38.03840547199613,38.14806391454835,37.83305648104219,39.53740962069102,41.325070809428595,44.51418744720508,43.99914374953707,42.422333000748665,43.310716042539106,43.979219304489995,44.565447555004916,50.827199668237334,47.50228714213855,46.47280336071603,50.93819090134378,51.734729432867525,53.17310228964996,53.07212245450804,57.097993056689525,55.974654665819656,52.791131736451604,57.995260371447394,60.01184385157242,59.61599218455949,61.369734277478265,56.01591517015596,59.435178649993276,61.60403819715496,57.57450855896509,56.03052612150443,60.32720730209241,60.60144323214899,55.608206990117345,54.86434938459368,52.113793601133736,52.89536553977721,51.93842484083107,48.78541716594309,43.96503800924128,41.1855506686723,37.128734612401566,34.32083265580484,32.64686512481998,32.72952141778956,35.76721585996909,39.89412320769019,40.68452632773433,46.51829300669184,47.511132348182116,50.06529038680791,50.63711558929869,52.77340459413109,52.10238033031555,52.93122453710718,51.6051992904926,53.12641009728378,49.773517451327606,47.692589637832455,48.04997602079323,48.32893527639934,46.355011642726076,48.105399656518074,44.450431223377045,45.346756841730674,41.84693071133675,40.37907085495714,36.40154727939561,34.76755411118216,31.279769779966202,36.18135509707483,35.026054899379695,37.194878763250884,40.15389150018936,41.576467800910976,43.53268531611973,43.718885314347816,48.07511378921412,44.30926428516975,47.82072064865293,47.463661535335305,43.67060184235248,42.777942285871006,38.13540712533352,37.33814730946303,32.85736063920627,33.15700026376804,31.038808693553126,31.2197230075094,32.95207584609885,33.60873247135028,35.09458438968925,33.35940300733189,30.091165843263166,28.291993218857446,27.67944700395495,27.610882841510914,27.225608874267756,31.618667119403057,32.74591592856768,36.13670463931077,39.51050922234587,43.89291677134743,43.853071430164015,48.2482399392635,48.93103733806329,49.242460585016325,45.34379811148753,41.14816892949131,40.315773890397544,37.155774549844665,34.50898981033242,36.895432728678735,36.584871667562616,40.479854583071834,39.054285217829175,37.90436336035661,40.95053070159166,38.877560010361925,36.642951400370364,36.01653880400037,36.836599641677196,33.513294642174976,35.735204040703174,33.11793077607647,37.596534672701985,34.74032975918231,34.65305739686665,37.15855973500497,35.631095701646416,38.31578140191085,38.20808956587298,40.486196925542906,40.5480540628168,41.5837000927465,40.923631115667646,45.02306695920514,46.34847423688451,44.474799831510374,47.59330232019587,49.11510212862307,47.19253011134824,43.36520727062546,44.024583614125,41.70986686669973,44.71008591918857,45.70599094380632,45.80356142046061,46.51099596933947,43.5318261246671,48.944494270759506,49.20767650502306,50.79561112934902,50.53240924990496,47.02636366186778,51.72672467337507,54.07653229670258,51.065554984019634,52.79344465104132,50.452852379380865,55.50889986351364,53.01424403688743,55.309586270261654,56.1302849753394,53.277018495612396,53.694154367531056,51.692804711284154,52.10448070999004,52.23105257811884,47.673364027239785,48.74856212039619,46.12077490568251,44.592516337823916,47.754326692267306,46.26210722302458,42.33469148570741,43.34331759257142,46.12705689075188,42.04661930891337,39.0272105849264,42.92148601887684,44.71680768359779,38.595334228982374,39.1506712794153,42.07538975608044,39.167691915546655,35.79221716200684,39.32682752240233,39.31858624138908,44.41581270706274,43.98421865147532,45.09926832819062,48.302009271630396,52.98877808075658,55.90438331066064,58.22984170947784,59.10263630720931,57.9742973699449,60.40013878494346,57.87246030010898,61.730586103705356,60.58322872840104,54.575318552097954,57.14885646535317,60.16373941875631,56.03327105837099,53.809576841774614,56.67332182621089,56.5188531252545,52.18373483309972,51.12501888576162,48.69837501800143,51.134073760107825,54.18482295540566,53.536597248506105,55.08448176416643,57.33387135519699,54.20337881799371,51.16686395098422,53.0129827274898,52.60467860162199,47.95140407945259,47.87013661900158,49.37617019681965,46.92751625229618,44.55272943311789,49.08732764814514,48.68806242002943,43.99932058369078,46.025873046847536,49.98837843489491,49.38533425762085,52.53692001509051,51.8601369507465,55.49463203846402,53.64779710038572,48.38762541176287,52.034668440150135,53.231167690670844,49.867781842767265,48.63679042058258,54.25528412520307,52.406830686068474,47.169865683129075,49.763250729356365,53.94856823208324,50.9538790521966,47.18641911689003,42.5494872255376,44.75318704511176,40.210850374420076,42.163195287234075,37.2110017822272,38.570506930304376,34.851054831117494,32.82381139614613,34.346492266042375,36.5472680794086,36.57662788456298,40.04256368083088,37.17742682208008,40.855196005351665,37.32003431830077,37.32501053317585,37.2920023731998,38.06832725757582,35.83819348533224,32.57541954886281,32.80474587714741,32.46105356878903,29.564380418526618,28.007659406942075,29.071629617830684,28.876109508678613,29.392675763291695,31.307129278778483,33.23309034911081],[26.103592820834105,26.541730308758865,28.572846596440108,24.186069484708362,29.154183834709848,25.754655875439475,27.273638883544375,29.506084813150704,26.141504189598315,27.51616350686879,27.851614019561733,30.488091225705436,32.44166587117101,28.936232709327882,32.659991508542966,35.53941739899814,35.14329994216633,38.45858589727373,40.28103454607617,43.992102160197824,46.383388167119364,50.60513674975032,50.74602733538571,50.18407323261186,48.48958047755906,44.03781910273031,43.36252165867826,39.62164928437474,39.930247761946696,39.61128002239249,39.886403385730574,40.85989935413226,42.776211876842986,46.363608577802424,45.69013063903328,44.35461501696638,44.68826840829134,45.765459422858214,46.265920273667376,52.42167831183104,49.379060306312205,48.738374227116424,53.227474352578284,53.84631986662709,55.468838903975204,55.155356819643494,59.24710699676242,58.05330303193244,54.53530074989825,59.62884310010084,61.69888442008608,61.12689342770175,63.04066704054166,57.662756490856346,61.083261773752646,63.58588380323712,59.72945594880247,58.11295380404006,62.509202234177145,63.01796307321021,58.16024320130101,57.56625871982975,54.77457097445506,55.94338804725992,54.80509357689167,51.40713399165663,46.974029479330845,43.93402287052103,40.21207933738127,37.212197315189506,35.838166611194545,36.3207143947891,39.01844685688933,43.24397478330795,43.53879295034832,49.472492165115305,50.15218198681314,52.53384323907762,52.88088323064777,54.93680184279858,53.80265516780359,54.487518998038226,52.68405949809065,54.13558340415317,50.970143156058576,48.9852974133271,49.844737686378195,49.87163239902592,48.466004124993184,50.13955360774348,46.78905270087204,47.980754649677145,44.29490111184982,42.44526359705781,38.29058292438525,36.75947098074568,33.10057903027665,37.43103220869771,35.79634475032993,37.25336554786375,40.71773576571091,41.414354905960984,43.92033363394954,43.479041792979906,47.89820490172113,43.82081272210991,46.95978849952374,46.54435178871099,42.49199668754107,41.747995814631246,37.04427397659691,36.958233207717505,32.61550395414942,33.476602831333466,32.02438578903996,32.50597691288922,34.773758795446895,35.71864557376353,37.81099290019347,35.78722573430438,32.55529579297688,30.29480238536675,29.444616625366145,28.737672165974587,27.640419833324774,31.756673642131034,31.893190884585373,35.61897231016948,38.741055644696694,43.36252746184994,43.07793835810102,47.349541446566704,48.48424118095158,48.886440921737325,45.19186647157271,41.16678005449699,40.008867046434865,37.468191574259144,35.25470582814026,37.87663840404199,38.20564402359118,42.420473430698614,41.06095450906176,39.50430411657763,42.55460014389056,40.361801352441624,37.89679284709688,36.88370062984797,37.168402868871986,33.571244245854245,35.16895522681687,32.50844328832116,36.66352821891992,33.48243496365454,34.12036426807914,36.84809275407095,35.724208866616095,38.072955106554545,38.616802555676685,40.465094756134846,40.973253085737646,42.593543729942816,42.01212264908452,46.19148186663733,47.27453991475485,45.491892051783594,48.18353726865174,49.80439192892108,47.48944968728148,43.848249807483214,44.309487850216115,42.259748686550665,45.255540164511,46.27515391730814,46.46198939085338,46.91454388200636,44.25323096833348,49.506629878399046,49.986894284268764,51.25774368325169,51.13388800590476,47.09961427844926,51.79408852525034,54.24708254973896,51.4322277857787,53.681786154955795,51.7260954646654,56.77391828773222,54.51561380532997,56.38047111242234,56.965383382797214,53.94418995643048,53.95024662632681,51.65666567719936,51.76311052321061,51.535970376096856,46.91012574849736,47.610772793530366,44.60536498926008,43.093449878711056,45.79136456084437,44.27751939630523,40.468607548233884,41.11007444502244,43.6184055540836,39.53538289631463,36.4602562865391,40.03196626803362,41.70220481080988,35.52822756371448,35.843215960075696,38.538402468401316,35.66318887942733,32.153165991429006,35.44403778160782,35.698528259209375,40.56404387591726,40.52702071456711,41.79792452185038,44.79321442231785,49.62745941417892,52.27443927009404,54.88647511435896,55.94256890985376,55.113625485981096,57.739431573884474,55.50198121383879,59.45774010910336,58.07103722623472,52.23621915655672,55.110603210874515,58.07610742767697,53.848246441021914,51.89570872340913,55.052190494724194,54.65802205066003,50.22073037877716,49.73664348379158,46.868755669774714,49.65019345048761,52.4959971573413,51.47978434942836,53.21171283943484,55.192637200966885,52.376641538365625,49.263732574063965,50.619997799120675,50.35826720202775,45.850022765667106,45.35897942539759,46.640362337327254,44.191411274979984,41.67598206401596,45.968573313613625,45.45104814126422,40.68809611055764,42.54800643758103,46.45035016684711,45.97483532323701,49.348959110444646,49.02963614954266,52.62603698869004,50.42515252928496,45.38420794354063,49.32759184626911,50.257852952453,46.80612036375942,46.027544009700996,51.5630566783452,49.42267935272147,44.40717219482196,47.383457066448116,51.334421939133975,48.1245439272994,44.511370252780125,39.862317353802894,41.981160414522236,37.357735285811835,38.871119258462215,34.00257370882043,35.548475378072936,31.81745483856237,29.75127049424047,31.666866082352012,34.02482631898433,34.46343242340382,37.90425554357085,35.38139786584957,39.323941077062,36.12402346689005,35.266137782566474,35.38779542809169,35.70229883630339,33.798839795346915,30.641117074121503,30.093180731676515,29.87882500314771,27.773387453986086,25.442575932805003,25.937510094869353,26.070779597559568,27.12729185696552,29.279455352150418,31.0923841658859],[26.715102109438643,27.007381081219684,29.050348938337166,24.37741418919505,29.464861078370408,26.71867090399899,28.27108480028168,30.947295622028317,27.74926468837884,28.871180801416468,29.522855104055118,32.44331262315555,33.88504510696398,30.248813890797617,34.24298518844871,37.069751945048566,36.240506217586336,39.52587553852287,40.965358463669006,44.76435900388398,46.986231387543455,51.16059452403503,51.1166218047307,50.29855843518369,48.74436014399919,44.35586126535003,43.809210151361356,40.234722679311034,40.91665881424673,40.9037905876028,41.447824181956555,42.55426371198511,44.708604104851275,48.16256369483385,47.27488171371988,45.657746510151085,46.046554924832165,46.69335087000721,46.95561507801659,53.046329472290864,49.72251227005054,49.28248329571773,53.80859864121464,54.24658051170926,55.63519885952711,55.14008559034542,59.24859227515487,58.32148957110799,54.750469177173876,59.70299553889919,62.00804818145797,61.57497414726396,63.639908915694356,58.325161300876566,61.9399334311462,64.33629932005144,60.39022655181741,59.02102379666329,63.46415183056505,63.733713394280244,58.924574456380284,58.55326722077167,55.936706041395304,56.86772852802766,55.57488209068416,52.313620174757084,47.8076278997048,44.99591916397705,41.09256407722189,38.39198518244446,36.800090726432884,37.31555624281861,40.26411336111829,44.30159853686458,44.85873894620466,50.88493280388074,51.41702063517327,54.04141301512654,54.25175573831291,56.12577030178266,55.069785354300286,55.52069604035834,53.89054482613291,55.05948803208139,51.742326270332505,50.0049500730028,50.845163908957346,51.21530550471655,49.69223579581263,51.73362248505003,48.337010423365946,49.64911952845351,46.06885150794255,44.37603460331337,40.1459255423773,38.81383001578328,35.047838805847384,39.47687336938004,37.84319574654377,39.53477571814576,42.640783774643374,43.263462647347424,45.51436909821253,44.94317391226048,49.039299013202296,44.86661758284721,47.95874287166735,47.253790072898155,43.1801616687533,42.74796426454055,37.97852450732635,37.79746414374961,33.588912290565624,34.1219909416171,32.83318780885278,32.92556098901594,35.274809287050374,35.8029597386477,38.09040212198404,36.47787461521224,33.09805280140336,30.983969455152668,29.663156178767004,29.12436122746575,28.23669634070995,32.0674869328012,32.47779718670583,36.115046298081936,39.2296927519619,43.94972222866164,43.26508754648027,47.65352250604907,48.63724673494089,49.37787530917412,45.37301589918299,41.41795541508543,39.87538212315969,37.33913948494041,35.01510032667181,37.88970522018799,37.85768190452832,42.129498357587345,41.11591755828701,39.682328443518955,42.90481722219295,41.05543210303499,38.501046411541026,37.82295111429532,38.20338212989426,34.83854628614651,36.58865267482366,34.318264307918426,38.63795567661435,35.822702609815174,36.453650668480755,38.91653782903531,37.53646702864235,39.69831702104687,40.094768748622556,41.62865580144489,41.724198489992105,43.43565383899149,42.380138966131874,46.71515299412295,47.48379250819895,45.29571559331717,48.017710174792555,49.345519358507836,46.999284614572,43.41782725778564,44.117314853666805,42.25853304661417,45.56978469152106,46.852323268933446,47.29776710540064,48.01463595339735,45.506064394146534,50.86442391027641,51.01979653041318,52.286916339106334,51.80036676234142,47.86698265220888,52.32440953893756,54.59928347809079,51.71203347025628,54.005194005677815,52.09309694069529,56.961572320713145,54.40107474694195,56.30624748290967,56.74120569229585,53.90895045687535,53.80930801385547,51.54346459153856,51.66245329816263,51.347864834726856,46.68174210806472,47.583565389617654,44.58483637619667,43.422439834214096,46.112468340760906,44.93104221109183,41.053295475072595,41.389028610323386,44.12381335949458,40.2642206266451,36.74142807202706,40.39104593149847,42.49755255448424,36.29288763218699,36.344568501976006,39.20482140541234,36.65668144499113,32.80404654594187,35.92314103824535,35.91882063581003,40.956220039636406,40.30562785587047,41.8576546633755,45.01360948089955,49.728147451434964,52.406532784057994,54.94995474978752,56.2547227771536,55.40027350534455,58.1139271420115,55.98672166042264,59.76111830405913,58.20013223499358,52.39634858670192,55.31271054432685,58.00805840304553,53.67656447830983,51.81317557216822,54.89461839846127,54.20949090479053,49.782185058895244,49.417986187117016,46.78590093860439,49.89210884959711,52.7884079123337,51.98614416693836,53.938979595950464,56.12123844663515,53.40648866853517,50.06351649568593,51.55928459581121,51.57201239739028,46.97830443038914,46.32461619816032,47.87693311202836,45.577833627672874,42.82116400222951,47.069478408923935,46.794880353031594,42.06463247125349,43.594540310125076,47.47822341727597,46.76898136988692,50.138791081043685,49.79339185089602,53.21293452325206,50.937772945410536,45.85344491478021,49.69334017247086,50.42826236946154,46.93953085426674,46.07168670868848,51.466719905435156,49.162143054084076,44.12494624555971,47.042742333788475,50.84081734174003,47.50046791926226,43.86543070480235,39.29703695446136,41.056296072638574,36.44572235524731,38.259752928954,33.57474537376623,35.463158845893005,32.09585662556529,29.592842522386754,31.33799030515526,33.36884431570202,33.93840598959048,37.65512223884978,35.46613381298527,39.496618397537276,36.45033881341547,35.93417125121721,36.418956850566936,36.87387896459265,35.34171308333151,31.794154331646386,31.29761016669181,31.539467739650433,29.27088416109042,26.604950989970792,27.487707566899044,28.0980219234167,29.176673434273482,31.51472268649555,33.45205289518247],[21.834241345198016,22.541183483038875,25.253838105230816,21.210977329796933,26.89081549752162,24.253758475334138,26.60262661724816,29.28560937947284,26.800400308259178,28.772432724023645,29.84337469516863,32.30942909547414,34.0304283128917,31.05184893772561,35.293135574766445,37.80681659300501,37.12498984361702,40.90408482818583,42.81963809893934,46.226693675944915,48.84979635967132,52.82797107266125,53.14619507592179,52.313452419590924,50.3504902459908,46.02693056409118,44.95728468972317,41.223067449145915,41.80390956091067,41.3702194162197,42.66279418027523,42.95691414164834,45.321940564379936,49.13772577592212,47.99433152287869,46.59316097584451,46.35171972055956,47.36177580472148,47.4856112557096,53.37511925757523,50.39175701841673,50.42627316611254,54.93735829771174,55.14242665914733,56.72450708549313,55.98116249718547,60.13131200854782,59.134359874822145,55.20151877143063,59.979634253683386,62.33768665488599,61.71551959753164,63.96659555305125,58.67161510522941,62.28929375749022,65.03742905498538,61.31224283939078,59.90912640848891,64.44609896089848,64.95322244960593,60.350496259568494,60.20637376565991,57.60014713759107,58.952671341297396,57.41220783487665,53.90305448613711,49.89864988074243,46.8456638375758,43.35918242380058,40.52809984174317,39.27006131016058,40.27839341197452,42.83360588432171,46.90123421888673,46.90700671646357,53.03181742443038,53.1223691402244,55.59063007477892,55.48164030224715,57.19299416396537,55.61991197785879,55.84557935836086,53.72345785568311,54.74504167555082,51.64792958193482,50.08332134483551,51.48782693638247,51.64229581666247,50.7684232144485,52.81004974116453,49.79641466316886,51.504265476191996,47.777252618200315,45.716145679926186,41.304308670542916,40.21061524421521,36.26377935634668,39.99770634599985,37.858813039800545,38.849030337733396,42.27713949859428,42.060859391378166,44.785787643866875,43.494255316643894,47.51271693749867,43.04095264074541,45.676966386089845,44.866791047394145,40.569635492292676,40.36152479219958,35.59949010644381,36.18008609929493,32.25468594546199,33.33919805709822,32.849718482723176,33.23061599408216,36.12963234705476,36.95845504146415,39.90332487831856,38.01674976611813,34.73567787871137,32.17152902668568,30.593292296750906,29.37002108798904,27.746237054600453,31.10538940811733,30.43104842663025,34.33280463369104,37.10266968246108,42.0143596499833,41.037024938559824,45.23839953745518,46.69151632490598,47.54694207108692,43.796976770185154,40.099063871724184,38.212488047186234,36.42106350017672,34.643987485511126,37.71183338454934,38.4227290880662,42.97948064978229,42.04813171944871,40.17470913770611,43.35332614362279,41.43038608885563,38.653409716347504,37.60428303407229,37.39986928372963,33.86763633807474,34.93433060207398,32.81405431259608,36.75570721759011,33.86201456536875,35.23068852504692,37.73440692882796,36.71212973286698,38.392146073306506,39.447254698313365,40.394706280838385,40.90355554945448,43.253493868035406,42.25113647494142,46.620913806019374,47.08269376158834,45.02777170272955,47.22746906130659,48.66378795938941,45.909917775804146,42.58709273595608,43.04150220889044,41.50970936976351,44.77362323405195,46.087020368713254,46.66123194637846,47.133214413790284,45.050829580776444,50.1844158392364,50.50589028131495,51.40206821105164,51.01765044115988,46.56118388114763,50.92654081199719,53.27569033223038,50.6325853725824,53.488261962358514,52.03796334818083,56.837078994108765,54.57186064787337,55.962865791015766,56.129502519016086,53.13271303135995,52.57465761327203,50.009449970256576,49.79226392025469,49.09924939137048,44.41623473720391,44.89992121705771,41.53370162502126,40.42241423623107,42.59305203816389,41.44291945737886,37.72817973563873,37.63967251886625,40.08916626748065,36.306838394002405,32.70790077781165,35.99502342399171,38.02980583146891,31.837359731148375,31.602463193129754,34.25030071675839,31.838893674069006,27.818042752735344,30.653825225667347,30.84955295466053,35.67300932054286,35.34583197583518,37.03051347303189,39.98892021212401,44.8065823299996,47.256346893569386,50.027487119514255,51.49828206441342,50.92071306497138,53.81764830313473,51.99280763291835,55.827009906650446,54.03215320667063,48.43052888667649,51.63035955470076,54.25518144832555,49.853095838391425,48.27523954311166,51.634875572893556,50.72315618055178,46.224314457577144,46.45370097206955,43.37962196227481,46.828616810276614,49.48796406928973,48.33596615151047,50.49107032896534,52.422684684436845,50.06728096249754,46.63045550480446,47.64867811391524,47.87256290363439,43.4460270161549,42.34922436039185,43.7398448033191,41.51118187519827,38.571734681995345,42.53917311739478,42.2354432984922,37.493393584501,38.7505295402053,42.55003100667128,41.900579615382576,45.44999977697885,45.43563002177176,48.768152006532496,46.16840993848581,41.31279613803403,45.399357011125026,45.86171582730173,42.30813289402433,41.88049681752698,47.156849635864496,44.59256967184499,39.799620968439164,43.07710790345475,46.63278406194099,43.119777391345615,39.65930455103781,35.10697889139257,36.82437337517036,32.16905947396931,33.49916458031643,28.910862495477502,30.957444352770956,27.64980157970729,25.11435329589875,27.241842687696085,29.42687937727659,30.415413875150616,34.03661306031137,32.255216241191334,36.50846524357906,33.894469328986325,32.50349211073947,33.22391422946711,33.22689820859028,32.19114462270632,28.71161421919758,27.424822261480372,27.97321921909379,26.536930342086585,23.010350035237884,23.425373486777406,24.607235213947867,26.209044922083617,28.82998135405362,30.676004408602502],[21.67344661778642,21.522340154016472,23.375269385635914,18.456355025929923,23.702934295872694,21.89686976665583,23.751333337249832,27.06572110342792,24.577323449294262,25.81618482621681,27.297463487632903,30.320991617691426,31.07466859866945,27.841317606035805,32.437789202332866,34.85616080413903,33.50976699488509,37.193282445701726,38.60356727001325,42.081710940793144,44.496334706264555,48.38804301151629,48.51645963160536,47.41680738186609,45.58506351606725,41.35131288069759,40.43487092776687,36.92724816467401,37.99264118348785,38.04832324430921,39.69117604721975,40.2718506760394,43.009529205935294,46.53103726149459,45.04952591423142,43.19837447472144,43.11940847637541,43.45917977632813,43.29970388535427,49.12505437146154,45.78054327947084,45.990626215304935,50.52846624098157,50.548359093466125,51.86825005491728,50.98287063125791,55.137618027031486,54.4039605537038,50.48042057255421,55.15436907663907,57.72522928563057,57.2914727997816,59.66419930016342,54.4497169697769,58.29278487686394,60.845758476028806,56.995312268051876,55.907497846500966,60.48251643242367,60.67109721843488,56.133847113370386,56.28303019567837,53.93423730946478,54.98661254208931,53.224639380684756,49.89532070389388,45.85366128223276,43.10575951517721,39.44711191845115,37.04851440037457,35.551165624859905,36.73657745216412,39.52652377874113,43.28508544598078,43.57558902990209,49.82272233157784,49.63085682032496,52.45649287222532,52.12758117092194,53.56823721175422,52.165237699566234,52.0996294596094,50.33283830749492,51.01160625593074,47.67260700666223,46.391717791339275,47.664544443103985,48.336337464159854,47.22655528526764,49.82856100319159,46.75619379059165,48.689957731131834,45.154920255481755,43.370541195190974,38.85284226804965,38.149491131602375,34.03505092455156,37.95382329874655,35.92899828651453,37.58175275200004,40.169534571343725,40.13493671935615,42.20954616062442,41.02356134362789,44.57148320145698,40.15274940474599,42.97929359093359,41.87236571754337,37.72865457035525,37.77084282497972,32.9563744368322,32.955717849545536,29.115009262399898,29.52702131305078,29.016141289510035,28.852771059363437,31.748647478366284,32.092534240618,35.230666039067174,33.83077836275906,30.403949515631354,28.046510208992245,25.937885739527285,25.004242112091056,23.838317400864607,26.983421376776256,27.17747264708548,30.785385665470322,33.7283319608037,38.610668156210394,37.3866175485773,41.81019500249519,42.81756737027005,43.951956385614864,39.75622892910096,36.01661957291562,33.94706917665708,31.815496788076537,29.75350163378257,32.98123919819544,33.2114220728299,37.763568281308835,37.13979131485707,35.45390856644603,38.80760720499093,37.30649337621205,34.4812046350293,33.95661103466694,34.07140159147994,30.977555501609874,32.58442413294965,31.08106145133684,35.48694468790913,33.45792692539609,34.3536824398107,36.25642054253833,34.62125357469232,36.16301283279994,36.701175391132935,37.39611440073847,37.17997449161488,39.42776991926078,37.85296940425849,42.369268562262654,42.57948126471609,40.115086865810675,42.515434264715545,43.68758224363678,41.081644148537485,37.69099854894643,38.430745177038865,36.93849322480592,40.520422296574466,42.10733814596552,42.946851945301844,43.85437148503498,41.854687340925565,47.186882192071565,46.990040276480165,48.00721490248957,47.130088576036215,43.02792165935593,47.141352878656036,49.25900437567024,46.439546153956385,49.12104256768975,47.585936284980804,52.2100407926928,49.59706682494685,51.15994451267872,51.2929037902639,48.517415778850896,48.063920779579654,45.66982948779457,45.64670956357046,45.11856096921318,40.42640933484767,41.36002102582055,38.2975261630079,37.47494633411065,40.08297826767222,39.27507090610501,35.35427780301245,35.34033891847737,38.31901719562252,34.74935530362314,30.75565385517172,34.530843496951974,37.15892686753826,30.98560809529376,30.825569180909447,33.97602393650096,31.85841020128268,27.691931759443136,30.78137477547602,30.322427394722045,35.66781421046622,34.27190567223987,35.89854546130971,39.29162253498952,43.81150774348224,46.698012770179496,48.99032228298304,50.39469838010284,49.40918163923236,52.15068005312181,50.09477688129194,53.67600489663724,51.992529819341726,46.201148864973156,49.13365636804064,51.607366909041716,47.21401249001174,45.41127147011638,48.454889150430105,47.575333494457645,43.15587965739441,42.91430128168104,40.40086305134363,43.82380645997409,46.72497545143057,46.12012394336293,48.330130670489375,50.74846351895002,48.20165456908812,44.56332054776711,46.23230215335746,46.62964264310574,41.93941950138356,41.07520454648803,43.04803547896765,41.00763591957148,37.925919014360865,42.15253123843073,42.30564606831296,37.705199352157365,38.79332708451666,42.661224985460414,41.57296988148804,44.81457163557481,44.319658556855885,47.530508206532815,45.31184017411362,40.114856514443154,43.75319986460999,44.386067381171,40.90896375160361,39.83708345232672,45.13764468996558,42.83221342967434,37.7111674511247,40.50551716289188,44.27633025494314,40.96308648780113,37.26824803860892,32.73661844927506,34.45106968715238,29.878662630675766,31.98071108336363,27.311370420779813,29.29514839623106,26.26957937442938,23.439020829179398,24.913724446745746,26.732785313845387,27.30470704632379,31.182533723500303,29.29347720229632,33.414172807973564,30.643785779479114,30.374992122223414,31.370327879637657,32.01040200516151,31.14118671557411,27.022348765099217,26.622876655004255,27.64860222228651,25.180569864836666,21.964422714144455,23.61956116185767,25.11088386725159,26.15483486149674,28.89050695765531,31.080886281928027],[22.207649793691903,22.658516297742402,25.407429400001455,21.171599485723267,26.967060246226488,25.577218871321374,28.054222090768178,31.36644369584406,29.346575545548703,31.049953389624186,32.652066315982694,35.404235172465974,36.38249077388002,33.413722960639056,38.038083253532264,40.36745241314511,39.08000882202288,42.89121815317464,44.34123871003438,47.730170058879786,50.18661974253169,53.996806142108326,54.139547071166525,52.91795899363026,51.06195779289024,46.90214478677204,45.88594291103474,42.409725117985346,43.526807189668325,43.458813684317676,45.33212884800695,45.630654284842606,48.389267806574836,52.05944485253778,50.5300268522197,48.762476967597046,48.44783843059992,48.87227826455342,48.585997579995585,54.263027118869104,50.96103233067513,51.44569069223795,55.971069787326805,55.82063328888176,57.08261059818018,55.98533020884489,60.140783853120794,59.54973116415426,55.457360429818,59.9262524392188,62.655010306956726,62.20332257018563,64.73075867567852,59.580246143130935,63.48107097640677,66.14100435996396,62.36240466970685,61.34853091264081,65.95507596618152,66.15195995753302,61.71456246282782,61.98435713124531,59.67002935599574,60.77130512506373,58.92647325010765,55.5809701257481,51.64327005271152,48.8922870891403,45.286423805705525,42.89311052058154,41.42302943305447,42.607168382799074,45.394673586550866,49.1593266807064,49.398740078378715,55.64900001524773,55.38952628279698,58.17267275553766,57.76593144640221,59.13915658018105,57.55893236640203,57.35419541493557,55.39208413167693,55.918483881434604,52.665335644746314,51.553055489291786,53.065301526998724,53.69832939031733,52.82075423770099,55.41650489512324,52.452695757169295,54.43963551252582,50.85412795363722,48.95157137039278,44.41439446508464,43.6810494174065,39.56966581141294,43.26282903422134,41.043025642172275,42.24992982632735,45.14174117505182,44.639233546282334,47.024352705901585,45.38174279389934,48.80637647276569,44.168095570210916,46.587117684344975,45.27760476205645,40.955755096648005,41.32692441670452,36.545145902596744,37.13015733336401,33.576579710960445,34.242386065912825,34.224184413578264,34.07082243812776,37.18889326132758,37.45175157614841,40.84387622593304,39.52276425863851,36.10649303711131,33.68671163425828,31.368300138952346,30.242102678735815,28.79853323785053,31.474001995389976,30.991780115258365,34.71402960559596,37.328592059956755,42.3688537424001,40.658497139474555,44.95074673287346,46.252330275140146,47.69378165493761,43.541074028697224,40.08578108993223,37.49275963679789,35.96117970633317,34.20564622454908,37.6735178610165,38.02451892387422,42.68985779333712,42.342378780715144,40.55790926256578,43.94747379081615,42.56816713763972,39.63369356422153,39.0302244077356,38.837939601381976,35.70293529207711,36.84631531370157,35.42258020399769,39.48972642058901,37.22531356772266,38.66923147732708,40.723978644000184,39.38189473098822,40.64278182144411,41.588276799195484,41.88791582049823,41.82500327657314,44.451322135996406,42.722976099650936,47.29451988447628,47.15915670525706,44.51172476793775,46.5774344514708,47.54911390390683,44.650523194178184,41.54807307911145,42.31744268067958,41.22017434229186,44.93833167790651,46.67034556410849,47.68847091738282,48.51816198769686,46.807559553927334,52.00081194991817,51.839204897711774,52.627066745441475,51.68652813534451,47.308325398503825,51.21172283727499,53.26459730228946,50.59403409901671,53.64817882650329,52.41410140790484,56.861943514430365,54.217654522478796,55.50608907266948,55.34751242372824,52.63906608038075,51.78131344328975,49.201902196930384,48.91159899914308,47.97446107689761,43.27472257723437,43.984568942633665,40.579791238987774,40.10513798119199,42.111165379121985,41.565058385809635,37.82629558582317,37.10897705748775,39.86226810533653,36.559235586290306,32.21783018664943,35.50690277277208,38.28200333930425,32.172145489368724,31.414245569738423,34.27810513988413,32.549086200413434,27.9867828516533,30.386224629295707,30.106026563527156,35.1308828403487,33.705492225911485,35.90274784142549,39.0844498498947,43.63681837486927,46.10433747880739,48.7438744077057,50.66417622165492,50.09260556314067,53.15088176027095,51.59037388312946,55.08934145778975,52.96003238239454,47.5025198676123,50.8038327759771,52.92386149204728,48.362370616785405,47.01849393328406,50.287176048258274,48.82160599906831,44.35665091185262,44.94526416163275,42.20469621539683,46.26154263399387,48.92350987659728,48.07843823051194,50.63560714261611,52.84613941469221,50.75959740754869,46.94679564239845,48.104536142967504,48.841221289212164,44.35384587372313,42.91144237032435,44.73386873265521,42.81584632236467,39.47409745211522,43.255479633516906,43.39207728080515,38.7970549665979,39.39869503379881,43.091081134387395,42.03136727014431,45.54480740971999,45.53306546233593,48.497444168835266,45.746075177516275,40.91086096014156,44.80165972634681,44.863318071454316,41.27327364286831,40.77356135006569,45.718793249002836,42.835626580099,38.10354206309754,41.31790372795398,44.51580281177393,40.76416278114132,37.33487007649353,32.98883864212057,34.01679520315645,29.424779549959748,31.195495495359733,27.046202567982597,29.732061186889723,27.20658533646679,23.90995933508895,25.735854991309264,27.288867774028667,28.619922956044856,32.656028244854255,31.61441679493827,35.9881668394633,33.80234204758553,32.83652386276035,34.21943031706859,34.38333642237466,34.09453431640287,30.06710786385355,28.781800620345773,30.147293234106677,28.605114954547812,24.520781449777274,25.540335154085117,27.549345253182032,29.173568398001734,32.06704195147907,34.042153423936654],[22.40541325495639,23.283147853224314,26.54676332755673,22.888789829739217,28.904845977269552,27.58406577345282,30.414463220140522,33.604065419042904,31.86153715069699,33.91354975899469,35.54324412508677,38.05388636209026,39.274381861661034,36.52654682482034,41.12651972760518,43.39175021035457,42.24494780158506,46.171913764334015,47.77585630470043,51.066112882530895,53.6232423912407,57.388140655209945,57.618044827851534,56.39764684866491,54.455353735339266,50.31960789995511,49.173699860526256,45.656154018025376,46.69990951364947,46.45829474547238,48.456418462680816,48.50368095306256,51.23729748515329,55.045451588566884,53.5165774698078,51.879263755718505,51.37058490498667,51.976609701281376,51.67225942293096,57.26858973003477,54.09365194118841,54.71222652050055,59.22127973849894,59.00624438673389,60.31595352600576,59.13345697898196,63.28652476713727,62.69527348856661,58.49575520668019,62.87534040872668,65.62971356517963,65.1121234746445,67.70059900533292,62.5721655426551,66.45172192364028,69.22801667202313,65.53303307099861,64.49230676005504,69.11218151209755,69.3968816595321,65.01863730374701,65.31730983744832,62.97846652081103,64.20208583381276,62.329748982854625,58.91789707973066,55.095064792595366,52.26419534212602,48.76190841770027,46.289166392919185,44.909280712153596,46.12960331707274,48.82831594154791,52.644254258778446,52.74733889186214,58.988499305484694,58.687902470893015,61.37691814552907,60.93156731848802,62.29768653603947,60.555860193494624,60.31425397553298,58.15888192583771,58.66108643269062,55.516532564710914,54.44693378053388,56.142133661118585,56.6498649125009,55.984010981902195,58.489049645085124,55.62921762546919,57.65312622616766,54.00518889468425,51.97345803926833,47.42960063708793,46.66300594345954,42.564177821014525,46.0494370900459,43.685609478825015,44.53927484444711,47.69000013268358,46.87619067018529,49.52491498390313,47.60423125008478,51.02543221872489,46.27718291968293,48.43407207418269,47.083943024550436,42.66659362203708,43.155411759525926,38.433463656819,39.42187144743505,36.023526534023766,36.94628934264768,37.20293271319358,37.17469973299352,40.4288790923847,40.78414276746853,44.30863514704,42.90111295273296,39.52949431541449,37.00432023700808,34.67613732043152,33.36059936171701,31.673532844444182,34.14433619046473,33.153856324527595,36.96179312163455,39.36045946037812,44.455085827191944,42.571308906199704,46.721647671682625,48.268379449305606,49.78980137869473,45.783612201171856,42.49536922926152,39.712410615944655,38.567020327263236,37.05033580284718,40.57706951767324,41.15111073792921,45.879537805557774,45.585742899311796,43.681522174964535,47.03889838817457,45.62803435800164,42.642536933376086,41.88349738192459,41.4576661294868,38.240345122864596,39.04007509124734,37.59215010548472,41.38469987059036,38.924360265147705,40.72600721183234,42.90991391472981,41.81642699876302,42.92133728332308,44.17373810910898,44.28517085664541,44.445013016289,47.29973968011643,45.62042829838547,50.17896897817467,49.91677186766708,47.302047315464975,49.13105230815195,50.08731063891699,47.012157990909124,44.079055618784906,44.77050232749129,43.85951864335421,47.55039045666475,49.28861897744882,50.344439866041284,51.04133698813496,49.48923159042608,54.554145383751894,54.508013757974794,55.13772146368331,54.26785650527539,49.673640094607244,53.50916262951513,55.578595035388574,53.03704414075199,56.327909060462154,55.28749434729824,59.678786936668885,57.13032463471661,58.21165084831304,57.912463886250286,55.17695254802107,54.08778146160126,51.377542683021346,50.904696327764256,49.73310564538401,45.06120132756318,45.54226356663605,41.925163771068064,41.55184075948101,43.1553353901694,42.67040919104528,39.094275687145846,38.02758576597221,40.534412351725265,37.35642196441076,32.97614992926804,35.88621464685406,38.59103744198831,32.58839906361125,31.527503768514027,34.1135791505605,32.564267277880134,27.900244110136697,29.853189227290155,29.79010243349409,34.47749957279947,33.27819177490426,35.73422691246785,38.68520077977304,43.27337178030075,45.43048424019705,48.31827410760926,50.489854327725325,50.21091633589733,53.43905544787577,52.17977540501272,55.67423828475023,53.31622420832539,48.0949671329278,51.61405033354125,53.59055275205666,48.97514471880167,47.910134550852064,51.34508610453611,49.61057253373876,45.133519766665245,46.22279684430815,43.250676387610355,47.58634177694887,50.06145119563017,48.983747799898104,51.68856448213879,53.68751602623805,51.88569259029036,48.042617228866334,48.810837102320235,49.689238543322396,45.38140588014759,43.6116496322987,45.24552808704431,43.37923625781196,39.9527045942276,43.425440072194206,43.483018091112584,38.916546480248215,39.27759953533747,42.83158269723627,41.86860789636519,45.54566776016432,45.86669439203033,48.70908343510693,45.6374838039932,41.08980488794668,45.162889241944995,44.909968581322296,41.27923847114767,41.202162515910025,45.93269748596492,42.73992402425187,38.31465320153555,41.81245224495213,44.6671550648603,40.69781719205435,37.48631400571152,33.273642629833255,33.987052218782345,29.434257123965157,30.811380725383202,27.001712525452316,29.97928681792288,27.684644667324246,24.3058165196504,26.398930172602086,27.89397578179929,29.642013207991912,33.61971526423523,33.00396032443891,37.47670543432794,35.62335956326268,34.10531082514751,35.617784013477106,35.434477038753926,35.42946344135628,31.59042834935803,29.74420410513797,31.205762960855424,30.300183969053695,25.805482393379954,26.323197209717915,28.54475718286085,30.508387701106823,33.44065199874756,35.248947135929214],[19.154415387648992,20.143430690030595,23.49899591424323,20.07706054530301,26.168536460202954,24.45644269873521,27.44771348257592,30.426976903082313,28.806243409268934,31.173434804788613,32.79508232235067,35.06288668537197,36.535948501525915,34.050394192726735,38.59396404246825,40.77023481966268,39.8607688875301,43.937809792417404,45.883706562733224,49.00068546796221,51.773171185467554,55.50476857894452,55.95870130090149,54.90214637467245,52.74496817897974,48.58686274052888,47.21152851341018,43.551457653913324,44.35963858814727,43.84917878820257,45.94703817163157,45.698276446571256,48.39743374601427,52.34676541809669,50.82974032872796,49.38450420961544,48.674219219115976,49.59833091225772,49.39465198949862,54.978925866972936,52.072164930189714,52.686620531636315,57.16611801943392,57.006167679811554,58.52826965530827,57.415522580082396,61.56920843052757,60.76501923909713,56.512885024475125,60.959024698332186,63.554645167649504,62.90031956807972,65.43089888874323,60.263780401852465,64.02298592919153,66.95443327342231,63.37148880119704,62.17334822369687,66.78949295569798,67.28173751859953,62.93492252287039,63.1751846357083,60.75104787974877,62.233368538247106,60.369170688726044,56.806986155611476,53.186822456690805,50.16560863837893,46.89828016650573,44.24934335333453,43.08801308231176,44.470991553579,46.90636880809624,50.80562962756192,50.595594605628634,56.8159784852673,56.43160927693795,58.95598930453054,58.47270337936455,59.87756790603097,57.95399228758702,57.77888940413834,55.41046753878806,56.03682406174851,53.03363413736456,51.86173684094753,53.71176991661536,53.98296984455235,53.55794400214931,55.890110201463614,53.17731653826549,55.28162568535573,51.558547305142405,49.35986008751109,44.802313710729514,44.06325408143761,39.959760718747674,43.17270861895715,40.67408274212612,41.27229890883416,44.595365115939885,43.608646771719215,46.46369220529861,44.44745365118354,48.022593262489885,43.2689439661024,45.38491238158236,44.20079715186146,39.75024421336564,40.07512082960966,35.37638084455855,36.561941093751074,33.143039039413445,34.37817962083064,34.73893851342781,35.00905357129377,38.35805251289625,39.056542704160094,42.64339429611778,40.9167171390388,37.66192038452059,34.930276488425264,32.80029600422943,31.20132657644393,29.205950925822798,31.744958108717483,30.35154695696105,34.28112735585376,36.6354362962519,41.712722209587255,40.07153261768933,44.127304981187145,45.85901173195153,47.14710258994644,43.3985509796505,40.08993810670435,37.53724614836538,36.51159657282517,35.18603275253952,38.57293801413132,39.59049975603693,44.35428322201643,43.82377315294137,41.721617977788306,44.95498233559723,43.31150236097072,40.32413453685787,39.280929159730135,38.6626084765223,35.29267769714943,35.86604631581689,34.297421173259075,37.94337467538716,35.38608540208031,37.3371208054117,39.585518416445446,38.66634869368726,39.727448697547615,41.19430937337991,41.32484191213995,41.808526547687066,44.75611388728729,43.38597062793004,47.85243433659376,47.7380619435941,45.45653805077272,47.16437201771219,48.39287363535461,45.269068252600576,42.313977036066305,42.762528938562056,41.754902850660315,45.212246674790244,46.77906596549575,47.69970728828165,48.19023000400254,46.654208593449866,51.609023131062266,51.77519028196421,52.32725070181205,51.70095312474938,46.93444446580458,50.91807630885727,53.13192583892976,50.681222504437414,54.05321779012921,53.078497351250796,57.58805002747807,55.32937877786871,56.27633016764792,56.04942064062398,53.12276491428276,52.04097111654049,49.254785809624444,48.725265470759226,47.581930969869326,42.92004062402659,43.18566220190971,39.51135317599945,38.84763897386731,40.43520612215795,39.69415773008197,36.152363683153645,35.29012046401549,37.6366448197988,34.263509856837196,30.174371400690536,33.066651333635605,35.47542531682005,29.416132170655292,28.55432746174914,31.088859323216568,29.277211031028774,24.779224399949484,26.97644044513031,27.08586827644899,31.772479931853265,31.081073265130666,33.23959943201561,36.1197572482356,40.85334432259872,43.07723895094534,45.98691557616902,47.904829352868,47.60477112921731,50.761445114076146,49.388240736644455,53.04977896918489,50.84233440064702,45.547096174068386,49.04789400448806,51.28146587762132,46.739006145248226,45.57703682433789,49.10706307096724,47.65188043889262,43.136270389199346,44.11995157989639,40.887147945911714,44.9840472012717,47.419402015691695,46.15287203065815,48.715824816529555,50.579534236100294,48.71802868283188,45.00119689364459,45.66752007932193,46.386123535015436,42.11156855944834,40.41585093494913,41.90345229734854,39.945678113086274,36.62235943327864,40.17009679432296,40.10340923683883,35.48279339282789,36.05524209548227,39.67606321290901,38.84028638789024,42.527751818909856,42.835975890889635,45.84013578196104,42.84198343009447,38.252662078449944,42.43018256984202,42.374010842852464,38.74997043974312,38.71238650582831,43.63299500408969,40.6197281140685,36.13627038105745,39.701331985428716,42.77305144518343,38.95062937265233,35.704156948126474,31.337929342278134,32.53895453028936,27.91396371080558,29.009655718356544,24.86389448210658,27.48963979416152,24.800559282786516,21.768313465514165,24.07095930602535,25.96402520726292,27.57589919330371,31.316961993274713,30.406649980560875,34.86892801279666,32.93121889616058,31.05465639640873,32.3749260860206,32.067771911437326,31.940123509550357,28.270479022602448,26.291560610125423,27.603963853894204,26.879341602106745,22.366364945236704,22.68442079630994,24.856151809840078,26.8809115768346,29.817360517234537,31.607638915996443],[21.395506578036034,22.903399040082604,26.447822721005146,23.468226153486558,29.4546012318025,26.667639912308783,29.60471461127694,31.90059654626766,29.892849184612956,32.55675965663558,33.594656892195815,35.49841322048114,37.79528085859599,35.29584465231521,39.38637296667345,41.76617954979247,41.47408595519228,45.45979782140318,47.775430711808866,50.95988534705373,53.82262697713634,57.72967139790405,58.277370371900716,57.54800299573885,55.37442951689338,51.07070449844729,49.721847392582475,45.85933904606246,46.18105682437015,45.33222342989093,46.7710920265861,46.54946493266267,48.7806975627589,52.87413837559358,51.805011074722714,50.743697618109614,50.13147081025863,51.620235348764965,51.80190044214791,57.57546750223901,54.927030765296294,55.11261187776778,59.57612081294062,59.747666113804776,61.516752047507644,60.71278803557234,64.85494420856867,63.73045644087087,59.63994924872855,64.3409243982437,66.62736708380211,65.83657394046894,68.11617813116003,62.83029304399483,66.32143661457852,69.31630384320023,65.77440920818108,64.2208632470856,68.75485737958752,69.5198059146035,65.00383060359923,64.8251113985066,62.11669848938171,63.78362731707921,62.24837588859191,58.57253708922034,54.819454628773315,51.55107969775971,48.33662846783823,45.288187785505926,44.27688439173491,45.36255634774474,47.64989171726946,51.84270737751237,51.49592678010653,57.54922270056922,57.599200710025386,59.80031004247414,59.66489219203939,61.42579020381311,59.537833357200824,59.79230164704835,57.26759172167201,58.36614449344286,55.522098550080436,53.93080214298813,55.6600860974837,55.46047882659286,55.014041662893874,56.75370956542216,53.96741088421952,55.70827637946925,51.85244289457631,49.51011342005048,45.13720390762378,43.94897387429342,40.089086710131234,43.35020386483891,40.95464297586911,41.20379001242518,45.20186164837685,44.45226008314239,47.7319572796232,46.01210015214398,50.160500063176286,45.55373950997,47.774226082875956,47.04162214490876,42.597352339262265,42.42824740924938,37.7998749609059,39.097707217804455,35.391569713579614,37.03373995854504,36.9683340052478,37.69165109807721,40.79983530675201,41.92992130578076,45.049991044469,42.878497322521085,39.73529484454664,36.944060298190664,35.47830815226172,33.87245408776418,31.76585136772038,34.867540554182455,33.24481842869959,37.32518633168876,39.74710301159456,44.7038230216224,43.64339993908938,47.56669402521883,49.489180783489154,50.30263599474381,46.9360518676183,43.467404145089795,41.45232191323384,40.26387156916649,38.91133051505175,41.98343419479711,43.20722856833811,47.861925998952636,46.88185849189338,44.754617274973626,47.814234542032146,45.707988855099394,42.87885587976207,41.4414661886529,40.79637224819702,37.048643716741786,37.44961011277945,35.152335126800416,38.51371129318766,35.140771037011596,37.16445657330633,39.976112392256184,39.502450692911395,40.96115558854604,42.61099213409287,43.34849646824648,44.405139656520696,47.105245436492915,46.37580011557682,50.65947357957585,51.0462420571457,49.22253556847849,51.03430660884149,52.59287803637709,49.57024696227256,46.469898536274385,46.69062254233029,45.364789305349106,48.4495253062424,49.65725527678682,50.182279040752846,50.31442155112813,48.44719801043582,53.3016338255026,53.95956989178525,54.58798731761759,54.48656565561973,49.6258793497027,53.9916806189136,56.45699349665271,54.0558397780467,57.27841292485077,56.12739454262885,60.91917932851025,58.94790779295849,59.987774013136956,60.00405661960084,56.86562983087208,55.9930020559231,53.20185318376829,52.69095783475156,51.678107014414906,47.04688110726426,47.07007345670689,43.36515330568974,42.21496540414653,43.75930997919872,42.511726286317014,39.09326978588399,38.627962008454226,40.55453287176707,36.829653472732716,33.43735157964334,36.086884762553936,37.72556208470714,31.7109412153666,31.16642297171309,33.26084504597169,30.897555391192398,26.938079568674013,29.202576295157108,29.945714053884686,34.12266557617126,34.62340255827564,36.486775162622145,38.97611396542707,43.94206829833969,45.896166536549096,49.099657926614235,50.78273074275784,50.67698022485535,53.78126293200291,52.35601174254629,56.30082340075659,54.262500196649654,49.00163183142819,52.51466693334171,55.08881662754464,50.66869483160051,49.45815111420725,53.12130182457504,51.98160360211037,47.451858795185906,48.36147606750307,44.79172107805502,48.48731204352756,50.82684728620572,49.18000557036083,51.44126098726711,52.91603631160053,50.96216392423604,47.604167613992445,47.91235435622617,48.20495647005335,44.119631550640946,42.58056148555478,43.49883698564011,41.26166189410141,38.32193557611781,41.819342596466406,41.22517853231898,36.49226425894413,37.57715919402914,41.1777768429035,40.84746794663717,44.67104490971303,45.20637023850653,48.46587609231938,45.407857522726516,41.02606510615139,45.47319380148443,45.5798619021069,41.9858828476531,42.266061243139255,47.31410771532266,44.39611648689904,40.0746433816363,43.81738830678265,46.96833709233136,43.22663060566233,40.098132439068145,35.68056378362128,37.20042643722457,32.5963801462593,33.14410622795309,28.910895173150784,31.140162997394892,27.929649423219473,25.56003157520907,28.200651448160798,30.518639312434196,32.02731939784797,35.40215217051598,34.0763447828501,38.446050586491005,36.274147950204686,33.822476880882235,34.56153173996629,33.908326022109776,33.168094155005555,30.200617754406984,27.929524406262853,28.403993011810407,28.180049632068574,24.094571163604947,23.4143511858888,24.74601880692857,26.969029537667655,29.574402585140554,31.05538266208496],[20.385386198386943,22.01300175660265,25.393303646841293,22.775671081111017,28.474341079355217,24.8745169828009,27.73319874739179,29.46484011760846,27.3304835342819,30.289982810294376,31.002809186589314,32.52693906627775,35.36759083899461,33.0909771209837,36.855464363280234,39.233419400772526,39.41552540166539,43.41645279031448,46.14137928276774,49.18977026671423,52.232395382427576,56.162321428644915,56.921959659673234,56.479569424665854,54.15123694354547,49.80203475775631,48.308994239491724,44.287379569701876,44.1946010185214,43.002676318345024,44.18455616133027,43.76930769065348,45.741271511279635,49.9662308581665,49.11719433035153,48.37795373378202,47.68478810097145,49.650860445574914,50.096915592423024,55.91340081515459,53.599410109458674,53.55922521338206,57.957436565046315,58.33439395748382,60.365358920231785,59.77931115057367,63.88926522411222,62.45537391051099,58.44684401621079,63.30318056067475,65.302732896981,64.3581450259591,66.45150003617469,61.105658402661966,64.36270832539259,67.46852563247334,64.0405803909524,62.213393462144204,66.67970494716518,67.71464430724258,63.16558523123034,62.7488156515418,59.86357321293647,61.80076299731835,60.43065893827548,56.61313881603409,52.98624336004004,49.486279111694444,46.51710971190607,43.183359453966055,42.43312346804685,43.52082336776435,45.49219241741059,49.837073571786945,49.17714192698499,55.096229562096426,55.26675961444202,57.187781899969,57.18014569734599,59.12157678092629,57.141851784297884,57.655731865812264,54.94382578837548,56.36267118029407,53.7034362664558,51.83565533353863,53.58479230538004,52.99964638180946,52.70731901901385,54.04068721171071,51.34690823456377,52.98181453035853,49.03947990093767,46.52546442026331,42.25960830538504,40.909735744468776,37.19256658410801,40.238065822081566,37.825411169132856,37.76334840588272,42.14165773585464,41.44766387058171,45.00933586593785,43.44527519675186,47.96077611274898,43.49893194180563,45.79226061469903,45.433354298756505,41.05072444403097,40.471848694044844,35.94677330008812,37.32405258132019,33.48189872728965,35.49140246377304,35.245128392762,36.39814725471852,39.392734872888155,40.972093077199915,43.86974799822431,41.268654568899514,38.31913895904637,35.38971428936876,34.43607956161241,32.65905752648053,30.341439894059103,33.74539020015316,31.84759508426259,35.99184100386304,38.429727973447044,43.22509439956649,42.70160513815142,46.47908787143448,48.54247215371924,48.914853025301674,45.93105991474998,42.37221786202718,40.874417092573076,39.62671143361292,38.38302154532134,41.13140524662176,42.74462807900049,47.30268435809553,45.926234072406864,43.67570014184957,46.519480357063934,44.03745427090749,41.3300002393137,39.5209691847606,38.766021544990956,34.78122156024617,34.988226340986394,32.25129304676009,35.37847190282169,31.586116175595016,33.658554291446386,36.75199356422271,36.590730287450235,38.235707022567,40.05880293467204,41.15012539949677,42.68125284857967,45.25234281315208,45.07762877009074,49.1543306337959,49.919527980529445,48.589221036640495,50.38892342321922,52.30287071049794,49.36485050391344,46.17508485589685,46.11573287156806,44.535792869645086,47.2260962882546,48.11054042755538,48.32291124935833,48.147890894210136,46.11350156832197,50.82054583808128,51.85011422432641,52.4864709716344,52.81188617547545,47.87036563260264,52.51427580745629,55.18721407150337,52.86746695581765,55.99701918286633,54.78119617597434,59.77333963174337,58.16079577495394,59.17554953349564,59.39459702185098,56.038597347388574,55.33595445614042,52.5445040720884,52.05388651135729,51.20289474732989,46.63984599015243,46.451447712751786,42.80308458204722,41.18023964910597,42.804803176066606,41.1065018383816,37.7694998042115,37.785629516041,39.44390831848143,35.40555938104282,32.665529412187766,35.27010154636929,36.301305217809336,30.335886947359125,30.2420464675842,32.14824102078816,29.27227215096025,25.870782266203243,28.490179448564028,29.555184964666328,33.537622998702645,34.86023479137279,36.23098106387692,38.53754516682719,43.63575496691563,45.62542773071877,48.838489241171736,50.10284878360465,49.95530872653815,52.88728129640894,51.24737842064848,55.4226395365583,53.6801262804004,48.33979207765201,51.73221679144682,54.69079333206548,50.43930859859943,49.04743250350179,52.75396532892884,52.070629599040934,47.555572396828516,48.17777611919485,44.36988565832507,47.557116860279976,49.85958585393411,47.983458586843156,49.915807304066774,51.16319975457706,49.02946918544532,45.98792127156857,46.18184733795588,46.083692184682434,42.090809882848404,40.82891576491381,41.412313129372414,38.965074125086346,36.37423533465227,39.98781894190846,39.0733744342562,34.288235405873536,35.891423433673005,39.546551319777116,39.52326893629506,43.30424254193845,43.79760431030747,47.31808291264042,44.45111548774864,40.075149315183566,44.60265218869546,45.05624000105099,41.54207749399792,41.83587024776954,47.10368894015827,44.513663831849065,40.16625938176921,43.88583135263803,47.31867060795349,43.84370955410926,40.70485919989773,36.1809253828082,38.2721407553487,33.69494419227366,33.93762963351973,29.402709321756316,31.03020456755653,27.27706092851236,25.597312263552887,28.37094333878527,31.122967680657055,32.31993191234046,35.29246126584007,33.43587890052322,37.633605408048204,35.22074289695632,32.42000719261645,32.651095367177156,31.852333925324967,30.594171584690386,28.143971983801578,25.861890451018077,25.69673444310448,25.686491454982065,22.08913971778025,20.875137282417374,21.537757200700906,23.756234331896486,26.120808277829465,27.45841752822581],[22.18285011217474,24.330870545097454,28.369442686307508,26.416257820489125,32.38896302753795,29.38162451684223,32.669532343817984,34.496503537602784,32.868503623883136,36.05697182032028,36.98399163897049,38.35209330933018,41.17577068846076,39.106775680676314,42.971837310922616,45.22884707585183,45.3395005016754,49.45640387309118,52.15292897443091,55.12717815013281,58.204126864270314,62.05229759997373,62.8237450257941,62.24089686638282,59.87553499117001,55.586864069853355,54.00018159862587,50.02273397988984,50.05126502985279,48.812721608075215,50.29504647864861,49.62870256054727,51.67437304112751,55.989413239577964,55.03870597235685,54.32555442693261,53.408451626252294,55.37488046625442,55.6605516918928,61.32683803517042,59.02896875939498,59.27929712155745,63.675501690246556,63.8662913909589,65.83211609497488,65.02940842121515,69.152730073665,67.86463900139883,63.678117757227604,68.34002721301363,70.50378639222217,69.53832949512984,71.7937648220592,66.51779297209693,69.84959112733404,73.05180447822549,69.69296999318598,67.96299429336615,72.46458208175461,73.49170101144635,69.05265606634063,68.7893745375623,65.96229353798013,67.93771879787813,66.45202227466879,62.620336697219926,59.10285579192219,55.62743999646403,52.687357492874064,49.42200188194266,48.658580520486936,49.799125499603505,51.80263900903388,56.11247198583966,55.42401730651424,61.36481741600975,61.41158166725223,63.32649628441166,63.20135378315164,65.03645353379883,62.88323650291097,63.224507555371936,60.341666160268595,61.56930416525093,58.98557883399615,57.31975149636725,59.302133110028706,58.731848723329314,58.66224032204883,60.05816779871796,57.48776758724236,59.22059774499891,55.26505536258183,52.675517935483754,48.39293251795504,47.104022279582566,43.381647179137744,46.192802165463995,43.62003178742247,43.1974134775824,47.694836527560135,46.530516307018246,50.295416362446765,48.2805026839932,52.57921260711864,47.94035784739936,49.80453611667254,49.235231930136415,44.73763168856783,44.50872395047395,40.08222175571762,41.95407716111255,38.44204805112306,40.56768412295016,40.77862921549046,41.84045738532206,45.054148209101,46.49564116224071,49.68212815302394,47.21520866933851,44.229519022680265,41.263399800306765,40.00046034033442,38.10021690611876,35.629519793893394,38.57130111538921,36.19624513387135,40.364583259095234,42.48264552305488,47.3776985385587,46.38590744155123,50.0043425363091,52.32848371362252,52.997802215911435,50.0593524668826,46.78418627209481,44.807228132242415,44.07981585189686,43.07759068462788,46.060211684339,47.7439753543782,52.433694720145006,51.328525647461056,48.99375383993847,51.89838618803872,49.579396109068576,46.75728639454368,44.951981072901326,43.94874001309405,40.028485950921045,39.854321699401794,37.35772488797975,40.12470377389899,36.315393017481384,38.86299297422729,41.94498353922599,41.99379697170577,43.295594276521086,45.44212966752833,46.084474415081786,47.67255456436745,50.596320606798,50.21031299856919,54.35485597401047,54.76774838541527,53.2472606146663,54.744353554091866,56.4739177779056,53.27592542990995,50.349010977112,50.320855337105385,49.10628449409322,51.93850568440303,52.979320976189115,53.38896559338177,53.175639298175824,51.45788841407088,56.01576756352309,57.02843806289489,57.436339277209605,57.663926312271784,52.49347255067613,56.89230169801105,59.48537310063904,57.3138828362695,60.792608775925714,59.871061188102814,64.68518100827265,63.03582184657168,63.78765109391526,63.731513501553735,60.43994966475956,59.358404985296474,56.402730479569186,55.661031410124835,54.43150476063539,49.89833059696794,49.49272991962971,45.56320947261073,44.2847925043485,45.29452963729792,43.87284559312878,40.783443115844044,40.11778414859919,41.48947671924299,37.81127965108255,34.82860477973841,36.84781317536427,37.94430739098856,32.253302146642795,31.55211935191321,33.02322364760427,30.649640497478558,27.0234823869724,28.745640610249524,30.0682181691318,33.45315781833881,34.932229458915316,36.79761688362472,38.75024815358894,43.79764266040672,45.27878816438322,48.842735194838596,50.59562149433827,50.92015855563453,54.13820855336508,53.03761020372911,57.09772469484366,54.93283424263391,50.014930092466855,53.73820788215912,56.33825931187037,51.98355646066219,51.06407682557001,54.9610710837577,53.74528558901592,49.243960053577794,50.65569033844619,46.64993100101143,50.39053974981736,52.42211416632469,50.30566251217618,52.554909367299835,53.55082660686743,51.932437470403876,48.761361939697636,48.40399296298524,48.65874238777829,44.95876695570389,43.11570371341359,43.505103572530054,41.246421563021485,38.45045919087768,41.47047344881673,40.52974470602238,35.89184718785507,36.915138624427215,40.265505851699324,40.32636817331065,44.3364752129875,45.36575784034441,48.57691070677105,45.18201213742665,41.31277155331899,46.037462208782834,45.90327137745529,42.34709977504626,43.26501037384938,48.08939188902136,44.9704962044968,41.137374935600775,45.22401174699957,48.042012571218564,44.21339815364456,41.42907782766706,37.1919268395085,38.64490037004334,34.19452717394247,33.964458248060176,30.096447169414194,32.27688544221923,29.12759174090909,27.142917869843455,30.15288985301177,32.616456610370214,34.44779753188163,37.447617083355716,36.401807304178725,40.7438259766221,38.91019007709269,35.55427453978142,36.17903941863841,34.945204546780616,34.35962066373216,32.02732417583111,28.995529510310046,29.245334096634046,30.09434985530575,25.81853780362424,24.124007198877564,25.37311327070628,28.036752044250424,30.47084342021232,31.548244265827694],[18.795367955668624,21.312656794714723,25.51241917209855,24.595373311032095,30.309624939929815,27.14191790207447,30.729197565116714,32.131298581962156,31.09151345472244,34.796898637019716,35.821979214277455,36.65388752818954,39.752858262409475,38.31281216626142,42.0566494690962,44.01216846725945,44.41142174628672,48.74088179792201,51.866610829351934,54.45278035006325,57.82395791114937,61.48513857834759,62.59418401272389,62.15418463563621,59.47222496033395,55.281001299235605,53.31074644172376,49.244785196676176,49.01367660696942,47.37452181040693,49.23481769363796,47.94027898923442,49.99180705806545,54.50673961471687,53.46847796907313,53.050877207718514,51.68050979936567,54.06323860645087,54.377748523167895,59.813013913397036,57.96369387393166,58.411214547478956,62.6906476699628,62.82527714994891,65.0333096627503,64.19748689344434,68.27005580260422,66.7786530007524,62.45834652073606,67.01513287486479,69.02007177151887,67.8603690101904,70.11210905134264,64.89624579599703,68.05722410287594,71.52626403078722,68.42056790519216,66.55790120803918,71.03257477385654,72.34331968451673,68.08694092357678,67.88437141685569,65.0325591548491,67.39105228525756,65.81889775826217,61.81079497746906,58.755092145764586,55.08139830771373,52.58743268219033,49.199698926743245,48.77873562763768,50.23647109137813,51.81214879312277,56.10579274079624,54.92780921190194,60.78638812905099,60.55228771735947,62.2207757106642,61.911365444202346,63.672578537873434,61.14975226324933,61.44071355974661,58.18421300772233,59.44287986362405,57.15393427283861,55.50256898342848,57.84293215294613,56.96335726668542,57.41723534928755,58.63088404199872,56.42111240768688,58.37817494340169,54.36773711448188,51.520488265398356,47.25390156221322,46.138334684637975,42.452088105759714,44.59079654960541,41.73547282330485,40.69880343677864,45.4090100153744,43.68170085728588,47.79905153783671,45.388303756091055,49.69664408875456,45.0460968828819,46.565129498512974,46.14954092827922,41.65961501927651,41.36691039742529,37.18025810464938,39.58333608801257,36.3651277977252,38.96855620735474,39.60889698572823,41.02856155662054,44.416681575992776,46.23346834574032,49.63482632296297,46.85417212713317,44.107885853881,40.900139037233124,39.77565183232544,37.458085042803454,34.54552918739339,37.18043452205264,34.01455810773722,38.19814771375987,39.98448826494984,44.74949910337186,43.908385057122736,47.195131361445135,49.87761338524088,50.34197166905393,47.888406610154675,44.83347428333677,43.004445282905465,42.76525298883294,42.21971446767913,45.02924558112577,47.35506992413321,52.044871676226286,50.797846994099665,48.17619561144386,50.8603203246586,48.36111141026318,45.5389609913863,43.36225354055231,41.939122458530264,37.94992874279725,37.18350902359828,34.71632884986984,36.938084405608336,33.08689325282331,36.11853248071215,39.194782809594656,39.64031720760292,40.61057348292821,43.23630175422041,43.60603728513808,45.67812382311558,48.88471375499777,48.83668795886095,52.785177481010535,53.1918981789732,52.08799647891261,53.1991679017007,55.18553258840829,51.84870692724319,49.10717298808323,48.743703653598985,47.62325748635594,50.11467593381811,50.96793252735444,51.288032325525414,50.752955457273735,49.299396799719446,53.514371643079905,54.800575293053626,54.944787085242936,55.462721006606486,50.00642875046112,54.39496335271336,57.10689753734845,55.19421032535793,58.931314858969344,58.297866663030035,63.095082307369154,61.87768009808992,62.26447372453319,62.15588913496728,58.678547631478736,57.41664214274586,54.320186810823415,53.38059238341047,52.02729101484749,47.63847761102835,46.80895370564602,42.76415934045311,41.24983455660406,41.884870428278575,40.23355496221132,37.43354059966365,36.77381012230156,37.68053989641982,33.984696569805784,31.52543201219317,33.09926156593373,33.66078472995777,28.245586583267727,27.622561939398757,28.668774612113552,26.1520717890286,22.97494343007796,24.540255046015123,26.286467375279486,29.166765714252577,31.563544531082982,33.08963564207942,34.6749911177365,39.806121436276946,41.10083254349457,44.80363909015784,46.34383532018463,46.82868027108014,50.010209447698394,48.999895525660456,53.1980771841473,51.10009867029411,46.356089494191274,50.13414280823011,52.9050582513713,48.69665008365941,47.872121510934086,51.9207282939879,50.89881216970413,46.45321121796025,48.04135724780768,43.654290870992,47.203755689193876,48.993058979596924,46.51252896136447,48.656571669600524,49.3122512049521,47.88088228525723,44.899193071428535,44.11315278705612,44.29202846689898,40.8674276486504,38.886894038440786,38.92675995182135,36.65744369139049,33.99679053414083,36.769250663247746,35.62365484574941,31.051412608122963,32.13738925263546,35.383298290073725,35.7009513263788,39.751996093405026,40.99567692753872,44.25624967509459,40.80087399303458,37.20087145259482,42.06860559984063,41.974835327786444,38.504074496879895,39.758867175184506,44.54149695385653,41.551207045012426,37.98074483748634,42.212004574508555,45.003541246378816,41.34665649112125,38.75845180109126,34.59345327212513,36.4180618467973,32.134930727395776,31.26662500919972,27.435702259022523,29.16536908975872,25.84852252016658,24.51686548939891,27.770025176467197,30.534922847876885,32.35941561301433,34.83552006004058,33.79013741816006,37.99560023342968,36.41410969939167,32.304338713428,32.769917981577535,31.10858817432812,30.69033512333573,28.871914881370625,25.297405977489426,25.42263278668107,27.1422717032789,22.762853130513424,20.328176113175225,21.662503310702142,24.624785866792358,26.989000897570968,27.850381231050516],[19.22869521926464,21.55330979012931,25.893318308406094,24.550533477829735,30.56166456753365,28.177769762119866,31.825595025787585,33.82399064452166,32.84675291814942,36.257737452504564,37.605644997514105,38.85540960621315,41.40784967284188,39.72458770526743,43.81785013882582,45.79110530277768,45.71373662058417,50.04828725162602,52.78785041646916,55.50729459159649,58.717228426490166,62.356927149581516,63.270634126866426,62.54982845980093,60.002133417843346,55.84901654228193,54.00513989157284,50.08407543230963,50.26179237233658,48.966163369491206,51.09623575124293,50.006879941718196,52.344735256311466,56.73371741223476,55.457467313125186,54.69892972513191,53.41399815284058,55.31014864983487,55.35910507924416,60.76607845764849,58.5770167335478,59.25467162125445,63.6074002519788,63.52826205160626,65.47777326157616,64.42175481902937,68.53010547548827,67.34923929824559,62.939483845205245,67.34695320020464,69.64841947535196,68.63092488354854,71.07576243992074,65.91924287878068,69.33092592981748,72.67747565648428,69.45571678618138,67.87663060282063,72.42108229131489,73.45432628531479,69.23267141359578,69.27995546565212,66.60469196778081,68.69901211433923,66.9497446473741,63.072542678955,59.895724955248056,56.43947039526168,53.70570725922276,50.58459565083565,49.917766741843884,51.40238864332983,53.276820611302455,57.437041197470144,56.54910143352869,62.56842009290841,62.195977976775794,64.1609096452395,63.711989657183466,65.28649361839454,62.854971684261656,62.877744744013754,59.81918662933604,60.75086302521676,58.26285517572759,56.88693620296997,59.20756698434425,58.72906538363005,59.019107285361216,60.66414869675755,58.34816900340225,60.433455928362065,56.49685528062225,53.81698942576111,49.410834051501425,48.462903620339524,44.5957408036485,46.99071358131222,44.14900356814079,43.49616022996561,47.791996836007904,46.050098575943906,49.8457264671203,47.302943212516425,51.23443193665171,46.43438003927699,47.91524253925304,47.10334407438459,42.55005184704041,42.676885039123796,38.35811728303735,40.63783704287617,37.52760437047166,39.75712861950251,40.56507470089005,41.573975010104284,45.083645700273905,46.48896867578848,50.11429839455468,47.733418782266725,44.797174689635895,41.70363936869569,40.092364078857116,37.91883027995364,35.19502570095713,37.55372715462703,34.67761456837329,38.80506552963722,40.5981344518044,45.533784387168375,44.150785895453375,47.60330196449255,50.12376826703215,51.03976875893111,48.17850324547518,45.20374953378362,42.86517550311945,42.68116377354653,42.03407323521937,45.15176140735412,47.12401229657563,51.91206823325898,51.04211569722601,48.53104234193513,51.42643823348377,49.29267503953779,46.34337566114201,44.531388471212395,43.230966448857885,39.47121524148892,38.95096425414948,36.92390395436808,39.478298204229006,36.08876214350917,38.995236640480414,41.77633265646807,41.847697647622155,42.66014827569617,45.07341478072984,45.10258607737822,46.672716195722046,50.00567758267753,49.4007079167722,53.56499867961331,53.59544197158862,52.004325821896416,53.12753056081189,54.76672421521888,51.345704174226675,48.69270705654758,48.600901072903554,47.72816482149423,50.614340393939536,51.7955238500417,52.43348505625462,52.225576079981046,50.92594053281066,55.32410452284637,56.21257005873174,56.36107631877848,56.43008726828896,51.06425371179139,55.17596869327058,57.67528190709831,55.66981961568693,59.49589287625115,58.924503894138006,63.52520319327922,61.951642227672075,62.35918731369839,62.05007037142742,58.78932767058587,57.36108517394017,54.26728566659215,53.311259264827925,51.80432200729327,47.347201231731866,46.74753109899828,42.654396431417936,41.62887511215008,42.224999345407525,41.05526355887443,38.13271252186406,36.99190659980889,38.234844476653386,34.85870094566086,31.66333734586934,33.35152841394236,34.63587344061534,29.11895681753601,28.025228524232606,29.367060152856943,27.426433315833446,23.563688035891776,24.812107702578537,26.121543857963733,29.330530533393844,30.708805723101896,32.78027176073331,34.62751965322586,39.607499004030686,40.94309819888822,44.57776018957399,46.56309853041345,47.04941049316642,50.40353470160385,49.5865515228565,53.53135599590112,51.13391033440264,46.43978944166834,50.32838962210525,52.699791707504964,48.306771953414845,47.64960071590154,51.644517949307634,50.157346298050356,45.68787474021084,47.54993759021107,43.42058486367424,47.49378184800044,49.34808642272337,47.146681046333654,49.63752106229987,50.58547393944287,49.302962016177865,45.96816069746037,45.38025150731308,45.9774756422866,42.4010624591421,40.16764328724488,40.64045687622743,38.60164615063078,35.549187037016175,38.267659212589194,37.53266524249148,33.01810149115327,33.53976766630175,36.75731386178734,36.672509186694,40.73991213175402,41.96190771499778,44.9456048549436,41.32671666741571,37.65728175897193,42.41206593802079,41.97214389496859,38.40555892201842,39.59084633549949,44.167719294527714,40.8338583370556,37.25030516052224,41.49537558065956,44.01453395307155,40.0777305159738,37.47708508097379,33.4064337747045,34.650530191239454,30.3193113330803,29.774169685512692,26.230008335399987,28.616236004079877,25.86715214878553,23.766854426679128,26.884792369629093,29.215425760838016,31.366750406893495,34.26465237074245,33.74229112627208,38.12727178945052,36.76469379897142,33.06479110153431,34.07200464582203,32.63801578621176,32.72061574867135,30.290333498602802,26.83683372318792,27.6525921501929,28.96319562867866,24.122046750993064,22.411892399710894,24.42258396615874,27.293079555900032,29.955680717982034,31.054617365656437],[17.969339153781412,20.22680245968719,24.729932634985097,23.533667554903282,29.557257881985606,27.807585042140058,31.57821360460182,33.86068735463455,33.2222981183327,36.579210825651536,38.23367966212221,39.57726181415491,41.76381621152634,40.1901172673701,44.48915815795941,46.316650532764044,45.96624781525828,50.37916399082197,52.98288649104892,55.60847351642492,58.81030069498153,62.32394648690386,63.23509110348797,62.351373291345176,59.77032031432629,55.715562377617545,53.799885647819366,49.984331636737785,50.38372362750859,49.19930367977649,51.73372068100822,50.52767629140207,53.10719864737989,57.45888526344843,55.936390442192675,55.02595688632462,53.60723833501795,55.27192123962042,55.10403645149907,60.35873982294154,58.10624361004567,59.06429980107257,63.403912796646715,63.104983647427396,64.94226042511231,63.68871244630981,67.78038436310477,66.77158167135258,62.244327084875536,66.46186364711966,68.92956656513294,67.93404683243965,70.53649907660626,65.47905257749719,69.0218023016673,72.36667098039337,69.18077722869326,67.79372705285877,72.36998215226787,73.29281152830237,69.20733863196216,69.50235775224509,66.98111875497173,69.02889363570496,67.0863664794286,63.2506559499516,60.21136215842499,56.860835428847494,54.156022326240794,51.22529644037339,50.52089277739649,52.17753873725851,54.08400609509064,58.09630449705065,57.22349224556399,63.318993295041686,62.686006262856196,64.78294163356823,64.12347968673303,65.49661425870046,62.9780466471193,62.744306355994034,59.69449868117178,60.352352292811446,57.84061603584549,56.7174809523716,59.17955870343447,58.901997317940975,59.298042254667294,61.22515380164248,59.00349460811106,61.30549164531964,57.42611208810877,54.77747102123862,50.27880024771574,49.571874867940785,45.587768685209035,47.86486833372604,44.92158287002767,44.32757301447205,48.3233943508249,46.325428236797656,49.97406468894534,47.158057925718154,50.74397153252972,45.84627219771234,47.13352487639368,46.05615181082804,41.487656131017125,41.93885156888564,37.655019899780264,40.04668718987133,37.19553776983727,39.30750787266289,40.451243599236285,41.27433151261323,44.9419976670808,46.17563887215589,50.070806374652356,47.888746786419645,44.93048674429695,41.84162468355997,39.89931063542126,37.66722201554376,34.92448240535157,36.8743464798333,33.9068160793374,37.944649805583595,39.57497515936309,44.5558209377222,42.797137533325774,46.21736197658831,48.74334479954542,49.939769712413764,46.971734544913446,44.18443583752598,41.51454443279248,41.60858734372271,41.09927296351146,44.35272471238664,46.32305893352491,51.16702116655114,50.55407041424674,48.014686245068134,50.96232198493605,49.065620563309395,46.02870644687891,44.366084310814394,42.983961772185424,39.424801659932015,38.85050216023592,37.24033308117284,39.81398327243098,36.857093515248316,39.82732257960259,42.316832360668066,42.241031292976935,42.75940317075477,45.187031057052586,44.79921447893428,46.15554566303841,49.70087073823217,48.78421844217832,53.01399538538697,52.72533394242171,50.929258168129905,51.87400297624232,53.3333672471024,49.79978541861361,47.32347713783218,47.30175056766087,46.68632704963334,49.725815189349994,51.09032828649504,51.95318723867654,51.87791635805117,50.8391615370395,55.21270296419786,55.87802749037019,55.9091507492151,55.7291957233889,50.34199399727318,54.18865534729833,56.5505012479111,54.592921649861246,58.58947453334339,58.20931685905588,62.60969004664087,60.94984520633912,61.20252932469796,60.707199487047205,57.55450194377439,55.918586817924236,52.78302939846856,51.734773985187026,50.05826923912791,45.63145079791673,45.03398835665309,40.882510645413994,40.16716061490839,40.574228013419955,39.71970336829076,36.83891238553006,35.31496888913317,36.64122771137876,33.55771711168699,30.000461474312296,31.587441139090345,33.25416406809956,27.830256477061514,26.395026293250318,27.813284685285275,26.33054079205865,22.14566860393618,23.04984575828631,24.117113366358907,27.392806954317248,28.255562510005273,30.599611432722945,32.525210607574515,37.36644917108366,38.76247120853748,42.308817910787276,44.52473933369832,45.04396258125025,48.50379689004398,47.86235695814725,51.634990076610265,49.046556238921404,44.46860100297231,48.43976454573379,50.556834142336356,46.092000904897944,45.60152572207922,49.59715189776073,47.82235708810309,43.37548033664636,45.51887433007335,41.46274372481082,45.853662387011305,47.65459191615836,45.55776477572183,48.275063461874645,49.330240464026126,48.25088687945598,44.715010793560296,44.142335627146075,45.05299640301835,41.47340707275299,38.99937384607677,39.70940973847604,37.87890328531567,34.5750496653489,37.14456593199704,36.69809404660931,32.304513554061515,32.37213371711442,35.51189012271179,35.17100940584357,39.225783269718576,40.47829232995108,43.24132558800451,39.51093251140921,35.88861095822081,40.5614238927823,39.876457990728795,36.28853186853818,37.51997737988543,41.90004633375054,38.37267298609314,34.89115223562487,39.16479675338761,41.45929434569619,37.40435389177708,34.88323951986426,30.946161730122427,31.889853141675886,27.64110689349286,27.089102630117345,23.81436719161783,26.509622301668863,24.210571856225577,21.79101773740088,24.840147319703526,26.910368776186047,29.300374472959284,32.28208767661105,32.19777362118469,36.61718895457575,35.56502239299714,31.926252388247274,33.308626182184675,31.91056879679164,32.48472782274652,29.793299976906958,26.27439422294899,27.605658304932565,28.91746668724327,23.761980975721603,22.37984799213031,24.9479592710136,27.803545259990056,30.65504218792944,31.862368371557004],[18.550580967868687,20.372225069638176,24.574249175170053,22.59798194392628,28.741114791820088,27.226027590021236,30.789025535966267,33.43456702928046,32.52150659206378,35.515760414150044,37.23685696288169,38.95483154111286,40.79844688358337,38.89498617263459,43.35032396533013,45.28689131222192,44.64891950157567,48.95955369667491,51.25883207808996,54.06537040027194,57.08939216228249,60.65716810271457,61.37479651116224,60.35953267575446,57.94736789855384,53.87925804978778,52.16355382530891,48.44004961260671,49.07353914767199,48.18087264621675,50.650391101505576,49.78494009153502,52.468214418068094,56.66930292845325,55.090809984160295,53.93250113581337,52.74943677491966,54.062552029881445,53.8093185891905,59.15176469618404,56.60427055919085,57.52583753416686,61.92596162205977,61.611595826523164,63.28324829072282,62.01055119224865,66.12649554356891,65.2647561620217,60.79573763398502,65.03656124667725,67.61892074710447,66.77373129855049,69.40136698705997,64.33651350945465,68.00181075459105,71.18822675329571,67.85524156755139,66.60357918430044,71.20688299202692,71.92658294772693,67.77374810821192,68.12230463534179,65.68178373389524,67.48102615620881,65.51723782490521,61.80483956192423,58.559014913954144,55.370648849938405,52.43476934063627,49.66222820899853,48.7546756046541,50.32995350266507,52.47506541349601,56.416206502612205,55.82009774721547,61.99023817681777,61.39991652052372,63.70242663343086,63.06144090331133,64.39514191031799,62.081790303356684,61.787971391534484,58.99976240449396,59.55438967578949,56.84873864545035,55.78770598845913,58.059392571073396,58.054356209450695,58.159807272311376,60.318488646005065,57.92075651653221,60.192242938446036,56.378203618138855,53.907893524457236,49.35855809106085,48.677602316064664,44.61669580231365,47.24091866940789,44.43397135984589,44.28636498140688,47.98994564474625,46.293206745113146,49.62335401498482,47.01137887852674,50.494178245682676,45.598716948051816,47.12494991302458,45.89807533066809,41.3455724241246,41.879272950159866,37.434919367475814,39.43614928410039,36.449199402102096,38.19790935501358,39.16122403978458,39.70481028874395,43.30997823393318,44.27108631274905,48.12855625528805,46.19907903550025,43.10440030222809,40.158120028199036,38.02486912371414,36.023064361526224,33.55200462201983,35.5864754937431,33.16168128275103,37.151934618593266,38.99574484667058,44.053575769982906,42.16365528219495,45.824569098304934,48.064556662157784,49.42591282645909,46.104022569153756,43.19013281925558,40.3949103087549,40.18293649100334,39.40917930627029,42.792226964580955,44.37850162941131,49.21370538148791,48.744023823664335,46.372096824112205,49.462440115699835,47.74823638047684,44.69125452395818,43.31597163930567,42.193910078056916,38.75226140425596,38.581777590621385,37.09140802831065,40.0679498080652,37.32686477546806,39.969280957977794,42.324468159249015,41.90792133488147,42.551776507794834,44.63846826969281,44.315359701841764,45.271567234049975,48.675279306024905,47.464288492613996,51.82518749432137,51.471103795577235,49.384786446628084,50.55377417716251,51.83380846267123,48.39467209251363,45.811838580017586,46.01246587565743,45.36366158865293,48.64448109956981,50.16659494540296,51.138139127476805,51.32255354671386,50.177187750496465,54.77373658956747,55.18140576939082,55.37036247833102,54.92928990154257,49.75449236822252,53.559734640815925,55.8127230053695,53.68207155732616,57.51900677305103,56.98013486566884,61.35230907634078,59.40817673336185,59.87158748973216,59.39271888077632,56.376622538535294,54.85502416984532,51.8212815713642,50.916900853492166,49.343948007385286,44.822586673500446,44.560113949309645,40.53619021908666,39.99183616158938,40.739269265125486,40.06340041132757,36.95120860748075,35.47755060232723,37.2136541334095,34.13910440052646,30.20245708015568,32.219641745609536,34.330080678028885,28.68226746992654,27.285677471079648,29.14209213000661,27.713825778297046,23.230878347493398,24.46228899918633,25.088747467845245,28.918666396486937,28.945601217595474,31.414540658281112,33.721785356295605,38.485903623808,40.12409350914099,43.45476264360615,45.72091939417173,45.989749521419476,49.40336474898207,48.60017715079749,52.258575698293114,49.69621606534396,44.920277770664406,48.776366041015635,50.80175368729566,46.2585465985934,45.61775938675287,49.44446587155686,47.61732455061387,43.14614383840821,45.033042964771475,41.31422151600789,45.78051875265787,47.79233378131701,46.0338804617328,48.80551586693113,50.196774467010215,48.9173648877951,45.2261696236858,45.08559874892713,46.05369047314681,42.22060293622642,39.912219115392304,40.98076515218355,39.17050518002304,35.75610554130443,38.61477296093163,38.39648139765059,33.94352981350025,34.02335737254941,37.306165929620555,36.69703787454742,40.63925170144212,41.59161786444426,44.34673151102355,40.7969149523988,36.85623952803486,41.33832801124355,40.739935167639736,37.113835947156346,37.92835344042404,42.40102074278325,38.92318000565207,35.12951915585831,39.18623832979252,41.623767918954584,37.539814673249445,34.79234721820443,30.767291985600277,31.58009847317567,27.19919341163981,27.265566516518685,23.830445627157136,26.731474729848756,24.512709578925957,21.65828898674253,24.425554832682824,26.27374037102632,28.54020494568503,31.90183016370628,31.75755256920602,36.23786047982072,34.99566715320404,32.00612615955473,33.522612743491806,32.51302999061482,33.014417734763974,29.858162847630187,26.833018577972215,28.326214548987416,28.92857938066515,23.841129319375828,23.14064182217268,25.73622209680813,28.33458489528486,31.292155025670418,32.735754368812586],[17.4693615765455,18.927972780280534,22.99386686116929,21.01520868129106,27.068003982272067,26.437345127765546,30.04592617411073,33.07412563922482,32.53196491228235,35.35683661759869,37.451475684143034,39.32467900641547,40.64121067701502,38.8435114718712,43.53472276962406,45.28953064610259,44.276492487694696,48.63890397887939,50.71617775345514,53.41167866779817,56.3853409408134,59.78858797078835,60.47218207645877,59.24350468677416,56.82287233626091,52.89859002252766,51.129214340719955,47.569794571477985,48.50774239749973,47.805344164113905,50.746543205298885,49.797840846347704,52.77645431995057,56.88280806378399,55.00246771045228,53.62379532059372,52.32438057108668,53.28520571701101,52.75847383474114,57.89706918684674,55.234088523147356,56.49500483053661,60.865852470103476,60.30613646751126,61.817633215368936,60.31400616189094,64.41079228903585,63.7675230182045,59.17838646513115,63.18471418437175,65.97254068122781,65.21616293794007,68.02578423593977,63.06695387480828,66.89632135998889,70.06301972307166,66.74137012788526,65.7338323622253,70.3793339688419,70.93759289000647,66.93894270622592,67.58598769089211,65.34784196984612,67.0570429954976,64.86267408930131,61.22627750487891,58.1381085801618,55.11678813459386,52.209617134570294,49.707993228933404,48.7426210717709,50.52415472505893,52.71148722088238,56.43678337107882,55.89110708431072,62.13419185021559,61.228830489543505,63.712762680174755,62.8196901975888,63.89386287782173,61.52131522902039,60.91679373487369,58.201328887029945,58.40959458370916,55.63902658900372,54.896839781783505,57.29348066689019,57.58222218036156,57.76482507412481,60.296362942620675,57.99785660950511,60.52021025457792,56.8058065875407,54.414429784686185,49.772303638084594,49.397982771285,45.212052937908304,47.7219155281267,44.837836072875994,44.85026945145304,48.10568365939909,46.18174822060233,49.24410115879683,46.37187134763783,49.40377657771435,44.41747995994044,45.774169628538786,44.21494981799337,39.679283140824026,40.61117023209916,36.197364208729724,38.20975583088951,35.53391472491801,37.042832504468564,38.3831645066293,38.64659115408131,42.41057572824165,43.09938900736781,47.28082993148069,45.642600168521916,42.53098390859207,39.63086948289938,37.07974530814965,35.049170953631794,32.62605318952347,34.141808562774386,31.752414125395504,35.57720549301342,37.26614758240112,42.36467735822226,40.011251578472425,43.685675050352195,45.84352928197904,47.565357333923444,44.044991034344605,41.33690721836156,38.1203037160629,38.17418308839545,37.5279270051142,41.1055332133479,42.61821613710577,47.49925645383222,47.355301986020784,44.97892047751016,48.14196509871551,46.75846807779723,43.6116516978517,42.48010459767305,41.31825578555391,38.174136498392635,38.02996240498476,37.0776393595373,40.145461885343515,37.972986831915875,40.60390794592253,42.56692496109563,41.903092472834366,42.21603829962157,44.23015248518638,43.42324868204988,44.02278848760302,47.637973929860415,46.006368495669086,50.443382054992654,49.69941386523992,47.325535669665506,48.32414043527354,49.359659958477906,45.81321743082644,43.420952761706424,43.74924187849826,43.39944519821563,46.8990376631262,48.66330819107451,49.9204009427476,50.32047593869149,49.468589461488406,54.0595335667988,54.14627724694559,54.23306414814294,53.44044505270267,48.30912926447842,51.78505387297553,53.846147525739696,51.73713507240197,55.729142561203766,55.38346857340581,59.507666212420595,57.41057904449695,57.732982374680894,57.0410648824813,54.18326723666896,52.4446963977784,49.39271119758799,48.42655050605483,46.6933693613331,42.19285461086446,42.0344531787529,38.00015622199786,37.86481539358516,38.512190330615525,38.25539118984943,35.13362268175677,33.25651116822016,35.23174554544487,32.51245612672926,28.062693526208186,30.121077085773454,32.81498134568707,27.251880872749705,25.51840873897013,27.633663284407618,26.748073988343034,21.886597208435052,22.88060636520231,23.00074697969262,27.123623916537984,26.18192803187702,28.96403837026982,31.519511021053717,36.06876040230793,37.84492977948554,40.991993433360705,43.502123011015165,43.67861718301841,47.16034386187774,46.47343362437706,49.89515488748806,47.154473010826344,42.43274374107491,46.32247269792701,48.03959469768994,43.40357714493323,42.88415885166491,46.6416918703594,44.50779489158741,40.06348102190443,42.148625230953165,38.635267107433265,43.46003166531771,45.47552415149283,43.95368594921572,46.979370872068934,48.60559974190324,47.475541050112525,43.53036873589852,43.56936225599832,44.89383509372024,40.99467690245211,38.50603400486017,39.9633426406041,38.403204954644316,34.71002484653326,37.50039241367465,37.68638189260231,33.386538219293115,32.99736100820779,36.22721069954972,35.233623183978075,39.06954630800628,39.9129947695298,42.416972027449056,38.85936816574882,34.85139956372426,39.1336036531581,38.324791480704796,34.682762594194585,35.359558674677444,39.648314069317344,36.02082470053411,32.20358905805745,36.18886677949719,38.45629322614941,34.25804933954552,31.490144940890964,27.565994372986967,28.014528315930118,23.638462529995856,24.014697932859498,20.81526131629223,24.135571965482804,22.494699771298944,19.116936259056235,21.647421564182373,23.092557675500146,25.594691469275634,29.147648911956203,29.49333084804733,34.013058598428096,33.08597273763696,30.403933004028982,32.38280423116907,31.55680220126764,32.59257441469634,29.03348323049686,26.141700642102588,28.260081640571357,28.650931082907093,23.294788850089613,23.226229650992526,26.395176891353366,28.850349307645313,31.973436685490867,33.57125857779377],[16.823691317062497,17.711452210583563,21.35888767016487,18.86859375084001,24.841002665539467,24.735246951093774,28.17915803467824,31.546403921359897,31.042577213280644,33.56661316520264,35.87216250477671,37.987641557897184,38.85104819195746,36.97626161318206,41.82710168187536,43.518849973877494,42.192453749442585,46.51456766243722,48.355821683287935,51.05342400356763,53.928165905324505,57.264095924657276,57.86089076895692,56.4924888745446,54.13084939805149,50.27875855398323,48.56418469604477,45.12970609909782,46.306946735150696,45.833102583262075,48.96927661066861,48.13866776777722,51.30494804414856,55.270377608661605,53.218323473669805,51.62242566508167,50.383321316362384,51.01019274153894,50.32711306631592,55.404440568866775,52.57116926537682,53.954929145199436,58.32636931689623,57.65515044487936,59.02901944470642,57.43026489421152,61.525061516120786,61.02776136344964,56.42749557068734,60.35393131448308,63.266188536820465,62.61305110931066,65.5013123400038,60.58889238130159,64.5375525140018,67.61259569842898,64.23590633461949,63.39565731520296,68.06022282540266,68.45543012848503,64.5064034018013,65.3114828919584,63.20951811710483,64.7749831793674,62.46484308862196,58.920665132600554,55.84365020921737,52.97467364211992,50.01193355143514,47.722998505240895,46.66276542879811,48.53459921144881,50.80961853325911,54.37238517168931,53.952484721993926,60.241291782951905,59.18825845346832,61.842868180181036,60.83310195425238,61.7614174105978,59.46417381102799,58.700887369046924,56.156612421407246,56.172710228897145,53.27924523601213,52.70177514124323,55.05161193067919,55.602322924569286,55.6856941930459,58.49759889254959,56.182039130205744,58.817166432713165,55.19773435474022,52.93634102648862,48.24503188360787,48.057505998711676,43.79460267245069,46.377140964466605,43.538347745314006,43.86938415999144,46.717091183303474,44.868243076695066,47.60769981724912,44.76344873287146,47.540359449841546,42.55340150593479,44.00136867114972,42.25293060800593,37.76760055950098,38.87233881667333,34.40133237965622,36.15115269939346,33.54632068381488,34.741861420320575,36.151012566986736,36.15587904549389,39.94653214521101,40.392295697336756,44.70795924402586,43.30880977663598,40.15665178127146,37.34785896489712,34.53132866708206,32.59113685015028,30.33544782148551,31.647636155571586,29.60747365357679,33.30194348635827,35.05898380423865,40.183629571694354,37.6302528362521,41.448069108629156,43.382501681400605,45.29640539486241,41.51577148491138,38.808787220070364,35.41099098876231,35.375776324568896,34.6477744478565,38.33925679919137,39.651828544135725,44.53805289198972,44.58158692094354,42.276798753242296,45.52100978459461,44.36704508938883,41.187619211865936,40.30943785081674,39.27373658359535,36.35043014094598,36.45180847158681,35.821932157772224,39.14282699646834,37.397031949152215,39.79755377193322,41.470393611707934,40.50091336538813,40.72905669321341,42.502651896944414,41.52964010174167,41.75943642799978,45.36366436614051,43.42256238310893,47.93543644636257,47.01991690695836,44.416203411118076,45.47450949182956,46.35152436282429,42.837052837755834,40.440303308659836,40.92125976680973,40.64423058061197,44.33021521404144,46.25729443470502,47.67417993023466,48.301975962829694,47.51582721277079,52.204641757292585,52.01742933132684,52.1527601722045,51.08711119441415,46.118552417485624,49.44733242095586,51.380030898949876,49.18115950208343,53.11956187395481,52.75924976752113,56.775839307693204,54.49814322143212,54.87948190045352,54.140849200681544,51.4006169546288,49.67517619387256,46.69036855868062,45.807246011626034,44.12691845874298,39.58894264320075,39.67867338421001,35.76447639443257,35.831877586300465,36.726968751281404,36.69556341442415,33.418028164448614,31.527900436597086,33.87354353646206,31.261366040988428,26.460295082483015,28.88134173923876,32.02190032377711,26.379307554301096,24.672700615340045,27.198819536833106,26.474104987924957,21.433707054150712,22.692096354374794,22.29952382832466,26.921989749250294,25.13394681561762,27.93509772345065,30.85921032154833,35.255997151568415,37.35907442970586,40.2008097749298,42.68337150083309,42.5799247560212,45.98863226326796,45.14672745412616,48.431136989289044,45.7354364639681,40.849635177377785,44.61161561056987,46.23457104859086,41.555405639729734,40.90081954364299,44.50489247098096,42.34221569250366,37.8921986684088,39.75142984207976,36.53799031399113,41.43232838302548,43.60523402321134,42.40792993151671,45.4981967754792,47.43350652041286,46.181173763534034,42.0824586164916,42.52503433811239,43.963198171823215,39.872003355981086,37.50782610006564,39.34571376835526,37.88217922846719,34.07402523737247,37.07658680855718,37.552065685532654,33.29632025624055,32.83301587498388,36.151697272608814,34.85652710201573,38.51338779727809,39.03691398754555,41.4876865347223,38.16083132777613,33.868284793787296,37.899214183686155,37.194456478002124,33.557465286793914,33.80267902416068,38.15971959100919,34.65380311958934,30.541544045668747,34.276128959995134,36.70715754991625,32.56716144783332,29.579311892348546,25.57584424099551,25.995490164361385,21.520110671336354,22.53358114662175,19.15734590225857,22.59067122555118,21.12516347244418,17.357970400765858,19.53060419636876,20.732832779972803,23.115701098745067,26.95386271780142,27.315429382206148,31.843234401056716,30.870314263222383,28.7809240740549,30.9694236735343,30.50723859051052,31.646908964816216,27.681554866684504,25.2515787394587,27.675347382589003,27.495977136019324,22.193334597233996,22.859586545598713,26.21022419490731,28.38168105416931,31.593007563213533,33.382108776949956],[18.394958528716884,18.82467995574349,22.029536940537568,19.19968441988362,24.91678051930318,25.473300271030126,28.707729948932926,32.3902205046237,31.933715657711158,34.10978735449408,36.59462415713736,38.95516750050703,39.35736356951913,37.37165974442986,42.35776982821964,44.00142047967944,42.329742115232044,46.564157489131865,48.07845244018204,50.8078218411253,53.52099678700825,56.77919655220665,57.23020421966165,55.66354222899721,53.42391315603725,49.67153884357049,48.07072604066396,44.82039194235176,46.29676249867611,46.10308403417912,49.40506637319674,48.73598134762243,52.07098818943598,55.874587159476725,53.66079183217192,51.82510874861258,50.673441278652845,50.902709249319805,50.02341920355169,55.00034494069177,51.94083755701314,53.48385772997315,57.847892713335895,57.026295429904145,58.19066152514594,56.4471585951176,60.52503233468259,60.25864111072711,55.651011673453155,59.4266087476444,62.52393133979261,62.00774253495618,65.00430033884263,60.18045371899423,64.27257722308423,67.22375982684898,63.78556606375986,63.166219263594506,67.84165199815376,68.02290300024748,64.14060718103111,65.13426339651629,63.19629476723257,64.55584727492388,62.12333540574359,58.717310873523154,55.61641298101701,52.95552026627279,49.88843786321886,47.85798712460871,46.652446661928664,48.55674493292638,50.98132327395588,54.362628064309064,54.142213606432776,60.465891300516645,59.289097202248556,62.13788468033135,61.019416540976636,61.78578760894466,59.59055737948905,58.63464035025283,56.29441599303853,56.065533929226504,53.04440907294085,52.68395028012468,54.97126014998737,55.82996960571822,55.78497091872998,58.89825902982678,56.54780939007136,59.26689296033056,55.7584176785618,53.65346450524822,48.934861120560356,48.90399922385306,44.58991598184133,47.28097305336192,44.51296076429059,45.14100981844685,47.60032764548311,45.81729547283307,48.22854019948571,45.3904310170591,47.84107907431208,42.86430277857928,44.32514926952327,42.328420672921034,37.926844473103586,39.28623633218482,34.82610978380209,36.33198968633207,33.87303005711434,34.6925637668483,36.177361075719595,35.84329748227171,39.627683712941014,39.72570531400188,44.15573893339414,43.09930394188983,39.88863590690107,37.240657972700085,34.10687867097663,32.34366391273998,30.345294535758654,31.37213152719223,29.742495807059846,33.22563834101512,34.982069476316966,40.09410986533651,37.21600410378439,41.12810263433544,42.82228213589485,45.03402407029809,40.966352831993575,38.3463254661282,34.65120224493098,34.58851507237487,33.77168864392273,37.617749172132285,38.601114529957464,43.463197942214954,43.80634488831047,41.6347952446033,44.97990984117502,44.14252616573301,40.9386475234332,40.38460620374089,39.49547481965757,36.8472449503371,37.18166892682783,36.89283188934108,40.39875511935583,39.03848949860869,41.242420346409226,42.6503928676599,41.40469603178691,41.531540199909095,43.06232883719504,41.88335965030212,41.684161148064334,45.27915721665801,42.936372786872205,47.52987910811242,46.35193729555082,43.40576975245751,44.49210907444059,45.08245645625487,41.58896550419572,39.272779042061735,39.98285148032232,39.87994849363289,43.81149315390003,45.958079635423836,47.587953504632786,48.476508436377905,47.797063694722176,52.560936111405255,52.05949835121265,52.2250249799834,50.822276578773646,46.04971725752528,49.128132312231315,50.86582274948214,48.596536451559665,52.50087390874311,52.161959554236255,55.98563983882733,53.451319371997045,53.87580993150493,53.01750339854619,50.48193735197787,48.70145374414732,45.793495233817346,44.96320079125793,43.25786082527554,38.729977702321854,39.08537232517174,35.29540421475434,35.7250962977982,36.721849899839555,37.04085931302585,33.70301084045156,31.629705323435175,34.27619579149378,31.940745989424183,26.776506830082155,29.36097082417009,32.96192410751397,27.43291926613239,25.610268113697476,28.36732030195501,27.97967578904713,22.83126175135515,24.012724802924108,23.170745882505646,27.9880581415922,25.29657882112735,28.28727834263321,31.444492875021133,35.56930394298268,37.81437667346625,40.41005377108588,43.04123175152331,42.78668106769009,46.18262205754832,45.35672457304284,48.403263267599364,45.627851914799756,40.750439496971225,44.43312157466881,45.78497874858236,41.055890173492145,40.419356243873004,43.846373676193906,41.45742515429609,37.0658817450736,38.90439541433988,36.06908440672211,41.17293588608821,43.42971478878823,42.56377903508426,45.79545909399219,47.99703567952532,46.75732631248897,42.49129263745647,43.22520510728692,44.86827256856021,40.68746510319498,38.33282691756794,40.50006529459133,39.19836849881703,35.26986994107683,38.28875202110872,39.04828242160484,34.923768764884414,34.232705218609944,37.50559352121636,35.931203957191876,39.423642253273215,39.76213932477572,42.01920014308517,38.80507750677349,34.429897968767285,38.176770528374185,37.37971111515819,33.786029187826806,33.74540973230222,37.936733148105596,34.401845258019634,30.216010542454857,33.70780133257891,36.0363115664516,31.861442669591906,28.80868367073471,24.946635444830424,24.95471203907749,20.559834196893515,22.1712334835312,19.069695484435968,22.758889720384104,21.790029852308827,17.646075326300323,19.335547632433432,20.005133877961462,22.397678236437393,26.509029347877995,27.161288762099385,31.636766141783706,30.77546692886724,29.29007885023195,31.749617187334753,31.582060017736083,32.927495715156915,28.646379768207193,26.59560173545905,29.307411788461337,28.712986562833727,23.510294626243137,24.730902230767025,28.214697909463894,30.167144139267677,33.414663774132094,35.32187409775176],[19.501955641243097,19.497144778284525,22.247119288071723,19.573430524000905,24.785888917046826,26.27698527499498,29.38617283891107,33.31200584473107,33.211001364513415,35.1513493187063,37.91262170018645,40.35979510625545,40.26228597927848,38.41734424551741,43.51525228685257,44.95951832688287,42.952208318695256,47.155177987917384,48.413051093384595,50.99877740392268,53.61878061023038,56.67223720095074,57.075858016401796,55.29718522692508,53.08299732437888,49.52900172653902,47.90535652667291,44.88301725549131,46.654128226037656,46.66152352282482,50.35915230962734,49.629039975118324,53.19168037064456,56.85910248714546,54.387989151268286,52.358927485681875,51.11545637421128,50.98064172054007,49.8288004563957,54.534995873105316,51.373789638388715,53.25352685091758,57.54379015958754,56.469548213161225,57.442579746817074,55.463010437541094,59.48475785087555,59.466270062773724,54.77532559580096,58.2613392260559,61.562306196977445,61.142656861600656,64.30508017024275,59.647583270494486,63.870111178265454,66.76705609300755,63.36977655421738,63.011696214920306,67.68410686172251,67.69226832440143,64.00124580888877,65.2915450433614,63.57430126926277,64.82093593146904,62.18044435657268,58.890824013996095,55.97394894229599,53.515054903941646,50.509930324265426,48.7763095109808,47.52727683745539,49.59539613125432,52.03367307858071,55.16575324274412,55.001899588230636,61.324676339791644,59.8608893645735,62.860935690460224,61.511392709139194,62.01532272161938,59.78815784470286,58.52700100238592,56.2932933687167,55.711364167781355,52.65717651105806,52.63142658231237,55.009027131155484,56.1575304952232,56.18265637552538,59.625853336871195,57.39149915382352,60.315049473239846,56.93556222244362,54.93107564518838,50.19220653816269,50.43451615597894,46.07960504294877,48.627644763889336,45.837030999402025,46.59619874938175,48.61324583067115,46.651551828374835,48.76245336425202,45.72226547692616,47.67596616543031,42.69610219376485,43.96072281674928,41.638585082281935,37.35467059241826,39.11063053257411,34.797223995317644,36.25399004675644,34.186640136225144,34.711347785565565,36.539303016250024,35.904785963199814,39.759781038937646,39.55169928023458,44.23343764023308,43.50838922702316,40.340932997161104,37.810506075806714,34.319765190107866,32.598580063856915,30.73786908082138,31.164782013558803,29.676635986413153,32.85032006766082,34.39443318290115,39.42831777976557,36.077578094237346,39.93919018614422,41.488667607663544,44.083021465242744,39.84011132800226,37.50423806314287,33.39110477888516,33.62386262137977,32.95611919143314,36.93495663466027,37.78263601192059,42.6013054512613,43.3180533517052,41.195008073766765,44.56667277112473,44.104405768214704,40.86745699781047,40.59298542641477,39.69504099425181,37.4165755429147,37.77951752638831,38.007553722267254,41.512208184945784,40.680588572578806,42.830344440684776,43.86641602501368,42.41991920160564,42.23518856106126,43.65748864406652,42.02457681895937,41.44364659080984,45.18488738964273,42.419072563157066,47.02777114041629,45.43357049444324,42.186098071083464,43.073322176460934,43.35048533322613,39.78401756807503,37.730626793572085,38.60221776206089,38.85265478283224,42.9760465765933,45.3629053975363,47.27570304180994,48.38312348420998,48.008399833511575,52.703649883754586,51.875537105483495,51.93851773101298,50.174856138026705,45.53256859543431,48.204657992461094,49.70101982060927,47.47569496844828,51.492969555720116,51.36027627799785,54.87018195350639,52.17693975895437,52.449584165289,51.35661494923206,49.04049801403558,47.039829696486315,44.152855434172736,43.26357355393334,41.39927879095531,36.965429599091514,37.47100538257953,33.763757892996416,34.685697446676286,35.56064062123944,36.35458724781655,33.09536914973699,30.63102038008134,33.48605443820392,31.626511881255524,26.08955532734341,28.630060417705035,32.74451198873818,27.543063300452484,25.466446196819273,28.360455177990005,28.53456413664644,23.32788881723904,24.197141622269676,22.84202030208929,27.703587879911797,23.969971645804,27.203728002352474,30.533876771408003,34.26884527421992,36.6164919748394,38.926450057526615,41.773512339909914,41.419911897971964,44.829567475124236,44.14535840279814,46.87427255680251,43.93887986999258,39.20698056748301,42.85071390577172,43.81490627968333,39.04861565596753,38.56010539154063,41.83235844911137,39.0953136886882,34.80885942693253,36.84781520929099,34.358053910664616,39.78674176291003,42.01777362566051,41.45485494783789,44.906193910009904,47.3308339196731,46.264558444784456,41.80596807879004,42.7228349180577,44.7006083236811,40.53901941398247,38.057019180937225,40.566759322326746,39.54161343972062,35.45242840572198,38.31467945823513,39.44410888225665,35.582525553852335,34.46739609119672,37.58525364703224,35.67196445692545,38.95566969879454,39.1678345528722,41.100418765925255,37.957432600208094,33.629059291507815,37.033025296400226,36.01785586498686,32.509522038708766,32.275259129806244,36.13547234217636,32.51069378264485,28.397242171333396,31.663541274341053,33.72642164653195,29.500693078224785,26.48719703055933,22.91988304491958,22.357071129965355,18.177815400871417,20.306415361273608,17.76344980117586,21.75611855124831,21.596461827818867,17.128589524931204,18.25009996671796,18.19535211354642,20.75413742039378,24.999376974431826,26.248196737980546,30.590247272538637,30.119928270379074,29.089975727128387,31.943534482427832,31.97814428952481,33.78564899992877,29.282726172714174,27.474044436057962,30.623212399848185,29.862064789039838,24.695341979052785,26.389428484094182,30.165143365172156,31.940358313560754,35.22419876174014,37.19818628875892],[16.682543893361704,16.03585995970548,18.19653287707119,15.321422709193588,20.26145783893501,22.17295829357772,25.15919264117863,29.197861363046055,29.343910028119666,31.18236010912944,34.13741794090549,36.557431247347644,36.17196771023646,34.553055969125595,39.68088831016956,40.935260839316975,38.83148868981409,43.087063457350204,44.40964544020432,46.80484433671566,49.51491479828227,52.453025411397036,52.98647955471119,51.242224359664974,48.88334096247923,45.399930281619426,43.61417977135958,40.609612138231796,42.39628815114312,42.390547552395596,46.36320927822863,45.47733097120361,49.16638459845966,52.78342408874111,50.16690542445778,48.11301307065457,46.744034594132096,46.56272737183547,45.35029928636552,49.95986525974998,46.900759320742026,48.89515720196258,53.141802633957795,52.021440309504605,53.06273583470078,51.06689686787683,55.09268577100118,55.00232807911743,50.257853099158375,53.74166781419076,57.00213741561438,56.5386459915516,59.705509619615135,55.05816643865984,59.27711287611649,62.22882535152846,58.88702707464805,58.53407445820007,63.21070278687259,63.26256745426218,59.65104858935762,61.02552177863225,59.365487117005806,60.709278822633195,57.982430996104306,54.65612730991597,51.963430544631215,49.4958191450583,46.686902201169765,45.03041747470785,43.90466499050254,46.19385917986512,48.446983203990044,51.4586251485896,51.12791957947027,57.42575840877759,55.74527630710418,58.73811320834415,57.24758508892192,57.640851163852254,55.3277706605755,53.979489954432,51.72517823727946,51.06664529318488,48.03590511504052,48.082926327415116,50.551841220137185,51.73475737809701,51.89180275138066,55.43181255323333,53.3359901493411,56.420728715859795,53.09915188053162,51.09591257039596,46.35443960302598,46.81781928957118,42.45193115495028,44.76797243105967,41.93745486655481,42.77131964862383,44.47876431721839,42.43682197877008,44.376628263396015,41.28510949076568,43.08741158913287,38.126613215003744,39.43660448790534,37.084799455362585,32.840684680945145,34.62967401315963,30.325221103309843,31.681097943302717,29.750271952911113,30.204847187665013,32.24087974593119,31.603564544967888,35.54732049766509,35.40058405733495,40.264574135088424,39.49539913129808,36.442341869385494,33.85219745071254,30.291326445705508,28.41194610864774,26.469774819134173,26.62117087925543,25.130862908628444,28.215395740224885,29.758764299664097,34.78272115026928,31.45830914614749,35.38739107123284,36.88121888793132,39.433734108275544,35.17160191478893,32.82306227189804,28.73975176886913,29.01584106714862,28.476082806284104,32.42331375236165,33.5123653175538,38.35586007091126,39.02984163088353,36.7931008360568,40.107119476000285,39.66951725447987,36.419600068749766,36.153766298962424,35.20391297741803,33.082994053059245,33.47334954373639,33.99386497897169,37.54389324344333,37.13747948890204,39.14659190119565,39.8927089533807,38.30507926844302,37.95640483641222,39.31281744960467,37.500297459637274,36.82805260128883,40.63744522015615,37.85101021110814,42.43040899222899,40.81061372482071,37.669609643253835,38.50396104203286,38.91735976346227,35.332730328440334,33.22694711230287,34.00421117762208,34.23082819031837,38.309418199386,40.69340805700332,42.637894322463836,43.77968431485962,43.50382423985938,48.15871721522665,47.253471870503645,47.29116410598977,45.49011531028433,40.862716724160904,43.52725271609393,45.041783077390804,42.808024381344026,46.84111178126356,46.75004566547157,50.28156713962152,47.70372265925145,47.914155086343776,46.86795710890664,44.460095878114096,42.49952573122703,39.60268206619297,38.75338939841886,36.99664132242608,32.50378278482074,33.06137669013691,29.427638740153345,30.257529087149305,31.417334246198802,32.185709688796116,28.798588859591067,26.548275379457056,29.657898724963818,27.73163390896471,22.126235622618086,25.07103854538139,29.339756515730155,24.081591215133983,22.270185725375658,25.52661496219116,25.62638331992043,20.53521589403852,21.900970918462775,20.18097677782146,25.50988680928247,21.518884330016398,24.32684869873552,27.969306981487698,31.700755403912016,34.49269421248892,36.475147104891064,38.943379722815465,38.246997052470945,41.47491624727981,40.460456270059915,43.24851883685649,40.56745375320387,35.53501583642538,38.99919664804019,40.197923517850285,35.47178725449312,34.672269776592394,37.88424479890041,35.49266380426809,31.133424017019056,32.71913905352386,30.271477924184637,35.48895154847443,37.866601511163154,37.46204470262413,40.80998392823681,43.42443242352205,42.14795361353367,37.673196778483785,38.93201970574743,40.84625075456017,36.53369399108162,34.285203146435414,37.04197271948425,36.039829415200714,31.973193484736445,35.112070789924395,36.40736706598509,32.592970414909935,31.622416860459047,34.87262638103556,32.80097672708489,35.87793020505199,35.71627051702483,37.7786506602751,35.00320736463112,30.318760926183284,33.542678622870405,32.91335728671889,29.432210517087988,28.716544944229568,32.92151225585801,29.707199499943574,25.137228089096464,28.165259110746867,30.76039735761344,26.839619621806968,23.482158590804612,19.584181592636057,19.751479379309046,15.367996754921563,17.942465861501244,14.690005093228862,18.287551517031833,17.957705113403495,13.466547018664583,14.227784612940068,14.30317274288245,16.497703422048207,20.84902924264466,21.791175424307955,26.109044879676375,25.52222229956467,24.85431888887592,27.75545901072051,28.082792299584444,29.915365969600366,25.214713973388804,23.845806484962445,27.176699343747917,26.02237720943932,21.06457231523911,23.35541477795902,27.20511217695932,28.673369402272723,31.949709664085674,34.04238137210972],[20.458474778673203,19.514270924065418,21.058995858970313,17.55742436049956,21.97633937269909,24.29575792200852,26.793188305177935,31.109815963517622,30.993073069621122,32.25345367546044,35.24209606373582,38.04083051207421,37.15917210136333,35.20000255512045,40.400861929506895,41.717969502929364,39.211497885191754,43.222470395376504,44.02845917632178,46.59631993095522,48.993308820806,51.91480471943032,52.155043918706966,50.170913592153475,48.092628844158796,44.69425602428516,43.218890068256236,40.47313353908258,42.63191373743209,43.06304499581439,46.9577321026645,46.49810403587055,50.281441363637796,53.6329040191431,50.94232200851012,48.56981338551407,47.50578430451187,46.782482613117764,45.40006509597202,49.98333630356968,46.52987555778713,48.545055119426856,52.80015117799977,51.5827201507806,52.30841044452822,50.21863382987333,54.22301816433731,54.43682709584553,49.7998296793085,53.179991329954504,56.649319764155905,56.40786109355995,59.63680100810804,55.07393239043294,59.46232265763273,62.15457052533338,58.65773460827148,58.56553905694984,63.23047626163605,62.959071958558425,59.34571692686802,60.85388773372288,59.36616643323561,60.34415890817181,57.56053289647128,54.46825569880491,51.57612822422147,49.41531537092049,46.35287164296933,45.0184328244631,43.62863385027792,45.80582201543276,48.3424750079418,51.149007609685334,51.2079846109935,57.513895112001165,55.84892921654838,59.09884734371708,57.60253250766673,57.883143782520506,55.85370182431945,54.3798125974573,52.51324780830928,51.65243007114573,48.399151962912,48.61477962381059,50.81880300553678,52.401601540704846,52.20034536179753,56.05377937542176,53.79108792928774,56.83426881969969,53.6665569106616,51.928087191155846,47.21041272218083,47.74175177590033,43.37387593108755,46.02141393651156,43.40955727697771,44.727900805451554,46.02010682962672,44.333438229668,45.82127866491771,43.00379118501403,44.542750556814745,39.70925652188169,41.22120178301271,38.68243954007955,34.62867599249828,36.54352010249049,32.24399883551119,33.04361557734316,31.112866890868624,30.97624179876041,32.78345303777095,31.664982884824965,35.424442532811526,34.75767787516226,39.556390960128226,39.280324565323376,36.116166885695264,33.845041724399834,29.983068372005548,28.543046792902878,27.146334991780407,27.210028177965402,26.628211601514046,29.39684341590268,31.104160340234063,36.02398733814764,32.50033663180846,36.60287407723261,37.62352715850814,40.447436135404615,35.763092333935106,33.39487725893506,29.12325589722946,29.012554777251747,28.11182377546283,32.20239637976855,32.58629245164038,37.323908032008,38.351345175742054,36.43093107076553,39.89708132674037,39.8458627407701,36.638328297275415,36.85715350995734,36.27786203240906,34.46610292933071,35.33300052981016,36.05010027841948,39.90821348326893,39.75966969141207,41.39370777172882,41.94693326811587,40.003076320930845,39.75675666945556,40.65666471928491,38.879733846337224,37.616686413187985,41.17732621492567,37.91667395014572,42.59077039489481,40.7843276756241,37.157309129374994,38.249746350200894,38.25678562998798,34.861975264865414,32.73271360466899,33.91247267210258,34.208758474604004,38.60867244683866,41.23057886460755,43.35640805787997,44.86042995511613,44.5266171633673,49.347520422722965,48.06684849159465,48.27580077304738,46.0811991150212,41.86222814811704,44.30148634508694,45.571728965173904,43.15707733662662,46.93399760491091,46.687602994005836,50.02775643233485,47.016138560719085,47.48186550940248,46.392612742847255,44.292659247315484,42.45174346058133,39.77171703512231,39.134927201812,37.51825323964841,33.05476981190077,34.11412316100125,30.819777750359613,31.987722340441454,33.47659005369059,34.53792902995671,31.053561916073694,28.87948195499117,32.33089039054857,30.603643243502262,24.85840196115218,28.046979467505228,32.5982073914636,27.46302914514283,25.75797437245903,29.1672388163134,29.360827427978975,24.353811721347906,25.785396872125624,23.826595154097998,29.194353847232975,24.575077576221993,27.404920262061296,31.20450232365825,34.60537732842143,37.50416495292163,39.19643538915241,41.72577569616154,40.81008655955742,43.9259352430485,42.826197759575884,45.337955948010325,42.688869330327364,37.645468007963956,40.87918885592621,41.81044550562977,37.10970104567425,36.218571191716,39.08281949267193,36.551440714621634,32.34813531848493,33.613956028955855,31.82558045522546,37.054583479337154,39.60121285162553,39.668372922342186,43.0396822945836,45.97252569643628,44.572346153552196,40.015976335903815,41.70223054956017,43.68310317992414,39.25508644812358,37.21189351353621,40.24628298327449,39.32361344658654,35.27636047693975,38.5153337271645,39.98334045560035,36.25196062056661,35.275660291499506,38.502515791439876,36.25756222429096,39.12551843932382,38.70677978866486,40.62365626720509,38.08484290166682,33.32257641427293,36.16440636808157,35.564201087703296,32.211118956113985,31.070128656475376,35.0806167433479,31.997869459368495,27.370920169988576,29.906220144576732,32.43919442088705,28.632258954153066,25.222117889305633,21.623405243148518,21.309212453083763,17.292561609027068,20.602173605330435,17.77030460273363,21.28781940937678,21.250225473203677,16.753566906368253,16.881561344399316,16.34773298653095,18.141649144597938,22.703345260951195,23.674434642580515,27.770909961765103,27.069545619730242,27.365034886128065,30.33147712253185,31.063767198679564,32.781025926319714,27.840455982728972,27.05613728492639,30.366222293463412,28.60743201688768,24.054330619163476,26.769402763067177,30.43705180932711,31.643035919159512,34.873611051190984,37.091655826030504],[21.094406174661724,19.513142502769863,20.05546709587112,16.593902457415933,19.939871158160543,23.20976985646769,25.293731922267174,29.7783632445125,30.010060005603737,30.882411095279704,34.1247396605157,36.97501768577302,35.479627406812,33.750128868647195,38.959585720291095,40.000448840622425,37.15724752961815,41.082204857235816,41.65553231040955,43.98852377658541,46.31134185998415,48.98300428878369,49.23691335104518,47.10506848291745,44.9952182619646,41.82706554940718,40.285292928455235,37.793975985659955,40.21877610071999,40.859414957401825,45.15468395528195,44.63041858225467,48.6271896832959,51.77224871117445,48.82119033123428,46.26335318997939,45.1199367661458,44.01574245005915,42.37773844130415,46.67246562706087,43.16267608903276,45.483246172878765,49.630126264944636,48.19282744499682,48.78074072864288,46.5165207078572,50.463181024237805,50.84073052863399,46.1527578024496,49.306789481908034,52.90581767507754,52.73922898011232,56.081558522268885,51.673737854104424,56.15670774844336,58.784898346157185,55.34263053342337,55.479575469770865,60.120075832219364,59.70785300009088,56.29443957109838,58.07894156130545,56.817428142146326,57.72097711000189,54.740719427960904,51.76006942019378,49.14018569561287,47.18329685741618,44.29386659950581,43.288168638210514,41.93354146894468,44.3384202122324,46.763085864108305,49.25513644543087,49.29383397201679,55.52934566821069,53.5357520178748,56.90335011852733,55.163347535269615,55.170715219742064,53.12695396542131,51.370698920746,49.656114077137225,48.47316636681812,45.1882958464339,45.713520060359365,47.971704898117885,49.84054135227181,49.71031400608622,53.87860296212892,51.77905681658537,55.04147865323175,52.05337094755753,50.440571898727995,45.762930729663985,46.63402988917518,42.28826838022074,44.70513736705801,42.130087199033525,43.66054704055674,44.35480299049332,42.60125649077323,43.652019703270454,40.772362699929616,41.800230319047365,37.07666276231971,38.534922882280476,35.74671453382461,31.920562372714176,34.11234382940253,30.006865578986,30.519825258243074,29.003239930722298,28.45593037040353,30.569405694494744,29.14291555148389,32.913820636743885,31.988263521180183,37.0191410244372,37.042318615976356,34.02311461346058,31.897452454193697,27.742502260487015,26.344717083565733,25.162315661227698,24.543237837151224,24.347324165498392,26.651753590162667,28.225320618600573,32.96340076379499,29.141449272443005,33.26270966008225,33.98622454682818,37.07657043475859,32.1870858736075,30.025730857083655,25.490009275603715,25.508815283594505,24.73939761806886,28.883746810799,29.190440123039252,33.845593101845296,35.17737675809959,33.29424460511483,36.73059502143506,37.04891044852789,33.85913519524227,34.38965226300995,33.86475093624772,32.53033866419515,33.535432896535504,34.820819632519566,38.701646105124055,39.217096582296996,40.61925453893211,40.69343268346589,38.47973526750064,37.94715069933045,38.60667078969399,36.43750664502981,34.71664238898918,38.32222515845471,34.67559242932331,39.3162552388703,37.17337277659154,33.31734819671816,34.2892744546266,34.08216059820651,30.68870098829585,28.7072800447586,30.03154566979151,30.57713447450782,35.12209224627888,37.942221034276415,40.30651664901885,42.05401206387417,41.981204892638985,46.71910133074978,45.093804807029485,45.25784675480485,42.721685765817014,38.740421299989514,40.82499894475696,41.87849106121667,39.45329266893955,43.22806386364687,43.11724418650237,46.19971799987828,43.08457061494223,43.45607196207685,42.24176952140748,40.299419147235255,38.388113469180006,35.78883935820402,35.2123244469982,33.63828592912641,29.24261542601875,30.59968912901482,27.59079372464526,29.089401988370124,30.81091738328313,32.20719810016351,28.723036597390514,26.569025434722487,30.357981872451123,28.966253936675315,23.124881840957805,26.55062998071243,31.43650201191865,26.65359231855778,25.110412636842508,28.74830397773862,29.194328903583436,24.475013845005126,26.034885021525735,23.611221503554265,29.095410356051595,23.778920264225267,26.294024596999023,30.328541043080318,33.32698755601035,36.58474843686902,37.769535610013136,40.09354503991927,38.81112624867675,41.71277339823574,40.42719197021917,42.692154075603526,40.19746774548776,35.07004289733692,38.018330172785554,38.8214298094484,34.19960211159424,33.12372477190896,35.691594374832796,33.228206194847985,29.140986539262393,30.01003897848939,28.731921241389383,33.90419038012958,36.57270445106595,37.08802986714952,40.465887324176975,43.72420235385535,42.24755187440616,37.61021924718227,39.75643592751893,41.86470231007884,37.37735541725629,35.53438649075342,38.956161415968026,38.24019038907822,34.21785104676193,37.52445349456856,39.32111880217061,35.86167003444339,34.78908589143763,37.94822294674883,35.42050151100986,37.907840158194176,37.07994599640807,38.841082847936526,36.73205972826997,31.81768974152297,34.14690665826044,33.746984352452706,30.585247296577368,28.84936339522309,32.787837186626106,30.09787789741602,25.26647258275815,27.216090418701494,29.95924874590932,26.515600226953868,22.93408330505819,19.50594747254386,19.31425372843758,15.672657928975605,19.69095532119488,16.9945340023369,20.05727356795842,20.45693385149138,16.155425993725864,15.378057140923158,14.253068650279364,15.47985171362914,20.05651681290095,21.131754489176085,24.900573882436664,24.342855087859384,25.526486209618056,28.696570113111555,29.85697984726326,31.783547690383237,26.66637756187485,26.52854905389784,30.07414187987783,27.862050009234697,23.787602746120715,27.123363033922296,30.81840228328771,31.632112935125242,34.78126904543993,37.09353095813845],[22.14517563211062,20.39375156018125,20.532709230717412,16.02366549377029,19.27512654559888,21.993858726963136,23.547219054339642,28.143295256428477,27.753484698508792,28.13038367957395,31.20779661362673,34.412270814587686,32.748897219924956,30.543488586080322,35.75317115611331,37.01298395883971,34.03562421072354,37.76397798407499,38.099979338219335,40.7429192686481,42.88973010776595,45.77542165519918,45.8292447369076,43.72278477015576,41.808924362054604,38.47117769428759,37.22987034420592,34.71809175837406,37.21870593306806,38.118468606797485,41.98941493183324,41.962087029191785,45.871580065721204,48.85472969631856,46.0488808694842,43.337052123896584,42.60555031748686,41.31388971918132,39.812091128429174,44.4372396620955,40.64167453514865,42.57464702461127,46.835221313341854,45.61417973482233,46.152587199252906,44.11676531741697,48.13205889880852,48.45847178662172,43.980713807772496,47.45959150275561,50.98230689317544,50.909082204671805,54.09170211212735,49.53902458878096,54.03767497236691,56.46766034580162,52.813813141773224,52.89400392250893,57.531953176580664,57.00987718902804,53.3633376363455,54.95859952041517,53.63176200818309,54.320257730002865,51.485651638656265,48.5849151415235,45.59710355198886,43.718798740198444,40.54396531500861,39.57993440317263,38.031886148078236,40.25910305027029,42.89739276617526,45.40811438019293,45.73129065151512,51.995079414988474,50.25203853840295,53.7359551173659,52.201231955694375,52.36350915317527,50.641118440043286,49.10006299585293,47.68326264399295,46.71690823379207,43.21364627637935,43.50413984371126,45.377952509777685,47.35558552428429,46.77943165107297,50.95820099903726,48.58530855447641,51.650557525964096,48.704615572237444,47.2740962991574,42.62963837462183,43.38854550556342,39.06744794500921,41.921851907915716,39.60711307826087,41.60818715916517,42.17094840096791,41.02492488621644,41.8274706944821,39.51531846655753,40.83324887021516,36.27638121148709,38.28065526203485,35.73440110952531,31.98937277164128,33.767540541269824,29.46647643894598,29.307553450109513,27.302590573012562,26.380350264566324,27.845582278242375,26.213358608178453,29.744062165153426,28.6488103871487,33.39722543177215,33.539637418833195,30.360540614550473,28.41400221282989,24.263615883315612,23.258751546074368,22.536381892671823,22.524654069309836,23.295396299052502,25.618882811965896,27.72479921179397,32.44308314787746,29.14710157953604,33.5687339417874,33.92380097871043,36.70861346647968,31.582464768085206,28.935059470968874,24.887234984469245,23.923549420144656,22.489219537126292,26.61137256563219,26.37568480590073,31.035147343803764,32.20934720398216,30.56253395330298,34.14261063032111,34.40483068381796,31.283667778530546,32.03026617060541,31.94861835315967,30.57594660828067,32.15386627581167,33.18507292350467,37.469484131182675,37.90756602556001,38.837477894445776,38.96023765237667,36.48051468239876,36.378149179966194,36.58632902588672,34.97196972879532,33.01381315717594,36.151044537833485,32.51385079872051,37.25425765695313,35.497444590766904,31.578073765501454,33.170553934436064,33.067445449534866,30.03956879248786,27.550310377040496,29.046324905271433,29.07255588398171,33.69233507773304,36.43868644264259,38.62763233581601,40.52524666713823,40.01031319950911,45.03670139738261,43.36731250841574,43.86993440190573,41.36032315487743,37.68558155513925,40.103249865997974,41.24190130650524,38.529900980483376,41.82804303937088,41.24089614539571,44.58662663652378,41.25999396112938,42.139637928282276,41.274999353554705,39.30876477789005,37.92340779800657,35.55660863031617,35.35061060142018,34.273509050489764,29.774901682392844,31.48471294816166,28.80237627985026,29.856985750567784,32.26918941101195,33.27950989320714,29.516304783192037,28.137009578703964,32.1032695988245,30.239661662556106,24.74182245728428,28.658459151478027,33.234976466604984,28.129297767587033,27.12710007139377,30.931362275257186,30.77823592005636,26.241036922407027,28.446833607018036,26.213024095577737,31.930387822532012,27.174855414338694,29.25521091169303,33.36235472832352,36.55291725837058,40.01124076936944,41.13123685717335,43.05582181308223,41.52954908593503,44.206969681185335,42.477352174146084,44.91716885364204,42.81437076410065,37.348316823089405,40.00661386000615,41.20281950891058,36.711939328978964,35.18126633142374,37.5611033436847,35.67512264100963,31.605890426304097,31.585413849926397,30.515627760497853,35.05049559222794,38.008419626243594,38.67870286099176,41.70663590733461,45.09877494795843,43.138546925835435,38.67622689375922,41.216056983417175,42.91497785552477,38.19551291701833,36.87273522908842,40.27507788392114,39.30612793728189,35.518970558442824,39.27221181607439,40.87877017200088,37.21283549379211,36.71216158538399,40.105907899874204,37.73650176943734,40.18177256169937,39.07026535266,41.17388052506418,39.38515770927324,34.16180756961995,36.48059209153096,36.584997595801866,33.44494034342817,31.35410061398216,35.706194976169435,33.44737516732734,28.29880319890775,29.993682147555297,33.262910165377185,30.145297533252588,26.371061634179732,22.684704754298277,23.180891418460494,19.467964032615367,23.440138877093332,20.0887449845368,22.583190275042927,22.121729479893485,18.187671642445586,17.489414392604193,16.99891389802865,17.41408905329041,21.934693275206595,21.92442890822533,25.603142306397295,24.231556670877115,26.067362667872505,28.78855445108948,30.30455913936325,31.528645119506596,26.299995521482362,26.78260355371448,29.884776371072864,26.93447814424523,23.433101631458886,27.05608761280708,30.255040058681537,30.7681450897085,33.812697496904065,36.2650737488179],[26.46577175911198,24.626365282271898,24.486062616625176,20.40153892900625,22.849448763792072,26.306683671699606,27.57251821284885,32.2291818186071,32.04651311396135,32.029232468819835,35.20438626251727,38.518148607782926,36.32413667128486,34.152385902941475,39.30578666957512,40.40206756206323,37.0231233389692,40.46813043917236,40.23721002912507,42.78478412445225,44.58699645400759,47.199248202475744,47.0028557287623,44.544393463688266,42.89686781479409,39.90650430229216,38.88482115644195,36.84950670236992,39.78092499801294,41.076192149769405,45.15132819331346,45.284797379432746,49.34422840774504,52.03464929960914,49.024475243680634,46.030232434586296,45.389167751120574,43.48694917465298,41.64484405798925,45.86298998561662,41.79336770571521,44.058234171036375,48.161572289503916,46.63116551119033,46.73886601180021,44.40418902304205,48.27785806831472,49.08484778201757,44.65865604534337,47.67669686043993,51.51753160244593,51.69531402972067,55.055335321999415,50.79572977000324,55.469948211836495,57.66059170723234,54.00285313773505,54.50853174745009,59.07602127648184,58.188329502347194,54.78359718334464,56.727528042693876,55.731816213987884,56.079004459593996,53.05291802553165,50.46032892348376,47.57542748495394,46.11544933106974,42.908607204183426,42.425838385080404,40.71568470203647,42.93760691014768,45.71186846278237,47.83337710297985,48.442953850369555,54.59796822106388,52.645145318498564,56.35454451402225,54.634911501576276,54.485776919394915,52.916275038751884,51.032139592728136,49.95055328447963,48.53308424150389,44.94230006955336,45.66840054412411,47.45056712237298,49.886711778962855,49.19432049363137,53.76772155932235,51.44482836712339,54.60363938693802,51.894803696904496,50.70649930005587,46.15093798983129,47.12658568185507,42.87183787748043,45.710081570563815,43.51928606008247,45.74588223814304,45.808804079887395,44.66204284761344,45.01894601833811,42.6730376710429,43.36722346390226,38.970831109137116,40.785588526431326,37.88434021701205,34.45148959552051,36.63814961453937,32.63811356760033,32.25189936809148,30.724273586254725,29.310071695932855,30.93012580841024,28.82085865942489,32.14144947475581,30.426885104771756,35.209914643425996,35.99830667929255,32.91075880118602,31.358446701284993,26.90936801265736,26.27767122873255,26.016824648387512,25.35637023746778,26.599484980156507,28.347624103369444,30.17902268271697,34.58174235873664,30.76463346581455,35.04861590252191,34.993598287760285,38.2900866915515,32.90133298800068,30.685969713392144,26.206796640723123,25.43785054603313,24.04049992424536,28.192623914137105,27.30276686896284,31.647694223861173,33.47848110334951,32.16077564858909,35.743058553951585,36.63047081398847,33.611653691691735,34.86966575282966,34.95309041461964,34.103425314914176,35.80857664717602,37.29164047273502,41.541390301343746,42.3986208636686,43.20317825680979,43.0018399482604,40.31059983015635,39.98248260507747,39.924368608581275,37.942433621887325,35.398231421387145,38.46283216923013,34.22141316907535,38.88741856871775,36.5934993138536,32.10658498475297,33.57481972077155,32.79134781818195,29.883399695317348,27.810680869847186,29.735668399944977,30.251067397319453,35.12978045669511,38.19953211553739,40.73205398825069,42.98298788862452,42.759445899091425,47.6796777473045,45.541675567426076,46.007950448691304,42.96849210286485,39.72696172274619,41.51902115501245,42.226023481459336,39.52650633630135,42.73935320280636,42.30933108266637,45.11312858683633,41.37076280963732,42.22340113326045,41.05538342701112,39.59388811512861,38.038098289778375,35.883926192975586,35.73135175667,34.55798172421972,30.331014993141878,32.43300948819462,30.101761265872724,31.840417029821218,34.1231478502587,35.722489582997355,32.154482983301904,30.400203328165855,34.51620836603872,33.255829979634896,27.56866200328562,31.27679860616132,36.25450032274234,31.621039438738908,30.37726957645799,34.14739370491444,34.51118909124477,30.000471661133208,31.786007428912807,29.238561886286252,34.75119492500839,29.117981500428435,31.42154769199691,35.55952806192336,38.20058005636062,41.63524515337644,42.412311530250236,44.60479273851109,42.98259483418722,45.611446659939936,44.07918510630595,46.019746170022444,43.7600867480076,38.60315259774838,41.08669929428102,41.679602272314405,37.25479142100199,35.92081284288365,37.90101658680344,35.547598903276146,31.806067141837033,31.887491650140895,31.592096200440867,36.38896198892465,39.29795540592908,40.453465930088086,43.677208993048275,47.32345898115593,45.57093628217944,40.972148963782345,43.730799013756446,45.76767366809523,41.15157692267444,39.74391162460411,43.436666992649194,42.75850218995266,38.88954718045239,42.391422907354524,44.315229939575595,40.93824201598081,40.03678158404654,43.20602300899902,40.559575847555486,42.75394200149474,41.53845519571735,43.20868744337954,41.53430792758687,36.51315437885689,38.34091750014235,38.169987548399405,35.23672610536995,32.93291403567448,36.68674835312669,34.40068173599278,29.538104297378883,30.73664831046055,33.525209014016745,30.492926963200336,26.924294787812315,23.916536246857433,23.51602487597883,20.504050687133592,24.93451614623929,22.50669369276091,25.180350489489935,25.578993005440406,21.558879650736838,20.33716748205596,18.94872533117345,19.389923168246145,23.782859327627744,24.496302782530584,27.740766289505938,26.858046137011236,29.33003789038226,32.33982771649085,34.02600076712195,35.60497495913895,30.34483564414113,31.00585920137246,34.345310806210534,31.350011028127504,27.988188901814485,31.74472807016306,35.07331896570442,35.50042361429414,38.50861647893366,40.952242526326934],[27.58369574951708,25.58211655550259,25.027101267118773,20.283918467695013,22.39172137342828,25.386010313496342,26.072475809769294,30.73007277444858,30.040994949837902,29.480010082032013,32.47614262916097,36.07976187729812,33.65009960571775,31.089992192420294,36.16230729983853,37.40873235245605,33.87521570464385,37.06172361478529,36.53978068708381,39.34400181996103,40.94111090144151,43.71778488161508,43.32189705152065,40.87603447220423,39.43149452566877,36.3226510843742,35.611032120512135,33.623951076027105,36.653005346351996,38.23038296550838,41.91575093188796,42.52143231474387,46.49402068597859,48.97558788473747,46.087292019643264,42.93657925225868,42.6919416230303,40.562928399907356,38.83260754302491,43.30752611331105,38.97612800812832,40.87553788369567,45.054061009880805,43.72018488453455,43.76407030005272,41.65342123739121,45.575026533701546,46.336739781052295,42.138118982679806,45.4447416063977,49.19599972402722,49.46835975725561,52.665395416124575,48.299374452985354,52.97458089654631,54.95928403595619,51.116249625833134,51.58805421819988,56.132948962008996,55.12928175492353,51.53030633979898,53.315298443528306,52.28891917848927,52.416072671816394,49.517523531277945,47.02954694018117,43.83397742202796,42.49728343699599,39.05279841994758,38.683008854140056,36.79422128504929,38.860890273152954,41.81277212823757,43.87963625669174,44.76780024712426,50.905421401013236,49.15580992648579,52.97767295257779,51.43040089775221,51.395110444925415,50.14363897160674,48.44466918403204,47.67565339236528,46.440939163918365,42.6613600582182,43.19146517387406,44.591227603942805,47.1564391222943,46.04423986556661,50.64653084750589,48.09765804541671,51.081418843671884,48.45930416861107,47.47737208879088,42.99980887373096,43.916777539435145,39.735718830263004,42.92331360208803,41.01109502533993,43.68516418537646,43.53347173434466,42.95634882369362,43.01715027917826,41.22031791296802,42.118604603958204,37.94037617324396,40.2323354043929,37.56865010039885,34.274007358942264,36.07859778327804,31.989203061196974,30.960498312893147,29.074319296551725,27.26305561737617,28.26073360620093,25.914181270296506,28.916508464168107,26.972181318002153,31.44724836867005,32.42704993548337,29.240718277473185,27.946923372432135,23.519696675027152,23.354336979782673,23.635429963068862,23.45052031110761,25.63120448180445,27.280507624727115,29.543451939226834,33.83013199361406,30.54284444517563,35.041134366438776,34.62787072841193,37.60608243701875,32.052594036375794,29.429490099220178,25.490260331827095,23.794370692223577,21.76903031757551,25.808603880746062,24.31853824200205,28.594003798776985,30.300246604626096,29.260546990584015,32.94336894382945,33.829757244533326,30.92687578693452,32.43993522806725,32.96271541711724,32.17018062524992,34.39702901763068,35.70640331782452,40.260930896372315,41.13080342516217,41.46621819170325,41.23976100448612,38.297580813897234,38.33098753841757,37.81533882406196,36.32787249846697,33.5311369566211,36.10239473181202,31.864488410986816,36.56868062815893,34.64323250722533,30.12161540328611,32.186698738278444,31.512463879135826,29.014237244176396,26.473117477485136,28.546024767537034,28.561084568611918,33.45551851489027,36.436603073212666,38.79857394704992,41.199559263328695,40.589635289338446,45.72737158120409,43.52442161954633,44.30641254654516,41.285493166310296,38.395762464979896,40.45577208388401,41.22559236785523,38.27440401548837,40.99134363162274,40.107672649404016,43.1302904649649,39.20071540856033,40.548100916976175,39.73556555801308,38.26272781641937,37.240618482041505,35.337744087943136,35.5462304143177,34.86780582645111,30.603128233979362,33.00099975396901,31.004978909403796,32.32157438490228,35.206883715702155,36.45485502623842,32.6856040879195,31.635599793587566,35.87652653647187,34.23651791674486,28.910612552358362,33.00422216929437,37.69314267634173,32.85554869616921,32.08682609004889,35.98619405626999,35.86379773651759,31.57315048967507,33.88745933400003,31.47434506036726,37.17728284365161,32.014539277639614,33.91101629012849,38.11239637159968,40.91584298951142,44.54867733271057,45.25198090975761,47.04745203586263,45.1880539144642,47.589951296425504,45.63940226506145,47.737599757717604,45.867705012061634,40.41032621099781,42.60574708833052,43.58445960303257,39.310217361116074,37.55094008942836,39.35071677622882,37.5909309568045,33.87905450986842,33.12596622438952,33.00274608558427,37.154460249705295,40.307555221050265,41.60448100836765,44.48048008982282,48.24138813275926,46.05111799806266,41.64368099125878,44.765222895150615,46.4258866312356,41.63238940751368,40.7148702160688,44.392140347882744,43.51286267556706,39.882616419816024,43.75731970391879,45.529858746303724,42.02021212996567,41.61150744690187,44.96631996441833,42.45099104464508,44.57403566695046,43.08476451770074,45.05385215042624,43.699326811137674,38.41233769707491,40.20431158906286,40.50774888829506,37.60769578005384,34.98437112523798,39.113186853929136,37.245249470410926,32.09761350671323,33.07600017551553,36.36358704518881,33.64783608173642,29.901104944852282,26.639630953061026,26.917707097315148,23.783463403649108,28.156762025834905,25.151529755526592,27.325469986297836,27.04914135648959,23.391008188757006,22.205261951532314,21.332317986873413,21.129119413974603,25.383195951934066,25.162996654226117,28.236629284766327,26.666605197313388,29.730226748858392,32.31875912182822,34.32620290151231,35.302819338640184,30.023513118563105,31.26696200298034,34.20482507964659,30.582700368003906,27.848202987521383,31.835346362935393,34.695851665548496,34.805771530544,37.66277232593071,40.20587418439194],[24.1836255608786,21.97600244750855,21.097300716055983,16.338368777034052,18.256419287282114,21.342731042825715,22.065311801683638,26.736329822346605,26.279009791499064,25.924748893049856,29.074253787548827,32.50015152571741,30.153618984562122,27.890611806591227,33.030068632282905,34.14717324038578,30.772898241671847,34.24415696408889,34.1807901607565,36.787345796581754,38.73507378323822,41.5148917893505,41.45019646746482,39.22138447042016,37.40743833311756,34.18934368982648,33.09410833071002,30.840118454680542,33.64709092470967,34.92753171040911,38.87361061788632,39.11172439255865,43.134612629964,45.797668595370226,42.85594296712467,39.88036145583848,39.353579289679416,37.571672366953464,35.921040463769096,40.47221695545415,36.439493570722384,38.395203724341606,42.6175216704509,41.340078701845954,41.71479250942824,39.672970893677466,43.681209471752055,44.12012997945223,39.74659987641592,43.22828760768008,46.808360109811375,46.867921282549936,50.039816213850365,45.54281049721151,50.12893404114421,52.36772722334671,48.6280361150104,48.88227587817609,53.49238409203683,52.7716112198984,49.1618012653398,50.88733234901625,49.7315660816068,50.21423166896727,47.293638485247016,44.55482587337831,41.59680328599024,39.975494421029225,36.79928055251642,36.19661234347249,34.567906190291374,36.894737973089946,39.53953461365779,41.740817139196146,42.22468689963327,48.41162558020256,46.52295406193856,50.18002757637508,48.553477464179196,48.558397343364724,47.03981917495373,45.38343874581592,44.31414506476252,43.19598132460121,39.53228814890666,39.95764869958005,41.61263373253772,43.92674763869503,43.124934434314035,47.59124677612941,45.20793079432065,48.34056242871539,45.60685092873494,44.42089081395725,39.87362375683284,40.87843572642898,36.64105529134686,39.52347488379048,37.43825159173217,39.911279170955815,39.82756717142438,39.02607451715745,39.250636466780655,37.283867048649284,38.305540255452385,34.02418623797772,36.31440088776576,33.74873889395672,30.34293073861242,32.05561142070945,27.9046756562638,27.008109150359793,25.115999981416948,23.52042298051289,24.792703622290922,22.699298720608397,26.014041874754984,24.511559944370674,29.285277292312063,29.823087771409785,26.71164592226514,25.075174455466012,20.6672323171096,20.042970983367148,19.94287586687773,19.65835714838751,21.54221742411992,23.33027039914458,25.62995184404227,30.050712821173047,26.919997900597647,31.47451182430535,31.288608881781663,34.06175991863243,28.651437907996904,25.89250625966983,22.046903173691906,20.446942239271102,18.623808220025467,22.737033203785494,21.980693344010284,26.54272611619618,27.909760303931993,26.486894607236273,30.12263321080332,30.71977249715337,27.696372465775454,28.912914406347905,29.204980280661857,28.30393568812254,30.370980466853243,31.7449110423637,36.22414663634487,37.19916112041123,37.61743196436454,37.33099718355478,34.46637822726518,34.37896972743561,34.05436006670912,32.46560743197188,29.921369427627386,32.73139247328833,28.74586494669388,33.48785810002875,31.695609557853786,27.528559259161735,29.462106753771724,29.23638866252004,26.522047883400965,23.811059448611307,25.567053498755357,25.44053868424317,30.209075880415266,33.067234946149185,35.342349875763944,37.558777475753004,36.9952987613699,42.09375670344798,40.08360490269371,40.77079339131095,37.97781220098915,34.77859934072032,37.070485275488295,38.05736210832981,35.157391963943546,38.090697023929934,37.29812136854143,40.57332563821173,37.01488295623378,38.16524182993177,37.439624023597204,35.611501444397206,34.55340825023679,32.455687966955516,32.57815165234397,31.912809461177282,27.491086058334176,29.68144760350719,27.55225455055273,28.56553581404915,31.5693305941226,32.59144247250413,28.752932081195205,27.930283198828814,32.16254415457979,30.340103960691245,25.171882545338484,29.413776228937557,33.9443215504233,29.075697348958425,28.527112561241374,32.478373015465465,32.19736777417326,28.103096079703587,30.657967415979027,28.259912069565953,34.030928193044566,29.197847123517413,30.761242390789157,34.976937643494004,37.91634961301402,41.680100483698205,42.38103570387217,43.89546233089528,41.960660531037604,44.293258276777415,42.16733054802375,44.480980458044755,42.77588803860516,37.12739570018842,39.321216217316945,40.64508000789189,36.383915115901495,34.44227035656277,36.40479126523068,34.99767690116581,31.13315809444222,30.183579855648805,29.716068893958173,33.66594117545066,36.86167856661232,37.9954058925505,40.756037746290325,44.45627001871877,42.156954863983934,37.80724301083578,40.932998474087185,42.461939367015376,37.62844190457741,36.81586607174437,40.460478634275084,39.528050128813646,35.97148693316496,39.96334958197684,41.69446880259981,38.189724985688116,37.94088278542226,41.35400134362289,38.89632628947993,40.982094710574906,39.40171304978132,41.54918649833463,40.312568052447475,34.896342765686406,36.756750347782415,37.31571417490638,34.402661238290044,31.696770063110534,36.13772159482168,34.487355765249426,29.141837672877724,30.178366085190547,33.847829676147555,31.279209325956415,27.38816549980622,23.833097413562903,24.78805587679896,21.47711863605195,25.69504149938258,22.258133121943445,24.014954742429186,23.431582998729162,20.06505026458337,18.816910643153108,18.297836421510116,17.754250420311884,21.926125112623406,21.28683953755086,24.43569929056354,22.682440246137453,25.692746968471425,28.206375497971482,30.26232026327221,31.204180369440884,25.919043844377807,27.30472049417426,30.24147738047571,26.560173600024214,23.95795631072237,28.09819197157666,30.94504234306196,30.946737023329817,33.78034546420232,36.34129722688261],[25.173836272975805,22.833901580557804,21.74073398700951,17.99601175525034,19.19374140317432,23.41388519646021,24.30894680452369,28.94342162558964,29.254671826542907,29.05175404135956,32.46701326231915,35.61039464056097,32.97769103721312,31.286645220506692,36.367414138779786,37.095582975905394,33.5747390345136,37.06309931814811,36.91557987535137,39.062435746046475,41.006796089317646,43.35130715658158,43.39419068453413,40.95354312879681,39.03884715636413,36.24112953772049,34.90938351476102,32.99051138096651,35.99193269524416,37.26671475393713,41.8370139644744,41.65002219929292,45.88355513220966,48.48386711950914,45.22996357541109,42.21962134556998,41.315068704088944,39.30416760811905,37.28156621939881,41.21909537251589,37.326767717715285,39.919514893070975,43.91182135740518,42.21734511671382,42.41222821191946,39.959824918428694,43.82444904531701,44.566374425410096,39.99145711432508,42.89129853349907,46.726945139140064,46.83641099385027,50.27287878171345,46.089005895114575,50.768894952665214,53.0665434657739,49.54511543255357,50.115913365642236,54.68524008546235,53.86673836069282,50.65916086985821,52.81049786770697,51.94301799047128,52.46718688451395,49.25946544799863,46.619043544599926,44.18561405142275,42.742454363491916,39.926426645873434,39.604535100320774,38.13223526553334,40.70716250620083,43.12683520703137,45.021630432256984,45.327148603042374,51.38970472941146,49.0511763577543,52.72257295369957,50.735589042034654,50.35835064496039,48.602064936979716,46.493737151275205,45.35875148379797,43.72195964710578,40.20865658394036,41.16322817286231,43.15552785771043,45.66963861370819,45.267209189362795,49.996561668424164,47.96399701455652,51.395613973970974,48.79941997927371,47.594170837790564,43.087693425151755,44.412424479984594,40.208028572563755,42.57466022963267,40.32714013695611,42.54949619418811,42.13660179498663,40.77902238224366,40.85146317477249,38.357149149242936,38.64193510509759,34.34408602712288,36.0744846818977,33.046385792523104,29.823440454085265,32.17097374415201,28.41125926355718,27.85739722586757,26.791981839165743,25.1613426764958,27.235347372544375,25.039590344643685,28.477887783997918,26.80424594259353,31.93440567294696,32.722783840267866,29.901781922561263,28.316077737212005,23.732864653732268,22.881142537417396,22.601003179514258,21.169992811299586,22.549791049421614,23.841854986004677,25.495926050753134,29.701939266885965,25.75726462276918,30.02973938895689,29.812149649667763,33.19805870756675,27.75965055834518,25.71282925668025,21.094523596509195,20.542395360872096,19.466862436152734,23.625914852399358,23.116387854865973,27.481679120282056,29.406742584336776,27.904174050278648,31.367153322638387,32.437447218814334,29.415670200017974,30.76875614191916,30.743614732249615,30.30496285756712,31.969531385628095,33.975852979928895,38.08996734636311,39.56443750180444,40.23764384052017,39.58742569617997,36.77000435807292,36.09579275751605,35.958150260643016,33.56250448296635,30.78397159457929,34.003696620022914,29.594886103019196,34.18542051520244,31.654075027331956,27.189819879830228,28.439427059317616,27.724313620030344,24.700735803818226,22.68382497977571,24.56148156299798,25.2550639824265,30.144683959895083,33.30078290020889,35.98524382684625,38.32153038772676,38.388263680614635,43.13773391562315,40.825447110170465,41.17792992750559,37.98720757945924,34.81205656753488,36.388603862143405,37.02105181370118,34.36095348251456,37.68769969604397,37.45474736940818,40.156125171104954,36.57274554564631,37.20239336971862,35.97801755060613,34.441300338358324,32.81230867310624,30.633108663590733,30.503630200892005,29.417958612593672,25.195799169774066,27.460747513309975,25.393860115979695,27.207024360764372,29.758705160446052,31.472997135651383,27.94133815081451,26.41611075365495,30.724252588703227,29.657730426803127,24.176416576421914,28.06585797267739,33.08417484387291,28.828009813221236,27.89150412834543,31.774978821105005,32.21689813390463,28.161501246137384,30.151892983563467,27.347919804593907,32.86714475083736,27.1063021786191,28.84680700861155,33.08615127270511,35.46896282249204,39.23886871852452,39.5981312145021,41.37070447453037,39.39660796473584,41.750977874059394,39.93164652035081,41.794562283487835,39.834503224874474,34.51876867910252,36.69441567833263,37.43221214191092,33.15683196972048,31.513111596540092,33.28610113636298,31.32692434791056,27.651652803627744,27.130001326502498,27.126741932468622,31.6133981830204,34.6367781720067,36.08035424616368,39.17708334028128,43.02842461188266,41.14672403565991,36.57976410718618,39.71239913166259,41.73709853657237,37.108814808084325,35.97076599848431,39.907376818883705,39.374321030037756,35.64009707732501,39.21899848353582,41.34938253709939,38.24153666413285,37.38740921331415,40.49917494274079,37.711729307561995,39.54148414079765,37.93667715387284,39.58685973880958,38.385922970299454,33.225760749316656,34.635116532879046,34.83981621411687,32.113201866003614,29.28012238714789,33.13897227510486,31.41962501841431,26.341935537544323,27.009613695228815,30.242741599355814,27.73588035755829,24.006345507146992,21.04240158074593,21.319223675350184,18.651167623457663,23.261342126696743,20.710614731710557,22.60434397767183,23.119194438543218,19.644812741462914,17.767404290219854,16.248294205195716,15.848777300681585,19.911274531088257,20.39093368017575,23.21977183314235,22.392821764843465,25.588969169063745,28.639799484134734,30.669806484733034,32.38425715413235,27.126683001304364,28.362382080410548,31.81171316394429,28.53836729468856,25.728185968168773,29.9152294060229,33.200506488904736,33.262701618024536,36.126807893967076,38.60125138170682],[29.476735861966485,27.15921579907862,25.979204350462673,21.962586106178208,22.888373003541613,26.959638486693418,27.410200625457232,32.0492995716013,32.02023142412009,31.26146221621955,34.53427482820889,37.96677866793108,34.94997742389799,32.91595440123892,37.883350112238475,38.68335439043439,34.83169237214803,37.89727461337173,37.10320025401835,39.42748421166716,40.91507334794473,43.202646660531705,42.851973193414665,40.141134956646845,38.65570000230153,36.03415342191487,35.17382698590398,33.653555558375686,37.00913103113295,38.765927589441404,43.07059683471725,43.39916313369794,47.61697627292343,49.87485309244656,46.628266757215485,43.32108410199182,42.825373455608386,40.23389475391357,38.08054664386339,41.915722026836654,37.59978149227853,40.11209279345617,44.0340600495561,42.27323970333853,42.048274092644746,39.54232939674777,43.30779132781872,44.42966422511751,40.11452879588162,42.85136622603242,46.87267111199051,47.27256153104628,50.70518960063752,46.6807277157165,51.48098766744808,53.40919523132935,49.73529730480011,50.604490743825814,55.08429927838166,53.88076869117744,50.69635386764116,52.95749312982593,52.30040212359193,52.36549111284259,49.14791065625953,46.84503641835251,44.18773390418069,43.15535922247637,40.08209580707666,40.16186869135414,38.40557821109984,40.773422055281124,43.47896656516054,45.086978089977364,45.86492880226412,51.827853507170076,49.56833014794618,53.48140555690842,51.54354339091568,51.06146902182924,49.69527676639949,47.51444447304342,46.8751758873539,45.080348214808026,41.367771826215694,42.46262488761269,44.055207027935964,46.97818006142404,46.13035211172531,51.117577420528406,48.908038503402594,52.21076898445266,49.831611620556345,48.95021040083215,44.56828556712226,45.91388495756093,41.81196403274374,44.507344995612755,42.55644832301253,45.22164018874799,44.446287270972206,43.534613547617155,43.163622406307894,41.07513946581788,41.15159512549208,37.133738649956996,39.064667003377,36.006277369791924,33.0883785605478,35.39103788647134,31.75280236390855,30.653667259608962,29.561589767497612,27.39892248401304,29.01372969091223,26.362668362259583,29.34944213446289,27.04916959734898,31.857581874305733,33.26782519701424,30.4182586205823,29.322062705396476,24.635791823631337,24.43169073921612,24.837333004485775,23.51488961722778,25.79326810181734,26.731062613182267,28.5112988114454,32.39580133501256,28.53043358424483,32.78897175343438,32.03583505779872,35.529575371194746,29.84652887117145,27.832726888187832,23.39759189529743,22.276886558565305,20.72100589109623,24.733072509341035,23.16761704899265,27.14800249803198,29.497577771665938,28.52011675790124,32.044297848299465,33.55172169736881,30.722597298447887,32.5951910783787,33.01971910933759,32.88261782796297,34.98096768851808,37.01435822939213,41.32316211644181,42.903853413333216,43.22220900999633,42.4636174954441,39.383961955306745,38.89392832197126,38.2823086430371,36.08960008274143,32.79353982064053,35.54080366618434,30.75069769157242,35.28020902036595,32.65906458616794,27.73688352654809,29.36115911972445,28.126652812149057,25.588388215682865,23.599670022987457,25.938692598210228,26.614233866184637,31.655388016262698,34.94896832736874,37.71699764388832,40.38713434868508,40.32913888913855,45.16239004383031,42.508313319518784,43.08050677671675,39.55216605676967,36.97412116852585,38.29600033368063,38.64283889187887,35.823127915106845,38.6658989830992,38.18864850998733,40.608601720228215,36.521645980334526,37.53886209331085,36.33886405984773,35.252735740366255,33.907720587779075,32.12335407951523,32.30325711586515,31.49942753747765,27.537073114097403,30.252181816504333,28.66294721141673,30.62687714113146,33.39586301936603,35.229986869101616,31.727226414109285,30.3835481561524,34.76708965267504,33.80117469452167,28.43971267336832,32.34924125663661,37.37916135636718,33.202645718703074,32.33646034133947,36.22403774731135,36.64377154630148,32.612887352303865,34.620270110066556,31.810305744879976,37.29314593036916,31.371325490859817,33.14149147052557,37.37446862941143,39.55311778215197,43.31839013602462,43.50316690423988,45.29747547357738,43.20599045492156,45.42558473563602,43.55196776074173,45.16288899510799,43.29575977805496,38.09168119815461,39.99551914297222,40.50501465855333,36.3947528817158,34.70092541062486,36.065324924883754,34.09409856690244,30.73663386818411,29.853174847132877,30.495072098345368,34.733761126008446,37.82749261505804,39.63693106924225,42.64027424991884,46.67118998577468,44.684581988837785,40.179722081385925,43.588812623612306,45.583230748589614,40.94024796969959,40.00849505652205,44.036467545610584,43.52489128084351,39.87559552930232,43.49475422107471,45.66512152881171,42.589630993465875,41.79019190853182,44.88211903771934,42.05386879040971,43.76313729830617,42.02444727796386,43.570690678321505,42.54050639900584,37.41959195322356,38.57424849818199,38.80220981937927,36.20932125111038,33.19849964449041,36.811683350942914,35.22278637694604,30.28405197291364,30.587503175866814,33.642582215363824,31.309676241519618,27.717982130786723,25.094961090661037,25.01709080699023,22.684711405792893,27.39726419079097,25.105743765331873,27.016456775216707,27.560153359000367,24.111519973826976,22.21739671171084,20.5902981072098,20.066238903510765,23.94394449657781,24.322071057803875,26.79980024194288,25.834115201345927,29.59149577686333,32.50213601263681,34.73549634837607,36.22924686977489,30.970365812950504,32.5060406225088,35.79517112322239,32.18829772870232,29.696818958876783,33.96358839396583,37.04336439754076,36.96397774924457,39.74683362045302,42.26679212496516],[28.27749144623447,25.71154011429911,23.92902198255487,19.624744560054346,19.84449582819106,23.71344986642495,23.61582985239233,28.19209527933985,28.01878749883025,26.886308503423738,30.137502396343965,33.6342851165922,30.37026166228846,28.32764441698273,33.22240727506726,33.9705163159561,30.042039554231884,33.064201302749645,32.308456944147224,34.634261452301054,36.20232973582344,38.576043984609015,38.318660662566145,35.74492463319702,34.125325525057185,31.367043370828373,30.45441357033574,28.84664778180303,32.19349575934097,34.01563944258865,38.27736894495416,38.69858061524114,42.912016384576056,45.087151408258975,41.85157150921852,38.512174960716486,38.112922331116465,35.503521281891366,33.43774739536413,37.48955020138582,33.151719333878624,35.48108784410299,39.48849145764552,37.8847964454637,37.83709373803321,35.52965691303256,39.416516377098105,40.27713228131559,35.98787718110083,39.08202064133713,42.93008622731604,43.25404076601751,46.56069205864582,42.361834375262895,47.122695440476065,49.070972158642384,45.324157615485426,46.04071704197098,50.557277927838975,49.45069984919076,46.126668740353196,48.26857973696631,47.530392052416595,47.67538087893019,44.500341434118916,42.10890652251685,39.436013410420465,38.33659162497769,35.31834302811652,35.40098728705028,33.710009312528534,36.19460754842907,38.77531242663226,40.36274374042453,41.05499977246173,47.017477962971874,44.75007503636688,48.65187794365641,46.745242824100366,46.331159431776214,45.01796572136493,42.96337568695727,42.38511009543967,40.764111671841114,36.97025670691707,37.89198188372322,39.37260041245637,42.27539020372435,41.33372505834302,46.30589736921431,44.07516426878027,47.388816914321815,45.037466980797085,44.19751464284573,39.85549651342831,41.285225875145905,37.235614426209395,39.91199127661411,38.077587905642396,40.96800894702498,39.95768077457686,39.32585928824032,38.748300123302265,36.97704394904633,37.202713473145664,33.33293826520516,35.630161785977975,32.81044706228215,29.997284297042672,31.955738633989657,28.291431642930185,26.699412649161093,25.443872215607787,22.9983172115108,24.363089435178072,21.60028207213391,24.5200548878994,22.246583646317728,27.105470182861378,28.442148511433373,25.628401757863383,24.563957108319794,19.854394644057912,19.759667775846683,20.449840529094267,19.218775837960038,22.181818918920722,22.962417270674944,25.068619672546234,28.86388492026121,25.530195049638017,29.98266283378013,29.037372486592567,32.144389907979054,26.398626845971254,23.985585026081036,20.05956160771861,18.185655278516833,16.228577431863698,20.220542875170185,18.601185379371287,22.76205415909629,24.856863129190913,23.84220977403332,27.424120347312257,28.828378715651738,26.020306558297474,27.986192283764947,28.62579602849533,28.59510392319651,31.00662222440934,33.05079099836177,37.493405639371886,39.26067053737532,39.237998511704625,38.33192874094107,35.083680845667104,34.73401258313015,33.841315365410225,31.89943407615935,28.473203070895796,30.98032163027878,26.269171249505213,30.860604771432754,28.569031481816406,23.800903958743827,25.850838922346064,25.022393133461435,22.682124906215073,20.137714861663007,22.422404948061402,22.6010452347538,27.61237062395484,30.78827998012307,33.40259544250283,36.112984557506245,35.83023294317084,40.781592566218386,38.14902969080789,38.90260337396553,35.49055832050494,33.03395419709475,34.68017819743073,35.20499525460553,32.20319173806665,34.7879617252808,34.016172121258414,36.78050974644322,32.784565496122795,34.06703372788992,33.22331969436862,31.867418905203966,30.950834483810933,29.249946983835464,29.691899266812957,29.341322302505382,25.262017385964853,28.107217773263084,26.76786713898757,28.19484919136046,31.539771387978924,32.96100962355244,29.296838297526424,28.690741453714004,33.14648470637281,31.820438651444842,26.922971608591,31.178822941100275,35.85447854144196,31.604852121797713,31.259210652327717,35.24162943303923,35.225450226259426,31.566324322757893,34.08140430110632,31.37828722243133,36.98735767758288,31.6447097317988,32.85651155306058,37.118926278253404,39.47294425924965,43.47246722806123,43.57471436869071,44.846077221224995,42.506615391920974,44.47164883186419,42.138563304605256,44.00145490978866,42.58426616046013,37.03207146288377,38.66618455670712,39.72753999285552,35.781437892471914,33.6082001806861,34.910637742737144,33.71225507850993,30.30154729844821,28.552363728961897,29.135094426511934,32.64641690696872,35.96432072614717,37.80814156133799,40.431502100156074,44.52358255877741,42.116378840193775,37.824124241675136,41.55259340438597,43.163360152818186,38.38350357725143,37.93855719905298,41.94248267180981,41.27118195739175,37.89088081660664,41.84230068337861,43.887376025867034,40.773261383917266,40.44132141405869,43.677888400345594,40.98430536149746,42.568465692353925,40.53375937899641,42.409348185652675,41.747765780335534,36.366443439576436,37.48526949668776,38.27303229410144,35.73164245240419,32.403820662585275,36.49138129662035,35.41384328889826,30.156586883753953,30.29036176361618,33.99457179326807,32.04210716740085,28.242973773470247,25.26850770117254,26.16515727522886,23.653927575752114,28.179424242983412,25.239926209226986,26.458433069477604,26.353890331921452,23.454689428558908,21.515297576631536,20.476831040205134,19.2144762379926,22.79687758239458,22.160472175523346,24.41650580781062,22.808209697127374,27.116368282953093,29.630548147791927,32.17670316825475,33.205125917167344,27.99682820247711,30.134057555345116,33.10434884610785,28.993844049686313,27.194612647678735,31.71481982082505,34.40313308091859,33.96674143226938,36.56610133410935,39.14988961764586],[24.982425711297775,22.170241975158433,19.904103316699366,16.68798598720571,16.04160072105286,20.974578197127368,21.23031128092705,25.699008372331825,26.528530237078986,26.005396126024095,29.608004877618008,32.52915190950455,29.362818590532683,28.246537052125092,33.128864420514745,33.419778765131106,29.754577129007597,33.21716363142778,33.15204220348493,34.81681147767718,36.905161543795415,38.939137171399906,39.25894510112199,36.88226722474887,34.665304839001664,32.10127078464831,30.421466013697973,28.66175141072669,31.720985211628477,32.9925427907789,38.06418671926837,37.559891398341584,41.95342571716021,44.40001617394991,40.89716391920883,37.86984367148523,36.70658248487889,34.551663076638185,32.340745893285266,35.96674835061261,32.28314374861257,35.20816656041039,39.06158820088452,37.217972236294756,37.538841501730815,35.00575802656752,38.865880032780495,39.482161090968454,34.76421408044569,37.592832996286624,41.38042565527396,41.403711693217694,44.8926351796451,40.770423918355675,45.443232593263765,47.847060189496204,44.46778220807599,45.08749469921465,49.648048899077175,48.91485497996598,45.90962488117202,48.261424162165724,47.531723140461004,48.24545003823036,44.86443915569365,42.18193044423791,40.26271439295906,38.854388455349856,36.51031143731137,36.387858339560324,35.2029656193407,38.13578813194555,40.125892963378384,41.735878618276075,41.706972406769765,47.611913413254946,44.86912485959487,48.484764919493756,46.22118258326593,45.60007074480721,43.66890302733385,41.33458562106708,40.17833482800089,38.32059905636149,34.87904323915994,36.070078764654305,38.25786144797135,40.864446627839364,40.75525562839319,45.64099424512384,43.930927466665544,47.63398600728126,45.19591930777999,44.00608440262593,39.61038999099787,41.322423079116824,37.2400297347148,39.07036395195514,36.82416400866953,39.09336747574781,38.07560253582359,36.576007863543815,36.24415638872274,33.68654037259272,33.50136382236439,29.391959297458875,31.117727406563375,28.00121950868967,25.109447074934742,27.55042377506761,24.13063544722399,23.20884791144434,22.715045595397406,20.739288026830536,23.28264218112754,20.98837794204506,24.468208932685837,22.87345188656984,28.309057874517222,29.086897580891055,26.646163949945993,25.08409306908483,20.47894408503887,19.42185048036413,19.212963027389616,16.814645085406006,18.563571469913132,19.14388084475166,20.63065361740278,24.507313708311358,20.550272020764453,24.851639223603055,24.333021721983357,27.74076773267325,22.202143503099528,20.286550115512156,15.614113614243156,15.16878546366338,14.496626322670279,18.587636680545035,18.586324802124327,22.916455519563804,24.884866200238275,23.174647770741558,26.45717864780832,27.739034785740902,24.76038401592726,26.258762830788964,26.167804378131844,26.286168471670166,27.97547563394058,30.57591669636512,34.52402312460119,36.718881552940715,37.1412635254128,35.955834784712835,32.97112082315407,31.94171123335598,31.620123556390496,28.811182513847946,25.695766277865015,29.01500768014828,24.424576184923804,28.905700711509315,26.15180098637242,21.75259171112319,22.819906128856307,22.28425172835231,19.17265427159354,17.087950830098308,18.9003468562257,19.720943108803603,24.617598810690268,27.85931533871704,30.696145202975853,33.156713723555306,33.515175058772954,38.07420017026546,35.548404541579686,35.81722520925833,32.45685169115729,29.427723018957195,30.800651115003895,31.370517768081804,28.702969012593105,32.08806379025099,32.01779297826119,34.66069085548801,31.280486476850434,31.71183369970705,30.508422102719457,28.827770851739793,27.227752670613963,25.055347361658804,25.044803487690185,24.218232286549128,19.99058996997996,22.540915068057593,20.95253056277171,22.70014918745534,25.74508956402444,27.47464889792231,23.99141148917095,23.002254340134833,27.485571709659425,26.576248522211447,21.621775388656747,25.70594511866364,30.563273839869463,26.811636477440484,26.38654859301981,30.31102266947363,30.709386662081442,27.344925341803027,29.619323308604656,26.670435469168247,32.06339222770623,26.487105807878784,27.420942713609808,31.66602770826885,33.7557152251604,37.87358969051095,37.753852696543625,38.91620316233069,36.50537630014279,38.45195677759382,36.196340292596346,38.00665770993308,36.52966937524856,31.00245673341822,32.70125209854603,33.73732931652202,29.74146433346362,27.60842921699046,29.064521501063012,27.821475091866823,24.29988652275258,22.739415672487024,23.14479150143432,26.96524758211498,30.17931118466755,31.99535741858237,34.812279966650564,38.909410644418685,36.77076444623559,32.32864400562814,35.977808911009305,37.87011573931155,33.228727579710856,32.557297990645694,36.72681418576453,36.32145637992115,32.861919910042275,36.56640847279466,38.865594441559544,36.081096051605456,35.415614592641525,38.4563195469703,35.59082857589505,36.95703942957221,34.85243728922729,36.541744001462504,35.98917264391136,30.69072277845455,31.574378936653506,32.35488855148533,29.933980631472306,26.45618979776447,30.47400822535781,29.57624091159881,24.31863790356754,24.268318748330927,28.10556658208075,26.373232624138545,22.555195807293998,19.709406783928195,20.97156448125458,18.82069237419373,23.282540795451855,20.594611566509624,21.348455474189702,21.790816947950535,19.263341484387077,16.77845884801454,15.40886841918785,13.762141108184212,17.01859602096576,16.849686187563456,18.941892321297605,18.01097257859779,22.279502936915595,25.19747709421478,27.692134728941678,29.395223624021966,24.268535773722206,26.30510875198778,29.69845933781566,26.047353286962643,24.13305379089083,28.71947554101524,31.76834681982691,31.347505481131677,33.95347856777184,36.43516172872484],[29.27152587264237,26.599701947907267,24.607577670078065,21.398573688864683,20.93414527237172,25.84953034127266,26.00384164768082,30.468279565181305,31.138360208648354,30.298282932265224,33.80887199856466,36.92127326802626,33.475599413640694,32.12882334379545,36.92744811708453,37.239901299899124,33.278884281494285,36.35934859482342,35.65664031893142,37.386886230567,39.01505030714259,40.8576782076088,40.804501304375805,38.07052136763247,36.27554599967309,34.031230717727844,32.76857105233876,31.50489556676225,34.938736983351546,36.63598350104954,41.58446893744103,41.43873717563965,45.84874130732197,47.9965520976417,44.43837568668796,41.14742989285358,40.25480595635546,37.51449927705406,35.06700330322654,38.34607968579366,34.30653245504636,37.376572634426125,41.067943593834976,38.9957061564382,38.80022468829061,36.02764828755127,39.707525663780714,40.86745021905891,36.341082601382695,38.70680539652142,42.80661160052767,43.152397050298156,46.75122812857665,42.940554081606244,47.75546839225691,49.81368575501808,46.380577670163866,47.42056118246031,51.86639149716633,50.71403157232182,47.89046990240896,50.49464882825552,50.0601465019411,50.33391985944682,46.8564438667705,44.54489680528828,42.54952710158865,41.585542061849864,39.06057677447803,39.362418631391854,37.922846932051215,40.6843611906497,42.93452560877237,44.23012046237466,44.62287993938431,50.41011342917322,47.63973737615144,51.48136987239755,49.17033679318228,48.33625685925963,46.696953171834586,44.14445754880326,43.42446504513186,41.23065187516572,37.6833988331142,39.198590449243255,41.1176598244804,44.1556314671412,43.75551008543792,48.93595833358795,47.15100744092694,50.795018224874376,48.57357418051158,47.65781285390171,43.37128934128001,45.12730226467165,41.12214579336348,43.165792958337995,41.118018256603534,43.64299988649566,42.33967940830632,41.03760145510164,40.3546635367018,37.95915111779656,37.36078206349719,33.49893291272969,35.112487467912274,31.800154622101108,29.24174306424409,31.88662323504468,28.717295783848243,27.581831196331404,27.264543306888463,24.928383066971655,27.21624728560335,24.521552023194246,27.591221676725247,25.33788202502692,30.523851293193143,31.969926274798542,29.536136779597847,28.42920797727001,23.69876700225622,23.204020961900557,23.515692323665665,21.112408397105607,23.306900230613923,23.550743526736078,24.858980608837918,28.334579886891074,24.110461452898626,28.14857257839842,27.17369112052882,30.96942508512199,25.292060502540537,23.797296911657707,19.040760592714417,18.567671461140915,17.692279752691277,21.572812288638428,20.520585064061574,24.33606696848332,26.965754437601174,25.78665227272968,29.054794154537603,30.905254950006587,28.1273384289052,30.109491432052923,30.308519712955466,30.7366279548888,32.61283913722905,35.303931443826485,39.28754528272847,41.5619531688817,41.85863342178521,40.58593973381678,37.45909741303356,36.448267781591476,35.840861150423905,32.99645148329735,29.426235073259754,32.42966607121865,27.37558890101959,31.698487740046545,28.5599044685682,23.57677794572624,24.663941342781488,23.259380961241742,20.51433263532877,18.94478570265565,21.296474328668364,22.511070748987546,27.536158831133374,30.999547969806763,34.049372402141294,36.82295631600277,37.28604898652717,41.76986193270854,38.85700202986144,39.1837969203017,35.37555288175509,32.92121005303727,33.714648649258905,33.82595322221095,31.161619289233876,34.24560165834334,34.19929428321081,36.26203584280186,32.3480544447871,32.9102196278685,31.442545385550257,30.421466822977496,28.777188121630882,26.973020979259957,27.095849705415862,26.246979528938066,22.470798767510477,25.398830542294885,24.21656007194211,26.53107595239556,29.34211059550415,31.512574639112557,28.254407262870927,26.933152753334657,31.399800360887507,30.91871155898469,25.83509494368935,29.641204353560813,34.73661195455129,31.223529891431234,30.524972048767903,34.373915409715025,35.09194698174386,31.570162835841113,33.50588952643027,30.433948482920954,35.6806587338831,29.505643410546558,30.783809268185582,34.996518816812994,36.69138014902761,40.68890857473207,40.36444529864608,41.838844999046536,39.43436442021854,41.363982649879226,39.354746636217506,40.68922412509235,39.04386797090412,33.9026016007548,35.4472996874797,35.853798942874946,31.963540235840448,30.102104214760775,31.12072844250746,29.366599401261414,26.25911055549989,24.888771760979278,26.0888567590889,30.097390299369543,33.19171314977149,35.39944317041795,38.35464293822094,42.59377138261827,40.660396374832814,36.174399794070005,39.898302309388505,42.031254555502954,37.52523048332899,36.75210629763255,41.038457611903745,40.80816402340788,37.288175818266424,40.764492818982596,43.22279902898592,40.572897906731185,39.62370253938151,42.505909964025136,39.48790632690042,40.74554320147946,38.6679629545558,39.98516524814201,39.428457461512615,34.379654282245774,34.94266110461452,35.39074439341115,33.12410664270402,29.639990178037074,33.02839386759198,31.997854953539406,27.116512233219794,26.72349170167173,29.946206434911637,28.21961709769915,24.679782219352454,22.476391568475357,22.746636828757286,21.11446923042677,25.857670110862546,23.888733952181994,25.0800379007935,26.063241310692238,23.219003859908057,20.696311916764387,18.742100099351735,17.525753561997742,20.72721719047159,21.245822294165393,23.022450081436496,22.48606242954783,26.910926954505072,29.94169884591617,32.42540606848786,34.2607535783386,29.15707741677379,31.10598637334431,34.569480306747344,30.94779449341496,28.935811542141792,33.453053470005656,36.5726127930958,36.21168752271777,38.83171156503403,41.30401458960212],[33.186466599492675,30.53479297970065,28.483815178484125,24.562726355300736,24.07113427099253,28.340376090380726,27.881649636777606,32.31388034310217,32.30406289448118,30.720264167878753,33.934693784369415,37.457196354562036,33.64112482729466,31.71688269752082,36.329181853997035,36.84080158968573,32.549283147821555,35.065726810457974,33.597095425992855,35.69801166050404,36.76272760333898,38.707281854031045,38.1376090428907,35.17253401148058,33.937615022236606,31.74003490260695,31.163956701895252,30.27511979754399,34.05092475924817,36.34135418378498,40.70214695881189,41.3481466774131,45.6365016683689,47.36708805853785,43.952408621527404,40.324186939159105,40.0984163855799,36.7480803659861,34.320439892775035,37.75898238523625,33.137145817119055,35.78930500429902,39.490715082075745,37.54761284397132,36.93413068149949,34.32232088632398,37.960836456586854,39.409951709117955,35.32327263873378,37.8237284360293,41.98956501397264,42.6557655766766,46.09160557580162,42.3141678316685,47.212468995045775,48.78628914098133,45.0626481916782,46.3036166080075,50.65255640302582,49.08762110534507,46.10351410689274,48.643591338966935,48.34171401621366,48.050950525736454,44.68614233840436,42.742884316980856,40.28268150086097,39.75732066500037,36.82196573080412,37.533744499389485,35.72516411834087,38.17108132081224,40.78969022984111,41.814777782352124,42.822975083660104,48.50621214841237,45.99822259110098,50.11453047737321,48.012638454954946,47.21554523275675,46.166322518605355,43.749431544032426,43.67864623458591,41.56518738203357,37.70987458509315,39.12558765955329,40.380362769589794,43.82041918754155,42.70222034360679,48.07394898294129,45.94881414029396,49.318958997370345,47.32973642961648,46.82493040288321,42.708401915462474,44.392364137254745,40.53957819081465,43.123237770835715,41.519166515925505,44.67822471092718,43.03651770484802,42.53062754877508,41.35802427846554,39.72836951694733,39.24522983387685,35.76567126887493,37.91747662555695,34.855793728666534,32.57156478657688,34.79699314710964,31.594975466148753,29.643767478829695,28.928163437989667,25.979643100843493,27.346119253046254,24.154903585644075,26.555754260700986,23.592906945093567,28.203619522908554,30.331858989796082,27.81275118860427,27.32404243830982,22.601351491417386,23.001688096987607,24.224838181895503,22.421173025085004,25.87852813726791,25.93948143887635,27.720448553528453,30.898098008140526,27.304509902927737,31.457588527480745,29.884599764483532,33.37521129506925,27.488454924117075,25.628282376800122,21.646525301076377,19.87056569920973,18.013646681438235,21.589696086341032,19.047231190959526,22.41539365944557,25.3155844800786,24.85729165081578,28.251201341304004,30.427420761463043,27.923748696893725,30.48290993713962,31.379325833382296,31.99008873019927,34.554209215124125,37.01206349158371,41.35618397718278,43.58184760633225,43.31967530077088,42.03776240376555,38.580094202234925,38.04153960991377,36.76388130227356,34.55457873161168,30.488685629218466,32.6716607527929,27.391480078842342,31.67415312480982,28.856226305805023,23.521804222960842,25.51499220531167,23.817962936421893,21.96626722742735,19.96663429558186,22.765348698015423,23.42036643623038,28.493441165847788,31.923945563112486,34.83248598279515,37.93947265072101,37.939066422533266,42.664112782237424,39.49386350507495,40.266791227533325,36.28484123896217,34.5759758162337,35.46638822359087,35.448209361982066,32.4606785827124,34.67604552606159,33.99839369477515,36.03931207626718,31.53384452835231,32.90900029149531,31.821273728309055,31.166119519853346,30.284129576797415,29.043396041917912,29.71361292123538,29.513573373384002,25.95937508251713,29.293506105502384,28.604312861527816,30.555454773938973,33.87863188361289,35.75431521424767,32.35728198731628,31.649760796634816,36.16344874129833,35.360576255118,30.56181252668728,34.62189500699276,39.47685926494825,35.720855944017075,35.31629696966438,39.24520478074155,39.56196841511048,36.05835232558961,38.34083854978101,35.428062144255755,40.834732488753254,34.959785020391934,36.148607273670144,40.382625572986484,42.20180866775085,46.2382277653311,45.90839247730498,47.20443313781858,44.66924300115276,46.41581657448583,44.12849449274887,45.47170663654306,44.12720457555816,38.88649047773827,40.12450805207701,40.69052266602473,37.01729423644173,34.891306283369964,35.58518175242448,34.25310699804035,31.362881167603042,29.307489100550125,30.85803163427304,34.204248567188266,37.475302042238944,39.893216085671874,42.51263601734442,46.86170794303388,44.551337505685396,40.28491082874606,44.33267327050807,46.1332544613238,41.499496227384604,41.16498467677772,45.40391374317804,44.98648755248081,41.668300472805846,45.432543621380766,47.73307923600909,44.92338357732252,44.36672647800918,47.4016610266243,44.50703080024249,45.75829200328766,43.515576926064035,45.02393192528586,44.665849056194375,39.47765677946391,40.02459473779773,40.745862628119305,38.50456230841484,34.88134142077389,38.408085303415774,37.5831391728416,32.6284193900012,32.11061456579727,35.47149766620844,33.8891862205533,30.3401017694235,28.02974519042141,28.428999170105584,26.623837834277587,31.345841659180497,29.048702538485056,30.191150301576453,30.632949664765622,27.834886116333855,25.550764823573193,23.98954274433327,22.600548367731037,25.775563084235785,25.552581786655086,27.153496125175298,25.940175481594117,30.874873436743574,33.47098470898827,36.21235105639672,37.419464368369106,32.31932117343276,34.71095752775652,37.76288862057337,33.56613673792628,32.06002900077018,36.681286460395356,39.36528542855563,38.77293291648962,41.25722598662274,43.81643784190852],[29.96575132875682,27.02838977677098,24.221722136197737,20.76463948592673,19.063329982970842,23.649961376900077,22.826478393828047,27.06525460843811,27.53918713769799,25.956581836766212,29.366404599047573,32.56820334137921,28.557560094317047,27.24795461496121,31.777206406534475,31.925734282135647,27.712669738562546,30.50504364180419,29.57206528576961,31.216885069374612,32.76912250509179,34.59034929695884,34.5533996127604,31.877506782790988,30.018717027852325,27.77414568166716,26.555496594364286,25.45130856451146,29.058193122123686,31.05694310069822,35.951104176040545,36.06151380954366,40.47799871358001,42.32399131337135,38.72861737836926,35.26646038107614,34.611415767400636,31.530631925875564,29.06559901813945,32.48148012478909,28.247742139244448,31.166904139969837,34.89743134093291,32.93999150595434,32.805853286509624,30.225673087482047,34.03490882195916,35.0062093701762,30.575680980953074,33.32841752660746,37.29493628322178,37.66135095813688,41.11921902783179,37.15989369383072,41.993633884117116,43.93579250887217,40.36413668918169,41.365331790415325,45.822951233794626,44.63572101081946,41.694579224327974,44.25615853597473,43.8533217588642,44.06886101234705,40.591514403215236,38.313390555446034,36.351805944653904,35.51111648760825,33.09619826867592,33.64634463836906,32.26131673524271,35.15011217476001,37.229980241659796,38.28075255791558,38.682908933170964,44.359950703659436,41.51165623580937,45.42668542387036,43.106625728201486,42.24444614221593,40.80540450464424,38.316198178560725,37.90402405190661,35.79921261046094,32.06100629474368,33.493650557152755,35.135777628364394,38.36761976478768,37.72539698034163,43.03949463374182,41.239700586754445,44.89989339669536,42.85770972198313,42.14197108197183,38.01457043132892,39.968424735923,36.13894358327773,38.141440439265565,36.37985480093279,39.35491937921948,37.474126098832755,36.688396148563555,35.45442214818711,33.64204123948593,33.02785171686755,29.560075004051214,31.732022969783834,28.732417416513787,26.55609605755715,28.7145735970593,25.6905581525343,23.596928209783698,23.23693024636361,20.22529906559363,22.106236175535614,19.05119774378738,21.773865750205704,19.271706559594218,24.443300150457592,26.096309366458026,23.869653918117113,23.066895338859684,18.365544751972,18.252349863640333,19.24666369091494,16.719292639790833,20.250724160330574,19.913745306797523,21.63111656309771,24.689328062906903,21.283473201353747,25.52650472874494,23.96042147883338,27.25436572113962,21.372693132504896,19.40230654747257,15.511330441192937,13.684451315872412,12.157902734482597,15.854108726381492,14.309978690786629,18.13853598306809,20.730027940588993,19.707102236567586,23.015065533796434,25.050908397925447,22.428951891807642,24.835024707044685,25.501258995510216,26.3675241241436,28.803495945123878,31.62555645758833,35.76967869054258,38.43483922932376,38.12230528162637,36.51996298050528,33.06463443763567,32.22879313283717,31.015615062267422,28.48923243097402,24.4200697215186,26.89354430241494,21.6738095757804,26.01466110476537,23.173325809578905,18.11537056121675,19.97452997644571,18.906989860218665,16.713007209207262,14.290998163024303,16.848695246825315,17.40073265006193,22.485535526356013,25.89583876892563,28.831844853597882,31.852468365296556,32.04843689838637,36.65890971355365,33.55775783935986,34.203740391967294,30.335975232542783,28.386127041422483,29.43130571101685,29.626846880337567,26.62633016474326,29.131404247053283,28.610980778048795,30.98472267991298,26.96781916932421,28.044156637039194,27.087081569601043,25.87975777051289,24.999196701305152,23.530985261833425,24.219886166017087,24.2293926030567,20.48145717727478,23.809513141039194,23.30145143392387,24.88314176285618,28.583737320192185,30.218119644908104,26.82435344441202,26.64928891439338,31.17073932119357,30.28588679136986,26.00798726999198,30.200239942052136,34.746165216747606,31.270321963375693,31.30296492440568,35.216116260929084,35.36597348111551,32.414342105821106,34.970088657767334,32.07017273445758,37.38641853534283,31.991271847692058,32.522096617151725,36.706657403896024,38.526019438657485,42.78921252012144,42.28285813318445,43.03110770934975,40.253274323793036,41.73956203755118,39.07562319141755,40.6289831248942,39.68754290161204,34.17238810374352,35.17278560009738,36.2643053663551,32.75065943240444,30.200555451765467,30.911238262965917,30.33349727605574,27.364203602657064,24.559370703294956,25.969568884947492,28.700028174418815,32.116264585167464,34.54413763677132,36.882233852842184,41.271496911900655,38.72065736157509,34.60234057757974,38.890411769850715,40.47362687483215,35.82494380953995,35.83786723662971,40.11027958840074,39.701553692818024,36.627540255165684,40.51866697954065,42.82510870979822,40.19626991046531,39.88480343143647,42.909517257221374,40.07379389820897,41.07695604682643,38.54171965553307,40.24067142246717,40.28685836802901,34.96678197371723,35.33838301511456,36.57138613530507,34.47179477836215,30.527464568347998,34.40893045437282,34.15973341796345,28.997624656775113,28.228900909587058,32.21413202377686,31.106989376291494,27.425978839800376,24.928739727754813,26.345976240370668,24.597296990009834,29.01630801088877,26.34902834861423,26.62870244856812,26.77984722948998,24.73660943298619,22.211357009967177,21.04143093648175,18.872078250175402,21.43003685989201,20.484747619694335,21.63997623409149,20.18885190016782,25.642938642644232,28.02929254519971,31.017137752722974,32.157491727457504,27.230867494644503,30.110671219434295,33.060791441531606,28.709737557213643,27.83039121788352,32.640789679447366,35.14122143658389,34.23572320247821,36.52473413535948,39.063981773594],[30.781045677288674,27.803155704874825,24.901155396304866,22.125773798868373,20.07874255326119,25.24145251530779,24.61817874117737,28.744547934644036,29.732074886958777,28.380731222086332,31.912980092325324,34.85000753264674,30.792862603866887,29.920660144812846,34.35728942650107,34.24321509652496,30.07172512048792,32.87793074255382,32.00103878573821,33.24340166325319,34.81956301426455,36.270378329629665,36.36954575523607,33.61334590959407,31.660385742010718,29.7916191137904,28.356133946906922,27.494788006222937,31.09729764071359,32.98013754655726,38.266254484159994,38.00710931783035,42.51547102370528,44.33944156053243,40.56207018553201,37.16470541358794,36.18562522499287,33.054369090000264,30.35734232498338,33.194989354526165,29.21629020372034,32.62051861900857,36.096596880023185,33.82849536585315,33.591169468110564,30.70086279034813,34.33283197566728,35.51017682919502,30.94180051586677,33.14875891977715,37.27767309757747,37.66127411578966,41.30922041993587,37.642810540048416,42.48942995360509,44.498224430771515,41.16178383689422,42.37964691533201,46.76491314504383,45.55260015117626,42.968846176106766,45.824301428959046,45.62442720936605,45.92392560944077,42.2704893048065,40.062574421052076,38.56002287436476,37.80964902206409,35.72559993407329,36.393617182292665,35.17254707130507,38.19369853363479,40.0663884632339,40.93979746558804,41.15081998921586,46.67989913236689,43.53089148991522,47.37998941431462,44.81086705445561,43.676298736468965,42.025636057128175,39.21279206377023,38.70549991981692,36.21539685192384,32.67687686484616,34.51319037299194,36.443975955031306,39.73894629214796,39.465844627903635,44.874953293028994,43.375035972166415,47.22100899857677,45.2677820817079,44.50298077023191,40.43324089077196,42.567221076252885,38.78372239652728,40.38470673850777,38.49398738923456,41.208447822912994,39.166768287545025,37.94460476123528,36.65560276191768,34.435412207038844,33.256836525414364,29.82527145351506,31.511592660055836,28.182781565414036,26.21914190516292,28.83483064696811,26.181766665398573,24.424421100644253,24.69751307103852,21.83581166426753,24.292891715047354,21.3736438521175,24.14661385455614,21.73632070794064,26.997224056000167,28.678203820201148,26.709915458574933,25.87329715532846,21.260046796775182,20.879017335116586,21.57078972761967,18.38347254548429,21.286840905178515,20.596438399545892,21.72208606533613,24.50066002192776,20.481912076241933,24.394333424740672,22.769297584966818,26.560892804544274,20.756168872922803,19.5132059409759,15.05572917114377,14.378403846843979,13.766492163805838,17.22034856605007,16.168004553943245,19.60281692540876,22.507024430999287,21.390103977715874,24.401066671869952,26.704879016820303,24.14721013248435,26.5058728916798,26.8557474979346,28.00032359880008,30.049332100922413,33.25474049824483,37.07526494758996,40.035466695707846,39.935905532996586,38.12160816434815,34.776999534893335,33.51922541852295,32.514430928125094,29.406506764605073,25.290224664433985,28.082087501899412,22.70466360196128,26.781688943226033,23.346424705498585,18.188674213855318,19.258304439857422,17.718759507954758,15.20632230646775,13.625062011025511,16.22650592180869,17.608183237000343,22.623510225184738,26.210257746696783,29.431157911671754,32.470796461156354,33.180216716066425,37.434159510662916,34.15972366874848,34.50255340296011,30.37355681532138,28.44996667986557,28.86298143923182,28.746087350232337,26.000787445914174,28.855017715383656,28.87085549988123,30.712043488970096,26.777636451972008,27.307998273575432,25.884092851738927,24.936543364483764,23.513623905742598,21.984293870584224,22.457364756261583,22.1362798288437,18.633597615643097,22.075257682074763,21.754276500950624,23.944518615119453,27.29290176314574,29.42496369770283,26.33135444231664,25.714500942817665,30.218822345296935,29.89595780229442,25.559446702221663,29.436888363755887,34.21005460636602,31.23399622455363,31.062638807028108,34.86862361172486,35.466085137397585,32.62667665876671,34.82552944597609,31.721370441012535,36.779484100137566,30.92675193078584,31.452481681151696,35.57772938708066,36.957495232679584,41.22158266211121,40.416406605841836,41.25372957071525,38.41426153065832,39.84311919315924,37.36880890938797,38.558272019296446,37.50681275533816,32.26607884786102,33.15715653109742,33.82467736330612,30.389625131631455,28.007274374336713,28.472528329742453,27.595283049313974,24.875266321604457,22.194069558018544,24.11003088732315,27.102005807774095,30.37100032786394,33.076615841579994,35.61157790241328,40.10329938757367,37.862023437877625,33.635798897556896,37.93355734945013,39.84837640734107,35.3986033494212,35.216004508594196,39.66069294928857,39.5399728559091,36.399252600883294,39.97456360598164,42.53847000524182,40.2190723005507,39.52884045702257,42.317394134079024,39.28715691938405,40.05946974535678,37.482201402506874,38.814210307773756,38.96517206017772,33.87589209295203,33.85330476694951,34.89916811104685,33.00824751116993,28.942503504483778,32.3542605961303,32.20532395115603,27.31088882304276,26.137276461716137,29.83443859441777,28.956412153728465,25.47181070848817,23.502376048217588,24.592625069488125,23.43333515832685,27.90497701362228,25.83550597084274,26.049236393693768,26.85296485131234,24.883843421951426,22.03756001204245,20.356328172742497,18.187179999551397,20.39501637255591,20.176154329595036,20.94177735325548,20.242552270489266,25.736614573874835,28.431614007280547,31.361472311836046,33.0062770589011,28.18443563947985,30.918792322894276,34.15505161806372,30.143768102233388,29.11886853345072,33.892160372349515,36.64626853378138,35.80177557645758,38.09779336109461,40.55673699029295],[34.56955834467562,31.639235754660948,28.838788553971426,25.84020721009962,23.915984925384187,28.88535466602367,28.047357443931954,32.14256352530464,32.864632388420006,31.131969300280595,34.51298116148424,37.64222085730121,33.31793765484693,32.193490458151395,36.472372327235036,36.394229103911684,31.97920732687928,34.34326160432434,32.84250703902274,34.163831911458175,35.255407699842884,36.544471870185404,36.26065120829294,33.20974118696923,31.709286394780715,30.144423952899338,29.185170523633587,28.80792176291841,32.71034165009224,35.01707584159847,40.04717222663533,40.21846437620714,44.682134941775644,46.168710843203186,42.40155181284265,38.7609497353169,38.1423374359826,34.463802164674256,31.630072398232358,34.2081600771127,29.86897802356674,33.24221830461073,36.551259129736316,34.16219225026179,33.43436047743511,30.4317941417572,33.87995150389771,35.52662180223626,31.26908575169493,33.14487490201418,37.483143077887576,38.19265449073186,41.842382096496934,38.44285475556177,43.37439633975984,44.98695000993099,41.56219995782906,43.13347441289541,47.378488428835105,45.76243522037961,43.300568891883,46.3192027195878,46.379985652721835,46.23140825719513,42.545671456407206,40.716614380189874,39.10277319474342,38.793158740892885,36.5473266955537,37.62793722970268,36.183255860159846,39.01910255276305,41.09633908033694,41.643621149680655,42.268364561080105,47.63266634191479,44.514972040209955,48.56461272085799,46.01167597362993,44.72552761489932,43.44506423641458,40.52911159834776,40.51791150085041,37.836187635132674,34.176314852256546,36.196935460805726,37.74034691076539,41.4235548153191,40.77312538362302,46.40948560506902,44.804066365067,48.53626539650522,46.81975904352445,46.35496986794056,42.439349287774355,44.60140940926283,40.94226255547394,42.77292362550091,41.141115638806696,44.17877418502052,41.83995044597489,40.97248797756581,39.31047880276038,37.43886310482931,36.03669155758275,32.924940192357376,34.69713329712917,31.377154529742114,29.724006053855454,32.289149918102034,29.79192251900026,27.691754064309396,27.944714388147613,24.745950033144826,26.766296316604652,23.521373261919617,25.79263535779368,22.80855828069606,27.65853086781123,29.953903247865632,28.03811614699879,27.67242568313195,23.072851144212745,23.2542463872333,24.463763054618518,21.489275447709023,24.92598885293342,24.040855990664397,25.2015682237082,27.610571761599143,23.739542654544866,27.447026648557888,25.372820004711087,29.21212235138637,23.38983664673613,22.319830523275495,18.23980968078126,17.152280291418972,16.148303460243582,19.215518392842277,17.06427802792595,19.83228842653588,23.244149362404094,22.727036796463597,25.67553380531116,28.435624373662254,26.142350638210075,28.938319124738886,29.659781784602977,31.040916939041,33.3776942694618,36.563913055824344,40.48473901526235,43.498328882213,43.15288637871084,41.26543782659653,37.753302540021444,36.637720163043774,35.265997119161696,32.343677001970946,27.852020538687853,30.147701627492285,24.49352586096772,28.353984463170722,24.813169217983322,19.27626854071998,20.62978321761311,18.397494625623278,16.621935673800447,15.343938454094404,18.333501962111562,19.726108576926208,24.675721699653266,28.319532949929403,31.58518122852444,34.89497924759778,35.53579416152165,39.75923942485704,36.17423747866042,36.6865992095835,32.25356140336548,30.98494277371383,31.042838447213217,30.57749402661485,27.773985703082708,30.073177962321093,29.90981284236567,31.29478373571133,26.839084576448396,27.719693812773464,26.262053334353197,25.934730254977993,24.797146248818283,23.775696196396044,24.533448735233307,24.4627583328897,21.43544012434511,25.13652342384444,25.21492901697879,27.544919020450347,30.891018064590895,33.14089943945044,30.148223533553796,29.55714723938201,34.03745313964492,33.8362249668647,29.530460358207126,33.34347827368593,38.15007751045189,35.23022561644618,35.016612509129,38.813004865343906,39.4510001767159,36.54480077466273,38.691280871203325,35.56487589380496,40.60020354113114,34.546567891078325,35.19970371528514,39.30728716617703,40.50500214549247,44.72025790216077,43.78007606081594,44.69465109636787,41.81137737636709,43.14117291484461,40.71131938072336,41.617149748322426,40.60638109529886,35.58900792605203,36.26082706715797,36.62489136823979,33.382096285334164,31.077163612675836,31.154649651171034,30.179060986713708,27.825336331502907,25.040936798131185,27.483533464921013,30.29334983644216,33.50989495162707,36.48977151053223,38.95717111646282,43.54144790442278,41.30025956120787,37.160486577223736,41.590811881456446,43.51748808678213,39.127637356259825,39.041799899645795,43.52361002616303,43.44501629833284,40.350111380065066,43.88784459246088,46.48987413399575,44.20811905917337,43.4941486556871,46.23998514240341,43.16902523552333,43.86206373609857,41.239330186339316,42.42384406855883,42.661540287509986,37.67670731821948,37.46556985450197,38.43274436573583,36.65101715477501,32.5501685329793,35.64806365825877,35.52473531073541,30.830469651981243,29.442601220558238,32.83331011203613,32.0429142991063,28.7247479109712,27.042565282408386,27.70724656710366,26.742279256355797,31.33476815501355,29.495024908444783,29.89859480790924,30.79535503875725,28.677176807242823,25.871469529134135,24.042437430047475,22.038533204610626,24.257115205320424,24.150167503548165,24.741950329569853,24.036555191826583,29.689638854336955,32.30425052058817,35.29909221641659,36.823504899548325,32.0240399720918,34.84619684700076,38.00256132785083,33.83603222254432,32.90985670375247,37.69933622210002,40.366810214118814,39.47193310341704,41.73005178496727,44.20613418792903],[34.24513236335093,31.23901090584945,28.13270419718662,24.815132716900138,22.478242219746356,26.92667200289155,25.521603246387357,29.44781137383297,29.851905336434246,27.650050058266263,30.867987685095258,34.105475223436656,29.536627284383627,28.283708656039774,32.38275240759079,32.3132227837709,27.777769818784154,29.939260462663757,28.28710141018979,29.715503318905125,30.762360102098945,32.210638045859106,31.89595185245977,28.926321379368442,27.398323108230958,25.658449186497673,24.815152364787348,24.44716420891704,28.4355318243354,30.952867364993413,35.756861498996244,36.22087572486841,40.6227290214539,41.95116850630275,38.25749411472893,34.51156913830099,34.167943893091056,30.336228258656572,27.60471840852555,30.537184233384703,25.968149456883307,29.028505860149867,32.49032564096969,30.321047664836254,29.708181732647507,26.975918303978677,30.625623650434175,32.01954155455644,27.86080743465891,30.286224277329723,34.44855577597619,35.12802136155379,38.6002452719359,34.94514036497311,39.87666822482482,41.41807138487193,37.798044875522656,39.21706513702101,43.51566650923834,41.92157575885165,39.20331673710494,42.048861942131175,42.016895907666076,41.825563946194464,38.220287492581846,36.355634597707365,34.56519404330308,34.27543932017134,31.973152472365342,33.141659110128195,31.679645744391795,34.53053594637684,36.569748824613946,37.05462592388002,37.744570498345674,43.10293625383632,40.07450284578643,44.17944782060191,41.737003792423344,40.5697045047925,39.486688007212244,36.77045501533283,36.960310096679756,34.53154000903112,30.679064062536227,32.449732482977815,33.70446941269314,37.44891257504176,36.506628990232784,42.1547782245788,40.41798592912283,44.073142064158944,42.4160044851212,42.07693405599306,38.24590109601243,40.431823050665166,36.879719939682815,38.82936783370115,37.42027677311,40.78220551452088,38.218820284876266,37.826516937524715,35.90380777462373,34.54815193288196,33.41461727199541,30.52677396660538,32.80863791660146,29.850289602193,28.310623866124352,30.373356104347476,27.826074993085804,25.10336554695263,25.076931636694912,21.50286684268287,23.00424308958626,19.548054197554503,21.50275653883543,18.328841667650117,23.079244419225592,25.490523730682668,23.63438854551841,23.492952860570494,18.991459938653904,19.532983127472164,21.236664205586386,18.530921568361883,22.83649880792118,21.79330379950159,23.39010743568223,25.65123411483539,22.5747482159237,26.500452614550365,24.183706417376982,27.446296347226678,21.547236782861834,19.89596341084299,16.67970548223699,14.365143736850486,12.651340913268672,15.490538081225113,12.71905989799199,15.580783493815543,18.87444501658558,18.535203389950105,21.60611586057905,24.367065790810738,22.18032276689991,25.228638915656393,26.347426138631604,27.849192617256943,30.615970988500003,33.67017908708445,37.76511833274706,40.83066688740457,40.07730667041905,38.12038018717343,34.42055932190742,33.590310520146744,31.80954545133515,29.347976084000166,24.645255042156947,26.45780789224032,20.812926944610414,24.769576240291663,21.704979261901922,16.185627227532496,18.426380370734154,16.703896378890914,15.443592233942157,13.212721381891594,16.265102003289094,16.845971251309358,21.79386771940151,25.291409174090663,28.333242223175855,31.749218495962992,32.00158148040619,36.43308671096943,32.84918950721423,33.68139250853541,29.373327435685052,28.376215068559326,28.896921938059446,28.66202716169073,25.551084657443194,27.340922752792306,26.628097413834283,28.498204568051005,23.965145417233217,25.4375820225558,24.559558729969982,23.927508340493134,23.531562219182725,22.71151237073296,23.877222477649575,24.43946859645999,21.304188059558253,25.072932394006955,25.364602807370606,26.982233598763063,30.906803091888296,32.60902101531922,29.435512122449694,29.625266754853854,34.09659692314302,33.418746501753546,29.576308134521316,33.688849075530804,38.07924946819488,34.960750600319116,35.19736446492789,39.04963668708295,39.19378443846591,36.537036136422024,39.13539106044105,36.20647975398947,41.37892953554254,35.96326520016634,36.25625136449847,40.36519887532233,41.86818395190683,46.205751995001506,45.356610029848454,45.857275140836435,42.83887144321548,43.98607920758617,41.1332631480109,42.37324891772834,41.774550599173566,36.42261018221468,36.9033521194395,37.87996667816874,34.77306289639247,32.04422102014094,32.15255064020096,31.95185482331433,29.486981104924155,25.979629922365024,28.16404657490381,30.183525234981396,33.61750229840852,36.51432423081952,38.553045911474356,43.124447688745974,40.42028301097013,36.54889163197449,41.220229573840385,42.68669770249157,38.15391120714436,38.556494997675834,42.9126564641973,42.60189011072582,39.782379269426215,43.6595969370447,46.0418698062673,43.632757379835425,43.42287358406042,46.34456463054718,43.478544099882726,44.16704930511394,41.357031120901894,42.92821890611591,43.39809427300988,38.17741587314634,38.09565247558768,39.54624285685869,37.73066632102078,33.501455557258666,37.10547392497557,37.29528491461478,32.320859703987,31.01167258772467,34.94483251505529,34.30213476419828,30.79634870711512,28.67054345374168,30.068148745638055,28.712262564998227,33.11208720908824,30.642827289407446,30.648257358108452,30.842262733521814,29.090951727975966,26.45763484597039,25.238210495775448,22.841524481564022,24.905657920087872,23.779923631292615,24.238393134287588,22.759331451584423,28.792094685708722,30.909623872981005,34.1420943527051,35.075640515031054,30.392648471337814,33.69826444154586,36.437379024280936,31.82046595150985,31.539716870398873,36.422781505748176,38.644570997663514,37.45765354198692,39.51677162485267,42.033218100958585],[32.17481527651865,29.036433026852375,25.507693744872686,23.02116259852528,19.811960297697215,24.79137951728832,23.422151813887385,27.119119093610323,28.250502115510592,26.405145255563447,29.84470549725506,32.61319388422512,28.062950304454432,27.58402954577842,31.606652039047955,31.138816546095757,26.830619705676412,29.339121689368998,28.337178523984967,29.15541733805497,30.706683384083767,31.862874498466347,32.12636899396629,29.42548304690186,27.28909921985507,25.700688690226713,24.10292877290893,23.580350249084344,27.28739780141005,29.340767067969825,34.81590031872663,34.51914121937927,39.05965209229367,40.582319583389726,36.664686994089585,33.18559524515669,32.193539798878476,28.734518569394293,25.86940871232653,28.425223560372462,24.475126012051735,28.08308011426917,31.41262177622373,29.051596767750944,28.860157007277135,25.964920217010846,29.62170890425304,30.68792355356248,26.091275309133604,28.357014381023536,32.43306373432507,32.80875004192791,36.441224414140315,32.80353331916355,37.66628752777789,39.63986892082357,36.339603982456204,37.6347630451202,41.985348374953595,40.763425775121576,38.30397001459665,41.30063676067064,41.2514614333784,41.594947236420246,37.83398484549346,35.6815867393907,34.572032729428635,33.97694205980618,32.28926121530982,33.24553983719965,32.2380693035365,35.45337098609327,36.96723075949767,37.49368278482723,37.53502467719803,42.82482797146723,39.40015331337282,43.2383555305562,40.49497846961197,39.15719333803228,37.533239703053496,34.57189532805494,34.278104413832736,31.630636580337235,28.055342917360864,30.07950690525721,31.953829977443952,35.448750653435255,35.226392211680974,40.78947791143707,39.50491168261588,43.48129830578671,41.75849044171036,41.13682227022766,37.289270884866305,39.714339164224945,36.16968904416606,37.415971031574834,35.72060764035405,38.63932148688583,35.96890756620126,34.95306951454256,33.1074666463972,31.20255072116574,29.642905211530262,26.678719284282934,28.582793338337755,25.41782332620375,24.026904442929663,26.38590464240634,24.193135956371407,21.747024197202727,22.431977165370572,19.090658105499305,21.50218032764089,18.433957587791575,20.809047485279727,18.33093824741375,23.545049477657773,25.37113001539117,23.866679856050315,23.302682759249947,18.974884330381784,18.756460231583066,19.84740652515979,16.1852160775306,19.83301418436918,18.321514196703887,19.403738720550788,21.451374499662045,18.017743136305327,21.806318794372807,19.545076118060177,23.053539253967735,17.180711203194246,15.9818892394402,12.314741211922675,10.995394628240977,10.519637005298662,13.2885056648801,12.23601403477118,15.266022386934159,18.30062853057777,17.246681456442307,19.997988874774464,22.669057548868455,20.366279674271855,23.075362937143097,23.653962790699087,25.42294454670474,27.70129024774159,31.227760802982537,34.91650915847835,38.39097712467202,37.86843989401028,35.628835283116025,32.098711030596256,30.736376823695213,29.30044429555024,26.141854543454688,21.540958684746816,23.983605779911382,18.37118222739306,22.227883523776185,18.680341766227432,13.386071496482428,14.740114535881993,13.323217892292112,11.26063386946473,9.234072839389341,12.101109963060455,13.336250089738105,18.29633757714949,21.925653068150282,25.20872704231052,28.48816957410821,29.287002674626105,33.385754867427636,29.82931337349084,30.28117707211098,25.939207717655133,24.566276398191004,24.814563653419363,24.592919789188475,21.67205894247316,24.157452039115768,24.061236221798673,25.89222667254767,21.963519448342854,22.6333484880441,21.466652463408504,20.432475840212387,19.497740210823025,18.30246661636736,19.257948458497836,19.681938337324322,16.48768261304212,20.27738622241902,20.762171588422166,22.49143518013065,26.389635730681423,28.233906537330817,25.273732270643773,25.49727897670275,29.906793753889062,29.531625333653807,26.011649447674486,29.94182102291672,34.24008481644561,31.628279008109843,31.978727090586776,35.70336877547861,36.03786178278718,33.79411067676392,36.283742383929365,33.27964149596971,38.177466601751554,32.86035433562507,32.75961940879485,36.75107149453102,38.01008300596035,42.43253397197938,41.35057477722065,41.58968609000314,38.430248809093015,39.414561732692576,36.476116108323,37.67039891813882,37.22175044500385,31.871990573699154,32.18975790401449,33.277741587911805,30.296883705985884,27.423711087086623,27.47132851145595,27.58187903170209,25.186043400950034,21.324950735546043,23.618211127212543,25.414974833673032,28.840069458441697,31.846930515869463,33.86158109766877,38.48685499461916,35.86576749604573,31.992710531009347,36.753088423104415,38.31498596404916,33.91162549975438,34.34995123647926,38.80475932587729,38.684479166054636,35.95862494990212,39.674643930087576,42.20661310159675,40.106328727678324,39.780692081922865,42.531051967822535,39.60302565115387,40.02303899005695,37.0563563067147,38.522822705525115,39.256982374433726,34.13505883252965,33.746561018832494,35.37444619319529,33.7654425314444,29.341497714679548,32.88126459166881,33.45258650671099,28.565089044139903,26.929730908514905,31.05093927258432,30.8061743906902,27.385933327672944,25.466272793526574,27.285828991703344,26.29344183768052,30.420825863427744,28.11625827091302,27.57405113669141,27.990415051517605,26.765250300240037,23.8716778584424,22.638730456858053,19.859389280457904,21.243105601124462,20.12285274855774,20.02666874537037,18.933892997794622,25.197030602720346,27.393138348988405,30.67522880152685,31.948202007008213,27.480229680893736,30.882949879746715,33.75840705175862,29.3986154216168,29.31784250148585,34.20152145984616,36.51414233111209,35.24329091478235,37.208671068500685,39.64032819612717],[35.09141398811581,32.00420265634001,28.654484070115778,26.544115449966093,23.52267763225817,28.886036023249567,27.818179032092374,31.506234646387362,32.877227600373324,31.180620313169484,34.64926198002965,37.333951810644784,32.7722038701919,32.40660454680323,36.36329585896539,35.79125923865864,31.459335812193725,33.783420037467174,32.50903220192571,33.10823527517285,34.37576734966827,35.13231008475812,35.24913309561529,32.301480288448616,30.427681474672955,29.34647394663805,27.90382558003483,27.81799839373148,31.614606023963532,33.7380325593213,39.32153902629189,38.946594285883386,43.50518331587386,44.878185712779484,40.8585622006535,37.349842951179454,36.276019867253275,32.56700441478536,29.47621202072751,31.292102150627823,27.444153554179824,31.422066952592942,34.376026678587834,31.668715565979618,31.041312323879886,27.773424030613974,31.061834160001833,32.67582071603283,28.197024534404147,29.57120494178767,33.940754430909806,34.555080321863834,38.36965798919966,35.251558072535865,40.13022656871752,41.917135426169835,38.82890026225441,40.54507926162921,44.71148604525557,43.22095546909714,41.20047035807755,44.53999904802588,44.816325531571344,44.95671960389847,41.05583799629364,39.210266637531646,38.388236915265054,38.10674495792407,36.53275177612863,37.748358124709206,36.699926857169125,39.854400895461715,41.39751270236688,41.663756583845114,41.81836219157373,46.90370809780922,43.30089673856524,47.172938914169656,44.256920801883965,42.614487188837074,41.01120717675614,37.71938268033001,37.584978127972526,34.4794608272881,31.100193494653446,33.58566999269576,35.50383880265839,39.210296379214476,39.1128626698745,44.8213250478782,43.715070446595256,47.74328207557137,46.191760307872975,45.66398392316871,41.919391658915025,44.43028215824778,40.94561683200954,42.056902029613724,40.3474437974329,43.13840033962995,40.33720050227518,39.063847088345774,37.11492475697885,34.95276448386507,32.80322231654038,29.995865161924044,31.359023428141526,27.858013708838875,26.764957125337247,29.588704546738885,27.76188188091442,25.68346789928508,26.79638776117987,23.60739844113398,26.233640581593615,23.190978417284803,25.407287661793575,22.729387429166504,27.717258116724892,29.862606412218035,28.479001623222313,28.07226571177897,23.761113846302287,23.594679570927884,24.586925373543686,20.741416678277055,23.83611685766889,22.188169151535533,22.70546961180173,24.385544582541954,20.32945446996491,23.538529154269593,21.113371140637387,25.218013282818916,19.603939235612675,19.350207040114853,15.289178028145521,15.138117540058996,15.197789303985882,17.628150292408797,16.38641418931252,18.62240471700317,22.13823886947805,21.38043725782791,23.805927177849323,26.848048108655064,24.738527708687464,27.50306834157022,27.930439088697394,29.876398535096698,31.870421256508923,35.60735123833602,39.066003966484416,42.67563194568926,42.33482435346921,39.99120851596949,36.54629581494874,34.91579739959493,33.60104136454873,30.05552576378951,25.410634206031308,27.907827960640347,22.179537096166538,25.57878650281399,21.449262238599616,16.04157155761504,16.49326929289823,13.9560507495818,12.007809707774827,11.635446885198276,14.543919528920135,16.699979723073543,21.33803889934048,25.077121125961284,28.60031843622915,31.94620337511648,33.18632069834286,36.89492170916386,33.08571465299433,33.28882453081469,28.592990513245287,27.555124498513354,26.909284014227907,26.1187016793187,23.559662628881174,26.118269019885258,26.542499768182694,27.431169457996024,23.309067343159185,23.511404474707902,21.684266249907083,21.45849747002293,19.940904700307744,18.987871159490048,19.743505229103878,19.76097333489284,17.23113617595544,21.16388373859658,21.937119780317403,24.494141060262972,27.80466395414085,30.294231228137132,27.7176728521849,27.28540991088704,31.623675655672482,31.908529310247307,28.178804720594766,31.698993870257123,36.321015639130856,34.15782589070074,34.14726935185174,37.755347257024006,38.61077770584674,36.28827074227833,38.32013099272038,35.10479840106537,39.744715929677405,33.77140233988072,33.88993247272005,37.80908951297232,38.52262990281781,42.856816382748484,41.43959510635723,41.94828787963591,38.78878698932165,39.73858592149894,37.15958321382552,37.75833003389645,37.088920565461194,32.25354781565906,32.42684740563958,32.73638762976282,29.905391898090087,27.404092770533598,26.986819194014352,26.489229904390868,24.596548817839427,21.092181952919933,24.2145946515104,26.424761352912448,29.565885959542133,32.95783066405308,35.245397306838406,39.968936149346675,37.79437109342279,33.81387751806649,38.50744660020938,40.49754049284473,36.366429882316034,36.5009067109685,41.11364491419169,41.30973321458019,38.458475454886475,41.7723883927274,44.57728352700277,42.76093198717932,41.958049433942485,44.440122445815206,41.284602497228725,41.50297822739937,38.58059465364495,39.525632559392434,40.28367704912042,35.513873593675335,34.685850579034586,35.919624128688454,34.54837748245216,30.10394256307117,32.87492674956864,33.41398403393501,28.98494681204324,26.901581885939486,30.37862828796446,30.316940460499406,27.23712270105277,26.0498780567904,27.106978978202147,26.788105848819445,31.062955815615453,29.541679106518274,29.24538506979076,30.421003667687152,28.984321844826724,25.87169802742308,23.990785350248977,21.51228280856702,22.754994732431175,22.665544999853562,22.32415860811758,22.106321903397614,28.156855647603855,30.711578036764323,33.842079573718635,35.61333737679191,31.188923766634506,34.28731532861505,37.46493559988182,33.44930545398395,33.00830185663594,37.81828968176468,40.429489853404476,39.31407198567054,41.350725640082274,43.71106421801994],[32.4710129501853,29.446531519030955,26.32299675867369,24.43776255944203,21.79218925851622,27.424018456145575,26.86736104993492,30.71468502496947,32.28569306940033,31.0982795831546,34.713203073468044,37.30021942643026,33.13443771389534,32.82300467274296,37.047110422210025,36.57414351507315,32.46981392910597,35.215895614808105,34.405017134858234,35.10493471640296,36.701391178341126,37.66408121138063,37.96340332244606,35.171325925223954,33.08498226966585,31.70998390228454,30.009960320416926,29.47711116333627,33.03161330689866,34.782659621086246,40.50169732178944,39.808533741820085,44.39468798636796,46.127263023898415,42.13943947351337,38.83823820965648,37.485113772026715,34.287487531097156,31.337086282358076,33.38907158282824,29.807878525301575,33.76186637897438,36.867784256250474,34.2607781816364,33.93179358799961,30.721171997897606,34.09526885030285,35.46203957148474,30.78284247095864,32.29082299105278,36.540205313605234,36.92846488877002,40.76526977008809,37.495706693620576,42.302117938958666,44.385648816063934,41.37141647806564,42.838507396781786,47.1040798838294,45.886667092186556,43.76914440136183,46.96751255675955,47.02644525896491,47.4479495997163,43.59929492548555,41.48881316119239,40.60562234814273,39.97790049038145,38.360081183100334,39.195174559360716,38.20738785019373,41.40307900535672,42.96219765345828,43.575462488617156,43.52357850495219,48.80982185609527,45.27884240589666,49.01646766618361,46.138831492712676,44.65691956217752,42.76432342916196,39.56836057177308,38.97826938877085,36.02220715038191,32.778930949778434,35.10500729149503,37.35193379794962,40.71160422782295,40.89302286741641,46.39231741217684,45.2959465794992,49.36198883924724,47.56116052648981,46.76506384092265,42.8262187961686,45.2098212912464,41.543302746226246,42.60748500737902,40.61950829126009,43.054953759349864,40.717023341451565,39.03437942385695,37.586781696016665,34.96837202974522,33.04546098126605,29.80732486604444,30.900867953659823,27.247509072348787,25.72348522646111,28.801175272871077,26.752928261629386,25.29585406131842,26.364740225379435,23.64571295164203,26.661313905915343,23.918470068830274,26.631184347452255,24.353521809558455,29.63814049171144,31.334274952535484,29.740913939874726,28.9162380393085,24.495046210841874,23.878216419000598,24.32619116744453,20.454392858987415,22.732434944274846,21.49487218726802,21.865174647109157,24.06078442467585,19.498976031722048,22.813104901137446,21.023244716866916,25.32606537805088,19.79242250149158,19.538992583436045,14.769324544187032,15.410264177635494,15.819790477847146,18.75178225010897,18.285220367474537,21.12388113763556,24.273195695102768,23.078123484027774,25.634926104701233,28.237477015293713,25.845533307504084,28.15656387293297,28.18109343805371,29.737539458584028,31.357757722823962,35.02660243795158,38.40488329153993,41.79251027381591,41.851001692655466,39.71632849196002,36.494480760446,34.74195728067348,33.909088235239366,30.161556206704315,25.99191804548814,29.0362493760077,23.582164089401918,27.19932332322093,23.12920885665732,18.064098309577698,18.091365668177826,16.028283542561784,13.254069548068806,12.93444935284957,15.408815128684935,17.734030877609158,22.42940399801162,26.129566687555364,29.634246206374115,32.68111946118448,34.01186114712017,37.75265611684096,34.265026774935734,34.248403160563775,29.831180718120333,28.07188405444234,27.64364766200534,27.1038427905915,24.730089144920626,27.917682732009634,28.595249664856446,29.742456480232796,26.02590677188722,25.84333366521678,23.86890677318961,23.26025743027676,21.20584056066067,19.683502724527184,19.921211338597367,19.273172390654736,16.3049931040786,19.88552512012469,20.03494221981293,22.888351042365564,25.818538896136833,28.501456798858644,25.890224579786466,24.9201512911197,29.29071257961737,29.682300016760454,25.566270242200233,28.97764294526558,33.84583929904367,31.62961679691623,31.344508336158693,34.94210704781336,36.01666599683642,33.5050935694436,35.31799429700001,32.033068889704836,36.65569330884242,30.447471037350088,30.781415952041577,34.738578163929326,35.495336399858346,39.760503105575175,38.49301914710929,39.28133208639598,36.29539985104662,37.520047419074956,35.2025846591698,35.89040818660899,34.850763573043906,30.00510824451769,30.587536311132933,30.76477342518589,27.590590677141527,25.343218057158918,25.339283789386673,24.292244757516944,22.06293694911933,19.29108300873839,22.013858041143447,25.020151023068177,28.071209105559902,31.194148021850822,33.83768607285418,38.45236906326443,36.54776189214917,32.31349315438656,36.68428792380837,38.92218941482844,34.78683773851245,34.506019446345675,39.123426619544475,39.36611220325941,36.27751472737627,39.45258617857809,42.30905097877033,40.44954304769682,39.3881660408299,41.84409805579937,38.620457158934656,38.99736651834954,36.29090529000218,37.16251610572839,37.60227700362439,32.86149730785525,32.2217616643115,33.15976906743223,31.6468572518102,27.37729495179847,30.133861727071466,30.32670929001061,25.871740344309043,24.020871954325262,27.381413074885163,27.02411798229065,23.89183852189243,22.707736543958077,23.554411220847488,23.266085987702596,27.591295215270332,26.255917150829383,26.167851864191825,27.6556032177228,26.019817370881043,22.847619766604396,20.71861380877056,18.45632551550884,19.902273784722727,20.39021010426863,20.42406995929829,20.60788545048385,26.16547572178792,29.059180417739583,31.950959893814176,34.09064378156041,29.54204655429407,32.222096350346426,35.6661346993171,32.012129604902924,31.05358474482464,35.75724521890122,38.66957324086473,37.80189438138834,40.00847762486512,42.34413164255643],[37.33461696004963,34.401048949312006,31.555680910813873,29.246870521923977,27.016945027206443,32.43951467352781,31.746940864525286,35.68274707292235,36.880476250643085,35.30862257071521,38.77776628691738,41.65323697932533,37.23495747796431,36.53095284108629,40.662919771842795,40.3024465631045,35.91012534609327,38.182931898800035,36.63608090937375,37.50081812321905,38.50336039881378,39.29650764071206,39.09621759207899,35.93023301576279,34.443884048383815,33.41228259376222,32.318958824792205,32.314655436787675,36.22445314500809,38.47165190007462,43.85113132941312,43.69929056566843,48.232205461112706,49.602118334396074,45.647217609044944,42.052874784540464,41.15103655530076,37.32541803816007,34.23473280413195,36.01014563210017,31.977380301539668,35.85520814570781,38.76211034325544,35.9953347819217,35.021906951763704,31.664615878249606,34.74210118868409,36.757397497104485,32.50876928738435,33.52470272198171,38.05441781426754,38.871981154851625,42.70985355814764,39.82175840467056,44.72003088809654,46.281226779405316,43.17914122579819,45.100522163135686,49.16637902564105,47.42521728609951,45.478383755366615,48.87756918784522,49.25424079592437,49.09955812325441,45.22275899496067,43.590958246860566,42.51839043172849,42.41233366254386,40.53382176599333,41.82172430181193,40.52723135204516,43.46926532018245,45.337174794986495,45.606392612370506,46.09094093733043,51.21283503246102,47.75986854814532,51.75111044143216,48.917891469975224,47.27218269493391,45.84252008153718,42.536180384411345,42.54612180796614,39.377566317583096,35.991264422218485,38.5101146385734,40.27642821503958,44.09269480879735,43.79287653810113,49.554596266175345,48.290695630137826,52.1978808193476,50.64965569404041,50.199346031556345,46.402297301331856,48.77132840220871,45.20335295699327,46.6239951608702,44.914966739766164,47.724890492241016,45.136505858253706,43.86903168841018,42.05634641579668,39.83209182934132,37.72553313798751,34.81036854837534,36.00886081606237,32.375887987277785,31.122902197938533,34.13138105988147,32.147765930231216,30.352860905414925,31.25884344774477,28.182247268356257,30.668469405268645,27.533931839864216,29.749014839808403,26.816863350349593,31.620690750401668,34.02410237005116,32.40618004466805,32.08073384515035,27.590937907884882,27.594403218122462,28.596385926837947,25.071208081665954,27.96007743795762,26.686106524002284,27.20246838483162,29.10837891491767,24.73459902709199,27.81867562626158,25.58460954362743,29.911288800105872,24.398878153623087,24.25116923888534,19.90799319277738,19.91762327283748,19.71028805235175,22.36906059731194,20.609298809210316,22.744443924492966,26.468142775012275,25.975864456826912,28.513984769080285,31.60842701694049,29.478621172927262,32.27234946760701,32.73158916661611,34.4493945435473,36.41914037153995,39.99296726506623,43.55168125959209,46.90330573906354,46.72721140846424,44.58703795618498,41.17749603250399,39.637671267601085,38.41549139037913,34.9307995971503,30.37323972821508,32.85183137476426,27.087215913375594,30.492917529782122,26.337260053082364,20.840880153327003,21.242692147732814,18.294102619602512,16.550682238858737,16.560622381064533,19.463161409111894,21.6985786725763,26.329343306006926,30.078020024938724,33.61080635320039,36.95724270446951,38.165500167774354,41.909755424018265,38.08022772017674,38.268188527512926,33.51503202092879,32.50652844284349,31.681866285224622,30.712587056997815,28.303579580646524,30.78938488338298,31.25077916397778,31.780213978221703,27.40726573803387,27.639072868985185,25.576927755889756,25.849915937201118,24.137718855792354,23.288651974100443,23.836669372859,23.438056245459126,21.119907646012248,24.86986018560503,25.35076068251594,28.356713255575322,31.17870447227118,34.004401063471704,31.47486110857127,30.41520027948224,34.74392141218357,35.24984417527989,31.009798599393466,34.343752397748936,39.3215827499576,37.06248130306693,36.621506097197575,40.22287175391671,41.37951706434103,38.64169360883338,40.33941115876862,37.021703969639404,41.65418815216919,35.108613882846846,35.76148325540204,39.70214946079539,40.25445541851086,44.3932558261051,43.014808759479195,44.03873477811954,41.09665904496954,42.27859145398636,40.14442744197458,40.445985778963106,39.3361996347448,34.87483684792284,35.286301991777044,34.95470367481921,31.99277369960207,30.002541281076546,29.56539669108691,28.18162625196432,26.437860554331454,23.871341270914055,27.104061001034452,30.04786317546365,32.961815814820994,36.33507153636935,38.966310192129995,43.639513877630804,41.813370861019294,37.65071836922557,42.06912239005163,44.37123169796761,40.30923888386353,40.03478181895843,44.67060276152827,44.95190717551095,41.84281626638283,44.946305914856865,47.84058017255166,45.97103888205709,44.81748546572208,47.22820249581998,43.948804240012706,44.309263951137936,41.64878444678525,42.303163461851376,42.717622236407585,38.14539553930846,37.36866181522592,38.06440386498575,36.63574347371799,32.45971743658568,34.75177618651261,34.79818036216229,30.656555568632882,28.69267510982044,31.476719541296173,31.07854118336292,28.19946170570519,27.359105199257904,27.461067722282657,27.346616239003712,31.881791745980202,30.86848207719138,31.216264413653626,32.84198057816414,30.839593117831647,27.76902834347795,25.413856962735817,23.52836927836412,25.23530751026303,25.94506610312992,26.014581957267193,26.140306257868936,31.736455556883378,34.60512354586412,37.51442588252717,39.53866246356399,34.92467730924081,37.59528279007385,41.00309989677596,37.190613892571996,36.167145544991,40.88429312893265,43.77826010044119,42.93314688831419,45.1702575447468,47.545128030614705],[33.117327672116,30.37478638601574,27.971758858419857,26.624425145520046,24.89953761366848,30.77681298352639,31.03296938971666,34.992654949091126,36.81553337081211,36.25735241821291,39.97568451997337,42.44053877862255,38.73315255849187,38.4486881920371,42.89534473170091,42.517633074535446,38.6197966019928,41.6240130894709,41.02053789259392,41.762939014819665,43.442025218047846,44.38694716478467,44.70190314840519,41.866096734330256,39.81927850096049,38.4523406932023,36.694799542476886,36.01929664399517,39.42559884370896,40.90012692095745,46.72490999577563,45.74467243460989,50.33690408861987,52.329431161146566,48.345381782872536,45.21455974478287,43.60442489512518,40.72758365011613,37.79743354848891,39.66183927532775,36.341097100851705,40.419636248398696,43.44935663507543,40.71889105530934,40.343504982927364,36.977196977274154,40.14383457157334,41.679813454282105,36.96938130027896,38.016958313704485,42.32383207924898,42.67454901306721,46.61889927466709,43.59360257291938,48.314735449756434,50.500702987892794,47.70789477721193,49.22856294906837,53.42765158647924,52.25961914229677,50.337133541721215,53.61171574579253,53.67451383950619,54.17826849045622,50.304606837885714,48.168383430992776,47.324509713378625,46.58976642702148,44.91921456458929,45.55725529582351,44.54595660653364,47.687762577942635,49.355767318553625,50.155478019259036,50.05262287421635,55.42331460653308,51.89799982766512,55.55136526144064,52.63569090429579,51.13652766003626,49.02402501059288,45.741298860929035,44.84992086900912,41.78891005159237,38.806556353613956,41.223798947999214,43.747800951202976,46.913390272219274,47.377648707442475,52.75909775264592,51.736334943758024,55.832101048460544,53.887308448653556,52.90441151657205,48.8345527894468,51.09327247300076,47.28078730029605,48.296069308245485,46.03927432209995,48.02260296440232,46.15476626572059,43.93303902885755,42.97465958832527,39.77993444080654,37.78231803833667,34.26250498688975,34.68646980968913,30.75886341823021,28.994028243376068,32.54491984255246,30.521093084476473,30.000759313934417,31.169189338523772,29.050359206311,32.40655684966035,29.940460221847268,32.95912098727862,30.87737924762331,36.2277283249625,37.75651477450827,35.98963088428772,34.90729219332827,30.40243177606389,29.48816930290095,29.412083941188385,25.635744773277587,26.751564903718744,25.98849400516775,25.89918734708682,28.334492778457662,23.10381734904037,25.91294949884711,24.81821859811287,29.510025448094872,24.47858568596468,24.745505552684367,19.46239568006691,21.193789561435455,21.952744310898805,25.059339152692054,24.933246657649295,27.854582311991383,30.984987459894075,29.652606273034152,32.17835214062183,34.595962482466774,32.076691305392764,34.011514180100335,33.609247140517716,34.81124889926681,35.87421673700208,39.47642700249974,42.601570602792464,45.71540277684462,46.3458518026442,44.448755934235514,41.55388849986553,39.578274683444974,39.3173653152172,35.24229619408415,31.58877627869722,35.08417325912658,29.851182344770688,33.39211060284434,29.132858880685127,24.351227980684445,23.663028985365177,21.434240768153092,18.370719639907975,18.890793261790563,20.930491658552658,23.68541974499901,28.13292868028779,31.77546190590655,35.33039335438135,38.09324709918066,39.728105886522144,43.248771042635966,39.95634080655277,39.58590267742197,35.28735648247104,33.09328502262231,32.32454869427809,31.6622237184235,29.773234596325093,33.467117292973406,34.64375488026051,35.41031011167209,31.940342297281525,31.184645756624437,28.71662308025839,28.353771988532035,25.531992120725004,23.740902850723323,23.291980641529072,21.63515379094954,19.016110574818402,21.88682273474344,21.416981503207612,25.09823886657596,26.843492570317146,30.182598128132213,27.93389410928889,25.72660433279875,29.8523297584362,30.903591031924883,26.202758582922407,28.934010197396574,34.28073506578916,32.37380186305044,31.35018813224925,34.717546130522756,36.519904535680844,33.65898661520157,34.676615576146396,31.20934098059955,35.454494601525795,28.389623254324196,29.38423288717322,33.208094223074035,33.49554758204754,37.430849997932924,36.12818061577993,37.6760199587468,35.07496429026227,36.68257407391131,35.19297823911754,35.41990886073745,33.600521521106785,29.455924228453163,30.514335258511966,29.674155538318722,26.243493411266808,24.948211965004166,25.114150483287144,22.541506012686625,20.467395033900488,19.59009224624851,22.248196035366416,26.57171547465068,29.078828650584253,32.01511161560494,35.29675700469671,39.69932519200485,38.584104916873066,34.056695108197914,37.77250938555557,40.64455505016593,36.82310439244884,35.72659696308169,40.33772793089362,40.87863828025495,37.42020417758619,39.98455662161885,43.064151105085024,41.381248464940604,39.56848390959365,41.71051604838201,38.26595710667374,38.730006655296386,36.49028024844373,36.7532140329712,36.67027026785278,32.45484413766202,31.760840611173585,31.77239573664761,30.291797373060135,26.523265193598753,28.3310362054388,27.81037903298566,24.018572128307767,22.265657658856437,24.434956640139024,23.67771482919365,21.008428104437677,20.713929903099032,20.09216689748032,20.59214948045136,25.008066743278615,24.86631814084925,25.497774611368296,28.0451756993359,25.893182680458256,22.694590237544197,19.697297036887946,18.42444417068782,20.050995751449882,22.21048105896,22.63101736146825,23.871630022320495,28.293586786762617,31.76482133535031,34.1195707054637,36.99570880207992,32.438691278053675,34.2318994477359,38.14065536244585,35.26529757894164,33.37436736809782,37.730224901337905,41.19597967545074,40.80328148899219,43.26265014817258,45.48743124609707],[32.810425611738154,30.12948151522484,27.994925522819205,25.782207271754185,24.691387907979838,30.21126015660185,30.42231487067998,34.65700393196502,35.92883828121057,35.16651455126518,38.79080499110855,41.61550549989238,37.933944686585306,37.10223874115243,41.70718724830368,41.64738601232483,37.61594567808336,40.551187912149466,39.69734699769689,40.90449744772131,42.4088617763989,43.69011011766191,43.70748506873554,40.782761653012926,38.997199117614834,37.349198972050885,35.947750131075374,35.166801984212334,38.717859627994294,40.430602124123766,45.84343762481644,45.34827934390584,49.87948830673261,51.85604742882458,48.03600171222861,44.737735243974385,43.53379112451964,40.51987636185719,37.719576720137155,40.117181208656824,36.33369451000897,40.019804804115324,43.29835791118996,40.777606760698475,40.29294130746089,37.098706183073226,40.43291392776057,42.00855510786354,37.44379360095809,38.92190951860461,43.26013981937043,43.732767596977745,47.56592228819397,44.28847417936565,49.11358527734879,51.11970501110952,48.01058676908846,49.46702680891206,53.74446771223036,52.4274508943366,50.16093236977168,53.22855680705167,53.1713857017103,53.415471051214524,49.680817875857386,47.593152284770866,46.20443968799195,45.51577737143403,43.39887301900069,44.02549897167239,42.73946239453004,45.660013205111824,47.67627317543383,48.59554682720291,48.855606430693804,54.38427938065843,51.184543805477276,55.00707460380468,52.3434027633619,51.06972029971807,49.26758235988645,46.23501591738676,45.56607093545853,42.78126917085114,39.49340132355967,41.61379611158741,43.781190988762766,47.04186649248511,47.0185368158408,52.42078178464564,51.024947520634605,54.90556122790819,52.90201950535393,52.03415649597307,47.88697949575888,49.9368318898438,46.04600331582832,47.59698350111772,45.48202059169033,47.79125933605258,46.09716186610461,44.340627611595636,43.40578231646816,40.60703992308755,39.12625240936948,35.496355112384826,36.4427328151462,32.7222375955002,30.656994809661118,33.87182076413787,31.355169114941095,30.49847678246062,31.03567167699213,28.706669412623498,31.54441925890849,28.84798038152116,31.79487805393288,29.430137211937552,34.647298154303265,36.35575608191758,34.28907544604332,33.323293283688784,28.65953078218578,28.069304028958705,28.290186040511323,25.087759832954013,26.808493570707437,26.433331651860442,26.952353509956765,29.801197270981792,24.920694803880664,28.265367435458685,27.085544767780966,31.4976916855564,26.08349212780433,25.64122272055183,20.508408691813223,21.223639255887164,21.198449600561666,24.63746441032646,23.787354954631777,26.94544751501444,30.086976567662006,28.984708194888277,31.854089173713152,34.20764946240275,31.61554338078814,33.725245299837866,33.6751533237875,34.61222612179741,36.1023859213424,39.3327206173686,42.88107881179631,45.63677236668345,46.09545708421094,44.45731325281765,41.40386080312782,39.863737227809565,39.36610338762176,35.819346984859585,32.0476303221346,35.247317375878914,29.91911146319148,33.789453987594264,29.896408180513518,24.79590923865268,24.940105649225774,22.77297513854313,19.98444495630816,19.68623688495793,22.072087242966276,24.251969953108365,29.046905099510695,32.69992752603014,36.10815077205853,38.98786888086966,40.123421472424056,44.08033876503991,40.82586866089512,40.794393216539355,36.559492095888885,34.41704959280294,34.19184057118367,33.73634264462637,31.47649826675711,34.791738208392154,35.41383009060128,36.571085324247925,32.68524401197563,32.589406530085014,30.48403324762607,30.06293875981365,27.779944360244766,26.114941797097416,25.98901543170639,24.713566968661365,21.66747778865322,24.692089398602405,23.975949997436505,27.194094476819412,29.3736483652912,32.310323149102956,29.629051503994013,27.700886447398474,32.00836075528424,32.468321216032855,27.477564120930474,30.650712639174618,35.99956757512059,33.38460336118855,32.39678582648684,35.986177710218634,37.40648063141403,34.14632930841779,35.47021043936493,32.12514113216749,36.8154868434385,29.91713911918328,31.20361712028096,35.21725008415556,36.04585372276547,39.964250330276194,39.069529811048135,40.72546929874378,38.24135162041767,40.01854485165212,38.388788431333,38.98095187956581,37.160413172397874,32.682269937959965,33.94764138432356,33.472709695742324,29.848129562372733,28.399006644455554,28.845249385625756,26.463523966056407,24.025614234869398,23.02406199208631,25.20369459190783,29.477962381505936,32.22713434104259,34.932534893538005,38.12577855756559,42.49759827179802,41.07436353902231,36.52991629725381,40.265124306266735,42.886613840594336,38.771993886989364,37.76789296126273,42.27801141422044,42.51515567030871,38.97703231630683,41.89876638629884,44.74983904055926,42.644001854825746,41.11804663627573,43.562335937497835,40.2545035710572,41.076277758220094,38.93761314190135,39.57251087859549,39.23200090597443,34.698311434965326,34.51872630403753,34.59635272288001,32.77350340949457,29.158846427422617,31.51255963285742,30.653081285026666,26.4641221437801,25.296450099877035,27.728860360021372,26.45391418141256,23.459653772373734,22.445361003913618,21.85761695013042,21.499670859632694,26.210587367867195,25.46059165687084,26.540725766894653,28.557934689579774,25.935986131842775,23.009411649761145,20.272573242432163,19.173511827338515,21.60789906321117,23.231139013776566,24.257435799592603,24.77944125495568,29.270701020548632,32.61679889139398,35.033541529576695,37.50119015366423,32.649683018197884,34.477636421162856,38.24612745934415,35.033327962752914,33.00876793753543,37.44302061947495,40.81382767725132,40.46842375506338,43.02910089035709,45.376825781198555],[36.73205879759881,34.08156792992246,31.998317279860444,29.502070223225626,28.451379592885466,33.82589406313219,33.809601951742295,38.065572660688304,39.09424776170018,37.98561851571576,41.50582581002883,44.52433297097887,40.59311217895962,39.52857943057543,44.033558054447695,44.015823374405564,39.76206768909026,42.34999207162762,40.98463769194648,42.27252976880341,43.374493610521405,44.5269848117379,44.21547941164035,41.053191228247044,39.66025440550627,38.25743502107205,37.24739954507497,36.84086603544951,40.64442369000393,42.71558387028672,47.921972118488135,47.80160020030337,52.30973052010363,54.006071245425,50.19067260658936,46.675917390754755,45.780307268368475,42.30452493820224,39.392623691618645,41.59318372148118,37.509497925841316,41.15824435988325,44.29743636035997,41.68068279625191,40.780385890652816,37.505264200486415,40.655685718483596,42.63615007556035,38.352317134473566,39.535292036398296,44.04162338902529,44.79440343931792,48.62276255460993,45.583735313538746,50.47940978875388,52.13559704465117,48.95424763056839,50.716492941538185,54.86789292442524,53.19678268263423,51.03920804838452,54.24270414776313,54.408980637732405,54.258434572752776,50.50484603916593,48.745588630916465,47.24907735725511,46.92831035703952,44.66053065116392,45.623250550215076,44.14039628531269,46.89622317923776,49.1010673859936,49.75376648145593,50.37600950762439,55.774077669089394,52.6112390726202,56.61159649836621,53.96690428641539,52.56859364100827,51.0869348850808,47.968274320439946,47.72302428294752,44.776462728508314,41.375524348209396,43.64389745517744,45.485059636905305,49.07812264089058,48.724788314831734,54.3267818057497,52.82722951295964,56.60819143581868,54.80044946379512,54.18859936145658,50.15632926710346,52.22727823087672,48.42453927869438,50.197002770511205,48.29807013661612,50.91050796666116,48.95768936203343,47.51780518827302,46.25654989214742,43.76071565381965,42.10543515596047,38.7265402756779,39.79312399342078,36.0810019613023,34.266224789070414,37.418711451435975,34.99126806700599,33.78071988943463,34.27105932861442,31.611540868923015,34.10591968438422,31.11866178421105,33.701286892898935,30.887751009091083,35.78683553547193,37.98137775885714,35.937808359643924,35.339325477581866,30.651861015919238,30.49959108540208,31.15370328653921,28.09009767232614,30.366581732720114,29.819374725551278,30.438148707217195,33.01897272864189,28.282147275433353,31.523406751656804,29.932253141827797,34.37290514889617,28.884000554703015,28.508801786914173,23.64818978445422,23.918278939799706,23.547387363859322,26.78006419823039,25.127473762670515,27.814036169870104,31.317446554907875,30.66773996867431,33.51016846345893,36.22206631524609,33.8177706556651,36.296879878075366,36.567719987970584,37.70273934875938,39.48067746176245,42.70503603931328,46.38538798911185,49.19464029823389,49.42422789217047,47.7207594548172,44.49485252149362,43.08720353972531,42.25887483621083,38.87006748738987,34.74803439627052,37.555185902362346,31.975639330475445,35.707964212669054,31.73589347976709,26.33090808771166,26.721791316609576,24.03487716498597,21.831892400078164,21.683462113490776,24.39178076655088,26.544792703635533,31.346209224093176,35.06448430364866,38.51899223482102,41.64164905485021,42.703631358912894,46.669882719898915,43.14358412783074,43.26691916849972,38.766488487847845,37.162487068488566,36.66773938111433,35.925707814986474,33.60010089477353,36.44916105715545,36.91536899134553,37.692869486878536,33.38898894829344,33.57573592108343,31.44353273169165,31.548655941103277,29.517380054684207,28.285789733549297,28.424970235659515,27.409697445424698,24.747371910833245,28.031003864616157,27.69266991625799,30.954373033522653,33.22007991005454,36.21066761840625,33.57466116555284,31.762569950068727,36.06084759793453,36.57203557242869,31.640374343894706,34.806569711707695,40.14713646552307,37.54437304014398,36.56292066939692,40.15118602110905,41.55956873173283,38.244983557840214,39.56400485166897,36.229412580644215,40.90227866622035,33.908623939808216,35.28280583963198,39.259766262316475,39.937905813538755,43.77717404682246,42.771406689245225,44.48640923301731,41.96771227675024,43.63700631627004,42.03582722095275,42.37278894789333,40.61337929491654,36.35264852356064,37.39416177523064,36.66123083819748,33.257229898819695,31.859873469859238,31.93572700129106,29.528146480186034,27.47472841151113,26.294849174216285,28.9252853040269,32.946946453833135,35.671674560035285,38.6221618989227,41.727460168121816,46.18672464116386,44.73595342329642,40.273149717305046,44.15172833741081,46.759379002256516,42.67237483597323,41.788351451127774,46.330967516118626,46.58666135512103,43.09752598562632,46.01840655338421,48.88949230007361,46.79852120428777,45.28597659590414,47.70583369157836,44.37783502964429,45.131619415818065,42.94451354947731,43.46806398438334,43.21802610994021,38.77491583217704,38.436940491839756,38.473424849560054,36.758252550509226,33.1196461819347,35.204744370540716,34.39543258087994,30.417831452125952,29.068563854882647,31.215093508474627,30.052820003743587,27.26036240944633,26.474786447678657,25.574398699219252,25.350762446302053,30.08532700650318,29.477859745064816,30.687490448082038,32.681037871988785,29.959596605147787,27.10659466437247,24.367910453413494,23.331936425253378,25.75890852113925,27.285606641585552,28.158808888735884,28.55000463368213,33.295942011817864,36.54572740752333,39.062084231598014,41.3799924640902,36.510347102719294,38.47558186064969,42.15834740590229,38.74446988962522,36.83873603314881,41.32246077708954,44.6005502464947,44.195913318765946,46.73147025734191,49.115528651508804],[38.410063540411535,36.04827124773396,34.59277454847639,32.12790719838416,31.888298827152088,37.1658805919567,37.60904408516296,41.99303121566032,42.94588067210661,42.14564265200986,45.66470720213249,48.73610244070664,45.11318456475504,43.85953594518173,48.536525479764165,48.70447584026943,44.54119846498381,47.25251478416606,45.92896410666414,47.415705393686686,48.502514515815335,49.77737795309074,49.36192536557226,46.15785007032868,44.888994453024736,43.38468791243314,42.46520505732827,41.92713111519037,45.6806926339814,47.668557913194896,52.767817190896714,52.66534571774361,57.146131264374034,58.99657742474037,55.254401536038614,51.781146011690424,50.88662076799895,47.5573217211888,44.709870962570704,47.00425527724055,42.909124951068925,46.4846966646109,49.673103162054254,47.07667625424487,46.1210658272757,42.83620168359474,45.92760229996225,48.00418679323478,43.755532875107534,44.84510242518818,49.38299836161253,50.15216095048982,53.99831330116097,50.99728330933402,55.884794196299175,57.53805417121942,54.361412965426744,56.122997244531376,60.27000865497905,58.572837751006126,56.39119636411616,59.55111562840468,59.66766179038326,59.46063417447297,55.75762529120883,54.00411247571889,52.314148407015765,51.94392263759835,49.472158216289294,50.30040867426518,48.69846677548503,51.30729275140967,53.71814226461466,54.53696174584499,55.27753892742802,60.78231084103745,57.76703726736739,61.78013158652087,59.21936017513657,57.90439575978797,56.41053094184946,53.33848828561216,52.99199173525758,50.089069990333456,46.72138847315186,48.930453531256916,50.80743354775895,54.31739705342548,53.944814725680395,59.47712634649395,57.87026752387422,61.57232911845169,59.65190970224492,58.97162472180801,54.834238054826045,56.7313434372558,52.81792392421299,54.777960127981736,52.776357850192944,55.23576767151352,53.6502333144461,52.070996231541116,51.115979647026485,48.430787726264015,46.93252692357953,43.34662574719611,44.22703717631915,40.44790740486398,38.39530927188051,41.6719530283052,39.08768922836878,38.28222804467581,38.604804169731594,36.222449086494244,38.721940039175095,35.83810655717162,38.5614826976067,35.79345716656306,40.654718048217134,42.79019112581994,40.54545704970315,39.836443107603415,35.09681922153382,34.882207098443665,35.33002773901911,32.540065549379776,34.365103315862385,34.20527490686699,34.781832436997036,37.62715923080472,32.67266640997935,35.82748898849439,34.58226360857647,39.126010694186,33.761981448387054,33.41657112595897,28.33867501126025,28.857053045316995,28.470096878949235,31.88585797217717,30.25853690838675,33.06926208439417,36.522757277054,35.85299636243925,38.788476134208196,41.358726626992805,38.85467775294736,41.16944969752117,41.31802767782411,42.149783947515125,43.75605896376821,46.77955166325815,50.46150716932197,52.933653335207396,53.45053019115704,52.00976637739309,48.92887599664432,47.56207539754002,46.98367637479341,43.60420841943468,39.73355046964022,42.70204481672282,37.21590411443552,41.030152002846464,37.076904370625925,31.722243960881173,31.997147231038202,29.30036033300839,26.974962720770545,26.949614845761065,29.54213721851409,31.744530454101266,36.54920110929369,40.249505063099,43.68699313916919,46.691648505680384,47.74429628469766,51.75261635559081,48.35572044747417,48.400508714814045,43.98691015927713,42.13967907994321,41.663545615692044,40.94034137610188,38.74260723189007,41.76195522760359,42.31295131234037,43.03917577753004,38.75050916103113,38.84035616143299,36.57527028113973,36.75591718863726,34.495351179383455,33.142734500602195,33.03225190382893,31.637384513385605,29.01090491824607,31.95470062723913,31.21077470028382,34.6926486133733,36.43428029999798,39.60259326983788,37.038994969358754,34.660872443139404,38.80341941460101,39.45988638879633,34.15889693839242,37.0146168504583,42.553897748887586,39.881672896631166,38.45931575254707,41.91883871609442,43.607702265570715,39.93525738411477,40.82547567469725,37.51026411888347,42.0232785686088,34.69534640999311,36.635047468359645,40.50556851144779,41.1012549562329,44.59760281490074,43.79196487162941,46.065573364860484,43.90548906116759,45.87487675375487,44.77022848975932,44.96250608558695,42.725869295475476,38.85446232695672,40.25407065614236,39.053365239662625,35.4900754825798,34.64322742648645,34.925427786177636,31.753549641569922,29.730703139919406,29.602231039013446,31.947068846688186,36.60553426782687,39.08332869735192,41.794938485159946,45.21407834945802,49.49708381845958,48.41206989750898,43.79815760703196,47.251811158544925,50.12686770369331,46.14050972571715,44.804578974391646,49.25294582016122,49.563662842903845,45.841961416092836,48.4924537421586,51.37461156230477,49.22983052193717,47.37007112058765,49.686290241190335,46.32048829997876,47.285623483314716,45.47849932397884,45.764069995440614,45.05513567417561,40.89697136213351,40.75568794994753,40.216761905001746,38.40892868888131,35.258726292458306,36.91176756416643,35.48514920322443,31.91998865250975,30.94470884377025,32.32799402761302,30.686741156007862,28.211708014490522,27.735818144553054,25.85462585054634,25.77568751040259,30.469064014649767,30.443555328713646,32.313524533746374,34.68591550579732,31.50040732575249,28.87863660167975,25.850042883824617,25.557706635940328,28.29833794513965,30.49407729824836,31.76782948088245,32.457178560425476,36.536963754260725,40.02860506422489,42.219746702918485,44.79492766340927,39.849935876331095,41.25947371665445,45.12467174552739,42.09124649947855,39.57860899986157,43.79999896256073,47.350735177318086,47.279604646188474,49.993577222142754,52.346742863200156],[43.20333763312034,40.776381514212154,39.10018394742074,36.571383531666115,35.99016467575046,41.28041852985998,41.42625247097823,45.74575670076471,46.62509789852674,45.48311359766659,48.925044717615926,52.08180060870245,48.14899886759997,46.84937020174564,51.347329967641095,51.436758945349354,47.07892207527198,49.428770008352515,47.64802381955996,49.04514076449035,49.74828831499519,50.75852068528969,50.088180291239595,46.6911453018619,45.76868949875536,44.63911359754095,44.01799419782153,43.91315749991145,47.86966330316728,50.162039193638215,55.171667235451665,55.31795685044268,59.794791957570254,61.323381086625496,57.533802512886844,53.88349294680216,53.197489704493435,49.42092482828905,46.420957586688,48.3253231640565,44.088263053195334,47.71737472264546,50.646988144372884,47.940779231744514,46.6096214421106,43.24808292084446,46.07132736358232,48.495661492193285,44.53787896010848,45.19559651224968,49.82644101982747,50.92937681694598,54.75274469960962,52.06296183741493,56.95253463549388,58.288200720737265,55.139955003086165,57.224733505584645,61.198270048221396,59.17841625152114,57.22945398811654,60.57357240084954,60.970656290163376,60.427798501939854,56.68185688714976,55.27019396440446,53.65842788865753,53.6775810651329,51.2224666898893,52.422063446457265,50.71942496388256,53.22674161111685,55.6931605623342,56.16622506146531,57.16660718684112,62.44657352086642,59.36690138771811,63.50685656859215,60.88829764861269,59.36815909608522,58.13668332283248,54.9043148203496,54.97069918260185,51.82478524185538,48.4151881874524,50.87155393675728,52.49071818429926,56.322872275122485,55.745392229501824,61.480662947579404,59.88952345833588,63.550827739464836,61.882578758946366,61.45336107705714,57.479508492390195,59.48767090692874,55.70789833648217,57.71420054030715,55.91282460217857,58.62634119608461,56.656948937760575,55.29943545215385,53.95101388989456,51.501639247395964,49.66962227535939,46.395437982628806,47.297887477584645,43.4967395132879,41.801049244978266,45.08142162480809,42.725717189438264,41.586706002797946,42.05325187487834,39.35909852053862,41.66950849420087,38.55774329430032,40.914823019421085,37.79263458447131,42.34882421354939,44.91728526571016,42.823618389464976,42.468969223414966,37.78191057822362,37.898847227516775,38.71029966602653,35.84811741781303,38.12483318260548,37.6339611008111,38.166155178057835,40.62298785578457,35.76877402986733,38.71623809418539,37.05550308059416,41.64438709372353,36.30906831983595,36.182907865964495,31.35271810492455,31.65790366826828,31.159650496929782,34.29733459785221,32.12870840285548,34.35515620052125,38.111383099813075,37.827305803323966,40.607976015578245,43.55351697865393,41.27945402004211,43.926299419875065,44.31611297745312,45.46149945897007,47.271084797033254,50.432819490195286,54.14238032098103,56.83638869412638,57.11381551209108,55.48200952067968,52.236459189123686,50.87664625043393,49.98754423793758,46.625492190147455,42.402779801355166,45.030642905401926,39.34795346426046,42.889663986007186,38.80129585803781,33.31041176094504,33.624186641690756,30.496970394260536,28.707268177462836,28.974351846702298,31.749711646626736,34.024882234785146,38.71382457941589,42.44899116502184,45.95409975004228,49.17801927138233,50.286498909709714,54.1686205381951,50.47850611349111,50.601355375857544,45.921472032280256,44.63364704432953,43.75821231263564,42.69681872446566,40.53107769970882,43.130420897952675,43.64881172432581,43.87532969051173,39.32875649653797,39.53818023216349,37.20453554603105,37.91750967092295,35.84403806327115,34.929372684185346,35.04392130723336,33.89106172086727,31.727652390640298,34.90748370051635,34.64829333988859,38.21710807574219,40.05837362067654,43.3353676617577,40.89805553939771,38.690489133789086,42.82260009024635,43.64166875026632,38.54643450156822,41.36087674373823,46.85294852369063,44.38334435946411,43.05655431102603,46.492532735102756,48.20956359708273,44.66591211426363,45.56785859347325,42.22560779268439,46.6414041959354,39.25810227840927,41.07415547345873,44.88182915405303,45.19044447475271,48.69724061653189,47.61160553935342,49.77936827078578,47.50057535663384,49.244685525307574,48.11183420302065,47.96803379707047,45.90305681932743,42.284384319404516,43.328761244501045,41.86715969627201,38.6413581567028,37.77992424278995,37.58115708451551,34.528815529843165,32.99082384823961,32.496164585082965,35.41253397417983,39.689840146789926,42.12182359528593,45.17098191993891,48.452745665121476,52.8568546355338,51.75306394039423,47.26387554093368,50.942044915807934,53.814431258035334,49.910354606865276,48.76794353854212,53.300252118236294,53.698667018976835,50.08987041827319,52.70663252648537,55.66915718654002,53.66167521744484,51.81194477901724,54.04522175400167,50.629288626947556,51.38465614235566,49.42350163271033,49.54725533983502,49.092233124882945,45.05170387560808,44.58136903303912,44.106068571858366,42.51613817026788,39.20703576104207,40.54956136947919,39.39225063750007,36.06203022646547,34.70228436065684,35.89314970021509,34.60009278747207,32.35649438025802,32.183741185462914,30.2490846648001,30.441436508729385,35.0970415649706,35.21085260002506,36.938239715432346,39.33255377891794,36.26321195443423,33.5575644409835,30.523445605109956,30.00577332917232,32.52737967525063,34.61468242890881,35.551074007865886,36.21383935807012,40.69846358612262,44.06749206804297,46.41677264051681,48.91638932811691,44.00902094569694,45.673146051485176,49.46800823877083,46.231792444110035,43.992037924278534,48.318643985871795,51.75016975201999,51.53893205820144,54.162670006145426,56.5212140260618],[42.111710440485425,39.96990463782003,38.93258637865271,36.33666377936255,36.60461464169449,41.6998192644593,42.3188266567007,46.77890072898091,47.54611814484054,46.78956993333359,50.23826861319793,53.428175730565655,49.91803581343827,48.42662894694893,53.15575874686957,53.47831656457084,49.29405480474169,51.92789130530707,50.41900170550594,52.089897374849514,52.98883158143627,54.30908026353051,53.67486948556151,50.366538621501746,49.36057656384833,47.87567937209037,47.19335644346508,46.712002182367016,50.522219601934175,52.60716941892903,57.509454905721135,57.60349241053692,62.043091359463574,63.871524297441276,60.20045617519037,56.66542205885939,55.92627175018126,52.509305333039975,49.67940715321329,51.992430348955665,47.76304226726841,51.22380899009984,54.39233632648153,51.80086129469829,50.65760256609283,47.37717909164874,50.354704601232434,52.62189862901934,48.531400696201125,49.48821117024557,54.083716631673205,54.99911202708197,58.827221426294635,55.92411466890185,60.81750656849373,62.3144610556563,59.104211437413625,60.97087935128887,65.05414105693632,63.19713231461832,61.02740486201157,64.17976932229006,64.34244628680493,63.921540311914086,60.271220187282296,58.658975596642996,56.76668090026342,56.51675657883956,53.83347128607143,54.70289771646577,52.933861048656205,55.34434337002202,57.98114075233391,58.80705367007192,59.79532448918646,65.30609060551978,62.44059554514758,66.53608557613575,64.06532457677554,62.775028899769666,61.43029958494901,58.384106219886455,58.163142209191776,55.25935952150217,51.84015556005603,54.04045429669575,55.77961691985345,59.36671324479491,58.81214030396124,64.36699900991532,62.62170455343422,66.20417188764736,64.29143359389752,63.683772406384236,59.5330987130035,61.30427322620635,57.36688272505789,59.568649051337,57.604454446783,60.10903957444261,58.66635852455724,57.16781519231738,56.27724260902907,53.63124490139522,52.204645619061154,48.59059803719507,49.450627770960764,45.66076888313092,43.545045903578405,46.83587780461185,44.160167493524334,43.43308237580906,43.59489131326803,41.249187871771596,43.577062631134204,40.64975495337491,43.29753159304702,40.39718582454194,45.06315272684797,47.34389975903426,44.979936817106065,44.35940835456287,39.61537441981658,39.54489640268334,40.047753667218394,37.51909152295703,39.319500092541944,39.34134110511297,39.97221634532236,42.89394328640127,37.91231547551275,41.01258138695192,39.81655535790724,44.39055085059762,39.05742928872868,38.704264597977684,33.63200369009901,34.06870524921126,33.51282024996932,36.952986708638235,35.03584735459697,37.73551019834651,41.25027275845672,40.75129198345484,43.73784512679995,46.338346062541696,43.85102858591597,46.20663129751723,46.42795122990729,47.132153031733466,48.771929707606006,51.6332990352563,55.39068251568662,57.6378909686141,58.224570435729945,56.9461260478159,53.88134668623548,52.629893702380954,52.058597338485356,48.79487640791225,44.94430035223332,47.83143109999039,42.32546193585737,46.14423453576332,42.21842711483089,36.80265570576035,37.15380561347589,34.3178824266082,32.15123525143567,32.181740498919986,34.816115325830225,36.98445118753341,41.792068431564694,45.491880705607514,48.91327429437448,51.93881169242486,52.915550349536,56.97914854295668,53.56901133151922,53.65087254728987,49.212656732585074,47.42355127566429,46.90641672615564,46.111665434203225,43.93988749677596,46.85252793858478,47.3481376284647,47.93475382743664,43.495796685934124,43.685387774242855,41.38050337284184,41.77590952317051,39.53161503087859,38.27944098922442,38.14882700001939,36.67586263739517,34.180525444970705,37.0233807053603,36.1753174443882,39.73129664286455,41.24805728466776,44.484573265810575,41.949448356361174,39.33988822540686,43.37896533940607,44.0800482071377,38.61068586955285,41.29511963305927,46.90407668298087,44.151486970759976,42.48742350616743,45.856113453446454,47.66164502227926,43.744405307994334,44.389774991478106,41.148436855577195,45.53668868906799,38.08887734312372,40.398809414212685,44.16091579220065,44.69072969673812,47.90297007157371,47.2270983371019,49.856808051995195,47.938191752044,50.052619768765624,49.24705723727396,49.29307524084425,46.80777598229864,43.24875137629702,44.781038816417265,43.2557578261708,39.704141341169006,39.17712735378823,39.46721940848432,35.916361140464396,34.036649799017695,34.39360789272904,36.67691065663046,41.56488316791204,43.90634479849719,46.5366818819709,50.085526050430154,54.276934034964064,53.37624798033671,48.71615837317856,51.96400630253134,54.9613598453171,51.02713698320943,49.48478622947474,53.86231693822569,54.18349210817235,50.350095470476965,52.85645295063317,55.71675246748285,53.515053667867264,51.48596441427394,53.74244337150396,50.380554227008645,51.476864818363545,49.90153568078725,50.03234971388917,49.059313984683165,45.11193283642195,45.0768252535263,44.19094680289821,42.35477626416616,39.52848420501139,40.86488970022775,39.072058646124916,35.84988763781517,35.087703974686285,35.92646063018406,34.02872060911224,31.848312659469233,31.585205386147727,29.077814451885015,29.05628472195086,33.62758985096727,33.949386729783015,36.257627608576904,38.76409191547865,35.27536264274987,32.873252122739025,29.771758368014044,29.903156142984194,32.83748494752798,35.296498223570204,36.76478726845499,37.508421619845784,41.292336439772406,44.85092044102016,46.882990429539795,49.51138318847835,44.517356484239926,45.644000328187495,49.54734044592928,46.65564800712044,43.82790390530419,47.88847022620346,51.53661451448661,51.6521346287644,54.47033432228055,56.79839446944827],[42.37902149731699,40.338775012044835,39.54214434459824,36.332964157246636,37.092651847517494,41.73840666658138,42.29804281868213,46.87074104335204,47.14751243983349,46.23254913839676,49.510249340172194,52.95649442612404,49.54613177090512,47.5992273074732,52.36623659965739,52.97473201793477,48.765123071878385,51.28526722792871,49.58985083155827,51.65617469807141,52.39052061289988,54.01118120062543,53.120299326320975,49.80169929222104,49.04683546496548,47.32611510030514,46.97173783275541,46.39481858307025,50.2382846336277,52.481758522176726,56.929635329860545,57.455162122248616,61.77605315896142,63.57715521820252,60.10429149328417,56.47694141574591,56.099853147137814,52.63675853755798,49.97515564267673,52.72308174236136,48.17833957423244,51.235954786174,54.588573641820204,52.2323370849507,51.031369646276005,47.957739862501185,51.06697310591895,53.31531279209256,49.382694483397145,50.7346367309601,55.29920798698513,56.249000524204085,59.95072760495275,56.8310771372242,61.77998932514927,63.129544071275106,59.65301161351763,61.41998552843185,65.55658708512406,63.6038612314661,61.11586549074913,64.02820245522382,64.06094848159022,63.413551533636706,59.94677147464426,58.387238971416544,56.01019405032435,55.79521200000562,52.73733949240228,53.5701218187975,51.57199228431519,53.70968671603225,56.64374778426035,57.57838872897288,58.89695212588752,64.48835382659897,61.971067509816585,66.16836556382152,63.962276954012246,62.905449770664475,61.83913490950212,59.05501143817764,58.99769406249555,56.36939310183849,52.74644019465045,54.652017170965834,56.07461564095576,59.68069567113143,58.70987940427273,64.20264151376175,62.135161616439824,65.46977918258729,63.51763452409678,63.01889599400011,58.85316130910123,60.397440278486464,56.45063842139053,59.110808703361855,57.30275914377575,60.05871036713389,58.79396018731813,57.71199558377229,56.859527916508824,54.569919910917534,53.58726580364148,49.9127304187429,51.17901751990537,47.57536515146718,45.2515399943186,48.24781442561685,45.2335317566034,44.25888623768669,43.92578937955393,41.47838796395095,43.31653068799786,40.293757627457985,42.79469907857619,39.74115499268866,44.133232340258886,46.51002721436934,43.93235508790823,43.437492187704656,38.72000152387903,38.94323955232601,39.67745910895077,37.70862552108623,39.91147605906809,40.216849204230115,41.27481418526797,44.45511812904337,39.77997369752084,43.24801206024674,42.00457612661714,46.3434600912905,40.77505852918348,39.91936618134399,35.05779833903697,34.81324322964121,33.72191949395387,37.26917787635808,34.868485166155814,37.66340599108777,41.06084202186799,40.762362631889104,43.95241867353047,46.42177488219913,43.928660910132265,46.36152269796513,46.85916365567771,47.32910257882051,49.286972299628836,51.788868653417964,55.848187273144376,57.757817937117196,58.182647950970335,57.14941028047702,53.99475393102289,53.130707643427954,52.37399077730929,49.59419065356973,45.72391155282731,48.33478338365025,42.87449177897695,46.89044332923022,43.333982171436546,37.80358752686695,38.74044713756831,36.04467707075197,34.042215521519395,33.52058674966879,36.30531059388408,38.025433672513714,42.99245914779533,46.6407825154036,49.89627864798565,52.969078911385296,53.52104978841649,57.90939275932156,54.577974691504906,54.93598544880098,50.60432697167263,48.84465104370682,48.7792106681439,48.17909378038298,45.73400415788852,48.35950397996008,48.40713794012824,49.3537660677874,44.66857372154777,45.36927504666174,43.38878289893599,43.66352708020042,41.81982357039403,40.60990430928476,40.69431481096039,39.48109693819976,36.644274155476936,39.603459790465955,38.603804914319475,41.803135183397366,43.66704697392581,46.56970593863241,43.72383441555771,41.387616390686276,45.54730525549878,45.77172949338397,40.18332479524605,43.199470518509415,48.73370209226325,45.44846343781541,43.87662530504663,47.39090347920713,48.82742858681211,44.66256904649593,45.59367380456917,42.51111778720286,47.22265252426206,40.07076951756289,42.503490863786936,46.39486015654505,47.397130610538866,50.618141494132146,50.276482202581235,52.90699614861299,51.02807750654942,53.250293411145606,52.255456285551794,52.646631876771735,50.218417005720546,46.29804950147191,47.96467810698895,46.823872633176464,43.099522777427474,42.35397617331984,42.86716897992379,39.56294428611189,37.34691845024264,37.46462794444121,39.43325550830532,44.235792772693394,46.79407800993762,49.26054758408963,52.71360656744206,56.89277244491289,55.70638604724249,51.04841424187479,54.3376943252034,57.09575330015171,52.92945680233417,51.50105759118351,55.779787135177685,55.83957206452988,51.98637843712335,54.79834683230903,57.445663148191606,54.90235624908075,53.166550938628646,55.67678473968212,52.457983757328606,53.827575328449,52.29827387396794,52.77142457637692,51.64495428235164,47.41251713906844,47.76846632202556,47.02607966372717,44.932681743644196,42.16434418149028,44.00595953768965,42.06310084570288,38.46720273657914,38.07666705477561,39.291545571196586,37.1011348509488,34.616919518127574,33.77682965878588,31.535376084998955,30.854103073164847,35.50176220471605,35.26460095458806,37.792819701694576,39.795785535143416,36.0660575670245,33.95084658369617,31.183731292219747,31.384557056229532,34.739758004884436,36.71961012668258,38.54434405944318,38.767097550256715,42.551061707990335,45.94974894686605,48.01714524614786,50.257223657598885,45.12006468694401,46.27287801779762,49.97661844359227,46.844639965424,43.98330427380054,48.02481421267207,51.510057761983,51.65744835914005,54.51307146995697,56.9131062325357],[39.18145245964469,37.28707337509832,36.80585073763445,33.41886798085165,34.7215553246081,39.08586102751724,39.89123724112469,44.52185168237622,44.64256466342218,43.96738498894561,47.20790036565589,50.66881902869964,47.59163405394724,45.501465885344096,50.40347339998494,51.19199527612081,47.16158198683673,49.90615626216076,48.50719449713898,50.77911982429312,51.73472325144628,53.649085810109796,52.85883844971553,49.6998703897331,48.78850377314275,46.722240435031594,46.26945556498617,45.33328935921643,48.99845126888754,51.04624434515534,55.358289791676775,55.85011795083473,60.106286652100216,62.14282367771375,58.79899447985297,55.296483064992614,54.89507578665366,51.784236260379245,49.312496559160515,52.469332441304665,47.96167030551039,50.81735734823451,54.39400557281698,52.23679834436767,51.31241518419598,48.398095587534065,51.71886655241637,53.66383176019673,49.59750605972462,51.36553843500175,55.80375104026676,56.60066539451751,60.243342783657376,56.82034011516304,61.74184332366019,63.28369705575597,59.71833847674742,61.19361923002278,65.45880449252702,63.727434008464215,60.97466452080222,63.64302723886491,63.414829039121166,62.952780038601716,59.602684452567054,57.805254319612786,55.20321562174797,54.70255103569118,51.50576936423785,52.02011637920245,50.019552009726006,52.110539663943136,55.109655991820745,56.36295379786462,57.598845479392324,63.370000303531086,61.04585006434374,65.16337650284628,63.10741939207528,62.29476314796595,61.13385441148938,58.57212489644476,58.27495441833511,55.93484667553385,52.27956288306345,53.90047687838006,55.3921393810244,58.73983421558811,57.781286148597815,63.068845079386925,60.877014257045744,64.13442451990073,61.97716378499797,61.32094300285367,57.034599865158526,58.38824039103759,54.34171601200394,57.14237278717134,55.24119780100921,57.874090057467015,57.00189670242808,55.90681014595252,55.39060115986472,53.0640455220254,52.51085996967653,48.602181634877724,49.97941891987092,46.49791762479381,43.847952659515784,46.704764573442894,43.409615858630204,42.628196959329856,41.97647049226642,39.778748857788734,41.544144713566666,38.70211286480837,41.40539940372781,38.59609928685981,43.0755885338681,45.128448227800675,42.359859124790674,41.634461886834856,36.93742013384561,37.01026859348861,37.5305781916543,35.910482657474205,37.866179292513614,38.56267882553672,39.80124826404981,43.343374198744385,38.76562057052838,42.457542882183255,41.53372627911951,45.7044194813731,40.11802930337982,38.935215660390426,34.04217925387431,33.700094345256346,32.49698068297603,36.26984395825038,34.117428600126885,37.32647607132004,40.407817635687884,39.898487918865165,43.245508202626375,45.354801733603146,42.70816592043064,44.88304574749882,45.2921316383131,45.40271548578506,47.29851590699271,49.514462399989945,53.64421095441754,55.21336610735567,55.77973036574967,55.01213348172894,51.97880158902822,51.2695294156176,50.70239841550661,48.11997012582416,44.5587430346017,47.30253853050021,42.07805195522008,46.30938951674553,43.02073087771514,37.641291802506544,38.7239802795781,36.420863592168985,34.14208167733085,33.25573314921415,35.89839710434795,37.373321506851994,42.40496176212476,45.960696123176405,49.072558618610046,51.96479502916621,52.31518705170262,56.880317699019116,53.83006336294563,54.218235584425074,50.16784245253506,48.01006864217935,48.39183888922722,48.09887677302509,45.57690397673345,48.38704024739036,48.311501700441355,49.71370758122559,45.17539168597599,45.93791935066371,44.114694737320136,43.98960490642287,42.16023599145661,40.68553995907075,40.676279984360484,39.38381662140192,36.16713475252594,38.91984196623813,37.51729860262707,40.4743321890707,42.33968023567215,45.00862249892093,41.99338669792894,39.63790017936193,43.781238979664565,43.70350246649922,37.97138373597787,41.075099763504014,46.55871399819871,42.93231911873825,41.30491112348541,44.84595318248529,46.11541795860778,41.76164005797399,42.749872583068935,39.796165308173485,44.65238541094226,37.722659520230415,40.31932949212099,44.256506156398956,45.632779207315274,48.82166738281065,48.82341169913907,51.52884560460911,49.80123881717533,52.21847869925767,51.21380925522829,51.94880364259976,49.42143022619144,45.262164572914315,47.22900971062429,46.38934398617015,42.41027569898274,41.64242949693213,42.5623953928674,39.273602255503214,36.6563077948247,36.9942813266975,38.40526455461935,43.40756061926776,46.025212011719546,48.14895974820916,51.6470679123374,55.68520984417143,54.438725541510756,49.73070584661216,52.813247081334794,55.47711550081751,51.20832886194517,49.66909557451456,53.8008651371845,53.69689280134672,49.76798924069716,52.679081180959635,55.159323211897195,52.393083959538856,50.75524550158716,53.40012188767901,50.30067544937976,51.93672035023007,50.58114588404818,51.28228683643578,49.886991384271255,45.523232624996986,46.28401207881978,45.51634731283043,43.17925120613105,40.63239700621532,42.83346979976223,40.616923278424636,36.79893461886829,36.87688708984125,38.288628236396455,35.72112694910281,33.03419907898541,31.767459513164855,29.61984967681499,28.437469726444043,33.074412177340896,32.54196711304222,35.31895214276868,37.08472566119225,33.15373861774727,31.294839851484408,28.70851715130107,29.153782070610568,32.83458988529209,34.7223816237988,36.96384501978171,37.006745007854306,40.39586175184216,43.7721145836052,45.68325079498199,47.82840537728245,42.63360745242283,43.540223926831715,47.19926085187748,44.18452618005461,41.06629126757583,44.95697060439204,48.46201115305537,48.76431747701748,51.69312827883995,54.0973145809501],[40.10597427879436,38.44103085894,38.36060436506023,34.672934657086564,36.560572517389076,40.491866741502044,41.4349915220289,46.10220628897782,45.888481947477736,45.28003919927546,48.3687156239928,51.95066198488425,49.13150940090648,46.728123209088395,51.67129851940519,52.70552992219512,48.77166014041515,51.508629853930586,50.10146161532456,52.664254344238465,53.56620908722222,55.71877591420118,54.79489902694108,51.68281844505464,50.91172346276304,48.641180625368015,48.367636139048244,47.28124167391571,50.87192241611044,52.91865109535653,56.88363835555044,57.6048748647628,61.74235645074537,63.84665647492604,60.68334319864601,57.19639864437401,56.98656570929284,53.99066105300352,51.68364019217075,55.14867788474316,50.52213752734711,53.082649045211475,56.78564188281885,54.809629854541285,53.91237800004722,51.16067959994709,54.54404330496266,56.417295570419974,52.44057995863226,54.45107276647607,58.82591523495004,59.633163851628254,63.18179919343499,59.61297290872331,64.5198993706792,66.01714698125521,62.32425295528265,63.67857750040177,67.96682950111634,66.23703169249217,63.276652500223385,65.73630546166909,65.36917844834318,64.81701541452588,61.624111563892136,59.81535279402366,56.869212239642316,56.3132562011421,52.852116855614824,53.22578163185612,51.082665248265684,52.93893898804557,56.1545788712944,57.583850881102805,59.00777718355223,64.85218301173154,62.82253271265383,66.95585380702731,65.11316244076654,64.50539944772137,63.47516588338921,61.123306725201935,60.842233932975006,58.73017239974005,54.98591457539927,56.373491576219,57.714101426139706,60.973629943191426,59.79589355317775,64.95147539242174,62.53824741852261,65.59604990094901,63.35084600218234,62.70405019195033,58.3839191838378,59.50182454505052,55.42989466092942,58.55228086215011,56.70239849125914,59.38073075486785,58.80751398561888,57.9070250935005,57.57139188100488,55.39358085295608,55.20476386048202,51.198113088913914,52.74700459955202,49.396391702946374,46.546870530350276,49.22648722716933,45.69490759537679,44.93687586014308,43.92299124094219,41.83024987451465,43.29371308238618,40.512527473740654,43.1764993929085,40.40321545151995,44.672106692034234,46.65808936109,43.71203985594834,42.9827794745904,38.37741079328235,38.556501970061895,39.08901765307323,37.9477651848405,39.912853096320255,40.92180696556885,42.38512440965418,46.14785820763071,41.74026710359171,45.58834011236664,44.786964816422795,48.80336182956381,43.18044064147628,41.71759725490584,36.94100763720808,36.31565169763217,34.84856200940926,38.69075278563043,36.39178585389908,39.70305968205746,42.6025954484605,42.15255636290605,45.61577926748893,47.524700886919,44.84834136924987,46.9400258490684,47.43956499236868,47.265846036380694,49.250259055383886,51.12462168558919,55.395515171524885,56.58576008466526,57.172526762525024,56.6845391224997,53.69806569081429,53.25288123281107,52.70092093548488,50.44477346946686,47.037208036502854,49.67874211502551,44.60387703657178,48.9514872546371,45.92869587526476,40.59330460023334,41.936660521893955,39.786823668828035,37.534838526496245,36.381597548504324,39.00613497416635,40.21956073620512,45.281718098771805,48.75710897508692,51.72656862097703,54.55337526799045,54.636156868974005,59.38438585139473,56.48842099618533,56.99930547734738,53.1097806229919,50.84346665678341,51.53371556998912,51.397043811176324,48.775979908253966,51.504307651566926,51.20803504173574,52.84903138494867,48.25535350078934,49.24179796736728,47.578013884973004,47.34389769560047,45.66476818999162,44.15162694427275,44.16957560414686,42.91411579044195,39.52284868833533,42.18767973863537,40.569978872357936,43.317978377339436,45.20989627989992,47.67690723248872,44.52287658588791,42.19878579187162,46.30113593954473,45.949598290755056,40.12457207154406,43.279658172137594,48.68449731484947,44.72654301319451,43.038520200605795,46.56769955087075,47.655762486351726,43.08254869959449,44.09533467220031,41.328705435327954,46.25919088979629,39.57917584305905,42.39019757459903,46.30825016762713,47.97036202072561,51.016479203001936,51.32660774762507,54.17419674399679,52.618615167699176,55.18814766736776,54.22392214157627,55.15415613922673,52.53397167129707,48.2925527101525,50.45259163143936,49.745478480233466,45.63842062908565,44.903175663595356,46.038341166121214,42.72362269624581,39.92400278084613,40.41444501305914,41.50091433386074,46.589613955443525,49.2414042285346,51.141795058620495,54.65213932561354,58.57989817406212,57.28114308072695,52.5618657376061,55.48631815994005,58.05607954226204,53.70562877901626,52.09896334979495,56.079774118632876,55.815425921600124,51.835029826378886,54.82441955502013,57.12894433970574,54.13659427286085,52.60016901236302,55.354288217321624,52.38373094968407,54.267718042990275,53.09430585896491,53.9480284994074,52.302571039983334,47.89556382699545,48.98692881499303,48.14148512247579,45.62764363370089,43.326143440230936,45.706890511817285,43.224394493886294,39.35716663182573,39.80525896038733,41.21632789066084,38.351217278022624,35.62626547986282,34.09767707996527,31.899546170682605,30.338466282886152,34.84855628421357,34.13080765086476,37.204704563630415,38.70590502739395,34.55399680329264,33.03334327169199,30.67663287723804,31.37762098475251,35.32596631519509,37.07669747453776,39.63660330293868,39.449711034914365,42.535673796277365,45.82827632990312,47.60774053958814,49.56523477815388,44.32965286010616,45.020319130991446,48.55458470867733,45.5870032902001,42.260366051257655,45.95841974025502,49.40480469738747,49.862917544490735,52.85087301776458,55.255519118445825],[36.9021253094989,35.32383922061025,35.4231688692471,31.338768985737737,33.666746424346194,37.1110819219547,38.101175947891676,42.77182082030344,42.23952842452576,41.698440051627315,44.65445223167987,48.305707831403346,45.76032903814216,43.126255910046055,48.11190698064437,49.353624641805254,45.586642337092314,48.41940169142191,47.2170825154141,50.022600951091164,51.05910214013032,53.5170129912606,52.63773352759998,49.71193105982078,48.86120074790624,46.25701703179604,45.991791506828626,44.60072561468371,48.00971286195766,49.94086588574184,53.61091144409774,54.447790542201616,58.46132185652401,60.701551222502175,57.7247830701134,54.334654287548474,54.23512224289528,51.52392132664583,49.45586150507489,53.35694771877926,48.721400100102834,50.94810643509168,54.851581064814326,53.1402353194271,52.489084913747504,49.98159659798011,53.55284227818215,55.113398339752806,51.11990967668537,53.60470470197322,57.80341542458602,58.47775485821115,61.89269887802856,58.02773261230327,62.87721644427301,64.47568284300279,60.66068302658328,61.71867934575374,66.09383612957903,64.54766706631064,61.29170978202376,63.453460568466625,62.832585606982384,62.39298519647307,59.37149096001365,57.38484421707319,54.15761815153674,53.375963073929135,49.748239735259695,49.852232505705594,47.676820729942705,49.42370196450309,52.71987364857739,54.41923854198877,55.834940332078055,61.79632674484815,60.026176297605275,64.0896829554781,62.45670145202368,62.12039875211713,61.11436566313986,59.0533815972927,58.65602084049804,56.89685635669345,53.090182970940035,54.12795138190466,55.39303045489968,58.42540147871144,57.12957492767967,62.06077009583577,59.475467500660294,62.383427078374815,59.988811172120215,59.26487176448015,54.89169006043922,55.802692916249946,51.69576073089961,55.0365874002935,53.20640009059878,55.898933798640336,55.62853773472897,54.922416403817536,54.804228271875715,52.80407855505253,53.10030237591881,48.986018529785575,50.80920048142427,47.69326766742563,44.60737920723659,46.98330003934837,43.177360142889604,42.3880883509155,40.958301019726434,39.00728656680853,40.178926365487406,37.54195243670052,40.25087399187289,37.68461325331928,41.865713825261246,43.57853328146989,40.466455742995,39.6112749479858,35.11954812363411,35.29389474385796,35.77343912658802,35.13913989546231,37.13146069244344,38.478215403145555,40.249833262311576,44.275770404369,40.20689145557131,44.31330145759235,43.681537041080524,47.37957809047172,41.734199081083844,39.8388855011624,35.29338693636143,34.278122900782456,32.53764361631001,36.469389362669155,34.254461106427556,37.856918809678405,40.38258592227662,39.83477325129386,43.42314663664116,44.97234686233594,42.226637454306406,44.12909813217007,44.684205015973205,44.187750742106964,46.26888823200087,47.78862398945409,52.20049907724825,53.06007958240881,53.61062600809028,53.37250849159203,50.439818265467046,50.272050006517404,49.748116513574416,47.873455713141865,44.709711759536546,47.277885689141094,42.48645206606764,46.99485611040499,44.380352636879614,39.237510489913845,40.90477179990929,39.17623160739284,36.85230571328742,35.218137472764624,37.72438145771203,38.52317557091452,43.58156092064129,46.90100470409092,49.645416923543436,52.328981308763744,52.085015678510736,57.03733216108331,54.405434526120715,55.05365715039902,51.467548478707705,48.97615705723219,50.18063166343155,50.358088359384936,47.59068384628959,50.28513831118936,49.71672651300634,51.84536480536369,47.36187702579702,48.57146290978348,47.197776526251396,46.590879453726274,45.14198242627543,43.49557488399157,43.56918471329493,42.45602479002643,38.72324253367321,41.28696809009044,39.43131424784354,41.74106712205436,43.87660335611018,45.94442208944874,42.55713092864419,40.52368573606543,44.64546078580408,43.82334705752208,38.029719891299486,41.43912066369658,46.64694630023416,42.262075631389365,40.733263209668166,44.351353571531675,45.04463824119241,40.376111555610784,41.7055868833352,39.13113607786207,44.319371322646326,38.12086466618929,40.87452832034828,44.8736562049381,47.01279942940109,50.139820764660364,50.74777864809036,53.43416214936846,51.90403526172694,54.542468342218726,53.356559107244195,54.7063544066024,52.20012300172766,47.578026417026,49.88370524530331,49.67587440483202,45.41406219589826,44.442234872824855,45.885903799769835,42.910137707078135,39.73786830001105,40.033901136555215,40.637386095368235,45.59885742939861,48.402057882462294,50.02099127149157,53.402251968809026,57.22799376941602,55.68133585548908,51.01763296581729,53.88902928546714,56.18817366820257,51.677486689108974,50.17986466561387,53.99672544558986,53.483480313512196,49.5448796120849,52.79606740333422,54.863016889518754,51.59657266907618,50.387118474498976,53.362817107961035,50.577843943257854,52.68759194525577,51.55355710935785,52.77964901199508,51.03580862846309,46.36834324272668,47.84669693295348,47.22608427189162,44.48818957241965,42.25197098720912,45.19058634192994,42.67366802503489,38.42172528897855,39.23753782799529,41.13098725396891,38.08441407633917,35.041687169658104,32.913151862024606,31.245203266798885,29.03886619818858,33.497743626161295,32.1163782513231,35.21065297527855,36.15793286460285,31.944600701022303,30.714012614552722,28.79946385325868,29.49208954617532,33.704675776866225,34.963042749854026,37.84750395528178,37.22704473812061,40.10191893664552,43.1933566113932,44.93125304003035,46.552762192556656,41.28999489606078,41.945516796597346,45.265336279122685,42.20399769716663,38.8614720546601,42.47930547907656,45.75780324526572,46.248200748052476,49.241581791886794,51.67074141385025],[38.52259489332266,37.239943081793214,37.82173311759081,34.094240286629095,36.831969531897684,40.27671825335598,41.65260803351346,46.30236750097249,45.910467385120704,45.72324761142745,48.70732232214407,52.2377387643914,49.96305743330817,47.41099035004306,52.4690974112208,53.73678331459687,50.10584127319589,53.0956983402466,52.06622306013572,54.84348319079276,55.98087078265797,58.43255744681693,57.61491298108389,54.693991783522044,53.783018066208335,51.1739395753104,50.79655660965717,49.31541451156904,52.63590158242065,54.39650280500672,58.152363107309085,58.80069966577039,62.814413170496685,65.21815928310976,62.24349692151803,58.955384635823755,58.692699883945025,56.16470093217534,54.0911512629973,57.93649386758294,53.41946188420164,55.759617754002385,59.65931964546591,57.887836838368194,57.26676158505368,54.6694813154749,58.214296187297926,59.80439150970188,55.715686243969664,58.064161079416735,62.30561032276344,62.93427938207353,66.42491378352283,62.59897800741967,67.44440043783796,69.14313301600615,65.40249761481802,66.45159661289645,70.8454999679246,69.3579033313021,66.15626980972608,68.34376057189868,67.69010581304954,67.34357551580054,64.30384159030395,62.254073671832174,59.072751539102136,58.191890936528,54.58730301781624,54.55430414747259,52.420191609019234,54.156840424562446,57.44870324616107,59.26835180986078,60.598200352553185,66.61040835156501,64.84067648151033,68.8452437375607,67.19225991997585,66.86434853918394,65.71327999511641,63.61254620037024,63.03020090526156,61.23194975839884,57.5181907005402,58.59725723353665,60.03794231055999,62.959016418841664,61.83332140690017,66.69524162529491,64.15263784390406,67.08279483305994,64.59113362767205,63.74017418762969,59.298455732606314,60.131678430718146,55.96298394790835,59.24190345971375,57.262387398456426,59.68584770137731,59.69573332751402,58.71475871282593,58.86398560285021,56.58244691659646,56.88336195550074,52.61709603677594,54.174342986675576,50.96932304639045,47.762217187134894,50.29909493577395,46.497985736273094,46.11768101008834,44.757915728908785,43.09005881435774,44.4799148838466,42.00809811306401,44.884294586341994,42.46795156290258,46.74952148716598,48.314762785728334,45.17365657888661,44.157524012031814,39.68732463725706,39.647134486333115,39.83369464357205,39.15867115605461,40.617499042680116,42.13084461764962,43.708301678050894,47.8372444774014,43.52885694395598,47.481135574088746,47.116790406648015,50.95491137840922,45.450055213042134,43.73631436783487,38.96024315849789,38.38541105378808,36.89748810572626,40.89917601430989,38.97007608569155,42.644013040203355,45.17097923315419,44.485169539539,48.056366899833264,49.52762742431286,46.70437031003863,48.42012354251385,48.75196719931351,48.10018212265861,49.89418880771727,51.3546887537645,55.6142423480908,56.271990967074515,57.13754898818226,57.05507593662533,54.31332655954738,54.0398151207498,53.80895801411428,51.77307276283893,48.83530337701486,51.651096529321855,46.921205230105635,51.436458549204424,48.692234544216454,43.59764110229776,44.97362391717095,43.20286373239987,40.674741174800175,39.28576777979012,41.684674058293254,42.697306430843604,47.728706420930656,51.06337777647988,53.85616530101745,56.416975294803905,56.312318777787894,61.18817622154273,58.65746772271445,59.14684026723013,55.60707389438216,52.87724107256379,53.99068894749643,54.15702125768528,51.541620542695355,54.504435456905,54.15465233452861,56.19174045934499,51.80779016728421,52.765471932865815,51.197445063681236,50.608491962491826,48.86025965259403,47.07337732934727,46.91527136349515,45.483475055216886,41.818248192966955,44.12652630037745,42.02834574879952,44.54048665925064,46.20769974293293,48.43957259337484,45.207532908249526,42.7219012987687,46.638607363926816,46.02004057753966,40.06848042320176,43.10146972872231,48.380336292549266,44.10678275142508,42.22382268930495,45.625725110849594,46.60354007889942,41.77013208992091,42.636071847346216,40.13665745087212,45.01582536007617,38.701731760323796,41.83799649687597,45.64208108847998,47.66647828976379,50.44946806442579,51.22695828272155,54.31936755052492,53.10325047461682,55.949640390823376,55.17163820666109,56.397938483449394,53.54943356231359,49.27917004934762,51.83084895593421,51.287224113928154,46.95626685965611,46.39488821676533,47.97638242597006,44.512582119866906,41.3978613771507,42.408205622393716,42.832056775570166,48.212888259155605,50.7929092124375,52.225497619203814,55.83907668564878,59.49553825730436,58.291788077152106,53.53477912865532,56.03313271069534,58.56416406767918,54.212061816169644,52.339838826648965,56.050341036059805,55.63044732850849,51.546487087029384,54.48037216032042,56.55774391895095,53.339971401334296,51.80360480072221,54.616107370997916,51.8292789206483,54.06530362111052,53.257020012424555,54.253259966586725,52.16446474996941,47.823768233689144,49.41060502214005,48.34340317026397,45.589783962445125,43.781031035809036,46.32816089534885,43.39007445189097,39.5657651916487,40.63641290079262,41.94415395556959,38.606046378780924,35.89505443851146,34.07763154223407,31.74701816527521,29.74033224410341,33.92370190214153,33.12107647053007,36.621638862677166,37.932414249455555,33.52437530804691,32.492391076142994,30.389806377198187,31.606229322914352,35.819796429890914,37.6324038852168,40.66220544966822,40.41132439026284,42.73891679883441,46.01730517604055,47.452460468432584,49.368307601083025,44.17214337834158,44.331857246459876,47.79894819971555,45.20791124442001,41.417903766865464,44.71193876700526,48.21957165207581,48.998900652078795,52.09335069791238,54.43009048549089],[38.36413857772561,36.882216163878546,37.132342122424696,33.88887328017153,36.0672130398535,40.10137911365996,41.4513915979927,46.08778403084619,46.159587069827126,45.992904039891904,49.19336893522524,52.56386620916795,50.030392838102834,47.865704717427455,52.92316067029,53.90356248207717,50.16398117431369,53.20787242433973,52.1988487932247,54.6323976455359,55.83725072335219,57.99233293868557,57.3257522533004,54.31782713184358,53.25316449174631,50.8999745844562,50.298735749106136,48.98904019327569,52.4054139491049,54.14007811611854,58.360221765733726,58.685615015341554,62.863683556771484,65.22774842046005,62.01748846372016,58.71739662605498,58.17853186990025,55.53328014046579,53.23969628324017,56.682685147273006,52.32232675552332,55.06588182226422,58.80770516318458,56.782816896582275,56.10670874087196,53.27400469147328,56.71587948814728,58.43514046465385,54.21941523842225,56.200877329591805,60.54534683309875,61.17679737742128,64.81117425098321,61.19624836543947,66.06310037789515,67.82877554440887,64.26620665675446,65.4907131708254,69.85342871633588,68.3524331162624,65.43473158561689,67.90565680782048,67.4341456968324,67.19132943423432,63.94283099994908,61.911447592061755,59.147091830169906,58.33211365309784,55.028878076730265,55.15411885155841,53.17721219453217,55.19135446558278,58.25294582769234,59.877680650773094,60.98959181272383,66.93762607842034,64.80028907168436,68.79291989265785,66.86441499183259,66.27242111903807,64.92979871596125,62.5388474526545,61.89838307961559,59.7847836375562,56.19893317223001,57.59731055179396,59.27099864363192,62.29456464863453,61.4738991773183,66.50710116070849,64.23983525412731,67.42771156865759,65.02076578021422,64.1323967363065,59.69938130039328,60.80699023480452,56.63536201533132,59.52116835668939,57.428246692041405,59.72741686253997,59.443587458012736,58.124891048309685,58.12857566779794,55.55564645796556,55.387269888130795,51.178688316907575,52.41928793526739,48.995067702245315,45.98353542758378,48.827189468812485,45.31132905572395,45.049715175011144,44.16088617849073,42.44080819800744,44.27786262920943,41.752908663751015,44.734681946648934,42.280680227108945,46.850251683169994,48.49594048479418,45.541007539892526,44.49613814177028,39.879592903798,39.66404283402648,39.75801785066896,38.474482289790394,39.75153282418001,40.94419165080902,42.17506422541909,46.08320319462482,41.44275331117122,45.145996973343145,44.7303044544531,48.8354569005102,43.413537293468515,42.115086407736925,37.081960511396915,37.01117528552813,35.9121599816084,39.87941343484542,38.1753381996669,41.74380841820038,44.52109495915265,43.74044277651523,47.180618553598215,48.897843584297604,46.079040159938714,47.86035689284286,48.01523251212203,47.66744602176017,49.265369403404094,51.14855655946303,55.20018661495271,56.27744083903453,57.22937192819003,56.840071280923006,54.0860825811462,53.44244411517557,53.284649209295516,50.77304562467711,47.697918736183986,50.72704715200385,45.80274457685697,50.186094660523324,47.05348692693485,41.898746802189486,42.85787105810543,40.86360715468359,38.23728014568392,37.27008262640702,39.664685836582024,41.08181185171557,46.084464252577284,49.53901871866186,52.53949040398247,55.15630047501933,55.43764178298177,60.07103253769245,57.36085369998863,57.64404976651107,53.89769100395497,51.22720611694389,51.904993608547514,51.856508284453405,49.42132150900654,52.57473103197792,52.572343823142305,54.25693922687302,49.949423115753035,50.55519069117475,48.71259074154305,48.29309841976709,46.245152365841854,44.459942635955564,44.175548697682515,42.55783000662514,39.14087830175027,41.45751694305416,39.51862318438607,42.40589287903843,43.83752046823996,46.42272101988775,43.42187466141734,40.67633761448691,44.57973531356308,44.414401328354124,38.46825666608729,41.28372236012925,46.74214911628082,42.93163908802813,40.95224140845984,44.3000648614157,45.66247197753807,41.011441008597096,41.63782800114716,38.88995770268238,43.56371990788217,36.776762105502584,39.847517359254596,43.61440937916463,45.197875493693424,48.00684193683394,48.45681399112593,51.586994340668994,50.28558796903661,53.04011609204273,52.406996040265604,53.30694517400259,50.40030432352727,46.40608285939751,48.828753588939335,47.929996656204864,43.71935595125637,43.32279377470583,44.6908836477257,40.99736864477856,38.14352544049785,39.31826291562525,40.08090342728769,45.56932246455795,48.00971287429155,49.661498331525976,53.37890663577821,57.120721202659496,56.13668134537798,51.33572765307492,53.88810428170042,56.66093432213516,52.46825216886282,50.51148316927265,54.39508764150043,54.23026266944926,50.12864390896623,52.82928605048205,55.160407710879895,52.25245828684262,50.42068466521986,53.023915015942656,50.042968986421286,52.01346670955203,51.109929619419056,51.79171338874795,49.86313095274569,45.715628583735445,46.91700457307348,45.723531410931635,43.18447164566161,41.24429848077041,43.36349002770346,40.542656727066756,36.9782864704628,37.692082574329554,38.69530395897886,35.570165507377915,33.064930061513024,31.739992449946026,29.081351443811844,27.65917515075697,31.959640871674896,31.697168577894708,35.04334035021951,36.89234889701706,32.63257547009542,31.22132935410291,28.687820383604393,29.833900777215643,33.756060113217,36.01764874215518,38.73028140702656,38.924638654375634,41.438772282791575,44.925872494156565,46.41869568526727,48.71238229958686,43.55495589191912,43.80051409590018,47.518991659541754,45.02461281297983,41.30112339295266,44.752585239911234,48.45254426020634,49.1445258879276,52.2173257924201,54.53148922592371],[32.720517741315994,31.065403699201937,31.11805079575878,27.694747055557198,29.85378830528089,33.82729037052809,35.154157631712984,39.79261332278675,39.880155731648756,39.78568866829428,43.02354795079387,46.33000250474989,43.878946433628045,41.80136571647216,46.896294282482,47.858993305285914,44.23729302941789,47.45660012524624,46.76210005153543,49.17127702647663,50.637730372449695,52.92134308159293,52.4797153590534,49.66647205423843,48.32318832689323,45.757666940027576,44.933306674830966,43.36885613189539,46.621314452592934,48.174677806262864,52.445057635326215,52.618355786173765,56.78587642587976,59.27854019475854,56.09578685961395,52.915898530480476,52.26997244882735,49.89606814031932,47.72921884653639,51.40960883295882,47.18931122007916,49.83939376039139,53.707510964652435,51.816924006287145,51.45155358194434,48.75499478984152,52.369861036674955,53.74629348919122,49.39296636471738,51.73146752520665,55.91169171831765,56.3519924933051,59.91925274657943,56.07237158224499,60.879922864657864,62.845284388245574,59.27624518232012,60.24334896972922,64.69416627526908,63.44510477894929,60.38109341717035,62.701568939485895,62.05113988085477,62.076878421149154,58.86661615352963,56.60145497013104,53.8727545677605,52.80678570838522,49.60198360651819,49.51635626315561,47.67755772854011,49.83437591811836,52.73670404910835,54.52470508927321,55.38721731605943,61.41275986724775,59.27074250166085,63.147600064910996,61.24317282050747,60.77533424016278,59.290314722267915,57.0377992612987,56.19620248896887,54.293198206780716,50.72481350859311,51.92549501066662,53.70462869734808,56.51461848602117,55.8165716659608,60.70366870593797,58.47235270023747,61.70606952565918,59.19031914859275,58.16972707434951,53.687954124732386,54.79921886786624,50.59530139241242,53.3732063108566,51.21221201450729,53.44506635011136,53.24346474269554,51.90859488222419,52.02952332814922,49.46892698273722,49.53896480793436,45.25236561659618,46.643864048999056,43.361604445066625,40.20756796505005,42.88168358457435,39.23158684836483,38.96319351279704,37.94369155975775,36.3326598008187,38.201412024653465,35.8202380298665,38.96593128031043,36.78343818080897,41.517696101563615,42.84891370582163,39.87821453295812,38.629276335964136,34.03625524352272,33.621705723448315,33.557339560763474,32.35182099850974,33.55782789400524,34.88984837614801,36.265986345091534,40.339449071909875,35.90500172729919,39.80629952242134,39.53120628887274,43.40491292787945,37.98332371803471,36.41977280947029,31.489636061771968,31.29212776672548,30.174156385273726,34.22604783110538,32.88090973558467,36.76035062629715,39.241346642650186,38.221483547711074,41.70341667420119,43.1542952474733,40.24871350397156,41.84177326836095,41.92204022338841,41.44645876765962,43.0314602109816,44.855477006556605,48.931816633769195,50.00894706398083,50.93245591976528,50.55471529462508,47.82930380933552,47.221726964870804,47.12922440174886,44.70854066571751,41.81004063411071,44.91755483374728,40.20093521770221,44.68689416532196,41.7813481898514,36.8417589863534,37.90897390704517,36.33283711640551,33.52735626627342,32.212316223284,34.443786668888315,35.622522213829015,40.60219407475642,43.949458561495234,46.822708541038985,49.30943804169188,49.48092171330096,54.18161758082301,51.65983218505921,51.96665427203242,48.44969821796373,45.542839230256504,46.57285924648628,46.786853237350115,44.272115059419356,47.521521770534115,47.42847038450214,49.50422718137967,45.423610550589075,46.051106626961904,44.41050788031112,43.58870278653873,41.65031809875458,39.68932153759891,39.4208265880048,37.91519092286631,34.178363239686675,36.42930108602449,34.33563902989054,36.89108349870725,38.60545128297889,40.90235454965767,37.71392834654867,35.25766968396393,39.272938643771646,38.7813544571298,32.88168819679719,36.01114423276346,41.36827820977863,37.31512457676393,35.57267491443491,39.09624949095093,40.16855011343549,35.57657667163403,36.59245362392894,33.84084418107581,38.84713136507548,32.32823366137151,35.1306022059701,39.08374978656037,41.0278657696715,44.13420435454215,44.66240918365354,47.44178103496058,45.98097492766121,48.69356493697857,47.717807013989514,48.993177870745136,46.31400444478274,41.85555411739122,44.309019383880596,43.949346314741206,39.61802660476223,38.86895973864539,40.472714941611756,37.23304230128898,34.006301369730025,34.80449399322718,35.21026222714648,40.52017471629295,43.13842771497541,44.64009959698253,48.21113170114723,51.945434841353666,50.70175387263505,45.9444256088668,48.595579567245274,51.14156896957419,46.797727123444815,45.02093548704442,48.8821949977276,48.568637691333585,44.533064775172605,47.50908026205549,49.742095935474914,46.701884956323276,45.15919055100481,47.958234373563855,45.05262187780787,47.07508051715233,46.02564677697786,47.04540206690148,45.23216761289453,40.738834768205734,42.12744337424692,41.30628766084259,38.619091059579226,36.48819624975732,39.21271214290714,36.58863366395913,32.48892673976517,33.344278396777035,35.04150548984034,31.92943021504164,28.96732296134381,27.04211694855305,25.13680579531657,23.15616093715914,27.65518357660255,26.670427903020926,29.796259791547627,31.257487040164616,27.063074406483306,25.61608324859151,23.339171836694813,24.25854023881592,28.36122662600712,30.195129205888666,33.06437421909103,32.971091878399235,35.50447856335529,38.88141777352477,40.45508641557566,42.577310320458054,37.384605795771044,37.78746887966465,41.43220110101513,38.78635713680593,35.19142071409371,38.786366158644434,42.40263619247513,42.98393014932026,46.03501960455673,48.39452072736446],[33.002784018263625,31.713292187569923,32.37270001232121,28.70246558537954,31.66176333015855,35.0228712528523,36.60660638522162,41.2278145994368,40.9607311508849,41.069834185410286,44.11968501979388,47.491741488967655,45.45896267768436,43.079994954247546,48.21843723042353,49.45937940844423,46.039519676841536,49.31564267020442,48.73865531470781,51.44011050571282,52.928766416957316,55.48690869606762,54.9700399055445,52.260507743693736,50.99536697459679,48.17808632574849,47.474862597686844,45.678023423442625,48.76538921305493,50.218766709621384,54.11175317007311,54.45024030612149,58.460068927699375,61.09798665963737,58.13768960350444,55.04802072858755,54.54705959280414,52.424713945761305,50.47445198336334,54.497410695223024,50.22878840081709,52.56485254495676,56.576771355745606,54.90185492014897,54.63491992077333,52.11860658223206,55.819336909034774,57.059361589486564,52.76152071565694,55.37704346342218,59.459304837134106,59.85487106817582,63.32036698518311,59.29297516194086,64.05755700616567,66.04134832044068,62.36104409283734,63.136887848954956,67.62909431405849,66.45681241928446,63.15865254270743,65.22078007703074,64.37007312340015,64.38748186447785,61.361854535525204,59.02057205069264,55.95126370726729,54.741257051065965,51.28887817243932,50.95498888945098,49.01133222739439,50.92895446986828,54.02045286842436,56.07488203677509,57.053911521857806,63.174247852735604,61.36007590775587,65.19592066654872,63.53075754230219,63.31837713665322,61.90843175701237,59.91318262231055,58.9962315948868,57.38168336782152,53.76767315720274,54.679305746258564,56.354923569277425,58.976899401821335,58.118182075028066,62.785743582015556,60.3399484035368,63.359568846972905,60.697947843886396,59.619201924407655,55.085447856275806,55.90153413144397,51.6593254715161,54.7456246699692,52.593660609516114,54.768167171658284,55.014411252144136,53.82471977291253,54.25346870845756,51.801610650130115,52.33047128451507,47.9122762159923,49.44362321783381,46.34157116796127,42.94049355899651,45.3932833203528,41.48821375585476,41.35894273031045,39.92534030561418,38.55487844466892,40.12068777050007,37.91133331043118,41.05936158351478,39.028515681743585,43.560435468020955,44.69596197544104,41.53486489762775,40.19881586923032,35.7690628941226,35.38078265419742,35.21575299131844,34.59503453855739,35.63744497447416,37.384167358889336,38.973874548710754,43.299783243062095,39.0861662875038,43.106924415209804,43.05331849234161,46.71722004598831,41.343762957627284,39.49125287417553,34.72332377697502,34.294953878200175,32.95780330154921,37.06321207544795,35.70363447147377,39.72585563278719,41.93831094440795,40.91174026262037,44.49443329538736,45.64130759471051,42.689253820946675,44.08531632065977,44.1907262664021,43.32343004682604,44.91135625297199,46.28878147859194,50.45819533552745,51.021022668817565,52.054175920358546,52.05509537396412,49.46636626817019,49.144989352317104,49.16889346246523,47.112610545131126,44.508051242662766,47.557116723567724,43.100125198119734,47.698013774375,45.108671859916626,40.30129812376883,41.58475924601876,40.22924012831629,37.409960413131564,35.83587680743586,37.97922334139087,38.875486334417324,43.828858610233326,47.045009081348184,49.729568984692094,52.06795659481065,51.95653183555303,56.82498886299996,54.5535838043316,54.95545190586452,51.69113478023751,48.582441734862954,49.98260179388679,50.40542081879612,47.82590675575664,51.04942227735884,50.76021330838499,53.12613915634613,49.06787140536292,49.86905934962129,48.38537196425916,47.39701237304885,45.5750460296056,43.53161935632981,43.24445869244934,41.73726909328259,37.83055430114408,39.89087466428101,37.51127541760609,39.78782730167502,41.43775330594035,43.46429199659683,40.16559151644493,37.717744272798825,41.59038901287699,40.776048831286026,34.82492819886775,37.92193526090519,43.11028250939216,38.69170101498027,36.848870661094274,40.285754991356306,41.143123986255425,36.29958279168527,37.28442154239552,34.82587880312098,39.839816053466805,33.7457500452435,36.81348852624555,40.67000412127731,42.96968320392585,45.8425440421063,46.78241183534745,49.73831288505579,48.541056759497756,51.44677043438574,50.569465666354716,52.08797882420582,49.281804407281875,44.78476726561477,47.492988626428584,47.290791609032446,42.83060806222693,42.16800773475593,44.0542318978189,40.78091008741487,37.36131453420273,38.4220670777296,38.37307786837331,43.77832185087592,46.3794394605828,47.54365616917946,51.126615917443104,54.660924995027926,53.40750166840111,48.66448452691444,51.02871888459236,53.4631846275798,49.07893880844525,47.17367919119847,50.78773126796405,50.28440804156562,46.199440694445045,49.2067813067438,51.195186910562136,47.89762286529908,46.45906294347405,49.35800809888246,46.64779869062637,48.98766051944162,48.22026352279672,49.410546181084605,47.25556254612893,42.78313071391423,44.6034125737654,43.65450129508277,40.76514290198012,39.02726566131151,41.92417140157409,38.962421337849435,34.88841004933915,36.24155722141991,37.87742763055658,34.41296791560164,31.47352789876014,29.265349183564304,27.314703810109375,24.887037650698066,29.054733906634535,27.875913902241585,31.370743578250867,32.494684416291136,28.067204962117124,27.143755452694474,25.228757451649116,26.53335294768548,30.866710471873862,32.559441401058784,35.80612645047997,35.49226286375718,37.484687644420696,40.7447041075815,42.07415915812817,43.99638973408341,38.8252379291877,38.85045731269074,42.33000321620374,39.87536032694527,35.96119475390281,39.21097930390951,42.7744201102061,43.603998063210355,46.727331616180344,49.053484742990705],[34.846478144681626,33.7496323633304,34.671096775130195,31.697303694478396,34.6482417483082,38.31762752307668,40.21099499341897,44.76326166749924,44.889256960050616,45.30639423162035,48.48053629802974,51.64217254430006,49.70007965429761,47.61555701022086,52.78718042022762,53.88413993643034,50.52245338047264,53.93516261589314,53.48963779457127,55.97643734330582,57.56578908208392,59.94736744450424,59.54947520202141,56.78606526488272,55.40801032032017,52.74208463809213,51.843196626504344,50.08865934380516,53.15767700784634,54.459876830095546,58.66863808915902,58.67251885476315,62.76220134575039,65.50635030847877,62.42222730255049,59.41477034749209,58.62825007848288,56.58914114472526,54.5106821932679,58.24422997921968,54.16341609986863,56.814510283069914,60.72481756663142,58.85773659817294,58.57117157522978,55.84843480269109,59.46202020344216,60.8103190153083,56.3750995764898,58.65748099336939,62.83196955065519,63.1929157154034,66.79819099336109,62.93473786786445,67.7029519550286,69.80136112535827,66.28569063535303,67.15851977206785,71.6413780388646,70.5045797517509,67.41411238581348,69.65826078793356,68.88961987120933,69.0286831724375,65.8737301047341,63.504794612138156,60.702765824943,59.46449698739659,56.196200568421084,55.85354026676355,54.02457764913765,56.069776858352704,59.038132982973146,61.070221565026095,61.87314700396052,67.98716132164182,65.97297435880579,69.75186061832278,67.91874964924673,67.56267663459475,65.93085698515465,63.73958887365245,62.638236983749394,60.81099357201949,57.35897954892993,58.48876995383418,60.43437248692884,63.02106838210099,62.473444124091856,67.1737165131561,64.92129135874777,68.09488968055696,65.40842730468724,64.21041705405246,59.639011162781976,60.54161575385368,56.26109067038538,59.06655945233284,56.73333985722124,58.59385744764729,58.915463976382206,57.29465970999906,57.872635030804155,55.01457829171506,55.27154251929186,50.77268413056824,51.867620501594054,48.5725608088344,45.19665849119758,47.961798622948216,44.25976912110317,44.568056892362016,43.4827807991691,42.32934806910593,44.317246649755894,42.215773850569995,45.52806807989512,43.57981952098804,48.322942250411444,49.407760503148445,46.33679957558517,44.88038080396014,40.40675531330349,39.772429742292864,39.33121522874703,38.33023106246178,38.80231670385108,40.488052864481624,41.685662573500345,45.94080553142196,41.34592837728029,45.048688424611,45.21073932586937,49.135194181856264,43.9670341057199,42.529476641860576,37.44923786846974,37.68970038479248,36.786791353714385,40.897552319655944,39.86523962605885,43.85144095352116,46.21711379744506,45.049336520161226,48.531139041697095,49.76178785642515,46.76567363598349,48.04731795547507,47.865290287386614,47.04824570102327,48.26058839346126,49.82236358579144,53.706295073619955,54.326252202748016,55.690643026831054,55.65319751415326,53.23978808054941,52.612984325173336,52.93378169528662,50.472679857807556,47.994791874015,51.35713035036817,46.851924073063785,51.359782787792575,48.445637792348236,43.65437542730861,44.454152609420035,42.93064553947163,39.90678820524736,38.79625476814061,40.84003296184277,42.14734554709075,47.03599458829412,50.32147398079796,53.15784432643737,55.41554283505816,55.64828856309449,60.29281828882464,58.01073309804391,58.15542104694865,54.820895350622976,51.55520875454737,52.613451467428035,52.89848438531575,50.567959620360774,54.116426971556855,54.21015002135049,56.2846847223353,52.35223049385066,52.74639335140819,50.944484760488095,50.0799442503804,47.834975141670256,45.68099198142065,45.11585411527705,43.21823615736625,39.546453056377736,41.353891100278815,38.85418893863627,41.524094810308654,42.566125765473764,44.944463122200474,41.96096426632661,38.93795349283847,42.5622423264675,42.2278408554353,36.1836694484298,38.73390008387121,44.05797683054871,40.06959458659663,37.824824795606666,40.97395339210829,42.350704868263506,37.4977927331335,37.84184195974424,35.33192109301847,39.8484442169948,33.392852910522166,36.80378756314614,40.40315959385615,42.309961524612376,44.81925651210247,45.74988862981661,49.13857945466855,48.22145959956383,51.27472351177346,50.897284932795486,52.10142387278514,48.927276344297255,44.96806038119001,47.836291088536754,47.101380005393345,42.663629403768546,42.513482803083846,44.40973377588734,40.54331697449821,37.34954916829235,39.21035127886392,39.17271648547833,45.00825291494198,47.293526081064826,48.391537031317014,52.242388767151496,55.641875445714966,54.85742492329209,50.02433586690626,52.03891037615732,54.830952978726216,50.719659158296885,48.40765034575572,51.99614593046166,51.73978018892673,47.52580090073805,50.05598789937509,52.19497751852149,49.15225075655199,47.213578878775294,49.803115556339336,46.990438007776596,49.289772306462986,48.80236859168322,49.570826192784395,47.165399812429776,43.169951811301516,44.86431120658135,43.388653288596,40.625244083617616,39.26822987885213,41.49567860876339,38.17696831554348,34.73539938666763,36.14143045455498,36.981925998970965,33.34869714724983,30.9088896245751,29.345145096482277,26.508863782439708,24.681070976928083,28.55673099209635,28.35819885608189,32.13994162573018,33.955669530851495,29.489990091215823,28.553262237659162,26.214729668133977,27.99036708180747,32.074822958748754,34.55843597248387,37.71485587643823,38.01637197047138,39.58442153089352,43.11576228169594,44.17709487384536,46.591842145477635,41.552331279726204,41.154825760623346,44.893626963472876,42.9642408152608,38.71266967343834,41.70739916006123,45.571355148389515,46.6163899827128,49.79241502695829,52.00017417066875],[31.730923024685314,30.374080399657455,30.915812214624687,28.26351509229299,30.74851118747295,34.83410529134679,36.690689696120344,41.208177230048186,41.700831177780465,42.16891423428277,45.507636037846616,48.500193070198456,46.4130620888485,44.67642519978878,49.83531892529124,50.70369197771726,47.34032044318734,50.86290646677502,50.59502988353764,52.80584282809535,54.569396280730565,56.79131670126404,56.61906009929693,53.90924772779083,52.285681769025665,49.71044316062576,48.53859510589688,46.786576722452246,49.820594298642646,51.00179613362851,55.56015786643301,55.249302327617684,59.44118656014786,62.20835002655661,58.97523070456442,56.03217372508523,54.98989006519672,53.01540755630942,50.85366013950162,54.39919254158073,50.53133054963609,53.410798736318775,57.252446009549246,55.280805445115526,55.122149560938155,52.31836396247431,55.92804229440112,57.17843881645711,52.60068959822885,54.7954937305807,58.9375763144677,59.19682088262208,62.8566696768731,59.03944429706292,63.772886757609335,66.01774819906844,62.642176555851286,63.50531205798066,67.9943500673316,66.98182614515035,64.03340607799252,66.39556987892738,65.66925814392154,66.0191601871826,62.74547482186074,60.27999736890978,57.80930461255652,56.49791551651567,53.51448183406022,53.18429838198744,51.54839980320975,53.85566582426679,56.56265641974816,58.522115095181434,59.03936536625299,65.11963362227962,62.84509282994467,66.54443468463869,64.52928910111956,64.0452398389967,62.205788557318535,59.88186102488135,58.63570366955369,56.69550703868275,53.36094759992516,54.615996507184114,56.781559736443036,59.322192709133795,59.063118145941935,63.79793238008834,61.771682977560424,65.14496214706236,62.47785315878273,61.19361353068988,56.62311372261217,57.72889756287153,53.45028363111174,55.89795306548848,53.45615752880167,55.18783134573139,55.3232512890724,53.447070594896346,53.972689277327866,50.909366798501864,50.93737657092687,46.45131920980565,47.3783112847938,43.99866763119047,40.69780600231597,43.605779820722475,40.06127573562477,40.468927245680646,39.68406042264822,38.5667391713374,40.90179358362867,38.85784053363515,42.311072194255225,40.498795956159555,45.49431086516249,46.46820694572398,43.54827778823671,41.976955304806374,37.44830950425457,36.5797194623916,35.98043582781231,34.56264991571684,34.82329825385414,36.33425557987189,37.32760791818863,41.492159410727716,36.76291139055007,40.36515581433013,40.58266762011004,44.57222936599403,39.4963934661509,38.244953972833095,33.0460395341613,33.63447575098834,33.043115936301156,37.13239119637518,36.48757286504622,40.52159757486343,42.88920751407185,41.53120806290206,44.91121959175891,46.171118071915345,43.15045649072948,44.367803314772424,44.00923752663139,43.35759598735342,44.403730330282315,46.254594505633456,49.98146950112993,50.92766790211623,52.33110775170769,52.06164797510467,49.65949150800622,48.77156434198741,49.18189559643878,46.41683132782289,43.94703409787713,47.50014302326086,42.99144181960823,47.42879498738735,44.36429829635738,39.68607482598917,40.21423697137513,38.77280429234911,35.58361301614839,34.61966113375581,36.538620217394325,38.0188447859353,42.83687281961157,46.135027325603126,49.044974365175584,51.26317000074632,51.726930711479014,56.20741263608191,53.90229683482216,53.90336365968062,50.55292879168796,47.209051157839006,48.127538631338595,48.39657839245878,46.170829974870344,49.90615127695413,50.21126517994763,52.22781632047527,48.498696680801395,48.63802514696654,46.75080868510383,45.79063576467312,43.38365382872368,41.13365907832833,40.46981918078972,38.4834239379155,34.833281572085674,36.58398641898309,34.104093877274764,36.88611633483022,37.885682546283476,40.386080521047774,37.482116768202744,34.39891095285517,38.07965348136308,37.926582819012324,31.90025447091763,34.45147995261952,39.88071714435169,36.12457598510216,33.93213394854035,37.149383914904035,38.67611119028947,34.00281231851791,34.38095622078759,31.647466683403017,36.21074468500305,29.47608633275519,32.69215319150912,36.39381758385629,38.160621691817816,40.89113048368272,41.596778988493305,44.81442103343051,43.728008963854116,46.69253035558256,46.22746487128303,47.39613398451624,44.300185748633346,40.277400189109315,43.07323702068454,42.3692658371584,37.939917914595576,37.72276585807445,39.601780291981356,35.79669859907107,32.57282707415161,34.386775930126866,34.391215814932266,40.2324385949605,42.50608024813511,43.68565175071743,47.54217204961084,51.006503931015686,50.24644443915189,45.39985389260356,47.51438040898878,50.37014694537366,46.29610402775013,44.0177266118334,47.73775536090094,47.59872575313857,43.40526884862982,45.91445379349251,48.20594857552561,45.331200892373346,43.322612510458754,45.86549933281061,42.92950404575722,45.04787898320554,44.392951924264366,45.10750600875389,42.896094334222845,38.83758353274678,40.33434060654437,38.969178299214256,36.28033646473777,34.70048936927485,36.9459446279104,33.81734856980846,30.24925380251815,31.465950286065127,32.469130362407306,28.982104530721422,26.418076398358394,24.904213254304167,22.188960421351737,20.511726402437223,24.652810338539847,24.49566551285323,28.04314350240995,30.1045487706381,25.790374728345267,24.50909144711265,21.930030418095672,23.563932341281067,27.52112022254475,30.159432828797726,33.156542050841075,33.66936464888014,35.366233124135114,39.00384439201172,40.15186053846784,42.76977877916124,37.756518807517914,37.5140128557686,41.4062130178366,39.471493521626975,35.35992400263622,38.556277716229225,42.51371337726822,43.41816551104737,46.560098548480646,48.76988118810282],[28.6479578594295,27.363539771954983,28.11650421139011,25.087798422434663,28.062395341014295,31.713220739984525,33.66827503709394,38.19497942561351,38.437927365099654,39.01973757257692,42.256769635154576,45.28131911411269,43.45854985395957,41.56185705662435,46.75569820777355,47.788048053796835,44.59400601072473,48.21544418560843,48.15676860884591,50.542608016811855,52.43167594921316,54.89189380565254,54.77191183627898,52.23086346791186,50.53336937451498,47.695873201004034,46.51023606855225,44.494978737423715,47.34923437220827,48.402518504356195,52.72543675863122,52.47895362358637,56.56338694582318,59.4578162822886,56.38377593939937,53.54121800511364,52.57274167335498,50.86602717001171,48.91445306489966,52.81723370753685,48.96524560417933,51.56318306102891,55.558597771572984,53.81045875271494,53.86193478060846,51.26911591302705,55.018802515306255,56.0051399270136,51.42636097962594,54.009884436063736,57.991677562896825,58.14171857042009,61.67937685123937,57.62064136139674,62.29402133456291,64.62093282579765,61.15348039515603,61.76516076722263,66.31675304826624,65.46455909728037,62.28175246534508,64.39359441516883,63.45591653970696,63.91399685257972,60.786004580784834,58.17106835785807,55.493960097525644,53.98356136781195,50.89524862314037,50.32314460881399,48.69047627797863,50.923162008902686,53.65906468521577,55.84477483253623,56.322108058417285,62.48567926665074,60.42100422556197,64.0451898986353,62.20285973413859,61.94720097001852,60.119515505949835,58.04613179914786,56.69278887481046,55.06148511302251,51.683555947601576,52.6349421040935,54.745060220284984,57.076666418094,56.737507783458035,61.267710285551075,59.112868050807435,62.36551579965655,59.57057821460198,58.206221243668026,53.5903785028161,54.52402065234912,50.21515428933428,52.815806728135065,50.37188887428044,52.08765323207428,52.50301685213506,50.773789991419974,51.507827575523486,48.586553840985836,49.054140159145796,44.46729086930847,45.64238043293759,42.48420274766448,38.957537351852025,41.58108949542923,37.77405742273289,38.18181797857465,37.025449211931765,36.0742844134691,38.1893575749114,36.31003986919587,39.8227243160612,38.23318848896909,43.158951309112005,43.86466204188055,40.8276205155593,39.11689992531678,34.708845915490556,33.775813825317094,33.06426015985084,32.08300781594091,32.293956269064765,34.14106519661787,35.41150476800306,39.825743868426,35.420763493131865,39.26153570862479,39.63492635663244,43.31863477623007,38.237191052954685,36.59647975468588,31.619632410855726,31.879080468809963,31.082616784753387,35.23506749390236,34.72300452096189,38.987303980739796,41.02086420364102,39.560871468089296,43.02670604309459,43.961138910694345,40.88081963185054,41.90277154689848,41.56537233735681,40.61190454032364,41.71517325420181,43.249730688957634,47.09552262293334,47.744760896519374,49.139752356723996,49.09437401101463,46.75390815909017,46.09819971703521,46.55869220601447,44.119656193828554,41.891048948879515,45.39339349781476,41.155872388759995,45.717314904659034,43.01509450798586,38.53156112412887,39.33284368334198,38.267480901515306,35.038708218519744,33.65428152377816,35.45048951890772,36.558151436487016,41.350191697053354,44.498715417609866,47.203307236579896,49.283217107219784,49.466285305535116,54.115244864861396,52.05097571633719,52.168040864340384,49.09464672303604,45.54949335890121,46.92969119652112,47.4795802737801,45.12860084871712,48.82221666541201,48.894800677905614,51.32117857755792,47.699383519680275,48.0299373885727,46.4031888890246,45.12849902210384,42.9424585108572,40.589475213909246,39.988250175319344,38.15640727049043,34.20049744094846,35.855379271161475,33.15539548955387,35.49580211370255,36.74313319011897,38.84450562524351,35.70469636877311,32.909218824998646,36.619321238333455,35.98588880037304,29.96402248027296,32.79544941370909,38.04156519454637,33.82975212774592,31.786903796382493,35.12221200835438,36.251302201822256,31.443564054612388,32.16091975493873,29.60537308082871,34.4874375889425,28.24979892470589,31.39661400219777,35.202775952814264,37.4787264122314,40.31261053854963,41.308200190361205,44.329332709742935,43.250156837440116,46.26403635473968,45.558610678721784,47.13708670621099,44.18495908546576,39.77564394276225,42.69163155819182,42.493295222750234,37.94004395122497,37.46251611889539,39.620591995623336,36.20259878716259,32.63273449189519,34.19210949102619,33.73027154568409,39.41485932863929,41.83981561907192,42.75401524617462,46.47375773580368,49.84565795978267,48.83789574867636,44.04507844443317,46.12032554046194,48.71166210236973,44.47362362997199,42.30224750729878,45.87237348513669,45.48946632464885,41.323341701680874,44.10645547399257,46.17127399572256,43.01509465447754,41.328332714332554,44.108094016485026,41.3495911378618,43.69525376927758,43.066005660847885,44.16156358707,41.86857314065568,37.525404621761474,39.41392531276024,38.301918804942034,35.38407399795336,33.85287816399107,36.68954899811464,33.56613194337076,29.57325244263812,31.16168668324901,32.701633510425665,29.07559238400436,26.158371298235384,23.953994512512278,21.901947907975075,19.43407704984467,23.54045935390359,22.58265601570032,26.187023367818224,27.670423950303647,23.23123884266847,22.259043330852332,20.15205260427488,21.80770027601781,26.074463762493796,28.21546042730116,31.55494276015447,31.651152924642904,33.11537005313743,36.5755336878586,37.67718860082668,39.99622031652464,34.93782853523742,34.63363562921229,38.35684633193738,36.35488152390226,32.168824629895184,35.30113769347873,39.147110844463256,40.100009069039686,43.268758578621586,45.512541992539084],[29.359349223212938,28.535141932372316,29.976480834822457,27.027817515879022,30.690386133870476,33.825475140958666,36.10317207865257,40.53689207134356,40.60068644148911,41.47976576495126,44.56898826548995,47.546659951380654,46.15090971003765,44.11327660034645,49.32398350671491,50.54292645224036,47.57123585026283,51.27812892669136,51.382509009857195,53.93291111961555,55.88237916432178,58.515874299723144,58.38568200858399,55.92804645326247,54.24790803328395,51.24724973505138,50.094211565550836,47.89595092830545,50.58148575710854,51.48227829874349,55.56777172207393,55.3382303265481,59.29316830739893,62.3510725200261,59.44224014666957,56.7257996576177,55.78189762319277,54.342313742541855,52.547296901773855,56.64494906254772,52.83054980370097,55.25389378559513,59.33524338205534,57.70670243608603,57.84445959920379,55.340873184966654,59.12579079468902,60.027108600316105,55.45624665955139,58.16792182332017,62.08879991026509,62.177888161296444,65.66332957617382,61.51063313147901,66.1369614773437,68.51855435792456,65.02418402989754,65.49117784926148,70.06831069511622,69.3078058307967,65.998930001857,67.94170499432195,66.85208360245778,67.35932791767382,64.35236508460152,61.65606722228016,58.78980546153808,57.13656907473244,53.91653875004635,53.1170752294238,51.45193425533218,53.522412844540305,56.3545297454694,58.764723492988324,59.26445593170167,65.49521971516408,63.64841105856936,67.19829367527764,65.51213911256164,65.4360191846956,63.59215181008932,61.68714065041996,60.199275970415044,58.76442937816915,55.416118662142736,56.17668305695279,58.28754576641314,60.4237468024105,60.06176362251208,64.38812936311106,62.1242849008852,65.23685258594814,62.30622309485958,60.84307989689773,56.18430829354573,56.88064722498412,52.545527541683825,55.29470331088513,52.79970635538422,54.328479954470076,55.181809651414945,53.43515088254468,54.50192653752731,51.551482984840085,52.34332771055156,47.639311824184816,48.78819755234856,45.75622928846011,42.04206472257764,44.54038485196508,40.60401242746867,41.28207377101504,39.88413669118414,39.232131616037414,41.20785560531454,39.53234139204097,43.082115539534264,41.66947328886044,46.470961578311865,46.977701896248945,43.82712246068,42.00156045075392,37.75576855345525,36.76581051749611,35.87499424627874,35.28755174347895,35.160573654240196,37.335475084586655,38.65595736501712,43.232050235531894,38.94310984294095,42.75678346218794,43.39004852894121,46.94429124178695,42.002984439710865,40.25414802159997,35.36900761988916,35.63104698083537,34.7867743406363,38.94436745001265,38.52713475661311,42.88072972739095,44.72966929726344,43.22256144765448,46.723884376188835,47.41447998683837,44.295234973660214,45.09576582237339,44.6818873070455,43.401269040381784,44.36316394138947,45.542136498959955,49.33862315782156,49.53255822196525,51.1411168363661,51.42995194907825,49.296696913199916,48.79548128451922,49.466611573462664,47.22980811207284,45.32592874997827,48.86151208372034,44.85837836562129,49.468093773507505,46.946465937322046,42.60068882175203,43.43593597247023,42.50354111532985,39.22515060455543,37.771019234637656,39.45552556257501,40.44176196759819,45.16109332914669,48.20031159995047,50.772741139929195,52.68066436896815,52.72712167685749,57.428344410651334,55.597461026513805,55.710434860395594,52.85661551771854,49.09477899682464,50.68875909123225,51.380897622167645,49.060280425682386,52.82238251786445,52.84643298114614,55.431778526506484,51.87956144205552,52.232226339025885,50.649118276266826,49.26896040721814,47.063213183386274,44.61816363560655,43.9240034262011,41.98630637385331,37.98293813331238,39.38068481482685,36.41864491068331,38.60017339659173,39.58246288047454,41.51966870122148,38.412892992144414,35.4756482832478,38.92197827803167,38.143971878731136,32.12645116706495,34.70137178263388,39.76368547145785,35.3903848850192,33.13624808358495,36.24396751606589,37.328233421095064,32.32441587086356,32.77215671227903,30.53108402857411,35.189803119111254,29.350722445789252,32.827692330296365,36.40460344193465,38.892588511163154,41.3544914570567,42.74941502265949,46.05058121995528,45.31899850706555,48.54293519093243,48.08793641670063,49.795540319888076,46.63302504838917,42.38567553139472,45.56424756395905,45.36186460064946,40.73560639550059,40.4934412204164,42.89218580546458,39.30866728400031,35.667508207831986,37.67471817918404,36.81036551031027,42.65297809959503,44.944608351661174,45.515392642954964,49.300326718616795,52.415724907437955,51.55697356631471,46.78302301891992,48.45717206218049,51.03936937325194,46.88465662497081,44.47419324608884,47.77019003975654,47.291327381245274,43.068189236544896,45.69847594392563,47.5615770253984,44.26553410420734,42.522414374559865,45.27522091537496,42.69636016368763,45.32119269410336,45.061492070487816,46.180003161081174,43.49503394103007,39.36479971064893,41.61478025893644,40.227046207889046,37.18188675475119,36.173194750048715,38.938987907183474,35.41820263418624,31.701441033329502,33.761356394020694,34.9901079864237,31.02528489357474,28.332968467592977,26.09834289929538,23.784494375194996,21.130928120866848,24.669936523402633,23.869130067077823,27.861210580547958,29.21909532414501,24.632723478112855,24.2064472320401,22.38131094641323,24.505911510677556,28.803219201992285,31.021466690112852,34.622541954907646,34.714308676031074,35.515110644341206,38.91618888986815,39.679862496174856,41.959090781106,37.02646676602278,36.21120079136146,39.83044704712825,38.228711490512616,33.66743364976197,36.32874402197839,40.20285046178349,41.466015490300315,44.69892028271448,46.8605482899807],[29.69489475029966,28.74452083411368,29.91922158851888,27.925232034856485,30.926614795528984,34.78100783514993,37.161741700881144,41.493359057973194,42.22264030279326,43.26862986976539,46.60239196541665,49.290507893373594,47.70939067433501,46.210519644215715,51.39779888418363,52.26496486466196,49.25513125070854,53.073802503368746,53.29587774692106,55.41822149848818,57.50164109472438,59.791871823517006,59.8840192164558,57.36453723411808,55.465541670076,52.74959014355914,51.278255713113985,49.2322853787748,51.95295229548505,52.72133920800716,57.37631762129832,56.66188901725352,60.789425333364086,63.865149151386056,60.69328882819433,58.0389861151769,56.68418604819128,55.233211867236726,53.20658471430543,56.8100045785831,53.28646349453604,56.19421900505889,60.08121742449221,58.16448808997391,58.302045801199334,55.531084822878135,59.19179468592402,60.185586340389634,55.43389837577833,57.70194947621019,61.70243456406562,61.73740667395228,65.39651632266238,61.49083783521651,66.10350343060246,68.63556115844942,65.39948001418539,66.02638274531671,70.56595518142286,69.85830177163687,66.89532603743226,69.14855080382677,68.23972915325591,68.93627132664919,65.69760164610578,62.98113648169692,60.633222155371186,59.002018502695094,56.169055422064815,55.49284259155418,54.04672056143648,56.428260684440644,58.967036329269085,61.19366348898218,61.383682075644366,67.53745732737302,65.26775745037456,68.74958769049877,66.73970008464838,66.37187897357684,64.22386511596162,61.98696508291081,60.316625075555166,58.5293241313469,55.404856693515,56.53042020460014,59.00243596433261,61.16662757901421,61.26315411801261,65.721356885265,63.81946359326988,67.23510429503055,64.37116127745321,62.80743955976671,58.157543939726786,59.15269490288843,54.818859712274204,57.030361091343025,54.34518284478716,55.57782354367672,56.193304202543054,53.9028480706437,54.92737115977106,51.49397025464956,51.73255023527084,47.04436632724886,47.65174870916194,44.346208413869846,40.81568853113849,43.7486990083889,40.208015842432296,41.25745672880363,40.49702947827306,39.94247608071319,42.543307105166946,40.90987550785437,44.624554934338015,43.26614034206649,48.40465706566137,48.92168200745523,46.004601184056426,44.09403336624339,39.73570390456077,38.456862535468126,37.33640712334978,35.98951659849828,35.34681701156404,37.18356695272101,37.95304656248301,42.28314342855372,37.52864684892489,40.92225405468994,41.69767188698607,45.573009312156806,40.882291541490574,39.71906318581588,34.4879899890447,35.587384657304845,35.34789295165005,39.44072215404149,39.462195705839605,43.71514808960792,45.79113686267938,44.101393544066376,47.41120328375253,48.31469580186437,45.18738016495419,45.949444444480065,45.20559057724791,44.229708041145116,44.78578104871168,46.460311980125375,49.873341447277824,50.513080099340264,52.36303882228197,52.33006037623414,50.294636203675914,49.28155281979479,50.191394639835565,47.31491754296535,45.40683680468021,49.301146695074486,45.16895701172037,49.59256190848603,46.61265913050425,42.31631631213401,42.5174710893484,41.415439513228314,37.91334669070064,37.04111564679128,38.5904619005304,40.11213832633422,44.71363006926867,47.8499247281216,50.65150456113078,52.52470639947591,53.09771964127516,57.43544308848143,55.48364999965433,55.266006359714076,52.25322316384052,48.41997519689273,49.48589451956361,49.96359405478763,47.954875816050226,52.07803450402259,52.60891503725523,54.786617860378264,51.45088271930103,51.264457416311245,49.31862270496398,48.06716621858676,45.38381677353994,42.83749155171807,41.85148367298032,39.5269616544,35.84570883290182,37.02439208809797,34.078816217001,36.77801484028199,37.17580660870687,39.61108269326059,36.90750555803956,33.400527895235925,36.67579358520786,36.59941893082937,30.56003358648969,32.59280425932554,37.90088025075326,34.25538502395591,31.694354278135496,34.580752083709044,36.35138364247689,31.586265040950728,31.430155907487475,28.87869239209616,33.042595459127746,26.47369827731609,30.08271629682075,33.4988155316401,35.36084380746321,37.694671674978366,38.787215463878745,42.35268743350611,41.69780432222801,44.941422344675416,44.88312445260836,46.178417680806554,42.753473817119065,39.01031769959211,42.208413642425896,41.458821676539124,36.90736666075102,37.1003574531553,39.40435864205244,35.30754765439228,31.937805026888135,34.611738434892956,33.92881088262115,40.12213054874346,42.102759061238594,42.77505200849838,46.802907957635284,49.89887349901844,49.49777861166928,44.641938428685,46.14976223456313,49.1430807053503,45.29271557999641,42.58033806538079,46.01850915174396,45.91904283320623,41.622041793867275,43.763343278723184,45.95666801046203,43.12101265007421,40.81772813392309,43.1955456325154,40.364548311831044,42.71020430936265,42.51171858239619,43.12031646754595,40.43771768560341,36.7367624572362,38.576371982423154,36.779700137167524,33.980531670506544,33.07857282318589,35.122495504726196,31.46473723100757,28.31172366651574,30.14525797377855,30.682935471654634,26.732311973832758,24.479339834711556,23.059359084241663,19.878912104190128,18.13847469025626,21.6445241209199,22.020858413771833,25.991034426742043,28.32487492799932,23.942212376319407,23.07974007591549,20.55357669901573,22.904142519645813,26.740478515990077,29.847753200150176,33.09838600049,33.96008243937754,34.6514867093289,38.384048770410615,39.04792450904795,41.9609103493741,37.18500480570582,36.247820130431336,40.231575657934506,39.01277758364612,34.41744733888012,37.096394637482284,41.27723630584931,42.52767101076152,45.73069677531789,47.78469999342732],[26.85950217691355,25.5565989667018,26.242300128052634,24.329995854607077,26.8867368035541,31.059349393020586,33.30669256463122,37.63738369512691,38.57317524579892,39.555343661457066,42.9914474490438,45.602483799227635,43.8518319658759,42.56509020306901,47.71973004663744,48.43131467201472,45.39683787877297,49.25212641159915,49.56972510834494,51.518115019623515,53.70101646610161,55.90131791672437,56.13368288264775,53.67638580238278,51.62495872360312,48.95517646197481,47.3241207278279,45.28051547421305,47.97769662785734,48.6977383140384,53.54717583057075,52.680324446396725,56.86918111052542,59.9178346272918,56.65770205441978,54.02537822628581,52.55178789821461,51.11628560032704,49.05543603954217,52.57974897715797,49.17414850799766,52.17597148176925,56.02498681614196,54.08980836989102,54.32834347775117,51.5615526774614,55.242490055343076,56.126640528675814,51.310580429100455,53.60700441858429,57.54948261266774,57.5172601727411,61.17489818309882,57.25649834368903,61.840061927844566,64.4480110586352,61.268039905613094,61.86096107586471,66.40763808905372,65.78176248395663,62.87030163242932,65.16598751133985,64.27642931865113,65.09469661941996,61.80230768980657,59.030488388773264,56.879421910349166,55.21241762464422,52.56698283811606,51.91944818621502,50.5992295048927,53.14908886320063,55.505892417031646,57.66007572671776,57.67742585632744,63.78606091636979,61.36559073020427,64.80215651411052,62.693256210641785,62.25897830864552,60.02038937944039,57.7310354602548,56.00887374162705,54.18229247546247,51.103797484796246,52.27376854162146,54.837900006863514,56.98533743781237,57.21752722218904,61.699964210689714,59.92758432432258,63.456589533507234,60.63077941194931,59.045503707971896,54.418090806326695,55.56505397845173,51.2529425703602,53.24864181260155,50.536924520925965,51.77686639214933,52.186385004912495,49.82050529611345,50.735549790180066,47.256424774462744,47.375746839072995,42.71476210334025,43.32619044954951,39.99289600215947,36.507265440097406,39.480615030780555,36.00366577830472,36.99915667862091,36.40155402330499,35.806330520270656,38.58648358154996,36.97387442302525,40.7460538231688,39.4769181138978,44.74555154230626,45.19159333451936,42.38917838514529,40.43098321082051,36.05713198283891,34.65012411500807,33.473114214068026,31.862365947124495,31.197100478761577,32.896812100916435,33.6057421238199,37.892609279341976,33.12250977062275,36.55266455953951,37.30630944426613,41.1651469645899,36.4733469285524,35.33824795146563,30.08622151259638,31.30143071833808,31.22177724970573,35.28833636920719,35.55354054584477,39.834825235983985,41.861451283795944,40.05924407429484,43.301943028424716,44.20893669194756,41.08120590964265,41.82773383566837,41.02141903755018,40.18309935977095,40.71858641948858,42.60362412046618,45.98453480323776,46.91075473186663,48.675005785316436,48.43891982195625,46.343052381622286,45.19674975673377,46.078410776851825,43.058918124056525,41.10595643000186,45.066568278634335,40.945482511694586,45.32966051717448,42.323568723938266,38.12384213752356,38.24179215055309,37.27079261207501,33.68777253355453,32.795103548559965,34.25744608722562,35.802227739568,40.36267926943201,43.491323287992365,46.31402743911857,48.18703636361411,48.85077433713525,53.123473657867564,51.14306637235083,50.88960096721544,47.87374014388206,44.02587289959629,45.08075449870632,45.58640883742484,43.583887508176595,47.75947847048392,48.34816009228191,50.56131803871868,47.35921690011159,47.088891016554754,45.174237525786175,43.80442654468639,41.12010587388821,38.52208038739179,37.539177195949264,35.26341256092053,31.501166163103406,32.71793850721678,29.809376152327676,32.49485984192522,33.07938062960971,35.52141724132039,32.76067053949704,29.37625773606479,32.83565698985811,32.757270886122875,26.71308473310023,28.982290883845113,34.39070447159093,30.783489187553805,28.4105714967041,31.5078304811571,33.2355142135179,28.62215965020999,28.76064747570891,25.976858257658513,30.430392256085106,23.671328998133422,26.96052043503889,30.618392033310883,32.50653946922438,35.22820846698374,36.097850134777005,39.328469256051775,38.38942125972665,41.49883786169184,41.15833232201134,42.53643612213149,39.321143323031,35.2794353397027,38.35973596811229,37.83804234582279,33.260470046714566,33.1877431718702,35.47943168018549,31.651545810784672,28.14528625048189,30.487251446367715,29.830971005290362,35.91184362393308,38.010258853085325,38.79806088204539,42.751643543945015,45.98556783698447,45.422015637437795,40.56320812886383,42.31751273416105,45.25357908081296,41.313908725178585,38.7757915942547,42.37605657697146,42.29653153998664,38.04548563992432,40.36443376605134,42.660751048840375,39.87853753705854,37.69043524196344,40.1558694137382,37.22808940235719,39.418880462815274,38.939179753436456,39.66432196390985,37.261774807336,33.2813173076678,34.9806354938711,33.49562266064283,30.702139294019585,29.406025044405997,31.7530469912828,28.419707277756515,24.83496206356662,26.47311890483021,27.51309208717419,23.76341927734788,21.125383664052894,19.44108731481241,16.736263996855136,14.839226461736864,18.857984293682257,18.8494031502477,22.508963171231084,24.85836577720574,20.60329586284211,19.359279091920836,16.677939542675198,18.76386336053207,22.616869652833973,25.641456373712682,28.800060058513033,29.661666591710137,30.638130788935662,34.40035371500927,35.255774550070456,38.19818530811357,33.36982848341363,32.737624030517956,36.793545260550644,35.37013098878245,31.015848160913112,33.997897545405124,38.165181588388066,39.205412330331846,42.350481081040094,44.45051372878791],[22.983938088466644,22.120537194615263,23.664915855929618,21.181612682940493,25.02401785133641,28.122727334837126,30.739082872452492,35.012924574008444,35.44047997659988,36.7827486154238,39.96142159910354,42.589950419048364,41.503212098644006,39.885594863002076,45.084563086832205,46.15578293841791,43.5109908503689,47.53328609619469,48.22603535796449,50.52860967039193,52.894279676917705,55.528188572629894,55.800049817551695,53.62425073380988,51.520138391970654,48.402262825786565,46.80812388546991,44.301645301187506,46.635450752440654,47.09071448929229,51.41961833224839,50.68213532114357,54.62222333921147,57.93919118862632,55.02267013694181,52.60781206358701,51.285377229356364,50.38086841752538,48.724813272089726,52.866813416509174,49.49182174286749,51.957310810199246,56.05713063630806,54.52012890343644,55.07647410428492,52.673353436403936,56.547581870629536,57.03259606154621,52.2660728582159,55.1706874910984,58.8462230960001,58.65467181383618,62.09040754454054,57.79175349925011,62.2530904334539,64.97373915180891,61.6422863161005,61.808372036623716,66.43786943657727,66.0685268106081,62.75524291121885,64.58886665293234,63.31847051357334,64.29104080835428,61.29071050877136,58.28610672707232,55.71731932489901,53.70260761077421,50.82430278301215,49.704543240104414,48.366755382863865,50.69471974368092,53.15085799235759,55.75020599354833,55.74243520528643,61.991690417873215,60.01822782434041,63.305980417668394,61.551885460417544,61.55373386976242,59.35585776550708,57.54019550664483,55.62124262501325,54.3669504415391,51.23583722275693,51.8464344517726,54.29212024057944,56.03277741167403,56.104778121824026,60.166297429480245,58.13312307391497,61.38671053193579,58.306985598189186,56.55956682325663,51.85184730917206,52.59728796896913,48.233139206126765,50.55466931964618,47.82065937285563,48.93286071129174,50.02653526621907,47.89720282959214,49.31375348194143,46.06663315911194,47.04705967333937,42.198094802013,43.18994838132863,40.296738242673435,36.38651517557857,38.812381108696265,34.857177596013855,35.99228253044609,34.66148045287747,34.499545451464485,36.82534618364554,35.58480514479841,39.426464391582584,38.575066956681056,43.61644876560607,43.57503578478623,40.54822238115492,38.33788467605762,34.272192833126425,32.75402396121115,31.30968828774313,30.63813946110853,29.70824403455303,32.127956005128695,33.3095491184376,38.03558359104303,33.89245388688308,37.64413307369135,38.73445376318651,42.02588297310783,37.42514465190437,35.639654965430246,30.853546727718154,31.50957394163677,31.063609345443314,35.17816560487368,35.63184568775429,40.23402531901257,41.67778453374116,39.74120336622803,43.11396004009494,43.41232889403557,40.199506162056835,40.535252271723444,39.737362962034226,38.243012886593355,38.79037329165654,39.95324985558284,43.49247264637124,43.66708775306707,45.5491833482891,45.86584045302583,43.98794065643064,43.30526919922103,44.373751687637395,42.001030757379155,40.59839479580535,44.45298635037593,40.88096686721312,45.44649202938282,43.09809959718722,39.263019863949985,39.83504724214113,39.4477781174122,35.86834414632252,34.328067005529746,35.56826024811592,36.46460388784925,40.91644615060266,43.74413667134456,46.167977984819565,47.742401514205206,47.88715353537239,52.43593445458809,50.943712173365505,50.8796521637637,48.39900438529037,44.18524335867606,46.04258318773732,47.02471943363887,44.85023899262,48.93222570182477,49.123881139722876,51.99193385873538,48.95355003285378,49.01439453540445,47.51585491020346,45.68694308682121,43.36793838102387,40.632099821739416,39.733669235471474,37.688727853737056,33.51041929776971,34.460732886596816,31.13721090591938,32.994328790416596,33.82886446223127,35.50933905415182,32.407855617533755,29.453330791260882,32.76406787620594,31.802837558686043,25.816100959741583,28.375445225876227,33.32271997832876,28.854763045396314,26.600915268777488,29.744032842324774,30.76692682916471,25.774960065483043,26.319962847190354,24.061916031024996,28.907694525121137,23.331442343506165,26.67868981519441,30.326335798614593,33.15787674753197,35.788529751310826,37.34327585975694,40.40170162900102,39.68944483859698,42.96037345405749,42.392239286550634,44.448576592025056,41.37323034260711,36.88429556153522,40.24699608037651,40.48378075525992,35.75763795764651,35.41286871402197,38.197501359160796,34.92153592283406,30.951050542291846,33.06481220898485,31.521687348517606,37.342057420001055,39.58477631605916,39.77312349864413,43.51085394232304,46.43788393529054,45.571457605576676,40.841965755325106,42.29780102622788,44.789948397631115,40.65479357578502,38.164805192864804,41.34102803633208,40.80703132580445,36.57633419991311,39.24295807394798,41.03882475551279,37.707493872581,36.01963773309284,38.853710379744626,36.34009134953918,39.06331179653388,38.8506012482915,40.190611364504115,37.44401529705527,33.16642360219756,35.69931274972918,34.47253611050997,31.270182672602893,30.388290290823782,33.59163973962194,30.091074577687273,26.071466624467057,28.54000041434474,30.205103481631724,26.14974207472668,23.177718607440355,20.374083549137808,18.74829242688392,15.412910465174193,18.827042403361574,17.453609034343305,21.4618228169274,22.684351575456017,18.089611584635826,17.826173115065316,16.270298739257886,18.66609067662166,22.983157809092457,25.153983849665575,28.987132449177157,29.14626275185797,29.328689562698603,32.73889461215154,33.30337444211833,35.72492477648973,30.90742828208712,29.83435948614008,33.55318689416602,32.281405850195114,27.53789313416855,30.112514161721144,34.14351561388871,35.468038846562976,38.712564990431666,40.809466620853335],[24.36189746882882,22.79647865046827,23.219258210165567,20.151044846694518,22.98385323122207,26.728544634556794,28.679320688124236,33.1900174964198,33.58992616103124,34.271028023797506,37.588140460957284,40.48394125421105,38.690985776997636,37.00759076613571,42.2002129702845,43.13205663950325,40.054955167596354,43.83452640646172,44.08574871852387,46.33482397527393,48.4642804823965,50.9427779331535,51.06186984738784,48.704070111053795,46.7402374518014,43.80723860869119,42.368645502607706,40.17102858661246,42.854783261881444,43.71085386528883,48.175686836185186,47.69984380802885,51.80035261696357,54.78967125355256,51.69563965349379,48.97917557459631,47.84372799201303,46.38253912346916,44.51401939537339,48.504017757002174,44.86154083744061,47.44382891432298,51.47697636682994,49.81306696138321,50.12980214580421,47.63984423229288,51.478355047522534,52.17785752502077,47.49518659489218,50.290394896395455,54.10692610288626,54.08876144839484,57.57003816011411,53.38007155164984,57.97039591159615,60.47360591228042,57.061035638648214,57.4800243750177,62.07532999539609,61.4438640118769,58.217763791762565,60.24896150627848,59.203158368406974,59.91724596288749,56.79730914189722,54.00087665376078,51.48152267032832,49.771984551209336,46.88061173096214,46.15747760255854,44.713184744412786,47.12701448395384,49.62989397990036,51.893381385874214,52.084962374669736,58.26076035220389,56.11185790221704,59.60974790675862,57.73022630360006,57.52352508280692,55.53316142213719,53.52938620108974,51.98482669625611,50.48073915891837,47.17563329734407,48.01141505398262,50.26336538875217,52.40638655427665,52.258072561192186,56.672204334132395,54.63060124681682,57.97224698886205,55.118502113739495,53.631483658586795,48.99527259116823,50.00227688302561,45.68303795175142,48.06245154888328,45.53200002221647,47.147135464763295,47.56084116156913,45.73154184944494,46.54082355465614,43.56398408694089,44.1509899235166,39.512480924350434,40.75477040138175,37.70039980642381,34.08176801675181,36.59763392502308,32.73015124701648,33.186433105943216,32.0225237122327,31.211413754317213,33.47821000411697,31.779888935501695,35.452405608141916,34.16668855845712,39.24951864024432,39.65272612374323,36.68949743722331,34.777852385826,30.43103547756574,29.22516552900087,28.282756867801467,27.23297363015417,27.23843886326966,29.170890587152385,30.48961984576499,35.0069551934239,30.768152057755945,34.71986449589897,35.23617753355542,38.71436741437705,33.710336405455685,31.9170354177635,27.044541174418544,27.333215122209992,26.669582289640594,30.829806449477545,30.796256854617017,35.250209919550166,37.01012662564055,35.30385873997964,38.72396626791508,39.437419038878275,36.30089988689609,37.122523750041964,36.65024077135682,35.63902814110522,36.65911313639801,38.24310591566463,42.052593521139656,42.82262558126195,44.206485005439546,44.086970524945905,41.77733501212696,41.05895547437692,41.60937257661723,39.14500729745211,37.08874476843769,40.708070762716225,36.68236937645323,41.2593241571397,38.717473228104275,34.51441033566025,35.296160174925745,34.620404602322644,31.248788252642154,29.64840941217614,31.216559416222733,32.16191243750171,36.85084094997247,39.885433999939245,42.493237525945084,44.44200028422679,44.61417799000351,49.243672864436725,47.328777656239275,47.41719296145661,44.53750011360541,40.79293254325619,42.40830467738219,43.158336266176704,40.799927368356286,44.59570115468774,44.66667782438145,47.347685081020366,44.00250605871176,44.26346020315264,42.78198299085934,41.18601996214818,39.06156441448327,36.56646721041519,35.95015666424492,34.20736466620259,30.043844555256523,31.58775783430755,28.77260261621361,30.8212831025687,32.29943429143124,34.168708781811205,30.893746809873402,28.3538322456292,32.171029581620886,31.296072112423353,25.328601902141312,28.460958169088926,33.63417211750653,29.277144732049333,27.482015835356318,31.007942557669903,31.914855586946395,27.228157231477265,28.340932025274878,25.710775016643623,30.90910650573393,24.89773055779418,27.671801940894735,31.65776062518754,34.18771787339458,37.335985388593116,38.298730608446334,40.923837091308755,39.65289030407757,42.5703824678566,41.54526243889419,43.406582936187824,40.70336219823854,35.9134829498526,38.798651488489305,39.06422809963051,34.47327131438544,33.669199272166864,35.98801683112299,33.034782030413844,29.205051033285716,30.384915723636706,29.615967517079895,35.08615197531466,37.64149670818511,38.4529860773054,42.02858323778932,45.41417446178077,44.18860143626532,39.44328250979007,41.639335688065614,44.05094271982196,39.69973993422532,37.704781723833236,41.29962142016296,40.82737584469121,36.72897346026022,39.7512320164509,41.78249659425312,38.571263559878034,37.12318092374626,40.05608655332099,37.32702191120389,39.642539310314724,38.822522963619434,40.19227101905478,38.08719138155589,33.432259417767185,35.407031459509625,34.67903381214511,31.682558558593108,29.909124499280683,33.26979809268134,30.444408798481824,25.968028124482316,27.605633194213457,29.80549164536483,26.336175847385928,23.013730483821227,20.244611405092538,19.10626903282461,16.13762427058342,20.43295989987499,18.702225960667548,21.962672947100454,23.1194065627999,18.799737219354004,17.67687049174428,15.80371178158242,17.17991157717106,21.573380882639945,23.334452123990317,26.78336560353365,26.68597232860092,28.178218047042638,31.57717898290731,32.78138691414967,35.02196595739267,29.927608198619087,29.81541033828129,33.53845571895056,31.401052665928447,27.365269538212285,30.71037527086707,34.52150676180884,35.32804607130261,38.461199257899345,40.744186641109636],[25.503696038782905,24.329140603163694,25.32724957871666,21.225330650782706,25.037793657207466,27.557015583390896,29.439621487236426,33.95861215104731,33.44448670138476,33.99306131992273,36.913382577871985,40.144350280716175,38.73380060857907,36.32397797043848,41.5180247118028,42.945369978493204,40.00404213523715,43.63174900902333,43.76515709139689,46.5832798062574,48.5357141611584,51.45778658797068,51.28917724125036,49.03146273305652,47.37197335181427,44.080252979617015,43.0719621311739,40.66923877095939,43.242643354481466,44.21701461745935,47.87208677278953,48.006130454799234,51.83152156850615,54.82835121855875,52.11730100514778,49.37699675100721,48.759415655218874,47.39121271952103,45.85801904745317,50.428853087900926,46.48445924864318,48.41880295087123,52.665121493130684,51.38666611468378,51.704932531171124,49.56520256574491,53.51354907250451,54.095783520927014,49.68056634238534,52.960725119858296,56.6428397018073,56.69305416535517,59.939701099215,55.48507466932099,60.04261714933797,62.36452156810944,58.666713525658324,58.8735991420483,63.4859748357743,62.809265277963114,59.168777167286414,60.782374750016224,59.492425440234484,59.97943053630333,57.18263751408801,54.41486580028949,51.22206840255961,49.464172336136066,46.06087337612741,45.1261760293511,43.39185528132858,45.35072842831016,48.256269311088694,50.80413661100845,51.39545398310271,57.664801268924634,56.097368053800345,59.64571259056812,58.20565610632984,58.39139119642093,56.774150112810034,55.21628888961079,53.86866059869477,52.830350577017086,49.30691362386329,49.66541623064687,51.46335602595055,53.510028614301895,52.80296606008695,56.97999192599939,54.4784868277999,57.39599109496263,54.43459319944375,53.0499016323735,48.410749117906015,48.971937821774866,44.65690065228239,47.74588872477725,45.45266315136997,47.3596041881292,48.19483965961517,47.02401190014256,47.97919680637066,45.5909057035154,46.893142789782644,42.276965184266764,44.078432903533205,41.41507787883024,37.622463292053794,39.569481457660345,35.299066748978326,35.40216525770568,33.412440794614646,32.5887522801942,33.96938476342382,32.2973019505768,35.705600056462266,34.395916713734664,38.954105692383784,39.299045013626284,36.02030126300987,34.2108141699191,30.104385317017552,29.30153058451156,28.639234862010763,28.736648614040142,29.285230179928533,31.673549556892134,33.606383163682565,38.330208122644684,34.73818647605893,39.00723997900758,39.43508682972669,42.47142454316453,37.348161831779855,34.92100368931825,30.617783574123514,29.909644887883303,28.49206855251418,32.62795843160637,32.030584220765626,36.53767867251315,37.95792009263873,36.5063930911042,40.122450881937425,40.51083399415298,37.420979194947996,38.221416075699565,38.14275823027505,36.67266804035465,38.12441515302973,38.96559240717631,43.16939441218043,43.24055166032325,44.397002271527384,44.77758295371862,42.44014881533837,42.39617830685682,42.721372178213365,41.11838427748028,39.19543768053779,42.333811573892845,38.58422684777,43.31559305433093,41.38848731779316,37.228820819415,38.72290447086987,38.2483317552684,35.21014534046854,33.01553017266198,34.68252603423381,34.96697077292583,39.67148263469325,42.51270156836962,44.78155952163887,46.69744342572877,46.21549170052931,51.22798749084732,49.53647382258554,49.998588241511655,47.390002593699286,43.73321519951033,45.95140717879236,46.94492993396891,44.30089681041531,47.647875229942436,47.134253319126785,50.258599917225304,46.71015903275748,47.57655707944511,46.5077525977694,44.805887429891115,43.21920043472218,40.87068541656713,40.543611100356785,39.18954845343222,34.82487766353101,36.47012405093973,33.641697620203125,35.07246028975035,36.976599846810586,38.25874085433077,34.67563850769537,32.720136268465566,36.48156320111737,34.88390843179002,29.128634223163235,32.564022350726695,37.28964947557024,32.2410327514101,30.712606484585564,34.2544110636774,34.43502086928149,29.53300345342069,31.100673403628054,28.99377921961699,34.401726309693665,29.358852543284016,32.128452108675376,36.048712414881464,39.14497917648819,42.165318677716016,43.54949271726992,46.078483567362454,44.9228761148721,47.87737401786147,46.63615879197583,48.87056651627121,46.326716125504106,41.26983137570776,44.19459139823494,44.88915509727627,40.28131355223102,39.24274331654303,41.67468259308015,39.098679211862176,35.13033181160684,35.90683493347061,34.88062213570899,39.95717048697931,42.69670526985373,43.27452809194561,46.59106009440189,49.84810811854446,48.25758577308108,43.67731647272476,45.8371625769371,47.809717714501495,43.256285865238695,41.503629698365565,44.78087133107688,43.89350550886104,39.91828655404198,43.30480216978559,44.893333756389865,41.20812750280325,40.31959069062804,43.553312354942236,41.18337760610373,43.84642583244384,43.14810249936186,44.96137478803783,42.70603010535878,37.85619515253178,40.315518936586976,39.8146315098376,36.611258212256935,35.03288087030114,38.865126063935634,35.99457395461549,31.33514630690106,33.3177266713445,35.81116078598033,32.220503665208135,28.804963757836877,25.542412885374606,24.872182916123084,21.32326482003454,25.14700679392287,22.62801976334787,25.95939753100047,26.034783216739278,21.637750849004952,21.305201997548682,20.38368644209788,21.662014852710087,26.259770134938563,27.07685429946478,30.85295317168129,29.92641915399457,31.240947955245378,34.14831239355951,35.299871779163226,36.76766023357536,31.648642714370894,31.484137635749644,34.661556955892834,32.254184786196056,28.209741602515933,31.284335382049616,34.66996257219247,35.59193799452798,38.73857417578516,41.07375574354548],[29.31443993588091,28.14040892421131,29.043814579770892,24.94786535713996,28.479051633602406,31.18578104688802,32.871831041565585,37.44264910504595,36.84707648775292,37.116826292342985,40.00777201379714,43.39050377297425,41.73634603329408,39.172402253751784,44.329377086946394,45.77581200456324,42.61833633528256,46.02609041098461,45.76921945053662,48.66673641577363,50.34610402526081,53.197804365617166,52.78880038047328,50.333856833078144,48.93831459028608,45.78975674171328,45.03597159780947,42.88709826117179,45.69645582675096,46.94588070499742,50.52761683828396,50.91575113551458,54.76879820212265,57.57916765490693,54.83386927369804,51.9089961634905,51.47686304460743,49.74763150162455,48.085457860573825,52.531173550579176,48.35021111214397,50.32586230264662,54.51156368936542,53.12986265356293,53.165943627699974,50.929720693514206,54.79146222591438,55.66027278867999,51.36152918193264,54.44742763629385,58.2933232048736,58.52233749166954,61.82115944111602,57.50712664241902,62.161152864856476,64.27487467676862,60.51395900323257,60.94712876787997,65.50710824490099,64.57664978692566,61.00000199920685,62.732377061449924,61.600693893744776,61.798884279138456,58.96760677706269,56.41604253849226,53.11998085435011,51.62554169576425,48.07414868875763,47.39613105439572,45.48534762576309,47.313961250996506,50.4100020716258,52.77401654104522,53.658373377306106,59.87288452253425,58.322725770734806,62.02832095046104,60.581742440347426,60.6641378793136,59.24095980568755,57.573246152155335,56.48964692150182,55.27682888355327,51.65162170500209,52.169991769839015,53.79668014664006,56.11029532688994,55.19035803939237,59.558190640153356,56.97390563814757,59.8402052063658,57.007787819674256,55.806898942559584,51.22568834686327,51.81379977374925,47.543609875499996,50.798515446988496,48.64132563054631,50.76377435276252,51.38293644360032,50.366310807047135,51.07685832830818,48.80222021908602,49.87984521434201,45.36814119786451,47.17409179184206,44.37619016594997,40.735496224123864,42.81036278675641,38.629835805242905,38.51925867548454,36.62868161900406,35.508958819726736,36.777139653656754,34.82847473977148,38.03932621534572,36.35595363256667,40.776032108565516,41.51024572457091,38.216896129123626,36.68044541958098,32.46319724393175,31.976003209151607,31.64909287706485,31.627120736714605,32.57135701875855,34.72460863050267,36.629205010791416,41.20657305816743,37.44424182883627,41.68265346357553,41.84722800469994,45.09642732465239,39.80326677177239,37.50643398054256,33.08834639347304,32.286934534560544,30.731661889938128,34.854005158709796,33.74089090672623,38.03336917396385,39.76492177050291,38.58424196975601,42.234899563261834,42.92826612068389,39.918081461191164,41.02198434010377,41.13415775638256,39.87564431821458,41.50721585473022,42.46080537098007,46.740878246955276,46.915782270842534,47.93977411822703,48.23191354108064,45.75170668124384,45.72423039939749,45.831731441494625,44.20016491507379,41.95279017158436,44.93246152010207,40.88661493210806,45.59579568431327,43.4857589263707,39.00833161304827,40.57481914681168,39.72547968104319,36.859218057171034,34.81335859579019,36.74172959743187,37.17266344111913,42.017036534703884,45.00430147180776,47.40345918867421,49.52835415647135,49.075853621818766,54.109796580724506,52.17811982293115,52.70286401437679,49.82902339711551,46.463617883820774,48.423866231394356,49.1984155328819,46.50906843037663,49.69252285555962,49.1451483347361,52.015279898743294,48.16613776559744,49.15031916373411,47.98301690847464,46.59068333779467,45.01940649960726,42.84515387847717,42.60725077494513,41.27175516303758,37.061276274192295,38.946947370699775,36.32907495479497,38.04524736113583,39.944324995568266,41.46813692033814,37.942069472084334,35.87631103996458,39.70919175061432,38.337738944552385,32.514461815628195,35.87689638730252,40.75506977940559,35.86493462576437,34.24841783190556,37.76207253091826,38.11916415282134,33.20890173887354,34.601622946895844,32.41043207480123,37.69635689700673,32.307740672027926,35.21652530006929,39.12175440566955,41.9635267485247,44.91746963863613,46.17204202577399,48.87227011095504,47.698417355205635,50.6365905094188,49.49858537555189,51.48235260361107,48.8558291008009,43.97162118805658,46.79999338194584,47.17728588980323,42.61846997985486,41.68327216002398,43.88620332753134,41.06856705664797,37.300986214836264,38.101145347084206,37.492509552752935,42.652541624394246,45.38660447912852,46.21071875236982,49.601073857803506,52.983263927729766,51.45679658766077,46.824935433733074,49.10301250985822,51.200710397392484,46.66978528960817,44.90944666977362,48.29936227150502,47.508008181692176,43.50684328067278,46.804814638905434,48.49998915086755,44.901344862979286,43.87336136601138,47.0187030342443,44.550875643005504,47.12644281353483,46.399364387891566,48.019139929779996,45.79374676711283,41.053271441602064,43.30227018556908,42.6532627032401,39.54671302146354,37.89664443619954,41.41543328999967,38.49850712870976,34.02987680512634,35.77607995950538,37.96927632525752,34.40425447845925,31.147997975129236,28.253274868599885,27.077822508147886,23.913430405879737,27.885560558825542,25.83767227461299,29.261104581788832,29.645729677460135,25.220042573241336,24.708208248186203,23.445430516790445,24.704452593116265,29.247423575829856,30.29935453434104,33.88565403544213,33.076186976651975,34.72963142872253,37.71194415183107,38.96173086075677,40.479628071633,35.32877108740551,35.28095095566425,38.486658933373874,35.97154497639901,32.028532982543474,35.15058396402839,38.51394709835136,39.392164132676434,42.52162196054475,44.86284122804883],[31.946941994949874,30.360117365059605,30.520546717178313,26.17934538314779,28.834004184823353,31.92531568749198,33.016305893962574,37.671131832180386,37.02199879313716,36.67248846277179,39.60002393464153,43.2002471286404,40.935142383428825,38.28148750467362,43.342665859391865,44.67620492454894,41.13132737102454,44.20113132424402,43.414419017999826,46.294023517121985,47.64016226421138,50.32831856299888,49.68168109359833,47.01026400469014,45.87390981811474,42.953408509510126,42.47108886071749,40.70337765563792,43.85510835651016,45.52692665594277,49.12591956705735,49.829785170568684,53.77609243366719,56.231968164913106,53.3630619274308,50.15211755881519,49.96324344554487,47.66719410263809,45.81625620059197,50.06817397782626,45.601860334053264,47.6323938639048,51.71131187954423,50.21333103409734,49.93343974927577,47.62472611890282,51.39029415156842,52.54225119882855,48.41860454661906,51.334031533237706,55.31737264252802,55.76414252079992,59.079218328276205,54.930842505335,59.68713617059293,61.518606509937776,57.68347597054856,58.399947131858546,62.878983714271264,61.640706337766154,58.16888749223075,60.08580630381237,59.20036190625481,59.06702760874343,56.14817393402326,53.87363256078867,50.57979358411008,49.45588493143421,45.84996525676025,45.60878637626322,43.550139201526164,45.372658577235555,48.564328336859305,50.561445877172645,51.72900984244787,57.821091378739375,56.15425622882664,60.06733322517403,58.5367922709394,58.42049263943346,57.263008264291805,55.432995044672175,54.76530432035755,53.32261710828494,49.54838345261404,50.28065112552871,51.648389538133756,54.363120149168005,53.17392963243312,57.85822219364042,55.245930610791724,58.13628650679675,55.55521119869771,54.64522956106365,50.185163765281494,50.98332918054511,46.81042433109937,50.14303101600308,48.22178793240954,50.786869495320715,50.80497291464274,50.09669523812212,50.25103707485974,48.26908460525132,48.977794872906514,44.73208702612196,46.716001385134604,43.81746174419581,40.5053280016446,42.627127643042996,38.61009194475013,37.912738507069406,36.190182025982764,34.485532512987405,35.583371698838874,33.19407202713453,36.099228594408174,33.9138062213844,38.21071320118337,39.47629314750332,36.26441858808801,35.12529868366099,30.724926134086015,30.672682391401096,30.91363243325463,30.621034914661948,32.42518640841011,34.093321509099106,36.070745236022155,40.34249383673738,36.57745652528853,40.86607735017496,40.498625274390925,43.87401186856427,38.313908381911574,36.07268510909809,31.722077404057654,30.528835845148045,28.710570944484143,32.738943617153886,30.95395189648208,34.94172482311171,37.027530679094355,36.19918115574216,39.85590887719919,40.9859834740118,38.12535527928204,39.72043707167172,40.17803636865813,39.375178187926544,41.40963651218595,42.68464574784044,47.133483375440264,47.77726484524386,48.37615747538188,48.30982614766571,45.48462434304135,45.4502814857853,45.07673614889263,43.420008451512004,40.59428660694146,43.2471435761674,38.80280094557241,43.442374637329394,41.17745748041638,36.357747365413715,38.158391759289245,36.95376318326378,34.43631623717595,32.40031475940712,34.65944715633756,35.11911453955248,40.101841668542704,43.242780027072776,45.779420988940544,48.24412367235651,47.80376145157574,52.8626667963803,50.54006562444816,51.21781109154383,47.98231083926081,45.14942843593365,46.82770061095197,47.34266926327717,44.51711246593291,47.32959995457319,46.64081565604449,49.24971397767776,45.058539149478484,46.2918299772964,45.14983744674164,44.08213294561566,42.74301593818511,40.88250603055664,40.924246161480816,39.88471698217092,35.83820325293589,38.19797121074186,36.0833775042583,37.9527989419684,40.26624150901454,41.948348357902894,38.38517994646868,36.623788738358854,40.73050562412891,39.49872635629124,33.790341295218006,37.41890870345886,42.41213654649171,37.709675030084206,36.369369520204295,40.06681715678912,40.41438514699106,35.74749569571321,37.40096947117057,34.9714809160629,40.38681245477452,34.67508162163196,37.253416125092485,41.318854194754,43.874734070079406,47.12296978993027,47.95009032782455,50.39135263494706,48.85550284632869,51.5208180998541,50.110799104454216,51.86778558904076,49.507924244316484,44.53438866865473,46.96400613790896,47.27168318006891,42.894725029985686,41.688704828806834,43.45280231806137,40.8606300891438,37.335053616160025,37.456385633741064,37.5246089478919,42.3333952822873,45.242923753285666,46.558546129431996,49.8034517469407,53.50436942061002,51.75572730403779,47.161379621060185,49.95857211439656,52.01071108118807,47.38840755084536,45.98979598262338,49.6565494644791,48.94455753014461,45.06630964821783,48.53825820662436,50.41116653797683,46.95246861414145,46.039452042101594,49.196012571685905,46.57417305833387,48.836377331240044,47.70736528431477,49.27576567259508,47.501135910557885,42.5990860939079,44.40074077055364,44.0427464060096,41.13075425140685,38.92818635467302,42.406367978445715,39.94586234712388,35.325863466857264,36.45808652465698,38.86574805847804,35.73679393593754,32.38666859295373,29.680035348730733,28.68722505092478,25.89228708265401,30.2696501621719,28.202160275242175,31.17357996597766,31.60592133722394,27.432987746288777,26.414254885156858,24.95019846229373,25.567872768225325,29.953807272943553,30.73872995670859,33.89945754102617,32.93414957254024,35.54460997688049,38.46592705092716,40.15461679627514,41.5396191615121,36.28058021891386,36.9114881966569,40.08366539632383,36.985855632011315,33.63462007066656,37.22881982201593,40.403659191485886,40.89639962497817,43.8968877338898,46.343542193972745],[33.87071796461049,32.43464635521121,32.75318783602919,27.96690437328207,30.909397926641923,33.34733506026227,34.26449669883079,38.85153280860572,37.65997177239493,37.09813777860053,39.72510705390327,43.530777434767344,41.40830874256983,38.30996931205545,43.263456140328735,44.87959647200213,41.38926170593754,44.236316270831196,43.25779491420884,46.48513085580289,47.620833402583635,50.54930641551093,49.65929922697768,47.041183385466795,46.185710802112126,43.10608853173374,42.98061668551172,41.18126331564886,44.28522679993042,46.10017780328687,49.128177507409035,50.29448880798743,54.04294279892835,56.40458766971087,53.786495516330476,50.53094778873965,50.73118603316473,48.40876171874135,46.760400253695316,51.30711250669705,46.6437747044184,48.230110668719966,52.38651270420491,51.14063830814147,50.808561816605554,48.750839499230096,52.53504989428773,53.64252763502138,49.76703402259629,52.94505725406223,56.8236734532207,57.34625483116409,60.48613919525369,56.2262711774905,60.94122616705638,62.59192317419915,58.582036803417395,59.205449088257986,63.6489242630158,62.329659849108644,58.623204256241195,60.28051445565911,59.287907262465524,58.927351598934216,56.236297503541834,54.06014453596921,50.33571967837935,49.27613010860566,45.3429946767538,45.065190026443666,42.793130581364785,44.2625541148367,47.729975881595806,49.813472425977466,51.31863559740162,57.3913801330405,56.110765812459434,60.07338442525822,58.83054997692262,58.93593694894925,58.085390813112696,56.527834542314125,56.06664326318064,54.88913655764001,50.985700829137954,51.44582663354619,52.45882069909126,55.16414488115408,53.56567815807904,58.11924188317955,55.21609015717122,57.80030740888651,55.22649395540364,54.46128902228433,50.07156874999258,50.61250583127403,46.5144828957456,50.29484893188148,48.60105728825751,51.41799693384734,51.57465196730709,51.340686004641135,51.47701111710507,49.923630668467055,50.99211415444703,46.83552128352581,49.1545197578894,46.48337996183036,43.139712711876264,44.93408406123863,40.75518845990736,39.77815965265381,37.63399738098099,35.85033637547234,36.35316001577384,33.94280479560702,36.54851669089216,34.28695250845294,38.10520909231597,39.43377273025172,36.08348764007281,35.136863521696895,30.963514225072675,31.274427330884418,31.80307318977945,32.146981442507474,34.352741111935885,36.17312320395868,38.47268441952459,42.77449376557869,39.408352879844806,43.84530867770014,43.37387789700771,46.479954762914765,40.8711574947354,38.29864801770552,34.344439760634074,32.5655301826374,30.31227092270679,34.21213385844026,32.00071234348729,35.87478361668177,37.75720628951046,37.17821310411564,40.89848382491075,41.8829758180838,39.126430513956954,40.774689111665786,41.52878744404815,40.545776935887645,42.88164265512445,43.76277820787276,48.426554598022264,48.739653356919895,49.107278606393955,49.27322896404449,46.3934222171075,46.767000848007854,46.17018255099487,45.048476599633595,42.24028745940706,44.5091779207251,40.23212292276048,44.89196672817554,43.01733687340131,38.25058101348226,40.48974791594712,39.39298169521941,37.1479805150055,34.792827053559854,37.10244123289634,37.16448378633076,42.101725243173306,45.10927511935703,47.432817667417766,49.908929409582036,49.07231588322005,54.32688924129162,52.09540109933302,53.024656527513535,49.92640724849601,47.251159584979945,49.235922840859466,49.860063553846764,46.86869600307591,49.32732185125753,48.256870402392494,51.0817801784095,46.758854612642914,48.39810670488625,47.53341566130089,46.44707703145914,45.478916089155945,43.75471415294231,43.99305914600142,43.214187250297506,39.09710149648705,41.53365061932412,39.46489472964967,41.00834206908333,43.585771668598674,44.96528050352228,41.249730361078385,39.836869733145434,43.93693250965251,42.34953747547209,36.79135496942523,40.592477270211816,45.35771297319325,40.34842281415273,39.191030566247335,42.90829165307761,42.87938528680901,38.17979315018867,40.09042597924082,37.89217527655123,43.415333363766074,38.144349683163185,40.673752023006614,44.73218240882621,47.55051662694388,50.78581644416682,51.782405711749924,54.13029776015693,52.60226935067902,55.25394778676445,53.68300737285742,55.62600767476079,53.39118871442608,48.24936618508901,50.65614737497916,51.2056316661883,46.83477473380329,45.46797745972129,47.257226550724994,44.90818692838924,41.31605081318021,41.16289912438837,41.138435989256074,45.68541576214045,48.70953531363468,49.94807227928468,53.023387570779356,56.687853496855354,54.70374153531401,50.22085629387225,53.06283361392886,54.858176292302296,50.12435005591148,48.91647494753239,52.440002472255216,51.5146139960997,47.739520392919786,51.42400567249642,53.07811020171638,49.399908929500015,48.81017196114238,52.12271502445102,49.673683882004134,52.072560756593035,50.95070946510231,52.75633367725633,50.964561306846726,45.93327496051645,47.934878726046996,47.74011481835988,44.73781967242391,42.56639350168488,46.30450433521271,43.87040122142008,39.11561689945262,40.37251229841559,42.97848985414695,39.822002083561024,36.3862154475255,33.428671223616,32.69814255633604,29.63418608069842,33.86123126470577,31.418347047833954,34.357014848753664,34.28476398381004,30.154599649461588,29.43361382308165,28.369909763827863,28.90059018559437,33.34413682190378,33.63875634798069,36.89656772916521,35.49211751924981,38.10321594528448,40.73018615564343,42.44316600964095,43.371185980986084,38.14628072520993,38.85631118154239,41.68683477667676,38.37583508727799,35.19192848309216,38.66521551580042,41.51428418086031,41.98648142282411,44.92700059632769,47.39102950394535],[38.45496908695746,36.872648074205145,36.84807942115935,31.989360111311065,34.40282271081254,36.99032391271327,37.49503551745454,42.06602412900942,40.750303200958506,39.69806458186132,42.23041243836494,46.20788024407019,43.67446254693555,40.423859700324655,45.189585364955875,46.77622968599026,43.008840499847345,45.42994317060886,43.865752602289646,47.148471596986504,47.8394054678737,50.62924658243459,49.38833551322669,46.55342952490937,46.11753356811661,43.295080663501096,43.58132994603355,42.19993599603723,45.5818616340162,47.80279628093144,50.646476065974355,52.21528658538769,55.95403584866502,57.95574310340845,55.321522298941524,51.81866586936986,52.34432792430954,49.499835545765926,47.726992475043964,52.07347051233288,47.118571684016366,48.644350802033415,52.65312403666339,51.3427337804509,50.624646931838306,48.54526405013712,52.161586739316775,53.60820012065744,50.02410345994815,52.98594731777447,56.98199307786609,57.76884710540275,60.87865776249294,56.826926109034886,61.60272042204585,62.90002517374026,58.80701074498611,59.72042392504399,64.0309066554185,62.355359557012534,58.73973868439995,60.51500333543319,59.76134163910189,58.96670052345057,56.27659983772181,54.457763363967004,50.624968300605985,49.991253513952316,45.9261055274795,46.07426365147627,43.59845192843506,44.87783747897969,48.52596037188943,50.25133478647597,52.167742355934266,58.05437240326195,56.807641716451975,60.96304859484493,59.736422709134864,59.70149990169133,59.20114408888581,57.550802066548606,57.537157885474095,56.18387815273227,52.15713652799425,52.77951365981262,53.45302555775779,56.523641537589015,54.57438113928981,59.35677148506734,56.36032271796155,58.838002145830345,56.52441367364464,56.07912130673833,51.86055153647782,52.48588293008788,48.536963564141914,52.487704257578685,51.063313394672655,54.25215286753078,53.980121536731716,54.08021576712187,53.77249277072293,52.52955335729142,53.32113055103081,49.426925049958726,51.870982552613796,49.13816843457171,46.077501200064724,47.89451363677104,43.872473382537365,42.459933150525586,40.42853067898605,38.20661935002663,38.446808698391045,35.69378830831018,37.88279918080278,35.14062570294925,38.58761356183195,40.4698622344768,37.21395914706038,36.72885801258404,32.55581060117527,33.343027319437375,34.384899046728314,34.613358723163685,37.45503178386903,38.90437853152749,41.23105029594085,45.23556126578985,41.89222666330643,46.294824060799854,45.38786760012667,48.588477445894576,42.82168195814453,40.34348874836732,36.515093206931375,34.42847495105671,31.95047491053753,35.64347746971691,32.71234322978595,36.11416205054891,38.31701761461406,38.18547586949889,41.85652801934806,43.23333491079992,40.68568088017625,42.76126546846027,43.84797154917689,43.21098843134798,45.86415942485926,46.90184047976353,51.67666316796951,52.23614292904399,52.27496321357616,52.23734335660095,49.118601494383235,49.556761672904706,48.55233877020857,47.50463935179151,44.24599249140085,46.135888394994446,41.56844678699974,46.08985956682979,44.1241032428392,39.08277179850079,41.53908428462358,40.059852927344565,38.23050448479429,35.96704653020386,38.562695157262716,38.64822649812704,43.6302170400585,46.732075675989606,49.13473329097879,51.89096697881855,51.01827175210866,56.27289618828553,53.72150040007416,54.8096545952361,51.414854122646545,49.27064154012642,50.98085502210278,51.34474747422688,48.26064970380077,50.30182757520931,49.064801224385086,51.579761989618056,46.897336003143636,48.82554649756292,47.99041739972273,47.297023796625055,46.56443368926201,45.176543501533445,45.655385727031636,45.106980009950874,41.21722799953807,44.00144593264691,42.33221931328259,44.02888597028902,46.814803931777995,48.339434639194174,44.64995289826887,43.385012649977554,47.613658508680146,46.16963989400622,40.69204360480291,44.57002560511059,49.40937692046085,44.550422203988504,43.49864855435536,47.27445907926921,47.28438956240174,42.69926692911709,44.66310447743673,42.350035375324346,47.874030217149446,42.36531650350077,44.79652012737004,48.90425656239234,51.48907449327408,54.822224713832654,55.5624360535486,57.84645662796404,56.13923834779942,58.630473318987455,56.960983111321326,58.67355399990973,56.56427150160277,51.47753361309407,53.61174991791789,53.991392274040685,49.778943556699396,48.31852860023753,49.74868617110594,47.45508150626414,44.12214257256339,43.599674295998135,44.11519881719118,48.43718835154531,51.53395169353807,53.12939443548963,56.120328698806276,59.9868485959152,57.897202706390935,53.4546540975983,56.60733866203597,58.398127934742824,53.64245962715397,52.642325864875644,56.32248590986838,55.46016989962615,51.76111060029713,55.49832872175612,57.25852242632853,53.673765994011085,53.110816214165425,56.39653152581575,53.853444755425414,56.06913008612068,54.742267643993536,56.44936120317848,54.89780145779617,49.8474008865109,51.546685923077945,51.442449535683245,48.58366903810826,46.136276962089745,49.708092422468205,47.490995524098786,42.77474281364493,43.63752560924491,46.201580035307636,43.29017942083728,39.910022076141196,37.20470632366968,36.368541841660225,33.62919363014806,38.032979167348394,35.75481846652546,38.52950461053353,38.56609018633708,34.55568811317112,33.59042014838478,32.35052796133079,32.598689565222564,36.88969419000052,37.115015968085764,40.047083196707916,38.59076634747737,41.78553659808899,44.35779713047724,46.31597916958114,47.14446834481357,41.90076081649125,42.982010690714674,45.75368077496203,42.12071177129211,39.307331778883764,42.9755558817553,45.67356816309132,45.936099920827374,48.77192888493121,51.27782864757189],[35.57998956285345,34.05205947132637,34.08094131250861,28.875047325864255,31.557713229724726,33.494410532360355,33.92429755883017,38.391122630309184,36.7027556001331,35.657200891153174,37.98866183246532,42.018544797696386,39.771079636473885,36.288823683661526,41.0306419491929,42.82491399679271,39.276349828599535,41.762290278508075,40.456332205174476,43.95935641663676,44.81106345028844,47.902685009737795,46.757370389538764,44.184201366808004,43.630264856465644,40.470683710698395,40.74449605758409,39.03903339272507,42.164895497444824,44.24016827321738,46.72802415720194,48.41802342776379,51.99319404761843,54.11154729342081,51.69236214795504,48.32503567256825,48.96911270856536,46.46210127062827,44.97862032632848,49.73257422902447,44.858181685652575,45.995556978799556,50.171011290953224,49.1632019648193,48.74404280757084,46.961895922268305,50.73039463216667,51.798491182426716,48.23677424922533,51.66237431842134,55.40726979463412,56.03002215877867,58.96168394393274,54.64290452214144,59.3028048053977,60.706403597676136,56.53636530095854,57.116843309993975,61.47958586276521,60.035268059037904,56.14504210609111,57.58906566084734,56.56341005856774,55.92704088192171,53.43614492695712,51.422867815477424,47.342939335121294,46.45006450004607,42.25467100853234,42.09536540470849,39.61822006178078,40.789077250047164,44.476758270715315,46.49301755810015,48.35540666875353,54.33102826329284,53.35259809715333,57.39628456079671,56.39127685036756,56.64369828101893,56.16308967632526,54.83900680720078,54.70781485912949,53.74558891211713,49.70385978659069,49.94086084255123,50.52175463920161,53.31510804925846,51.26198607053555,55.76539300000693,52.61684038533735,54.93182597339722,52.47354556503947,51.95051117467406,47.70879567720813,48.12102442788454,44.17182217543847,48.326153019616626,46.9567685272766,50.176126607083454,50.17635470784369,50.52436711520283,50.40508513606226,49.410218533074236,50.692575236225295,46.77939527117295,49.50199064030995,47.07682109534355,43.8706723108941,45.303690502181034,41.088205681290034,39.58978173970655,37.13584269759643,35.06821360755409,34.91653036358636,32.37047840313874,34.53037282739826,32.090523697870495,35.357630104583585,36.88202724463772,33.48818269214342,32.879965101797794,28.941222312532865,29.755310564867663,30.780874276290348,31.620973524042995,34.53373676885475,36.265405675033975,38.891197433314716,43.04149489324839,40.17918344489219,44.74426678948471,43.99011746858887,46.77520162492978,41.10675770298296,38.22075303979574,34.81121858210268,32.30668067000879,29.57182334888032,33.20819826436738,30.44401326677792,34.072438926075236,35.773907351169164,35.536353121047966,39.26127395252641,40.20806724699177,37.644053695625914,39.48872654425407,40.653947860699695,39.70325678744936,42.47288512072108,43.122326845401275,48.00754217339159,48.26289453985146,48.19035360943958,48.38200780188605,45.323292255773715,46.072820262299196,45.060806730144904,44.46800604411395,41.50329539709265,43.241137999801495,39.0780301453375,43.67577633177709,42.20803340387105,37.50886854092411,40.25856202379809,39.27095026563477,37.43846220847832,34.73589582130763,37.121094842545034,36.73483865905914,41.57354667384389,44.43730516566387,46.54742546831005,49.11933493148883,47.896913915860566,53.30281277024895,51.05495043356077,52.28599083585895,49.25994837772325,46.943146013916504,49.16256449786136,49.84312975503053,46.65783746488167,48.60892278523349,47.099950042621984,50.09751365465072,45.63637528315488,47.75114056648322,47.239302175377695,46.16671409770097,45.70173967633293,44.2211278209899,44.7656688196799,44.40655525727224,40.290392515569756,42.930899411065646,41.12563510414007,42.30788912079673,45.34633225964115,46.417213224260436,42.55847845395802,41.712689377905726,45.88940077147652,43.983279821044725,38.736763923103155,42.827169918822555,47.33910721706403,42.16324957150056,41.3882696916194,45.20016074343893,44.75852794578802,40.25001558135219,42.58770666949691,40.50609480211455,46.189131528510686,41.301491114086794,43.51362567623879,47.63091464255154,50.605904409869375,54.015811977549696,54.9670012244043,56.98388508995926,55.263926474468704,57.73502551338216,55.81342580600637,57.90490875958168,55.994478007822586,50.5952174594552,52.776304379146445,53.65945055360713,49.40312464842181,47.693396599455625,49.3517270210212,47.48967945719426,43.90375034902243,43.10500566565885,43.187783354317496,47.2022476535764,50.41288806129859,51.74450998211679,54.515904091249084,58.2518851178731,55.89768876196431,51.60229827756894,54.72146176543481,56.17934988917537,51.31540879070474,50.51965813337593,53.999813653452435,52.89291889449796,49.33598681842058,53.325841135935235,54.83068244016623,51.035573249929236,50.87419470390039,54.34538500973924,52.020052377244234,54.37247565688817,53.03480847629083,55.101643798900234,53.56353054113086,48.30860487321277,50.302325579233184,50.496164901648726,47.5062097172158,45.089256147358626,49.1504830278756,47.040454863155645,42.03131039820639,43.141286940462905,46.165820702813946,43.23641424547795,39.628262323600204,36.43891144113247,36.24196278752181,33.03718298218655,37.25685462576705,34.34104067803121,36.90979429368061,36.310882116001785,32.46602188789108,31.78269125248252,31.091329355980122,31.185053044219785,35.52434603627197,35.12236252192325,38.2377933829605,36.30575202026675,39.306990608046924,41.55326963769542,43.494958204997864,43.88211444990033,38.7204741375292,39.87026045472609,42.31079098696966,38.529012392395806,35.9013237949619,39.48137584893102,41.87501295590013,42.085397266859815,44.854781326832594,47.37166447330997],[31.755842769530044,30.065563157584336,29.956063740254386,25.00080133251815,27.554159842834764,30.017059437309364,30.661525406884717,35.250099519535276,34.05701939512147,33.302474915001895,35.97725426639353,39.81010828544738,37.50185751183462,34.450380041039,39.39902812226345,40.94072087266484,37.38562080492818,40.238685815755574,39.2997406977027,42.47434462742895,43.68429049304969,46.61689540778963,45.82017460450901,43.264518509127996,42.28869995516925,39.16265337193955,38.960820265914386,37.12732101642121,40.23649629034673,42.07291784271357,45.17517155572164,46.321911565055245,50.10942353791786,52.42923308395186,49.76480816909706,46.492343167316115,46.685318067515304,44.34695369900862,42.71327520236343,47.31172795310061,42.67593680594082,44.23420815260871,48.41700916168996,47.21133737045026,46.979960132058025,44.985709824824035,48.82873714328226,49.80494998393903,45.908136816004685,49.22413293743603,53.02366882511841,53.48993916779149,56.5880599831017,52.26431575214202,56.95958313178334,58.647663313832645,54.63572325114819,55.19617099570453,59.65908066889137,58.40600045434355,54.67325038491316,56.317930351773754,55.30674114832398,55.03143395560092,52.315957168689984,50.076642690553186,46.423351717289165,45.3207871310416,41.46742762480832,41.20752828813329,38.99806310733728,40.60934451158848,43.96962903916482,46.02214021893475,47.421409520581456,53.504425941116644,52.13429792822317,56.08668455804143,54.80053424883246,54.895491276991116,54.024003725409706,52.48452444916901,52.032334283648034,50.89838203789807,46.98149980217204,47.39822602061981,48.40178550169922,51.10342248433452,49.5223285707214,54.09989219848158,51.24163131756969,53.898449730923815,51.344841210474016,50.58416256851708,46.20014105599941,46.85021041081753,42.757358900260805,46.455574605225664,44.79274652950612,47.7163268916219,47.684934602345976,47.53380783908916,47.536116706858635,46.094486852442785,47.16638321892054,43.09054152776128,45.55107999591964,42.96523441297597,39.695591403763906,41.366610279198724,37.2061097560081,36.00287977253278,33.83813538723657,31.917778398022538,32.35891845491276,29.894920823563453,32.49193358718498,30.25071619228228,34.14865553765759,35.439551935827744,32.11494811452134,31.162535020893202,26.937267712094595,27.276501189042392,27.92047495774062,28.256323763583627,30.747891331328063,32.46549310565415,34.87767645339156,39.11529210604477,35.956085620038465,40.46732124020154,39.897717189778575,42.849853205990016,37.223238415521806,34.51570846283897,30.761631841374815,28.723779201784232,26.350536586756704,30.22006834340882,28.02621344320881,31.9783056476175,33.75817540924041,33.1391788462461,36.86574425746272,37.81941284323839,35.07078402640826,36.761856087147216,37.5908982383444,36.69928136084526,39.16902228360083,40.13620512709559,44.85372861715272,45.36898947235611,45.559250310312734,45.57692194644484,42.594119658383995,42.974550792250156,42.24562153326149,41.173157351987854,38.28962843184653,40.475938973643274,36.22623026771546,40.89376584868432,39.13510301974496,34.452089561421126,36.827922895531465,35.90621986180733,33.72371220668051,31.167724323318705,33.44109327018194,33.32444821890954,38.22940804634679,41.187888980971664,43.45982475923167,45.95752741760891,45.06814102577866,50.34303660846229,48.10028022519895,49.08677928391853,46.02591186147353,43.41083800416643,45.500451471042304,46.190776107653555,43.136345020811355,45.50347699157428,44.341760924962095,47.30021613035042,43.05216976520547,44.76233985067503,44.03940386413829,42.82388010927711,42.01989990638536,40.324556920186296,40.67088664560372,40.08770638447277,35.91924275148118,38.43269045061368,36.499582102137246,37.83669034429508,40.70427748951192,41.93039834100349,38.14045639251675,37.07000000810804,41.258854144521464,39.539811640683936,34.173076164738184,38.196661748804644,42.85186050383629,37.84168598799284,36.96737301770508,40.797344456508156,40.58534721537435,36.09726573954253,38.32180624799142,36.07540009596872,41.73929493228211,36.625123899795106,38.80793315459244,42.950796777548426,45.817234987975056,49.27445154903662,50.13633665843875,52.155291385392005,50.42503918368416,52.91351293112647,51.06932111753756,53.11601254129776,51.13874317454708,45.78305096252253,48.02162975797475,48.84636125197978,44.553524404145065,42.91229324662788,44.645779941395276,42.69061843397913,39.061615343647645,38.439244067808495,38.438937978156474,42.64335328889936,45.787602162546335,47.09551478296562,49.986795899235524,53.72345281814875,51.52437494323548,47.13462842219686,50.19423885974457,51.81971108301306,47.01259456407673,46.06714158451794,49.64209052129554,48.67087074572254,45.02584530154739,48.89764019850255,50.54959574103515,46.89142837989265,46.52275432362205,49.9120363033065,47.47540114430837,49.749611377442186,48.403443131986045,50.36241142220628,48.83342405577986,43.619048762136444,45.53059738692218,45.66525133507335,42.7070045915959,40.2660686727477,44.26408153068717,42.16289961666562,37.16365930011524,38.25165660481409,41.26450458141759,38.356685318263274,34.73638190043437,31.582843399345773,31.40937885143621,28.26386234508787,32.56882391106789,29.742320473487943,32.27288318718823,31.935335257017645,28.069020182384936,27.188405842005544,26.320844594644566,26.425438742581527,30.766279709177688,30.61698130603286,33.7497161113478,32.087365806254645,35.0302669326355,37.507515374056034,39.42372436970099,40.171616353651004,34.936211733907875,36.01637013328892,38.75290167697064,35.134191332630266,32.317464669724025,36.04084747526306,38.73837139581842,38.97478224201789,41.830058241173894,44.35363672597664],[36.4790831652069,34.52588480294683,33.868255744079825,29.085810641722517,30.7123028998318,33.721979749959935,33.872673693097084,38.45097850409214,37.39574974536716,36.073382149560246,38.78428040192962,42.7267082937367,39.75871205800635,36.76549098179505,41.507042713758445,42.83197685596178,38.851122430801574,41.24039560083185,39.594540045931495,42.63330065007763,43.358173727631055,45.95579766194123,44.825647858477694,41.92227287048554,41.34462405903943,38.666311319638176,38.8198838209043,37.59662950460035,41.137406190635524,43.46377266868837,46.65685193369716,48.08487008241436,51.97689918178049,53.853158519997386,51.01162871157497,47.41843093185434,47.8315346453125,44.77160193453018,42.83400672189607,46.984459100276624,42.040970556995305,43.793334065559335,47.7369224775167,46.288267290725926,45.55574945717346,43.37149416232909,46.99825224494154,48.46657529992727,44.80718739284404,47.69040401169899,51.72386677207586,52.51109533783753,55.678802301563174,51.69068273151679,56.50867473564449,57.82232934209209,53.78561574327659,54.80171242256951,59.11553786301264,57.42312471937237,53.94450956267156,55.914712789768096,55.29529367602526,54.568051547479676,51.70370615558115,49.88823059331478,46.349149507121204,45.795194105268706,41.959320535516035,42.31911789156285,39.960324232448016,41.544775342326155,44.97809849211141,46.48209403738566,48.233264264815816,54.0787263750786,52.507515377050844,56.70069912234682,55.25596720735913,55.021686261072325,54.44748504207455,52.614239222497275,52.66836855353248,51.13364327774869,47.10863563712871,47.91488640774304,48.6549878794221,51.877106356750936,50.0526669425506,55.03470360519154,52.225099887712716,54.92928820836065,52.729219278150026,52.321271890127136,48.132383962646266,49.05865613021866,45.13297160803469,48.78978394406434,47.36832873366556,50.65951478832819,49.9451856843397,49.989161046163694,49.37352431725858,48.12917843236367,48.605299496408286,44.8594788397141,47.31088283134872,44.52395925724621,41.68758077687283,43.558253501323605,39.72555743397846,38.053072791253996,36.296195570477735,33.79099161889014,34.199263236962715,31.250711677306917,33.424213712897846,30.52128671056014,34.21413645368557,36.25932161327733,33.15258999965101,32.742514525192774,28.3740714863384,29.192601229079557,30.414235786598752,30.21059051977441,33.3979596492615,34.480447956776906,36.747768800222076,40.52677742738024,37.19894386387497,41.576896930675474,40.43363030225628,43.65891510810432,37.83119321495672,35.43975612983388,31.66360269837378,29.486802895262993,27.024577471101892,30.66848326785534,27.64952127541319,31.00909426544909,33.39504971923693,33.26912791221587,36.90006899675593,38.50799729215397,35.995481284147424,38.272649566778654,39.406328372134936,39.117884082531106,41.86006210299767,43.26965634002415,48.00542445369075,49.05347829361282,48.91682461805534,48.513685148041745,45.23317955598331,45.46862570122529,44.292102822754075,43.01799651580907,39.48188934488482,41.34503424632405,36.5747154884227,41.039571012810185,38.92383353047068,33.79398788708864,36.254183808229755,34.72193157520137,32.985497565558234,30.716903614890906,33.391735736636576,33.52611970269824,38.531089240424926,41.703635199556764,44.21101691321012,47.10087830983893,46.38893620031253,51.54828828610437,48.80231056693195,49.87056492082209,46.31112624270154,44.36324719150302,45.89557716918528,46.15987554833283,43.058087095055754,45.03353494815265,43.84868624150087,46.26321359274562,41.57001487447583,43.46610674435141,42.633558250756586,41.97340150374817,41.30730033879112,40.01483313037119,40.60712555506232,40.229719876298624,36.4244666014685,39.397853497629654,38.02618738263427,39.73871811537129,42.76725648015789,44.345934937435985,40.68490258261481,39.6591493240595,44.01658349596569,42.686122431079056,37.388371729939266,41.41323604836337,46.26475572632788,41.643182680695126,40.82808855718339,44.71330037349275,44.74579042951571,40.449156244240804,42.60759026616051,40.09881683161316,45.69075075858479,40.05717544346609,42.11183008276625,46.31304788621512,48.722400111259624,52.31529274931542,52.73843507153359,54.69590717154626,52.70721611621715,54.965686783241985,53.054663103081694,54.68776196802355,52.8423030024489,47.647265988934386,49.50021754382231,49.98219571922119,45.921657054342965,44.21662687677096,45.42243880423094,43.45764037943682,40.23400219286008,39.19342605982081,40.01093805993436,43.99914921823016,47.18658484757899,49.03592082341009,51.8820109609984,55.912976289932125,53.68921083100338,49.31199750833297,52.78292389172423,54.527097033824106,49.75968070712952,49.015600852710605,52.87316443188702,52.104409874201274,48.52604141129405,52.35061214113876,54.25838514339509,50.855639266983914,50.361049906230335,53.624737746604495,50.977680262562174,52.91845954722913,51.28115486580066,52.983043777855386,51.8100853114189,46.645348654156564,48.025889337887484,48.21819804251293,45.51620692888791,42.67429049765116,46.309742067396776,44.52124722053601,39.649801302397556,40.11405193772725,42.98558567181714,40.45355472765318,36.95505435464867,34.279407605920326,33.85464155578649,31.294693450600285,35.892482307107734,33.487458483869574,35.79272707249892,35.85813818234697,32.15587532386124,30.800364066324377,29.500836537178547,29.243973593923087,33.303408267742704,33.293495399403064,35.887457257969665,34.38375562171715,38.150804560575814,40.689910501795275,42.93054894410178,43.77846508880945,38.52594747215225,40.07629578316837,42.8991479681313,38.967199492636624,36.589214474794424,40.620305786131915,43.274286589171815,43.236383262486264,45.96949648643534,48.52526789990387],[37.729210186809816,35.80363356247435,35.07109034776991,29.90774051328794,31.526790302487452,33.89424774934629,33.69244906050537,38.1199064941782,36.54391501089658,34.86033695739609,37.24076033415843,41.37222370478226,38.424437219517394,35.03057319194653,39.56604242363674,41.116248922340006,37.164826475507,39.23765509339365,37.34792106308052,40.71151479639502,41.19797574498717,44.02852027702202,42.663236926862815,39.85656540813824,39.56079425733416,36.72558761030951,37.26903309823637,36.05230467499542,39.535777865802075,42.04640942512266,44.63908463106043,46.56704414730193,50.24654453191126,51.9482121746972,49.35592233049354,45.70796445487115,46.552726044118,43.4323059094575,41.728505889186074,46.17075258437333,41.06029493399936,42.28723414366997,46.28684536790821,45.137482336141716,44.38878158003826,42.53806174918921,46.174865405944544,47.523420255460124,44.171553821897206,47.38552354099247,51.232078908501315,52.07325117837077,55.00439636895054,50.90166981100366,55.63567224040418,56.7475940422502,52.544706454393314,53.4391705060705,57.689931271978054,55.93403688107992,52.21506367400217,53.899693385811005,53.18003638451982,52.22441346987535,49.602624012422254,47.89777298620806,43.94797227757313,43.49038277987097,39.36312918460807,39.75407506700544,37.19336392672245,38.44837382711931,42.11510110432644,43.63267728400125,45.72079261356751,51.49722370903453,50.29153456037281,54.529177101958155,53.36995270443536,53.35122956667512,53.12066649035638,51.589602390611155,51.89871099329271,50.66730934037193,46.524404013852944,47.02327509110999,47.350050758641494,50.56784629501491,48.303714735682355,53.154036131665414,50.07470230053184,52.476356971016465,50.33896837306412,50.125808105145666,46.066914138643064,46.80006713589955,43.01191963120829,47.05965977412792,45.93075903703677,49.54395904093384,48.819921561086026,49.41608431811411,48.67349043729179,47.95848794509538,48.77298564319962,45.2156624935934,48.05399590686963,45.56354353718036,42.77787538355064,44.24561280632419,40.322420519714385,38.25373962072406,36.109579106776835,33.45592200860249,33.1855092441585,30.198366986852783,31.951400719690966,28.963855959590404,32.06395811818259,34.2105039493313,31.02888778051174,30.90449056767346,26.83845155178551,28.11183978143923,29.73325322492796,30.151034074431017,33.86334417795086,34.993129620959266,37.59545499478593,41.302045926220366,38.52359407934563,43.024404260816986,41.735219113578324,44.570444610597235,38.758805622278345,36.00486445480303,32.810592769342655,29.94857611260575,27.022774152480896,30.393341295943152,26.925175837510302,30.083151140617318,32.16782159407447,32.34071564003861,35.98116672481111,37.43077156841969,35.092073524297795,37.45825806930936,38.953335057611596,38.574236285905165,41.67729239383406,42.74768410667173,47.677217427449676,48.53156792675732,48.040086520899656,47.76226449655369,44.38027872570448,45.02707027170644,43.528559577525456,42.84136060434175,39.2946991395069,40.65748898961882,36.12274523632244,40.53949838056541,38.92547055684771,33.97472173790681,36.941598578199375,35.64217170217247,34.26655793676896,31.60854730185938,34.26220430855158,33.88409638757689,38.73677387169462,41.70409342964535,43.935242176223234,46.83733422256728,45.69500413157531,51.018024341077314,48.36040229237697,49.7202122859308,46.34232142718228,44.638948775598934,46.5116104886052,46.913283521503544,43.638042169280915,45.15369585237217,43.51538247211199,46.197986325175854,41.44384571083812,43.80827897913245,43.366178765448126,42.6274467231307,42.45379334312489,41.338233128821656,42.18037192432562,42.16989562042978,38.319572826863585,41.36176835133164,40.11379865775415,41.395876920107106,44.787970953813996,45.99328573791669,42.1895109039703,41.667641925184846,46.02557733693503,44.31729898589909,39.30242211155109,43.55114936510847,48.11053594752708,43.252488969478065,42.7460326171767,46.67668753654135,46.286634307832095,42.105226514626736,44.62152701985114,42.30275691731508,48.02606832491387,42.870470343910235,44.71454094276666,48.93213803825551,51.59129453102693,55.27356138552623,55.78252199694419,57.48683787940047,55.413068246222856,57.570014746002634,55.37744590252045,57.23387062805167,55.64265690074863,50.20807454324222,51.9480758134728,52.79778490180981,48.799407462976056,46.821745400972524,48.024118072925134,46.49742926187828,43.20360350944218,41.703504892900106,42.4223445656269,45.95875897265874,49.29045844879482,51.08935000124127,53.659846883581196,57.671296085351365,55.12216681670143,50.93131827580921,54.54007116346468,55.942919244310694,51.06266980976337,50.64444521989273,54.37452374201815,53.39084232696565,50.00246870698718,54.09480417093214,55.79336198055747,52.224222704173734,52.139242245184704,55.565201540460095,53.09184046071335,55.0828594082445,53.34455776110859,55.33259365011515,54.28158106517305,48.93349456035483,50.445091952179276,50.946038941678005,48.19352114980338,45.26937271994601,49.25039156718968,47.64516308352694,42.5580390179165,43.06603662695452,46.294031853041695,43.84693539056286,40.20103776001173,37.22666320009631,37.26812360837998,34.440378499821435,38.92352126070434,36.045918946176116,38.12929160708693,37.63866930072497,34.13483273824216,32.97309483357559,32.11002983847571,31.609205774399946,35.63134088872898,34.97448100422098,37.55414189110655,35.531313144871326,39.42758911712498,41.58408260098599,43.937446711978126,44.253879240517094,39.095283695829536,40.90965623379582,43.33423724007111,39.07115726450768,37.10466739276951,41.113591594972405,43.348445930144806,43.145399792980996,45.733972037769796,48.31668524337597],[33.107520148873725,31.085703069654524,30.213888141832097,24.988752800402178,26.587282627186752,28.868084341450484,28.70026097618673,33.154176964676985,31.666058838561547,30.157066022057997,32.67407299859765,36.72179914109822,33.896099077756176,30.643257078063613,35.35861585728068,36.86852626879261,33.043263867311914,35.48291839075227,34.0944080171424,37.37714696553508,38.301359900734994,41.251701722167574,40.25808830964786,37.67270415271979,36.911466543159044,33.81414314286503,33.942330446510695,32.348085941068604,35.644040413367584,37.868442896781815,40.703840793358225,42.29758143159104,46.04342751012023,47.99945595019817,45.360534152022005,41.874448820501804,42.44991737836348,39.70888442201347,38.10050085766718,42.759496037337655,37.8879009775584,39.16188066665524,43.318178468129794,42.24057722247205,41.88746045229857,40.09165892562958,43.919899240181145,44.89220088819748,41.27000893809172,44.766033025754695,48.46926626507512,49.05502156640524,51.99034987501725,47.66590545357007,52.34878000937655,53.782918586118065,49.638933331252794,50.2579377112166,54.64798973211594,53.22831468695421,49.41410214897918,51.01100376454427,50.087041488112035,49.55732168506351,46.89586879532238,44.83850960290502,41.037127047122645,40.192001329524686,36.23096602094222,36.29476451596547,33.94349048740732,35.49974245506534,38.93629945991098,40.72081466339758,42.38492727240999,48.34462505312256,47.01788615769111,51.1086102535443,49.88511203409891,49.95984552696095,49.42307792923705,47.9635840843489,47.922201883928935,46.84927078946574,42.78103541228221,43.12672011756528,43.72657426978093,46.670077009108454,44.700662586754525,49.415793153812146,46.445704991381234,49.01398489574003,46.67894830151386,46.2118803335624,42.00210087874383,42.7760922225624,38.851775588304136,42.70749503440219,41.38843476982072,44.820225872089914,44.25330816838174,44.65828889381237,44.133969191186175,43.26598994865847,44.28458896770481,40.5867044246182,43.45290095220468,41.07144534104152,38.13993181356459,39.491675331197996,35.46891067999679,33.51204488342999,31.260728412827454,28.787359957553974,28.659015272933594,25.8514378421164,27.95013165569774,25.335962425038804,28.866746061903214,30.543312364192165,27.278058653220665,26.77198452596185,22.593648191985753,23.54376602958519,24.916490562093728,25.41629881698027,28.95991413480381,30.264711011126273,32.954177429355745,36.82884023901167,34.20389685483062,38.791955689200485,37.742162997418184,40.386501296649605,34.66683674917022,31.717748894289688,28.59895321422702,25.710516702447432,22.810551251595058,26.34794009909772,23.440205367059825,27.09922883470739,28.845590359443843,28.613511877080246,32.329313435621046,33.45400612848153,30.93583489387848,33.02924285021553,34.345285758024275,33.79064642497882,36.789309919566264,37.8304769550078,42.735689927254576,43.59062987996424,43.19084437866416,42.93253424893432,39.62737938863217,40.22639296898407,38.91509025143738,38.20239943662794,34.90921199807018,36.50696074533003,32.18819084544762,36.74975729052904,35.289555246647275,30.601668705267638,33.52279073663757,32.667067379908254,31.01476833639391,28.106596170922998,30.5166869500388,29.961659012315092,34.777951948006,37.64647410168612,39.78838985321676,42.507234674167435,41.352216939712896,46.71102123925274,44.27602391226785,45.55951361475369,42.42372246385392,40.35594851171839,42.52394484490167,43.17638722203459,39.91555486329478,41.691749260811264,40.11421757328344,43.15255711167367,38.738272604711455,40.92268081576135,40.561020164361,39.40941782104128,39.178911128468066,37.826507293533666,38.57434780805266,38.5479638771648,34.492117276045065,37.34366479356193,35.925984808163555,36.9261787977132,40.40099461717478,41.378796032652424,37.504886631349734,37.16545572332936,41.488521873216136,39.58431440886102,34.698912249039324,39.049550788387734,43.4484279535383,38.51565657216796,38.17058655108986,42.12447213024328,41.57026523348914,37.51122875348322,40.21879395778785,37.955487846891174,43.739283783203106,38.900126606853064,40.52467651159675,44.74393833135971,47.57667668504684,51.33494965324573,51.91446556200964,53.41376299790043,51.31886042148546,53.45750016172812,51.13556692146782,53.22654149154508,51.743024144597584,46.12824861459835,47.92453198718617,49.10025531039628,45.064496179775574,42.948572754323244,44.359986146479464,43.09896717452494,39.61083414945192,38.009072320835855,38.364867338788265,41.77750386539586,45.14579265002249,46.74321626380934,49.22732981729853,53.149608056506985,50.51043141935768,46.366651519119316,49.92193049178432,51.19560029949047,46.27973706875867,45.92447620127086,49.58039535749753,48.520922635025364,45.19070040360932,49.379816900792676,51.001350232959275,47.398181964943845,47.46436816206152,50.95207001846417,48.55990702692911,50.57029103559156,48.80549991891029,50.97083729364557,49.95880637508714,44.50812018758323,46.14754375925798,46.836352250752526,44.035709082684654,41.10571963917619,45.37856361216356,43.88892154136242,38.62475367386953,39.26352343503521,42.808659541932236,40.4027204550356,36.61431742937089,33.35597192230299,33.89677480237573,30.842210778913817,35.20696498828083,31.96375173486909,33.796448890411654,33.02305198507329,29.704825802867326,28.581324865308257,28.01157358899163,27.338428240746353,31.32792708125392,30.340461185118738,33.023135849771755,30.81547467810719,34.58856171565829,36.65163145409235,39.00174439428567,39.24286365170501,34.09105514582689,35.96475131459508,38.34566632980245,34.04939312330518,32.1561076522593,36.22998502091219,38.43570837562086,38.179120666439886,40.76744747159246,43.37052837974829],[33.39080304165413,31.127169055722206,29.882366842105576,25.1424195224702,26.05502098514921,29.27549701671089,29.09584614503494,33.638452746850845,32.78627955574268,31.29062380364292,34.150917327633984,38.01623493107416,34.77264874630732,32.037445330708515,36.78032665789363,37.89228032982825,33.82408412712456,36.31399853299755,34.826849416416934,37.6553390833389,38.59484618968135,41.124685665823776,40.244468257674825,37.42483982395762,36.53010793927512,33.82035157471318,33.70242618090147,32.42543244786418,35.984995870927115,38.271268156768855,41.77505167545311,42.98624509128682,46.98991870956846,48.862798472701925,45.87813246983647,42.296194281251104,42.542596689177614,39.49656771766657,37.50883286088734,41.65418453253379,36.82142382825613,38.7037276362941,42.67969831211331,41.20212038260677,40.666439301779036,38.48211282123348,42.2206430888549,43.48243877767603,39.667646345988025,42.69461041140292,46.653146163594556,47.31200984187433,50.48970825248683,46.4172078504418,51.22803639285325,52.69248480521736,48.705149608685325,49.63909884072255,54.01710628675476,52.47770107027121,49.02110757086594,51.05222497865105,50.418901569947614,49.93033444183642,46.95104093151794,44.97688061812228,41.69861638029795,41.02875578952959,37.4412373624782,37.812136660553406,35.64098260720773,37.55867868347801,40.714178398747734,42.16649902221358,43.615921967539244,49.48603235327726,47.66078511303153,51.80442005441046,50.20301972558634,49.892303395402735,49.15548981155306,47.26123360336494,47.22424493526407,45.673164368235966,41.67026908685019,42.50052261251363,43.37475243179144,46.57333198500892,44.938014184237154,49.977610179277335,47.33884896525247,50.249983341578954,48.05792466416441,47.58254835227973,43.3812355781527,44.53408796148272,40.60311761406473,43.96402482739326,42.49914961423573,45.81069617531698,44.82390004436612,44.805503314591455,44.03603880800234,42.7909925034686,43.16422669010913,39.49893188473644,42.02917845859613,39.30074558587868,36.582517387700875,38.37503907088914,34.643410371323895,32.75548161564838,31.134368303244234,28.46483735715071,29.006593261596695,25.985844278774646,28.25761168518199,25.40523309899935,29.432542801123766,31.382341608324598,28.379559904764474,27.88656235495662,23.371015294294608,24.09781929232942,25.392656603706747,24.91039502567863,28.37207102702016,29.226154669392866,31.53126333616675,35.19350732545562,32.043521788321286,36.46863445098365,35.231204986556534,38.31560478639441,32.481019877520005,30.002980868806603,26.394102434585932,24.017038037034332,21.51727801214881,25.171294578070277,22.310413461579152,25.872240379851522,28.197105055474196,27.90513186490765,31.53842806366606,33.153936792875875,30.60791855611159,32.92638110443638,34.054708033364335,33.962705587263464,36.76391845589024,38.41154797342932,43.10885616854594,44.51020788532742,44.23207529827275,43.56824282554254,40.19529199713119,40.29812455564195,39.033012073649935,37.64402677194161,34.006138289341116,35.89600508387363,31.0979059020603,35.58615980359967,33.4954125561866,28.447437006038843,30.974122569428246,29.680636417758837,27.92512514778508,25.435814583322262,28.05241320699078,28.056145572320617,33.049480215505646,36.202767715409934,38.710718716601995,41.617326907496235,40.968863771407364,46.08815612480396,43.31367625428849,44.37011240977926,40.82891608333566,38.88836121942961,40.484041326362046,40.82365774272306,37.681267703150965,39.671653746980624,38.48939288083921,41.057259695796226,36.52406738753114,38.37624621837611,37.65589254573043,36.778719558908335,36.21953839924462,34.9040937735489,35.58372605665332,35.40336440304854,31.54290951246702,34.58753924705765,33.393901842205466,34.89637063989346,38.22374710360596,39.66212420531139,35.973878425408074,35.32308442472132,39.75190536868048,38.35495468826849,33.3403920444814,37.549618419567985,42.25802862072572,37.77191315701846,37.27877046766623,41.24198343365821,41.14230672679368,37.179387923710784,39.6216044703587,37.042381583527465,42.69713810056812,37.25316284947564,38.85285886915026,43.10580961254501,45.50398311602226,49.33600145399795,49.569335587683526,51.122325721881985,48.89847557125352,50.94717828520118,48.73536004244991,50.47036868095359,48.93275942842344,43.52456231806313,45.164222815172785,45.9685647036244,42.025137072882906,40.004098673468285,41.14424136095288,39.67091208612727,36.41906281000561,34.81940381695756,35.667706272691134,39.23713055432915,42.540468105556485,44.475114817157475,47.11164905127015,51.21790028129664,48.78957766254258,44.52348314168622,48.23475328535283,49.81677018753417,45.01161035859695,44.55602203063722,48.48338381760437,47.7160651773641,44.30388131407139,48.27510546779259,50.215500137703586,46.922115558627894,46.62387590322449,49.91554885861208,47.270128864651674,49.01304538772241,47.11082008836485,48.94490620043788,48.10665474423703,42.78714733700952,44.00408466895681,44.57851087024356,41.97317276011912,38.81634359379838,42.706447813972204,41.35053863553668,36.24898107597248,36.472932526290215,39.80951782541602,37.623260485284916,33.952966330010874,31.118921029954134,31.373541231771014,28.8192160731685,33.42774044853522,30.678990437863188,32.422389137520604,32.279667176695085,28.99126685421258,27.382524904234277,26.270995596661844,25.461520328596876,29.269974841416367,28.786184735341536,31.13104462151924,29.41557471091645,33.608964990145424,36.00585785397808,38.48029120754696,39.226349959115936,34.01315423404468,35.99968732083734,38.763954701194365,34.56046384872868,32.64837202197841,36.95792451167408,39.482020755954,39.16000763731373,41.771579916664635,44.36759082035708],[37.655679522147715,35.31011856453283,33.77742013713206,28.97571104935901,29.374582503657145,32.4516417227197,31.75996609930139,36.131092818201395,35.04261879668759,32.966167818221365,35.597986260954,39.61601316236532,35.97019918859688,33.0499655540366,37.457205538706866,38.548223189214504,34.230925041428996,36.1412130346815,33.96371416738717,36.87488559970138,37.274163157672696,39.67960331590202,38.38651610572341,35.35566063474862,34.96811771693392,32.53049608672738,32.95698932174127,32.18029364711263,36.000183289414814,38.75288546912208,41.905769986699966,43.633913286171065,47.54837908285382,48.97854843480941,46.041432545352905,42.20917564451446,42.89873367755644,39.2915656773845,37.23913682319399,41.204231082645066,36.04327160076165,37.71787608810372,41.52614647391457,40.05994244696795,39.11301984977912,37.00519893994115,40.570359494696184,42.14417655874978,38.740098752558715,41.63586819709997,45.643306161274175,46.57834341343591,49.64239422879135,45.76969795058784,50.60218650455315,51.64201982530812,47.535675869957856,48.738612235704466,52.95149056454568,51.037084993978176,47.62728818207312,49.720564468634365,49.3241852329632,48.34708379433584,45.41361022571385,43.84532962932519,40.40799980068558,40.22557011889973,36.490865216696655,37.35222137507742,34.96117957559529,36.64191889620555,39.97047822343443,41.00684197798919,42.92296710561653,48.544524028595234,46.80397746513935,51.13975057249359,49.60770053713477,49.18839850129522,48.901756227734445,46.99313485451352,47.5033517919569,45.86067464511713,41.725419360573376,42.640924207304884,43.03634279700064,46.60671266619219,44.51233197099381,49.744067727040175,46.982683357915775,49.72412410802787,47.84182519373654,47.74805055425637,43.79653079966724,45.01479274793341,41.318144834760695,44.87270168199345,43.77348593223728,47.51446624855969,46.06285140868319,46.534633864626024,45.25921974949216,44.506933743157504,44.677060256103786,41.404778556093504,44.151570899312524,41.50431966348612,39.14934041696737,40.79724229627923,37.27570274838012,34.84439881240127,33.27369357342631,30.149090961146634,30.20239276949846,26.855322445914155,28.476155163605902,25.083916481355068,28.497202313485328,31.090525568290904,28.248165910653274,28.362968748741505,24.03266605958746,25.405120398252237,27.340747548830926,26.915652058274333,31.11066408456734,31.55776056118213,33.93882320031014,37.17537087216777,34.31500193277297,38.65568845737816,36.92619121189815,39.91239683033602,34.020582759664784,31.575632809364052,28.422464509558708,25.531171096213086,22.706550592007822,25.890616585408868,22.084908865385863,24.940596475294083,27.541643885938598,27.864766969513767,31.381361060333184,33.384475851927554,31.170339555083586,33.955107319086146,35.5285800224189,35.79914767058386,38.98232231846604,40.683430958151426,45.47137969518375,47.077402745009685,46.37032266132383,45.517316748150975,41.90991701655685,42.178779214389515,40.40811531390088,39.2765477307286,35.206793437665574,36.496237636470454,31.5149104907561,35.76235140531629,33.759670143570695,28.538959177758958,31.461425487093084,29.856659675063835,28.748108502403593,26.261325135986418,29.12878924854677,28.970274020021588,33.85713209636902,36.99591374572775,39.46935243083902,42.6470751823541,41.85023675462743,46.952694060526824,43.88539295421859,45.18768687882625,41.423455678261355,40.16257446017611,41.55594840494383,41.66467781653234,38.399118470362986,39.75469355611959,38.25399633472505,40.56138313650463,35.654077734617076,37.9718321994866,37.44012168174788,36.957724757337175,36.85235614271749,35.984560374259885,37.00864306890002,37.22702363634544,33.66632261334524,37.03089281910968,36.31879249461513,37.7827036301732,41.38931492119338,42.81314480930343,39.167078681696964,38.85070356601011,43.32804140533062,41.96184714012541,37.20746093127359,41.49087288301347,46.10494225752142,41.74365627661955,41.45282113578874,45.43735211319023,45.23907772497982,41.459355733516844,44.03607216098918,41.44373059700197,47.08885376082736,41.65025607056071,43.07167444847967,47.330374132962504,49.584414222439065,53.50713486044699,53.53381685127495,54.906958473296356,52.49306452335895,54.32350944212172,51.921976893534136,53.5023025643058,52.211346037509145,46.81898934135648,48.123153914022076,48.90783764619375,45.19542941875105,42.99666075439082,43.76306824704822,42.56071266531267,39.582532576296984,37.45341219245313,38.780803412540685,41.88206782794333,45.26458517911229,47.51016480238794,49.92534849149838,54.18209321400321,51.557438293314405,47.450479828843854,51.47923430365534,52.92035463317974,48.11129187635082,47.98091125977628,51.97577540988847,51.210209030893175,47.97399882652481,52.04271723650383,54.001390102105354,50.77879504306304,50.6418588693092,53.933369827749516,51.27943882889182,52.844856343524285,50.72377441332262,52.54915999936813,52.000216101358525,46.650985988920276,47.61053129396981,48.38539216087992,45.927128194130596,42.52048213718578,46.336491030359745,45.27700886884013,40.1948739591091,40.06620946023178,43.462427342419524,41.566610047764485,37.939770888902444,35.26582952961408,35.58804891894012,33.245256207638484,37.89648016591173,35.17161658985622,36.68656965221621,36.46337723184983,33.38843875101879,31.678670481622987,30.585159566701446,29.491575235598226,33.044738595281345,32.285132371745284,34.240362185852405,32.339484172375464,37.05206818807306,39.22420510936113,41.933030767645825,42.407565514172184,37.3011022783192,39.68750302509459,42.237613023580096,37.69713342563528,36.29459036863597,40.70962841333383,42.94438649221355,42.37556883779746,44.81194191634132,47.4255953477506],[37.182038230774076,34.73381492355276,32.909138535652424,28.04990200433622,28.05637044867149,30.911916408456527,29.8673325011518,34.097703240887896,32.88675003671353,30.5215822434887,33.05772572620751,37.10831074038558,33.29453889837419,30.339754828840437,34.611644493924025,35.67399355377323,31.297664516059058,33.0643459800814,30.79252094527215,33.74051740474139,34.10707053157663,36.57367406767337,35.279730526320186,32.309885043138785,31.908485911037207,29.396917952756095,29.9007818834639,29.149685907902303,32.98829903341557,35.84711261687454,38.882275467375365,40.749162147789576,44.6248947589568,45.94249519268026,43.03528276088316,39.16139617568964,39.98539448715425,36.30704055062023,34.32240256786793,38.40308803195702,33.1939790243974,34.687220477319435,38.533769271801006,37.187249125715184,36.31023528824223,34.36032760606495,37.98885478554238,39.41402664960804,36.09249741029459,39.21282517110534,43.09578824665507,44.00243266235639,46.9609223125685,43.00175229725759,47.79742975885036,48.80297358510212,44.63504246507104,45.76019751785504,49.976897980932115,48.09051152436269,44.58274650602307,46.5940951844265,46.16383532652195,45.18248208595634,42.286020436715404,40.70508250877406,37.21439585956458,37.05265855007927,33.313814256097004,34.250339815497824,31.856994062634364,33.57561407005152,36.85907027059361,37.83161774663734,39.76359249844341,45.35865025017684,43.63233157659233,47.982154097757885,46.48770494547484,46.10952918176116,45.91684872609077,44.104002273192144,44.71816791167768,43.1933040596919,39.010416829050016,39.80912633488424,40.055284895071345,43.64417582045075,41.424110800485444,46.653662307540145,43.86015498157276,46.57877833186342,44.751670020726436,44.733673636823674,40.85237631697992,42.12127422381887,38.50472415167698,42.06958558064413,41.10246531501473,45.01224002925083,43.378417693470674,44.08690689262624,42.63929071878568,42.15455608934797,42.400747109329714,39.29556172664162,42.25006707223458,39.7821701538093,37.55047004303152,38.96299828817259,35.49763921053691,32.758305802545905,31.10844888890505,27.806693610483215,27.573913734496042,24.141193841701796,25.534891219356247,22.05466166345007,25.3297737284604,28.001245954326976,25.206026711219934,25.4813151507059,21.236809820580845,22.849724159472558,25.072538907727463,24.782770837032913,29.379907434010157,29.685593729140844,32.215109759740024,35.29659173084459,32.818895785337844,37.19028465612144,35.3306582093659,38.04205934913943,32.19206510602865,29.55786777393841,26.84104766375829,23.504325238461938,20.425179053902102,23.39145842593974,19.336648928551327,22.125463932089325,24.582501544926934,25.026735771314716,28.537179027819384,30.514111678681243,28.400383143345774,31.29386080867968,33.06322479160975,33.4350203210649,36.818743278743476,38.49589163410347,43.325700383132904,45.038199200501495,44.08829983989965,43.140439206369884,39.43684885897786,39.82146274889266,37.82969909368386,36.917603223111634,32.766355154139106,33.783532537770995,28.886171740090322,33.09297031937122,31.351771786679496,26.265617085700235,29.491316228201065,28.11631206436775,27.23329614823883,24.46717362178143,27.284519691686494,26.793891628155006,31.563092409950837,34.58280518190923,36.922153050752776,40.12901233503704,39.16710343392932,44.309083967432834,41.24679309327832,42.68791178371384,39.00495852946058,37.91531730464651,39.47300815621091,39.66637921688643,36.306427805043676,37.406637350720366,35.67590150177967,38.16933380745889,33.30079003408483,35.844110973866314,35.56970692743591,34.96368840539396,35.17510794943791,34.41210993103332,35.608371890464774,36.11074637501844,32.55869433702992,35.96783811813013,35.42928614360768,36.58957018705413,40.471155325697076,41.65924122308149,37.97631045003333,38.067192732044646,42.535599761466685,40.998107877725445,36.55173046979449,40.96538830844642,45.352941392739545,41.002164720109576,40.98908281543567,44.991697015744066,44.56680729425807,41.020954690152195,43.84132014215686,41.314132054161504,46.990331810863104,41.86132678768678,42.99052114219383,47.24306822179451,49.570861740147485,53.60806200523237,53.58359838742559,54.66720224401969,52.123212542080225,53.800014063027405,51.15433380996826,52.85731504412773,51.826291160866035,46.27795114825025,47.41617585652184,48.4937315977597,44.895152087385796,42.454037238820256,43.16813826926811,42.391127960092724,39.41050323167276,36.83888038630917,38.144525909732366,40.80423024924987,44.27942087408054,46.541181166493665,48.71657602428616,52.98503230736852,50.13155938098676,46.188451441455285,50.37788136377384,51.58750759705636,46.74232455612554,46.89938772190342,50.85311089448969,50.00619848704937,46.95318689525989,51.17468342560812,53.05475496635774,49.83881891206814,49.96023523338514,53.308523718285535,50.73937472495319,52.219554058703295,49.942159862919056,51.93219463089924,51.59534556600652,46.139912602184815,47.06189558147585,48.13274874380614,45.719978086969824,42.16345172094017,46.19583582431025,45.41246717978475,40.194809785607404,39.9717435412682,43.680700338703936,41.9873234894636,38.2699344478878,35.44659027833867,36.2274201217479,33.81406100511363,38.3697449075111,35.35626163684622,36.52152480546967,35.98793782908404,33.22233104039252,31.50401958456223,30.682061368706673,29.268857191787205,32.619553659028355,31.36936959013741,33.14805395737934,30.932610545202564,35.885472122997555,37.79349937546066,40.65164111246328,40.84004744750909,35.843804801508455,38.54834148009781,40.87657987254211,36.08761138679735,35.12699577650351,39.625027120662544,41.59835215062543,40.81611707711252,43.10633727049338,45.7351224690264],[34.57079841343834,31.965467045213256,29.8985532310718,25.424730112305063,25.02667846348424,28.52907639973444,27.63265886124812,31.960168723718212,31.318552280778455,29.239252072312556,32.13560300999555,35.94656447861299,32.041313776686316,29.605678049972013,34.06002922441833,34.8212661671766,30.4348713677241,32.593218765118685,30.737122453544128,33.254914773103344,34.01960118903865,36.249952927657354,35.36292186504386,32.411087396240376,31.515868680830422,29.10810479436576,29.028873226873845,28.180114756359792,32.02374291428491,34.62819361885091,38.36537119546965,39.62551651823982,43.73160464656253,45.24796005062743,42.0652033255616,38.29156080954083,38.599148360061434,35.06108299804103,32.854707648861584,36.69207721433655,31.739739104994605,33.79931955987136,37.62296162474173,35.99938970972747,35.30659269270183,33.05189856694142,36.751986864161736,38.12119257960261,34.38581150778251,37.31326650809388,41.31408791439552,42.07571671005755,45.25986732316487,41.32469393119385,46.185108343055575,47.49854215965965,43.52182333302943,44.667748325778845,48.98418590816149,47.28800839079019,43.99904956005428,46.265150172115135,45.876403314871744,45.28445363170787,42.13542551803986,40.32538175712219,37.361886505356836,36.985331326131885,33.671987987876115,34.498427357370886,32.42584497964308,34.58981675378841,37.49009435195763,38.48878463540144,39.90636689011067,45.57326182386052,43.419308541828514,47.65953455871058,45.84614473099977,45.26508396074898,44.6371872970913,42.53841820021876,42.81798037519085,41.03444691692227,36.97540570397168,38.04741802539485,38.7849724111118,42.30942171405495,40.629222332322236,45.95309877024781,43.49640950193336,46.57624651044412,44.66329082870411,44.39768398582642,40.38803464137168,41.90685803934457,38.16556497724859,41.22030659879332,39.94919056428869,43.54118065324394,41.83506819894973,41.99656897711679,40.62933670908248,39.646841235474035,39.56661204824709,36.30728074448783,38.9648212754932,36.264649575543615,34.0314708613697,35.75490388238235,32.40850644801075,29.920058473517837,28.688186418642697,25.459953299879988,25.960210445852802,22.571574735104072,24.47231182777493,21.19964375925603,25.259358098231385,27.6608023650135,24.998516603088955,24.88969700801642,20.326329395230783,21.381284684799088,23.21490883281557,22.186395402268317,26.440309939797057,26.580188435352454,28.836292813719027,31.942996528338952,29.06371200253163,33.38165127449601,31.609805998918645,34.60063634665792,28.701985999903517,26.3261558547907,23.140403979438933,20.30799378576829,17.652828997439055,20.939084466108657,17.50972150401315,20.707205262836542,23.378619964904377,23.361830297322054,26.873300241878727,28.95407126820139,26.63119062575941,29.415197791074316,30.816740854121605,31.34643102886901,34.41359471131217,36.49408509353435,41.12207707612649,43.14643077913815,42.460687174994916,41.30041200750183,37.667461307528804,37.619243347165586,35.906650460000606,34.40122918423051,30.233559978514585,31.772717391241823,26.65737455392642,30.953714017567464,28.748983699196167,23.52813253543455,26.310644745120705,24.882475082506616,23.595538229553465,21.014160847574882,23.835517843235397,23.75220566792278,28.69715275175891,31.906653088604926,34.502007213495,37.68540630232579,37.14684103922352,42.12741465890219,39.004164217414726,40.16200234127314,36.34514025299517,34.97818304625818,36.297266835603835,36.43586909744889,33.197722226613685,34.784586844525705,33.49017248412953,35.86883932385349,31.174528409348266,33.22680156833636,32.64822907210449,31.93702273511723,31.734679025168987,30.761238362321244,31.77680504150216,32.06105449519899,28.477020364591922,31.87742258553726,31.32411154348628,32.72607141091099,36.47390246626872,37.89033590297878,34.307518620267395,34.1877295619567,38.689092497334734,37.42032820877028,32.91058416377969,37.229807174682925,41.76036962944269,37.67938849256707,37.59133031529535,41.57941041209029,41.418066714687754,37.97223446787653,40.64332194350131,37.952000122766016,43.52853878979033,38.16914604967639,39.20867157673119,43.45785583325216,45.58586539596846,49.67203278212115,49.49012254290737,50.559245525121455,47.967754228090435,49.62275653134715,47.04575852662876,48.640179073972824,47.56136343959342,42.08142059904828,43.209990156421696,44.17761247114076,40.58087868179089,38.18259508176195,38.88178443494532,38.02369828259832,35.06915152664964,32.551639347320524,33.94294334304279,36.755529544157575,40.18415598269008,42.520856582972634,44.82041537694692,49.13840526560642,46.45029868728635,42.40045116460151,46.59203343662803,47.99885515498542,43.223787284707235,43.2542597735271,47.3393298315635,46.664997820366644,43.54330895977731,47.61747432819409,49.67346947811574,46.64679640289779,46.54189980667747,49.77070088221571,47.07504238762893,48.41858197595401,46.094157013932026,47.929037311528916,47.661132015221774,42.27737786042922,43.01761895425781,44.04582837127894,41.72387749688371,38.07401081253947,41.97509034389405,41.27967921747365,36.11761692924057,35.731631306910465,39.41834247756969,37.852444518462164,34.16830227950365,31.501452648408495,32.311652415691604,30.128776653915732,34.72547315803038,31.9084811315636,32.92235708749206,32.71309097763723,30.044853846268467,28.051478240894603,27.00730795958702,25.46290327376355,28.668738120890087,27.67377603813987,29.317013817500275,27.422414957746746,32.49728303420512,34.64638518445365,37.52184570196052,38.1021049894886,33.06219607229705,35.755400076695615,38.37118486945694,33.75189757230364,32.68216280516535,37.30614599043165,39.54943602684091,38.77695648187721,41.125072882250414,43.738861497924766],[38.62265343384945,36.088029032668786,34.200663767732415,29.895123239095533,29.61555636299794,33.39339302606059,32.63136658234761,36.97938483320997,36.427750307330186,34.337449437050346,37.2071737205534,41.028937498862526,37.02340027033959,34.59257154278476,38.93579456462505,39.651133501723166,35.158761220366344,37.040613904652936,34.76372695736903,37.19425103211654,37.56580095845216,39.51274983430351,38.32505092221456,35.092282217770965,34.61030596238121,32.62557893132819,32.84479629378494,32.43581954812725,36.456977917233495,39.26686589357104,42.97074404780017,44.36731173534382,48.47417090188271,49.7777581894705,46.547376702732535,42.64582881617337,43.05637492129511,39.15057522518488,36.75413150358925,40.139801644626075,35.051625782751046,37.287168666454285,40.850627790212414,39.00155359478211,37.84188621940669,35.3685045854326,38.78113419107118,40.66510031923963,37.14837097434589,39.51670436205634,43.754844107706795,44.79178196554834,48.06023735500108,44.49220035714996,49.411957448528106,50.43109720156913,46.50315901652793,48.03217204153144,52.184640788933315,50.13477739672032,47.11283996425072,49.619993434427066,49.525831827466206,48.56855610722802,45.35392374968545,43.91086002308612,41.01486207836179,41.03056680431643,37.69646514490732,38.85393462895222,36.65644079738198,38.63776932481737,41.66785257533093,42.36353855992492,44.07486406054548,49.54098337635052,47.345041523916024,51.70517155596711,49.82890809335535,49.03266105146102,48.59479561116823,46.28115564015449,46.85036689094259,44.75049574996078,40.70803007458254,42.09324043039844,42.69984039166714,46.513138058697486,44.71941153774271,50.22508714223233,47.79378906912495,50.82393556118853,49.11056908461703,49.03435379606227,45.145011233811985,46.701737269722486,43.04978117851345,46.13663506217216,44.94800168758075,48.588527183327706,46.71965922208902,46.855618200843146,45.30598684637748,44.27628126155384,43.81341506353286,40.67272058374476,43.10736979313345,40.18461009916945,38.13072798156079,40.1326408007255,36.966314459457266,34.55183438823951,33.58753989181516,30.294014712632393,30.891257440279514,27.405423609600003,29.07679031412072,25.516921911304113,29.25482211141847,32.08303124008766,29.556407369304978,29.716162901566168,25.227442940516507,26.415715557626633,28.294757607438836,27.031360112937353,31.155534857870094,31.11899079503053,33.10890094360237,36.008275300921234,32.76223879633392,36.855288537628695,34.87231121853435,38.21929459608859,32.30128185144649,30.3696568625776,26.916629638610914,24.50727736224162,22.123116676111255,25.22017776133783,21.464626557092345,24.0145039342608,27.1610868205366,27.486109573320842,30.82079344477573,33.30236240941822,31.14576004897873,34.135904578296646,35.5625257392541,36.29424258005762,39.30098131202632,41.526680856070875,46.088218360557576,48.19322554839145,47.54795822670234,46.317549333370174,42.66041192915335,42.49808526571777,40.730104781469585,39.024908979081395,34.63881655947164,36.10357797694851,30.73109106403704,34.79322579618328,32.20988996279473,26.700171404430208,29.225325743942673,27.130266511704455,26.076242400079487,24.091539503455365,27.14701357786844,27.522426268621675,32.45844802428374,35.819519587127495,38.60473467483732,41.956899186711475,41.629786299556905,46.4462892429239,43.05122776520856,44.15375194557071,40.00924397229463,38.989988035311335,39.78060882065904,39.543481995342646,36.41289229982213,37.86392999776966,36.733827960228865,38.50180179536327,33.476657026672115,35.49223112718543,34.62760540673658,34.49891912391032,34.14581289554869,33.415831353695374,34.42970700048126,34.5836196257885,31.339466173366773,34.90449504894164,34.52993987859595,36.41900694298651,39.898105443192016,41.71429127769797,38.299177357331324,37.78721128920175,42.30234631311714,41.410642773760664,36.682047315644965,40.79217271538086,45.59092745169347,41.70469154426168,41.34266405161469,45.28993735531098,45.46130836589019,41.85976700392319,44.21678775401194,41.38470129064888,46.848162142332555,40.97289520017048,42.28652394532659,46.522207779454284,48.33479168407688,52.318814780642,51.98049877474062,53.328881764107045,50.76805770344533,52.444364896077424,50.11396163539116,51.32510948405816,50.0610509394399,44.90843076271321,45.9731107899953,46.41449886366004,42.885011187436895,40.747128437229065,41.16353348934382,39.86139383303031,37.210415183050486,34.96534516353787,36.84721541463904,39.93092590814348,43.230566963614656,45.82929649242597,48.309963970725946,52.72737960431231,50.27803235464896,46.13268783097548,50.329341751329814,52.00602297670757,47.34335355893757,47.191410391228246,51.4036636606107,50.905612108950926,47.66546630543548,51.52454181808211,53.7526420646536,50.84661915926286,50.429342045040684,53.52063841864799,50.66619880863497,51.93574908092497,49.658308280719424,51.17156851282269,50.85752355738631,45.67089604534218,46.180066889911316,46.90351239884247,44.68616936416393,41.053797698155165,44.46840099637585,43.635168534636556,38.76585656371382,38.170031966482284,41.36534025140604,39.78861316422517,36.331306385154676,34.11767518484432,34.243417881286184,32.44164078074929,37.20851606002004,34.94347324186463,36.27119451328301,36.56187319162472,33.635588672133366,31.52910334862452,30.02273080153416,28.75036306917,31.977434447560466,31.602928442784933,33.12091564402587,31.66645062446059,36.7627895331918,39.14820967483634,41.972944665074685,42.83531670108128,37.763219039290654,40.28652810729892,43.09737088657646,38.636736921904664,37.32293699921421,41.90271359691557,44.33752410057619,43.67764055254734,46.08722551989487,48.6755034417209],[40.84482602890098,38.22708043802377,36.05686041334847,31.673738899485084,30.962479376255274,34.490278205058885,33.27521925718089,37.420136861205464,36.671644130374816,34.12650241665564,36.79126480312763,40.68142961992265,36.384776759236495,33.86647461873487,37.893668155026674,38.56316422606244,33.931326847399255,35.360064644808354,32.61980245285297,35.06925473360503,35.06857266999269,36.92690831921765,35.479314588252414,32.144972586472726,31.995058371642063,30.2005697582122,30.80523522652611,30.757154724697973,34.91467904989138,38.04381797907012,41.45678142770692,43.22104695900993,47.23013067108681,48.19297364732536,45.01961701320913,40.96515210291533,41.7129816639832,37.43816354733467,35.046547066394965,38.33947397465678,33.044948804796825,35.04755475657482,38.48902570360207,36.710084625406694,35.313016273876,32.980683611413184,36.29140571833422,38.30170985589015,35.122581238406866,37.51187518481672,41.69659831299363,42.90000038161529,46.0224262231754,42.55414620055048,47.44774019439974,48.16799304684451,44.14533617250608,45.80787258827687,49.83824754961566,47.56451622315137,44.54157033119968,47.04880422345808,47.09923560837337,45.833129829414155,42.66969203746457,41.49491759230965,38.514765663160155,38.86259416567226,35.48830069235282,36.99559066993815,34.69935637472429,36.553307332007016,39.614765056642085,39.991185461573,41.97658193865367,47.23099387875979,45.08831893816868,49.55408353231948,47.73954300575157,46.88900643475445,46.7868388272082,44.520982629721026,45.493503319626264,43.409242936372884,39.28062545341335,40.6526414153546,40.87291035838702,44.91429158162956,42.78256231519096,48.38360334637281,45.88386437141364,48.79030764833157,47.313126696454795,47.51047735946691,43.837476164413054,45.459609849754884,42.017543501150186,45.18915147346341,44.29333685403354,48.25312072842468,46.019699352189186,46.57380313256265,44.63700597008468,44.0576335362781,43.52475699504685,40.73307826351807,43.40644541708031,40.661020201584094,38.89555222069947,40.65449501125392,37.65169816252661,34.7734601907508,33.79526623127069,30.18417957846826,30.342170338972362,26.671114151063303,27.802260831761558,23.915807131100184,27.139882199322503,30.389014799011836,28.04641200938076,28.652912334749757,24.399371769348384,26.048323294680774,28.40018978533196,27.262795007786245,31.962405750898633,31.635400034442192,33.743609337894426,36.28922833736138,33.47745673580407,37.51215201069938,35.180371702263365,38.26762295434244,32.39225360572796,30.383268615641654,27.506119114311858,24.566254300877286,21.897753493893042,24.519558328253847,20.103570725153336,22.055416450398965,25.293549493791293,26.083882547630324,29.28438458525728,31.986427102074988,30.12014562715979,33.42086130175384,35.20322222265793,36.19481129066968,39.50730141078988,41.72962330595146,46.343204898522806,48.60696507662464,47.58839658164084,46.20487458040145,42.38175977371909,42.38134278047573,40.207211840900335,38.78872917034073,34.1371192113009,35.06852867805794,29.678646823014738,33.516177173277526,31.15482686406868,25.67226005826915,28.60511792160666,26.470643166620864,26.002175634869197,23.874839225330682,27.008399318531207,27.078219034478156,31.816882892756603,35.068502047207566,37.73394794341484,41.246645983718565,40.740682902806725,45.536729683346486,41.98116025205143,43.30874592829746,39.097434875276555,38.60754916005181,39.36919742925868,39.04284123289712,35.79861602005014,36.677292009978345,35.214901522736454,36.901263664041835,31.673383646573793,34.12635883124387,33.55361919886315,33.6114555647949,33.75597391266406,33.381866752298855,34.71004835197724,35.28628283696872,32.24624576162692,35.98447622943296,35.97834756665473,37.62897584819328,41.414259182147404,43.05401617113558,39.64790081277277,39.571763816372496,44.08617988518618,43.08909186559772,38.695692227031685,42.91799776496516,47.50863664789715,43.679358452385216,43.58970018110541,47.55444024376251,47.52059475577304,44.143818688512766,46.723315974351046,43.94068408884895,49.423804519872384,43.77326969823101,44.82505246778367,49.053065385609564,50.85693747635685,54.948405645002566,54.48826470527434,55.557672617367984,52.8260308483854,54.28762397760205,51.70411171714829,52.91452102873602,51.95587468870948,46.723837794657115,47.50276278959514,48.12990598496294,44.8103795850813,42.429585295256096,42.61438169670638,41.75065154007345,39.24964127747509,36.45104380414319,38.54670305893784,41.07505998834726,44.461984693395024,47.22141558705926,49.41658379842928,53.90522741942754,51.20775277350963,47.27012186799837,51.720748349815594,53.165231016852786,48.490100836924505,48.691417715608125,52.895449381350296,52.341225275725044,49.31380681547236,53.31671200074985,55.492103416163104,52.620220039741376,52.45572124419533,55.58495392804743,52.79154893981152,53.92553913049596,51.446719038219655,53.06542303313029,53.02834815664156,47.765950676803286,48.13448831252903,49.14888669861773,47.03103395398098,43.19932865492534,46.71670246017373,46.20328086788413,41.26460371133342,40.457453694511976,43.87689929318461,42.56631560180037,39.07754654260354,36.82699007938043,37.28261400846994,35.49797219365838,40.20862559261899,37.74824022887565,38.769880530791426,38.80205078236304,36.15283780602168,34.027472393508255,32.727901985687815,31.150948857564707,34.13721830298827,33.3075716702793,34.526664859674305,32.778595593166536,38.24278732863609,40.334574906607195,43.35519763350165,43.89077733734062,38.95796758647441,41.8561766096493,44.41009248115207,39.64623758409701,38.845164528592484,43.50614490168966,45.63074722847131,44.72611986856338,46.95124645357787,49.551328761905424],[38.48827281623497,35.69216519715425,33.06261602355663,28.914806361261828,27.483548873159837,31.082085189597414,29.535374740048983,33.50759837178496,32.98453437284401,30.290932593343275,33.042589635118745,36.77813600286879,32.238465513202044,30.057342149198888,33.99455226319836,34.414587032503086,29.723917695873464,31.224002835667882,28.66273489871123,30.83936034841865,31.0912412398999,32.86676225861901,31.726323125926356,28.48871519817356,27.931704126780318,26.110000601623696,26.387331258988656,26.324199673886596,30.510863662487374,33.59726026961165,37.33506066234296,38.85082953378024,42.95450466987234,43.91635986332059,40.5991431676963,36.56881305958645,37.128472741096196,32.85798184510182,30.391760007387933,33.676800500963736,28.47711199587889,30.660107527896535,34.15532391962502,32.329133076133814,31.17114080109098,28.81826798004694,32.308653073189774,34.06553772409079,30.663120220736083,33.262517950840675,37.3796675079199,38.42940811968025,41.58426193926379,37.985150259108316,42.89236131947046,43.801468722386176,39.82079009993456,41.379966996230706,45.5025196603697,43.416591500816146,40.40125175009793,42.97422911856376,42.99317409934963,42.018875269050206,38.72265394164271,37.34587966343749,34.67262153105345,34.88147741860759,31.81838750172764,33.33128051937588,31.273114399492474,33.47992881025723,36.19795296763057,36.525650668708344,38.15129694974947,43.42309292470053,41.00402921882031,45.40354860888362,43.41850775881124,42.48713062773926,42.192837805645524,39.856100022906055,40.72437953288616,38.61994131132366,34.50268448906551,35.912958356621814,36.28436479114697,40.30238385000314,38.38956055463694,44.04567575299385,41.73928423457229,44.863981157571416,43.388467276992266,43.50262319714013,39.83944612769119,41.683842947408365,38.27387308799252,41.097335040900774,40.166395289161365,44.103372819502084,41.60818209032077,42.0961721230256,40.000127729354546,39.43606302527799,38.78625907967839,36.12206435451633,38.86398052220641,36.21297653768865,34.620959619197755,36.264313772373015,33.437863204007144,30.336703009577807,29.55751878524346,25.785592403536803,26.063931176263758,22.335624623352693,23.472271735804405,19.60796446494317,23.19469631668839,26.357690539765887,24.20983451640674,24.7704206398631,20.48806491184632,22.058929146939807,24.499966809445546,23.034948723953637,27.981807728797317,27.340514224716653,29.435014693416957,31.756597102039166,29.212279319218148,33.22866586829006,30.778771983104708,33.67253841330431,27.830585500666746,25.760357662840974,23.20293029403445,20.011961224747814,17.32922400970298,19.77688907120743,15.384912502095906,17.468908742410107,20.738574902208892,21.392822401030294,24.572938692218568,27.345536030653502,25.488269968739203,28.865218790194408,30.652610639511064,31.89199380851375,35.22831238617231,37.66863947148898,42.170735890228094,44.74667777764462,43.60901705844141,41.98086070736965,38.10586335354318,37.96513665847799,35.701222836143614,34.17327966488318,29.406574639064463,30.318870165951274,24.87337896641203,28.711591291289956,26.362684763245138,20.92582463523733,24.00926186746685,22.145357717837058,21.747492367561854,19.348664714002407,22.435702466973403,22.329625345018272,27.023044018962217,30.25017529974447,32.915663944654746,36.453785108261094,36.021554759578855,40.7541190203257,37.165010768700135,38.483620531608,34.28494495205048,33.842224795720966,34.66127230069677,34.41619520818761,31.114672693671658,31.980340317288725,30.50003582086174,32.38438489002764,27.302809905349527,29.740256482097326,29.31872233624023,29.11429085347487,29.42418279636422,29.053977936375016,30.50237881346541,31.329924102643176,28.295796111278904,32.06983276267975,32.28685067306496,33.676647015316,37.709001942840594,39.17190342113274,35.80543403981875,36.12070228026352,40.60543904805637,39.55797177872226,35.55321720003568,39.839692596622506,44.19571386462038,40.563752120736495,40.76878152344931,44.71347793124395,44.55435070936749,41.54275241591742,44.30774600316167,41.53930817449164,46.960881123026695,41.61360208518147,42.251565141966175,46.43892947963838,48.224504574329444,52.4593121368492,51.86707990295506,52.56368497458431,49.66284011957389,50.92055738470891,48.07752741296807,49.39217830353927,48.73591988968247,43.35872316019319,43.92718785168754,44.879008241455836,41.71105204400804,39.05446035270112,39.17737100004404,38.827756774470075,36.33845935206302,33.01502900656191,35.10850590410009,37.13867715479022,40.60467478918204,43.407708115967964,45.36428034096942,49.87760987260232,46.999064310775815,43.217361278698164,47.84820073750348,49.112897371302296,44.454079213785946,44.93646486195373,49.14189150669888,48.59006058202269,45.763904200636595,49.84629695050286,52.01298861204278,49.271728225257874,49.29274009853553,52.40770289015456,49.664190944339744,50.615984904266206,47.93373784936064,49.666888683582776,49.92479907351574,44.59934729696476,44.82496983212387,46.17999899427677,44.17616849842419,40.13782999764248,43.84194238166757,43.71915420549302,38.67268686648585,37.67546691821621,41.46254210708551,40.47167583216253,36.91109180523605,34.57266321383277,35.61250242712544,33.86919064484339,38.428185812781166,35.74584713685411,36.25137644144359,36.08883007572336,33.89944851718861,31.643611900468397,30.571456973642984,28.558928963781778,31.159706112526813,29.875328107724908,30.75897978190826,28.828611730572327,34.620302837312614,36.50748689270302,39.69825683343046,40.11548398465935,35.341750594461224,38.59116395151865,41.024493265510664,36.11180906908904,35.787035342994464,40.569837091910436,42.52622806791284,41.38238784216702,43.45158284872133,46.04120615007863],[38.59495804176525,35.80622705562406,33.31692443393437,29.553997404422642,28.231937829364274,32.50424758472484,31.414253135147355,35.560225924894866,35.5165969566857,33.27038137604875,36.29975622556868,39.8620617645198,35.430855901867865,33.57629044877461,37.715909742695786,37.98819357838736,33.35931761362225,35.15801284408779,32.86111744957562,34.72616017881394,35.149665056015095,36.63851538792491,35.68189234296943,32.36754014801011,31.642474564921194,30.080708870595096,30.00431525838858,29.951066982910312,34.106949513172566,36.955468226505815,41.18500608122971,42.234308661803404,46.49434437230528,47.627134047115206,44.11910015329609,40.185921188484045,40.32034091456646,36.1534761909116,33.460016687234145,36.295965406475446,31.35108516455366,34.097106717674315,37.42251901561279,35.25666994474104,34.0269911000408,31.27501490139864,34.606615824452625,36.613810533388865,32.9591895734008,34.967302562806964,39.32803554147763,40.39058416166517,43.804345786430034,40.4600577786737,45.42245235384953,46.476136037803855,42.73118407593733,44.482863478950264,48.588434493912345,46.511842290911936,43.83416338354595,46.69495422362433,46.85104293246259,46.029355382581485,42.55083972117332,41.15439698257961,38.87934184693132,39.029461780160275,36.21208162935126,37.642159195876836,35.73169502646364,38.08473196333142,40.677132887460886,41.02597216994696,42.410349515119194,47.68225933244883,45.00050060052287,49.326250356977944,47.10448828463988,45.95565801616624,45.347384384156086,42.68567126512437,43.31074400930988,40.83547205955904,36.89599133242762,38.68330633551977,39.478886960468806,43.48244655877531,42.01308701458168,47.738649966852954,45.68439385615976,49.01756189853543,47.49050897363777,47.430727238279864,43.66425959088998,45.60372459944845,42.07060564958386,44.59549839766059,43.38168539989967,46.96744878338183,44.5654018801001,44.47542243744375,42.552314694573106,41.3985643498837,40.33473696716583,37.46686708479418,39.71252739678407,36.66602829310282,35.04230390649345,37.20815532748724,34.496044086088986,31.899041535256977,31.5525646583056,28.021291087912626,29.041552607204448,25.453560686948368,27.053152501180143,23.41603939962342,27.4365216241542,30.406693389863257,28.30309261945616,28.53739895064577,24.04431310624927,25.090728698408384,27.014898616236657,24.945084376144234,29.19408270273324,28.52052274330713,30.172980943038056,32.5581411417612,29.24583536560275,33.07459326788765,30.73457624147762,34.21632009975661,28.342621375906923,26.839041745980325,23.449714275437113,21.27980656801614,19.30168843565557,22.07944081666666,18.42565247297196,20.607967624003845,24.17009751699766,24.476294789311037,27.552612131550724,30.46580685836699,28.443395208775716,31.645978296618367,32.9973598210923,34.27920000431647,37.18644990444785,39.93215805088638,44.23119308011735,46.92598860528744,46.18638774008557,44.49905841574287,40.7684505114999,40.216055017509284,38.338786854160944,36.1729435133938,31.456989740004627,32.9513297292002,27.29081363183152,31.096367080362864,28.074920614566793,22.407572045327324,24.67125681693762,22.271203488141847,21.4176912821905,19.76074990334704,22.9472253991903,23.66551593550299,28.521469928824292,32.00928127674892,35.01439679333625,38.52624504318327,38.6021599231871,43.10371173501999,39.41347404468044,40.37467006530916,35.93155411269842,35.250681603262265,35.542548073659646,35.03375566271181,31.985097623819303,33.40426765644101,32.54599767585421,33.92234054407249,28.88221560849871,30.66781191931605,29.639611399246203,29.714875375458785,29.322144213516225,28.792033097780568,29.93003136275012,30.269131880717286,27.369975752839473,31.162788739660527,31.30733472889051,33.33811887571697,36.91508540742695,38.90244291522538,35.7218048397513,35.39084893849306,39.898321562768764,39.34088969437556,34.97703144516725,38.99260591797738,43.72327880798838,40.365993201026406,40.19760436526202,44.09009114386126,44.42119306904818,41.252733967927654,43.600968423636644,40.61815564521722,45.88458013470414,39.94142709905711,40.83206446358614,45.005899310844335,46.44630612464926,50.59094935582812,49.84236717108868,50.85904225974211,48.033600143981765,49.3985018938604,46.90605490949038,47.873586824043144,46.900269717867396,41.844078837419424,42.504030750112925,42.90603420761516,39.684419277533074,37.3657497258833,37.384145817433684,36.43608608039962,34.11578786027056,31.29894232256624,33.70930443301092,36.328408745372016,39.61808830370238,42.57319875848571,44.889188909221204,49.46133257670837,46.995387848409095,42.972473598903896,47.463080219131434,49.164064781696815,44.64290790794437,44.72577942685487,49.09776963254971,48.80362813700358,45.74444575501193,49.50577972498959,51.922591234172046,49.36326890253362,48.90178961397776,51.826005928387,48.86744994935713,49.75097709275681,47.17873635232467,48.5312702485111,48.66141384930939,43.56242367190182,43.57933671877559,44.546362615030716,42.62830483465888,38.64211639289222,41.86082825831193,41.5492109636379,36.78320629443212,35.62531893118058,38.94202489084148,37.91417373107353,34.553643960679295,32.66119856863772,33.099790561560475,31.774809925925233,36.484868746800345,34.3983142845924,35.16521769709587,35.6719996060243,33.23424811419175,30.74992686721274,29.128727269510808,27.36919946318192,29.99857935642464,29.556448602019238,30.424073883732852,29.18575194942519,34.83147910418371,37.18444900988199,40.22866190998192,41.2500347822623,36.363606071106396,39.26734806737044,42.132845591701326,37.609250230381676,36.764956616196805,41.531291911697096,43.933613464751375,43.01393614274313,45.25837600556975,47.809840959898146],[41.615839313442336,38.927521414282,36.68639653596146,32.885658404959045,31.88780651588885,36.18751050049926,35.24734739885494,39.45459703968723,39.33377411403294,37.107642988243406,40.08233042343761,43.71959790542359,39.324401077865986,37.3267862961577,41.44689138635615,41.79729300181855,37.1409123224361,38.77983426839274,36.22810755533273,38.16334291221349,38.31293479159328,39.70689417941792,38.50045980465603,35.04163223383296,34.66014738812891,33.29280679019592,33.484697665350026,33.624485597629324,37.839073474077225,40.80228153441435,44.87279701587688,46.09395539859191,50.31165824021896,51.33850007983742,47.87088551000087,43.87108035894019,44.141500115548254,39.81117636250289,37.08299049233871,39.725838785886666,34.697592298930694,37.41162851609283,40.59004084648254,38.35985326697602,36.83017430400249,34.0204732813735,37.12207161247596,39.451400657016606,36.025233070566124,37.69469032427907,42.15420052838562,43.40164462308401,46.81397611640894,43.70545712992752,48.664424386571426,49.494893957667266,45.766688874730214,47.72645309126944,51.70611822729665,49.39729178558182,46.84595347612362,49.7828640921279,50.08566129317911,48.98630107196073,45.53671555001862,44.38814012843712,42.02909528996069,42.40655481083974,39.46547999476852,41.04059399991571,38.98800316735459,41.139772745411086,43.90693970091597,44.13552034373283,45.78174167415744,50.95106736794779,48.35575303746236,52.757733471844425,50.576956622711805,49.365241711816736,48.93019974088731,46.21555293761275,47.02677555531618,44.43800267682593,40.512667989568286,42.40061867770211,43.054426781977874,47.1912192763399,45.57288188941167,51.351610354658334,49.23426688943561,52.460118866273845,51.02707259704331,51.08980351421387,47.37768028466726,49.254348919624526,45.751995119944475,48.42854695762948,47.277729282231846,50.911897934434165,48.52536560150113,48.47989762989653,46.524555843209654,45.38190189780542,44.21525453964591,41.380357631714176,43.519622002009456,40.37937212558376,38.78581389176953,41.07286749756141,38.378117210676244,35.872368864655165,35.52917798977549,32.024149765433755,32.97729368395872,29.364919145778508,30.837303164395234,27.070915189446744,30.793016428036108,33.97618011080671,31.852908866490896,32.228820664844555,27.779945088995525,28.946841896451755,30.894781355514432,28.920091091671182,33.06069137214533,32.44594250789806,34.01574576012626,36.373667640082445,32.88091424646129,36.58701581582704,34.20687782362945,37.85409841497946,32.01961282703512,30.707280468269204,27.19051905859637,25.230547289191257,23.308772731747286,26.026958934208455,22.196800326862796,24.038156586558063,27.72985170969185,28.254649060985358,31.254102526036853,34.28823595066759,32.35068121132481,35.614159012316776,37.00180415324911,38.269096708437885,41.166917527529385,43.873038379085365,48.1928365821422,50.8051089498782,50.10361225415175,48.47581835616113,44.746304206576774,44.220296044305975,42.33031482981101,40.16413324457838,35.41200555481983,36.832217215677964,31.12759891806743,34.80669347226174,31.684705431358108,25.96139131476281,28.081588032198518,25.345183627932844,24.641451189298547,23.34267551781535,26.57715863141876,27.479925177342828,32.2805198949566,35.79713075365723,38.84611400974008,42.41147672896966,42.52384114348114,46.97432135327785,43.18842194291967,44.14484637947403,39.58265930696323,39.067507698952305,39.12262694008731,38.42214499348387,35.459084725510756,36.76370367324446,35.95755542797985,36.98166949100831,31.774350912517427,33.56638396736399,32.38748641620145,32.84098228944428,32.36692694562492,31.979412827780926,33.07890330969186,33.289660314219276,30.58990719110698,34.395799322408806,34.54576191412246,36.839161851499014,40.19933569597336,42.39457417105924,39.28359500853833,38.67056807432779,43.16567847438349,42.775614462094616,38.213083030617426,42.10292300577213,47.00142630510624,43.659908446467725,43.28145362489925,47.15071124016528,47.65379123183496,44.30058082723657,46.45365990731953,43.42172349713323,48.644568808457976,42.40221713497202,43.553229086462586,47.71492952865966,49.01532827992693,53.04461250654347,52.271423185824524,53.537242640014526,50.79477485624899,52.227774210512244,49.94458356469883,50.692536942695256,49.54230823824592,44.71923905599331,45.41053172921519,45.4531726289272,42.24337689494385,40.15623854025834,40.05479270978039,38.735678827961586,36.587493767645185,34.102243619412974,36.71023979673169,39.58231783986637,42.76333483047814,45.80444190565569,48.261173735496634,52.849676306489265,50.551549650315785,46.45912596911594,50.875593653163236,52.74050347191274,48.27489239210801,48.19348243995412,52.6010388331062,52.37671469354075,49.211775089618946,52.84886154070095,55.331630960835255,52.78044942620497,52.13250215932791,54.99686403351595,51.96426265806304,52.875342220021615,50.40132555918337,51.56930826752606,51.58069903377449,46.61148453652626,46.57712590077754,47.288462652239915,45.389169136167666,41.50685607561938,44.419818114078346,43.9154808068889,39.35331018275982,38.17701885776816,41.109055001022675,39.97657740693385,36.775167385794816,35.13017310303878,35.05410681789309,33.89209751291639,38.69287078165952,36.92956121859155,38.008440180201305,38.771121499317104,36.075979607422674,33.618742321620836,31.75341119536217,30.28064496706701,33.039899451733504,32.992694477994895,33.92948157014323,32.91145960097013,38.417872515571815,40.91253172928917,43.871306011777435,45.023449712999,40.0788250431695,42.79499522705609,45.761508038546395,41.340808534671616,40.248956320357635,44.95010489756437,47.47220465622892,46.6746578843444,48.993850651389586,51.540950632448684],[38.92116062235443,36.290028963343865,34.24354746798492,30.61240384439501,29.8974301236829,34.43149775857072,33.877609749828174,38.21865951033256,38.3229966829726,36.514075742895216,39.67178601834884,43.20303877191681,39.072517412556046,37.21077224210065,41.58950107049623,41.95285183083421,37.445715459328504,39.511719464322766,37.43177428157664,39.3348323280046,39.87724641841865,41.38081110341579,40.46431469355223,37.14282069679152,36.39152525900967,34.799812950649475,34.59617631465159,34.36746125666491,38.42652756858516,41.06488006402438,45.423076274765705,46.265693753247476,50.57051001699785,51.92579481150535,48.403458322585074,44.5693593621295,44.50069853984274,40.56065254985715,37.85201779824492,40.619089678569644,35.82680290818169,38.73082032280342,42.04887943419335,39.78926646607758,38.56377558467327,35.66889089200767,38.91133562259297,41.019763162442665,37.24768125617884,38.98572113559698,43.43920280174377,44.47662066246137,48.00767526913476,44.756415621857336,49.71939314953146,50.88080102134918,47.24515505782559,49.019943496492104,53.133282389336415,51.09675254573471,48.51326024487668,51.418687778508925,51.55037276830394,50.79883628920553,47.30571870661366,45.85521675849174,43.587320076457594,43.61474235563723,40.74098526960685,41.97579273544283,40.04696470366129,42.354295821917766,45.047112855494234,45.58173329764725,46.92286055623895,52.29880575727398,49.6390357062145,53.919784118181454,51.67729855091604,50.53453040382374,49.75204439532582,47.01640196541632,47.406216343474405,44.84043066174282,41.01140957104073,42.87762944098643,43.91530964329107,47.79678637346119,46.5264406236976,52.19180051820355,50.15773525142233,53.51625349877062,51.85304484143755,51.64213731026944,47.73500104996933,49.570149676941966,45.88691575661635,48.43065260353689,47.00352967921156,50.3193709962776,48.25711193705945,47.807658302027704,46.218476746230834,44.65272736516353,43.56396463943211,40.4106394415492,42.321887348566435,39.03938264211959,37.18388988789107,39.679531381901356,36.86232151039171,34.79478199408061,34.494156569904945,31.301329784187065,32.67227506984464,29.260238975899522,31.218860021654255,27.791023087259802,31.99014220360436,34.75075949579123,32.48501398735812,32.446921292165705,27.8234600670771,28.5507065593965,30.051889060948785,27.92801065109254,31.503703798800476,31.12740508918327,32.56525319073233,35.23437721793907,31.36986391574043,35.118900284418395,33.10287382404451,36.952122164167726,31.11536065965259,29.866234430009325,25.8486820507214,24.41101640615266,22.792997324898188,25.908064876976944,22.758779415037257,25.183426575265397,28.713571401745423,28.775254741062625,31.888757376611487,34.67249702476673,32.47006216455397,35.417555379938605,36.4585408957455,37.49739456381986,40.0887367820767,42.81402178193141,47.048017035106874,49.54570317688604,49.18265114841549,47.67196235252822,44.11012027173956,43.41681459104977,41.91343549456845,39.478959141436874,35.008738257688314,36.93039085886089,31.2950611458939,35.17982671887325,31.903763150153672,26.236944022325375,27.97001733087713,25.390715559917044,24.072173125254945,22.870734822884057,25.967040761207976,27.1220814662555,32.06819809130285,35.65332621816096,38.785920958898906,42.16953581422224,42.446559894607745,46.902798658499016,43.30306860861011,44.04260059349609,39.59443213201164,38.5437730332603,38.6699147893772,38.10118677473155,35.25244124180465,37.125448793956686,36.62308511740189,37.8108954788371,32.8815894026289,34.24540766450527,32.835070187011496,33.00562667853738,32.06173331192883,31.2885074277076,32.07014736247248,31.87564320094622,28.958047217860752,32.56563465990343,32.36264316737472,34.84885738610171,37.92702576854398,40.263661604947345,37.160861834555654,36.17342049697101,40.65293955537366,40.36461987816662,35.550218960193504,39.32261605893192,44.37850253808217,41.0323231338629,40.43656552198456,44.27373073583141,44.961985986725765,41.47068869689466,43.42634439944288,40.34880155912985,45.5245087263543,39.11395986649912,40.44613455607647,44.603169507898656,45.90471788989996,49.855142619237995,49.18038298898064,50.657338230120004,48.05847100899399,49.67570275187424,47.602748977281145,48.38172655353006,46.9720111430984,42.198831942810635,43.153222961681365,43.07416142796577,39.665178988403596,37.78115919838291,37.92454738218217,36.23821129164021,33.921776210977505,31.933870682976988,34.30398959562717,37.663214447835756,40.76350387913432,43.633175404060765,46.333312422882614,50.84122194218404,48.761309496773336,44.496521075297714,48.67534497422932,50.73419889067227,46.292333713195525,45.90664065749018,50.31171672039121,50.14265556283011,46.81054418681502,50.31091939663525,52.83947071788336,50.28476299780244,49.420645416582666,52.23882776112027,49.15856550190376,50.17064007578751,47.865868871014754,48.95036458733169,48.734357522346706,43.83471945845483,43.91718536063656,44.39529513605231,42.416711382718,38.70125763589295,41.54305200848056,40.78253925482061,36.27308402717546,35.27498745896542,38.04611373570297,36.69936768279484,33.51615168788177,31.907385912096668,31.595283680643757,30.451505941493824,35.27972433678984,33.69428940565073,34.9734086919509,35.975749707436,33.10867505853672,30.63829269821395,28.58960354776745,27.347936891192482,30.25933980210281,30.612782726810046,31.783858206406745,31.04695280001222,36.21109798236035,38.95182800626852,41.73352182876609,43.18331394998516,38.1564405184406,40.555017937232165,43.739163618719196,39.61073798659456,38.116152864660805,42.73679063316489,45.51710163147685,44.914242926863174,47.37103733575881,49.895505439829684],[39.587273232832175,37.18071672144743,35.63972012981657,31.716432719578886,31.78864172863083,36.03180170706738,35.7814047430173,40.26384664840853,40.0760856683245,38.438521409312834,41.50690610895574,45.18699967682544,41.36786996086762,39.155354583566776,43.68030602743266,44.32683838490041,39.917239477908566,42.053209944353384,39.98949660207825,42.234356392359594,42.737053388594504,44.50545701664321,43.43342133805441,40.13776929003347,39.55286628085634,37.72698757725242,37.702898607351344,37.26629141434563,41.246571900384154,43.847631763647634,47.89792053542164,48.933765481124546,53.14902997551611,54.6314998637213,51.276139517950405,47.46517114233202,47.54652121954211,43.769308746663846,41.22443295781558,44.301230721662655,39.41438228204481,42.04317748867662,45.49749511978984,43.40232416265999,42.187688767920335,39.426279073859696,42.701597539740604,44.78254844749744,41.086458293458755,42.99185951125949,47.403972578314246,48.44259993139397,51.90828729636299,48.543969054758875,53.49458039824973,54.63008239159744,50.88977516368112,52.555615335106125,56.69457550532463,54.65389561811995,51.88179438015287,54.593009565585916,54.58499687944662,53.735572097908396,50.39503964806823,48.929626389898004,46.284004053633936,46.2372567810748,43.04127916444062,44.100929868087505,41.99103365403166,44.05170312749583,47.02901558109488,47.78519001650396,49.337066108659556,54.83564947616101,52.4763164496294,56.782479125094625,54.74674782768154,53.8092524862828,53.12128998267012,50.57654687114616,50.92061982191806,48.55701952927529,44.66989883925981,46.31739161080106,47.26040839896555,51.03172903018472,49.57771169704342,55.11442397687023,52.84883203333254,56.02048686155197,54.23283849537347,53.99970480270983,50.00361998935973,51.58457950257202,47.81370413797291,50.70924077102718,49.271044202768536,52.5785462174084,50.89749614915535,50.53685377055746,49.220753433529715,47.67525137468589,46.94346610118758,43.58870344698034,45.56319990786361,42.32358368080686,40.176146546177804,42.61830446633744,39.5128241859325,37.63890045273555,36.971725510034005,33.97257975470259,35.13075399127717,31.800883982934174,33.83059464293393,30.454446215977825,34.49319481453552,37.166558408395396,34.6384753264976,34.53339605553376,29.912806084985625,30.686939100641634,32.100373490723875,30.45986966342678,33.851586566479604,33.90691460651531,35.5142140350655,38.52520955059633,34.6332084169626,38.51801767842047,36.76013430021146,40.57479248674982,34.71901154253975,33.250030634811615,29.133103196811337,27.63071840531618,25.80929578630706,29.13209522610147,25.931939502913938,28.559788962098057,31.886304001010053,31.9569552723297,35.227405603883206,37.765671100026125,35.46909928732446,38.27096814933954,39.321827326096276,39.9962043295945,42.597963745688716,44.993145289510316,49.37248271505105,51.45822742036968,51.222572852909835,50.02942733165797,46.54269080334994,46.069087331838496,44.68469295845171,42.49386600982553,38.24667498165001,40.19401448500184,34.713379762564266,38.75786176215268,35.69803662311785,30.093706311953877,31.946520986331606,29.504119466988342,28.055432881383684,26.704836170394163,29.728583548076838,30.727022764530506,35.734754248422504,39.263919672118455,42.28774408077731,45.56989061052294,45.631572430451214,50.2730018590944,46.85060972386487,47.65004012340337,43.364569721253865,42.081339178688985,42.47485842439683,42.050247787051134,39.17337523917493,41.10127097069492,40.47080727812079,41.85016585908912,36.90434245821309,38.37998381445792,37.023320987962414,37.11022351282382,36.13951361752618,35.23565910467836,35.905664771676136,35.532968349107485,32.425053110957094,35.852015047381855,35.27661656816026,37.740975205358325,40.654947654335864,42.940929923790925,39.71850369492518,38.497025788289235,42.95244916114985,42.50795272206528,37.39261221688723,41.15013392436749,46.29691581489343,42.62650350180366,41.810390088031305,45.65067264648025,46.31473867443147,42.47926761068241,44.33350231256629,41.34988244570528,46.60623103366674,40.157606619112784,41.8736554381999,46.044136554957426,47.54854422307301,51.323908632072886,50.9401225763422,52.74038446941329,50.37481535701906,52.23989627137139,50.36743745771673,51.25333956351123,49.57227520830104,44.823648666792366,46.08659743966181,45.92879269215476,42.30690683799177,40.63942738686233,41.04985030842171,39.003462411328655,36.50209187261932,35.04785395598762,37.06902265983225,40.83210863923933,43.892108423494086,46.516023099889985,49.38335537514851,53.77302048265847,51.78165498747366,47.40616266590378,51.330403480417765,53.44003693301676,48.93558395116296,48.31189915592301,52.609458144725,52.33711934854697,48.84259759058356,52.33789306584543,54.7621568226538,51.992152042015405,51.068614555177255,53.96135904936026,50.931303559222194,52.21854448003414,50.1697582864135,51.293318738238334,50.714619184808896,45.82564578737102,46.23754716541328,46.44592131549328,44.26982101501715,40.86692760987651,43.730742370361675,42.52794300015218,38.04644670625815,37.458543722489466,39.99873156242134,38.222528599945456,35.049836990626915,33.31405613665977,32.59995074057885,31.191730866123926,36.04368741642833,34.48522160120866,36.25615076433037,37.22536899835437,33.955234193624975,31.762022164510167,29.709999614862582,28.927089928448787,32.25506052192894,32.804016494177276,34.42833194454409,33.64434213934225,38.35663545556574,41.17828609836242,43.76082766599951,45.18846026616108,40.03531470980969,42.079211183559735,45.28113810698555,41.28749632178178,39.36864150232455,43.81347449276752,46.68537628707149,46.31855144286096,48.91525253425038,51.45165245343442],[36.58911961624483,34.35151715567956,33.19597368272862,28.987404402008657,29.75244917900373,33.63639463982527,33.68290881163361,38.265918620246296,37.854449718595134,36.50023522131178,39.52723177326928,43.25862151961985,39.850977670493116,37.41737856707384,42.13884906178914,43.03219702354471,38.836984831388925,41.25969298701636,39.56226053240029,42.087792310195255,42.858574249992934,44.997289095885904,44.04084530205012,40.95294504920086,40.1896286029211,37.92753087196998,37.791148792349,36.89078766894658,40.645586267561036,43.00677313156378,46.87528149774809,47.88728622098133,52.026710934287884,53.80041490927847,50.60754489482744,46.946627082884675,47.006193217812225,43.66800391768137,41.3664316809097,44.93827864169338,40.11762920661925,42.482107137785746,46.202122050660165,44.35113020100313,43.468735111763415,40.9062269385957,44.405072820854976,46.13004329509919,42.292502322413355,44.65889564513267,48.910697240836896,49.749116730914245,53.1422849752903,49.44717139146261,54.35359681706958,55.710380678976826,51.88070762989298,53.20195718257769,57.47993706016906,55.7023306906905,52.62545687358253,55.03724555630014,54.71419082995628,54.07887442401065,50.89081300940037,49.14454409201749,46.205536833609486,45.805902277969636,42.410575623729535,43.06446362345377,40.92849845995572,42.91271465388528,46.00457158168071,47.16904093554927,48.641076479470414,54.36914465987801,52.262092218312056,56.474732256311455,54.6293773553468,53.99215007744169,53.19316073585021,50.92084047165156,50.97088064932897,48.953890148910986,45.04339891931022,46.34068192510294,47.367690106357095,50.81899152608403,49.37349710633393,54.65676380623097,52.22589332124957,55.29461437078015,53.250175545728375,52.82776231884788,48.6712162543292,50.00637081064504,46.09708446354238,49.201911441511605,47.648847981389025,50.820097198557356,49.62818283655332,49.25601908276834,48.35568887771612,46.7594862370372,46.547082755261,42.90715359428419,45.00062712134621,41.89990116213031,39.36350401390985,41.64460058438104,38.19106555082087,36.555953008108425,35.47409969217012,32.78188540211507,33.82819027759751,30.716594746197288,33.0137737783046,29.952245470315574,34.092376401529954,36.35001577986472,33.548563479511316,33.14700769223779,28.527461184696495,29.12734108195611,30.286178994212637,29.124478430861533,32.23050287721998,32.78854267181552,34.62644771003989,38.08071642099328,34.297611647639656,38.42281368649659,37.06384541543881,40.6874455408241,34.83661850372732,32.98454457463328,28.829053346488273,27.215998417024284,25.233611013847586,28.853949407581908,25.987595029622977,29.16214535481114,32.054580472023574,31.853507317327633,35.324144574078105,37.39558481462806,34.899349516676494,37.373484715770275,38.31872629077585,38.532662832171205,41.07264378793798,43.1078635943854,47.59380872819208,49.25495083317791,49.18830293098292,48.33017140466076,44.983107576256145,44.70989941314458,43.557546623168754,41.61498241480079,37.75627083455672,39.87235221406455,34.696065280201694,39.00533438153594,36.280222398789874,30.894226552482582,32.884699268232424,30.92437088002892,29.12831605059456,27.375052114714663,30.19236560042415,30.897992857271504,35.96718234146783,39.37543543302117,42.22031143625205,45.27510703706178,45.09131458044732,49.94827368259626,46.871198913840665,47.69748036778745,43.75739101584976,41.98634259955684,42.89913798253416,42.829760154578615,39.89078830074962,42.054704234168995,41.300719317011456,43.20084047720832,38.470754068575744,39.974237022326065,38.776627396838535,38.408322440071686,37.41384664206384,36.19279721253612,36.720582450970255,36.21500798432182,32.70301528679079,35.859364202798446,34.80689991086796,37.00223944790835,39.885923761124445,41.913387685704386,38.49858699948048,37.239125641583904,41.66310081823702,40.876421141086304,35.588864310650045,39.44051381819103,44.52821990795593,40.461320570730265,39.580073877730634,43.44545252790332,43.91646735344858,39.85103222548879,41.77896105621135,38.95383037891897,44.35689439979301,38.175677800719285,40.07643042747168,44.277113288056825,46.175709335186404,49.872234389667774,49.8596049950233,51.774276193863564,49.60267465328808,51.69410241859815,49.85524064387427,51.09313753052718,49.26815480432876,44.314893918314596,45.92216814932106,46.03648797602804,42.14950652146653,40.51066105525978,41.36882246430263,39.269326739896506,36.36610961781868,35.2382190463841,36.6263831048223,40.645057915797494,43.74339863683182,45.97057103171567,48.90663494465822,53.12026122690821,51.09461027654504,46.65665260778848,50.319654556347615,52.33851933396693,47.724077952530365,46.952653454004235,51.077285548450014,50.620437492711346,47.031855721502204,50.6284913221843,52.863404989258136,49.836328432372426,49.01681847921842,52.053797856281705,49.15925168503444,50.74759500885337,48.91356943657164,50.26672884836592,49.37268394450406,44.36853575800521,45.23107776716561,45.37676533134355,42.94404688755068,39.81508018930799,43.02272888899188,41.498052855977754,36.827932538262466,36.75747307388172,39.435496924311664,37.26140499237839,33.91947531860289,31.75603543143824,31.129897240539837,29.207194507594824,33.99758553073635,32.11018865329186,34.15494185025476,34.83520826833738,31.327952774011102,29.441265763612556,27.630417612526465,27.126019028202084,30.83633401386172,31.27329388374258,33.39451377181725,32.39678856512319,36.61920246783437,39.42148871355575,41.815655406431766,43.126671092386324,37.891341567111276,39.643572625011174,42.79012376959385,38.91497948292583,36.67518234183342,40.95834910960346,43.852557448894025,43.67225171002789,46.375235248004444,48.91861816013249],[38.515949679107266,36.44922035837407,35.63791032281799,31.717699728118223,32.793019359946435,36.865000248715695,37.24463564525018,41.86989167555172,41.630294124814945,40.539729249862795,43.63195098744762,47.28882930967098,44.01783236641639,41.66599228531288,46.45685433519628,47.33914194704285,43.19207359913421,45.69742308133565,44.039769184349545,46.49723922733212,47.26518176061274,49.30244498216818,48.33850956383198,45.179589504052736,44.448554455552966,42.30425513493472,42.119119643845465,41.25521521060728,45.00407404630096,47.28451313805813,51.27719107172875,52.147632971449575,56.32291956716025,58.172012675190764,54.933054928065694,51.30637197185019,51.23296483761864,47.927933214367656,45.54545253107428,48.92435282349996,44.17933960709268,46.728574242463004,50.36797287597945,48.38116260615321,47.40189297830872,44.683551764037524,48.07075095190904,49.96631336442177,46.088907063492265,48.152951292017356,52.515387641039545,53.38966711540352,56.88569802592185,53.34199817073307,58.26746483404002,59.6361856851536,55.897408565419795,57.33377260019691,61.584587789639066,59.7569963874569,56.82429336655468,59.35175002499224,59.09973861659239,58.45056475155248,55.2085869267293,53.50608168892284,50.65767695998849,50.27967716877435,46.914306120580115,47.55207951948135,45.422419857131416,47.38301272373091,50.498950350133306,51.67196842094268,53.134535012173444,58.86071786683456,56.702676430906536,60.907188021928334,58.99760105966594,58.281618790491414,57.394921503824335,54.997279089842415,54.9677823334329,52.79547895975953,48.96941737611274,50.41850722168627,51.58322820802969,55.03921644542667,53.72876515390566,59.03465128255551,56.665896540826004,59.77308317880799,57.7061903877073,57.22876373951476,53.03181711406885,54.34887505533301,50.3915918279779,53.43801308942148,51.77003433333005,54.75664595711635,53.69797422010876,53.06982550480837,52.307177250400144,50.43830838925227,50.074102039671025,46.33008452953951,48.13495106768999,44.85690998316327,42.276527103992784,44.812054343648114,41.41069386288125,40.11479902980298,39.19252420414984,36.68362642765774,37.986212746934754,34.95844308251243,37.37918614177818,34.364026200938824,38.568568615891664,40.81227923906686,38.01265544043766,37.52746324577284,32.88408377463904,33.31963265981759,34.2475143557781,32.92969988420365,35.58556594060004,36.210119234150824,37.806927815728656,41.297874320548516,37.15276619150692,41.1015380453747,39.8848042448359,43.77472534960173,38.00263474951635,36.44531483729006,31.958205324780224,30.866075283609867,29.184550631147943,32.860155026049014,30.191575310836672,33.304877883117,36.328550361570244,36.06900370343448,39.488270934597615,41.61941958997859,39.080954850872324,41.470890653102394,42.228587452831974,42.399633087392,44.70142607079525,46.790090154054774,51.15823625024248,52.74920277042695,52.93520718046938,52.13654827993172,48.904407894619645,48.47938550732364,47.54139709086251,45.35664045243747,41.58407904685507,43.92265516797383,38.68988188236978,42.95599246962473,39.975570771514406,34.53569822100441,36.16380392328462,33.9682573590473,32.02065719605634,30.67198222162646,33.465974066720655,34.517620837212235,39.59035588859876,43.080347653106834,46.050089875505,49.06989490025971,49.09331118893657,53.84279899965548,50.74243139478939,51.4075681263955,47.37936198725009,45.50242190870165,46.15676942528264,45.95197322298861,43.17630368960075,45.56129137738487,45.07147050360635,46.70091232815687,41.975135499513584,43.209924229996425,41.73162631444468,41.552091485776266,40.21990178517135,38.93654694011834,39.259336050397074,38.42644641122406,35.06005783620095,38.088650868415215,36.90422345556262,39.463455280881966,41.91691858555325,44.244939621409024,40.987279847751424,39.23485312358215,43.56051478797752,43.078015230840755,37.55193474261314,41.09613775244351,46.3880804160222,42.47135514918202,41.24286006012093,44.98486358895259,45.79977340503099,41.553977192759675,43.072443053744024,40.190081104402914,45.386154265988296,38.838669935741876,41.091314421772225,45.19612878589748,46.875469069225076,50.34568729496151,50.347942958160345,52.64109866283779,50.6637275123005,52.9067143419147,51.43747595008594,52.43383701932888,50.28884416045302,45.68388824923966,47.44391882899003,47.10487091761376,43.17163757074234,41.91890904802087,42.77313870981021,40.119195287842686,37.357233838191,36.86363043155273,38.31869123632383,42.78944652052496,45.68906626130823,47.903713411886386,51.098186254696046,55.25754372498838,53.56547152274288,48.99534094659446,52.42356247147719,54.73199206504786,50.25090569316483,49.14075710113019,53.2805575882998,52.96952522353996,49.21387155048519,52.52566782947272,54.867638141213035,51.92654075646823,50.747383956750156,53.628714890389986,50.637743153611986,52.26584670542947,50.64432798041465,51.70845929896134,50.579643696447924,45.84261437892342,46.66633868699416,46.39378099702656,43.990136920621154,41.11076670582606,43.86813578031643,42.01481329222332,37.709452716888784,37.70088332918423,39.80300562991138,37.434585759978575,34.37301983759147,32.601206917437864,31.24864436608251,29.628247250260696,34.395250755222946,33.100033015105964,35.53175319082374,36.68803735982397,32.927943469203505,31.069539867421373,28.896800267904393,28.840933102795084,32.593411377887264,33.686626486942984,35.879824263244444,35.328344852492485,39.209042168682075,42.27167739976176,44.46060334761189,46.12072578738368,40.87417873721869,42.24738922782502,45.616562477702026,42.09492429829257,39.439601775357694,43.549171318803694,46.71084121557695,46.75699961021971,49.571780111401154,52.0638109406383],[39.294246354986285,36.95631430912958,35.586341084574855,32.122280592965346,32.291317635109074,36.91780251690635,37.0301905347309,41.547366843389796,41.745007618366074,40.484225056232006,43.73458381186372,47.225005266321425,43.54208389753781,41.62092768752185,46.270335499775676,46.79408665746374,42.48075647408762,44.87698951957203,43.100149522755125,45.12273144637312,45.84668165921869,47.47329710705064,46.6181960711191,43.33871811622874,42.52068491456913,40.77721491491011,40.43340839965925,39.91599337191856,43.81800731241124,46.18175505826089,50.60421975233882,51.233476452420575,55.55268056921334,57.216356867537435,53.7304840775943,50.040139939494516,49.76668512241344,46.17656888082044,43.524395544451814,46.36416635542368,41.733717741979945,44.70902156862133,48.09786523604426,45.818650473258366,44.68544880829422,41.71390520104565,44.93493122598301,47.041988964252326,43.124326752547184,44.73296251195435,49.22390935577289,50.17494259280318,53.79897184423486,50.5483906123432,55.49854941903175,56.82804046602931,53.27168312023403,54.97310660147784,59.13477395491634,57.208170112258614,54.627711344644595,57.49333091850933,57.512878905442896,56.88431357734209,53.418278675183174,51.83806435359204,49.484663259560655,49.29925302741869,46.30927325277365,47.24406294568864,45.288421640448924,47.519965895001135,50.346749302546485,51.17748076257359,52.46098359794676,58.00547863780911,55.44258356356726,59.65525997831286,57.44804166585542,56.39674539693811,55.411654791211426,52.6822146835019,52.752043633116244,50.199507945677304,46.48109193584297,48.32139751251737,49.61747210526167,53.28592941540592,52.21330886799042,57.74595070510386,55.68281100305309,59.03369671748343,57.160589374575295,56.743952361847164,52.65514467015047,54.307561113079245,50.44251007890845,53.05951428106273,51.38476183668437,54.36348347785277,52.80812032341261,51.98000163287847,50.866038230474,48.86362349109557,47.90493345666697,44.391423195877024,45.963616794010974,42.50011660038078,40.30424691674865,43.07969346435645,40.084205427867886,38.666017849829785,38.300233125414664,35.5676179751704,37.2336821368442,34.0724059044091,36.4216066886376,33.27015455948253,37.64630493105181,40.10453857005647,37.61745503286039,37.247793221350676,32.53754281888321,32.91829053749658,33.92480108754306,31.911119922632142,34.66524021957491,34.7426088730831,36.000408469328804,39.05491319723127,34.70274530159733,38.37331074154769,36.85093642921596,40.97759776930757,35.25209700597814,34.16161852657335,29.587013783675907,28.846495555934123,27.531907662121558,30.990203465165845,28.3714430732544,31.139893427460873,34.52620932360249,34.30341499588967,37.502160732062165,40.0303940976598,37.61122846730348,40.21043555580411,40.9095906987138,41.56571038189716,43.78861736378171,46.36706223626114,50.52838670292682,52.66883990532137,52.770765562809125,51.55526966008061,48.23236610470138,47.45225042706874,46.410987874049766,43.787497872741106,39.70432442998784,42.0801821593384,36.576836207861895,40.597208439150194,37.19071696553562,31.62205943844964,32.898280073412465,30.32971495422278,28.50309393373131,27.62580906111341,30.523569618674134,31.984182527994026,36.98623807037089,40.607196904248745,43.79860319813354,46.9740315310465,47.38310565716144,51.84053050461573,48.44304084078701,48.96270934987719,44.62695867225332,43.06950345670731,43.17597877970828,42.65426029734485,40.013519639277696,42.38918372961298,42.19545037541284,43.34801173084621,38.60151122199726,39.569976266512825,37.847699109173405,37.97804914006998,36.49259547640666,35.39024776969438,35.74843562517404,34.94650156349929,31.95227462589534,35.19316339453294,34.46101545333128,37.331722171459475,39.77437270693273,42.402658899432986,39.382391553383464,37.64121944609433,41.99813475459716,41.93479609354283,36.62470474958365,40.05548717670641,45.40972417973924,42.014154783270484,40.888866409228186,44.603100617450124,45.66659537921777,41.76693130440841,43.21961579999292,40.11864140923002,45.136721944247356,38.305022074292154,40.23732015098823,44.31475277219447,45.53612928607445,49.158421677305924,48.70117978291347,50.78517981038316,48.5595191488667,50.538465665915204,49.01173196032362,49.65754594686051,47.6861379984587,43.26679085414623,44.666324193002716,44.08504547744389,40.420475301741156,39.113161371873026,39.53928318769422,36.97033083305599,34.59135681290685,33.75550544994173,35.82964871264951,40.05924766802763,42.9037792911604,45.514750085901525,48.651157512781324,52.98721022378995,51.364497628336416,46.84799369718092,50.54039946605594,52.971286849623475,48.633742826121086,47.66420298956911,52.010039284243796,51.937193094866075,48.291328272343435,51.468465562304964,54.05192130589096,51.45488895283894,50.14064677394006,52.83947446304154,49.68233332876803,50.929141892573654,49.04020978848686,49.852973650144556,49.117694540263415,44.496698776673135,44.79098813324712,44.63564827845145,42.53489100730724,39.304091837270526,41.72510565557746,40.30338397867698,36.157866960227736,35.54131276674927,37.590846731663525,35.729380579845,32.805936008352475,31.48716560308678,30.20397492295464,29.18984105841665,34.0314229766628,33.05684875839496,35.037061322615536,36.55020321096494,33.15826539614622,30.860329665908537,28.406523987121968,27.941395044526033,31.20520189640074,32.44846465609399,34.07495951194769,33.84410740384476,38.234653382205366,41.36425008915187,43.75513932724944,45.642050483268726,40.50103491070502,42.205314116502215,45.69843819734922,42.103764279501085,39.808486371060006,44.14231314188832,47.33323243967259,47.15260206618034,49.85017984643608,52.32564658834963],[33.87505275417526,31.423325522948502,29.878901327098937,26.394510228303776,26.478756651522275,31.11859402400095,31.284898556135932,35.81322764063303,36.12105253838151,35.05600684647836,38.40196655587728,41.77434482610407,38.253434223744925,36.489129713898436,41.251863286973844,41.75124309218543,37.602834907855005,40.33443981415401,39.0528648810721,41.040843560795906,42.19216701140826,44.01044400835873,43.50330413531791,40.47898665185892,39.214045095457735,37.144502248258654,36.41353030767602,35.49115642609705,39.18056328374062,41.24707206242314,45.83649245521079,46.17030135629021,50.51397934873886,52.43316082546042,48.95244010521248,45.4403362226678,44.931461382583194,41.76030122313693,39.241641354527104,42.40661385324869,37.9894310121712,40.93741230214992,44.53620106653785,42.400235955392425,41.72582553556518,38.878471465038636,42.37485925974294,44.0080251884594,39.79449361397543,41.8626307784027,46.17031515648612,46.830479134649096,50.430772293022365,46.8456454927776,51.74854669650435,53.42619247628251,49.87413450726293,51.22118345893982,55.54773298642911,53.99605432136808,51.219254732227,53.90713097301094,53.661574173431774,53.45018678476443,50.00612227038459,48.05329680491494,45.7577800687788,45.17498130890066,42.3109374994347,42.90659891575976,41.14336123148011,43.587000533547375,46.214313636404,47.32792202137591,48.237532701958806,53.951108322684235,51.358273434484026,55.41257210598614,53.2080743720056,52.319385054866544,51.0532679776247,48.464098388254754,48.162062952778676,45.84357010650028,42.1626217859738,43.782515332378644,45.3323658543865,48.687931227657515,47.866438688694934,53.21343365897333,51.21196971102757,54.66323521031673,52.58853370151107,51.932571220773816,47.72222010483645,49.366816691270834,45.408831976926024,47.858226870831786,46.01849506558349,48.81173004184479,47.452309451373445,46.46300541427959,45.5974330283442,43.45818255361426,42.778073101110515,39.06823204374313,40.720974192667775,37.362414817364844,34.93517859211874,37.59878051556716,34.4427543480882,33.14666646333788,32.68143059191738,30.13883983669156,31.989121535083278,29.02566667114381,31.711686706607036,28.94422071913829,33.6939358216817,35.67954747819376,33.13563417969748,32.418999463702825,27.667031645505425,27.699652652303534,28.420918345596753,26.385144544363143,28.928427178602437,29.181307849375056,30.544075204027376,33.86566309216479,29.61624029073699,33.51621232582163,32.27349584490604,36.21261948669204,30.47339243754601,29.100194134303234,24.468358099526373,23.72507435394476,22.476977458819842,26.182587153455692,24.164128576136136,27.503375250635,30.52239675949003,29.875604078518958,33.17832209059625,35.3470326598299,32.73670744937625,35.0475007569175,35.55641581549915,36.02436555132293,38.13162966865132,40.6665210080972,44.80299282488666,46.90538211220172,47.097172590094296,45.92965668813655,42.69788728180386,41.89101866841633,41.045861368233254,38.417921113230086,34.599558668463814,37.23607332726445,31.953754672677373,36.17973619020942,32.96552748732136,27.62941111135347,28.92880422117226,26.919106884746572,24.662057460132765,23.366993314277714,26.05179126309599,27.31947188846332,32.37670937786778,35.91684858470353,39.00893220118333,41.989427030156136,42.33846658352659,46.879905123454165,43.74713075543832,44.21861451097544,40.166406817793316,38.155838120321974,38.68165005304586,38.50446482591977,35.80618441716478,38.496457015415245,38.29642144808043,39.971147103563446,35.569204407821125,36.4282771743516,34.868534342575906,34.415142186881745,32.896901269706206,31.44898559342547,31.711380937935942,30.895040633665726,27.471142569159408,30.56211429492425,29.554361403688326,32.12159785809419,34.7486286165785,37.113183434557676,33.93242401694479,32.385064957674714,36.79852758183563,36.459187674375215,31.19865703443952,34.83749000290024,40.0736220482666,36.50977164095241,35.5606666680989,39.358407358254915,40.20986257915661,36.403195396213555,38.10612899095217,35.04662576109582,40.234525206658134,33.724657472596704,35.42897957161529,39.59611372577265,41.131791595592645,44.92113664534432,44.60818515690595,46.44617808797478,44.17144007407066,46.177585676427206,44.42460676479732,45.458952661174614,43.609286307695,38.800129079178596,40.331694093285044,40.2552607464103,36.42181365815694,34.85743732830357,35.62953087748888,33.4109364569927,30.611629103748097,29.57991287076519,31.168161219404357,35.34638997680478,38.328115880335744,40.693159923886974,43.75488598697941,48.02293628717859,46.23141185577531,41.71870488220411,45.390483821637076,47.65496946142112,43.20488754567715,42.309118658840504,46.594271630106476,46.399184949142104,42.790653329670185,46.14425973941454,48.6250766264646,45.93105608283222,44.818734422067834,47.647201744219615,44.580971133110474,45.90644337713523,43.97104407188993,45.071215380497954,44.34930145182448,39.490516396248466,40.00818890528843,40.11529520659785,37.87226416499191,34.573904809871664,37.516753825052426,36.1909865774188,31.646424865563176,31.24001432010926,33.85577529714611,31.94667608520255,28.68213398949827,26.861836674173567,26.247113951388307,24.814733312933093,29.664737766217876,28.158672681802773,29.893170024613514,31.098009058817887,27.851818049900935,25.529551442205996,23.32801689301059,22.624462853578073,25.986832139768445,26.88182258681057,28.686587182964562,28.243610808131344,32.569592074165946,35.63658961728738,38.040793087383875,39.84696749722889,34.69305341306062,36.45918218215792,39.91332361130332,36.29504478691957,34.063524801574246,38.457911384715004,41.609208370558434,41.380743465865784,44.06829014060153,46.553198193797904],[34.013085394376645,31.924911354410668,31.147655557672362,27.53856829120928,28.68512481065126,32.9807890295709,33.66663641142907,38.3005705907412,38.40038948771599,37.71886052190345,40.98941149422449,44.416928517942665,41.36988531488999,39.33763616252035,44.27348495500232,45.04921784090709,41.10020744664438,44.003825585266696,42.88757228076837,45.16076078147433,46.37149852615916,48.439657016966216,47.8655202466144,44.89715955612814,43.703161129885785,41.39616823490551,40.73510049467783,39.54387021927863,43.076581327376296,44.980938943913486,49.329582571656665,49.71115019780212,53.961584593690155,56.10862231359335,52.79230242416931,49.3838508499268,48.907859009735574,46.034224245003415,43.68564885251475,47.12511878634921,42.711371024227205,45.45722011336953,49.189675625455756,47.18673770890525,46.58124315055061,43.8194973793276,47.35452907738255,48.93327334730376,44.719216628373076,46.90921298252585,51.180858580747866,51.79233438488137,55.3633381644162,51.66703113257444,56.543746720609086,58.28317286176697,54.67817227348147,55.883918725468924,60.25541060610234,58.77271890036661,55.83577380698137,58.33987244470417,57.92170950922745,57.71983340111115,54.40926244469888,52.371059575285926,49.77181623458799,49.02475774079248,45.9022772985373,46.22180067429893,44.34254744382317,46.57767021695307,49.43193960272668,50.844602831713644,51.85149389391827,57.71491132386669,55.393406966921795,59.4144442949225,57.39132813116531,56.71338858753863,55.43204309931213,53.01928521287456,52.54621027283073,50.42715661306807,46.754018580947104,48.164805031021224,49.73461222410727,52.89041954850052,52.01596634269221,57.176060035776935,54.99696932069144,58.295762690913236,56.034374585718375,55.26296164579389,50.92837051784748,52.29106368867411,48.214920989167744,50.936365225746115,48.99396572151021,51.61245233935851,50.78456438752449,49.72772957269141,49.28651322807807,47.023735241882996,46.72010970207643,42.74749148392167,44.33423785991486,41.00839675789188,38.232626112847136,40.88803283146191,37.45428139073656,36.57347419164862,35.772386357113255,33.60720697529632,35.35954220828315,32.60697063480496,35.45354115862876,32.86685910082708,37.52750324049046,39.296542645007484,36.500211998182095,35.60005281962055,30.897126768207706,30.82591967672324,31.26788038478172,29.722185278446826,31.756722448771697,32.5461014560401,33.97883568283923,37.6756580729661,33.3437788383152,37.28286830624519,36.44619833465229,40.36635651527834,34.72401147410097,33.2182855569229,28.452930545091103,27.860545021410335,26.560400608664644,30.44742391110653,28.57207940893191,32.1282455109146,34.924827035221085,34.19275953060065,37.61558464237186,39.47670827301097,36.74122165715349,38.77709667057202,39.16265335518265,39.17549342633172,41.123945962141704,43.28608195739145,47.47121556766455,49.06109674726551,49.54533096829857,48.771402463961465,45.73069733475966,45.0846651665547,44.52531210410416,42.06697776085242,38.624778335196574,41.40971082282022,36.355879659381756,40.721648539496115,37.6790024057664,32.47087520919936,33.74600066267352,31.879771877538506,29.43215262491091,28.10541719390193,30.631912877459758,31.820050673100692,36.87539445195614,40.33752489538143,43.32251917785116,46.114830076175856,46.32035250671333,50.988069648284366,48.108795121561386,48.55468218748755,44.72051544560245,42.352319303823165,43.12207895507553,43.10478453031127,40.45831515999135,43.331681992482544,43.1150891728406,44.9583063295626,40.61779474941838,41.45752498999822,39.875630427013704,39.31831861238918,37.65221711863614,36.011151327563425,36.060537364674325,34.94185297733393,31.371747138654083,34.11900949545071,32.611714883169306,35.193450113627684,37.429914105089054,39.77460113778371,36.5507604375919,34.57907966689576,38.84969696841663,38.41483794476061,32.79547150606019,36.24846888765353,41.58295196930502,37.72316927067089,36.397480921162646,40.10750370886947,41.040567110426764,36.80624629846335,38.22283544344362,35.29410930454416,40.457092111576,33.88313524182526,36.14295190122412,40.24665400459427,41.981140596644956,45.45898490118196,45.53825432310449,47.85023662077269,45.946833018020236,48.293348629919336,46.90274145065535,48.03014021969521,45.77646270884857,41.12394697445415,43.08489955062719,42.83631819025946,38.75638750000202,37.57855167478064,38.71340949001922,35.96508663713902,32.976942920657926,32.806915766230155,33.89247616158838,38.63009247230127,41.462536728081105,43.457388042485135,46.7682439228654,50.81617150720786,49.25837471844503,44.61428663348333,47.84121488964647,50.23698114587975,45.80236307709273,44.50393917665231,48.61083712051425,48.34236872918559,44.51511315649886,47.730078965315926,50.09517054442779,47.19901482956896,45.90015360645968,48.743570018220005,45.740666388488656,47.41025022102521,45.88094124749951,46.9477341667536,45.70596933804245,40.987175154457276,41.91804749097493,41.577895280661714,39.11094383581654,36.33686887887166,39.17562317466334,37.21593518343142,32.855456757451456,33.030583316040634,35.19466620350805,32.696653831618534,29.55608844108582,27.681420186236494,26.39488613262377,24.690221624118607,29.463795726765348,28.177708544774568,30.621513743065155,31.925480440518577,28.15808330305203,26.2429027688172,23.98018411754953,24.050289088949647,27.85359539134869,29.183606975364192,31.532747951516082,31.203717034701416,34.74171186222864,37.95678741244096,39.999394885246836,41.90971207873559,36.68127796395922,37.835732372862715,41.37100619226605,38.13080117881165,35.24723232215255,39.30505671607815,42.66073007226596,42.80802412317874,45.68383262734587,48.134976095074165],[35.985231640298096,33.83246651271963,32.87662064377627,29.890538333991763,30.540398505014192,35.34984783260507,36.064377504922746,40.614002662963586,41.16133209480501,40.54085294717093,43.95853175505289,47.19914616636405,43.96174209375199,42.30449401540621,47.17458704744355,47.68346534405997,43.663187966044276,46.5490454027026,45.39329850443281,47.31346811293262,48.50893437069996,50.22909937318414,49.74445702107777,46.66148710550475,45.408462883427255,43.44618140241823,42.627236664011356,41.68895790529427,45.308335037769325,47.19927728137633,51.9383121745267,52.0352662948034,56.40706392890398,58.48237368049908,54.96192281375402,51.54743739683882,50.82335843523518,47.799306591530716,45.21680552563764,48.14340051789385,43.896217435368925,47.06086838760865,50.56450292751859,48.2743174480846,47.52602626810357,44.49465737080781,47.840895636391984,49.6492225415614,45.36937293345107,47.04187553974994,51.45449089328174,52.11976006125854,55.84703573551363,52.45697131960547,57.34842561745965,59.0930799597697,55.693547720844315,57.14310299677891,61.43459924984183,59.87517227704498,57.28352194000933,60.09421239229077,59.90300358755001,59.73010830362022,56.229309021270296,54.28900090204932,52.104582218938454,51.4907599042797,48.65752892304733,49.164365342469175,47.41630487100735,49.82914935357722,52.49247364982193,53.67966978157483,54.54055593484834,60.27749870244095,57.63478550730504,61.643372406304884,59.36499489822975,58.40223285806114,56.97125831950322,54.243794310447186,53.758148639526674,51.27153756518981,47.754630752408495,49.538794754064256,51.31380221635705,54.59862988627093,54.00701309128001,59.32696533269891,57.41598991657145,60.916614142548696,58.770755589169895,57.99543869752061,53.7120354440556,55.30081768647542,51.26195749776824,53.62234619320258,51.59329834695693,54.059353031887376,52.97418086113854,51.57844465816233,50.99543281183885,48.43145923387591,47.59183520334445,43.71533155504829,44.89894909958514,41.31782233457095,38.79756562577394,41.81172593630106,38.738147397382754,38.03528965496207,37.764389319961985,35.58629110497068,37.77239468868565,34.99816226976175,37.87038212588663,35.23437668794235,40.05265212657814,41.94770875396902,39.37397489073991,38.50002940022645,33.75023906236211,33.53659798366125,33.88019615642596,31.733410468298228,33.49339705126692,33.92140253513222,34.90846377994202,38.296657124569066,33.56106934211979,37.13182198040731,36.2177455934223,40.48742883408751,34.98320280399346,34.04327832683671,29.00020478586543,29.067756559328124,28.25803485710228,32.00471879595692,30.33087225212824,33.614722970952585,36.718777130555694,35.95881999563535,39.18151926506483,41.33950721631874,38.66292369580399,40.769180576126985,40.968810089174184,41.298545976243105,43.001004677091196,45.55365430856581,49.47788214252444,51.41922328603562,52.026627180735076,50.99119849658576,47.98197022990685,46.96512673413684,46.49747820579687,43.55060863995157,39.97843606188178,42.95302443488732,37.70248082357712,41.851796110621635,38.346752455010645,33.06352049461251,33.802438192015686,31.557926092068474,29.055930699632135,28.36796987352104,30.90206223797488,32.62347610572935,37.59470987941358,41.1860952726418,44.40353486882529,47.25763592456676,47.893440389213396,52.25773023275657,49.17315918152659,49.38543680957704,45.29856885564377,43.05810180078548,43.252742024909914,42.926472402706544,40.520177901941366,43.57265242132373,43.770061770519895,45.103907444479304,40.8073250277823,41.235143289059394,39.28254923994412,39.04035752721139,36.99588969986084,35.409301216544776,35.299011566645476,33.925432996483615,30.747563808084156,33.50325546697759,32.21450450627723,35.3005170390501,37.16279269311984,39.95862312362179,37.05987219028373,34.71563713810163,38.90131429330253,39.03414122977401,33.44047060444954,36.52821465886392,42.038799066467355,38.7333115506034,37.22828523996968,40.79064256544287,42.18388885258881,38.121501958340104,39.15379078983997,36.02618738420089,40.84150809753244,33.78612200689837,36.055303747298574,40.03614117391244,41.224226189119314,44.635246898468104,44.36607367676607,46.814149442413125,44.884872354997796,47.152210738157436,46.02177592790167,46.70064050437506,44.317117047776044,40.095379324906034,41.91562985316666,41.1285584226965,37.21009915924732,36.317529759630794,37.15064812617194,34.0079560472007,31.416056364748005,31.54589563200387,33.11524835069642,38.02733900126238,40.642880795971394,42.89950097862619,46.36430906209875,50.48022003325952,49.24574219243861,44.55430969044679,47.7726725510577,50.48021781766726,46.27702471088763,44.821898208909175,49.077783177088854,49.10602732357453,45.25152700444968,48.122836446641145,50.74761720274526,48.199188337139375,46.52091273028323,49.08633438923146,45.89097472841547,47.28985684432327,45.73171949672544,46.37395685631822,45.24784980768445,40.85288905574661,41.34268608825321,40.75448315773676,38.55509612534618,35.72675035772607,37.92852863536126,36.037009592267616,32.12180308469595,31.87668314792526,33.51392573820289,31.252877237187324,28.47072296162737,27.310146076500494,25.47608030341784,24.563899540243995,29.32737093437277,28.812204585283425,31.16557248966314,33.12402449110875,29.5094001515581,27.283173783810696,24.5291245063486,24.62796444621978,28.01998545980161,29.981654663330804,31.93265549314009,32.201216060723,35.82560298367118,39.26689831361333,41.291101337624475,43.62920343279945,38.5105096221384,39.62715617697122,43.398997008084876,40.387352763440376,37.5028240293429,41.5720833744502,45.121897688801,45.25895641894662,48.108551323662574,50.49622511958408],[34.13837868435218,31.782311869208208,30.422477260508035,27.663019409002978,27.762257630262653,32.833204432413076,33.40077149742207,37.87159380454836,38.666795595003045,38.018653368177645,41.5250330320732,44.62884097680636,41.254291762570936,39.87346099854392,44.68275588226119,45.006009499360474,40.98710562166648,43.92627007800648,42.90849786829744,44.600221355560045,45.93421166123057,47.53259946129136,47.238332734409454,44.22133246705801,42.75688725975746,40.86267215657483,39.823245755574796,38.89702493400603,42.48402290631254,44.29487536906762,49.27557278592957,49.153994131343964,53.58643994416446,55.655118391836034,52.03338901941063,48.66750606435586,47.76735229872098,44.77990241670659,42.136493274942445,44.928995873241995,40.840418533631116,44.17221500490925,47.62713730406995,45.27361893694096,44.64615126947867,41.56889884291384,44.940495549606055,46.63793915726094,42.23854993828672,43.89186817843901,48.26965463692791,48.84901534373649,52.610121395007646,49.22423569881664,54.09336618808502,55.952010415475684,52.6428941624846,54.06508562405902,58.37005614582437,56.92025015291377,54.41329614248025,57.294895227437046,57.124064619999544,57.1228318188851,53.543159400702706,51.52045864369324,49.59547281193926,48.92229605311932,46.32763489448338,46.845767293568215,45.26174552586602,47.86782637271385,50.30603943573717,51.431429301172074,52.064222281797164,57.756374478723835,54.92476466573692,58.86370845207542,56.457603238915695,55.407657616070395,53.831326629607204,51.01709404247322,50.44030432706139,47.8786648915658,44.43447068479191,46.306151182472156,48.2298376127391,51.48265105457736,51.09507855366553,56.43150882274703,54.69152768857163,58.33029311933404,56.21079266146702,55.38282732162944,51.125971801176334,52.86877345727163,48.86163757206261,50.94625009729431,48.86990004318518,51.27165790680714,50.00588569047704,48.47604742256089,47.80359355331572,45.14802494462814,44.13237239873845,40.30847429894977,41.4259364103452,37.806594489224395,35.39697113301165,38.46994262679995,35.545883481911815,34.809876889612106,34.78024697657965,32.56815569931488,34.98538968771025,32.2438132965805,35.182560120812404,32.655997051537994,37.65372761489726,39.453957188779725,37.02925012076668,36.09080109297512,31.341477589965734,30.973266949383838,31.250160704816665,28.76004378726172,30.48883724375721,30.69260580623751,31.548867312502747,34.809343802907264,30.0291242243129,33.55967145413703,32.59591106469949,36.894269879637235,31.412259706408065,30.592368978098644,25.50289428419551,25.763577435947788,25.190467902577236,28.886195389666465,27.50945697375164,30.819373259662118,33.91500050253318,33.00900331848464,36.13998741112374,38.331277225524886,35.657108042999326,37.742467600024966,37.84518574142211,38.347915301173785,39.97474248168953,42.74658543572092,46.5563247559915,48.76315710710029,49.33256732916985,48.104001293984794,45.083401874139426,43.89377844040481,43.43552406638164,40.292823449500574,36.67895172834902,39.75340687629879,34.49022682439726,38.57900382258991,34.96862406179923,29.753967252520688,30.3201373154168,28.14594066223454,25.519422855591156,24.903219109835078,27.378470281837508,29.219307735886186,34.150410353009505,37.75666472077934,41.02699468571026,43.873375478013614,44.6615072745573,48.909420447704505,45.79310879170393,45.92451439535364,41.81535666043678,39.560830040193366,39.66580938205487,39.33190268477204,36.96475286572965,40.12731553057193,40.45499117774979,41.78132848177168,37.63746178690975,37.89643119228077,35.91058649202726,35.5629256440599,33.44325843989518,31.800941452353356,31.675138773340453,30.3253083454549,27.140681117165755,29.959450404529832,28.80354972616729,31.912080731135756,33.88884849659026,36.71295944067476,33.85744227543056,31.64377113279651,35.890663408499286,36.102231305400814,30.669118369574548,33.820685500866844,39.297630643540224,36.182822109831655,34.850005252314105,38.44948031175342,39.84094932138138,36.026983097607165,37.18415184612617,33.96549085568427,38.787125424576935,31.761577075179027,33.70820322179421,37.73363709938773,38.84103083208428,42.45059820276782,41.988916511493635,44.16635665909941,42.04985694146539,44.17100689926928,42.859889776471064,43.550015237838466,41.34810551995306,36.996219251882735,38.664819039142344,38.01891621040089,34.16044460331817,33.0734111637671,33.8271351519641,30.93270569503592,28.332818094158725,28.119735025960168,29.82335511434629,34.55926517772861,37.23161467707448,39.60586075028709,42.98729369816216,47.1826943040001,45.87262697037086,41.21915067025735,44.60221562688625,47.273474376242426,43.079934288757116,41.7683433939091,46.11085065322612,46.19559735519998,42.43377688639085,45.34553806265363,48.04231323741305,45.62213182862971,44.00445975109398,46.551045938843295,43.315605849280814,44.54035555376898,42.78797880363761,43.456150866913916,42.57815899389295,38.09891943638282,38.40069327119273,38.04407398628128,35.93975487963577,32.84352406556205,35.152947839439555,33.5847706065494,29.5163948286597,29.006052848570217,30.954155267363312,28.98016850628322,26.06833405330989,24.892235035940676,23.491467691889476,22.706045531108142,27.52469596456264,26.875789334355563,28.820344665858883,30.79098231905871,27.475353170243093,24.991406776930127,22.22063150848616,21.93041936166323,25.084384769776868,26.93638929594295,28.642369518176434,28.973536547576806,32.867771941985154,36.29148679022518,38.44653465709959,40.83058935486233,35.77519809751072,37.127620179630945,40.91431852385897,37.8259423800109,35.20764745293135,39.42343212178446,42.92868297347364,42.904318019115365,45.66856828666219,48.05101119101346],[29.864316768283597,27.704112836550546,26.84966730297827,23.94727235857524,24.912248692075636,29.658251111638876,30.703927460890544,35.25365594211166,35.93950195637678,35.75997929127735,39.25050621652893,42.29908299659735,39.46108712578569,37.975297644626494,42.978800111660675,43.518479235956185,39.815499056178204,43.120809638933764,42.6070358582676,44.517808728976895,46.198168510584765,48.15708675732209,48.04790171193673,45.28578090679825,43.58126110179528,41.24543310106421,40.01015868224229,38.55805966243616,41.82595076404919,43.27554108314249,48.125667543116215,47.847386411024054,52.19283146682629,54.62838526630553,51.17655124154917,48.041622460515825,47.02620297882685,44.618821648374656,42.2562049755353,45.55513047608529,41.62596243126624,44.69425438524181,48.41167246094234,46.32149801951092,46.095846720047184,43.24058476924337,46.839286136154946,48.1150469298369,43.5525381951965,45.70476050717496,49.87016726691634,50.19391302239912,53.864098236859675,50.12252000226981,54.90715508665638,57.049669144230464,53.686185291542905,54.70322918930464,59.15230627874989,58.03877308439135,55.23010829978556,57.789022367974354,57.268133362422645,57.568732460282725,54.14687518950584,51.79029269124767,49.636194062597035,48.539359941058045,45.82768512333278,45.866087157748645,44.33737498150352,46.912299772434785,49.373418353181094,50.945694977998855,51.38871724868846,57.304888042720755,54.70629709499327,58.489035346178035,56.26501735139602,55.53705233421097,53.77291354094561,51.25741204277457,50.280995089325515,48.11890432288259,44.706118327149646,46.182832079970154,48.26705547991278,51.10038961540801,50.82189907952357,55.83346111559823,53.97961756590309,57.53858890804819,55.124614041150615,54.033646542452054,49.60415109531972,51.096570293376054,46.94424814643854,49.13049079444176,46.86333147683672,48.988411741061036,48.32262159864072,46.65750840909669,46.533491601202726,43.72397089847737,43.305406826810206,39.1242777161445,40.30410319109926,36.85682131674113,33.94796208498105,36.85673809730325,33.54143855596628,33.23612065235494,32.79597261727107,31.069268301913358,33.493996000737084,31.108861530503546,34.39736194692982,32.33622153154242,37.465584906152145,38.72241201129253,36.06643637703296,34.72876015256011,30.046403469199888,29.331776542695994,29.149043536623513,27.11191429815992,28.235577251823926,29.07526147158539,30.122033852476957,33.92863478800582,29.271897690522707,33.04581323102701,32.66413271472972,36.692062759173574,31.313845677220954,30.081677884904266,24.950430739365135,25.24048259195917,24.631869015363606,28.616652578243677,27.80152444049457,31.670560584129266,34.24911488452194,32.98245962538155,36.27401668057852,37.89768112842706,34.99922017126501,36.6167451364397,36.4906656263819,36.4406589392257,37.85924621747674,40.24700442535447,44.086615396306314,45.81767122912032,46.67789770705329,45.82696895630742,43.03906702924378,41.999241664080074,41.91612896571201,38.9806251775624,35.92036306217348,39.26193065903927,34.42367152310693,38.76611112282721,35.54546584636756,30.685720327709554,31.344956541273916,29.80516321204721,26.785365388284465,25.713805251623327,27.84771577648953,29.35278812437977,34.27153580068939,37.69631508355666,40.74289771940634,43.263243417510694,43.828206329614375,48.257387475372724,45.586454746305705,45.697367854292295,42.0426166080448,39.158337776654584,39.87420732538479,39.986070728396406,37.5949635231955,41.0652497117007,41.296720680059906,43.20857266335706,39.3821320644611,39.633324948473245,37.849126817780636,36.94451884828064,34.796019737201014,32.75765810649253,32.42367352434593,30.891101862788876,27.215124733639932,29.57668812640184,27.73579437936637,30.49370753127729,32.33944331055931,34.844955977560964,31.78170156458876,29.425853930888834,33.604085136586555,33.4233681741742,27.719216532796278,30.94127464542856,36.384494377286025,32.808792758252025,31.325622196490094,34.95295935401968,36.18603858538791,32.06969822499737,33.24747943752664,30.17584241340551,35.18711801944717,28.418345543354118,30.64154813930084,34.72034678958545,36.348160165809915,39.8562046714791,39.894604183262544,42.22845981725943,40.38239899810477,42.81327979726261,41.571364474210796,42.731139039311245,40.33227398400575,35.72916922680209,37.8800417457366,37.61166355656679,33.40695073921488,32.38471674824171,33.77969904615604,30.84392593399244,27.676754824929994,27.983519679871318,28.732366957201474,33.83089071669852,36.510403557296506,38.31810574971273,41.80343345055697,45.74018242726439,44.43480880344283,39.70010821606209,42.69365647474534,45.28423358271086,40.9855794996577,39.427071696392936,43.54972878310428,43.43484841645717,39.527595193266805,42.51865447256576,45.00432866850519,42.29496926428571,40.7367848633469,43.4435651969533,40.35728222029803,41.96931662775032,40.51624898807456,41.46175142628514,40.14980027659748,35.53575757828997,36.44100293071827,35.973405415148264,33.51700534787129,30.819986605916224,33.591847221951596,31.561248396601,27.22875760094122,27.48731084607217,29.625549878199084,27.06614881728297,23.895824407024985,22.091553496141454,20.791917288100777,19.240383937458066,24.047143080619136,23.004627558109767,25.367595430114413,27.098809558050146,23.43252909409448,21.28503398098769,18.71106377716129,18.91678669592948,22.616751249467583,24.471197147532457,26.856304337536322,27.029310986074446,30.16077298936167,33.628545459418284,35.49138880614647,37.85177578029928,32.72144143909725,33.61681789688035,37.42161718867824,34.61282047736454,31.511107092537237,35.501633612333734,39.130312970691456,39.36955560971139,42.27600164901493,44.64153400301577],[34.057514728634814,32.20546609523255,31.833258802744265,29.229241659521104,30.546286314054516,35.266434036572896,36.54744178089521,41.080855389978574,41.79321665808888,41.73082236377959,45.195398325669615,48.2502037359916,45.491658847390674,43.9450024421772,48.96358707491417,49.54373484019653,45.81423246349289,49.04584921822121,48.35007022671867,50.283958014337884,51.79406995259686,53.651661339763976,53.3842498450253,50.46168664407744,48.961292455562784,46.78973207783823,45.70038203121497,44.41404480308622,47.770829613951555,49.28820961077606,54.12004110528726,53.88246239068887,58.22935827119782,60.63951133158422,57.171201404529896,53.99196904088134,52.99285866563999,50.456857041414395,47.99900633230809,51.06949973457308,47.09029113835403,50.27519003616954,53.884395147722735,51.65247160348958,51.18386582130817,48.17228367379511,51.603195052219405,53.180457490377435,48.696536828732235,50.470482091847956,54.787550069274424,55.245876681353586,59.00083747556774,55.48556212339408,60.30387623665595,62.332513598804375,59.02355452962081,60.24696347768703,64.6239498773704,63.33729668669368,60.68239676151418,63.37819796984633,62.98928827342585,63.11865146531107,59.65388403481555,57.45697543813051,55.29019821131341,54.34849945002811,51.552743835376226,51.69395625148684,50.059365013240516,52.51316924206977,55.11947801141548,56.62499641876109,57.23384636678413,63.11803245814128,60.52326972701178,64.37003165380854,62.1170647250822,61.29138282947325,59.572979604457814,56.929756212693775,56.02740572092772,53.6816899208867,50.31536440216795,51.967618162359436,54.04280159454037,56.98980636093537,56.69294389530638,61.78330912302138,59.92194361903569,63.45540244799102,61.07949059815696,60.033821159480226,55.608304553829235,57.05633062018797,52.894982017881944,55.150194579182184,52.867153977414446,54.91221766076645,54.325861830369384,52.54318552841249,52.462255334661876,49.51156850507895,48.902393117702054,44.73220071534038,45.6343951451636,42.04066714328272,39.20564096919591,42.32309985101662,39.13638008603146,39.05863407584632,38.73697463334274,37.07881506100906,39.535363263468824,37.11423471884374,40.329845920675595,38.10459566434498,43.1229735923218,44.577239597580615,41.89816648570952,40.65672331550067,35.963078062933604,35.342212248507266,35.1641773937891,33.126860959582395,34.03335062095482,34.86990870270575,35.69451023577784,39.38769214675696,34.4707600341731,37.94411921416559,37.59613472500184,41.86756114605583,36.61666518431156,35.71726677873877,30.44639560250976,31.045938551832265,30.536592844818568,34.44870675477004,33.41824145209384,37.047455743352,39.86905774601512,38.75814061193906,42.00415241396176,43.80093649716456,40.94832365910853,42.62439927614759,42.4592238044413,42.41858873425935,43.70248213063089,46.08325326482858,49.82220754840204,51.4406766546938,52.48315629509522,51.708050217981864,48.9998084844661,47.89029989822205,47.90175229696119,44.8366560816844,41.76812277054049,45.14032151740967,40.187864327001186,44.42858190312931,40.974651618003364,35.98300924239228,36.404766469008166,34.47556936816055,31.546599255523414,30.929190986969076,33.13292014980624,34.92988688438611,39.810927706968194,43.30835365221641,46.464553442341334,49.0173797807341,49.736607345654335,54.05570511887943,51.29175017440189,51.301513198129925,47.497316133887985,44.70719088228698,45.07003202131714,44.94977621271751,42.72410146464879,46.230645564417976,46.647052933171146,48.17362023205246,44.211940599979094,44.31933205759112,42.265276145182064,41.727395294165824,39.33439927620728,37.38994242900542,36.916299285323106,35.10788773071892,31.795017730901023,34.0382421053244,32.20118639680578,35.350045537149775,36.65297747440413,39.495196550367126,36.69876615451354,33.83151485002055,37.77583835744841,37.995169309711386,32.16358232203948,34.88514034806213,40.46509604520869,37.15356201795999,35.258074152098125,38.62997342308486,40.275238040441735,35.99385228783802,36.59401622510862,33.535702926218356,38.13175067552043,30.97611756106828,33.681497153909994,37.51917303955047,38.765180372743714,41.86828288944004,41.91079056772691,44.77624423126778,43.22011925816412,45.80446643134907,45.08548370373378,45.84584789916752,43.052556310781405,39.0560803730153,41.319854890503784,40.376228953736884,36.2299977989935,35.77289044756221,37.0398083352442,33.38781994589573,30.588503962546,31.701253235657784,32.655527158034275,38.14543392212537,40.52332320383491,42.350506769148765,46.08567621442759,49.924148935316914,49.039608950013864,44.23108972986639,46.9238369995697,49.83422770016693,45.763031067472404,43.84455045904712,47.92580357106013,47.99171523242837,43.950130240959716,46.53309154938082,49.11707793418494,46.547824667732314,44.562016747876626,47.01950932443082,43.85203463357861,45.48251699630349,44.32668216216028,44.84648222972694,43.25120818299903,39.10844343713629,39.90666660760783,38.85523259162912,36.513242472197255,34.22511132553544,36.22902778366891,33.76475545969022,30.137276259359517,30.42537180125652,31.581807883349715,28.802969638985683,26.217937194052844,25.156120179426356,22.67964310024737,21.74076899381822,26.306613801960147,26.248395686924717,29.106635481023947,31.39508529015279,27.505506901508028,25.536907550058594,22.616097859868656,23.433534961665888,26.985335877674444,29.54748216464588,31.882589729525495,32.507911488822096,35.25426381922321,38.90328443313824,40.51652292592281,43.17259389180003,38.1163111402765,38.593229335189676,42.53979239163151,40.10581881222327,36.63620903326767,40.341439114393935,44.17318041208206,44.656940585876235,47.64534463574876,49.93657131578871],[34.43089092217312,32.338709979012606,31.423387700690757,29.536067717795746,29.927807218357266,35.2152451123299,36.344627413676356,40.69881839826678,41.95463470075921,41.878084587410804,45.50177523506696,48.29127885662195,45.25854779290337,44.23130142949309,49.10950427941186,49.32239245659354,45.54926297415362,48.77141991686585,48.14171656996628,49.60655229300193,51.197583784443275,52.67122470910038,52.62541006769217,49.68640098525262,47.9859303510215,46.15441493651835,44.783734438299355,43.72258265502948,47.10084532455904,48.54518207991448,53.84714431874446,53.22224178010066,57.693332568902626,60.013295368721124,56.3138562480894,53.179703682092494,51.85540784757347,49.23452224716269,46.56285908318354,49.08679466360514,45.40538255022727,49.02343164164553,52.382705910856544,49.89114036377402,49.410945615141465,46.18145201591729,49.45002052822082,51.1034551951914,46.512509136065525,47.84174028844166,52.20125938424601,52.62271068708247,56.5032422892761,53.26509817426302,58.04371376792496,60.15527788694987,57.105374301878165,58.49453682802017,62.7946440498547,61.54071873759535,59.24638229967955,62.229960816584104,62.04452790550495,62.33019726924965,58.66745088032464,56.49901585978757,54.879139108001965,54.00973115327789,51.64394904790496,51.95631469297661,50.55423274352733,53.28772933052601,55.560150688400306,56.81906081420529,57.136704876315626,62.855925376384036,59.85980810642949,63.62748550412339,61.0751351882974,59.95060372343364,58.00970108434186,55.05706457930732,54.08262721520223,51.391149536689234,48.23982050009868,50.251724886160325,52.59166613371682,55.60387774235907,55.693328598743435,60.90433484767796,59.40441253233482,63.1949896843127,60.953070552148326,59.87931284355141,55.544210148998644,57.30023586710431,53.2204791154228,54.95809715465954,52.59412940594001,54.477822427344584,53.50728453995833,51.366569578714554,51.074283591322235,47.835159277223646,46.63126604101868,42.630347012702934,43.130842036346614,39.32283621127717,36.837557373339,40.2750207510029,37.55748187068095,37.58322256551748,37.89501773036435,36.20012732238483,39.13964005953097,36.73996455315624,39.977947101833244,37.80766800548411,43.030701128712764,44.512180810125365,42.144368386310504,40.90118535407826,36.212344570269245,35.3949356325591,35.12213702151296,32.37178459750069,33.05002416579033,33.38296432990626,33.71851393541812,36.98840312063023,31.761273647893905,34.82174499274033,34.382690719266,38.922883056471875,33.88854858669166,33.57750912078994,28.14480135994342,29.432662059148612,29.49917016150678,33.18205343198576,32.546818593278665,35.92948574725636,38.93930065540542,37.712607670911254,40.68887080968707,42.73034740422532,39.96171271977119,41.67076268846147,41.29259706652832,41.663034330032055,42.69275606726239,45.56312950815118,48.97675083528863,51.11731649943138,52.19373757424113,51.032190116377066,48.34119033272669,46.79956908960992,46.8719280724026,43.279335036958095,40.092990577084166,43.654572597618646,38.59082616417141,42.55629129042407,38.69166872098722,33.78314486320964,33.61529433893213,31.486112034039262,28.4582104522742,28.44956993799639,30.54140557966024,32.83347549381097,37.52798751440507,41.0947450833194,44.44852331436672,47.025054935622066,48.21339475289357,52.155522103979195,49.21235832838886,48.96541199967708,44.96867067304991,42.3039639146516,42.10599977977955,41.7222795567874,39.76287147099665,43.473021905262165,44.33208814035224,45.422881857242025,41.679245503411785,41.30282158095883,38.93894523386504,38.573127344213226,35.81890111653113,33.888996661822524,33.25229676495077,31.241631425481792,28.330163672247746,30.571724970087846,29.059626445274127,32.6407443832373,33.687838116089466,36.933639612902816,34.49174461561701,31.447711211263332,35.33174920117772,36.126486557854875,30.536799175420054,32.96618569721773,38.62197279868133,36.00454096175691,34.14937085074589,37.40311295695067,39.42278135612398,35.57443368735312,35.97972172692779,32.68543225429728,36.943636062611574,29.44125913317198,31.798285369554844,35.540752165283,36.187029062469215,39.41800189539213,38.93412559346507,41.64613821002317,39.88686516808942,42.24709764639068,41.598720605959535,41.95286310322669,39.21706828146777,35.520633712972064,37.50386615641771,36.187555485451156,32.26295514736083,31.91323666890831,32.82640875082933,29.020304472738154,26.61400704149738,27.750464422305114,29.24474099721291,34.693842526835304,36.89793620685276,39.054132979251555,42.8282196516775,46.7816481086933,46.113347778708054,41.331049289687634,44.15558810137504,47.28650865211607,43.449116731756234,41.5481244507278,45.818314871103496,46.19258434241312,42.24688773963158,44.56027898308313,47.42683651825939,45.2940331438039,43.061640959910505,45.24678302728563,41.88557235261855,43.09054333031501,41.72168541622792,41.879211741314165,40.64290654857296,36.735143435367476,36.93933906526456,35.88597685391735,33.90281471646744,31.3192372627286,32.801755163756084,30.73068278357798,27.41223622133554,27.035575775609665,27.94913171701887,25.70254751055209,23.372010123200187,23.02752924633466,20.465499389037788,20.48592507521056,25.019181771542954,25.53832591931427,27.853022852444994,30.686656242145,27.286299656040764,24.835239973737913,21.528202492426928,21.985176519746368,24.861006383011237,27.84390220461047,29.571414245217284,30.75628413530219,33.783845778440686,37.562480129392405,39.276648391431095,42.29268535342648,37.42914639948591,38.11533380513941,42.22372444749403,39.889831815130485,36.72646781608242,40.56676427458928,44.46408695353889,44.76503133034608,47.62551784342907,49.85634005028293],[29.49885404968372,27.240420109625873,26.100081408532393,24.24986087615002,24.517010480707757,29.84342077768328,31.020055219252562,35.344480259804804,36.70649179754571,36.79837302274542,40.461380705339565,43.12013709075333,40.24127852360346,39.37125692019943,44.27067757824466,44.45605854118525,40.86177412853157,44.3052312630939,44.07057583872725,45.49353218938857,47.39193053114752,49.01008792134749,49.221940908094886,46.51632170187362,44.50743195392734,42.440619936447035,40.79685541165119,39.4282203042751,42.58374147983939,43.773571436582976,49.14653351260391,48.30359261880866,52.75761376180595,55.25439653985029,51.594107394667276,48.62448042700109,47.138341642781434,44.880152056957435,42.35497722586126,45.14542029273581,41.65879206032882,45.18201933227615,48.68228511708106,46.35023726940318,46.23830846098343,43.168106116787904,46.63302532700531,47.884170888407084,43.11981957642535,44.85939411352894,49.02432656283448,49.21579101649704,53.02551887088992,49.51236702051279,54.21983238052916,56.57820713904444,53.52575066689155,54.60998073114628,59.012220959940784,58.0575394425505,55.59366642488076,58.39327842467323,57.99255761749181,58.58724608293812,54.98404166444737,52.54715418646908,50.96779262399703,49.802613972702694,47.55935099201595,47.60927953285969,46.37734110232317,49.24153880325703,51.32775947302705,52.78312479011773,52.816763952900594,58.61427662082353,55.63344185053508,59.254089202468144,56.738235203329474,55.76711534136231,53.639843329827656,50.84474053560403,49.59274314994039,47.1388296728927,44.02385178414394,45.813688774758376,48.31632776818462,51.0536867882487,51.317005743050565,56.33767930213044,54.882882544393176,58.713042329080054,56.33564898285706,55.092625187188624,50.70184158046877,52.44061210869426,48.3309777598842,49.91827939083185,47.44729536584736,49.18724506626327,48.366517232719595,46.129281858002315,46.034943535825875,42.72299640742751,41.7901072751429,37.63076310200823,38.23900507720016,34.54299232034687,31.82734318087715,35.14920123976413,32.277741077304725,32.41984100874722,32.65410586170459,31.163615958563792,34.24405245966721,32.07121958272329,35.525853942130794,33.72677141313933,39.12533975528141,40.208428896031705,37.847526081461524,36.34924185741286,31.738953485968175,30.62354400055958,30.075706360952346,27.311093160340338,27.7126766699814,28.204863747987403,28.61842706929396,32.139213500213394,27.025085783695754,30.33148863725203,30.155892062979394,34.485045055910156,29.44965038266713,28.876472076554652,23.426326328363444,24.785682131206443,24.98749398965863,28.774166125885326,28.70193276970648,32.43660716569751,35.079488587883034,33.53384552164828,36.53511970829117,38.243072460526754,35.35912112086102,36.79424579118499,36.25298159840747,36.46003878604923,37.38203203203004,40.207566934092206,43.595841640063384,45.718118090794505,46.834240769373395,45.706294991907676,43.09462714048404,41.5460724655331,41.77278164920403,38.212406601271816,35.28548855381589,39.02652806695249,34.2237640359931,38.310059275057846,34.67848438263082,30.056378650943593,29.92552831362588,28.336497490500793,24.98271775385591,24.60031896295271,26.43942591874035,28.526407035048713,33.19711306808053,36.65088128946017,39.8775902200997,42.27186293598944,43.37663303530496,47.383303336184326,44.68368969242955,44.4239978874556,40.70668961903441,37.67047577171574,37.88387302447851,37.830254255422105,35.80171303381813,39.718644139657385,40.518788035500734,42.07359316585957,38.632440229644786,38.231151649890116,36.082009177426,35.200431675582735,32.50010032248029,30.27911986697604,29.583421082160445,27.60605249148769,24.22696534383358,26.328582110476024,24.508834027705962,27.789626446118067,29.086490480396296,32.06211487682974,29.41247648768613,26.565346908510154,30.593573433919907,31.073925012810655,25.46625659835682,28.202303121821448,33.803114439221076,30.955662496119995,29.300841019374637,32.72097213626226,34.49547127269517,30.721539113093836,31.460704412935623,28.15386348058752,32.720303150714166,25.48549023571432,27.57232630525399,31.518378844314913,32.58193829671989,36.10346659689075,35.771532173006605,38.149610245794705,36.26449586381924,38.641641763477885,37.65272159537476,38.47014085007347,35.922423493186436,31.67211134353694,33.782501732672706,33.09625395096093,28.95425849515654,28.22361081367809,29.51599820741101,26.185024556301595,23.220967489728356,24.037675366430918,25.006548190112103,30.417474501060536,32.82321275380227,34.756506160940376,38.439767834550516,42.37380074255344,41.45987467905032,36.66692896436943,39.54723209377944,42.48115116320572,38.47528946483165,36.68921669773795,40.94213991096676,41.17075406462761,37.252025517137355,39.82534662197185,42.5969177365695,40.32775949558355,38.34478687684974,40.723763015904936,37.43456721185805,38.73079464124991,37.24824685659596,37.77295968450761,36.58962236281027,32.30430600510356,32.759450592035904,32.06951752686043,29.882989418330524,27.11422858824938,29.31716498214636,27.393700195358463,23.432486845545796,23.283036504333218,25.03181934248889,22.721789924844774,19.812331083572474,18.753298647440456,17.06104137118151,16.487262979023928,21.232912465653808,21.044426860980174,23.087948038641056,25.62765711074165,22.349971799384416,19.769734730561346,16.61096562094985,16.799384913948185,19.86802374139309,22.565610412527853,24.50010377172592,25.502627316529633,28.482597817720055,32.21698472339971,33.97440090304709,36.903771328738436,32.016234886385476,32.79439876863572,36.870678019048,34.48801179986613,31.41368599208854,35.34230524852491,39.18631640294297,39.413655494564225,42.25270918835198,44.49415914288858],[28.300647476066914,26.459445912570523,26.204569754251,24.15531803824321,25.627789377895336,30.411157531493618,32.1002001883008,36.50364514997971,37.58434977647332,38.06144698048696,41.61924713855861,44.32921467238582,41.97090611107662,40.807313453109536,45.87261448804018,46.35883506915836,42.99096491808813,46.62255365845643,46.595972778441805,48.344540172064164,50.34255502934079,52.28291788043504,52.44873289601497,49.83522061789326,47.85645089667307,45.46742752138313,43.89032755839659,42.19188791425012,45.166518061503716,46.18110622157624,51.25606967486791,50.480860123135265,54.813477483457774,57.56578116925472,54.10869140636983,51.26091426754934,49.8422399718036,47.93509219827332,45.63707565725287,48.842471426798774,45.31930690084065,48.548950454754774,52.24871789702244,50.122140085531164,50.142572256707204,47.227155332015,50.81046303527057,51.91651098626672,47.148669525013126,49.1886502978056,53.26907669958487,53.37909369196902,57.11229388918869,53.38494105612278,58.05861432141285,60.49996939907291,57.342413258576705,58.20286182998091,62.68324129952558,61.84762136214137,59.12975554118106,61.674900990323515,61.03633007008377,61.68352749633416,58.23999388157578,55.662010482358326,53.726716279617804,52.341322748157474,49.827634839646414,49.554913540483795,48.226511577005326,50.906103037334994,53.19059550379121,54.98976665513144,55.08670484923911,61.062122859347895,58.38974276025668,61.960866594927616,59.66809858595363,58.9746138900613,56.84322002018095,54.309419801614546,52.874964768770944,50.73678007778625,47.59217566985863,49.06220664716944,51.543364495242876,54.0318522231429,54.20433634589706,58.99157034977861,57.327143132925976,60.98814614066604,58.39237795803389,57.01060764296612,52.487956369459326,53.92011883872594,49.69185138615576,51.566150517393325,48.99974369181418,50.56517166264867,50.339175161453085,48.103840656751586,48.48021727737921,45.13379559271004,44.751139955921474,40.32815456551977,40.99985002371938,37.47663883970958,34.35083422628902,37.490659092664785,34.25657973997646,34.76067904195127,34.513731627861205,33.40877125762551,36.28178564872561,34.32706498298426,37.932075469119745,36.32907494322126,41.65081489191773,42.47443510111132,39.845795815556784,38.14764058275321,33.60060613663758,32.39727401557442,31.594590967840272,29.456375312578974,29.435465189620846,30.563571109044965,31.196512025552906,35.150600329602895,30.20359532461163,33.640210081478884,33.89271701247494,37.99622158203032,33.05943240318546,32.139685626207076,26.76912326061566,27.947394376992598,27.906012643823427,31.887842322906465,31.863854214478923,35.89260334768347,38.25791044526078,36.62912230542572,39.80099383335489,41.131853532237024,38.11498895576052,39.25889569681178,38.642600232509345,38.31992221246212,39.127633505004724,41.4722223416891,44.935354310433056,46.457540052691186,47.85232150718605,47.17496999586191,44.76952994251057,43.466581699313835,43.96564490500444,40.717964896874065,38.22016996653573,42.03411659666897,37.52139413991783,41.800927673273286,38.497110159319014,34.018520829209805,34.10099322679779,32.78990889143698,29.354867392513793,28.651885809256697,30.359412303527556,32.132995628143256,36.809581753497206,40.12458869995393,43.15512055057825,45.331109939300276,46.167897409360165,50.367730449625796,47.996220827409346,47.782022311475544,44.38359876897501,40.97160462001562,41.634153880643424,41.85626319808826,39.7959406079749,43.79452243245644,44.4307222809706,46.32957486329496,42.93450322705922,42.67218483370131,40.66059701896998,39.56286661356599,36.91623050043704,34.53055548174823,33.72818601353936,31.627919529420584,28.016409854602504,29.723800275709458,27.346484379871267,30.335722148117647,31.33898019935963,34.05367640216184,31.2868463949821,28.17860485689967,31.99483490762632,32.15996413051769,26.24706853651569,28.842505635670395,34.4121984345401,31.105258857708844,29.098898282108433,32.42887365085792,34.156064369514006,29.90496834050429,30.41118865687754,27.323175943523225,31.931011168452315,24.836273886623683,27.54948099512962,31.419463950151115,32.91094731971397,36.074000553994345,36.329742249774135,39.14951844470835,37.71242970723862,40.464788483898815,39.77801764538942,40.87654563164076,37.98687001999679,33.7993815181587,36.40080455254293,35.78768349647632,31.396668634301623,30.981374743308535,32.77233667611096,29.16030333916457,25.898222626387835,27.475053324161166,27.64344922481143,33.42367352634062,35.71502765468009,37.104601005283115,40.933331818555935,44.55499011683167,43.77905756279474,38.92772481201483,41.295480492553125,44.226079658339856,40.20205449361107,38.05835067355975,42.02228566002613,42.078053603898795,37.96991639424814,40.47497980944218,43.01931519916498,40.45305355106399,38.38966893559513,40.851736514786545,37.720919149419835,39.475622329508,38.46591889305829,39.11055553546086,37.321492568450985,33.12594856287997,34.21080271301818,33.1309367757817,30.6139038435755,28.52987692253956,30.843099227942012,28.192333713832518,24.34416122456226,25.090870282428362,26.503139756004888,23.426298756594992,20.585547220831895,19.16318940111429,16.89659945047093,15.619612969460151,20.207270763452108,20.039449456047517,22.93631567407659,25.36683119108167,21.5047692668532,19.529056422972513,16.532797787710866,17.681684029306446,21.304017885518604,24.15275570364181,26.772453799405127,27.638574127718286,29.69946945766469,33.467648176801404,34.8224039855934,37.72551755831402,32.78771333186396,32.91513025709298,36.995893622885376,34.99292874898675,31.269809101404917,34.80571929151582,38.81266830995922,39.42752704920997,42.44308355672333,44.65118325476824],[32.858448376156474,31.146963088605855,30.961945884706267,29.328595072501717,30.56235688286711,35.54456677312797,37.220031711235336,41.553338831200804,42.81712573825356,43.247884548171584,46.843680107165994,49.51189858998656,47.00018559029415,45.945159503590915,50.95828028574611,51.32808404825563,47.84287388264717,51.350621559815124,51.101795753180156,52.70184203950618,54.5355006259219,56.22905162123039,56.30794969200106,53.516202759521974,51.66975527278601,49.56933712824569,48.05525608190993,46.639245246246276,49.766158157797456,50.894645725026166,56.12731990636609,55.30868249630901,59.70402780379219,62.339307223324795,58.76156915290663,55.838164426635686,54.36331708523331,52.2111100339241,49.72103048473793,52.51631284289566,48.997964928826676,52.493740176893034,56.003440580244245,53.64312898135748,53.40644384674904,50.26768397720704,53.64295441829084,55.074637151331444,50.35613582301721,51.90240534526254,56.149014428152135,56.38885490578423,60.24046631861127,56.83052670928187,61.536906937695896,63.86337598183586,60.834038774466194,61.97430480619476,66.3513135214583,65.33271689119111,62.89091356353018,65.69018219271358,65.27595368406696,65.78684279348263,62.2130764435036,59.819434761682814,58.06896272934083,56.89828614697616,54.45753701665774,54.40781759973874,53.047435331584126,55.73581991942872,58.037518221714606,59.633002246763205,59.80877164801855,65.68566527962228,62.8449999855132,66.4799215411732,64.0374966240014,63.1207780108339,60.9919221920587,58.21096817158293,56.8890319840758,54.431778618312634,51.37536448050131,53.15667693103696,55.67695123647213,58.357963562904196,58.6048618770579,63.56066659732807,62.01453645207158,65.75508281192212,63.28094167090644,61.978203726258954,57.51009998698967,59.05434331730674,54.8641336541211,56.62840227634665,54.06754566342837,55.59609026703631,55.184012888788025,52.792394395057194,53.01763860737657,49.51972131658915,48.69529958823156,44.41209759398888,44.750487353541345,41.02450184464922,38.1764407850419,41.58906804410703,38.67796665340331,39.2609820233293,39.35911349552988,38.160982989719216,41.17894112505967,39.10105942719227,42.598146858678014,40.777110362479725,46.0764493171303,47.17224728405991,44.642665533414146,43.096398861627684,38.49063014119284,37.38909711036694,36.69173661671106,34.260298751686946,34.21635419888763,35.049841708585866,35.35739570192665,38.979518929769334,33.74321390618839,36.77588851181334,36.90175707122805,41.310094899030545,36.51067633587658,36.07459892094184,30.576909352937147,32.1170116131485,32.27262341939515,36.105351328599156,35.89453268435445,39.607643185962516,42.312318924453955,40.833878734864946,43.885224597505214,45.53227166860014,42.60784631400007,43.91767664722812,43.27432350887823,43.1993708164983,43.89937410558716,46.4642594514486,49.758781442113445,51.45760996561728,52.92282403227735,52.1047800574364,49.705085517998064,48.198465969711854,48.69403241654232,45.15938715890982,42.49329659925294,46.32500639831487,41.59275366183072,45.685186674599656,42.01279540282169,37.380436389499664,37.12161096373601,35.35171564858104,32.03491877515257,31.899889883585537,33.707310785983466,35.88695175498248,40.50024852545498,43.930214053589495,47.145554756904545,49.42469071333263,50.55397885832424,54.53362136538554,51.94557423476241,51.587322524472256,47.927907165062315,44.753978850626055,44.86676212730483,44.750700881472795,42.89738486628309,46.91935585631475,47.836368069228875,49.21795148660826,45.72745669037639,45.221314516844686,42.88575292365941,42.211718080422635,39.287388197553206,37.055810516598974,36.14219042618193,33.817115041597965,30.713725256083155,32.41957655423289,30.310400985836836,33.77802335522658,34.31129913834007,37.46100220946543,35.07010235705768,31.584278261191482,35.176136458099556,35.91980069298568,30.1122906480571,32.18098428182488,37.83066058985347,35.08693998486215,32.83434234120819,35.876249380864245,38.06737171792838,33.94178183103462,33.91873015686281,30.77595473220567,34.82050685876108,27.33308361899598,30.224546640989253,33.79286702809555,34.62261976785516,37.461447100435414,37.43666613438654,40.61993301728885,39.323740871272584,42.05370980596961,41.819325047246394,42.355834494129404,39.205538267068995,35.709710922509686,38.20019249895619,36.83451066677471,32.66414786995734,32.7509231351989,34.19061704664506,29.963731461656284,27.285845640641682,29.413473673303102,30.106429961390436,36.05519757491141,38.03560476920789,39.649155146119305,43.64705908882448,47.2575566595758,46.891666891511605,42.03131228892066,44.26929975813294,47.52683451959657,43.79713039947762,41.44460332736908,45.45799937539111,45.797454310351625,41.6720769721627,43.73071208169761,46.47514158990806,44.241127318608214,41.75822761950816,43.873531275028554,40.60457239467416,42.137556485325604,41.24745062213374,41.3595328125644,39.554823389926625,35.89748230799911,36.559911821587015,35.02187184650087,32.82420288448,30.9237382603201,32.29035219007394,29.519962812499326,26.50265810718041,26.876146512765303,27.290178909527206,24.358529165053096,22.24650367082423,21.890809479294994,18.619901093839974,18.46035562870154,22.670824362038218,23.62502723319777,26.560980449661535,29.59567062175443,25.87372542550216,23.841646433205778,20.51684122202042,21.812034129220958,24.918317775562798,28.352438841981016,30.567300992498073,31.935456039454195,33.99140625095929,37.89282623450812,39.158728542626406,42.370913549224106,37.57863032259504,37.58213599879941,41.781226270903176,40.00974014873995,36.25138051459589,39.658867836025564,43.78086324753273,44.45623358200768,47.45078438860475,49.587442947941774],[32.55734151054893,30.603425498071516,29.869245663278818,28.86910875742065,29.25077278186955,34.670033671735546,36.1869135531561,40.32833172083198,42.04780444125685,42.46751033663821,46.17551709699185,48.59663408766066,45.8791552458838,45.27850774252549,50.14647896718887,50.20566361000324,46.72530582580021,50.231354578878,50.091062872834996,51.29431021145819,53.230117686591036,54.62601246477813,54.925771407113885,52.172678038927955,50.1243517786303,48.27491624265979,46.50086887660416,45.232456759419755,48.324654971630295,49.353262098715234,54.95608959488417,53.79590404045181,58.27458981231747,60.842376058514816,57.09260205945405,54.24121838898139,52.48283544553782,50.32401411134271,47.69532255062893,50.06204144500637,46.84792757191743,50.65969599245849,53.9688486550364,51.43433784981916,51.25379502937427,47.98255492153298,51.23947214466001,52.652808463011084,47.843323549520775,49.08209442900811,53.30485258694991,53.4755404644324,57.401322324616196,54.18875036399798,58.82887633223988,61.25867476346555,58.454870021274616,59.676235106057526,63.989762376587514,63.05165419686641,60.886827199095265,63.87948181590766,63.60095937968599,64.28214940702965,60.573022714263,58.17133549653856,56.88219144324184,55.73276611134713,53.670652317989635,53.727680255504474,52.58574033137589,55.507994703041014,57.50210306719782,58.91412150754364,58.8123773313436,64.54317418525417,61.38525417048676,64.92117755233488,62.24639616893057,61.10894678227767,58.77671141454658,55.77635309971107,54.35609602056992,51.661036539522605,48.806150016750024,50.84319667797184,53.59444775278675,56.27583882303516,56.864930872971236,61.87442921070542,60.63812824451717,64.58181032137388,62.21130253722909,60.871024676283234,56.490781451473936,58.28431219222217,54.17940463260366,55.48864762018876,52.86365210979827,54.24441655173246,53.51790555986392,50.83047516921609,50.89641812589994,47.1676306371287,45.879520864518106,41.74176343611688,41.74484314266724,37.872238714779684,35.31449999408175,38.96736812711462,36.46256794077928,37.14157105690544,37.766679868398874,36.57176789038068,39.97934913006562,37.96608422883992,41.47698550197966,39.76659829234022,45.21495764589023,46.26974652651683,44.01158913577281,42.44526486215926,37.89089261838574,36.6088538420358,35.81411292631776,32.816557729456775,32.54926547738766,32.96137937957473,32.85356684494818,36.114687899244466,30.66950610904688,33.342219890575414,33.44776320303515,38.02209450842161,33.459721826878756,33.49614952558463,27.92642496945468,30.05116213942657,30.70428868961221,34.311598359648535,34.512856914894925,38.042515290724076,40.81261495433299,39.20459067760564,42.01161146845978,43.79502603052833,40.94751021572871,42.23589873823997,41.398550604743775,41.65082386257999,42.12494788901483,45.087345966783694,48.09054284479385,50.23824399630887,51.71097989362358,50.56466046094724,48.193377000609225,46.332029999505195,46.889210965201265,42.93861384824762,40.22943460791167,44.21723745817202,39.47323841610332,43.32136222326881,39.377170342773695,34.91716349096312,34.16362061822614,32.34976628938541,28.927090987370157,29.25389617630307,30.88326320739724,33.42125141471873,37.82001501184481,41.25926109952149,44.59751298306072,46.853552143443025,48.35796633962553,52.00887190306039,49.32143159510986,48.74674416919717,44.99268475590834,41.88125076621199,41.581403476945674,41.298732953714946,39.67919942566868,43.88802842633122,45.16141154922165,46.25225995460227,43.025515673721706,42.10993717518228,39.568474620589114,38.945413390010806,35.73623039152105,33.47440691090567,32.400894259555244,29.899474546437848,27.107524393111756,28.741766929603585,26.877027277930868,30.667192803867085,30.996041834761147,34.45579615062536,32.36598090331609,28.775338828762123,32.31834203741574,33.53245237036052,27.990024831890636,29.832266857313126,35.51342731877852,33.377004046182904,31.2298560582214,34.18454146731862,36.64491843807709,32.96338003112779,32.85392313163541,29.510833220941397,33.28511344195423,25.56654526642944,28.03894501128158,31.547939365681117,31.87991219501155,34.927853466882034,34.41249942137833,37.361136164238005,35.83628644219489,38.35755115132002,38.11987377259558,38.368714948687426,35.30293444929962,31.98555574077332,34.23869199588737,32.6362382958439,28.625803591752152,28.75822741486462,29.943857346844876,25.636806151073344,23.22516550923241,25.373329330927067,26.45514000870896,32.34979001247941,34.19451005865897,36.06379613785224,40.07217285604628,43.782457901693405,43.56109477116791,38.73646656330174,41.10586281643505,44.51567408248082,40.97223794233272,38.67434223671733,42.850085071554794,43.43712693054236,39.42454014431819,41.292491568849954,44.2684498471467,42.409276556411726,39.77517396011105,41.678276679300616,38.25182740357871,39.39652001521488,38.27658173838522,38.12386133133617,36.679535129880946,33.17029226155688,33.31193586915343,31.847048781815506,29.95924134907221,27.738800356025997,28.731870128436434,26.370817782443435,23.542897740738134,23.300932369511642,23.610855611135175,21.19660911393189,19.238729476267018,19.49759626968143,16.317663768774892,17.059874990396285,21.226559071432465,22.577199012068593,24.894646490822232,28.337387318711848,25.137737279482835,22.664661538577107,19.063300847965273,19.946541479817583,22.39898143333091,26.135552879441324,27.811445440516557,29.641069967068105,31.92348732732549,35.89491900359958,37.25974724891128,40.74145960858888,36.143942466201125,36.371984800379614,40.67102771551477,38.960419669998835,35.5386493739165,39.07278768384346,43.197612331109084,43.678293656031705,46.5392157380579,48.6110748581102],[28.985697189846345,26.876293717659166,25.897592401811462,25.018984528724843,25.19806554190355,30.684419797554412,32.20992669708874,36.29488028542594,38.13356434906445,38.660154449073,42.39190293723054,44.69348476990188,42.06114818783979,41.61564924362977,46.46217669388908,46.47106866596314,43.12201571363689,46.75962736600083,46.88979109970493,48.025767890124534,50.16585103604235,51.63055544684559,52.11602259572051,49.5312766809511,47.27144543695204,45.293187468050505,43.32381644999209,41.868899325903485,44.7966400664547,45.64338489185615,51.30992801254553,49.98039607660008,54.44480906077038,57.1160970330224,53.38540725766725,50.6548325190011,48.77193761282434,46.859300975418236,44.32698951879787,46.836737371948956,43.783566894302645,47.541126959886164,50.919956854100484,48.49266413945661,48.568135210555134,45.41178614323927,48.7871542599681,49.91481288036531,44.99625988400413,46.50041128014694,50.57370768133347,50.590057458462134,54.46003558256541,51.072382421816734,55.650161877327285,58.24927026774602,55.45961113771197,56.475952534287714,60.84513163696627,60.11537036524773,57.85575024719832,60.72967096612288,60.31725421210216,61.213966404588405,57.54452298921713,54.96914016093873,53.74511884874644,52.40743560564225,50.46676374082592,50.36270745665831,49.35766284939313,52.376793434252654,54.213120185829666,55.73108671525614,55.41868993696543,61.170684702711775,58.007624293129666,61.43212515999836,58.77034220777059,57.721954633236194,55.25815829733401,52.35522628186821,50.747440185231234,48.203887237581576,45.3905229513559,47.289653706696484,50.15865857468368,52.65093271034464,53.378467321721445,58.25610856929372,57.07553912002873,61.05339802938165,58.60932168194746,57.16017302966846,52.76348125147102,54.56741183192379,50.462773988408074,51.626966826001684,48.934705743697,50.2106863496659,49.5484651560077,46.780613359838554,46.958866327846266,43.1721643506196,42.0343537386122,37.80320557188169,37.86176162849945,34.052196716986565,31.353941231992394,34.94930538604254,32.377089650838805,33.14732907856888,33.775674033339335,32.72955342959494,36.260657053542865,34.42078433473219,38.05685497842364,36.61643378538631,42.159799887301276,42.94316689632261,40.730248092060855,39.0029549331851,34.53909108909628,33.04386899128992,32.05410339913342,28.997927789477252,28.496906247129047,28.97128756558958,28.86567580643256,32.26573057951177,26.88141460372392,29.701027141128563,29.993916434801537,34.427967889524076,29.8896225332835,29.790220070995233,24.218998340341038,26.469061473674667,27.277657517360183,30.89974357736931,31.526417368748803,35.24278967131211,37.753849316988465,35.9294849984586,38.714969584877814,40.27791587606424,37.373295019378276,38.46781218176304,37.503403029758715,37.67881480553866,38.05621559765539,41.02692813454105,43.984232216103315,46.168660743641524,47.65784600590735,46.49750345692122,44.181097763369515,42.28565485328306,42.946427823372616,38.988349386608704,36.45835043164968,40.56991057854154,36.022205486439056,39.91486138560289,36.12240924649702,31.896393971622537,31.12874262774194,29.69828176785842,26.05505760189134,26.167851730438773,27.587974853031838,30.008577972603238,34.34863551059577,37.70007961786915,40.952566649267176,43.07951984752219,44.552582852642345,48.21787277179254,45.690652340482444,45.095907708357856,41.53328378239965,38.175699770565785,38.13558003979035,38.07452868946147,36.420644414567704,40.7744320919827,42.02364088837639,43.413767635163794,40.41863021969388,39.46917406149553,37.07724112250336,36.09727842450995,32.921589817152636,30.454225995578682,29.329714733921087,26.843105934681883,23.72615494246513,25.251074321251487,23.16817909305214,26.786468065888457,27.292735179060998,30.594769173656438,28.36852659034073,24.899270471305837,28.58012140870874,29.605875413683563,24.052944738425474,26.123968704517498,31.802195445359246,29.540556275395527,27.558219996637163,30.65797624322407,32.9573771391509,29.37081609906829,29.52799409576813,26.131155976880432,30.15977934676083,22.576217702050087,24.78907333660516,28.499568462445193,29.134257273389096,32.48352903498258,32.02933630785133,34.675874361594666,32.9936629663459,35.505122919743414,34.96516349948702,35.55885174219908,32.66490422198036,28.87106696785251,31.200734458065117,30.091292418038968,25.897060232106984,25.700077347703548,27.163800345696977,23.230980542860156,20.35810183271558,22.243910927030942,22.964482632657838,28.853765737969766,30.86183988954191,32.606959846644465,36.55084579949389,40.281005614688006,39.86364470532986,35.0219797666579,37.47903279063343,40.75202062208483,37.07810119963043,34.88231601106018,39.084775414546634,39.582289668521966,35.59333503958662,37.66654750875357,40.6025444865317,38.66494185901574,36.21502477228739,38.26742211782692,34.865932463385725,36.04416671849568,34.78627715172635,34.9112914128084,33.55863738090568,29.71857139255602,30.001358402716637,28.853840921632848,26.81601411210212,24.364434033728987,25.94245065552847,23.75396105400715,20.34153446641864,20.201830889874973,21.25975120830955,18.83302601451007,16.32644184517511,16.05239512976812,13.583140935339776,13.953362163182073,18.367209472263163,19.19370203339296,21.230510349104488,24.527873326071905,21.480437954755928,18.827779240442457,15.252602941612551,15.904544423589307,18.415475087379864,22.031729827854438,23.79798106670186,25.564696327621913,27.838225066043847,31.791639352600086,33.21001442052064,36.65807733991026,32.05893571973717,32.38984914202665,36.67721115119522,34.92538256834103,31.61806711917643,35.2380593919061,39.31697164349585,39.713571685255516,42.54160912108843,44.621098691036636],[26.61286622356372,24.1543716877337,22.470223848572953,21.683511476696918,21.06559507284186,26.802985453770876,28.04308290293997,32.037203958725925,34.052547538671035,34.468195666489244,38.24198680074195,40.43107400651634,37.645506698796574,37.442489184330114,42.17947084382439,42.02998176973209,38.710874333099056,42.37187679736007,42.66379394726599,43.620136258546864,45.90069881700188,47.31746595405211,47.98534426543064,45.54153140315506,43.0839275684708,41.10224753705206,38.93946158712505,37.436929900858935,40.27371418774656,41.03625456357477,46.84148796749748,45.369755139102026,49.86020356142708,52.503409066293365,48.725394411978556,46.048589664413875,44.059242048645146,42.2259563886914,39.71278762985077,42.225770924019386,39.328239649010314,43.10415432720878,46.47510621488592,44.096421696711374,44.37035842118379,41.299509606330595,44.743480962723524,45.63396640696774,40.6407599812938,42.32293108809426,46.26456591924738,46.17645794034716,50.001154485203266,46.508293981403,51.03845014366521,53.746756927405556,50.99067885532048,51.88723257668395,56.27891832475997,55.69364987390846,53.4171120658582,56.2534506984796,55.80087774583043,56.86055635171243,53.18718782782269,50.512373893013624,49.465921505449906,48.04383035771398,46.31554977675987,46.192126159771355,45.35006579619892,48.510475279600215,50.12240608937483,51.597962125638794,51.08292155425972,56.77479621788724,53.50986904045909,56.854591495064184,54.13873071506018,53.0817009594459,50.52877909401341,47.64143307939696,45.957020822538276,43.461684220121334,40.67316408399373,42.53949076264973,45.49145548423949,47.911149495161226,48.762898740127945,53.604705022496155,52.53774311754813,56.59179419144891,54.17567759555803,52.70012217279986,48.353207357912694,50.281539116922644,46.238389659852054,47.18214291770073,44.49641433167991,45.79787010543783,44.92843728609104,42.155700341985245,42.21201345904389,38.45058719207508,37.26644652744655,33.06535567337211,33.239322371009806,29.45027024538339,26.787144123340447,30.34942589230279,27.829113443748106,28.442359089279222,29.239537231469583,28.13880939461561,31.827087994795946,30.06325203915027,33.7272584134127,32.478401181374274,38.09735320189388,38.72084649419303,36.666969539706514,34.88563980721491,30.518326927943953,28.877983248496772,27.837892749718037,24.492318646217054,24.02927888715075,24.27566444056392,24.14052563145447,27.506399374573732,22.168611475582242,25.164353363838448,25.406054773771455,29.75219562250384,25.14460454112645,24.98791416314887,19.420434663491648,21.802095401706516,22.843404114930966,26.371158481582228,27.396777535514097,31.158475707088584,33.486974598672134,31.497259841253577,34.18992494605551,35.67727083054794,32.783189747279266,33.822058559773886,32.8048263631783,33.13281119209768,33.52877169021032,36.69043474843073,39.62142023498779,42.09023239124025,43.41410288419268,42.053183968235835,39.66965453708395,37.68353548944493,38.276345545753024,34.23549373339506,31.670357004999882,35.82971499610967,31.366291309758967,35.229452948030755,31.502442484787178,27.468637777797326,26.66166693186271,25.554170636224768,21.757245420183526,21.711183584967987,22.961250227115997,25.33147968192067,29.613402886761172,32.92506471400257,36.15543022394676,38.26598883116187,39.76876635735456,43.40595239361943,40.89335008568541,40.3033388440617,36.79849736894996,33.3815081329201,33.46836226813353,33.53577870251627,31.814277800139738,36.22385210273634,37.458382832430246,39.0435416016182,36.24954487769862,35.27112680043037,33.02988451112203,31.75930642995166,28.6722562927738,26.08837575895182,25.02084247242143,22.697881161651512,19.283203737033045,20.948161024284108,18.93761172647096,22.409525698179966,23.413950812147206,26.574655494051903,24.182774865580015,21.13649832678554,25.110700828196524,25.955930160537882,20.600410333569588,23.11008048937082,28.703227106212093,26.428440235707228,24.894375010674604,28.20997568695616,30.215261872928657,26.965228217895426,27.633143618257627,24.173280064235435,28.48403875309149,21.271397796789405,22.79764240772841,26.722879698386063,27.559115312923918,31.36304868011934,30.738879544343515,32.77010940009636,30.69078122911069,32.96086524083732,31.873306714899737,32.749487970104624,30.298416562684018,25.910647706786484,28.020877922179288,27.517592572860334,23.316214007773,22.48404923423624,23.97227286237902,20.79555433382038,17.59368310854779,18.51312791356343,19.24154529710419,24.79707291281409,27.10674063714899,28.990194104217203,32.723680357101216,36.64166067105539,35.85639341009985,31.050863594149444,33.90875910160734,36.95479456413087,33.09969775549754,31.27142086532192,35.61926874180763,36.043957098588514,32.208379286605414,34.616289345384764,37.557227055477256,35.61964088298673,33.517709672005054,35.73638108747628,32.35034766069104,33.36470032624437,31.70609931575602,32.156322479984574,31.233544781003896,26.95374109736535,27.123301142152744,26.624841814637108,24.590907451563634,21.5267024011144,23.80785087489341,22.281931375558074,18.155267022124633,17.671979429542738,19.867853684623427,17.954115623906027,14.856640564415056,13.958912712963501,13.04541647453386,13.049361481000387,17.5772139898318,17.52187670668579,18.733968916105688,21.665618693639072,19.1097931732362,16.064593698777784,12.706128314557358,12.382336496438406,14.686115019570853,17.825876421028656,19.36278179485777,20.989714180576666,23.803271539561248,27.65385238381672,29.37152677046843,32.68145600816317,28.085380238483694,28.904940530253256,33.10669237641848,31.04566517154065,28.224832350807365,32.13110360035216,36.01416666399106,36.12025668478896,38.817198404095066,40.9404688641371],[29.388790400382884,27.163054423343585,25.720216660806706,25.80552266073804,25.0841179727878,30.870709037364517,32.3057268990138,36.03227579621895,38.42874242941328,39.07307070580816,42.8671627836756,44.789061807645574,42.082483555448995,42.206209420842384,46.830908907442506,46.49407965817724,43.27801208040998,46.933825940493,47.290026608600805,47.95601214540258,50.25414508800688,51.38675324645793,52.166236522801675,49.69124973582011,47.184777859229385,45.47903412290848,43.18101927864906,41.84459771967173,44.61752555976144,45.239570971603186,51.284996600797385,49.486313945326685,53.98979343258208,56.63798804942596,52.755687739746264,50.20223564258723,47.93698272625651,46.16710447224929,43.53709906619294,45.53192043211305,42.960009720232705,47.038213904632556,50.161258989285244,47.56879122996287,47.781347196065774,44.51909983788408,47.72447296197784,48.754288865464325,43.74079664951556,44.880053074937415,48.84410860006243,48.73239513155032,52.65738093269164,49.51074568414736,53.937378399014655,56.70860111833681,54.24496504005678,55.29188218358209,59.559691599447355,59.00230038464961,57.07739714878262,60.125412248661966,59.827428997869575,60.98790376081805,57.1988846171474,54.580058567652685,53.90239271582565,52.531861319101246,51.057263160732035,50.99387530338211,50.274410718715785,53.51700030133173,54.977183985139526,56.34203049535263,55.66596391259372,61.22767514673633,57.74071995526829,60.980608559401624,58.07686786060094,56.811971425285726,54.05738452067566,50.9419002718231,49.11989600836306,46.350872463884905,43.86531208878779,46.014936170252085,49.20522991927783,51.58225958201087,52.78380185566249,57.618199753682205,56.824164976111895,61.006682911459016,58.64898180140972,57.10807614452515,52.82906988318514,54.86607179728269,50.88179788515364,51.47484622602444,48.67794726327884,49.64720225368324,48.74691014263264,45.54638454078777,45.663786786902186,41.52761536690023,39.87796146439148,35.81436030090095,35.345131175239004,31.3861170916799,29.03331915303662,32.91735302819693,30.91380595032619,31.984432570474308,33.260703667447764,32.393661838513125,36.37468882935433,34.74906492715054,38.3873638370618,37.20682633832426,42.83408322899286,43.46453774568356,41.581465016532846,39.78825282652893,35.5103028695525,33.75881987562299,32.55889950334887,28.94484162788455,27.930512756288177,27.953501610280355,27.23268800947122,30.147309181556043,24.553670101105112,26.756150464584795,27.219498427531704,31.78772863695569,27.75897847705357,28.31634148675186,22.78569649759195,25.8944458218909,27.379401823950108,30.619065397430568,31.87667660798398,35.343350455852004,37.80530036352145,35.78834342811733,38.22074225319026,39.827117875491176,37.032599423836864,37.96461981423185,36.682207282513424,37.1611377070068,37.12767959976202,40.49046383180346,42.98036423420703,45.593366108477234,47.19146212065162,45.71902307045265,43.55588849738303,41.22528254640065,42.085511645786944,37.63875391990481,35.252755457392624,39.58646754902082,35.19973627207253,38.731332351530696,34.68768526488685,30.870664661700257,29.40287377542755,28.066843857146615,24.277046277427946,25.018069934649905,26.037602478316977,28.86881554834271,32.78058264083689,36.04356203634488,39.376020541156755,41.354976397784824,43.30155212370587,46.49858546504565,43.96733280435135,43.04866589085025,39.497825310448924,36.10805946820681,35.58040555106441,35.370825681328114,34.10777472065818,38.763835523410876,40.49990817841886,41.56208046029024,39.03817715426732,37.51271341509616,34.88229654220674,33.89007736058853,30.299595394093135,27.720032753456195,26.272052701686587,23.43087187136697,20.78591763932783,21.950461230147024,20.06552290438898,24.089920762648216,24.080547961685674,27.78559338872876,26.073620316358745,22.357885309102738,25.790192387362044,27.494551482657062,22.419867923011427,23.951917438496466,29.558317449965397,28.189663825121606,26.280940495152965,29.10292869364991,31.7895979955435,28.81966015936071,28.7105336736181,25.19233744933028,28.64780400318573,20.974797432776565,22.640264170142018,26.119487110132106,26.07134543564129,29.552802243559164,28.545548769620744,30.98088117295345,29.098284823607102,31.404589578246174,30.983451956851262,31.21782152512787,28.334362729124354,24.866991899449456,26.998909906561718,25.542897399468014,21.506335510202703,21.51501935911224,22.78871164446489,18.613548941322005,16.040578224345367,18.319168008196005,19.35055224022917,25.283515458973365,26.989134061732198,28.923103088440737,32.93613110540221,36.675936721319744,36.571312335741794,31.790422322462515,34.22760745439397,37.73753201021128,34.39826861060177,32.15796075060667,36.467745752580456,37.301898668958,33.46432976103304,35.154977439124664,38.34935217379733,36.92370201883415,34.21708469479658,35.92154433702604,32.3672675877395,33.0767137074542,31.647707584842887,31.372690794896435,30.382759978735976,26.88457485579867,26.526718886918914,25.355094822924112,23.74543373503452,21.04844908667043,22.00481159278134,20.28112736749967,17.31194905702881,16.397493928948958,17.184828894160994,15.45031864916014,13.322206728389114,14.115123865325108,11.819265682975313,13.578320188145659,17.407565217123274,18.919750942660844,20.11322636379125,23.941930357047912,21.69101830840589,18.71054858649679,15.01253349067364,15.223073359837095,16.554150089284065,20.66790685990548,21.686565741169993,24.179885748075606,26.392040335026383,30.391247870805405,31.77630097787226,35.60603812223682,31.392164105418622,31.807326151527153,36.162756911765136,34.70393638829465,31.741616037674227,35.30308232904359,39.37023839294881,39.62519170585782,42.27242023913009,44.20831519113234],[27.85505559598212,25.33603678038522,23.16280292545944,23.636405742564612,21.951093952111087,27.94369423226164,29.078436701082964,32.565372139260184,35.25868782386154,35.830785521517626,39.642007256130576,41.34418865896023,38.49881019643193,38.99729507504796,43.42727466292052,42.8557960612592,39.72437820354439,43.37675454627956,43.93088328923705,44.30382097084594,46.75354421504222,47.74674906431861,48.7621348723828,46.45155565045249,43.71800909040477,42.09958308914326,39.55475675892072,38.22632532089043,40.85508133594509,41.33627760700509,47.5784483561345,45.53354277782522,50.05187706147897,52.65575542841812,48.70367359072763,46.25671198802756,43.79665435924373,42.14328524458226,39.51125871815544,41.34125764593643,39.06459843754102,43.23520817804046,46.26355214364602,43.68093405149791,44.10606606628597,40.90865976219403,44.11263437569744,44.898584228781104,39.81398322319602,41.000923168905345,44.80180879779467,44.55755411516449,48.446672007705004,45.28278842890566,49.60975550773485,52.527505107838884,50.18443341951768,51.13197688950717,55.38688599155327,55.00213745006392,53.15345347994016,56.2097584510025,55.90903271981467,57.27445391544372,53.465359339896594,50.75941742091949,50.39203133798613,48.94775791071075,47.7892198714626,47.72331799114823,47.222775721611896,50.62303987224071,51.78758491549448,53.06598218756565,52.123633606033074,57.55573691916597,53.90724022291672,57.017829950114354,54.008809935443445,52.68016916452822,49.773690087568625,46.61503179710342,44.66399277632526,41.87149128557137,39.51665859203685,41.711402353576396,45.05972172070248,47.334036820401444,48.77640629733703,53.55152623072158,52.966137875247256,57.25488177323773,54.95664076371156,53.37585803547513,49.192150604661784,51.39192558767488,47.514692716179425,47.757136355847614,44.95430271417262,45.85901083685484,44.704274373000125,41.3870572806578,41.36778718516466,37.160086076900484,35.29925365663181,31.32945354385174,30.78172032470401,26.78586718125136,24.60651992531471,28.56028458350909,26.824931688712898,27.844612635300937,29.4900849836718,28.640467023642753,32.85803593933541,31.3819228843468,34.999922749696125,34.07246950073283,39.729003476629096,40.17479676865937,38.539242186137095,36.70416772514412,32.6159286229205,30.693875216449907,29.409264639140705,25.422128552711936,24.27695557259284,23.918363661759248,22.933099512727303,25.60184750369727,19.97242837928439,22.086292043411,22.563006483224623,27.114518529710786,23.218184859047103,23.98773243639526,18.53923086892578,22.075398243164532,23.990470039094422,26.95333586103468,28.743631714616974,32.11848753977302,34.38488921841413,32.188707189099794,34.40128485489274,35.94530258287643,33.22107293172942,34.04759763182906,32.62776664081227,33.343425697144035,33.19666596749524,36.830838917866316,39.14404384185823,42.12765955565236,43.59803909134574,41.85985329294597,39.69116743288615,37.158316011280164,38.01067393931058,33.35510789234393,30.991822360362747,35.41476422128252,31.182865330510058,34.543205833331136,30.491134524358845,27.018815012596395,25.267629450257058,24.271323824048885,20.312839916139765,21.161681117376883,21.84943688190337,24.773051202339193,28.443034127100265,31.626950543315665,34.95797777039664,36.870707884054454,38.99047780934906,42.005923539780675,39.488006008178836,38.474817327656325,34.97961480140032,31.53347105083581,30.949859895908553,30.806143287263133,29.61579642450579,34.422982089214486,36.30128092934144,37.43266434081845,35.245934928829925,33.51491728891185,30.953400440205495,29.68908099521959,26.036673812120988,23.29214134567178,21.76401544189637,18.918169245872317,16.158499607558497,17.319287556828915,15.606868356298234,19.694949118604157,19.981411476670495,23.713894163709984,22.045248488420544,18.670243570633406,22.289668330625485,24.05584087742909,19.401775698744096,21.1453850336953,26.596902636900175,25.512845067370332,24.06855308410479,26.97415078401773,29.46921019914849,27.014667063062927,27.296516367200695,23.74338222256155,27.261695424912645,20.040890860097573,20.859765062344444,24.42966031934578,24.383097684887375,28.311158418769992,27.002225454246016,28.747669523501525,26.400426689101966,28.38673058166789,27.437035583272127,27.838399758289086,25.421285605034114,21.429344717903696,23.254223618170048,22.312126386040227,18.312271059619118,17.688284438557062,18.906723551010927,15.451251129629423,12.60515685203737,13.950614803830831,15.195634194360089,20.836056126673135,22.754009380884735,24.929021287550363,28.765835920955436,32.71670610445619,32.346380042776026,27.612113226639416,30.453674622168315,33.8209513198106,30.41648425137828,28.526242449119653,33.00544857293353,33.87207640685281,30.243042355608136,32.12996577583236,35.39241654507434,34.12393551752798,31.684068184061,33.4383177083692,29.874981113860834,30.28100120655855,28.403197267211766,28.32413895459905,27.88337998476546,24.072116811630945,23.378589842978705,22.876301071229125,21.424441714008314,18.01596626230455,19.486897234061352,18.655788737091182,15.129694034615591,13.513671682750251,15.4823429381785,14.588890784155021,12.02370915019664,12.509297032943964,11.957309380875309,13.596617453247482,17.20846606669951,18.065925471795506,18.228845386585935,21.80173395106172,20.280913944504725,16.966956740417785,13.592340420988426,12.75955989860867,13.281730486775935,17.070925209536604,17.50688386413643,20.162254523859794,22.839243038563158,26.71772177070347,28.36001048240295,32.151407578167934,28.104041727562244,28.981395502233248,33.23466105297869,31.600878872541525,29.208638712689673,32.95752423615782,36.80695582409338,36.76201343524319,39.217698741807595,41.14401610265996],[31.172810518201867,28.514164750074706,26.137422234271828,25.779895818639773,23.903319854112347,29.954954910119593,30.6019348709768,34.2957217334369,36.64856955642287,36.63048946272687,40.42480196239923,42.46847605077058,39.11434589448755,39.31700241321538,43.72441014666044,43.172719825343734,39.631531908227515,42.93937442847556,42.90007534071192,43.350147047516565,45.411230501522496,46.27397518285601,46.977528613642,44.38990223567886,41.968145338403055,40.57794451193157,38.37578035366102,37.45263435053146,40.490707093775406,41.47432643966838,47.61142985210865,46.0310448243787,50.617606889950515,52.87578549792492,48.84970877909935,46.05555271621126,43.95506530902639,41.63427529077171,38.78373250030062,40.45700601735102,37.72617036925641,41.97848467305491,44.930258672654375,42.19235339966623,42.18810992835013,38.83155693069476,41.9605967969688,43.17136170080991,38.2484520803012,39.203840093681535,43.2936513334462,43.349695836593376,47.315683526008335,44.317588233410746,48.84317241008117,51.3993997201094,48.89932928212454,50.202617402118776,54.4051755938143,53.614630359905355,51.835536042619786,55.08705390652858,55.03512177493961,55.984828428234124,52.0914207378042,49.69748010388622,49.22138661552978,48.17064879844547,46.84404053646829,47.186049401902004,46.46327908883078,49.78396824150219,51.14622524699428,52.118097541468764,51.55275831151743,56.910552003881236,53.22881618669748,56.60461240274694,53.56717159575732,52.063942901137466,49.51251866938225,46.19372576452406,44.7821580103177,41.73071077935987,39.11309811073613,41.54383520325684,44.53731652269844,47.30106083843836,48.335307694977,53.46106816392205,52.736140653554656,56.98535186845576,54.90541604927055,53.63326600412254,49.53214293717665,51.82867231815779,48.0045032134094,48.53779942338149,46.00154734579162,47.43133967341538,45.81052247631367,42.97535014595996,42.40442310742454,38.64640551436809,36.5202163742195,32.84377143348718,32.67483432817175,28.630972802538842,26.806643586094903,30.654776628447152,28.91647748492852,29.148113309546524,30.718530222805807,29.19435301447899,33.08053338745425,31.096304790572876,34.40373298577239,32.88925143723288,38.4255554616715,39.44128301489187,37.80802776998648,36.366993881373645,32.06681945622619,30.627139132005908,29.94958822442672,25.906358052703805,25.890545839514775,25.172712337138627,24.504632907520094,26.897012408118805,21.34090989537652,23.66522800817162,23.242980014963855,28.016622773047715,23.580507131189755,24.32040992428299,18.874810752058412,21.73149305504741,23.235666070597613,26.200654553592823,27.117880488814535,30.172555179812107,32.93192178343865,31.15786152232803,33.449407917659414,35.519828181753724,32.929184724703745,34.34330371053006,33.4001800195981,34.48137942116546,34.904350487305386,38.6408565669994,41.299080642433154,44.46704557805486,45.50803456080646,43.59942018966982,41.05568666550116,38.706371507234536,38.98994590059008,34.49058359292691,31.407716964894053,35.40170524023691,30.61252407475424,33.97512540822354,29.666644895794857,25.545223030046376,24.10100458466188,22.374558455496324,18.798630601082827,19.769085615490653,21.10925009075627,24.15353999511029,28.166753425028503,31.624487444424652,35.145755858593674,37.51766056965588,39.528958824434355,42.69667934983871,39.709899425550205,38.948077327412584,34.954455421552204,32.21157392651529,31.311988053485656,30.7806097373742,29.32386055293461,33.639163657769004,35.314717855962996,36.096224143710764,33.316078591998554,31.901091393524165,29.24801355235002,28.52455095909625,25.1199182478502,22.86425427021795,21.812142130884638,19.4666257428104,16.96822979324356,19.107009217432616,18.256182804735975,22.31626674389793,23.301853915912396,26.971335774946663,25.120706508371274,22.332627001911945,26.1794972965072,27.744285477979247,23.158318242791616,25.32351176526176,30.710213441803468,29.384863243293022,28.16179743163397,31.255901540585587,33.48300721920324,30.903555145881153,31.4951519121394,27.95834072592372,31.73963005618417,24.545076982002314,25.398573134984034,29.03161387983325,28.961303812204577,32.8474185423233,31.392615863207453,33.010237496217236,30.4865074786937,32.18517131389372,30.992986911133453,31.11613144152657,29.031008341139618,25.1236906798511,26.39654160119072,25.309883520841503,21.74002739334208,20.798446165286354,21.229986600781416,18.150091049542244,15.978550100417745,16.036639405146577,18.420513497438005,23.312028052346417,25.479409210411312,28.22261475280311,31.776844465418304,36.01271272015783,35.333250622954274,30.720418876257625,34.06789085945964,37.248546829294625,33.71252261407611,32.248058679337284,36.83940434134025,37.626478925854585,34.12216511132193,36.26827800280832,39.5032671954507,38.13765098886849,35.957797318193236,37.82294984022186,34.282563395497334,34.59378916732186,32.47823847480322,32.43629974339017,32.297104984322345,28.394266297886205,27.49651952820445,27.247760828068497,25.92351465112305,22.264253310021928,23.661885626782826,23.135941285343364,19.670708312386058,17.720905581745303,19.614570533845903,19.02146837522818,16.587535104944173,16.911961403256804,16.199522015882206,17.452633989974466,21.460027085440746,21.965501871048364,22.312093692275315,25.451699957744182,23.66744054529943,20.345437795239548,17.09840812868017,15.974325768509527,16.913761546111367,19.923566656515725,20.13546524075825,22.211869979779,25.90908984171298,29.59478923138534,31.633127361091677,35.02766652580043,30.764713180238395,32.15815723375526,36.26099779430761,34.00948020809219,31.92437722937758,36.00939138946221,39.67668732305581,39.42413838476946,41.87168174120442,43.93234936191675],[27.64479457660803,24.740687348871543,21.799950077894284,21.36642970103395,18.837113737186034,24.928233614971475,25.315620561286327,28.946450411173622,31.34425556679087,31.277138594769227,35.0758970789749,37.04310980074931,33.680347196309505,34.02201361266931,38.377111749084726,37.78039065462605,34.34643233362572,37.78158306323445,38.0438070106377,38.46781733748876,40.775142405221594,41.80354776634285,42.708382023514496,40.35630812609206,37.679647508338896,36.05299457748421,33.63397727051824,32.444652630870536,35.30618212023035,36.1305549428231,42.291162871992945,40.61639072455575,45.192321095595275,47.54092887752223,43.55444768577042,40.851264183799614,38.689722434092566,36.6180505769277,33.91256663514396,35.941963416917936,33.3064083890353,37.393134127382346,40.51364467150707,37.98791223612225,38.3394539296971,35.21673905910255,38.584689296632504,39.36637205482295,34.31543930714476,35.84160930005074,39.71670984247071,39.5647413062222,43.420354989164956,40.05974890040685,44.55599490230993,47.30153172057601,44.70583310378901,45.69692654999187,50.022081656185684,49.473682624984534,47.44570718893432,50.480687377820765,50.21917991121255,51.390519927165364,47.586983689137995,44.96580582936454,44.46799936778419,43.183616222459904,41.95511219339118,42.11350727863916,41.5402153145457,44.950508571340954,46.13785206417895,47.23892720416833,46.46720032033562,51.87262760479732,48.24280842170966,51.52293046679831,48.55367747154241,47.22041001540001,44.58271051090216,41.453601097995254,39.86747901529263,37.088263687423535,34.40059465025422,36.570466705514605,39.630253124212544,42.19601219026766,43.280009240663894,48.26776120113517,47.53307160994971,51.78586532946556,49.623670855600295,48.261346084322675,44.14159775201828,46.44755779715649,42.63629403729994,43.07657470258138,40.527771072416954,41.98813902386497,40.35656723066017,37.60230090417056,37.06049622983738,33.39324935393228,31.560453448417274,27.744257590539217,27.929874826529257,24.01683199587161,21.97141046229445,25.624422469168955,23.688794669771262,23.727121431960434,25.248514148239327,23.73474785352724,27.71116315017225,25.883745775567895,29.308629945404057,28.12600043932308,33.74931341369498,34.4335359706973,32.86015681958277,31.263642942592732,27.10522595274808,25.458575691876923,24.6580926041136,20.489786075645124,20.512210187265882,19.72204095541542,19.230390754027646,21.883162143460257,16.479062352776797,19.396987053017163,19.036848926179946,23.54629993236747,18.822870097851794,19.121724501054153,13.607648380634524,16.468652542196228,18.15539864415859,21.149831780284735,22.63212327923322,25.990891592293288,28.343624075948355,26.28499816683473,28.603912283192837,30.37861812060816,27.700948050407938,28.947528937852226,27.95176640547385,29.001348299061636,29.500892422185018,33.25897046004279,36.00556752485114,39.26464287682374,40.14879518557508,38.187875624785455,35.59151078424236,33.294500785658016,33.541984217581266,29.13505444198448,26.119988683749924,30.211150012110355,25.609887945358366,29.14538039223965,25.138856684952458,21.26792278252436,20.048893532291007,19.048104866063976,15.119563482457743,15.409006656542878,16.50244505036547,19.243148246830856,23.339819107366925,26.727567318813957,30.131544048138434,32.428572974418124,34.260184342342555,37.60873437917809,34.78639424186946,34.13339078478703,30.3625631980429,27.313527998682215,26.988450979343675,26.871910172479208,25.152634216167787,29.56365317026791,31.007320989023114,32.40547353112525,29.84981352516083,28.62236885639836,26.379481378662806,25.00626805804488,21.90621746387052,19.352615442704163,18.45016719562068,16.464406670291176,13.04474861078521,15.406447468236006,14.391978663007396,17.925602276594574,19.76800654287546,22.948120467573755,20.671336632854814,18.583296669797953,22.786632154547462,23.76699349143373,19.383679553831893,22.195315462324416,27.350564192169585,25.668138752125422,24.96820993876486,28.31300948651522,29.996149749595467,27.645023001473277,28.87203383286424,25.43843331400065,29.630186698340246,23.15978148664687,23.441832740571055,27.295643690921548,27.842826126340455,32.10376544697856,30.847101683126777,31.856941803071432,29.074737035143173,30.646811536987187,28.771196040054043,29.578370655340454,27.998168978606515,23.188593035336353,24.417456923045453,24.45393227605569,20.757544246151635,18.940999598058074,19.756545959506518,17.942795057662504,15.056379582350736,13.721179682831472,15.537024355894143,19.92521997695257,22.621006493810345,25.23220122927619,28.479012707964596,32.829769512869944,31.56538999509396,26.981676815741377,30.70236592580944,33.45901903909486,29.568808889878163,28.53331160799839,33.15660903937726,33.67861873029449,30.31731950467584,32.98946324276819,36.050361561375084,34.46427578610352,32.82106382377881,35.011528614562316,31.63236202495158,32.01524118214008,29.592107848630196,30.188814545244167,30.29689885386063,25.780914719005484,25.169711867867605,25.6963377219834,24.14869194158475,20.058445885473045,22.669276421513068,22.60373542154301,18.22273568682913,16.46627663632706,19.81318558934666,19.338081483768377,16.204353134359224,15.34799251644375,16.332239216236026,16.63295116847558,20.56996067315793,19.884314441989147,19.54479161409192,21.918536507836905,20.58016921277376,17.154881943108684,14.553107944646309,12.457426417529568,13.28328124486676,15.243756430554564,15.409887862963327,16.997699573064896,21.26349421888306,24.745625966788772,27.084242683732402,30.142420854164165,25.828724860898735,27.692782020328103,31.601832473514495,28.99528813652559,27.37621268216719,31.67229222103769,35.0752978468288,34.57698656399479,36.90320230262693,39.029955913116154],[27.129924283507513,24.232146123836404,21.55765494966218,19.917003703213233,18.104922853358065,23.90196125476747,24.19489843605259,28.250052003302528,29.994645309477065,29.64254562805879,33.39190314865012,35.820858800358955,32.408080134234744,32.109716771636855,36.699509836305936,36.45629581458513,32.802838248724626,36.1855553127349,36.15001981553165,37.09090009123809,39.2113266863221,40.60553108883616,41.184135840752866,38.708961592721444,36.297713335179324,34.35791893060728,32.31420627550938,31.010046683340715,34.095426813692036,35.23416597530721,40.980417659685656,39.87120460456921,44.416598563218756,46.736125956790055,42.90303249410211,39.96654413392805,38.27636475630447,35.97935466228189,33.38101948106879,36.02131852181443,32.80320539458325,36.49572507346036,39.9106485976953,37.58573801264935,37.791953938539095,34.82031520011029,38.39000473381792,39.25061118379517,34.335698584735155,36.32322073580063,40.28413912822781,40.300137124210934,44.057971736528756,40.42192012108256,45.072019225195085,47.592863440593305,44.627418661430674,45.582467515629105,50.00602144772259,49.26293568376944,46.86024645524378,49.698793692901646,49.321701198826524,50.195868215601394,46.51480074868792,43.9472441559244,42.84876849166681,41.622633693686694,39.89498163161852,40.057507125961585,39.17581543124573,42.38530478656306,43.95770522176145,45.181728673307965,44.809692355592766,50.41823234927837,47.11740729542903,50.61771804683883,47.90777030713913,46.802973248409735,44.52554616112686,41.64868831820413,40.36251188744863,37.86327700201944,34.78088221294844,36.64478925095088,39.287707371200206,42.01754567119613,42.52850607656516,47.594703350529116,46.43292287697453,50.47415538712221,48.24731137757769,47.02290228354921,42.7925366599047,44.89180562346672,40.9657072883611,42.028628856730755,39.64025642521834,41.52983191236851,40.04882219641456,37.86643237133114,37.29786749374274,34.12986336688739,32.88599300911916,28.965965122245798,29.843402349076,26.19590429698842,23.823125892043052,27.026720334084864,24.449005362145435,23.96749284924402,24.697682330005126,22.83013368957789,26.23683888776185,24.066692014142745,27.47444720001098,25.932276357366927,31.514378494596965,32.41835944346279,30.49189079282157,29.005371489650997,24.568542866343872,23.25852684535606,22.817569704320192,19.22464403983956,20.148569385677142,19.828617971681105,20.19551033013587,23.366978944348606,18.457709666663654,22.06546046355111,21.452229716772976,25.622239713445985,20.34747529981659,19.718141992545053,14.335003336109331,15.757884509882201,16.457940857828234,19.986561121744952,20.629652603686782,24.33817007691625,26.761184678335535,24.941046639688008,27.70674720914391,29.46852424215546,26.67127996076239,28.189738374721927,27.649289480038423,28.420033059016664,29.50249292804299,32.853911224015825,36.161345469708074,39.03492918878677,39.684322856675585,37.998040908995605,35.160989368441896,33.38237991189202,33.296083178557126,29.508232753901737,26.247349734807596,29.98177035260541,25.157541518626548,29.130168083872345,25.486683117787347,21.101870518930124,20.90969435834154,19.83724986233918,16.270704846168808,15.54881721846263,17.22633651074032,19.29029096798032,23.922399394325616,27.383980701881033,30.655163993899887,33.15340842300689,34.39168949007624,38.28370000191257,35.445585915934316,35.21516148180682,31.447719944349874,28.54272720669459,28.827081143286826,28.89208738789159,26.694619475018005,30.606291544928343,31.396599364377693,33.20595081076408,30.094013563657246,29.631003372298206,27.756981709945162,26.40929679550908,23.964183501998793,21.67062975822095,21.25637923323528,19.851439677360762,16.08394559718413,18.74887383335311,17.570450048584615,20.42499002866094,22.86081467646526,25.49711443605559,22.659302690353943,20.993232170164685,25.40784568606895,25.619307492203042,20.84363948020435,24.258005442078836,29.413271172242226,26.81777829521299,26.166486239518065,29.813680439224573,31.01930123883189,28.143634046665557,29.776132256986674,26.468166887896132,31.236476313819487,24.915329961231006,25.60290919933672,29.68695350345614,30.855872170608954,35.052458307945514,34.256546022765356,35.42098676625526,32.79762946182392,34.540165143106876,32.532279019183626,33.685414871068126,32.11621919148148,27.042097796193755,28.446689499683504,28.797492008402656,24.98215381615335,23.062149416822948,24.05776654324799,22.396038648530414,19.30376624856735,17.85173081009089,19.21325069754271,23.38611415238973,26.33995798554309,28.710430068721042,31.798974007345084,36.10425404324522,34.466758602551316,29.908354728901795,33.665181654649835,36.096535511536935,31.85938842551146,30.973298490119213,35.46516473992525,35.61522502091834,32.16674054213964,35.28284574136728,38.06522004332064,35.96372591635993,34.678399352682895,37.233223345829586,34.02038581616459,34.82559632178423,32.53004517815271,33.545714461575436,33.354805022006595,28.494096270728537,28.49496589720733,29.065934703859558,27.130376217844,23.27967898095383,26.43338001988445,25.92994772135749,21.161314012329342,20.138350427230034,23.589465370763417,22.484455007496496,19.028904263157198,17.327688520047108,18.180745631352163,17.437676717924393,21.852486132476074,20.402923472182522,20.682384873856112,22.372656622982248,20.37415795337253,17.22127941329776,14.897713345908723,13.003957040745243,15.112257090561927,16.268683882268267,17.29335371855976,17.795463864402457,22.28628211480168,25.60887151340202,28.073184852777892,30.602257810299093,25.859593068165566,27.834411608160092,31.595092103020985,28.489171919770435,26.711794703329794,31.196181075504036,34.50462941141476,34.036824138965684,36.50590949270392,38.807228796228415],[26.493261407524596,23.3916681149806,20.086674845000374,18.079879682766027,15.335794987393864,20.935076917247386,20.56212400345802,24.53106437070729,26.147182811108717,25.387699930278803,29.104732879273687,31.576436666088476,27.873469469993825,27.632872160259566,32.098346619212904,31.774541314543168,28.041804826240384,31.374730883523036,31.397139305292253,32.30079567444806,34.51396720258461,35.99373306652387,36.674276085582854,34.35431304083498,31.794424662524847,29.724395729507805,27.584981462624487,26.19230049456836,29.26767435778041,30.474201280172394,36.20313697661956,35.19196457086673,39.74425505302859,41.97030843998248,38.14238335144199,35.155954941130176,33.56410036679669,31.22492141783876,28.69692259716017,31.617164570991186,28.341400516517968,31.862970245537035,35.38922672237607,33.24130061916317,33.65606455843192,30.91061944052607,34.64827089498297,35.203114466245424,30.28384810159471,32.74886734806685,36.52960344377683,36.47327234707148,40.097067577332254,36.20256738473415,40.84868481952725,43.39376741768758,40.30215187968487,41.08356365376734,45.57658051770476,44.92839941136389,42.337891161313074,45.03774425317298,44.56564765544066,45.51259117929222,41.88414718500435,39.22032206649039,38.10377523923229,36.81119257279809,35.1690407759317,35.33889365302024,34.54833501112599,37.84791694484983,39.27132996784089,40.46013331077301,40.0025472159506,45.59724814619207,42.30212365779697,45.799703044126666,43.131628487045994,42.10801570005845,39.89725049173641,37.15583590064969,35.94525973396598,33.63840750056665,30.400842860742937,32.0781643615821,34.610620020994425,37.34168430664926,37.73760040251501,42.80431065639287,41.605870947150386,45.64910394129301,43.45700655683349,42.28533188359715,38.106160888185315,40.291570735487646,36.439490287967836,37.47766511469985,35.22250461037074,37.38368305846291,35.623022616720384,33.77456287981493,32.94266013730522,30.14267589577791,29.0827556207152,25.28336503247266,26.70629515092877,23.334174586046007,21.04711608599261,23.815878602555895,21.143074253316122,19.96651894705586,20.57766442636269,18.319470927692407,21.59751328956784,19.331890978966754,22.687787508294946,21.246051927475524,26.86970294249109,27.66703282219567,25.856414633744503,24.405022689780658,20.053783885063385,18.765626748879125,18.56709627560367,14.803694152018883,16.579806815741385,15.938986785382914,16.758931707790133,19.9052959152416,15.6319638315577,19.711509376948708,18.760603744612087,22.459048119826143,16.871513772914884,15.613574502946989,10.610091810326828,11.112441817244948,11.642996186655491,15.218818945568524,16.084581199576657,19.978488873129365,22.11449103802568,20.17580398473805,22.994467421838788,24.670882551794328,21.86948158255789,23.509283319486784,23.192930788743418,24.150356967519212,25.617782867408863,29.02241276379307,32.51695757476569,35.59638960462046,35.8457898287212,33.991087024455325,30.93465570984114,29.3066284194599,28.87177372869354,25.320927161789424,21.80100491109172,25.336159001013968,20.50440625717454,24.62519411351273,21.3001772968919,17.006334506041153,17.372414344551917,16.89599764673863,13.487698303414284,11.78746306165611,13.461699333117567,14.944007656786606,19.736191460174723,23.15370625999695,26.309234055455665,28.913792582861525,29.891003009063216,33.985392158759,31.130768078625515,31.13969556278306,27.45112173846166,24.648497020279954,25.405366019478436,25.730150320398064,23.20012737840175,26.836861270855348,27.246570110584127,29.53655667650647,26.48509106879553,26.386472698725193,24.986925781035957,23.236474819851033,21.387973955020392,19.177188223440574,19.19916793721511,18.538287206145686,14.459434419515865,17.430312319781105,16.634067985435653,18.60813467740409,21.986920735827617,23.978381311510752,20.839296088726552,20.276907821500306,24.789406207057002,24.41339552471748,20.251952190586923,24.157031904265175,28.798964113587882,25.9932511108719,25.992255450704082,29.749528314626478,30.337420308835497,27.836327422623786,30.093413311201775,27.009344626332393,31.954559829782507,26.49819379467024,26.600236637165235,30.68151655432913,32.18887125985347,36.56813815804524,35.81040142740456,36.370752738074096,33.505115579265585,34.948568682882325,32.340474852605595,33.880565275073685,32.90264944074303,27.373009527640512,28.435200092746253,29.58619846766279,26.020409361749895,23.44313414529965,24.37368484427723,23.863087769958344,20.73529232193772,17.99341315110224,19.175996434654913,22.218243318363843,25.543853511578963,27.928037107597184,30.486651253582725,34.8773305378287,32.635406940454004,28.33777306944294,32.53021518342289,34.42765042735384,29.95587259224782,29.71820819251447,34.15562017720382,34.05365583406705,30.93062612599253,34.511834673495535,37.08154620450092,34.856465280875746,34.194819979866494,36.97070675315384,33.979325790212975,34.71114760074115,32.087724454493575,33.59046400202399,33.7959683993211,28.59894627477273,28.670423505636467,29.959435659674252,28.038535483019214,23.90413846230779,27.73040879317902,27.785665977730968,22.673276500090218,21.619310563365655,25.83687039354334,25.090186265870447,21.45902652450307,19.19316544559699,21.165554436002765,19.935992062088175,24.012950226871645,21.679515460221637,21.27246715134063,21.990386745250287,20.578642288751823,17.5676874826102,16.186834593051735,13.489191035527796,15.239141254420987,14.741722450686888,15.461011728918114,14.926962629882544,20.338586314672064,23.1341040270086,26.02462209048659,27.937917319583672,23.22215408614585,25.93905139551955,29.289857423196317,25.572272624023135,24.607676118615636,29.348353049898126,32.185111315341864,31.325249572002324,33.58491433936647,35.97262025197673],[25.10802401028838,22.002058446317225,18.470796131843525,17.919532962160332,14.593719861652936,20.645621551064956,20.698795733595702,24.244796938394195,26.673905724431076,26.546203599941546,30.340755477125235,32.22577890505337,28.859138231149256,29.351061801775288,33.64306869613075,33.00528413226633,29.699820023220166,33.275327280883324,33.87419074646687,34.28025632603395,36.844921091197975,38.05569257319301,39.16409221529241,37.07994834252488,34.15785616995312,32.275833882974986,29.638804687400565,28.14332803766097,30.78655336027538,31.42809464858193,37.59601775219851,35.8277307602471,40.387845402789075,42.835049536911825,38.9026554785321,36.30217116865829,34.08628598981547,32.304736850337676,29.78632916614023,32.22118525754828,29.702179808136297,33.55768407254178,36.848306920922035,34.585350306203324,35.31461038111536,32.48734469753251,36.06686052971221,36.38654259150296,31.259140237288538,33.39067244335954,36.98877503276357,36.63723643393256,40.332475083747156,36.602131112915316,41.03314964155487,43.95562661044939,41.2635828191052,41.91445366667567,46.35324535945936,46.06039527115455,43.77283418757766,46.55844817704029,46.07081712050982,47.47032229171277,43.7786246375232,40.92501413402332,40.389852485943415,38.85380754889931,37.728273289865065,37.67838213063082,37.2636098528416,40.75471764317198,41.759901791474384,43.003213147803926,42.017275302699346,47.471146168157794,43.91206643777982,47.086592589519526,44.20401858338847,43.06269354073187,40.34745011529584,37.44804243816948,35.68351356338972,33.23326492097759,30.474793643815822,32.3243744869883,35.434888731285646,37.77296469067225,38.89572199172053,43.72082934363644,42.9647532144666,47.21212397678638,44.9591815845824,43.50161340863192,39.36168262726161,41.66904358503795,37.87310850828268,38.222271873915545,35.66098326696431,37.163215870132575,35.529529598712024,32.883816627693776,32.38257755885954,28.841965729868377,27.38797462415794,23.423544640009915,24.0612526564442,20.382173505587506,18.07990261119797,21.411441195125843,19.215490541663176,18.987036860106727,20.411162876727342,18.910764403818195,22.98015298448548,21.359427669228847,24.91209622963502,24.133528864012046,29.808188354518354,30.105845683167352,28.60363395663262,26.8312025452396,22.87147849551118,20.98144702608113,20.02792374052379,15.728077334884004,15.82142987825034,14.95287468988558,14.752257927337507,17.754242876800646,12.725077997257268,16.356584036563927,16.093770038856988,20.104853382784345,15.125990331784436,14.759891497544848,9.253786543140475,12.006102252843572,13.923563682300664,16.92143360681679,19.09766025816822,22.75313599647953,24.577629715685635,22.205922366634972,24.543478412537358,25.941862358093314,23.167500591340428,24.19865746980794,23.15099964853095,24.146156349910957,24.752145827764938,28.51447728868913,31.373552184333363,34.711995724720815,35.415719880246364,33.40868989977722,30.749251599388213,28.531670032606954,28.73137719312227,24.46616004326503,21.5487558562206,25.731334661190925,21.40008733703401,25.121590775617207,21.54643762860051,18.07685996918899,17.21997036651201,17.155554995536104,13.103943175646767,12.407570747019186,13.093780701751871,15.280532897040803,19.413678511496247,22.665756572619248,25.88844073161887,28.083524010146853,29.678206590295044,33.239687065645384,30.623401414129084,30.109758418519142,26.639367741443586,23.256464149058733,23.649780558791214,24.023032524106824,22.027295804005284,26.446390668975532,27.58613850338977,29.662184093679592,27.388521070257546,26.407658846527223,24.674908681514978,22.637394345721727,20.00986365360291,17.24890556794109,16.58285875873397,15.173500084183908,10.945611471733958,13.353324685821827,12.201544190594111,14.763570972450795,17.59676910599768,20.049457315182053,17.300422352673912,16.18464017019566,20.61530388150699,20.86513711668959,16.872298615317767,20.31731966892661,25.04773968667888,22.987358872946274,22.887235628123634,26.409627790248386,27.466292167328245,25.401300752041507,27.269051279584588,24.050994945458985,28.535457935074028,23.006035840432336,22.732288120941558,26.662189105533727,27.797139600944067,32.2551053051774,31.237476883109956,31.675623558057428,28.73921574011129,30.155773322723377,27.666062489051747,29.12747165132602,28.064169760550985,22.580414630908006,23.7198082408783,24.828237342190832,21.199091797192306,18.66647728442389,19.81036838778484,19.263265589427107,16.002558330233242,13.480422586609969,14.442157201367044,17.941943758235553,21.097524007071005,23.451213644982428,26.27009617802002,30.642605147511897,28.771112475879782,24.31561742177321,28.35250216652456,30.59505409462666,26.36825767597229,25.831994297075056,30.399504612369643,30.616855139610582,27.459542159778444,30.65863499884815,33.47982210648896,31.666741350848678,30.62588089647066,33.11914036881912,29.975713091181923,30.43693639177676,27.763894117629288,29.00405107477658,29.34024466208738,24.3356660485448,24.06358150967672,25.332535382337532,23.616982778313634,19.31658605913622,22.97417109766496,23.30895476053522,18.339916596842087,16.938642796124935,21.301309941205233,20.93012328019483,17.440238995451345,15.57364924344725,17.967983299656147,17.3956562701242,21.000443159525204,19.1922045180549,18.168328511858917,19.54848088875322,18.75957725232638,15.426346133207309,13.809159850873566,10.810440788403442,11.429410995263305,11.74566881119009,11.874691736573666,12.625524356502023,17.588332856832686,20.737944672174777,23.410053875443445,26.026877018415174,21.673232380414756,24.081023847155464,27.715345689537454,24.702572676097983,23.64371020111044,28.138627342574736,31.211116042194433,30.439747156497667,32.62839456516407,34.828045826073556],[22.812564286665882,19.84196878077866,16.893850730792423,16.134207834240684,13.965391888708126,19.965392985526336,20.660936004199574,24.491520066909803,26.72638467787801,27.010462262897768,30.819260447742252,32.809924179084376,29.896935661619324,30.074092348864784,34.640168377574284,34.29791732876938,31.141723856910993,34.941434217203174,35.68707242529606,36.438553134950254,39.06786207395858,40.57413764607071,41.59342071774156,39.52180655004339,36.67277076494245,34.494842838454105,31.963014488302093,30.16241593387835,32.70120055756943,33.207966912732566,39.14608883196937,37.44118718635203,41.93248138239233,44.63299559181574,40.86075672407735,38.34086072078238,36.19191733180291,34.70182726338743,32.37564402724142,35.196076449643115,32.580282526958804,36.17668258277384,39.65672828978141,37.5382741076932,38.30845115255057,35.56696906701482,39.220599089568125,39.51395605396092,34.41074619893413,36.72272074731743,40.3021263917855,39.92603967209361,43.56981651153371,39.70485843657323,44.11779546289938,47.073919671173705,44.29262491085537,44.795634792136696,49.28814690665402,49.051138785766874,46.56711115336885,49.16279245479784,48.49032213475385,49.89868964717801,46.32280734720375,43.367403543004,42.483267651950094,40.77030821413753,39.34915971042114,39.02866068362116,38.4889565015517,41.85078134504346,43.07824715530573,44.62852763255241,43.727651473968,49.38267466764731,46.0782269405491,49.24273967472121,46.54579663422436,45.635828018526524,42.928199947769194,40.2467799660631,38.3331014968462,36.15515646289877,33.36621304439356,34.93283984643171,38.011162076354,40.15308429109063,41.174780599485466,45.82869937355437,44.86838922021681,48.98695219907794,46.52704477889694,44.94143835517848,40.63333753921171,42.68128777440287,38.717865904318934,39.353374818978196,36.65862617790286,37.99838762300455,36.937050513675665,34.23510348577422,34.22052818736212,30.57991011350027,29.668427684335498,25.383412225257523,26.022549426347492,22.464630018174173,19.622299240587516,22.87332772829548,20.183764142094812,20.466145197002486,21.33578221648226,20.24591576315288,24.171980848402892,22.693338824116594,26.49014914785068,25.799713281906396,31.50483686917206,31.628277011719224,29.801298144373064,27.81029219904308,23.734278301550557,21.721764555150145,20.46100313559807,16.738096591368524,16.273930038562565,16.293853249432168,16.373380168055196,20.00241293755225,15.06202038967261,18.760970476176656,19.058769188753168,22.880689919014795,18.081441978182152,17.341162432264113,11.897890025391725,14.293021333970966,15.74123264752168,19.1421045017449,21.16079237081606,25.174381460838422,26.863426845241197,24.45618212253135,27.042038934839002,28.117932936572874,25.167014089679135,25.936511058232856,24.801734313222248,25.2089052413183,25.68473825088927,29.031734363524205,32.0166625610988,34.83012686631233,35.85084676219711,34.257129525943206,31.772383822157128,29.757852824540986,30.26769030309016,26.267297296607335,23.79809618821343,28.076623698001953,23.971682792738598,27.9218194633836,24.63743877903747,21.18612671830777,20.59615811149537,20.550846897557495,16.545527914457637,15.632047662148974,16.34526349513598,18.186689536792947,22.36336074157779,25.485204609684292,28.520691370681572,30.50403406974946,31.846014902462766,35.6066499101497,33.29488227807697,32.81201022135716,29.634071741345963,25.891700741517525,26.676425127670367,27.25880805389105,25.28421054356619,29.74078066968455,30.732602099012386,33.02828815721154,30.69155921527431,29.857810874693854,28.16737910207786,26.10186378359274,23.47420901354136,20.630220276273988,19.78880312798223,18.082766610517517,13.793632979955664,15.591815581385461,13.554813130192171,16.04859907738313,18.37516897586543,20.76025566041339,17.812081441576808,16.05198660206946,20.492473513365034,20.521547174160684,15.753299700977871,19.26255055717082,24.32956056452119,21.745084552828946,21.22069175458607,24.861587209671768,26.011302436744145,23.39827554189743,25.122254596880474,21.85183870646951,26.60341563347811,20.76722900172358,21.05002595869467,25.14911755645617,26.639313420938933,30.97108557071045,30.36721669419354,31.278958058804395,28.700498911101537,30.555195262334312,28.426333226054098,30.091341552379067,28.54922004684709,23.085229371530296,24.840687093622876,25.819567049436763,21.774150464477458,19.693408873204024,21.404645786474347,20.14019932966652,16.44391804494271,15.225597723808338,15.311089180294514,19.704014522968226,22.670872943609,24.483686025200345,27.62353029989595,31.72844601044068,30.086283086123178,25.447578557604942,28.955104668557375,31.336329867548006,27.04489690611714,26.010871919259404,30.43456442147453,30.534040220747762,27.04580561635805,30.214934011949634,32.945775157654936,30.836931127920483,29.60363836063311,32.21784440859797,29.075584179327702,29.967863926770242,27.70668457045318,29.00569617348741,28.732289269460743,23.665676533708055,23.98231814674422,24.783994999832274,22.67722167861065,18.852447435995018,22.661562831820763,22.233056628637645,17.06776788597474,16.480767734140407,20.60547410267204,19.461750959506016,15.729185897212226,13.384691906092609,15.45579947576366,14.36728668138708,18.290132178766907,16.37109278829973,16.00903384234992,17.574433031016877,16.116156313979744,12.81869584219892,10.8696823561597,8.381176175877911,10.195032896986485,11.262867798635794,12.609863387726172,13.392374336473459,17.3037598091922,20.780227148506643,23.078574470020644,25.866350963666846,21.249391351512354,23.02907320071571,26.901025205604416,24.19719026906992,22.350617814321158,26.70298172520771,30.098772829848787,29.686138239798797,32.13106899748757,34.34712835816769],[22.583992894810052,19.871911354895463,17.53498625178073,17.489430152831865,16.070393617693195,21.97308625972257,23.238318193476353,26.95458416350249,29.384377180063318,30.103280316931553,33.902651418722485,35.719048127152405,33.152973025428665,33.419621913307026,38.019957333718885,37.6963679632457,34.72584909465839,38.62916079808226,39.50770787490793,40.22086547461137,42.90224005341836,44.359890861253646,45.4222106120661,43.33909977196512,40.47967472872882,38.348892526336584,35.766859821599134,33.9372021474005,36.35942815946105,36.673814867096006,42.6563754239504,40.729336825864095,45.178574994400435,48.02718469198284,44.27286084137358,41.9023684877927,39.5719666503887,38.301248207239354,35.98699238592456,38.62331219123559,36.20337305453177,39.90304973210409,43.30607308746747,41.10693237936111,41.867352574289946,39.020053626152084,42.570593589350004,42.93747689475898,37.79582004142598,39.837825593336326,43.43840699863101,43.01095436004016,46.717673009680645,42.999931163471764,47.34310867372353,50.38889543631891,47.76036146735775,48.27971912650341,52.72839444046072,52.556851551160044,50.2040341557957,52.84460933950835,52.17445990857147,53.67260137373323,50.07943368573433,47.10049245495022,46.30397570931295,44.52787558500578,43.14099930324241,42.71148424706911,42.19879490947847,45.53761148687477,46.76993901037522,48.41073291088515,47.43079529954856,53.09004558411372,49.768901813705625,52.840445451159134,50.11016180803172,49.1799235802812,46.31431271296623,43.58187976576897,41.464835204071406,39.227453118034845,36.644364509462065,38.27866224030075,41.534512353626894,43.52759150338323,44.76847805572355,49.31019012971966,48.445299124681405,52.58287257405085,50.05069184230795,48.33955332886547,44.00120297616847,45.97665317127602,41.97846722330687,42.496252744543916,39.64461792348076,40.617374248435354,39.86585238897263,36.79002484844588,37.10515051241482,33.10026775898555,32.11765255745428,27.738886478927736,27.85279006139881,24.183076654178837,21.262252241809957,24.78187023295923,22.262863704409618,23.24482973849777,24.242059942488968,23.59572905611962,27.656076674530414,26.380128379597004,30.250096730936498,29.655309668601724,35.35945472811655,35.394412778956486,33.533367417167206,31.430957340834752,27.400168286759516,25.266015106940774,23.724908476183323,20.150309272966,18.86537495723544,19.14731223409192,18.80246439703985,22.376651991845023,17.15493142671288,20.29758610553858,21.08639721283551,25.071352141390808,20.758108624858014,20.470292736101033,15.018731480334726,17.981626458598,19.594261658463196,22.918245153439937,25.0161145810771,28.968869992955167,30.70727604256885,28.266762123585245,30.767809418989984,31.771835642526124,28.81934323101747,29.358427199915084,27.95416386991315,28.166085732428442,28.191124090276393,31.45514961034714,34.13854393018757,36.75282658748648,38.183605380675985,36.745103070369204,34.55087188717858,32.37190048769224,33.27984096382375,29.0918661512378,27.016467531907608,31.49625024543197,27.56819983103042,31.375227833169795,27.96394472316891,24.658734578892886,23.642208538748672,23.42981641779262,19.31632427704242,18.961492325443714,19.518429556747282,21.65352961469011,25.578431058433218,28.61893750768976,31.654201530918563,33.420015538482986,34.983137487486665,38.509511874994566,36.352444982170134,35.62621865040938,32.55943178433922,28.60458166391829,29.127592403984753,29.631402424789876,27.98899108502801,32.722314943176315,34.030407316391965,36.083069513466704,33.90718126653386,32.73151832603832,30.766639701160162,28.827145245849156,25.771144231438367,22.794924291633915,21.542639099445807,19.229700106375088,15.284131826687316,16.44226082213755,13.905554977982481,16.963515056335893,18.225617544904,21.069775647605713,18.51476667254433,15.71353104907642,19.875141648621646,20.45786051839784,15.30240990349677,18.147472859285294,23.576046669113797,21.32520121332789,20.206005072143,23.635079967574164,25.382188419569523,22.592666853364236,23.663607969871407,20.223724486668722,24.675138175676523,18.16080908308553,18.884956655771198,22.93839498972577,24.16718345055281,28.343741105261632,27.768305159574314,29.1721210220518,26.87143274516003,29.040953266449016,27.47325112979681,28.932291355193556,26.847518837672673,21.77109294944633,23.96277786064102,24.39093414511042,20.07301439814173,18.65076528936672,20.66689728874563,18.457142876445378,14.61479171267136,14.921475158163618,14.662663615810045,20.04745816004923,22.57132124902924,24.132887554795666,27.715229296550884,31.603969335805292,30.539818507634422,25.739549990550948,28.692593028240633,31.514452985686162,27.512663369684233,25.85565887876214,30.22894817987893,30.55893083967891,26.828035349304088,29.500102176262114,32.38847409345671,30.45039402189164,28.64579445570179,31.016448185662725,27.712692660343762,28.677348148000956,26.77304346063037,27.66836638381544,26.986045531832374,22.264789083283354,22.602434739554717,22.744188489144232,20.589544097824433,17.14271523443222,20.428169230689857,19.439881514676042,14.53731405750241,14.196699314737424,17.72235910398096,16.16254966601812,12.492699496113675,10.577992161592789,11.880475604978294,11.31566796982922,15.34374988836262,14.339114957192782,14.43565318114053,17.007977440143968,15.27246777059937,11.911209374640773,9.056804724112947,7.585391106366566,9.363148570555069,12.180352540796896,13.727687776627661,15.460142174344144,18.165097756138803,22.005370013980524,23.798321786943255,27.148880127760904,22.706382058215077,23.726751690071765,27.892656754348156,25.90723317031429,23.43572321475938,27.397957176470623,31.15613737930964,31.088215101843748,33.64828132036013,35.723795291665134],[20.225067372492514,17.635857460834828,15.876068615333104,15.12449082878595,14.897658693245614,20.40759880966049,22.04560091498281,26.03170150788194,28.04603778443407,28.960913003160538,32.70155387514512,34.71317719793313,32.494044865816974,32.352375263456786,37.166079273582525,37.16814131780702,34.29608492398801,38.34106345499987,39.31107891997535,40.41673621499557,43.13287407707313,44.946452460464215,45.89373189917677,43.862420139514136,41.08639808252543,38.60834887103856,36.17691243826599,34.04322176505214,36.385421051669944,36.661156353088444,42.29874060299553,40.59823996505187,44.955144710667824,47.982183115529956,44.426353493066124,42.07232410998751,39.94941035556289,38.8782700399415,36.78775681951459,39.958291186132286,37.32634975033702,40.65377915930815,44.30256599056673,42.34063578941049,43.17537166066105,40.518760690058436,44.22391455873164,44.47782728530733,39.39159569490673,41.842300427997394,45.382796365551215,44.95447638463143,48.547193909918256,44.56355716424805,48.91888957071362,51.9471258668984,49.11770306599754,49.43993255040766,53.975505273726895,53.84127647281306,51.17296707263048,53.54673582057181,52.655497525111294,54.11760519375067,50.68544126932607,47.6054303003414,46.36886241481664,44.431430971261,42.71291945297411,42.03525056700142,41.380994052817634,44.5587589882187,46.01845650646715,47.95085942212248,47.10827880889477,52.961977887089255,49.96188046846313,53.059866519206665,50.57867807700283,49.93506672291213,47.18992992560736,44.755555089257776,42.61334415529365,40.73735176783246,37.98864781167243,39.252761696923244,42.34099707792682,44.193799096031626,45.17379655210397,49.561368635177274,48.40718353072902,52.36229035605991,49.64848871622996,47.875469808382576,43.39877921782944,45.10219300982638,40.97217603884088,41.88593327660397,39.01193002492462,40.02359716986293,39.741465441365115,36.88941237363998,37.533377743999615,33.714614730917795,33.40166780701783,28.79866120650517,29.292602160610457,25.907644380372695,22.542228176708203,25.676817933520578,22.572762769130442,23.603889589918687,23.891498413713958,23.429070220890118,27.14641513359713,25.944094024162233,29.94852111537842,29.42653610401873,35.077815257201046,34.951004960136494,32.788308284865906,30.539286410582722,26.466802313318915,24.318772348937575,22.648706297212108,19.75593260078195,18.43668130660812,19.470780988194164,19.70216215976227,23.83449477558559,19.051115579500966,22.58799186494602,23.547869223335045,27.162589654326105,22.722903930970066,21.764916549364777,16.525362771019193,18.720359956389522,19.774978889702844,23.421169643282834,25.3161738167259,29.61006379214925,31.121567791654293,28.6786365844586,31.45207316086478,32.13760332866983,29.040766346809125,29.43188690880865,28.131910085514683,27.823434995576534,27.9949167584751,30.760567164880054,33.745527193022355,35.8146222620107,37.33793283688605,36.30513269733347,34.15358336228891,32.35220866384803,33.330460139486036,29.62840719534966,27.79964739866287,32.189315657356914,28.437261373096575,32.53642747927265,29.543411304327,26.205295934592975,25.74471659397551,25.724741727890564,21.728895267772604,20.762896632523983,21.419852676131292,23.010911007799677,27.10200376824514,30.035992714538665,32.84475629373004,34.51365929494688,35.63150981467121,39.51049809700233,37.603658024826096,37.086210160996586,34.28415333627318,30.12215233449611,31.252949708347426,32.043626186357024,30.182136074107692,34.74477455056171,35.6676497104422,38.14426663894936,35.82256880163782,35.03981235553018,33.33925714094955,31.244289905643942,28.5210968239341,25.563594535632173,24.467536986207996,22.37951227273607,18.17446628344951,19.21711381903265,16.291869588972176,18.672173080448232,20.091204558349666,22.383833926794708,19.426106174916253,16.759181712349356,20.89674700522813,20.764056629539542,15.1500951218053,18.367769210624072,23.764368498496797,20.637279859371983,19.37431664574264,23.00970712039862,24.407766902831604,21.032080306108202,22.323841774826068,19.02878317916823,23.978427740292975,17.7025908519615,18.92966698856306,23.127394565984687,25.048949123048498,29.066317650670268,29.06591639402122,30.690129278508852,28.709914286184468,31.153256289847484,29.63057386767433,31.488388718896577,29.282101620559377,24.063855106995565,26.603700600032088,27.322704084536234,22.850076442029042,21.506380662927672,23.8802431143035,21.698886868541088,17.631915160028296,18.202288377465674,17.230874560992312,22.584862904254223,25.168023971445947,26.237186174816937,29.76963340334447,33.425047948197275,32.212412208962206,27.420413855181444,30.0791871020475,32.679777164015285,28.46724017377824,26.69918841361102,30.818166477823898,30.8189594771258,26.927273091840036,29.862789442673144,32.45432129861105,30.03340363565113,28.42975319489075,31.09829398445839,27.990177850967786,29.464405610043165,27.879507179157493,29.144487398327026,27.980796422365028,23.0512415120063,24.15178798672327,24.181916957586147,21.596959983709137,18.6863934539403,22.44201159236629,20.869884340236123,15.73518433044574,16.40823366464146,19.877949720621828,17.594378505944768,13.72969279864279,10.850865732559864,12.069209420222029,10.116378165376377,14.468372749400082,12.624204311810889,13.536474080348121,15.56008184648178,13.02951529627874,10.011910142547585,7.365695199576918,6.684609835854619,9.987749541206277,12.30167913913341,14.92805428746269,15.923236906438994,18.029526858997432,21.830226093336606,23.436329644902305,26.51682787511822,21.773489808543392,22.446075982817998,26.599435643580787,24.591863879509482,21.592120564232506,25.495697968967615,29.355926758383774,29.520402572930905,32.26939111481,34.42637127474616],[22.40353082321195,19.931948966118917,18.56917308659786,16.39462930115891,16.92471376648628,22.03363195727601,23.413623862903943,27.770752844941722,29.08611921298601,29.538261892373125,33.19806575234721,35.71891359123767,33.27998195903705,32.478969327059026,37.46082604054956,37.760700941387626,34.55368309466762,38.382712173553244,38.837962933025864,40.37129854233616,42.7469989124974,44.75060285986861,45.30033992693305,43.03533641230797,40.62791598929543,38.05033251754642,36.07571030793234,34.070399806685145,36.7621526168466,37.49856118416786,42.756131428904844,41.68851064547423,46.03630565812988,48.8809262186939,45.410038923994925,42.73786095036083,41.11460377940074,39.570649695717755,37.443610620303154,40.89372184416721,37.67864108202488,40.78739687961475,44.57836451456428,42.65644475108808,43.16207241919022,40.50928803459927,44.27640843491466,44.82148566672355,39.912365478330585,42.47201592687338,46.21892758934382,46.05251416807663,49.636137872034524,45.60572521811353,50.14534827442781,52.84968932704313,49.727389492188195,50.222754586285916,54.779181373617526,54.308114400566815,51.4511159906844,53.79804146978334,52.958288704333874,53.998479313834366,50.6130185186696,47.73926678654039,46.01747776092199,44.319915822392474,42.13108425267206,41.64065524290073,40.62396438909235,43.571591393168504,45.4576871701966,47.35061687575562,47.008405475542126,52.970512151352686,50.20519010759106,53.58123254622866,51.27012208394597,50.69182165226824,48.35758459109748,45.99512550307811,44.302765835877224,42.4472303602492,39.35067343549418,40.56111041485691,43.20695019838701,45.404965992396626,45.80629543287236,50.40498498870394,48.885123896834564,52.65329735926011,49.99286981532084,48.465956473125594,43.952600868372365,45.518736314441284,41.32870134750672,42.863200072020454,40.23335819957159,41.76695839706666,41.40924863738437,39.15823798368685,39.535597580214215,36.23729155139779,36.09998350969259,31.613435560051766,32.607092623280934,29.299563722569594,26.012992571758282,28.885889748189545,25.4890428412988,25.82891459494833,25.568240129237058,24.55147621462721,27.64879339505672,25.959300467073994,29.777104031276487,28.69837182568048,34.21749567744794,34.537674577049266,32.082492789865654,30.111013788529423,25.727675017478376,24.10556431552375,23.014047423466536,20.629856207120785,20.510918723914973,21.645625793915922,22.487818011003355,26.664182305855824,22.101418807098703,25.9657397752694,26.343067652473707,29.99883817269423,25.031705187895135,23.665600199591516,18.49879787519816,19.57203949734611,19.749070584126382,23.717835226343453,24.55995128797347,28.90930942336943,30.71883065798498,28.67458649602638,31.774397166973326,32.71638702107044,29.62122287998006,30.481903691628446,29.72313840508145,29.393612792696807,30.21210945343449,32.70068252336763,36.190371238054624,38.01706591309132,39.21126839417546,38.33190915687575,35.873979161509624,34.51905038143733,35.01875692064648,31.797678249551062,29.475513817435957,33.413792615713334,29.250267414966054,33.59562059866975,30.66244416892494,26.69471747167824,26.90678557727745,26.435196120860596,22.786500693828696,21.455324841112905,22.751254254326767,24.095598273193755,28.643321470044217,31.763452810311396,34.60214332205932,36.6138019340234,37.338206063175804,41.59376558489426,39.4432525158333,39.275942620092785,36.207120381717665,32.49532648781209,33.712090743538184,34.35777901181855,32.15072076222141,36.228577493322476,36.71634643268252,39.20159512062466,36.26002951319867,36.03395032630933,34.437129529406434,32.664371387666655,30.31767980093357,27.699864702896168,27.00860263914477,25.293090510338555,21.105647602696422,22.79655682089844,20.3040917787488,22.584711062989655,24.451356380568047,26.597682082145134,23.40614326306209,21.141063655590997,25.355936081379298,24.89232637952189,19.23333089892678,22.702024173180245,28.016128272440973,24.393656062475284,23.16267338562662,26.908575378480233,27.981756796571073,24.188210383146483,25.69143161447068,22.56483034584273,27.768613648377503,21.514899816467707,23.144597004122808,27.360629101627293,29.410450364533233,33.26138695650872,33.40871670797443,35.224197175203706,33.28547516043905,35.7223561493227,34.16480503347131,35.91858659155261,33.73235355285672,28.582813905278787,30.96636140326608,31.51787825975109,27.12631061065822,25.749265922530608,27.789056459345062,25.5058674937441,21.67582503124225,21.876606191383953,21.51644544067609,26.60120817423757,29.35190204513006,30.654150309051055,34.062366770991986,37.82217514264596,36.3942765623434,31.660224594349145,34.5108128187847,36.940174502897655,32.56763504840942,31.00801940562276,35.072198598863025,34.87985858544407,31.005592468603023,34.16115262185084,36.58961172287622,33.881043301321796,32.506262949043894,35.335470613176895,32.32762548718211,33.96517783855616,32.41535824008322,33.753056168727845,32.520826039976825,27.561170809873005,28.760912198088175,28.738714848189982,26.10450328140618,23.279458792172438,26.90874596142057,25.15957849516608,20.16144233592663,20.7979161476985,23.949478988022268,21.482391968797625,17.74385964895919,14.990458150061853,15.348064791663338,13.11382001734881,17.78118365227036,15.78703924942616,17.408560179345372,18.888811177149133,15.698331042440325,13.18294370465398,10.879795736060306,10.542872142034215,14.3704476263131,15.992826032521037,18.72213068062742,18.960408963260114,21.60174468383392,25.152832051544756,26.933243318319242,29.49332211323695,24.46193530216831,25.320415542009354,29.2518341855634,26.717412544434804,23.659836701129496,27.71573693674405,31.42869932404123,31.598913406468824,34.45604745771259,36.755063040949224],[19.65055346612244,16.978200377753456,15.29361843687403,11.900384674764847,12.71475693252034,17.243433359493572,18.436276005208533,22.96936473814103,23.823395057553636,24.210817566374686,27.797436654062203,30.476104248990826,28.213463046304657,27.14203628454148,32.211402697242235,32.73070553829186,29.67618930396107,33.63927258441271,34.375144005667146,36.17573193513758,38.72127549158181,41.09064120693957,41.70077772550126,39.71087009716158,37.210695413008,34.228603293758844,32.255556569769524,29.839674908672183,32.290113688615975,32.91086141176116,37.826790957298826,36.94294406861797,41.17713057969261,44.14202865078152,40.88031773883011,38.28522564440628,36.855648728333364,35.63060773669423,33.84123950085716,37.90881317114664,34.66180259473565,37.25287562072698,41.28259191736542,39.76278768671071,40.582676060636174,38.334906626283214,42.30289375144367,42.417448727390436,37.59717474181994,40.82134145880027,44.266459794081314,43.97183918579516,47.30510074593992,42.88620008852759,47.333078681725034,50.0957283885605,46.78749983727628,46.90310451008483,51.55237294681429,51.28208669702106,48.04077737544867,49.99570688291539,48.853790115795306,50.01073438339426,46.853085728137025,43.77831418010757,41.72981013139536,39.76312776656838,37.426168679846285,36.62568749470344,35.62636649991785,38.5211907906249,40.40917285598107,42.58024333189834,42.19086258901424,48.27781838916038,45.803654744711054,49.11213786536605,47.05940196314668,46.82102000431336,44.58429075928219,42.63106855933089,40.8838740471893,39.54247235616459,36.30961616832084,37.000187055380806,39.462625779316454,41.405857610296145,41.58691506253384,45.93949836901778,44.195922988825984,47.80245130957188,44.99362975951691,43.40184822071292,38.81772710911078,40.205331495458594,35.96088788911308,37.7542477158938,35.178528954141406,36.89647607430532,36.76667044404047,34.92101855008353,35.44751355632488,32.561126445969585,33.1700545101351,28.605732267938453,30.25559017351465,27.432266794662812,23.867432761026944,26.06284235218823,22.143025914193114,22.10943960311733,21.08296053326173,20.129240146238093,22.797288970727763,21.294650164161503,25.221072460203818,24.505124637488702,29.917296565973786,29.829027031259166,27.212845011098427,25.029255842982913,20.78341829523796,19.025305319727604,17.81985627038672,16.155612606255687,16.401325206686348,18.09872709885042,19.713765167950378,24.290675370739752,20.62674791596257,24.986639697004648,25.411438485839902,28.343325720706112,23.320688632590755,21.050885655618593,16.610886932811898,16.575234377067357,16.178353370817344,20.27487440093778,21.323771198330707,26.019269206221416,27.195157726078044,25.002657742813717,28.26095920075194,28.67250845471236,25.48035612896833,26.10795188250498,25.51984060240356,24.76955853735115,25.93762727142298,27.99940807313305,31.867157297868854,33.41593038203377,34.3637965390875,33.69544400748782,31.149860716668,30.232713642614286,30.604877952165882,28.017446252406756,25.93224033258944,29.653833992645197,25.91985780996005,30.486904325855484,28.292634552124806,24.705975986809218,25.601884089400492,25.845280434869558,22.415241991815943,20.160605355440712,21.23606320075671,21.65913363436446,26.142437504498705,28.9712920408028,31.420800160078254,33.292232096866705,33.447213058810966,38.07146793341519,36.23736661681679,36.37394823642068,33.73630055136329,29.85374967929925,31.93600911184783,33.048479127139764,30.550745284046208,34.32685633109167,34.28138453314166,37.46847249530427,34.67190210580442,34.91331281278871,33.88088370238809,31.63790871171349,29.91939308263835,27.317377619895154,26.937395236243635,25.79737897880445,21.233635603560142,22.88487032369212,20.34612327863438,21.499299281290615,24.175266907985687,25.406448546948226,21.711934914716004,20.51426673097804,24.787787488475058,23.314099710954284,18.033116387277804,22.21495685392189,26.943902409153402,22.563616926944057,21.99305725753702,25.963205068773053,26.11395446738919,22.4010289878147,24.800976772233874,22.06647880244958,27.69863519436795,22.687840542580055,23.80544698370588,28.055630379167187,30.798814144447352,34.77758845955714,35.23631133515216,36.51740953080046,34.48465288395667,36.7840722113746,34.67973673428373,37.04302746412446,35.33355716714371,29.633525106409447,31.929471294156144,33.384410844280694,29.081428397711893,27.136701105621594,29.373977501839104,28.07690183197204,24.028252687886045,23.304562429961333,22.34856926569807,26.55748775603785,29.626336232859416,30.603206366889243,33.53207760886045,37.19564395970486,35.15315116071191,30.6580006179371,33.67394501046366,35.46922985199776,30.758992607073147,29.709905370757376,33.54389027387997,32.888789034367036,29.23562588317607,33.02110131807034,35.04217652019316,31.899805633776253,31.316043307297736,34.554644565031694,31.902328806482384,33.749369739460924,32.056840254748515,34.09013742883039,32.99860780509931,27.579937989794477,29.260947133719956,29.912354588779493,27.089594370362686,24.211975793202015,28.76003071722191,27.362817839915316,21.892604211650124,22.865377245414646,26.842208282235887,24.53561550966418,20.544241429777063,16.879866179910277,18.63752632894331,15.528612553108673,19.623620553107585,16.1658309003487,17.213292975958435,17.125127256827955,14.244812829915377,12.231754610346353,11.537570288863561,10.407923835640334,14.427996096745657,14.120226373244094,17.325406062862026,16.243182617364937,19.03738195227251,22.04588908771117,24.057229774976147,25.820007158284657,20.57647903097708,21.894054172306532,25.40157347240641,22.23930440134182,19.526987018361545,23.864898788758712,27.176250726391384,27.134143919268883,29.957392306103774,32.4102209600352],[19.558846531853696,17.36327853880155,16.809113474421025,12.603090868583493,15.191328854857657,18.573557233464825,20.126719180800613,24.726971690556276,24.89941446787914,25.432307801466706,28.763773041034796,31.691329995361816,29.887436694033774,28.218971850860363,33.41261610460211,34.35806919685383,31.437308208960133,35.37243676675088,36.04078276583552,38.30333485820991,40.72822269596997,43.42647808177006,43.80474622246498,41.81917384012682,39.56157548653552,36.31522598048812,34.66693984493638,32.083971189212846,34.46551410324992,35.128347263879164,39.47848661098196,38.978975123184945,43.02211723763171,46.08577022841384,43.098628876802245,40.51066495255873,39.40547954402908,38.29654516264655,36.72941065653146,41.176901709334146,37.70480034080978,39.893670796857535,44.081855433051096,42.77201162862615,43.5327993036647,41.44390070692268,45.46443981822632,45.600219848323185,40.93932249954395,44.37686322677322,47.80517379380626,47.568586738067005,50.79490691866743,46.252890461303004,50.68943355654519,53.33736813496747,49.85773055692258,49.86823069591703,54.527616208221,54.20688712793141,50.710657642766556,52.413926668533044,51.10437443685411,52.10044784076771,49.14182819191456,46.084171017179024,43.52948401065066,41.50696030296992,38.7400415363698,37.73738651084451,36.49130787748771,39.05836517184306,41.3060956041994,43.75023760902961,43.65555304191911,49.87325099787765,47.814161530034625,51.16447795344931,49.41271161009263,49.447944504944886,47.42908076586917,45.75861461459538,44.09221648809123,43.04253608513973,39.69570149088796,40.08416087167327,42.27698916552732,44.12988587951703,43.959841193350684,48.13700749941312,46.06005128576225,49.3786388165868,46.432082808424965,44.85294708980348,40.197604524579575,41.21181730265919,36.889799769843584,39.23029249211281,36.73289442550461,38.51737163202792,38.897327238232116,37.378335555104385,38.18759963866111,35.57319331591026,36.70585916314799,32.088525303450254,33.9401637672918,31.338465026549724,27.583343707742486,29.47510785450475,25.264844721336654,25.279055845201814,23.601363199116527,22.822634214723486,24.840109626479457,23.38932529918693,27.191837040728306,26.418353629394055,31.508341991580206,31.39049827928547,28.44326049197287,26.264954831174293,22.10239608193794,20.6185599020646,19.508259521759005,18.907364950392115,19.24526931920325,21.4828883493254,23.415587990850565,28.15850446256108,24.795463530201086,29.189621886895797,29.702413047253483,32.45161903185807,27.45894340526781,24.909534124559265,20.773841129492858,20.220191011329643,19.250608957442044,23.368876577063308,23.8791431271294,28.642732960215497,29.691424187159196,27.705155396659666,31.14184240275072,31.33110285218772,28.137839470878113,28.692659491012535,28.30932132686306,27.073474820939555,28.396411899402295,29.801391022993773,33.89714218165497,34.74861760648788,35.762643768131746,35.59979786034897,33.153245993835824,32.702962290268,33.08999785354598,31.08238518203915,29.229725587957905,32.68463599682843,29.138382017668512,33.81951056684592,31.961792547572088,28.314371470299093,29.588417767569393,29.769235216305137,26.521542623116833,24.082920379704642,25.293404608515857,25.414750995050266,29.909290232614776,32.622544786592194,34.86067418351031,36.653020522575794,36.4024358000284,41.257769168110926,39.625716118693575,39.946715760206935,37.49996448788129,33.60860357836693,35.99728235870526,37.214177263676355,34.61855644400438,38.179804041463385,37.83492560869311,41.20709799525278,38.21949341240064,38.783688840831935,37.882127902994064,35.69349481633992,34.1600260076364,31.630177013047877,31.305907389676232,30.18321448227216,25.62157238721327,27.178342940658148,24.44560374854956,25.40991112460982,27.901288977052495,28.894768416690457,25.12737219875456,23.84535918220086,27.899844172202826,26.084253535903432,20.657338557828467,24.72854556338043,29.325522744553027,24.409028373965757,23.60406535732027,27.514588813659056,27.418800625855525,23.1839109648463,25.56144293806902,23.134215491052665,28.90045579192961,24.155535994511446,25.804349778583713,29.98736879162321,33.10717867640591,36.79056813280525,37.7038481612809,39.31963185819409,37.60819880225761,40.15187606755984,38.248748134046316,40.75533145317415,38.82685346210459,33.215491200361186,35.783042526441115,37.193541742877585,32.75921925443101,31.046654038831246,33.47162763312477,31.89133648847926,27.75559724358287,27.498277784922042,26.276492041071016,30.66672026787935,33.655042097567716,34.329025932814275,37.29954438280191,40.740841271994256,38.736244215025614,34.2726893545038,36.93634601178721,38.63563139109723,33.90484150726743,32.672919664342025,36.20780249231879,35.32625925884558,31.581238902235903,35.388734313051344,37.12823904711884,33.628685257969096,33.13685977281462,36.511141498240576,34.05656854356677,36.30655129310918,34.98346108868116,37.13308468674814,35.59538597775467,30.246544897955708,32.41326669887629,32.77836649081341,29.717286536409826,27.36113879517075,31.911884652815996,29.99262292756496,24.64572079802523,26.178582038683846,29.821208224492477,27.000897367669495,23.084836409098145,19.24048170120838,20.442999572495467,16.78718661234625,20.76398821440089,17.129353858179524,19.026629521204338,18.561821143353352,14.995029643525246,13.842791676788076,13.455478234567389,13.334075114159123,17.747791524776076,17.52710344836266,21.154506983439592,19.842824375220466,21.842698315561922,24.671009100132743,26.336135810610116,27.77945457676351,22.51235668069253,23.26602238802001,26.56723969339732,23.564701130120486,20.27396217998744,24.231158318227816,27.536579823776254,27.844298507701463,30.84250862945537,33.305174422194845],[17.595923344858686,15.136076617365731,13.969099603524874,8.931903575921105,11.42535327368641,14.114540603161974,15.430621070491384,20.053031596135245,20.011040414914792,20.57974703885051,23.895531254428434,26.79259454458981,25.149567963145355,23.510936981855128,28.706388346134947,29.695647844343846,27.01659028436,31.120070481773414,32.21614228385663,34.483486294447935,37.16351876379053,40.03461338779808,40.62755277695182,38.96661976532946,36.494444981119116,33.01541032272124,31.192135842039654,28.2614412678451,30.295828160260285,30.705483266811093,34.92286733598153,34.3469784288825,38.30900726874684,41.497272005967716,38.633534660794886,36.21666632995727,35.098284577852944,34.392255742913,33.116814870890046,37.89431814575342,34.64290939907739,36.492090115845926,40.76925170465612,39.76034344415565,40.879307252309154,39.11651974826471,43.224743463756006,42.92190150557225,38.3103232845469,42.17512032118954,45.269972932678996,44.85629081909027,47.869078305371545,43.08920556852771,47.36102553016295,50.14179805157104,46.648139160967105,46.31609324322603,51.00887884181439,50.958813777659806,47.27321186465031,48.69148297256912,47.14981371137152,48.39965367362018,45.597304437070036,42.321972636555856,39.74413243035435,37.431547125229706,34.778950116798825,33.473266907350194,32.413254550563536,35.06856676313426,37.09887367159363,39.744054101587935,39.38829690765268,45.635161398704625,43.68495221512381,46.87438580817862,45.24641694277913,45.50102450327657,43.426741410243345,42.048884855200285,40.2248986767301,39.56660129146008,36.25244773373287,36.25519245697376,38.43080354295709,39.97088994823708,39.83122160400244,43.74574564888446,41.646503658009806,44.924637515955936,41.86478779906507,40.16120648409417,35.475812519583975,36.438609437752355,32.101793153332665,34.40027572553967,31.881346569509287,33.697033744171655,34.197698432721495,32.86356482701062,33.80456751072405,31.43059533196065,33.070257489753146,28.46868790335476,30.719979008112325,28.540205779812563,24.694643588600208,26.027533218116766,21.57725155326102,21.367939149638843,19.189093246283292,18.626148901937256,20.405534751333935,19.327339411151595,23.240486051478705,23.02184199632082,28.026479218477828,27.380362209674047,24.459502464449386,21.991251786795935,18.131471066601584,16.302441608966593,14.86940933629557,14.874083606947968,15.268518665326905,17.88570414308457,20.279067935922864,25.13978234778062,22.585180273010394,27.13205572386894,27.748670092360914,29.85853163832749,25.08064894399308,22.0063696939418,18.663760492591244,17.5134089820214,16.375004428872703,20.29403393693456,21.364656501046884,26.250854974067472,26.647447161308406,24.420104340398556,27.79809932073901,27.46384284086938,24.240646230884273,24.438780111374722,24.05524708552645,22.502763865945177,23.975910474545767,25.11729981471522,29.391050823929262,30.17194272481999,30.99444890905751,30.89273217146083,28.42786390673302,28.21392563831371,28.58303878629925,26.99036595785669,25.4800488527239,28.81753264143206,25.815043208655656,30.501953523531583,29.24242134280718,26.18427787955646,27.736979574027995,28.5795457032821,25.48801780128025,22.56650186772555,23.382097040606293,22.847236867287226,27.017155417714676,29.385881600879284,31.26731389324737,32.838456723459885,32.250025561089366,37.23872658321268,35.92326181942453,36.38401822587859,34.370547572255326,30.31538697125856,33.30264862258989,34.884153382048176,32.2012293325262,35.59595423242436,34.97962975273878,38.83961904823067,36.21003237050154,36.93220037116533,36.43505635899588,33.836023229605324,32.70365046649315,30.164355730756597,29.994076337966533,29.2630272669865,24.588267814487683,25.974998082998223,23.3097268085418,23.400544246843452,26.417535169001663,26.70987175980463,22.71324504162676,22.352849467689335,26.328099646426967,23.860275801529284,19.07861631098502,23.53284676854848,27.516900911805077,22.323855022848516,22.210237818603503,26.173760463863445,25.37815332087254,21.58429125169864,24.665008427551047,22.550842234743907,28.39207486667674,24.699926600633432,25.66184975217486,29.761626339670556,33.202100977038405,37.024032109225715,37.98788072845917,39.029932217655755,37.165195757759435,39.48461369114958,37.129114944471205,40.03762146465025,38.5660666084905,32.61699704620996,35.00071340963164,37.092493012712104,32.84022609918339,30.68983100170089,33.19630241186436,32.436032695453996,28.231958564290856,27.260435439707848,25.65006804214365,29.22366871589025,32.37097378669497,32.82320218800411,35.35057130098456,38.69157867955835,36.241180534113916,32.05252593399117,34.860317999878966,36.04725449813883,31.150747706412112,30.405555652170396,33.755942728876654,32.57963856276976,29.135769272984557,33.368605780921,34.83121485230326,31.16263572944055,31.32177165000536,34.9133156129825,32.73146877810606,34.95775512655083,33.42653024521925,36.04607854448566,34.804079371924836,29.199783145883945,31.52852972501746,32.50254246093378,29.45880031201043,26.95920230722621,32.07830319213275,30.65210121452979,25.065607355107698,26.59772784317423,30.860373786914938,28.41606800362878,24.396027929579233,20.178134565907445,22.49872907881,18.719818700737594,22.111503720016252,17.689723830165185,18.64544875419536,17.02683573028717,14.32334743576637,13.449993217367,14.229252464182197,13.293452256363334,17.20476578209314,15.523888984872944,19.16624161428411,16.94673154697914,18.997321415255374,21.2529916205844,23.12872856481005,23.91569931786664,18.634191654261368,19.928393009753442,22.798831422296583,19.24961608278156,16.53743333673015,20.792082447022526,23.654631396233565,23.64300023601364,26.537691985077164,29.093400047609954],[23.30506365849533,20.61249617007583,18.5318186046633,13.958585550468971,14.130127966625837,17.615350295819525,17.577173274063913,22.19380746468842,22.062581627207617,21.323958816613924,24.69340619102038,27.99539552140004,25.145038856216033,23.320480472771468,28.37575592741335,29.1466582044789,25.644958883753244,29.199205199213228,29.34428602582288,31.60177550964465,33.784506212918586,36.41954838231703,36.65762204526042,34.59194249080943,32.42900252060812,29.250265157972066,27.799178383612507,25.49331496573263,28.280805595779132,29.516995283095582,33.871792832424845,33.85250346127288,38.022702128259354,40.605091141319726,37.47434156688529,34.49887942618755,33.780009942639076,31.988126283845304,30.290201579100945,34.799399267635806,30.96166206218814,33.03473488849149,37.231752684657195,35.97096967543334,36.59518516269919,34.63269525331039,38.70972646142797,38.86082440204279,34.38526637803258,38.03610696310118,41.44639692164963,41.371202694170634,44.50109042664248,39.91586935477885,44.46059059428146,46.84138361178789,43.165453551736974,43.31729918328615,47.97888918076943,47.421681673986214,43.860816672539144,45.63710006640847,44.49669326799824,45.22547368665944,42.20685757522953,39.328857012670696,36.74255926480696,35.03032625417845,32.248235052947194,31.71347882364758,30.374243906480157,33.086706448675685,35.30620028786183,37.347727780160604,37.46710443093064,43.5900735881998,41.38781072079727,44.97696529969021,43.16046844476542,43.052397614545015,41.38075603653024,39.65770041893053,38.5266957905064,37.395620955482414,33.75491907038117,34.19942198760205,35.98745870566413,38.29032918857031,37.701347659418275,42.247375637417555,40.0943885636942,43.46461389808922,40.81224766783739,39.59865265474869,35.096710016821966,36.43911241190894,32.2627141957966,34.71362323253105,32.624866630139465,35.21831793547282,34.626797248183415,33.818085544227266,33.72290556659932,31.833163876681166,32.6990742312412,28.566026025335702,31.068929593724604,28.622468082245923,25.436288680171533,26.967770238851486,22.95814792154978,21.569916341933133,19.867121051724194,17.926450912292985,19.44184682864108,17.274988807536076,20.752400461502845,19.457475149770563,24.592156166159313,24.94178592724309,22.088269013044446,20.3416698073078,15.827225497946772,14.923490240002018,14.897582881201654,14.062428662003246,16.589508266255056,17.95551370175408,20.42400109407929,24.661764194752983,21.929173314070315,26.591481051683886,26.205980461904492,28.680970741393494,23.261504231575625,20.26802980334522,16.828615084785387,14.74904495180392,12.88321711661548,17.04029800391069,16.83531339589846,21.56861460933005,22.673284671766872,20.965419640423665,24.53530995571695,25.093439259017032,22.036177855903652,23.30358090446291,23.616276727826435,23.06768860797509,25.319752099276837,27.116101323761825,31.5822813683694,33.17088376414872,33.270838744471945,32.52762461582957,29.453349219241566,29.182373031414592,28.63430545203011,26.900077241001156,24.145534975246928,26.96316603576279,22.994985063256372,27.73532183335645,26.072669341652773,22.182266697372444,24.22033608509301,24.463390657454944,21.817259311201067,18.736007227215943,20.27225883394619,19.815908762256804,24.50391095821539,27.28934681160055,29.535177376459018,31.799440973734526,31.290494073240872,36.35624082762123,34.27629431201788,34.990291486430195,32.22571721388532,29.087675759260847,31.520641581980065,32.62625575891743,29.653605294786175,32.520367216307235,31.682813817743884,35.167828747880435,31.88863158423923,33.010865532056684,32.507986465068555,30.386538606905784,29.580110939236754,27.510571557973627,27.821433721387407,27.551026377840802,23.09396713308181,25.401490876949993,23.656882571228834,24.225737357698755,27.82193413559387,28.56729269289976,24.667161252027952,24.624392807225878,28.958074163194276,27.012030016511957,22.47300487192987,27.005090401341725,31.207726425419576,26.638767615202223,26.71594520420019,30.725923701117384,30.19617258659884,26.794180185545116,29.782656609153243,27.342029283180928,33.054751931053964,28.64816781584408,29.402943613365622,33.60749325589052,36.43589759261635,40.50445013380379,40.87041294977829,41.73716745441396,39.421767141205315,41.3691651383879,38.75410288873334,41.17824220963272,39.999811550158235,34.07981773728935,35.8526276372355,37.657316438541265,33.67447841498613,31.224118488627866,32.990003750063906,32.42163643574363,28.651507516191174,26.71275391551037,26.355275200340788,29.463008641334252,32.85823889465741,34.17486816123482,36.542532400325406,40.39051747942941,37.71370903303524,33.57460266290418,37.156974568511984,38.38528724122689,33.47401990967202,33.21797031239734,36.98097330789955,36.04361168977003,32.81173432438946,37.05560752636161,38.828607693656735,35.5267030369582,35.642371673305014,39.07204119043539,36.63920974362639,38.35775046424287,36.31963173913606,38.66563499138128,38.02195055706496,32.411314690873766,33.93613905519802,35.13633707066042,32.45355978227629,29.22940424206287,33.98824629376889,33.09819528677334,27.535517203764876,28.081465576226588,32.391895059782016,30.48390752079908,26.48474214949573,22.8633049540711,24.8683418062749,21.837034759699634,25.83497048006857,22.045707225592796,22.68255964055862,21.69750689623927,19.309346603315742,17.64485867495617,17.56698310016218,15.905090195554557,19.358939349276124,17.653475697774464,20.273632920311396,17.98727030640413,21.927588639293194,24.11031317244532,26.64952050136819,27.324745440640445,22.117708402351038,24.413092690699138,27.157658582535976,22.904174576216068,21.325878827250882,25.928723978983868,28.422859746261413,27.87611342524135,30.439141000662538,33.05592842268571],[25.624440587730007,23.271808317818724,21.80295550894581,16.56954518236804,17.69753503442576,19.979446147903545,19.776911621556437,24.306989154514202,23.221069570669027,22.100876266416623,25.02528960490395,28.775155254903428,26.10244168734284,23.41060388458036,28.441091874215495,29.703634504499767,26.170163602541688,29.384878835969197,29.11508755033268,31.99363372407966,33.81568104436732,36.82312187179188,36.639815487398096,34.54132458343617,32.836886019979346,29.40257766129387,28.572282981244815,26.26517529265534,29.104107546822444,30.661518122651664,34.16474223702557,34.91049185115488,38.82765509634636,41.26565330929368,38.46737013217576,35.350493190940384,35.261175869113394,33.31239937190607,31.865244411376565,36.78005774875883,32.54625034866797,34.00053478115421,38.33236908972225,37.35669533732096,37.79088067044892,36.10319855393277,40.18293211422289,40.416281920225224,36.30850558369689,40.22312414801332,43.5834502400672,43.67223442723306,46.59937814650661,41.93286143215921,46.46033233379002,48.5238154581125,44.594752362685476,44.70958500292476,49.30686505477745,48.55213716383322,44.68726030350778,46.1731271805786,44.92400117444221,45.26321832011121,42.506059993719404,39.802452530709346,36.52748697744614,34.94861895205021,31.563128153121795,31.020182579042128,29.25913201521756,31.506578557942653,34.25394369061598,36.43446055683243,37.11918214970325,43.305116523470474,41.623808933961065,45.36343456311352,43.93226621311527,44.104779249083975,42.908156231595186,41.52457544275142,40.763052925034856,39.942551548325476,36.100834248368706,36.20863945791912,37.43308366922468,39.81294543700462,38.56726423384496,43.015003572157326,40.39987307896949,43.36343967218458,40.70632616209251,39.722489160492295,35.26141890175193,36.23806185336815,32.08966551308274,35.315501610689346,33.56455207799455,36.57441944407779,36.19409511938053,36.09881930126548,35.961278663660224,34.70721969894476,36.02924799076436,32.07688699385465,34.964165609342224,32.794790402821576,29.627690698327722,30.75632926569335,26.585123097424802,24.845891789258257,22.48431435055512,20.399361177850047,20.793579940107687,18.459230488939923,21.397403717393885,19.77582237755952,24.220987488061176,24.81983929285812,21.592543280578678,20.18777993098009,15.819383414396754,15.759792389917786,16.411511460451614,16.868730464110342,20.01966095276779,21.62076292994571,24.457409224015727,28.62095280141562,26.36087758688892,31.064587337274514,30.498268490785033,32.709884533394316,27.27134146294588,23.974362551897986,21.099265136473853,18.253975177447774,15.604067275955801,19.42858276808493,18.13162733616363,22.65979433412449,23.63082157021847,22.450204717938057,26.174206510437973,26.62407264180359,23.746450546796282,25.203845870674176,26.04917630509093,25.218345834114412,27.947447404529782,29.097325653331964,33.898423184142736,34.94950953801744,34.73717994632611,34.37241923279632,31.20672946042864,31.573368789142922,30.669607322689192,29.758993143727892,26.990616195381133,29.147268744471432,25.332361323683912,30.084390621728197,28.904737309065766,24.939324684959182,27.600322713824056,27.719339192971802,25.551259871734114,22.24070882675644,23.993108787067587,23.09138352880224,27.704289878113368,30.331996194202524,32.30016045799924,34.626685814567644,33.552107927008045,38.89275328516325,36.88233434924115,37.95570921094596,35.307993562024535,32.51451498475543,35.21730471953331,36.35206363266501,33.18994999124252,35.498151629567445,34.135345030183636,37.77967906851865,34.17441571142796,35.88495915071163,35.67218660766788,33.717921782133374,33.36447325678615,31.567501906699736,32.11725473606355,32.09200903197787,27.71801014139986,30.130490882248402,28.453142497855847,28.81622124164957,32.49960924078004,33.00096768693021,29.016605448836824,29.161093047488368,33.398982395389766,31.136772636944393,26.659244886560412,31.21859135250977,35.23432875249653,30.2854172945475,30.378497598824488,34.3634536259783,33.49366458481899,29.862693508593374,32.98725123525628,30.80766383476911,36.62619205095679,32.48566797089401,33.48881032933171,37.666741404651596,40.73938512072549,44.684481372010474,45.28632810679762,46.26594197948201,44.07044512242337,46.08355449441622,43.461253986038635,45.97393451820649,44.788064907241996,38.856759428668056,40.66582131656555,42.49963505285795,38.49995285467293,36.074138182294284,37.82280357601262,37.21471792515843,33.44993550287253,31.532615599323474,31.18930421344886,34.185555293457064,37.60990747588883,38.84624500708556,41.096341744991605,44.856909181833906,42.02769176895603,38.016192875149194,41.531335816179094,42.537859048382394,37.56658049315971,37.413520113064116,40.96196315746657,39.794326256226014,36.63237421040204,41.01591960021556,42.53248363879439,38.95249220139101,39.333055821933094,42.90395806516031,40.65315759523477,42.5929563446995,40.690305081954406,43.18768980496771,42.38059203433607,36.74760825131829,38.5259397004362,39.677326626619674,36.87209206645253,33.85262248435567,38.66710286037986,37.56719342949001,32.01781537462691,32.78635347677974,36.980121354186274,34.83837113490633,30.84642780232412,27.11652256224471,28.830865897531446,25.517322655085408,29.495775117963817,25.55719721702297,26.59574612520496,25.22352016819376,22.558448145559463,21.40396766979118,21.527214456329546,20.267483993922795,23.950355144522582,22.103005072274694,24.869642348897298,22.239640969029328,25.897803054139423,27.740004996540204,30.175964122177618,30.292355094894436,25.158876036062114,27.33687247377062,29.655352814965585,25.20996389046954,23.659612675893865,27.99421171522566,30.133764407246982,29.655688684458376,32.19387246562988,34.84751072861705],[29.374911630197566,26.968798701246463,25.31391390420821,20.249615091633004,20.830176466801873,23.387797826825786,22.795135830995864,27.228640174460413,26.094159707282714,24.43286911970267,27.24307249372152,31.144634793850273,27.977882664089176,25.157851440378693,29.962163876798574,31.151827466865658,27.24239626702382,29.97433160609957,28.989877691664798,31.927903994555564,33.284294724015,36.14303974821841,35.599914277058616,33.19639305487029,31.87952346747109,28.69782114359448,28.297705144020995,26.496748814745892,29.752445312876397,31.811998432648103,35.19753305489799,36.354529449939186,40.29328913481583,42.34043469855029,39.47348678971093,36.05383151082857,36.287644836083835,33.691634801735546,32.03085307367138,36.71321894221474,32.09670537825192,33.59030444440819,37.80842933594173,36.69841037430261,36.71310807176501,34.922033582721646,38.90198476132505,39.51653353997256,35.61964899077788,39.31685772439055,42.872947083076674,43.240270343329456,46.20108723541214,41.73055812524818,46.38577913454504,48.11071116146228,44.07400040598372,44.52873118673403,49.031688269458186,47.898949046804915,44.12647233275496,45.80286253858457,44.82225423469352,44.72884203352332,41.89749384333459,39.54110220068537,36.170756047111524,35.05818784725436,31.51643032504356,31.492903415428472,29.488578221091725,31.599418480999642,34.557972416834176,36.33775358797727,37.4507689143437,43.485541302821396,41.76292737661817,45.74146931853403,44.27013007629275,44.24878441766639,43.38621110175285,41.83721809880298,41.553439268961576,40.47322501707452,36.473541875067994,36.831134437006554,37.72672837525889,40.55712557780649,38.962734834406746,43.72751262762527,41.037551153026726,43.94744073503431,41.56651705436725,40.91993456443894,36.63409743903532,37.74005271949397,33.75301534103548,37.120156556245625,35.65260525546528,39.02776046549936,38.15276715442373,38.35983916700699,37.71613875426408,36.74535343223088,37.66476489971502,34.00588963163862,36.94633974922176,34.648432369920805,31.82243629355815,33.0662615588373,29.149918796008286,26.97844006102599,24.885792982525214,22.254465950616748,22.406032740856126,19.56106836584433,21.980373704840172,19.605877480771206,23.789604172704614,25.14445015792888,22.002686707666186,21.205621668455716,16.732380365081944,17.376957222153994,18.7407025587223,18.868204061929525,22.714581220130686,23.776658076560985,26.527963471269697,30.30888598858908,27.94747323929886,32.58358315225046,31.520478357124006,33.93487588282183,28.27246898594759,25.163379120350854,22.299985521833012,19.165138935817417,16.231352475806787,19.87125989778706,17.49663184739554,21.60435090262373,23.108756716038023,22.468065167860043,26.20692713349471,27.222927148039666,24.57340189688429,26.61482827075193,27.834114701276217,27.483213136028173,30.503992369661905,31.885315865485104,36.719976609704545,38.05193380279572,37.544149793058004,36.93626453723214,33.53641680853192,33.90587786207354,32.566990517758775,31.64203827177849,28.301067382623792,30.05962771072426,25.77737990282764,30.414740342935048,29.015263683524385,24.579179251906744,27.499616907804935,27.112221736627806,25.345481221287486,22.135445268452468,24.321125236053806,23.541469866657746,28.306910850273518,31.117189502682816,33.246793021613634,35.92430884022485,34.88365124652321,40.195855023449106,37.78375083141636,38.999997677164515,35.952193987492585,33.75380175432186,36.06854753675297,36.87987227555579,33.61025147964431,35.51947326722424,34.01065680741256,37.31124329876881,33.246329430896004,35.25578782534074,35.02457090446785,33.49474647023702,33.338989872457596,31.88318663893342,32.677166105004936,32.852409828994524,28.721699255244772,31.54429704189098,30.294344042798375,30.960151743689952,34.763576597494335,35.52664343802584,31.638527648407834,31.782647971177084,36.13558251773056,34.14821535906401,29.68369948768158,34.20873899366801,38.374483212993596,33.66203747581465,33.72847847958897,37.72966559925874,37.0298088168374,33.4486956338135,36.46438256502761,34.13831692017027,39.91517490717543,35.382450921557414,36.41786585053797,40.63848366526253,43.43094123899975,47.43823085741193,47.79407079796627,48.79559129949199,46.4537276995738,48.3373571139632,45.685021655043954,47.9120841877234,46.7926541527582,40.967419952326026,42.524433906048976,44.103177579796856,40.234988456865864,37.77335986501997,39.146606755803994,38.49638380677308,34.99229910706266,32.78657760457812,33.06450850431096,35.93445785924024,39.40735782599917,41.03873135487114,43.25994012144963,47.227026676975505,44.36956181291706,40.374039356821214,44.1694151924016,45.247798701408364,40.308981182782794,40.290117264666556,44.00636283146382,42.96047667560397,39.84407059268232,44.17850117399767,45.83874842278539,42.402766504250174,42.691401366937086,46.18076766289971,43.804455971903586,45.561559053155754,43.499041003453456,45.816742163129156,45.201396921028035,39.61513855246065,41.061174405113704,42.204264396335745,39.54392931887288,36.28995423633001,40.84059869183302,39.87649608498533,34.416168513027785,34.7962211051569,38.85671137217853,36.88573357486154,32.96469903758828,29.555784562999158,30.948465013932864,27.966223254598475,32.197483594775456,28.597094327887508,29.66464927693968,28.62273362261019,25.930662592297892,24.524942980530522,24.258393462451185,22.891666264598786,26.458765865455625,24.807706569817068,27.182810383511015,24.68142731729091,28.93126852756787,30.7999072023628,33.42814288130864,33.567535024156584,28.47514724585218,30.903376380143698,33.22489425261101,28.613885225430174,27.34075419260582,31.755888239869254,33.819647285733886,33.20207708982951,35.624635106595825,38.27260346339304],[29.371571435007496,27.04196525052327,25.299242491095487,19.935634764352336,20.471433234729826,21.85348148814837,20.75830369692659,24.880061464872632,23.04723876737786,20.979881444794405,23.40335933786278,27.515260977044647,24.49274757226207,21.178656252996483,25.868942529826786,27.362656608886805,23.616802580636932,26.237819257777726,25.395749652337972,28.717689406082116,30.13278540716076,33.395768872544664,32.8587283246107,30.80745411475788,29.49216384237842,25.897834362021282,25.674212785940977,23.52890266533062,26.485779826219247,28.53603688548328,31.273825810969115,32.84064268175238,36.54205360626708,38.57610866372478,36.01280738124782,32.66635843641145,33.26692604334023,30.945223484479538,29.720987820313105,34.9250226160182,30.358861852942937,31.143928357396078,35.520833004276355,34.88058527330682,35.18658451757781,33.89639807227609,37.958806771764074,38.132181488612545,34.490519793949964,38.73041401072913,41.8989765206741,42.12721342102851,44.766564244387375,40.041841424376614,44.498556190110016,46.208155471120136,42.03933463088879,42.11896622223425,46.627455158018314,45.68628902396774,41.55755413302964,42.78110743934351,41.503775765663505,41.46504871401112,38.93405387650474,36.441171639698055,32.653365529896774,31.321738671903333,27.52586618043222,27.22116691511234,25.124958764646422,27.075804588154906,30.145080027364635,32.200963422583506,33.387769730761704,39.498453741414025,38.16474654287667,42.074423004253546,40.931775506903605,41.274597406858575,40.617241083736985,39.537315063118875,39.30391231316669,38.76318343533517,34.72462399451093,34.529402803500375,35.08514690089034,37.656340250538314,35.72115492166691,40.18111030742576,37.21606770504581,39.86403065218436,37.38739782888831,36.78121369822335,32.525502764501745,33.40092178959328,29.46604626911213,33.22694273352504,32.001461715315486,35.665588273178756,34.92430326142581,35.73026241021583,35.110124052797225,34.743000559936476,36.280288909567645,32.8196861570932,36.22933375830897,34.44105545902463,31.636981395774757,32.22918239496068,28.20764876232745,25.64193191087545,22.919440308454675,20.299832134835835,19.466583735324946,16.79510567415097,18.851378848621486,16.80485233111967,20.44374547371581,21.430176415973868,18.06854279344066,17.30484606858031,13.228961578532466,14.335654940378921,16.137240068895533,17.434630580187306,21.772163416962762,23.024923372450928,26.212385835001523,29.903813246932643,28.459367831744792,33.13038974984717,32.108697281641135,33.82557118575309,28.44664187068218,24.828750059518228,22.985043977154035,19.06947786646551,15.642873836951559,18.749470869892598,16.38329606589248,20.442125056183528,21.09136849742465,20.524679904925904,24.24953794443523,24.69130145329784,22.1744946193862,24.04864044535252,25.63049127647183,24.976602855634773,28.39326516940755,29.232093192157542,34.27234698189613,35.31540278371084,34.4041616382534,33.997867789707044,30.54249135779621,31.459692742037006,29.841338137798033,29.752389652851253,26.69487979858479,27.903529602176878,24.259033605181937,28.84630209945508,28.31629802700659,24.500688918200236,27.92352586815905,28.159299788751568,26.725188511269057,23.052503349667752,24.88385955309159,23.306861205164186,27.629546822770028,29.996967162282676,31.626349384750494,34.121513035593345,32.48498680831983,38.004205141100655,35.923251943967465,37.44789502022915,34.88615924585396,32.75666844916839,35.689194151628044,36.83568431697669,33.44789971490634,34.92554821576536,32.91329754615895,36.75425552680206,32.96880944507795,35.36360128246037,35.65206260264547,33.796496044399426,34.18938465481525,32.82627305493796,33.81946999648915,34.38118219397441,30.230861157886,32.87610956027607,31.686148078908598,31.628590000337418,35.76687350104565,35.91470200162522,31.91829640588526,32.7675654790083,36.94607148608003,34.43152709750901,30.53254284819228,35.20636334468033,38.818690429348536,33.88777213010793,34.40071041900008,38.34670744293132,37.069334791998635,33.778006257806304,37.22087235845428,35.22600964894869,41.01269891133347,37.29932403611386,38.001321337981764,42.120888892618694,45.2387099821694,49.22616289794094,49.76866772436669,50.41791464032301,48.03960166969022,49.79593165985039,46.83341173133446,49.40710370655513,48.610562463403504,42.5673183016632,44.0264210219483,46.132286108088685,42.38550935584147,39.65063003569922,41.122206677953415,41.04924086086988,37.46075274588783,34.84856586445556,34.77103991276299,36.99659016510778,40.55263848201482,41.94214724850334,43.76088006257589,47.563002281742044,44.330761339214234,40.65501578730979,44.47599348043556,45.05737448855363,40.04473867019219,40.438120798828294,43.871056518948635,42.53094064255829,39.72967185358187,44.350173157644775,45.68035946491574,42.07200462293814,42.923830475404934,46.57359204844567,44.49316375721908,46.30868904756445,44.184070482002504,46.88216846897187,46.39791380849025,40.684402889979395,42.347524974224335,43.87495094230363,41.18225343218774,37.96637695462976,42.91521235191564,42.17165803653526,36.57328577801927,37.09976677230864,41.52850857724139,39.66901052085678,35.670635874627585,31.946218408184027,33.933126301711255,30.684335187373446,34.552770092714646,30.42788222274892,31.115449653027877,29.3057632068968,27.0647339138913,26.0083083562586,26.421682912354587,24.836064817908966,28.158954160606683,25.64034590258611,27.96918854158999,24.785243611682745,28.881313071935345,30.11751466510625,32.799466525818644,32.18875918104504,27.358360592312096,30.089876879171456,31.793327392632552,26.819280440116795,26.197085520895982,30.50035698190291,31.94455480453955,31.079135970793594,33.29659221474829,35.950769514272814],[25.622295353917238,23.031319772553523,20.832094186828762,15.804093511112617,15.703312184107409,17.847774597202264,16.88760820429819,21.254863792379922,20.204706054530995,18.602475580869207,21.607849036730038,25.350648086400128,22.257341915913933,19.741232459129066,24.701601278992253,25.770326118238998,22.104435426290447,25.341420758930497,25.200655701226424,27.924966050990577,29.912607308512403,32.899625808899664,32.9173509669428,30.982739648028907,29.039889877886484,25.540470382666435,24.511325597018505,22.105621059418,24.928369477183978,26.516935372434737,30.189573523848786,30.878857123699255,34.8713198971713,37.22021293102486,34.33195648959996,31.187072936590823,31.072694661170996,29.104442118739716,27.70110391521865,32.71762484226145,28.58535749662468,29.959273288374405,34.317288124238,33.429994354681575,34.07382384590015,32.543221065881546,36.67172120108422,36.64165805148884,32.534401850124446,36.67907006609329,39.849802798257514,39.85066105682914,42.679939368083005,37.91568518632374,42.384371400131954,44.50542104481547,40.59098890401507,40.58957486571747,45.204516732663066,44.57134782752983,40.6808186605963,42.13559951600279,40.85746613231748,41.35834564949259,38.57109435535868,35.75422664726263,32.649631189257235,30.983092782292236,27.815700499848944,27.3049741604758,25.722624899651528,28.250606315528877,30.7149954796145,32.805257326583835,33.25902285809364,39.42465174868025,37.5789215070804,41.28787878735368,39.77736509648528,39.927537663070666,38.68998478792492,37.344734145345186,36.600398466209114,35.87503076835417,32.01011448242682,32.021679016824095,33.232109078461875,35.5978072646846,34.3934031993741,38.880664331283164,36.359664519864836,39.454381818836765,36.84776133973848,35.87731390744232,31.452650813644826,32.65051161092791,28.557607176776582,31.56899078476038,29.891662448172546,33.09935828920811,32.330876749368535,32.40770715043353,31.989806748905387,30.977830520866032,32.301137122878046,28.556993414873098,31.710603243242996,29.75690046758194,26.817581124700073,27.645818008373276,23.60838641188262,21.350318560765814,18.962850029764947,16.5238588198619,16.735154063694896,14.265938528469567,17.22824072465059,15.758229497564887,20.405160583310934,20.838524519520238,17.730809045794306,16.272836493208793,11.777300774285317,11.720860543509747,12.745974275495923,13.189296786818977,17.131029244787428,18.394657899350314,21.450723788592622,25.359758459035845,23.65694893884732,28.365201912301416,27.61590924497078,29.443195200747404,24.09228961057665,20.531599668529566,18.32736488678366,14.84846695298911,11.885159977694164,15.503511609248513,14.442096362256352,19.092379775218156,19.697371627267337,18.36809785640861,22.080226541679966,22.413816118976754,19.54733110519145,21.089558736575604,22.11953478879588,21.521511520317897,24.54374880201927,25.874844528294812,30.717570752374872,32.15805807479136,31.595416947722697,30.927198108024058,27.565402123893996,27.94362500259241,26.748097990595458,25.9599003523306,23.041552338634254,24.994458377907076,21.29306055664377,26.035629373034574,25.151748582181224,21.514243634398497,24.417952289995725,24.955558364093896,23.019193299706327,19.383936061801446,20.923275476968275,19.558914708630418,23.981737987211496,26.45364390635323,28.282824873938594,30.640562882507513,29.451411455542026,34.82654905702969,32.80223593551102,33.98797715833123,31.439755257339755,28.790278791731826,31.696279112851204,32.95529707214955,29.709825959838064,31.800512113438163,30.259976111812325,34.145615328018124,30.755867575291894,32.572222888837445,32.64288183827661,30.466115249376934,30.454226682227862,28.763733973757827,29.51049706472133,29.87120582258125,25.58448284468453,28.03491117196326,26.697834501408803,26.619035763580936,30.723965787940053,30.92055264441451,26.93354177282938,27.74693128387709,31.954644509898706,29.549010877894705,25.67242768394872,30.358159659853985,34.01541419416301,29.28664313727605,29.85360352539103,33.81588348096583,32.70054352468632,29.60012331404622,33.0199328018805,30.888511839749995,36.61293987746892,32.88288279210316,33.340797517523214,37.45376374253781,40.46702892561583,44.58691296443283,44.98229208639061,45.49038279447547,43.06258153001042,44.783418676137714,41.80714022928699,44.41578873913488,43.64096896743836,37.56198822683479,39.04417088116443,41.24783831499343,37.49829454309712,34.72576793192055,36.31824695283879,36.34896445124678,32.69291292020011,30.085582977824288,29.798964327691515,32.05676756444602,35.59551273252295,36.91984599274443,38.80338723927563,42.61518163368529,39.473098209261416,35.705201329267474,39.51922832848561,40.220914206337625,35.22123783658424,35.538651726329284,39.08626063393055,37.87111245696417,35.017636627552484,39.580050347590536,41.056298001211566,37.60955804706818,38.323767714797974,41.90224207339978,39.732239032777855,41.424831026736946,39.2244335656331,41.887590770136605,41.49858506523939,35.77605395108993,37.34542601903968,38.956370091090676,36.32301661263196,33.01567608444224,38.025764592408564,37.44208868254435,31.811740712774757,32.277774549521965,36.85765755661696,35.1586619136092,31.144115716832452,27.400005263773224,29.75374587189691,26.613196582026923,30.376070845858507,26.226824577319015,26.54731354685384,24.831673285032387,22.873102126753526,21.567291772297636,22.030666404868363,20.14172992550351,23.25395863618055,20.612701411391942,22.91711285029591,19.808726445142188,24.032443023196638,25.46051020173048,28.21875444827273,27.973525670898905,23.016207535426283,25.8684997988101,27.887984652405066,22.99048928818283,22.344123055327948,26.902024961870907,28.64648309277154,27.734452220041575,30.014810769460414,32.69517226062813],[29.492727573636685,26.72069526695187,24.097837425681227,19.644227316941148,18.498180334436608,21.568659585791774,20.213874296035787,24.404626193063077,23.789314142806194,21.645097257762036,24.674814339722193,28.35635908199543,24.462511283412066,22.27046217964522,26.857212741698266,27.52088473760942,23.305671986603137,25.97833790815911,24.973797600646343,27.39250921728168,28.896451208814813,31.42345399775683,31.169114571557166,28.77134443349826,27.092661547927744,24.128856456758044,23.361628755473944,21.773828339581687,25.2551811091995,27.447047974577515,31.440925139812144,32.303078599222395,36.461070523854666,38.29905400951995,35.110851442118346,31.584070583883072,31.59237037240594,28.68840067488511,26.77416538686926,31.194938042164853,26.66256316016503,28.514751851851614,32.64140263155984,31.354162228218794,31.477863750829464,29.596413406311026,33.61770103040636,34.112166987510285,30.060471968420558,33.755863199359695,37.27784391009845,37.617893014251564,40.63465102746194,36.19231811065353,40.89011242631664,42.69387579163599,38.75173669776257,39.29662704110582,43.822644100730336,42.73298828443268,39.159079082571346,41.09559708920489,40.29109180213664,40.38436550463312,37.30405650353113,34.89670552847618,32.081384053390146,31.04330602053548,28.019965223255102,28.312496124909032,26.628544449814207,29.24249351883571,31.688488904238607,33.087159850693084,33.83063009171138,39.73100594888477,37.49346375954031,41.47585179562048,39.664519118355365,39.34304822288426,38.32655853090647,36.512539297423935,36.293643660386415,34.9745204967199,30.962060430760957,31.579268513153636,32.61717869004172,35.64756959219922,34.30324249626739,39.34242560629763,36.99093211868583,40.25168809757681,38.06384593679774,37.4627776079099,33.290744631494654,34.88721838147513,31.0345510315378,33.799201885892366,32.36223592514421,35.854844890782466,34.238477133560195,34.370531903822744,33.20146821135321,32.27426277895247,32.69994220450307,29.34056643410104,32.34659459829846,30.05465504190097,27.670275815225747,28.88704054744233,25.380369379165728,22.662615801951045,21.107803503603755,17.90463443894609,18.364052628228855,15.156153772996271,17.557102793802727,14.983487374500841,19.750080996297445,21.2495639065066,18.530365072854465,17.849147276458243,13.13853797956395,13.770536914740964,15.538278986134916,14.704521097742342,19.334564803556315,19.57952549406393,22.24906168204747,25.531826345941518,23.43394051598781,27.985103451621963,26.525893540575154,28.810775987238976,23.108268707107,20.026540851306304,17.56479770454918,13.960786722973264,10.878994583107213,14.410978008454817,12.049005866121297,16.301436801844652,17.92845825551569,17.149721887626292,20.84067245248148,22.204173366305348,19.604739565069742,22.010945101658404,23.333717279881725,23.668761877468487,26.834509445276005,28.840507987523555,33.50450122039063,35.615427587374,34.80867444040357,33.59266282431608,29.963062887217827,29.987852442628437,28.3307657010148,27.055557864339953,23.223566607271074,24.90565733528827,20.30672482836367,24.883311715339136,23.330346010100683,18.902290260499917,21.937635002216602,21.747246698101385,20.19684007515145,16.76286101123882,18.942565774084805,18.005178043794256,22.76707758159857,25.644517359395326,27.905178006484302,30.79259016571786,29.99203105400936,35.14983782479736,32.44842556286923,33.652468437058985,30.389953499258034,28.508199915357768,30.63824290462662,31.369768045118526,28.03968446901848,29.81737801274785,28.337566365571607,31.62122400457959,27.662292989345172,29.632764034896375,29.524127708996534,27.88727682933579,27.9565601635191,26.662411810773534,27.684665382588033,28.259844669655827,24.33221975302922,27.375901723422228,26.69617912483177,27.18813629510793,31.39877364027821,32.11620213773107,28.360558046140365,29.060091162350968,33.44621544081868,31.631133454439084,27.762759117464572,32.33139268508341,36.28110098290838,32.105011576204205,32.593154027631414,36.56577505179735,35.87516181443767,32.93324136592793,36.10144418449462,33.648865795729805,39.246092358404624,34.839684150789836,35.24170788970006,39.408573025643086,41.88754491979789,46.15889528705427,46.071536804937686,46.54892542345878,43.860257919461034,45.34618715246648,42.339506556258854,44.467015016334415,43.806468917488765,37.915150223438985,38.98802952204952,40.798141108687375,37.27423559422146,34.439080047597066,35.4633770406552,35.47749474880709,32.22676559080323,29.156357510731606,29.8162375569321,31.90256056480728,35.485876782227024,37.44592209727378,39.333116453529364,43.48300246354985,40.393888487580355,36.60628575643365,40.85066836200347,41.774071953303334,36.88891869360616,37.34129080569082,41.22084403921346,40.31125106284523,37.49775340878729,41.882472968017844,43.68910129635509,40.602212257791216,41.03418641193234,44.40746775801793,41.97442421762203,43.29066969874654,40.806016353656325,43.11262194706439,43.08335262026315,37.472678737232854,38.42234129161853,40.03505390520563,37.68442998148241,33.95915052415227,38.52655392484988,38.25048600199222,32.773085129014525,32.56142213750198,36.986363369817205,35.660357161441276,31.76320287430336,28.5514877261573,30.565462611530236,28.02210663474795,32.13604879428866,28.546845479915458,28.769128914999893,27.7318992019076,25.80991650870224,23.961832840874948,23.7627578069624,21.601012663299585,24.416479799505122,22.199762879890756,23.79550123193869,21.117695527761914,26.304049066990917,27.938752456985803,30.982793595580134,31.074650316144623,26.191091691738993,29.371768041898292,31.609206874514356,26.65995413880361,26.310307410463853,31.04343691222741,32.885705370753904,31.79346223744969,33.91968991746746,36.5620340522657],[32.06724640436047,29.396411987128634,26.78828306804979,22.083156030105638,20.956750398342955,23.094248627869607,21.21014511532558,25.05383197542496,23.754697512724306,20.9465793830245,23.503197901074948,27.463571494537163,23.40855927803663,20.654167342509123,24.92810733940204,25.833020524118375,21.48662884410715,23.62898892341399,22.107789713602138,24.991327151880878,26.129689238395713,28.948752916551495,28.360448137997953,26.01170575715428,24.701264951459397,21.516817086185434,21.35256772096488,19.875637075943192,23.43339458626492,26.036848728528092,29.28266013273206,30.875242824941548,34.80588137520209,36.330864984641835,33.393047210408184,29.691421928679492,30.333641285600706,27.168926088838877,25.514258132056252,30.273693538382616,25.44303732382575,26.59406645297398,30.795846828476623,29.85792558877455,29.894243502232236,28.425828254434855,32.42984191057811,32.83413349207659,29.228705087455083,33.286811526177594,36.584394487310675,37.05566913643841,39.77622588935372,35.25366963527534,39.85880481892882,41.34062985060117,37.188527802714646,37.65942439360804,42.08118653496727,40.84299171735668,37.002112470001286,38.66475856982571,37.79668793110614,37.56465495292282,34.705615735926735,32.463027465066304,29.125360839619102,28.28261790703227,24.85422708168943,25.33635108560122,23.34747565234717,25.695493323863403,28.433293504017687,29.74988303818037,30.944278380481784,36.80318012881738,34.91747913594619,39.04222175231698,37.524650502020414,37.40424639220679,36.87215954699577,35.38757942093367,35.61156192829639,34.62126271249221,30.44497083417843,30.71500354380065,31.13317981151247,34.27907101616022,32.30086439632417,37.30466916808143,34.61166452625254,37.569329981625906,35.508127972226895,35.21642246804264,31.21349481783964,32.67416166886221,29.00285104181902,32.25417676973954,31.25488635068827,35.250887623545005,33.45567629724189,34.36234327400816,32.890657412521996,32.73422545907048,33.47777949691056,30.514912917769404,33.95351156578908,32.05758228886116,29.892830382774264,30.59564841780754,27.141944685222956,23.875318905896933,21.8911523615813,18.415724363987653,17.70454115622966,14.290867584356867,15.815749589819509,12.83885736516811,16.79209031603108,18.670597354703506,15.809564227620154,15.735752931091934,11.36753732911247,13.080769787068938,15.734208931577385,15.874427909676825,21.2026847451177,21.381355175566377,24.359059391376608,27.311313222965772,25.98578528956152,30.465686357882188,28.76234503751577,30.531332699516497,25.013887685387125,21.640286286873007,20.167224770308785,15.793167156897319,12.129280081431439,14.75873360969483,11.333179428169394,15.063280620395362,16.29712472145034,16.14820054314216,19.8338492388407,21.10192276064759,18.852680843292482,21.546028846518684,23.49137329381652,23.8349782518714,27.519945498200265,29.122834323912564,33.98218534742885,35.93647765879353,34.61463526296214,33.469083117195595,29.661306716652234,30.214433899086746,28.019852907678008,27.55235302906395,23.635533396240994,24.44471215163626,20.147485744195592,24.537482949964716,23.67807580274062,19.55745954857513,23.25816823207715,23.240588834759006,22.378220804606237,18.69812233809357,20.815862420474335,19.21762681953099,23.570617862114887,26.12132080291751,27.99361328156885,30.94788593127802,29.591514913624785,34.91160981765751,32.24190437325451,33.84822094791505,30.770594301275068,29.41296397453005,31.829975716025768,32.63144030161167,29.13907906216732,30.162159948671516,28.0615913605205,31.5723712102421,27.48922884521379,30.104995756490936,30.4917020669126,28.913613547539228,29.658180982431062,28.727059315128503,30.066801352240176,31.086523087322266,27.36132780561897,30.441040121135025,30.012353221639287,30.084589516834058,34.56073184697571,34.91196630176143,31.131548155586167,32.33908293083922,36.61524433819419,34.502481698712735,31.030960621941883,35.67689263002053,39.27902641630881,34.982888257435874,35.747386620404896,39.6849911838104,38.61868978402677,35.83108381425752,39.257779379670176,37.01037096375424,42.62813555347733,38.63614167989116,38.901731116197205,43.01541592607918,45.631031672269536,49.9253628917011,49.87927077524024,50.145992116209,47.405875465260955,48.75263608504491,45.52686705009785,47.766198029549294,47.36464978714301,41.399206605709715,42.29014697840107,44.3403425699387,40.97605726063927,37.96582400579008,38.87309762723141,39.25207263213999,36.083335238873275,32.65467284327793,33.33564152895812,34.879339838533284,38.52031894162148,40.465933851670016,42.016680432186504,46.11239866206058,42.72290651575661,39.22219660366777,43.58388878352047,44.141344368898274,39.23067838422527,40.055070527842865,43.75987506886151,42.66072218019132,40.10701583675965,44.682255619767545,46.274544774313895,43.086920960402665,43.90821115168846,47.37792976290441,45.127820809149846,46.44716720379381,43.88242187284727,46.390453291619714,46.502577994460744,40.83184012248901,41.83717078907352,43.686649857890266,41.35051773076728,37.61246566616633,42.32868953893433,42.20131271749479,36.68504041087934,36.4727500824162,41.03091587176842,39.791424217667725,35.88219938157889,32.56766757831277,34.75112924508207,32.08218524189926,36.07735101201791,32.24833722559404,32.35650424558524,30.881106687650174,29.142004558551193,27.529659998895376,27.649175707865894,25.431688478878367,28.13243568883057,25.434823468198083,26.879829807317076,23.749993168140424,28.955613972771598,30.090010961824678,33.21519504376807,32.696183105619426,28.05229421217681,31.50113328803423,33.23900247756223,27.95467668584439,28.16307628031327,32.79104519979322,34.117936529363256,32.80975708211736,34.710681601038694,37.35402229881652],[28.263543158559745,25.67473852769222,23.0957522459664,18.227215833441196,17.315030250444817,18.457055439442584,16.48361783882088,20.25655905608152,18.623687457672354,16.03029433072209,18.628717403514024,22.602049157830315,19.056510940490988,16.162537470568854,20.809669862067803,21.952136581612873,18.075494175792564,20.93842537598576,20.573310605817642,23.556630467572372,25.43916727436969,28.65967821550586,28.60846202542897,26.89179335528563,25.01236170666225,21.270146341532737,20.501205686155018,18.032424610563137,20.86713956174028,22.799079505249225,25.978315450928402,27.22505026116202,31.084760058703615,33.13341304709052,30.387322940630416,27.089963896400793,27.466700699249518,25.308724228143237,24.168935587873765,29.54188910737715,25.283164342044024,26.04385851261001,30.483244052198334,29.971681960912782,30.750956456505588,29.669454343501744,33.823196010991886,33.483634569494306,29.711882445176297,34.297591067860665,37.13525245105721,37.15619655072046,39.6784664185114,34.76848447005078,39.110121389540424,41.048653643592985,36.98273776868387,36.81021372870786,41.368479485698565,40.747455082994826,36.61326261490685,37.804494853494546,36.424348510625094,36.837761673980566,34.21516293523905,31.403412324192743,28.018281496121837,26.377549024952245,23.061800739357903,22.64560657758249,20.97667875572821,23.528520982693053,25.990822339617782,28.01252378509954,28.604149646354127,34.753891557374715,33.07284267192744,36.856948415093186,35.52875552714936,35.8410243406443,34.93933157908421,33.89492374555851,33.50069499740343,33.121425706454154,29.118543196936834,28.76514181651917,29.480639517837872,31.901243201388773,30.230949741901007,34.70073343655211,31.966383201273292,34.9201324317925,32.42489994929447,31.693030305561656,27.412761438539054,28.654311481519713,24.735480748530847,28.010473472608666,26.75932540239434,30.53595904040618,29.33687693392907,30.200502519701363,29.320889502242142,29.145302979082246,30.715976546466425,27.49643273579039,31.16388256859956,29.691255582925084,27.160248212730565,27.354440140101207,23.556735840154346,20.465000075153494,17.75904448138075,14.809795324860369,13.742956752114823,10.964642677586276,13.201241643317498,11.634095527958522,15.852568390876813,16.301162933591684,13.122260614744613,12.044355378135979,7.686339665978237,8.748099994943116,11.078451626719751,12.399865756622345,17.472495453923248,18.30598846630323,21.6724433948835,25.005500196033093,24.33299759537372,28.898660849923736,27.803316916354884,28.952808394441,23.859409425471615,19.956446803723185,19.089575784911403,14.604611174628953,10.982001275914245,13.544785496084074,11.932518780886694,16.252100857877185,16.152568064920253,15.14336555220091,18.82829303452629,18.93976472184179,16.37037152481792,18.217989837137644,19.94614513884894,19.558950224653188,23.23351565300303,24.329253397690007,29.321418971468038,30.888810209492767,29.63515098730871,28.81096230322261,25.167038270583433,26.01650302188975,24.13650222716074,24.145243879020363,21.051413661734713,22.09462356880642,18.761253663051857,23.327679064594157,23.237725508585058,20.11068916824919,23.676215125819127,24.630201064202264,23.38805485488098,19.398046598425424,20.742597137103495,18.55274863881235,22.458259528032862,24.533991526178497,25.93282635446288,28.359193484085427,26.623457656097667,32.146939765699145,30.152030013225158,31.741742094345444,29.42634090223729,27.326496299449587,30.575152903091414,31.96104416591099,28.548539623950667,29.889333014306956,27.746193158529866,31.98933069322504,28.70346358709666,31.05107930633196,31.687111794309132,29.406878378351898,30.141677548069715,28.820213983539936,29.954199051420872,30.916514104833475,26.90769851044482,29.42022472399185,28.56814801210264,27.912929772004432,32.44274651781445,32.17854155171147,28.24969204833294,29.879704927748175,33.920069827466854,31.2554768562145,28.156793274403814,32.877876717971816,35.99565103700492,31.410685286053145,32.47381297593486,36.33046733600735,34.79622400288599,32.20065122768673,35.93196495948314,34.012821076865336,39.609742696008205,36.452247567782734,36.48153288334052,40.468099227646164,43.50230476421386,47.68566169462269,47.97926756884202,48.03984008227625,45.43672052640285,46.84661413258269,43.4956918903373,46.2153787574904,45.9071776637129,39.738324174055236,40.83978076019615,43.42180742807253,39.99304442481786,36.89114717630522,38.246873205827896,38.94913235772084,35.47761435996107,32.16522497867044,32.00661041745815,33.33303931851801,36.95661188837894,38.34829365491406,39.71207777867273,43.49621505837705,39.93823070168286,36.593413306053776,40.67915709747216,40.88985487255375,35.90223533175869,36.831912432204604,40.211000925278874,38.83430659048286,36.42818313992496,41.197933022385705,42.47160227188116,39.07652369576698,40.297583208682276,43.91256743213286,41.95061798775242,43.46069113146038,41.01961679904017,43.90316330135357,43.903379568193685,38.14656115220645,39.58111435160003,41.64126201389536,39.16584473380466,35.69006271880203,40.85080308475045,40.706570104295864,35.07480119834822,35.30755173349867,40.15628229529105,38.81795433057836,34.83417113094993,31.10150356258755,33.86992643198556,30.815097267674144,34.34119434314517,29.99780442666772,29.824231317475874,27.650952767638202,26.283371423796716,25.07083738904524,25.898803305285533,23.659574814410583,26.249059522859717,22.87646646881096,24.62924554621719,20.961632235206736,25.510913557948086,26.21223140482595,29.200735998468318,28.224896327163183,23.70756198546524,27.163500697824283,28.522652294332893,23.143185464777495,23.595652675473918,28.10252311292561,29.11530665079749,27.743297558989536,29.63265847975397,32.2832738004735],[28.618424937969905,25.684157442761826,22.32977054727412,18.46584769629694,15.87954632891871,18.654314255276898,16.457371836456705,20.175625968636183,19.851930459213985,17.308825445709374,20.43099714991087,23.8337276139038,19.496518781276855,17.914167415273155,22.2889339532008,22.54404178002497,18.28975681695859,21.1716906308557,20.70642162113983,22.685925159948052,24.693398101587334,27.154924144925058,27.439644574027497,25.443268020845547,23.14809276957537,20.056915701321238,18.64305785875384,16.73364250059324,20.055278482250046,22.07292921414168,26.52374848003004,27.004844157427932,31.28326145978324,33.1374648514706,29.789084564044888,26.358362231180216,26.0907110529789,23.38962770710533,21.544669975099165,26.15236095900826,21.988966411231676,23.840529209814807,28.03163272468852,26.891487864584768,27.566157901401105,25.934707503384836,30.061187386445624,29.956630315996296,25.739577978440284,29.855844856796637,32.994905726482315,33.102570232670836,35.98565654945071,31.304782838724904,35.87822285538799,37.956612938379656,34.11695497614464,34.35782252486124,38.9548093042791,38.240058998276034,34.63629668954033,36.501891580344235,35.56578821901885,36.13923676203756,33.00421903702576,30.259191277404927,27.888608667458165,26.526431579540844,24.056113369226498,24.220466296142433,23.00944017227138,26.108509955462484,27.92534612298943,29.29094568643756,29.423549655718034,35.29948170718051,32.75076260676541,36.56015117241111,34.58130072535321,34.249660247537314,32.957784778238064,31.19227024328097,30.76568790612749,29.620315842489255,25.639483654677385,26.09453472864519,27.341533835215937,30.18450393720563,29.15666991865993,34.15550717455274,32.062549606163806,35.5911908531349,33.39046791518853,32.656445376346106,28.516886885317966,30.437530053226727,26.67857191241033,28.88942217788983,27.431432480663513,30.963299140213618,28.91731997348529,29.077555524887522,27.654200961982458,26.900339397771557,27.358469088512578,24.22686313256555,27.529672659951412,25.590787337017375,23.48834203865329,24.257669956216947,21.006282806316623,17.708795079411246,16.286855349235125,12.682910883936044,13.163104578573995,9.860877678926938,12.49560372866624,10.51681565274396,15.872832965343862,16.7770167218564,14.451122234140005,13.505160520382363,8.862147275585244,9.15892976519365,11.245366373956045,9.966161217099101,15.412928849543135,15.09719105672221,17.96066106693615,20.86144489890428,19.654337549739175,24.135163215848983,22.603436251311106,24.22903371178645,18.78808196144346,15.280889344818453,13.974432767172104,9.489282361099049,5.993424854116865,9.184559897547613,7.967514720175283,12.693525429221717,13.453065298510673,12.036629114981128,15.710773216084924,16.75876821639888,14.06945073554461,16.47548260231611,17.89709013815743,18.596893643737257,21.96093951913757,24.25090575434568,28.79397620357336,31.406594643739865,30.276349306602796,28.659975609612896,24.891853932814204,24.80443033447112,22.905726394533243,21.662618102682355,17.736851324419504,19.322197806028452,14.971893654400397,19.60107564787214,18.504031863699144,14.85909269446779,18.089216241119544,18.84231357233568,17.477681667314847,13.544385030665472,15.110811426268926,13.364871278999246,17.771508921397082,20.37338527217442,22.420602357539593,25.245992830924802,24.369969611056504,29.530288695198486,26.92463971066479,28.19140887848022,25.19323815358057,23.286057027236524,25.8225703677161,26.866632332804294,23.474748987423734,25.148858324887357,23.520308147421943,27.317269472954266,23.94810522510658,25.86269147132652,26.169503862754794,23.979057248989026,24.447254658075913,23.15780664271129,24.350644246490916,25.401277274872214,21.58988462299937,24.453293829491678,24.12824985162006,23.88910472048912,28.54019738815119,28.755370700522427,25.071200172440967,26.64828557029422,30.84424231807116,28.824891098117092,25.85593991899168,30.44385722440901,33.804707109202646,29.968795905426337,31.032994890842506,34.872986708801406,33.87013632878081,31.645242717656078,35.10294392846694,32.80173528710474,38.175447909474954,34.48008424475718,34.19336985303407,38.182031784935134,40.63346616291541,45.06086791863572,44.790745756365475,44.656257577639344,41.7592563912818,42.89576687947807,39.47265751729968,41.80855444784649,41.66929288835599,35.628347316065295,36.343083687097945,38.72362570856495,35.53429817984974,32.301503492969125,33.24703995254467,34.141012200418956,30.992716740097077,27.1814124939576,27.656338242546,28.718239558837062,32.38372299380247,34.29443046984112,35.67403872247966,39.777764305726535,36.32171242250941,32.89973389094996,37.40007320168263,37.89983023226214,33.04085153993046,34.06480989568535,37.84397222758617,36.869674430757335,34.484919795015486,39.02404615956938,40.72499559794578,37.834782479034914,38.68250717808567,42.02835620225563,39.764386748619984,40.798261946248005,38.014571235322556,40.55724834651203,41.00300931014939,35.356679197889655,36.12471878441324,38.30686462006005,36.165676953434414,32.231846767559546,37.058226870482144,37.39019460421737,31.895576205982504,31.45160026696968,36.327885678185815,35.514085040673514,31.651501343173287,28.39213457730066,31.24318237952559,28.838928438101156,32.487033634699706,28.63397084983669,27.98499236272919,26.48745517714072,25.48715727572455,23.60893677907151,23.946565689391825,21.18344374076491,23.163071001345234,19.956890585496453,20.919301600885454,17.671834372105497,23.32309672247866,24.36523736730379,27.70461007820694,27.38913301771627,22.88833842538473,26.758492703214344,28.59060920156064,23.326240562951302,24.05840973181417,28.86335870951354,30.232387787106582,28.67694184930415,30.442635656799,33.047059869492536],[33.188014483126246,30.32018011063531,27.093837508075243,23.134991398133195,20.729022522788902,23.344005106648737,20.973161528154176,24.41354601168418,23.708992543535683,20.585917765925185,23.242309548638666,26.845952454203957,22.155824259265835,20.16694305677362,24.035508444387162,24.345202496440088,19.73010785980035,21.66320448218617,20.01448317746217,22.247573802949073,23.449298585109872,25.802249352684466,25.484759820455142,23.08189932886562,21.443242594087334,18.632345075959527,18.119484489627403,17.061294189485462,20.900986338743376,23.690910166937183,27.54597025995178,28.827753316385962,32.9472408089888,34.20090636992193,30.927691298468353,27.10555937119819,27.5212121969677,23.92598686333139,21.92886394887369,26.255225712400886,21.493911280006166,23.095429455341865,27.11707980586067,25.919004862030597,25.980612179865794,24.343637810289025,28.29916089244319,28.685861252355323,24.940066377024344,28.85373560999744,32.160853759628004,32.77455008383652,35.586308812504804,31.16043447083463,35.837564159686885,37.31735062181027,33.299869653422704,33.971599162751644,38.355191379044015,37.09593245400153,33.55816095147471,35.56632610964611,34.95298056703336,34.87404780931035,31.719567147489045,29.48960747544186,26.810688709292844,26.14277027922056,23.33443457249138,24.232613692526552,22.6112396709564,25.420789931395433,27.58044185815475,28.412843675140508,29.247879640447085,34.886345877789424,32.43339056184769,36.56979404833137,34.67047550035581,34.16905560350709,33.50304444220876,31.666501281078357,32.046403438761416,30.71646330347712,26.5075221271695,27.170457072017648,27.70998282293943,31.140832963348036,29.424911390508672,34.75275160365025,32.44624875902788,35.755839265950875,33.94723536691466,33.73580907732675,29.919019140366608,31.87044908123473,28.412404654548734,30.98538809766465,30.038192200175434,34.07126499033263,31.532466195099133,32.31502251224573,30.290657319950647,30.152913572387238,30.252091045276497,27.67882860377459,31.042647043902384,29.111769668733793,27.47855797568524,28.2400177574734,25.33826309969134,21.681854935970062,20.42845730562003,16.51098741543714,16.130440848259017,12.450482052457392,13.614116742466424,10.277045491710856,14.748920427835962,16.906232052738403,14.693578187070898,14.910935636890583,10.723973957859277,12.463453472240248,15.358626445545381,14.446292066043693,20.101051223492533,19.394545955470758,22.053487945996178,24.334853269216516,23.192841323984755,27.402203300209578,25.266095120177646,26.98833813150454,21.527323959446704,18.432252659437168,17.38423034985399,12.92046534877541,9.527356158894234,11.457426108185112,7.813607599645277,11.302371983790104,12.807492837780346,12.673718548497709,16.18789361098353,18.001136732730508,15.957234904650466,19.098665043410126,21.13362553569169,22.255339941096793,25.929894425962388,28.148812985123534,32.70275264472113,35.370916734067784,33.85044826757379,32.12167828856605,28.16522858347196,28.312202350830947,25.833268254875666,24.944361972703568,20.517720116557474,21.158112474173322,16.495484689286215,20.638936597800637,19.475520571082384,15.343640741707006,19.05368069462453,19.016699202475234,18.528191903236433,14.895716685664143,17.063336135484686,15.477391849193479,19.707054585141083,22.34071040899817,24.39106657266348,27.59235403821734,26.5762910183899,31.621208387788233,28.59162057199788,30.1449177098891,26.76016199868145,25.87283586674963,27.897574370872213,28.498582351571745,25.000625740749612,25.832488039791265,23.811529372753405,27.11683338254567,23.04719007729523,25.615889403476345,26.054579462086814,24.52875141369554,25.47033930287762,24.797585954588204,26.34881519263466,27.724120011683492,24.399588377094258,27.657846340823685,27.813019672794113,27.882914637459823,32.541999991143335,32.976396684684644,29.45022517568717,30.978446281847447,35.205578849142555,33.40930095645009,30.435361572736152,34.94377551341702,38.40196816962309,34.69450293934067,35.68516596125832,39.527148079147864,38.61194381258843,36.32992814665815,39.70251057860696,37.32779368234689,42.705538774821235,38.6929891490733,38.53034662746547,42.55255855186301,44.776358876738215,49.293565718603816,48.789991861766985,48.68505340387774,45.6970979570248,46.70040486321023,43.27148507761811,45.29865829298181,45.24465076958108,39.37608270419842,39.82029956335595,41.91192635549357,38.89714856198387,35.675031162060584,36.195126783451975,37.03101542698745,34.19574314616571,30.15096414456945,31.286254900280294,32.18930716089553,35.839667479432165,38.12139394571479,39.41327512173171,43.65007308567166,40.173394756615735,36.872065178813855,41.57191388029783,42.07746593099812,37.318711074386385,38.48060443030631,42.3215054476412,41.41813782353846,39.11319824945897,43.591108011082824,45.35142979228395,42.54242624623487,43.35575801226591,46.64233277535768,44.31418657737223,45.2269021199106,42.34862290781451,44.72032132343591,45.31062592389499,39.743087488308355,40.24934861927417,42.38191274670797,40.35531657014654,36.28784916019126,40.82345102932958,41.21849933272316,35.84118669896894,35.09519814291872,39.76297040473956,39.05474575618808,35.275000282203514,32.2843826212847,34.7416434764514,32.5301740541041,36.432582404602826,32.82664137051759,32.392651760559474,31.123080861894515,29.89663116733502,27.948671435385386,27.955222137558714,25.269277018169163,27.339520913960015,24.465352994872557,25.15776551858435,22.14410853608507,28.01086791138994,29.007152150209823,32.39410791337767,31.987133677736985,27.612409501304835,31.531432148880093,33.256965837467575,27.906857584176553,28.75692995843068,33.50733712934503,34.73001481086668,33.11515253778278,34.74241318941385,37.30672191448476],[34.73907245154577,31.994933352987694,28.906687398731812,24.64715070594293,22.57073054955716,24.355132606847043,21.766985564907394,24.96553290130815,23.635669467454292,20.15614223296258,22.358378011151736,26.18426918654419,21.608382304526437,19.057987008267112,22.68244673708331,23.310410914565026,18.76252995000234,20.28290282140899,18.316334598630927,21.0368981164878,21.947696304616656,24.628267670466162,24.02384742628576,21.7422338984573,20.444995449331028,17.393748265686114,17.438383180542495,16.386384732665924,20.09747184687625,23.094705711027938,26.164027396403597,28.058317162991944,31.912745574576466,32.99149248572624,30.022314749408324,26.148737741989446,27.098034487729556,23.488552605568163,21.836853685418433,26.490360215651723,21.594377630379345,22.464527877396893,26.537390999460765,25.684335502376165,25.729103666111374,24.484296336163677,28.39649528951558,28.650047152621543,25.325608556597217,29.53398229314602,32.59460831102237,33.264470087725236,35.80134065739021,31.326651222767154,35.83679289545498,37.08699059364813,32.93261411841662,33.47099134538709,37.736849830100454,36.416215715337735,32.630623244524514,34.315842787374166,33.571014052262065,33.27267465240009,30.375080617755057,28.238269485772232,25.035233452966914,24.44628088437408,21.230106738994444,22.131019970319944,20.224941609108075,22.736214866047312,25.19486593784027,26.098054045102334,27.3092425513345,32.94956528379477,30.905039407948216,35.10519650258963,33.533184176735624,33.29472005576791,33.016426925778624,31.549078006288386,32.211662149039014,31.26115553259709,26.99943163498426,27.25778863632118,27.29049954630889,30.676231247312543,28.438613637361147,33.59909411348365,30.960704910362537,33.94742099712335,32.17405246084892,32.16681639757654,28.464940208077522,30.188259663075527,26.854144560777595,29.91339137407936,29.297747405437754,33.65292575706585,31.184829697685483,32.57290215824486,30.488816382321676,30.934791167740343,31.45677525476811,29.13232057568762,32.79737213055722,31.211595449977963,29.61785126349608,29.958980728647557,26.996207834069796,23.11246176018554,21.381862459179995,17.520190908124192,16.176709351999033,12.621939764104715,13.079272777797668,9.775972071377272,13.12931189454745,15.42927092309886,13.017404298453913,13.661913958735305,10.08226618817799,12.50319330916149,15.817178362257634,15.920848074251731,21.76715287771538,21.279459858207865,24.189028891914166,26.36083690838627,25.790887310663784,29.93895935836128,27.801117706590098,29.086731792077625,23.891086141444713,20.59705632825935,20.209434244367735,15.435157834317344,11.822871551421384,13.035913323870504,8.91079732149662,11.640893274042595,12.69239678915901,13.090108014723496,16.47144684792672,18.005602384767908,16.26903116513934,19.395376591700145,21.822384200626974,22.718924579431153,26.706875542896604,28.43045396070317,33.13785320345613,35.48480426840651,33.647605386145955,32.12578944244212,28.12569228269308,28.772017232000877,26.000319679520103,25.85823856315455,21.622659019113442,21.613253312820195,17.447309752857006,21.374521364076383,20.87374537211727,17.175402721159767,21.286022426961498,21.470272215516186,21.42573627783316,17.727500361408385,19.671672118488324,17.62578614394604,21.374221473892916,23.647621588544585,25.284181486868956,28.399396623162147,26.87906562235436,32.03700779863774,29.190201271504783,31.03896004052763,27.964461360803003,27.35404605959138,29.68509610744439,30.407698821423534,26.848293315714987,27.136441362592105,24.637075424086845,28.141344724755516,24.09785709624363,27.13063551223488,27.9677640163918,26.450036275759732,27.860804440845833,27.38879693083391,29.099825676856476,30.687778807539132,27.430190282309518,30.585330352717918,30.747388531446774,30.477699805427054,35.24016921338784,35.35537389647938,31.775671709863975,33.598181494322745,37.71612863980235,35.617720505666526,32.85876387296367,37.425002290814604,40.622437769600836,36.70858911360914,37.85745422376983,41.673999317054296,40.43916361809149,38.18549045789445,41.75443572983453,39.57989579797291,45.00139168469169,41.350991003240686,41.1641522620248,45.15079892736927,47.57988081856109,52.0225572805793,51.69871242552323,51.50820069397358,48.54341493741528,49.52174694143845,45.976509678742815,48.15941838123627,48.22554362085252,42.295091604544965,42.720105695760516,45.004934002191064,42.038916746821684,38.746364777120654,39.29788622549183,40.31162806774019,37.446231784185336,33.31657081526387,34.30068149104254,34.952382773284356,38.61203343503972,40.75511427612279,41.843220412210336,45.962254161047696,42.30049431209666,39.191886407931946,43.856280682783414,44.08524971826503,39.29336687277208,40.649534280501264,44.29452776697722,43.20097172829906,41.052878968683814,45.677842121081035,47.22032053269131,44.261632899993806,45.377971713293604,48.7677927830647,46.61416698792326,47.62325585700704,44.7733836418841,47.33286525471766,47.912913408317884,42.297306233596686,42.97892139454358,45.22363404204515,43.13720127703917,39.16587653333464,43.86119592098589,44.23807786880677,38.81631767314015,38.21969785392787,42.96056702489161,42.190351916853416,38.38387216119794,35.2315381444405,37.78563438005264,35.36110795629038,39.167655966700146,35.3167446021771,34.90479424191621,33.260466522315205,32.070429277077956,30.371981192291596,30.65955160603789,28.037477071905812,30.17597759568302,27.019199763816594,27.797600556636006,24.461282596851884,30.0640228646791,30.70040590148171,34.04421267551192,33.181300817505516,28.956752912094544,32.92431582392094,34.26697281276213,28.740450653049013,29.838272285500384,34.466638276185684,35.31591133843483,33.60689905590359,35.124824153740306,37.665374073740644],[34.933532690422155,32.29589939952451,29.316470895909717,24.974514632896515,23.116305593444626,24.37616850368035,21.747590389457713,24.769679282160734,23.138016025251375,19.610157519991112,21.572963187974214,25.451701542288934,21.08717317283491,18.309986812714413,21.84390991731978,22.65147536612523,18.28951840327625,19.761276261972334,17.940319486572122,20.821483871144967,21.76296931874912,24.602655162863442,24.013370021777973,21.926082779322446,20.6575269763537,17.46599996902162,17.588869147269637,16.361536469729444,19.8286747849944,22.742760593426475,25.45537578500093,27.511358850633556,31.219314770009927,32.32883022799594,29.53319999141885,25.74821858354824,26.84346931224481,23.455257561899593,22.04576386167598,26.88448713989749,22.093028089664177,22.616517954778644,26.70695578421183,26.071816662359307,26.249279959233355,25.23108742009286,29.080045212978696,29.152872347888167,25.99106337860411,30.327319764261798,33.174670515894725,33.84275187579438,36.216761549616606,31.70660227421716,36.05635019903483,37.28731603129125,33.14353814363184,33.52337593030286,37.72077580113827,36.4936062147139,32.60470195391274,34.08509264478124,33.19977521463105,32.950872357877685,30.21149345395844,28.010919660964028,24.631079982869466,23.915770096920653,20.60744848802941,21.298742164224052,19.36841483878109,21.775159423410123,24.275555144712254,25.36282019738041,26.573227449722243,32.24253852011447,30.401019988493555,34.535145149449846,33.13276316162984,33.07636626712347,32.87295679291415,31.620511729761315,32.26778376205085,31.56004208748322,27.367860165781074,27.363588299001417,27.259655223667888,30.46637108280647,28.11250348304211,33.07426787136871,30.31079819166295,33.15874981460815,31.312676533809505,31.298302026365015,27.604481748457854,29.17061516132641,25.85152577961557,29.10647109939203,28.580408717024177,32.99020225960975,30.686452745946493,32.29372664008055,30.311047756031076,30.97253239309193,31.793778358085415,29.54023101402943,33.31957435475036,31.933661576748655,30.307525830543707,30.417155190146836,27.405112121939094,23.527735354438807,21.528145034580884,17.864112074401262,16.09687304008424,12.817478611906722,13.053364981582435,10.148964691327196,13.034366262567296,15.027328738150747,12.565298822682232,13.165259899373707,10.094579182796283,12.559134458894414,15.85395249454744,16.53113461348576,22.244301184001316,21.948118473918182,24.95672210199859,27.119510973114302,26.84867484129339,30.944212148884112,28.92132188396692,29.955082664074183,24.97998861090831,21.586259376839088,21.504527334014224,16.76143583329211,13.25954869132116,14.128183667953964,10.480196711109711,12.804658560109768,13.313127960666664,13.733107265197441,16.974896471288464,18.158165914255218,16.522199608880342,19.438732060130604,21.945603474520144,22.61271448511492,26.66252748364596,28.0753328864244,32.82935189555919,34.94636098054253,33.01747528439589,31.654496494857668,27.70318201984172,28.597845599243485,25.797708649527358,26.030523790145423,22.061532067191035,21.850609692768913,18.121460576421992,21.924158086799817,21.78176187025916,18.51624881954779,22.597624396946085,22.980471494995165,23.01642436991386,19.351336965863347,21.071815408614533,18.842082222585976,22.266952361648386,24.30025525473595,25.685378545141084,28.6461324924372,26.884020306932907,32.081497048971464,29.442572717504532,31.379253854417716,28.57910566361741,27.944300818229546,30.493548372140562,31.346233414852346,27.819752577264207,27.972950871066324,25.327921772278337,28.98042897244758,25.13229365090571,28.225001540939296,29.22379028742457,27.617625386713634,29.158710819831846,28.69475059342472,30.406483342121213,32.02610509955969,28.760960641961205,31.777625694062884,31.873348513810623,31.39152056057278,36.142285830768365,36.05483853877419,32.47132927945041,34.43315714914886,38.4404652981368,36.17145229674837,33.56749053955146,38.12026692048223,41.13137942645497,37.12960090165242,38.368026095522026,42.13475095325911,40.72125268261269,38.52235014413925,42.1778504070059,40.14147810161383,45.54480876400901,42.1584147490006,41.935056571206665,45.86588010260481,48.41103211459305,52.77247975018506,52.57183409416396,52.328736979259055,49.41316745697647,50.38812334373027,46.80737657391867,49.10013375824514,49.21763815353588,43.282968744145634,43.731258912319895,46.13418982799179,43.19908145681242,39.8969410196339,40.52123248855094,41.623638979104314,38.718164793904975,34.618080679911245,35.430210648263895,35.96720683346613,39.60001703237501,41.595540293805115,42.578742491196735,46.58730663556535,42.85540813595547,39.855612838424065,44.43207568493866,44.51102554550765,39.725172959996925,41.15457765746068,44.65683983776698,43.45819004672915,41.4010585033479,46.07833679821739,47.485078838594845,44.45320286762428,45.73239194131235,49.16428944928558,47.126916396269564,48.19618749897731,45.39546390822052,48.05798727825682,48.61223723455391,43.00137800610147,43.805847778423676,46.10091051195025,43.98333220305512,40.114127609532936,44.89447784717994,45.25484367944452,39.837401806617116,39.359585124943635,44.13121021413798,43.32848873813038,39.52923496196229,36.29029389443936,38.929653498687024,36.4017828568226,40.07816557758449,36.103426085466566,35.66799552589224,33.807316496816675,32.68688096297798,31.15781034609739,31.639364670189803,29.068828887607875,31.195115366786933,27.908384186333887,28.743455483199103,25.269111866130515,30.599996241216914,31.027067473600113,34.28665234836815,33.19177177215308,29.089886898432905,33.01913972362031,34.14228553618254,28.59391832512179,29.790512482693646,34.30958330038361,34.955951037183716,33.224223000056355,34.696241922458135,37.19091130293888],[35.174113203470945,32.603392117475416,29.796564515609948,25.29336359958414,23.799259884439216,25.042899468960332,22.632100971621913,25.7646586896642,24.07286712953438,20.722074139554213,22.66304897338541,26.563965267443614,22.375942345398908,19.51275749444659,23.060489546229963,23.95967110403045,19.687900459574145,21.116292207183957,19.219814184086236,22.17029783833597,23.000782641327078,25.845896437172446,25.152943730315474,23.024747610721736,21.892310292295313,18.74564076742476,19.01448906346054,17.850316423118198,21.275884596801426,24.161863535571108,26.74752877836084,28.854890895539928,32.50330494967748,33.625810346552505,30.89142245036144,27.130627787521906,28.268451847949045,24.90957212466642,23.52083524114821,28.293378597342556,23.490637038905774,23.975153116770024,28.027023103488663,27.382819331401638,27.47964141524864,26.449877023673803,30.224905285386598,30.380082278940286,27.2908613493324,31.48215688214118,34.37313796820743,35.09297008695538,37.47234717813464,33.036095537474345,37.3576910639141,38.576206560152926,34.41947462605518,34.8281307443435,39.02650289737122,37.75132777376194,33.86222613970786,35.32650992512067,34.458088084271566,34.10614242214321,31.412504125945148,29.288647213601603,25.817733060976014,25.167202667128464,21.767977873346688,22.463581574995594,20.456624286812033,22.716878515761373,25.333478976340203,26.43600216236078,27.764009070208658,33.412849402321584,31.65857253737254,35.79984399783016,34.451374063063405,34.413089882349745,34.26237841407177,33.0178537747196,33.668302885129755,32.94259958276604,28.81401257779555,28.81200822983212,28.672912740329625,31.87036721917283,29.475630129753355,34.39234755294933,31.586477914330064,34.35540400910849,32.5049258630951,32.504581013063245,28.821616551188935,30.286734762115792,26.967132959369756,30.323784397643198,29.790058770341137,34.1328180720009,31.98630314819701,33.56297275673739,31.683231908712415,32.28639815449381,33.145115677358916,30.826412049369374,34.54035644494961,33.09640988696829,31.390358928722627,31.570243719101896,28.485419308569256,24.771903965534783,22.715427312012125,19.198984201160822,17.49888582090893,14.346206380526034,14.607053151360482,11.841082329436363,14.302586241143414,16.391530201033117,13.904248605861481,14.52231209507508,11.500155665061905,13.846782437263933,16.938462328997016,17.72729008539425,23.217006721578652,23.09768313790734,26.077645297958128,28.346803291575966,27.919911469624534,32.020626714596965,30.055973972104574,31.193523019296197,26.211282076373763,22.897172598972094,22.59037391116806,18.053777786297307,14.668717299534862,15.731188409279293,12.285195277059877,14.32856811348614,14.853075946358889,15.367567238905366,18.51312793524663,19.693827826950727,18.082251744894755,20.900446893682204,23.329738159930287,23.87141941227988,27.837610397512915,29.15191974336018,33.91239263806029,35.851136886510204,34.04555636893551,32.81002360540283,28.931833749185262,29.85510596984419,27.153835992844797,27.38650548997377,23.498488971751197,23.35394984565979,19.660983051608046,23.4202845380872,23.22105725736626,19.88358850291595,23.837091064595008,24.07628722346375,24.0639885564434,20.538957619319852,22.29909296946952,20.23894855253514,23.68050630150304,25.735315666319295,27.138902281912483,30.07088209354028,28.32511587060623,33.50560392796759,30.885968538630678,32.799201040347825,29.996011169901884,29.319181043674213,31.806456340939842,32.61367885555855,29.127222143477425,29.317916552846246,26.718663746625765,30.25730265031155,26.358220593268108,29.418093807412394,30.338763451222764,28.832467069695262,30.287100071144756,29.803386466742733,31.49145413859087,32.99213227086099,29.664759093044736,32.68146375274942,32.68046297205931,32.305670141250175,36.94424988764449,36.92416006000384,33.32967492528295,35.122554981615245,39.13587791312325,36.87539910644625,34.11489397524949,38.65122793196466,41.74165063619986,37.649959916401976,38.779346494988125,42.556761252864696,41.175444265595694,38.832083050734525,42.438389210286765,40.410563133222894,45.84806448184456,42.38438349449861,42.296674639223205,46.24254464494756,48.834853460164574,53.05697515939662,52.98736728786324,52.88642383220163,50.0143996889695,51.07036255338222,47.57922931884413,49.85159839073163,49.86138338429179,43.970750269943544,44.50789482218532,46.815586967886055,43.82308497134668,40.607134408954764,41.2638683865524,42.20580220522546,39.275804227056064,35.3415228003707,36.14506629617859,36.874880801414406,40.478227623750676,42.442588678828706,43.51972122754906,47.51156172104394,43.858339117055166,40.79099879754964,45.28149734658502,45.43207286563943,40.64613315428819,41.94771211003386,45.43969762945002,44.237111268973564,42.09765502445818,46.74551407606061,48.14595245207647,45.05327693125959,46.27060336200553,49.71464450720195,47.66944136251023,48.816795751367785,46.098477926575214,48.731014834469526,49.16892636329528,43.57652068116659,44.45344127486146,46.630536281402776,44.4648085490452,40.67629363041198,45.41358542444108,45.6402667977959,40.24396919777143,39.85120693991387,44.52996909947651,43.6113613326109,39.82268812060573,36.57755832415863,39.06426865690376,36.49034538794746,40.206661975400486,36.255004914111005,35.99029863322163,34.173763435028505,32.88890304678659,31.420073227335994,31.858393635108722,29.440659569427034,31.70147587104426,28.588777719518305,29.57463899251661,26.188835980433208,31.355663666842236,31.889814493755726,35.064471908682684,34.043912850834495,29.86252891387805,33.61196772385127,34.799875343717105,29.344377815899225,30.268926135427133,34.76432630288249,35.499771121900864,33.87827420438122,35.45742990887382,37.961730380295826],[35.10620909442805,32.737379621072066,30.240758365051608,25.61216772926389,24.700883749987632,25.48573600443994,23.35432323341729,26.41982026748012,24.44570370234741,21.36623351037783,23.065689895285807,26.98215312300496,23.295149617693287,20.182190333357255,23.689156909573597,24.865655239927804,20.9719249456756,22.417995209722385,20.761590263799537,23.891797269065624,24.724914767442563,27.710092870315208,26.995719124516917,25.049148970973086,24.026873605922397,20.822479105401865,21.19329561918987,19.852237901231895,22.881971231278005,25.520075322175106,27.68034625142232,29.876296540441146,33.322073247417215,34.57386841854451,32.07618304571785,28.504533646458235,29.712849628113826,26.73466515414182,25.59601690262073,30.423850898168105,25.782518811731205,26.044423687342857,30.050726796355082,29.618907742633684,29.815362471832536,28.935567893005533,32.619067735456355,32.65188734735038,29.658448488774482,33.835793903512126,36.58442146444984,37.32265219610077,39.581841481245775,35.14448574550089,39.27925162785917,40.531927997793105,36.42804200798295,36.65692470726025,40.787085299399266,39.629191546808165,35.665202305400015,36.902189513956124,35.87799883004189,35.57101397893755,33.08039498344363,30.911102339587583,27.24037772241306,26.444871552427017,22.896663669087996,23.279934102239846,21.20636194039847,23.22695448288542,25.976748233139247,27.351146609007493,28.720146753547468,34.37544091136373,32.92522137413279,36.9501308527159,35.813414492413216,35.979665764888985,35.85929407280502,34.82050475565623,35.357459428537815,34.82685786632133,30.8391932555854,30.632328315355405,30.454804030715877,33.38471527710433,30.952364726670336,35.566809329296674,32.63044895762406,35.19135001961592,33.213861211643255,33.144116393007685,29.446724173377618,30.62070945824175,27.28356152912348,30.89449138051409,30.369282244969515,34.60042822539232,32.86792293460647,34.506414358908714,32.93451444818659,33.5560998272566,34.71973368264863,32.32826437594656,36.00092058662631,34.64656959853652,32.78701901127737,32.88481779995999,29.677289674471517,26.245635285933247,23.939611854220058,20.846428403027193,19.006194468651078,16.33372244743497,16.61154270072032,14.525019856843791,16.2457981009333,17.90969777619702,15.325504271210953,15.784356454574967,13.38359474820412,15.43276287041854,18.124678046507814,19.412762110853777,24.401985861673023,24.643288477974416,27.626030526053487,30.04716049334253,29.62472740657948,33.69392432267857,31.947822791173756,33.038807520239445,28.21435933981692,24.924691188604235,24.52278718518761,20.30587685464082,17.174484909025843,18.31479728270891,15.448170816333949,17.345887881805837,17.580650992700214,17.979191958698262,20.92254651732005,21.721359169667025,20.14634554324015,22.55405888348537,24.848609217831115,24.99919761463755,28.831609250593157,29.75785105135911,34.531745127630046,36.02849189252905,34.345593999589205,33.43119046381659,29.731979159267453,30.86364927251757,28.357730576422494,28.84480718073778,25.362438285902858,25.270430905272214,22.003041438391538,25.647506070772113,25.560240155311117,22.475073881506813,26.181152188726738,26.434145830846834,26.289030787302014,22.919951561951045,24.565283666135503,22.615571681419375,25.89509331899134,27.81158210951088,29.05967968411532,31.768056214501595,29.888869851072947,35.05339000164306,32.70224723603018,34.58844467195497,32.03483614989266,31.168407462543755,33.78125787622546,34.6774679478478,31.28082619432097,31.565467096335002,29.012947489404343,32.57914590348797,28.845371444829034,31.780206744467947,32.6482911925275,31.122854001162807,32.460053498378045,31.882756321885456,33.44803207352273,34.79819440610024,31.4029328525387,34.28271894086088,34.081034715889906,33.65915327248091,38.135360314360966,38.02548544982853,34.42376642601038,36.11754012018865,40.02774505121826,37.64411471927887,34.85036739704323,39.324128577258,42.33366653266459,38.08486910218219,39.15644846751761,42.87962198001381,41.39164997233046,38.94614520239879,42.548878819646816,40.66349956519225,46.08347704106113,42.80385110828492,42.82755975532367,46.72470431267153,49.44419850642034,53.55857507522976,53.647932635812985,53.64372848171067,50.91279581254105,52.068169871691126,48.66645883774141,51.02645662296511,50.942359550413975,45.08767909616511,45.76765822093677,48.07492972055632,45.02106914809228,41.907895045183686,42.70725378825475,43.52114796565236,40.50574964893208,36.82552453487048,37.42952860518089,38.32300266514707,41.85951273515723,43.63849887398406,44.75866842634748,48.617959268953705,45.02109835212064,41.95633114314103,46.23219118847297,46.35161143178589,41.582394813556846,42.76876098509756,46.11169127492054,44.819170446197475,42.65995377385867,47.294631150278796,48.5652971288717,45.35332363393477,46.62361313271372,50.104848106439185,48.157915330408294,49.45327424250775,46.892540989949815,49.57194816514273,49.84042802865703,44.28715824888501,45.36041978738433,47.440005120619716,45.19017458666114,41.59841594224125,46.363306075742976,46.41383387276978,41.0554046598089,40.87296089326455,45.46616723808734,44.39279794062337,40.625665282147246,37.31707116516425,39.717854146526285,37.02009183827738,40.61645009353426,36.621988655383916,36.51094117037552,34.57851917723711,33.194886081678966,31.937934971821132,32.4878292058094,30.281951691482064,32.658438471219384,29.657100294891745,30.856652364448685,27.510787904363912,32.213061992507015,32.699504118170026,35.67289927304806,34.55566729279147,30.430192433687445,33.896822393797144,34.971847927359946,29.667800847874343,30.351895806719938,34.66141748518649,35.33095914221584,33.848379608611744,35.49236030869597,37.9413955967381]],"stdvs":[[1.4868544552984309,1.2174776694180582,1.5669150375423864,0.967526784912373,0.9611129538364501,0.8401313629961566,0.9986261867866397,1.1325118618382572,1.316247340281827,1.644208307255843,1.7835539604490387,1.7929054738099248,2.0015430078406147,1.9962278602926056,2.21710843907517,2.2558454452293106,2.36770732541045,2.5784550816609526,2.7489087121505125,2.7667644481246274,2.8074826915642928,2.7576776909352847,2.8429351021092475,2.8141391021403175,2.85220648311758,2.8015622334489185,2.780722514323307,2.6521794163745764,2.544535891503857,2.318208074690656,2.4835661141981182,2.196391761737639,2.2082838018283426,2.411569868738322,2.3710248521405077,2.5068544181817267,2.3314322070956495,2.6279871384447295,2.6282665058012262,2.5302695273016598,2.684220706597897,2.7761714149388457,2.8402711836849908,2.955911859525286,3.063048376896361,3.389910810563884,3.580384286440232,3.1739670592367295,3.25717082443754,3.4660285778279207,3.5361492400909906,4.207287101664035,3.4151286342647236,3.3197814701572304,2.5875878458586734,3.029140728818705,3.3804337173100203,2.8303891022688816,2.8545207071630725,3.5912812671654666,3.2009449844266213,2.9973858371555537,2.861744800867754,2.765458485821291,2.8027257367841916,2.761716443683873,2.8003166607229395,2.752024504412541,2.734372066579346,2.583504028280535,2.6942114570943745,2.8071540540652955,2.6640702430331435,2.8774360972219153,2.6959231566403012,2.784184316376425,2.754408873716968,2.6893128909766446,2.656822391414484,2.6489702438790053,2.4604998560602285,2.8061440221934753,2.203395335809926,2.078225944137644,2.3146610097589004,2.3486571646613017,2.537898846790376,2.3877220120718703,2.6211503848745243,2.530106193884512,2.6529574566103684,2.776788272402475,2.702712963362173,2.435679009413492,2.3289429516770657,2.2940538436863562,2.150299197592432,2.1009625378330807,1.9271892041874845,1.661585053756328,1.9217237274518215,1.5779696794608686,1.8630950918067894,1.484352865643285,1.688924035948327,1.2963167949680316,1.191516111519322,1.1331829037242356,1.1339022271757944,1.0473435702872012,1.010177734938808,1.1658897142870683,1.251567303503855,1.531203474666969,1.9852049763811084,2.1623351706286162,2.4450673357104327,2.6496531558790086,2.6475507592211933,2.5680272858502793,2.428640912083967,2.1924159480699363,2.0368731230752495,1.7773965269172352,1.4160395812726692,1.2745546576304716,0.9503108442910676,1.0348143030145351,1.058996119337828,1.1002892854299038,1.296571230900333,1.2166887405413336,1.0664364793320407,1.1286591352172974,1.1068824129748709,1.2711967235312498,1.3411595645520158,1.2659613836014694,1.6330412582633287,2.3958841933289463,2.517836309775468,2.9544541266805218,2.8878942094095823,2.7364012662457085,2.6391987347133963,2.4895344932579118,2.3472614118101145,2.0248424087750263,1.6720306185759695,1.5353826326987405,1.2507182235336471,1.3117478726289464,1.354591327675607,1.3744384908771488,1.5449964859049274,1.5043011738293548,1.6655371523798317,1.4781845231419106,1.8329700233942021,1.5662238203401202,1.8054282340801524,2.2700420433184867,2.4278950380908495,2.487206239610041,2.4938310464420295,2.449332486606033,1.8235210621797475,1.78850664527669,1.1083299760419074,1.3924954931663414,1.2788996166204822,1.9029149114553516,1.9146088685330367,1.9757117001129438,2.0400517957844517,1.8687551454093836,2.027528854049288,1.95025524125679,2.114786809233443,1.9211961108764306,2.3048237152965454,1.5561266253404946,1.4804342912281752,1.363349379815197,1.5422741874841228,2.0342540882619815,2.4623007587060006,2.340732421695497,2.8311337251286752,2.120432804387967,1.9406645602506334,1.7232381207335843,1.519509555704446,1.3403201400279747,1.4677351930199998,1.866736346709899,1.9391022415539014,1.9339710101250804,2.0792429504141094,1.7009907682339642,1.9279931854189556,1.5787749231279793,1.4194365917756004,1.8079033359020709,1.7476059120725316,1.4590994493657825,1.6647578178881015,1.763810365019219,1.567539198084582,1.4684229938100972,1.6292438166865104,1.630309060931661,1.493180360431368,1.5738082005968486,1.6492758500735833,1.7149010838421044,1.8196264941709461,2.2042667586290055,2.049912655442836,2.05790786406748,2.2186175870009732,2.7130481814350675,2.4316473620788885,2.291283211798909,2.1914443413672364,2.1420142351050173,2.0622582967917444,2.3352364365409843,2.3618588044305744,2.325898041718357,2.201691784636812,2.458851107651524,2.534064048861033,2.4210945737345226,2.837808504770964,2.790646252782037,2.5699177369186437,2.6072105776302266,2.223496240235429,1.8698358317978943,2.0215731641428385,1.9236931129328125,1.8235311605608069,1.8193801319677738,1.7595186203585085,1.7230172832354458,1.7269302407517704,1.6053518579046093,1.4534486060332286,1.4913975510552777,1.419097712805247,1.3224496376630726,1.3831925192003554,1.508657824179401,1.4060917160339528,1.468651105555077,1.5469883421100665,1.6073153293085336,1.7120030215604651,1.7517032964494104,1.7242057644487667,1.918471987986389,1.9527100135724413,1.8594908053137933,2.0277009978686555,2.210980701034611,2.1216602181604167,2.176271161249465,2.464169340226123,2.410178316641281,2.3128439839996644,2.4921055195798814,2.630714621675093,2.8020689583414624,2.7430112657057197,2.6195713474371685,3.230495683266756,2.9730141234014322,2.4875783904825024,1.9170925306805646,1.9073616100842363,1.6073367041106332,1.6954583290590974,1.681381733939587,1.9938942882318234,2.0063520330123437,2.5654512613603493,1.7782101962179084,1.6920595858335052,1.2175612514421958,1.3732761764117674,1.0946658979278558,1.1429363529483696,1.0168823176838364,0.9984657826863319,1.1993406050878426,0.9625504727000022,0.8700162827311453,0.9475736934139123,0.9789114736709886,0.8941229179382214,0.9432853156459328,1.5736788847857421,1.9976391686313812],[1.227355054906249,0.7914668316234366,1.2485122617235158,0.7116210615849011,0.7260539588931748,0.6801117297030227,0.7519047357419548,0.8326497764763967,0.8696358710105395,0.9977415517427286,1.0462085836216142,1.1002667410294817,1.159560010458541,1.113326120448211,1.2041336016157174,1.2192204004978564,1.266804859832228,1.3205840017837787,1.4064570872559414,1.374553815311555,1.3811747543743225,1.3236623934450917,1.4589186390979603,1.4632943903468159,1.4480932594690725,1.3830262150827481,1.355219293249382,1.3143026339468546,1.2994982753843394,1.2070385737597658,1.291828988651926,1.1532094951054754,1.1555364756021214,1.2323574913741064,1.1936500540379549,1.2508541770546533,1.1970938091213308,1.3338978454070105,1.3027131795139395,1.277531995853029,1.337982819579306,1.346057350053437,1.4228388409795962,1.588540610704373,1.8756888542848074,2.387229659851094,2.615268484635213,1.9446858829895015,2.084719399770634,2.5678544393144027,2.509105810867763,3.2152303065861196,2.314130039655154,2.234386292399557,1.877592986230306,1.738399211260558,2.0615259610328405,1.7346915749709544,1.6676992602691354,2.310314699221637,1.7907520028324702,1.5895021864579872,1.4795877386093914,1.3705991223304426,1.4066469725183783,1.3727784228436322,1.4019076615246633,1.3909077828642311,1.4314142601598547,1.3608323865118845,1.5196796545720728,1.6891706614611923,1.4317761587206725,1.599267287075142,1.3925888199695802,1.4668284903950748,1.3980369904139271,1.3533738590273003,1.3274603432233627,1.3489053335437584,1.2293741408247667,1.526466824957255,1.227212159562633,1.2612848683076987,1.2800907399446024,1.1986793532127888,1.247056119366343,1.2263429866703364,1.3037405787857441,1.2860024318978835,1.3643251074219467,1.5144835597565858,1.4555209952504207,1.2709784134057829,1.2285231324683532,1.2435890783921693,1.2223294571208145,1.1516837658624304,1.090915797415462,0.9822070392407664,1.0972795102717077,1.0238115270171755,1.0866446433474946,1.013815210141831,1.1971633248242497,1.0326164418002128,0.9748880059653369,0.9170829111795805,0.8982975920567378,0.8547217890206352,0.8545214570983445,0.8979793802399689,0.9004561274838508,1.0078672362606789,1.160223118959214,1.2175515002585484,1.266514342049903,1.6431584107673867,1.3129027439751089,1.3090850938349994,1.274097611334147,1.1753149976172215,1.1169585644710294,1.0397957572040395,0.9281550492244341,0.926460300695632,0.8238922695950034,0.8702472119039502,0.8793536254857477,0.8259120210373965,0.9043218389844648,0.8112956543592368,0.7057149747835506,0.7438204563235893,0.7441336075907384,0.9145814612389835,0.8918243958388619,1.0742946198744,1.0722390746790218,1.388145880862585,1.252174113504715,1.520492799734444,1.4006254590726224,1.3616776005843438,1.2851752147920916,1.2738302801398693,1.2463730531969344,1.1592524938599822,1.03794550405405,1.0100459737686371,0.90804426078208,0.9119166678434849,1.0223336811610957,1.075251632872521,1.0743820122585497,0.9743568025539979,1.0382151472465506,0.9835952746162087,1.0872977760312545,1.0294844131854524,1.1104652236445545,1.2271696711036044,1.280189452056576,1.3053613966627335,1.422513035045953,1.3536490261854641,1.2451374576733731,1.581461392559426,1.198534400607535,1.3393650406957223,0.938124267964621,1.2037535781874076,1.104040030207453,1.1319969231983396,1.1359270839560107,1.0771500208256555,1.1246019541352026,1.1007315808680007,1.1763711800818852,1.0824202371319107,1.464368999481179,0.9830215657651907,0.924730752341132,0.8504666804382808,0.908354828151227,1.1202545760538303,1.3081962306374049,1.4094403390682195,2.0337073236814813,1.4416671449858418,1.5312365580247826,1.1627705115091345,1.2697468778022454,1.0584714853282198,0.9140368923170281,1.1345943386999833,1.1032786973437334,1.2413218695414663,1.332168530294726,1.2365312303771947,1.2973773025180249,1.1358033384313655,1.0003291054486116,1.1369356861505613,1.1193445427635995,0.9769146885322026,1.0135958926778927,1.0499540571010617,1.001765167736322,0.9809016771651098,1.0159776077089209,1.011670956388431,1.0338085747216703,1.0720842286504293,1.0671212993441934,1.0283639978281165,1.1555872939889402,1.2747943859512343,1.178199860899769,1.2146547185463112,1.2246977425564547,2.024841947275859,1.4769057122349663,1.5069645745660336,1.3724284861223497,1.3398252109498503,1.3873803754611507,1.5855281154832361,1.497627076046179,1.4999085740363562,1.4360830193631042,1.6329776408216274,1.5799459170725687,1.5222643670040983,2.012043075546145,1.752121876343031,1.526973449716013,1.6966727180171026,1.3717439205413187,1.273932593338259,1.3884534681913228,1.337748170482467,1.412969840107378,1.4390858656610575,1.511723630080245,1.3640849694353057,1.3144106287220254,1.3271796052768274,1.1975578163997007,1.0658749271589971,1.0521282530815455,1.0083518419900332,0.9833615039639991,1.0367207876556157,0.9951434859367421,1.1228945953653668,1.0282695986907027,1.0335035264756764,1.0683266889765213,1.1189931564185966,1.1358961723097096,1.216635488538686,1.2062004522925236,1.1444024821689542,1.2834572207993995,1.3472161395084146,1.2637318896132756,1.3261779269824816,1.4928614096723565,1.37836220243092,1.3563342405683314,1.4594270437829946,1.5270458249702938,1.6712038030391225,1.6304839026401967,1.5886039857937384,2.2293750359298192,2.1058552156041235,1.501932262607297,1.1453838659266025,1.1218672956776854,1.0711347277068146,1.2845751021689205,1.1007801499271708,1.1658706234030178,1.2765267226489527,1.8064051403345882,1.2694512424338689,1.1620606626880907,0.9460764693277949,1.0471419243437756,0.9357693056658145,0.9586676908962989,0.8728720062034759,0.8779205238051373,1.0184466375543766,0.8382118104979993,0.7116687749029181,0.7408706495265072,0.8119617136753501,0.7248282316212149,0.7938625075014988,1.5085750349463398,1.883157036012534],[1.3788398174804484,0.9578311118460043,1.0975431672401343,0.7899844088835208,0.7510791467965271,0.6405481746064695,0.5623198027996156,0.5620116622637782,0.5565867725936761,0.5328487921060086,0.547011424918421,0.557744000002643,0.5463894582225519,0.5977235490838062,0.6487643682388334,0.575443348524677,0.6299554271741497,0.676581236285946,0.7840347790865585,0.7476600338953521,0.7847454948146246,0.7229298314412326,0.9293671276048581,0.9907385347429069,0.9433394796730855,0.8059950061894674,0.7034595870696316,0.6418695825550785,0.632257824085598,0.5395439981763975,0.6156022980796171,0.5266148537088563,0.5766313261436159,0.5977946328804105,0.5655632886380304,0.6051663475100256,0.527116780016471,0.6152057867727209,0.6076320449509705,0.7170956626174488,0.7887429234681226,0.6984541071132022,0.7942051955343719,1.0707473561580905,1.5051044666682398,2.147721987139648,2.4065604488262653,1.5720366747192238,1.7480009146237416,2.364124722714294,2.196852626332558,2.9562634396108827,1.9841634585354662,1.8950219684571201,1.7386176485280942,1.327005063621393,1.7825578167352871,1.3527936794514428,1.1613704251110784,1.94036224936017,1.2702490795266483,1.0354541424939705,0.8162067719952721,0.7938489226575595,0.8137055513627766,0.7683640677328459,0.8490537918579708,0.7485509893162424,0.8968188495228109,0.8157638273956535,1.0222899648979566,1.195424250540911,0.9289195701996017,1.1804004125572032,0.753350788775771,0.8789680424650773,0.7651977653986843,0.6900633833300841,0.6691506996698108,0.7282838930343738,0.5667949583363758,0.918256917269801,0.7271226134041351,0.7048653838869684,0.7307024930211878,0.5325765881541937,0.5712233104261107,0.630790204265499,0.6296370471189368,0.6464286347315661,0.646619192110436,0.7217532261031956,0.6922143591837738,0.6134964506860576,0.6077920633069138,0.6447258087091733,0.7142630784979459,0.6027068379575349,0.5387138918167109,0.5501322162864869,0.5160222991978533,0.6276706776585222,0.45171824349556283,0.5206661465727306,0.6690671429249416,0.6510867981592302,0.6653810140617636,0.7132020679935496,0.6685635923777495,0.572542643277838,0.6200685383325605,0.5033104035501829,0.49700572658886244,0.432648892658078,0.5795940756512276,0.6285975627973543,0.6818852874639542,1.462021626363789,0.8252827487486036,0.7216691144543419,0.7728098018366295,0.6872281600604057,0.7173295046716697,0.6093300215944905,0.5289365394611231,0.4343508986464886,0.7005012468510242,0.6038892184377253,0.5870947921682645,0.5429417217810298,0.6230936796037828,0.6225526868449095,0.6538582622711698,0.5202614586728752,0.5745884310358562,0.6786294983787661,0.6290383439448792,0.5658700874780714,0.67870012638975,0.7554524791859362,0.8588589792105016,0.9845107854032322,0.7607611386870854,0.6633717284342607,0.5860326136542866,0.5369691939038826,0.5265000888976538,0.48426816423716385,0.43586172966325015,0.4749245048311724,0.518696047854155,0.5386083190831998,0.7528921782435232,0.9173853670401149,0.7285454656934125,0.5285577239435834,0.4756753456398941,0.49927748131818817,0.4732296697381794,0.45791796941432156,0.5202530615112079,0.5223876253405952,0.5662435970338505,0.6501382465140274,0.9257700430747158,0.945942845910275,1.0954449769224042,1.6092064471177654,1.4798286648918928,1.4325879827698524,0.9209193390996828,0.8634906702914399,0.6784101714085585,0.6207263616397827,0.5277781314986882,0.48177061495180834,0.47923817238324734,0.48816829976258114,0.5524414308058203,0.5440471560251554,1.0540099786425015,0.5550209214317615,0.6336401885615431,0.6427931184307911,0.6235441353349971,0.7466844742090607,0.8614618616512008,1.1037518850272319,1.8436341487228038,1.299691282257873,1.4913577100986701,1.0362415323045602,1.2737291274527802,1.1227384907064517,0.9229682450077692,1.0782077473776381,0.842453222104106,0.9240867617961748,1.0158606796274534,0.9489456260859546,0.9968759553910786,0.886085925769213,0.8471407707497264,0.9629207815537635,0.9485960018674148,0.9438794648822736,1.0423119117951176,1.043777354899978,0.9855275213476011,1.093822001578494,1.1119118324360695,1.0914767005493877,1.1688698407377973,1.2473315504934779,1.192570123076737,1.1414634090759965,1.1968032525807157,1.118342094897299,1.0551908820545326,1.0972818175555654,0.9810471058864005,1.8947836118163266,1.304701469690005,1.3163756053549411,1.1983835194173285,1.0651198591041677,1.0931425868738338,1.229505543108523,1.1240097181027717,1.1383267033368196,1.0966706235748027,1.3186466961975956,1.23104903915713,1.1439681780577746,1.576818374845726,1.3924650449819491,1.2235269377882347,1.3469253263271976,1.079557413984691,0.9188183690221124,1.0168640295455051,1.0255642282993092,1.0691755269606562,1.0811364027542922,1.207076384984738,1.055573510456028,1.0079875418594346,1.057876413760475,1.0192291288793405,0.9259832276961744,0.946703704088995,0.962869393610237,0.9641393887081251,0.9801026630664816,0.9761421257908611,1.1776974291713629,1.0706322850056227,1.0202938184319075,1.0057182838074794,0.9728010977522704,0.9574222820068381,1.0298717285767853,1.025214350193682,1.0051648433444844,1.0330880128460664,1.0897080080253396,1.0680740990879949,1.0702472125977074,1.150041205092839,1.1640575602268597,1.1657245477810085,1.1527917973345703,1.2260379895335909,1.3340921779366897,1.2982854419842078,1.3702199961477877,2.0648057826782384,2.069108574470075,1.2778320361372069,1.2114890254866189,1.0973224028528412,1.2056786560182597,1.4715110702021605,1.2254436985784787,1.1720480905836415,1.2849932912849928,1.590488873943273,1.1577789592669487,0.9457908660209619,0.8116268253842787,1.141988197953346,0.8802324731225759,0.9291935120466464,0.7836786389446382,0.8287806102701253,1.0227480648994076,0.8061228567077052,0.6262452014255213,0.7330374376860916,0.8176964980505732,0.7084929682123855,0.8328568835271675,1.4983760742768,1.7468058314964965],[1.3220736454974211,0.8936527253132835,0.8382658413323937,0.7349382493372015,0.544164220544497,0.45865645036476355,0.382814436532574,0.37657707177486016,0.3861756005778458,0.3508168561840103,0.3553228010562788,0.4184842659658886,0.4085044972859488,0.38685459533322764,0.43439020212003177,0.4468443541578331,0.4726181576407704,0.490780223703231,0.5970747844334499,0.5444429464252978,0.5914300174486725,0.7573059952922866,0.779962008223107,0.8181015503944832,0.7140840693538676,0.6865582028405188,0.5711117004746881,0.5397999448642649,0.5338636631057764,0.4483275311752947,0.44323842476233216,0.459876979335703,0.5143190765682866,0.4771238083472005,0.4854174714382523,0.4911643455127447,0.47134523773441644,0.5212229986941955,0.4445137916488357,0.43499959812234323,0.5753176673370282,0.5626265025907418,0.470896579222989,0.5393267780571865,0.8307599069300604,1.3869286922314337,1.4343160191951576,0.8381432280241958,1.1490763637981887,1.4946001059581495,1.3656876353274097,2.1251129441967658,1.3308910778983867,1.3612897499745633,1.8651087311509476,0.9001484253864223,1.2426210634759158,1.2776846340995736,1.2551301001813566,1.3922658800635332,0.7512982070170879,0.6571126620358829,0.5245733739853325,0.6460149100301084,0.6835676730978962,0.5888474890910925,0.6654265426438465,0.5299553117049758,0.6242843568413792,0.6022413127869353,0.7923847795711624,0.9374874603178194,0.694876857329129,0.8702831644454261,0.562819477345743,0.7686484897638439,0.5318291701782079,0.46817471543593575,0.4828858131169352,0.5769903784058332,0.52554408185173,0.7400306399889551,0.642149755239601,0.6338637387622423,0.6486401561276366,0.4523276460846664,0.530080474429052,0.5729172403929654,0.4681220317906789,0.5681101386182322,0.4747692048112799,0.5748114756898459,0.4883549539011548,0.4568411741997744,0.45457068123048877,0.4997516840999462,0.573461477532976,0.47750622435130113,0.41739652493211243,0.44327832859937044,0.4194767683606572,0.4999886756800323,0.38872743127495507,0.4347823899101078,0.5309484408212745,0.4825514546627563,0.45705444083088936,0.4895156784594615,0.3552501752551574,0.3920793357959953,0.38122173591841724,0.3502079554168709,0.3245999251856151,0.36601042572205206,0.4034118701703504,0.4605204201989514,0.5670994388735544,1.0423417533215953,0.6273708148746617,0.5242205294620456,0.5049920875557672,0.4579921920851928,0.4703917316590863,0.38241195098445196,0.347098009252341,0.33162440980216035,0.49351590638295234,0.404442520719516,0.3253269897957089,0.4136298960649019,0.3269133523422922,0.350292462419933,0.4586684184242513,0.3939843070621376,0.4532402395726612,0.6165418698106988,0.585254015887207,0.42087688384313365,0.3467520118824149,0.37364291277115913,0.5352661120700672,0.5715027402285344,0.5041966463031684,0.506592963790823,0.5586712359998794,0.48260122650402953,0.49491174398993265,0.4779699523406902,0.39406496066267427,0.35751230303893167,0.3423556329310854,0.3981304380881649,0.6157442778530978,0.8358558637303729,0.6213137579773934,0.39774648491723297,0.3564986654365984,0.3664032988331112,0.39638615264251426,0.37201609953405723,0.40466389693095944,0.4179894452369332,0.4165663689341907,0.37788652582859356,0.4815859701924076,0.5089982941032251,0.5831473624245621,0.9242129173636172,1.0124896853275065,0.9618922975906986,0.602541210417096,0.5090988639527864,0.4386516930020218,0.4151606810681079,0.37259807649674026,0.39307031037671186,0.44764240144431,0.464608565494169,0.4131783142040184,0.4324298186429665,0.7876278007915686,0.4335607680281502,0.4475801356207609,0.44761519154869206,0.43532940164762585,0.4635140832445221,0.48122315979916974,0.6777651760730945,1.3433200287772924,0.8468718925504588,0.9951941344503294,0.6539772149876032,0.9459309608959894,0.8637978227847284,0.6230329788303318,0.7791692448813489,0.5673776693755146,0.47270975319860603,0.4469739728521221,0.4213077195228611,0.39257722214059776,0.41880556412025693,0.45331476120999925,0.46093478266298965,0.49847229297426315,0.6788968802882283,0.8084610993405281,0.7164810764902557,0.7183419073893921,0.9074112489096652,0.8574460719009993,0.845814397226035,0.9805523414263201,1.0535748045439104,1.0487145492148604,0.9719649927063255,0.9503885376189898,0.6721207889070557,0.6265844941448849,0.6597940704723951,0.5968450218590668,1.333502297891088,0.9670646776755334,1.0983793208260857,0.8241589865243845,0.5765803944279784,0.5621918199159188,0.7325025118754135,0.5623016491925641,0.566808021093998,0.6013196068817735,0.7135543931052445,0.6658142243667569,0.5387923570780337,1.1592100322999273,0.8009704621494221,0.7234597526598397,0.8626549270638981,0.496067375696551,0.4613404119346146,0.4931759903723012,0.4834416262693743,0.689973051636555,0.754585081909958,0.9379453854325935,0.6404844336338857,0.5849011950027301,0.7648307733704367,0.7333067692540146,0.6096856277050146,0.6980888619840538,0.7980207025497894,0.7615516921031996,0.7461753006334308,0.7802372937748479,1.039127659607483,0.8269262207917607,0.7528016873459417,0.7062016362561607,0.6249569214564236,0.6018630341314798,0.6623717362007783,0.5677597187883483,0.5926277037089087,0.4984311382018864,0.5281041805881099,0.5816980227717083,0.5431398688066988,0.5861861087234459,0.712664117613324,0.7026422775415749,0.6525318354291971,0.7843441790138611,0.8085374884751904,0.7843067036593143,0.7931928188465173,1.4251448200454528,1.6098922847846746,0.8172779064638335,0.878257343754677,0.7228764531112722,0.9077815461675031,1.2653483083341508,0.9908717813548202,0.7526355857728817,0.7621715314738918,0.7792744497387538,0.48176479232720026,0.3474410957353342,0.2853991633826915,1.073206989254502,0.38270126183787684,0.365121702859519,0.5178981539190747,0.42008164291472494,0.464982875491608,0.40033181407355345,0.40697932238340156,0.7201489775053447,0.6576431132605967,0.4800491452332349,0.6345099153618666,1.33390952306751,1.758799729133802],[1.7997654848069753,1.433282002786405,0.8368049554032172,0.7612190816130779,0.5144444471716225,0.5792781949687316,0.467811216413606,0.4592395953815672,0.4961965495460251,0.41531024744276684,0.42359343587669407,0.514865001635606,0.4321734732015287,0.42920592308793665,0.4801804365853433,0.4527162289676581,0.4925828852206649,0.5064327656928761,0.596153289272112,0.5920818306499182,0.6517557496187417,0.8124493452793745,0.8435365200111516,0.8843840631347976,0.8034118767049964,0.7232856392495128,0.6056393069471161,0.555123964809374,0.5194797203314969,0.455104639981084,0.4607422207406685,0.45570346380146876,0.5096963360416993,0.47387621361963705,0.48876397422505435,0.4966439956953156,0.48556674824747986,0.5423003947805193,0.4959885072197733,0.5840623744818236,0.7739434874969241,0.6559881849149459,0.6432089970238298,0.749253915537573,1.1429075171879355,1.7757015283702107,1.8727140217011753,1.126709948452467,1.430166857525461,1.844355285722678,1.611284365440622,2.4582825866458133,1.5714359540102916,1.5501161888912236,1.8447100038898392,1.015130155786268,1.4231029509553736,1.329640927835854,1.2831792085251954,1.3962162179076318,0.9216806998142243,0.7613841228016267,0.5814871303242576,0.6579809933654609,0.7023559879793889,0.6429007937548977,0.7493229981618434,0.5642882449398189,0.672374362576376,0.5852789319671727,0.8833761549390389,1.0100779108385987,0.7007222069646787,0.946792227155112,0.593464500274298,0.8307057057123843,0.5760591221061937,0.521165470556645,0.5134216467637323,0.5770291897954586,0.5232520910644776,0.772881523196137,0.6711111548307919,0.5820928288956636,0.6753823296737109,0.5003141177357169,0.5397793269756972,0.5639990219060487,0.49932260966003683,0.5550606341014352,0.49308605598648375,0.5676271969746403,0.5213150233221664,0.46821895327154955,0.47374060690682246,0.5342654021973555,0.599790162362886,0.5312626779270799,0.48394185311919685,0.5003644786335888,0.43660363844514727,0.5841168777667959,0.4221209556011592,0.4503787527147407,0.6000909498826534,0.48201676112749986,0.5129637985826755,0.5441617245900336,0.49128185192112533,0.5779323307131895,0.49714571073211966,0.3934984436390214,0.3815834405602346,0.3598051862585581,0.4266276286483144,0.49167638296754956,0.5683060052482144,1.029464771538574,0.6566131784974791,0.5631127914315927,0.5648355557719301,0.5403661160722922,0.5817971115329177,0.444239820536316,0.34485835717743374,0.356805690738534,0.5098438010862413,0.4492602298384631,0.41837089876227357,0.47990009962619445,0.4462526582785184,0.45598675677379025,0.5734025541826449,0.5154303513236282,0.5909539378331385,0.7903844907954014,0.7596492587019722,0.6612052042167569,0.450990081713562,0.47121720216627855,0.576026139225711,0.6871719792067998,0.5562629809188102,0.5346744114519976,0.5434373193054483,0.4768297721610216,0.47041488292361633,0.4397295217397914,0.3671630889686516,0.4001581037800544,0.43963253027330684,0.48191056357943884,0.6755218674884526,1.0346584935172096,0.8189020915270971,0.4719586123630062,0.42006798568119136,0.43988051792959315,0.39459897706951746,0.3933124772873746,0.4792534903781958,0.44087610668904587,0.44867110676964206,0.5059313303651138,0.6895442668349109,0.6401449043040911,0.8436887187271871,1.2412758451771804,1.2933323877159264,1.2241237677293675,0.8391948476102045,0.7713303841382039,0.6525489699301288,0.5777201412407369,0.4811242418255123,0.43343193307681777,0.46371284642448185,0.5052828273101296,0.4886071057847767,0.5000556794642623,0.8819557514099187,0.5220253970259631,0.5575821776549172,0.5585434585929026,0.5461267453165272,0.5985379669342622,0.6637058925874536,0.8082526250074085,1.4705792928725223,1.0197790224404468,1.178037987558688,0.859558668854126,1.1011325539504022,1.0069756882245589,0.7527705424588786,0.9266330170818267,0.7064933266622734,0.5885783650690966,0.6227550324619378,0.576488501213263,0.5823572558090993,0.5813749991410151,0.6033347087145399,0.6599508387723592,0.7147046016430262,0.862086135449123,0.9658279416864256,0.9033891166241429,0.9475339732410811,1.1299388493154927,1.0666028881403493,1.0848134993701468,1.2414853533821562,1.2943342502879103,1.286841941039214,1.202414969003639,1.1653392808917769,0.8604114550795963,0.8466387715307748,0.8908558332174507,0.885389623083112,1.4085084385009996,1.1804323054133965,1.2157782856318335,0.983485026557006,0.7616308497984777,0.6697229465262745,0.8157428566673857,0.7762100116786234,0.7057301559857219,0.7899075485074168,0.9113353973010896,0.9111213117567237,0.762674246529054,1.1610592397444341,1.103050109624525,0.9824333318167396,1.0285116721056071,0.717866564208987,0.5992499765343879,0.6079757839338279,0.6224044707242964,0.727452874014586,0.7694228743577629,0.8844357414394143,0.680681657353148,0.7305913679330878,0.8267839789738419,0.8358128098416898,0.8081249330455414,0.9210910174709533,1.042103020486949,1.0187392599571146,0.9998915170102496,1.0623847648033082,1.2824327023992155,1.102462108833418,1.0400346785450514,0.958404175330423,0.8586586227090973,0.8179720121279247,0.8710359360172075,0.805445116166943,0.8189145703973749,0.722584189147675,0.7557280941511327,0.7989763563195805,0.7506974720266139,0.7952485001695685,0.945822770930608,0.9041539423036861,0.888392925373879,0.9631802996326112,1.0736958827307794,1.0434372661281757,1.0901128611113016,1.616376791131894,1.7739432719225352,0.9917536989803402,0.970793075445116,0.8693548187761835,1.1219541512257019,1.3160399038538586,0.9183696193933749,0.9428288199361136,1.2982358491682664,1.1186590829442338,0.6853183373749392,0.560861816869227,0.4795792073097658,1.02180317117887,0.5795859078886316,0.6630687514933531,0.6711466074070296,0.557494444039582,0.6976273983657957,0.6167100472404794,0.5838338342656744,0.7115048588081552,0.8056783691443167,0.6736182248432424,0.7187988217820297,1.1073781237280458,1.424557462573928],[1.4612521427093006,1.2089644551167384,0.7366860719821173,0.5946689898650909,0.5358756301383574,0.43109369594672287,0.3663602588785406,0.3762186646183761,0.3949089880292866,0.3650500143677905,0.37405202137442745,0.4297498400175277,0.3888985240080977,0.3708540959334929,0.45675701353612963,0.4261619405705293,0.45654981532622824,0.44806978955724963,0.5106304783778257,0.500660779014699,0.5414467070204348,0.7254705645926214,0.7254348663364236,0.7553105609958732,0.6609560138386712,0.6035810716068264,0.49543100700357884,0.4666603400817653,0.4801437295683666,0.44135596602461497,0.45144691265999276,0.4370360487492355,0.48675684798242497,0.4753475713759354,0.4788595517728607,0.4892859587015866,0.443371132582137,0.47320969414458686,0.4248698564873119,0.47850497175833856,0.6205539511770429,0.5485134784725394,0.539536588504344,0.6857410539394307,1.1252632670908769,1.80767936783659,1.8480418792107538,1.0277019467058681,1.3851682585338208,1.747220652620488,1.4055276525069187,2.5653642166943347,1.5636704724587052,1.5085585486793154,1.7167364826758353,0.9090498675995615,1.442132992361261,1.2365077303172836,1.1766069104509607,1.4274819985332363,0.853737801196377,0.6638531359670449,0.5169636836306706,0.6131382964899731,0.6075752328139185,0.5658323693702195,0.6597573935957437,0.5054525430961034,0.5937639878913511,0.5617745128442722,0.8054309665512116,0.9678808752934969,0.6914124829022711,0.8793254340384571,0.5577927561654101,0.8111364091044813,0.5404271505339893,0.4950287212931773,0.49683520866233105,0.5863654743278004,0.47941685346549034,0.663001177193072,0.7145318907749196,0.5847711823378464,0.7075348644336149,0.45173542927850524,0.48168523540452474,0.5365407741900536,0.4754608472347506,0.5412418624427899,0.4889471142015528,0.594496991196254,0.5471098876376852,0.4694776336755912,0.4625312323607542,0.5479388110394859,0.6278692509439974,0.507394048278751,0.444033456396998,0.4345278334035471,0.4229122465799818,0.5167415317971308,0.3992208755047547,0.41929633501780417,0.47635136635921044,0.46815112682686266,0.4884370478942684,0.5202877961207877,0.4387709257639089,0.5293227900748436,0.37449954156336307,0.35877740450242485,0.3580269954152347,0.34620236869346244,0.375150758896709,0.4201870517451238,0.4703312907087726,0.9265801436232578,0.5209475566595764,0.4503732741941355,0.4636046687234192,0.4762386936813076,0.4427541039234591,0.33393806108453655,0.26602681316524085,0.2795336768917657,0.3540879800395919,0.3651770681640193,0.39550653526482016,0.46847487234665963,0.4490597050056503,0.46203630420350356,0.5471561674955159,0.49281008102324814,0.5635808125751243,0.6890642251551806,0.5728048182403148,0.47339357834054535,0.5139498789045813,0.5450731624073969,0.6159170783414072,0.6022452796927622,0.4457836887697381,0.40970106084252605,0.4347037798790473,0.41616728875265774,0.396140713110596,0.41630683772961397,0.3537353152957768,0.3839032557189913,0.3577435276700998,0.3921609426077941,0.5622416726881978,0.8551172229467466,0.7691603443841681,0.38946907863159763,0.3505548707739655,0.3717703117776841,0.3517085799002249,0.3578016556605988,0.514480507315951,0.38254725507071796,0.3514554743001239,0.4088293232700721,0.5539263988389077,0.6588831594672437,0.7430438222391307,1.130545403689872,1.1013034076879877,1.0987977263911526,0.7426597954189749,0.692126056491438,0.548331191424255,0.47202814257388354,0.3898087377573576,0.3927965521594006,0.43752163348577394,0.45508278452371353,0.42925545876598314,0.43298837562968706,0.8224723744612983,0.4452817349284861,0.5125040112601791,0.5065681579561943,0.5202782653582251,0.5636210228332904,0.5871886245927993,0.7706623023982282,1.4812084148251707,0.9945598101909562,1.1948348776886037,0.8467891571932402,1.0848426521968577,0.9404258849994651,0.6899759366119252,0.8286078272615439,0.6559827944564542,0.6008507207347987,0.5940216794825203,0.5845601639067061,0.53551036788707,0.5512763852107431,0.526892902104968,0.5594928140499549,0.6109857038714192,0.7723132314860298,0.8530228821467231,0.764438012236283,0.8314407202761624,0.9982575888349761,0.931690279176823,0.9578278438675722,1.1251283236873872,1.175303087318053,1.1533103515033085,1.0162622869893625,1.075017719171821,0.7285160287671328,0.6882740144555577,0.7255155904803614,0.6555571637516544,1.3243514723804295,0.9859868357861747,1.227674037578146,0.8646748646178545,0.6867017913114494,0.7399966280180871,0.8875000921837589,0.6850720593861207,0.6995065774892862,0.7373879754345618,0.7609259368577419,0.7398487373587731,0.6704037338129331,1.2793951522618907,0.9268643567111347,0.8209322531178915,0.9695514034836238,0.627452622058337,0.5891472542493993,0.620653190662732,0.6297692458538151,0.8320575211750116,0.9080019487021225,1.0801225943072021,0.7791398922378594,0.7300589393369249,0.9477527482606368,0.8846098866288564,0.7635779797353122,0.8938164949592672,1.022535653030535,0.9392076085864395,0.9045565891515398,0.9962093880426419,1.225652964947903,0.9896962241813061,0.921930518810502,0.8382102523711897,0.7498652666248036,0.7161954543679984,0.7112270830134586,0.6731101741547869,0.6751150914970717,0.5942675727805942,0.6153185499353854,0.6623085616219576,0.6300514668262743,0.6861504744218498,0.7917906991515307,0.757569039514247,0.75317804711962,0.8408779915129885,0.9493351593009118,0.9317813306204968,0.9189147323737743,1.5246449254513719,1.6385406266868245,0.8560367670112012,0.8143326035435444,0.7250488867836732,0.8853938027872068,1.0903495968510653,0.7620420782465694,0.8021988309061927,1.1608853106562989,1.093000234271061,0.7175748282987664,0.5274631979902185,0.5148056731763507,1.0017643435586867,0.49200082189748845,0.5012633603070875,0.6250071251441804,0.5040675686561694,0.5959357493381617,0.4726828080678873,0.4025287974320695,0.5592883737619946,0.56111735767159,0.5249650712850824,0.6362366940269047,1.4467745170364343,1.6994765666001477],[1.4244091430158932,1.239932093291237,0.5884762748559409,0.45985593882197645,0.47940000973427155,0.3727345428180639,0.30703133711865177,0.2988372526517984,0.33779972004562964,0.26521052656643224,0.27872480493733587,0.3657394529405257,0.2727495127001158,0.2635739691990916,0.35012698837478023,0.2799975485528235,0.3210989345123515,0.29671075129540514,0.3478060615798036,0.3481734869202956,0.3749571806799909,0.580207762341302,0.6007831148008658,0.6349266018477059,0.5186994869257577,0.45565869002024595,0.34358008902716314,0.28253383729841414,0.3113167934582644,0.285079407965152,0.325684673415236,0.3050856488317765,0.37182860398531953,0.34579993499308764,0.3015248891633519,0.31055333474091307,0.3002840935488463,0.3344738214684503,0.2875749189604207,0.36997934821937145,0.601435716427368,0.3991394569212221,0.4081922671049572,0.5938338083420494,1.11062895941218,1.8071276037542885,1.7971578689056054,0.8830359035370371,1.2694975591427453,1.5489038609415646,1.142454168673623,2.4276300720067514,1.4406890670483032,1.3224033672852795,1.5755527189809433,0.7741488973382117,1.4330074264525245,1.062736738966693,1.1390315115409844,1.3262922822461995,0.800287519639566,0.5693263747630686,0.42268702567499483,0.5195871409722798,0.4590763573709244,0.42194219141823386,0.5674975954467926,0.38978117304510257,0.5243690957425566,0.46761736315993485,0.7437457107524691,0.9006804522662158,0.6337099572099404,0.7611612784173936,0.4458740684161402,0.8144701777794653,0.4050730270066615,0.369404729432724,0.3613893760937409,0.44335192565492615,0.326359046553578,0.5671799845608505,0.7328446233731875,0.38870725715799215,0.5988317958638771,0.31365994541936953,0.3213254786228563,0.4066551192315908,0.3168705697837062,0.42030593260544513,0.35988949650467594,0.5294893755491524,0.46663604334654707,0.357567698935327,0.35195614528914704,0.47529920013370097,0.5503121091617038,0.41741013513564873,0.354432170858199,0.39947167995724103,0.3278463492531446,0.48331908234781484,0.2984165973747742,0.32625791192055836,0.47199640891249284,0.37386753900174885,0.3979837799008963,0.40317187630035856,0.3371268482216206,0.5184014646748739,0.30331417351942414,0.2553474338617253,0.23532528772191066,0.21596444304143972,0.2068567148261322,0.22913475153092705,0.2742108763411763,0.8924935738015968,0.3657998654958309,0.3083587817667697,0.31053360488420706,0.2852142787400447,0.23166008131640103,0.15859591911735688,0.14878249346487732,0.23853595454576554,0.2490440917004454,0.28385457759662625,0.2729010840255374,0.3907056380237129,0.33243232137672496,0.3331459003293821,0.46152751794061025,0.44850700951805406,0.5135454464321036,0.6632859458181566,0.5259676020543256,0.5243478884843321,0.6600478967931052,0.6171715461973994,0.7470965502270858,0.6546566647073832,0.3968170650877956,0.3280188735360318,0.30838376914908505,0.2865005058733096,0.2544989399540936,0.26967380348912695,0.20624003298480093,0.2853726061813133,0.2942408633864373,0.347710951593896,0.507591952021734,0.9410627441847017,0.824587608192891,0.34063489277421394,0.269421184596837,0.2884962068239845,0.25599673071454865,0.2614338812313991,0.4398369024214493,0.26952580825655026,0.33455109571373387,0.3319261403394642,0.4977535528821995,0.696099904860729,0.7191341109538063,1.1158128553954367,1.109994758509233,1.1292496886930878,0.7549076194818535,0.7258171714090547,0.5189635943976204,0.4540597350090601,0.31229998186958186,0.294852442613619,0.3305393308419874,0.43103153497109925,0.33941855464667886,0.33947406025284044,0.852579700608309,0.36141054713582943,0.4474938385907534,0.4315275658924932,0.45071892039382977,0.5243926987949876,0.5299209650462856,0.7251661854681176,1.4598499402247407,0.9275937245505802,1.134573217472814,0.7807672559049642,1.0272691747968548,0.896710201104994,0.6174209454933085,0.7372004652362714,0.6179019142939487,0.4581897935719152,0.45596264930723013,0.4464702015952349,0.37623904345875603,0.4763863964104591,0.42851747083578556,0.44299752389845515,0.5616120902583603,0.7595221877988482,0.8025760497830591,0.7108067414930448,0.8699538150459103,0.9949649202255177,0.8905007181982413,0.9624942601231814,1.1782722667085492,1.176228672749566,1.126494652857966,0.9313741489639487,1.101391025017294,0.6286424438759222,0.6223796754176046,0.7063880530528017,0.607702763872123,1.3028732804895724,0.9423617952358938,1.289675944331335,0.8691801038479812,0.6678045202139601,0.6878464164212952,0.7502359898409163,0.5961680799804265,0.5471369500564929,0.6196425339673303,0.6344993928474537,0.6701681247693378,0.5055700746917156,1.0973462031075971,0.8052922535495801,0.7286922927101687,0.8364779726983,0.48217363515690087,0.4755708880206644,0.501007550788533,0.5680214910696272,0.8036802403286057,0.8993018471739669,1.0739541245650912,0.7632289207300662,0.7681089637510837,1.0353209352207513,0.95694272563146,0.8536054115848317,1.044820864789302,1.1864764663367966,1.0539026589944314,1.0169025257194537,1.1491533775637797,1.345797760070936,1.0759308523677948,1.0185972895959001,0.89486662416159,0.8135549709648048,0.7583368525215056,0.7067143816391097,0.6822654727513383,0.6611969753462842,0.5227600731499401,0.5458500044870281,0.6089268116806582,0.5310315385052309,0.5588750764627224,0.7332173176469267,0.6813377252699298,0.6592538607393578,0.7252219137896818,0.8858628901445502,0.8686468098432744,0.9107199619585721,1.4182772805525155,1.6111004232141364,0.7549268757305915,0.6641244335485433,0.5842521594653859,0.7057680635065341,0.8474479116631466,0.6230140760070986,0.8602414286423565,1.3627554652416496,1.043202678645012,0.6603353493513117,0.41046134905314263,0.4353698837637287,0.8888702293072981,0.4336588624273869,0.4712687434629409,0.7550411139374686,0.4762307641601163,0.5914569908641679,0.42477778224362545,0.33800347008672404,0.4996079443793407,0.5114257435179039,0.5086769920127885,0.6037018922851495,1.378766043254109,1.621968684035299],[1.6371119215758372,1.4802285725340079,0.5466105766512716,0.5281038532397813,0.4668051016754515,0.38852852784032776,0.3214459763234843,0.278009051750052,0.27715916288435755,0.22108437889435686,0.2565424442599943,0.33791270924170314,0.2612816939044352,0.25598783810396125,0.36743263669573206,0.27498017253846835,0.33935535829343816,0.3485385408226999,0.4434443737928312,0.41779774945077314,0.48381000196070983,0.6813876276874054,0.7284909475859954,0.7921967896859805,0.6064759081856395,0.5703177021682987,0.45434290937367083,0.3649836331129311,0.3436844198106149,0.31307493686267224,0.37199508382353697,0.3168425736770596,0.40260509538061245,0.3927628406257923,0.31210013551713506,0.3617615855340364,0.31410296481111144,0.3899005508569085,0.37359224041582095,0.41575459711272966,0.5989159461003408,0.5070043552469937,0.5243739813160286,0.7328242132952957,1.3090661227928904,2.026595966328063,2.038342522780393,1.0377183158184091,1.389328684790053,1.6976460753246696,1.1888292448314073,2.623697961195532,1.5797835969520129,1.3825104890049131,1.525098524607827,0.8095918245150555,1.4645983456536145,1.0618524124252287,1.1041402729045025,1.3762965596739734,0.8217479833065652,0.5972417673438655,0.49487087167624916,0.6435664683003338,0.5181730252645154,0.4840457933811464,0.5998413407590429,0.4670254985892357,0.6121493712002068,0.5357509889361888,0.7455090910361747,0.9382013852490911,0.6794249027730307,0.8421244623076815,0.5070042742662072,0.9361624588272174,0.47633668962322245,0.4359381307706015,0.4277120143017987,0.49430648937692034,0.3999877289125667,0.5686175340619223,0.7900135446068298,0.4473689717003527,0.691195916195362,0.35186457630770457,0.38863746203041466,0.4390820734535976,0.3790469325643898,0.4767018861931024,0.4242632191871599,0.6225270186301948,0.5415810498113691,0.42037566227389034,0.3964524470224649,0.5311822332852114,0.5854556967409237,0.43966298222139466,0.3730080222195669,0.4612080889457982,0.3642211293358435,0.4969104931018737,0.35138006364325075,0.3539677324948431,0.469171558308269,0.3965591076441684,0.41838821040314567,0.4186448226940314,0.36802484921957557,0.5554043551864445,0.33916655310498944,0.30345744222229604,0.27795876535068165,0.29240005127147356,0.26423581269985413,0.3306687131994602,0.35522786558612535,0.7473505069802946,0.5014909036550828,0.3781033512446659,0.3716637802276993,0.34170074015115,0.4411625192086035,0.2681314147707691,0.2363871595779761,0.2976369382140333,0.2975637137349645,0.32130962914907013,0.32164727294000883,0.41295019776743747,0.3859267423051561,0.3796027320948856,0.5003928763919653,0.47494279699288633,0.5325310700719429,0.6346291032002328,0.5118694117248502,0.4838910838304077,0.6102069415066214,0.7641721239516966,0.9424994502674268,0.8157498305502471,0.5087886336702684,0.43581216075102003,0.40077268126558385,0.35548809060317343,0.32255312438074196,0.3081314140716006,0.2752182002709571,0.3419626040031259,0.33428029308727325,0.3909482573086017,0.5127287196482869,1.0614351955620618,0.9136691473012832,0.38474070765918367,0.31563768658688873,0.31390557499658206,0.28246138231022616,0.3090177317872062,0.49550604699039275,0.3160779621153141,0.4154664303408585,0.3901847468303549,0.4958138209926767,0.742273138970124,0.7130077165865417,1.140129637902577,1.0821232128720613,1.0819979918541704,0.7408632294575221,0.7110774351292418,0.525880676015626,0.4512932159423501,0.3438335623941613,0.31382163651401435,0.35001544102160254,0.45608790837638225,0.36492961591219375,0.3335925095237552,0.8549147260135288,0.3708419459722806,0.4742231961841615,0.4702665440366312,0.5012069796183959,0.5784704719682834,0.5491272024443535,0.7595425584126988,1.4968137950406046,0.9873862647185182,1.1963578947779971,0.843290614466187,1.0538404691979777,0.8965232084394442,0.66187262130979,0.8003613160234594,0.6307490853314109,0.5175298865217589,0.5045616711077376,0.48653149262730755,0.41766664678727927,0.5162068416049048,0.46893441449886736,0.49908865414146475,0.6302345064525218,0.832620045465638,0.8922340593871044,0.8090748193894574,0.9810499147188549,1.1184792370577898,1.0315900542755079,1.1193717532170535,1.3453490818059417,1.357741484936504,1.3255343728149767,1.0945155713304562,1.265953279445031,0.7493251449973497,0.734524894308094,0.8362940476197562,0.7101984230800956,1.2885718345444765,1.0127020226506804,1.3410994763060833,0.9098824086275844,0.7045926895679117,0.7234133764327427,0.7894941712430593,0.6272823008566801,0.5808820644367452,0.6450668881777553,0.6774241931439383,0.7014341523932273,0.5570024845361731,1.1511218325939292,0.8875013018925197,0.7917906107806002,0.886522867911422,0.5274517502405381,0.512389115259955,0.5299370057027487,0.5970161408844691,0.8425021242596208,0.9392284061851252,1.11583393496343,0.7953409991517103,0.823954214755837,1.096404898789421,1.0009451464874828,0.9268756832713255,1.1528851618558698,1.3072637069449762,1.1723599204959603,1.1428344561819008,1.3033031624239122,1.5004622904230778,1.2287713839574597,1.1719486063633393,1.0311903493296388,0.9258318517796799,0.8411897414581938,0.7721183891399659,0.7812852714243004,0.7526892262332552,0.5800227786655848,0.6101310530534138,0.6785825737130237,0.5821314455431573,0.6115293773885072,0.7944711177212603,0.7272445197801947,0.7064357166568164,0.7680090277149426,0.9090927458993472,0.8858794367352406,0.9172728145707537,1.438079626544594,1.5694840204671414,0.828990888179023,0.7722610446453974,0.6940776116182961,0.8399275880032945,0.9331642014421639,0.6604361599402342,0.8794596752372361,1.3673837971212048,1.0455992377321128,0.6533242101319829,0.44838928136727724,0.46160310443918356,0.9213336769921519,0.4240849202655156,0.45843287013546946,0.8734314804983219,0.4562987163626931,0.5607631099879511,0.40975599686555425,0.33731520762228373,0.5174441570886241,0.5149950110729369,0.510156574362419,0.5908657146420456,1.3807319264060527,1.7944518744216493],[1.3687623466303502,1.2171818423574385,0.5513810649362734,0.47839677595155017,0.5111513721490413,0.3862072715212938,0.3890002952699482,0.2904052190383823,0.2016503189785216,0.18168757399364033,0.2038155919189578,0.29370896669765245,0.2241372256170277,0.20550342661694254,0.31401860181962044,0.23116147898772307,0.30093904261478527,0.3072454569219685,0.36158197762720395,0.36181470468524396,0.40055678610180306,0.6184109642635923,0.6092951844504002,0.6395574866030576,0.505814129469546,0.47720666736743433,0.386425071335843,0.3026937230646987,0.3064404810770435,0.29229916689154156,0.3144248120869779,0.285755214148664,0.3674116556307509,0.339306391440079,0.27781987109883644,0.3141605182315027,0.29104866253521555,0.32303923420509933,0.32394036313679675,0.3638822178807184,0.5974337806154776,0.4150715653300033,0.4319876770417368,0.569886130309658,1.0870645098305844,1.7668251147518492,1.6550017331830809,0.7788134283492573,1.202303723712554,1.3363612056217473,0.8581981792923583,2.3576756025906414,1.3952229487585146,1.2314303626744294,1.5419646256959032,0.7334732966997491,1.4469009906129269,1.0143984951710305,1.1829515877283663,1.2076638680098548,0.749883262915172,0.5388593042063015,0.43608781678729364,0.5946248762347282,0.44231951685579024,0.43309048181480375,0.6015567601238678,0.40707887131248366,0.5518928738168148,0.45999003161889696,0.7391664173504728,0.8889985375498751,0.6386290030611336,0.7528864240945184,0.4499728644608164,0.8772637661633371,0.40014383978947143,0.3688166617880714,0.36992345547403616,0.4611391050206691,0.383310170050113,0.49683768478510393,0.8529630764971875,0.4065601349149476,0.6580053256367934,0.3284706430525032,0.334955208386833,0.4102023824661494,0.3329867146258954,0.43836213776979127,0.3620760379850343,0.5467550727536756,0.4688352786682876,0.34705864563815525,0.3300925403096117,0.4687687303720651,0.5309099596713416,0.3931213707619472,0.3350782224210585,0.4383814358061151,0.35176501841506136,0.4903527942516179,0.3572400678275582,0.3809592698691133,0.45929321509832804,0.40980602186862647,0.439210754400171,0.43819468121087946,0.39519113136510553,0.6012203522000392,0.3558000759465815,0.34666040989300034,0.3264742388367319,0.3191750823625945,0.28081228873899705,0.3269922187026278,0.31367060743788805,0.7579743214014877,0.39046769716185026,0.366477689350242,0.322026258080519,0.2715241879482111,0.3945133295898823,0.2474825313330648,0.2773215788349336,0.3050359520225959,0.34269006969758964,0.347412751055177,0.37706333106014206,0.4382252203190161,0.38745610387107954,0.39328372922252386,0.46645176152105855,0.49803483658814907,0.5042668448890841,0.5531853303393465,0.4463462680301435,0.43610223344207366,0.5897754977537328,0.627701496221345,0.8078143521456214,0.6616952985209585,0.43389569661811533,0.3634871403533529,0.3134297639493036,0.3103479532762451,0.27758160917320424,0.3092919225803965,0.3056102243441868,0.3543781287571591,0.3614637205297876,0.3989448565045089,0.48948859647414356,1.0309719131343271,0.9147277903783599,0.379258990843909,0.31732287533430814,0.33414410552034596,0.2852528372013713,0.32967218600703335,0.5218965234933014,0.3177937467712749,0.36765611275393445,0.35245141615335984,0.45164838534849666,0.6466957610983465,0.5863350750366597,0.9098574707719405,0.8876338329232567,0.9295436011221504,0.6305010052254464,0.61570429683992,0.47550112436508096,0.41815253136547503,0.3331019411830489,0.3464762511879884,0.3534427693399947,0.4948202109106494,0.3640103320846823,0.3536767997998196,0.7497960018125996,0.37710560764117895,0.4434667075945494,0.4333710510148578,0.47399364441405695,0.5285659343272331,0.4974548046084937,0.6602159164224356,1.3740992880843437,0.8556737412437467,1.0502151492924579,0.7819620627479129,0.9639463577325478,0.805651950881297,0.5626026369176935,0.6425787830971356,0.6065909803682795,0.48327647157485654,0.4735814664064351,0.5010187541500931,0.4207847817838577,0.5231402830289412,0.4492248013097593,0.44672447288353245,0.567040113972383,0.7251766205762303,0.7772661342968237,0.676097726982814,0.8370865824918201,0.9086439976671781,0.8366543231158842,0.9178381681483774,1.103131948880366,1.1467893390747301,1.0793690102961777,0.8817866839765862,1.1179305964581148,0.6356011893551605,0.6129854008725167,0.6948992789133562,0.5822628095495846,1.415286074866954,0.9240767853726173,1.3529912184338866,0.8757276509043254,0.6982593530390275,0.7512276912439506,0.8340853167191826,0.5831669072168572,0.5568079671867757,0.6433634174069113,0.6186502716241689,0.6410906925651565,0.49051074490371493,1.1281938721050182,0.7360909267661311,0.6997256109142114,0.8244500671417229,0.47257999742527695,0.5042578689144204,0.552999079905618,0.6267536339729137,0.9132832656403308,1.0198302151473775,1.1890358633015419,0.8297293042247684,0.8324874890932032,1.1483967601851928,0.9940885293623654,0.8729934350333114,1.0862473590080748,1.2126313148778527,1.039411070225703,1.0267833050553472,1.1743021174383592,1.330997171701749,1.0516509373569862,1.020288449598519,0.8952114618546216,0.8252667379288976,0.7655987813417746,0.7111942108985041,0.6903069010552946,0.6444597789571768,0.5216663794991997,0.5298488949382751,0.5905477525972688,0.5155266908844877,0.5298890884012386,0.70502685814035,0.6842392096817845,0.6326200775575174,0.7169882242386173,0.8745075614944011,0.8737695400834075,0.9135474337201086,1.3926881182199953,1.5873441625577935,0.7561078445219657,0.6805357729853494,0.5814619697231949,0.6074841504333809,0.8057946777703853,0.6701200068751136,0.8960711003245486,1.3752128391506264,1.0125938582898606,0.7167141589681367,0.4369833184270762,0.47445356945276473,0.788385111339341,0.4387393873996298,0.4619188383851824,0.9347958550325667,0.5047320261713409,0.5413824762690937,0.4657806026545024,0.36948000206395254,0.48634530082965927,0.46626196388436747,0.5973183873906723,0.5968181627857889,1.5276944152640712,2.0186827394888534],[1.3422371368085575,1.185357051378078,0.4511935095050619,0.46225085626579476,0.44146233556748504,0.30883499480122284,0.27701544121883775,0.2030316723302465,0.1758968701953925,0.12640712573937724,0.19583205008963747,0.2945880388283086,0.20646806219108013,0.18180001023143566,0.2811275831751681,0.24218441914885758,0.30115358612625565,0.3291317781235876,0.3744586017008501,0.35321415459175276,0.3809751277547464,0.5939125890102985,0.5790997503504747,0.6121811995526563,0.4651974717941678,0.4582987288386106,0.36533591814015615,0.3023930303038635,0.2956429319192807,0.29442625619673307,0.33211469534478705,0.30978505850975274,0.3782773570549857,0.3166934097879487,0.28354868301908676,0.30161494414099294,0.2931426047355676,0.3010521648510962,0.28709009734256163,0.3319768258273217,0.6286196370616354,0.38537737983474357,0.40179516786892444,0.46472302326548476,0.9200971571833819,1.5709146318656806,1.3971717372816472,0.6228851855027911,1.0822606391116705,1.104243336765944,0.6715048949129062,2.032559653229197,1.1788391311890851,1.0411974572963438,1.5842336612091084,0.6876942312935304,1.3926875843105624,0.942132094716137,1.2959580967914803,1.0627519222232518,0.6680345952945808,0.493055753966,0.3947504816131667,0.5817956020713482,0.4057822488107386,0.40177834445723265,0.6103396698057365,0.41416109066446916,0.5606587582165334,0.452127867927474,0.7579966180404737,0.9506690500369657,0.6728061107492656,0.722063831253923,0.42747409556870586,0.8702559858989952,0.3732987019764181,0.3580878328105279,0.3607975415132507,0.43266660330506546,0.39837013833955676,0.44110684171042064,0.8962865938160527,0.40602496346005396,0.5839345357641973,0.3082625411525842,0.319093354788473,0.40014947549625723,0.3230513489085621,0.46367118962550385,0.34582066501317377,0.5437388543845516,0.4416282434859531,0.32666542360177325,0.32059728410623994,0.4316710147458011,0.4712503904292768,0.34729400262761034,0.3175930790302088,0.47930049791003154,0.326061156831737,0.52426029361011,0.3321660490475093,0.36300716534065475,0.4491993534854189,0.3881034529048196,0.4546748700715943,0.36116546484091444,0.32509595606974234,0.5888719535856728,0.3002889858057329,0.25981625178957907,0.22019079150162196,0.2941031641429204,0.27883135353923566,0.31478793208378814,0.2995014250610534,0.7446506152337049,0.38436337914336716,0.3996778516657141,0.3474347535400733,0.301160510361898,0.38162760971614845,0.28429175757101166,0.2574508982256377,0.26854140053971914,0.30191095970015647,0.299665060956719,0.27549473005631614,0.3584444305602349,0.3187189411658325,0.31243300697248644,0.40090879320431516,0.4628398911658484,0.47849138105840416,0.5464909915107646,0.48445774439672035,0.5045730805001489,0.655191458252839,0.5352973260312045,0.7555300464506355,0.6043801739159087,0.41040609911725756,0.3352618964992041,0.27692060461299134,0.27773274664163944,0.2396265562497563,0.289963986845916,0.2571797683736756,0.2963248614769086,0.3154959675862574,0.4026074968575038,0.51413360761379,1.1934303084177773,0.9837764916742,0.3955290380536199,0.30289271004097146,0.3172795220767216,0.2615752889657774,0.3069506012457134,0.44709689336652003,0.2755101750313289,0.31578908347317647,0.3034250320529846,0.4494786164040678,0.6178095259076094,0.5646803377171861,0.8572753502870644,0.908514065309421,0.9581662127182047,0.6423365617461043,0.6256319648227554,0.4514279469933912,0.3910940349605811,0.2764517579477287,0.32573255482899677,0.3100364672529681,0.5400222064515007,0.3180821346428107,0.3693966541446029,0.6687226477318567,0.3376797535585011,0.3806702736206797,0.35007133091857634,0.39553604424025124,0.4576259558847458,0.43494856559266865,0.6083180042483306,1.2988583321723424,0.7656389420448789,0.9668966171054473,0.6947134771326767,0.8924053522983971,0.7645487830658388,0.5067857705528012,0.562969345556747,0.6588220392665552,0.3761070348569963,0.37823357516961664,0.3840370350665067,0.37316427739123204,0.5348979286602185,0.4152652933452623,0.443413391181673,0.6330973742673435,0.7742906971233563,0.8164038342091756,0.7135316238509232,0.9348166716074845,0.9256426810971753,0.8459635956431402,0.9616483701693476,1.146578822562783,1.1672708378572636,1.0750239253384783,0.8674228928657749,1.1868065298406767,0.6499719382707161,0.6438504476130524,0.7660438534876006,0.6721349524719168,1.5266532948453664,1.0001622962839758,1.5030192850781772,0.9877375437675389,0.8507738784815213,0.8564266999064157,0.8633898933911293,0.6257505099100201,0.5457343659375574,0.6775311658316125,0.5437034898226136,0.628637708657494,0.4355713128533688,1.0402088383725363,0.6072519670898698,0.6274699969413852,0.72975639781205,0.3839446784152226,0.4585800229890267,0.537843790331743,0.679845421871552,0.9472302224263021,1.0843527820131822,1.2394235461090268,0.8871132146344817,0.9579993591550926,1.2739446433700188,1.0984618607160912,1.0151241401726854,1.2674683856548834,1.3908071133947741,1.1773430641224072,1.1844760567259116,1.3554880310124502,1.4596767004442253,1.1794050286151143,1.1805117995650198,1.02775465213741,0.9837795686207715,0.9118185345816927,0.8585242151302412,0.8252267171656228,0.7331976590471995,0.6121999949822858,0.5998361795111049,0.6387878615190641,0.5278588598735525,0.5199751105855946,0.723431513252213,0.6738711445752118,0.5778557204074771,0.6578815418332337,0.7932269748882791,0.8118223341822898,0.9124546292302271,1.251328980340527,1.5698560911708705,0.7667675011787164,0.706170181657928,0.5711579272083992,0.5296109687522295,0.8134809606883343,0.7542739918498717,0.9836317443037805,1.4566341953970823,0.901255987660947,0.6687129889786884,0.3605778501945865,0.3982107500381911,0.7157595695692277,0.3672850461355933,0.3905793489161539,1.0876611085196481,0.43384187098438676,0.47245353804582507,0.45323767612139615,0.31758835499311056,0.4615259564971118,0.4687233566300893,0.6234486273619764,0.5543011520526496,1.4531029493017154,2.096757473422945],[1.3652384124409167,1.1765438567447755,0.4553858539889189,0.46652248086039466,0.44488775024546773,0.30489875276920236,0.2939722917793128,0.23726678878680868,0.1996588493436701,0.20688040730111285,0.15415789229152782,0.3122231385704385,0.19775695198559448,0.20667110192883942,0.30710263228066226,0.26005438922251395,0.35566626064139034,0.40126216611704124,0.4763829845719008,0.4117444615023175,0.4755781486499212,0.6656460309013839,0.6843669267341703,0.7076465623571695,0.5315880918141279,0.545866531377081,0.46376495290829783,0.40078698733198675,0.34990032742163757,0.33331916843925563,0.38141171317832095,0.34510633364879456,0.41124050264734163,0.3603186092762297,0.31386693924822606,0.33803300574268536,0.3232071276025444,0.3615582461192888,0.3618992331032355,0.3800210289213051,0.6461934113065018,0.4675643313385259,0.4818812266492066,0.5174562765226307,0.9365058649348632,1.5469011955142138,1.3406844566393037,0.6443118589250503,1.080746011918029,1.0092026229497792,0.6332805739126763,1.9994297242178223,1.1902055401533664,1.0173749921836366,1.5750914509847356,0.706058718681853,1.4117806655367349,0.9248797082406655,1.3233584693375369,1.020152521729511,0.6593515275280081,0.5140304083096606,0.44482248410380976,0.6753423332031566,0.4622483288477797,0.4511659973526617,0.6662376010313817,0.4781863695436507,0.644618072410791,0.5204040205148789,0.823064777446816,1.0465875283013548,0.7287677875464568,0.7763187062665844,0.47250050431832724,0.9381061004525872,0.42074495668917355,0.39726618001393416,0.40608074449619236,0.460284879325673,0.4562217691146459,0.4358301559238537,0.9814879968294775,0.44763127143326853,0.6327137215422912,0.35368905517139226,0.3682192159625293,0.423259766407704,0.37010206971221343,0.5109913233427169,0.3923210781597517,0.5855800773292654,0.4723272301102622,0.35919905411765657,0.34956885862359216,0.4599919998747198,0.47820223256160516,0.36061541741943487,0.33683224938479084,0.5529056946564165,0.34618776810265656,0.5117084752383794,0.37780155744403404,0.38479720589661165,0.4517791416743632,0.3848664629623325,0.4651635748114329,0.3694148428827298,0.33561727252192963,0.595297441169089,0.30734175228173705,0.27759446348059336,0.24729358325179954,0.30863040432186284,0.32582671561887694,0.3612254257450133,0.3825459804577144,0.666045911274229,0.4840521462376048,0.5097744954828856,0.46210788058711677,0.4155146007852903,0.464470704378831,0.32140977473536925,0.2609752601046132,0.2811369536755447,0.322099967038146,0.313419179950817,0.29568298315928904,0.3734161325792723,0.33585728612237264,0.3394761279493909,0.40534732714112776,0.4888433546360463,0.4693934525194296,0.49750867108164637,0.44626617760726006,0.4587297318619898,0.6094551125301823,0.5499164211749628,0.8073157926809804,0.6616250085650391,0.4952184724871124,0.4156435217187386,0.34944373451891825,0.33618919972074646,0.30595970325985006,0.3301886926663957,0.2947859024478295,0.302048015252645,0.3310497002374927,0.42419289430884916,0.5420437686260773,1.3354858881078526,1.0846090674190527,0.44309827991630324,0.3490873146623,0.34521505628181476,0.3090565035880641,0.33970779550199964,0.4713074233895702,0.34257763841606514,0.37245411132256273,0.37135799305283396,0.4660355157692428,0.6269875559543209,0.525520523272705,0.7851166671103174,0.8175485305027314,0.8822817918940644,0.588120802978157,0.5763598895251523,0.4346086791124338,0.3991809640420507,0.32037481804303714,0.34820267385118675,0.3431216843452101,0.6025179160459655,0.36038607674812817,0.4014061102931949,0.6392331972567677,0.3509982549078653,0.40140974811381575,0.36622142171576194,0.414383481721989,0.47295249541972384,0.4541510897217102,0.6071683479796468,1.2711812599626222,0.7332605668273369,0.9413827791725636,0.7013226208191818,0.8652410558670863,0.7335215430205463,0.5039990576743287,0.5521726817410194,0.6569854177206886,0.3865164129857767,0.3770357415474455,0.3926717716034705,0.383663644378073,0.5500122922901256,0.4210083913519808,0.43860531179686923,0.6382539150878018,0.767092458130284,0.8141846236583938,0.70918970315978,0.938093645921774,0.9093975808087914,0.8432132681310697,0.9626516583934299,1.136343953492289,1.1885391539920553,1.083122681926397,0.8724329995795894,1.2189562328241381,0.6578236608021761,0.648843292503551,0.7826805801175803,0.6896408720174855,1.6096590530824963,1.0126687828131937,1.513733968255274,0.9862937617269116,0.8697219099949478,0.877430220267135,0.8986058888894009,0.6279585802768655,0.5440997309879926,0.6932688925309736,0.5669405687039444,0.6257570816072199,0.43897068830220803,1.0577974813088307,0.5788494557880237,0.6134864408479503,0.7059801224319661,0.38251840013533794,0.4787114889672249,0.5659111844425271,0.7066323406013258,0.9796100580715388,1.1370305448605438,1.2675523915049762,0.8998565367818225,0.9928690378618891,1.3175697249967957,1.105709628562828,1.035104826187222,1.3027375754957902,1.4165332155523243,1.1870479404333887,1.2150916198728074,1.3939363021399331,1.4636237904866998,1.1992878861089247,1.216221092459679,1.0462904753373257,1.011569557825873,0.93496458681014,0.8810296946289269,0.8467932634330928,0.7385374090926112,0.6227777142749278,0.6048366731391357,0.6394937287326286,0.5230107679391357,0.512200993662961,0.7080813281403407,0.6643976574734387,0.5670582365179722,0.648269259853208,0.7728730575288665,0.796576087674944,0.8978774453838236,1.2403304009313334,1.5641118294055127,0.7687600990818422,0.7116108502183622,0.5723999320424842,0.5239083068219451,0.8218340240442072,0.7607802340676175,0.9798292693275066,1.4399126131677262,0.8883877131434608,0.686200195598483,0.3662899038611661,0.4108108207359354,0.6960458305495206,0.373016631633501,0.3973025994121478,1.1536307070732241,0.4327801746081446,0.4461406553527519,0.49171430561295837,0.34292864802554895,0.47101741076057496,0.5088461494201929,0.691286572574572,0.5881775325930747,1.5095184273340554,2.414346885748788],[1.5397451367601498,1.3806371075531896,0.4503989878845438,0.5236843706110546,0.5065455178052274,0.41172266724781753,0.37837178746161454,0.30005861283839325,0.2803802525571648,0.2901831826019724,0.2997136773698381,0.4383211487598995,0.28985728521431403,0.27465528698649255,0.36219493398392694,0.31789013557795665,0.4111118262343651,0.45746516367732737,0.5705841555508926,0.49819248691669277,0.5941470535254231,0.7603400995277027,0.8220646502301554,0.8987076259951098,0.6666848228646353,0.6690729889182088,0.5758815147424976,0.4831161336173693,0.41877458634720716,0.37755183069435144,0.4532618368759658,0.4146400898942381,0.5267830524490608,0.5053831095559475,0.3789662619587405,0.3941857784255408,0.3574329512400978,0.44109771798904673,0.4666543726816294,0.4829969755199853,0.679757904542789,0.5835011921086714,0.6135408833748351,0.6890719977927909,1.212277688856903,1.8497389467057068,1.696270505879935,0.8176600764875863,1.2189655448327992,1.2578022663748165,0.7618230864999894,2.295894960189291,1.3735406463868993,1.1527819436684184,1.5126388839861236,0.7334653845186514,1.4570328914327186,0.9536744698535525,1.238150821829963,1.1305621762881484,0.7347886009984773,0.5613670316075156,0.5289939013624954,0.7851730073856512,0.5593830563881519,0.5252492523171749,0.7338176322027474,0.5576149568493092,0.7358825246950219,0.5686646621694229,0.8419972361177086,1.0975861852126831,0.7381636962851253,0.8834069210940856,0.545652887400024,1.0828548348379257,0.5190091616743737,0.517102598795876,0.49944705318572347,0.5303554368551123,0.49852195905617613,0.5002523300902674,0.9736734114607601,0.47127395181241444,0.7253706849765545,0.4138265416960054,0.44900436794982307,0.4561440053030767,0.4422059315437324,0.5817802588697771,0.5065427948701386,0.703166049427918,0.6056070559977417,0.5224254540036277,0.4789087145143179,0.6150625414454363,0.5944132408958762,0.4951724286301027,0.45347901408301367,0.6274906286695937,0.4364208220691447,0.5383686100446605,0.4432546119109983,0.4160885231021393,0.4807266266533579,0.437791380820433,0.5014773556612239,0.42500128074664384,0.3859124977237145,0.6058438505261088,0.3612227047482597,0.37362586929724034,0.3405957248881195,0.4034823791902093,0.4129791330448619,0.478850182515562,0.48972610451289894,0.6631758350906536,0.6367549475281189,0.5913705006775507,0.5753908701998874,0.5375431266156664,0.6143703341991748,0.44335378640847195,0.3810774357431996,0.4104089613808584,0.39068826141074997,0.3874692148720537,0.39676239305828515,0.44248313528289196,0.4442899554305524,0.4267337800207356,0.49211176714578325,0.5268576601223126,0.545201930873946,0.5703394796558289,0.5476496554255376,0.5300720293161046,0.6480660881453543,0.6938435579172169,0.9580261210377565,0.8279371655286921,0.619491120209545,0.5538321914454805,0.4705664300685405,0.44030318453576034,0.4230471893443455,0.39088118835008445,0.36319775060722587,0.3679768652860046,0.3853641643973455,0.4648265179283061,0.5551591730814266,1.3894777095378863,1.119138576228656,0.4914601612046634,0.4142828497810093,0.39207796342478496,0.3687969080457421,0.39242302935413265,0.5655262584603309,0.4180973052228062,0.4688624288111393,0.47086907232846903,0.5513977098242792,0.697675651047658,0.603872501426833,0.902142129365754,0.8931551208790518,0.932854451800807,0.6569118908430794,0.6355729764022058,0.508944342028705,0.46178611127236124,0.4042609072918234,0.3997421163201106,0.40740781204891663,0.6292036325035699,0.4303955483097424,0.4242675750626276,0.7010203747246994,0.42441269526527425,0.4913152062328255,0.45762978439500274,0.5032429731971748,0.57979325059172,0.5683676773583496,0.6773627407921956,1.341529885452692,0.8291389915770365,1.0268893017734189,0.8014501259809803,0.993238925286634,0.8397702081576529,0.5988769074287796,0.6382593767509059,0.6716192109701653,0.5148678368962515,0.5019404550608879,0.4949925445631412,0.4292088013309219,0.5496487120885065,0.44798948991147486,0.4904410404066539,0.655030839286232,0.8002721530069674,0.8712303402047473,0.7645557488547241,0.9780427200984113,0.9962202040962137,0.9350670127559007,1.0527291806377144,1.2433409684591528,1.2833760364721412,1.213212129069864,0.9726466612024647,1.2922982858154528,0.7403730933507628,0.7345518716378726,0.8471804426843477,0.7345195406933256,1.5039955131158074,1.0098877300178803,1.509019628478209,0.9866356392159439,0.8180964428962884,0.8410078368443356,0.8674182871186804,0.6259678411593436,0.5622296534271055,0.6960153953610313,0.6192742373148639,0.6382213212482457,0.5033854656222341,1.1553587709194717,0.7333175647201712,0.7369121081508977,0.8340868816243256,0.4950152645487656,0.5192795490717702,0.5822218799213164,0.6939175567781248,0.9783986181699179,1.1413568302115826,1.2831996459274937,0.908124698196312,0.9901328535069888,1.3176530919608482,1.1177587027287468,1.0193299716926396,1.296707176108608,1.4255029636609786,1.213977816135134,1.2309565596706846,1.4283476616858415,1.5290957867799078,1.2582225917467293,1.2593647480603187,1.0850620109651208,1.0218401432869544,0.9170987478878031,0.842706140678529,0.8579558002651242,0.7650125715203627,0.6367271871630863,0.6400360351277814,0.6882979238996478,0.5880908100440104,0.592686572517673,0.8070736294222896,0.7636315317702763,0.6715481743438934,0.7440546866480281,0.8958862644364858,0.9011747911217003,0.9820310426655059,1.3624203768812748,1.5955361685212268,0.8149035103123414,0.7569559374733196,0.6410367955995311,0.6259492532335124,0.8367840330692541,0.7560631588139574,1.0058679217789104,1.4765289395206225,0.9853928087366947,0.7027771373258382,0.46613958378579,0.49844306514616793,0.7817828418075475,0.42435778138471514,0.43464345284258515,1.1572506236102311,0.4504765385178713,0.4754100204222066,0.4935445412745208,0.36255974190550255,0.48980811630935817,0.5014003996559001,0.6523558849637311,0.5806767249681937,1.4703061146206753,2.4828339383051885],[1.592158631947577,1.4150756941955696,0.4728006914423402,0.5178489767285532,0.43430351210064705,0.3307176633363162,0.2603576361318872,0.25145749266712136,0.24223023425713347,0.20301483880750448,0.19893131766415065,0.3360370528266423,0.22077357504282666,0.21781756243092076,0.3300476155546847,0.28815530464329603,0.35255749115458707,0.4045199592252833,0.4895808474451678,0.4190046796991784,0.496707897158725,0.6811801564253966,0.7254545508640683,0.770656874339124,0.5519964979921098,0.5587758513177783,0.45509618627382425,0.37958236898916103,0.342326060122459,0.33164815651863344,0.41298465600534956,0.3917843552454186,0.4497248715035661,0.4099792196715671,0.34152990311655884,0.3470386408719787,0.33544087672374645,0.36329167804388957,0.34821578086978455,0.36909880681968765,0.6358037873223616,0.48209582809542423,0.49440472988280293,0.5396783371776966,1.0467547916631432,1.6961572659141475,1.538676086500451,0.6837744990351852,1.114869909660153,1.1459577893505277,0.6669241099109824,2.076733436553133,1.2133364542349168,1.0321324943613848,1.5764141398577218,0.7134646110741765,1.4229207478541428,0.9387615913530202,1.306425033300428,1.0635059990024491,0.6879622471004855,0.5188037092530258,0.46905479262608724,0.6970051783805113,0.47627989363181256,0.4526362477239407,0.6749046505126316,0.5092292359630753,0.6798754371484583,0.5399165718794169,0.8419733901402155,1.1218248287315726,0.7482839788336483,0.8540574828991668,0.5027519502580221,1.0070437515673667,0.4526810919916172,0.44452704261245235,0.42909236679159474,0.4721994973005208,0.45720547542900175,0.46100293952337185,0.9697332901721022,0.4351346899827023,0.6130568504175641,0.35853792161748893,0.37261305820592067,0.42914608626201295,0.38211053185337057,0.5348291535427385,0.4373546102164871,0.6472541344512828,0.528603552962351,0.41646927655727234,0.40326697807838885,0.5081500081442395,0.5070365713427384,0.4062484849067595,0.38560812810487594,0.617040379490708,0.3855948824270892,0.5777798108304186,0.3895535967470494,0.4256031425026356,0.4810763167544728,0.41655238337381173,0.5146352016625474,0.3864683568829178,0.3778343611794199,0.6273304824246381,0.3412864536961429,0.28993964468899797,0.2549044999526769,0.32585134004802996,0.3137715136671781,0.3644252205588193,0.36796474273083096,0.6799030728220873,0.5164161139797508,0.5009263239721388,0.4529296743974353,0.4089654077435786,0.484170088137165,0.3272219367860915,0.27289864401715763,0.2953092887627683,0.3243797177326993,0.31617655001426603,0.2800056834917989,0.37782733220747106,0.34351982306085943,0.3400720118204786,0.42055728872170856,0.4704449531278115,0.49250232389842274,0.5716779804728372,0.5497462493706629,0.5366004163389707,0.6597527733506606,0.6141698536573085,0.8706799712836304,0.7139087280971403,0.4849893451672391,0.39869516617600204,0.3375910343794113,0.3296821775332461,0.28954332955869183,0.3101776412430315,0.2942853055099458,0.3312986218714893,0.3648205647139336,0.448822741406706,0.6127433754417075,1.4707544049382804,1.104052145806349,0.48156714851911436,0.37990699061560984,0.3852250999336411,0.3380621850116452,0.3642465133898053,0.4569226702244244,0.31653831761321866,0.3559823893609083,0.33569556103334547,0.45847700262238966,0.6580522725368714,0.5929725328084539,0.927762392639045,0.9689800518554007,1.006393810874406,0.677358424651164,0.6486469814394047,0.46198533101386263,0.4088364948137683,0.3109936055472379,0.3515632102532502,0.34849223669185897,0.6181343175976678,0.34500429977191194,0.41136687034213937,0.6804037819313148,0.36631682618201267,0.41309470299506296,0.35942447760999185,0.4029927086591848,0.47670942864561905,0.46577058029466833,0.6244309748622817,1.3090997852812203,0.7748873475601958,0.9927046603967068,0.7014266946715169,0.9197305932022638,0.7938357623309474,0.5382448331157291,0.6131332012102809,0.6960953958385055,0.3990931313143827,0.40109496510635706,0.3924943917485923,0.4524019768813156,0.6389543812324716,0.4905153116352407,0.5424225501787203,0.787567413151471,0.9192828946983164,0.9360548242090905,0.8675075259508355,1.1512436397755013,1.1047838443379934,1.027934948159067,1.189952970924438,1.385861333256572,1.3678446929731791,1.2895234818921093,1.041096815191118,1.4043230716377968,0.8071801472593986,0.8214619014510448,0.9820854052374707,0.878767099685916,1.594384369081793,1.1828339851017733,1.668080985258556,1.1333438703602754,1.0076995810685503,0.9882835767486478,0.9441706250679021,0.7257668831761155,0.6383852043884033,0.7711173973513847,0.61423566231991,0.7015808989608056,0.5082522185740025,1.0278679068409695,0.6788401769517854,0.6733111586242037,0.7664657658738695,0.4302248126805313,0.5115927234207926,0.6030781687521792,0.7962118255179471,1.0374289743385279,1.1916901267799465,1.325753872861103,0.9970196724557581,1.139248281795688,1.4377706073839747,1.2425870672903454,1.2155857369118803,1.5130726070285085,1.6443552040545906,1.4229342124979754,1.451925189621315,1.6581224031456918,1.7368768003808746,1.462731555532962,1.480988175518527,1.2897944667900025,1.2398839794699454,1.1288513033895322,1.0565617754903116,1.0578983642704969,0.9293414783946908,0.7796493674893774,0.7755056841259557,0.7961716826563862,0.6446540706597556,0.6391619971548137,0.83814277864415,0.7477667742692613,0.6515822744226749,0.7277790351375093,0.8725387118379628,0.8827657392079992,0.9935898809611782,1.2210844818550464,1.5224590835046206,0.8749563382975979,0.7902605352001667,0.6785351447941902,0.6370730825431113,0.8359710338130945,0.8188648295105116,1.0800289026053578,1.5594453383701166,0.8897514433134552,0.6331872018522547,0.39385489545606583,0.4119984024602806,0.7478617929302451,0.366277088855477,0.3971409958844597,1.230378731326843,0.4091119799884802,0.4612118049663455,0.4919592642615074,0.33861247222817575,0.47925594073067906,0.5338395665920382,0.6546900946716152,0.5468944932863962,1.2987194830783324,2.362691729146579],[1.3726431210430912,1.1458425946033648,0.46511269602274563,0.4910231900958967,0.42414607897324424,0.3338397570191494,0.2851677977243702,0.2361450418780242,0.21298548728901015,0.20429983804536256,0.21800260907052746,0.31387086687772514,0.2202753721266231,0.237744555890342,0.40653196840445316,0.3334985950611354,0.35750630037583797,0.4126616352045407,0.46982651061784414,0.4142312784805503,0.4597218616396869,0.6413023068971513,0.6423137810444822,0.6597748163554147,0.47580585402982695,0.5042681274457967,0.4223878305475249,0.3709317057961531,0.35538002753149744,0.35292617645118146,0.4260060338986255,0.4171717573602815,0.4589255216389258,0.4277696247783347,0.3851983049761738,0.37356104837128185,0.36353737713354983,0.36799453044465563,0.34086941365866297,0.3786105289405118,0.6554070056399185,0.4464199122664957,0.4553293725062519,0.48068914400754675,0.7893541517886771,1.38781880215286,1.1511285991509677,0.614509820911347,1.0390500123196473,0.9127181773404741,0.6475063749535791,1.7466152572155271,1.0509846657994162,0.9156536823919105,1.6407078622859945,0.7836540516217809,1.413385625146601,0.9330171551757338,1.4319760428517203,1.0107883938225313,0.6378503155651833,0.5370465708291889,0.47773969066994315,0.6765433478978314,0.46062212675115166,0.4623948310933505,0.6798362562509956,0.5127064723842881,0.6329069683339508,0.541502194776353,0.8291980940508399,1.113194636278085,0.7655338209713299,0.7677913988823317,0.512396373103074,0.9206003452925223,0.4419978180064339,0.45285766741402533,0.4326524865814281,0.4906186800359751,0.4884347287333007,0.45980523339043533,1.006645342637236,0.4816137240273284,0.5825358529343145,0.38611724698042804,0.39207790659918523,0.4523690294056005,0.4028448266199247,0.5628887803877408,0.4460981493543734,0.6290480066272425,0.5052828977033487,0.41895335440143633,0.4136149431848248,0.48812625165049117,0.508303586084648,0.39737632455870864,0.38032456777319357,0.5860173603425894,0.3864048956281564,0.5779076866799229,0.39163338730408925,0.4308193062676685,0.4794234969531651,0.42097547957972253,0.5322484173376729,0.3957783260668273,0.3712927970135703,0.6245980909714391,0.3297779294046883,0.2725989985105182,0.24449829555480812,0.3142945048676811,0.31189453355569385,0.34121913009051286,0.3575907453321575,0.7006271486520864,0.4504777830973856,0.5108833129547736,0.44676902592584333,0.4015418378893546,0.4221569827358036,0.31497649004163397,0.2973881929003492,0.299441149790004,0.3562859056333897,0.3370944075078243,0.28708833029403563,0.37467731248377156,0.34215631852104356,0.34734069131203393,0.40058816359041166,0.5001896960473765,0.48069921943200955,0.5191499497803865,0.49473067406487603,0.5236574108865664,0.6649781606594742,0.49434787765787763,0.7461352086902837,0.5888864319213659,0.4442831061493759,0.3745553729617203,0.3096286207103818,0.3182333040178966,0.2710003278663095,0.31239295841485354,0.294893773123328,0.31161188131922485,0.3414600380162472,0.4285969539088917,0.5925965874127681,1.439857749551338,1.0864160378265706,0.4727536443266482,0.3812586670775261,0.37652796478041506,0.3376474820699836,0.37743146771626584,0.43076627243645993,0.3350439119518471,0.3274464603368569,0.3469690115997567,0.455882254604098,0.6047179243901698,0.5153551177526137,0.7659128598758245,0.8524918683485063,0.914775272466477,0.6136468815488052,0.592571334445604,0.42191826299218976,0.3791470877651667,0.307328559952307,0.3771871609757978,0.35433523572986453,0.6615169867543014,0.35976221966841926,0.4413840497234309,0.6114298525975228,0.3550710038873954,0.3830940290408725,0.3349365195957549,0.3643642459816186,0.4291007629762766,0.4256579524060967,0.6058982969116705,1.2229446883728088,0.6777164150382534,0.8891321884197184,0.6367713030397089,0.8226268907521728,0.7126319441220403,0.507475530426268,0.52384536659173,0.725913085700476,0.3885376036465152,0.3794572159102033,0.3869876476181715,0.46100777435873946,0.6421031808146864,0.47637782885827795,0.5126233216079348,0.7546014786947174,0.8473059502644125,0.8656326795554004,0.7756320956285815,1.045054127490236,0.946005111518161,0.8787225380891269,1.023572873898264,1.182337645845183,1.2236446751279695,1.0964987953290672,0.888004278313568,1.2743882624490022,0.7118360012749338,0.7234928991380152,0.8739356729907128,0.7940279264514556,1.7215280191633378,1.1409161388727973,1.6600078039529529,1.1282265611003148,1.0492212028900925,1.0344647658464616,1.034797464818206,0.7662833992974081,0.647453674174735,0.8026298219092192,0.6185092745652064,0.6974395234295203,0.4970787667796185,1.0150732261530409,0.5425490698679671,0.6086313840349469,0.6926231638673381,0.4005372545958448,0.5516146310443738,0.6583819594524714,0.8156622443162774,1.0879748784152328,1.2354861391564063,1.3667821679930785,1.0187021106574872,1.1428547747337288,1.456204439952223,1.2290972598176562,1.1787673518795525,1.4564933978208583,1.5607028397172735,1.305754486754849,1.3533992420916918,1.5391348792348674,1.5622030139291905,1.3094623261612122,1.351059707538126,1.1804519437813092,1.170434147396569,1.0887882314587172,1.0380019742592035,0.995385063713426,0.8506697028178842,0.7564279979743356,0.7228758693532075,0.7263382635934813,0.5953628069810784,0.5938794119124952,0.7628592104295908,0.6915827739930216,0.5872347708493834,0.6759798569383972,0.7677191719676183,0.8019769486035921,0.9230169475535183,1.1462935670790917,1.5135797386842351,0.825387414201356,0.7818722043832023,0.6273029607822991,0.557597997338969,0.913694147034831,0.8646739613280078,1.0504962862122018,1.4914296164300336,0.8177050369350222,0.6579251178635991,0.3783455415503987,0.3982060150591643,0.6816828447874033,0.36446886138067536,0.39338912182896213,1.2445857136025908,0.405151986996728,0.42700727097073093,0.4999039462322242,0.33849784451683834,0.4506843084798702,0.49852718426288845,0.6699232334723242,0.5576532933621393,1.4377187763768056,2.4498990552448676],[1.554852611022421,1.3043942665213872,0.5753572977813257,0.5410470665810685,0.4776146584612153,0.4412131953442149,0.37236605883000357,0.37867874933423795,0.346889601473265,0.34958601343149415,0.38350418616813187,0.4254874150186118,0.4030936066263117,0.4983015516794677,0.6267586183685312,0.5431428624144478,0.5888640902789689,0.6912084818204506,0.7859695717995421,0.6792463518463946,0.7765999774958942,0.9082393181974836,0.9555798023057999,1.0146746176003907,0.7654368573242099,0.8056350921002801,0.6936250034329062,0.6393948968047948,0.603887919587663,0.5386361149805851,0.6327274296735215,0.5507752796448021,0.6059231427546301,0.614619472707124,0.5585556290262936,0.5961570020824725,0.5287654454793405,0.594088898064285,0.5811727101167176,0.564256534417442,0.7566777438768282,0.719724218741433,0.7492454616475476,0.7146427660237772,0.9800791931853079,1.4714044857887463,1.2677054785780504,0.8325976593761231,1.149923024976315,0.9915483398439852,0.8248811188165003,1.770462440777258,1.1329033863707185,0.9720893588553728,1.7030089617182873,0.9409455374737277,1.4858041395546289,1.063932398784262,1.5527300666562913,1.1155905883669126,0.7798737305217431,0.7391322797548765,0.7400398522543613,0.9432582041542776,0.7271646007884363,0.6875854552338239,0.8590326645742329,0.7751423280881765,0.9040424928364388,0.8056413815344778,1.0684388012519852,1.4221850845314217,0.9827124984904392,1.0536178356513834,0.756876235418432,1.100221418781783,0.6959110113174889,0.6917284402405741,0.6596213067447297,0.6947928108622893,0.6756712309987687,0.6187675945008579,1.0976656386991837,0.5711642965649975,0.7375516284263364,0.5607138048606125,0.6064294522743257,0.5994625006739188,0.635631507832353,0.7381948290463081,0.6737957594437782,0.8455614348236153,0.7162422970402376,0.6142169745645424,0.6093851816876904,0.6645173815742533,0.6497729790481773,0.5418766473367873,0.5151325400378085,0.7381932009408455,0.5127236029794843,0.6322483583449734,0.49347732363680197,0.5256794601993376,0.5752328923426903,0.5076775420249138,0.6182058224111912,0.47544506540078624,0.45511994776426,0.691643608468136,0.4270922795365008,0.35698690718557935,0.3400375407206866,0.41393875981988404,0.46081552113728974,0.5289579212761507,0.5950485660006001,0.7509491134712101,0.7731176731794143,0.7862082661451825,0.7424014945085766,0.6828374281147409,0.6352790190500988,0.4768857805099896,0.3756940155793552,0.3861156618442699,0.4162320629717878,0.40498242933128226,0.3695584674721777,0.4375926710632273,0.39853273404145834,0.4166499515986639,0.449513621920576,0.5514815311569135,0.5171486425022856,0.5398880973810674,0.5361277041109035,0.5540215828653872,0.7010676100005743,0.6322938982910271,0.9152302358205484,0.7766369765518992,0.6480614189144295,0.5985401843682111,0.5562718138615195,0.5380489397002998,0.4796025017541622,0.44291064425211746,0.4072286255131281,0.3964882805489425,0.4250387074963714,0.5089266037308795,0.7070696692062426,1.6878876340755697,1.1825177116282684,0.5960057792743305,0.4780939401455703,0.4651940882559066,0.451524900418273,0.46926555535684056,0.5093585567011645,0.4873247222212762,0.48762547654443544,0.5323082059131606,0.5566613941338987,0.7049802450399695,0.5774602143612015,0.8176548438350891,0.8704870428386224,0.9291369473977313,0.64759765816878,0.6293348827315247,0.4733128246320679,0.44768010984090534,0.41882622684633775,0.4909709298372972,0.4795624726921788,0.7717771420929864,0.47507300358667126,0.5495444933564037,0.6365457239974606,0.4435726163060707,0.4669086526951232,0.4407202392454311,0.46852168175489745,0.5487599428574738,0.5610632538192765,0.6969463149450759,1.2525750652969927,0.7375239746738119,0.9483304352306591,0.6964736051038831,0.8618869360198824,0.7406304277288267,0.5415163938888399,0.5680228475903821,0.7344480204942694,0.44848680940348695,0.446265440046742,0.4636171733167237,0.5631587901488253,0.7545693092940963,0.574976609386293,0.6173814074791377,0.8968217052779586,0.9840445240413023,0.9692715752126885,0.9207938579156614,1.2410405329966039,1.1191016938778608,1.056878729814665,1.246865983884341,1.4113198089015646,1.4104683116974082,1.3061897585111506,1.0606103178244748,1.4685545083144314,0.863937958705725,0.8983017556988127,1.0815861692454518,0.9872532145318862,1.8232963497253312,1.3203751533283474,1.8012939833382853,1.265105707155966,1.203846558140393,1.1765553019541355,1.160365114715686,0.8880389666564886,0.7483898564493573,0.8902139573845375,0.6980528981524426,0.7604765768883585,0.5698154611579094,1.0470215277820485,0.6044445846208991,0.6694454187852559,0.7417327262839899,0.468063436052406,0.6084617339344547,0.7290550948623091,0.9293116348811845,1.1943472217859745,1.384678417309666,1.484610196484802,1.1303281330354606,1.3224506477883569,1.6352158346495087,1.3748866987005686,1.35519375221241,1.6823107228885958,1.7924721149911482,1.51789688758085,1.5972180074815172,1.822390141887201,1.8124615067721366,1.5711667709469197,1.6310322118716565,1.429502628297457,1.4064145994726858,1.2820899060723123,1.2203537447073838,1.213255335640505,1.0252212375092082,0.9096671965246778,0.8830554638386605,0.875850181600011,0.7067602853227187,0.7123925130191842,0.874419564586727,0.7756832994440465,0.6576462247509851,0.7474906026536157,0.8323617629950661,0.8612239801563405,0.9806209271240687,1.1635874677881146,1.4995371602800451,0.9206723220949439,0.852152787717957,0.7382181590891392,0.6810044998999872,0.967517996841963,0.9130615392111985,1.1084830068844158,1.5520633180840948,0.8543973465472977,0.6784867324907787,0.4492603965104989,0.46624388940856887,0.7568677814636021,0.49670639316578497,0.5452549808678964,1.3740139028246243,0.508272026699717,0.5575161998685018,0.6798013809020319,0.5031703922032106,0.5576978561049231,0.6571583073982483,0.785696790748131,0.7422430921181236,1.4472254669759668,2.8447893743896144],[1.6742722158324308,1.4455936783666354,0.5751685250213777,0.5624929848652481,0.4504205553597788,0.3984134066144728,0.3059220593883371,0.2835676747127246,0.2514000197961702,0.26635873893771117,0.28279096789420494,0.38873559925166223,0.30882088393126,0.3607415925357592,0.4992298367612037,0.44268634779564736,0.4749960383591493,0.567906756016486,0.6543162320123261,0.5588510380400628,0.6633512168373947,0.820017312820259,0.8929441955105916,0.9526109042094403,0.6634353448387512,0.6932769698129891,0.5840267391334616,0.5162211606704156,0.48510087479686154,0.4472993662336093,0.5610356217762174,0.507500353250514,0.5981234523609501,0.5801397159326429,0.4969089171719824,0.5069822923232241,0.45751080244180464,0.49205905397581406,0.4754756114795652,0.476447181785913,0.6881617166454825,0.6200632779589014,0.6515836341434702,0.6355629126515246,1.0405568566723458,1.6308517343099658,1.4455644330904585,0.7489750707460824,1.1417200903810936,1.06836754328457,0.7087586573044733,1.9285332549541954,1.1725162008180405,0.990308727630984,1.6253390313728338,0.8210175899395863,1.4666243466567381,1.0012763257370714,1.4332166994205784,1.064846580137629,0.7352932810819571,0.6481908576233878,0.6535246481509265,0.857986569305301,0.6255618816228562,0.594423905094116,0.7770196347893599,0.6660682495153756,0.8040813683907833,0.6918694956704541,0.9603299910238406,1.3042343068105045,0.88330087481779,0.9926848496868288,0.6653075354144171,1.0863182376841967,0.6110480555256941,0.6218356014708702,0.5897281139551741,0.6062758212608086,0.6013315782543559,0.5473669912329648,1.06644656288678,0.5190751742504515,0.6825279853420204,0.47467195192398953,0.5100635064870411,0.5414705947706885,0.5430182873386005,0.6789309280245708,0.6077093095355321,0.795676688723187,0.674459206593866,0.5859891897930442,0.5634170927967157,0.6456629628834311,0.5999544947987528,0.5348713159970979,0.5030150261047163,0.7065417330522664,0.4933408969976388,0.6326987808014569,0.46469753964100796,0.4901365499180034,0.5258300644976482,0.4525207883212167,0.5695165646870707,0.4254193971190137,0.4165830782606224,0.6635776818034173,0.3811291178392028,0.2981179449253935,0.2775572866517518,0.3367009575137638,0.36303152315723597,0.42581014187357374,0.4797308474015078,0.6765514753160933,0.6765219393511614,0.6592700348209002,0.6148329816553243,0.5516661003168445,0.5553731778454452,0.38188366145812047,0.29621035297132525,0.32739473590212015,0.3864839960063975,0.350241854258736,0.3091862687354258,0.39899643039390487,0.36707951634335007,0.36693906816381106,0.42777703902816905,0.506060841121746,0.5023799139493347,0.5618156843036353,0.5561145024886036,0.5324991552058055,0.6596456247091617,0.6038888243042634,0.890068605892841,0.7473575607170887,0.5617298895377356,0.4804181529341614,0.43933363823557,0.43797501990915916,0.37288006806768664,0.370349692575091,0.33965786066420756,0.3515154083912513,0.37457542460939197,0.46171834460908573,0.672490671780537,1.6456682900231585,1.1166077015419758,0.5568359749882906,0.44769595591218264,0.42920016006032186,0.4013937123336285,0.4100279394453171,0.4642055565377295,0.41039448206400747,0.41153499746731514,0.42701044159601376,0.485780101018645,0.6594023193335677,0.5740419820323245,0.8822679616673481,0.9379468852832891,0.9792640041197176,0.6628119878114791,0.6213957538638217,0.4538335962633235,0.4128509609347447,0.35898473321150476,0.4321807212025816,0.42163204175601365,0.7190241442696241,0.416484858405937,0.49210006389302846,0.6401398667481718,0.38695123674605286,0.41771977048946735,0.37621250018823843,0.4122416851675768,0.49771923616832947,0.506689385952698,0.6484469252379603,1.2774394662440014,0.7483435306164008,0.9628355140272762,0.7004918673235224,0.9046526601683172,0.7846122230338048,0.5341890675617971,0.5993609870097443,0.7506316115933027,0.42773995460674197,0.425966350472979,0.42361262125993415,0.5529167997096062,0.7428507115614813,0.5574068370599801,0.6259886686471571,0.9219185587686197,1.0206098260199847,1.0125917938745013,0.9712975524520974,1.305846243438928,1.1924790747622978,1.1277076600780072,1.3355545587429927,1.5159206627024953,1.4793232563316505,1.4067777993369361,1.1435047098072897,1.5624140822445074,0.921494042335266,0.9499858321564519,1.1542066884115314,1.0479876947600926,1.7663158224162727,1.385564620958511,1.8590867567524647,1.304279067720557,1.2135209409660301,1.1672235796169206,1.112110014681999,0.8924524554941777,0.7657569190202214,0.889088459687536,0.6972117159616574,0.7814131544395362,0.5823896127224941,1.0265158942466037,0.6595272276850527,0.6633921988263959,0.7345144945070678,0.457964033827642,0.5967995781004188,0.7173512073217836,0.9235966564511635,1.1659227133211991,1.3488338658671761,1.454821772459758,1.125477547240283,1.32722960191317,1.6188401698267194,1.3735110851161125,1.3817208342413339,1.7242358635178798,1.8454799308757144,1.589190925642264,1.6626876997421272,1.902825299841228,1.9249470273705402,1.6655497150790533,1.7162821064897185,1.5052841620315507,1.462346541563968,1.3205945489059487,1.2498687565803142,1.2646144253956806,1.0791197118596554,0.9348449348000853,0.9289976168637589,0.9257113023975732,0.7329260439245795,0.7408592581651172,0.9164120714792521,0.7921251751572194,0.6636078213776986,0.7510126086837692,0.851218280880074,0.8778818818091868,0.9959814646606284,1.1464931760693757,1.4379867836969498,0.9447563709548675,0.8414373578042306,0.7492887932417271,0.6956694015485047,0.9073537148849631,0.8714119616200662,1.106779848756263,1.5601388492170325,0.8404554174694501,0.626695095498303,0.427352382928984,0.42471360001231695,0.7616577270657708,0.3953034925386744,0.4420770992921629,1.3388955625122125,0.41856810483538304,0.45590446273818414,0.5585427554908963,0.38991529957737986,0.48118466276095373,0.5789639981182957,0.6818446953472639,0.6309969383530472,1.2898699122600412,2.7587978710775203],[1.6168505126208532,1.3721750011770697,0.6254564383248987,0.586661988971503,0.4628024094490187,0.3816982174078414,0.3160740002902607,0.3376198391318316,0.30761102519916683,0.31997027569282976,0.37676228017111785,0.4637719756962793,0.37914265720762835,0.3721512162995605,0.5082733765901637,0.46108163018887566,0.4630515150881986,0.5166856844429332,0.5680140720738952,0.5120540930341014,0.5615859762001424,0.6959128549866969,0.7271629272381206,0.7761191039808919,0.5722335147638626,0.5951407626198583,0.5048117103703187,0.4627986425504435,0.4547244813036971,0.4424814369701803,0.527851569221845,0.5381426137621295,0.5902302509282438,0.5709412595185417,0.5099632691562974,0.4800017338276431,0.4705066771295916,0.4555383794211635,0.4281781412073792,0.4551423247015391,0.7116387727847743,0.5291809471213951,0.5231964591946868,0.5654921977111187,0.9260370474530939,1.5356476279822953,1.316556730936113,0.6650443525869912,1.0716865686103483,1.0117034801943052,0.6911055256360401,1.7977582343353689,1.1003673688643183,0.9468257510078637,1.6610353086210838,0.8579841871706111,1.467500402929702,0.9982855111895342,1.4866110521176052,1.0719393884643589,0.6951785120894383,0.6171837351756663,0.600739900289357,0.8030434039850888,0.546835123645697,0.5464905565225376,0.7322206294870938,0.6136757115457859,0.7569867729400206,0.6318401133609102,0.9148218944126629,1.2521397362491613,0.8465213649922678,0.9192042314493318,0.6020882021986232,1.0185818977906347,0.5574147664162793,0.5975796880940918,0.5552622182571336,0.5999190582992211,0.5842057133035025,0.5375448864223367,1.0609123832787009,0.5264517483803035,0.6160449501188616,0.47018537758781187,0.48240612342626715,0.5465107096504729,0.5127629852724463,0.6813480926036722,0.5782036549868139,0.7240849077919064,0.625639787864903,0.5567592480524378,0.5396714336304805,0.6162409942422593,0.5796205196021657,0.5464427754691759,0.5408391011349211,0.7015662602461622,0.5216052490205808,0.6916255220175287,0.4973309885056404,0.5353216649359933,0.5506795449576394,0.484769776113568,0.6246186275838413,0.46093669680740496,0.47216606223529,0.659793884164454,0.4185852970450466,0.346784026863443,0.31191226555726087,0.36791526505537814,0.39571882325530805,0.4079615243800733,0.4421512986998847,0.8292043455087647,0.5707142754472528,0.5868830132189029,0.5418825166394652,0.5005142250752074,0.5260682790947655,0.3766591008531055,0.3628497792277202,0.35273133546156804,0.41942739018303166,0.39698255466338056,0.3630770086829904,0.45634056772964504,0.4210412422947701,0.4084640203647915,0.4808319831411515,0.5537271063388577,0.5760656804857219,0.6550796545252427,0.6462161163820908,0.6462774647120474,0.7536837060808598,0.6016170625832936,0.8347323327283329,0.7175649674322706,0.5281425356704625,0.4514382827205076,0.4085655851233813,0.4172337199305442,0.3772044082584431,0.4222453844968856,0.38604049478310837,0.40588397951037375,0.4366337573691784,0.5196409219158462,0.7210928970349939,1.6039272415119112,1.032904725892381,0.5892220870327574,0.5031717302753177,0.49167784620924876,0.4319635362557946,0.4587373452658541,0.48436922925416065,0.42319394146054806,0.42895205203373654,0.4320824385864142,0.5286141400768865,0.7121935765340914,0.6482340727407326,0.9541032108884153,1.0520857409870066,1.0857578575812272,0.7525530846148257,0.7240553002393735,0.537028188365206,0.4875991307976182,0.3860422607775553,0.45395728497349086,0.4444874886860972,0.7473498910935812,0.4335912878975427,0.5328302720467745,0.705299278267242,0.4421486693026544,0.4542019054073182,0.4239979136161189,0.45106908358885,0.49453064127632607,0.5074008456551763,0.6573258467153579,1.324625825082102,0.7791329345308059,0.9919325453963186,0.6831263858495948,0.8922039585070789,0.7939577580522399,0.5767973657880522,0.610951264498504,0.8199850137570408,0.46346833779861574,0.46571262383534157,0.4474360616769486,0.6309357813089257,0.8099096154170146,0.5935032721817225,0.6897710877349867,0.9904657740662024,1.0582059023360861,1.0447629707006236,1.0105605750086772,1.3497136233487317,1.192494461183059,1.129844128832136,1.3354805562465761,1.4972219406310965,1.4616152000504832,1.3728188150318927,1.129139099304194,1.5660857374540393,0.9574075024785488,0.9894131436700042,1.1884960577965336,1.1105052171641598,1.8236575360951286,1.426251581825322,1.9451525716531224,1.3847440305742953,1.3149138074898095,1.2604088608358124,1.194710560031189,0.9948185498094249,0.8567675227364562,0.9833197172201947,0.7872807305002048,0.864946306846743,0.6745618819926994,1.0120644931031482,0.6857671507683647,0.7101843348991883,0.7514049344306497,0.524676068162884,0.6891501655583038,0.8093245808124347,1.0204028289073372,1.2414090843712882,1.422300264059343,1.5121586508383773,1.214143362944605,1.4127310124571697,1.6637413273100001,1.4340090374115304,1.4471142958076664,1.7834107936317298,1.896445481368501,1.635933462396651,1.7132189843372156,1.9420558718959982,1.9528492554003911,1.6922137814782314,1.7498296515215106,1.548072616261551,1.5261589343642228,1.4004335402509034,1.3438379227241257,1.3350973898234821,1.1437473413104196,1.0250535232782374,1.020764875730714,1.0018626645750117,0.8247886708341068,0.8488986804797755,0.9945148802539621,0.8662591899914038,0.7383825360735089,0.8088358580748636,0.9156542935180785,0.9306319098556651,1.0675806149474039,1.139817906848609,1.4706691454768825,0.9964334336778606,0.9111120699980202,0.7906913813209169,0.7022508403254402,1.001811467519902,0.9853811291386949,1.1823906309665841,1.5778797047288848,0.7928449787888556,0.6197661615263863,0.44916445329356064,0.42579222436451913,0.7327827543621096,0.4136812688988761,0.4338643513478196,1.3957453749574038,0.3974095911376095,0.43403186986635195,0.5192422613632168,0.3470016528849747,0.45480366901898023,0.5595654481764446,0.6108298029073214,0.5166884186382492,1.1890123717336358,2.667102832985898],[1.6482542463036278,1.29421761631181,0.6563938972041529,0.5339187426634072,0.4454119160750859,0.3386827221927119,0.25753520800803437,0.3312040245846153,0.29531310560120216,0.3565179816354729,0.4596228708558395,0.5453467380473762,0.46838799915573237,0.4693662267860587,0.6625241564486365,0.6053271569727376,0.5709799752337346,0.6680746248075734,0.7066058827999695,0.6411969595586832,0.7063385577787057,0.8592091712635744,0.8875069125596422,0.9183334187713208,0.6670524288544656,0.7090917705010376,0.6194677016791016,0.5764392062436373,0.5815047757265964,0.5788401357876426,0.7035013761163109,0.691205258239601,0.7486262034993739,0.7401915508934224,0.673721974679416,0.6404464954644553,0.6001633870711813,0.5900647694021227,0.5399438091923358,0.5176110582419247,0.7385347724922888,0.6592287473958055,0.6938874989598757,0.6755524038916849,0.899092131433539,1.421168970775746,1.201100212152479,0.7807348571564974,1.1093297832377509,0.944485851950605,0.8041626151523086,1.6146684017239754,1.0244427875287319,0.8946586410918574,1.7453851083895853,0.9920379088692828,1.4667490623400528,1.073680955901507,1.6304031438630835,1.115445394299192,0.7915028410695317,0.7573143196862743,0.7580807894336907,0.8993331378803283,0.6983667825412406,0.682304942817351,0.851482096260477,0.765070351676916,0.8511508097565695,0.7661580574540648,1.004742713304086,1.3905307206319586,0.9775847983875109,1.0520767946840395,0.763584607928267,1.0926932518511328,0.7069202185704802,0.7610292047582364,0.7232113245931673,0.7349439323149676,0.7315714714429287,0.6612882878997269,1.1059437152420464,0.6153210919478392,0.6826590644488266,0.6002002674820718,0.6318858073725505,0.6823567633895847,0.6799219579634153,0.8343650028541858,0.7522076354154424,0.9004065707759634,0.807996034440096,0.7462413004942327,0.7206210058077285,0.7974438491306247,0.7494665609294872,0.7006325592093469,0.6649204585754608,0.7879229259409751,0.6465792171146961,0.7708273144965985,0.6137984026573673,0.6137991673662262,0.604526609700039,0.5283373044944397,0.6832319447818535,0.47209134673920705,0.4767747035879662,0.6559489910973691,0.40961927760772154,0.361890800540865,0.3154355089364313,0.38964353702801474,0.45449135049748896,0.46741486658451276,0.5180673454691452,0.6922863490683107,0.6492678028235609,0.7026238466372869,0.6254981435056044,0.5703858542434412,0.5224028246821072,0.4061423102906907,0.349079697399939,0.3165828193327407,0.3890458112837307,0.37920873882837364,0.3435374531234189,0.44608789991707437,0.39010582646686875,0.40066750837716714,0.4382054749612501,0.5485236718359587,0.5200982254405127,0.581269291102431,0.5917273837230254,0.5844481865943815,0.702358398106464,0.5426338626073166,0.8363760591913048,0.6924141187277864,0.5587440083915999,0.5167960764928919,0.4822233782034538,0.49942928025806854,0.4385554228995684,0.47034732268655555,0.430872789892429,0.4562594720821982,0.4740606323946897,0.5495711161456567,0.7872457410790599,1.6807902056934672,1.0061945147764877,0.6570825755968415,0.5993407626456035,0.5758063869297245,0.5293216948268941,0.5221731466263932,0.47714310459083836,0.48668254453124027,0.4247141669212659,0.47755001755870613,0.526308371069758,0.6442106183218019,0.5663521839122172,0.8420007153549556,0.9706351923243085,0.9996993632571168,0.6685384381618168,0.6452431241517151,0.46898601407032636,0.4702041480094644,0.4428016886168602,0.5321794912814152,0.545066640991777,0.8506700469591185,0.5406152245832414,0.6181016877187232,0.6705195655609341,0.46955943944366574,0.46767280638025255,0.4370650568595033,0.44535808143947253,0.5053921339245081,0.5261576136152523,0.6435174413299565,1.241706012411476,0.7164246392217536,0.914717586391896,0.6407001178533321,0.8346585494249114,0.7304515741280058,0.5390392710390446,0.5476023643214141,0.7967404435285016,0.46213226460760587,0.46238682780316387,0.4464663248575885,0.6816930508659057,0.8642763574757196,0.5934381003105255,0.6973997394560241,1.0473181105492302,1.070573709319316,1.0290106961341439,1.0326729617463546,1.4121816329179189,1.175076061379686,1.140796730430087,1.3857233900830268,1.5147607620695969,1.48075037458009,1.409813862801897,1.1626362562533643,1.6575431892429542,1.0319650663235014,1.0533773488117728,1.2862307525054657,1.228108468891121,1.9596809604322918,1.5876977062483477,2.112183921761024,1.5066152049111396,1.4666363611482116,1.4015701519760104,1.3434858498872153,1.1183374923857439,0.9499821959311219,1.0815175567256707,0.8782633905408591,0.9400763559261164,0.730384186283275,1.0143356436251636,0.6872874391891276,0.70699340027718,0.7252951505258377,0.5249511295648349,0.7349098687944592,0.8925485556390923,1.11895649395589,1.3595911071084268,1.5837597276733963,1.6394570264318535,1.3152592414239115,1.5678014432191387,1.8191123083902339,1.526686636900985,1.5499343863987471,1.9325985787274316,2.029034782472826,1.7219127425532494,1.854454402285166,2.1093829550691994,2.049111111028303,1.8046594366930204,1.9095268199966804,1.6787492481987698,1.6759344233886535,1.5251095819631852,1.4777148000696472,1.4737383628335272,1.2242726259692467,1.1263717791737426,1.1166875445536044,1.0673615533880456,0.8701372299610827,0.9231473510155026,1.0377972518373353,0.8871454390230568,0.7596425802430591,0.8338809045371927,0.938774307440328,0.9552165321347972,1.1093926364006104,1.1316468395027004,1.4782852885914441,1.100220433830901,0.9919528502913356,0.8261166415065434,0.7302058331133375,1.116671860119533,1.0847115050366456,1.2602757359582628,1.6244445330747503,0.7933059486717738,0.6231450950595552,0.439160232496337,0.40973120631575133,0.665606011442832,0.40484361341692765,0.46118917492334094,1.4269792142456987,0.36567259186666723,0.41583810075378125,0.5263677002368707,0.31568570164755305,0.37272517171913844,0.5643169778264756,0.6209028479445219,0.5458732151414399,1.149493057622741,2.9746714024166754],[1.6804357807171202,1.21652674239163,0.801990871743039,0.6155421484870431,0.4430694912137399,0.38209571511739077,0.3324879722040694,0.4423574192282124,0.3747923029881128,0.42372115334330224,0.5685958788219375,0.6800741702445774,0.5886815136024744,0.53479011842294,0.8155844802961904,0.7600193283224883,0.6579954301355994,0.7715050945414088,0.7772183470767491,0.7288653303470772,0.7832573144241933,0.9667600000721444,0.9340555362990002,0.9102872140724988,0.7022363356548588,0.755906361383686,0.6727370461569825,0.6470775312447289,0.6801283078082085,0.7242964039740538,0.8691315145853635,0.8817417833083243,0.9682634091717839,0.9470950999514248,0.8744098112005825,0.8070014721658104,0.7757720106335879,0.710757668730959,0.6334689944507361,0.5970606708529265,0.7931305508541053,0.7191763089561862,0.7766901212062223,0.7648854516983128,0.7884567143710185,1.2531436142804242,1.0303405486097752,0.9019159323562493,1.1611788120206827,0.9413644362060324,0.9644498503249517,1.3731403542367318,1.0229153421476962,0.9493652934081364,1.9227857242682374,1.236005853213686,1.4874237247777753,1.2126979232180204,1.848927651840977,1.2243441998284443,0.8842729326258079,0.9138048270080832,0.8969573412083428,0.9713661334619853,0.8301035287970875,0.8284041952914003,0.9542059406003499,0.880826994809095,0.9029702014639389,0.863209346843148,1.055686796202245,1.4264123315337067,1.079637737348206,1.119909578698399,0.9077838465904936,1.1567247115228936,0.8660545266003377,0.9342056978256154,0.9046994616740607,0.8934270755749305,0.9119270383407738,0.8350441689010943,1.2135872194861372,0.818441535742907,0.7550052805424343,0.7546245900519413,0.7896164165544075,0.8655011948996444,0.8482355225612638,1.0308096838932295,0.9365605724011214,1.0597466895336518,1.0026042247718046,0.9699390390335133,0.9200119213668452,1.000561292523648,0.9206664546866826,0.8976866978688983,0.8487907810853513,0.9331503449823977,0.838311455756976,0.9460037741716113,0.8136492809079596,0.7754089381863927,0.7492052758174045,0.6681398672905169,0.796350762846795,0.6064467707120407,0.632617117467643,0.7289581586050176,0.5292263533229461,0.45332783731420956,0.409452811914438,0.43975925636779106,0.5088568219229663,0.49452215872163025,0.5597398943917729,0.7020901748713836,0.6698271709669894,0.7465311708943335,0.6508637073204904,0.593988696575727,0.5127855663627165,0.4198034930899593,0.3938529773507096,0.37367364186023166,0.46994512835602686,0.4442970183740249,0.4610264612682672,0.5454602338883523,0.5246286690897329,0.5113535057588783,0.5292383549531587,0.6476985667131016,0.5896205259006532,0.6291999769865066,0.7091290942075418,0.644102368645826,0.709264582844907,0.4923498756405348,0.7700092614038149,0.6316495840866136,0.5577118996177745,0.5305900235253117,0.5348017851134738,0.5684770678467469,0.49549191114310176,0.5593087228468081,0.5381098658682558,0.5502915788147508,0.5920718213187479,0.6700577134009535,0.9461985713436479,1.6491834331985764,1.021335958487236,0.84247776471703,0.7603026869014057,0.7248038671471413,0.6882080359867466,0.6625142443359302,0.5664560314674857,0.596177163323305,0.4650941400970038,0.5641523334102777,0.627914528994116,0.6339713047663899,0.6165241276640075,0.8401500038209586,1.007995317265909,1.0279893545388656,0.7089226390262338,0.6658637790114681,0.5363324937164846,0.5570967543161979,0.5825853884901813,0.6955747731256179,0.7095997475350501,1.028995871372414,0.725759124993412,0.8223038199324061,0.7181009912131374,0.6008327067566933,0.6013010438520571,0.5765746922360271,0.5352880325801471,0.6008560347877295,0.6222694009471604,0.7189943317346605,1.2352999471503139,0.7435600219055625,0.8956743858690641,0.6924250730614084,0.8418741290720566,0.7595954099389984,0.6478082339556206,0.6531423496538824,0.9459233156250215,0.6498689145348439,0.650527185929516,0.6170029059188472,0.9231225797570933,1.0717418420557,0.7579215124991054,0.8834662820665116,1.267055349177036,1.2191475538696683,1.1488118835744818,1.1985541574841525,1.602801420644244,1.2676391200877084,1.2632979828521986,1.53114731095406,1.6046794700329279,1.5801836058401888,1.508500054264996,1.2918091154286775,1.8351238712984663,1.2213110633903648,1.2470154231407866,1.5113821195216557,1.4811848654572781,2.26931241006639,1.9006851635711077,2.403085725183,1.796676173599317,1.7909996213540844,1.7019807565798384,1.6703229611632413,1.4477128903246375,1.2384874133628292,1.356000059494244,1.1710169036932854,1.1964738344396824,0.9874995022055986,1.1738442923274524,0.8544129687222934,0.8398186041646593,0.8386393894232463,0.7215160767117912,0.9639031765523282,1.1454809852009709,1.3759507192675446,1.605770993041642,1.869538598352022,1.8655361504303583,1.5561352866424631,1.8570186018979336,2.066962175810636,1.7248804976152066,1.781580742405029,2.1849751413265084,2.247035334069538,1.9118994805151102,2.1045487944536805,2.3625873341194756,2.2269051633919905,2.0099024910186043,2.161654766990226,1.9272623166121443,1.9589228735186883,1.802419730498775,1.7836858766724506,1.7614505509820837,1.4564311589291423,1.404884712940851,1.3921066952078924,1.293670364175011,1.0905630292895836,1.192139678206422,1.2089201106854504,1.037422969096747,0.9219808877164258,1.0029947350495447,1.0304800040830422,1.0565199339475106,1.158272544733935,1.1334435666606952,1.436995370001019,1.2552081093939258,1.1238897534897239,0.9668333419211894,0.8678441578799714,1.277412251157231,1.1925218086391136,1.298290833511998,1.587903439474182,0.8058669033481876,0.6698635382301131,0.5868754204122298,0.4870243668176421,0.7125761006679316,0.5085498120136583,0.5575553526720622,1.4467467532825766,0.4090898791610278,0.501349435855399,0.6000816983898389,0.39343845271176026,0.4185496262646403,0.6627081012140652,0.6384992543325375,0.6341694073829252,1.2145737999281128,3.0437938598578693],[1.7183861361009192,1.2345719303621185,0.7870714876665181,0.5213363575759912,0.44286951099584676,0.37287651918398207,0.3215394062242532,0.4228615932997487,0.3828066738561602,0.3962031058967442,0.5030790821339747,0.6044590078018796,0.5152597355722108,0.4893948943492212,0.7000378308494304,0.6560065496102563,0.5884586423616368,0.6860471489773123,0.7167237590352213,0.6498714059797294,0.7155703266820246,0.8715284471674842,0.8939266784909554,0.9194943962711797,0.6684914231170588,0.707091428626957,0.6224744851063506,0.5786508938833914,0.6022403046086693,0.623795199607088,0.7506436554156107,0.7576557651345733,0.8306749320861837,0.8103422787628555,0.7444599991688401,0.6864572914749402,0.6585762126784153,0.6132756849932802,0.557637735823187,0.5356283423056645,0.75500786207523,0.6659534812552936,0.6991768751278108,0.6890822902605024,0.9103807783346533,1.454850452931176,1.2374430673761878,0.796942195779166,1.1346120895264042,0.9956344568937964,0.8340556217967312,1.5752976519865618,1.0318435692277215,0.930578881273086,1.8077727860917094,1.06522294437648,1.4635198502923086,1.110129056957965,1.6861209538252424,1.1299411046985652,0.808851333249116,0.7886412373436609,0.7854971306573565,0.9241881940564718,0.7236971539640206,0.6999825657847603,0.8749885839348306,0.7916558681465505,0.8642531202565161,0.7859225776838303,1.004449768503465,1.3961433755334165,0.9966470764502802,1.0784711772762978,0.7931537123719978,1.1123312652574728,0.7417198570301788,0.8156623766253731,0.7750013819634707,0.7732253512781984,0.7855322773975344,0.7113156216975721,1.127696348776965,0.6819428625318307,0.6989179334869843,0.6479703932837849,0.6720290069607459,0.7486167183020926,0.7182297722376573,0.9034864360138959,0.801662528226763,0.9535011625597254,0.8676614592916846,0.8246245178041485,0.7831357693997327,0.8627457821755633,0.7849874546113601,0.7676814164499434,0.7448940827851527,0.8712417747939453,0.7399275767425556,0.8785831029145948,0.7226639438932424,0.7220389386448091,0.6975884249119271,0.6215688748239203,0.779289962812567,0.5557238092225886,0.5653120405224902,0.6949244671414838,0.47650503992891297,0.4272428679708365,0.37841589194987146,0.4170818783393533,0.46500368134866804,0.4609730723653032,0.5200559377783505,0.7122367354127898,0.6660610385409316,0.6992756859728431,0.6234035786472609,0.5630610466354525,0.5056335606947904,0.38311540661847604,0.3585843089496911,0.33728896400382397,0.4349817462221851,0.42307931293630785,0.4065133605372305,0.4905328425795405,0.4530529979430856,0.4717722559874886,0.47798395452482734,0.5865008032836803,0.5446190579567275,0.6118395944991448,0.667661094206879,0.6010439923265027,0.6718982507807089,0.5133609640158671,0.8182774767217313,0.6818682439102278,0.5480971539813639,0.4980653552974434,0.4811679408043558,0.5092269544946921,0.44440457468663985,0.5036532367719034,0.4718589047561072,0.5076371902463598,0.5540278674859129,0.6406066885321565,0.8917749245951602,1.6155055176379498,0.9922568871699512,0.7730173773304742,0.6902301991708157,0.6689009422310024,0.6082582944328606,0.6084018544281631,0.5091544667739355,0.5260759948841836,0.42445080479718444,0.4926058285667609,0.5665168471035078,0.62518184644221,0.5831847280401319,0.8946875134876493,1.0298166346445283,1.0434122153026277,0.6873024884813602,0.6491911270667694,0.5028848146508932,0.5092753324318826,0.5061302273823561,0.6136370324627616,0.62042218013485,0.9222475851440137,0.6216995264494785,0.7198942586869698,0.6853413767838722,0.5388113647995522,0.5326626332890859,0.5031006081332712,0.4830365356977593,0.5242945735264023,0.5426993449854506,0.6492085402975469,1.2569844349854835,0.7209710912235063,0.8945959770276537,0.6456903081004511,0.8407998067855454,0.745413809800047,0.5868923504964595,0.5970279872696488,0.8486529666741293,0.5557441599734455,0.5661438047267279,0.5523933719565345,0.846773957003029,1.0117751881204555,0.6950930180098317,0.8094771975296938,1.2090752043387596,1.183284358543487,1.0713933494731716,1.1491720653816058,1.5978147106565732,1.2584291284018958,1.2292726392781348,1.5429702667414182,1.6488993522010134,1.5058377722298282,1.5007542445815398,1.2354060591704878,1.8148341041181506,1.1600063443360051,1.1948864601667222,1.482176083307251,1.4786673629996059,2.0739407669625662,1.8628935883638085,2.3695858203918823,1.7352086394564255,1.718663352593899,1.6262298218501956,1.5759828431184388,1.361635857651205,1.1585218821159844,1.2623306576751248,1.0823859901727995,1.1245256114413467,0.8959075918448522,1.0718361527572804,0.8230638386881854,0.7788919948400242,0.7702125768550934,0.6406710312376365,0.8632876845501567,1.0550084250858245,1.3156846651661795,1.5346501426417676,1.807062850981555,1.7993596739091158,1.4989853124487393,1.807410294075058,2.021764063561174,1.6847579009948515,1.7466266475454282,2.1689298260443217,2.24817788654799,1.9248977792898814,2.1143343991389556,2.39948715242848,2.3000007378853304,2.057284910328532,2.206704815917359,1.9423499089905274,1.9534965088112062,1.7729656232351396,1.7399190825743234,1.742443238704942,1.4292923493518022,1.3450464542453122,1.3416600227141167,1.2506443182752216,1.022648105897344,1.1121628247313589,1.172300921654914,0.9647052175097771,0.8505598190317369,0.9170473202777564,1.000721072404055,1.0130577073884106,1.1615521858788223,1.107785026384034,1.4167598648104622,1.2341108722115226,1.035074386354989,0.875855987541163,0.762638634588515,1.1697750164803755,1.1444624076037166,1.3089038986111168,1.6560072667433539,0.7955874967971172,0.6106997553754568,0.516728450259652,0.44717001936384415,0.6473654070084963,0.45631411834691876,0.49029890483377225,1.4094042413236105,0.3843915099127855,0.40464162039372653,0.4842479720162415,0.3683483840244043,0.44227621018617247,0.4821850021532321,0.4966334702162264,0.6098001565666828,1.1841737041466882,2.933226145818804],[1.7311043123969525,1.1465144343867066,0.9028766289746633,0.5875453238003339,0.4637941987200529,0.4375606583032971,0.38343409334080436,0.5156803812082665,0.4375707572703054,0.44063022215899234,0.5704039151477721,0.7003021181065794,0.597151263824165,0.53235228702725,0.7781423818575334,0.7457749453650778,0.6291443766276107,0.7353111720180494,0.7415415180853595,0.7090383149944892,0.7469995621492556,0.8945052763684502,0.9022379864212272,0.9019249969401233,0.6770629626051267,0.7048777160018197,0.6429748057424103,0.6111558310752551,0.6559316068845941,0.7123992550970529,0.8550355354852004,0.8813695983820565,0.9915059926701144,0.9537110373649843,0.8818450033947735,0.7915320945684656,0.7590105412740319,0.6843903989484006,0.62732603311675,0.6299859260734924,0.8617885870545633,0.706424709281837,0.7558026343028496,0.7249302411809249,0.9241915310620958,1.4457605147498973,1.1907237665690233,0.829826879838827,1.1540801889819061,0.9815880051346494,0.8890077110157423,1.5449185571493622,1.082672055731721,0.9913572538143405,1.8488306339528333,1.1581542708475117,1.4751666318856984,1.17247417666837,1.7801350049481262,1.1884124334303818,0.9206898966500935,0.9103889709709487,0.8848964968837375,0.974552981844117,0.7908580430476048,0.7726930545810077,0.9413936353717324,0.8631230372303182,0.8892983916633049,0.8326889469429963,1.0127339848522083,1.4358592131593593,1.0359399464156993,1.1127918152668927,0.8757696759850889,1.137418368454387,0.8400198247493306,0.941793118308579,0.9004781611197108,0.8767859650617947,0.8751478347179779,0.8135333939188647,1.211925734560982,0.8548954882731697,0.7244864042845685,0.7361085064691644,0.7679708386977511,0.8672323278275316,0.8211968071313099,1.0206337078276075,0.9085065392294274,1.0548927374679216,0.9896516054235573,0.9582120528647192,0.8998721988244264,0.9777160847054132,0.9014590960307086,0.8992101545579105,0.8664241593452296,1.0061920941811053,0.8903193732296657,1.004382491602416,0.8756291202454021,0.8488682567711452,0.8425754409096761,0.7641699467736385,0.9387178224088475,0.7282169185028254,0.7308939673972914,0.8440449158301274,0.6196562597070223,0.5453896862036762,0.4730599574924455,0.48059427749123057,0.5055414093051287,0.4672408798974264,0.5349811171789124,0.7169996099319588,0.6574707626682378,0.7269535479630732,0.6261153903157499,0.5645863455521464,0.4979825882196509,0.3928182320040886,0.3923336699032821,0.3711858377161135,0.51562928740623,0.5165317476235384,0.5385876713015026,0.6424638691148182,0.615500828755304,0.6313510234165142,0.6274630342918583,0.7340224758965548,0.6688249651214448,0.7252968124483284,0.7748084143349225,0.6991429845251813,0.72829354715338,0.5493506326399795,0.8075457827577746,0.6766518880666514,0.5493833796716155,0.5178803522524227,0.5196201497671503,0.5647409600562158,0.5022161461756997,0.5855014092560117,0.5787252264186002,0.5969477383561679,0.6748953072280715,0.7584041993854552,1.0507681987853643,1.6694971651285884,1.0534099616522283,0.9062710324178522,0.8027499050083245,0.7859912595504432,0.727833306846961,0.7137072506841553,0.5956291882984175,0.6088481215671622,0.507730343811566,0.5595142717652926,0.635193604334147,0.672382553448238,0.6732606625956196,0.9568695484941798,1.1062601889674726,1.1160655511784936,0.7896258193838682,0.7503286024605381,0.6232788216769956,0.640192463427726,0.6305808592613393,0.7376345220084288,0.724694730991745,1.0107592396181437,0.7441299845104796,0.829705193504769,0.8152922785171038,0.6720727587829564,0.6624840671288376,0.6437155953039749,0.603666180606699,0.642508085117359,0.6261935532999395,0.7130633805973161,1.248071127746099,0.7572807187107108,0.939202678506967,0.7086936713371145,0.9120139293323338,0.8338388094843676,0.7265528604859401,0.7458101493975896,1.0070012540118367,0.7554342722790068,0.7535612102874666,0.7442923914466343,1.0723801291947883,1.226608936568067,0.8788225916625855,0.9790236718117538,1.401518752274945,1.3251544236694615,1.1523560093283596,1.2756566646709238,1.7512626679881342,1.320627468911979,1.3005369931400725,1.6339985585027714,1.689093134686834,1.526053476780736,1.5423825648469214,1.3037266399827243,1.9110482548772665,1.2810057214889052,1.327898716036374,1.6438483380379665,1.687204459139817,2.3398273832716794,2.104039415391032,2.5851376254538634,1.9837150186500832,2.0148710672557475,1.9092798320644133,1.8783018959284374,1.640934622965134,1.4019269561704484,1.5053344362536383,1.342657559488055,1.3351699180038332,1.1168768177215163,1.2229342938999512,0.9984232862110088,0.9229451448846916,0.9042858952141118,0.8279671271635519,1.0997752209709823,1.3127587132073084,1.565508855027899,1.797072301709003,2.103084140108518,2.0612527305750357,1.7409845458154325,2.086807454253044,2.290318889394264,1.8943840811252415,1.9601347562066154,2.3984311079489546,2.443768683613895,2.0861494432037113,2.3267926404155235,2.6179741172888775,2.433018264394764,2.2177375774473824,2.4198645311018825,2.140152109962254,2.1947657906635585,2.0157947178355315,2.0090098301675745,1.9797857539132737,1.617411141197239,1.5803451088582574,1.5668933830927199,1.433019185558886,1.2086634165868897,1.3377672269005447,1.3233822792171324,1.0891230427380516,0.9954632434380966,1.0658156950192963,1.098114907394175,1.1094423258812305,1.228017002213701,1.1565427297966648,1.4459300418848058,1.3538235783599175,1.142309316665542,0.9621798417495813,0.8514534347961586,1.3087053548953111,1.2310582242955461,1.3537842157237852,1.648176190109524,0.8370957615166347,0.6748040383673466,0.6734275707303935,0.5518820195046527,0.7439871689680175,0.5992556411646062,0.6204708786814003,1.4948359029860305,0.4904807979262018,0.5366778280976595,0.6307088496182521,0.4970785625844352,0.49862666456351645,0.5722016519925683,0.6002874500108974,0.7588339336422152,1.3548921614161191,3.0253814526401364],[1.8774128262587442,1.3774622128239191,1.0778960616182156,0.5956262556862758,0.5085560505692777,0.6006297109017124,0.5291710436505328,0.6369430609837073,0.5422760867817029,0.5345499237913652,0.6196669444704793,0.7361057641754266,0.6395616738949208,0.5995315537248403,0.7941720672860813,0.7651929610551307,0.672728401919464,0.7630017411991408,0.7868526563546872,0.7456185789723805,0.7900777215560205,0.9137486486056318,0.9727168739597026,0.9685703171259488,0.7305875243784857,0.7602384763436595,0.6977647603339878,0.6662525745897119,0.6884846580789783,0.7391950794640705,0.8623595794155237,0.8883154401096832,0.9817908041182811,0.9438697848249173,0.8719855281831944,0.7988365707573165,0.7768966730447492,0.717765349343695,0.6747596021131901,0.6809008452068478,0.942499057892537,0.7494355766137448,0.7864049624642847,0.7518310344898113,1.0610237861620138,1.6306940544662516,1.3988144122132702,0.8355662111480757,1.22368849967735,1.1153177459831334,0.8608936381747335,1.7010062056149713,1.1382877907811155,1.0517405940169913,1.8423774612445618,1.1336206824849415,1.4985256628532815,1.190281475701838,1.7657132118212617,1.2021200484635632,0.9434709188847751,0.9165859303679752,0.8927565374018872,1.0055806696127745,0.8195285281962347,0.8021886818713851,0.9877408821973471,0.8892133492136287,0.9516114326798756,0.8754901277047694,1.0691855813296682,1.4825803651265603,1.076651003197236,1.174116269352597,0.9009164453395627,1.1881832285727876,0.8536044704788744,0.9491117869860831,0.9045521030902992,0.8839996981004273,0.8705966213314295,0.8395551779100586,1.1931559646730874,0.8428578572638518,0.7558382824085411,0.7534857620591328,0.7838285439551005,0.8769225345282352,0.832332069094015,1.0176315455909182,0.916321977827951,1.069951982984574,0.9945511319296209,0.9541121276597239,0.8985310303533313,0.975080073876801,0.8981788055383964,0.8952416928555909,0.8756280002813304,1.0262074956286704,0.9054113990960477,1.0449757646406879,0.9116646671263375,0.8876321693295296,0.8918405268445389,0.8462963421875005,0.9964744711966866,0.866401774191756,0.8895581922017152,0.9415312204809262,0.7709339313131622,0.6520867302076094,0.5925386991848021,0.5905349719170331,0.5851682946336618,0.5257376008249223,0.6002822589381435,0.8160802230942639,0.7179994514803969,0.7717945017910378,0.7065894141125223,0.636452919911758,0.6074499472051517,0.5080091696088896,0.5165655757334153,0.5125241828489582,0.6559136493818196,0.6636247780377541,0.7021949288874761,0.7871768584886996,0.7796017141858285,0.7573144989344772,0.8003149514764676,0.8471477381893637,0.8457525115016541,0.928005929453963,0.9579342738373128,0.8750953760555937,0.8824517155684353,0.7139333014344618,0.9744562335623996,0.8397831909595507,0.6391893083674542,0.5982635339872955,0.5959414644191295,0.6354239822087171,0.5868800121187598,0.6567514312270395,0.66434048220136,0.6818921800655646,0.7693763535426321,0.8371346983000492,1.120585328081459,1.6745033237493625,1.0910183729282537,0.9424850835423632,0.8433467455820326,0.8315672347671212,0.7713969786635829,0.7811438971216024,0.6886944272409492,0.6665744244629933,0.6157380278568546,0.6277774920250563,0.6873954799176154,0.8510166445576033,0.8317128228440198,1.1815473749387302,1.3352743310668524,1.328974373246676,0.9862205134059442,0.9290364118785359,0.7524110918080794,0.7410693430550308,0.6873903050622673,0.7722016106533773,0.7510423968749527,1.0012776558569068,0.7736239143956062,0.8266682524475807,0.9176217454732821,0.7480907689406888,0.7474237606286034,0.7521570918006119,0.7181562367374741,0.728871178758135,0.7087402562716977,0.7579588293901074,1.3466047269767727,0.8262678019493701,1.077851520950846,0.843443764711425,1.077577883347327,0.9977889971262229,0.891670759478335,0.9201581842549739,1.17175285578184,0.937326346128779,0.9496276961015514,0.9178012492273829,1.2965392937918212,1.428842925880199,1.0816218776635749,1.2189879900620304,1.651437754072806,1.5656852200641311,1.3942696313629515,1.5542384766209882,2.03424360281175,1.6029969209922172,1.5830518273303908,1.949419960360521,2.003077892796034,1.7497975326501407,1.829205693746542,1.5804551473153698,2.2325259489295495,1.57621230635995,1.6313477020411273,1.9809673095077867,2.0444243564595004,2.571958248940962,2.4340436199853204,2.855696152257156,2.2738549048246743,2.279358481157027,2.1255593660868817,2.079700822777019,1.894045497894139,1.6544806029377401,1.7079468994473594,1.5910105287412584,1.5782013191754598,1.3503589778370673,1.3685545973467539,1.2264708958557247,1.155297081041084,1.0642615376598499,1.0455381858344646,1.3020453823665605,1.5086082481436727,1.775180632600508,1.9763775351052644,2.3175155977140647,2.2195930970832305,1.9267352754230491,2.307656324558075,2.476986831040014,2.058710571935294,2.1792054136267627,2.6234063177113995,2.656776402615727,2.3338041417749227,2.6085247171126262,2.9036858084721984,2.7255050012705926,2.5442214442202418,2.758769477961082,2.4674385949411235,2.5033556199853124,2.288832800236127,2.294735054919147,2.2998800741242524,1.9186222048355148,1.8634190247763045,1.885563467402393,1.750551549758895,1.4792443641679174,1.630697094785414,1.626885359809538,1.364904360483152,1.2314020568845248,1.3164623545595664,1.3277745942723314,1.3157312003031811,1.4674315351103535,1.3085959281305564,1.4552378384790856,1.5618071845625607,1.2137297163450467,1.1955621735317778,1.0658878863465744,1.2392204105009141,1.1803353026806138,1.3026585519482383,1.4669297421205656,0.9160649061351109,0.7676786197132075,0.8450460890873938,0.7248315967786872,0.902061041546349,0.7530800455015118,0.7955898374932203,1.6258318694710572,0.637165750138326,0.7252355078649373,0.8291329155206026,0.6592614669874086,0.6704692864786056,0.7590020287909854,0.7914949346329424,0.9309499928389745,1.4665955795681584,2.9531423630244937],[1.8272726046831715,1.1433844263917365,1.049240822289317,0.8685688053070443,0.7883386235442705,0.6464623188028572,0.5961367085943615,0.6843363592634899,0.5959235212033905,0.5809741522592707,0.6712038909614554,0.8088485313319755,0.7184181225739572,0.6409418647277912,0.8685523189400352,0.8368927953907135,0.7281763778986301,0.8206805016730868,0.8046242646044123,0.7828745732187035,0.8238034443421052,0.9734052471534353,0.9622965174897967,0.9572598445282903,0.7536401801372965,0.7824266884382781,0.7208914128479735,0.701748160409277,0.7516472772587665,0.8266959162437282,0.958167468514726,0.9998105244821076,1.0864923746119366,1.0752027921576461,0.9999367462132887,0.9018458506185357,0.8870145562981189,0.7945396225659404,0.7310462363989296,0.7188035444632717,0.815266546223364,0.7798942609729915,0.8382576626815941,0.8290802497155891,0.8444681403062261,1.298852394595226,1.0919755784441743,0.9405325823314021,1.1409799970857624,0.9739050058969044,1.0585588820288454,1.3511347470775683,1.1680781065711872,1.0716218150441283,2.0423071823142194,1.4075194220566063,1.6095840871787084,1.2872796959758732,1.8798209808818345,1.3014759102857822,0.9538840815500109,1.0058233129184404,0.996671180172441,1.0135671738714898,0.8751207609664776,0.878964803249497,0.9629522956353113,0.9192959714268012,0.9616350023361039,0.9007348239491881,1.110942739052263,1.5024516575584868,1.1104482926633843,1.187620813014022,0.9714324070891658,1.2566735337171426,0.960356230489529,1.077068871644606,1.0321369860774545,1.0040560829131828,1.041943744147614,0.9558814043388141,1.3569147897685079,0.9858349767707937,0.8622825589831201,0.8990549971538,0.8975213538530221,1.015908465878146,0.9404449951637041,1.1588436438513154,1.0278453901475983,1.160701958776135,1.109446657813532,1.080412322971311,1.008225215990411,1.0696151773075848,0.9894065457143163,1.0147420176348414,0.968246691404435,1.13931245721652,1.0172046605428822,1.1914839351252422,1.0373117121423192,1.0482115122021847,1.0182172057796806,0.9560323191352816,1.138667256256778,0.9042385277790412,0.8980968173137865,0.9919624543704014,0.7792329868478352,0.7211284792569069,0.6463003706195837,0.6380140383560164,0.6439381225551499,0.622418484075927,0.6063009396061524,0.8107817448417619,0.7227038637388953,0.7669997213363073,0.6834071928179752,0.6252743811535839,0.5748190758440634,0.5517269248394977,0.5741346561300701,0.6040616075115114,0.6727737884854971,0.6982834280557284,0.7245062561479806,0.7899195189991296,0.7654869328574267,0.8256264817009374,0.7569293713159402,0.87312489918408,0.7307950412174409,0.7414274142562594,0.8369133108530643,0.7612295376329723,0.7860766384927507,0.6012616711470266,0.7626649487041564,0.6828841267642645,0.6394085398336747,0.6087570608221957,0.634343299208731,0.6737475714744469,0.6134309750843429,0.7047816343760325,0.7100132492765483,0.7504618283143404,0.8319496504327396,0.8938606973054489,1.211532804055974,1.6182938450792521,1.1513287611930052,1.0557157444029739,0.9376402192033365,0.9587940542916326,0.8702771060932956,0.8947759608728916,0.7339526277330539,0.7425594892206598,0.60435395265694,0.681309073896342,0.7525245543968373,0.7412807892607421,0.7426088034784005,0.9578424973249993,1.1133917273447744,1.1025371330560805,0.824906700569384,0.7669880075366675,0.6995634771050563,0.7335032415906753,0.7766313878311941,0.9265220003489826,0.8926716183634545,1.1921492635141333,0.914637336282926,1.0312263232989738,0.8687651498062281,0.8394275414813076,0.850163056700089,0.8275213908995457,0.7694535775737272,0.7481406486975563,0.7098703444328738,0.9091903690465868,1.2583743658746152,0.83077031275848,0.9515287721226936,0.7917796623735283,0.9763083493782587,0.9544090258926886,0.8173484984511962,0.8863018494090092,1.0686064262890234,0.9191906665596431,0.9260067104553041,0.9184283101563786,1.2174848248431582,1.3412280477096177,1.0049402435423878,1.0845594175101483,1.4876878860512508,1.3719053021296108,1.1587148838562022,1.337723866376491,1.800023386879752,1.3302206759234456,1.3310994683700639,1.6620152299118134,1.6675963388111963,1.4811921509634889,1.5635814543988975,1.3769319113686955,1.9480664455212702,1.4179410781128725,1.4299892625810724,1.7503769705621688,1.8549337859513428,2.5699583736260543,2.27453035009215,2.6697082808738113,2.0929700497405985,2.1563145784539377,2.072950619570084,2.060815303399486,1.798798114854544,1.5458943707326844,1.6824980114732215,1.5193048960767481,1.4851534852497965,1.2862392992027973,1.3797127811248016,1.1923654830212296,1.083991365313255,1.0738606370616612,1.003590282249175,1.2066487323626107,1.4441705699190313,1.7081719568260858,1.9242397716355306,2.295228911059827,2.18565703733344,1.8570663705847406,2.2341142994820857,2.4237147031441415,1.9871941541787295,2.0396225032825255,2.4946138247625522,2.508688218796792,2.1342076842874604,2.4246724627958383,2.7299847259092687,2.468855091915555,2.282804553339711,2.544200049212233,2.241254687273597,2.323216812910427,2.130368515630134,2.1488676666504536,2.118271143515869,1.7083062977632764,1.7078854099491103,1.7141131571915273,1.5604630289436119,1.332405297367001,1.493236760895012,1.4825353162103738,1.2321458919012607,1.1679214710469277,1.274068991118931,1.3520152435390715,1.3347911707091349,1.449882318125736,1.4267800696767463,1.683454568298689,1.583811068922119,1.41994909277713,1.1334853536534664,1.0520403782604604,1.6524787386823527,1.5256260506581338,1.6207326736118368,1.8782228614155514,1.0485414360461067,0.8945099372847107,0.8391594522317244,0.749637192945038,0.8729970141636927,0.8411089169526988,0.8990657689799472,1.4402142961891777,0.7853541076553467,0.8161400042005674,0.8605601311685026,0.7355202592293341,0.8028459640224723,0.7990064060624975,0.8207324553928392,0.9503969910861475,1.5436808474613355,2.845893124454837],[1.8574995077036547,1.147892912061505,1.1271752034547928,0.9017374161223902,0.7345227912913976,0.6266116004463234,0.5828325558433051,0.7115034417347068,0.5960517253815957,0.5699173771247862,0.6593546015807602,0.8093191553433732,0.706549098886557,0.5912938561912434,0.8328125703680282,0.820351442016932,0.6928925200074963,0.7578238840247712,0.7502896405307296,0.7291304406147661,0.7346260194181129,0.8951268225923528,0.890984872558019,0.8697583723140176,0.703206693347994,0.7261303048869213,0.6642484222903751,0.6539865055732588,0.7098609055442944,0.8101669067996908,0.9177175392446686,1.0124007268136617,1.1570851665321218,1.098517762844496,1.0291633635475612,0.8706453435171653,0.921873028401719,0.7854753407424627,0.7108648893761456,0.756463666775586,0.9084142506989554,0.7442908559544392,0.7970539694336111,0.7803396095693877,0.8668919316316746,1.4025714678961634,1.1765330009714976,0.8855844124143832,1.1978521238733049,1.03517420334335,0.9834540835992849,1.4862245467427773,1.1585132784030705,1.1217891321280395,1.978417371589129,1.345633280902015,1.50985340743895,1.274720274590034,1.8994342781175164,1.218065333051649,0.9653178604050148,0.9577891274417338,0.9452962339731308,0.9541247939072713,0.8073859166155244,0.8140412652510625,0.9542640045891522,0.8510630229716813,0.899329607996332,0.8343154631382476,1.0854349647532813,1.5526908395038452,1.084122663648766,1.1330292945797882,0.9025331827010535,1.2831296514430472,0.8974265086504306,1.0549963872891095,1.0009359879420312,0.9589952753084975,1.015000610629356,1.0258155500612958,1.2988180061445844,1.0932586404597486,0.8584009871680464,0.9113961088960623,0.899304385194051,1.0653480006258977,0.9122248766042337,1.1395201358654334,0.9940218809007806,1.1366811150395475,1.0642752625776526,1.0593208833425798,0.9831382037759718,1.0438145861405028,0.9539736408684567,1.0381255487710366,1.0240711018887745,1.268530644496082,1.1293971394325821,1.2638213032793293,1.145208440369994,1.158666668915559,1.1381065067491298,1.0735769532589368,1.2443629761986246,1.0803328874931775,1.062259524850948,1.1430122648524759,0.8988332589809326,0.7558051711117973,0.6570194836812142,0.6130654057042827,0.600936071064898,0.6096188375961287,0.6245518337061183,0.9199750955900626,0.7649360874007984,0.7541401162807232,0.7048012628804892,0.6533476664316074,0.6615294172185795,0.5621558511317498,0.5380702839566143,0.56621684898482,0.6727041711305338,0.6853683337855186,0.7934467286536447,0.9128970794707795,0.8736539036434187,0.9299139064620177,0.8745014314190813,0.9786282939751808,0.8490780592503785,0.8660688932585198,0.934975298192353,0.7963359253250177,0.7981228243331755,0.604942456247567,0.8110337463890148,0.7151302523569149,0.6419849139053871,0.5900882645872892,0.6097200644624008,0.6444681260743685,0.598789303141947,0.7045133419800405,0.7518642835917442,0.7532739955709599,0.9090383309750862,0.9774590993334141,1.3362869256563503,1.6968143411548047,1.2714278160011006,1.1802738120666556,1.0243617113902004,1.0378617834195931,0.9312327753198119,0.9400047511272798,0.7866778611337304,0.7465334135634992,0.6211026583662729,0.6974963356432753,0.8188411392694683,0.7588629558073574,0.8179056530930957,1.0398304873114002,1.2074968342549266,1.1783284585355078,0.8956873642065034,0.8312880827389435,0.8012624072596023,0.8151274160359199,0.8392400192633344,0.9724137974438039,0.9285654259307546,1.2095570489940755,0.971786479186254,1.0998840561501728,0.9862964232279254,0.9274106158365252,0.9408907903305977,0.9218305313239552,0.8241247499870797,0.8442833863280054,0.7824048317093198,0.8653242195132627,1.2974731625889002,0.9013845274484196,1.005627882415232,0.8728422649151479,1.0412216225780975,0.9994044107388675,0.9615589845622344,1.0178097071160446,1.2167953176617048,1.072177338636065,1.0626570846753005,1.0783294130584475,1.4575079261034707,1.6095816141317254,1.1977662567704213,1.2778155613282736,1.7592056912760239,1.618805058281157,1.2945735704544195,1.5334714343730982,2.1005482864989338,1.5093152360081186,1.4748363595577556,1.8746868642517005,1.892307902651184,1.5577502045826246,1.6664838595469509,1.4559968418217026,2.12788163727768,1.5200098067712888,1.5843444410668102,1.9604093086997414,2.1185647757018926,2.6578031584257125,2.5539373906500553,3.0813960919234273,2.433469044698052,2.5295383051342673,2.4211441882903073,2.3883045663850977,2.127090578612221,1.8241154387143859,1.9158323243192485,1.7932178630842852,1.701262601978665,1.4951428894102148,1.5326035355896646,1.3943569329713972,1.2484480437852423,1.2144224993886354,1.172355274530772,1.4714109435513154,1.7305082975893928,2.0223888982129576,2.2683701970216887,2.6937897077300175,2.5338255311960998,2.185687005183749,2.615585138636174,2.8120145424825296,2.3050926311405933,2.380862240735756,2.894626107554268,2.903265129689089,2.4746660995228367,2.8226553699828587,3.1595449123921098,2.8612159761720144,2.6414906889811243,2.9317622813980306,2.594218209302655,2.7046484677134637,2.499450391977451,2.5245770956127744,2.458350336651406,1.9958021405569055,2.020119631456654,1.9911807003832416,1.7914245150432522,1.5482369298101724,1.7438252564485435,1.6702341403424028,1.3780218481166024,1.3224109857070359,1.4129233113207302,1.4362637728834262,1.381719906967766,1.4709024676500988,1.449797529929032,1.6851069501469158,1.6451584681758553,1.4476794997940798,1.1836395098107677,1.0822022426715514,1.6849328043261822,1.5257369141382904,1.6162661346908116,1.820530494062528,1.069071295216183,0.8813800000765443,0.9353692306949115,0.7883819050136963,0.9169781665311276,0.904198936515129,0.960669031754623,1.6405788116893008,0.7585455856747466,0.8000213958799453,0.9411096660763852,0.7512557876781878,0.7555985670570518,0.7921833018704778,0.9091786817058394,1.0740457894822775,1.7163384399039545,2.878783190266747],[1.8776742506586133,1.1913202309960498,1.1677038793084933,1.0623531280317213,1.0135552411143225,0.816739923672593,0.7684210232639097,0.7944588313354812,0.7174289283540543,0.6738964160481951,0.6989439405489349,0.8031715641781683,0.7306002165202992,0.6400351370284901,0.8129809554241657,0.8011128749525983,0.7452377767513607,0.8016801073740998,0.8127448241446074,0.7477012475435455,0.79927536521583,0.9857350057864026,0.9455060181316203,0.9557088575041814,0.774351885144729,0.8218575791437736,0.7561196306634793,0.7493235922255371,0.7744292288599598,0.8225888998654929,0.8744638634129507,0.9522386811512246,1.0135605560116037,0.9769796055622451,0.9315353869277418,0.8495703755437555,0.8836700305758024,0.8116493653497486,0.7451989997125523,0.6913910675727956,0.6713713125719449,0.7748046424857074,0.8295797738759481,0.8445617119753077,0.738409513221532,1.1970082047385213,1.0348020129688376,0.9556742217851896,1.160953810690934,1.0092062120369758,1.0634859388835045,1.223111118689614,1.0788270065769838,1.042784153998175,2.174971299484267,1.385936708868406,1.5102179528700086,1.273097904265274,1.9274245499567135,1.2660715418221333,0.8426006067648725,0.8554165540144002,0.891960953702954,0.9411037320433218,0.8279183889921276,0.8430428146853297,0.9159250083481623,0.8543749575733454,0.8873486793127375,0.8464722623818856,1.047711439014219,1.4292525221953862,1.0797427569430964,1.1290410469415861,0.8824408592144486,1.2152855464155274,0.8593361892989768,0.9458755639378784,0.9277023662136327,0.954830104058212,1.0252105376141916,0.9484527707044084,1.266554893537719,0.9362488466490364,0.9278074023310987,0.8995046778575846,0.88974658192914,0.9508867397040713,0.885884409307921,1.0621555666933211,0.9390731302521238,1.0647860552965955,0.9869491360933905,0.9641173719925755,0.9084248685790891,0.9765770387645039,0.8767809202646167,0.9383426817224567,0.9481383185734668,1.0920531695738807,0.9862647800376426,1.1774398632323333,1.0005420608345796,1.0897120203808515,1.0598557078449578,0.9895169692308844,1.1555953559475636,0.9367605807628924,0.9527223423142258,1.0166330170893065,0.8601134802682144,0.8322637535957416,0.774838243582163,0.7590932493126031,0.7253890198162197,0.7721214851136676,0.7272451458882968,0.9045399698309265,0.7946096661421466,0.7821304201598716,0.7372195430485892,0.7036965366836498,0.7144628840684165,0.7017742232390414,0.7035353909595448,0.7673046546440054,0.8275423199659633,0.7932340443385085,0.8100902183470173,0.8293044388957325,0.8375620042920721,0.9357900763599362,0.8029014904825978,0.8845176745874811,0.7175565873255666,0.6820831580610911,0.8664421858794433,0.7371028847580733,0.7945378177244488,0.6701885197449257,0.8295690275939385,0.7549915155399209,0.7273069480120095,0.7078216358381967,0.7229616322951083,0.7030545347018876,0.6830308337639207,0.7357519161565856,0.7759785598139788,0.8328769448730808,0.8806380398688105,0.9354422429061627,1.1328849500789868,1.5289451811001604,1.136877118834436,1.0365194228474963,0.9444715644162701,0.9824891386075663,0.8749884026074247,0.9459604415677472,0.784939631302912,0.7712646638889006,0.6737784556869579,0.7569522380165833,0.8385016219251381,0.7941082376845446,0.7726652610369825,0.8899126091966887,1.0334399341420726,1.0069305287398014,0.7783380926808228,0.7268179066101151,0.7093373047633712,0.7099659253381663,0.8015669102303924,0.9460199624027426,0.9007500448300736,1.2558715441551216,0.9304066309420495,1.0981828357905727,0.7669639196939277,0.8639992867253592,0.9055489556081078,0.8687340995942278,0.8131757979225943,0.7958989232132507,0.7472951741077546,0.9858272470536648,1.3428398715189922,0.9483431521462357,0.995993225876242,0.8651311188687151,0.9339442689739564,0.9265881640525765,0.8281082825322961,0.9323618558326083,1.032499243979727,0.9390534870913428,0.9543356754656831,0.964242019625307,1.1515718272504862,1.261538535457056,1.0043552759402954,1.0448126462006029,1.3981391930994138,1.3120436445829047,1.1256587481280582,1.2742298569023411,1.7235739717127132,1.2943842415174491,1.2878656899254395,1.6233484828492903,1.6644423763887473,1.41745708707273,1.5274753549579982,1.326683329875616,1.915220477567319,1.3557821271121286,1.369860827380246,1.662471561653226,1.754380157162132,2.335141625844682,2.1494124566156616,2.56675451643482,1.951307632432068,1.9878333767699183,1.9317964926339815,1.906049455641883,1.6663879495948932,1.441973006926582,1.5875720575096497,1.4013291829989374,1.395716547294268,1.2305731548353576,1.3456838362612853,1.2103439364711641,1.0743240029841437,1.1114310958963274,1.0082846520116615,1.106175368338624,1.3148940265788809,1.567397105393128,1.7608390631143702,2.1008075204462773,1.995311419253972,1.71558778278172,2.057513976580759,2.2279465607313,1.8642987735033263,1.9114746842903485,2.3508406908552066,2.3954027219421015,2.045994294300696,2.308255695459405,2.622018870786267,2.4444585996899555,2.218465432348189,2.4360419752144433,2.141174570907383,2.182802599646965,1.9932839366046773,1.992982580954251,1.9908822273671545,1.6160031637398984,1.5854117783559223,1.5888335752439178,1.4627750778216868,1.2587314045715812,1.3729017956866396,1.3987308396786444,1.17629296479001,1.1359402599738002,1.1945762006572829,1.2823756777861826,1.2868128713642522,1.3650467529898105,1.3924204451959472,1.6762170121007132,1.5562064881806097,1.4264317707423089,1.11956403135929,1.062429101298071,1.7162258356428541,1.626387853352314,1.7271412018158936,2.061570318267739,1.1539561606879642,1.009047463199332,0.9132343725209546,0.8507480985299569,0.9184621349196863,0.92776802014441,0.9732788342749191,1.3746467287639157,0.8863997472025982,0.8982997940489297,0.8834756738066069,0.8666600864961927,0.9789763024731482,0.8585881085402669,0.908294183966442,1.0015725261387651,1.5023528047770074,2.6363113355963894],[1.7013843920501894,1.0572982030268576,0.9354948853303309,0.6543768238382108,0.6368181353633889,0.5356332867824783,0.5267611952393421,0.624304625190995,0.5603972434626345,0.5421659222561289,0.6414944988438757,0.7520977428573137,0.6639543726440891,0.5643783231648367,0.7971700833136915,0.7698794535321664,0.6829060891243816,0.763904207331867,0.7602281659965896,0.7113844818813984,0.7547717305779459,0.9603515892629438,0.9001551269465152,0.872385205264298,0.6902123003399248,0.7414032371553291,0.6742556127481804,0.667041531045104,0.7109258345067369,0.7693037774926769,0.8535729044406686,0.9137986813126614,0.9891499808615328,0.9560342716319433,0.8999770974735147,0.8167152369750257,0.8315345465135021,0.7482444750929345,0.6590176523306533,0.604203824756265,0.7296030585375558,0.7174156101170179,0.7787142755605904,0.7816444215468685,0.7320150242072595,1.221031193788897,1.0126707871647873,0.9179209824211676,1.1705262166095503,0.9778175564338591,1.0186893407734212,1.2613388128929457,1.0494863752377204,0.9986529550022991,2.0944633944907443,1.3365904483800692,1.4585382485617266,1.2494794943260523,1.9150792871269036,1.2300545800236262,0.8470074851280356,0.8633194667747542,0.8698406048399228,0.906677668484258,0.8036926399194392,0.8131307488797875,0.9176933625929269,0.8392375859754299,0.8490268791995996,0.817045030339135,1.0028465706899914,1.379773557496592,1.0452899211254942,1.0791981918936198,0.863557268560068,1.1536260873869435,0.837864540676967,0.9215404876084936,0.9029801162670458,0.9106194880152426,0.969149667738948,0.8945724714689115,1.2022934299199757,0.8667580940773196,0.8212711220394867,0.8211001090357262,0.8375807469104399,0.9176901214008711,0.8543343550326878,1.0357181239455353,0.9199342357966418,1.0350985459365913,0.9711668812887391,0.9444363796250249,0.8914068835796292,0.9614694847587086,0.8696289407001075,0.907541758161132,0.9037689548650115,1.0351899321031899,0.9251902569727136,1.0880956784697562,0.9292330513408139,0.9659527822724224,0.9282399488615003,0.8477091727664375,1.0048521760207,0.7771492121443774,0.7862045229791319,0.8822279395400907,0.6866284982013922,0.6456188429190085,0.5919794265258712,0.580206100433544,0.5956114309018465,0.5950153267014258,0.6041247837647687,0.7206810737962942,0.6712334012357714,0.7173089848072863,0.6376664466047955,0.5872797256914856,0.5194478234511712,0.5149857222970641,0.5078683183404478,0.5105104110965863,0.5890367009694163,0.5907009671594061,0.620295792724567,0.6806765595443892,0.6653254885880152,0.7295186675026439,0.6515631105891612,0.7496201458132361,0.6297054929998441,0.6462329005079772,0.7855844579973769,0.6540430242227858,0.6750584795788944,0.5082787413789445,0.7291963253598539,0.6153953185192952,0.5714647112907285,0.5677457501461348,0.5948644789787909,0.6059910287628183,0.5600059683851054,0.632945719180643,0.6581772138009688,0.7048570779564567,0.7499402529059056,0.8288994258821651,1.0372419547086675,1.4996110324870344,1.0686582675331715,0.952139410980834,0.872812870293698,0.8741206792801941,0.7924905708631619,0.8219733143865544,0.668431592704413,0.6680943198090706,0.5392075403545817,0.6394048471818355,0.7429938407481845,0.6469568667570323,0.6898485534923645,0.8773350423568587,1.0523732993524677,1.0349450802233315,0.7354316412870597,0.6661409817043997,0.616171764929643,0.627641369224172,0.6979934097548736,0.8316114252715768,0.8081350758371837,1.1544764358316602,0.8332824524365066,0.9847562832285282,0.7200310556850197,0.7377618955742526,0.7603977399629201,0.7331767933285241,0.6744559407315983,0.7000497298693878,0.6731306366238625,0.8432883584534329,1.2379876135807646,0.8211494463772527,0.9033285463527992,0.7529424966562118,0.8721446781897322,0.8187227586550191,0.7322860674233287,0.7746305144392808,0.9957072069698897,0.7919122681327734,0.7864005449682341,0.7904259732866565,1.0519213500949156,1.1824787426409673,0.8712461209156701,0.9478467829708567,1.3420520292301628,1.2598843424800161,1.1007246563668673,1.2242490069988137,1.6747159268811946,1.251173144718531,1.2522834349094745,1.5765639425853581,1.627391966406351,1.4808705584327604,1.5007899860640328,1.2825645531246423,1.8747665035521857,1.2738216045555866,1.2955471174974345,1.5887138859631242,1.6399878131999888,2.3074006408477588,2.040878633568091,2.5007979277112633,1.900340525385805,1.919796863000834,1.8488564221486279,1.8205728837878932,1.5852656282065531,1.3604087944727103,1.4870710615394582,1.3152153384851175,1.315436218781553,1.1148675373617878,1.2409186243546113,1.03431149880338,0.9524960032224463,0.9569957787743745,0.8514629885809928,1.0564443827456274,1.263990129413048,1.506658770648978,1.7065114973402564,2.005250451452013,1.942155001198871,1.6587292257540285,1.9854701882997068,2.1637129031395426,1.804948671642567,1.8639136970878123,2.287794710986525,2.341961449758176,1.9967578878365682,2.227908225956233,2.514021507120958,2.3597273939706915,2.136570412983182,2.320446089538656,2.05571908353264,2.095864753487868,1.9234849451703453,1.9144460542743151,1.8983578916266655,1.5500127795281664,1.5125957853588305,1.5066845577780839,1.384015780222662,1.1777235017582839,1.300615342604428,1.3058147297469829,1.0931611824881033,1.0158542175832683,1.0904108921185371,1.1308253090975853,1.1458993042764398,1.249262591435968,1.1933329661441565,1.4894937029737085,1.371500963788876,1.2203396174063754,0.996534300427458,0.9052632370958691,1.4530218485568658,1.3381792707315954,1.4285779958355953,1.718528342171663,0.9112581890776978,0.7607554479058523,0.7166177809712635,0.6242459820957132,0.7421695012606624,0.6914410030043945,0.7136484679622579,1.3826094303933025,0.6287378542976765,0.6161668941251329,0.6658515694308322,0.6247826604458993,0.6291059812595143,0.5985459012321175,0.6641426221774522,0.8151964200367725,1.384265655351335,2.6833150102332692],[1.715508051499092,1.2163559364739203,0.8901022946676524,0.5194966791606873,0.46461027589376314,0.4226075763436106,0.38000833592982586,0.4688810005478884,0.40456347749075117,0.38864292258990296,0.48742272525066366,0.5958159627356419,0.48548898069161944,0.4318159165575798,0.6373364080606985,0.5985048214131794,0.5354430267021305,0.6125881363243834,0.619891314260398,0.5649747061086473,0.6176379691102238,0.8115112200971879,0.7939262194835623,0.8057569645499449,0.5840960824903176,0.6244987102378485,0.5424997804439977,0.5190467462939469,0.5393892482424114,0.5884205925597128,0.6886022586787082,0.7238029197229511,0.7973627137212653,0.7575455321311699,0.6983818799000192,0.6341641529225739,0.6224734556021331,0.5615488583299142,0.49433678186541885,0.4730009992779634,0.707025986624122,0.578108128027537,0.6100788248191947,0.6065375688213158,0.8246003849638348,1.4203501153349347,1.230198539838137,0.7287231333930566,1.118294856958988,1.0139541474719058,0.7831374821644466,1.5444363469467368,0.9681150323030548,0.8985612374218622,1.8252086034006325,1.0075972379687383,1.3864785599466918,1.0724292353961704,1.6534952640815321,1.0975043701281366,0.7535823731088541,0.7091780190834265,0.694012304699051,0.7903503233719162,0.6250267966219334,0.6334285956329421,0.8083681794701134,0.6914371383047868,0.7482685819502581,0.6838577054495473,0.9210537789149964,1.286262062311475,0.9118390620829349,0.9636350353957748,0.7092538734607555,1.0480281116910384,0.6493169967575619,0.7234506433580972,0.7061880531546083,0.7069366249147702,0.7364807073998054,0.6875853525399093,1.062135034446154,0.6576502350416501,0.6456394093571458,0.6115308176048689,0.6280518459701895,0.7125269764028012,0.6567338880269328,0.8482761494331685,0.7278887672504777,0.8709372392365833,0.7933645483931704,0.7530107043049546,0.7210418603980908,0.7975815541705138,0.7372277050508703,0.7260569096718102,0.7152356231896166,0.8576329390291045,0.7201866680695099,0.908801759831771,0.7137259183506823,0.7518989632622146,0.7104311767031612,0.6498496624891276,0.8024242766461601,0.6167518741462952,0.6431451922318283,0.7196870319660313,0.5263497763277584,0.472023580667848,0.4180862424677106,0.427221267671181,0.44104002690883337,0.4345342551109393,0.47856332511447824,0.688310410852422,0.5767885766698388,0.6084212606664762,0.5404814413418009,0.4864685363814648,0.4320964569487429,0.381055425110507,0.3724771120798923,0.36403065938516194,0.4417942528819036,0.42952015092282575,0.4500957210081312,0.5233365889784387,0.5107349440146437,0.5111278580058596,0.5160903172336007,0.5910804567278523,0.5709906072767039,0.6552496532201757,0.7391885889818318,0.6431860951415379,0.6650209318812512,0.46892022771683217,0.7420934038284651,0.6018598941684584,0.457631149769592,0.4358030692144488,0.43205706343277017,0.4530341931763329,0.4030306064942332,0.47801027344070735,0.47830186423961296,0.5330150685263636,0.5884899736793092,0.6686306850767626,0.8838670069740651,1.4601167232562644,0.9681673737556039,0.7720484757932249,0.6850037266690782,0.6768016353345696,0.5967617898321548,0.6358326612974626,0.5104613373064145,0.48883113951543133,0.3901143769793009,0.4513628290165051,0.5729986341121013,0.6222580220186189,0.6376204904470444,0.9638854514618287,1.1135327228437417,1.0997257961617095,0.7325081258583648,0.6781508712922825,0.5267352149758723,0.5150948797467881,0.5075947447399716,0.6191455022991875,0.6146462377267726,0.9139641984520558,0.6168673572665092,0.7255468288155728,0.6760705234145046,0.5433295802063203,0.5505204125264332,0.5298782627613301,0.5075109309243616,0.5388918622690936,0.5288974223793543,0.6772118386651184,1.2529189975902373,0.7439099415445438,0.8888271994950376,0.683286453210388,0.9006287601240859,0.8287981671093724,0.6326658200698355,0.6709324134945494,0.8909611169622047,0.6142276217833594,0.6254271774038217,0.6002727284695174,0.8915129056921529,1.0319999482718585,0.7292221681044195,0.8550246379029328,1.2434453168700705,1.213505771295373,1.1106598297218542,1.1907874643491991,1.637591005155049,1.3024369984002553,1.2678995574120093,1.5901542036445229,1.7127950471709166,1.514806050952941,1.5339099067141397,1.2799575730759938,1.8480335276864424,1.2123470532902596,1.247157261138995,1.5242674257709665,1.5324012764128345,2.0508957960420156,1.8988751804940585,2.3865506522617768,1.7540788126084792,1.7203118672879265,1.623455860409563,1.5667052297277262,1.3862330055216692,1.1927843908712228,1.295723061231173,1.1332721703293764,1.1840672759205373,0.9633871958761067,1.0844890685268218,0.9175423699885485,0.8499477510466179,0.8303990068177229,0.6918094453732097,0.8921262923051737,1.0758950458208554,1.33843626526792,1.5257827966175772,1.793267041967784,1.7560488032461796,1.500395284947192,1.8021349344015845,1.9836122927453275,1.6716643516744654,1.7496933447780938,2.158969135687741,2.2481489664734706,1.9532494904997517,2.1266179469509225,2.4071715516737653,2.3553773733883396,2.0996613560980517,2.225238110933669,1.9712471214571055,1.966701945072123,1.7885033581564524,1.749510680638521,1.7627533796125687,1.4675046803325342,1.3822124461026248,1.3840701328475122,1.2977404729675692,1.069489731246725,1.1612989142548138,1.2338660999200586,1.0317706601578336,0.903780759139803,0.9834174021973587,1.0872292729776556,1.0798354484571377,1.2430605844109295,1.1779112476318057,1.472893224653412,1.3012048349533896,1.115358748343087,0.9419636058341367,0.823645989162194,1.259530424726484,1.2188291474562503,1.3693966051473292,1.6734642925611296,0.8389457875143125,0.6268316043406845,0.5648974393897924,0.48547179085303577,0.6358515410212006,0.49688380381429875,0.549131574301352,1.3482817709734858,0.44180464755738363,0.4735856564269691,0.5170435291330854,0.45439458232966,0.5410832969506177,0.47736403650729947,0.534732839904224,0.7292224023578119,1.1954430261702866,2.492592311295338],[1.6734238876174694,1.243493919734837,0.7407979178043781,0.4796121849429333,0.4547315315103071,0.3519851838050788,0.2887027315984389,0.35521723482748446,0.3191582260119479,0.32684713574235774,0.413417411264875,0.49534208779037203,0.40471756166174316,0.3735330390295717,0.5385012890139989,0.49718316782432975,0.46484538468462383,0.5297307451955924,0.5694595928288162,0.49394349064475623,0.5543995420047363,0.7329246819675372,0.7402118115027205,0.7634680540794406,0.5434760354275576,0.5845426730969923,0.48392664440127087,0.456966231980065,0.46051741763724857,0.48582560295928473,0.5863855056365369,0.5975746819702296,0.6532018680762078,0.6185244094884085,0.5617298113114895,0.5224848149188099,0.5079663450402122,0.4678997126810979,0.41000278980066185,0.404264127621367,0.6461970573205075,0.5118427890516662,0.5292152311372934,0.541024479993726,0.8100283901600168,1.4138540766502208,1.2229082575627501,0.651832267708866,1.0482959462584303,0.9681277883810434,0.7038083736645653,1.5850911751526418,0.9724162005361144,0.8696622963139777,1.7549665050023917,0.915607818744646,1.402975499370231,0.9943023469318896,1.5377503324508657,1.0714040819632866,0.6861583224671811,0.6272226286458215,0.6036094389777568,0.7517328848217982,0.5577897905022042,0.5548094903224889,0.7380314507291947,0.6213747515718917,0.7289244474959551,0.6410112068750777,0.8927983975965024,1.258800092858947,0.8858909764882814,0.9381389878418426,0.6313707923186809,1.0053984198383523,0.5587677829101344,0.6183625223754684,0.5914293107407657,0.6041115615177886,0.6261256533844282,0.5703290779442761,1.021434218169908,0.5508890399912029,0.5814762973779046,0.504794657790532,0.5246229906337145,0.5919573535956202,0.5438770981698559,0.7228137011777804,0.6143875156417876,0.7845057988320284,0.6805517660215173,0.6147429599496202,0.5928338312484879,0.6701598678417132,0.6321627527326933,0.5918807769085045,0.5924616299217589,0.7393316334169395,0.5823890210006678,0.7821364950400465,0.568346471367725,0.6291397447685954,0.604748029287189,0.5470193367999088,0.7121124028431194,0.501927353570965,0.526353037621416,0.6517625843631812,0.4301290408615453,0.3629441231036877,0.31475423002035186,0.35880160389297944,0.3829452849818293,0.4017750766610608,0.4257893722517595,0.7153323868812963,0.5381760978168293,0.558531257196194,0.5010093422340463,0.443456541790607,0.4254437481689743,0.35335066963036876,0.3138132704908262,0.2967925742060444,0.39089813299297516,0.3758823454376638,0.3550810155699953,0.43629653426464465,0.41848784455361465,0.4159026968785472,0.4368231510999763,0.5126573999747445,0.5053293800397277,0.6037527775802114,0.6652023497512505,0.6000059598477282,0.6467100854230712,0.45336050886779344,0.7427203314079447,0.6034705369255422,0.44819268881756597,0.39407530804456903,0.37867703619446974,0.391605909615908,0.337547467628989,0.4007952839906475,0.37416511928497637,0.4307027225091602,0.4753175584630777,0.5481211822942925,0.7888371440882749,1.4703528400879526,0.9322016770592693,0.6412813412582788,0.5523006870950152,0.5503652617627159,0.47742335988005824,0.5239122654237257,0.4408945422414898,0.3992939194535317,0.33102801653980035,0.3775497387317817,0.4875655862216426,0.6012736950132316,0.5857303390968104,0.9186575030498445,1.053351485208058,1.0610927291085364,0.6875633681776646,0.6445237651189076,0.4607515391919457,0.43235451562812166,0.3891511610236723,0.49807890906296337,0.48488101287536617,0.8076971830614129,0.48510237002520706,0.5989388807675761,0.6460230819748198,0.4501330090226674,0.4530337956921747,0.4206930122189747,0.4067572895367476,0.4439562913685744,0.43811043560631857,0.6308441558083463,1.2505264017095883,0.7083450561346679,0.8835474915335267,0.6127681911111501,0.8349886196376609,0.766392947111935,0.55202805036708,0.5960275426058271,0.8297692062303009,0.510103827937656,0.521085951060353,0.4990438137991366,0.7690540664685126,0.938748753538665,0.650456763180564,0.7541096049009424,1.1316600366045442,1.149951367428464,1.0461361132350198,1.096369147764077,1.5321066544114237,1.259284672370527,1.191219790018885,1.4859580727845638,1.6532520723013282,1.4805379619605585,1.4423030476426213,1.180550066743067,1.7056470867087656,1.0586092603050847,1.1151532268822046,1.3678826787628124,1.3435918125818873,1.914451189797821,1.6905826565784785,2.198179281182194,1.597024984888534,1.5489732524691628,1.472566773009471,1.401412109343409,1.2080049533072839,1.0405240515969796,1.1506071365425692,0.9675832158724259,1.0333155601083388,0.8140846050084665,1.0236703791958142,0.7774843326259518,0.7477719479040529,0.7685877517386753,0.5759337922507439,0.7828059794557818,0.952040997037994,1.2026654082843276,1.4078637784018146,1.6357843758784272,1.6632225697089669,1.3903700229426739,1.6554155340664323,1.868137560194415,1.5966047034011956,1.6483655016052725,2.0352713899331163,2.14499348114478,1.8606818915324075,1.9819612246275118,2.2459248414720854,2.232673563358132,1.9501054574845893,2.0415623651508983,1.803997350797677,1.792065953819829,1.6362213482968688,1.5770290161763978,1.5803844350942036,1.32734208956301,1.2230439583500834,1.2131495178938976,1.1526013360816387,0.936143375901784,0.9992394302315168,1.0940230649994227,0.9065856000339659,0.7948003078415761,0.8531499146835291,0.9552539846704898,0.9640295494751026,1.125814725103289,1.096187769085553,1.4348796170582685,1.1346849408772444,0.9847932442199416,0.8214770459052814,0.7152680763195027,1.137149872625392,1.1123384770337388,1.2902841034449293,1.6519109683066138,0.7938843850901055,0.5833433931128448,0.4801244874669662,0.4257241281382754,0.6308304011836448,0.409900197819179,0.46199695955040165,1.335584109190741,0.36464735733238063,0.40669132588698187,0.43824365049590047,0.3327815464929148,0.44779790235973493,0.4554819132239157,0.46679724089762525,0.5862966171631985,1.0287839815553834,2.400113036552404],[1.7605302997658294,1.4017527036357886,0.6999782857523802,0.5147243827436204,0.47617971069466486,0.3563026099614386,0.28968530072636045,0.34388943393198446,0.3247385444588866,0.35310312684208667,0.42397533975319973,0.49755541034441747,0.420546676591241,0.42723868104795565,0.5802357932152308,0.53384413621439,0.5189759017593144,0.6022155668796982,0.6599513445915693,0.5794896450853287,0.6547726586581235,0.8210098724171349,0.8577464609900289,0.9119891198917816,0.6475753253656594,0.68059021644192,0.5740901624870537,0.5294213349326903,0.5239040883137591,0.5178557446501462,0.6303826998526835,0.6122880502022321,0.683060662121091,0.6596903322495429,0.5986960216176136,0.5697063233960187,0.5270695743751286,0.5313173903221294,0.48188267202243706,0.4575514022626137,0.6765640247695048,0.6139095726108953,0.631272072470228,0.6263886090778094,0.943826435544881,1.5293823540124574,1.3498581625547952,0.7353577613502195,1.1024387767048518,1.0398097159229251,0.740148412264683,1.7457058210477965,1.0435853022641104,0.912194269633799,1.7188807610118635,0.8936842500564554,1.4217195027932845,1.0356988216806007,1.5385528089343994,1.091474750901843,0.7450523489908715,0.6780335040324627,0.6785630177677913,0.8501350566385479,0.6323528465114496,0.6199116435594998,0.7914031336493069,0.6945005292750996,0.8167870528230046,0.7122288006553125,0.953482323058616,1.3042664112564044,0.9102718896466093,1.006778846423018,0.6847718243951113,1.052189571132427,0.6283002161182094,0.6710911455733685,0.6404538711584872,0.658575356327522,0.6575505223378781,0.5982377418411902,1.0562564303604476,0.5365398187667652,0.652097528485696,0.5397328229676476,0.5625979439829657,0.6137648024296084,0.5977588857861604,0.7606004686659888,0.672143225359375,0.8381065234007383,0.7314753487918507,0.660008612223386,0.6411524252552608,0.7191883477670994,0.6656886934721156,0.6213395006097676,0.5962359478800714,0.7482507378014023,0.5888248882867302,0.7595717033961042,0.5634834483599621,0.5923490531032882,0.5848209999161522,0.5134389778424254,0.6569976335794289,0.463705991464943,0.47797401043366927,0.6269647937245829,0.4000772789584201,0.34802765605078173,0.3118584307785612,0.37306056509077723,0.40986743989139524,0.4449280911782193,0.48212747775480747,0.6722697969238903,0.6270441330924722,0.637482241676124,0.5770950637365861,0.5247625672955721,0.5001392559483789,0.4037748666523653,0.3475164751383816,0.3273859507667041,0.37324788500122824,0.35842652037199296,0.31965942153119653,0.41186688753310136,0.3706955971309625,0.3783164617895901,0.40472221878911396,0.4945849224462113,0.49160000617024036,0.5812074422378343,0.6226606700492072,0.5775457190171722,0.6782770379387603,0.5467012058615364,0.844247334696342,0.6939766938093769,0.5232584289650322,0.4843560573224561,0.45073802273818264,0.4612712449339379,0.3990081158708541,0.4325621228199383,0.39873489117326194,0.4502210563805413,0.4720722381405993,0.5475649115390696,0.765180193447884,1.610301433344296,1.006435069889587,0.6368712244369082,0.5586166999982312,0.5432960207490565,0.4904070723588051,0.5045470657730341,0.469591900772055,0.4392325056647214,0.3789387655156557,0.4318246637066073,0.5067916416380729,0.6507431564604294,0.5942399099446576,0.9324808187946722,1.038079479999299,1.0540052304612333,0.6912176295090663,0.646610623285113,0.45787716249832205,0.4313338212175887,0.39162161357184555,0.4822777013984023,0.49896991513792677,0.7968953813144347,0.4846972236643378,0.5738939041691004,0.6491840995728309,0.4342717066485271,0.4389879896983972,0.3981713774061207,0.405045421166457,0.46228578739570564,0.47955438950285434,0.6410419162377375,1.2906390485832335,0.7541092580310281,0.9476793514338818,0.6330163256039318,0.8516004516907869,0.7631439505883092,0.5116095825772707,0.5817260994024932,0.7715090290847821,0.44516487882723377,0.47043845942589485,0.45059970519895814,0.6809444001692062,0.8615127146690649,0.6017073613020035,0.7132216104154664,1.0643575606667297,1.1120300929068228,1.0484806163060587,1.0767155425008081,1.4792609888873238,1.2662166356980702,1.210040737349322,1.481190615906621,1.6511380445941244,1.5264438512259342,1.4957868098711984,1.2258429048047672,1.7122570975457634,1.0571564076489552,1.1003544642778114,1.3400787521089719,1.2841059617667603,1.868974214117203,1.620860838553975,2.1126941108690374,1.5130725749185445,1.4416714875557202,1.3644203699374593,1.288487104134219,1.097364333256615,0.9436498669859302,1.052105067693978,0.8735163641353612,0.9572688869180273,0.7395996287488186,1.002419165484914,0.7560879168486057,0.7247580472857956,0.7613086202665807,0.5337002406479843,0.692933979154882,0.8499277813128351,1.104064761642754,1.312993905889508,1.5354951645423913,1.5842359207323915,1.293258340216865,1.5531605770300387,1.7842097024788812,1.5221136966131357,1.5668914958043736,1.9540718823157006,2.070415779202943,1.7923885655601037,1.9060682327875336,2.1763155612339125,2.172840637878953,1.900607650722183,1.9843680860890398,1.7437315760845922,1.7130304083845846,1.5457326228333108,1.4826623180535472,1.5056983851118664,1.2674276612499706,1.1359328509802695,1.1391938018162324,1.1020309688798886,0.8833587442363782,0.9263950638906164,1.0692356000603107,0.8964864425472973,0.7674080989859724,0.8230068220346469,0.9548458038863059,0.9605806472056818,1.1265231180167046,1.1578417061348214,1.4697687633409893,1.1049319266596513,0.9613192426816726,0.8304982722338594,0.743770730365123,1.04112782823388,1.0528953516707948,1.2741626001989705,1.6645158780699145,0.8239261903454814,0.6060687792560363,0.4464253382091205,0.4326140806370033,0.6692929962172878,0.38849997694030824,0.43772786008374626,1.36162913817265,0.3599261154823665,0.40733023003169055,0.4518738383469213,0.30600185561780696,0.42446369914752136,0.48999409940565897,0.5122334414257569,0.5375023452198706,1.0680162299985188,2.6736326110080526],[1.8355322635820106,1.5540634233085555,0.577384795939856,0.49532386414033563,0.4412771121516951,0.34965747374022027,0.26297722825105047,0.31150798691199594,0.30177253548088817,0.3186702250538105,0.3724640370989497,0.4581210470616441,0.3800176189933228,0.40285958521471515,0.5295860422620046,0.4850155296195681,0.509168125249472,0.5818556659987699,0.6671800210439838,0.5814237619201168,0.6788550652899642,0.835047430691317,0.9027022141601513,0.9743492934629947,0.6950027918341636,0.7097742583209268,0.5968957438025673,0.5261395447096016,0.5155472675431242,0.4957830801515876,0.5911245289009928,0.5548935247535577,0.63870723203337,0.6256880754309592,0.543663564170469,0.5308906741002303,0.4971691588312164,0.520772217565533,0.48545510058176533,0.46894427363564223,0.6723363433223243,0.6440858425999558,0.6635550892075535,0.6615901761054972,1.1159166371438904,1.7270553693168285,1.5942860883220378,0.7860257034258351,1.156161525270752,1.1779933797370958,0.7413164301903387,1.9886939646393118,1.1769596566072404,0.9930286513960264,1.6478003257960254,0.8131026150235178,1.4486493143413472,1.0093215546598941,1.4200033946818758,1.0985530617368133,0.751637403844059,0.659863446780782,0.6845710179661899,0.8876057657137227,0.6468584054019859,0.618732321238458,0.7785388124024083,0.6797079133861985,0.8531077738077563,0.7109991693759893,0.9542355700021391,1.2894300858164054,0.8921082428430428,1.0243995774446124,0.6766648432709498,1.0976231831663157,0.6343752010357284,0.6532497921761138,0.6053770526574275,0.6306378595006364,0.6093682454115199,0.5568514112456695,1.0272649516075052,0.4889879125965126,0.6853474076499076,0.5021315392703475,0.5394764023062487,0.575554849113121,0.5667724470794028,0.7144642264907026,0.6406891959092629,0.8349228826706292,0.708774114207569,0.623844088838735,0.5990372959842711,0.6776861709539436,0.6332488055335879,0.5777640645062431,0.5418123411834435,0.729964082441759,0.5368602682028693,0.684068733713944,0.49815990530397536,0.5398295875697277,0.5438484471719965,0.4710122090729568,0.5886183998823523,0.41435442252597293,0.425237887437749,0.6209784272092217,0.36938816824473686,0.31535920915932353,0.28152110279946146,0.3563664066908696,0.39566061434485955,0.43824373627067736,0.4872356972405627,0.6632885568771028,0.6598314919084523,0.6438164592840872,0.5990505191754842,0.5348376006323707,0.527219134531533,0.38377956113364037,0.30868363769315366,0.2857758656411302,0.3447945502026284,0.3059168612941576,0.2911551391143954,0.3997034019989499,0.34959407873990656,0.3529608232871521,0.4060052970817354,0.4793933975588083,0.4891347506834153,0.5765684024963929,0.5881094989356668,0.5281408947722639,0.6323116510563815,0.5939535126777858,0.8978457657796105,0.7713697629485158,0.5674444663511515,0.5038162980034784,0.45993287513511194,0.45656093165947287,0.396600826683559,0.4216634471808793,0.3694413582846134,0.4026333039262714,0.42659555846775027,0.5086375712681455,0.7232299740471225,1.6397221185010409,1.069638540454161,0.5898800624483823,0.4977014772627987,0.485563282171145,0.44393707505668045,0.4498814582059872,0.4861784891256983,0.43246187223249133,0.3995766542865691,0.43738242792298443,0.49585839365823736,0.6721887478453912,0.6071144475131257,0.9579030949094394,1.0177892500519292,1.0315644429016533,0.6753704375356513,0.633734832847372,0.461315186791874,0.425166129677449,0.37733083808152024,0.44870041465597965,0.4627638956660483,0.7528893134815935,0.4359537395161858,0.5099489040351664,0.6727041750168674,0.41039395205334395,0.4217197770886771,0.37686361380670164,0.40642461403328584,0.4747352731821283,0.48929774119745245,0.654798229225435,1.3446006389273442,0.8058489309360674,1.0130652945576744,0.6802259212986341,0.8946461339441528,0.7818800821386439,0.5178357086170091,0.6077799474272495,0.7143970292586614,0.41558870760535166,0.42136409602665853,0.4075366910732733,0.5848842996654615,0.7827986713731653,0.5574242977232813,0.6540584502237516,0.9887193324141537,1.0865169125580991,1.0511010201155002,1.0493389604948706,1.4309789316419488,1.2973556051381412,1.226082701553301,1.4771476628416478,1.6758589945919236,1.563944448993031,1.5369436907020602,1.2446773176900416,1.691555096398729,1.0089045761731774,1.0476639262759257,1.2795447400394553,1.1850941147952436,1.7144769081296638,1.5016222096343093,1.98908317670657,1.3934716275445433,1.2900721926736647,1.227643256917083,1.1329478433757223,0.9533894829491,0.8243830407211852,0.9333504161649678,0.7364899017873817,0.82140014666911,0.6245764814770614,1.003026954402482,0.7233654599101659,0.695855926725563,0.7716983939180374,0.46918160684631866,0.5966658078879571,0.724333272453635,0.9797442046047552,1.1933244255142388,1.3921157454407156,1.472936815809589,1.1760102028774408,1.4155448838738554,1.6622512841500259,1.4315545588970733,1.4718688330152803,1.8451407198250722,1.9773429540467493,1.727285988103602,1.8144018743730135,2.079766256157696,2.1218017133361453,1.845306397039042,1.9005641740829902,1.6639145533000548,1.6027838672098635,1.433147371250476,1.353614449518447,1.3958654444239813,1.1913526635808698,1.026482250891312,1.0315234477501867,1.0207036949262764,0.8042224615274621,0.8269463588356244,0.988992914820916,0.8351404932920943,0.716126076958557,0.7724306391704422,0.9176098093000665,0.9209567022937085,1.0599446593068802,1.149308530079031,1.4206368067913728,1.0150566895878903,0.8515002649299073,0.78821849281491,0.7448504765730121,0.8684743282994285,0.9016388958108953,1.1817487858684013,1.639963070693335,0.8527411498503467,0.5874111618025611,0.4121648183730099,0.401135972266544,0.7240766697872503,0.3612142567511928,0.4022090579938306,1.3369166101024834,0.3369060496705771,0.3909140874553341,0.44924463229445566,0.2944845893137046,0.42543336544903987,0.4843391290952203,0.538694119982525,0.5524346940544123,1.1140400235470234,2.6367337139112452],[1.6926366905274295,1.39296259280633,0.6216333480411984,0.5384116439720298,0.4542233076010594,0.3836027583725434,0.29284062382734527,0.3380822871310708,0.3067897843423931,0.34281794580595615,0.3887984658227928,0.4686004656003043,0.4284924510317089,0.4438172172570227,0.6178029860210219,0.5775289379389827,0.5751445311329147,0.6832630134560548,0.763077791609914,0.6789610872104134,0.7803085589689845,0.8986056462498062,0.9728126840056482,1.0430770952134585,0.7596855926069453,0.7733256133832216,0.6697954620913646,0.6040042710434874,0.603472247193723,0.5750168194676811,0.7014860921008256,0.6498722366320827,0.7514488167928033,0.734909889284843,0.6502353158915813,0.6403261359150714,0.5870519393907034,0.6034874094012554,0.5834196049466787,0.5796360643647476,0.7396199352870697,0.723079740153091,0.7721196733289256,0.7208678358580244,1.0714797619233831,1.5987145256605317,1.3937715963108448,0.8179172977811301,1.1190919582105163,0.9918938799554977,0.8019847670328556,1.8284746277977733,1.1863385697572923,1.0016712329993507,1.701079540758292,0.9576251095591567,1.5179396815967805,1.0576307428721514,1.5457765030707449,1.1279394087974959,0.8466087405345318,0.8032074921539224,0.8201746114214687,1.0454567173722689,0.7855994379700423,0.7343159073981088,0.8814572231177974,0.8024692870099849,0.9460510708840036,0.817257512220385,1.071084274424685,1.4916686808406237,1.0162842158927041,1.1609595323877953,0.8014927582663475,1.1828207878551924,0.7671955024594481,0.7880522502988713,0.7470781145695091,0.7545277336884547,0.7372927041109374,0.6628577323808165,1.1935612657967152,0.6500693904873237,0.7230578268033655,0.5888999455937439,0.6265132467853158,0.6757534664980979,0.6913578919968205,0.8285239716555074,0.7626767326758161,0.9291647692642435,0.8153458020364186,0.7499978544815477,0.7125244256985778,0.7808874369089237,0.7088373104205287,0.6559633699831259,0.6228014781236245,0.8184230202766742,0.61701720427415,0.7227029777645189,0.5875527212395169,0.59260512976907,0.6024289725682745,0.5139340891821487,0.6416318729444402,0.47011132720317544,0.4499201485307062,0.6656926355727998,0.40438910789024246,0.3603867455957927,0.3288338949283285,0.3950713689902637,0.428013937458499,0.47303695931777706,0.532978676259077,0.67575213444442,0.7360357535507811,0.7281583418096476,0.6723537866269331,0.5916210606745992,0.5754494914741562,0.40062321317994404,0.32041267866044326,0.3319424989669083,0.3843792194907545,0.3754461351387746,0.33072387315735846,0.45448177950999724,0.3742912756139174,0.4047192304482348,0.443575330424576,0.5679435551303386,0.5147265955589222,0.5600817400506236,0.5587259767487639,0.5332915333302896,0.6574867253368688,0.614975028770326,0.9016784476176972,0.7940743808440485,0.6440703822786773,0.547264217290646,0.5279377045178171,0.5380552277554446,0.4629853212179129,0.46205874384956624,0.41179177525330146,0.40224591312772495,0.4295106545193396,0.5054146317331454,0.7689530506735229,1.7619981205265471,1.1042886331516635,0.6532309307356626,0.5462475321322033,0.5376803743590493,0.5060379876385807,0.4768504474585899,0.5223899380022665,0.5175927968341666,0.48279068271407816,0.5198365952260164,0.5587123615495102,0.6743648869009058,0.5826924692583834,0.8554034649837865,0.9185251128301211,0.963056233260836,0.6514376629960341,0.6279799275320775,0.48648838882423134,0.47917535634219666,0.4571563179952035,0.5274804457484357,0.533902646285333,0.8284603137602816,0.5363097161352531,0.5861110686301766,0.6775193505782351,0.4675734338932112,0.4813496913813564,0.436004578179947,0.45690889711568694,0.5491546905493189,0.5581421300520509,0.6890154372286269,1.2927264252478348,0.7729765909276171,0.970413413302632,0.7038847895554267,0.8819788460186957,0.765715508444085,0.5215513314529191,0.5549346529998137,0.7354463776397341,0.41767456846997314,0.4162198689093703,0.41862831080601043,0.5987827888310887,0.7996345335334759,0.5677919110469595,0.6451709568151395,0.980255232906238,1.0411203199252532,1.0074638250083428,0.9934868872316109,1.3681727132491042,1.1821520765476177,1.1337292241630617,1.3767159328558611,1.5275363600726672,1.4843263958396828,1.4290478431823734,1.1640284403817922,1.6400622944447374,0.974937005093263,0.9961752618637209,1.2340231419129277,1.15332948723102,1.8729743420612486,1.4954756167869214,1.9919911489529327,1.4130270697784675,1.3541966281412752,1.2861889360927174,1.2272871153833156,1.0032886005127108,0.8405341279563873,0.9606004991942437,0.7651019606596472,0.8488547458716205,0.6165842249841647,0.9824362859525954,0.6198102495071531,0.6513355986129044,0.7013180754701207,0.4578773709882733,0.6474626917448557,0.7941699199670235,1.0240948522408202,1.2907829620013478,1.4950749789765352,1.5766599468615359,1.2338342624752192,1.4771484714165892,1.761065364044614,1.4701935032916469,1.4826939495061144,1.8597506160316433,1.9634354244406274,1.6676537140766645,1.7896287981548478,2.0493730994349075,2.005388853124923,1.766548500943106,1.8593420718044291,1.6232746327227372,1.6029257584511882,1.444755604898295,1.3880682015650874,1.3933755371811836,1.1578013285006599,1.0353194939506447,1.0247243127998964,0.9950591000287321,0.7821203231073187,0.8114201783495152,0.9647911877057586,0.8173037991614116,0.6883288949689053,0.7634655756885825,0.8913370918209971,0.9025653047374996,1.0424032603304851,1.140616436029518,1.4589154400454545,1.0261401761588502,0.8966287107344174,0.7704896742592634,0.695402402450205,0.9603493048290124,0.9498542014506038,1.1744502957409306,1.6050181975377291,0.8102389642776652,0.6116271316238285,0.41118268965750515,0.4029496137468157,0.7124039949500411,0.4077494973694683,0.4752775766244489,1.4124521377530548,0.40329122356493985,0.4508197077641231,0.576784194213064,0.384536221779223,0.4326814428571613,0.574785106966298,0.6648671222999831,0.6083197427183352,1.2525672100325231,3.065328600875024],[1.8517388730990418,1.596725289459712,0.5590960034524096,0.5561507365724941,0.48079787750972264,0.40617359972362854,0.3341982959006784,0.30825448176085607,0.3043543583901367,0.31863695219088106,0.3340136789252164,0.42845308653957276,0.3644885300839297,0.40821069815470273,0.5126758120937748,0.4830378400488743,0.5193195565634711,0.6029526144490331,0.7008297351759679,0.627674595153136,0.7323701686692253,0.8410451462344737,0.9759618294852143,1.0782551566084568,0.7726985438080721,0.771651344566019,0.6540920290144207,0.5727332897994594,0.5387011584979705,0.49969491813298655,0.5776288178529322,0.5365611562906614,0.626260233635286,0.6053390501433289,0.5117373281595439,0.5439668706478571,0.50228602215139,0.5381445008442077,0.551851403506094,0.548275487513468,0.7248965889660229,0.6846039206114053,0.7128324395892557,0.7700678966545319,1.321851517155347,1.9608957732379806,1.8403659520585705,0.889628134737427,1.2442366299913585,1.3078409276934608,0.7774586293620114,2.237941941363638,1.3836242629556592,1.1269227810857476,1.5418186596577368,0.8317656077197401,1.5500158648980678,0.9928018900321385,1.327381057944663,1.1468931960536755,0.8470499547853315,0.7203751528735256,0.7127036653829203,1.0001434532608688,0.7320221542351385,0.6722514413995135,0.8332351544905787,0.7088288024129363,0.8848472864629708,0.7181440738326776,0.9706977217041831,1.312983081942145,0.8798332754696401,1.0828128814729465,0.6816434905939837,1.155840856226014,0.6615172780140797,0.6601084100350727,0.629708056898921,0.6395395070398585,0.6194613444045034,0.5873173349317159,1.0678084369847423,0.5757980654202165,0.7406011545400012,0.517091646392234,0.5384998215474992,0.5596879190518935,0.5943136013488728,0.7103854890173855,0.635074716542472,0.8234832705176176,0.6941334185858722,0.6163723388297025,0.5821756439069558,0.6463793995013618,0.5899066438508346,0.5519981424058281,0.5281601868967141,0.7489899123302156,0.5292461430248645,0.6503307456464607,0.5076739404611377,0.4990925540397413,0.5539920148976495,0.4703212653272808,0.5639904272532569,0.44455881448143414,0.4446050341715059,0.6571143962400077,0.4070776540353847,0.3530072255151427,0.327848839074946,0.39917031068010406,0.42038987363993635,0.4826679910992873,0.548683895863091,0.7362846894852793,0.7761343498201358,0.6920438521606622,0.6737611981503917,0.5969408207350038,0.6509329162084054,0.43357109597776516,0.3449736402949835,0.37690972210390755,0.4088973551652847,0.3855737881968394,0.3595083809999609,0.4623652246982116,0.4224057005495236,0.40857286035136553,0.49509141274085355,0.5482487082002874,0.5623782188679615,0.6330879005959589,0.589969555101349,0.5591433047603556,0.6518674879383167,0.725797082825606,1.0082807416447808,0.9041648432084549,0.6848821376678389,0.5701615071906134,0.5238306132711466,0.5105744699815488,0.46013609423390067,0.4368837770453869,0.39822611818709763,0.3806240106348686,0.395552956751006,0.46460180676238516,0.6839203365616678,1.6649007829569058,1.1336314936379948,0.5835909707271086,0.47746337964923363,0.45341519847831385,0.4469698944200715,0.42397636953367995,0.5469005769017892,0.47179773635321726,0.518022819278536,0.5066952538311809,0.5556142460557858,0.7521647563366177,0.680888531565352,1.0261150422000778,1.0349168553118413,1.0631062055615894,0.7362607306106868,0.6988724672268096,0.5434733117887194,0.4863317505732131,0.42443156374407076,0.4715086738515308,0.46216817217033895,0.7228363726565057,0.47007145327313077,0.5162826748029059,0.7324311936252001,0.45577913636388406,0.49449032167231877,0.4521813482991033,0.48592868354493707,0.5828914303254719,0.6078694972523687,0.7532317515149914,1.4302898329704394,0.922233217834945,1.1370774222970637,0.8109097759632208,0.9880251707777447,0.8497619014401709,0.6194613355363875,0.6956383621597564,0.7333814106524137,0.4730482549829364,0.46230561019265226,0.44362485052511946,0.5556043818218512,0.749373362929081,0.5565199675384871,0.635784240716233,0.9365701100379168,1.0503543805440843,1.0537713682187984,1.0164398723436998,1.3720418332578546,1.2682034482305948,1.197573483019859,1.4323613986250223,1.6312037324966149,1.542723089310811,1.5183631827448976,1.2340299244527317,1.6577444904923784,0.9835393443818122,1.006547588348216,1.2250321571762415,1.1113387396795922,1.6805401216945979,1.4273189437150886,1.901549512509846,1.3187503462701493,1.2062067445149944,1.1567792820358291,1.0743443210419,0.8831622404977351,0.7783294960043038,0.8770121081705554,0.694433747055569,0.7940376318081339,0.6093378863299349,1.056853370379447,0.7562899847896865,0.7342914957147187,0.7897768422250097,0.4950170247414987,0.5915857113337538,0.7044297301318205,0.9285047439675599,1.165960385491053,1.3447191376100258,1.4538740598879232,1.1345700342751652,1.3530689557427387,1.6336160822472248,1.3965505410678078,1.4121839343441347,1.7807801913244254,1.9153559742952804,1.6595250628770963,1.743228815734753,2.0124993962830766,2.0511894810933784,1.7827690920631951,1.8340150636356487,1.5966133754742629,1.5299041583335693,1.3622031064837012,1.2799340353193769,1.3210785313394726,1.1315693732545768,0.9599720720899791,0.9593572327569956,0.9626529597316764,0.7605774356119046,0.765505889416597,0.9466519731263968,0.8136506043274793,0.7090823159432932,0.7509023457899182,0.88484092134394,0.8971376160624571,1.0196850945664822,1.2124791568738322,1.460387882928576,1.0022888755304202,0.8426217830618333,0.7855737738999462,0.76132163665453,0.8375299935672883,0.8573548757585301,1.1584734809561148,1.6349597246066072,0.9179572210721725,0.6267855665959342,0.45291953078940556,0.45486021298922996,0.7780193180893551,0.3903269798631351,0.4296984407232009,1.337180076072058,0.38186493914238134,0.44131835787197227,0.5064619231845161,0.3534733839348967,0.4468950327073487,0.5294513214324933,0.5936564610783921,0.5820829548882506,1.2110084113376667,2.794541703611636],[1.817832303813697,1.5583864579066034,0.5767590870276232,0.6045953162074632,0.5483915622567698,0.4237917787817436,0.38632981902404284,0.39841800392568516,0.38060134116130856,0.46205944945831356,0.5127405276981762,0.5818399055676992,0.5509071957721179,0.5695101518379015,0.6912459391450568,0.6810261183620022,0.7072945091540427,0.7804968474876094,0.8876936878935655,0.8204959674059347,0.9399475191239522,1.0221379108028514,1.1558660000675074,1.2722405926073168,0.9496338150391925,0.9319751292367965,0.822782990781508,0.7382779966866594,0.7257261204840528,0.6952952532803445,0.8100451422975604,0.7457595981183521,0.9067147715561237,0.8848395242529048,0.7624293652391065,0.7489261764721652,0.7160504361962187,0.7296901551271556,0.738018345454236,0.7327480416279099,0.8290034749330483,0.8812942672373223,0.923098962888902,0.908849238327315,1.3950164885994543,1.955656622615184,1.8376173583615323,1.0176698458999756,1.2913862980681812,1.2906191626740862,0.8999311108498942,2.2076926685102864,1.4396507982771485,1.1771334205465216,1.6493176189168992,1.0255181827532316,1.6292773872797608,1.0889776705534806,1.4688905359556923,1.2933720094401318,1.0029978396379666,0.9231731954983051,0.9332571682888364,1.2235361437905596,0.9692503422381459,0.8751674472118172,1.0114909008106356,0.9250034815284447,1.0689331933722561,0.9168402576173403,1.1151064216389812,1.5055930770646,1.0566766956037623,1.2833496126838144,0.9090821719364767,1.3101651642124814,0.915105686717823,0.9193549844327976,0.8856748868241263,0.8779337818016197,0.8452175821387989,0.7881277546140002,1.2375195774722796,0.687279040760638,0.8571137325319335,0.7008711306878436,0.7558044948305053,0.7911918242666546,0.8146167563282792,0.9325086538610562,0.8856110196180423,1.03857654119608,0.9453456137731125,0.8937054125267716,0.8306809047570897,0.8936810930037171,0.7805779104212961,0.7711196738364818,0.7309262493282492,0.9296767480240529,0.7382637366328737,0.7657609510083657,0.696842046981135,0.6395313984653719,0.6524073628399746,0.5571354652431373,0.6185421140582197,0.4870112917872398,0.45446142556484803,0.6774753156592243,0.4196914126722161,0.4391059569457264,0.417151426786562,0.5024023691173329,0.5626701971681046,0.6103003422283909,0.6977521821116149,0.8275020793964812,0.90997658666086,0.8582780594140768,0.8067588706016452,0.7285050111754586,0.7527361382485186,0.5289504431960084,0.4318530913358399,0.45708164539843005,0.42766210217940326,0.44832557135325496,0.43066381430340106,0.5239099088109178,0.45152151864170326,0.47069071358643455,0.5391073722565669,0.6261701771890524,0.6052552137813157,0.6395403748988454,0.5920829280346704,0.6235289915805768,0.7294950805772941,0.8123243518656066,1.1040378894490233,1.0355882396400955,0.8337694617835584,0.7260121795317356,0.6928105195884057,0.6832147406163183,0.6263976690006692,0.5923483339479789,0.5278877696593189,0.5084182436922883,0.495844065365624,0.5575978853214119,0.7593250037568964,1.7430448976621031,1.1778891178345996,0.7205266770381995,0.6335168127922484,0.594993287675901,0.6015481195757183,0.5479715779340312,0.6410562969395532,0.6403981432007592,0.6463063644179093,0.6856509861232392,0.6713767513565531,0.8645847593434153,0.7235190323372467,1.0005905163936515,0.9883054095276643,1.0164052638815069,0.7381380802324007,0.7317463247947558,0.6021491084546938,0.5924617439913697,0.5882337461797246,0.6118939827226123,0.6462914196271093,0.9267854555603307,0.6447119443882349,0.6471909958926266,0.81744432424263,0.560179715287227,0.5946131334380026,0.5851538489260747,0.6251112852840839,0.7079714301288004,0.7199083959968462,0.8428956780898311,1.467371483687598,0.9870130644884544,1.1815455380047242,0.8687744861477671,0.9877672108372644,0.8485039265093132,0.6332622005195002,0.705684922359304,0.7215956542991294,0.476410360416542,0.4603948749063682,0.46037386270119635,0.518360320945185,0.7092006806333375,0.5302843581597224,0.6034132621581337,0.8880588040041443,0.9959732261872679,1.0098680676622296,0.9659039182062443,1.318424117641724,1.2075755130849255,1.1552032802878107,1.384718810090327,1.56792300472245,1.511891631869223,1.491868079601528,1.209846492681768,1.6389375920215739,0.973307033750345,0.9767616662457813,1.1870497971473104,1.0738697315558496,1.707766315890452,1.379946592892625,1.8653637112472583,1.282123994070858,1.173781917819752,1.1162958573990729,1.037457524779917,0.8326538618712864,0.7085624465309102,0.8402709925255116,0.6736072391637457,0.7672091497105397,0.5737530108051438,1.0446349266879997,0.7302261964484242,0.7306533963258143,0.8210907113533961,0.4961232403001368,0.5531039679039872,0.6579004993751506,0.8866867918383234,1.1463389693362365,1.3430536565522195,1.44778913400182,1.097385157701884,1.329294885241303,1.6304913478297718,1.3632949899789235,1.3665693234293053,1.7539925459457013,1.8825682572687135,1.6079743749886328,1.7080639266460402,1.985185685957414,1.9993848899763098,1.7434839069854624,1.8094187089464875,1.560953722585503,1.4951600380430836,1.3216939488369632,1.2529449710947411,1.2892342305408624,1.0852541546849523,0.9122788880441218,0.9231443161282074,0.9326954772877759,0.7299295332842615,0.7369870304981497,0.9405521523187066,0.8263641233887788,0.7106765037799242,0.7738276832136447,0.9163373642454364,0.9337503527196598,1.0566736174015907,1.2817235950531534,1.5218446786468682,1.0245615990981856,0.8805624772177136,0.7825243663804854,0.7451396961670815,0.883517939862831,0.9261155081004021,1.223381577266852,1.696244726228921,0.9875834232570022,0.7043042426091088,0.4513689653552057,0.5080410106103135,0.7211455825554303,0.44911726060266133,0.48089680395625395,1.3758461100132213,0.45354681480247266,0.4693050352560119,0.556832812137438,0.40763565783501715,0.4693079614510678,0.5581866340301905,0.6469203833390765,0.5911939086258308,1.2731119642153004,2.9981126617190292],[1.8346246803062531,1.5087305168013752,0.6054065457391392,0.5514760764663635,0.4871966850924317,0.4271957519838432,0.34671132205362726,0.37046616262638593,0.3488987080493554,0.3748943814245563,0.43136502266634363,0.5574584869114401,0.4586290901729573,0.47770728627096565,0.6193927870104611,0.606289738381101,0.6157000507675388,0.7079795160344196,0.836118680262029,0.7534017227374092,0.8768508824823615,0.9584453367274834,1.1014361939223505,1.2210769971433455,0.8805628786066027,0.8669505375032073,0.7412645523697663,0.6495299127951665,0.6432931328081696,0.616225350060379,0.728597811322068,0.6893217573195538,0.8230703061033341,0.7992627187250946,0.6915401485299014,0.6794161028312231,0.6384193131625309,0.6446685798176087,0.6573710093878379,0.6506032370264175,0.779825483802062,0.8138849957277241,0.8590210801813826,0.8396430846865023,1.3166659144954937,1.879905649153302,1.7241029098978022,0.9326137697800112,1.236295393175477,1.2025253290253999,0.8500248052787004,2.0781886779919447,1.3566623524435006,1.1110871080114975,1.6476400150419115,0.996248332096294,1.624023702573052,1.0658240680205742,1.4800292348410993,1.2073673461165724,0.9452525753697268,0.8987222850238166,0.9006243045957663,1.2112794404260618,0.933494947300153,0.8183906347223548,0.9693572292308444,0.8761262559741739,1.0310095911116872,0.8659716917555876,1.095819046034419,1.5173553502777268,1.0274170067331332,1.2785653812615327,0.8587898701364254,1.2889904833444206,0.8557886277817089,0.8810738053517472,0.8200178241147587,0.8172455499625393,0.7890703451630379,0.7053665193054702,1.2107940057344784,0.6597713607249996,0.7898631042051681,0.622733698882669,0.6697189632539031,0.7060814594232184,0.7498574999483735,0.8869396973987438,0.8293366939633188,0.9924524356994219,0.874346816738021,0.8205717535653614,0.7471881035238989,0.8095345988874381,0.7022034099720981,0.701186155373144,0.6837488717525112,0.8927606107685663,0.6827837666432952,0.7771203788839446,0.6314414797269003,0.599317953846635,0.59292253847741,0.5169376672080129,0.6120841273829908,0.4670695573738611,0.45684121416525525,0.6804292921419189,0.4245944563182601,0.3871161709163778,0.35793926817187577,0.4248724440169888,0.48125021632407516,0.5330361085693103,0.6040743860223842,0.7675037564487616,0.8643162296614666,0.7923601235628432,0.7519544163130268,0.6565252745007027,0.6809869534455425,0.46117570203983227,0.3618308424420041,0.38505746402656726,0.40989985853235594,0.40901827970619414,0.3658480636192144,0.47190279288293957,0.4064507192960685,0.4275075216917772,0.4750257491150097,0.5707590327345307,0.5445703872806692,0.5901083513719895,0.5516475714523015,0.5556853945090172,0.6602553024675248,0.7173767377560347,1.0217475751431075,0.9573371715501744,0.7506721675359582,0.6232607200215393,0.5901904876939884,0.5811861166564443,0.514674284185131,0.5044519139757183,0.44100114862247086,0.43903658599641165,0.4703615802036149,0.5399093232550509,0.8045402168495223,1.7792329561016988,1.1315728158202698,0.7039363431144938,0.598147465795504,0.5682293453465993,0.5334404109165524,0.4819127853118377,0.5534918038428036,0.5499013814263115,0.5397774489475851,0.5816117353205369,0.5769638074757648,0.7451849566063894,0.6318010654719163,0.9410269623592341,0.9563639953254577,0.9904032912992462,0.6798699756941633,0.662184315373614,0.5245950505199869,0.5070567170909996,0.4885867277299445,0.5421970878171507,0.5594668029574087,0.830790775157442,0.5686532796217636,0.5910253595680905,0.7062239408809682,0.47507274118180165,0.4980399986244123,0.4690117133738944,0.5095253384434884,0.5950367633505613,0.6267593444415879,0.7631511709181363,1.4052313541350676,0.8897534875224403,1.0885542426499157,0.7908942700975968,0.9359332424483282,0.8046175816782427,0.5670811210973776,0.6271717093880863,0.7082598159725221,0.44889663282172365,0.42678036441598566,0.4433015895858442,0.5873771898356218,0.7940381732814733,0.5656210543648186,0.645346088064669,0.9908361978032987,1.0660247635876154,1.0326132973649047,1.0303807053854634,1.4304325802585158,1.2498969612087654,1.1955881994601394,1.4687564751458528,1.6297027350133722,1.5348094064793452,1.529394322015276,1.246709821786049,1.7334095533824614,1.0388808092224133,1.0551089007204137,1.3091370541821308,1.219715954694713,1.8278763580129382,1.5556924678267057,2.0546753355658494,1.436619990329806,1.353501450450316,1.2829049337050784,1.1986059663952269,0.984417635482349,0.8303208529541704,0.9519584493677228,0.7428015740659234,0.8271046175549512,0.6116159551430289,1.0027391901722968,0.6895168423269707,0.6996998454538348,0.743552132733657,0.47039251080452005,0.6204393843626456,0.7635870754183959,1.0117652090499398,1.272125706050187,1.4957398857251876,1.570795150470363,1.2219962129800164,1.4951240198626705,1.7748005705009517,1.4727967113481484,1.5071631867470427,1.9117710306645619,2.02160645030829,1.7293853912399197,1.8705770291438857,2.1585386839986147,2.119606721363096,1.8759325682450818,1.975432453467877,1.716489210676559,1.6755124710245142,1.4823884559387774,1.4173532726406723,1.4565517218740036,1.2024585344990004,1.0440575639598826,1.05178035026836,1.0307292268320731,0.7937361521334502,0.8179477646615964,0.9933763986958067,0.8350606875109342,0.7127217464476847,0.7745417850818593,0.9178287974482613,0.9228738816955356,1.062401941505834,1.1906433521938722,1.4685292994279853,1.0800647842589302,0.894436323933775,0.7948043935255659,0.7381015996591743,0.9098587307915041,0.9442590514963953,1.223305062040804,1.6852696795998865,0.9134043815426245,0.636865424206026,0.4484267114026517,0.4551063233303329,0.7318053715970779,0.45628584783728193,0.4952937842670291,1.4228899455469464,0.43381671955554485,0.4401441445924012,0.5540391789291015,0.3962305573000524,0.42156429343533774,0.5435929351345729,0.6417349536434731,0.6164740731575109,1.2197929036898567,3.0909887586929394],[1.8873934736482465,1.5607609857759304,0.6276218147286219,0.5175938200686134,0.4746654965983935,0.3981484045777767,0.2911769203215718,0.3190325050597227,0.2937741922958404,0.3213119091318229,0.35545836891115545,0.4666385082736785,0.38145924432932604,0.4156920454428901,0.5458574451186291,0.5230917052435032,0.5398997344946517,0.6341804416381669,0.7410591260802247,0.6603201262982016,0.7766087857844937,0.8797402698475638,1.0106131203372837,1.1189105192505606,0.7942693528493106,0.788492317613352,0.6583356600949261,0.5789061861930069,0.5602899619258007,0.5291553430820499,0.6465152467552525,0.6000289908159401,0.7088453392760536,0.7054069415838865,0.5890611177404205,0.5882868096786048,0.5370337906767604,0.5532521084586481,0.5481715010666242,0.546845581364352,0.7086185141534668,0.7102763495733923,0.7464421122692204,0.7501148963396584,1.2697771664420674,1.8819546420651734,1.752040170805557,0.862740656903735,1.2075531249778086,1.2159785499889837,0.7549337058526292,2.0890993935340405,1.2782094272318931,1.037735537635713,1.5935002175571293,0.8612250897281879,1.5196988706024912,1.0068419799860078,1.418692870994932,1.149221942951152,0.8606767840216419,0.7847408760338097,0.7892081847765202,1.0736321950829586,0.8043957483367511,0.7187427901277585,0.8851095631006187,0.7796122676748832,0.9495460189395077,0.7794271970335472,1.0246473518308685,1.4078238481445449,0.9517650984546107,1.1672848261071198,0.7646101252966788,1.2079348509843695,0.7459743619043074,0.7657016567746834,0.7121911297150239,0.7136635669423237,0.6821305905513617,0.6079453834997663,1.1233960447183327,0.5549498398723467,0.7201927992416663,0.5355956605111363,0.5716464093872256,0.6168593785639297,0.650062967944545,0.7962799254771372,0.7307883157600993,0.9110203202875209,0.7867889822101204,0.7214419411509952,0.6647423197111121,0.7432880565871554,0.6580537968920078,0.6271150483685977,0.5957860101586138,0.7951355902108802,0.5935377262381479,0.7121612698193552,0.5461770694833747,0.5486439074830627,0.5433730266100094,0.47542893540295206,0.5913583305737999,0.41858818214396587,0.4215708438026827,0.6419535907222252,0.38132876361173035,0.32957942164499227,0.3039347566362713,0.37533455509026636,0.4156446568987818,0.46547641057383754,0.5390172350192599,0.7054487005286942,0.771993981162023,0.697042211837229,0.6655420555936468,0.5930800265810251,0.627988547790427,0.4244067155468504,0.32423349220671716,0.33957697962138994,0.3823032204499853,0.3561227134600197,0.3174159018767534,0.42402599717580636,0.3749418550119276,0.38623442517478596,0.4304496109212566,0.5117403313696595,0.5083671973078228,0.580708444922951,0.5548858215371509,0.5145045228823631,0.6219298243245523,0.6660895491769653,0.9937968650724222,0.8971729004109035,0.6784102176626665,0.565618566304659,0.5164574535410541,0.5041017874435781,0.4440713319690742,0.43529388602778496,0.3846114561739542,0.3899830455513404,0.4168453299648739,0.4905603598071962,0.7367441938738555,1.7077014334297669,1.072559312721238,0.6277779520251675,0.5266153481875762,0.5073623975306695,0.46784205026214115,0.4472060174350548,0.5055741219880598,0.4679535386596436,0.4726649492976401,0.49809446265584806,0.519089462608012,0.7117437001338808,0.6079409181866205,0.9636423093446759,0.9981963641004958,1.0186341895165123,0.6708899576669165,0.644782790843834,0.48020445726632954,0.4472382050890866,0.40717943503213033,0.47560740839241583,0.4885902418337677,0.7727868487793829,0.47919863787555445,0.5288834264469308,0.69011461758013,0.4222937800523095,0.4426811520956079,0.39944164599221155,0.43587088158954174,0.529520670655662,0.5632401309423388,0.7074284229579925,1.38802800694379,0.854722679735498,1.0652134784661278,0.7417158827969782,0.9277733068262589,0.7922503346600239,0.534216058876876,0.6209229270301412,0.7001205008294435,0.4325263193125376,0.4396562520618212,0.43734459260120057,0.6034439239538598,0.8056241176729251,0.5690116723893835,0.6681662633194114,1.0125606303222892,1.0899250085550711,1.0570960977320816,1.066044104488546,1.4658355969848793,1.2931968494753228,1.2348205361794578,1.511907275754715,1.6868991863290967,1.5591808088591261,1.5675829777869694,1.2776616464761783,1.763791983632228,1.0709063636739644,1.0950756934645698,1.3463026267363893,1.2710912865835322,1.7739227295864757,1.5945021939610824,2.0797465199180207,1.461896170101162,1.361904163729125,1.2785787523512078,1.1839337617956318,1.0095585179275217,0.8647160818727521,0.9504948001004911,0.7705623212342184,0.8690324154112767,0.6505106131454718,0.9959485390011075,0.7617028483270222,0.739711147246078,0.7749852984117388,0.4966618509202597,0.6070034184412597,0.7420654776586386,1.0072736465424332,1.2462690524816054,1.467343929364989,1.533583426713436,1.2160579033193817,1.4847937464239749,1.74989481050587,1.4681585909470567,1.5134577020182491,1.917484563102619,2.037536572886356,1.7600472251218378,1.8907435927122793,2.1819515849941653,2.17430638164686,1.9187095900273303,2.00857915333423,1.7482077299888474,1.6938043523230386,1.4988019230248124,1.4284143805623954,1.4784464919262672,1.2365872341881048,1.0729160092515746,1.0877206989983932,1.0699949353566285,0.8349595878325303,0.8616907179309108,1.0381878367652813,0.8675542500075378,0.7528925646683946,0.807214769081082,0.9610744813554848,0.9512124023905035,1.1029552814590309,1.2075576724871417,1.4622923389315008,1.1067320810090162,0.9084742188039528,0.8256102346565044,0.7762867985896674,0.9081864134943601,0.9578436827141297,1.2478782486433169,1.700886731509514,0.9170716064780892,0.6253094193730608,0.4460065667408906,0.4416320193766683,0.7096157327201487,0.40329037343698815,0.4478158155598024,1.3765822803258607,0.3795924699505061,0.43037970775366513,0.4979748058808371,0.33755888049866034,0.4440326208690243,0.505526708188504,0.5701381959270927,0.5815418966456151,1.1632884327216175,2.945226754586289],[1.8257513902876936,1.4771580822721937,0.681567710799444,0.5056962652517631,0.4410744205729143,0.38708937956185263,0.280449265781509,0.34898096356889613,0.32066798117368106,0.33628849445946946,0.390447709224111,0.4891776159228488,0.4092544504280942,0.41856960255388453,0.5801093940046202,0.538977715154401,0.5405199530706031,0.6306241148752794,0.7087014777431909,0.6307244578988229,0.7274272414889307,0.85160416307609,0.9379534376148222,1.0211751797249076,0.7251023510879243,0.7371425202506945,0.6223188610035286,0.5516455460796003,0.5578226467135676,0.5420831948266349,0.6596909481441503,0.617459206737805,0.7095538687508625,0.7060911095962696,0.6108365822631605,0.5953165705723237,0.5466199665832461,0.5574502049797525,0.5285020199435198,0.5189631354164119,0.7048853622811602,0.6778832593806561,0.707002721869823,0.6861308042288327,1.1263525920684299,1.712677542236702,1.555589314107337,0.7930222673270944,1.1434717538152965,1.112889103221517,0.7413534348952343,1.9018795123819912,1.1612789764851479,0.9786048057979533,1.665648748809791,0.8806512270549255,1.487203791291865,1.0197597092708677,1.4962808308780262,1.1147204920746214,0.8086203320578914,0.7410454922920406,0.763426008273594,0.9917411304238094,0.7245191098574943,0.6795931387684943,0.8428386514564924,0.7476615212313255,0.9077610439787831,0.7669938223200857,1.0069802355254371,1.402923503787924,0.9662107523394307,1.1214529715517128,0.7517759797869,1.149611339251506,0.7108355085639141,0.7484106609633998,0.6954553508668242,0.7120597776465502,0.6891333600567291,0.6066042950147932,1.1217018971265487,0.5651394334850364,0.6963323158208379,0.546551003200142,0.5839244484818814,0.6312949828024295,0.6425005406081634,0.7954167025093031,0.7270676183614267,0.8980237718212349,0.7859409816631968,0.7167327865739146,0.6736770101910518,0.753092337284855,0.6822382613629735,0.6430152813997515,0.6089400668643644,0.8070635204299076,0.608426466020237,0.7452759520178162,0.5705882602749303,0.583267546177934,0.5691064172297803,0.5097359031733201,0.6575545742926425,0.4499230143360483,0.45755976926818664,0.6589307943286884,0.401484446515312,0.33670607893843857,0.3098847849054974,0.3871263474748439,0.42188188274856375,0.4496001500834838,0.49989397974708843,0.6800109041574532,0.6956835145422134,0.6796934447124244,0.6309912527720084,0.5613666830601719,0.5451993939745913,0.3921180277546332,0.32754298276806393,0.30529137526564837,0.37372079030347016,0.3439628943332569,0.3191331857478857,0.4169143144123966,0.376102179981646,0.39037264811490896,0.42421093096870244,0.5206627569332763,0.49323616668834164,0.575986217431176,0.5934508754483087,0.538704361430782,0.6419211591967887,0.6060583401863883,0.9309251308998526,0.8068363112789166,0.603226691432791,0.5205822758073625,0.4809546546472755,0.4869767193677139,0.4156951711854145,0.43203736316546537,0.39453302930105216,0.4282382501941696,0.4508598863419777,0.5279636611448276,0.779282742215765,1.696544184715361,1.0427655365179567,0.6515958247971101,0.5603591211234498,0.5382311745887328,0.49478335751370583,0.4753994007755703,0.47016562292563163,0.46509154823715865,0.42229643564690317,0.46586374246399953,0.5092743132601143,0.6692992325102398,0.5866230393729779,0.9410290956126969,1.0084970901016246,1.028062677331616,0.6717553546863314,0.6385340281099626,0.46443029173507133,0.44282755875782587,0.40370758817868674,0.495474115444769,0.5044851845863285,0.806238253211504,0.49340549272006595,0.5653714543395112,0.6750961464087721,0.43044016951699193,0.43709904848536235,0.3994159282665928,0.4162678961704419,0.5048554669404207,0.5199090064460319,0.653622128964096,1.3305197901419938,0.7864899476130768,0.9956837510451821,0.6899752760046526,0.8892992554557492,0.7663656961639614,0.5260118533931105,0.5900904629019096,0.7275691473594377,0.4475806347031992,0.454701392197134,0.4499348625945164,0.6764877380859098,0.8706833734060831,0.6086319961458838,0.7151096900705554,1.081252102080217,1.1305202637014917,1.077819788908887,1.1046570292786673,1.5162217571700674,1.3007334803150188,1.2477150608499086,1.5322168645110423,1.6901925869810894,1.559791142615132,1.5612092399013098,1.2819080672825802,1.788583573507809,1.1109190027931957,1.1374285840543432,1.396505384845322,1.3454284800289027,1.8661110062439945,1.676849703008746,2.1655156410374525,1.5473151809780228,1.4795516996552314,1.3941442873308603,1.3100405882427897,1.1109495330152563,0.9521079434307889,1.0548353486043198,0.8574714297964787,0.9355041907414997,0.7145824453570528,0.999533364132129,0.759879670989692,0.753204922579494,0.760967899692091,0.527146508763336,0.6802996677926041,0.8296111155213872,1.1041821280711086,1.3303451661429486,1.5606245455094923,1.6023370113064845,1.2979099751239145,1.5819727448149121,1.834575811712305,1.5363556989435938,1.5857554554239162,1.993409083792267,2.1030508375085106,1.8179211546856648,1.9620359025770073,2.2499555626976413,2.2196736553698893,1.9664673613654675,2.0699692577617634,1.8110078830527931,1.7746360682406004,1.5838859777965528,1.52463401484197,1.5637076509760277,1.3035200124199555,1.16275060051703,1.1738062163757468,1.1377313746399245,0.9012563533143284,0.9463359087001935,1.094286522507318,0.9189221870515961,0.7961963141153713,0.857822950335084,1.0004816184775978,0.993392352514761,1.1503695672137437,1.1831315383251728,1.4573363759783564,1.144931962272197,0.9511914568811566,0.8529106730238478,0.7774199728735512,0.9877654688070263,1.0240721885482145,1.2769943069440293,1.6854685637547764,0.8570829717401774,0.605485899169576,0.4492672750054192,0.4252335203857129,0.7032787676942593,0.4180222055035022,0.46093907639322806,1.4134606997671575,0.39022102878524967,0.42494433092450123,0.5141676370558698,0.3481685726964016,0.44601386366506013,0.5162801912475989,0.5741909365209954,0.5976321543803887,1.1597273965917065,2.943078564156765],[1.8998247634384255,1.579363862281933,0.6312304547527138,0.5110530802729801,0.561873969803762,0.4153626796855183,0.31931384619734043,0.33810404999034455,0.32448314793412425,0.3298216182214132,0.35240078105116707,0.45061576372319756,0.35808806564744994,0.39404348770866604,0.5090041305508578,0.4653299761065084,0.5196264842239212,0.5810385492391662,0.6799844550309802,0.6008064361652771,0.7011566461303845,0.8386877631502113,0.9509633485737864,1.0638242188022224,0.7473820565748229,0.7497064835216639,0.6219515267132248,0.5439612047282314,0.5220989430101759,0.49583632206713646,0.5901399968697228,0.5488424124808585,0.6488866681158929,0.6218880279337748,0.5358096634379769,0.5351581122299325,0.49218417719620333,0.5288700923337787,0.5155503920603455,0.50393924693049,0.6865475400659801,0.6718784516705851,0.6942022762903379,0.7338658075235973,1.2752225514196813,1.9170160912179153,1.827475555381335,0.8813658629112414,1.2432408749634438,1.3380852117309794,0.804097157843629,2.1415496875051168,1.2656060191880225,1.0560326211775903,1.5964026813628986,0.7972504601891403,1.4874389408217445,1.011210259326848,1.3804455681981547,1.1321459661188382,0.807226483349572,0.6965650663764913,0.7092735516569033,0.9403061908874903,0.6836671985649772,0.6392138183849428,0.7941869416682147,0.6953361442821653,0.8862346128189189,0.7264215755685498,0.9635375689176952,1.287902373917576,0.8903238751804035,1.083137718099506,0.6922413103521714,1.1350864948858386,0.6562966537281263,0.6746080351355324,0.6231365225384269,0.6367118688913967,0.6072205426281362,0.5614458277600662,1.011609713235128,0.4733159322149373,0.7133794592179652,0.4890501246660342,0.5346324448025527,0.5549004798450162,0.5783486990473534,0.727777201824055,0.6530628675801121,0.8523924792080768,0.7200110834325236,0.6341128462444704,0.596298005997007,0.6744837131879764,0.6270141010832054,0.5720876143515167,0.5376948791391055,0.7294528346496097,0.5299369156634007,0.693973902017448,0.4912115614393353,0.521747926615073,0.5293510460216296,0.4824950038968827,0.5926219409519446,0.43431161786579675,0.45243246926878145,0.6183813903058316,0.38760190754574086,0.3370345709660744,0.3047880260441384,0.38696010627074917,0.40501561538875874,0.462248501161182,0.5138824381271235,0.6825845285367612,0.7092022977295305,0.6626880097686815,0.62113029845127,0.565219089814602,0.5957535281280778,0.4236679990817867,0.338984214919357,0.3476843524350504,0.38122222314659865,0.36237500039856324,0.3325528362830748,0.40862025110231975,0.383580998788607,0.38845650216804883,0.4095749860186566,0.4550895018705191,0.4756231182350798,0.5732903344820923,0.5892709484301218,0.5114121364927358,0.618031354832711,0.641289605265667,0.9700001203117771,0.8581945487488968,0.6064435689799653,0.5368808511891681,0.5022866351179467,0.4889213612121112,0.42192941064305894,0.42954740813442543,0.36282799713091946,0.40297619306240057,0.42969373978016334,0.4994795806516638,0.7209890074085111,1.6305653496613675,1.054988155997178,0.590396097472961,0.4868976939119455,0.47158643923050697,0.4336481475316702,0.438768596557119,0.48054638738794364,0.44227766320925865,0.43484261306167227,0.46865459263249426,0.49852169531679846,0.7051373803286015,0.6273519850223951,1.0287352660404705,1.0552451735338677,1.054008024901749,0.6818528699293351,0.6370707904260245,0.4602532951263238,0.41531242474085733,0.36088852362147195,0.43245546203664836,0.4529527120645593,0.7378246576838882,0.4250860981773592,0.49395072874099205,0.6932519718950081,0.4070218154544914,0.4247310235435923,0.3881382243342696,0.41425432150661146,0.5093654382635631,0.5289086395203838,0.6921605891376934,1.4164081013759944,0.8681424163256994,1.0890595989559693,0.7293970643016389,0.9125352022316346,0.7930993226347176,0.5397983257361783,0.6750755627191621,0.7062279724274957,0.4674266829172724,0.47685007677985214,0.45926499942714805,0.5951410086304668,0.7732573733865529,0.5563549199041594,0.6522038945588043,0.9860769597387429,1.079397716963107,1.0292262573116184,1.0514431820888965,1.4557378630728637,1.3103201786181078,1.2429751565802345,1.5244864030690368,1.7312281296453316,1.5579323066856667,1.5884563690649092,1.2822841149197919,1.7415726902222275,1.0458175189072882,1.0763804213857804,1.3276174299617394,1.256210041793241,1.693095440396988,1.5599677744431237,2.0085547247891467,1.4075962085140412,1.2980878494174708,1.2287862802814618,1.1297300633947338,0.9675317413470808,0.8353061989904087,0.9296301855501843,0.7737263870545479,0.8716680430464868,0.6719385738000949,1.0067918798005664,0.8351636671498786,0.7769740721318643,0.8511554637301241,0.5208999766847862,0.5803729671147535,0.7090486291877877,0.9765019785488612,1.195297949848794,1.404278143926572,1.480049836404754,1.1804518091976266,1.4254583011510789,1.6677224465300782,1.4304071738407658,1.4760245599649648,1.873577974074422,2.0108499644549838,1.7540681945594319,1.8598546327370074,2.15471317963251,2.1941823247748786,1.9159511300816185,1.9856963544745554,1.7242093385049404,1.6505878841586346,1.4582905508608062,1.3780676592370191,1.4374351479412422,1.2158136723990434,1.0400241602546727,1.056200674719245,1.0480113806645694,0.8136191444322647,0.8420214502601554,1.0429138143476,0.8611789557598556,0.7630025418184131,0.8211117831172073,0.9965451572906738,0.9763361048092165,1.1334793876849591,1.2565885096727083,1.4750554133905733,1.1040680869600068,0.9017575580069671,0.8163825212196723,0.7994476547533751,0.8961822180499376,0.9889209834462259,1.2913723970769002,1.7670523967435834,0.9823393103512916,0.6565859541019903,0.46216769060777313,0.47658288827339185,0.6926308111330381,0.41658559245745097,0.4829182438558993,1.308369735339861,0.4136473725994413,0.4781860272310304,0.46521814365345393,0.33657874369900076,0.5032800699003342,0.4760543915525598,0.4996649653673457,0.5623441849462666,1.0686009505481797,2.65839769976128],[1.9296474040303906,1.494170904858754,0.8088626126903821,0.583032713914357,0.5652035418254282,0.4819672658441907,0.3837197563629415,0.4371788357916789,0.3770756707263821,0.34985486607718586,0.39928466873181057,0.500932192757416,0.409907272437884,0.3970840433662121,0.5693036644758781,0.5189333262293914,0.507991648381141,0.5861620527318537,0.6453772768938396,0.5781875783618231,0.6605471303328986,0.8156907809145562,0.8731504534684288,0.9399614312460649,0.664466252549386,0.6819082942588233,0.5664576192340776,0.5092484132488966,0.5136330344073972,0.5121497020895487,0.623349085387683,0.6044641202638311,0.6936121075873021,0.6736717354542155,0.5899147210584214,0.5507919630706567,0.5253195544650234,0.5227271292072269,0.46897093645535265,0.44976002217214106,0.6667321374504228,0.6144835192557381,0.6369760286532294,0.6313268557280266,1.0945488444148261,1.7240579825018094,1.5890928722002438,0.7540897275821239,1.1273181073635434,1.1682867907739634,0.7349964516244916,1.8756126546633192,1.0837977338040343,0.9379649702206336,1.686631312037311,0.8330423569677158,1.436636098613874,1.0128617355992573,1.484920082636551,1.0969707609455273,0.762004111766344,0.6892865901764229,0.6890403682133043,0.8875392212558372,0.6427501626712745,0.6188717085951168,0.8007235935001338,0.6928342340994189,0.8422411227213749,0.7263106453975888,0.9712283777432796,1.2987188950482713,0.9140309756501713,1.045898579345973,0.7003483163134994,1.096914786156775,0.6409831236388981,0.6846296131927402,0.6379641883525816,0.6478654487597245,0.6464096902872681,0.5653346753116537,1.0596196276534868,0.533905168505478,0.6577305350125173,0.5151750585303132,0.5478312764533841,0.5968086354240464,0.5882562577801785,0.7744533849339134,0.684975118414863,0.8677163814142521,0.7558502320139602,0.6843992369643365,0.6483518883074224,0.7438494847374412,0.6736344468441239,0.6286983207400295,0.6041201208312599,0.800739782847157,0.6100947864488659,0.7889293890792646,0.5713652419691998,0.6535398219140643,0.647656925418832,0.5914822680864039,0.7340359148307222,0.5535997164561913,0.5844465970513157,0.6990218911505096,0.5000540789228386,0.42312070823060277,0.3698926010841235,0.4244382963182291,0.4070510777754233,0.4159240321759167,0.45559609422391767,0.6749745331610416,0.6153643810855421,0.6172917307620347,0.5632291518042906,0.5042781156076294,0.5015702987345814,0.37199661467086387,0.3508902742017052,0.35602334196187585,0.4541628349217328,0.4146529919945825,0.4297007960012375,0.4944161833578214,0.48352361046786135,0.5020690255016943,0.47962333166688786,0.5359330811601556,0.5210331963838982,0.6231389363451864,0.6966105620684624,0.621137328694924,0.6712289256935202,0.5816746207650509,0.8933042825756425,0.7637221520591706,0.5164785827441434,0.467912208878414,0.43589997797255053,0.43959756488569396,0.3792973172000029,0.43362821253411854,0.4153604949275804,0.479235269273694,0.5276225120491257,0.6175189092773021,0.8687031331734397,1.6243727380923265,1.021696781852785,0.6973036011837586,0.5872596700589747,0.5938034003218284,0.5067173967473061,0.5396507644396982,0.5036550476505776,0.4359227789330376,0.3885846454466967,0.4170119910449459,0.498079278837863,0.690010873461107,0.6550850312550597,1.047540255714157,1.1260714657881459,1.1222187225993907,0.7344751687905586,0.6847156706017093,0.486159749325308,0.4523430396528607,0.40688591350157866,0.5105435929518081,0.4957327446878522,0.809905917579689,0.48028799034074,0.5878618574208603,0.6744264379045146,0.4906337010659431,0.48311605880972264,0.4422731907891089,0.4453839399765739,0.46835533769332066,0.47421572394357364,0.6607772101658608,1.3538088565433357,0.8131188702874736,1.020785769700181,0.6666790394128593,0.8881046071018495,0.8009189112123875,0.577006315402228,0.6960106400791177,0.8253232275241265,0.580826081378955,0.5944177173720772,0.582322774453125,0.8224221683352819,0.9846696898681168,0.7267653149923767,0.8431577290514131,1.2050905008509176,1.241021538706865,1.1450632932350957,1.223626176233821,1.6559641693240728,1.42510693511495,1.36902111025253,1.6860998117781474,1.856360195101231,1.634973387310159,1.6931300383786603,1.4017731299916023,1.8954777315218279,1.2285086776703522,1.2782372742595072,1.5537603112017324,1.514645326813732,1.998846855297878,1.8405894117325279,2.2311285403465115,1.6705677137948294,1.6017651652983351,1.506357881625296,1.403828292744364,1.2448868298231341,1.0886871023982627,1.1720490375752937,0.9973909037520438,1.0763337730191933,0.8621508164801259,1.0474023265680865,0.9168019537992047,0.8408387963458898,0.8709988935489049,0.6601316561332867,0.7899800975341646,0.9616491896243636,1.2341733109040811,1.433969723497728,1.6732433986662494,1.6972247130748142,1.4229502138420116,1.7030140170660228,1.9083910190419007,1.6434695554333267,1.7031438812206245,2.103394956744081,2.2125192317032925,1.955868372016941,2.096254311146568,2.386933213026389,2.380371655296819,2.1247898401567125,2.2252252745566508,1.9622112582353757,1.9150012516426245,1.7190403508537957,1.6658720593604512,1.711426612276347,1.4509904430137175,1.308386619157015,1.3287696285379045,1.28166850921528,1.0366474795127645,1.1006051278640752,1.2206519032128658,1.0129005461970197,0.8847844695756485,0.9467341325274643,1.0932027845225816,1.0789310925590523,1.2399917848795554,1.2092918120771796,1.4587598027462498,1.222411373820026,1.0202732102760512,0.9465086528152441,0.8913961343851056,1.0577630626351568,1.0982123989528434,1.3339198142841455,1.7270651336801675,0.8909171989562431,0.6721216845326767,0.5654912950191268,0.5049670655552905,0.7626344621405972,0.5491847293340588,0.5785059504730249,1.3595047779246006,0.5246615138198851,0.5334768817642922,0.6040708152366456,0.4730317927511348,0.5751594058155753,0.5853080632511615,0.6068909974140573,0.7357725481715142,1.1407701295358499,2.6385499908093326],[1.9594301649492072,1.507874513159364,0.8347710614180847,0.5078801663267027,0.48621097836110466,0.4456223550861961,0.3675811474596221,0.4534441980011782,0.3788169288865153,0.34381405066001075,0.41197224120276676,0.5360522411772818,0.4063200457033369,0.37179476567123004,0.5395610832089145,0.5101409357123703,0.47534650085786156,0.5257450589077175,0.5705733306310752,0.5013543017831072,0.5805278777103002,0.765170852994889,0.7913377395033849,0.8550236807549295,0.5939582828954,0.6075714359376729,0.4983249298491079,0.4467240127482583,0.4652049459804607,0.5024160507178766,0.6051108799405518,0.6240626666917771,0.7236820066651766,0.6781700468713042,0.5956567680762688,0.5347554133762974,0.5229155911087324,0.49008019451243334,0.4141326663399256,0.39269322203576135,0.6286173962373968,0.5404187924918965,0.5577667417959142,0.5720655024689981,1.0362173088286124,1.6944509121814417,1.576426326426457,0.7211390497888999,1.1241932547480018,1.1990899384500913,0.7423710686595072,1.8550197182065906,1.0360927580888775,0.9289571524837624,1.7161664919256483,0.8151160268828153,1.3592318531023881,1.026837394464186,1.5089010428895318,1.0942113224844072,0.7281902685254095,0.6348652730769516,0.6224252581910158,0.8038903094587004,0.57320985500933,0.5779800221470359,0.7349464609442691,0.622319644569676,0.7576704829996871,0.6675606846290743,0.8896665489408714,1.2198832014627554,0.8721182027972527,0.9820400384509259,0.6487148891998401,1.0417829874878484,0.5822526564944805,0.6438342298922363,0.6047984777221737,0.6143166502773836,0.6240374635883642,0.5888497854849927,1.0102297711680412,0.48746841909386196,0.6077547805541003,0.5023524927784301,0.5323180091242536,0.6128250217408915,0.5595729889765512,0.7585922108488717,0.6581063321629566,0.831265511481135,0.7316023579130956,0.674265524511946,0.643125703701284,0.7324768172545211,0.6714437153729933,0.6590786469838057,0.6469762844426502,0.8247803790886113,0.6561089665760645,0.8299294443179476,0.6068515666243102,0.6718186310080819,0.6383164149222698,0.5875585071270173,0.7225367643389816,0.5669312788503835,0.594748767532145,0.6606125135062801,0.4977927874309379,0.41238703567438884,0.37094479926047835,0.39196998994253107,0.38249007361887827,0.37814604362656495,0.40740248165316467,0.6939242135067848,0.5623798762268355,0.5438456196917775,0.5009551444289992,0.44568009078441295,0.458838967250227,0.33575799831950537,0.3205674240208463,0.3299218744428373,0.42590939513291837,0.3881735375802671,0.40673983042199413,0.4811384309137137,0.4671902341284638,0.46022474216692477,0.4804642937531208,0.5080820616672385,0.543101022643648,0.6584830789197361,0.7435076720219876,0.6423746476540984,0.6778307879156724,0.5498051197071322,0.8651526784792156,0.7477004876979934,0.48285376726466217,0.41797367092919135,0.3933001813064342,0.4121787856767197,0.350142700100492,0.41933895822375944,0.40986937893201447,0.4836757623213592,0.5484791948203824,0.6534413831378701,0.8702489845849182,1.5338412376924715,0.993253319497243,0.7294267719558831,0.6301319803152902,0.6244658560558841,0.5222058217045977,0.5440833405473006,0.47766173305982373,0.4101026071010128,0.3463411448223442,0.37696010123779766,0.47890066999656306,0.6932760610992972,0.6852259821474136,1.1196912426383805,1.2032191655219897,1.184520266174316,0.7760215123988355,0.7028115618930718,0.4876664110962534,0.44074358228634686,0.39327694168838023,0.49583384163753536,0.5048210300161744,0.8023454426676259,0.48542661198733644,0.5809588094184918,0.6735764298691227,0.46741610707418085,0.46714147025128505,0.44841268957910385,0.43616089093390514,0.4472857972402457,0.44594454575823106,0.627565071696213,1.348372044946764,0.801611294935513,1.0080996686500405,0.6773350152112622,0.918218671300474,0.8405090402946718,0.6046032693708691,0.7070335366521041,0.846656964869179,0.5699090833751039,0.588926121380168,0.5552810006214782,0.8419431813585893,0.994623555859055,0.7189857945246135,0.8520562587429393,1.2372420448545185,1.2631605037830107,1.1503415557794703,1.2469030173617728,1.7018666977943508,1.456421178510285,1.3930829643839058,1.733966020929025,1.9175489120178177,1.643613234542474,1.721731268771251,1.4134366787638892,1.948071967151699,1.2633894596940838,1.3125187086886905,1.5967702112987043,1.5763185722331747,1.9231304749884277,1.9056969994059338,2.31404502188112,1.716846930530561,1.6428140799659572,1.5338407761398372,1.427801035595509,1.3030091849034469,1.1305460207255897,1.1854436055712614,1.0550126932796864,1.1276548517532228,0.8964355107776193,1.0319472295013963,0.9787357352343702,0.8661905906275814,0.8626662325618946,0.6638945845212673,0.7992858120588757,0.9677215660678263,1.2580105708070963,1.4389161947128077,1.7004805085911099,1.683468387135146,1.4363737283392266,1.7324024702314462,1.9157224248597622,1.6480313759572705,1.7287727761159444,2.135053552431373,2.246982005031559,1.9993702511027787,2.1479276135186676,2.4402425299578105,2.4622053751589434,2.192098584426462,2.2904045350739715,2.0254486166496646,1.9701376536412836,1.7640393389399658,1.7047185252918846,1.7662613408612806,1.4978038896473258,1.3523158147087007,1.3793806046829895,1.3274674176135137,1.0636279729691516,1.1389196187193753,1.2643220540723468,1.0411716762409495,0.9098487103996417,0.9672358817849831,1.100120571457241,1.0789645315746317,1.2625827143964479,1.208740324141115,1.4201022601748388,1.2886102796169787,1.015635732385643,0.9490400724650218,0.8904060546533454,1.0298166531541781,1.0919570402654994,1.3261978359244802,1.6842798102776262,0.8575774027556113,0.6118144787233437,0.5476128657284559,0.490607700235973,0.6978154626015584,0.4863790466775432,0.5565442510532884,1.323507100517276,0.4354605726266307,0.47714327870001944,0.48864036737933403,0.4292327212893497,0.6229708062732028,0.4465287323471344,0.5151568032163486,0.7536117500937316,1.1173630426010517,2.4486770023626483],[2.0140246505925146,1.5408702461924437,0.9354240822140996,0.5165889639146701,0.5130803818125382,0.5013464353558409,0.4282598063622448,0.49227957126184624,0.42540475537111994,0.3876644588415625,0.4579294178212294,0.5826704065948082,0.4511965875965462,0.41237141694645246,0.575397448724212,0.5406344333123384,0.4955280929060012,0.5551945994544654,0.5844901048151154,0.5371640732831844,0.6014472974945645,0.796308584700352,0.8296692353751942,0.877118222968057,0.6353240800425695,0.6245039748236734,0.5164027330311952,0.46355252991464174,0.49126359488374943,0.533261289516963,0.6337609607053228,0.6532354565437867,0.7761307418662606,0.727378052055928,0.6297197318174688,0.5629772703938787,0.5545862569314245,0.5183198079538308,0.42663662089268484,0.429486616027484,0.6823309375246118,0.5731099549177993,0.5896927888242302,0.6375877650743892,1.194995605107417,1.8867371311748793,1.8262467151452388,0.8409953207083217,1.242850943563538,1.3865851162683882,0.863018130381212,2.026473920195501,1.137818658952185,1.0200059451493513,1.692094877557763,0.8001854763866105,1.3713292847489096,1.0703610054990333,1.4957478890291631,1.1194953869251998,0.7858264838531299,0.6738972630995602,0.6668329044601783,0.8236651874280557,0.5986024818104488,0.5925082292097384,0.7711564134314911,0.6520779441583655,0.7927110961227066,0.6733102044183693,0.9204160985104416,1.2196539285177093,0.8493300509169335,0.9935975545459302,0.6723251506616097,1.0694269125375846,0.6229951442682752,0.6857358054596256,0.6370925086316589,0.6333986241575765,0.628575175176073,0.6275291812245866,0.9991719646968193,0.5227391145449056,0.6062524041591307,0.5226832203869689,0.5502765108458205,0.6500812300786404,0.5860588013532227,0.7926041929503901,0.701107274772004,0.8480996899926221,0.7773827862438795,0.7218377365714114,0.6867873111458932,0.7815167575727435,0.7104651914690233,0.7035191098036546,0.6885312083611692,0.8673734734738777,0.6967522566447865,0.8683008387847642,0.6486938114016657,0.7152827109859535,0.6807588572335331,0.6386815604122132,0.7696018335941069,0.6341108152789787,0.6574416442778086,0.7118991349022034,0.5607546328756021,0.4538723512149563,0.41195556475459716,0.4024223705974829,0.3970296935867806,0.37774682776715807,0.434222890462709,0.6825493281692594,0.5854547825997749,0.5651676895804478,0.5200917744247852,0.4700023033880123,0.463608945811483,0.35802031293455566,0.3565993347657996,0.3701515548981026,0.46970999049282786,0.4268218234816227,0.46553961445982994,0.5317122864514937,0.5232510783685479,0.5042440078656933,0.5398347529648914,0.5415273327193311,0.6019608325938762,0.7356870218466421,0.8137999138843593,0.6813670027133558,0.6619384391801028,0.5807815003338395,0.8873429094182611,0.7792122293100986,0.4825410479455844,0.4224161246212689,0.3956756780794934,0.4195460288409909,0.37069203755556845,0.43912927109607164,0.4432925977079336,0.5073501152797208,0.5792304059753673,0.6935961447218504,0.9269825853644816,1.5387946671318007,1.025520687442742,0.7806383166665696,0.6714553805017419,0.6652538707840046,0.5620671452108389,0.5776401115638391,0.49866659685808107,0.4361948157586557,0.3691703833719489,0.3876308455108068,0.503249646255827,0.7120898057368039,0.7589482589401043,1.244838862426466,1.3179673088220456,1.268744784829462,0.8455766329264816,0.7600699104876496,0.5418587019714857,0.48000139738672565,0.42580334393801106,0.525733084144391,0.5417516270266807,0.8123624724639436,0.5203617209766759,0.6024683658814614,0.7100043426678124,0.5011852353234668,0.4979918440946859,0.48752326032791893,0.4687538852374196,0.46373401278533044,0.48262641007250034,0.6274111762602907,1.3693030843472627,0.8472129164279067,1.0752155370700744,0.7473605972968249,1.0097100395092928,0.9343004534440827,0.6884097010905297,0.8109448758858978,0.8923817051677846,0.6266068967696721,0.6504580157512148,0.6120253085790665,0.907640476670073,1.0505637527748284,0.7771203041612772,0.9050065080840525,1.2968041848778593,1.3112747380532657,1.1585068750877894,1.3039988699573368,1.7720577643682474,1.5139188088960696,1.4576606595748738,1.8266325987187388,2.0003285330367633,1.656796485357859,1.80942716049466,1.5174145870572178,2.0485854453375714,1.3790512665153478,1.4152747937686583,1.7177511575791675,1.7237141212770584,2.0132347946963804,2.063187700336627,2.3605392472277242,1.802872869007796,1.7270482677962098,1.58724525253683,1.483154840688103,1.4048962475417184,1.2135879555106572,1.24405086796706,1.1629552423497214,1.2400512941971165,0.9760248336403732,1.0222478579670329,1.1267980588556497,0.9410502938131875,0.8778758244581968,0.7233118931038928,0.8480980323140869,1.0247948242712184,1.3171644953447184,1.483047475189853,1.7746589050064334,1.7226801977241297,1.4890359775390591,1.8021368599565302,1.973891573946317,1.694110244772437,1.7799900574950631,2.195145868666054,2.2976336807114164,2.0588495537517644,2.2324564915840903,2.5333583131332014,2.5503232779563514,2.295816385853703,2.419360531712171,2.13356246350713,2.0684414930721,1.8416950492192494,1.793266167010729,1.8715422891526297,1.5885359057550976,1.4379844225173495,1.488326687734341,1.4323236113065159,1.141945603063877,1.2339487447480022,1.365453132527707,1.1136698735574193,0.9899872442048908,1.0608019274001474,1.20581038519832,1.1653939134333404,1.3471358803285176,1.3031016992024438,1.4270884657413694,1.420229256026405,1.0645437373069673,1.0111780443643061,0.98475937246863,0.9916660499982772,1.0930558857926376,1.343413610013834,1.6723741193003456,0.8844752863199321,0.6330174880459026,0.6091978163604751,0.5440327220900285,0.7337879716422596,0.5542184187903204,0.6367150219321954,1.2560072046070347,0.4776749184401548,0.5557707252256502,0.5490586471270996,0.4770243102142489,0.7115579544570111,0.5180594843285355,0.6377107246428613,0.8311218891743574,1.1742812378970913,2.3981922210883835],[1.884647770671765,1.3240936806043877,0.9331658081109301,0.4830951963199637,0.5690724203920755,0.5693177300238317,0.5203383841450906,0.5772183337708301,0.5051574470293483,0.4668771612912905,0.5303992343889835,0.6421992951908935,0.5327981380441247,0.48087901112229264,0.6368958406906524,0.6120569568727124,0.5734120189084688,0.6189843396684139,0.6478266930049533,0.5837684288057983,0.6570505591416956,0.8671187132761156,0.8556978801608456,0.9131036647040293,0.654952650005914,0.6787723948021909,0.5786655829237858,0.5498895489561229,0.5647853036740259,0.5943805324171655,0.6919616878726675,0.7246986677060789,0.8072420986782731,0.7630306121845801,0.6923376708870173,0.6312292988313971,0.6262865321679116,0.5946639273976888,0.5225668917810692,0.4775429569478767,0.6755579710826106,0.612909247640159,0.6286964429046593,0.6329733510733648,0.9608917191846655,1.5892104620497711,1.4707201968508297,0.7636007054674879,1.1509662488961134,1.175460138289331,0.8275501874427745,1.7214031044884444,1.019719432334042,0.9167717528467633,1.8115435091349164,0.9326261806479462,1.355227256527961,1.1096058441265275,1.611147967993024,1.143678800374215,0.7725561583661574,0.7072106154584541,0.6846600721678647,0.8136159437466397,0.633645804538125,0.647399675584856,0.7817938830554693,0.6897554352301164,0.7856784568149021,0.7168363082601685,0.9424982873437393,1.2411971352486684,0.9066237769485368,1.0059266412865282,0.7217037085126254,1.0451608908117536,0.6500652628358979,0.7166098946898573,0.6948509370414295,0.701795869076169,0.7231873155820955,0.7061068773642529,1.055414160381308,0.6050364160149309,0.6522543852839543,0.6067335455085068,0.633513668866544,0.7084984992804558,0.6453877513029844,0.8461709611265459,0.736738680460396,0.8846918398815168,0.7985344016926176,0.747496217135296,0.7178446923994233,0.7967907516115785,0.7378659100734873,0.746492153457197,0.7377724790470959,0.8807218534843765,0.7423111136941705,0.915264300062091,0.7278119788017261,0.8062004444858508,0.7706927540385811,0.7265538956479488,0.8752250158701004,0.6971954076408268,0.7172241183031139,0.7789063352940434,0.6239071556504575,0.5589145541808473,0.5169566884436005,0.5182027983550495,0.500922368838491,0.4741950547671107,0.5211480117412401,0.640833755671662,0.5838698796371707,0.6012699426263038,0.5478645315832416,0.5161722846617621,0.46418618371562925,0.4397666732978857,0.44575158834706685,0.4525516057938524,0.5422208031177317,0.5105103939026198,0.5496344871936196,0.6013751005458077,0.576851472928749,0.5946769132379546,0.5817834140793738,0.6242096099100647,0.6165168016243221,0.7065513739839151,0.8177459885154029,0.6711237370516444,0.6516648546579776,0.5131220891603565,0.8015276485183176,0.6854065214935803,0.5089075976109226,0.5056061041648626,0.49808593333348633,0.5131539349163174,0.4685188516508749,0.5301941262842037,0.5430400356255388,0.5962456425470972,0.6584107890104787,0.7443689675892853,0.9610298045980529,1.4600660414807818,0.9987658087400291,0.8128992679676809,0.7237655141723545,0.7259223811959049,0.6282189076839929,0.6754923174268652,0.556779141222836,0.5244488244781118,0.4382434154051256,0.4672534179061695,0.5414190413959385,0.6736538559074163,0.7105273124523777,1.119491729978885,1.2384738834616829,1.1889894569121975,0.8027367517832739,0.7161499542209853,0.5399361382828067,0.5476289848998117,0.5203221243246501,0.6381769979226642,0.625373798626444,0.9177182194395103,0.6127002434284776,0.7226528126838905,0.7572379061687434,0.6053518758383687,0.6039801204111376,0.5835467995920772,0.5395154979068422,0.5516016479509913,0.5349246595349785,0.6792202488128329,1.3049006770157017,0.8071957042171274,0.9865135326079127,0.6884054101736885,0.9421734652476493,0.8920373232467571,0.6798296948424096,0.777428335576767,0.9270780970458643,0.6764592256915605,0.6984259599394668,0.6833486974624371,0.962895088713569,1.091243384017159,0.8093584595397202,0.9206508792685656,1.3185214919506447,1.2975526896859326,1.1300288005897685,1.2846124771689373,1.7584829349146158,1.4400206496636063,1.392270662424565,1.7748140409884454,1.9252980528882515,1.5754027080090125,1.721157581254355,1.4296854296798502,1.998638635852285,1.3494787105450898,1.3912565111958466,1.6976617260782394,1.7198183225569215,2.0694804753424587,2.0776023226219222,2.4165863491667237,1.8423598829663204,1.7931881324250105,1.6727804260973846,1.580140946671768,1.4680174107051294,1.2676090367900852,1.3205770969738302,1.2117945970071855,1.260866576397363,1.0278871575679431,1.0996366102071433,1.0990609012137005,0.9424863915867816,0.907410590433652,0.770418012394883,0.9139992293303734,1.1102668916228116,1.3861911482049465,1.5493643085871567,1.8394210207987673,1.7766634536999097,1.543869332525311,1.8543172117564601,2.0159102365346193,1.7222659776350555,1.8034758252765926,2.2170356891430028,2.304856954818839,2.0555865496591155,2.245443159712736,2.538565303060851,2.5285965762896634,2.2815323282517603,2.4171428017735668,2.133250467866694,2.090889884993811,1.874491060698655,1.838519600233569,1.8942928475256147,1.594066681529955,1.4732498153803055,1.5100245550293951,1.4322884779005176,1.1625448926640252,1.2634758975241207,1.3572542188242163,1.1074520482620072,0.9952204133426482,1.0608724075634912,1.1822845082237146,1.1456897118658567,1.3405236060243173,1.2496871430873473,1.432378587834445,1.3982242825973996,1.0954243977422338,0.9950193304100001,0.9058789560658852,1.1462869438880363,1.1904820217482708,1.382857068025595,1.674680876925853,0.892321232635027,0.6746556837313177,0.6502148695118868,0.5907755907282094,0.7043415592124341,0.6138878565573536,0.6779717929543999,1.2401163599047054,0.5548147738193974,0.5768468470573899,0.5739288145487468,0.5482898974856676,0.7528688813882538,0.5191192942771496,0.639273344021175,0.8204578928813516,1.1836156409324343,2.264566917652402],[1.8441245137463396,1.3563661741738693,0.9699206247044705,0.5700228132568342,0.4955167635823056,0.5111500447262594,0.4521104153907125,0.5711517104716122,0.4827826882281818,0.4620102626226811,0.5371781101285446,0.6695188470297359,0.5477479930830319,0.4815229544944079,0.6743723683293364,0.6586270886195761,0.5799006553620756,0.6495614034835194,0.6662345010387593,0.6142068936333522,0.670130692915735,0.8429662991192327,0.8580011059034998,0.9012854538936508,0.6264940637874479,0.6593681359578075,0.5856325121952257,0.5449746732215601,0.5858182938891694,0.6328355663217677,0.7321841405946213,0.7879544547567838,0.8936017515456082,0.8565483376235622,0.7739465611638886,0.6772227639250065,0.6879021559706219,0.6198006617207855,0.5506545709636149,0.536585038508059,0.7646099445292048,0.6393669484803332,0.6663020490621384,0.6509849490119703,0.9826825114907354,1.6164613790893168,1.443258134828878,0.7878215101463253,1.2025796456043345,1.1453804795324116,0.8265798119412042,1.7234810499411677,1.0505632000220684,0.977557416617069,1.8454122123620036,1.0241742688303845,1.394506290878374,1.1417188740623838,1.6997429691902342,1.1272859188553503,0.7932325718293569,0.7558204179422277,0.756858952859103,0.8745822940813874,0.6786630750736647,0.6758537980678548,0.839699077324958,0.752247211355118,0.8348566931355109,0.7552879231194137,0.9863349642640801,1.3313110673730695,0.9540506290834961,1.0598781908359578,0.7522416795390386,1.0991591084404306,0.724947118970063,0.8174389276371496,0.7734996700967162,0.7587458862115921,0.7911999390327287,0.7473928890438916,1.1155013810365064,0.6835723327373276,0.7093256335956907,0.6588862202715257,0.678543509452512,0.7734812233959952,0.7039208123698307,0.9366570469885038,0.8147873450316546,0.947521969330111,0.8674742098420151,0.8420656792644915,0.7909904452977499,0.8808944097916619,0.7976122006036663,0.8195474969117703,0.8101661277272192,0.972091447707442,0.8418934986115326,0.9858667665929932,0.8148770839914988,0.8379456603896128,0.7897273834577428,0.7412200039325952,0.861835381105199,0.7371860784519406,0.7689381655702381,0.8016225501657627,0.6449912468261917,0.5344266500069575,0.49479087331349964,0.4696581487375901,0.4746121047896223,0.45530976780391724,0.4732239159734865,0.7547492570274758,0.6280753732901911,0.6492679174606322,0.5971220343825555,0.5331033839074777,0.5181041569366001,0.4199252745731834,0.3990242233587269,0.4106810585531446,0.5067795862612021,0.48651214841012713,0.5409449505757086,0.6170960778894797,0.6099033812798479,0.6102897559520701,0.6168233580550104,0.6531529859883544,0.6595915740223226,0.7388479103988832,0.8237436187568544,0.7067106393706329,0.7285509245040133,0.5762813111028238,0.888570403217566,0.7614927350105977,0.550679587354199,0.48670517018032833,0.4878668350432388,0.5239618614404553,0.4562765774904016,0.5404495811236512,0.5584131542459909,0.6143778748686344,0.6974535104069491,0.7919269066528652,1.0533379072007196,1.6439871203648289,1.0803621199191962,0.9066941878927105,0.7995905584705794,0.7811492794229835,0.6799752809903107,0.7128849970613599,0.5874390397162039,0.5511014709878447,0.452048544875673,0.5094141005357213,0.6124094465280888,0.7071989003093508,0.7160683495415101,1.0944272865864797,1.2186563439966438,1.198904967496589,0.8184338694144283,0.750678780442074,0.5960219594582981,0.5876741469982382,0.5722009221913462,0.6693510095366492,0.6750106339639635,0.9412152841561733,0.6649986562198495,0.767199114739463,0.7264290188426281,0.6181561436678924,0.6176710944525284,0.5974760381246591,0.5721624142472332,0.5923644091236144,0.5861110575809118,0.6620212684009733,1.3097213612094583,0.7665615860630144,0.9540094235880167,0.7403500041591867,0.9719834964735531,0.89476155932164,0.7163636458464377,0.7816575694113509,0.9735341421756923,0.7364140985437723,0.7557067485308803,0.7339690944513829,1.0621600982113564,1.1946674302765945,0.8829113945034635,1.0155541184609376,1.4338612106582211,1.390118745181408,1.2465673798718189,1.3798245248697563,1.8647292843329604,1.493887168211076,1.4610721774780662,1.8339084863011321,1.942532168452723,1.6540785642817268,1.7542083153964276,1.4663568972247156,2.0974801652627075,1.415888468824037,1.466855271175113,1.7897900375096851,1.8277807149331142,2.2304936655642624,2.1934255601532917,2.651403308784442,2.0086453655664283,1.9765391967921904,1.850160461800324,1.7826709064639656,1.612092118629627,1.3991700662509523,1.4690781019274806,1.331781414992338,1.3502448677729528,1.1306878744725806,1.204222128124028,1.074091131321426,0.9700445403690272,0.9388405999240803,0.8330338743761957,1.0309457223508274,1.2329865999842646,1.5254628043719527,1.7069298910386557,2.030141288392985,1.9445745682590472,1.6825221912527832,2.0333387115846215,2.2107247669143173,1.852820856553512,1.9510279703906783,2.396916490672564,2.4682068101197445,2.1734481975343365,2.4010912476120314,2.7083664912155228,2.627184574559964,2.3866687638083888,2.550967513656424,2.2652894044011322,2.2524256211239777,2.0366557163178145,2.0144391035096882,2.0535053597396034,1.7101217445369774,1.611870555108887,1.637347519332953,1.539784424572826,1.2622872547282658,1.3730079507399318,1.4381655143019814,1.1884214935186406,1.038475824895768,1.1247260675269728,1.179762803864582,1.1767212957826023,1.3357004731493232,1.2459666072354223,1.4405191847275074,1.4457235332962062,1.138987423251557,1.0663161521058735,0.9484107114770473,1.2108566962945455,1.208364028768047,1.3709947749025901,1.657144988278929,0.8985435179265774,0.7023036510917425,0.6856827770329738,0.5873819822836162,0.7583683541697979,0.6235139542583151,0.6598033474521072,1.4449060432063343,0.5568162252752401,0.5666527659731297,0.6679856045358143,0.5797505028700461,0.6744036012936829,0.5690179953615093,0.6975097834613663,0.9085061622309997,1.3558419569943045,2.7534363468098455],[1.7594484616292136,1.2641814148391137,0.9793933300404202,0.5019540795410237,0.553131101728964,0.5686722402636772,0.4755127951311555,0.5933776509350737,0.4655455342931726,0.4159585361133015,0.4814851670686151,0.6246672804720471,0.49550629236404803,0.4395524720288872,0.6229687409741984,0.6051796530177327,0.5327315213826176,0.6061093496581071,0.6423768923724857,0.5868613116248772,0.6555046862628835,0.7850182174961149,0.8276857046567689,0.8998183984272806,0.6259519560581768,0.6485397231355845,0.561890875412638,0.5075590963895176,0.5380503881441303,0.5867860292711098,0.686955556451558,0.7361094169029126,0.8438064144986028,0.8045510755054186,0.7222273132932888,0.6298687382596331,0.6368691402727824,0.5672716307848059,0.5126720525654401,0.5122491915438405,0.7178509253805163,0.6057051764523608,0.6287431815634015,0.6412662805481716,1.033258366410577,1.6676408885248901,1.5124856683957089,0.7594148482736236,1.166452921603609,1.141359380992203,0.7965044650869711,1.7649792440892649,1.07433666700457,0.9931224313483861,1.8079321222596005,0.9763706116905208,1.4275667745851113,1.099106683350622,1.6352424092136921,1.119614051154118,0.7811452581800654,0.7224967950553156,0.7355922583510377,0.9142769668295296,0.6757768910644845,0.6434596505182094,0.8323459214434443,0.7347488319050445,0.8608103252523694,0.7517450755015408,0.9912820562484423,1.3648885281032956,0.964763207310209,1.083848658837721,0.7385519678537865,1.1306539366017556,0.7029426675598516,0.7860265804862576,0.7293031425497174,0.7185834739892953,0.7468438051919368,0.707405736676731,1.114520527412012,0.6788469257267249,0.687314955257239,0.6216779218499305,0.6203622592160418,0.7232290465189143,0.6564777447075142,0.8840818901843254,0.7657723696116673,0.9107543806413415,0.8249860042249288,0.7924603771487837,0.7411389063051849,0.8276443308416862,0.7427885288269184,0.7662602267648558,0.772867879753612,0.9736427823640514,0.8201270012155478,0.9990205032732974,0.8081691869373173,0.8657151202623115,0.8264252263229028,0.7844595474809816,0.9165736163194753,0.8045321456147866,0.8372957829394128,0.8515515526700286,0.7031397775142388,0.5594281984294771,0.49835922153453216,0.4674304251213963,0.42910441287184037,0.42270000565129195,0.44948494765322095,0.7869694394830753,0.6474807005145788,0.631054614888561,0.5935005577988128,0.5191823653424918,0.5217379175465844,0.3893560610379504,0.37580209940687537,0.40284146445202984,0.5254115871348735,0.5057617563057395,0.5776501017828785,0.648135865776705,0.6282487914930863,0.6625418246474548,0.6305026315069036,0.6771850782262326,0.6502520782311373,0.7154508081784281,0.8213179749651319,0.6751198032931917,0.7056041132589168,0.557813925174913,0.8862216770177052,0.7652076400732755,0.5539800762998862,0.4621633232136142,0.44983549542361423,0.48612456499071344,0.4195421860104754,0.5008843404022699,0.5436948859416767,0.6022625599733188,0.7221922140061244,0.8100939781698022,1.103299395484558,1.6727336741179044,1.0998505093863964,0.9223971308896199,0.7869527456084487,0.7981980665871912,0.6646243081011164,0.7219423446309314,0.5846969312990834,0.5170104591937568,0.42292371745843854,0.47242501851014224,0.5723978959778377,0.6926786000181279,0.6999391526732526,1.0873529919504417,1.2015881949800564,1.1718941185381682,0.7943846368701725,0.7192659900418801,0.5674422584323603,0.5619927842902415,0.553225420033968,0.672377635875094,0.6530394532622676,0.9308665391272591,0.6483552903915905,0.7667254331163298,0.707712146316102,0.6347892130335974,0.6388993144901545,0.6047265518547876,0.5557442027962941,0.5601993711959323,0.5404186125576539,0.6492270897112722,1.3134444946380015,0.7754039926244545,0.9522406157445994,0.7253300661660311,0.9631463547358992,0.8938208400997775,0.7141959991383902,0.8043853598652911,0.9696429642413761,0.7670369045766899,0.8060298264368003,0.7997356951342823,1.1424685890485258,1.2764172253896233,0.959024823161264,1.0793251196319975,1.5177134348160632,1.4642341087213837,1.258546817102831,1.448504646363793,1.961159707096982,1.5610508752149082,1.5245790934888184,1.9250965186052795,2.021451397291462,1.674773589579901,1.8265277677919527,1.5177147226141399,2.183303683737641,1.4672187562915782,1.5530966696579918,1.8932418176566728,1.9821549576600073,2.27910507377649,2.312921457313422,2.7762651374764897,2.1237154124043216,2.1091728906315423,1.9805340460246619,1.9032974977976884,1.7230983977740502,1.4905741810693576,1.5424126197167713,1.4149237633938667,1.41091764025001,1.183047681227603,1.250384394654915,1.14912621644704,1.0195541990126733,1.0064330267974038,0.8985619257223935,1.0800026810628935,1.3017174272981387,1.6161295540755447,1.7977173636234418,2.1634704662328965,2.0401332881837333,1.7720943321999003,2.148892599128918,2.322580766215517,1.9418767448094787,2.0418944588079873,2.5059494837333585,2.563189907596991,2.2624568437527492,2.52754679086805,2.84778146311903,2.739200563603216,2.5127794089657898,2.7067830815163725,2.402884973436047,2.3922858397670868,2.1562352958610727,2.1452433275998626,2.191756281005479,1.816593960669771,1.719156760846958,1.7554539573818513,1.6499052964349343,1.3448385238740679,1.468727030994534,1.5438041237347515,1.2472070067266288,1.1101992758451462,1.2103939480351675,1.2971269944437898,1.2301281427139539,1.4071535235979322,1.2903531520753742,1.4668258043166924,1.478447030324201,1.1654996953014873,1.095076316595332,0.9978425854078791,1.2224527160483598,1.2408221967730027,1.413379962977424,1.6937996017729537,0.9580321773004735,0.7397673856981711,0.7300696407281158,0.6275776250433951,0.8257442465891967,0.7342900272119902,0.8087782464284258,1.4815553705507283,0.6559474526851139,0.6947819198449096,0.7973072349726382,0.6584454109147793,0.8283825385806083,0.6918197995541095,0.8264158933339006,1.0066959835373526,1.4376040297470196,2.793849161192131],[1.8112318338874984,1.3113357775217573,1.1579757124622416,0.6316190448331913,0.7232604366699751,0.8187839061877383,0.7473112168818634,0.8496661392127262,0.7004845569956524,0.623692869970762,0.6582887610685287,0.8144187151838934,0.7006275616664097,0.5820969101604326,0.7485739598197941,0.7613902519954905,0.6846082171890202,0.7187958968092121,0.7040432453178362,0.6860728617574113,0.7169142995720262,0.9273119307401817,0.8904566024386019,0.9258781956612135,0.7007874900982201,0.7146001750351401,0.6824680822649175,0.6543116558829756,0.6989002805149502,0.7685517492239985,0.8165604628778086,0.9253868652618298,1.0082084286893704,0.9538243277054199,0.8976514548613911,0.783805893373525,0.8323651921712585,0.75218868861432,0.6986423899534205,0.6806052817935608,0.8713165345201197,0.7356735400970962,0.7606786907820056,0.7642679635137726,1.0375179967935988,1.635764860013653,1.4838564405969508,0.8898065275047031,1.2778031770045122,1.22937207681136,0.9825603819981781,1.7376185260607542,1.1325259187042922,1.0709419783349081,1.969549261957612,1.1318511496392776,1.37298011496093,1.2541503466578723,1.803910399506355,1.1853855328071579,0.892124540468943,0.8224384167416741,0.8173056699289802,0.9015139985405819,0.7357868479676407,0.7399293594703374,0.8573778210781867,0.7929676266959069,0.8322846742723586,0.7710637162272497,0.9702224854914568,1.3224530279610827,0.9705279758058887,1.0618244274255568,0.7948568307950322,1.1056494129763246,0.7818458871822958,0.8837233730252912,0.8721539689376884,0.8553885081510173,0.9158112771997657,0.9248289448822528,1.2087641044707202,0.8773674404498442,0.8344166535561535,0.8289758860821386,0.8138493972078109,0.9218089310428945,0.7992989947942282,1.0220185656971092,0.8813352506667206,0.9964686194937102,0.9277856797032529,0.9117823552126699,0.8667353590717122,0.9297690778600585,0.8565912342889936,0.930015584968511,0.9465309288998313,1.1243708537047838,1.014289239508278,1.183350031560723,1.0316105762702628,1.1008829948266206,1.0623939867736347,1.0168948987292787,1.1338474534482408,1.0675748800654494,1.0932445686994545,1.0659804377422593,0.9649796452497718,0.8356400072383394,0.7653340258846381,0.6968989332707605,0.6392775814358305,0.5825544704629594,0.5871319200558128,0.7399146263189604,0.633038622542492,0.6671658257940278,0.6087528997318452,0.5827379295889664,0.539629809105108,0.5601313617770441,0.6021474217225341,0.6462597340216653,0.7742127039909616,0.7766587283394795,0.8628062637609462,0.9202906821555048,0.9073306386651946,0.9405957712977214,0.9087096494672148,0.9378691617878139,0.9110721914091103,0.9445833273904229,1.0656688784837358,0.8541311944378164,0.7910711050034391,0.6785789983436995,0.9308193337104256,0.7992423709681502,0.6176983407093376,0.6270911196848243,0.6409081308639472,0.6746177184962321,0.6362557357878037,0.719733246907315,0.7942214094949198,0.8286767231955724,0.9629640020519822,1.0257497227553096,1.2979604519515666,1.7239972382540498,1.225422157582727,1.1072496926493292,0.9914607045988573,1.0144890526683823,0.8856235955190218,0.9501818376092093,0.8143596403991454,0.739796200066327,0.6433932344560489,0.6902410887516416,0.803011402455092,0.8323777351682884,0.9109303980915013,1.2485995539434003,1.386455542341887,1.322686358470405,1.0028062519208778,0.9046439289480829,0.8031804482779314,0.8138605229372963,0.8054101191614446,0.9103104742480389,0.8818478284490144,1.1183147099315558,0.8901302958138562,0.9949081980271692,0.9054349126547102,0.8869568764539748,0.9070751580999418,0.8920845607148434,0.821249927481828,0.8081026017415207,0.7599461869225326,0.8035664287401886,1.3160247176550257,0.8982517683456313,1.067089315986107,0.9171536705214361,1.1600529157812232,1.1146145927448619,0.9936359832105083,1.0440169217476944,1.20879353150599,1.0488017768680806,1.0826282731520038,1.069464398123513,1.3959958234380967,1.4902178035892344,1.198238562587619,1.3159614001784894,1.7189462366350257,1.639681329529048,1.4460980611909173,1.6388302257916736,2.11107537226449,1.7062277214262378,1.6857152325077203,2.068846849946438,2.1337722661245553,1.780887568237698,1.9575817013803678,1.6813952403129473,2.319839445479993,1.6808255241556038,1.7609586374600776,2.0814356799354377,2.207970307980024,2.427668678884766,2.5266677301808125,2.9439827453078786,2.323691645411587,2.315628282830559,2.1789626390620103,2.1184302545188114,1.9595493085766273,1.7261653892047069,1.7527524711434443,1.6811048955130063,1.6619663679766943,1.4386732043406099,1.459368986749719,1.3972469493036996,1.280674381463183,1.245103463495553,1.175764430126759,1.338039383034549,1.541463144877289,1.825471648252385,1.9759666467245496,2.3373634024220804,2.179195703510123,1.94585779917681,2.30104530003014,2.4453540776774028,2.0826455600690004,2.177279731967277,2.603374767593565,2.6408003757863288,2.3747686295346866,2.6455592839887125,2.9392680000615017,2.8316564737086414,2.6343105932387902,2.831297798318003,2.5469377734743985,2.5404366104448615,2.3148108000036003,2.3243437517662273,2.366130335878973,2.005304373604651,1.932545318577123,1.9762981871240317,1.8673191553165192,1.5809005843227553,1.7178179806750429,1.7723059905333483,1.483898787492893,1.3630524660692227,1.4584333244877847,1.518696637188343,1.4335099589715157,1.5982909875937281,1.4618410535794555,1.5509885951154894,1.7036497229272791,1.3320398835373803,1.3106539087294413,1.2103364297291066,1.358139111252692,1.3485464555221585,1.4661575014978092,1.6556533345786324,1.1487457344474186,0.9381324990370699,0.9889235746815426,0.8941032816528066,1.022359609337518,0.9789241177904061,1.0546106167417144,1.5451883890622242,0.9050640589350594,0.9350823590018882,1.0176378938423765,0.9083718503573978,1.0623451432260718,0.9127279336537679,1.0640827204546577,1.2165803124512065,1.5962036552409855,2.7387300499756955],[1.8310368779643347,1.416846989485548,1.5340838664498766,1.1737897183666335,1.3266850301192363,1.3821840028489063,1.3447006591254511,1.4258245705254355,1.2193689833435646,1.1135739154850377,1.1025334392228348,1.2372343993728112,1.1981351812510865,1.0272802986014347,1.15320149864137,1.2142277929462357,1.1577732516831363,1.154123505070168,1.1273488305412782,1.1300129654829638,1.1419341850753453,1.3961847197262267,1.3008306960413227,1.3134708605445986,1.137188642724437,1.1667068055569179,1.1845228085377502,1.1616531476413765,1.1966736093705712,1.270614383989794,1.2030163826214335,1.3510585233509005,1.400465137694549,1.3260676814699217,1.328875152981235,1.2440310803734356,1.336261186527762,1.2768418904311432,1.233954030046108,1.1705800317523294,1.2671947847909821,1.2224232051299229,1.2566063066669024,1.2708965613693823,1.2213336679827773,1.5604724023388954,1.468155956062434,1.4082135897005617,1.661185858436184,1.5297203551850171,1.4820355894579382,1.7385534247750234,1.4163077909345456,1.3749165225477777,2.4245358788002314,1.6460444788236055,1.4980186611850148,1.6833069509982912,2.2601896675928947,1.5369804179939053,1.2755521380912584,1.2302923685472715,1.185835888355292,1.169673160717033,1.1598807810017593,1.1669078271144382,1.202531567027606,1.1584610136914237,1.0821061968609775,1.0802027395883411,1.180657074725134,1.4282783358215898,1.1735490198061302,1.2406264896043901,1.1088230390676994,1.280861012053845,1.141251559511409,1.2227502667535797,1.27554652284988,1.290355131791791,1.3971197718035353,1.449634617577156,1.5780177904732269,1.3958651480706543,1.3854067345307328,1.3857565832708414,1.3438620960526528,1.4028226868930198,1.2525903525268283,1.4006221037011137,1.2435812488461802,1.2576999415035444,1.2117975918239778,1.2185227144452278,1.206179211008978,1.2002306217496794,1.1774360755857127,1.2978696351110786,1.3434642937742434,1.4971957178757156,1.4598769126610323,1.6673730691429238,1.5603768921798356,1.648083084352771,1.6293671978265851,1.5749905060447977,1.6728885617178972,1.631048689677926,1.6572674901251272,1.5808969175578682,1.5392063192894687,1.4430818863843038,1.3654899588894611,1.2928847483435377,1.1825806363986806,1.1427474995580478,1.0856477960960014,0.8022776741077989,0.998291538114862,1.0341350590775726,0.9815179593335406,0.9873194155993903,0.9630135206357409,1.103174633017423,1.1675517302636815,1.2452828034791354,1.3372266892631572,1.3656605376108701,1.4436573305409408,1.4841358005615126,1.4346155698851415,1.5369809382790478,1.4483931249112436,1.521664339310681,1.407433864283718,1.3377889216272274,1.4171872445238134,1.1744202433695108,1.0985001592594599,1.1286776877571167,1.2546556950462364,1.151412650737176,1.0790780184397284,1.175528699964945,1.2154069920883133,1.223038011764867,1.1969301484644503,1.259775258040646,1.3686919878605055,1.3917746191131082,1.5354791661560345,1.55540893777458,1.7806353881505215,2.0389418131976256,1.5876200018348732,1.5700321582019445,1.4821469709463344,1.54406241983619,1.4168817025113347,1.527663647125862,1.3569789362837779,1.30264490357353,1.2101251490851104,1.2759836341635302,1.3382408697727446,1.2139145355402534,1.3105902737755186,1.4246279302334848,1.5426674126746729,1.4538045715150434,1.3266725512973683,1.245839771738243,1.2910796706844874,1.3533903271304415,1.3888162890653943,1.4854392730765826,1.4312556419479587,1.6221573495848396,1.4649060011603263,1.5542675851809309,1.4079197290311836,1.4770240830776653,1.5179930915105553,1.5194946219460697,1.44126508295324,1.4227145364724834,1.3221111369402736,1.3281259677778166,1.4832186131042062,1.3422521828051286,1.385021325495666,1.3946316221184019,1.5639487493418913,1.5306517957211137,1.475579929462154,1.486825778616507,1.5251954742131264,1.5234878051070468,1.542848544108647,1.5678716174218514,1.7771191791289902,1.843588098997424,1.646344645914287,1.6815810536287865,1.9790785844776186,1.9095760897923484,1.7200237794464457,1.8608789500024165,2.273748385112822,1.8896630875170481,1.8505985374558471,2.158143126233075,2.2062896177113434,1.863955806397875,2.0120434126814093,1.8184704844423953,2.346735839684222,1.8136408369059558,1.9352199791716798,2.17302251208104,2.3955746641999363,2.463080042096485,2.6245191590554295,3.114454683672058,2.5147963006797793,2.5573857712789763,2.469528394527747,2.418726477691746,2.209688641161465,1.9974778225860759,2.044723050157791,1.99760373374698,1.9491138005682245,1.773180037510772,1.8200427141698488,1.7382336675667551,1.6572378962915606,1.7083410691171208,1.6115366831822573,1.724975842676266,1.89683945214027,2.1347285476277174,2.290320469222356,2.671711564671806,2.49363390247348,2.261059403484191,2.558417634546316,2.7108369186723147,2.388398976287085,2.3871378312281135,2.778104154134478,2.7862454488788924,2.5244360126243324,2.7964884683090805,3.073940488447876,2.9127457167297437,2.731004740964533,2.9482866537915444,2.667436195310902,2.699338304281915,2.5134046373679984,2.5348649087893267,2.530201940146542,2.188397484527179,2.1715206668333917,2.1816496256736277,2.074533921586665,1.8499885591862695,1.9682698294453616,2.0204543800747983,1.7714048996087035,1.709922172018032,1.81661259367466,1.9084146048076855,1.771454597850911,1.9512506266490248,1.8411112018050413,1.992485170116973,1.9539500768800706,1.8054623191159953,1.6594896506111452,1.6108374070706022,2.0051261735395114,1.9521104380957324,2.012867921911171,2.1758398785730724,1.670078415137646,1.4573608165482104,1.4767908914250198,1.4646387251866255,1.5213064357473387,1.6027346570820606,1.684888586393736,1.9250108522924285,1.530796879097799,1.5455632196970464,1.6218890979194713,1.5205915109107466,1.6792787121573938,1.5451401178653084,1.6401265984181188,1.7422893719064765,2.0010883585223733,2.953527384040845],[2.002719925116952,1.6899834492777515,1.8752615941766226,1.7440084839161247,1.8479055301012437,1.8574108686998563,1.8422514991093673,1.8304961599784062,1.6835110304108283,1.6238559999510107,1.5858114395415612,1.6359828064829696,1.6581347784124207,1.5642291342677521,1.6161137065708684,1.6645642447500952,1.671448598050494,1.670457694838768,1.6952336819035,1.6627865252264196,1.6971303711565653,1.9334538846730014,1.8490962052157869,1.8651710460825095,1.7058991096491198,1.7505964094150206,1.7414401652298692,1.714757968327922,1.7085691256626392,1.7185621570862577,1.6474711054230502,1.7330620669127812,1.724470601471408,1.67431934681428,1.7188885076983356,1.6917360588872423,1.7319540694040292,1.7568185429876606,1.7230471325063876,1.6160456276848456,1.6743326259370739,1.7433626691001554,1.7540933469168336,1.7710982434925713,1.5769992062939695,1.7099818264701658,1.6978328134526233,1.8630253783088218,2.0126971171980768,1.8701644854850992,1.8706900398261865,1.890939398312711,1.7546792656685413,1.7143879954307433,2.7827601495552403,2.0591872951494636,1.7593130419005405,2.081634700564667,2.6077146253492525,1.9799286988598541,1.7152226499046794,1.6714925887820316,1.6218012459437408,1.6022912930140798,1.6822257052508167,1.6636696181640425,1.6999601026370215,1.658404685268216,1.592196006188636,1.5983346559184721,1.6664293262092666,1.785700613819597,1.6388371065454441,1.6887448791484003,1.5851568366795705,1.6607866818233523,1.592603312975114,1.6111117841094331,1.6827872918285802,1.7227749505484637,1.7817371339849368,1.877446812721026,1.90959178046031,1.7467616103494303,1.793039621363121,1.810401550038309,1.788738034280203,1.7649200668500986,1.7034620836586292,1.7602239657390404,1.6614200128591237,1.631839395141286,1.6022248557541368,1.5800387624929777,1.6028257000912056,1.5606124142839328,1.588302772106593,1.6402243846894589,1.678557817929946,1.7369751823842219,1.7549192229758939,1.9095212647682531,1.860206863081929,1.935073134367208,1.9266511749743171,1.889749934348097,1.9479855538633626,1.9119933144851404,1.9412827659624927,1.8583686811177615,1.8737173182102074,1.8650957968264734,1.8184955345839038,1.8021706136157167,1.7156743251556177,1.73702418105915,1.6736325552878457,1.2992847343770701,1.5978715227968259,1.575617343923647,1.5777683921489127,1.5839447337117971,1.6024715304819028,1.7169902704255238,1.7412297083419195,1.802990046175099,1.7910845991300524,1.8095663540477704,1.8314121317029013,1.8420335046027685,1.8007005270327945,1.8698586774097965,1.8042147179610835,1.8654248642603632,1.7862067913963127,1.714673611177226,1.7774851970795507,1.6200986668576516,1.6126084838684298,1.6637271676258596,1.7753637335753496,1.7155047485128883,1.6694360033271518,1.7536395207255837,1.7688957958128633,1.7295418586740576,1.7276754743230653,1.7251071969737797,1.798866244178712,1.813470777325538,1.8748067976426954,1.8693340468775732,1.9909062386842193,2.134741113354075,1.7884600943266844,1.815705101265594,1.79709456949009,1.8521356215163989,1.7801101926184002,1.8749738661498918,1.7723503958169675,1.7459068788364045,1.725743282214267,1.7502671115645188,1.7583792113988341,1.7178127021533072,1.732479957882103,1.773002614267851,1.85132576287336,1.7680601216541803,1.7211598695411467,1.6660884559772,1.6981623875700456,1.7386629994472353,1.7805611048665082,1.8344295299367275,1.7999664292104378,1.9296496058933992,1.8220281877975866,1.8695966065309142,1.7681111184439944,1.8337159067381175,1.8723065698139958,1.8925610928803147,1.8465316104404699,1.8470409254507856,1.7690885482006602,1.788588759058186,1.824560431590912,1.783742982700759,1.761419417820278,1.7965343387113115,1.9153335139594547,1.889642697385915,1.8126855990445345,1.8251285085133437,1.8308386754946953,1.8212412660429353,1.8270279719497935,1.8478886099258587,1.959755736554964,2.0064388182865276,1.885256671806288,1.885360799668459,2.096729783756815,2.055417903419978,1.907381665925732,1.9821606421288058,2.354294621889278,2.0220073644942227,1.9635414837935523,2.2306620099082566,2.305517015969094,1.9437915593885546,2.0614496684476147,1.9184611528106792,2.380701372109172,1.8992779091447674,2.0138484362189373,2.218798116763629,2.424618268262571,2.509407059338585,2.656630274029613,3.0907614491451083,2.5500036449104706,2.59674772056346,2.521797318651205,2.454935196911019,2.2776720227014255,2.094495436139267,2.1355628282835313,2.120079978749658,2.09012959124186,1.9438340074008307,1.9914723061825312,1.968327864046002,1.8840275880549031,2.0043148959159662,1.8494453148235688,1.9168518585514467,2.049767206856702,2.2472704252760702,2.3920370767846615,2.746334829395691,2.5768644257088047,2.3711684502217296,2.625968436050674,2.7738723220612123,2.4872781978925933,2.465890415981945,2.837682330540065,2.8468696491631187,2.5999293942501596,2.8585443625359046,3.1424085673196296,2.99555401880514,2.800764460338169,3.0204826586128495,2.7243212931483636,2.753483701263692,2.5747086496642306,2.583446872058323,2.5748993664094266,2.258817871214155,2.248684723718178,2.241771975361807,2.1428236852501112,1.9702623476675236,2.056554428145797,2.1116298321502165,1.9209697284299458,1.8940229604274195,1.9549873512042952,2.0801851497192976,1.9589752535944682,2.166328106097657,2.084057010956637,2.2930519576997015,2.088247174556754,2.107814651811087,1.8864878555983577,1.8776349438728162,2.4129480888067145,2.3512400057136214,2.40230658460793,2.5548609755933165,1.983836560464489,1.8171033245792934,1.801315316268102,1.865596191213078,1.8350791916736617,1.9040511070294457,1.925697699160722,2.0516033348020475,1.8801138411871765,1.8504110813389372,1.8695483136922475,1.8807850165243016,2.0944532411922743,1.8577167753873582,1.9052720668375582,1.9927120474751676,2.1135921390932193,2.8355434238194963],[2.362858540256897,2.05713164265377,2.22865011303826,1.9280107216399227,2.0840648971473565,2.0617281829218794,2.003143250508061,2.0335433378375516,1.7652217500893062,1.642080058554799,1.580498645448178,1.7006905998250939,1.7086867709028588,1.5181603770739935,1.588898877224202,1.6901448651971558,1.6728638756272054,1.639241151401678,1.6043776919347168,1.6415731996484948,1.6302533432480448,1.9007582833636993,1.776146850670515,1.775671718613841,1.6593588167884916,1.6760233666638997,1.7275517176929243,1.7102074887509993,1.7355032681847102,1.8045664637807814,1.6487360206491914,1.8388623936792843,1.8293653002677681,1.7539576898663007,1.8102823997598971,1.7526440322646144,1.8690041453305604,1.835645529809647,1.815242281280907,1.7615903239093413,1.7521244933385687,1.7751041498696638,1.8052061115046616,1.8325868938412655,1.6177311710296147,1.7471166549431987,1.7593808557742863,1.9364112733077976,2.101235763098248,1.9896765689607998,2.020854037087482,2.0526741709883987,1.943075762819678,1.8851755658214135,2.963134805125786,2.1985662635514935,1.8280979369660257,2.185953695808965,2.7072085186203907,2.0049119393084043,1.7654354947476,1.6969371165869604,1.6443888513235259,1.5717958607042504,1.6489777062336115,1.6497199071151847,1.6357375854954554,1.6057100680058325,1.4823173473537385,1.4809274609341188,1.526631600677231,1.6527864842313935,1.4995886150227933,1.5660200524098358,1.5123109817227338,1.6215894066430308,1.5856199038309677,1.651122557665376,1.7528283348153197,1.8040563149416444,1.9273482832323217,2.0404042078358793,2.1116401392808135,1.9971624935892023,1.984028767811825,1.9781616660886594,1.8948962547958983,1.908085210079874,1.7628093885778398,1.8390051532167349,1.6761136109475459,1.6148432534391302,1.584089032027416,1.5976935792092708,1.6135159279662508,1.5347717767122329,1.565780880309605,1.7192120247927491,1.7940833852584588,1.948728618374938,1.961921753702799,2.2246357757791144,2.118184455173047,2.2688310008271295,2.2943887766050333,2.25277871336449,2.3894788289082043,2.340168093926261,2.36071089292103,2.2742070601993762,2.239273651558822,2.1384310964661317,2.014371554116473,1.9305792988128534,1.7555748364244321,1.7288361360954656,1.6550462391335194,1.2784758293946974,1.5081295054559374,1.5122607049176344,1.4787768159165466,1.5094405446695036,1.515416935290516,1.6890076817317852,1.7741125460104172,1.9168618923205296,2.0502041299772236,2.067521289447878,2.154897912868016,2.1966788714901284,2.153799621974426,2.289408367555212,2.1637236407553897,2.2423680393603,2.085193449418321,1.95912956033538,2.03809948862251,1.7623334098900436,1.6710399484268843,1.745416123012448,1.752246697490334,1.6981363653144672,1.666306918562105,1.78561149141636,1.826936606866011,1.7969745523305343,1.8033159551102789,1.8365207321342465,1.99300180043445,1.9918590163878245,2.1579118258310936,2.1038918007733236,2.3328205698972813,2.43439410300928,2.0371891383522747,2.0803269810794163,2.0035127331258367,2.133261936897991,1.9862160257014825,2.1454626266252945,1.991045233226817,1.9038060713504092,1.8541179102481689,1.903521874686606,1.9396911510830752,1.8538330498964515,1.9551193264486006,1.954660707304949,2.0500392138621253,1.9311937508424137,1.9475757600171004,1.8507211719972998,1.9210886668739244,1.9780670803403195,2.012386471599495,2.1180969834739956,2.017914693274391,2.2211041494351456,2.07295533418872,2.1821035248788903,2.0354959825348566,2.150088838216994,2.220481478982947,2.229863444462382,2.1257791320293227,2.086681770050585,1.9428807215178348,1.9853296102810605,1.9173279615923746,1.977073480529593,1.978326504286347,2.04136741579962,2.204644208397016,2.203857844292081,2.1626304359541506,2.2076746240139116,2.173289524010492,2.231624401211429,2.2564157328382572,2.28511479761169,2.429268406781956,2.472794253932539,2.3436365496865146,2.342642037912308,2.555533533904,2.5138988368632855,2.303875429910102,2.4423124937313188,2.775623876484121,2.468976465050621,2.419958864924463,2.666720307334864,2.7105066105848095,2.3760668908372424,2.519867842448447,2.3797146003283083,2.7734179809199584,2.331238284314492,2.482345657755237,2.643120591144492,2.8904354899802134,2.8059961807874796,3.00737169809903,3.4204318398530047,2.960735874913358,3.0325944367628033,2.9824867699379327,2.907045508877254,2.7331988591244825,2.5526758868535495,2.5772227871541955,2.5800078833348716,2.529554675992889,2.388679770538732,2.419174290519272,2.4199227854522802,2.334294449537066,2.4009738243862397,2.3129201961813792,2.357582383696311,2.519336330818245,2.7039085669745155,2.8332913390857,3.157428660069672,2.994028890766425,2.8083004099123494,3.046235967771738,3.181423854168961,2.9389051884281545,2.8846895311334677,3.2016171838156224,3.1911770515362567,2.9845398610600102,3.215948317479729,3.455060820410407,3.302264512725475,3.1521038778977157,3.358633034614409,3.0979310010575105,3.1330479524465122,2.974796905342943,3.0011654893284265,2.9883093813488038,2.704578558924777,2.704048139223318,2.6990474458208475,2.6147644425530316,2.4406647060316358,2.522830704406306,2.606242427378083,2.368138815179059,2.347100158037827,2.4365417712304427,2.5379438065027276,2.3423279470043603,2.478256371340525,2.4043698712091137,2.5329984926970983,2.4115999735929172,2.4517618459096444,2.300810764031946,2.267316315669765,2.684383461612137,2.6245757237605027,2.659241397894598,2.780857614952621,2.3371381590520133,2.1514883279040937,2.1982816940758156,2.193694276185816,2.2697682183310013,2.358786234701894,2.446163367118588,2.389029740316136,2.242361848154753,2.3114394124152104,2.3133566215130488,2.170164231656666,2.3860877531971285,2.278519772225045,2.277315569796188,2.307718988566795,2.3980946284781526,3.1894487743814626],[1.8518530389235177,1.3934011478611137,1.4278515625773416,0.8941039010154771,1.0699135504428154,1.1560109254440833,1.0720183617667864,1.1742940774002382,0.9425473942937853,0.813587798217415,0.8192256339599524,0.9933862486662282,0.9064253147997309,0.715647400798036,0.8551904640173177,0.9185027559292266,0.8403169122922557,0.8367213506851412,0.7969647807495003,0.8107291511154902,0.808330709609337,1.0472574365433585,0.9668178302234661,1.010681405455843,0.8182133458781609,0.8254004977826637,0.8356979428903928,0.8211601750209329,0.8697917385022987,0.9647033613034025,0.9265379997438089,1.0861901725695922,1.1675744011871478,1.0847769606375044,1.057839601998202,0.9409700637384553,1.0406381424058375,0.9545079008367297,0.9102567431758459,0.8937844575424198,1.0193425878010984,0.8970242465986402,0.9296099253065295,0.9407463731997336,1.104361406230593,1.6344798241184466,1.5168705471306883,1.0777655071497845,1.416470459833836,1.368737381885755,1.190835924204268,1.7850476609452735,1.2430481442755381,1.1857658831954376,2.1393187175836603,1.2970238485148702,1.373452076437566,1.4033407076225364,1.9501593141968396,1.2899284168976037,1.0112474149206472,0.9384938368233198,0.9087869268082561,0.969106366389597,0.8405028125104823,0.8572422872792721,0.9405183131606879,0.8671583400104,0.8622233744247696,0.8216231869290801,0.9877269705563407,1.325058970145924,0.9804227873547722,1.0715954443699514,0.8502513929921972,1.1326258049996312,0.8686072352594109,0.9755425703710262,0.9992197269995121,0.9994274361512002,1.1008550526637753,1.1637857293264346,1.3801983891986727,1.153240710569558,1.0717470349907081,1.0757736828067337,1.024622766715226,1.123916226870117,0.9529983808571918,1.1436486802892574,0.9751459880975873,1.039499683151712,0.9818615440414978,0.9891127607068716,0.9603602618568412,0.9954125171968656,0.9294214626711799,1.0664130800201526,1.1193579592705316,1.3294377031878746,1.2391340590588944,1.4746077021731925,1.323315706147125,1.4429807285378127,1.4259680808007555,1.3804885916137364,1.5199452445355581,1.4703048630791316,1.4927406926630133,1.4293380378890648,1.3521555621414825,1.1985287398181563,1.0918339396236523,0.9947288586399802,0.860376352562322,0.7856710844513713,0.7516180043928243,0.6941381299630701,0.7123507455082602,0.7386196461326786,0.6743333063968459,0.6783763483518642,0.6426878372563679,0.7585394405127577,0.8501377955783953,0.9367578934150037,1.1085961827463573,1.1199308994201915,1.2364515958533255,1.2945365708955512,1.2608743125686501,1.359344142876756,1.2639740026910944,1.3270450548346073,1.2202248914580947,1.1797935444708783,1.2876275002977142,1.0165662785324956,0.8957854483433183,0.8529606138933017,0.9974971498599622,0.8921836086027651,0.7555416124100074,0.8371410093187241,0.8759931727171527,0.8957718988643956,0.8702931164058986,0.963241958447718,1.0899247724050807,1.1171198660827595,1.3059879804794756,1.3340935783689358,1.6302819212834403,1.93693155689432,1.437699610961794,1.3793230860850725,1.2468532917916764,1.3201994689809564,1.156530890708496,1.2748891363161354,1.1004896905206238,1.0003497463392401,0.9030206468681459,0.9630746782659103,1.0582673405123848,1.0099306736724571,1.135723489283408,1.3709785053478536,1.502315327689987,1.4082196330388694,1.1953589063999883,1.0811480974077492,1.066389942808041,1.1020589611946012,1.1127659952187512,1.2329351748905657,1.1618949365844078,1.3716365240079875,1.19355929024703,1.2990965648183077,1.188265608265967,1.2395242858332183,1.278025184973425,1.2772363232322197,1.174598974941204,1.127374399298519,1.0155006957241097,1.0469313808834253,1.3432199212496119,1.1210448007951674,1.238336743925963,1.1737814668308995,1.4117317916735879,1.3931308780424365,1.3038766802637696,1.3512538746688214,1.436640306248703,1.4015687899116334,1.4386618233442083,1.4527677504071441,1.752086072991568,1.8360731488740414,1.573245860117561,1.6535909191149105,2.0294029784935996,1.9505162178685036,1.6979478282130194,1.9213619491789422,2.395810014269225,1.9803304739204246,1.9435031834290881,2.3271332059477046,2.3832945827574554,1.9575663317888703,2.17795953668976,1.9124631196623785,2.544132475878191,1.9022252476776957,2.035550853372777,2.3362712768675187,2.541151601848657,2.6170271920482358,2.7791257041892705,3.191197652752637,2.624642838329275,2.653339245991901,2.528443537800242,2.4505741542382955,2.2915132294793628,2.034299721797735,2.037683848746896,2.020627075639982,1.96445132539563,1.7404874993899344,1.7443849230684558,1.729942596729377,1.617114458643912,1.6038039204498282,1.5427423990647713,1.6685307339284114,1.881676675696684,2.1626398571074823,2.3230317121428543,2.727068999285262,2.519147995537087,2.2871369629839067,2.634223252280161,2.772386845024626,2.4256350247226903,2.4708622458652427,2.8854134135186738,2.894592440167413,2.6430970689849964,2.937450865180086,3.2260027006632384,3.08326684733978,2.910076406387764,3.135864027052134,2.838437335420283,2.8456124099432403,2.6194395612114683,2.6454272555590124,2.678249912692971,2.303312548076951,2.2497560532999987,2.28978379828452,2.176349388140023,1.8868780070532774,2.030171199385818,2.108104819428033,1.7830245550146475,1.687160005858187,1.8171455211796546,1.9017143225304187,1.7144612838567987,1.879837848135981,1.7362098826547365,1.8133845238638118,1.882951593474101,1.6479993657929175,1.6070549001099796,1.5337763395733157,1.7181740980522977,1.6950880887651008,1.7797258847192696,1.9202634883778027,1.5074108304304108,1.2772027542558468,1.3426461717094753,1.2694787833513554,1.4063719460525241,1.4465629524923236,1.5630698777067213,1.8218859044044118,1.3395970321951787,1.42047221866353,1.5090968470587434,1.3024385818829083,1.4943981896468337,1.4096099294793738,1.5230087944727282,1.6103469506383679,1.9122871445009126,2.836441788368519],[1.892887173397624,1.3835928896019338,1.3165614473408256,0.9223767407778003,1.0441748033789056,1.0926033913416457,1.0458058620821826,1.0740329187524755,0.9669277047231137,0.9145244999809955,0.9299503427954141,0.998653518778053,0.949150587136336,0.8933647261072574,0.9770970475048776,0.9869545658189791,0.9810153460094235,0.9993887933700492,1.0567153381349212,0.9837747004682031,1.0316444522391717,1.2198830255343023,1.2011561098735846,1.24797727536306,1.0298590317871787,1.062612338192858,1.0154581025276856,0.9871374976598001,0.9888327187492832,0.9985757943258969,1.034400914682288,1.064294653820731,1.1271418908939077,1.0668709545930453,1.039306438954195,1.0023242076929435,0.9854757462641953,1.017384585332112,0.9656914406403623,0.9017178052414133,1.0302968594106536,1.0221388708854122,1.0280891646524881,1.0158955835013257,1.148099874632341,1.6358166432711725,1.544204500775394,1.0885234409090754,1.3603250716583293,1.3797527413628232,1.144910699415412,1.7851973410143709,1.2311507296589284,1.1418931671345283,2.062165817249852,1.2485400932987711,1.394479234431857,1.4039676934200458,1.8866337976682483,1.3989386421463155,1.092585087425689,1.0264456973915448,0.9911521108826737,1.1033569970060053,1.0001140399262543,0.9866884216997052,1.0926207922096154,1.0594729195186074,1.1001643172774889,1.085966865483704,1.2265697783774747,1.4676971316205998,1.2413389319947188,1.3106477322550036,1.0504488179874285,1.2798622782347222,0.9841129350653297,1.028026314797952,1.0401535106558555,1.056301029880924,1.0597292273397823,1.1290888250942184,1.312649532713255,1.0136120192329907,1.0058968116907823,1.0189324957343866,1.0402022554042567,1.0573929301235314,1.014968501291049,1.1469388138566747,1.0563349524900458,1.1489728191144868,1.0926038427171216,1.0304164794475996,1.0236184645891746,1.070227818731542,1.0401207662083396,1.0541172058374018,1.064300891618533,1.1756664239290644,1.088947835568622,1.2263170028339174,1.1345192347086932,1.2045995734270993,1.2073321139297506,1.1613011416588974,1.2681117025693434,1.214584558274301,1.2386778090593646,1.1975048455082913,1.147694337072643,1.0794067435078538,1.0264767106585078,1.0185675506430383,0.9717767021593171,0.9741611239608525,0.9422560697822845,0.8986927509586591,0.9821574711571355,0.9434932514700972,0.9519101069620728,0.9330193572574471,0.9392016748435594,0.9628808805290319,0.964122727453123,0.9994321801975994,1.0206374080259397,1.031782112429021,1.0918567130709997,1.1264353820852642,1.1104388169054982,1.124089149689519,1.107193068877874,1.1415082842491948,1.1189221474744715,1.1439946469236868,1.2464915589633252,1.0927261342079122,1.0563353003056555,0.9874812685502038,1.1933102803221953,1.115505467462038,0.9668760873554517,1.0042292824629886,1.0019062543580952,0.9711162782592668,0.9603635541647205,0.9733738123000636,1.0183048752096484,1.0416402300324745,1.1210855833483633,1.1647849708416838,1.368032156326421,1.6623125836737391,1.2558920528627673,1.1715533966725518,1.0996673796329535,1.1301328046427705,1.044607715091722,1.0912259047429,1.0269533664303352,0.9743386832082209,0.9673148199967815,0.9670596679166646,1.0067800261270727,1.124575022276007,1.150497015347068,1.4527241825989494,1.5593093734831425,1.4762044465480246,1.2100750895710901,1.1196260699912515,1.0056180599100422,1.0210054078729296,0.9997487535317456,1.0686571022567677,1.0419598698204224,1.1867340067360315,1.0404685679746444,1.0875881773576876,1.141565199874937,1.0728021543334967,1.0942064708443349,1.1220323467944013,1.073032424867166,1.0565213389683161,0.9758527764683727,1.0556245489650014,1.4491151000373315,1.1286305557939067,1.2650117084788153,1.1084589460348713,1.327180630260131,1.3133063419037854,1.1739745323962685,1.2396744742781036,1.3633384648183626,1.2113814609507323,1.2368034755053046,1.2276887272182833,1.540099193135037,1.6393914387330182,1.3530348839438866,1.4537130713210489,1.8627823145821254,1.7954843923942552,1.5319324593144723,1.7731797536739557,2.302274670601741,1.8816914401983091,1.8287275425715395,2.2777972330104648,2.3871337716038363,1.887279291917967,2.1233217434308607,1.8024704577533324,2.513701592454399,1.77679953278644,1.8853613633031447,2.254311599345096,2.367274199698272,2.589916024554179,2.683745001073913,3.0002533225840935,2.4661290337564092,2.4604310727954672,2.301211782806675,2.2036719923725796,2.1058177915334975,1.8493100246232694,1.8380438269986374,1.818362641465454,1.7996837653675566,1.5537812937490978,1.5345132349383535,1.5574576542463836,1.4330932136839405,1.4153578340057773,1.326335893216461,1.462465372221552,1.6718004340399792,1.9645090239998504,2.1287195222296087,2.522091057201461,2.3262261503220563,2.1008658517575274,2.472310160403376,2.6026007903442414,2.2424747659612616,2.3412731318537623,2.7839734689992244,2.82077884422123,2.572874438720647,2.8622696511079626,3.1755709755059787,3.0905425715184376,2.885224438216618,3.097639994870273,2.7757636975524207,2.7497552195567856,2.4938429511583267,2.4994636778620647,2.55560395920124,2.175566194336721,2.08616131863272,2.1316351278914216,2.0138118856524696,1.7039901884002329,1.8468852363390558,1.9034801983945513,1.5902173936758133,1.4868308046724208,1.570722046057072,1.664907035848487,1.5357847076330131,1.7278450494561632,1.6002577686957458,1.689626078551773,1.7168322282485866,1.4537790262797305,1.4146282047103116,1.3442977592556578,1.5197018383282774,1.5292108156877744,1.6518602375649696,1.8174226976709003,1.2911551340292882,1.124222395731087,1.1563044170359758,1.1322736439507288,1.1970322788264118,1.1568168828452885,1.2088811132341786,1.5831445343407042,1.10201855151752,1.1230852525525024,1.1912278508260556,1.0979890152478895,1.2824192931616525,1.1225307824059172,1.2501947747966453,1.3556792063748428,1.6669493436867848,2.4298307591437447],[2.062383223915685,1.6490501691345385,1.697246513599115,1.287580712060094,1.4739976296749644,1.5096512248182663,1.4275528107827375,1.4574360968560773,1.2273168450978023,1.1135407190625939,1.077037462752644,1.1981302670199296,1.1605381513769024,1.0003224576331406,1.0788328618721266,1.1446274991327854,1.1426325948360765,1.12919499553908,1.1138472959186725,1.1245594109601027,1.1340100941253317,1.3708066565297052,1.2943187571978005,1.3104334867831844,1.161001531598401,1.169523940854494,1.1795377284875876,1.1646967722101185,1.1756131252027855,1.2273865199346243,1.1629820373239357,1.2849910032892053,1.3420845555860905,1.2473889991792386,1.2548404656515275,1.1943684231645566,1.2555968410567357,1.262473409044802,1.2237676516938614,1.1813007556793726,1.2198801254915932,1.2144043408773226,1.2253431256357683,1.2355344479386992,1.2579071651058829,1.6522053814018829,1.5889021684642581,1.3094785203273769,1.549063919331441,1.5542416155460055,1.4215647391740278,1.8785082163145157,1.4358706512941188,1.3647104133556283,2.3438506165847595,1.4784838368527051,1.367740285714948,1.6130585043490615,2.1125337662485553,1.4768964647122307,1.2489539183818976,1.1521385764295249,1.1229472621387087,1.1837829329999376,1.1211976790966516,1.1357874500888054,1.1708760657074004,1.125745807603304,1.1249713531666454,1.101061379647067,1.1913813427836661,1.4384435164147917,1.2061643743609154,1.2748473411891128,1.094761323381697,1.3057129895556179,1.0929522545354982,1.1463211083764535,1.2158079118016036,1.2568889867796116,1.325638434251962,1.437984607422015,1.5915374417098547,1.4052532715949468,1.2984554947222404,1.329171265432646,1.28717986129967,1.3318609942066304,1.2096377804819987,1.3180799815514381,1.1762466398426301,1.21078315722599,1.1621201419570926,1.1380958898878948,1.1431655514678998,1.1446490140189605,1.1280928607027243,1.230494303153545,1.2829656210590648,1.4637079397814239,1.4041779237067533,1.6381540103739871,1.5050079183737268,1.6576890837898854,1.6848936679159474,1.6303655951498541,1.7996380954487745,1.7228556419057668,1.7337047010278244,1.6838190985387054,1.6398276029690222,1.516060674052437,1.4098410959077436,1.3403546466285776,1.2045296955711202,1.1724992233349356,1.136286372927373,0.8476761860042704,1.0484149485056702,1.0405410934479875,1.0116460792322781,1.0315493070934454,1.0122977686736505,1.1365971897225606,1.212637105268451,1.3130863105925936,1.4771244140019895,1.4512144250802215,1.5494202857244161,1.584240475376728,1.5587941005357364,1.652184510139854,1.5626060168854161,1.6056931802462062,1.50863397963289,1.4489990924453615,1.5650958966552129,1.3050919255503743,1.211279201707333,1.191069460324136,1.2486443083647851,1.2005595128896704,1.1062634860524416,1.2196053453914335,1.2426343438292016,1.2147824701887417,1.2198623380316085,1.264438960066668,1.3800551728586568,1.4029367841873335,1.5487289275530032,1.5480733670553917,1.770966166847846,1.9556973357326104,1.5486959462939616,1.5355737206251443,1.4355177816429228,1.5372415589654174,1.3921354545840703,1.5108585620674804,1.3897313183447764,1.2996261557226039,1.2547842528060902,1.266719731081953,1.3223034426755484,1.3382599385577136,1.4371504030239204,1.6466339347838523,1.7676185580903747,1.6318150410994803,1.4811119786740357,1.3480449324698303,1.3352613524327137,1.3830263221442713,1.3764465556792143,1.479786030723543,1.4101676347198857,1.601056456155842,1.4392780984415428,1.5173413103041276,1.4539917761014935,1.5045198637379595,1.5511915676830128,1.5708804985631364,1.4746509086383928,1.411889562683368,1.273849272448146,1.3112738502565402,1.4663075152459355,1.410198806421072,1.514770575096379,1.456808988580943,1.6800908097623395,1.682270872337576,1.5910400327909402,1.650946041921368,1.7074239182575683,1.6595381180932236,1.701872029100342,1.7293872390341432,1.9738474498927954,2.051072643167783,1.8334431223326595,1.872857874550787,2.2136013403881787,2.160915711861947,1.864258173394777,2.112299866953407,2.5693911689782882,2.2016529434988,2.1423984316919342,2.5165617185173748,2.6034863105917645,2.1368727304230357,2.3610302937789367,2.0982297017847666,2.6950927109538885,2.0892813591179644,2.2204866087449626,2.5091462014204295,2.686251490392699,2.6957638097384646,2.89717681912193,3.2025308881410646,2.7613540749882306,2.78070207996226,2.656230405655502,2.555719073057627,2.4505014401806458,2.204468007174092,2.167933928072064,2.213362828691468,2.155351861153136,1.938199943290432,1.9300597578358418,1.9908090852053817,1.8500664911859837,1.8392383257497833,1.7883169961851495,1.8733999582379794,2.0759398648507608,2.3295746684895575,2.4811326279411463,2.858884412489193,2.651119072684988,2.4584986230008075,2.758843394875764,2.8876215169447876,2.594061045317587,2.6233854720499608,3.0059670584420526,3.023743894653821,2.8034168234999934,3.067433434095935,3.3511737311070053,3.260120989518893,3.074664671041405,3.2963560613475162,2.9886088375801965,2.974493950870374,2.747622418047449,2.773859294039127,2.821932438829541,2.4722923828683068,2.4009070962382455,2.4577675128753795,2.353494815606713,2.075543486179255,2.2132833861373116,2.313561027819062,1.9776312626449808,1.9171630780159696,2.0183566699787034,2.116420050956958,1.9020445283001353,2.0675875165693034,1.928636625360388,1.960385976263221,2.0593285676448057,1.8539566613429155,1.8023931309557224,1.753649666419284,1.9048520834515945,1.9143975374524447,2.0082676552014456,2.111784674752881,1.7244111864937106,1.5785337991301218,1.6311468935420754,1.6034447668660523,1.7068673608999516,1.7570555547304316,1.8754983797872822,1.930896449237006,1.6266918493835936,1.7349558521340982,1.745956873986908,1.564962940790734,1.8282610026944364,1.7083926425707312,1.7391350730597723,1.8022228427622096,1.9216066193206776,2.718419646863086],[1.9525557990390356,1.4238398349771295,1.3617645205827125,0.9429761988754054,0.9722810644528065,0.8936109802710952,0.802352593396947,0.8439620535296701,0.7189956610140118,0.6776161474688499,0.6984119590909498,0.8043834793158134,0.6958983347911742,0.6795570588450803,0.756622019125635,0.7412436532166109,0.7471661658332485,0.747827662688788,0.8181133338709,0.7603431612454465,0.7867420783691739,0.8450823805725044,0.9573021556461824,1.0440163356193217,0.8395456635334132,0.8489723232513953,0.7641556974097329,0.739302476665527,0.7286296100437403,0.7371730280116117,0.8135206964468275,0.8553549365045495,0.9711377044801469,0.9014450149985367,0.8222602837261541,0.7397003506310266,0.7420884794466729,0.7231643860992505,0.7182157263959503,0.7326485063016227,0.9021921546542553,0.770980585100861,0.7563236664316773,0.8445497396172423,1.2813745939079586,1.9214940987266929,1.847948394776199,0.954545181565573,1.279152615141443,1.442413830936968,1.0072098377988625,1.9607500925909072,1.2600380850529078,1.1190058491255197,1.7552455116269412,0.9219303123409125,1.48575034253625,1.113789967823816,1.543913303149237,1.332560811178633,0.9687074524347641,0.8263374941524124,0.816249380354337,1.0236905597644643,0.8247745439764842,0.7732440279985913,0.9417133926417491,0.8550986835618489,1.0274474839498144,0.9143229052193579,1.1517131038687296,1.461848890140971,1.0974131067069994,1.2436761287354274,0.8666886767635981,1.1992416184308061,0.8172193460512212,0.8759289686062887,0.820560290738702,0.8231424495082144,0.8033375176068998,0.8382193827569377,1.1291877229899685,0.784714348345268,0.7662276098591949,0.726283796116402,0.7389708217207595,0.8117348848738647,0.7561505050864721,0.9567518563280453,0.8481132908895039,1.009699045666671,0.931282280405494,0.8940681676382831,0.8507811707256396,0.9509785134160099,0.8622162858564785,0.9096643810144364,0.9047266244369484,1.100766738230239,0.9436085085161858,1.1057327398997474,0.940522569850281,1.0307571401531108,1.0450606392743473,0.9834737958768319,1.179369831411759,1.0686729001173942,1.0924262488407603,1.0706009654470907,0.9860911849064123,0.867434657483035,0.7915112495729111,0.788884486138558,0.7270634840439466,0.7545942436260962,0.7506444195368707,1.2115872963964955,0.9029571243135517,0.8179801724400639,0.8434683985206582,0.7864766350391522,0.8949893198203105,0.7666705540541133,0.7411303387960877,0.8155338520949416,0.8693053321180457,0.8581366968821472,0.9349874237852284,0.9580342179958412,0.9828857075550126,1.0061352584050522,0.9658174858929119,0.9755954378814656,0.9806271758255005,1.058466087398802,1.1945980157511844,1.1105975835478374,1.126354972088453,0.9788620401776573,1.2096038773327908,1.1555036994194725,0.8969313460362632,0.8107866816644457,0.7794463450776308,0.7194694354951255,0.72452960766563,0.7446724199012509,0.7694649159572368,0.7870673568924943,0.9191233303412587,0.989599109123182,1.2870902272100462,1.6506554633675348,1.2074318122278378,1.0585221107941931,0.9058854580226471,0.9428194018809644,0.8090926122622831,0.8689932972510851,0.8094569624773656,0.7411853353346242,0.8035618285451521,0.7455147630407607,0.8402465174808196,1.1407984384501766,1.130842870676572,1.5545861258296974,1.6211769740324873,1.5530082866562516,1.2003052799527565,1.1016097837346202,0.8762125479635264,0.8399110370596495,0.7558096910162365,0.8386391984034036,0.8062580648948976,0.9966659747148111,0.7883887344936538,0.8585866635778269,1.0295651537924948,0.8699067309923866,0.9027197461725295,0.9063175892491441,0.8630552108343249,0.8379884855511199,0.7858867162455787,1.0071864999199227,1.6196292794502403,1.1488943450064066,1.3161326220726124,1.025237664174574,1.2503112073509572,1.2719532879738393,1.111379714091685,1.272903293310403,1.3403074538994164,1.10984351147017,1.1590928157679816,1.1260724022116395,1.4358669893811242,1.524214763728934,1.251349501498498,1.3631361960772168,1.759626695774939,1.7005485549594301,1.4245777460190614,1.6915360247052176,2.210623998817022,1.8191082056636243,1.7744053305041103,2.218624848722554,2.322914976176864,1.8375334330416337,2.098805486376864,1.817666075958719,2.4571117733772128,1.813971181721203,1.8752684223436855,2.2206622171168835,2.3622860155669385,2.516403753039529,2.6349754512634487,2.8045884586195977,2.373335884545967,2.3642683736094887,2.1695855099332926,2.062179659991758,2.0305852704627187,1.744870039461457,1.6955002750133363,1.7728933659251225,1.8077103499891627,1.4819303560340167,1.4098312954261,1.65543904931681,1.4285064448024736,1.3153663544144354,1.2640640964389875,1.3373573577357236,1.5499692896696307,1.836160441989158,1.9909538235766642,2.40002697583927,2.1935113396551547,1.9667091960243572,2.3544416369466887,2.493968595560513,2.1352945947024344,2.2258346672825104,2.681307175954321,2.7173092653422133,2.4714075395903463,2.7655362731545874,3.0903467247245957,3.0006866442752096,2.807517350159864,3.044526927054182,2.697895988522898,2.6647742766789446,2.3900090848197606,2.400591635955419,2.4805904109924386,2.095750152605875,1.9890344327170866,2.077603962141586,1.969469669671375,1.6337112516974264,1.7982509984631065,1.9132308377256366,1.5673120028148488,1.4755622964557813,1.5636394244336496,1.7291862214041023,1.537233847487161,1.6697405561493557,1.665377604725991,1.7008028494937923,1.7933210599714726,1.490790735213252,1.3806250285338073,1.2946787150073538,1.4415846810239126,1.524419130286381,1.7001620627668903,1.8808689306181539,1.2622046193782377,1.0867600507839916,1.0805937110253792,1.0299907715582022,1.130251333672362,1.0893608626482973,1.2425250679374396,1.5183315041015282,0.9703266619747611,1.116477764960033,1.1631700857886575,0.9170166463038488,1.1113570735952314,1.1062900996256682,1.240074128048338,1.3064988656337206,1.6883922161329803,2.5336880321960202],[2.3365383125423933,1.9323274937707215,1.922397371153605,1.6983082702970187,1.6686254811468428,1.5336294266752584,1.532311761604035,1.4508411264003305,1.4481436970484396,1.5293138908977724,1.4595088984259268,1.4246361285703673,1.4612190827245286,1.5643835764621805,1.5049151787479116,1.4591818985738847,1.570128135440723,1.5780901746717326,1.640923593123792,1.6486213620811474,1.6510938808747417,1.5430490143873796,1.734998838239114,1.8331156563990814,1.749379038463713,1.7272380003747618,1.6683052845761852,1.6434500418327391,1.5658058805888506,1.4863602364451096,1.5048532871682951,1.4266499640475636,1.4230735492402922,1.4465100931670751,1.4293160025932716,1.4930221669541546,1.44715062257513,1.5116055012439458,1.6062448319073226,1.6828365120773099,1.769590587383226,1.607577912104508,1.5792497260315346,1.7475662844052429,2.1648670823809466,2.7616750439514157,2.738365337262008,1.817158749933602,2.0273887069815317,2.222644675458439,1.8261069170964723,2.7532850568439917,2.093800013629111,1.9574385404523071,1.7373404832768022,1.5372221417554033,2.3209527145991085,1.561607487481022,1.7286814080793547,2.093164957197114,1.8246418777533782,1.6270800643714698,1.6126524183394773,1.8549807551287418,1.7041463966096961,1.6259631503620102,1.7522785954398126,1.6434077599843002,1.840436553739392,1.6563600357430008,1.87667226781583,2.0600225064494055,1.743819379408346,1.8335983928379977,1.6210714085480953,1.9295679416697484,1.6125570546080947,1.526997532078087,1.5194453408040975,1.534822396830375,1.4598344482090515,1.5075476237376368,1.884893079987065,1.6528128355391976,1.5833902312095351,1.4970764816246986,1.454678486701156,1.4667509023222058,1.5069768180940764,1.4943250137312947,1.498521162094365,1.5467618707549562,1.5024580090066335,1.4702161806982266,1.4676571711700444,1.5073196804930793,1.5033692259133644,1.4163624548053806,1.4350458385160714,1.5399106886243472,1.3926080312455131,1.5225554585508707,1.419613169128183,1.4502916857934127,1.6080219283918542,1.5600874569713408,1.6789114579579396,1.6068854054670307,1.611016971418987,1.651073435932259,1.5689047882557317,1.5557753396876233,1.5208765733302705,1.593740884176275,1.59642508582012,1.6919683227501299,1.719929403411583,2.252637809313605,1.879787263101076,1.745720624976859,1.8039406192271068,1.7382972221177986,1.8777722300809103,1.7078499826436513,1.6349467351780125,1.6754417313275038,1.6233482627597287,1.5953022588352743,1.6070586453079507,1.616026583840192,1.647921180722904,1.5932123222279404,1.6429982619844508,1.6228873587707282,1.7100007133892834,1.8362514162316748,1.9107741604089172,1.9652211968594475,2.031691710341704,1.914892517006517,2.0844904675815354,2.048604845656667,1.8491114507782869,1.7233031552913671,1.665220868637849,1.599291384490224,1.6295950172941995,1.554038686692006,1.503205463428239,1.4372495743354534,1.428570633212969,1.3939968373323888,1.5890820978355016,1.9800453574529742,1.6236618920520973,1.43262811140348,1.3783871740353795,1.4282217535951955,1.4315200150720988,1.4546065090504252,1.5858401968195823,1.5799381793060059,1.7095248548415358,1.627603934929422,1.7380850705476238,1.9787398849333668,1.968515167047036,2.3007045488453457,2.293294837670397,2.2841815408361703,1.9872287644973767,1.9490354609582905,1.7601352752266068,1.6772622910583088,1.5459990678625712,1.505570248131517,1.4726077524469712,1.5509237942325171,1.51829013127361,1.5202149283636592,1.7450207329032357,1.5762818278135056,1.5926802025115538,1.5733757052215238,1.6232938735888187,1.651293908370721,1.6802498861534276,1.9178840937128963,2.4821503746356197,2.031299804370278,2.0996559047698287,1.8711837049988425,1.9656374602437194,1.9858146063488766,1.8226186140708593,1.9433910012620548,1.9414713574965996,1.658966197372433,1.660840873349185,1.63156053332388,1.761822507939274,1.8755369510012705,1.6767205568350645,1.7015262578470276,1.992757722719646,1.9979623814494651,1.7248959101208836,1.8816446247941583,2.391634534981002,2.0773995927731965,1.963550058341987,2.344986728715726,2.5253089672115023,2.0794182870798763,2.1871233179969227,1.9419366561432467,2.437745726383301,1.8776421139393977,1.9487000380016566,2.2108167311412434,2.276541033004185,2.417930228058953,2.5640576699526565,2.728969570258684,2.402654341747408,2.4114867313044583,2.2862698462818374,2.1524031289264043,2.128135524772301,1.9232100609424816,1.9576327720557658,1.9651164336778562,2.0490564072075386,1.81614808118826,1.736124032160639,2.0256868496931704,1.778238876948057,1.7111914902998169,1.654158060208247,1.7559908970232454,1.891903153746364,2.079427197947184,2.25990610604944,2.555184365139073,2.4754230498988155,2.2468514671892965,2.5766483654322934,2.75588973212087,2.4553890793232718,2.4954608238455234,2.94915339661565,3.044786809256972,2.750182795616472,2.9454771379564044,3.308975251143872,3.2745633517631294,2.947801708963436,3.1252465353568155,2.7624134570789227,2.7356043467313995,2.5187883617626277,2.4718383138301836,2.492891159358075,2.199634109655284,2.0980717805457036,2.10922629815292,2.013264926185114,1.8081696512775771,1.878253015963148,1.9401383903951805,1.7313185457044715,1.715280431671702,1.7033699275997911,1.8970870874890418,1.7763038688706891,1.8547664294612087,1.9938372917825509,2.089569222114701,1.9574550664281596,1.7719912409666825,1.6100145870283327,1.5853907889000831,1.7238753958921833,1.898552320608073,2.1248356422234114,2.357080425037376,1.699610631746436,1.6489953813411455,1.654670305159266,1.6460246622722563,1.62842628823553,1.5072759774740423,1.4994657094206614,1.6964506873364171,1.4329406133147282,1.4298671239872887,1.4251314075146333,1.407374873241486,1.3751940952833137,1.4011893646359814,1.5027987470380229,1.5776338737504065,1.9337725486442268,2.5762225204815348],[2.1100512989004687,1.8071147216575953,1.7214689351806982,1.8320191597817774,1.7001940689151074,1.3371019334527772,1.3807122632390825,1.178481392147361,1.2695186294651872,1.4601313632808965,1.3640837782733488,1.1936936042009763,1.3599565968757017,1.570054143743042,1.447479311037608,1.381435526737906,1.5785662793852377,1.5986927497593957,1.8094873149988422,1.6996256663811953,1.7758368124142563,1.6407369470718602,1.9036716663813547,2.0775037821810813,1.9013244541642724,1.9147071741366015,1.792892447972543,1.7364811235962747,1.568175739976258,1.3965796808672972,1.435190035978738,1.2696858153555335,1.1877229155544042,1.2723032933132252,1.279767138854386,1.4198293145027485,1.3087869714043359,1.4880878785123661,1.6230288921945497,1.6361288326111132,1.7836320555960634,1.7090619355686651,1.6504708861980613,1.8055115972141542,2.2144868621938163,2.7518759125663235,2.731104833667628,1.8415564830059377,2.0068640761410315,2.1975843429285264,1.7780090060742082,2.611819751237959,2.057311063618299,1.8818311350773609,1.8577516671420253,1.6023888751611495,2.373652212694779,1.5559699384053625,1.741652802064599,2.152650516438504,1.7964484448926208,1.622015088616357,1.5804387599417935,1.919837604669842,1.7930144174294074,1.6591932269531717,1.7928757949928777,1.6852553201711657,1.9690947761215223,1.7577583439168183,1.9911476562888344,2.219295981280238,1.8839375965341911,2.0386341765500258,1.6366620434390133,1.9728983261677968,1.5914291366266942,1.4581526976513277,1.4286232987152772,1.4835288934346296,1.3677527473737394,1.3789446397500915,1.6463887559288999,1.3895692165429463,1.5844224359860952,1.3915250381064017,1.434668398562787,1.3137062565693398,1.4471684834242713,1.3783469251089664,1.410255810389909,1.5769479573837184,1.41749344867959,1.3250743569492027,1.3344811913783086,1.3575794724505854,1.3807640992466843,1.1950083667627305,1.1816787455875133,1.146015429919167,1.0855891548681853,1.1295764900113625,1.1212366103906757,1.1114255600919865,1.2536427738788631,1.2315779873932642,1.3076423485096969,1.2475696854433092,1.263240252839789,1.2721023773580313,1.2333294311666938,1.35989989918626,1.3699899529181314,1.5766604064314327,1.609655825942921,1.8016093748209179,1.8112799913247242,2.4226709863891998,2.0627450581919224,1.8459248945369862,1.9442182352016943,1.8427454875462697,2.077037916746936,1.8097895709182639,1.663138774164677,1.7095126116017154,1.442134646165543,1.4908889080223047,1.403954061269622,1.349235076521525,1.4665811981104502,1.3600678966199018,1.464019865154608,1.3629346334673182,1.5573094751858525,1.6913109473146521,1.744978178551347,1.948901751441732,2.1625841851593104,2.041419800700648,2.382726582430122,2.3530042964514424,2.0651372840815476,1.8574508569202426,1.7703685140737127,1.6370190943712448,1.6596732066422284,1.508526249802136,1.3699021481197742,1.2950773311788801,1.124546230476178,1.0335400644142418,1.1444363936743709,1.5866982493812476,1.2689981756924609,1.049557133265287,1.0657120875190058,1.076489689495118,1.1898178998212867,1.2295083135127987,1.4463933607401989,1.501080040288904,1.7440660900512617,1.6284835536894673,1.695427187410336,2.1274970487713794,1.9396693329503627,2.325442491606928,2.268316043912922,2.2941345805079143,1.9381092594197609,1.921810425216846,1.6573730420340624,1.5383904729016753,1.3935906807820533,1.2539659353121009,1.2635598789863662,1.2988577013453186,1.2949645968576564,1.2568940839197493,1.6378283864374443,1.3435609838927738,1.4071238902208905,1.443091115684943,1.5546503576236217,1.6220423689226562,1.6770747465764528,1.9674367862408897,2.6541546290984774,2.0532177972035046,2.1541769636944657,1.8199915575414736,1.7900673649944472,1.7795402138085674,1.6478853358480612,1.7980943953722597,1.77639853581164,1.4502999178914195,1.4144852290066074,1.3082900186758817,1.2759015622070837,1.2823092879077767,1.2157409972386723,1.2737081119033875,1.4138002304531634,1.3884019419363367,1.3629699835987417,1.3819453807162465,1.788443191420119,1.498760100948775,1.4422111201663808,1.8099759187888098,1.9680850171017006,1.5700097210296724,1.7198961099604015,1.5561484533940193,2.0201918526612532,1.6002423252791371,1.5368984786990953,1.7646459488552353,1.831860165060687,2.1091305183362445,2.1313931831173325,2.288709091642306,1.8849299862404787,1.8369647324313003,1.639736941008039,1.5568616707749658,1.5966122945256531,1.4180252911915494,1.4554875458426915,1.5720440553262138,1.752394896794347,1.501365356486026,1.4701582714385162,1.8890717634625551,1.6705094509726797,1.6533626254724088,1.4120236805949897,1.3320012533017875,1.3537740613048574,1.4521835533961376,1.5933722533047292,1.890171146699702,1.7944297145170467,1.5688721979019011,1.90795549941111,2.095420192282183,1.764353790494361,1.8301014109539722,2.3134443014962724,2.403624206833512,2.104529514312233,2.3570847599349745,2.7408957667981144,2.6772930289366372,2.3990471566347513,2.6188523529371555,2.2305722921864217,2.190722359287342,1.925503176998922,1.9006861162396533,1.96829864262356,1.6532036474336296,1.5552951526196945,1.623134658517687,1.5550885691009393,1.3813385323337128,1.4864908431573733,1.628875748069093,1.5126124970159722,1.5529276823856053,1.5654605769194798,1.8262436314847665,1.772277276618413,1.871522896737313,2.1054946199138835,2.2908054983454993,1.8954725583577428,1.8408087528066601,1.4439492757258081,1.3408967992919074,1.8875544845056638,2.100009361374667,2.3761602060592177,2.6553004235196425,1.7150653385475163,1.5438222245449813,1.4154904024097559,1.457126025459731,1.2187890259815084,1.178592319522894,1.210862991033215,1.4526562184553327,1.1557637846756632,1.1685764930800433,1.0065402593664594,1.0675939834617671,1.1282161471207899,1.0561310474249075,1.0319209107329024,1.079585561772977,1.5508043919427252,2.3538063724185974],[1.6719098512734725,1.2856656988917052,1.027789157779578,0.6362418232297745,0.7274759403168777,0.7263418857827244,0.6210832535436919,0.6936852917562671,0.5524273271642262,0.4870129362957946,0.5212732089080202,0.6531882233238889,0.54478467447954,0.5023677192745387,0.6295523329381867,0.6079971507997424,0.5669600457227076,0.5944153885869953,0.6064060105809803,0.5962488105036824,0.5988277904931975,0.7184352312031159,0.7765428104669607,0.825523047533667,0.6387530606853256,0.6205541652223457,0.5566931001395122,0.5353075358802415,0.55110379207559,0.6011165567985252,0.6710289337246182,0.7076925363879856,0.809226781709368,0.7517725439669273,0.6744302385517389,0.6063702258469413,0.6271254273804696,0.57667812406896,0.5360322128139395,0.5701773814598488,0.8390368272407633,0.6152040590654545,0.6230818430630124,0.7364177454213158,1.3158752894844585,1.9877657821694852,1.9081105486494407,0.9201432193090242,1.3290860636437323,1.4615813979768855,0.9587617636179788,2.0573712086425364,1.2336778410948532,1.1115839963658454,1.7118103378279976,0.8633096642369149,1.4729894697899861,1.087411819241812,1.469823042541172,1.1694224652532175,0.9223262402310133,0.7707449271135947,0.7142068337942756,0.9250127909895391,0.6834076422043551,0.6456872368052053,0.844553978497321,0.7129541312375283,0.8949062073162788,0.7237716483996611,0.9875508254296389,1.3137234205347723,0.9024310248578118,1.0415941697591353,0.7148780569580372,1.1284107021013046,0.674449884558901,0.7256764398754715,0.6861464206799175,0.6490960083655845,0.6690626597833779,0.7411759815703469,1.027907953204716,0.6516816906243776,0.6904262425836828,0.6262097467944246,0.6156770343701735,0.7146825611207693,0.6173410424120734,0.8306102379208519,0.7157423421982039,0.8490262350287725,0.7801511318047382,0.7346295791588497,0.7098871038140314,0.7942776905172455,0.7383759592903929,0.7290293902004562,0.7316538830731644,0.9124558010916572,0.7637970096708439,0.9907951346966525,0.7917490320321693,0.8969242380388575,0.8658373433660338,0.8430911173140688,0.980532484226505,0.8765065994936809,0.9066751161335123,0.8968016662587632,0.8056551240026679,0.6853769510128004,0.6101438857900149,0.5570635924467473,0.49865548820389816,0.4627280536065849,0.5136053596480449,0.8548216237091786,0.664037136123949,0.656486231421002,0.6204844039638492,0.5688128643477827,0.5845182055098193,0.4804666922863756,0.5019096846228158,0.5315578284252828,0.6323453100717299,0.6432210311590176,0.707629978486772,0.7436735114659854,0.7105832488538951,0.7578694483489358,0.7131934140461266,0.7398524595893182,0.7464260310225873,0.8409194495988853,0.9029410694410254,0.7692878657482976,0.7351293606890308,0.6738073099239472,0.9576570793863582,0.8596474162629149,0.5821302311416386,0.5160719414748229,0.49169799755807214,0.5231595792557073,0.49653275358732346,0.5560542786176746,0.6201923415617902,0.6709249803164242,0.8039951363985083,0.8632739193011489,1.1060213424571985,1.5559059156258874,1.06807631347733,0.8947163905771504,0.769235914334835,0.8155991942212297,0.6906963630155785,0.762500749335452,0.6590168910738791,0.5647628321371992,0.5236060661903705,0.5318149992049299,0.6562244151698525,0.8089552830860126,0.8609648937484198,1.299156520654555,1.3660666910353794,1.3235408161335451,0.9295650410423075,0.8560450324272821,0.6781919347146601,0.6561549739332476,0.6084077025236887,0.6987055800542207,0.6636420744743952,0.8856648688574013,0.6677723900359,0.7403683399853144,0.8439398027404541,0.6969543630387253,0.7063165023165613,0.7083426047976282,0.6583384257957333,0.6565393133464479,0.6546718184969005,0.7591606368120624,1.423335833586008,0.9060780290061945,1.101842296125591,0.8521106857286919,1.0930274132202742,1.0217405315046773,0.8056592492657783,0.883952397667327,0.9651194145566347,0.8100789789027233,0.8473366665943501,0.8330821601867552,1.051787557162416,1.148582787641098,0.9446851466899889,1.0260727525811077,1.331034001932921,1.3200221739137803,1.1814029153612058,1.3080805301132816,1.701202152122685,1.436343546705556,1.3940860123531134,1.702585217997702,1.8441353128369036,1.4887368475198965,1.6629294781097157,1.437992196475219,1.9379967868661276,1.4101532947385187,1.4390518952593159,1.648243326641585,1.7630876459589244,1.940352152761211,1.9996165696524804,2.410434126113568,1.8123273973053209,1.7696531509958808,1.6808163043152082,1.5727507258089022,1.4679849176120048,1.286901938445667,1.3115699129894893,1.2949351260461455,1.3479891565221935,1.1203197029617489,1.187381000266926,1.2901101349801298,1.1503486026470415,1.1183501982041226,0.9408044323334744,0.9737034745455401,1.1327033044509516,1.39643138555423,1.5418436007567082,1.8791129795641315,1.7673212907966234,1.5441111198589728,1.814457845122788,1.996660430678108,1.7278644724125716,1.7462891857954201,2.1233340708758686,2.1996102047964587,1.964198069593338,2.148685865897166,2.432448778881384,2.4130543204207573,2.1720372302616187,2.322252832892703,2.050567372788246,2.0118973620997838,1.8014934294945615,1.778852168122442,1.8534018133958587,1.5705969767838364,1.4695183801264071,1.5234028973001679,1.4737482867473537,1.2276409262915113,1.3408476191060283,1.5391720198557206,1.2816461913230799,1.1993880237684245,1.3346476284722335,1.55793259520995,1.4084758631282155,1.609566313838632,1.5573184715884094,1.7122153249199021,1.6170522956603854,1.3832263387465986,1.1932078525355028,1.105776467842115,1.3872956370280265,1.472225559241657,1.6839663141073598,1.9183306502458273,1.1828579946127706,0.8302382015128811,0.7982536095221592,0.7696836745466071,0.8772664552077799,0.901442969587167,1.0834597064186589,1.412152823264215,0.8258114422300411,0.9966048480230889,0.9519675044204394,0.7803357669653589,1.1320107310557843,0.9534836813568083,0.9919520190561879,1.063527315692258,1.3686545066408875,2.4970093042969297],[1.7340024371116893,1.515584300004407,1.569720402618681,1.7413549796766894,1.7817752865983125,1.5177171409596166,1.4683190340211607,1.4719815489580705,1.4324448586237846,1.4020396892555738,1.393875270848143,1.4062166690359776,1.3834346331017071,1.3882773423789978,1.405224351298397,1.3864893216113685,1.4090718929364487,1.406387502025685,1.4744608925289,1.4017075788166873,1.4532270233264575,1.4911875769861676,1.5539431312162013,1.6845847839061674,1.4785812951321302,1.4986008870517127,1.4469603830349862,1.4093830773531157,1.4025271413418112,1.4103763775651619,1.4320176939747586,1.4392812278807496,1.388356472556661,1.424974468054606,1.4205245060139982,1.411456186245221,1.4086084372196817,1.4004221616387242,1.43580806270849,1.3846625826050265,1.3549058374682368,1.4777689837878765,1.4781576886720385,1.3862231039740918,1.5917180178060146,1.9877926158894514,1.9859607436101878,1.4426254954808966,1.6065224494587684,1.6393668670262076,1.427105713297639,1.9453718891977836,1.5330975020652051,1.436293637565632,2.2381257250557374,1.542460157531878,1.9787034708362996,1.6036633902401178,1.9364890643971404,1.8690260769910336,1.458091877426781,1.4573132448216886,1.4676393664282361,1.6043349706757717,1.5146821516031936,1.4374460735151338,1.4584556277191132,1.492613089797717,1.5822119265488324,1.5253503768693197,1.6335573777205725,1.8702391596097565,1.6641582403834225,1.816772124182058,1.4846492390150086,1.809114794804069,1.495962365399452,1.4878531416036045,1.4440653294092627,1.4841209029442204,1.4780387497282679,1.4184470597069263,1.6176420596576926,1.2749533486505609,1.6100230394259114,1.4225561443976433,1.440848859541304,1.3998918563348255,1.4291094398527986,1.5022339589278788,1.4486188827466626,1.6215690051148066,1.4823840140009406,1.4387020980121763,1.421372375472468,1.4687771228701505,1.4150779428874898,1.4014084000239184,1.4297108473297504,1.444955715090338,1.4278977718294816,1.513076164311379,1.4242200737244362,1.5093621067564644,1.4448232597295005,1.4709940044716272,1.6050588560499932,1.44310863246306,1.4773451312707466,1.4702390597740496,1.4383871584779493,1.4755690347041883,1.4479448017635976,1.4633615090640117,1.402732218411363,1.4395747309378515,1.3855945080012855,1.5949070862209114,1.4550899046552872,1.4368485164552773,1.4190254772635713,1.4054583489194281,1.4872019724970964,1.4052372508402955,1.4114585380189903,1.469619974894308,1.4103288300080603,1.466907611619082,1.4339563851391905,1.3589257554471283,1.3797643114537559,1.4868376690519864,1.3126005669623175,1.3560724416798844,1.239944665706766,1.1706089728156917,1.1556054399456095,1.2923210614461087,1.4680351937042229,1.4257050065342975,1.707465747910775,1.683324083139446,1.4925957477063252,1.44303119713561,1.4486667968971978,1.4173594177591402,1.401410937124723,1.4098660487904837,1.4067147960649238,1.482507673337766,1.4836747108650943,1.474814231850522,1.5078122601676167,1.777492364370956,1.5152169600957792,1.4655337670048467,1.422652237736918,1.4658656379683017,1.40280213065971,1.4790041822044453,1.3461432049363984,1.394859142463404,1.3885255476056166,1.431919132217032,1.28516998796296,1.4822695414628086,1.2599802864098206,1.4303635272395077,1.3957511965441687,1.3969527168307707,1.2475236039301365,1.2602411911881242,1.2359644835814931,1.3108380203419097,1.3660528381740527,1.4149060373688602,1.427471078818217,1.6181541561940271,1.3725231013031483,1.4452411070219284,1.447312016673877,1.3725282737920177,1.3984460777564018,1.3932082365451375,1.3877189274180841,1.396268446535091,1.3417716857483704,1.514116002902913,1.9124419055180986,1.4478142366939961,1.4905698233301814,1.3140613956395666,1.2918344878242225,1.3008888054144618,1.2886396705767071,1.4608467288917961,1.323851250150522,1.3848300491415717,1.4159320766762915,1.4409009718954155,1.2248740387830541,1.1686444403746032,1.2939550507159752,1.2606399735612737,1.1242893577199988,1.1103251673159147,1.2663248487521646,1.2000140565749526,1.225280736631203,1.1570821422576232,1.2073744276082388,1.3009360904301672,1.3824998525464138,1.2476589612190505,1.4172185385499791,1.3838351663788557,1.604667837264265,1.5277334682232657,1.4095814645397293,1.3843475677520192,1.5054970995836796,1.7281147784248663,1.5693072601650824,1.9217552324622031,1.411552758131355,1.3239339704850548,1.3147034257175274,1.2558438001418444,1.2609126275998352,1.195695630726401,1.2464594538370386,1.3794019609986559,1.5308809905065357,1.4078642978358944,1.5855405926010364,1.819494515962165,1.7228559175151037,1.7910640148310626,1.4725267444336867,1.144100275291153,1.1505793906520811,1.1969936516995705,1.262062385516292,1.4130702447222436,1.426544942578917,1.265332249457365,1.3012853518427308,1.5239816030737319,1.4394620062469752,1.2366750246343414,1.5060949229757934,1.5804113542594935,1.389845946819973,1.5346600702752122,1.8044747668476309,1.7873200778960285,1.6055101946366577,1.757048114279597,1.4965720436923327,1.4386192403684508,1.249283902593536,1.2641653059850588,1.3927411273246215,1.2149817120153243,1.178439783488573,1.3080520867941747,1.3629041645004176,1.309108422606096,1.391820272279497,1.7555618362666368,1.6235206818938852,1.6819887137495537,1.8181734626783186,2.1452579908960825,1.984647543994994,2.1369355686074454,2.2780602367123763,2.542256292156666,2.028596762594051,2.1069869460392066,1.6053423411333487,1.4125970102472745,2.2289921711021483,2.42707361005846,2.6824655217313893,3.030805582905012,2.073567944417248,1.6552164014903004,1.4518262460290512,1.5071706682650994,1.3344538323594266,1.688898214922939,1.8590355840551,1.7515499966286854,1.6808197327141663,1.8353341446941647,1.638521309291193,1.5625174667821164,1.893065875045334,1.7097965704268736,1.6085168109196142,1.5186791775349513,1.6298527372612481,2.7990754482252966],[1.6651239605630908,1.2537050331940829,1.0145999151939167,0.9103041115514174,0.9853209121144069,0.829655365123493,0.7435480351279689,0.7314442338586311,0.6787755923313525,0.6913270853625137,0.7068955795834972,0.7509508559525466,0.6978960868337348,0.7381507200333179,0.8294035703896746,0.7882708088145778,0.7972174372844495,0.8628771781034752,0.9839022404801941,0.8717354075704996,0.9975223295309166,1.062554599459103,1.1502951041010978,1.2999248466385493,1.011357036099315,1.0349156029489404,0.8963001526872545,0.8324821460811477,0.7954987298842073,0.7786775302285279,0.8879231203109468,0.8735953696608524,0.9114291262394045,0.9129254427121897,0.8459873770876093,0.8203597249468388,0.7783900533184515,0.789190670860499,0.7888303270526991,0.7117779262786145,0.8274560743389894,0.9185288008954143,0.9227041372925908,0.8618031906258344,1.226912407910014,1.7747835600875466,1.7051472716142761,0.965288397521346,1.2709291988476326,1.301092480856679,0.9139443458976808,1.7912051230428212,1.0984723644710723,1.0221821099454742,1.8852573028567399,1.0810680580318097,1.565347462200098,1.1811044591096358,1.6333199097773579,1.329603467487936,0.9578515361615507,0.9719634875247783,0.9884649843308719,1.1936297777540834,1.0042410602862533,0.9436993869478723,1.0882328098679874,0.9978119910312677,1.155408177751643,1.05861255060577,1.2386500949661081,1.5905558514276665,1.255547558482358,1.4117989650281695,1.0161602137790835,1.4169899105237977,0.9664690990840302,0.98697759635694,0.9094172913589774,0.9260621330639776,0.8858529944974837,0.8124227248942756,1.1074621288355486,0.6300052285584048,0.9132360213325442,0.7519372787366575,0.8264733700530958,0.8030802124682498,0.8602797409378763,0.9825348281675162,0.9518675447573892,1.1469940697295773,1.015419816255047,0.9421998868904155,0.9001893203136335,0.9864620626269327,0.885883538750487,0.8542375850312466,0.8476758503241976,0.9419695105244682,0.8260677573974693,0.9585560116922185,0.808833740871992,0.868928576503078,0.8277927274560164,0.8276964467741669,0.9906465908075404,0.8424560970053657,0.8781700803287236,0.8768909305229157,0.7887763636902404,0.7476694322413967,0.7118115006305817,0.760163368359121,0.738096181434722,0.8146592498150944,0.8193413206649276,1.024510039561681,0.9819174951741904,0.9275344073227849,0.9120461027452134,0.8496122349019244,0.9268893268807532,0.7829699900458693,0.7353051857410527,0.7773013248845595,0.7412557588691742,0.7658789023155449,0.7475503659398878,0.7325960348488566,0.7380147997271879,0.8117676654952595,0.7121482004262505,0.7410771360595119,0.6827515971338802,0.689646887578953,0.7713349413450511,0.6883709361673023,0.838007011067095,0.7977119196321301,1.1772008264592333,1.1361723309031069,0.934211928542379,0.8399127691626767,0.810695545229986,0.763484167529681,0.7326977691753855,0.7153620846762232,0.7013364468640805,0.7724488722500809,0.7935943618300175,0.8282511357231845,1.0395010640876694,1.5554108850178345,1.053207843985719,0.876444378536174,0.7977757134786657,0.8191983158927264,0.7502065581372966,0.8007260570416452,0.700683097288876,0.7102095853204796,0.6973716084336032,0.7331522090402978,0.667632732549656,0.890647150732424,0.7431250693598204,1.0839542099743982,1.1433763379291355,1.09539438250224,0.7875700119641255,0.7312267679670194,0.6167282960680898,0.6417526844643036,0.6674012161286244,0.7481916853057836,0.7642422081811109,1.0065674427685465,0.7184327574518019,0.8112946747664028,0.8291201913004984,0.692022795480322,0.7189819609920426,0.7407079988446854,0.7344714117161842,0.7466299194805168,0.702331146403494,0.8575460501269604,1.4574364709066814,0.9193393341729773,1.089218994098984,0.8385513062824728,0.9663317274699791,0.8840827091698402,0.7461472543366777,0.8851616851481132,0.8958242004891886,0.8299179423149416,0.8760881287090623,0.8510405484042182,1.0333538237668012,1.1205719533829628,0.9115078672260272,1.0069115636369244,1.3486730094406818,1.2950991704930916,1.1528140749994222,1.3390501349938455,1.7930416507821394,1.4284529901005698,1.4265505990866865,1.8192230805703682,1.900925119187669,1.518314458980995,1.7742194060948,1.5156429614061242,2.124591597394718,1.5358741698744358,1.5423876862177046,1.8451728264340095,1.9748568029110904,2.213783624427344,2.258322733616973,2.6603891518728995,2.007717502053329,1.974162597788326,1.823192336710891,1.7151326743910427,1.620943680864258,1.3549703170765521,1.3487899801364829,1.3436054920783749,1.3800272602519479,1.1322411223920892,1.2452614579236645,1.3362761492388986,1.208634673367224,1.1906028645899618,0.9675403344148952,0.9218479934498958,1.1251977097468064,1.434848885071608,1.6044920718978504,1.9865337399186473,1.8402418816991855,1.5789141057948923,1.9577803669464446,2.145731905202177,1.772192084382487,1.836048166647569,2.3098166907185838,2.3606447005012354,2.0688795857831734,2.369462412969257,2.706655869578324,2.597710163296183,2.392749230761568,2.6303449549497078,2.295456951314026,2.2647938273983828,1.9708046445591094,1.9902658500894097,2.0968148461063696,1.6871365179466442,1.5691484634939485,1.677455300443054,1.601870223303171,1.2856728531444608,1.4416408543575159,1.6615407292129132,1.3510279720976772,1.2597526050316417,1.4186742536576578,1.6416977984572896,1.4999621713751672,1.6843960084901046,1.679730926869626,1.8596918391954724,1.7166325692920401,1.507617192144775,1.2555733215077947,1.1150548147511103,1.5664458928021547,1.6858898457017524,1.9293568960958134,2.211349698694193,1.3584930780573516,0.9862120491527595,0.847860873186073,0.8533179773395354,0.8641429300734916,0.9117341119048633,1.0529810657017764,1.4181874557746477,0.8603206253572557,0.9901095081007432,0.913250783369284,0.7997235892943131,1.1676011755435785,0.922814782843543,0.9168692896846564,0.9883861527872004,1.3198660124116532,2.6742431692258637],[1.792389117342569,1.393542182863335,1.2210242541012382,0.6841358229291342,0.7550741413843823,0.8052499008277205,0.6902668640476609,0.7460731164065948,0.6249068685134197,0.5953816025748447,0.650569827619869,0.7695741559344093,0.6581118145948138,0.6339946307623556,0.7770257574246637,0.746930806163987,0.6878588276762448,0.7414422200505597,0.7773099297005155,0.7482409581340519,0.7742937334207756,0.8552881670298189,0.9050680416069053,0.9696161378840485,0.7412271369208996,0.7495804577824725,0.7088022692167275,0.6631962985204095,0.692212638046532,0.7264849798585324,0.8438696791864552,0.8802210637390057,0.9695510473148046,0.9468440574625473,0.8646678261458554,0.7721494478575566,0.7787056922129647,0.7201060637882106,0.6802241788165508,0.7053923140657687,0.9168384344853132,0.7563443699610687,0.7681576059470783,0.8128288753203445,1.2922440348045283,1.918259598261623,1.7715467327028094,0.9287601791699606,1.3240179302588702,1.3387534171623952,0.9485059984490113,1.9635625117593716,1.2572495910347259,1.1886631126809253,1.8174047652118015,1.040838597865821,1.5315845438806193,1.1830552547710211,1.6228729878190107,1.1955082694962262,0.9730176362910254,0.8824591391339548,0.8891025280250943,1.0813220743593512,0.8398640334959112,0.808850516757698,0.9667016300839203,0.8859890858771674,1.0075729399901805,0.8919505824152303,1.098841867949999,1.4795225527087392,1.0555858212495002,1.1858681419526387,0.8942133870755874,1.248566440113378,0.8639332432400598,0.9415528903467241,0.8756275117734834,0.8750995111855658,0.8622862495229193,0.8372731019182333,1.2079980615093175,0.8206739562371069,0.8144180440023299,0.7595173572293641,0.7535363514762089,0.8679818347009978,0.8008817604762635,0.9866482636764123,0.9090365091180396,1.0681346302306585,0.9915207072401222,0.947819351601867,0.8974148595219907,0.9834384198667375,0.8836793877548745,0.8905967583206658,0.8839761758428888,1.0379518610112848,0.9032198050216493,1.0694165324418299,0.9111795893867507,0.9434738486218522,0.9421500120038496,0.9096493609569628,1.0470303122193614,0.9906804252342392,1.0222316116600199,1.0077075559277298,0.9002494234290809,0.7562365362523031,0.6964842627136331,0.653199324517718,0.6093736045786683,0.5843617095386736,0.6209750419910356,0.8636736525743137,0.7470029898238429,0.7960321279118685,0.7248004567629717,0.6638557995906416,0.6615944537916427,0.5696517931542067,0.605976736030652,0.6114703348418182,0.7770306360178114,0.7399424647561487,0.8095792820690503,0.8477157672608193,0.8409915482058057,0.8834875735214278,0.8451785656152373,0.8691900003130673,0.8478996514860437,0.9216939822860027,1.0049678587924644,0.8312801712683143,0.8090512816724025,0.7178695324145007,0.975441502192244,0.861219739728269,0.6667259280916098,0.6041507386775751,0.5985327006427568,0.6531998184742833,0.6073659768754073,0.660337104111442,0.7262654855301607,0.7698574033133535,0.8751551963408607,0.9397223793406093,1.1949406402097897,1.704192983037611,1.140763277182948,0.988231453445165,0.88497277542863,0.8926332471133248,0.7982692288429467,0.8512931689813644,0.7623826256191911,0.6902828089013203,0.6121892927887504,0.641456187644096,0.7414641565596709,0.8069876543809045,0.8797387154954429,1.2467160446753107,1.35539652530993,1.3092150596485392,0.9823894397610032,0.905074073556094,0.7794992200792006,0.7549224131534111,0.7274132641880947,0.806592785896335,0.7823375346536469,1.006373892794172,0.7993643613419349,0.867658224047734,0.878223630058763,0.7889039685811479,0.8066345104219806,0.7972356671394708,0.748629756144708,0.7534882308351244,0.7637580837133441,0.8011570724911584,1.448143199753162,0.9590747252728842,1.1263862820613686,0.8993656996380924,1.116161049093362,1.0492904635374425,0.9118304798216804,0.9765923001898253,1.1238288476963374,0.9947481463778219,1.0361074371854764,1.010339280310844,1.3343645324072275,1.4437210007434629,1.1540021273340941,1.2687653970851072,1.681235857457079,1.615236966519237,1.4017385250704177,1.6187837392948952,2.0880506075930696,1.7041851531398342,1.6904849117515783,2.0728961654604876,2.1311559858552456,1.774250662762661,1.9801100726066536,1.699247516440856,2.3201385718850824,1.6809206180335117,1.7606584720946257,2.0784878326796923,2.218364715229423,2.4372176525978797,2.4960948172877226,2.9031148149663473,2.294603251686699,2.2902610181452063,2.144302841595529,2.072496303314767,1.9132249864853108,1.6684874417115612,1.6843172129268016,1.6158247600386595,1.594261877332291,1.3562023550167641,1.4093272087295359,1.33373706896056,1.225001195370371,1.1693813007312859,1.1104733931974493,1.2580917864182544,1.4869699507140146,1.7755060771667701,1.9400791890186935,2.288846528815141,2.1432899210038983,1.9097925108446694,2.2770988071136333,2.435311611427181,2.058616979090423,2.1665418342927936,2.594430697046402,2.631968437001028,2.3594715774669046,2.62724104491533,2.9253427512268186,2.8120623633026987,2.6218181331482606,2.8355966101559407,2.5357626936759705,2.523578662257645,2.284184155109175,2.2968374352473346,2.3558855529273774,1.9791005510064283,1.8850197046022399,1.9488507855583794,1.847274044253934,1.5427290168555203,1.6876644650230261,1.7908014923567612,1.463584244462506,1.341043082352868,1.4571287301351123,1.5567491623481051,1.4324720576300352,1.6105306278849723,1.4524877116005857,1.5517472170794724,1.6815906374299667,1.2997244282523535,1.2973272391987414,1.211080620458331,1.277494041225016,1.2922428564517956,1.4739383478490686,1.6758290171025094,1.1045635625951766,0.9087532278892094,0.9522737418804761,0.8615176516226328,1.0309929500863106,0.9274784384643545,1.0038272393897858,1.5292579262605912,0.860257303116312,0.9217067369045829,0.9823947488124092,0.8324996543939098,1.0755660495723147,0.9245758171824506,0.9777483033274985,1.1283172591766009,1.508636227615471,2.790352234959432],[1.7675945954446175,1.4006025936049904,1.1187801568308695,0.7393070986317601,0.8547267642047629,0.8011744809554047,0.6669142901400555,0.6711100025842791,0.5621237681036642,0.5267375520095304,0.5679729086772308,0.6611669533408197,0.5790286127975273,0.5503255961024975,0.6854049200509245,0.66118648185903,0.6229830232450994,0.703459034947758,0.7719598842814219,0.6990938661179958,0.795480197281941,0.8918670316819219,0.949056095012213,1.0542250550770178,0.783195383113984,0.7943236370262258,0.6874083172106453,0.6282052492977614,0.6385338095061338,0.6521648711836944,0.7664140371980018,0.7687570655111122,0.836727633163315,0.8340296910236136,0.7400496892052965,0.6917205004483035,0.6873489982936387,0.6536701016783146,0.6109433315550024,0.5620094286278187,0.7383505619299549,0.7386911370450148,0.7644820326536265,0.7384028661685993,1.193859870103258,1.778281191470798,1.6690175810048278,0.8507989235547739,1.18151008008069,1.192182651549178,0.8098560982976818,1.8173054407970441,1.0832227980205085,0.9611595322416767,1.767889470583529,0.9685521345470306,1.5104381681740005,1.067151296178233,1.5490589785007018,1.1753461306950648,0.8618010352618922,0.8229726491890779,0.839511157792076,1.0821501071691928,0.8421482489180873,0.783846895173473,0.9541357433466212,0.8472231335984263,0.9858849840634688,0.8652661832570063,1.0547318655292002,1.463518514926457,1.0640007980072623,1.2146656900305701,0.8581754005601421,1.2796636815034388,0.8175060781186196,0.862959988838238,0.7962638744550307,0.7982581639969808,0.7788097888479805,0.7101826850790375,1.1556632086001661,0.6617655583294989,0.7834605019917306,0.6650538560656702,0.6873835652718178,0.744795021305727,0.7356545506748312,0.8962067668303194,0.8288919940958603,1.0179239735410783,0.8999372602885671,0.8556078473301775,0.7981049298969487,0.8884629982040326,0.7680597343819838,0.7891684974247174,0.7666087715954844,0.9414049260028929,0.7722163562846207,0.9421378489546447,0.7638380952582506,0.8537910881824674,0.8368058777399968,0.81413507362691,0.9426741185683803,0.8417952406117646,0.8885277536540538,0.8689655474443179,0.7758590042916116,0.6713484494853641,0.623759358682889,0.6398581380078229,0.5678973754253819,0.609777863407127,0.6079909175107837,0.697029726737031,0.7503881596178309,0.7392799467802267,0.6757927926106223,0.6292690218837024,0.6530827699152404,0.5844443023209094,0.5980353398364677,0.6072142972832014,0.6986236009034358,0.6646022132501083,0.7078259963483693,0.7089099014649037,0.7224003362798622,0.7740782798239193,0.6995747152813363,0.7446884973005115,0.6714863901893119,0.6993478739358308,0.8425378579061321,0.6562952167979609,0.7112493644420915,0.6171172068576463,0.9663542486679262,0.8534908106803535,0.6520672086994628,0.6264203044098039,0.5880256307918245,0.5799064090547885,0.5517961174636762,0.588097993732591,0.6239591640815338,0.6910096540297131,0.7660668910825913,0.8268088164142939,1.069251852878279,1.7012509521617556,1.07576708854406,0.8708039512776324,0.7540532174931852,0.7926304015408357,0.6881380222455894,0.770500246691985,0.6627945805161667,0.5858714181715547,0.5230726196841544,0.5720227234908088,0.6099563177299137,0.7338198523987169,0.6965879936997151,1.0344111286255755,1.139096136929107,1.0975541189004807,0.7706734967574264,0.699886384209476,0.5781583389472296,0.5794426930744812,0.5947780364357103,0.6950530232635355,0.665755221510566,0.9640501853760243,0.6584903681825728,0.7596654582671006,0.716251425750782,0.6834355502972371,0.690339588782777,0.6543105281659186,0.5989173430537907,0.6081623484089879,0.584246223308252,0.7068927469852323,1.3505845106676644,0.8711515119968068,1.0326248495920638,0.787024728676121,1.0040994174970113,0.9233882309855935,0.7404873322539907,0.83152593291484,0.9248323009303056,0.8431754842832204,0.9060078293274684,0.882403556128955,1.1344537437765931,1.243058539633621,0.9976614858056613,1.1211705233956775,1.4776583182486227,1.4489610723769917,1.2972711893410864,1.4720918610596958,1.904426226173025,1.589171813323056,1.5862362651610946,1.9337778184272811,2.0195289009043793,1.7417357913306568,1.9129688537687606,1.6106288737032357,2.2121831569876425,1.5617904723100158,1.6251892929971035,1.911533886828009,2.018766594386839,2.21039636971301,2.230581524907591,2.6739662358645524,2.0558918674530564,2.0218434139707497,1.8895381929259767,1.7993967097660128,1.646371980487744,1.4345611128298092,1.4575813147982775,1.358346434310629,1.3796635702151312,1.1590189183900887,1.2957856222937616,1.2303215269098344,1.1415047811655576,1.1555034526982146,0.9895027846410303,1.0328009424238431,1.2304984870348712,1.534349329915318,1.7059439628992301,2.0364290640817373,1.94194685185483,1.6873418555427318,2.031860337657878,2.210152535675437,1.8756134045318076,1.9555762655938598,2.38254067172035,2.445478726109977,2.1703684139438884,2.4101804873775596,2.720965672507655,2.6357139980142406,2.431764147272988,2.6123836937226232,2.3209980768167604,2.284844845211881,2.0519325125943313,2.0424452935280715,2.1219739824672366,1.778917465400526,1.6551398284517505,1.7396909841928954,1.6818603984957081,1.3790069112118084,1.4903514004712397,1.6749535252052663,1.3781230203127808,1.2387295739250945,1.3700586082721284,1.5316240498754032,1.4117474031276602,1.6154429908624006,1.4944564231358404,1.6796358290985083,1.636116188215035,1.3538952852040336,1.2443355570718082,1.156335611306042,1.3550625405608971,1.4035043999694157,1.6184130126145597,1.8944059655747338,1.1991705661438619,0.9471574520837788,0.8529289708223843,0.8001275382073059,0.9432298097191502,0.8769441258046957,0.9555444437295803,1.4308547404509333,0.8526498342167884,0.9159598126281977,0.8607127633119063,0.7834396004234817,1.1360819396639061,0.8788593954707226,0.8526588637982149,0.9886226010478334,1.3179867502993965,2.8537837394083874],[1.730187567516753,1.375815786784325,1.1549024948108022,0.8085586582010361,0.9322674158071741,0.877261717537905,0.7688354962488998,0.7533957226724634,0.67666894632982,0.6657588474638653,0.6940556478943027,0.7474179362102547,0.7045676056909816,0.6905091147655108,0.7929477675944187,0.7759481335996101,0.7654674054376708,0.8492717310133744,0.9367333847276733,0.8527392697870427,0.9701591277181505,1.0542547787740582,1.1131935815490188,1.225256965261931,0.9627919858554101,0.9693695753005026,0.8479598698737056,0.7938733767311387,0.7857118513372638,0.767868587116888,0.8663970987613981,0.8440281259802417,0.9223511220316004,0.9050879339798066,0.8166039672739935,0.8032116195924391,0.7815036308641088,0.7919742552796418,0.7516093183057282,0.6949426407892056,0.850793493069529,0.8868648756230626,0.9140962904632813,0.8774041051663966,1.2975468687518064,1.8303879810014354,1.7471924462101354,0.9717176809087869,1.2376776641749454,1.2529726341990859,0.920738605190201,1.845023928799573,1.1428414590320486,1.0129756004128034,1.8171376550807627,1.0571584487206873,1.5515837186067136,1.1500027887818134,1.6238947734461873,1.2334907359241456,0.9661725727236823,0.9404620993403087,0.9435199828757794,1.231871741487322,0.9907214353463711,0.9160013676822495,1.074779682987164,0.9741645312745622,1.1095697602569004,0.9842410225228301,1.1467192902629229,1.5427724820469242,1.16460391224574,1.3120981576138593,0.9629861024507395,1.3723154848757249,0.9170276924551316,0.9460961849300507,0.8896383714355214,0.9024409475357953,0.8829231583604312,0.808416633434241,1.2237090699161524,0.7677880293698162,0.8821347707851905,0.7786405989081072,0.8094592427632622,0.8476303911308615,0.8489459064711651,0.9749000158027259,0.9177185491248961,1.0937385926809877,0.9676939409547047,0.9236174591066918,0.8737727680118913,0.9531290523573809,0.8420496923670752,0.8641261457157745,0.8281050970496909,0.990363706018075,0.8530672750742135,0.9974120844585019,0.8422059346406526,0.9193574243788608,0.9096236627812404,0.877525265688002,1.0006086427820997,0.8962537774537483,0.9369382513024755,0.9215080265143595,0.8367521024066702,0.7535509661246825,0.7202176970172101,0.7692238659079429,0.7211353917700183,0.7858862052328202,0.7880002914418314,0.8257722628623398,0.9326214448920767,0.8840341432347407,0.8520878116790623,0.8072871657990244,0.8110888454802317,0.7517283819181614,0.7397092174763641,0.7335801645572411,0.7883389992909614,0.7569611730662925,0.7785155178969009,0.7801320957489617,0.7833786334943476,0.8260797553186215,0.773857123727388,0.8243101198149043,0.7522918779964535,0.7856924287007145,0.8990707180258404,0.7557606170882736,0.8226152532269712,0.7532416619093772,1.085703473268243,0.9858659731432533,0.8326742470689271,0.8051101982846545,0.7560201635859127,0.7267994802557087,0.7092493341808579,0.7168100665294497,0.7313828927641937,0.7799414341767461,0.8322688981033023,0.8942675509999609,1.1250076407514797,1.7449768440399753,1.1060142649498337,0.9237470407667487,0.8370030810752072,0.8667798303350025,0.7806579698477616,0.8473726645728411,0.7674653797592037,0.7042861947670106,0.6741144340382041,0.7098313043101423,0.724508648706189,0.8524344290403799,0.7816304993824799,1.094613752212851,1.1829910390328862,1.144314479243307,0.84934634360602,0.8009828960221936,0.689700452960488,0.687455456578631,0.7062477777827798,0.7807888852668596,0.7624675775106283,1.0347297059269185,0.7589412574507932,0.8451219151261814,0.8034722071214959,0.772006717436979,0.7751459945918326,0.7520407553323877,0.7018376355165602,0.7233932734028966,0.700904567971705,0.7901873512393641,1.4133596998189963,0.9722010004008843,1.1147067440006884,0.875723862309818,1.061895107220774,0.9816571116152846,0.7969956283349112,0.8754735459849085,0.9509236528739545,0.8831675255548014,0.9358316254056869,0.9163702883410706,1.166257633856541,1.2866127173300885,1.0329227410061623,1.1287377798554912,1.5054479579579223,1.470311534229302,1.279066784246226,1.4700398533511942,1.9305892468303405,1.5808562048471229,1.5685208251828284,1.9334471938510267,2.010489734226617,1.689949797696806,1.880207489014575,1.5868313136432264,2.203600199342012,1.5537329934864603,1.6175630114750317,1.9244285924541342,2.0540407161385272,2.261371987394116,2.294976295011195,2.7319617913538177,2.105021550482186,2.09430894665417,1.9629480152199106,1.874149866451392,1.7046462898087356,1.4690745163830967,1.4899350898360832,1.397724294854753,1.3965558398624565,1.1736280947144626,1.3021957038061462,1.232878729280262,1.143399745786356,1.1638185567582777,1.001148679682837,1.0663726897379209,1.279671099620843,1.5934617191782707,1.7857063363224261,2.132977446063279,2.034566378933294,1.7621948014682882,2.1195019582396073,2.311453028256592,1.943195345666371,2.0152633839194376,2.4645989584426555,2.518746589886596,2.2168515976414773,2.47911058855368,2.801893007789552,2.681550846235862,2.4768357283425693,2.6901199093332586,2.3748044661887775,2.353077287713133,2.1121249394097066,2.111133787859053,2.1805629320763478,1.8059383419227175,1.6936549777734382,1.7706864657392287,1.6924114161190853,1.384092249098933,1.511879348436422,1.683637089804045,1.364738162506262,1.2406749758415974,1.3802361926395563,1.5453462212649562,1.4158578998677676,1.6263571324237571,1.5069833622293063,1.6790649959490282,1.6393601818139918,1.34608279010947,1.2227692756130661,1.1376539223396072,1.3592282920671148,1.4216009662399451,1.6470186188040354,1.9211258180985247,1.1965446324850544,0.9723040865523761,0.8848571307641376,0.8595645388844733,0.9668250523768056,0.9203712666452134,0.9839961733108322,1.4910505989930098,0.8957663448231106,0.9307280288330642,0.9022100430276229,0.8404811094816608,1.1693011359525902,0.8968411824164704,0.8983727551238988,1.0441275708379802,1.3802305041942866,2.935995293372941],[1.9884097589403107,1.5764074096740623,1.3933205116593852,0.963162458706157,1.011424918569061,1.0413948062708656,0.9083429307527052,0.9452964871074266,0.7992833094376677,0.6996521927353164,0.703624761217684,0.8543050774812659,0.7458316345011922,0.6657814699578442,0.786740688937759,0.7799356711754798,0.7140388176591217,0.7709053491801282,0.8301588737461187,0.768759152003259,0.8348452472511746,0.9387425680205889,0.9837076112372636,1.04389060869955,0.8263804898771304,0.8474526105453961,0.7852704415615793,0.7341897320436656,0.7314982706591296,0.7798092314590619,0.8416224829238241,0.9075743932841408,0.9922159625777042,0.9499598085557915,0.8871750753246274,0.8054930552531829,0.8230432383213959,0.7729446826880271,0.7488640600373921,0.7454745678287403,0.8887919352035035,0.8138187117114144,0.8315012499779895,0.8512861746238574,1.1982003445983114,1.791773017650543,1.6305828039216441,0.9616876769370323,1.34186020076591,1.301594138605979,0.9551578714866568,1.7659962734217307,1.1369163180345603,1.0773827038262975,1.8835132238702006,1.089083110488532,1.496223882697987,1.1745101334674168,1.7195293720070588,1.1871870579436903,0.9075588209503826,0.8859148272031868,0.8942754322340137,1.056723346115032,0.8286212434088613,0.8275792817175158,0.9837006067674612,0.8700243503593816,0.9992246694732619,0.8794094417824865,1.0700166370588233,1.445900882871138,1.0453717325364362,1.183016117202088,0.8759715271190035,1.2502532256252445,0.8412044228334883,0.9196598163461798,0.8730692597928882,0.8948264995766084,0.9448108626243623,0.8968520863440219,1.336955019893391,0.9399237403481608,0.9327291332056015,0.8452615107523522,0.8119370786271074,0.8868262350176105,0.8231454658034909,1.0080520620368534,0.8954644602380989,1.0541294064907543,0.9521759199555464,0.938766417460862,0.8849172380251221,0.943940427927429,0.8809550977244248,0.9341681202917037,0.9453966264356678,1.1744889893975112,1.010221547672494,1.2486868710511012,1.029053840576775,1.1378513947764934,1.1364080061218882,1.1170309692188711,1.273885548179186,1.1973763335867798,1.2305484015769348,1.205058587681707,1.104007415410074,0.9566669763617077,0.885619834782993,0.8355485276206789,0.7454583772424236,0.759307976514728,0.7313874825401244,0.830002131978015,0.8162701969699127,0.807994384190353,0.7536452389244661,0.7318139650889307,0.7595202173570441,0.7483124272108217,0.7928365692359134,0.8155429766950026,0.9818266243310967,0.9460902129511785,1.027785907207786,1.0577116128548492,1.0884631543357095,1.128178493131612,1.0538405356216096,1.0952068563789334,1.0296757053170342,1.0489418899149616,1.1623711071055363,0.9557044012848387,0.9291293412568932,0.7994388509917367,1.0213474188922984,0.9302938906775189,0.7727682486932398,0.7429004377474177,0.7104830367314892,0.7247053070773967,0.7123166933049334,0.7723052712157572,0.8629159383486534,0.915700160924975,1.0449816748309575,1.0895147080327163,1.377808865513297,1.843592227893735,1.2857001855976273,1.145491231740471,1.0028560020901636,1.0687213491408871,0.9164211833445048,1.0215174040230681,0.9075314208978895,0.786566082657383,0.7218581764393431,0.7587044155991135,0.8547588998445917,0.8942103312580422,0.9710363803325852,1.2579010095315646,1.4276716881813991,1.3494737863747048,1.0822547794324417,0.9835212204817508,0.8815257030417696,0.8466598570263494,0.8585066924625745,0.9842712802593461,0.9202904310938247,1.2110960048396264,0.930490990392951,1.0725155054961781,0.944780670018818,0.9680465821501408,1.0031627254201063,0.9840752791477935,0.8958661952724023,0.8389719104828107,0.8011801493026185,0.8896236045466245,1.4554747980143437,1.0271067132148437,1.172478456947139,1.0133876598598182,1.2251094401289258,1.194153755510615,1.1180674510913635,1.2322934481068266,1.349112904811928,1.2377290658121254,1.2828229068492651,1.2587241094779156,1.5624963663503177,1.646047180325381,1.370914906465163,1.4838979436932604,1.8880847818002562,1.7988337220709993,1.6208080347874303,1.826964991703177,2.2705201105192088,1.87038834895698,1.8701178840603443,2.2504637502728606,2.2701460748877276,1.939022463917626,2.156483098980239,1.9106846354675255,2.5274077576190415,1.9510647001372796,1.9923184917532772,2.3225798539737155,2.469960991479862,2.6968585857735285,2.797811252093012,3.1528732964930786,2.5354174808257377,2.5306042946010985,2.372684843930452,2.3034314877061144,2.1847237567223172,1.9028180204878096,1.9175015738543517,1.8539769451043218,1.8055559964032302,1.5961488602273395,1.6697026113847273,1.5640806041779618,1.4667788940792665,1.375767048792665,1.3700545200117755,1.4989976230753623,1.714513054303862,1.9829824544448935,2.1333425444641967,2.508189438045438,2.336902576203974,2.0859876417381398,2.4844909640825588,2.623132136667569,2.2050845313465395,2.3463443063331537,2.781836561721604,2.7967633600348143,2.5068676839007455,2.821725558146534,3.118989945619262,2.9468988084823446,2.7968817980975333,3.0395835134527225,2.746140848813224,2.754776537783985,2.506156719371251,2.53411532350272,2.594652083175929,2.193002512348032,2.110198669153338,2.18813402336135,2.072664994516279,1.7698754262480372,1.9142026981723168,1.9900845809076388,1.6837943072145318,1.5663664354354467,1.6971383540889289,1.789629293654038,1.674395979424177,1.8213093436172079,1.7019097542139694,1.8029321362634552,1.9796858956001737,1.586919156175598,1.5457370906962447,1.4342540671659139,1.5559646024345393,1.5415969541391532,1.7154682850668257,1.8455254369275014,1.3466454727848483,1.1915546325121928,1.2092967153381722,1.0716159715775972,1.2966626854358145,1.1977438165935985,1.2743736182265293,1.7005455053885128,1.103987503371222,1.194216194630845,1.2307567529953791,1.0725456348849842,1.253583781326516,1.176833090896492,1.2200366468420996,1.2646101548913393,1.6510970566761782,2.864995040272523],[1.7910293836149835,1.3471065528928938,1.2039501663260956,0.7357725209417083,0.8333202987240681,0.8322020613915838,0.7560298898187986,0.7670358265088488,0.6696320384431323,0.6465641640354596,0.6819644673710283,0.7521115632441702,0.6986699226602371,0.6708524339310116,0.8124348713122421,0.7805214896996665,0.7487945748881986,0.832457732485139,0.8763534276569054,0.7993370126809886,0.9039400570060835,1.0664290908045844,1.086255970503678,1.1137202569541635,0.8613495099109054,0.8868189862654249,0.7933555554906732,0.7322160905780264,0.7567047168173093,0.7788954909829799,0.8743868719588126,0.8696996417334152,0.9600997448886583,0.9444700967540525,0.8750122858726689,0.8187587127883068,0.8054641752906516,0.7815586786036043,0.72480756345157,0.6677501551367608,0.7634571771885549,0.8319426838074299,0.8730740592748977,0.825131449101702,0.9882076617492557,1.4903194483898476,1.337006917054795,0.9371521271414818,1.2206454744011588,1.0713708196778355,0.9515696075681069,1.5308957954841187,1.0310861090642691,0.9503381304181993,1.966391899647361,1.1778392630944168,1.4742260426888794,1.2032351530692167,1.7976598929543002,1.2347425872155973,0.9107932903836053,0.9078947687520764,0.9422575663145645,1.0624139474282002,0.8681394628321902,0.8738215911475896,1.0349989101987027,0.9158144498223516,0.9932249978883664,0.9282214458080276,1.1148644500806468,1.5394286378767528,1.1411757197946142,1.2486611502196727,0.939635259326721,1.2976298262229755,0.8958855420607711,0.9634351290424011,0.9083640459905203,0.9117121702685305,0.9284083752126076,0.8622413760811052,1.2846166551321525,0.8793145324103296,0.8648777582018274,0.8095821523634515,0.82940179839972,0.8745769573365113,0.8603527476525424,1.0325767243317998,0.9469620575191969,1.0848688218277371,0.9994817916334174,0.9628664599239906,0.9088638725644359,0.986724633154376,0.8903177825698027,0.8902302872569778,0.8577856007814842,1.0173206013917617,0.9053384818034769,1.0687661328004898,0.8941603123033474,0.9598085661891513,0.9553038621172075,0.9056084519728798,1.0301282834179337,0.9290334675740454,0.9579364570111607,0.9671053314061806,0.8426518466070082,0.785669805754698,0.7376593621151654,0.74155296805116,0.6909309038534294,0.7277063647345872,0.7124351333026454,0.6568136745556102,0.8194306721660971,0.8027663356198597,0.7546989121182147,0.7115587911093773,0.714280818881779,0.7224264573684626,0.7157866373129949,0.6955959644184058,0.7802540617488125,0.751540083045691,0.7917455188964946,0.8381819469654188,0.8048614103735728,0.8655864818460381,0.7929175185344229,0.8746036381950851,0.792307242522493,0.8048751582167747,0.9685942971037776,0.7421128504714135,0.7718564064306762,0.6397340693351208,0.9146243860512124,0.8020062043694645,0.7279484475793452,0.7233842882271754,0.6894424417732405,0.6950666212141782,0.6645325423585141,0.6951102740578663,0.7427937710841847,0.7856401519255245,0.8514883096673962,0.9065174304395979,1.1516914568169598,1.7438090472288788,1.0825019208377031,0.9579017046531768,0.8756321899035668,0.9040053863416785,0.8100660154622705,0.8547597784345564,0.7821897953472507,0.7160219037752545,0.6244975906114005,0.6867767059202486,0.8009863635333859,0.7506004688419741,0.8058586056722584,0.9988605274812021,1.1810820668117556,1.110477866701244,0.8627555466721082,0.7503114716959524,0.7047381781530748,0.7265466140178612,0.7355194867277474,0.8293965547291078,0.8027557825444471,1.116072406068052,0.8101915426745264,0.9150068464399663,0.7686740172553522,0.8039532852584508,0.8074997567402175,0.7680791308145246,0.7162986635321454,0.7237788561364006,0.7023161897313032,0.8144536566983024,1.2598375638205392,0.8981406394615703,1.0001004649400687,0.8637331932180865,1.0693052196668502,1.0242028664901217,0.8513341647339661,0.9351672877768792,1.1140132256257533,0.9354638453031953,0.9714125636033588,0.9729165856361732,1.2961955289413927,1.4118880244855307,1.100502560739383,1.2228108232800197,1.6464404347944712,1.5676644612081505,1.3416604058642938,1.5604951766578747,2.050591818338339,1.627978828268039,1.6204564079542894,2.0115180407142463,2.0471318292404987,1.7558997811307089,1.9227951809521628,1.6250010771969625,2.292524939758196,1.615627105383456,1.6865290401280109,2.0473245612377107,2.1576255477965995,2.563907457485532,2.506803916373924,2.919602242795103,2.2976259032908652,2.3082446778829553,2.1609713977974456,2.0948124071516863,1.9056976224495146,1.6417882535459345,1.6876610481263687,1.5773837748639956,1.5441677439878527,1.3220918176631105,1.4114979967071624,1.2611781582017452,1.161329891138935,1.1574474157243064,1.0603372769541108,1.2408615927493474,1.4671128622783611,1.7755400713680611,1.9637028735891464,2.313674810643849,2.2007932274320834,1.9189884987267818,2.2968396149006898,2.480064840423613,2.0626734281435732,2.1681036547862744,2.611424788720438,2.6411078549668203,2.3322933670102595,2.627350452112318,2.930825122724545,2.7577576330044935,2.5870483642979245,2.814754608263567,2.5171599591493927,2.529216810644132,2.292671780943618,2.3104927793393815,2.3501438142665183,1.9460521032103257,1.868827802535778,1.9271854966793034,1.8057952372844202,1.4934697434784017,1.6467576673345374,1.7015912090803968,1.3914890956883204,1.266502673830182,1.364330878160313,1.478599845685813,1.3578280521839217,1.4999678206794351,1.3736825221795284,1.5143467177144703,1.5985582198590456,1.2398622262748553,1.2039221043114754,1.092762794063937,1.2753571030992892,1.2828551987293213,1.4417990874600315,1.7127551437193462,1.0482558690298471,0.8829563153782847,0.8920569901669662,0.8512023785975307,0.9662838545732988,0.8766169161105308,0.9039850742617307,1.5196541260320724,0.8604280877174462,0.8475634062804359,0.8703838977365237,0.8305929676682485,1.010092631648102,0.8587909187017121,0.8768449874896095,1.0198486963967244,1.4654471092160162,3.002126362219911],[1.811206441399758,1.2843967604626396,1.0045227288640757,0.6503244483089113,0.7211203078184422,0.7135928460581519,0.6424538382374253,0.6463035303134675,0.6112304036098956,0.6427246693358937,0.674211784093368,0.7258531792631057,0.6752421330595525,0.7000818518216155,0.8513704587188287,0.79440545703542,0.7638217020142998,0.8791272936571677,0.962777058397506,0.8662448924824973,0.989794481133183,1.1010077242050227,1.1692832676018685,1.2397861653328746,0.9547962423815355,0.9761069787599066,0.8560260145402429,0.7854423182367123,0.7783239377735298,0.7774777798195217,0.9121556024325265,0.8793756932010038,0.9530744068163483,0.9849060369307153,0.8968786988315034,0.8602389118741236,0.7913109736746384,0.7926835273895759,0.743970378734075,0.7050493811571227,0.7691362745790943,0.8764342808831332,0.9338503705725194,0.8650979214554138,1.007477246990061,1.4680372639904886,1.2878675448416557,0.9885687351217322,1.2305245976459749,1.046360958058693,1.0425044291426406,1.5388322962363912,1.0945997221483195,1.0056065646958119,1.9643051435849945,1.2262991088482174,1.5389788453398436,1.200694477499147,1.8020001314646572,1.2754500006317504,0.9527174772078875,1.0041442829795333,1.0504805959434207,1.2147165452068458,0.9604805383176119,0.9541613410316803,1.113565550179405,0.9909165854675027,1.1048034915484974,1.0349070280364983,1.2385546895355504,1.6750355021809358,1.2380312845670622,1.3762377983193579,1.0376164041178784,1.4177826016652744,0.9797901746242978,1.046832456699192,0.9744390163987986,0.9777833638068208,0.9616581937615809,0.8528834260702968,1.2953762666273994,0.8664193627165941,0.8770570933743852,0.7951389088767462,0.8393792663093252,0.8536658753053197,0.9009949064420938,1.0704391221010199,1.0150506408996325,1.1706825811216024,1.0757568311606764,1.0250860429211521,0.9499986291224767,1.035722555531666,0.9290554145915761,0.8991338543897062,0.8585667201581205,0.9949171506997827,0.8764216142047819,0.9920943001106924,0.8419109910700439,0.8924961825933995,0.8760880551058199,0.7874242602648538,0.9283566969209335,0.7790240876532086,0.8065521877461133,0.8580918318970949,0.7048206032926547,0.6685784242435593,0.6476327524377627,0.6803435544549404,0.6893517867868826,0.7573169140479118,0.7593670444115843,0.7350766752693866,0.9317361530388791,0.8982642301461249,0.861442050353227,0.7926502496806879,0.7835117592360394,0.7534619862969656,0.6924507144682498,0.6556289199487803,0.6878280598797041,0.6579714277610632,0.6512452892213403,0.6932343040827614,0.6840257704430323,0.7258972926962811,0.6726695877892261,0.7759691748617563,0.6716434495046338,0.6816526422424148,0.8461296561770852,0.6592952273594954,0.7392555728126794,0.621487500275511,0.9123523983821655,0.8006262559668621,0.7597063150743704,0.7555397044864572,0.7073370543881031,0.704521037414503,0.66194404598056,0.6730645641675018,0.6572294679412551,0.7005600300307875,0.7311734495505646,0.7669125617646667,1.0299562838407537,1.7183523769770455,1.029826587186099,0.8852843924167808,0.8024500900385781,0.8157603827360073,0.7617345037268992,0.7592426228389274,0.7070405581082992,0.7084800148791752,0.6083416944709569,0.7092522813998385,0.7611460034983695,0.673242392900228,0.7111130352885114,0.9083547146221731,1.0669657994730446,1.0453139596484413,0.7619406317242697,0.6685749532400563,0.6190119222542292,0.6475968655490322,0.6862611274483156,0.7988377881051406,0.7772877350637776,1.1028697767049562,0.7890219669808255,0.9070939179746844,0.7307705725527245,0.7149102395049495,0.7155231361617114,0.677931378996349,0.6384699999812373,0.6517896706113321,0.6651359033907535,0.8143447941768057,1.2817129705833616,0.8512104758520415,0.9765581419399588,0.7808465047468609,0.9712549668826125,0.9178929834279195,0.7479820533109579,0.8052243395804359,0.9840153518271965,0.7995205517118014,0.8301452311239603,0.8225809761228132,1.129942208538905,1.2583288364821308,0.9418655789709894,1.0736405482847073,1.492425871358069,1.4218179238047954,1.2647974940509261,1.4271514446603513,1.8982919742032849,1.4947578489355915,1.4965816849617106,1.8729762972751547,1.9106720819778236,1.6903334422339809,1.8179823235005759,1.5315815188312063,2.179538627778422,1.5115617248596476,1.5530825824477532,1.9067773129057761,1.9891748585975753,2.4778640819403246,2.3776020027702915,2.81090814625827,2.1528212538024536,2.1404004013226134,1.9881543704269864,1.9332380424827083,1.7412267856293389,1.48836562864275,1.5466241012030408,1.4064793943426739,1.3934565417158347,1.1665814185547863,1.2962360846775702,1.0877784764309106,1.0312375953131476,1.008879395849222,0.9113178545857932,1.0867142627157331,1.309322448387907,1.602979533172192,1.8102634409820557,2.153392626941378,2.067295372257983,1.753149386778841,2.1444214784967595,2.3451382114379142,1.918744068402958,2.01776087998473,2.4747306808789045,2.507054942379322,2.182616225386137,2.4803016155241098,2.78959531700697,2.597444549033316,2.4341799163940054,2.666313981663929,2.3643528941580096,2.3790966154111866,2.1373145695932583,2.1507712569025443,2.1922849624400205,1.789433353009097,1.7091188250711487,1.7611694903976556,1.6449338545651173,1.3497704202713163,1.4880833727196672,1.5449631597217959,1.2695136597510797,1.1424989151653884,1.2394465502913719,1.3471799456447433,1.268833272271777,1.4275224243296265,1.32463997943523,1.5157228337074624,1.5532231912697314,1.203453853482654,1.1174590292647029,0.9938154256614624,1.244323978722921,1.249342179876645,1.4254335077527043,1.719725072630021,1.0029756770786153,0.8078717105873112,0.7771670712684262,0.7240456801634065,0.8406946427911769,0.7169022472116746,0.7538121513326624,1.4953960119356702,0.6643342074026991,0.676594788362974,0.7162386969413687,0.6614888106373178,0.817410274143653,0.7118181412961397,0.7087513912523619,0.8236623389151271,1.3447226234411394,3.0207543277467797],[1.8101838767142922,1.265962316598984,0.9008490195629323,0.634393321771725,0.6938354452615741,0.6565067656971723,0.628570549300088,0.6329348975029706,0.6384689551271225,0.6671311777113422,0.6986027389295538,0.7465452376645529,0.7081074245895151,0.7334974927613478,0.8793293116280567,0.8412598863911469,0.817832065259937,0.9228650378548333,0.9997053559130133,0.9174721073071516,1.035553092686208,1.1323829036745345,1.2112403173758266,1.2794352711586858,1.0011202140039113,1.0126353271611772,0.8920790427240792,0.8246819710526802,0.8349366387781576,0.8363498124080666,0.9612285199836244,0.928448116690989,0.9807546593448485,1.0307600270903927,0.9449918970113963,0.9242825436110916,0.863973205111914,0.8404668031523068,0.804002543534665,0.7949574171727695,0.8029381865216868,0.9343511853463321,0.98992073195326,0.916451205078249,1.0675520263811222,1.5312137829319417,1.3583294254729668,1.0471784662939494,1.2816827064854652,1.1008468961465796,1.0927059279303473,1.616757706147105,1.1968695576294965,1.0922809880846052,1.9488251587299572,1.2503975759849402,1.643930642415061,1.2186128904416513,1.774481900471084,1.3390068892066236,1.012857319134276,1.0764129921360133,1.1179674133375606,1.3109781392951316,1.0433013975640724,1.0178072664565843,1.1710010748839772,1.048018798420926,1.151049469379096,1.0713944127982555,1.2788099284332648,1.704557370900034,1.266339643092106,1.4117170325279866,1.0813761482173117,1.440430515949548,1.0534194682455273,1.1056142378149159,1.0370268453840494,1.0475990728419358,1.0290258366351537,0.9109512155706225,1.3582856253164317,0.9062430273329013,0.9300026021992318,0.8528015975096278,0.879633069630414,0.9081341354880762,0.9710984732887462,1.1166822634538482,1.0694694589774054,1.2101647002464861,1.1165416409827547,1.071509507335498,0.9962687803740228,1.0687149105342806,0.9668591273708698,0.9454454605370386,0.9037349136210564,1.0156675343533657,0.886718055006595,0.973754361901407,0.8494634333870569,0.8662953717277575,0.857800970615741,0.7680410590114308,0.9398100777678521,0.7105461716592759,0.7266371120419878,0.85496828579887,0.6537007555076744,0.6665355984543482,0.6525875026360886,0.6898558737869487,0.7131041201379601,0.7886919859913321,0.8176897564351469,0.8443627640372182,0.9845698364613611,0.9720418075743731,0.9257622238922874,0.860084463949654,0.8221184478260211,0.7538187623120609,0.6776433316763466,0.6610974336995058,0.6809833616332813,0.6571397945787458,0.6104313024240738,0.6646774029723809,0.6578520094472283,0.6920648372254345,0.6375747058080198,0.7571910544118957,0.647826331380518,0.6628694646235863,0.7954956069571126,0.6776031220376862,0.758943320667853,0.6992943975717911,0.9299006951941082,0.8506292883865978,0.8100344193990857,0.7867500939756675,0.7402157615635145,0.7421158664015554,0.701397647947297,0.6992995124060766,0.6563347492630214,0.6951861951919557,0.6916441786618837,0.7210742401456689,1.0004042649279117,1.7336288511747313,1.0513310444596404,0.8746737076699923,0.7970138396404075,0.8058645252735593,0.770736890922229,0.7429743942684077,0.68344741371984,0.748002504969654,0.6573642346307675,0.7655126666340427,0.7281361269353188,0.6771300490992753,0.6862192801517187,0.873295418110088,0.9841990541613664,0.9963016232261342,0.7405570335564892,0.6912661900627053,0.6290710088137783,0.6666116390124932,0.712300121818334,0.8129437767661051,0.7982182025627236,1.1489298985325436,0.8057508189482814,0.9267920430736452,0.8032699167886902,0.7060368986608394,0.6985240043366352,0.6381636311447013,0.6343786165195048,0.6711300580380313,0.7003761735690256,0.8678434857613494,1.3416644201552694,0.878210080157566,1.000204326213427,0.7590502913875445,0.9178751716882715,0.8665390991766911,0.693539033396114,0.7803398879778343,0.9301916176548731,0.7118869553541437,0.724653422359799,0.7270247873510016,0.9725274519703636,1.1292974552414798,0.8379908005001877,0.9304044535063478,1.3331170646488713,1.2893863139087338,1.1551734189194067,1.2722755205758065,1.738055795164066,1.3667817517897496,1.3582415163761192,1.7073118985736124,1.7698514251232247,1.597113292334236,1.6703442371656125,1.3922615180187483,2.02005433084671,1.3280676578766495,1.3556839546759916,1.6913027956042133,1.728141258154897,2.3099356280082795,2.1129627502725477,2.550010906420366,1.9246647631882194,1.9304058778626885,1.810962996532811,1.755936371610624,1.5401130820082942,1.2962170723739272,1.3875342074308383,1.2045698206675495,1.208537038220532,0.9973545461799892,1.1600311476295722,0.934392221983067,0.8788227944841991,0.8888778808343524,0.7566560130088424,0.9564412324062016,1.1770934115838185,1.4500526646768488,1.6740503136742888,1.982957297572673,1.9480742003415912,1.6193995841503146,1.9843594569536942,2.203146248476945,1.8106946473247678,1.8800079279585964,2.328277806412333,2.3743120744957085,2.043798291819031,2.3021025102638464,2.6056466161446847,2.433415501753241,2.248444141751102,2.457603035329564,2.1623531227470894,2.175545232350996,1.9541916926042537,1.9456561836449262,1.969449970672812,1.59548686486411,1.5033574441295159,1.5338238483535398,1.4272907807425557,1.1537098733203643,1.260313385250563,1.3239947376475092,1.0644506713018458,0.9399934695395707,1.0247471886477157,1.1429779199772117,1.093488745140502,1.2456124331334137,1.1862922848246045,1.4658465823132951,1.380202581838573,1.0924993243150352,0.972848011557189,0.8613144936010962,1.154730227783815,1.188649744304051,1.3734207132524094,1.7634655865858444,0.9743174376920603,0.7869349693270749,0.7166785362473309,0.6818428327851098,0.799330168542475,0.6484635794269049,0.6578380989771977,1.435558725459703,0.6062430936023854,0.5984817661205325,0.6439573657667083,0.6117132425573085,0.7035396920769723,0.6432857220172472,0.6653270861218875,0.72971127483794,1.295354129133851,3.132083344038262],[1.83527667638633,1.2696573442434893,0.997540971307779,0.6568762257023367,0.6471190987946238,0.5814781477352194,0.567384541693076,0.6862750505668695,0.6419759622247669,0.6815916895406904,0.7743787920341951,0.8865017267464355,0.8169354837812021,0.749925301273145,0.9741506017166413,0.9653139768347745,0.8478205668609703,0.9617813193535263,0.9898176231988108,0.9588989861291637,1.0294915501507043,1.113184123665539,1.181422649033248,1.206339216051054,0.9589378159087149,0.9747984987470625,0.8813214323351991,0.8488934994061725,0.8929778926972747,0.9468006146491874,1.0719416833148372,1.1022157329818008,1.1956652044702716,1.2282638961136665,1.1205649612198176,1.0479290716168754,1.034242908168002,0.9464017189300588,0.8902711940861985,0.9259160735932791,0.9761882174231903,0.9443863509411854,1.0267871052043274,0.9423083710619491,1.0729644004438796,1.524456903093753,1.3113034882151002,1.0608451579501736,1.284319161751696,1.1337171655413107,1.1966870407806527,1.6520750712481067,1.382025611317148,1.2905377637235584,2.043883995161311,1.4665388808892312,1.784136511827455,1.4032136620493125,1.927266892408523,1.457344469869263,1.1264938837536034,1.1933760980070383,1.2456557211642643,1.3714880003722472,1.1359597420119123,1.0797299924031936,1.168262610157057,1.1111086430984893,1.1378602002903058,1.0869135954024307,1.3018237194260136,1.760164433585748,1.326581536297334,1.4340237219069447,1.1590853294357455,1.5457881839749896,1.1832834701548387,1.2769634042209563,1.201809972304189,1.1979054266437734,1.1919063712631046,1.0844272878966483,1.4590697325784223,1.0727907022891516,1.0173490560948233,0.9832692453154027,1.0372966441366573,1.0933699546165556,1.0992570424479085,1.2857685946988016,1.2234863694885578,1.362539261358066,1.2892210706706793,1.2567061540535232,1.1332822359378907,1.2318502030798313,1.0208956019621416,1.1195028232039912,1.1046183217361691,1.202511438312421,1.1095162372811083,1.1591759777960355,1.0435011317579284,1.049131931476358,1.0043144541481175,0.8928602666876827,1.0680532426335974,0.8109355999964829,0.8136534166210171,0.9461666805366509,0.7426568947277148,0.6985569691000082,0.6563965116214446,0.657940343909376,0.7182789470339066,0.7055127873114666,0.76194158713472,0.8882307077039178,0.9226154408782004,0.9677699585788502,0.8725173263691836,0.79189494184015,0.7152865158203665,0.617609141476972,0.588680943348229,0.5848116168417122,0.6453435751309788,0.6550371955671815,0.6764516532011177,0.7314798712297385,0.7150713703006704,0.7595427891578445,0.7159328806870271,0.8341976125239422,0.7250998621588572,0.7553530214876132,0.7834058942302343,0.7540339599405989,0.8031887443972549,0.7419887224556577,0.9582017419062961,0.8826443186793965,0.7802879888302305,0.7425513653598489,0.7588591807336001,0.7946799655909806,0.7167164482134709,0.7635512220212736,0.7544965991846173,0.7843150663111762,0.8155407767379933,0.8716036838953806,1.1103731119861493,1.6893753341401232,1.161188726454136,1.056469576851614,0.956824721442308,0.9474500034907264,0.9078867657531078,0.9036670627829777,0.760378353270391,0.8162094190590505,0.7230410072827574,0.8207641209209617,0.7830762027977539,0.8035006919684494,0.7425917887427352,0.9612197943012927,1.055061396208846,1.0941148429954466,0.8201150594521117,0.8186743699185144,0.7384389434287121,0.7810499018148158,0.8396669805418028,0.9594316832800681,0.9683358683153919,1.2673920656148314,0.9648057818366059,1.0797177301705307,0.9447373441628706,0.8414014159792533,0.8337822035201451,0.8099406888784836,0.7727036642883823,0.812125909506241,0.8294877005184822,0.9294509867128228,1.3826683768127457,0.9047904281026846,1.025347843040798,0.8315750482801076,0.9431367605307074,0.8622790228152829,0.7777275956228221,0.8094541616886748,0.969839812568562,0.8175597412388537,0.8361747796425915,0.8187996020417383,1.094995636043396,1.2189525953157612,0.9289660251611591,1.0341824209236001,1.406986729900341,1.3208536835795701,1.2321632273106695,1.3382298091869846,1.7549703965818795,1.368016462831342,1.387483376043104,1.703292602838027,1.709168854059532,1.5936461823778798,1.6591164963217746,1.4367903710851333,2.038360171052249,1.4425490155724487,1.4545705615133804,1.7695799905141076,1.8354387013247087,2.4558878174323424,2.228934614952937,2.6757681068821646,2.0388836703951787,2.04953086163554,1.8968448043914627,1.8878119488800138,1.700649964514036,1.4442667720822724,1.5333720616535615,1.3708227915517435,1.3798840268518824,1.1580576644352822,1.2617152815115145,1.0516186539286154,1.0064181413406375,0.9405991272903564,0.9072358877833536,1.081477394759922,1.299165227928575,1.531129589369725,1.744773098680489,2.0845901575852044,2.0016335140175197,1.6707421667948672,2.0565162120802536,2.243354099032076,1.820387395519712,1.9113877090430427,2.349080353127979,2.357409155845672,2.033605270468234,2.317382619885247,2.5916859627865905,2.3678839507630296,2.235578259445992,2.4737083197152994,2.1916785882183505,2.2365417888172434,2.024591551352565,2.0537407935944256,2.045700347017866,1.6612717268633512,1.6173424675269599,1.6467180626231668,1.5219804888948747,1.2795429190903187,1.4120226721699525,1.4687602908873105,1.2077787631818093,1.0870587662684346,1.1722942392283946,1.2440427676163694,1.2359431423337466,1.4122115367871693,1.2977982713265237,1.5653907452630602,1.486276651470277,1.2582634883767803,1.1029143869690932,1.0021406121591876,1.381188540347177,1.3229157018198177,1.455711805100172,1.7205935136200203,0.9778209266609641,0.8492815061239328,0.7800688512337696,0.6841858319119922,0.8670482496449999,0.7785842528307688,0.8677941955254822,1.5483129811984626,0.6486735980522232,0.7943693890346468,0.8542657925992767,0.6609018571954326,0.6951473947417149,0.8115446995718452,0.8161292557897546,0.8538556467295667,1.3680488633159094,3.081954203936986],[1.8869417214174575,1.3512690645366103,1.0432799738994232,0.6713167997319641,0.5808470027924276,0.5771376011506296,0.5056995248166601,0.5964833469051524,0.526668281432887,0.5119205782543063,0.5742285695719356,0.6791430342642752,0.6083946490957428,0.5520618011763655,0.7543213515986734,0.7297132156152264,0.6477731939860878,0.7555096688299887,0.7997088345180889,0.7331531542804726,0.8153807655942593,0.9535036777587753,1.003643401303262,1.032392305921151,0.747632860003696,0.7805339600396454,0.6898445634572746,0.649489031101921,0.6779442506127619,0.7177800620729972,0.8219232959862057,0.8492042788113379,0.9364032429426258,0.9354026769838594,0.855284032183185,0.7825670278178245,0.7656443979316859,0.7113452383001848,0.6537633050622887,0.6536848397593208,0.8523013312526522,0.742681804194127,0.8067247021249087,0.749643535883253,0.9524591223746585,1.489514398090324,1.2484358640090927,0.8584766243139936,1.201782561729976,1.052702277176315,0.9415527542063695,1.5797635066394904,1.1272306859418708,1.0426519649757775,1.8892452211584945,1.1974966904251307,1.5382593317796458,1.2060400448703221,1.7924948138061096,1.2231837140082251,0.9003797103112281,0.9190613618679621,0.9314083772863058,1.0877021928034902,0.8569348832103543,0.813076331032729,0.9766608534152025,0.8984527948009714,0.9489271127462943,0.8773820651182744,1.0911913469463264,1.524994412724543,1.093143357747592,1.22224251704973,0.8953125260049659,1.2329725014011583,0.8800925013691392,0.9713585890501043,0.9104558592505918,0.8984706214806155,0.9035212869071315,0.8350414760652115,1.2589933962968543,0.8666785836329111,0.7771377279979105,0.7465008326296564,0.7782696419025789,0.8483276747206837,0.8234081421274484,1.0351797665182985,0.9305481783570451,1.0696761664451588,0.9904061901296679,0.9525667819827229,0.8718639648908963,0.9574999293914336,0.826381286933449,0.8515008131691898,0.844227039763458,0.9866699478960324,0.8730238276136845,1.0086643404026403,0.8609914781113776,0.8737428372509735,0.8510176811805835,0.810325656466874,0.9459136511677458,0.7879751916856311,0.8184544475941458,0.8676278326967347,0.6936342035435015,0.5956030153527879,0.551225711675211,0.5360604845182937,0.5458953733531587,0.5342484750044815,0.5628703398625314,0.7122240225486615,0.718526703292686,0.7410302488948078,0.667803610395309,0.6037652205521165,0.5702128112077293,0.519705861763563,0.5188723693503641,0.5065068295806654,0.5780551544007989,0.5851626063139598,0.6371506312204973,0.6991299089038036,0.7095643255684665,0.712354081163222,0.7056995920449431,0.7595438432653013,0.7433928843509684,0.7874630930400772,0.8727886181697286,0.7453497991194367,0.7506469003598395,0.60313816570115,0.8955649942146179,0.7619088119303412,0.6063447884273276,0.5560002726562727,0.5622444387028149,0.5904801262015554,0.5271933767647287,0.5992192131315323,0.6124411386278518,0.6357032193802034,0.707962240197721,0.7596701215991944,1.079295592863632,1.6548531480094237,1.040680911722727,0.9008983864902352,0.7896406429793534,0.7991417074415365,0.7297616237959725,0.7488097988679389,0.6640092840013516,0.6231096362873381,0.5358381412557659,0.5996762613667269,0.7020454530238718,0.7453666959092359,0.7439480120161069,1.0337061475095781,1.159755720609002,1.1684473009455156,0.8482950629743331,0.7844890149633388,0.6691474494441109,0.6612198680384423,0.6530562435977194,0.7618734321897943,0.7411539163873502,1.0221666906370268,0.7494683849172926,0.8546196596570129,0.7897644245108998,0.705327829352646,0.7065453871795917,0.6874964495976387,0.6465562226474174,0.6761335037424523,0.674941023168884,0.7640139106898365,1.3277698283343338,0.8261571279397301,0.9911084317220842,0.8026707003603419,0.9899402028595706,0.9163817145412516,0.8078358797310131,0.8496476779345464,1.0783209696356229,0.8737806813676348,0.8970197095502599,0.8552803651045585,1.2199628115002672,1.330091822171115,0.9940980186870608,1.1546251242783825,1.569384863652006,1.4707876131848456,1.3579209513446802,1.4878614466135254,1.933549619782756,1.5156294881589558,1.523393700170779,1.8724001599642879,1.8905724476506585,1.6982159441848663,1.7859928069210922,1.5559239131540272,2.194027319711763,1.5659219734072687,1.593950236230089,1.935115841841598,2.0019528175435974,2.564670107809804,2.432549577629472,2.8834565026034475,2.2202509739583647,2.210870459852851,2.050688892992377,2.028220727907865,1.8419953821941755,1.5977959990850967,1.6697940723056204,1.5363925815321837,1.5248807453147093,1.3021121628086874,1.380842215901072,1.1705528897434165,1.126755873275259,1.0631497045267648,1.011871215673827,1.215427616666759,1.415841495419558,1.6763417321156262,1.8832062404448415,2.2326717907510023,2.124932872681593,1.8178655355957705,2.213228826587621,2.394087013901689,1.944712951946655,2.0665983183510357,2.5168064173333167,2.5324271530342872,2.2052166168483116,2.510992675866161,2.802933571457067,2.587906582468049,2.4366607236334046,2.6754379040320817,2.389728123240325,2.4280343763342582,2.2064733814745745,2.22874704033157,2.2387979315552102,1.8411195643705842,1.793554413442016,1.8236182035348196,1.6843884564608718,1.4204431153642127,1.568062352035946,1.5777946924820345,1.3317129750463192,1.2200441366104777,1.308683455414257,1.3493298396951512,1.3200228403838898,1.4506936648794129,1.3619134141365092,1.558445187035433,1.5889936589025364,1.2884719866296326,1.202527188704243,1.0789352968065464,1.3592522812120642,1.3224455076926807,1.4434131674481907,1.6635923271836237,1.0063482425724846,0.8096872222181936,0.8021924949859457,0.6690360194093234,0.8711684841122739,0.7116498207806617,0.7869463488319706,1.5735516868612547,0.6106833533521123,0.7179067572699901,0.7970749743955678,0.6237801509728883,0.6788043500417618,0.7512133774721677,0.7451938594460257,0.848426315240244,1.4499776067796106,2.983464255764662],[1.7805131910039331,1.1974960787429476,0.8598821756294929,0.588187515247711,0.6043347953190251,0.5261672900084852,0.48921185385878413,0.5490383174645375,0.5161721626636234,0.5211170947873569,0.5805241541173027,0.6697338176121036,0.5956627199998373,0.5680898041362118,0.7556393240532248,0.7136947186288443,0.6564182221197389,0.7670946202176999,0.8150342869905849,0.744103405891457,0.8297182305422577,0.9734301593119158,1.014833608856495,1.066766029177248,0.7885506991311886,0.8141310400686427,0.7141740519262293,0.6609961050694297,0.6794408553697396,0.7027550188653242,0.8267705961404744,0.8358137035352532,0.9205564377316772,0.9181050273832605,0.8415969925120133,0.7807326676641393,0.7476392351240903,0.7061453982117671,0.6565803697068823,0.6369578415815836,0.7586932866998447,0.7638511444187372,0.8235810979224366,0.7507101201791506,0.966505407901028,1.4756424151827103,1.2718665872476311,0.8721403525919057,1.17371481397115,1.0135426608674722,0.932009112784921,1.580109755550019,1.0594232710217126,0.9902398430087452,1.8898757061809555,1.1346175302746735,1.4987948174842645,1.1709616541500534,1.7553992044270932,1.2110135539590514,0.8897009046883937,0.8945766341603397,0.9263091283698612,1.067606582944557,0.8486410972457182,0.8261833871815176,0.9683786796854313,0.8810261432187042,0.945293158890806,0.8802515339632236,1.084015776151302,1.5179331781248284,1.0952300334257437,1.2252710965765512,0.8915801065813234,1.2464398836418642,0.8688283006540195,0.9362497128452146,0.8852318514194418,0.8870700231882379,0.8890581068648576,0.8078968406977469,1.2402513496199103,0.7977727033245223,0.7901587149544207,0.7305748624316749,0.7708039288105338,0.8267729239371325,0.8199408182396554,0.9931171308384057,0.9147305815456137,1.0607738714860369,0.9743376419979457,0.9396534113147808,0.874299971657237,0.9550226283010931,0.8335622935467931,0.8502124986086286,0.8221265813575671,0.9568870867799861,0.8350008132123028,0.9694913583806548,0.8156569385700866,0.8431393624305025,0.822700920698411,0.7242109347655449,0.9074963466750787,0.6876431581843861,0.6914998401109692,0.8321427551083392,0.605677436333077,0.5653596614694549,0.526182199786646,0.5499765353007123,0.5691615265320713,0.5786949253220179,0.6044496500822221,0.690541125190452,0.7548795019255231,0.7688601208856943,0.700783165192485,0.6431660967054069,0.5839254756690625,0.5346598447319344,0.5016576468576833,0.49368407053928387,0.5446091124226665,0.5486848709270497,0.5291462126084103,0.5867950664194769,0.5734707132697308,0.6197108240256322,0.563210502694919,0.6766178528838096,0.5744578751916042,0.6011231631359543,0.7119515308445348,0.5942849156141002,0.6594684560022396,0.5488542928227542,0.8539218322423469,0.7335108337662288,0.6065374244800699,0.586930324753105,0.5700436951034914,0.5960325305349501,0.5342684081555307,0.5932430397880252,0.5690916245202452,0.6151067612529483,0.6450165572248635,0.7048251500454644,0.9907644501269601,1.6921148584834484,1.0388540123374286,0.8607307619896161,0.7561608289793366,0.7668709043583527,0.7063690762263644,0.716568903249486,0.5963101896193652,0.6239507743548824,0.510820973005868,0.6092427314974198,0.6442039775039994,0.6269718456826121,0.5971364775292907,0.8574631457548874,0.981373774323041,0.9915239740037968,0.6798363554490747,0.6350379094053983,0.5612326742712874,0.5847020352434804,0.61558477089654,0.738960633640734,0.7196370923557845,1.0479341120565,0.7241856709911221,0.85276458007209,0.736888038466355,0.6454996852973054,0.6377969274732439,0.5940532163461828,0.559357375750627,0.5992048271449187,0.607295060072255,0.7445360894331341,1.2637131177923804,0.7640351165373643,0.9084454751082918,0.6725099937492964,0.8437880794694959,0.7713202529936979,0.6261465091143201,0.7115867303706113,0.8911707863901026,0.6748424632198761,0.6983715147540528,0.6863496819392568,0.9648405319647056,1.114696351985103,0.8096984300943095,0.9122060949350115,1.3134943384270057,1.2617144216736196,1.1367926053709232,1.2506635004821527,1.7094183293035798,1.3276829526879503,1.312316056032256,1.658224948006668,1.7293060911248925,1.5309674309323729,1.599344867815875,1.343512333039472,1.9533382473509524,1.301346418568152,1.3269544812721523,1.6390240441218502,1.6823220450206486,2.2683603247881012,2.0557404159592,2.492650655641511,1.889276889856857,1.899858050469701,1.789539214074049,1.7495243972511916,1.52642608995225,1.2962569147513532,1.3876005167557777,1.2228452038093816,1.2445495412682133,1.0168370944546998,1.1589324552315852,0.9526587614337609,0.8831582657220675,0.8860154243018797,0.7561657691543308,0.9497955804560304,1.1676529922998309,1.4433596972800449,1.6631674894912896,1.9777365883669507,1.9345790426045013,1.618650351037044,1.970310113008765,2.179646934001272,1.803086944244229,1.863043566395337,2.309259025971026,2.3618169683865937,2.0282684221031233,2.2731299177356346,2.576629390416312,2.416302119809315,2.2141334850445618,2.4148456639065934,2.1193868923816863,2.140971358833343,1.9299587464496872,1.917597801522031,1.9342005110790077,1.5703516734871394,1.490211792366113,1.5081600977936207,1.4019681346550024,1.152100477266355,1.2608955469243117,1.321378802162203,1.0784600462217375,0.9632642991639511,1.0416192393998596,1.142017338481701,1.135897249404848,1.301097928548482,1.2177109910915516,1.5016996391959878,1.3848098404472953,1.1486321082719646,0.9827786668843524,0.866385652476754,1.250129150412753,1.245712135822811,1.4157775263192256,1.7499739218449075,0.924976610579565,0.7351900276305703,0.6548168499856314,0.5793935361899453,0.7373126986536943,0.6160965628513272,0.6226059120452732,1.4165465837152218,0.5670170674799536,0.5795611738965126,0.6460015745026519,0.5448819480226256,0.6310871922398562,0.5931195682345748,0.6407809210363544,0.7741917772566402,1.3084367065439944,3.0564657929020638],[1.7772241066925947,1.2550142363717083,0.9619997883326422,0.7230392601968628,0.6046677150559225,0.5290460720016668,0.49257078805748294,0.5761744034847813,0.5356298416118542,0.5705730984137947,0.6524919934503367,0.7549800564482356,0.6798301708559117,0.6564872854162037,0.9041690374660879,0.8447486056379822,0.7714541632604457,0.9025757811743446,0.9401356765862156,0.8723797239927422,0.95448939041954,1.06689396621949,1.1152444327927875,1.1257962682532368,0.8644951307670734,0.9043852861520413,0.8227396658984039,0.7760316362352246,0.8018250252124651,0.8046828209494822,0.9805132321780755,0.9411129264367286,1.0427703222845377,1.0445432073808205,0.9676456666137215,0.9060608236746495,0.8533378871100703,0.8108427113207914,0.7692205760636088,0.7792948178583321,0.8771561135403151,0.8620748241121747,0.8978201698350227,0.895292603625942,0.9565773495357122,1.3635471978739009,1.1455545803665412,1.0036666304687683,1.21799841649431,1.0130902513553668,1.1134025804246452,1.4858018560027408,1.167646289264708,1.0873510659782573,1.983763861864842,1.3454078540064527,1.586278950922019,1.2843657267785358,1.9321787995564383,1.360875345284038,1.0198633814355218,1.031007243630218,1.0332673933107923,1.1599528112468567,0.9872971103752116,0.9517881633448356,1.0994610096372952,1.0390021074813576,1.0791337295297616,1.040678365450369,1.2290491760168578,1.6383414156702563,1.247648684012592,1.3230352527250662,1.0607580615293994,1.26005225652896,1.0169758861721525,1.0786007508613638,1.0293338851361478,1.0248846493830324,1.0150913632592602,0.9190261723823108,1.3474118749909723,0.9291864550824381,0.8798343197545568,0.8413640429648321,0.8658973694356366,0.9540443135365894,0.9475947766806692,1.134590582203579,1.0614684170757642,1.1962093125272215,1.1369389590345451,1.0872264895961459,1.0189451377985899,1.1155916633102785,1.0189457395672255,0.9680800124952561,0.9118673436196867,1.0141639015717034,0.8951154874629488,1.0031961588290015,0.8718683440304287,0.8759978009591548,0.8483259300821451,0.7837068777786644,0.9633182408636338,0.7504581763184834,0.7557818255422802,0.9083296954373203,0.6596498337402837,0.6016584569199058,0.5512001378375471,0.5758490249911739,0.6380036646488808,0.6305008871113715,0.6907745115876756,0.8001119054812234,0.8408284327012708,0.8691710372032023,0.7998417578560383,0.7290530212480649,0.6641755282771199,0.552493817654803,0.4997154726901124,0.4902396005104923,0.5977019649399813,0.5726314989595646,0.5830799991160691,0.643868056485998,0.6164768798165902,0.6508056650478876,0.6167046134003854,0.7164736159029266,0.6444452346741482,0.6606845972069162,0.7452212486370825,0.6802196678322419,0.746601988236673,0.6163887088804967,0.8899685655932722,0.7829684225946292,0.7122923099734948,0.668744476561932,0.6755676182477377,0.7034215293203062,0.6272835128300523,0.6768587154430784,0.6557203403375814,0.6709773409148565,0.6935764695231718,0.7361667984442481,1.0291841382948768,1.7173130930290115,1.0444731511121044,0.8983294688409539,0.802890203863251,0.8013295889788523,0.760544040757814,0.7814034424841848,0.6638256259689405,0.7211804297217941,0.6056771700161808,0.6973164297053116,0.7425258868472381,0.7200027301273603,0.664938753793678,0.8622471218683253,0.9879520131779901,1.0193942362812578,0.7354127466907006,0.71465590094994,0.6488777423986511,0.6813790192252934,0.7078318592633299,0.789175702027256,0.8071079534760859,1.1090813987734818,0.815760781852835,0.9050029900204453,0.7902743235674017,0.710709836608862,0.7082241942487553,0.6718460899971255,0.6473878920503596,0.6985919280665551,0.7276888140183975,0.8286496291107817,1.312071882301412,0.8253954408182428,0.9325002956438928,0.7789322599356843,0.897112750105465,0.8004990585463271,0.7160081771619369,0.7469254561421722,0.9762062393942296,0.7501359535300467,0.760028486747179,0.738886339120131,1.0425129005457752,1.190780490843384,0.8680606158839993,0.9760298250914278,1.3748104532916816,1.297182399128851,1.1768264299054683,1.2835148964901069,1.7177496046101588,1.326478372518655,1.3387378370491454,1.6513253395828236,1.6866270504334138,1.6039372977598658,1.606366773171935,1.3724730900700266,1.9651204996343317,1.340478733187943,1.3558637838014898,1.6723141589659438,1.6674809975667322,2.4448410922049173,2.123702049650988,2.578064891155196,1.9661679017338842,1.9734142920522613,1.8695178857996233,1.865060882879049,1.6257052695801804,1.3865397069871883,1.4833100415880542,1.3311070869153492,1.3400715183192518,1.1032143301979218,1.2314370858216834,0.9822779343382466,0.9181940432524182,0.8738118667677522,0.8314454217381126,1.057077117453826,1.2750331632905716,1.528189045145096,1.7580874949536007,2.047685783062633,2.0159045036247125,1.689874115742035,2.047159410361102,2.249948017646365,1.85347324460142,1.921314827427568,2.362244730303613,2.3961967028765643,2.0342327366141753,2.286915320450035,2.570943414085969,2.365564407750655,2.181554105856387,2.394615026870059,2.1192715887573286,2.1678728268870255,1.9752000846367983,1.9789520509808058,1.966130707004625,1.5980805753323937,1.5505172867499064,1.5509494173639033,1.424071860887228,1.2039507929003186,1.324464960066485,1.3213324298075917,1.1105891177673464,1.0134103866834219,1.079742092846232,1.0945141412186619,1.1259889716974183,1.2001503017581872,1.1779107394841124,1.4658640636184206,1.3815640674962952,1.1812799473832225,1.024383835213926,0.9274372069568466,1.3243551980141315,1.2594202005284585,1.3779813319540963,1.7046483540358768,0.8812742292717375,0.7504797676856617,0.699436887157188,0.5997826510001564,0.7979192172072929,0.6861264526176782,0.7181727741748828,1.4547037412716046,0.6180381616095182,0.6874953885577094,0.7649729581342857,0.5921657637487424,0.587134495846404,0.7635639617469081,0.7797428614890578,0.7985967768660862,1.347008162252283,3.1531803071642925],[1.669369429874279,1.2264939996038537,0.7498159706914409,0.5342616784479295,0.456993505738107,0.34960483228210143,0.3055008312948114,0.4158937052884235,0.3774392387497462,0.4405126876086306,0.5372818990469566,0.633984444642294,0.5617898609573274,0.5609706090166426,0.7840105599088902,0.7362459764903532,0.6743185370921153,0.8040712208409574,0.85580288911901,0.7800906053243913,0.8683987080145419,0.9897104371674683,1.039576441569185,1.0775421481452594,0.8009550538820664,0.8375466880061124,0.7493570401755508,0.6914156782080199,0.7029785407461803,0.7003224403966531,0.8589534251997866,0.8297421774592216,0.9216017896818269,0.9122472784262122,0.8334158285861887,0.7928784233726736,0.7328714822148132,0.714877105474123,0.6722060472967764,0.6497588743738976,0.8112140618459559,0.7932044263303637,0.8412637107823446,0.8013171056453222,0.9533861086051216,1.3976085215830618,1.1629547351738927,0.9215092431345934,1.1639584643258296,0.976477418017595,0.9778628673294649,1.5383816200190656,1.0912813685332414,0.9652310356915148,1.8323334265653957,1.1686141195163167,1.5519375911073627,1.193271742852906,1.7701463246042974,1.2285396059129454,0.9101560582368189,0.9381522044506581,0.9312605243699352,1.0802162957984205,0.8816710144942116,0.8412849075986739,1.001599893278009,0.9316775064207296,0.9928449791251875,0.930268287361932,1.133477332873449,1.554613069855106,1.128808514356583,1.2292569669121465,0.9344554769775617,1.179879123455181,0.887099627893535,0.9542205177125098,0.9013708049589836,0.9026782523978347,0.8868246499443877,0.7880687823611499,1.231981724978538,0.7444729356592729,0.7774614249417947,0.7202342028947045,0.7604927611991594,0.821154278636489,0.8305570547230857,1.017671601617974,0.9280447619806645,1.0759834524846543,0.9921167918810153,0.9432796042704051,0.8867676097386239,0.9683198058569914,0.8859018342670046,0.841862179002221,0.7921971177824171,0.8872515158868101,0.785902590991072,0.872944505754609,0.7486511994869781,0.7175367759461023,0.6900866388795999,0.6083246659087768,0.7749959580680805,0.5506815361678653,0.5532731052517602,0.7056319939636557,0.4650967521168952,0.43092853787648416,0.386309684816061,0.45879182912865535,0.5310685328013307,0.5366692372374966,0.59981574966174,0.7254315641403765,0.7602359263629093,0.809175190247579,0.7241799387964567,0.6553684475007457,0.5898374689955196,0.46796928569735063,0.40092393989245506,0.37024980871164936,0.41052398873332413,0.4216801645918639,0.3982245457748541,0.4945561865014515,0.4307018690616361,0.4615117040456198,0.4695750760064989,0.6211532006661572,0.534862282624012,0.5792879822982177,0.6042805828572118,0.6085359909719171,0.7174719085978537,0.5818436814322068,0.8982199153216165,0.7721314859569842,0.6484851826297717,0.6000356881503662,0.5863428197011337,0.6120371499774279,0.5287562672147483,0.5651952735544236,0.5113451389172555,0.5321767128983939,0.5492963996925282,0.6214957846417668,0.8967792741022065,1.6995452419570638,0.9845188070822317,0.7680195324158985,0.6952078334510284,0.6691235426047469,0.6401304634977838,0.6126901426802597,0.5369319577604135,0.6045758118963123,0.5096320948011274,0.5967345925226581,0.5958452658333125,0.6753484092633917,0.5658228403367548,0.8314025229459928,0.9483781043822808,0.9834204579209752,0.6636824075009824,0.6531583421563596,0.5189515359647838,0.5609275965722005,0.5683796496800987,0.6500167931094999,0.6687900474533826,0.9798564451498897,0.6760658496087292,0.7473363259205172,0.7329556693479432,0.562705134935764,0.5559795887025901,0.5378383132268351,0.5344346494303055,0.6065732297386066,0.6216181538892994,0.7161523524234682,1.2752448465424993,0.7328284824542087,0.9074085552770401,0.65409949532886,0.809180988538716,0.7176847061142477,0.5677357452552104,0.553805681191397,0.8179629863116845,0.5127418499818038,0.5089338352233083,0.49857292414038995,0.7728269172278855,0.944079632178911,0.6341896122903539,0.7485373290996548,1.1402799159933732,1.1081057141027522,1.0365693224401114,1.0900201687477584,1.5068707075937304,1.1844434769054708,1.179281029666663,1.4660293623952887,1.5459073715306093,1.4989598461331144,1.4596639647471872,1.2099966394106798,1.7755642374009128,1.1261408776078146,1.142011223447118,1.4220750468108592,1.4056161461286418,2.1684217546190325,1.7967292689418846,2.2969717657302766,1.6774691427446187,1.675317974660901,1.580714907818045,1.5466563214500642,1.3041897609870756,1.091672361620018,1.2115742608460414,1.026077307084846,1.066789395441217,0.8316665121917036,1.0629346105052773,0.735639577814068,0.7323748570256086,0.7190182328008415,0.5807799120384992,0.8136286866129134,1.0090306428888165,1.2570971361455874,1.496608362076954,1.7649990955279036,1.780532546386264,1.4362195436022513,1.752434739743584,1.9963763767073526,1.626102430190639,1.676106956293802,2.097991728943203,2.159251833778866,1.8208748781438524,2.0291689259735874,2.3048852294313784,2.1585675301720535,1.9558479845637822,2.1228465906056857,1.8582521351822852,1.881287397241249,1.6979743404741252,1.6804847325870482,1.6778509849648358,1.3517243215049566,1.2772693288514894,1.2767962272427424,1.1871258795390771,0.963695764441101,1.0595695577122504,1.122116376873277,0.9384527064750218,0.8191555588497855,0.9016490293873198,0.9883421152927122,1.0005791617476338,1.1479112487494765,1.130008448400466,1.4616696632579076,1.2040626805713053,1.0524929425662053,0.8666845709411325,0.7679500882771735,1.1882432187272414,1.1463257117464918,1.3040182501422428,1.6463854298659064,0.776629358089241,0.6293946646066548,0.47323937743090866,0.41223098907322653,0.6480085655851522,0.4508795494551426,0.4927037796130087,1.4489820618448968,0.4059896548286374,0.4410395165986566,0.5562344571714355,0.3533606219230092,0.4061886801926531,0.5733176867430094,0.5892320251333872,0.5822049445995894,1.1930306521842045,3.20764571441805],[1.577480554997557,1.1384868038525133,0.775694913170126,0.6665596409925053,0.603675179121365,0.4822525762956771,0.5025418817618356,0.5861113865940918,0.5718143664008739,0.6438260507874428,0.758123221691505,0.8355135152832097,0.7879144404067449,0.755260157038422,0.9845867196188072,0.9448421459686209,0.8594605765541068,0.9909614922710057,1.0030504502977151,0.9407816658088268,1.0106584772334801,1.1573891043268207,1.1609357488688816,1.1373617639301443,0.9236379348017203,0.9767304410514603,0.9041131912309849,0.8661065805936276,0.8956376352680587,0.8943688649458658,1.046295764916102,1.0204327082323712,1.1103988561614224,1.103514111589174,1.0306901996186526,0.9904836655447471,0.9359960154680288,0.9161280441059327,0.8629641341081173,0.8323955855249237,0.9729549078715085,0.9613015142382743,1.016023367240817,1.011245866677818,0.9941558126534191,1.3094523881228823,1.100702289119112,1.1559043047929598,1.3127363635577547,1.0919265023460427,1.2458525008523003,1.3913513611454702,1.1781162516006876,1.0881587195199194,1.9852731074687744,1.4042906281895546,1.6081543362230146,1.3558480316094905,1.9818783022174686,1.3688640204036713,1.0463841954062976,1.0937711556550054,1.0920373223435642,1.1347246091093852,1.0445022692459776,1.0118365797548166,1.1271651257525135,1.084312691853492,1.082020312600969,1.0548833672776905,1.2524282376473226,1.606500855652057,1.2511156940916806,1.2754569769252797,1.0897224221741193,1.2774690485177975,1.0604463324987712,1.1145593672630338,1.078106658850616,1.0722561683375194,1.0807428152180445,0.9973425764790049,1.3197768703397028,0.9200354004463543,0.9487689571908193,0.9223464702694794,0.9692852151478297,1.0112180578996102,1.0298083869621968,1.1785795282718585,1.105872320296132,1.2173658640355676,1.1726737941788439,1.1276189310081295,1.0788708443266455,1.1494546238073569,1.0653087957067395,1.0588329204465832,1.0003876239426444,1.033105102092934,0.9906430861867858,1.0039387006239118,0.9370015320981455,0.8835471716620031,0.8515014566744155,0.7571204866512188,0.893684032256869,0.694100516656071,0.6840729734805648,0.777684615264557,0.6024616373996331,0.6032915206813979,0.5699203557558469,0.6237692778514958,0.7025101796017291,0.7035021397371615,0.7458124031525967,0.8399754966522512,0.8785431187765401,0.9479059344998297,0.8611365369419228,0.8045550266882845,0.6975282634507026,0.6426698789371859,0.588523476121268,0.5516746615874434,0.5269805599127033,0.5830382487122368,0.5583945965233806,0.6424591033815547,0.5869556709409549,0.6110423772851625,0.6251172099809867,0.7574823680498952,0.6823224439923457,0.7138290908187269,0.7341954239873875,0.7366136104961303,0.8337978958808849,0.6896984623921956,0.9478687644195591,0.8149238862484981,0.7738609656958619,0.7603887117293232,0.775926835582197,0.8023617740420629,0.716371550296863,0.7497828074086026,0.7039904083031021,0.7122300719701089,0.7179838550299154,0.7720220116184306,0.9935792990934039,1.6933257722641706,1.0375735492164297,0.912868703470274,0.8662329341364972,0.828827194937864,0.8310570468485245,0.7857947436960131,0.6956435967878889,0.787715528623843,0.6857024606516154,0.7826326457124674,0.8048681167229214,0.8165587977135548,0.7291590211168241,0.8706463661799452,0.9971065420985223,1.0236184386978509,0.777182949163346,0.7743494258112811,0.6817212234476151,0.7281404771987303,0.758737375719813,0.827633477602908,0.8623862044900594,1.1411994301071378,0.8576370542142823,0.9363967127489787,0.8601845778746628,0.7227097232585941,0.7307581611960773,0.730802465639414,0.7283449492200064,0.8261933867446024,0.8362943914737355,0.9261122145036567,1.2916384184542835,0.8658006452797762,0.9563659660370055,0.7779818694867485,0.8987586229086706,0.8016010215443821,0.7324887678659979,0.6675315745576902,0.9415906455141535,0.6531267989493081,0.6362034328677962,0.6252959661147975,0.8351833818925057,0.967285762779603,0.7071883869683354,0.8010734945663979,1.1379213604625784,1.084958114391414,1.0550861545726193,1.0813514747708086,1.4278641600088768,1.1306796667093761,1.1523624908312253,1.377375856057073,1.4229046326881507,1.5070199486646698,1.4066766997296858,1.2132365014054727,1.7228461757658955,1.1382871189633055,1.1272615254343927,1.3674904073811942,1.3411085007031116,2.314052451080073,1.7502027688036539,2.259302347074943,1.6635830685766955,1.687197263009915,1.6086088294749332,1.5933982527121788,1.3297975600265535,1.1169858585548964,1.271522733115128,1.0790296720294241,1.1037678650709142,0.9105560725035707,1.1691945316469048,0.7820055679783358,0.8070351418551922,0.828547060039984,0.6832532538725763,0.9197457211171117,1.079158805705116,1.2768901943190143,1.5067214323931135,1.7561977686525454,1.771208166171581,1.4265942671624647,1.723635128940958,1.9694023590072804,1.5868437256776675,1.6245896491678493,2.013136440950426,2.0526195436139303,1.71716869964766,1.9213062249794741,2.1626529360244717,1.9867900292400618,1.817622486584724,1.9861476491710095,1.750865404343423,1.798486626420573,1.6430612003666236,1.642456535351933,1.6177028124494823,1.3052151323195558,1.270606398456777,1.2566625459964165,1.1650250457183153,0.9842547218533898,1.084224207038594,1.101742622132714,0.9728790318402177,0.8817228442596438,0.9680362433425658,1.031319505438658,1.0407032573441735,1.164948879835171,1.1487460697720906,1.5141524650646043,1.2153737941140454,1.155079183336671,0.9508693579219409,0.8962861329856944,1.349073196142012,1.2551586030607473,1.3506224704032974,1.6601557148823478,0.8561165319967557,0.7741589864607495,0.610941766743209,0.5700107586892762,0.7495386029872524,0.6197525678349325,0.6574027752568845,1.4850919675568461,0.5603985073710808,0.6051903024808377,0.7060978578470097,0.4990154209630607,0.49954433350505323,0.7491930138854549,0.7639331775437408,0.7048501242946912,1.2644114104541342,3.3052636587960174],[1.58141688357093,1.2151589809894654,0.7523090963201637,0.7024880760407293,0.5799686218079073,0.5160456465223007,0.46778946147100753,0.5387841171900565,0.48104976638565183,0.5162076378919123,0.5978360405557032,0.6608830103868942,0.6254629289908625,0.6240584365070708,0.8426672125067504,0.7814271009133551,0.7194278199159495,0.8544840070852413,0.894843572620827,0.8210894711479685,0.8976380979983914,1.0416179657268303,1.0625047004015618,1.0543330188097444,0.8235240527243903,0.8684289700162359,0.7841768940975388,0.7455318659684601,0.7554250086457874,0.7423795667899937,0.8877733423861552,0.8424278068752515,0.9187285426609254,0.9162690045919392,0.8529233929988794,0.8288103278686403,0.7718344894545078,0.7657186538915437,0.7238223499765918,0.7141728038350591,0.8828833926637338,0.8344409461755768,0.884710618242204,0.8684478559375218,0.9029442837505791,1.297030151510099,1.0399094076547213,1.0275686313012118,1.2402344913828836,1.0068288553135911,1.1373818857541285,1.4352249406772877,1.1255099269790907,1.0276372717976372,1.8746526307672942,1.251960297289773,1.5758896288189428,1.2081441484417004,1.8225432480496353,1.269258869515074,0.9367398295155518,0.9537687711616175,0.9488007579306433,1.0646208140459357,0.9155816787619834,0.882667996545633,1.0402100866012673,0.9651102245378864,1.0000181439321254,0.9626230145207273,1.1870909805783387,1.5920996818419713,1.1778131746856408,1.2116813764463163,0.9659821580660102,1.1828629999079812,0.9125279743028378,0.9567258409832945,0.9144190243418238,0.9069129243267283,0.9155612745322804,0.8288164824862019,1.2931397869519496,0.8642533196779412,0.8328195575336201,0.76733156019763,0.807718348388554,0.8392638316367695,0.8672474366803125,1.0203832426757042,0.9448960530069719,1.0745004144165788,1.0161793042263139,0.9560062242276939,0.9176820685030256,1.0072893500655156,0.9238641191814281,0.8538138599791016,0.8078811345336074,0.9138862129446231,0.7953216158070512,0.9041087255141348,0.7753979923138559,0.7793682489200153,0.7622847100524721,0.7148263841332635,0.8529870390124288,0.6844221835626769,0.6841836538447941,0.8529039771117729,0.62432923266081,0.5618378676339628,0.5242563271651309,0.5342790144947445,0.5838631022050039,0.611810183015998,0.6694706950861592,0.7860803834194267,0.8466009503214027,0.889940474652993,0.8100148380089691,0.7392555766018667,0.6523338685105957,0.5590073872656747,0.5349019073215256,0.4915346255410759,0.5680005714349234,0.581231429380186,0.5680979800171847,0.6417828539065552,0.5909105236343419,0.6461873324151778,0.6155972122014648,0.7667227604176596,0.6420408576145047,0.6420244171668825,0.6479556606221911,0.6632887597052766,0.7606214099452017,0.6095551033620479,0.859530277932076,0.7424394234755021,0.7031334013721077,0.6515993899870465,0.6381718107789056,0.6626985304287345,0.5982177051456045,0.6220048327409221,0.5977679045503346,0.6053893436443314,0.6465746292649708,0.6821810364950566,0.958824563590372,1.8093501562412593,1.061162271342889,0.8020133004496646,0.7254462433591232,0.7277352492734946,0.687521613535133,0.6755322941606395,0.6336123640139014,0.6747711522865719,0.5938218711485863,0.6811537160112164,0.735033706513214,0.7015459756721245,0.6464723936330806,0.7829106741116327,0.8956355316609556,0.9474658929577919,0.7140463431061203,0.6847162079258723,0.6182857823769909,0.6489242541277948,0.6584236016593261,0.7226905847000631,0.7217925916773631,1.022378339756447,0.7325632103686388,0.8313906091860973,0.7681758933751379,0.6678466780683372,0.6677476033275124,0.6489862486246947,0.6301367265872357,0.6753354326998698,0.7105273382878732,0.8345336444151992,1.2766383532828407,0.7894478095825169,0.9232475098551329,0.7335478795304816,0.8404458240538883,0.7650692649854295,0.6942214281243119,0.6669012579032706,0.8970898975111348,0.6622717388032919,0.6466667945266368,0.665950225651634,0.8352678489606237,0.9975155552159249,0.7651487227373165,0.8156902259018244,1.1289144768382544,1.1196620172023828,1.0673037867496522,1.0732035979048054,1.4074182602812277,1.15940873815217,1.143927005371341,1.3430269544084974,1.420290963638626,1.4948870611245544,1.3738379534002645,1.1910184169544442,1.675006550024938,1.0782457817610813,1.0741316524383584,1.2974144673393013,1.242434844435128,2.2521586515615386,1.6236199807069267,2.091403475905184,1.5602402871569934,1.5727314239966135,1.523156744208748,1.5068795510069535,1.2578187675200119,1.0724656383405318,1.2227831340252155,1.0427370800005213,1.0732511851443676,0.878919652514094,1.166590436923489,0.7275889266263669,0.794021942323037,0.8024027832918018,0.6821054771745527,0.9041433568899784,1.0610884142318147,1.2659496127244054,1.502019031572406,1.704586841720394,1.762439835787664,1.423728498350897,1.6697452883096444,1.9311359095821392,1.602251772394251,1.603107077868153,1.9551493832313014,2.00928890915213,1.6833166767340446,1.8435629123977475,2.0570684987283414,1.913247404390577,1.733468956145764,1.8611833014369887,1.6583907985933657,1.7023694858693725,1.5759355344032033,1.548225108550824,1.5137840558638849,1.2544904656405893,1.2082938954834797,1.1790306907267005,1.1103869885752573,0.959718957329327,1.0262086725917625,1.0655004967771207,0.9515524847614095,0.8734756254132555,0.9453919176412827,0.9802058275101859,0.9900512311774373,1.0960696580000595,1.1529388927180737,1.523880592644032,1.1574070518906592,1.07718752541088,0.9161234003051386,0.8606264725548689,1.236060162286135,1.1565111250070654,1.2671615256426085,1.6188232940015295,0.8452232397585057,0.7786678926762607,0.6323756366822981,0.587317747800226,0.8168579595181945,0.685189488160374,0.7736979517892418,1.542527309753782,0.6652227469223451,0.7241593157457084,0.8422672331688429,0.5991074513429576,0.625102941120195,0.8524162958075664,0.952612230382195,0.8506174734280811,1.332436529564108,3.2697138853210546],[1.5675244942113857,1.1975277939940399,0.7751876417099037,0.7750908248601196,0.6846661218471569,0.621203684578534,0.6059378787092867,0.6201302929055698,0.6481632983513181,0.7745070464820093,0.9107350053146657,0.9179944751744821,0.904711177828406,0.924526302947325,1.1466190576818907,1.0677800709798757,0.991421687365132,1.13309875928043,1.1535535632381477,1.0887761120117503,1.152994598049908,1.282291239799146,1.2565245358257977,1.2424862953241296,1.0745017964885675,1.1200935121456628,1.0484403449666624,1.0161783262067328,1.0202061504246602,0.9897103705777381,1.1755700729887337,1.0992768357106093,1.1712273422766117,1.178111082791887,1.1148954940731055,1.100190779377039,0.998200776867335,1.0202008114808438,0.9678205489793618,0.908246582832322,1.1257938601560695,1.079023045531786,1.143616807835907,1.0993616556123713,1.0812765433726186,1.3009895622985683,1.108887572354609,1.2446468821670325,1.3016342967549686,1.0894663521001504,1.339076569404113,1.3911624034523522,1.2614504778577695,1.1732182325878078,2.0769831394329605,1.5208171843802527,1.6003190518455563,1.3976579528102537,2.057570756332883,1.4435656965348118,1.1825718780981749,1.209888794371177,1.2046481086920426,1.2187704673340523,1.180352124244848,1.1492253034839373,1.2595678251696516,1.2198477411584685,1.208743338395707,1.1996325793456983,1.341385535800571,1.6840875121756345,1.3778583503389636,1.3969577826158865,1.2413433276234072,1.4095299552526976,1.188862990992286,1.211310048146463,1.159271897460229,1.155774857998205,1.1192392143866667,1.0544875035953838,1.3420630252367793,1.0096558283417238,0.9979652067714107,0.9846910328022677,1.058950739473353,1.0443287093896607,1.1375096642844578,1.2446628258325891,1.2153285089654409,1.3512134971177079,1.3030500985749554,1.2504748850013856,1.212432062600551,1.309751887563817,1.2209086159941658,1.126677876593393,1.0387404896848904,1.0123891567100896,0.9731756800634075,0.9517111958625443,0.9360288797064952,0.8786194100475883,0.846580329076944,0.7796938382355395,0.9112876419927898,0.7174940360371319,0.7286297435345943,0.843961106817033,0.6540903912323337,0.6797520479523325,0.6439316370123778,0.7151760437590292,0.8229205743082949,0.8438102944155899,0.9024656127516659,0.9919282224138405,1.0725584692945371,1.1306089493006208,1.0396729736367447,0.9821219582177864,0.881963844911862,0.7998107314831562,0.7387588927647029,0.676775599572277,0.6558745202857904,0.6730599524509888,0.6466290815091154,0.7101564123447286,0.6942585322501011,0.683810756174077,0.7096168040719549,0.804077893121781,0.7730746824366084,0.7925782768238916,0.7685806406094223,0.8615440389934652,1.0023823990424485,0.8344361204399806,1.0783611222604244,0.9798862275477379,0.9392600861731878,0.9004027910740882,0.8908027282912451,0.9061695064697136,0.8516303936378647,0.8431376197842865,0.7611896892587812,0.7583597148492772,0.7055410265295666,0.7214507122496687,0.9782473509890631,1.7312356826110047,1.0025035232606523,0.8606402084177378,0.8636368886053228,0.8215904052029619,0.8723565341246663,0.8280598088962243,0.7729923713296464,0.8585166673344112,0.8182701633634898,0.873603831128578,0.9242470731483342,0.9400658655936837,0.8184320962270305,0.9288186115320993,1.044512062847381,1.0953806545682128,0.8773712498665609,0.9013137900828594,0.8018831750916291,0.8118718287876816,0.8315793738764274,0.8643403432118646,0.9096297687253573,1.1605737109150007,0.9098534985075549,0.9899511486311626,0.9242567187674329,0.782563242898795,0.7946941128278291,0.793627027831908,0.7892306190119224,0.8927417591541024,0.9211315355685435,0.9893224430723843,1.3188410530451715,0.9228387591438276,0.9920453018578743,0.8367560219794805,0.9432968813373465,0.8451208758907303,0.8517313994266335,0.755272116088728,0.9703871407936645,0.7330224735917348,0.7179791762712158,0.7025296001103756,0.8593221415290714,0.989140611417064,0.7702878630659457,0.8498305748381201,1.1259673173067961,1.0944647732843507,1.1156966035368836,1.0941653614416071,1.3768468903846105,1.1467349148528705,1.1618708989476798,1.3183110867094228,1.3655030784653186,1.5334275822405508,1.382543411027179,1.225872786237076,1.6370160270146643,1.1373713367109985,1.1171411568897818,1.3111010007548403,1.2474433238661284,2.3665188353127307,1.6535381505052775,2.155721525985491,1.5981907685429961,1.6188564307723832,1.5504555643761362,1.5626770323564632,1.2912595813093812,1.0998467770199976,1.274575089361079,1.0970846187265295,1.0939261400606095,0.9370875789081836,1.2378624327521361,0.7934372169907151,0.8566017359924153,0.8485763021073522,0.7609705251264753,0.931868279258732,1.0952890921956322,1.2761192000458605,1.5111841674505055,1.7126389926320347,1.7500321570075439,1.4191262753381675,1.6581571214785398,1.9146680729331316,1.5661900122911465,1.5704868218252261,1.9104332132313477,1.946640573527877,1.620643881887776,1.7994137769557317,2.007110905317252,1.8429841960995001,1.6876774120577926,1.823934945207731,1.6289493289895356,1.6839234583727691,1.562893103888045,1.5597876409214215,1.5153050302848128,1.2507476064251433,1.22530340901664,1.203792932074527,1.1388709227785982,1.0084034114349911,1.0773321681637122,1.1080826330724316,1.021258102146916,0.9552568625961503,1.0133162820347499,1.0538420915211584,1.1011977005080618,1.2012734886024492,1.2035132433428077,1.5748180172226491,1.1893209666014204,1.1923346578836946,1.0268452842682112,0.9916140696362,1.387030436604485,1.2738896337412775,1.3446348262920003,1.616144676257914,0.8859558458442471,0.8527129816162483,0.7040053806649106,0.6341715521234508,0.8463276028686272,0.7128315833933636,0.785393232286895,1.4989278951163039,0.6777201874650585,0.7622002957001396,0.8800463286767098,0.6176740826303847,0.6675039467290375,0.8942709845070327,0.955627864744786,0.8493900813176644,1.2885810731751306,3.2556391280677746],[1.7065721451742537,1.2736939941174825,0.9457783099302739,0.9429877428618235,0.9147385390080627,0.8592173604913166,0.864785596092366,0.8774715927270793,0.9067552702734826,1.0327026923037652,1.170594862869718,1.1501650666402023,1.193942218786466,1.239285343264685,1.498211395847356,1.429140898118488,1.3628503065298558,1.5199794053163718,1.529609506555496,1.5054531564250335,1.55849116819812,1.6516498013022882,1.6321936077380221,1.5859939708261506,1.4652024553318963,1.4955592295453377,1.416329661477522,1.3905838311066967,1.3944324699830883,1.3723791049371674,1.595479851417139,1.4807429280362356,1.5586089526143858,1.5835978949630283,1.5219958907866473,1.5142048842856388,1.3840659168469238,1.3937299275545483,1.3527656136507022,1.309366321599798,1.508628019366122,1.460160115846402,1.5304717228901807,1.4660142948798998,1.4541225981510466,1.58364869403274,1.4122834195964835,1.621860728658982,1.6451089176493674,1.4643124539894659,1.72222947024092,1.6145506945923012,1.5721020621402773,1.4997547320085813,2.1562000802188344,1.8160596051458373,1.9375403081438523,1.7267627165099313,2.320078768355148,1.8534175302768277,1.639915873509563,1.665581334608376,1.6547868857188373,1.6718872235013693,1.6330339221739938,1.595020965585068,1.6810844696660459,1.6442935004943997,1.6360486863888808,1.6201887200222826,1.6943843824816864,2.048509421897798,1.8068204448027874,1.8261996621610295,1.6852295836669047,1.8171249886267027,1.631641033821127,1.6445769949715843,1.5960448460316548,1.5476576504460302,1.503662783092528,1.4114663096460074,1.615374952205523,1.4017868887178364,1.3284996763154877,1.3371041708433706,1.427570458049908,1.421334776095614,1.5484650352722764,1.647581471006882,1.6367753350743837,1.7809861288178988,1.7341784073978104,1.6820223692579424,1.6316990548290462,1.7350212348856657,1.6156648889744258,1.5104269895771076,1.375344413536195,1.2593085675361106,1.3014738880981627,1.1848499435641382,1.2542532894171912,1.1199871370338044,1.1317816427145766,1.0199218145563125,1.1171461208215248,0.9881806971541529,0.9885444194231168,1.0622143272294537,0.9166877762970004,0.9494225860536447,0.9346689035872999,1.0098577601142715,1.1122949446931611,1.1436320035222882,1.26549056039832,1.3098346287635667,1.4452438209598146,1.5027030139844244,1.4014652627562418,1.3258099299599206,1.185143734421809,1.0779363581262962,1.006094681015886,0.9467209690967123,0.8937025646757163,0.9407448316574828,0.9075217530612175,0.9686247453787954,0.9530385356360016,0.9280180232286174,0.9822168464984917,1.0660792599236815,1.0544182071795833,1.0690675195668453,1.0017980991585642,1.090375958659447,1.1915927301374354,1.1091377876292297,1.3126813302829112,1.29108564974374,1.2762312225322197,1.2155167712935362,1.2473574942145358,1.2677429619359502,1.1964141018223882,1.1723481401459925,1.084294799465397,1.0408609055721405,0.9709591580759181,0.9794253618508574,1.1919646027192103,1.818222056911674,1.143131937440274,1.1147254100357111,1.1361602440621863,1.0818525739171563,1.1868980096390327,1.0886715396114206,1.0926047843779558,1.2142336738907422,1.157452255678382,1.2236530749729155,1.2630210319120387,1.1935774403694592,1.1252820987988035,1.1578011469315315,1.2285563826300767,1.2764697563227434,1.127343246653049,1.159701526598544,1.123687941665016,1.1476644427005631,1.1635955483959146,1.1732308239383509,1.2352524267288172,1.389942682996638,1.2467045970904234,1.2854932195889763,1.2093422294838159,1.0801793591059923,1.084119844513313,1.0867260407416888,1.0949895796278233,1.207548298911319,1.268268098864991,1.3245966809125096,1.5399685442197268,1.2454664946487979,1.2648788897032037,1.1627410072993254,1.207602775165126,1.1266042601528357,1.1275555311571508,1.0245170836431923,1.1708664373270103,0.9721263098809785,0.9378178662180026,0.9230688699073003,1.0384700673383405,1.1407855130804672,0.9587461827014009,1.0143735835363228,1.236001785366338,1.1980447417709537,1.2508848693157566,1.2138763229529714,1.4344608829259142,1.261498654971085,1.2974518657556209,1.4114403687466384,1.4454601285005668,1.6633260806138443,1.5175953431558113,1.378467319595589,1.6922525649956595,1.3012658615078985,1.2671329638403321,1.427444740201121,1.3793020097577018,2.5517692272721653,1.7629204027094099,2.2729845306010397,1.6986784010815887,1.7636675192734443,1.6853767356501417,1.7334856292468528,1.4529531078746571,1.264600495606636,1.4194141595872838,1.2811047574871797,1.2770997078231985,1.126605101520631,1.417113269951734,0.9633043371604245,1.0051627116062567,1.0088717302097816,0.9570664103914862,1.1402323841694268,1.264096073642227,1.3879475472971416,1.618431338521481,1.866491998064756,1.8661614137208296,1.5076803939648826,1.7497742587248286,2.0148358213450237,1.6289298186247154,1.6233317648273768,1.9440008111452625,1.949981520376577,1.6384683095163453,1.827297072839938,2.0232405308387467,1.8466109041325247,1.7386685692343804,1.8872508058038917,1.6849814239208012,1.7527156259263024,1.6420642140486457,1.6634549929920948,1.6172023707359418,1.3594104636708817,1.3500168358398017,1.3333040463771382,1.2780580260871637,1.1604618705451992,1.2315193987069128,1.2355463560985775,1.1708612429936796,1.1060914690217272,1.1657528811802755,1.196510433143983,1.2376886033964527,1.3141930282431311,1.3148204694174104,1.67956772660255,1.3288542802051502,1.3529249930492366,1.2011402514641325,1.2100236700644058,1.5593209189223605,1.41012420061209,1.4515975404687007,1.6947902154041468,1.0728861404426393,1.0516492939469282,0.9283009181789681,0.8817755790653544,1.0494488585510304,0.9706803701439516,1.0419347075034064,1.539352800970907,0.9103129494366472,1.0233091083263977,1.1320201905754308,0.8664298186112448,0.9145122908908018,1.1463095654401336,1.1866672397410383,1.0868541284875177,1.4429811633119325,3.267650196101523],[1.5322331960557094,1.1410931404053906,0.7295340639480342,0.6821186941655486,0.59648096802628,0.5359211148588271,0.5193694636904947,0.5799107535935386,0.5430087091275777,0.612729827393975,0.6853360404019636,0.7195442559829462,0.7294757887361794,0.7439313311326623,0.9577804163418462,0.9140495140681126,0.8542011821141144,0.9934477220763007,1.024127724454816,0.980922144617661,1.0531667264436066,1.1548625767449776,1.1926464536588877,1.1778629735023871,0.9616862709284301,0.9912705727509872,0.9175604587666463,0.8812668860884068,0.8920131887983992,0.8927684125330587,1.0429487956429047,0.9853569317889062,1.067014585349128,1.0822803360665971,1.0145348517581592,0.9867302940430985,0.9158050408599266,0.90997868665658,0.8708818865587199,0.8702817461761924,1.0166351440560197,0.9787093999535457,1.046898221318315,1.012580686332445,1.007019805863672,1.2946893113512574,1.0588758312215136,1.1858666325222649,1.2971634805181722,1.0905940414689796,1.3393934431176857,1.450999613100437,1.2889302486562906,1.1748912429230576,1.968965637067464,1.4435250363942784,1.6941111012418506,1.3474710658180327,1.9325620657408262,1.399208248658905,1.1134888790433948,1.132150249757247,1.1274216096971925,1.2094456949897048,1.0870162015354792,1.05437331500331,1.1758710322603516,1.1230284673710091,1.1484687144646772,1.1186398393078891,1.2956226571028648,1.7215234174940746,1.326169339836401,1.3736885580822935,1.1375153285819377,1.3302248796713156,1.0894027638162105,1.140338229446432,1.0918056482588794,1.0650557839102797,1.070389388149693,0.9991070659994846,1.4308448039738761,1.049243953803014,0.948021931801981,0.9096488332121705,0.962347533913723,0.9929417415145483,1.0350890484027169,1.1775857952673836,1.1096920742214007,1.2444393289222806,1.1842440192070114,1.1280241704965894,1.0719575531150718,1.1539058176690449,1.0675063219215055,1.0143278051888456,0.9415171394871288,1.0264237399102853,0.9401546763026075,0.9882582260168796,0.9060574347196122,0.8720456669435346,0.8614470704521536,0.788354010036143,0.9204948619325015,0.7550137653311777,0.7459100236585243,0.8840194462320147,0.6685743965440019,0.6410950287397902,0.6057582655929974,0.631793824593771,0.6889807031927101,0.718110593217674,0.7908686385350596,0.874217957195048,0.9727299372578762,1.0254567180008367,0.9213242516269446,0.8500240391303756,0.7560131954788893,0.6681584652379235,0.6295041331906099,0.5764418116833229,0.6175018407971149,0.6514936239210924,0.6266906559993997,0.7082858582114684,0.6542235720672721,0.6921583697090556,0.6983285129129092,0.8384356662741353,0.7385774896302685,0.7291994948292069,0.7095135396113031,0.7486989048837672,0.8568836273396926,0.7236043241501758,0.931115686717653,0.852712737587079,0.8230334446661703,0.7707475171094714,0.7718392272131386,0.8009310191455972,0.7371223929813343,0.7360931699548863,0.7015708501837407,0.683157914129549,0.7050726048838382,0.7278789280237317,1.0485213331273477,1.797419540990976,1.059434912035159,0.8946433531843142,0.8051823263331287,0.802538052137305,0.7992882700536724,0.7600505772528454,0.7505586085174585,0.7985676690652802,0.7402463277841469,0.8124809956616165,0.8605755774617855,0.8066887134413026,0.762589669904563,0.8414407266748474,0.9491260150276393,1.0071541010387632,0.8061048100402508,0.7898439712960517,0.7424414323234098,0.7701949272796225,0.7832065539511094,0.8375061929529671,0.842700607471885,1.1226635211074827,0.8570714719088123,0.9525188860005114,0.8572284473230944,0.7741634193568406,0.7746403631837617,0.7558197171062698,0.7368395332010922,0.7971126013430545,0.8421318758127619,0.9568651860169766,1.291820987270323,0.8673994418545657,0.9877699860702372,0.8365298863018295,0.9342853819690937,0.8594957499701811,0.7899830767417215,0.7260191391093381,0.9670935597835686,0.7213519846235786,0.6855810866070337,0.6991551873844694,0.8611109337993761,1.0092549510479731,0.7709700361098293,0.8182213341658041,1.123571362956412,1.0908838822414608,1.0602766165444026,1.054153230770025,1.3707894719956646,1.1145892367338452,1.116429324477787,1.301649251448902,1.3524530099443852,1.4851751148042123,1.348560049285095,1.1713130566508838,1.6370107413769006,1.0810637586791372,1.0709751964431482,1.2914271529393098,1.2397156449913456,2.364769290150874,1.6546221545057702,2.1437009245461707,1.6076255454796375,1.6500573848985123,1.581471229701972,1.5835300233173673,1.3184980872361052,1.10867349857791,1.2725654069153105,1.1004650191176522,1.0973402864609119,0.920397482897901,1.2251168843190678,0.7340978235669585,0.7965651522715822,0.8102810811408855,0.712154282999201,0.9633773105973388,1.1284670721439756,1.295037298819366,1.545820382590574,1.7585227127640302,1.8011547905325784,1.445690603801536,1.6979941463368824,1.961621011624304,1.5947497293529518,1.5917494060067463,1.93863321049507,1.9643644270394363,1.6338306760785024,1.820426544519601,2.0309551863066075,1.849455824706608,1.6973472356173518,1.8515885837296338,1.640073757390823,1.7059750761202774,1.5849353957422607,1.5830398104775725,1.5288107700558677,1.2436408088192674,1.2238438483351803,1.1940201400984143,1.1145306581946544,0.9682967829810804,1.0516846337939623,1.0599137329631987,0.9502707916591651,0.879103212245395,0.9545287822717763,0.9715351599847297,0.9957275661258399,1.1007640648915906,1.1249325474776704,1.506645631704317,1.1478953855333671,1.0901568899155294,0.9181347837540926,0.8713224873828914,1.2689048893002441,1.163232818179994,1.2549191022259127,1.5783321340260363,0.8291761089395767,0.7873420908625769,0.6626287915637735,0.6127052008875526,0.8249768364912592,0.7039832201680474,0.7752369455121386,1.4862626098164058,0.650376993231505,0.7093339742762815,0.8398269159775674,0.5857765522217925,0.595599223979207,0.8265911908630836,0.8923899996075201,0.8267879577134913,1.307645446479193,3.266821034498342],[1.5638741101693974,1.1878333533598644,0.856289826353399,0.708441316135508,0.661307130366006,0.6188193751579127,0.6217525808546507,0.74881518157661,0.6629076602777844,0.7063043992703855,0.7802562545460536,0.8926477736079983,0.8563537302872625,0.7878082811288234,1.019280761861545,1.0088206748067219,0.9203023304167066,1.0421787000565366,1.0343952138672379,1.0205206543008505,1.0757307153727256,1.199950964487481,1.2171072037212942,1.2001122137127784,0.979761553264656,1.0006903557128695,0.9557369597715089,0.924731845662562,0.9650534657926186,1.0161013157590733,1.1429196010621794,1.1478614832626401,1.278817903279106,1.2682189084889186,1.1852263121887603,1.1124447856144382,1.0818554261284168,1.0238951085564874,0.975878219326927,0.9852606303419967,1.0776423067579448,1.0277126452406302,1.1214569858263972,1.0896537302497948,1.0725540065157297,1.361281398724928,1.1398035060836869,1.265684213749031,1.3823067954692194,1.1845411800655392,1.4045572407323872,1.5089101930252566,1.3291747485487762,1.257365509399118,2.034119370835817,1.5462905250121315,1.7155094465094427,1.4411426940309748,2.057311833149289,1.5064823634507976,1.2007842205471455,1.2418385565044208,1.2500261352615307,1.2986715301375988,1.1595955837236125,1.141994256944232,1.204637913601995,1.1696221676799696,1.156359266331321,1.1231895277988728,1.2792607356851704,1.7165371902337356,1.338836351228424,1.4171211525121838,1.1979400538520835,1.4404619717574063,1.2043922609085371,1.2941501353509866,1.2441541289287712,1.2143328322292681,1.2493706445932702,1.1667393444264438,1.523952409163945,1.157403755983058,1.0715265107216552,1.0671850128261862,1.0951445193773173,1.1808555938954108,1.1615906025641423,1.3369075257559784,1.2429357913169357,1.3771786760781084,1.318414862153772,1.282807891769591,1.1953443919841078,1.2606183371303135,1.142403983394378,1.1812290572588182,1.1239451850792845,1.1951282377222008,1.163264125274895,1.1869662045220692,1.124606310201304,1.0817088588655297,1.0692616605358232,0.9680948277923159,1.0988824584585106,0.9187462363690001,0.8861772407173097,0.9792598468736807,0.8088986560400416,0.789442589384116,0.7335715730926052,0.7212425222201662,0.7767475058670531,0.7575130478693358,0.8104321605951141,0.8725576991377119,0.9452561810325606,1.0342677465940189,0.8908356103507451,0.8340079663607219,0.7194637439906042,0.6774951581164345,0.6612683944020218,0.6407526217736516,0.6815661794703363,0.7489485142911345,0.7509274293962317,0.86262640315406,0.7728981648849201,0.8393990959631022,0.8218657057288753,0.9961244682346541,0.8505196447680421,0.8392881883346273,0.8183902866540427,0.8047359370659625,0.8853752725106058,0.7715928835066395,0.9846912974795016,0.886375109903513,0.8369733114868287,0.8199772376619865,0.8521066524178845,0.9009159134196661,0.8198187313469266,0.8692972799244646,0.857544657326899,0.8436725417530668,0.9074409883638516,0.9435516256330211,1.2124808893659262,1.8010378729740673,1.1630366929990976,1.095167535649068,1.0161653283368386,1.0168637630258164,0.9908645078140759,0.9334604136027759,0.8682349983999903,0.9367237054491929,0.8271640437338715,0.9285353522453248,0.9183054607722352,0.8839989390535566,0.8331062313295972,0.9307588433622899,1.0390892148781792,1.0695187666559878,0.8708043053176198,0.856515922636892,0.8426225393357912,0.9094944875335833,0.9407699116072713,1.0167415844012508,1.034217962038967,1.3200558750446207,1.0468043978743464,1.1308980916560063,1.03095093051847,0.9456539398317308,0.9375044086433735,0.9204766975089382,0.8875251921305067,0.9494036199964775,0.9586494953627878,1.041161136442523,1.3425974310213873,0.9686926227465149,1.0829935992190185,0.9297751244340148,1.0086673530409833,0.9381518911144481,0.9068252532249899,0.8267619339790216,1.0291968312452677,0.8449764462137027,0.8241249594733595,0.8378323128515053,1.0230611572414667,1.1492768128243072,0.9197668263916109,0.9833525157000861,1.283570716890978,1.2208130159833213,1.181376248177287,1.2037303157566408,1.52527151573584,1.2394080294998229,1.2660842714541005,1.456855791214798,1.4755298040912135,1.6199666876545202,1.5101742859474776,1.3072457965120508,1.7897508596898348,1.2617271063050848,1.2460949025769226,1.4802547822913168,1.4740649639742898,2.418278315505752,1.842433164052502,2.377946229223476,1.7900028943780983,1.8323728864753706,1.7402075850092629,1.7336636061672697,1.475924202836384,1.2736550083553413,1.422070381650137,1.2622212443954977,1.2780095669932114,1.09673466790554,1.283038441584494,0.9220412265694425,0.9466629427124853,0.9423430512744576,0.8744928427146377,1.1155104287477238,1.2641183150919848,1.4436475097850139,1.6794772184122688,1.923556440277671,1.9307811425757593,1.5823669057786651,1.8693143728052337,2.1093820875006077,1.729727104523631,1.743628845607664,2.1172967630145525,2.1302467406462053,1.7910139934902134,2.0088706861656607,2.2344755257861397,2.009084209948008,1.8630490115181344,2.047770888552232,1.8331452806250943,1.8988097953765897,1.76063890845216,1.7730160500988743,1.7264868170136312,1.4243974812216,1.428308449370034,1.3999855715545064,1.3063116617008126,1.1435125834616366,1.240860211497263,1.242691416746513,1.106479633429431,1.048982511772562,1.1248819568652444,1.183417488218104,1.167587974407171,1.284603741333417,1.2465428646885839,1.5888120237918215,1.3196567627188724,1.2575520591168599,1.0679362861704915,1.0305807078293807,1.4352588531625103,1.3340857439092713,1.417007583805662,1.6902516213596044,0.9675601873596796,0.9031111934591504,0.7886175540858218,0.7375935501788609,0.9312091713404826,0.850775845882226,0.9202819175396812,1.6004030393425386,0.7766094713962474,0.7967641716916084,0.9063879512356421,0.7076620212665715,0.6542243767251158,0.9085920996047959,0.9273393536793351,0.8927374220287502,1.4126339154043577,3.373023305386258],[1.7019303846035574,1.286570653455421,0.7566358240048167,0.6859873926391835,0.556787313513204,0.47564045638487784,0.4249204155070306,0.4746333266533086,0.4491449670026358,0.47725116400761863,0.5220342124658612,0.5811252011579541,0.5615039929702985,0.5615292584740402,0.7426298948862126,0.7074627231395141,0.6540050741535977,0.7749903181527688,0.8311825304320494,0.758408005803334,0.8455419882252755,0.9523473026413299,1.0041519972160329,1.0436298330874159,0.7959842156727934,0.814406423009117,0.7281323946189222,0.6833061273578569,0.6865855418285682,0.6751708605622228,0.8139088277751723,0.7800519487957911,0.8687714805600701,0.8821918249271642,0.7929987495311221,0.7659749456918231,0.7253118734015056,0.7093750323141322,0.679766553539232,0.6871479937063621,0.832674242573916,0.7845300631698258,0.8482589858491961,0.7947980121704925,0.9611008235992984,1.4225833670792283,1.157813381922133,0.9260368200995046,1.1572327565911813,0.9747910023111943,1.0545098006566866,1.5818772317324987,1.2037511333526212,1.0627685417244614,1.8305843886180042,1.1869658691601406,1.6087416488808037,1.1505511593101856,1.715750262292971,1.2089487301481325,0.9071775107608879,0.9303446889174471,0.9399811837220133,1.1308372421957738,0.8873041629664762,0.854069085012687,0.9581164902983317,0.8970183927627211,0.9998830366201179,0.9167231845205067,1.1405420123645624,1.62560602534049,1.1585293624029982,1.2707762334049513,0.9260567200378705,1.2625485036805533,0.8845606002480342,0.947888650278148,0.8799161947992564,0.8792283148232545,0.8769320954921638,0.7703630479478719,1.2897785137652598,0.8333879157026762,0.8005162175443611,0.7130263325436453,0.7482792437574629,0.7981948053497606,0.8169895309626846,0.9724511396836573,0.9078853026643212,1.0654317662413588,0.9725185735637135,0.9201746793394839,0.8490847113450104,0.9247491459623663,0.8343747259063975,0.8006708627725257,0.7488009660157421,0.8919784646967223,0.7592887238724595,0.8422253075736802,0.7195837123585841,0.7153373438625977,0.6962575727020559,0.6356607483307408,0.7820813296995702,0.6006188378012146,0.5987556607033249,0.7587822972572756,0.5282020638645089,0.4922702956544704,0.4685460702717312,0.5101645620331346,0.5303426392188803,0.5632290126552305,0.6160836427004867,0.7699980191963172,0.8089522467261423,0.8308482482753199,0.7445829115737899,0.6798366574659068,0.6499161751770691,0.5281305393937333,0.49123349219971685,0.47382111524865456,0.5274965627464983,0.5268657163129464,0.48399336521881686,0.5569075623705912,0.5279095084227073,0.542542523840146,0.5573676057850194,0.680745607570873,0.6126714697070629,0.6382625861304679,0.6306478113002287,0.6572196264092998,0.7829848873626711,0.6545826286872194,0.890213416574553,0.809382306433777,0.6936552015248562,0.6095888855267925,0.5963595530774328,0.6147782387642463,0.5498557244959564,0.5563319690236229,0.524889497235768,0.534159291871693,0.5525233159449576,0.585733508944281,0.9069632815988434,1.7684719527558102,1.0035797302876048,0.7562858837790082,0.6449138404378485,0.6541257543583862,0.6172341002123068,0.6068644667922607,0.5861767300895253,0.6139587278791626,0.5808535189645997,0.6298239075021724,0.685619210258379,0.7441597679222239,0.6446485104911093,0.8511417133245961,0.9524253558990126,1.0072782000494598,0.7280650843609457,0.7064649457240797,0.5892382249645229,0.5866779873584039,0.5804160888516692,0.6542637332045053,0.6520715976780006,0.9683611949356734,0.6619007261366545,0.7697562499158933,0.7014292650527549,0.5868095241142833,0.5918274473413812,0.5699726677621166,0.5619524169372271,0.6170167450525071,0.6563288171127453,0.8085984403710065,1.3018006359269818,0.7963379353943388,0.9328461378302022,0.7189246388163137,0.8528750600674401,0.7787425773784251,0.6350589302600045,0.6489753144829669,0.8934494788088694,0.5989101161094039,0.5905569389739496,0.5735582991642807,0.8015512553864971,0.9620262981389128,0.6930509387229313,0.7919164864589983,1.1419103514664033,1.1229517609015065,1.0760640120593687,1.1017326287457385,1.4735246499867198,1.197171588100421,1.1962461992602005,1.4407506037624367,1.5128890530926322,1.5328533005203007,1.4604490953323281,1.2322074424815717,1.7550908459560024,1.123396157954904,1.1381974726514041,1.399711939913504,1.3569480487828944,2.2185104356402863,1.753469214378254,2.2378080426108866,1.6398076502050087,1.6331574592227516,1.5451122801190083,1.5312772399437569,1.2754358755836268,1.0785241172770696,1.2375199552073453,1.0345931818239826,1.0597834825594004,0.8590623013214939,1.1354380848544312,0.7542080250304974,0.7621881665031887,0.7533739098240522,0.6398782373917185,0.8532297922046828,1.0250424760445338,1.245817869896254,1.4838128453251653,1.722709806859218,1.7499258258384225,1.40999222388842,1.7012112045309717,1.9491108278629143,1.591415142622931,1.639297760563682,2.0242897702352,2.07772909266261,1.758252052504966,1.9528747959097434,2.2033899836925017,2.0551726080638697,1.8751148053190374,2.0294314731053196,1.7862281070657429,1.8135009910308488,1.6486776722143797,1.6317672611860239,1.624946119510361,1.321241735076381,1.2503637332927164,1.2474465949773201,1.1686332605862935,0.9716780913622501,1.051272807502464,1.1057663609368908,0.9520246314316358,0.8416347043966487,0.9142744167114502,0.984979142047913,1.0116555597272872,1.1178931219875752,1.1418529488659306,1.4719064063561182,1.1959427247922223,1.0432572206461108,0.8951447868463097,0.797340323132274,1.1528683630312775,1.1135018523416957,1.2581754274422452,1.6300026681836066,0.8005564645160059,0.6876220881373767,0.5719618145373773,0.5147433889484673,0.7422023950827554,0.5341938521009647,0.5926970157302096,1.4820452798626704,0.5028278979085709,0.5576165906942337,0.6837974059237243,0.4606218420036406,0.4756841779200956,0.6806071329197574,0.7361762474179822,0.6905820968726879,1.2129873243142058,3.27111466724129],[1.7814484449166528,1.3894411469028072,0.9696005746507258,0.6376512379665357,0.6166842117185347,0.7127954181650695,0.6857846055276523,0.7957737203912861,0.751145499106926,0.7638094166332721,0.83490628011507,0.9460927898228313,0.9077281446046336,0.8424126477147214,1.0534023037670657,1.0554714124108795,0.9676718058787037,1.0830220524681227,1.1077282837821452,1.1045104368134537,1.1581821729437956,1.2233518403257957,1.2780749145087842,1.2960683622699605,1.101567118370442,1.0802061586077314,1.0219476107071452,0.9810204258164806,1.0236610688694292,1.0170720368135546,1.1660738272689233,1.166552207835359,1.2765971749387681,1.2755870123506685,1.1799433567849698,1.1322345919531802,1.0957628851289913,1.0419539390340682,1.0080958278105363,1.041386031206682,1.1480978137989215,1.0928463038984493,1.1482456004301487,1.1113883277540884,1.2666461410446632,1.6738132391911582,1.4437932133782347,1.173958026498385,1.384251535293755,1.1821053444450127,1.3041511720180443,1.8927654116045562,1.5229041954812046,1.3979034539059525,2.013823451675594,1.490473031196096,1.7565553058152548,1.4069692226082076,1.9313643526561253,1.4860046893777878,1.268906759062137,1.2999148854617633,1.3354141974713072,1.5180357737055827,1.2236582668546458,1.2048643261238565,1.291650336829908,1.2013282655680835,1.281004607413795,1.197617708072614,1.3513697717572728,1.8124654955628656,1.4025539754709502,1.5419482967551037,1.261278740443529,1.6333200924048545,1.2487878194725623,1.3266900901951344,1.2656482276126193,1.2598689428196717,1.2375312898690083,1.1704618623920229,1.6519143195770518,1.3019959652418536,1.0778789685234664,1.0789237190489471,1.1055707268073964,1.1766781917459892,1.1762985465903635,1.2971636558461506,1.2744193551477485,1.405047268589324,1.337536891924054,1.3046685872376074,1.2262770959898954,1.2975246757745937,1.2049649441887622,1.1899402826306977,1.1341028017460912,1.3203025060606808,1.1762758429752052,1.243998365882967,1.1528783203562514,1.1361520786667523,1.1207472798926514,1.0199480427871634,1.1680054152950108,0.990229388314221,0.9222312810241443,1.0905471527302002,0.8691873181254817,0.8472901856505456,0.7832788437501327,0.7777860682922473,0.8223617249375709,0.7997992808128153,0.8984743658094952,0.943651500348626,1.0809806702623856,1.074278816085302,0.9753473781585973,0.9036184725224524,0.7960731616110784,0.6974809164030624,0.6787104842439436,0.6818112624493622,0.8379350565276383,0.8026562619053434,0.7803241654659736,0.9384682746775863,0.8435977804040239,0.9063585533227526,0.9174738441300494,1.0551431558247384,0.9365373822420877,0.930213542196241,0.8982784315268609,0.8291193105525735,0.8680524428367973,0.8501467886711486,0.9816887648500483,0.9594522751370963,0.9356889146651186,0.8646930105418054,0.8979270029246448,0.9373981575054694,0.8707061643058572,0.9143539119743532,0.8805370153140838,0.8664282682846958,0.9047473111628707,0.9440083757550223,1.2327603377472327,2.0316070887246878,1.3074407224171458,1.1405376592189032,1.0627163641152628,1.071322802474262,1.0355572377881228,0.9705111628982214,0.9272982552626852,0.9791884515190636,0.8843343221797163,0.9387407975558127,0.9967012933573411,0.9034045352759195,0.9215315665025657,1.0213492480503423,1.0994166206639913,1.138697285979324,0.9452735712933433,0.9320580853399859,0.9285063320610594,0.9611842044358878,0.9756218042708193,1.052249379642835,1.0466717639922083,1.2439305389464834,1.0697470393057544,1.119109119894988,1.0681503798685288,0.9854222058716409,0.9657892159893497,0.9223461109995356,0.9147258458103863,0.9386613106736671,0.9752957268704876,1.0417570606382982,1.4150943565968526,1.0624364427341855,1.186149343702031,1.0332166753316012,1.164488195504251,1.0881206803714503,0.9564017195403188,0.921449498123628,1.1156703158193106,0.908257646172917,0.872152305393995,0.9201761158417586,1.14755517346326,1.3301556195691941,1.036447562667065,1.0640772018732072,1.4517576016328428,1.4150185417312262,1.231248717299219,1.3288924722484141,1.7606898665705888,1.408547425245955,1.3692187657749997,1.659426075938684,1.7244546899480933,1.663790063516876,1.6199033929535103,1.374628573392367,1.9523357323359092,1.2912604302768906,1.3302717521870555,1.6367935411239867,1.6523908717248967,2.3643384940522467,2.0118438867230015,2.491170479612289,1.9584005033465892,2.0085653591207646,1.934300358456391,1.9280666244808746,1.6413491589451474,1.4225039261152186,1.5462484568179824,1.3881749072895977,1.357992980759989,1.1565765735320686,1.316085718398842,0.982234393260995,0.9395385593216307,0.9281757125029623,0.9139743799656519,1.228976712436833,1.4317809673966713,1.6558177586548388,1.917283116581881,2.148744450274528,2.1930640959114083,1.8403924431872283,2.121246006613689,2.3726714216436897,2.004052796130117,2.0080372089099683,2.4133924426685396,2.448740031572645,2.07956729852217,2.299278044889219,2.548745413354852,2.3435025626653174,2.1640131133439597,2.3557977538913004,2.098142169207178,2.158296087471351,2.0004311417136518,1.9857537338972717,1.9466936800306323,1.6129078728593953,1.5696702102144786,1.5465793576708033,1.434103102459509,1.230463669200172,1.3222181169645066,1.3338952316283244,1.1172168708711354,1.0119267675252273,1.0804895677847999,1.1408402122295314,1.1241521197890811,1.2083070669402811,1.1595835641071888,1.4445231339785727,1.3234515697444913,1.0802078580366088,0.9958826959387076,0.8981947820086326,1.1354681930044155,1.0758992577997804,1.2225013285130493,1.5246909796560455,0.8240522005401891,0.7448244273728434,0.8487729477985743,0.7787012320779733,0.9856326308198526,0.8470771825442692,0.8584034232509453,1.68628849425244,0.7324275407318919,0.7429450050237779,0.8838339935891741,0.7402495517061752,0.7315579122564845,0.8428088880542184,0.8875596049912954,0.9270033405577968,1.4635235286541022,3.3845283334804344],[1.7640562011392729,1.342639168281818,0.7674135832846006,0.5179047597252536,0.49034493633298626,0.4148499530917003,0.34352112378306726,0.4240511244418167,0.38339348270821055,0.41038067964882746,0.47454340688070346,0.575517208242683,0.5117701919605133,0.5037924249274945,0.7042457721235686,0.6706642205703464,0.6165045033581553,0.7450618586258886,0.8185316597607957,0.73707504841034,0.8409237096953854,0.9441710908845947,1.0363615783389981,1.092646584223282,0.803457272080208,0.8156967127974383,0.6987860611351261,0.6361168087713372,0.658581707347301,0.6510886259846418,0.7896745276814894,0.7658675882442899,0.8564199843754234,0.874528231503447,0.7650886686557047,0.7341433502384208,0.6993957422829831,0.675909255137426,0.6347310334588879,0.6320789061630423,0.7607756642114257,0.7618834480835587,0.8242015004712078,0.7513792648823228,1.043971293934423,1.5539367945304592,1.3410537320375298,0.8578113261417234,1.1345636105309356,1.0011968637665916,0.9168096449639604,1.6948302970377933,1.1884671866606202,1.0218195692207146,1.8030020223879573,1.1216481619164325,1.6034962684669956,1.1430928496063826,1.6673511907281846,1.1959582740855994,0.8953434010452525,0.9153098961995293,0.9394797900795487,1.1602585967160077,0.8775982043856526,0.8287862775676647,0.9823227034405299,0.8879895149886008,1.0004185406345403,0.8846413339386556,1.1111763546121445,1.5790015592123845,1.1222831035897582,1.2906263246402467,0.9074391782683962,1.2984678058552677,0.8754723277393364,0.9459101578974876,0.8722563520322518,0.8639716863461435,0.8513168180311813,0.7438464137961057,1.2449014390208002,0.7470605370573798,0.7747380143365824,0.6763583393859335,0.7166316781820391,0.7707805962988875,0.793260725649154,0.9676348895432372,0.9010358249972684,1.075268732424503,0.9678096536652315,0.9128280714494835,0.8273397668424456,0.9065083171464337,0.8054203767972967,0.785013826914414,0.7422971301448335,0.8742464678261643,0.7378022465443261,0.8429131476329559,0.702174028487844,0.6963594932025314,0.6655882931549335,0.5970040037082812,0.7672101180991396,0.555512628852139,0.5899246301535415,0.7362101568060635,0.487953589601018,0.4352222675604496,0.39705218636231754,0.43868955356624684,0.48412864785179516,0.5081077426875757,0.5689259174248386,0.7219153983020796,0.7846269158161678,0.7792659471960548,0.7167565064193525,0.6261569306161673,0.5990399061063144,0.4473790001445364,0.3935833082794249,0.3674443949316042,0.43032609317086684,0.4296624859364991,0.4194965764706161,0.49296284186905476,0.46364446260461417,0.47293520686927226,0.48148758753706117,0.6022227454188663,0.5371956861350684,0.5852871723926889,0.6252722374113807,0.5859987187312986,0.6865992959995693,0.6082163622327871,0.9409486024228929,0.8266642508684825,0.6607608421620632,0.5796293390170272,0.5445689787745344,0.5571460808513564,0.48792539608026336,0.4978234158634175,0.47446365428554893,0.4918255759013214,0.5363747563867005,0.5970272004839683,0.8999766742386678,1.6940643892700156,0.9691227378953811,0.7405268549720788,0.6379689486018092,0.6339316735498614,0.5881950974303052,0.5743136043580539,0.5238032427108605,0.5544187107247298,0.49267035357924577,0.5636634784697905,0.5780856778212603,0.6842604605412917,0.5854964896229022,0.8834428132380892,0.9808132552601027,1.0177350488375427,0.6787000380452126,0.6505024411920297,0.5061052550888645,0.5205861826827789,0.5244708844301191,0.6120754264224282,0.613078402370463,0.9598483086679785,0.6276425925009078,0.7206051667420806,0.701847522336158,0.5362990432173146,0.5325891536730976,0.5053743237215661,0.5015219071184968,0.5741548333467473,0.5959344225944371,0.7193807690487075,1.3089624682414573,0.7600214646544239,0.9502116800838675,0.6620060901759455,0.852247855167659,0.7551525614692162,0.5660002931798438,0.6062724659010837,0.813923126960695,0.548103991447177,0.5646355549838014,0.5431403360805884,0.8137942724208258,0.977258129803014,0.6883756882162574,0.812109100954698,1.1962552739222958,1.1691893315013842,1.1158039292671005,1.1757877508600698,1.584896886516052,1.2781296243894082,1.2767927773778365,1.5723026865852001,1.646165552932746,1.5707359318772889,1.579680667830305,1.325169161134912,1.882585532291415,1.2448196119363264,1.2521482196437288,1.5395181791020778,1.5464710242456097,2.1888440050721787,1.8994110145157903,2.3708389869148068,1.7366273101982137,1.7227217667376502,1.6113868439308983,1.5637962881600018,1.338450219205494,1.1314599794506275,1.2487793329076329,1.054558159870338,1.0903376991379654,0.8736852908250284,1.072943286498077,0.8036617259505646,0.829955630424237,0.7879716733626186,0.6419585962843809,0.8258761618331126,1.0091637881011573,1.2745015822928898,1.4996516367077006,1.7932068278774962,1.7756659385100628,1.4406962201418434,1.784682905283894,2.016104322077693,1.6456325749156238,1.7116199866359723,2.1398226581238817,2.197619313578049,1.8797634488562927,2.105924778693848,2.3896760575340203,2.2450674056536624,2.0592799821908363,2.232298284814438,1.960639338972425,1.9675366472647986,1.763363277268493,1.7473954831274878,1.7648321443173476,1.4332892507303399,1.344770464979637,1.3676123215629699,1.2867451751371228,1.039218602838418,1.1370189733526148,1.2236872248987354,1.0323243021061435,0.9177919462876816,1.0004902641354738,1.1511849743381521,1.1211890138720253,1.2862157577266162,1.2419775883442161,1.5210597345826342,1.3262875367207607,1.1148370524589322,0.9619436449974431,0.855038629888156,1.185144896389249,1.1721209063811804,1.3644947104759837,1.6852914151410054,0.8524263364195469,0.6637274333113162,0.5411791344827335,0.46025908304221047,0.7054974769732869,0.4984092920890109,0.5545535343193175,1.4569076890323998,0.46556485973604145,0.5074309390524978,0.6059429678049395,0.4285737378331343,0.5034972707133781,0.6096974201199707,0.5993098746698088,0.6353936579861363,1.2096928482394071,3.183163257199934],[1.786060970846363,1.3948761487530168,0.7164678660638873,0.4930924590143144,0.46648802604362255,0.3827369938226956,0.3020784236572474,0.37171646848225437,0.3263749081553493,0.36787356159995155,0.4208531756204372,0.5276540686739019,0.45431727937369465,0.4638050021315263,0.6473208490273327,0.6196943996911843,0.5924108778559997,0.7248899536516916,0.82748885535483,0.7520930740932377,0.8708405530853612,0.9375353673491006,1.0939749957305989,1.1832694860077224,0.8406274951229721,0.8366826163744525,0.7176998454979373,0.6390539874309987,0.6390036910445691,0.6169732979968898,0.7761286410929574,0.7232855230821115,0.8652555914420534,0.8723407019352708,0.7550876623029178,0.716657285029375,0.655678711623312,0.656722115606183,0.6334038172711236,0.6417540882400219,0.7662423296782166,0.7949691352337678,0.8462804130373518,0.791842287038919,1.1821660891811199,1.7130925339598362,1.527077042116547,0.8892792321598566,1.1713672351079645,1.0609436824007918,0.8971616932622313,1.8550271238805955,1.2833626359039123,1.0858884374499762,1.7336321526274105,1.0695838348760947,1.6232740431030819,1.0932334804802233,1.5921591631356442,1.199636636735583,0.935237129197554,0.9450225108183306,0.9557031346561108,1.2543181537783208,0.9572104142632716,0.8489552571579568,1.007504319503214,0.9057718778245614,1.0694858875305244,0.8961278255376425,1.150278948883864,1.6447002173053178,1.109499583923899,1.3365571649115042,0.913036300676069,1.3418558261642595,0.8954837505149239,0.9434897957851389,0.8793628329979138,0.8633384767745163,0.8450352180354621,0.7334999217554445,1.2761536302948886,0.717477945109128,0.766067884788153,0.6444284692235467,0.6937931393754734,0.7507360032899113,0.7905342959786754,0.962203111377928,0.8877462934597634,1.0742054607693405,0.9466284992755732,0.8973651540944748,0.8024753876846664,0.8749387016140979,0.7613127510336477,0.7500055973111095,0.7015122660418246,0.8777265479772524,0.7076540655411044,0.8065371234096294,0.6520910276194459,0.6453314781757763,0.6242501202740772,0.5487608192474049,0.7221146254614246,0.5018313086026955,0.5163902273413911,0.7098655882027174,0.4355263504799359,0.39292066771016165,0.34464720065974935,0.40407348539413246,0.45356370588261796,0.484331428525878,0.5691623459546051,0.7411232765477822,0.8234365520910238,0.7788063655525713,0.7173662092283687,0.620922524222598,0.6234832139394183,0.41635036205991544,0.32875955425496595,0.3359154748282252,0.3937738501679955,0.39224448564705755,0.3529750099012702,0.4580676361069408,0.3834026534715066,0.41790590719869125,0.4363963932142163,0.5791952163758072,0.5131907097877079,0.5692192491700883,0.5653625611303517,0.5576104665479513,0.6781138262644847,0.6600398874495275,0.9925371096145453,0.8966874730662366,0.709464630608257,0.5871541242138726,0.5484249426831932,0.5570346410369396,0.48122358939939547,0.4834456571595459,0.4450381774053551,0.45043335677824126,0.48047966596758274,0.5553961698939432,0.8812089408380521,1.7438981824558903,1.0048220413159972,0.7251189900297584,0.5959599766637276,0.5865685898498947,0.5411455805310191,0.5174794274665171,0.5176570713166032,0.5452307231760389,0.5026478610875473,0.5568971902189728,0.5442133650572194,0.7084200295579287,0.5848532884103702,0.8933695062814153,0.9696193192251391,1.0029467917229928,0.6571795011202209,0.6361367252577316,0.4857655056388563,0.5092796544857621,0.5016375931061343,0.5784923201983562,0.5897202489796735,0.914593165665539,0.599116915272933,0.6581291618039683,0.7012434739488771,0.4897092883923467,0.4913184161139871,0.45763069492272057,0.48504089847457904,0.5760208273515518,0.6043185764524427,0.7232563644650012,1.362329760687118,0.8020572700561625,0.9979347082706278,0.7064930476357665,0.8638357041821612,0.7521597573899056,0.5224134606655313,0.5747869072902511,0.7588324134263904,0.46083986139432215,0.46764492653161827,0.46799039390931024,0.7228752522847701,0.908372142546684,0.626304945374211,0.7468609818665763,1.1346176415498328,1.1329002594706885,1.0784664670289343,1.1330355187496681,1.5509932722172364,1.2695468332043598,1.257724760313967,1.56122852094381,1.6532728079849746,1.562034588745037,1.5874125081824777,1.3160858139296394,1.8671425338637664,1.2083813249439306,1.2097471684287693,1.5008379709104505,1.4840208793352623,2.107318210161738,1.8299406660536672,2.294140050006812,1.6654155027597803,1.634930032568996,1.5216361143064647,1.4578095885488316,1.2436226462106865,1.0387005178419448,1.1448176623602342,0.9527991293824004,1.0101283955282556,0.7739666867659786,1.0192651388933545,0.7438067321422842,0.752769735377307,0.7305370007696038,0.5532446726826677,0.7339346882868069,0.9177345308845647,1.1959283653525081,1.4343736457062626,1.7141118879754353,1.7205722885004624,1.3766079594622926,1.714826399032646,1.9628157241751878,1.6035034943982964,1.6614573240448038,2.0946171796565065,2.1636091068608336,1.8487516640571025,2.063249515499997,2.354562934866576,2.227018093040315,2.0346507257043296,2.1972562558926945,1.9208191573326758,1.9128237160307202,1.700828087017483,1.6771749450632,1.705134584919157,1.3806006622756608,1.2680985133763523,1.2945173388578488,1.2289021334470522,0.9678747963579529,1.0485517442618375,1.1735448273688587,0.9741117239543061,0.8416683599710394,0.9259017373172026,1.0870103166198488,1.0597025603568446,1.2222161085155767,1.210124597642459,1.4892776782740347,1.2623336029119212,1.0426330592586357,0.9098012993622121,0.8119131053387376,1.0802965760315857,1.090995832931885,1.3125325920353474,1.6851010572586367,0.845891108520947,0.6259619270375815,0.45727894607917907,0.4076873261569104,0.6879367664369692,0.4561817364812175,0.5226830163525207,1.4486277283070803,0.43703329982340083,0.46839506707805334,0.5806817370258693,0.39357815974631455,0.44975979822569717,0.5736218399717865,0.5988756737061603,0.6086197036386521,1.1869590003105763,3.178233508925062],[1.8410868403147502,1.431667704074607,0.7309411945085632,0.4804479748902637,0.4772373498884656,0.4013523276092741,0.2988761554857037,0.35246355934463347,0.3083650502132137,0.3327092458923303,0.3860656063511079,0.5005051194877576,0.40983064540113817,0.4263298201581166,0.6080093039440072,0.5760670899534491,0.5523228577404193,0.6728140367102728,0.7752025274726516,0.6924820915751125,0.8139340259960728,0.9042082148043502,1.044733707979502,1.135408011201523,0.7993673031990435,0.8007177529207171,0.6721973140995726,0.5874536699773071,0.5872933595244234,0.57015285473225,0.7080346513028473,0.667241719007684,0.7851341506353468,0.7944173865319986,0.675822979636818,0.6538698225765595,0.6032355466773086,0.600089146674318,0.568908437965616,0.57071638422135,0.714899601130193,0.7299764520668076,0.7803963873598068,0.7361642881887932,1.1855213722289417,1.7612085041933117,1.6021079378018352,0.8309986404249772,1.1623059132812796,1.109834814909885,0.7863485348297716,1.8947575328700612,1.219968686089531,1.023057977437382,1.7037414265793103,0.9778963480994021,1.5691055184872933,1.0604096100451885,1.5436847224300687,1.1403014539943757,0.866081216008727,0.8540283127230504,0.875817428978403,1.1495907719664147,0.8537329138214846,0.7700027768156039,0.9473091386967226,0.8264241895415405,0.9874784455184111,0.829694615983723,1.0825542899334168,1.5193577175796025,1.0112231605652087,1.22135450698217,0.8361043462614173,1.296226322731359,0.816731334515877,0.8614692390226654,0.794231055998192,0.7946859705151482,0.7761800493011172,0.6557741408461958,1.1998808967075807,0.6290060757072649,0.7376308045589858,0.5878956985237183,0.6295358945245833,0.6790791396184818,0.7145500464625786,0.8854764763155356,0.8228061553939663,0.9962125318670122,0.8726505143564383,0.8227705872979622,0.7401983486298512,0.8223831746088763,0.7184172917721268,0.6889267291472513,0.6522267830075168,0.8382028781750746,0.6550680723607775,0.7723293211758127,0.607188379620075,0.6116404038909673,0.5802599339596338,0.5042961169840726,0.6783248158214135,0.4600920045617213,0.5020968272256788,0.6688487606585588,0.41168016883878555,0.3486538091422988,0.3213194700326664,0.38377871491897786,0.4159636057404699,0.4519075568671351,0.5144628623801315,0.695590473780551,0.7592051307673914,0.714280250990345,0.6638666601196718,0.5727779044762518,0.5763665559653549,0.3959195762600608,0.32548445963798434,0.3134160250489898,0.3947294835213218,0.35658413601671457,0.33248805681113375,0.41625606389407593,0.37996570923993844,0.4007617455339816,0.4079730652437878,0.5195939786563469,0.47484586296115255,0.5493030576528467,0.5901181926916879,0.5265067997334482,0.6259214664982006,0.6050476672051025,0.95887687814038,0.8582167384276557,0.649920142572684,0.5407263683044551,0.5018501609294781,0.5059772793600971,0.42611559459491133,0.43059067052565186,0.3933215349876777,0.4194564786458018,0.4564586860709663,0.5324170077271881,0.8496160623939215,1.7034243649499428,1.0021574364850716,0.6883983175834487,0.5673513348950993,0.5549617273700292,0.5098033353364665,0.4894518498194617,0.47625736353615056,0.4886934732411743,0.42557387816247905,0.4960105826112002,0.5121318210685526,0.6601302739765035,0.5639909622640863,0.9218408615017261,0.9983891853792263,1.0133933773273964,0.6459213932145926,0.6065823883122333,0.4368969089362915,0.43069624292767894,0.42578774427662064,0.5241443025992966,0.5347517516972891,0.8683082481747983,0.5296465940504312,0.609444046831034,0.6546056988623195,0.44396371613753555,0.44529200675055425,0.3933205929536046,0.4096849436911658,0.5017263091370139,0.5416637506882138,0.6592361951618827,1.3449770796371128,0.7845262460542061,0.9895855869609371,0.6617031032794533,0.8530838424720654,0.7405231296882959,0.5018814142093793,0.588274620375964,0.7472114550087177,0.47393315964010185,0.5027216248257654,0.4826304051159681,0.7453540741134314,0.9263974699043338,0.6395898265666629,0.7713286291148115,1.1633533011521435,1.170317325371478,1.099892660175692,1.1714662703602419,1.6034106907284382,1.3238956999344964,1.3070979482076537,1.6283467578561543,1.7361629009852357,1.5893481712953503,1.646593321653734,1.3623741775848925,1.9153533869561001,1.251248510429727,1.2623710901826615,1.5539821719852083,1.5396952560204429,2.076658869560316,1.8872430888733445,2.3294314405793077,1.701601877746053,1.6510498948643961,1.530618076636397,1.4445262243141337,1.2636414478121907,1.0671872902709971,1.1555260487193915,0.9677335051523166,1.027482511739256,0.8025336544335627,1.0471931262887082,0.8218490555547083,0.7951944560622599,0.7859565279979295,0.5852122514628579,0.7410943036380009,0.9211232037463487,1.2068873407533884,1.4370982359463882,1.7133722465620473,1.7202091949321903,1.395591555755491,1.729885476825002,1.9618432178257916,1.6200728087083893,1.6920333190449985,2.1286805730813474,2.2096490620339373,1.9076975131683662,2.110244459223754,2.409146419437896,2.3129464157759765,2.103734328009328,2.258752958389536,1.973700518583746,1.9520525387895913,1.7338458445662437,1.7009857251065372,1.7426028044206912,1.4251357525975,1.2958397198798626,1.3301447260904231,1.2698635207154851,1.001189278797084,1.0792562437068056,1.2126990027561162,1.0018562262648374,0.8731979839429957,0.9477680544712029,1.1066529908514608,1.0834042750374357,1.2470531581637094,1.2273488553376086,1.4730752193090355,1.2836905288029827,1.035714087305063,0.9236092456737502,0.8345368985778404,1.0523338397725372,1.0936267381782856,1.3357512601936425,1.716353115836895,0.8889887346701052,0.6311882251115825,0.4839977378421635,0.4398024828354339,0.6951766057350715,0.43710536692674157,0.49134407692606635,1.3945955715542175,0.40995865413972066,0.4464035299394445,0.5390879132237074,0.37346819979979395,0.48546207120159496,0.5229969307337331,0.5571251518373916,0.6042833538243487,1.1548650029759469,3.049770492688425],[1.8921196598245427,1.4768402434069667,0.8427368488463499,0.4778239919576079,0.530999638819072,0.49608788877613286,0.4070974555595929,0.4725243120264077,0.4238933779058795,0.42392370119032835,0.48283354741693973,0.5828194347204959,0.4905129394467007,0.48661319155543054,0.6248746880087279,0.5994950859657183,0.5776909822568815,0.6744102134673301,0.7606104518918745,0.6861609686849383,0.7961428486137565,0.8907799422822235,1.0147381195896419,1.1293621091337311,0.8101977072039902,0.8088509250443306,0.6766406308420991,0.6012824380109743,0.5949290347552466,0.5880283311338557,0.713738498051617,0.6941351514329908,0.7865570291613293,0.7748440440733636,0.6772268218093105,0.6457467380573636,0.6114372595693355,0.5960813754745903,0.5692160716292158,0.5652734331826902,0.7558945803848784,0.718022454587024,0.758628668637512,0.7298112921724546,1.2577505946086827,1.8562603706944476,1.717594948857086,0.8246233188820656,1.1461871099093663,1.163660479266158,0.738642187727295,1.9530598351893689,1.2074262855945785,0.9951677249623241,1.6920050191511196,0.927267863831355,1.5191474691941949,1.0515850075229325,1.5069755677209242,1.1063799264993905,0.8604921622903351,0.8084137472893623,0.8301887030671278,1.0857135428566267,0.819234672918135,0.7397312886562145,0.8990885188700865,0.8071546995669256,0.9645338525964259,0.8051512153140036,1.0488772319627442,1.462833299680376,0.9893453392022746,1.1849051718144747,0.8088610469074636,1.2516434258062274,0.7874363217088124,0.8346857220036673,0.7654828345612895,0.7580788550167208,0.7353874152879982,0.6278549353265679,1.1377599834177783,0.6462757226796942,0.7507238326266173,0.5992449095758792,0.6172190480777183,0.6666856062043093,0.6950823943314389,0.8682129812786046,0.7919137791614321,0.9748829000668334,0.8540854909690503,0.8074119204256768,0.7375065733866552,0.8202381319573925,0.729361275519928,0.7153335719873516,0.6937921416539082,0.8864128799318993,0.6987292044842811,0.8315334657478431,0.6582145825208902,0.6827820000647681,0.6833980605058243,0.6295653550431555,0.7863381269378523,0.5823341457914248,0.6062432868761922,0.7545957553896274,0.5451088266666934,0.4599864183715231,0.409179581263599,0.487410511374158,0.5020059263907223,0.506582067864819,0.5416137198430097,0.7037856845060138,0.7356483329275272,0.6948042143546772,0.6596417638167613,0.5904738640326898,0.5869184024661651,0.47043108176415066,0.43718002960179947,0.421506068839265,0.46900183969021264,0.4716441968301862,0.4718512131746779,0.5341313624837534,0.5110616145929339,0.5043436829437787,0.5420737149271082,0.5843977709880422,0.6006852603468089,0.6888522314353067,0.7604826674809592,0.6530095146912166,0.6901727148069545,0.6733824643872572,1.0149673409159317,0.894316718754278,0.6415994553053745,0.5827502997072624,0.5373219617191299,0.5335801020119806,0.4772561714650099,0.5077530176007984,0.4771915539986309,0.4956497434443431,0.5408286705702271,0.6265273579905587,0.9355752984956622,1.6823083134693435,1.0572067838342807,0.7600411257916496,0.6373452807754163,0.6330372430488685,0.578071410442528,0.5612941626143733,0.5557600263419281,0.5135170759434454,0.4915366745578135,0.5219117546511851,0.5655508627460873,0.7417312539224227,0.6946821872084802,1.0737554947936523,1.1741525822794145,1.1626436914115181,0.7918316361798744,0.7467281543375639,0.567499141227606,0.540032648338435,0.5011664596319385,0.58674347919611,0.573480961084161,0.8605586781493185,0.5813726820133969,0.6463577267304671,0.7561968516448249,0.5450694286128448,0.5416591287466257,0.4999789767090648,0.5049504755781807,0.5724262840526984,0.5617760793046388,0.6769962471031393,1.3419348732265874,0.8349065867460477,1.0687535617366983,0.7194488367874583,0.9569923323433045,0.8526048124163791,0.6260913481306944,0.6840833557341669,0.8512412491222159,0.5912593528333259,0.629210213579863,0.5994806416569961,0.8903469518246189,1.0427444726315642,0.7659291723940471,0.9078556630137108,1.28569757033733,1.2812454313897723,1.2180640688512079,1.2985037370258357,1.7305781324054719,1.4432347366916998,1.4310675707681801,1.7597011321996276,1.861130663988412,1.671353316862037,1.7635021056001967,1.4825607393541917,2.048151805496132,1.3875105791073743,1.4066018211066305,1.6950805106566849,1.7040870466787568,2.1441022872227458,2.0280571011237813,2.4533600489235416,1.8304831262038366,1.775201565412788,1.6466660702928344,1.5614440804365246,1.404728662283872,1.2086443285276525,1.2440940762915171,1.1151137155520592,1.1817484403881613,0.9366891746464011,1.0837426724440822,0.9777508350749812,0.9253657238102537,0.9206625097593852,0.7279378386009795,0.8537497016640635,1.0266816891898707,1.3195630159893585,1.524732521739321,1.830498315972861,1.801925385498061,1.4981837187787062,1.837952309772658,2.045083759938479,1.7104528185699022,1.794755521156425,2.2340269556113843,2.3103514159636482,2.0272387975286215,2.2363162414529048,2.5429246564798533,2.456298148543879,2.2423034608799433,2.403128361981259,2.1178807275942284,2.0879415139157844,1.8583041150125947,1.8278951101055028,1.8858309433626432,1.569191088682894,1.436818346947223,1.4857138230189217,1.4256259261338815,1.1513570968095503,1.2411646693266933,1.372442674072877,1.1480304836036737,1.0082925370437374,1.0889179550632988,1.2264928311466805,1.1900251116295657,1.385900763310929,1.297519770470809,1.501229249184091,1.3904043282544063,1.13133784527543,1.0570205218168216,0.9796771359177733,1.1095206751459086,1.152444843051646,1.380619239394949,1.7021161697723624,0.9326580536295285,0.6864632097998338,0.5869219164573561,0.5135867709696846,0.7861687931760686,0.572504224902354,0.6077258173027762,1.4834736886269748,0.5314649860276026,0.5662973440607916,0.6400434783925738,0.49828804513707164,0.6614433554609022,0.6188715351483584,0.666309546357877,0.7696587029471839,1.2780305049682419,3.0067992820678593],[1.934077991355485,1.548174556938418,0.7592129199735752,0.45540666645365296,0.5308665868974369,0.48185991273466183,0.3953426404047221,0.4193645726313394,0.39441923673587953,0.3909534252997309,0.434581179277007,0.5025551867443568,0.4394411846156186,0.4655200946905977,0.5749700326544331,0.5359526309037002,0.5758193031321748,0.6525127086997554,0.7623275448475887,0.6764525711886687,0.7934308639525247,0.9077949508895543,1.0349856608697583,1.1647271439057967,0.8378457635893853,0.8283073103800399,0.6890260931060733,0.6036905128832896,0.5904340387612349,0.5497567840196732,0.6551821848413114,0.6174468557234537,0.7177333067404185,0.7124268643657767,0.6141547934134519,0.6030904768783,0.5612194893610684,0.582346548666137,0.5542174716176526,0.5492578777565151,0.7610005860429975,0.7394397297642686,0.7715707871943256,0.8029032925599703,1.390020982161556,2.025841597036921,1.9335412050261869,0.9506771840392645,1.2944444868102576,1.3893586518151269,0.8482645410917444,2.166721335695274,1.3073387570169177,1.0823201262309146,1.6371440941461346,0.8749011655848045,1.505304924572745,1.0660995138795872,1.4677511677975672,1.1533774389640512,0.8840815951364976,0.7957465709149898,0.8019497115941249,1.082441294181301,0.8000341164060764,0.7170434734127372,0.8815744618118123,0.7754665301963501,0.9686655595296499,0.8004827166693534,1.0281592634852377,1.3704034756554668,0.9457639725705488,1.131616328792334,0.7814443697804636,1.1975162857476078,0.7512585632280405,0.7688781846549061,0.708862496126215,0.7359336914752528,0.6846809814180216,0.5968235435409932,1.066799444068023,0.525342530924299,0.7372538687004274,0.557523796030621,0.5899322180086463,0.6240620152701261,0.6561407567677423,0.7994721097967407,0.7498989810489282,0.9154391263781547,0.7937473091262459,0.7264700329972908,0.668576261663826,0.7498285911291669,0.6529735239441001,0.6352512641589171,0.6171571283878304,0.8119804666196039,0.6131444158657645,0.7565380160993816,0.5735579356411791,0.6238480207396097,0.6229581253069569,0.5694702152205803,0.6936569289217135,0.537863032230595,0.5549320294625667,0.6700259305144118,0.4840407210492371,0.40793377181632745,0.3841774410525545,0.4487012191201454,0.46576479553551897,0.4932684206260498,0.5557016921068096,0.7253260658679976,0.7651472599772776,0.7002776947139809,0.6727906966633279,0.6066554722116232,0.6164010990719029,0.46311802173905114,0.42328382798127867,0.41046016282835374,0.4407067071858389,0.40587408441273126,0.4083653575809357,0.46310656776781256,0.4559592072025876,0.45459912758013266,0.4984638220382898,0.5067381729212447,0.5671474647005454,0.6610802874914927,0.711619042334082,0.591925974371625,0.6355515636358732,0.6758392328635017,1.0317809444948651,0.9272835985735194,0.6460215097159248,0.586056755613967,0.5463528116897793,0.5218360581036402,0.4688224538039657,0.489455512968158,0.4430224661841871,0.47376817099721535,0.5045581199680885,0.5732635980547814,0.8221189074845573,1.6778282400391384,1.0349609342815893,0.6710292534095791,0.5792899210360027,0.5769747031931485,0.519692695303394,0.5241525199971919,0.5154055676811621,0.49309231185985136,0.46727763642219367,0.5016477563159626,0.539054980992993,0.7463639143617318,0.6846077779903302,1.1244709860782829,1.161447933741536,1.1398802447705632,0.7531869894441887,0.7038110910319513,0.5186363690347867,0.4759049459671447,0.4338168695675516,0.506524305026293,0.5161027088568952,0.8095787514176999,0.49168036422543526,0.5748979001319696,0.7118792897367842,0.4732113697814547,0.47961420384016806,0.45370972988354763,0.48182133945312483,0.5538891247134234,0.5894137503355206,0.6903786860560766,1.3865146707244222,0.8789539249904983,1.1151768416614647,0.7627733491454425,0.9938195262948586,0.8721046178438263,0.6111303993030068,0.7049146461535756,0.7683227742412616,0.5366846298580317,0.5686236367797646,0.5521001624416597,0.7831089294525881,0.9450155535918474,0.6901556815578224,0.81969808023643,1.1904763045901001,1.2320076885346938,1.136421896577919,1.2257520131814261,1.6679863425474473,1.4397383507400672,1.3991800144984534,1.7278152331415482,1.8840778894868395,1.6529768126501283,1.7538598309529672,1.441165896866767,1.9773733896938843,1.2706340482514669,1.3153782961655829,1.6007972039444502,1.5844824054311843,1.9453955317631821,1.8901069508192547,2.302226715689977,1.6754167820776613,1.5974714942143307,1.490729454639713,1.380017427542496,1.2357878194067278,1.0664780103064921,1.1202935451406035,0.983605641407821,1.057829816352097,0.825404196486824,1.0212983623143421,0.9592489780762441,0.8641239256455232,0.9166581446694322,0.6437955347446475,0.7264698971730729,0.8841874860684286,1.1926646436482249,1.3895493543566484,1.6632691605534162,1.6658525881673005,1.380007901839861,1.6986736739081478,1.9145994658194747,1.6205971006176558,1.6951463178746984,2.1292238801941696,2.237070572500856,1.966207335740744,2.1387563708348014,2.4529735149508882,2.435532475424628,2.184729212709894,2.3095729670922402,2.021237533310003,1.9599325800043121,1.7312301726759605,1.6729688362499238,1.751303096868275,1.4656340533824617,1.301406447578472,1.3445043922373174,1.306591653097017,1.0272070563086413,1.0907096814958872,1.268967356475227,1.035026349915327,0.8966515003884623,0.9793692657641623,1.171069901128535,1.1074339511392675,1.2901544305583577,1.2650598451538166,1.443425737522679,1.3088572475589437,1.0087778133974958,0.9601217591889533,0.9361802801004621,0.9548610383865246,1.0509118908051105,1.330824086746375,1.7300352051892227,0.9618748044468055,0.6549538661586035,0.540444980093122,0.5270557438940081,0.7401928748445945,0.48542414087097147,0.5266470399362568,1.3588423346525902,0.4366674851858649,0.4696058982051913,0.47793214162941805,0.4029482414404953,0.6353143537786917,0.4678974826037486,0.5160027466059429,0.650529613461442,1.1588971491582514,2.858375530778892],[2.089426457221998,1.6653678094458961,0.9186353161969233,0.6403692695602946,0.662732701727708,0.5984045816605668,0.5134307452392752,0.5265697832077619,0.5175127756699763,0.4964089746894155,0.5056634165153722,0.5979443436522559,0.5090884590102371,0.5190361800397928,0.5973962048388906,0.5634746984000825,0.5910773972994012,0.6258446894437133,0.7097196631690604,0.6526624776128989,0.7187607278747544,0.7684913930253435,0.877197394376513,1.0344122847263642,0.7587805144616216,0.7548457539803961,0.6594226030071441,0.5906381217083417,0.5754633644383589,0.5696043493585935,0.6843633025807783,0.6386558115459866,0.7179066557762559,0.7200607670395652,0.631168402626497,0.6038269425816544,0.5669610401299618,0.5608988207072936,0.5780642553798654,0.5805758052218953,0.7464932368039084,0.6731937483634894,0.6612943153221064,0.7732422059852622,1.3764933614266017,2.0726309562150913,2.010930968304062,0.9237863004929987,1.28130585854282,1.4637922064163253,0.8925036311170397,2.2287788273354088,1.3677149141092402,1.1465833085560704,1.5713319966032138,0.8949351302534782,1.6322215127342559,1.007248810685928,1.359193065058417,1.2899291748439392,0.9287648199569372,0.7845516208027677,0.799243775137609,1.0659397911926463,0.8107834243217109,0.7293265118319785,0.8795847260040873,0.7745892006382646,0.959746411670077,0.8028693376621484,1.0293574301976967,1.3761470329780217,0.9885897311026024,1.1666074073370893,0.7867347306937055,1.217224514825017,0.7721941035544113,0.7833691145007786,0.7220528573451935,0.7533351616313766,0.6893347405430685,0.6119191112270611,1.1258271279496235,0.6130347145693303,0.7419221356767844,0.563101024592802,0.5720504450744529,0.6256373468574058,0.6594874939391341,0.7952021851224336,0.7457431803407016,0.9282526121152876,0.8110336098421238,0.741211472283969,0.6898876743918972,0.7838113314163172,0.6927789273526775,0.6695378273129658,0.6784486449588714,0.8811345189116722,0.6594426879846617,0.8008733468857764,0.6236036064378754,0.6721755679266124,0.6711806173013425,0.6596960807355922,0.8253969459945856,0.6314370694678973,0.6477681145485311,0.8027682943578639,0.5886138945937002,0.5275987395645592,0.4816533143156821,0.5187178993687275,0.5131650499569429,0.5258746302247387,0.5733767158281042,0.884164446149795,0.7635757224682009,0.7082738262342514,0.6656542436245901,0.6178976387416845,0.6996799830754935,0.49923324253099605,0.4878442669333928,0.5288494708982385,0.578111468087042,0.5608832760474268,0.5619760711817902,0.6105767992346314,0.6279501028869914,0.6215244845640951,0.6470083667547589,0.6546287061908667,0.6969139922863481,0.8119921602369884,0.8551164486839047,0.7759582881320366,0.8076404580538267,0.8227909702232901,1.0691612959280001,1.002164192298813,0.7236442468693447,0.5814264482021109,0.5667282402488352,0.5574042889254526,0.5239622391915465,0.5438005979192416,0.5102035208720131,0.5469262922157188,0.5722219927205665,0.6226323209996354,0.8637148221934139,1.5772926262442444,1.0772186933376775,0.740677435603578,0.629466359059238,0.6272662175404493,0.5646605530896356,0.584478033498701,0.5879196169766182,0.5479725092612188,0.5737601373235623,0.5592157145132,0.6430352570680717,0.8913163280110254,0.8665904450855124,1.3089167504655461,1.338370232165009,1.3066129629283567,0.9246418302435336,0.8675196321623029,0.6800342616965961,0.6159920300475518,0.5213522875750861,0.5692885014775699,0.5800702212930058,0.7997225367335763,0.5497673791801952,0.6008700540103249,0.8326847309884009,0.5898489587971129,0.6286950956793483,0.5979039011763878,0.6304918779049038,0.6392258372176519,0.6534705200918528,0.8684868179992038,1.548881107147213,1.0167477340523337,1.2247292055830774,0.872243656994668,1.0875022522095938,0.9972578119998559,0.7715102393420078,0.9173859389264992,0.9500761864438035,0.7112396405324019,0.738240659435936,0.7041781248679105,0.9205709681790778,1.066730222980913,0.8367953440281527,0.9553523956783919,1.3101470047355415,1.3397485540336491,1.2341478970350508,1.3510977252266616,1.7864715429122229,1.5646731268753957,1.5278165758293336,1.868014719636464,2.023734764129881,1.756603001604858,1.8884032133947106,1.5866712176215854,2.113514558595607,1.421210712641355,1.4522788048099593,1.739641009348119,1.7162858911386418,2.039487920493216,2.0482259876004263,2.3918255806795816,1.7794109114597032,1.6861930024488763,1.5598688368705902,1.4511698008198421,1.3820271156737434,1.1981412839600747,1.2265397639429634,1.1493377730798164,1.2356496205331757,1.0064273458489494,1.0852168709264685,1.1719024479713518,1.0329637214791159,1.017973850018437,0.8045925416233033,0.8651156236214758,0.9997138294874353,1.2811527246201568,1.4406601656866354,1.7458596578380166,1.6836279532709912,1.437093904488851,1.7674757490937822,1.9427974931454013,1.658934102775775,1.7703279439111475,2.191695122427869,2.299231940148068,2.0565732601256044,2.22804716454348,2.539066564490891,2.5445107635257322,2.2998164908894636,2.418482618856747,2.141889418980093,2.0664279478012757,1.8301350618955587,1.7789300509112527,1.8715507625805994,1.5935331224791311,1.4248456436728636,1.480321857965977,1.4393617139899533,1.1615010883896948,1.2376483438154517,1.4143527227074197,1.168281750244644,1.0441282465588992,1.126642521629722,1.3073437918291673,1.2313669018182267,1.3872257242154844,1.3639540682146531,1.4837219379728768,1.4064627327362351,1.1218226007877832,1.1110730126108372,1.1092093783149102,1.0515770705450487,1.1587533540324748,1.4163613494175369,1.8020963394658216,1.0704746813208197,0.7883493361767802,0.704808819489117,0.6301635651281903,0.857578575038712,0.630224879689417,0.6857488988294091,1.3779647287120895,0.5961056712991749,0.6508447205686476,0.6872760704629993,0.5792807405318458,0.7047713485196214,0.6549340555175576,0.7022283872804391,0.7862503109522587,1.1262829287808667,2.578214228542546],[2.0905479964675266,1.7569348937737765,0.9300589314817564,0.7365174362160112,0.8287953304121336,0.8234527237286938,0.8316115375396864,0.8820252909276611,0.9193603157452261,0.9633460580689713,1.0114124452541384,1.0434828717147986,1.0040566676827312,1.0145081213748148,1.1055246292879986,1.0624113025433335,1.0496585349220655,1.077279341905738,1.0781191499530076,1.0609499082260634,1.070603211283202,1.0924655319192076,1.1775526825986151,1.258915191400359,1.0304092622079488,1.0394019909197023,0.9924514973376816,0.9910151229112418,1.0215157916282518,1.0299093570201863,1.153194769337949,1.1203541726938973,1.2031156524969215,1.206643521239138,1.1176556995193991,1.0819008955471452,1.0447794511248671,1.0308956856436875,0.9560703948230582,0.9546129591407988,1.0185579319686497,1.0079068062143293,1.0247849427680553,1.0756791032189137,1.6323317541857099,2.273040857037808,2.3059084633593026,1.219002164509093,1.4488283753231983,1.6684358798573482,1.1772790265591526,2.507075805353662,1.6296271922808239,1.4562314429035275,1.792950756236107,1.1836519896800857,1.8212771310016813,1.2947905931958104,1.5212550090241967,1.6289862521811602,1.3208445537294704,1.1868452856605867,1.2048748612795865,1.3794914278628412,1.2171509437138583,1.162799643894568,1.2039452651212668,1.2124821093864169,1.350784698330905,1.2141145637384168,1.3408207044402427,1.5746675219964728,1.3483416940849378,1.530856296776061,1.2283757656288545,1.587571482636913,1.232625302211345,1.2487777960401223,1.1789582592516819,1.169289535439653,1.0885029552719487,1.0283233852850606,1.4425555001527959,1.0108493776964116,1.0426208096933007,1.0072905750794872,1.0364776939163463,1.0687662375748372,1.1140497483731595,1.2469049031336106,1.2109719240186936,1.3784029374786584,1.2725482399075296,1.22859567924663,1.1968096276036815,1.2650605122211473,1.2103500792715534,1.1550622698029698,1.0874351272848766,1.2263210940315745,1.0848946496443304,1.1576793782737482,1.0182473197693946,0.9992148666281656,1.0144059927051774,0.947961905015462,0.9884834082099773,0.8837907604827804,0.8806286638411194,0.9928366872794584,0.8512023986193887,0.8498171283202645,0.8427797443760296,0.8775807569405071,0.9471156872619259,0.9205172253925099,0.9669338701988143,1.1339293586260548,1.1245699501408786,1.1260197075106473,1.073829948841906,1.0257540729293813,1.010827967333846,0.8837852574734707,0.874456955621008,0.8398964607596321,0.8074486464063784,0.8034022668597837,0.8006825870614231,0.845949617299854,0.7948138682533235,0.7917860818352864,0.832900419919373,0.8563448341096523,0.8775865826365092,0.9738541635521519,0.961766121552558,0.9308454331403662,0.9580804946123744,1.035599444040442,1.2424133428372481,1.206602445298876,0.98830454965307,0.9069165327934493,0.9245121090936752,0.9378502267289026,0.918673844146329,0.9805480022698275,0.9205874813346347,0.9662778711033412,0.9595081005767577,1.0222884754575057,1.1709788787433622,1.862058158565288,1.428434961308254,1.0969984299876085,1.0191686084011355,0.998641216417986,0.990343059297886,0.963474514527593,0.9792135999285806,0.9646818146872627,0.9245848460166857,0.9229920423556679,0.934375864596963,1.0819629674354774,1.03379687924257,1.398493668785782,1.3667771344424469,1.3436653710654085,1.0450985850943342,1.0343361204767347,0.9593759697315625,0.9487761384498428,0.9203561083821267,0.9778601842443814,1.0120022605870431,1.1650024010326308,0.9938951307970778,1.007707649275227,1.1177645838687276,0.9265396549099332,0.9193409833457881,0.8663641150679946,0.8671754974001707,0.9420668111983788,0.988801086015003,1.141184217580962,1.6758437466952572,1.2210154393828216,1.4140822946395228,1.0835794762190156,1.258459257169458,1.173860196541053,0.9432930257562754,1.0300134953913993,0.9367455002262943,0.8195559147413135,0.8431582139587628,0.8339491006196251,0.9938713729516082,1.1202604977614763,0.9516008074293096,1.0335367764246783,1.3355254659713158,1.4163673172611033,1.3250468059041647,1.411040787103438,1.8044647906598477,1.6736714632742122,1.6246662405084809,1.913281694262693,2.1030744377970274,1.8756463680313364,1.986732746970846,1.6580192215654077,2.1408950389414656,1.4397258385715395,1.4820215257113367,1.7393116227328338,1.7024827966060183,1.9407734930370433,1.9205968291305078,2.2914958466180346,1.724631660992559,1.6182950993724576,1.5267000026754791,1.4072328369971412,1.3163793598193907,1.190747765715746,1.2234653329679797,1.122540977739024,1.1820121756652993,1.0069506148529683,1.2021980709512998,1.1877073391425488,1.052568061702469,1.135646915599926,0.8962523928603621,0.9060964649452912,1.011294124722724,1.2835439494127332,1.4255691671105786,1.6688024790280498,1.6636184593764392,1.4450104015595384,1.7269450869681497,1.9190966415411768,1.6986729567656844,1.7668996168899438,2.154223712953867,2.2867103972009244,2.063539268428331,2.189174044298904,2.493515278310208,2.551152024400636,2.291396176430002,2.37001334553967,2.1068686158531498,2.0053629290555524,1.779919694418295,1.705946750730321,1.8225849610199099,1.5936271292375663,1.4035891416828221,1.4597854009395574,1.4559622337164513,1.1991825723123395,1.2530884995740168,1.4525413835349252,1.2209291436100838,1.1044726126022812,1.1815755924116922,1.377863795789526,1.2825917127659445,1.4404846984827469,1.4141054336943037,1.551195713747658,1.44742855227494,1.1784339994570354,1.1778707900169418,1.2441529806939435,1.0900347163323778,1.1366487993872072,1.414348803141091,1.7967224305842864,1.1613730753594462,0.8815688798747021,0.8257419259080465,0.8281168596456014,1.0252469723797584,0.8357678865977386,0.8370650250497155,1.4510202600754687,0.8146488959682334,0.8055429449907026,0.8234146900919903,0.8108523169415822,0.9775903065969948,0.7970354843304177,0.8070303170948593,0.9922408472572007,1.2408761357716653,2.503615418286871],[2.165867659680107,1.7798949044147196,0.9340764676820387,0.576566387546797,0.7146924603643613,0.7041683869855835,0.5448693620436805,0.5559269848624012,0.47566197178926306,0.44100684752780833,0.45601283462694997,0.5249943105985215,0.46007550924813273,0.5020425676092379,0.5957041766510037,0.5377706713746881,0.5919306551842023,0.6367606508929986,0.7668797780402505,0.6957238896064274,0.7770741744810549,0.8102829775945793,0.9493055426067657,1.0458507830611976,0.8154154485013271,0.8033816333577132,0.6628246469238906,0.5909527709655399,0.5784341839288343,0.5586752766438717,0.6713809940931253,0.5861012036059675,0.6976715415794473,0.7098507290571864,0.5842291570506154,0.5991442333690536,0.536135434584344,0.5608846306117702,0.5317895182842591,0.5491842838131114,0.7194035997800412,0.6842598948064313,0.680711447242626,0.8672327118589264,1.5305130351802032,2.2394930905463117,2.2684352673853687,1.1043398061367333,1.4173768945773855,1.7168069587688664,1.0959571559852361,2.417837733471773,1.454698773636938,1.2313588074219453,1.547316855760988,0.866018433460462,1.6207856220364052,1.074519615178559,1.3096818932196792,1.455095478421394,1.0634426761891351,0.8897266251984808,0.8422206008852146,1.1480605623841718,0.910838284771417,0.7839519950664657,0.9509120663648232,0.8469871008001963,1.0720270567970362,0.8993135305344553,1.0866669240432631,1.4516284914511468,1.1063058735324167,1.315047715133288,0.8772492060822571,1.3273179051960162,0.8288953996016999,0.7962784594828938,0.7165411738020923,0.7225359231527039,0.6557134778037911,0.6330051421558108,1.0211898774875523,0.5299138612537091,0.7046172152224166,0.5302083970216868,0.5596563595965034,0.5873787079927452,0.6485272548140694,0.8023176066826367,0.7644337348860154,0.9595705152218583,0.8355032802595697,0.739868928575259,0.6922942356185341,0.791285655623409,0.7251887212311251,0.6347639643742052,0.5968179594423257,0.7616226434973103,0.6007126645934725,0.7679981704436354,0.545182368009202,0.656643300710425,0.6667291262255826,0.6569520159273963,0.7832515504622566,0.6865890581320194,0.7226262596752632,0.7511635649415163,0.6537428554466357,0.5166920051784171,0.4813382172556508,0.47156754063314843,0.46858921901196254,0.5188872420841639,0.5818855871265257,0.8981963998092857,0.826172697939232,0.7486385933017176,0.719476154526599,0.6534555054937764,0.7052473518336293,0.4977441808866103,0.45504845720090525,0.47628876472403936,0.5748162680761048,0.5212702052122026,0.576683066376307,0.6039611166097844,0.6407065169900986,0.6559719958612211,0.6453296579598463,0.6179741686586803,0.6688795750707893,0.7719085049274153,0.8836979658723368,0.6872928659279967,0.668801834865043,0.7495042229474753,1.0627566854486106,1.0398863867189945,0.7172727559021302,0.5568481739624965,0.521491996052531,0.513282828082612,0.4760678726446262,0.47994584553681824,0.46089878653972954,0.5154014536719351,0.6051494855004285,0.6702159369740383,0.867481421836665,1.5696222589987088,1.0121914164307306,0.6794477204966836,0.574652906191097,0.6038879210728335,0.5099623752933979,0.5442116427087729,0.5797067814226227,0.49768170934054196,0.49855176299659576,0.5006971157158342,0.5930682654110686,0.807898258143994,0.8353392619497918,1.3263940384613533,1.338142498991294,1.2661084375679148,0.8822594651425518,0.7919521977433004,0.621378851756841,0.550458655750306,0.4642906130288331,0.4995860068959623,0.5220964043438613,0.7647942603566581,0.49097892453423825,0.5671833060315499,0.7823519502321704,0.5453571544914686,0.5767974584284093,0.5460773663998408,0.5466484306560655,0.5797285081474073,0.6173996505037509,0.7748125249709003,1.550161432371545,0.9945841726173285,1.1932397726482549,0.8515136120216642,1.1289381404926502,1.0439060437426368,0.8031269698874298,0.946781707248982,0.9076481424941192,0.7509439096727302,0.8353311918304556,0.7940911071591261,1.0544633150207774,1.158842104966035,0.9464648901515381,1.1257483708312894,1.4563298107403784,1.50665383184132,1.4148172087003439,1.5657950868406258,1.9494111807972294,1.8141924657486193,1.8102612336737862,2.1158401898945907,2.2656895783506052,2.043301056487411,2.2291480210656163,1.8812007364379364,2.406592250634628,1.6902955524816787,1.7110111825959762,1.9723195824685376,1.9513463071927983,2.1281220965898244,2.184405300692861,2.545816191499206,1.9033567779927871,1.7818269686628565,1.6735290799192972,1.5406662523909034,1.4916234165839666,1.327566148171697,1.276178460111586,1.2662699613757529,1.3177497983724251,1.1078750027896758,1.2082948076484794,1.2933269719211014,1.1651212030501787,1.1613405427715109,0.9538679416309849,0.9074814325422932,1.0484738461134693,1.3633400338393662,1.4763126493924499,1.7786725672839157,1.7084120465340984,1.5000405325795396,1.8026890089701368,1.9588210186460138,1.7361496762243078,1.8294500478070186,2.214492682057719,2.3297842957966624,2.1602390014951145,2.309146709921951,2.6001293952018787,2.6783905249825595,2.4456396762531583,2.5315189864857426,2.280541943558001,2.1618494942320856,1.908475845657694,1.863603674007001,2.024380502788998,1.7750921484672666,1.5755685430946806,1.6702868404230957,1.6689837558303222,1.3588144230518564,1.4448374631949754,1.6804815175798484,1.4005658427264223,1.2306567698525446,1.3736223284155589,1.5874787144213367,1.4305280839492558,1.5883879857481384,1.5130001022493247,1.6113283461222327,1.6110986494534842,1.3298329192981109,1.3596537002193487,1.431977948594587,1.1916672913206356,1.231996438199153,1.4793928122088635,1.8210928719484898,1.243384232042632,0.8970730866623581,0.7923721180828425,0.7229407645776753,1.0384440421488144,0.778930055455169,0.8651196511172509,1.4154903404236363,0.7454907838974787,0.8667811946351749,0.8134577769235659,0.6647851415873705,1.1014139085710026,0.8869138521430228,0.8416761748179492,0.9343518092604877,1.1484882536864514,2.4608890789422206],[2.0525773581587794,1.705157143491673,1.0192373069781209,0.5944732286097312,0.7869691763073159,0.8933226735904289,0.7733634814202047,0.826530958925567,0.7189352808852203,0.5994758182545803,0.6008565408356855,0.700649927074961,0.6166597557242984,0.535390479078212,0.6173473054173311,0.6169525007978838,0.5998765259783299,0.6195387294384875,0.6308545202641965,0.6131747443402155,0.6621352823285778,0.8573244858716623,0.8674860867741591,0.958750280849867,0.7381158528329477,0.7167962119183273,0.6349103946757181,0.5913684482644409,0.5951356619377078,0.6331280759541363,0.6706518767719597,0.7129594787283307,0.8002717417400067,0.7333009505273556,0.6820494887276386,0.6283757807990101,0.6655467790260309,0.6503783292155759,0.5817278664490809,0.5978909298494484,0.7798629565335141,0.6959249978601167,0.7144939848082162,0.8034457275656053,1.3572334163247695,2.048287433176526,2.028792365198236,1.0336225188166783,1.4013788078415002,1.6101535510818044,1.0941479057945473,2.2414512226464045,1.298353125330799,1.1524108059498124,1.7120428106878514,0.8792380187877598,1.4414697150871123,1.1379417290851441,1.4285461600551819,1.225510918221154,0.8693765468724444,0.7189989911867406,0.6887195102799705,0.8436839316047312,0.6422110454019663,0.6310356642611887,0.7614924558805602,0.6698793235804205,0.8194611566646036,0.686869705632304,0.9068406296614754,1.2048301935516257,0.8536289378833951,1.0364733452650476,0.6828997185411531,1.061136054954003,0.6363685788269796,0.678558295657894,0.6645075696988495,0.6821098486810017,0.7019655140943364,0.7673563669454122,1.039007140525676,0.6608499408756391,0.7553974886474469,0.671036098499006,0.6551374846661238,0.7302623856184325,0.6404233073974053,0.792637132875862,0.6933889999049572,0.8380827202340384,0.7658747886268354,0.7112763139427839,0.6970526246934782,0.7617753636467592,0.7323371135664112,0.7336252372390316,0.7477693436543953,0.9295017494739242,0.8142011493658413,1.0017264215777586,0.8083363607381088,0.933960655404374,0.9074923731320702,0.8945254471229147,0.9790245085402884,0.8963129656983189,0.91949819204026,0.929140588708062,0.8706635075188588,0.7443134383977223,0.7299382155589472,0.674681036385076,0.5981728747999083,0.5497880120468731,0.5787812083128191,0.6774137235683755,0.6521532530210488,0.6315013294756304,0.5878981191725747,0.5739405892251042,0.5533066141590739,0.5377008821785764,0.5999790246406502,0.6218312109765599,0.7684686402440084,0.7056351106165473,0.7624145316567846,0.7950542421658924,0.7750657585388486,0.812739639206074,0.7802676445577122,0.7879149426110306,0.7934485888483214,0.8584295933864221,0.9583381804710469,0.7385882884786229,0.6441215576275499,0.6530097758784335,0.90926474004367,0.8320503506654474,0.5884159878993325,0.5919274239803519,0.5866285046819705,0.594393453155951,0.5663285954001658,0.6354818190764295,0.6999314959114264,0.7661989998560502,0.8778369965997018,0.9541299515736862,1.1241810853896488,1.699660200351487,1.161911325198973,0.9346257361241622,0.8489925495785835,0.8982153545643319,0.7609614908154366,0.8016034657380017,0.7410539370036707,0.6234795285019402,0.5532667164923771,0.5848334042112917,0.6724799251383803,0.7410770439307364,0.8372699116592994,1.2547250554557199,1.3236189116619574,1.2463471081022361,0.9063157573702607,0.8207668007218276,0.6960376291798149,0.6768991564273009,0.660196675875267,0.7484797573502451,0.7300540786246525,0.9354894813630589,0.7265684971202362,0.7963318321509919,0.8607402551382781,0.7445645713334825,0.7297834594666146,0.7267737555282494,0.6869757042779361,0.6471782750026785,0.6400167894224567,0.6828182754991372,1.3710625713070492,0.9349421552606317,1.1366709821002488,0.8802561367853813,1.195251600724971,1.112854685460265,0.8685950843965959,0.9419868163034336,0.9668062588484092,0.8408298645160323,0.9016419742587575,0.9214495881660049,1.1490358022179568,1.2809074457633636,1.0699743194333953,1.1777463119125577,1.511327940573052,1.5746070283645524,1.422431350895378,1.5526314339460505,1.9748423239159134,1.8148754611888478,1.754318898519605,2.060980382252742,2.2543094766821197,1.9780025771644563,2.095535298063195,1.749018350440908,2.275263699916793,1.5402712497685758,1.613959556286769,1.8778019949654636,1.8667611991153066,2.020562656174748,2.104898275248824,2.51933544888327,1.9183320273306363,1.8439034125313662,1.7682605543689776,1.6225889388620245,1.5318709922463916,1.3722974008016084,1.3167961993239379,1.277105523952953,1.3000265509730629,1.0951419925519168,1.2344998779318697,1.2389172962067312,1.119591010276382,1.1752276207698604,0.9810245594334759,1.030060596436154,1.1759681118528282,1.4769396494490878,1.6149937775813288,1.9191435614501202,1.8610733066087712,1.6488142682729903,1.9195637152830956,2.0930317150607083,1.8762645315364674,1.9288396162076915,2.311808916011719,2.4285360837338157,2.2312302342895407,2.355369482613841,2.6407733423980893,2.71780138518304,2.4470244719397307,2.525175081047357,2.2684651005614143,2.1770336931537324,1.9650885420516908,1.8985380974122201,2.0044658099269577,1.7708161838460337,1.5975914977852186,1.6417815926030077,1.6228506741844047,1.3488503281365956,1.4085311719559903,1.5787461299167391,1.3141573546116112,1.1823480376001014,1.2729804930806268,1.4442023434483495,1.3168019965161035,1.5229230379405672,1.3781558207742457,1.4904535093992062,1.4822560387266166,1.1939857355805177,1.2575338220287822,1.3364872223806024,1.1120289796012115,1.1776046157960474,1.4060700038565934,1.7432851318251132,1.1733652538921815,0.9250052029122123,0.8805365335423927,0.8469886232202974,1.1279047184608442,0.9639653081708118,1.0391714093403983,1.5332578221769002,0.9367689617074373,1.0066738383106317,0.9720681983855203,0.8988610875198711,1.2567695834980588,0.9874653758976117,1.0093470036577057,1.1618710763290225,1.3637420894689487,2.5356120112785945],[2.0002368633717857,1.645427530905788,0.7700872791551104,0.4376257718408935,0.5279890628162158,0.48322544451458227,0.38037434082718985,0.4003926474852394,0.3607410810470711,0.3433178279633727,0.3618568063595488,0.45956088154564034,0.3717333283139809,0.39289368058676016,0.4962704234135826,0.45046740243931205,0.48895189788090343,0.5438687006979056,0.6275693942113483,0.5580713407540117,0.6462693400049636,0.7746935109845435,0.8548357221756665,0.9762709749478402,0.7130561917117016,0.7047090925446565,0.5784303052189511,0.49950640759511183,0.4761683959106375,0.460193757180454,0.5791831137059181,0.5407333559297852,0.6243495636595243,0.6169840110341712,0.5202132289143903,0.5029421524971239,0.47030548465450334,0.4880121313233275,0.4548430993731321,0.4563655053372667,0.6872734404667757,0.6205355480306436,0.6216123717523917,0.7176304313777752,1.3275276579717654,2.0153267108265362,1.9646706312863853,0.9156215799738995,1.287181399479205,1.4702248799580993,0.8853234205645332,2.2047957700075544,1.2720522013633508,1.06677794636205,1.561469118058909,0.7666601307209112,1.490174229850377,0.9951021474751647,1.32433225787578,1.1897332775698886,0.8366880037488438,0.6827438561549729,0.6772460281165659,0.9001735342566142,0.652134476793783,0.6201899515816504,0.7717658125329377,0.6609214405193676,0.8618643247630342,0.7004249319774961,0.9414514112961947,1.2720103977269106,0.8949518037917455,1.0742405846171255,0.6797071264515854,1.116666985059297,0.6367842391980633,0.6517395468545755,0.5947606861494895,0.6204481909401964,0.5652750428032121,0.562414410503855,1.0063783752665472,0.44658030601303106,0.6577577055226674,0.4722822866324993,0.49067141901966466,0.5420825956263067,0.5497540214132396,0.6951896138911353,0.630539857198355,0.8342383519713877,0.7117575718662836,0.6296546636231666,0.592888777335667,0.6855036611887967,0.6266291355511101,0.5716979879904349,0.5410982230971403,0.7332193662125298,0.5407160213028724,0.7277032714252117,0.5035428558960843,0.5810003489171972,0.5899531253990403,0.5453784826181307,0.6599999227324043,0.528097847265517,0.5486224752341807,0.64167986275137,0.4708394064974386,0.3817767759862395,0.35158641915268873,0.40914089805419607,0.3845334101346047,0.430144808707276,0.47839995991438466,0.704266501695421,0.6699615515356804,0.6267760687367117,0.586740754033337,0.5351784004259298,0.5719399386350157,0.4146707551216703,0.36568584469623294,0.37686460007092154,0.411960698253205,0.372341509151558,0.3870066544262306,0.45301774044854726,0.45157204375958754,0.4436828797257291,0.4774079365065885,0.4902487413980848,0.5366414700841066,0.6606214053786538,0.7244283710704683,0.6017636742656473,0.6428182314151736,0.6569618860908708,0.9751527459308911,0.8826945416561334,0.5801672784923744,0.4953627348478171,0.45698695042423326,0.4405214403556857,0.38982117760780355,0.41779918643901587,0.3867474101399122,0.4453831412087898,0.48646024243486136,0.5757814703304124,0.7861433657978486,1.5649153772684616,1.0120881778189195,0.6223390450480132,0.5214627910930802,0.5340281527963427,0.445279594004045,0.47926649503043484,0.480240628665508,0.4036579118641816,0.4040807406576528,0.4125101056406563,0.49426037593116445,0.7326530900555346,0.7079675519182902,1.1737924127837185,1.2095585931316024,1.1743262733236162,0.7752957577757525,0.7168170273444244,0.5090273935771256,0.45094089475624893,0.36994176149200364,0.44349824474480737,0.4413528789827748,0.7213627183040272,0.4270522842918155,0.5143228353635919,0.717503016107126,0.4386497173696217,0.45496076921022377,0.41671837430173175,0.42961044598665576,0.48776249667594096,0.5195759003329856,0.6788842829281528,1.4174932110370781,0.8831163421002672,1.0977149805996271,0.7417583832786435,1.012234622871329,0.9154029481263318,0.628168821699365,0.7550184291698968,0.7766655569124679,0.5409267960669534,0.577175984640014,0.5432833381470532,0.7819634378300437,0.9299270105143858,0.6991860190186224,0.8347376295093757,1.1944837834558026,1.2603777741731814,1.1731731260582925,1.2640091503309616,1.6839390233953917,1.520779579481646,1.4696789107013042,1.7813756026971366,1.9769131047884654,1.7444551174482812,1.837505359609885,1.5023943386489582,2.0036291282291643,1.289201442972235,1.3399974421216088,1.6039098065719999,1.5700107884746899,1.8327945547061297,1.8410603604299267,2.2419240675817176,1.6386055241331252,1.5350365443625298,1.4277067851981697,1.3065167748591302,1.2103403524383305,1.0533862996994778,1.0817759757610093,0.9732486621028993,1.0543103450904827,0.8270468353969471,1.0149642056120094,1.0261533986104507,0.9060600617145271,0.9319670321118563,0.6514405883901072,0.7011165121463089,0.8467933257332106,1.1501496308731036,1.3051900917696468,1.5722955678153594,1.564473086621505,1.3187197624436133,1.6203544829432994,1.811756272615701,1.5680047913214925,1.6523463609529487,2.0539880811262807,2.180668516734137,1.95652872341842,2.088213150004613,2.385168242933244,2.4458380824988533,2.176375602905185,2.2566548989206447,1.9944122073501716,1.9024028209183732,1.6852248777414722,1.6141783678250636,1.7077297957888473,1.4674890232382192,1.2841029972756983,1.333549734373171,1.317242468090922,1.043373492630453,1.1016441842414635,1.2962689125072515,1.0624808260805496,0.9252406188550637,1.0082369810364282,1.2053793241851347,1.1224154912800124,1.309722875032412,1.2740802510721678,1.442270973208473,1.2908966262729087,1.0126335994547693,0.995347666168022,1.0144874539035202,0.9390910165056662,1.0185183254920638,1.3126785394929654,1.7018536117449345,0.9541866218184539,0.6412414469471511,0.5428338728388735,0.5106615458423573,0.7902586048664763,0.5139936655760038,0.5725495203543866,1.299473749881156,0.47556295035283164,0.5412900816555619,0.4697223128395524,0.4039584185880702,0.719773377054835,0.502263975121189,0.501550658190519,0.6688003100598172,1.0489796749148412,2.442616958116666],[1.9062859199105298,1.5126326879558767,0.8102049088901686,0.47902301958946425,0.5242077730354632,0.46574968231488634,0.3706455130141414,0.4125727327134115,0.36967203248434444,0.37069600593856433,0.4163756129977609,0.5127385592970218,0.42777164674989815,0.43177392635476824,0.5769395444764573,0.5413774987720028,0.5337305567467205,0.611168554186483,0.6895334666181251,0.6175333993713112,0.712023524024679,0.8389682019719596,0.9156273258614549,1.0058580182463859,0.7283316200412943,0.7374995910638218,0.6181769817013909,0.5457535549033168,0.5419710751620691,0.530515332167514,0.6442421885273008,0.6280040652158371,0.6996609637253146,0.7028333459475418,0.6063098914353426,0.5659970762039764,0.5457833520162737,0.5461021751104929,0.5080907187972213,0.4866842678559191,0.6953424972104494,0.6661017566018664,0.6840273550901144,0.6928560349427406,1.1877574532096749,1.825426815908323,1.708316110075102,0.8096235799813832,1.1863459622239496,1.2514720731622209,0.7601217768019904,1.9565604629477766,1.1405330947160803,0.9777091090949832,1.662324113372044,0.8483303126587423,1.4766932738702994,1.0061052457220137,1.460259877334566,1.1186614406258368,0.7907100387743851,0.7149239930314895,0.734986590422016,0.965605655003502,0.7017937574833746,0.6673665851946984,0.8394954172433796,0.7233517736198886,0.8899938882801968,0.7567285611017736,0.9832138735635565,1.3311254337518008,0.9403537646338855,1.0981151858493674,0.7405203819882041,1.168132343440822,0.6953982854277841,0.7334105149782263,0.6731726105232501,0.6878491756790605,0.6651808927095914,0.5891820704487187,1.087679343817207,0.515889246557434,0.6878848181629522,0.5333430171885992,0.5704232379845983,0.6034909875392288,0.6171479057649047,0.7872129933320132,0.7128513183648411,0.9006388890052,0.7801601566154208,0.7180773869792455,0.6772997079384686,0.7633853464039947,0.6877280315667986,0.6516371984279603,0.6286811416430318,0.8402472157245386,0.6267440397638753,0.7782629281272697,0.5841393915302878,0.6361449753328752,0.6107067733704302,0.5551967435167242,0.7024954741701004,0.5134122759574388,0.5377123683893406,0.6408031430057484,0.4464832877950946,0.38791705302474894,0.36672609886712204,0.4199582425505854,0.41603776161172185,0.45508070077772433,0.49876091872976974,0.7000154855595216,0.6855698150633351,0.6498989068398767,0.6086697004103525,0.5511278856979805,0.5567469037864012,0.41657502798795804,0.364987528888046,0.3590943682029796,0.4150809539956456,0.3777231696789509,0.3721432276169135,0.4380133820848429,0.4208165006331788,0.4349273147589974,0.44254481186883177,0.4883206373750223,0.49102504387899276,0.6032009592709732,0.6698676288734262,0.5722675674964567,0.6364837379230452,0.6048728924691268,0.9468790901073433,0.8365610203356347,0.5782430374728743,0.5137575391122933,0.4848258022430873,0.4808265580668961,0.4166560106422809,0.44188969794102373,0.41808505045190447,0.48355574082978114,0.5152501068044458,0.5992586184965499,0.8443535058780557,1.6354756407724662,1.0339120312428582,0.7012602607377175,0.5890123488112264,0.5823054269370826,0.5115786125072179,0.530592130211032,0.47067541450694833,0.45293467929669323,0.40568780130873194,0.4400421975673746,0.4946773144443145,0.6874814970698606,0.6285186584834518,1.0569993476736126,1.1203286556431864,1.1071582607056665,0.7047468711463796,0.6596627863259301,0.46261580481191794,0.43897296621959886,0.3990596460741919,0.48863589679551117,0.5028482932619782,0.8058309180421896,0.4714189341488193,0.5730455180390535,0.6615755511834133,0.44739989082437304,0.4480700452242616,0.40831172625902823,0.415616321952003,0.464982676479759,0.4884970941122686,0.6432746233337847,1.3778574101348486,0.8232350634339506,1.0156762337516667,0.7057891867760026,0.9319122226748359,0.8270700526317298,0.5609603839133809,0.6649820251232968,0.7645715396130665,0.5220944228144127,0.5563434011927406,0.5452928748546625,0.7990316594735065,0.9617892979801029,0.6918903081127076,0.8145913584722915,1.1984990524919066,1.2280623855702708,1.1242200977113816,1.21869506938858,1.6724337971658365,1.422343962121496,1.3754358427209625,1.7174369907909812,1.8797861172196244,1.6320117280881499,1.7216837732975478,1.4082373314632264,1.9559823127364846,1.250848695339412,1.2995079895686128,1.5919063158139284,1.5814677608688863,1.939754825378716,1.9123286861196604,2.335739560983088,1.698477450005031,1.623723870313229,1.5128616454597226,1.4118843260920595,1.2658769026039285,1.0896151920812691,1.1581992664599514,1.0143695974359972,1.0800426106831729,0.8494831544476377,1.0125374190616079,0.9340621985308104,0.8431598242066937,0.8499459988932062,0.6268635387437781,0.7451767394478116,0.9215056786276073,1.2265199262757198,1.4223214470499852,1.6987255803313528,1.6849886030708814,1.4100459291156435,1.7247731766741583,1.9315722407536418,1.634940095837576,1.712560313299565,2.1437804929282485,2.2517189665727964,1.978204637777562,2.1486602766182097,2.4572478288498236,2.441832575271976,2.185371624048627,2.3064559021150735,2.0229395120654776,1.967074869944773,1.7464731847019008,1.690508335911622,1.7594065698561046,1.4699520939315271,1.316271537846744,1.351861182518947,1.3035112576694738,1.025511547805372,1.0958344878481892,1.2511792931017531,1.01745937532996,0.8843595478216641,0.9637597324320832,1.1355104786711385,1.0853736008479196,1.2662748718288328,1.2269558068477069,1.4453262865155365,1.3020358161150694,1.0093645593877458,0.9420873021036962,0.8899785486906271,1.0087430150814183,1.080595134824883,1.338234938460354,1.7165802861566637,0.905688740021458,0.6433251068833239,0.5250694706144717,0.48709539316804185,0.7063227569426808,0.4838072402454793,0.5458752300746571,1.3596483891059012,0.4540278230443166,0.48789743021812654,0.5076707451976809,0.4244693766854092,0.6312099008141253,0.4809241501376308,0.544024903897879,0.6938188363311838,1.1520944717943764,2.7248892188987015],[1.9493238798655736,1.5913215618277217,0.7346826253236656,0.5620805646695346,0.6445712220645858,0.5454452512657894,0.4557027758784156,0.4900121155030088,0.46583698742748386,0.4628773265495925,0.48509965629071317,0.5577796277398482,0.4910306191138766,0.5115828288519686,0.5981672689862988,0.5756340881178065,0.6238012952779828,0.6701356456461433,0.780482162202747,0.6946639395302323,0.7934800064663144,0.9122790047899434,1.0366287834232133,1.1555636167172736,0.8307152267562826,0.8286602027745769,0.7050148498107969,0.6299755763424036,0.6157015673966897,0.6144074343467116,0.6932600607716055,0.6601721396902375,0.7612729728061578,0.7442992114572041,0.6529357972140301,0.6391605506282404,0.6058692770573262,0.6176054868176973,0.6051577269604497,0.5855765329929391,0.7375594662736741,0.7569473927775109,0.790828970321875,0.803985440692403,1.3393279285108608,1.9701538116877808,1.8918954217102995,0.9419361945946335,1.285122342264485,1.3834765105021536,0.8690752175406012,2.1474546860143833,1.2957282594647384,1.0988323036095682,1.660453861976396,0.8553144590524181,1.5138626413975291,1.024400129885874,1.4321849903730244,1.1590532946878018,0.8605003834881446,0.7851543993719055,0.8059896356161395,1.0564762358621986,0.7880912454872182,0.7410053832706414,0.8838133254311664,0.7847686985518418,0.987671850348097,0.8184011245388458,1.0222411411096324,1.3529040526994427,0.9596104800280129,1.1740104990824318,0.8033643063085374,1.2309003175204545,0.7723822249633466,0.797312952404544,0.7358535703103,0.7428845486023756,0.7108407463723612,0.6353599723200183,1.038240909881205,0.5323403492267492,0.7844990389543975,0.5824429190646765,0.6308508415312762,0.6655587369328317,0.676356052346313,0.8210818888538155,0.7708623526700644,0.9619509451979272,0.8355830262161246,0.75839691603725,0.7145302650415948,0.7922428101936672,0.7015539087026901,0.6803639568609609,0.6623309160351264,0.8303818320855817,0.6418328777087242,0.7954619495915445,0.6157178988046212,0.6283979615069135,0.5948684456847116,0.5811591526397655,0.6828556078463567,0.5466126247063504,0.5643005467481218,0.6786351276159376,0.50723083021512,0.46031439022323595,0.44238782213964467,0.49946588592789565,0.5253484876185865,0.5525329573873601,0.6018365512011034,0.7410708283034882,0.7965144659258336,0.7427250418291371,0.7006674578200593,0.6358317559358343,0.66665527369855,0.524097169906395,0.47674904099243004,0.4652263204709915,0.49470752172862276,0.4844390265920707,0.46532502687744715,0.5181200177439373,0.4995679934469555,0.502819801758485,0.5196698470293478,0.5464089875279892,0.5775885969041415,0.6560592880144812,0.6655394571962542,0.5773679766347138,0.6690522767405774,0.6916822204602193,1.0267987620486208,0.9330714309214083,0.6685203770126636,0.6273198819370499,0.5990914726082471,0.5842623167458108,0.5224189115866169,0.5309742550814698,0.48397955130408055,0.526212104446153,0.5659887268432772,0.6116686630259931,0.8176581262249151,1.7073734424715743,1.0584183837950853,0.6942102828523993,0.621714843333984,0.6074989331148586,0.5571520242745442,0.5600215030499315,0.5617308578269697,0.5332295796686869,0.5190010896565138,0.5675325024527402,0.576672364933217,0.771106293708653,0.6730252792147425,1.0784751228869955,1.1025907463925901,1.0858171303722814,0.7315355291334953,0.6844607070031904,0.5262012651629373,0.49815858947535896,0.46897002896603457,0.5345450375095128,0.5750935218807728,0.8325067244716244,0.5334778155204499,0.583991494675617,0.7376919224614782,0.4872554565167562,0.496052752044625,0.4867839945923402,0.5152358665487395,0.5816083203500441,0.5928941272154508,0.7542571939993173,1.4330006254127503,0.8850159571206508,1.1144845450777736,0.7721741909851828,0.9575843278158688,0.84088681062369,0.6233666362726644,0.7507819299980488,0.7694226083700083,0.5791811707946719,0.5840145693297034,0.5799710082063491,0.7359551292435194,0.9023455675908731,0.6815770250055473,0.7767463589874687,1.1194881089523125,1.184828979188729,1.113398720275168,1.1709632050008114,1.5976906503530535,1.4112332592636183,1.3587378673881474,1.6672687277046565,1.8501773029298108,1.644413869488274,1.7144866144321946,1.3954287792917968,1.901965864058524,1.1874229522994166,1.227969398575887,1.4992522688030216,1.455183178848856,1.8240982923596216,1.7603767229172467,2.197017939714186,1.5592554990701597,1.4692373111387589,1.391209698412723,1.2812983828961704,1.1266137499964202,0.9783339339861431,1.066965517968424,0.9005908579783423,0.9700410879684513,0.796918130849616,1.0656924863124317,0.9218994447616313,0.8703961331569616,0.9308104019767285,0.6375812112937103,0.6888270146946804,0.8289493048795087,1.1180590311867977,1.316404468024475,1.568154025862604,1.5960313065157135,1.304178640959744,1.5912635548157845,1.8277599057171414,1.5477146298068165,1.6113842446468347,2.036029149719374,2.1592433846447046,1.8939253702336833,2.0406724109025567,2.3497563321375994,2.359049519880921,2.0965506157013882,2.1976361263640833,1.9140748963121532,1.8429763650661986,1.624748580036615,1.5512531669725045,1.6315944660763124,1.3680830113346851,1.1980802562799153,1.2272381784726085,1.2036438175583026,0.9395538566168397,0.9848891043818868,1.1666630428868296,0.9608739182204646,0.8584424295286813,0.9287802298683095,1.1139231007237325,1.0532257990939493,1.226204205828567,1.287951044471353,1.4925983406016183,1.2307769609567185,0.987982056598874,0.9372738995766784,0.9185259038998307,0.9839156975975037,1.0878271218417508,1.3710961775210615,1.8044708611307907,1.0532401315600395,0.737931158551652,0.5830336072302122,0.5904496782242648,0.7612970458515619,0.5520216856095351,0.5995080433239547,1.398904642104912,0.5300865729235297,0.5620702191413091,0.542707366068474,0.47355202947801894,0.6626908095827639,0.5416136345527046,0.5813123572174947,0.6566459991109952,1.1428891849505625,2.819392984305058],[1.8428625782589756,1.4533046820412898,0.7393761294441411,0.4638090136278596,0.45054574013315046,0.4030577982315989,0.3051583840375895,0.3739277797067867,0.3350679132961775,0.3482415341680907,0.41165882320874947,0.5077929335229299,0.4271488957351011,0.4346913527853194,0.6042022314081215,0.5710240393330269,0.5490002068145652,0.6473880657934875,0.7262832225447914,0.6450950326480701,0.7486058879339254,0.8646226598423246,0.9490034781989628,1.039221010686676,0.744002643989817,0.7506353179233425,0.6283191128929434,0.560428086741667,0.567380326437824,0.5569022465868428,0.691189588949299,0.6537100385870571,0.7510112697438928,0.7525749083227931,0.6510923990096057,0.6221712639723157,0.5742527801216961,0.566128745173663,0.5327068046729627,0.5232025106656004,0.693178282949986,0.6822444285477324,0.7145072238316119,0.6796205051060064,1.119267873102273,1.701989431832472,1.5430906819029868,0.7801233450405372,1.107639845074227,1.0874636394898283,0.7415166191170426,1.8613616788741913,1.150881338438852,0.9642517811963949,1.7118347208867366,0.9397325969626807,1.5091225711907104,1.0502087860185259,1.53341997674266,1.1340776418016254,0.8260574103055643,0.7749275115311945,0.8039090394774808,1.034430672095315,0.7640564296540387,0.709720256628547,0.8663438150109862,0.7734106737755766,0.9190449017693667,0.784575173994498,1.0154489095399608,1.4287584571123666,0.9895243504184525,1.1668543945245409,0.7835755032663018,1.20335643703933,0.7519500962275016,0.8019742379716285,0.7348809752939893,0.747169050922669,0.7192302841496082,0.6211097972503465,1.1447218706372952,0.604353346439814,0.7046256948383655,0.567919428559625,0.6026540199585926,0.6507827861551746,0.6739598438661969,0.8409840968165253,0.7699758471407102,0.9497096538438851,0.8356131478684933,0.7777483236702982,0.7171137594936378,0.8031740398534234,0.7100888419032717,0.6844620117080169,0.6538817738156659,0.8523483173083187,0.6481391963803348,0.7831618764815966,0.6096583209337951,0.6262634711845549,0.6101158525392913,0.5451780142301877,0.7126431699177204,0.48746915159358317,0.5028804976888501,0.6859770835516293,0.4338714068268228,0.3722034607326771,0.3232810948031525,0.3932809070345451,0.42553550427574593,0.45015603566182627,0.5055722237614876,0.6906639389721625,0.7157813596986009,0.6860383821427181,0.6400507779278279,0.5669988756987613,0.5451789841774057,0.40051800625632555,0.3328472200133998,0.31460248629734533,0.39443283723248657,0.3726148984157253,0.35105038738761674,0.4445581688467826,0.4079958857228051,0.4194086789896934,0.4447536548389054,0.5332553805469202,0.5035473926995656,0.5876600626754226,0.6418338420053277,0.5592807321332542,0.6437563459823314,0.6045822303535726,0.9395724354863692,0.822809773739386,0.6070259495162218,0.5254288881398402,0.48293363420004115,0.4901556110985141,0.42007588844204313,0.4382886188716144,0.4027100122657364,0.4354738861052417,0.4683078100870794,0.5571203878103969,0.8451192545601793,1.7039108452388205,1.039346381871302,0.7023621969491426,0.5909963203781587,0.5733356399369038,0.5211128854517623,0.4991701286908871,0.4843410850426047,0.4698830991617777,0.43096252029035775,0.4749166711138192,0.510147186681285,0.6753442852043209,0.5990434131444349,0.9605375623920662,1.0528066820733317,1.0616059797728679,0.6904464111461253,0.6501945211939496,0.4751131576256968,0.4569328779101514,0.4280382963558788,0.5295408833963549,0.5288599520714803,0.8375632758513472,0.5177444674902996,0.6000790729346227,0.6899964829634879,0.46343197758673826,0.4601173189259972,0.4129117975006933,0.416472264626194,0.5035444843306319,0.515468759794449,0.648406528003223,1.3272240445264607,0.7826278047824362,0.9971900193003446,0.6558538056007127,0.8743927529625622,0.7643538029139046,0.5386535164299009,0.6085862302565322,0.7797581818453974,0.4942226434542761,0.5112963216590359,0.4941612813386153,0.7730202330284446,0.9551091795073872,0.6690174096321402,0.7921650860709354,1.1832034574024204,1.2034709007862465,1.1238420499534827,1.1898148919368574,1.6270205158312472,1.3615313816274708,1.3233537233130186,1.6423492355173057,1.7763844957579085,1.6084685242766832,1.648327774880702,1.3554924697428579,1.9132566658968913,1.2203033825193919,1.251647753046756,1.5361044380494728,1.5164169791698083,2.0003228646191316,1.8494625697729385,2.316934838841391,1.6938132997480597,1.6388996821231872,1.5317227255754686,1.4495508031378068,1.2628056073425236,1.0764993777507028,1.1592361923792964,0.978645982407751,1.0407813273201751,0.8093192526177339,1.013487806791992,0.8253799603770147,0.8043053232501677,0.7901602837179814,0.5959733511271219,0.7679731710104281,0.9386584945819658,1.2235620415373505,1.4468750339885916,1.7129476352686746,1.7214674303403312,1.415768951888427,1.7318267649342742,1.9657764761292462,1.6421260561562545,1.7091465521891291,2.1360375207582156,2.2292929732442213,1.9369567520154483,2.115259761987027,2.415614414032529,2.351298497436605,2.1144614211107817,2.2486952150806108,1.9723163889315944,1.943093975926187,1.7329006704374235,1.6864752160293797,1.732655588049264,1.4351133502092313,1.3001867061437475,1.325035379767078,1.2694126521789397,1.0057143322592634,1.0754496531898694,1.2074176618448715,1.000383577222948,0.8697664139067717,0.9445317831154446,1.0855361885693078,1.0625078378288155,1.2319185888624116,1.2020265321177197,1.45064971404896,1.2480340560922616,1.010763315989788,0.9143753028109316,0.8297480069564344,1.0278486492126822,1.0648094054437838,1.3060417420940988,1.6808313383369966,0.8480034328335433,0.6087816737606822,0.49073966432434424,0.4319407125331724,0.7156895577127578,0.4466396072589143,0.4848270591679266,1.436372243616906,0.4039230199012862,0.42668365192384694,0.5299681359927818,0.3735724110707494,0.49732542134653746,0.5166295194786106,0.5626641082742718,0.6371178682037891,1.1757445371411221,3.0126661262946235],[1.8916166539945336,1.5225981695043553,0.715383091554343,0.5478746302683422,0.548197532475683,0.45106747156809224,0.36966219563129804,0.3777411105595454,0.3754354440488924,0.43133300811275355,0.4782379071210125,0.580191684498495,0.491646677252537,0.5196112566494515,0.6563935181731256,0.6300785128428575,0.6351882461931687,0.7517316974325224,0.8616609953453218,0.7863903624848421,0.8982960153450616,0.9799818299139307,1.1226958776663742,1.2138863728329166,0.903714412577391,0.8978925667097495,0.768375969923939,0.6781958083555096,0.674256560395415,0.6393596948206292,0.7626864191692936,0.7084639150018239,0.8372813392377747,0.8247335840559287,0.717900929476213,0.7126494763942949,0.6632184322495785,0.6807429795257111,0.6698478731991682,0.6580937761762671,0.8018143533725204,0.8233926117062554,0.8683312089662157,0.815818265736928,1.2880967252896662,1.8478906222404985,1.695381189756499,0.9145202890419355,1.207295732212919,1.1637103747779067,0.8232451443635609,2.0003203505555973,1.2923608550399297,1.0733041546777315,1.6781177741103472,1.007148415358473,1.6054094238097156,1.0860080053352952,1.5244946132498434,1.1798586864024165,0.9507696125917743,0.9316382789392456,0.9438334753622176,1.217776834373236,0.9526392612290111,0.8434656884577537,1.020444942715176,0.9045819963482766,1.0571961517610053,0.8943879664110608,1.1289545286693132,1.545525684954974,1.0543683370296988,1.2830928051165456,0.8959652283203879,1.3244688715100685,0.8863100489718263,0.9106317258457975,0.8504423223221057,0.8475639042603055,0.8074983689267586,0.7209997553977179,1.2094653032199938,0.6947659920696868,0.8108027061455797,0.655599889728765,0.7108519543631071,0.7268075650998168,0.7817682872875775,0.9133118782868577,0.8644689017385956,1.030362200625071,0.9089439235320916,0.8510279577358459,0.7762937900340267,0.8444061832345723,0.7403357446166765,0.7193393409644869,0.6909062330190957,0.8510230135232097,0.6942555277200944,0.7930507099139191,0.6298149728295388,0.6211743659912079,0.6026026795468702,0.5301274730765676,0.6725852808736043,0.4602772155361998,0.4744764640974823,0.6926923000935106,0.4273673041223507,0.3845275297234066,0.37709290058260275,0.4352679266679545,0.4985739361000613,0.544872665555491,0.6082593968908433,0.7662878425114866,0.8497474612781895,0.7840888032875305,0.7404225083252169,0.6491570784198302,0.6746671035402575,0.5113542110396369,0.4081655094841477,0.4144298033301639,0.43290555927510316,0.4199263383563799,0.3627392931097578,0.4417793214707183,0.425091199223967,0.4363310156480368,0.44867268743147004,0.5384219628416878,0.5237105560088813,0.5906279304788616,0.57374767089461,0.562320675531156,0.6952472663459014,0.7052659442494463,1.020229652801374,0.9278852742859017,0.7502427096367681,0.632391751623647,0.5971074500319199,0.5905695799655495,0.5247419876687556,0.5098178302199152,0.4508815916609843,0.4645753903743148,0.4756654962886647,0.5352154844281688,0.8097980553588278,1.7447883831277604,1.0525970440301966,0.684155297292633,0.6072633213722403,0.5792522366593857,0.5502023906784349,0.5198415138469491,0.5436775798557267,0.5559844525630987,0.5227999209413828,0.5852380524005152,0.5874793985458473,0.7365418575132777,0.6079801064563279,0.9421008455081277,0.9874571114678391,1.0103902219162824,0.6796730456903353,0.6694969919360619,0.5302502686111992,0.5092586902647995,0.4893392803053088,0.5543438505929448,0.5778198341104457,0.8467953749974777,0.5809101367538851,0.6267879992296777,0.6948563733767471,0.4782384584257874,0.49506918751175355,0.4659886786049619,0.49633008181704913,0.5810378919266892,0.6186720278346314,0.7390558645059861,1.3693800997841385,0.8345797343150821,1.040810631467215,0.7624027220802032,0.9300404330443791,0.8095816604385332,0.5527843313711854,0.6327580194227668,0.7393113683276926,0.47285572813538296,0.48680038695428896,0.4711388035940267,0.6677089377401133,0.851670879306899,0.6088673056183068,0.7209551088401039,1.0799863718680625,1.1217989037708174,1.0828480122965605,1.1106977300935654,1.5234747857153872,1.2967602663175277,1.2621844173729488,1.5609254005515412,1.6948341991001163,1.5720443182250023,1.598149585572888,1.315830633098876,1.8376797337976332,1.1654087936042326,1.1714702355209696,1.4417195792145974,1.3979884457912808,1.927329268378989,1.7220979691041691,2.190700109610542,1.5650177742102735,1.4914043963200723,1.3961360409915107,1.3117917422422616,1.1271750870299067,0.9520885137835766,1.0410604857665406,0.8612464465312751,0.9593589974809845,0.7216177525137123,1.0041874916378426,0.7899259866730597,0.7647006981712063,0.7694925266816072,0.5520459274693917,0.6705490307992461,0.827176255311292,1.0994294408306131,1.3376553888906781,1.603577782926409,1.6394804247704966,1.2992638066061106,1.6110201952016188,1.8662975950271976,1.549201986699013,1.605503093525934,2.0257777343885883,2.1226619605326746,1.8281811234240097,1.9998885019664736,2.2982991999950424,2.230286766311543,2.0021185543920876,2.1276734081979,1.8554862390225022,1.8193705340115007,1.6101489795019128,1.556999355806937,1.6076688882930572,1.324453750464901,1.175078335059779,1.2035937342747864,1.168263966305697,0.9173181484202709,0.9656880180474626,1.1387314798972115,0.9553030906219437,0.8305427317995809,0.8936469716409021,1.0554733951071993,1.0402812547232205,1.1945875648147417,1.2312794784465173,1.5020591397201262,1.2327442042543648,1.0192808477846516,0.8963337384982428,0.8169926504041678,1.0153588525893977,1.049751129257127,1.3130065365276649,1.7240427739174065,0.9183621485089016,0.6559861647042664,0.4900538706219952,0.4632779205223397,0.7122104335084269,0.4533727213594528,0.4899315660593113,1.41121986888043,0.43788420160779556,0.46140525880242916,0.5384020278088899,0.39955952892997376,0.49255020488828466,0.5379762907446964,0.5939029397273706,0.612698726022267,1.1619190626154654,3.1152892051774326],[1.7509732029431202,1.389252747705355,0.6847979732229261,0.5376812740613366,0.48136919458637056,0.40365772988516496,0.3217594374761086,0.3685651388057223,0.33916510219804497,0.37463505003840336,0.42857468193036735,0.5323147594552537,0.46756633925491375,0.4812770700335481,0.6662348288519285,0.6336374429469491,0.6138861775676445,0.7463440901136784,0.8466912780381436,0.7602496687433996,0.8815072808781376,0.9694398880354411,1.0856708393889416,1.162531101323999,0.8503671115105212,0.8544813966001592,0.7366174290751696,0.6533552424561032,0.6624862921311154,0.6312861430487438,0.7660819675222511,0.7067754879666055,0.8348080170638988,0.8271298307232876,0.7205038511038193,0.7110327220347199,0.6632801123028291,0.677615295407544,0.6553048043297456,0.6571444479219338,0.7847956765256507,0.8077404959824352,0.8597041493765323,0.7962161066331411,1.148773613606936,1.6679701654602168,1.4706131750635296,0.8985308612721061,1.1796002042677545,1.0591717247093801,0.8917836892468429,1.82296966456028,1.2324497692241123,1.0519943624142873,1.7371976952743442,1.0576654179586493,1.5956141688821919,1.1072905530369928,1.6134088366814254,1.188470327727765,0.9093871542520771,0.9001878036944875,0.9210140360307457,1.1767157967720114,0.9041400815100393,0.8276102821097922,1.0001700573529788,0.896974186885215,1.0264767379273658,0.8958145607888855,1.1274522411751065,1.5748948690177642,1.091081744687348,1.2780583776334364,0.893017638316556,1.278692871776271,0.869797307195266,0.9079946965063304,0.842908041387358,0.8480872713034139,0.8317665517365999,0.7201515763859124,1.2444308482764697,0.6986579312502862,0.7964856059536581,0.6548863149047297,0.7006249048990015,0.739248241713288,0.7770566517813934,0.9221681357431052,0.8681418596357974,1.0346173775545935,0.919903531397055,0.8597592921639784,0.7882486879590531,0.8591890788097545,0.7598159680189811,0.725123371873681,0.6829115759733131,0.8707957861297917,0.6823060143233887,0.7903121466336347,0.6361921226420706,0.6398341123250565,0.6194368993377701,0.54375068424016,0.6895563784944048,0.4895785869647538,0.49362944495954614,0.689364070416024,0.4263749753041704,0.3895798877247206,0.35367509104314515,0.41957900030059475,0.4753133785868914,0.5132504641746785,0.579947629940386,0.740309286311245,0.8221159220507548,0.791393162628462,0.7444408421165672,0.6402808640227109,0.6234685403110654,0.43534248510919044,0.3595873980413681,0.3540990582130694,0.3904955305727564,0.39506508838612336,0.3622917446951239,0.4537670533689573,0.3836539939465461,0.4178685148276377,0.43772418710801597,0.5712700293229215,0.5099985726745768,0.5531615948986217,0.5489345265803436,0.5512570428510029,0.676031942239751,0.6408548077623,0.9720005382277395,0.8832694443190721,0.7088156027855368,0.6007949847047364,0.5685021024329897,0.573795383824029,0.4909792567129585,0.48856950444416136,0.438118836980773,0.44684262608002284,0.4676652092420132,0.5410262349464481,0.8521557747086806,1.781295236637307,1.0556316812407462,0.7104878130072655,0.5913368988920181,0.580014627686667,0.5458668002069803,0.5265006899595367,0.5025373014443452,0.5540345507332544,0.5035579617413992,0.5761616822563295,0.5632841041615804,0.6913525281282558,0.5670567328689102,0.8578238957769038,0.9217742548065743,0.9672273554481069,0.6400560329110684,0.6254764373612253,0.47595310064558727,0.49078678066814124,0.49630321045802356,0.5695427737263598,0.5837992084793391,0.9065933251315732,0.5904054318717082,0.647496633376661,0.6830411502382144,0.4806674518917486,0.48279217775103395,0.45760395806950804,0.48105808868133637,0.5794661947979011,0.6115943195931864,0.7186532860883822,1.34228310928906,0.7980026726122706,0.9848995684340157,0.7109303764405065,0.8615628280673082,0.7388627346924606,0.5176713497803498,0.5429392075062707,0.7289529927224543,0.4380757581195618,0.44177336960846036,0.4546066059881081,0.6718803186641249,0.8618809348068633,0.6002371498369058,0.6967431858307624,1.068681480023717,1.0934285747031414,1.038521787105773,1.0677912116317567,1.4817767356684466,1.231772956601458,1.1999129879174593,1.4895430775412803,1.610979864013219,1.5257162756287639,1.5155439068110403,1.241763293903113,1.761891127274992,1.0793976423831566,1.109013443462501,1.3813920422637433,1.332160319488212,2.0075425989840503,1.689579158160347,2.16562098687937,1.5601532606187551,1.5236352984456736,1.4366296910062204,1.3741515327399025,1.1420951914764315,0.9524305047285931,1.0970414325133515,0.8780528664112627,0.9251588691004037,0.7117868663240895,1.0264117467884253,0.656965521649858,0.6793998097052273,0.7253299537017548,0.5000579845332546,0.6903735955403351,0.8679739437009308,1.1365545565913746,1.3914556800305018,1.6324913364844222,1.6795520570837938,1.3345447718987482,1.630675396860339,1.8954141577547006,1.561036073569415,1.5946000373892713,2.012129845287634,2.096323603622579,1.7862633217634682,1.965561975291173,2.2488700862655615,2.1540211937429197,1.9377852468202799,2.0715336528034998,1.8081138909648533,1.7922235504387807,1.5991579209449116,1.5590838725237222,1.5787470689224685,1.285873216907712,1.1654035809129857,1.1717086230715539,1.117506880840098,0.8727293508718471,0.9316972768028278,1.0608935186307749,0.8811657840284779,0.7569912038890456,0.8317706434167808,0.9837381620864399,0.9672518463380739,1.1190835245122235,1.1551890033303145,1.465395274205299,1.1219621942028781,0.9523403393543656,0.8312371017710848,0.7415767649752587,1.0245206630178485,1.0308893613735333,1.2513325645325426,1.6705580361536148,0.8295477370299417,0.6310169878101964,0.4354492349810549,0.40948627358934475,0.6924463866165433,0.4677319932763927,0.5303460846460515,1.4411799586132665,0.45222228103871587,0.46839263711381557,0.591744951493817,0.407324351017534,0.4263556944249213,0.587355853639253,0.6532418349710948,0.6394742283136842,1.2383333022958873,3.1874618435404396],[1.7064694220354129,1.3844768976196207,0.857186131318653,0.6771224804936528,0.6287457591959698,0.5905488990229255,0.540801298389732,0.5968066095714151,0.5688573441904483,0.5513496549386039,0.580583360743797,0.6495504143299267,0.611260877244509,0.596648439341181,0.7650463318471543,0.7447471626167261,0.702711973088188,0.8344730404486509,0.9251930737603546,0.8499860901036094,0.9616038039764125,1.0295175689144165,1.1654813294263822,1.2215402403376527,0.916036897000838,0.9219261476135036,0.8218082183255243,0.7575806907556086,0.7641240604541373,0.7468743707036285,0.8623140100836985,0.8397849209533992,0.9567303040410212,0.9569013109523434,0.85835802715971,0.8268680446939229,0.8069491164334719,0.7900288699982103,0.7704168246338092,0.7917012440544363,0.9122770304071042,0.8823729811898363,0.9389851043551771,0.9143803674232464,1.1958794332858196,1.6620406886741996,1.444814628870825,1.0213025828780693,1.2911161157118538,1.0936439412581902,1.0884108247511561,1.8325160350317784,1.385742304452387,1.2244257265356466,1.8217430498204574,1.187215722312008,1.5840019160039445,1.180258822979726,1.7280487302987244,1.2158458404713943,0.9952434679417449,1.0048520665382148,1.0321562959843675,1.2856101371830333,0.9996935545274289,0.9296337240135473,1.0559066830147923,0.9741139062972665,1.1158911304911536,0.9635359121312691,1.2403222032016823,1.7346411004522642,1.1916087896026561,1.3890451707236002,0.9834218624195437,1.404091071056026,0.9737902971325281,1.0192664489583088,0.9622042409790628,0.9536020570376198,0.9725938795478549,0.8770300311869036,1.3686639950727881,0.9040825599652194,0.9188575165222813,0.8004876379694107,0.81426700505385,0.8791342631670018,0.8869156206197815,1.015366995018359,0.9677955901122729,1.1229877788371503,1.01263800933771,0.9734930941660146,0.8919170295779388,0.9457728376435511,0.8737517632975151,0.8452856568142478,0.8276074860493752,1.0704573969521154,0.8439770066380626,0.9387858173559223,0.8119646258374469,0.840688804365732,0.8227925133790018,0.7239945600252492,0.865888986452565,0.7205783711579183,0.7020534856872059,0.8475906558479176,0.6572891981196609,0.617940670498085,0.5746032337188021,0.5456150197018755,0.5610195502263173,0.6143604674316133,0.6852334234029096,0.7862580671397544,0.8989886796745443,0.8798597223632488,0.8031477324935664,0.7124791748286352,0.7024416101780431,0.5531100111061231,0.5095685184770964,0.5099418773688145,0.6118949080765125,0.5973619826073199,0.5711640404621976,0.6787584756209634,0.5748745086350563,0.619843263225845,0.6347758153635155,0.7732472898575987,0.6884039196557923,0.7055674756020236,0.6454946982516839,0.6367618585842948,0.7375794864264494,0.7158388859539782,1.025966768938185,0.9380474680214012,0.7846051891900222,0.6890354582300479,0.6862359738452872,0.6967527044614943,0.6227221322750848,0.6367581089383902,0.6330264507271942,0.623955528891621,0.6696906580879927,0.7143006652369461,1.0425894180643112,1.990858515928692,1.1905660807415492,0.9017201128098981,0.7577434298138137,0.7688982707968242,0.7202476309006561,0.6784468449876226,0.6477076804811311,0.698026342011373,0.6452962075239203,0.7122880991874051,0.7683152414790894,0.7832968949404548,0.6970010672408783,0.8763308809131919,0.9491491408138123,0.998932183111014,0.7323741086207302,0.7089617707695864,0.6506970588554365,0.6694039000665135,0.6643957455234554,0.7216125511535251,0.7307824307243531,1.0197378392228456,0.7374032755797663,0.8122258370247074,0.7543906152458989,0.6705339056608206,0.6746515789907163,0.6539870178584843,0.680786963548396,0.7134686945855114,0.752292393605336,0.8468894457159795,1.3432641199194209,0.8754645951219923,1.0404271857206524,0.8758211405484246,0.9988752762657837,0.8984924702846776,0.7166518778509491,0.6780932634794562,0.8318972659830558,0.6055048317158116,0.6006375647174598,0.6432330865822319,0.8413835947440123,1.0214096991107449,0.7714692569052776,0.8381569105203177,1.1923490785992277,1.197986744536227,1.107159093220938,1.1478072899413247,1.5435282359923093,1.2805166422197793,1.2524510647683538,1.5212942420015203,1.6113085002139917,1.5803336007338722,1.540265390800017,1.2922856968423932,1.8078811657479386,1.1412142981903772,1.1780108956867028,1.4497531226172549,1.4309633316880832,2.180356742326396,1.7724677075034883,2.2263415086231118,1.663605850499307,1.6612651522149922,1.5711061534203346,1.5356948326760032,1.2926766637756306,1.092195564900062,1.2075821718871822,1.048633340709087,1.0920335399251808,0.8517744636449167,1.085365189667445,0.750408623230756,0.7690025265908501,0.774901263255773,0.6617012195507518,0.8878394329495035,1.0405741057013638,1.2846478902153586,1.5488603522640652,1.7943368159199535,1.8363923317139168,1.473456404661734,1.7604683018933467,2.0424336279357105,1.675926201592229,1.7009103994073809,2.1014016120137424,2.163088398839005,1.8411371657951052,2.0334746923397424,2.2942332259197817,2.154618383814874,1.9694752912866538,2.1235706950600424,1.8646192348706976,1.8802561429781974,1.704757407580447,1.679378182962323,1.6744634660078024,1.3757718915254513,1.2925634548866718,1.2852309092060064,1.2155663131487882,0.9902882500655805,1.052454882574292,1.147192286387162,0.9873109557677333,0.8639215319814095,0.9286703586518897,1.0807205191467026,1.032062864818153,1.1564582895259745,1.2016707287639454,1.5050596171443933,1.2067557163189475,1.02704500639253,0.9061447144521894,0.8309523310243112,1.0834291673752345,1.0774259465317706,1.2638395080272569,1.6589303013871126,0.8530186395076869,0.7223652141799491,0.5991813483470296,0.6096340782486288,0.815662090261017,0.6713016314261409,0.7427324741317161,1.5903107720711482,0.6459359248009588,0.6751564513992857,0.802977238767541,0.6305200555104756,0.6342827771239985,0.8015699540099349,0.8640739144028583,0.848415873680205,1.4034437628809175,3.343998447783633],[1.688825120859442,1.36523411175045,0.749724718631697,0.6219194670047407,0.5388736633316679,0.4842046293791159,0.42376496815615616,0.46427052270985697,0.43312709358191753,0.4159652304805803,0.451346350689799,0.5576888461492749,0.5005575106326188,0.5021971078071746,0.6852212594032596,0.6601503956368309,0.637100923793178,0.7778600408762758,0.8902786168306889,0.811350011855009,0.9303426450982976,0.991519531366943,1.1215870103901657,1.1866368977977122,0.892203291976287,0.8878822223485057,0.7705143258532016,0.700258315532149,0.7006909299524571,0.6678686575131265,0.8033699115469406,0.7525207664632491,0.8844171750607863,0.8746883741279345,0.7723796075301957,0.7552406873329175,0.703145281140949,0.7226482129734917,0.7048218123941078,0.7227970133832228,0.8300746480998469,0.8512580645868075,0.9054057697665766,0.8404172304231908,1.1498483910054937,1.6121644541601843,1.3960830764577978,0.9459701549294782,1.1680423300475322,1.0108009122928503,1.0168437227716196,1.8198693959007728,1.3351196708630935,1.1304357069789064,1.7601371190948516,1.1536915014499871,1.6689110600546198,1.1651257435738163,1.6333237331519215,1.2233897182264843,0.9831495358869751,0.9797570624838016,0.9916236121995118,1.272215073838089,0.9939671623148233,0.902597891936432,1.0281211914779804,0.9516146573734976,1.1185275721123937,0.9554331928228247,1.2271233047450552,1.711499303768652,1.1857086444670764,1.3828956458621615,0.9650945610488519,1.348690319422274,0.940944078141161,0.9692389021343245,0.9099740596596871,0.9035372344595521,0.8919565761200359,0.8063912731101339,1.3343293133177148,0.8159219877515381,0.8354487737281676,0.7142988043734804,0.7477583510926552,0.7884388906914033,0.8329677391603126,0.975949061873704,0.9167746286391912,1.0818196388654038,0.9640913503215236,0.8974887068459867,0.8195894760147194,0.87567302569809,0.7730655180532137,0.7568397704833308,0.7284429965433937,0.9733411440291141,0.7426098922143615,0.8255885921097339,0.7002728671417908,0.7170879284501196,0.7108255838074349,0.6150789923086344,0.7473594408088593,0.592064839815403,0.5613654086663826,0.7674370054413213,0.5245835090033397,0.4731295835255128,0.43040704042531946,0.46020961011885847,0.4938939897142815,0.5429825122828097,0.6311726069945337,0.7802025607186852,0.8808531446305232,0.8449021479578536,0.783668810463315,0.6761699627578552,0.6727402760265251,0.46114190110623127,0.41881452234597866,0.4287051260486324,0.47717885889329775,0.47812968915377396,0.4431563557985606,0.5572587826908458,0.4507454892525752,0.5118212137693732,0.5256694546590949,0.6780250361844803,0.5894446951503333,0.5986215823613555,0.5429429227629189,0.5819804871300142,0.7044299409104381,0.6865513937708565,0.9866084295620808,0.9318649747116386,0.7771515085974425,0.6424821687891322,0.6196989661942519,0.6206730202427111,0.5527866748670801,0.5411882217303553,0.513530289754059,0.4914728059320341,0.5455970877134245,0.6279188481112173,0.9430715378922819,1.91001878213472,1.1641975195356036,0.7986083394124769,0.6446285416454883,0.6564868543997995,0.6090426785465404,0.5804320386624716,0.5946130475006872,0.6174711933719936,0.5845540505489132,0.6399360927196333,0.6429285610944663,0.7424567095546007,0.6142988068380995,0.841302382335671,0.8854120085361651,0.9502238983154201,0.6662759401270116,0.6620363003635316,0.5623996622122557,0.574451688163274,0.5785467752850252,0.6428042174538592,0.6466630049305798,0.9369303703139327,0.6606920309700677,0.703635223834425,0.7170831659995928,0.5725046424230086,0.5843857234113622,0.5600504019140796,0.5754845246374518,0.6488901949405196,0.6808497312378987,0.7984367862780684,1.3388955090110881,0.8339987432629081,1.008799928733324,0.7652309410437136,0.8849941078698204,0.784091047623557,0.5873951619429545,0.5766212725188843,0.7658437863046859,0.49241613991432925,0.4720268598027462,0.5114255110833916,0.7141096421886516,0.9118179574589012,0.6736748558546577,0.7385901436108397,1.0896433401392704,1.1249797729531277,1.0445588687973986,1.0704333821923353,1.4691355724071962,1.2439670146750827,1.2074734666395581,1.4683510200624592,1.5883057129449856,1.5464517354506626,1.4975965035242398,1.2360761531227724,1.7324040599693862,1.0437456202765167,1.0871490737476743,1.3514987117641755,1.2947275856821174,2.0672047890953498,1.6417842483880993,2.10879309470616,1.5522245237215324,1.5315014755120961,1.4469547893046937,1.401500489313271,1.1607583957971044,0.9593076293329105,1.0893269715740597,0.8954408639613488,0.9392343558926427,0.6998781277017692,1.0172918000619884,0.6291872637433074,0.6765911578768931,0.7141369799609307,0.5392176680351084,0.7633535624713164,0.9186857382310757,1.1505423019330459,1.4239794664973577,1.6775026979780536,1.711904364608687,1.3489031951410857,1.6292456139598117,1.9164759023273368,1.5727430524830723,1.6051603464173088,1.995411390890571,2.0741450862087243,1.7616803398480083,1.9314694195780941,2.1978310714961196,2.0925168878369798,1.8877553553031976,2.019698312853642,1.7684633383370587,1.7615741090723138,1.5911326085909554,1.5504153589429817,1.5479485586278345,1.2689809609220566,1.164150362211146,1.1528512975338037,1.104618732867511,0.8715607959919384,0.9177372398029023,1.0394321542227682,0.8877183872100446,0.75742038572807,0.8312051929418605,0.9601683752162063,0.9466706191589512,1.0798904030379954,1.1591776890357974,1.477308862466168,1.076218863013259,0.9454320975108044,0.827953304074663,0.7647366747770912,1.017410686842507,0.9886406376302607,1.1805845480310222,1.6048796437851929,0.8151719924466269,0.6589222067993512,0.47138503238458285,0.46576558019408265,0.7700863774714825,0.5723898674734181,0.6724247438373108,1.5401348720037988,0.5606630625729953,0.6031959389985803,0.7419363683206808,0.5521381060671313,0.5617965849121247,0.7405182779406264,0.8361865656974294,0.8000657655991547,1.3823568687254961,3.3111137874326384],[1.6755228272170293,1.3900962541537796,0.6061696073519216,0.5455586539260522,0.47343653056129853,0.41915546622938943,0.3454704120226301,0.38055638419908705,0.3463387646689762,0.3545370067865615,0.3938802641849452,0.5520556489668637,0.45150469497952705,0.4567391754916554,0.62398274623857,0.6163671646757537,0.6163287805037715,0.7421888588625014,0.8672188840544778,0.7850027620606421,0.9059595049068607,0.9726772748220759,1.1102727531635188,1.201294466021565,0.8925964351776664,0.8836283494036605,0.7560397082280603,0.672676794467331,0.66726369751291,0.6311300658427047,0.7461168898314566,0.6973385345439552,0.8435445310177853,0.8188232998725641,0.709633220762669,0.7065659880292746,0.6569781405023364,0.6825932375306483,0.6874144657896347,0.6919915140547737,0.8110477749875267,0.8274640378497436,0.881056300851792,0.8277144806259807,1.2200016893294654,1.7255964246101594,1.5306418029892308,0.9157415997905894,1.1822712650278047,1.060897823846885,0.9236370930939519,1.95851918177448,1.3602999605627089,1.124992987466095,1.6978080271842193,1.0785470676589823,1.6396276928505826,1.1215730072645287,1.5447327539385745,1.1746859189105194,0.9433161622989744,0.9231515691066097,0.9317872016780092,1.2310061365436937,0.9525548998252148,0.8498452661044945,0.9977760492322354,0.9046515848680619,1.071133204674878,0.8964500628842902,1.1737521133764612,1.631691392300509,1.0935089386345243,1.3165087026438282,0.8874055599170975,1.298312583559181,0.8776637101104456,0.8974856603582481,0.8503156860793044,0.8488202310936481,0.827891334794849,0.7650272146645096,1.2583518769548103,0.7401667754856988,0.8217373258055016,0.6589686729830034,0.7042621703327029,0.7306639933179678,0.7817559376540124,0.90846804875005,0.8496643922135935,0.9996308778039885,0.8888215900330342,0.8430729669463024,0.7620760236129047,0.818180093188701,0.6953122468166727,0.7119880265879747,0.6993893838109055,0.9345537611506265,0.706279766779883,0.7781574091630271,0.6657669664645987,0.6526820814621741,0.6573102897568195,0.5539197499844154,0.6532462380820829,0.5097169905066993,0.46911715506097584,0.7190200579057361,0.44734688661724265,0.39189715858881996,0.35798213893056446,0.4084942890224272,0.454983607885984,0.510997540479511,0.6061223842993497,0.7585044491818149,0.874273772971236,0.8116956425637373,0.7682675867077897,0.6517903667656246,0.6594766421810214,0.4327131981426685,0.3518864561583058,0.38489559179009314,0.4252258900359641,0.409291986325797,0.38974698614313713,0.5023385428660669,0.4264753287599565,0.46675824313308484,0.5030449035494902,0.622099526274576,0.5632072783257157,0.5739061880901553,0.5194099675732583,0.5407410554449336,0.6590123370971425,0.6984455457860285,0.9917168550566877,0.9368582301616033,0.7656264814461144,0.6303509293180775,0.603372748640875,0.5976518120855997,0.5277190301836254,0.49448121265938133,0.4584566448706656,0.42421537664985876,0.4676930160816995,0.5523388066267145,0.8266172577201545,1.7992468004928126,1.1706435930859136,0.7384077007096127,0.6175409303703303,0.6002095982824983,0.5490023991093574,0.5118364984427307,0.5850292755554898,0.5719903795516996,0.5682001413172091,0.6151633360031838,0.6238828560145415,0.7411987112312594,0.6165919573674814,0.8659778080822692,0.8808566926554009,0.9391311104714685,0.6637891516532237,0.649811347086532,0.5379216892461615,0.5218875522178623,0.5205907774785735,0.5841032070438369,0.5903667568568439,0.8681895233633743,0.6023311341295943,0.6493775206682968,0.6941615560281271,0.5180263830986072,0.5409851956026764,0.5175758264089156,0.5438832269783602,0.6353979366154594,0.6608031589281889,0.7728853104755413,1.3513941012997182,0.8573747241506655,1.0492653630671689,0.7827397711063219,0.9102801539329983,0.7705921029327878,0.5724783680264418,0.586281729413413,0.7271157057619277,0.45949168819824715,0.4426471148663916,0.46565608965004734,0.6017844459256242,0.801158277352961,0.5946106793279092,0.6437285093086718,0.9724194009165039,1.0403332589112186,1.0097719276890815,0.9857694651893315,1.3557396901012686,1.1829235868098713,1.1369290942514259,1.380023629681295,1.5287614875650257,1.4890201344775527,1.4367487374747865,1.1701157131723845,1.639072694196373,0.9711846049358709,0.9916154986520673,1.2270358799169436,1.140870631058803,1.9137038161357547,1.4795733965944622,1.9633882446089455,1.3945193845438661,1.3375783881465342,1.2783337995183444,1.2297886023465774,0.9849983548419167,0.8215741032577155,0.9420012053941332,0.747951561808464,0.8206275653783683,0.6002832677218067,1.0244949506839578,0.6181873473403032,0.6712316369582007,0.7125661324123257,0.47044076527870127,0.652883640712269,0.7923322490814135,1.0044078376734484,1.2726923920456865,1.5013154717615023,1.5732979862668366,1.2033109517660983,1.4673170731731064,1.759760992007208,1.4496009853055047,1.472338530774453,1.8535145918210323,1.949573554543253,1.65133598273869,1.7861279108355217,2.0481843745009853,1.9898891737705662,1.7625902792683317,1.8626216611776905,1.6189795429247342,1.5971696154637605,1.433785841431447,1.377036573194543,1.3849900714262213,1.1416480148393817,1.016585959965057,1.004195524354559,0.9805142862330432,0.7667324595857637,0.7910455046573438,0.9448451927251387,0.8062464524611865,0.6877947804352964,0.7610576966358649,0.8647475139608906,0.8774604708949871,1.0121782679790465,1.151342961101839,1.4484791266931512,1.0249817637306176,0.8770392425528658,0.763876993951993,0.7018803979542099,0.9318602994532669,0.9084403837987739,1.145016651207292,1.5908969662948875,0.8406543559098775,0.6401699181356784,0.44024337561633725,0.4461345047434438,0.7530877873379139,0.47023633717821944,0.5405480703260463,1.447268751392584,0.45245736760112626,0.4975101462596781,0.6505463541216883,0.4501654832506056,0.479803558027354,0.6328739748110741,0.7480348174606678,0.6952860065871096,1.3358052574425365,3.1818256290470575],[1.6635489244110828,1.3977380083840507,0.5617517383245247,0.5711077945605892,0.480492676914857,0.4167085747583528,0.351698477155466,0.342299370190884,0.31923963222626656,0.33947923729425294,0.3729323795967363,0.4949782719768213,0.4217204230826168,0.4444951534844303,0.5979655253573122,0.5753897744972422,0.5844148582544365,0.6897377908535166,0.7940029575679741,0.7084793324959623,0.8184028520311968,0.914847234757822,1.019956030770482,1.1107632704438233,0.8072269581160778,0.8099692675448787,0.6983872459361471,0.6245710928526037,0.6172826484091443,0.5865820933442861,0.6864077477406837,0.6346834951387755,0.7520167663276613,0.7274385205627495,0.6332669272066228,0.6419792526127674,0.5993194799792464,0.6217185583340737,0.6238254708775819,0.6207292028023681,0.7609929018711109,0.7517293978987312,0.8007858873839441,0.7552829743639666,1.1377759511425012,1.6592899594259651,1.4579300103638566,0.8528459878305045,1.146225251019672,1.0253039959095984,0.842060961529747,1.9306582998769921,1.2881009965154342,1.0665336441132078,1.672001199269911,0.9896730916221892,1.5752179002824438,1.0697202282295728,1.5042301190992589,1.1285165579120322,0.8609227574393089,0.8217257847026083,0.833984446317243,1.094306645334714,0.8297334714567965,0.7597085569470589,0.914578840551892,0.8195788931012443,0.972105875025014,0.825738914905211,1.0982092970608917,1.522532567847283,1.0103435033510737,1.1778093337407662,0.7918264142219154,1.1958850217681625,0.7751333173630147,0.7877935375765839,0.7516655424883488,0.7698033957464466,0.7440789392375667,0.6820366558745848,1.2099390587516607,0.6829721717789037,0.7775942260459315,0.6023604666133221,0.6400481750879526,0.673120130667871,0.7016214639708046,0.8177584991815194,0.7557372288892051,0.9078758338381554,0.7972255900467914,0.7417381301929933,0.6964351586100057,0.7561723723344101,0.6578848496700012,0.6464398721862773,0.6271470130295328,0.8547367684268362,0.6299618061740946,0.7199402920305173,0.5971381473241959,0.5844759265325817,0.6042025399444766,0.5112047205429819,0.602434364423174,0.47203605583980485,0.442268867535008,0.6966403769288155,0.42177815342507474,0.36919730156462927,0.34198036463240256,0.39394621163116667,0.43507352277133843,0.48459411011567965,0.5624413509054769,0.7089120160730683,0.7895793914294238,0.7582017566372113,0.71077988284212,0.6152804880820186,0.6097552214821579,0.41464948126305956,0.34622632641000295,0.3801482917183579,0.4219415109531729,0.4006964923602059,0.3833138835750741,0.4802633844451278,0.41986678112977716,0.4473061146934444,0.4922712580796422,0.5995091141326465,0.5548863900975283,0.5713323014774643,0.5203118700247951,0.5400548035582715,0.6572725538553167,0.6695831789611784,0.9389604151303318,0.8550426223128955,0.6994207984246273,0.5876829028662574,0.559734492992813,0.5586765394972084,0.493500815726499,0.4729280981311345,0.4358223348164712,0.4028282595109572,0.42769055512521176,0.4981030492671605,0.7339920446851316,1.7201839307247306,1.1592086351976847,0.6653456826842113,0.5628115045332116,0.5345304469506494,0.5078895799003701,0.4807271625654982,0.5630065602019038,0.5360329128756153,0.5332658669330125,0.5688777418880636,0.5893184118109365,0.7160245856892232,0.6014400321559963,0.8484210859548172,0.880123908420517,0.9362028584380563,0.6598513226215356,0.6408885339173498,0.5199029427001565,0.5003031868358294,0.48028426320706585,0.5386982128459995,0.5399809993822244,0.8161706778916875,0.5455282488694791,0.6005154854455341,0.6794165014577939,0.4910876545995898,0.5180781020911257,0.48991291388621994,0.5178713414766324,0.5915544587230913,0.6108044025725751,0.7275755512182407,1.3172146261084432,0.8116596124534169,1.0162347174531505,0.7515173913239418,0.8975240848957317,0.7659037883005898,0.5672439461048173,0.5820236239585975,0.7211305643483982,0.45646268974848,0.4432003949544901,0.4590883823778775,0.5621689679172892,0.7516912599439749,0.5637652268644802,0.6131144303742685,0.9104898612338546,0.9906283720938678,0.9891302814209193,0.9382287806009807,1.2763103847018604,1.1346412125724965,1.084395375762481,1.2987782063952154,1.4572792904113712,1.4433519479043413,1.3682852605873164,1.1134724913509564,1.5524740479526482,0.9123805538027072,0.9249959335834342,1.1364704124652065,1.030606060583969,1.8331915234192966,1.3857243185581853,1.8752043428031304,1.3078088623191637,1.237949735864607,1.1943269819432036,1.1611369235035494,0.9090404015053541,0.7752159657895795,0.9043762044810386,0.703793308419585,0.7787800604897926,0.5794116788398115,1.0438145885182868,0.6192207321633308,0.6680090346665944,0.7109081712015937,0.4672787240987852,0.622069320652764,0.7535131821473402,0.9454476028210406,1.2100287902206688,1.4071135376683408,1.5026294638770976,1.1416415944142688,1.3633984384507778,1.6581976829447842,1.3787765648125299,1.3851971029767096,1.7417944582476308,1.8448155991337123,1.5614319083166082,1.6670869458593296,1.9110140627315988,1.8825886766525513,1.6508864669529333,1.7278405273891457,1.5023428006941484,1.4779657975034035,1.3340114083230261,1.2756247143613912,1.274965717197665,1.0632887739722474,0.9408715592697746,0.9201548384061083,0.9045748343143952,0.7246236463630625,0.7358923883157763,0.8870273902423973,0.7758964637318883,0.6696976749007384,0.7395467953496443,0.8293638465511952,0.85932576187083,0.979408652995768,1.1572577586434347,1.4560791700178302,0.9709890091550369,0.8535136614868741,0.7365088613280599,0.6723404282173864,0.9208467857737548,0.8929696023907657,1.1289775254558934,1.5830011113083307,0.8496241930840033,0.6464046038373982,0.43629071811869635,0.44309822886463907,0.7461587255139636,0.4345729265886044,0.4853315392723932,1.3823840603591708,0.42480545047143836,0.47323592619167965,0.6043285969218422,0.4170650486024308,0.4558290970697843,0.604998422271353,0.7316886485257349,0.645249512679877,1.3347284499213747,3.037015354499175],[1.6144973420486417,1.3553121273746753,0.619370435785995,0.6198089276047438,0.5233108145902751,0.49266856688859384,0.4501150711493053,0.46946180594585757,0.43184217375965694,0.4206972965036113,0.440208858904786,0.6037498955859165,0.48487560861626555,0.48429639385754697,0.6387214394445051,0.6270991203454589,0.6444992449539696,0.7754111651221737,0.9133246264082819,0.8169984317057646,0.9402537814867272,1.0014333645232056,1.130540068058137,1.2226869400644667,0.9189713304984566,0.9143052591083578,0.7920023834510592,0.7071229279274167,0.6917722185489014,0.6450577981427982,0.7460612221060119,0.6801141500854702,0.8151974886849189,0.7688024827528656,0.6810934003592223,0.7064141703560468,0.6574452767539393,0.6975654855253322,0.705453629602968,0.7076987812537757,0.8351457008507501,0.8503188599253153,0.8981454939058929,0.8506057974239056,1.1549723141999224,1.6117609802623938,1.3905383856537428,0.9480597638008292,1.1871338437632937,1.0279280238090343,0.9986683519725695,1.907959115851927,1.350894656077521,1.1238054256945171,1.6897326402775428,1.091568209800428,1.635204253368634,1.1227307368654778,1.5524511356729696,1.1695180490401949,0.9293900478873632,0.9089746172736027,0.9164915326206836,1.1939895939622793,0.9473391120521918,0.8516921484236365,1.0319927786998877,0.928528760090066,1.0975809040036297,0.9433083449457946,1.228017007734552,1.703287171912404,1.1425699101174112,1.3025821067342511,0.889090731550114,1.2530262062155682,0.8567409893238906,0.8543461208018085,0.8200473355548685,0.8355942082204115,0.8069521931962114,0.7608828538608435,1.2882983648581245,0.761317278710855,0.8203045433653733,0.6651416780858889,0.7123771866750862,0.735077976500564,0.7754450546908556,0.8677051163454633,0.8193781276312649,0.9600268531636824,0.8489236429808226,0.7847141043467447,0.7372215794680864,0.7840402565225993,0.6827812742551459,0.6839192848393563,0.67674566481782,0.9499350254333374,0.6839038592991076,0.7644511624993676,0.6762458086848152,0.6738891512468504,0.6734079742230206,0.5870159170535122,0.6699527532041755,0.5646179677168239,0.5189110332520489,0.7821501774783194,0.5129887685668337,0.46386571193259873,0.42209880386248627,0.45350939397485995,0.5038804882418649,0.5557467616950522,0.6494397878508695,0.7862922860357066,0.9101905234983082,0.859192984261991,0.808694495005347,0.6837601635371993,0.6752673614150039,0.46375388128632233,0.4001436939210544,0.4380038995640841,0.4895190691240333,0.4758823313739551,0.4664133246357291,0.5699577405986536,0.49582418394448396,0.5463793739551814,0.56736939931164,0.6856900914229016,0.6235664712469366,0.6099008714054875,0.5281644263915074,0.591607048634178,0.7071332436250013,0.7186463444292891,0.9705000125735125,0.9379330922240174,0.7906184918106718,0.662055074505803,0.6349970250653827,0.6262222479991613,0.5692572088141585,0.5375586300288915,0.4930043515260726,0.4612305645950813,0.5171209935633987,0.6111506186835703,0.8209531974529827,1.7504001059651215,1.2214181189767221,0.7545841734349106,0.6274649086260675,0.6151971196010955,0.5720575489198254,0.5490478457418726,0.6155466848038664,0.6029507464762424,0.6073166787160903,0.6469642020656816,0.6737339483713805,0.7779664924942082,0.6584208734946343,0.8451301826684946,0.8514906918042334,0.9114597834411227,0.6886568581724573,0.6829925683811898,0.5879876226553711,0.5691595334601806,0.5521987813884476,0.5995450541506383,0.5986738086176908,0.849820435783585,0.6109826037723788,0.6551533442453571,0.7085963942606563,0.5583750376382348,0.5908828807376931,0.5731703215226298,0.6040539312456695,0.6639608459382851,0.6883352775805153,0.7955428042444752,1.3265594221398014,0.8534471596295822,1.0407430315263848,0.8122784764361896,0.9243430866137812,0.805622847454402,0.6384970698246711,0.6298016673549921,0.7575840547009242,0.5327336722654583,0.5118682341807841,0.542405312400126,0.6329067105702668,0.8103876770071002,0.6469726830946235,0.6685686386393922,0.9467745003335687,1.0245156416209245,1.0031755419093884,0.9570461057771515,1.2808571638157755,1.1476410775214936,1.0975636525731851,1.297713341258367,1.4465732692190176,1.45283182467183,1.3614903267110727,1.1173239524039869,1.5366780067718553,0.9155902601303272,0.9380112215016766,1.1404103038338167,1.031198210163305,1.9316407263497708,1.3950487779439382,1.8617726211013386,1.3316350810396844,1.2703958086044622,1.2228916367488722,1.204087502020774,0.950285240635418,0.810277674636147,0.946061289565343,0.777059095048436,0.8229534603613782,0.6280474209297688,1.072480396500614,0.6218981549540974,0.6817197395233034,0.7233113212966662,0.5373835605919537,0.6933125731754424,0.8157278109863392,0.9834920491108337,1.2545551262161727,1.4604531223630888,1.5406343812976795,1.1707781290255341,1.3955152769107362,1.7083528199437146,1.4114307522214256,1.4042330100577602,1.7458881518750025,1.8361305576422011,1.5560755297594084,1.6658483445333714,1.8984301868840359,1.8533711139748776,1.6331653789191605,1.714561243044538,1.4981931201931225,1.4822516383428184,1.3432101412622854,1.290778695926152,1.283552858328663,1.0754521079951151,0.9610135746745856,0.9401507353859823,0.9289401060747391,0.755086090906235,0.755676743451726,0.9038055957539348,0.81081009936549,0.6964343661432226,0.7835100515308934,0.8556807253452346,0.8964304041128378,0.9930503523409523,1.196179330575696,1.495578061375334,0.9696107261268577,0.8834625411810764,0.7696539605471104,0.7279357802920898,0.9751860438547071,0.917078154439917,1.1178428407883467,1.5507075186532946,0.8790433859849704,0.7109740287916052,0.5089236382146293,0.5126741435905932,0.8202196229478669,0.5640712634160727,0.6141863280363858,1.4168813067071582,0.5389470222818953,0.5817198664706297,0.736988359043822,0.5477002009966833,0.5628708418181174,0.6987176422733296,0.8604457556555128,0.7944301017157351,1.4490610724457054,3.0694468936686463],[1.6764939800427423,1.3928897069627186,0.6924208547243318,0.70301616178856,0.6172229783689547,0.6047436223490044,0.5510735847481908,0.5309343742824744,0.525067669028513,0.4754848859927019,0.4881862175130579,0.5830472151019911,0.5028593592544836,0.5414612801421147,0.662268454012578,0.6218334183554358,0.6624889909116882,0.7771343179579019,0.8768179286864294,0.7877782547337566,0.8940979018608187,0.9882442934954009,1.0889163192401,1.1536742806273188,0.8652281829223002,0.8780976816368813,0.7724501705263518,0.7100560891237808,0.6966484213651458,0.6383321269958464,0.7308693800877346,0.6492735612925855,0.7258000052563767,0.719379215030336,0.6556544288918067,0.6935459039905164,0.6448079268344848,0.6894784869984663,0.6866597385663086,0.6852103718244336,0.80931954746323,0.8115626972331293,0.8674159578682175,0.8182322649353203,1.0738084952526532,1.5195762572751095,1.3145960291658951,0.9153751656291831,1.1890159377727034,0.9949552686444022,0.9425047069038491,1.8680103078196133,1.2791641995272316,1.0961464972195527,1.7245977179750824,1.0245378783330603,1.5726881637798813,1.08755863044401,1.5411127258735198,1.195421308565159,0.9050556186855209,0.8579547120146218,0.8647681917160474,1.115339694140012,0.8851182574065783,0.8401878526965667,0.9907848025277187,0.8888947395112051,1.03574538838568,0.9208113976155672,1.1630434382713628,1.5838585337792255,1.0857811817051009,1.154915100569065,0.875022624960105,1.2176706168413636,0.8372094891974823,0.8114134029728699,0.7847819667010019,0.7984990885454845,0.7709884030812503,0.7226617306645217,1.2474691091142223,0.7338328660968721,0.8058433136213837,0.6498025687895556,0.6945407490638674,0.703964244435713,0.7438941643707622,0.8517047141089671,0.7917132898771527,0.9338670843829765,0.8233202893760688,0.7316988343653902,0.711500671024616,0.7653686225625977,0.6732237086549838,0.6314775646339736,0.6235474781357803,0.8990059528868911,0.6394310863936242,0.7438871724393672,0.6307204236914524,0.6259879923946888,0.6461142997958169,0.5835672133139806,0.665856758729658,0.5577566393073866,0.5517272171130589,0.8001438490777049,0.5588326199324359,0.5107030863860988,0.48075543208193255,0.5007054462854575,0.5438253317144134,0.5656942767416315,0.6341427148868479,0.7291696398824113,0.8238079897970082,0.8060481299895137,0.7785200458747077,0.6781874828240273,0.6339530666853315,0.5104122167214453,0.46758424572402746,0.4893900165970501,0.5614243836346775,0.5447391040727915,0.5286844437219452,0.5900822925642321,0.5338364646101461,0.5615011602742604,0.5856171327364968,0.6905341725146407,0.6415287261956493,0.6309730476791131,0.6058237695995019,0.619750524212163,0.7248595753188489,0.6899715041205615,0.9021613717006769,0.8451980599058999,0.7411611768265454,0.6551616453220784,0.636307156025939,0.6327073228940522,0.5747420957867913,0.5459982790119957,0.5158412083755284,0.49959681875032286,0.5438706353646998,0.6203789837603734,0.7886262288242687,1.6779790925493414,1.290210228221098,0.7267480808362429,0.6121184008894894,0.5928785340334278,0.5662749130802697,0.5497799658392045,0.6406383349970055,0.6059302119591917,0.6008851815999262,0.6389135000194901,0.6982240719086773,0.7484113299002256,0.674610451534152,0.8195410689310388,0.8626996195751604,0.9186775437815992,0.6947880585032696,0.6821349424747315,0.5951914527767103,0.5759751670138878,0.549644376309727,0.5945503609631553,0.591963195382049,0.8358034143032005,0.6004147632432759,0.6582936412765787,0.6921351365375772,0.5670764076478435,0.596029116218605,0.5750236034609245,0.6001600560284237,0.6476380518507527,0.6715338818607608,0.7779931732548921,1.299060562624321,0.8235892649372522,1.002817049099058,0.7998611885776343,0.9348962558076416,0.8279009066099635,0.6557887287333183,0.6584124306171174,0.8053241976577404,0.5777596294478121,0.5646677849144182,0.6010324972609221,0.665832906066477,0.8303683052899575,0.6820947402434856,0.7029021478033777,0.9275600763245159,1.0092735994601865,1.0122858085394983,0.9584881848539148,1.2398554298837345,1.1364251744678568,1.0873228543782858,1.258348344821698,1.4113863309340133,1.446696793043169,1.3381844970465329,1.112527548409527,1.5153341806454894,0.9222831843169111,0.9364111062459771,1.1036732283885544,0.9991804085641988,1.9009727020109422,1.3406452667438626,1.765685903085626,1.264805099567487,1.1993670599592845,1.1769130254359914,1.183948877220885,0.9249439978189281,0.8326300741426125,0.9575648644797515,0.7844726130886229,0.8340495913755753,0.678032344916777,1.163575151312442,0.6757290137544881,0.7307998100912747,0.775231302365391,0.6042893753674666,0.7148950178050023,0.8283794883561034,0.9870016425492295,1.2414613440213116,1.43327139405516,1.5277424850370191,1.1603566628363335,1.3409622055686754,1.645441146368302,1.3824008623982997,1.345636367421864,1.658406293293059,1.7525972280110633,1.4912490895755366,1.5754229863084346,1.7838760821150925,1.764170704415405,1.5597243580217741,1.6205818685882152,1.4215540393377992,1.4038429780058375,1.2785516203430631,1.2256507013107543,1.2228990572224907,1.0521778025064845,0.9450047193944242,0.9287657620445365,0.926900867422102,0.7925264428394883,0.7919588846353596,0.9128665391102837,0.8515386840285033,0.7342955793895809,0.8112266851941644,0.8662590766624446,0.9002245268996606,0.9884281689239834,1.2182680465518478,1.53935420443485,0.9579881596624976,0.913058603410552,0.8142874838349783,0.7858689549287208,1.0098705007511486,0.9492261362838057,1.1243984732928582,1.5568424610838991,0.9454906359686561,0.766796184285688,0.5688831247431111,0.5768382391132745,0.86491515322174,0.6455963591755064,0.688616099557296,1.395998639366056,0.6608928808043174,0.7119742193193429,0.8408739558088048,0.6665414320054126,0.6967185215194012,0.8238117745318315,0.9834623236684928,0.8956506721553852,1.5471866944200923,2.929351181097857],[1.714752320140757,1.499636225130002,0.5378478368176326,0.5667863621690201,0.5134773916584303,0.4432399829136379,0.39258908058563985,0.3626988689594931,0.35075589995937184,0.37098487874166075,0.3909638825844765,0.4936576914753016,0.41914985923007825,0.4350840969384396,0.5305633396653606,0.524776432085248,0.5828630027703613,0.6470686291235694,0.773184374259401,0.688472694016108,0.8042855195139191,0.907211696698938,1.0311108402978255,1.150531684323776,0.8323004205677685,0.8257628995693725,0.7212673234861747,0.6276596367260615,0.5983879622416741,0.5597479563416805,0.6248577479783084,0.5747915470655617,0.692027649319652,0.6581468447792694,0.5617912933800103,0.582361896962991,0.5541114970401593,0.6011049754999451,0.6255552505655658,0.622952995920556,0.7670074717089623,0.7640665725244369,0.8017794433509356,0.8216977304359223,1.3303374777685002,1.900731242437733,1.7505969648406203,0.9297625732641345,1.2435609204586764,1.2372748692867763,0.8162411022875112,2.226635439818127,1.4213569269444182,1.142327134034623,1.5376588472499417,0.8872502169731195,1.5717571477499834,1.0042494923109893,1.351948259931385,1.1902115658395152,0.8985337095194466,0.7717824303198361,0.7663111029023267,1.065515675770236,0.8086023176181132,0.7290726941686753,0.8814853291919039,0.7677537269356486,0.9329429083484739,0.7664500970034963,1.0170006537996024,1.39515880522514,0.9171078233483573,1.128759557700371,0.7267255226990066,1.1743412356080385,0.7237170827180375,0.7122074618121692,0.6911990501916537,0.7037184814911283,0.6677532578829113,0.642494624005116,1.1472960607393254,0.6024292298932371,0.7850001604056199,0.5617571537455786,0.6020697069481898,0.6089529298925348,0.6465301857601002,0.7480451671578794,0.6818916979539025,0.8513747105443847,0.7391390587674278,0.6625751615077636,0.6300413747925625,0.6942858850831153,0.6100469694494298,0.60107441741223,0.5793010117098707,0.8350780545677623,0.5912938570047975,0.6605971393801997,0.563083897627167,0.5172030806867781,0.5678922917708595,0.4933425838417777,0.5550360494111528,0.4550846767346372,0.42873654755486895,0.6762887420089468,0.4079607891890489,0.3992006717449705,0.3613606238590186,0.43532907201408805,0.46698836184886044,0.5166529695671218,0.5914597618075483,0.7408526080504189,0.8136275783024267,0.7579128450049479,0.7237254555965776,0.636508469675694,0.6555447472015686,0.4408898248227763,0.3635666144995635,0.4094795568588221,0.4190756965448259,0.4192439907676075,0.40097448458257673,0.4984012706536642,0.43774305570153643,0.44759114197080646,0.5243332674987524,0.6043594997914052,0.5814009786802589,0.6090672730455202,0.5398730533906239,0.5640658438466023,0.6781452712124089,0.7566807718067993,1.0259192239609762,0.9414740606318562,0.7409277710669995,0.63318191783643,0.5896045208859307,0.5735728955624747,0.5256119090571546,0.501550894212634,0.4434602032381116,0.41387656687754826,0.421134280882582,0.48238851760289697,0.6663786190775376,1.6329803679037922,1.1910852147947397,0.6224020669184991,0.5244305688038561,0.47528060017336904,0.4903627419707154,0.44825886518942143,0.5847670462613025,0.5396666198901144,0.5696569314438586,0.582660818838079,0.5900886634515217,0.7842098403912743,0.6603221051104323,0.9433304887563102,0.9286730496620416,0.9669067342380137,0.6918451209644989,0.6792072861069479,0.5592624588668792,0.5367674411586145,0.48538561286058296,0.49825931990196676,0.5080034338856197,0.7691829285758616,0.519965632857121,0.5476441761736744,0.751235394609273,0.4915661809802758,0.5496817478277047,0.5235336408034315,0.5708604525386147,0.6426691878264358,0.6475798196060845,0.7636538679102295,1.3892729632824299,0.8955306669193461,1.0952840841841769,0.833711162074864,0.9740138739979415,0.8293666696305868,0.624115433917956,0.6696919765227266,0.6900692703806582,0.4749006686723343,0.449066543843824,0.4650686321519604,0.4922732352546771,0.6754957108872379,0.5298194826534791,0.5744592441295184,0.8222324254245099,0.9452785064655521,0.9682783984265048,0.9035964086358726,1.2172076454058403,1.1476511788270165,1.0871251269034046,1.2793559147763853,1.4681416171590345,1.4501467281852012,1.3921004256364917,1.1225694863007059,1.5109780696399144,0.8652636847221261,0.8794622617770308,1.0624914896802504,0.9375854210204059,1.6643999842526764,1.2627064260640104,1.7158410684764513,1.1694323301999467,1.0671592043236273,1.032604726429922,0.9974518184101779,0.7559879862836821,0.662207229093726,0.7966430106124186,0.6308670391014181,0.7024523797552172,0.52783884785607,1.074054860363133,0.6896899758365469,0.7008556086634654,0.7728919624326003,0.47627041915254703,0.5491575763528581,0.6442296889644866,0.8330159712997036,1.0963306804843314,1.2691517852760303,1.3881534438556486,1.0260172899464717,1.2136953334602991,1.5264643018146697,1.282057234024623,1.264421009305454,1.61082052337694,1.739278595052024,1.4896832310772383,1.5592221699849582,1.8071287550847281,1.8411985725159734,1.590510005040812,1.6302154688537385,1.4099072452438322,1.3472633292638565,1.2015417858820736,1.1343054104520138,1.152226594328965,0.9851177026055711,0.8288481662649799,0.8173850548556052,0.8355145197582733,0.669235685568882,0.6653540054331626,0.8524422371784277,0.7746989596915479,0.6717349445669837,0.7304961952317565,0.8760501774039501,0.8880413413671255,0.994868667247247,1.2623124492405733,1.519276355831556,0.8940879675514228,0.8069259281909542,0.7287878102192237,0.7070590154396448,0.8518296833381349,0.8313871663387752,1.1002017311646113,1.5803583708982576,0.955142093640739,0.6895648460552974,0.43895430782874084,0.47800454002465964,0.7746256048846741,0.46540590418467537,0.5084616614916876,1.3588756715667,0.47799770304713113,0.512616934066902,0.6145521177291701,0.45852010905224394,0.49278218858085143,0.591490283853214,0.7011255635612181,0.6608989797549483,1.3709352396206473,2.8548966799604782],[1.6871116964483857,1.5058446049677778,0.45899897347629226,0.48575464174910865,0.472313616225838,0.39128321384033216,0.33581109744012105,0.29553141577313535,0.28250473892000466,0.30895368879734764,0.3390508407482886,0.45236638100995097,0.385185431135922,0.40453750108792275,0.495056630702243,0.47584015934827617,0.5634761880814811,0.6250610859092083,0.7611035986437991,0.6774945307027888,0.7853121235207207,0.8948676278883424,1.0237716518633042,1.150702169438327,0.8407584357190193,0.8340296571443612,0.7284077667606826,0.6258993340790936,0.5834739465950105,0.5316615449943631,0.58929813382039,0.5228034160449824,0.6261183943590254,0.6155331158270725,0.5183649462713528,0.5573572475341391,0.5139580000334097,0.5883593983625368,0.617450176873309,0.6210330584172659,0.7700158187999749,0.7601960931868216,0.7893912353553517,0.8669417235529632,1.42781198536291,2.0352359281202563,1.923277348199271,0.9979047402787358,1.314099469701634,1.3924615727148797,0.86622209781416,2.3982532731588675,1.507634126181189,1.222490844894525,1.4944931298203392,0.8681837872928485,1.562073451041545,1.0045383883270806,1.2824913868519272,1.2439355325245862,0.9192328479559742,0.7397876594076351,0.7185416345596304,1.010302353558012,0.7821980546921908,0.7068039670237687,0.853598117174327,0.7360842375701231,0.897184635026132,0.7341388852527485,0.9639579768845697,1.2742166527601044,0.873756499543629,1.0819650838020383,0.6888926537913449,1.168305724149877,0.6894638056933545,0.6789559219301019,0.6578122479860917,0.6730437370791478,0.6296409997463436,0.624409004581162,1.0518337525555204,0.5586595337257653,0.8046691440011726,0.5423135321618948,0.5943228058459762,0.5907953615674298,0.6209673111502245,0.6999111368487185,0.6462307666678521,0.8528492844677685,0.7319711486006909,0.6217324874085174,0.5825134627365632,0.6566914719421658,0.5930922627376238,0.5643831321450222,0.5238512112903476,0.7639100098885214,0.5342970517756573,0.5933718149668972,0.5353992176208083,0.4703155699042018,0.5426641597170827,0.4666344780487233,0.5190799656157925,0.4224338068869557,0.376483948026317,0.6362584593595647,0.35473308395522607,0.3551483047339289,0.3130028522245169,0.38867672633161365,0.4292057620771609,0.5021740361318606,0.5967735872969737,0.7596761267721093,0.8430114914939977,0.754800769404355,0.7324995139354107,0.6336411985745398,0.661286071314175,0.4149934289543305,0.31767044989607585,0.3688995124100896,0.35315027163894036,0.37010732159842125,0.3544695968653368,0.46630771919111985,0.40576822313646055,0.4102947336130165,0.5093782037485775,0.5690704640619506,0.5654858811708394,0.6003560172810953,0.5168242824982981,0.5287120384547078,0.6462972152413652,0.7765498674785933,1.0501134181897724,0.9721135989003278,0.750734571529849,0.6364140499303145,0.598612799003488,0.5708586619624973,0.5207780876559381,0.47803816601267496,0.41157141080639753,0.3780172694934278,0.3786817207387459,0.4511150144191324,0.6073688094690982,1.5584759279583476,1.1858043996971572,0.5610533385555503,0.4765008757349241,0.43101826711861546,0.4554783258341264,0.4183499394363304,0.5732817735649165,0.5195401660866605,0.571253830052251,0.5766459795542306,0.5919320324445986,0.7996063982399134,0.6708432697594373,0.9854313207421662,0.9483779683555126,0.9740229282755274,0.6893784400148653,0.6760276112542601,0.5592969576205103,0.527892216112297,0.4749107660963088,0.46261680183114806,0.48575470792187997,0.714857501637393,0.49652393484876595,0.5100341878810922,0.7763924630143493,0.4707767375583458,0.5456249245277432,0.5280070331622333,0.5794053234020393,0.662618127930822,0.6688051197689359,0.7877848959100061,1.4370569011082848,0.9448376553081129,1.139161617599501,0.8568099865375581,1.000186129934488,0.8369109177934285,0.6208996961159549,0.6893250020399254,0.6602746005792337,0.45913733383852023,0.4294141810944501,0.43389711210654014,0.41907726112105775,0.6050907793018033,0.4707701874483431,0.5114363434300478,0.7461177311889817,0.9001452826344419,0.9152297749229884,0.8490531160129574,1.1504196753279294,1.130293920557832,1.0598611319671016,1.2354951352954189,1.4438937928402642,1.4240028318512714,1.3727310892979412,1.094643823298519,1.4446253772412712,0.799925408276189,0.8180571628818671,0.9869987037413841,0.8542301901886268,1.5355109320398668,1.1470225208804694,1.6373285205634114,1.0806962459959835,0.9386547078860102,0.9196263090196524,0.8963015319581813,0.6650888116131279,0.5869802208378799,0.6962828468232243,0.5894942562891622,0.6601369587735122,0.4819723184629401,1.084055580933813,0.7170921486314988,0.6980954920853781,0.8024120972988642,0.4444806381293112,0.4914195285918563,0.5610637584756177,0.7324373834753085,1.0235025577298833,1.1892796139012374,1.3262193154405655,0.9585467650088657,1.103351351226827,1.4332245048921697,1.2116484997467745,1.178489478396983,1.5105219485529704,1.6525192798695851,1.420861693534237,1.4619939145188403,1.7015332209749623,1.7843606414036017,1.5080064220824998,1.5248559208235657,1.3114072588312744,1.2334625582583052,1.0899212472210253,1.0038108709116225,1.0369757900500767,0.9004618599310952,0.7247584583485335,0.724497319828816,0.7637679430906864,0.5989251693177216,0.5966872296973901,0.8121284595078634,0.7348934838836249,0.6474105437012802,0.710608923540987,0.8802549967549985,0.8791302490552502,0.9655402854960345,1.3028629636306868,1.511879350076077,0.8282827251167976,0.7404382941737312,0.6721780519179198,0.684195671240293,0.7771368580824481,0.7406620837068283,1.0379362385447868,1.547872132586528,0.9812598467590219,0.6655863912245102,0.40154554387648633,0.4474419873007346,0.7646057379609061,0.41860733163102065,0.45088547715112764,1.2702054259694506,0.43984838311315894,0.47543278271805184,0.5337488715434351,0.39921531898765444,0.4713499846106784,0.5413028677919812,0.6622743906677537,0.5956756828209887,1.3705712612019318,2.6755626141184568],[1.8296899612087454,1.659690704417885,0.5235234142390761,0.5207905166114902,0.564261463813316,0.4686126657469629,0.4627163155373851,0.46897275492029916,0.4496873097130091,0.5164019996900977,0.5711451622132607,0.6730004453949875,0.6389062124710086,0.6320399726553301,0.7472019038268954,0.7213878952111479,0.7720439099941203,0.8273070351544753,0.9402471987079555,0.8922216306039465,1.0018240727662506,1.1079940365498748,1.2144726893362936,1.3272193290658278,1.079156275266928,1.042488201830485,0.9564162609054367,0.8490601653453348,0.8050307645496996,0.7767326970854382,0.8381796963176077,0.7746622023951444,0.8824809380020741,0.8807950558768256,0.7802487320458347,0.8026086341619202,0.7603840538745272,0.8333427430224728,0.8781239918730718,0.910079486274259,0.9894453643278729,1.006710118279702,1.0493949326012282,1.1999679424393481,1.8072418296133432,2.464409048115003,2.4281396307508354,1.3849342978628931,1.644640401840224,1.846285615702229,1.2407254616622927,2.822442012956953,1.860316946947695,1.5142833343995619,1.5116056203867347,1.0922240857097136,1.6465385081981825,1.1476693072362454,1.3103622813643159,1.5172152643356172,1.1676103008341066,0.9633418034219348,0.9359413154889102,1.1401771267109624,1.0253788251747822,0.9312064712492167,1.038373184481152,0.9327724997872792,1.0479358127022518,0.9434936076269633,1.0272098040468762,1.3122364587325615,1.047042333516982,1.2501689639773474,0.9290316597850312,1.364756306058645,0.9347158079084144,0.9144063003035057,0.898904915648984,0.9083612050257445,0.8644504273644256,0.8842868454930998,1.1034953654236523,0.8350169417556064,1.0402747583503875,0.7977780761492327,0.8497279594716117,0.828388703326892,0.8569502331769534,0.9276149013764386,0.9050327452827802,1.0627609650447616,1.0050522296219697,0.8786677706969014,0.8326771755122159,0.9164137644229405,0.8488646343405145,0.8025104020443351,0.7212795794173942,0.8394594578073257,0.7332112298716397,0.7044557280634657,0.7620719644525582,0.6582509914496261,0.7280673432098492,0.6662843576940181,0.6993636986519136,0.6306223456025352,0.5587430259125149,0.7355698077034063,0.5295487663496726,0.5856186106120692,0.5447846559137844,0.5953213998698305,0.6288482753639569,0.6955999871001465,0.810672013353946,0.9506651637365753,0.995254645931717,0.9094014259921352,0.8681355698562624,0.8065968965387966,0.8177304412093598,0.6098886087894883,0.5072777128235612,0.5795615770795519,0.49543587181470744,0.5619396462108177,0.5592858304891738,0.6513809580509625,0.6284409140818026,0.623930401976251,0.7294026254543522,0.7308466171590038,0.7633148189681427,0.7890271400258372,0.6748627304472646,0.6970318812673008,0.7802063769585506,0.9946675504396865,1.2547732605773285,1.1743111874706136,0.9649433994664582,0.8777572212037769,0.8474302010825988,0.7984225498700048,0.74865211312139,0.6716458319069583,0.6258036381213349,0.6167407400449485,0.5895890191038158,0.6109407093673673,0.6827763990274124,1.4911290290001877,1.2188220111658372,0.6672885163580681,0.6471481070412591,0.6115424062229519,0.6636832811181859,0.6386146519000795,0.7684468526374187,0.7440493265911119,0.8045652771968465,0.8255064319523082,0.8113068196598962,0.974124658070245,0.8645576057282282,1.2120474807753454,1.109189801236436,1.1063292538495137,0.8741375967243303,0.854227374329605,0.784630414776291,0.7508910900740744,0.7366156069625082,0.7019413206033304,0.7642557519393282,0.9045051196051401,0.7651459057082469,0.7246916802060943,1.0013936094537539,0.6869881138079453,0.7701731611148079,0.768261852709178,0.7989541810064935,0.9009493043805346,0.9209149054734788,1.027140112521903,1.5883513018354793,1.159667978970849,1.318051424852639,1.0632504442266753,1.1865135590353961,0.9813081854894492,0.8090050122629172,0.9021919877243193,0.814101496235204,0.6885577358700675,0.6387501061860225,0.6098482459815876,0.5286309953630456,0.6223208590839379,0.5699144833699402,0.5980207294388881,0.7405465743685488,0.9069181758874968,0.9752690548827256,0.8912247398795046,1.1170046703314709,1.1771543573914234,1.1219097922936958,1.2634931245765846,1.4775608451986182,1.4818561320143662,1.45782818890315,1.1908125945226413,1.4601453652682774,0.8787268940818933,0.8838929843209404,1.0042214841114467,0.851459872286723,1.4202841498680139,1.1090456339808732,1.579671110138287,1.0559563208636997,0.8614326550728968,0.8484952161338641,0.872562883794454,0.6911675882880864,0.6530031001879424,0.7430794775621805,0.7734500725071721,0.7831875398911978,0.671294039485637,1.2697163198987889,1.0068488086409497,0.9041267788975977,1.0276045233672482,0.6409166966382637,0.6306145756331598,0.6293197405323829,0.7069997423710518,0.9771941837756134,1.150169853003714,1.275274699169007,0.9154513742398289,1.009286639088147,1.3444905783591485,1.1479607510080085,1.095766205515373,1.3960631979014773,1.5514834250383334,1.354258992871997,1.3687558551237702,1.603062656280806,1.7405563209841703,1.453464318776796,1.4410708655684785,1.249078676665003,1.1362981373025889,0.9975300525569294,0.9000123685705161,0.9752370757896445,0.8864225249654499,0.7201905488381052,0.7492406736017759,0.8087328574165326,0.6864264124492685,0.7071320518364779,0.9122212421016821,0.8531353824116076,0.8159360349293154,0.8845083991128804,1.0363165061087998,1.007496735584717,1.0344657070204115,1.4225574788104034,1.5406377428696296,0.910204287442532,0.8322885590948459,0.7824537444515014,0.8300166537274196,0.8939666072753754,0.7546345448448578,1.04428386272353,1.5340019260172642,1.1200594283118726,0.756174818511514,0.580079342517009,0.6042670820238462,0.8705950545411515,0.5253821795488731,0.5455000343798351,1.2195762570981115,0.5388877257602482,0.5562259931778241,0.5610381285869401,0.47055898016769065,0.5307420399254293,0.5739180896395865,0.6718375088268663,0.6067757979514433,1.381835914143219,2.559796495571288],[1.9468373927820408,1.7542985799359545,0.5291416504128196,0.5156337673480562,0.4662730174878296,0.3912354879073213,0.33604840342549885,0.30680452599906477,0.3160260598056018,0.3380143646987626,0.3492920174387651,0.4421890047274226,0.38653282953379314,0.40916260890923783,0.47609734746522403,0.45392371244541757,0.5428462730665599,0.5872255603266826,0.7265601947902574,0.6535208280889481,0.779519360104496,0.899209434251675,1.0214600909883815,1.1655953341897076,0.8569404407770691,0.8273646179869013,0.7217878417054733,0.607889373774556,0.5546785624528333,0.5127044776096943,0.5714713249227102,0.5094759844844041,0.6140537735923277,0.6093136480954083,0.4968720060936414,0.5259853312709603,0.4962651863102789,0.5665374663990774,0.6032365023242164,0.6117483196364828,0.7626525405985551,0.7520549384594929,0.7833990483194062,0.940689330593072,1.5948571074029403,2.268166351449403,2.229326952657423,1.149209805083709,1.4471755703516425,1.64496343459659,1.0082131482289176,2.6007177550106926,1.611130268415331,1.301764149267896,1.444244756349608,0.8640084707072663,1.5471711117144331,0.9872761529070869,1.2044938729487904,1.2975732251543424,0.9405411038496974,0.733645760515828,0.7095623441632277,1.0213429526904998,0.8031724042079459,0.7109991942258261,0.8447515680939324,0.7189930752662568,0.8993296277272025,0.7132408322144222,0.9143128335773508,1.2390798433914059,0.8662030085032304,1.1189044388443872,0.6826795188667109,1.2037713547876367,0.6914322500566948,0.6756350649184689,0.6415679433844691,0.6536071788818625,0.5938824616712185,0.619933983233328,1.000198694248418,0.5547938668771158,0.7944933446983456,0.5188845002775785,0.5758993972439669,0.5703924863734666,0.5923307169620009,0.6836128411349102,0.6347858943105346,0.8582815252576786,0.7417765903544622,0.6244693344451795,0.5731275084556009,0.6566716764187374,0.5770866274728005,0.5451572800036971,0.49811400888612134,0.7501909892731724,0.5124085790577937,0.5914881920901917,0.5129597630061951,0.4620342233419749,0.5456087828527403,0.46548943949364735,0.519252512088652,0.46458717412956047,0.41941932786779856,0.6273788425452314,0.3922717117105416,0.37910543197851315,0.3428691765725511,0.4150390789917811,0.43354253287642264,0.5054058824904946,0.5963122263743761,0.7494309636000448,0.8256799493769519,0.7263662483107125,0.7015286751316745,0.6159822730011292,0.6749831177301129,0.43265228757435653,0.3492810233201187,0.397989572361964,0.3778443986070203,0.3907156170121344,0.3629195673968514,0.4763454811578135,0.44168763544331957,0.42655565649915106,0.5567825937745302,0.5588069472554882,0.6057417165472267,0.6691532543711827,0.5927273906338333,0.5606667626936808,0.6637239254213169,0.8470827641536637,1.1113465018795292,1.0055283275077187,0.7474947542673565,0.6492359450596978,0.6045034423699799,0.5591749053000212,0.5187009720727149,0.4663119941642429,0.41199069343564226,0.40826031490221465,0.4181060103936888,0.46324058165054754,0.6285342993837557,1.554011933011646,1.1647504820545016,0.553308385939712,0.46666419581197055,0.4360217931272297,0.445379604819674,0.4239100751991934,0.585655840313869,0.5020797434370775,0.5878256100426245,0.5725329686295618,0.6026125470878481,0.8239251237229024,0.7306072868361309,1.1266400893560193,1.081313284143274,1.0775557204998603,0.7639493468102415,0.7439638806187557,0.6034521550811205,0.5444530189139613,0.4710019074154178,0.43804257614672204,0.4717224713413291,0.6712441623455818,0.4930121181315326,0.4858265898987317,0.825388544426506,0.4732642755038158,0.5485654604472393,0.5365112707338451,0.5773837786666979,0.6695633950989426,0.679940557721806,0.8166422128996137,1.4942397364018885,1.0153942283067947,1.2043630276647128,0.8979147133824432,1.064583547548266,0.8993712436778523,0.6653612131333099,0.7575350679304326,0.6903029267334264,0.5180767350771732,0.4912175577903611,0.447133097920267,0.4830905473498836,0.6518503166293699,0.5300733482411663,0.6091248051833786,0.8542415775198003,1.0161269384008977,1.0462073030086183,1.0021703260456656,1.3101753161425942,1.3072615604428504,1.2365243264943842,1.4334531120970624,1.655241747998155,1.5936472014156156,1.5848832759749427,1.2921114043415058,1.6350038762827526,0.9804223062394993,0.9878187615072666,1.175148417688754,1.0304145726565803,1.5021217891214949,1.2833993297073472,1.758482653107311,1.1914782929052468,1.0239812572614055,0.9864666526767852,0.9208108149192623,0.7321723638947193,0.6703580926551274,0.7332121693935817,0.671133465696776,0.7664162229757864,0.5701139559381987,1.0764850439497726,0.8761895833322179,0.8204424717956236,0.8777113731664982,0.5198073004710708,0.5115671445485961,0.5592034341019432,0.783289284118642,1.018171427019409,1.1722471808812918,1.3063621873973543,0.9864144055302888,1.167390714037689,1.471189913345396,1.268635266647164,1.2803661075177557,1.6264033779027303,1.7817805856507927,1.5697990508406507,1.6139034790572013,1.8735491000338977,1.9844921570447216,1.7062745804535175,1.71871763850302,1.4961412498400648,1.3885651500626053,1.2132149339441756,1.1141597478352425,1.2007005245929951,1.0580989472488085,0.8429342069914968,0.878736784566922,0.931632359051767,0.7311393715382318,0.7374429188793198,0.963861810158613,0.8576537529787608,0.782279525183781,0.8290513401141596,0.9953973791651879,0.9734765394403908,1.0600070729794364,1.3296699641383345,1.475552530844551,0.9867248772439533,0.8652015367112317,0.8191952916583259,0.8866114795686062,0.8483540165163724,0.7796747451335188,1.0903810450059046,1.5729814137821585,0.9856285968226941,0.6259477596927904,0.45339245262976074,0.4500179278033856,0.8430202048110043,0.40755492480739963,0.4317625362879269,1.2868997368475055,0.39615340583911224,0.4683719856746517,0.48955042208755334,0.35758481370183465,0.4745328135956063,0.5388534608269072,0.6290776124460615,0.5869981492241291,1.219420632762774,2.585607416777893],[2.0844411321559253,1.8883541503157213,0.5665691466187597,0.543870682605706,0.5436639569246151,0.4259088194012786,0.3893962923279843,0.3894647605253469,0.4148221244638452,0.4311974152520175,0.4403208718621621,0.4923739205423126,0.470509583474984,0.47284464401043363,0.5493883247110054,0.49466503388223193,0.626393901013756,0.6542117805700401,0.780910399960438,0.7334136454508934,0.8386401011064286,0.9672007492655728,1.0972529806346858,1.2516178954262875,0.9441915477140445,0.8978578179079628,0.8000635650876095,0.6841439144391852,0.6359165802778851,0.6003711421337444,0.6435785021930399,0.546098680006263,0.6672151931969216,0.6750452850179273,0.5576620405369042,0.6160382556473686,0.5606682756718697,0.6705069982403972,0.6915583394852998,0.7304695755692923,0.8381253834668204,0.8377027335426355,0.8776669695328255,1.1040808023222453,1.7774354329825628,2.4972461494506977,2.5549574471268857,1.4010932394002165,1.6597414515902325,1.9924559368956793,1.3534374014302806,2.892429761432581,1.8289838108725427,1.5226252239436346,1.4767771788621644,1.0062297283903145,1.5762347295741188,1.1413446711367183,1.218552460399912,1.4840305650539103,1.0466577221945326,0.8257019631079151,0.8003941247640955,1.0543630273528288,0.8681862408372288,0.7624875036597393,0.8677795554980547,0.7826732486288889,0.9590380702032271,0.7728291543714447,0.9250198605127641,1.220901296427942,0.9152263342302598,1.163039462999686,0.7619559178633782,1.260409864307683,0.7924251906425592,0.7694068094837894,0.7362016495534729,0.7746531658957562,0.6839749308801327,0.6985396853087278,0.9744059905639557,0.6470845787904331,0.8682134797355683,0.6052874632048775,0.6640062086885488,0.6523066971359647,0.6824194746783456,0.7530062035666903,0.7309225787145108,0.9469998526138835,0.8489049649325271,0.6950732125752339,0.6334261518212629,0.717850031757669,0.6758648862647892,0.614686700333448,0.5594974660745895,0.7268357784098739,0.5740874340488111,0.6817083460843367,0.5844382135094028,0.5365395784630407,0.6410921790919529,0.5730848623061345,0.6072328843366218,0.5589209349068469,0.4992813929237637,0.676422694544708,0.4587879390789383,0.45508819702265124,0.4318249274133352,0.5065103400327562,0.520359535762472,0.5691892240674838,0.6586758956649701,0.7962157494891345,0.8768414680110364,0.7471061672842385,0.7274632948624783,0.6533101062992802,0.7277487300076015,0.5098595782764055,0.4491078862478222,0.4741435934689802,0.4318772184326299,0.4561315289625251,0.4405759527250623,0.5533804130082388,0.5287458596835176,0.5222781944287446,0.6458524909794567,0.6086115868563804,0.6794477089096906,0.7555224361276963,0.6595486227720844,0.6060249773551809,0.6764534166110727,0.9429823804567294,1.1775149076863582,1.1105181850635264,0.8263059453730501,0.7287429181868661,0.7056350368970407,0.6631010574539584,0.6105699860072756,0.5704780740041187,0.5162990769519031,0.5149912654321139,0.48842075259687,0.5293113450284803,0.640941933545063,1.448778852025989,1.1600822168659433,0.5808838240859068,0.5254356620887259,0.5114079740569938,0.5106140352199734,0.5256706337420256,0.6583758228468028,0.6131760438372986,0.6836173626573364,0.6780025021189989,0.7286642651688545,0.9249778399893812,0.8654167886956325,1.2945980361828235,1.2043892061497137,1.1540110539991233,0.8530180671883437,0.8194333384441643,0.6959828098628736,0.6549348558178684,0.5959887588830107,0.5527725549929405,0.5957389162679675,0.7038387977170828,0.6074922494048307,0.5848438190873083,0.9763810926807588,0.571296003513382,0.6681053818031982,0.6650686706264263,0.6956679880333083,0.8093198349444628,0.814372884754942,0.9628536284315251,1.634691032021929,1.1758815911389904,1.3587254028205302,1.0125988139172055,1.1735956976533402,0.9964317860300598,0.805919974051315,0.943504923168646,0.7613865287067632,0.6305697816032564,0.5942180079259666,0.5476282109214242,0.5217180955660219,0.6194761632849854,0.5418295229253356,0.6096677403190665,0.8083596859976292,0.9934954476517359,1.0226836120931817,0.9920684824939103,1.265840000491869,1.34141318686882,1.2683343651424868,1.4461245149428368,1.6914560928026938,1.6308279988321768,1.647933039979408,1.3744470506126847,1.6064630497397896,0.9979311215385867,0.9821770073629424,1.148187588330065,0.9914296442915576,1.3625178600166603,1.2287940438284977,1.632707961910164,1.0983839976874765,0.8882380536628226,0.8677999846441138,0.8614710596064524,0.7237918575314408,0.6742644280213098,0.7408763137805635,0.7789982864631951,0.8347711198929428,0.6795275192705849,1.1792685310300202,1.064292905191609,0.9492257465306542,1.0257359156344266,0.621891462233681,0.5778481554439484,0.5964777037348661,0.7245323574359632,0.9259667232407862,1.0601734028114633,1.228434788853328,0.9124174033355283,1.0334313549875611,1.3256004992622918,1.1802633886062959,1.179632263139062,1.5012724511647295,1.6773622110334159,1.5051914250512488,1.516983983124611,1.7670786580510076,1.941898124370284,1.6524920928473594,1.6339242485041015,1.4204425427460081,1.2784722397046797,1.1074697684364325,1.0122907468094728,1.1063713543557576,1.0083169616745349,0.7802929767545898,0.8315351171105786,0.9055678234791342,0.734736954875502,0.762430335979258,0.9944564470828805,0.8834133247191512,0.8470937261021343,0.9211733883179124,1.0756079949265505,1.0228937805342864,1.07924358853277,1.4557485475901097,1.4978747422926284,1.0133686072454446,0.9134481266819784,0.86896952942984,1.0265398771481957,0.949368888690117,0.760035058536433,1.0830877495314608,1.5610642122287561,1.1034360121060154,0.6550771026039932,0.5136204624279579,0.5097040266237226,0.8905149622689602,0.47077224529116,0.5044242436677985,1.1474941680547717,0.4713050898823889,0.5309580133684482,0.4756667456464155,0.4000917552981542,0.5155027202293895,0.5476180910705056,0.608723255973211,0.6208469344765777,1.1917363005611572,2.2754689295641626],[2.158452377667492,1.9249792456157235,0.5900912926732168,0.4920659307046429,0.4523792735062928,0.39910398425776794,0.29428976072023455,0.31477091581160427,0.3388790638978588,0.28945029316732396,0.3152213025298351,0.4206271576677435,0.3152857318592153,0.32666880919747915,0.41198184568337626,0.37115969471111093,0.4641960469231801,0.5102754826397138,0.6509219183811769,0.5709026060039386,0.7120302124020612,0.8473717274124739,0.9984829783562746,1.149181864466626,0.8001380024937798,0.7641606790504012,0.6238962205979723,0.5205054448783448,0.456333168326182,0.42707201333005707,0.5127871762849838,0.4327809188139867,0.5659236921602822,0.5389407271644845,0.4202046906972472,0.4602609123207612,0.40733190373886036,0.4909081699419953,0.4983715482038152,0.511802601509409,0.6639524415954502,0.6614127152000923,0.6932110617706901,0.874973625894339,1.548825371783914,2.2626377571531924,2.2938165500376133,1.1410931087723608,1.4419761023180944,1.7386056049146117,1.0980503966358521,2.628058347994461,1.5933528413188256,1.2993228818189488,1.4383513791936309,0.7980566870329906,1.5051495245077582,0.9853127742136013,1.1575918321823724,1.3239545643011956,0.8939628986871169,0.6830922360641839,0.659075164149997,0.9584672115969279,0.7283324618919794,0.6503130499032893,0.7941273815543348,0.652719590042872,0.8579805060506129,0.6704538640029735,0.8724076502619947,1.1875470090338671,0.8369042562469785,1.0811218642766087,0.642985709127025,1.1755509992951287,0.6301580155546046,0.613235314213549,0.5739745502442666,0.5923430909313817,0.5107379495995622,0.5638445863279999,0.9085319282686818,0.4607292796531461,0.7165725386716317,0.42232534637063374,0.49377542802017393,0.49637853886527333,0.5210069253181825,0.6287008780760501,0.5757422319176106,0.8283231817748032,0.7084832958553774,0.5637549723176232,0.5064934829004273,0.616313575483509,0.5288813739221956,0.4886827125569596,0.453096947031848,0.7045820666324781,0.44398410800497023,0.5803108345101455,0.42872848188062107,0.4333541258018582,0.5322601096866747,0.4623096470350682,0.5159690291168413,0.45051738599901087,0.42727527178182034,0.6426284032115193,0.4081179757914602,0.3240208730951777,0.29529657151142763,0.35526289269732547,0.35448196323158204,0.4289051876548386,0.5125941410803664,0.6832797858539303,0.7666120698521417,0.6312749126452836,0.6117747185697592,0.5278202889450597,0.6102402874038791,0.3749684239529458,0.3005123955090637,0.3357193279262059,0.3493745729222688,0.3402405121885116,0.31440020396124513,0.43720540211636966,0.3964384243861508,0.373664210344323,0.49602377851541996,0.4929211826932634,0.5492302503190948,0.6643562316916564,0.6056286196890104,0.5283384892152634,0.60510878292587,0.7870999410278195,1.04408366203528,0.9786776975307269,0.6735798633890113,0.5705356567508578,0.5283119204193223,0.4749786322406381,0.42307558185305966,0.39159508144775274,0.3395461414979822,0.34824263175517106,0.4019804276972411,0.48885856645933107,0.6635286511265365,1.5406871237844508,1.140452327778151,0.5309988522527879,0.42330136517983324,0.41004982184983774,0.3732404453780426,0.3721576526610173,0.5228754375248478,0.4094023360476402,0.4963957416448815,0.47213100025245064,0.5496155835218438,0.7977337060956285,0.7484672969935541,1.2012126290386134,1.1496694875902003,1.1107925542737598,0.7635855947266921,0.717211799770894,0.5423817948969887,0.48303309542633355,0.3872078030491078,0.38364171775806516,0.4114845970817867,0.6094152531016825,0.41903184228765317,0.4312325199065247,0.8170924488766613,0.42628111795801593,0.489659317124396,0.47091037945446196,0.501500148798204,0.6082779886101066,0.6184630177181691,0.8241903042798334,1.5568972018895981,1.0481327164652823,1.2531740811497203,0.8671942537058361,1.0491070839304073,0.9085368569300857,0.6911726292839765,0.8577911835971515,0.7005849114591354,0.49277077325209157,0.4844534098315125,0.42821105011336486,0.5418696800605121,0.7189498754370462,0.5724121375394849,0.6724852451736664,0.9668778027831895,1.1373345945113045,1.126616157199825,1.1303757283436442,1.4843659606792063,1.4878206607916584,1.405355534783297,1.6374158964820344,1.8842112212043223,1.7628416284549668,1.7894457648583653,1.4715429148304915,1.8132156187581174,1.105364540135772,1.1200906111658235,1.3445334539013383,1.2045621713478225,1.5343034528664763,1.45321982603147,1.8686122649232408,1.3043165936910543,1.131266283919366,1.0547914083527639,0.9379358350440198,0.8521339859679592,0.7673616048211118,0.7922064854839624,0.7247348368474263,0.8280398775807513,0.6314617829293739,1.0693204650450117,0.9669984132435633,0.8496040386090582,0.9356553170377334,0.5381678158216492,0.513284649030331,0.5826732633046952,0.8335709889095436,1.0303937497294384,1.2282825643053727,1.3409804206785292,1.043291025850077,1.275094607897934,1.5426465909151206,1.3622851631990702,1.4017506365718224,1.7699179235807767,1.9359881379234976,1.7473972261157311,1.7978248188661479,2.0794598329407483,2.219559492489278,1.9236683487824568,1.9367601167339623,1.6954325354239699,1.5615881630448623,1.3594902037385925,1.252716519161523,1.3623268906732628,1.21047163713612,0.9692996747241307,1.0097322759691068,1.056717480198214,0.8115426268515469,0.8174207193796182,1.0563145931188065,0.8969862531494255,0.7981858064376611,0.8846070735234395,1.069247997839441,1.0055067168019458,1.1148298703927557,1.3315714891827621,1.4222639157774561,1.0576867848623535,0.9070814779827417,0.9114678172136893,1.0607307689645724,0.8751584332220419,0.7924626900000931,1.127798682647263,1.629590460857785,1.0161753862930023,0.6142474518773187,0.44874631669677095,0.4313966238347728,0.8823598808220825,0.4089972509433387,0.44060568609310136,1.280914245130172,0.3746340909979981,0.46646685381694325,0.4532396703793727,0.34451295715684105,0.5340982019427877,0.5783310135785344,0.6356165615029291,0.6486618059511651,1.114435956846628,2.3667104888373895],[2.144839396722582,1.9023876512686606,0.5333475631310169,0.49849312384051614,0.5849288044927409,0.4003211736476867,0.3721681902729449,0.3680664268183432,0.3946001945236031,0.3732453154928578,0.37427267089203636,0.4608515220603273,0.38986112730085265,0.38478521288262363,0.462333851030475,0.4034987502529562,0.5231474185169916,0.5179891399243846,0.6784008708821123,0.6059063015705911,0.7374394386886333,0.8938414787964568,1.0207440538699144,1.1693847986095824,0.8572414780104519,0.8086770826745717,0.6789403087298288,0.5756761094213867,0.516845532141189,0.4864736142970872,0.5324837842645451,0.4703923708268511,0.5351260456209748,0.5581735827655286,0.45692898785185926,0.5030154982961111,0.4536172107982656,0.5594414809375334,0.5609551450713547,0.5823803193328666,0.7048667723148039,0.7183460834937442,0.7447496925135141,0.9131190862982457,1.5955220694727403,2.325258911546697,2.4409122773743843,1.2578401148978502,1.5167678299044425,1.9260272529286837,1.3110574792410283,2.727824035551574,1.6534999414815774,1.3623200431690825,1.4751884363232675,0.8505892590970349,1.480580447788567,1.03054970296932,1.1203421249315293,1.4659046463529903,0.953020177048731,0.7156352092198311,0.6693350031295647,0.9338397461839067,0.7556091310618214,0.6677974283167404,0.7817125881451615,0.680799238955196,0.8672789363439568,0.7028914618060801,0.8639469645137816,1.1660730468253613,0.8607406481109009,1.0837453299528774,0.686190051826592,1.1947702687294157,0.6826868027545556,0.6476339177738619,0.6154528231078595,0.6493334912675132,0.5718086051349812,0.6317234615793671,0.87350896205191,0.5417039394345837,0.7992686018564803,0.46947714987083466,0.5711205991541262,0.5425009349224882,0.5579097079909204,0.6487987284966351,0.6082364795052714,0.8520960736066582,0.7378741091814125,0.5627052615641385,0.5158948909568982,0.6271451574403852,0.5883257184437917,0.5344433640681066,0.493178083848706,0.6649540491128546,0.4661406299964907,0.6103106800495645,0.4736883538721432,0.46930070693727544,0.5570724991681791,0.4945131447721829,0.5330756891166017,0.4812560501834155,0.4398321610067235,0.611887264707746,0.3898112279895323,0.4000251651525779,0.36690599804136764,0.46224702552479924,0.44140409686300647,0.5190871496203275,0.5587033008292004,0.7344248299191332,0.8078232366114277,0.6205941548749049,0.6161092554023769,0.5583479214571488,0.6308960338122587,0.45810944236360296,0.411590674571904,0.4362862947053335,0.37510065844467183,0.39419824864274144,0.38945258971115015,0.44512668935704514,0.464125628666268,0.4555856934689818,0.508131600625123,0.47242462086813636,0.5333859465722617,0.6370407852831776,0.6040118022745956,0.5811449066050555,0.6775220836820233,0.8413244396815613,1.0818167071998135,1.0549850476751217,0.7244623419367687,0.6402719269946057,0.6245975723861316,0.5450835144056945,0.5028116745226038,0.46329187434683977,0.3975978319646243,0.4491999425996243,0.4390458434143278,0.519772648737925,0.6477806625866143,1.4388277620848735,1.1134044094734168,0.5392414553475833,0.46480312327819295,0.44170808565020075,0.42521595402368073,0.4335792459819433,0.5490017901297914,0.4845528721355179,0.5609877563998648,0.5556039625806628,0.6083436857463302,0.870119067631089,0.8147215128577032,1.2978495962348227,1.2016007216148006,1.1277074323957632,0.7838653185652223,0.727860085638269,0.5663925159587584,0.5160305716332377,0.4259049347892312,0.4151616798248432,0.4742931482041997,0.6129929757704968,0.4366480531982263,0.44974764445288296,0.8901360563274424,0.4580229076745617,0.5420028041584325,0.5319568895071952,0.5592571177972896,0.6721041744703111,0.6582107388841589,0.8956346026365777,1.6101323075305132,1.1122658157670258,1.3124887893074193,0.8620854525489673,1.0455639199275844,0.9298971514239497,0.7743431834764889,0.9937939007232772,0.7443306219443878,0.6227663037692297,0.6021050901718649,0.5289644404632996,0.47699148330401797,0.5617891372746159,0.4837020289580022,0.5550306346667774,0.7635417148511408,0.9534863331219573,0.9681589920444401,0.9649334063422292,1.2628632916875056,1.347322671239923,1.279469477372965,1.4752900252660448,1.7447198838546647,1.6500189989656564,1.69485142482624,1.3927641031360511,1.6273746210832243,0.9945275258855386,0.9821609098023085,1.1661930309262494,1.036742574091383,1.3538116118342816,1.2832463420600064,1.5804949553261973,1.0966773464510342,0.8836262466562754,0.8372537395797257,0.7838342586594593,0.7459828953167452,0.6724306141324167,0.720854265279689,0.7898493885814055,0.850298428879044,0.7023771259035085,1.191649643488153,1.1724910337648804,0.9757366953573161,1.1261214259713057,0.6328824877904489,0.5223301861013221,0.5370157628321968,0.6622976428231726,0.8385548980438421,0.9802863575500798,1.1536484910711005,0.8582702419994026,0.9992774491590554,1.269361909820264,1.151751122955129,1.144974290803175,1.4764513504730052,1.6568278050654457,1.5065761808999858,1.5204707930018715,1.7781061347329088,1.9872146578607646,1.6863637833466893,1.6643048346785905,1.4354730546931858,1.2791561316795623,1.092221514933007,0.9884838299897868,1.0970887741046116,0.9954031520394426,0.7601539244151079,0.8190219756820176,0.8789492339472119,0.690378173496421,0.7540642742297415,0.9913906741237856,0.8508723630927193,0.8648636109700665,0.9539217249051826,1.1386386665378716,1.057757368350009,1.1236748083744907,1.4749419018895575,1.4906637355002967,1.0240297942011205,0.8927986502717944,0.8418700912371094,1.0535982148619567,0.9007094551579374,0.7852350478085731,1.1691204952938048,1.714610750372574,1.2000347428898606,0.67794290602069,0.5128798985243465,0.5295009056057627,0.7870186919477568,0.522251434440826,0.576456776743846,1.029397491932603,0.4948811952273496,0.5944951221013284,0.45658494551612766,0.38209185950667185,0.5259222749208647,0.5490175671066438,0.5907637941046671,0.580851771470016,1.0519530128252335,1.965761710566396],[2.6267602558577385,2.2935049737718205,0.8743532981692187,0.6598253642613416,0.6301977191895731,0.5798117469176695,0.5381681072076651,0.5412833167255963,0.5518200438099217,0.5753693772228382,0.6078479082987137,0.6332309309439326,0.6193200292601649,0.654574689604094,0.7245117202883031,0.6797345418387126,0.7735188252606912,0.8212599696154151,0.9614895182151779,0.8649907297940832,1.024010820184852,1.2091599944845484,1.3298858708323296,1.3998385445762704,1.074437315273817,1.0389029124149005,0.8691948294393337,0.7938303134742523,0.7749480517034476,0.732607560467842,0.7947649824719065,0.7370478238469018,0.8104094224772249,0.8258413573049669,0.7590369128730957,0.7909199199049446,0.7043316485170973,0.792867179053182,0.7366760267349786,0.7525391625356986,0.8444350095070576,0.9373127276789068,0.9735629341156048,0.9594183263360946,1.525366018125247,2.2532991686692596,2.396383172592899,1.3052926579054513,1.5881343528160294,2.012922627860347,1.4394872872997793,2.6692361481887934,1.5758663220658664,1.3818296951809657,1.6878199617628504,0.9321726903755277,1.472801840357317,1.239061207166048,1.2853270096437555,1.494981504601617,0.981860089014341,0.8767274646635674,0.9257906584658079,1.0801043583097483,0.9405511976544882,0.889588267391881,1.023162911393493,0.945715041781368,1.045921995127222,0.9948558120996676,1.1456137802523871,1.339034609088472,1.1068144403144726,1.3126331946623286,0.9598706081976205,1.4288712086107858,0.9116937004562369,0.9040099135812527,0.8569315070625858,0.8901376007223256,0.8117597411928086,0.8687838081327928,0.9047043119538754,0.6595525229786309,0.8877549512832265,0.7047391623151844,0.8347837572112553,0.7819583985148574,0.8275356952329691,0.903860364215315,0.8874925932033783,1.0621966844404847,0.9391703831772034,0.8098200034089478,0.7909410481147334,0.8546458432132252,0.8341712289224004,0.7704879657944106,0.7189500023758566,0.7946724282796127,0.71007670329719,0.7878636119742164,0.6546081324964742,0.6285846837295714,0.6789854035724099,0.6539990544182405,0.6489830972351919,0.651708425645531,0.6268374461379194,0.7170552858226692,0.6018023065973441,0.5436288883619326,0.5209675883797915,0.5755368023622632,0.6127821544767269,0.6469660380511136,0.740947127898629,0.8133728817003858,1.010038932399148,0.8523824776958887,0.8482084048566585,0.7759471167385428,0.6769871927215956,0.6034288660236192,0.5484310488985906,0.5421226097437989,0.5608912936925022,0.5283811581941897,0.5641390649368474,0.6307623413980505,0.615939457675093,0.5975450013657628,0.6780530799182858,0.6329470354591357,0.7079387272411998,0.807714787316241,0.8792835631643096,0.68313191178254,0.6559540093134753,0.7510257548524641,0.9541565155104308,0.9830259173250739,0.823025206189311,0.73457772880626,0.7545545820805848,0.6975844807050974,0.6387539842243694,0.6260199862919458,0.5538328238059314,0.5898236854214511,0.5846407030760609,0.634203912026471,0.7578253258512981,1.416479805020608,1.0869595646018555,0.682995484293328,0.659616933749141,0.6226499471345107,0.6275587543037281,0.5671173306663235,0.7107423029459696,0.6333073065474615,0.6035919586058952,0.6531693349209915,0.6831070126138543,0.8413531028408832,0.9063811629853538,1.38095154365697,1.3584590798713654,1.242135552973031,0.8946015320878514,0.7760622500878194,0.6744477715009469,0.6182743152143235,0.5661996287029137,0.574569031577329,0.6558718890587786,0.7404974884579543,0.6204544809019293,0.6102462269482275,0.8823951292431947,0.6159997919006452,0.6587087968022175,0.6523154030971826,0.6477433667105935,0.6706438038248043,0.675297935012115,0.8453384440647399,1.508097465320841,1.0999397171408054,1.343360466643155,0.953170959388116,1.2262046640111957,1.134204084897824,0.9491623455371575,1.1161895760126863,0.8672027855210676,0.6859988772842549,0.7166881362607592,0.6345414642024786,0.8537681848452324,0.9727867732944793,0.8499683153873528,0.9881987797286157,1.2837525796155784,1.4453176403357797,1.4362114203666894,1.5196485700514422,1.835872525170759,1.9046145703784614,1.8936647485118134,2.122130207356784,2.333995279031113,2.2505539511560873,2.372353609926585,2.0739225725285273,2.3074629650573923,1.6054410322235115,1.6084985306929547,1.8245759249369329,1.7039057584172994,1.842391549007011,1.9265104605004972,2.112170175398193,1.6397233048400748,1.4132507245036305,1.278162514896613,1.1711121868491159,1.209064523846837,1.1104610049079322,1.023839511020189,1.026381849536309,1.1173566657435234,0.90080145606866,1.1579952407221008,1.23850425980934,1.044041914937047,1.08048634817336,0.7891235746797661,0.749852760923364,0.8076298494987952,1.068069807563933,1.1274608069005894,1.3453081008074266,1.3750342651355913,1.1826252411397367,1.4457108293799992,1.5925422323238652,1.4642980832373915,1.602624696127349,1.9336002345619878,2.088579254791993,1.9952364561681248,2.062333910577181,2.304246998412432,2.4978434545261434,2.278165840992416,2.277746448789801,2.071811365414597,1.8911281645094133,1.6530272854264334,1.5597152866823834,1.72742577042896,1.5936841510047615,1.316543498216543,1.4069059115024465,1.471812341751293,1.172989273267396,1.1895736263789614,1.4114564362391926,1.2070576588240045,1.0390125287227967,1.1164859325448888,1.2099431369667533,1.1370969895712675,1.2556586180777565,1.3780414450013347,1.3207519313353897,1.4468959420388914,1.3002112066103182,1.3781229415178937,1.6762721470819522,1.3268542900192688,0.8899636208738252,1.051418492481496,1.4345048262215585,1.059897014673412,0.7848499056505225,0.6755925156031916,0.6880521791417036,1.14563791797734,0.5937942649316601,0.5708220305945968,1.1702938304877035,0.5339641777719966,0.5769453742876017,0.5339182256059685,0.49055731180606416,0.6809996198532702,0.713136829970833,0.5950894832048422,0.7597480313227872,0.9800908801380227,1.8193628814894873],[1.993034550478216,1.7355665889878198,0.555365898593622,0.5241689052262355,0.744436234382285,0.584380407132997,0.5143684513415793,0.5166646817931755,0.49534775878922366,0.4484962746773965,0.42435219879410735,0.5046682466008007,0.453047200097344,0.41464683091176474,0.4618424481513471,0.43711534908079225,0.5269707890807742,0.5000211140962058,0.6239619145497834,0.5946500379777487,0.6722826557239885,0.8381517755363066,0.9162969761956898,1.0228317143625365,0.8156114883675653,0.7528906443991753,0.6668215930135187,0.5588137241361519,0.505157984046735,0.49478506966836705,0.5262959004238368,0.50222439865002,0.540418194450311,0.5344936785786989,0.4648054289990876,0.49728431793100586,0.48406516912102915,0.5678826706331721,0.5597264878893115,0.6054151779527527,0.7368415477418071,0.7028053763912715,0.7213477083115963,0.9877892791732154,1.6560123758832916,2.381607002356673,2.550298417964529,1.4015722570287479,1.6258044295229026,2.106374234135129,1.567309433221149,2.782187140847411,1.722918538579894,1.5137483702046381,1.6076573547668662,0.9406162310956951,1.514762263641206,1.1597790772948462,1.1440525021454417,1.5118879843380328,1.0029196369438298,0.7202249683469087,0.6482142400280039,0.8346157102552321,0.6978668360740782,0.6236580940906158,0.7527841048222645,0.6264362302671376,0.7837615613850354,0.6618837305022887,0.8264829976994972,1.1485879652756246,0.8325266432713757,1.0440678054107155,0.6371472295513794,1.119343007895382,0.6252130816147025,0.5957191331619694,0.5693843151804873,0.6313553848210164,0.5661705705415536,0.7366449042417401,0.8146254071003941,0.5880498668060334,0.7836561740846437,0.519255569385281,0.5799117310828996,0.5822776828646777,0.537224724672069,0.6169248278075254,0.559307505948161,0.8002196071293022,0.6969266179371716,0.5389094102015158,0.5197104256426023,0.6252900589842343,0.6151287953345252,0.5321412849178094,0.48461677945256326,0.5901175686648412,0.5059398475296903,0.668980380584883,0.511391027407541,0.5756077222530933,0.5873017221390383,0.5763181264432176,0.6155027560238415,0.544913753977017,0.5251406833561549,0.6086657408209711,0.4969517497581133,0.502178208187649,0.4873964357879849,0.5208074424593494,0.462458052188046,0.5193286662386968,0.5275711546418752,0.7789397779580425,0.7289490158325798,0.5810959221637316,0.5887515693917261,0.5429103509596456,0.5753979524783077,0.47742534949760906,0.4665496078359298,0.49753944421117546,0.4921873185079417,0.4641373122844647,0.48295897330486176,0.48337619532736864,0.517874834483671,0.5351409604335633,0.5127107215146472,0.47169959674299,0.525062843557499,0.6427328068460268,0.6567741554000116,0.5689139992154435,0.6316643544180577,0.7861974865096003,1.0376848932239509,1.0518042687408886,0.6798689357327069,0.6121089559427295,0.6017059823201408,0.5423024125576921,0.5112115312723124,0.5039019657099991,0.45628129070208356,0.5339529019005597,0.5457042370026077,0.565052611512283,0.673697145951396,1.2328153601225118,0.9710157458663317,0.5635913014383702,0.5156621439454123,0.531581545973474,0.4783456114022137,0.49696056042388115,0.5704850010747511,0.49538263835290225,0.5388167147883869,0.5357825970394077,0.6235355138997949,0.806286669062306,0.8475560989343524,1.382691752299305,1.2767133720695099,1.1876609873342776,0.7971650251525894,0.7364920322046588,0.5872172359029528,0.5364414394422178,0.45988657192282,0.44313082284002026,0.5055411180045221,0.6115960349809677,0.4783234217562599,0.4823271411756124,0.8703623021811256,0.4784224773270011,0.5209232035691422,0.5479286447511563,0.5569395888545402,0.6161517927222532,0.641599734799199,0.8222097952706322,1.5911992188786725,1.068138290056127,1.2900564852572725,0.870403126423861,1.0850551930207755,0.9602294767916089,0.782559033728425,1.0046103046324566,0.741086664458501,0.662724259062356,0.6730991431139474,0.6420200809857746,0.5892779143974132,0.6092632648856302,0.5576773720937552,0.6060402757346046,0.7496448408801833,0.9152018014490684,0.8984546115329608,0.9141430551304361,1.1770498216110035,1.2920534006899829,1.2217609206348288,1.3850379239272148,1.6635119228762965,1.5804568511624448,1.610926627948943,1.32450930929078,1.5300820621667544,0.9465939665613043,0.9454666476411289,1.0982926126402897,0.9964641961846633,1.341841270482709,1.2490716058968931,1.5605496695725916,1.0861070765100957,0.8694604429362633,0.8656958630589995,0.8562774430686518,0.8466855234562864,0.7737237015259082,0.7741185462159029,0.9127966033051371,0.954487532460853,0.8153383286881255,1.247425909714336,1.3230721044862555,1.0598641716931037,1.2287028903585602,0.7382334967383225,0.5586959369191931,0.599611516526417,0.7038212326610485,0.831335043561253,0.9504000926521249,1.111762585596155,0.8706415150855041,0.9351294130456121,1.1655850389374816,1.1134099575814427,1.0459009827801657,1.3246637578162217,1.500742957301354,1.3789840204686479,1.3740332709651135,1.6047101765146645,1.8364697557181073,1.546964023871994,1.510291936424152,1.3119529658048854,1.1592584106306782,1.0016841603655944,0.9083283547646204,1.0163195246897565,0.9388013103862015,0.7588878514036209,0.8199544750618164,0.8740250803721935,0.7407963427771301,0.8305975381103811,1.0534352186942544,0.8903840309003337,0.9688323819557451,1.0541845246640515,1.2478286046711546,1.1327076763935728,1.1734200561288737,1.5300939091331784,1.5158273257229886,1.0304244413046735,0.8732630563161649,0.8242583264050565,1.0799310143009135,0.8978703949345747,0.8549522205459582,1.2387441384516205,1.8149660236565488,1.355993521992419,0.7740551599964173,0.6092924213229901,0.632383476344335,0.7798531433511704,0.7409118690387361,0.8388515828807777,0.9252025764406973,0.696281636645979,0.8784755406678614,0.6133495141168424,0.5373585922579608,0.7658927456882884,0.6084085447843668,0.597559496891095,0.6797085690377146,0.9651189812296407,1.5778704074258822],[2.1357348915946694,1.8839484421498875,0.6571078639391681,0.5218615787739539,0.6704098917767559,0.5896794215440916,0.5349965268766531,0.5317680315356896,0.5154508175774575,0.5286037308542428,0.5129263233217622,0.559204266848572,0.5696677570364331,0.58080116317203,0.6528546435686876,0.6192970390868059,0.7079426597507896,0.7439985865210378,0.8505716916779567,0.8544152508373118,0.9762446974906953,1.1129977692209556,1.1882845094189487,1.309024740138764,1.129931377323344,1.0526926163521737,0.9305441663196304,0.8080618384107341,0.7388417185248369,0.6694666685574426,0.6925170674476422,0.6331848852729794,0.667764495844885,0.6982213189469443,0.6565078690738372,0.7061567920213457,0.6692627295444316,0.8021723867505067,0.7979386634540923,0.8776132049760196,0.9831591850541896,0.9514241915793352,0.9836040067787075,1.3485253759752596,2.0134078630002596,2.7384709011772705,3.0158194686620705,1.8235984108387198,1.963030355233274,2.562542490068623,2.0385867020636104,3.17228088328875,2.0673753215245885,1.8357314080204872,1.6837750008846217,1.2584896048346959,1.7099346478162125,1.358447389435515,1.2600027160253373,1.7243325077514056,1.2701466595440922,0.9907318173559208,0.8839436646305768,1.0520764837291467,0.9739868203933164,0.9147243924255365,1.0014904082610023,0.8249582452094794,0.9264721446485115,0.8379169222771052,0.9934075602479273,1.2889971143080672,1.0161249078283123,1.1794482269263298,0.8420522972580207,1.218175970624128,0.8525288370420556,0.7875497257407478,0.7748980589521599,0.8484954615652984,0.7412228298435212,0.9479800923808579,0.8925553038590887,0.791256478077818,0.9254137790206795,0.7297115708363322,0.7937223529773039,0.7901932212258787,0.7732836358384326,0.7737064176580226,0.7535262122540312,0.9457210332243319,0.8654287458464395,0.7186753031587306,0.679367904925193,0.7683899812907232,0.7472279236591528,0.6339448647451037,0.5760907604959378,0.6318404327277568,0.6026810433526447,0.7381036558565102,0.6119079164995787,0.6380319722305864,0.7520185699331998,0.6811811722130061,0.6874241558501816,0.6844158899355306,0.6262390756303997,0.6432989922178226,0.5714772396674807,0.6007224036905296,0.5571614772259404,0.6490327100286009,0.6152563523755417,0.683900031958438,0.7716240910090318,0.9710852523183082,0.9856186768571293,0.8019733194883076,0.8175913084402737,0.7589449865226402,0.7675938561550426,0.6453237767773377,0.5935144153673484,0.6336890978175883,0.572114664970846,0.5888987803716786,0.5911371392503747,0.6581568698456202,0.6622641019697147,0.6641144368191774,0.7942856337162643,0.7033749128247232,0.806728764346549,0.9167034181269743,0.9099635715198359,0.8299430903905746,0.8385571638523731,1.0392245111448195,1.2156330166131257,1.2802892410009448,0.9421274971681313,0.8792105049430082,0.8464942822070661,0.7716822751132123,0.7394234878098926,0.6649230685347167,0.5947582260602141,0.5921796564179411,0.593212500247452,0.607226325275056,0.7210654316880971,1.2474851510702414,0.9640316531525921,0.602860072040343,0.5715573822918939,0.5886122508156557,0.5829209562044027,0.5957279907837545,0.7508227678398489,0.7050986198098173,0.8125075713247586,0.8106373876458047,0.965907200429479,1.0850016855365074,1.214339476634147,1.7355772877908129,1.6146568367793623,1.4902589655501124,1.118459966805886,1.0591019252618676,0.8949582198275483,0.8180206875863651,0.7345697737615132,0.6684953622932,0.6763441157185235,0.7278804187005918,0.7315704751053479,0.6999612735443212,1.1271469155839489,0.7108117387960152,0.7962399647556995,0.8280280073977301,0.8542594971550859,0.9452954624322416,0.9829521077694081,1.1681855323102401,1.846381815304431,1.4186099783245816,1.6437271076256665,1.2466540969234026,1.4332811257270885,1.2540113315274601,1.0485308949809493,1.1504394917209513,0.8999690679685781,0.803897598815812,0.7970832330021832,0.6962590733466397,0.7356304343523538,0.7342685561334873,0.6770594617475058,0.7786785780356221,0.9157863454514995,1.060913955432448,1.0880629665891397,1.1156044276975352,1.3148873525960567,1.4584571289687445,1.4226924732594475,1.5562050094919944,1.7893778319335747,1.7417549946412458,1.8156340350337823,1.5708823370509075,1.7179578621291711,1.201914510084611,1.1595469844577997,1.2962721876610053,1.2015390420508074,1.5274392581010496,1.4398738082375522,1.6973641675396554,1.2633595196150764,1.0465173708472524,1.007406987989346,1.004282405167234,1.0120875311943556,0.961073931440197,0.9628470292621987,1.1097343433114069,1.1188285790453956,0.9945340652822707,1.3231289302818507,1.4708460687907359,1.2043700064189158,1.2996572073875,0.8821631824875134,0.7405298036114752,0.7684477813002074,0.8590067949412605,0.934502605624602,1.0240312048648215,1.1445568295178115,0.9729780033757994,1.0234752184970999,1.186638906556061,1.170459093981225,1.1445227727263048,1.3921171144018714,1.5562405820588963,1.4742275134099874,1.4652265239051745,1.6729549697395483,1.9118670147209795,1.6586747031724831,1.6240521122989224,1.4476561195229651,1.294697450944561,1.132992601105895,1.0540627399214264,1.1887943915740695,1.1217520730421926,0.9498707784431398,1.0173082033158778,1.069003228359732,0.9377131801075901,1.025202353153744,1.1915926528722558,1.0388697464286352,1.1208644358218127,1.1901260133863159,1.3270182294279131,1.2100251729421274,1.2135404277676276,1.557479209657092,1.4620164723292823,1.2193353589395326,1.1086472464925436,1.0656983788945642,1.3924311255691442,1.2255768686188737,0.8875608098856328,1.144424737062442,1.582763089554449,1.3111761070302295,0.8350598238700365,0.6980539093220955,0.669449777607795,0.9954706117078593,0.7144664032712538,0.7882567850454892,0.8788759888705703,0.6489035359873974,0.8404115481501567,0.6183948621069632,0.5429511269362569,0.7654991112415335,0.685515267120461,0.6410177234710253,0.7305823267343414,0.9669445206346637,1.517366111137496],[2.1948986128484647,1.9393227170533232,0.7263266703294239,0.5548075268897953,0.6388164092308685,0.56708593980564,0.4770077247309977,0.480087278248664,0.44359675061087667,0.36624011817122326,0.3746167230755486,0.4521851279125834,0.38434503130752895,0.3650648418496141,0.4286009307329573,0.3886863210442618,0.4587813109662777,0.48259140027585185,0.5852850748497569,0.5787872661235759,0.6627053978088487,0.8205075602590771,0.9138148237802982,0.9982399045748951,0.7984647060580741,0.7099193620524652,0.6004264594196586,0.5137972106057036,0.47661546639021535,0.41336898214175133,0.5040068845284693,0.4241807305731346,0.4762113780925557,0.48697254083425306,0.426785038813141,0.46233624980285465,0.4158269553781713,0.5561352581849054,0.49281412841357664,0.5962029449563079,0.709979567187156,0.650375029936216,0.6921278834197914,1.0457150809824038,1.7046940618262951,2.435113111196162,2.6977323836566245,1.5635345423719085,1.7518545010201703,2.352088982727618,1.8948232829371747,2.941232942043197,1.8573435058483019,1.6534728386107833,1.6479902433663653,1.0907587543974049,1.563038182947096,1.2361479900565853,1.1443538427183135,1.6528125866843058,1.0956494967876642,0.7852360613765579,0.6321492190631403,0.8179856985982545,0.754016725290493,0.6221580065414758,0.7826099837607939,0.6329551397847086,0.786376357619769,0.6795772309332464,0.8875477042568756,1.1851575893691633,0.877711809406614,1.0726771652604834,0.6441329132426266,1.0619657828809022,0.6304843897523106,0.5791840873947937,0.5644869274898615,0.6208949795116295,0.48124174871185454,0.7781123522752925,0.7564344210719912,0.5355441139246756,0.6445213906181808,0.46823465390913194,0.5187519332352554,0.5022329981109278,0.5098153177742922,0.5673382638819254,0.5404834896648442,0.749479226621119,0.6853755530482762,0.5044725859369167,0.4704621219272947,0.5860354362672184,0.5682310247492423,0.4768229193950828,0.43457558477575564,0.577421729792876,0.43831330758890785,0.6558429209279282,0.41143541415256735,0.5111554358954388,0.5980920051892548,0.5654094766693483,0.5930286390393356,0.621501305861755,0.5741541037569521,0.5937856909624982,0.5193691326592818,0.4559536733740226,0.4197691529170321,0.4162462302375795,0.3794230105552266,0.4281207704854434,0.4928565846813163,0.7690458019084329,0.7119014927053708,0.5459464160393626,0.5630545805296554,0.5041630779216191,0.5174818764570699,0.37879507400833223,0.363615764867415,0.41379272110455306,0.47240955485183517,0.4439929423382238,0.48466448847304217,0.5239927667581421,0.5496770969107329,0.5746431341719859,0.6125368335084156,0.5380050972842835,0.6156541760788039,0.7641209988206868,0.8152608630098307,0.6451911382112309,0.5932875191346714,0.7606252281789566,0.9142926814810706,1.014509771397719,0.641312766622542,0.5646698902052205,0.5499064706936039,0.46532443034188886,0.4413195703192913,0.41214295756814956,0.3890553423781522,0.44415707725456327,0.4988206833722029,0.5320154728069207,0.6982331516527593,1.163432686027007,0.9228058476304677,0.508897307636636,0.44169590512819845,0.48032753828692304,0.4055918982802173,0.4479163923655399,0.57152761179625,0.4234526489348345,0.5039679125650878,0.5103933180901781,0.727928356689201,0.8435536486552617,0.9956839597481774,1.553956657203002,1.4581499113704446,1.3157258277004182,0.9176695914393189,0.8341100167661448,0.6505730740721642,0.572772833881668,0.4566749444202424,0.436730028147844,0.44275280537115236,0.5116511199715736,0.48137435159724284,0.4957024760411734,0.9315891480222692,0.5122476066844378,0.5860599555580804,0.6409970737278377,0.6255657663093211,0.6935508980021919,0.7142393195981817,0.9374953869143279,1.6530313973764659,1.2108704795323946,1.4440066405645224,0.9650360288819549,1.2506596465274458,1.1184859064792612,0.9499812552489474,1.1247139083817435,0.7897588407962987,0.7228330232861039,0.7600136763576114,0.6638202346178138,0.7432060335930045,0.726272252473899,0.6718486825523847,0.7906806110207544,0.9402901919952041,1.0733214293620488,1.0871076862873017,1.1357589682520282,1.3345597486056298,1.477506515625411,1.4460625414621817,1.5744645556592434,1.7937672254781523,1.7540383926944194,1.8335179762184943,1.5903035440921147,1.737721300182045,1.2260662193148355,1.1885606573421026,1.3178258414761306,1.245959370405075,1.5850293664652473,1.47175773848943,1.6821577036179258,1.270712911190429,1.065439182468436,1.018473266912253,1.012800718768764,1.0481809042793602,0.9707552128877116,0.9648944120706504,1.1384241826691222,1.1408722206377802,0.9965822360524091,1.2980379452217887,1.4695315245787468,1.176884600571097,1.3000851301421834,0.8918297935415541,0.7003857680815022,0.7599271383956104,0.8698383886528441,0.884739284955597,1.0062943082710856,1.0424427280919295,0.9176326619909833,1.018338870978613,1.1286547939883982,1.1129507631256048,1.1444111048258396,1.3755014370460013,1.526450114425379,1.4694805318613213,1.4702061499655243,1.658055648029865,1.898217915700523,1.6693692856955105,1.6412903621279264,1.4725709091071328,1.3221497611931223,1.1581381788348748,1.0882042218209313,1.2277275174260192,1.1597984312289897,0.9818840336212799,1.053068230320797,1.1019934381505427,0.9634620792160846,1.0572543537619272,1.2283659396821431,1.0618778053481293,1.1480863817788918,1.2339145924961192,1.3782302165331783,1.2621594752769485,1.2801798651322305,1.576774186145231,1.4518857841585722,1.2472696292016567,1.139724777799365,1.1032467767052416,1.4601600676674509,1.2842104320134367,0.9291361546372761,1.1753034977405865,1.5909125827345585,1.3256235099714138,0.808488021948508,0.6596867835292236,0.6215114554065201,0.9852271504335081,0.7386518760230507,0.8413826033447126,0.8647508895454773,0.6476077576257394,0.8932775152705373,0.6768992931809305,0.5459021626228772,0.8102055596558381,0.7537272532036778,0.6744218703655664,0.7621574365715845,0.8917824198610999,1.2954498502745062],[2.0945714661235124,1.7993400195109186,0.6716028232711767,0.43504748043332186,0.6012857550424966,0.4841416721065356,0.3859710437904283,0.39704939826685604,0.3770859916886577,0.3336930179939711,0.34411936578637625,0.4144731000342778,0.3670790557731636,0.3774808863334693,0.4498520925682217,0.4120771164186605,0.4787354811630935,0.5233287325302534,0.5894775414796193,0.6025618475038378,0.6534745001275724,0.8015447313016535,0.8898552265740981,0.9311406725277153,0.7733045538658824,0.6828097929963518,0.6010133098251336,0.5343329487373158,0.5141317574129748,0.4239315461409628,0.5219489441132654,0.4149896173173758,0.46120976806406266,0.4939425234571696,0.4471968964057923,0.4900141305751786,0.44578657249671255,0.6036217810918604,0.5118303691034523,0.622640636254798,0.720284040687476,0.6453502425128085,0.6965860798606435,1.0433474025927105,1.6525084639003629,2.3732426436361793,2.6332840137396376,1.556620367376579,1.7513637312018064,2.342540965316181,1.9328788745129277,2.934265554440291,1.8638256136485052,1.6813436299318718,1.6582712752722848,1.1494127625078296,1.6114464232016046,1.26880192824584,1.157165910830947,1.7088047908990247,1.1283073578225293,0.8156196363631166,0.6358399829081081,0.7992743028215019,0.7620042060872622,0.636515210359446,0.7951526721654473,0.6553834894711557,0.7891186338372995,0.6765312146006593,0.9015425817856559,1.1773786704919762,0.8606814717294227,1.0443759565919284,0.6487340961818429,1.0096008610952878,0.6371196733762768,0.5803739853063202,0.5934611704253375,0.6541429713661023,0.4845819275864454,0.8084889646110097,0.7380439559618719,0.5698826108586752,0.6513050997103077,0.49258502191695325,0.5306628530018896,0.5272007781098832,0.5259606584262333,0.5745224307480852,0.556534792862395,0.7233768884447535,0.6811678334226029,0.5160630882965098,0.47600477173958494,0.5941923797516419,0.5935425075008762,0.4800323230997795,0.4192675084718927,0.5029953953471822,0.40682302182250746,0.5943040696079894,0.3800736908744277,0.4732508708199247,0.6026278567782287,0.5549885630019636,0.5697767312727234,0.5832909187766213,0.5216700414624853,0.5331160273359941,0.454534973895668,0.42757532752465366,0.3825861295663128,0.41143375291284184,0.39828510535760464,0.45709823444825853,0.5336949715860823,0.8252817932706948,0.7019779705855724,0.575056164616894,0.5853145649503224,0.5427381276425546,0.5503648249384215,0.4023018688613438,0.35796056108502283,0.4204069456808727,0.44300121875887055,0.4239241802899576,0.4577919752356071,0.5023482032697557,0.5315697920410081,0.5519368440382995,0.5964210333986901,0.5232992687296051,0.6062112424155872,0.7557310161177727,0.7778550086142932,0.6436338304299184,0.5957569801621044,0.7524220945951129,0.8824902510814517,0.987168464903151,0.6423530015006809,0.5742515132044995,0.5656480667008692,0.4856298796498441,0.46230157021428503,0.4124912298085031,0.38001302099303946,0.4135600636749321,0.43142947930929515,0.44123788699010985,0.6328685358604806,1.0419685951687467,0.837208815304904,0.42374474629413655,0.37164275657782425,0.42516108101814026,0.3823333907886027,0.4219796173640869,0.5663145319930027,0.4486426140171485,0.5252361844752473,0.541411134589593,0.7579076591572643,0.8447004282075299,0.9946558803637792,1.537181598508851,1.431585658579739,1.3045719669639095,0.9080527634356479,0.8359988663588727,0.6607064843367361,0.5862425336350598,0.48077437980959453,0.45527722682408567,0.4555951232114209,0.4984035150235579,0.5109986233036002,0.5177128884984541,0.9437501645315541,0.5181810569922183,0.5911337025956218,0.6439143580244707,0.6323606478333711,0.7139685177081422,0.7443810304027413,0.9728048989446788,1.6596529453522164,1.2283311999336883,1.4476721841356426,0.9653960364133316,1.240738309492928,1.1049885036445046,0.9422845901549975,1.1255124719653367,0.7794105024911525,0.7106377015954629,0.7301109606821834,0.6473109734031267,0.6657883880126242,0.6253363282073637,0.5866386683256865,0.6754338466883698,0.7813926475956772,0.9325528081068826,0.966809768937929,0.9597288070221768,1.1307784814640576,1.3152257338174445,1.2655953516628473,1.3546950201254988,1.5999243600593263,1.5971690088321897,1.6193958878333556,1.3996227957343865,1.4806141289029775,0.9984796245181616,0.96916784081014,1.0739322699528142,1.0013551770257556,1.4509082121136931,1.2592322383259111,1.512041111652901,1.1185997883206742,0.8951464663936026,0.8769137971875776,0.9161504993202354,0.9485503247236722,0.8753366073201718,0.8755676499052185,1.0814222318751692,1.0668771866767208,0.9439162709548305,1.331548767091135,1.4514636711737416,1.1565545555061973,1.3170562384859688,0.8503127320000711,0.6569237129507007,0.702321028866237,0.7429406577762971,0.7802574632469527,0.8617114536423158,0.9796997953479154,0.8123093084874865,0.8334903193445107,0.9748387370522374,0.9984543065684548,0.9555139143421005,1.1590370575906428,1.3158939326126076,1.262864410088472,1.236955081496841,1.4082359299405494,1.6713685439838188,1.4205672897542492,1.3681190497790983,1.2181967371513547,1.0692823668132798,0.9390382358394648,0.8868554919775332,0.9754512993881496,0.9376367242499212,0.8124104883689606,0.8692542670414343,0.905320374948739,0.821808277948424,0.9485433024221912,1.100608793273803,0.9460786749901394,1.0828414624806224,1.1702155395770104,1.315517073645398,1.1893259189750969,1.1538031395558013,1.6349393191067754,1.4803457176628292,1.0437228109858658,0.9917609603547831,0.9425384117508384,1.3316390323267622,1.236859225720239,0.8502563255807228,1.1036167843374465,1.5915951609403813,1.384865876668851,0.7818165208573561,0.6243185182250822,0.5960213853055728,0.909343043886306,0.6821833964134819,0.7861007998885873,0.7378457522130236,0.5835411951393151,0.8324884791200273,0.5887115758979237,0.4440352674515469,0.6476584716745541,0.6810832060557742,0.5721168289479983,0.6679588661599716,0.9077461109541748,1.1947362351239457],[2.196410506320074,1.9475552036804447,0.6648644203791466,0.5148968147100792,0.5812339609255672,0.5460111918241767,0.5294341428126824,0.5384360011979085,0.6376444718721507,0.6423344173859606,0.6790373398019153,0.6986833867871227,0.6614477569623465,0.7090597600472713,0.7791255023513427,0.7249772944488865,0.7076144878147328,0.7373166091930885,0.7305940294948744,0.8063634247564588,0.8123530193726598,0.9084208425988523,0.9765957897654806,1.0434610544406089,0.9389944861998935,0.8540100653774948,0.8120424716355407,0.7282602446934936,0.7105096130868084,0.6747715273543496,0.7772921265974226,0.6733841798850556,0.7611231026880386,0.7741745244765006,0.697843592668549,0.7135931096238971,0.6825662232280456,0.7704438881744248,0.7260853628589989,0.8295145370734043,0.9078123646823713,0.8248927847186173,0.8759030261233807,1.3146379285485308,1.9193812578421505,2.6601162906862967,2.8773865031643986,1.7768712737912753,1.988876371986773,2.532122915376967,2.0588551697844957,3.232486559917547,2.13101287506457,1.9201803310533205,1.6647387308240844,1.3243379573900111,1.790207315889074,1.3636005447720136,1.2366130111677676,1.7933808877166117,1.3072689787114855,1.0013499351954243,0.8595118234154965,0.9626524518926941,0.9106383257142479,0.8257146266474475,0.961586627201742,0.8274978057378815,0.932436933125053,0.8326905582618437,1.0252625198763436,1.2916323280322357,0.9967081076450849,1.1362920261276852,0.8437109200578907,1.164120257609388,0.8405394542191879,0.8188931516783797,0.8029372961322786,0.8205896906781857,0.6933524700393531,0.9617266471222671,0.9050264424115784,0.745826023461478,0.8477665851527979,0.7068123387560602,0.7030608337693539,0.7473748988779453,0.7515671342695197,0.804808595433872,0.8088995500089747,0.9439766602380559,0.9289685187821376,0.8363116425906365,0.7775942205235907,0.893966657178048,0.8591166028891033,0.7590312297751481,0.6926730269024229,0.7293575801341508,0.6462937889279631,0.6914172096248632,0.638033094073689,0.5636770001303015,0.7687241080291088,0.6150496628413501,0.6677532337887432,0.6629751291258708,0.5884696568625093,0.6577603572393896,0.5831297585423966,0.5669097294158215,0.5528563076518542,0.5932712342998191,0.644871948823034,0.675069331685762,0.7192438648664502,0.944560236314239,0.8285984362448221,0.7704574535504979,0.7903908910027577,0.7664715522806984,0.7666231685593131,0.6483909810374663,0.5776213929311641,0.6143390148116276,0.5697947932849411,0.6072213875150521,0.5676514981563616,0.6585337309750576,0.6656822392937993,0.6704613210406853,0.8069814578015151,0.723385190857628,0.8273330646979944,0.9931069202518984,0.906140770333153,0.8076692301189697,0.7534359929283739,1.0197720715840257,1.0613422753313142,1.0973941480467175,0.7766091456336116,0.7379828071163722,0.7133559652275238,0.7120081724696847,0.6917438194708598,0.6515299599010015,0.5957755055085758,0.5761568448761916,0.5492083772746305,0.5878274383173592,0.6743738434586452,1.2138653876337218,1.0505407853020117,0.5941856739349274,0.6095028009320421,0.5717592802466958,0.6383818281483425,0.5736675872052994,0.7525628579567707,0.6918054442437209,0.7659519682326308,0.7665438236017305,0.9451387845512629,0.9607355550518278,1.1470462990426635,1.6164404010786593,1.519358284695165,1.4191077176015612,1.0774451613873794,1.0461958342917936,0.8975485256110642,0.837312074332606,0.755316898866043,0.6899012625951462,0.6945937436475871,0.711491886047929,0.7573686097696856,0.7300554013377523,1.1701064895305395,0.7088440188473024,0.7811087707422377,0.8052435622359071,0.8265348335319705,0.90009757789231,0.9723837988629903,1.1085128852342772,1.804616672097677,1.3411406199157023,1.5487673420875696,1.1776440104607997,1.3793103021629747,1.2143944328186322,1.023154074699488,1.1479794055733585,0.8814398740199143,0.7795522018067916,0.76437311795519,0.6719509206850218,0.6802243912649112,0.6884309463445738,0.6458868173848763,0.7155152807754602,0.8417884413339286,1.0215400612718002,1.0509446687226156,1.012014921610215,1.2232357682782773,1.3973003391595755,1.3077270495703937,1.4148099673042005,1.6916890132631224,1.6512372426189739,1.6506678184324892,1.4184231169698605,1.5202666730066492,0.986889368680079,0.9772023924931557,1.0932706411638766,0.9936331298718515,1.3808615795068426,1.2427891914029126,1.5713866640683907,1.1717865366712714,0.942433451032994,0.9175725256983613,0.9372699165027506,0.9596893655169562,0.8891992977231498,0.8856584554817277,1.0370192600225148,1.0324258760152614,0.9383011543596662,1.3670325594419719,1.422731774328116,1.1818023927009809,1.2922409011096831,0.8533149785220335,0.7424279606545108,0.732179738730825,0.787474826894585,0.8644690579734531,0.97527098142288,1.1175081881765063,0.9084238978889899,0.9432720931391022,1.123324879234779,1.1215481291006137,1.070260031234333,1.3116506301094844,1.4914030771316995,1.4030437641682576,1.3626102614458058,1.5628006793663198,1.8235074155971414,1.5295556835326447,1.467666259259537,1.3003033155124806,1.1570559352800682,1.0309482918303492,0.951207368567281,1.0247523022239895,0.9901817905341775,0.8459171508060568,0.8963008576329149,0.9364211281840084,0.850702022708013,0.9543015355866502,1.111514157179738,0.9642854573666053,1.066038240610335,1.134679300507638,1.272112904134709,1.165659657374795,1.1532862896027696,1.6631576580808152,1.5601374630524216,1.0228063442580566,0.953431806576421,0.9276450510227775,1.3003319593107132,1.1563717001221268,0.7921296101761043,1.1036574681789,1.5783352866066704,1.3080354351409806,0.7928867554058512,0.6651837708373416,0.6214739650698752,1.0361558112364402,0.5765085828174913,0.6321548903174293,0.9540330075007201,0.52357564343079,0.6625717342454566,0.5270054553654504,0.5023360258779985,0.5700848762705579,0.664036451902655,0.6477283001736368,0.7227776200456728,1.0104628779040392,1.3707813204358605],[1.921250897283941,1.7040487092523622,0.5551103741823665,0.3561445299938349,0.5517106235020416,0.3622409004392004,0.2994759641416015,0.3173208081377,0.3392493437069884,0.29493216271107614,0.3008543033885654,0.38795506463190055,0.33026994686992706,0.3236680641183814,0.4120073070038288,0.3618387683266606,0.42626778164520474,0.4556394552635234,0.5205205579515273,0.5386781300658094,0.5925748496584871,0.7770343260612415,0.8222539867241792,0.8803978119956859,0.7304249023072756,0.6448615891518086,0.5516971914050199,0.47796911847343454,0.4516686758269068,0.38295325946818154,0.47229063507366437,0.38465628850942996,0.43716082390813876,0.45627258953518507,0.39716276875186374,0.43466793843094903,0.39572595821389533,0.5379637610133495,0.45662591218685,0.5689276860848888,0.6894207191138247,0.6049633453823609,0.6401771914773209,0.9550291346069095,1.5405020160686702,2.274786342499061,2.444342310895877,1.4020456633589384,1.6614791574076866,2.166824473934288,1.727699928535599,2.8572450998823267,1.7828186591155555,1.6190135737085292,1.6498521736135068,1.0354548281216407,1.528052557760338,1.2227727766323808,1.1527355926714602,1.5815549892737635,1.031891968494508,0.7351245083057266,0.570894987926576,0.7114007916098314,0.6725481625703734,0.5728880243831397,0.7261388597811391,0.5807415432845402,0.6981324074570162,0.6175675286254345,0.8472613730883697,1.1101746988445085,0.8000282845271265,0.9617333900082041,0.5870174215018076,0.9682696074453282,0.5641669636446343,0.5123793723316513,0.5245818929219568,0.5889395908792698,0.4550655104529614,0.7527748030604503,0.7071002619521638,0.5359953791292196,0.6715018702377391,0.4393947678086072,0.48552877534700795,0.490753757032026,0.4652241354754712,0.5293045542962055,0.5018854079065199,0.6905242130126702,0.6488240581000707,0.48439359373943325,0.4490518263070392,0.5730711137005159,0.5899987499507016,0.4534065996775258,0.3786742864711104,0.4579845763650194,0.36745753946742743,0.5236241384695882,0.3617440301650653,0.40082400551162545,0.5577586666288868,0.482184408921471,0.4892146868370525,0.505290447216331,0.4202361617175688,0.45648062535788025,0.3760430954783375,0.3622782150793455,0.3209993089473853,0.3711481772203586,0.34971664834867905,0.41264349670198613,0.47552051170612153,0.7635038872754948,0.6175665736552801,0.5061764112112943,0.5194735940343155,0.4865168556280077,0.4783085401340106,0.3456276747300847,0.31518958787556534,0.3809994839282264,0.34972875277716153,0.36785885161420934,0.37353497549287096,0.43468104957387255,0.46714126352911195,0.47309554500684003,0.5617552598636083,0.4696768567358371,0.5719322800761489,0.7277694207040931,0.7022541394647409,0.5849439210539625,0.5598634305567759,0.7322676838316661,0.8548892651155682,0.8865018250297657,0.553328471438919,0.5095772399954164,0.5058280184049758,0.44012299918707787,0.41701799044875965,0.37056915695646725,0.3276906876947854,0.3743393078770455,0.3628353917011206,0.39724475382419816,0.5604415536877309,1.0379240345947798,0.8572455992408112,0.38978483497301386,0.32667852694252747,0.35879917344122475,0.34780805677766635,0.3539540298736977,0.5229638437370969,0.3973017584065707,0.471493964646315,0.4805604588571863,0.6656991154115243,0.7724897779173052,0.9039840463658965,1.4066101566408329,1.3325733611158226,1.24755394187484,0.8573925078499038,0.7933223609859064,0.6129458266353432,0.531890007198969,0.43224891647844577,0.38785214083633873,0.4204373806041869,0.4658045890970861,0.4613907679642589,0.44436497514262746,0.9074054082677143,0.4509397712559129,0.5291099191025275,0.5682600199944362,0.5721060533425056,0.6437057924042712,0.6807113878237767,0.8649841579705362,1.585560514005874,1.1235403948337466,1.3458638455926408,0.925212693545266,1.1883730638049488,1.0403662372459062,0.8200934719790608,0.9898166681213453,0.7156938737687095,0.6316425309363406,0.633278817910755,0.5768287265151423,0.5331660468153357,0.5156079663514505,0.47912409203337714,0.5425431076830234,0.6385334336203402,0.8195200651117718,0.8720501598782673,0.8172711366661072,0.9925836099947977,1.178932575554915,1.098063690713421,1.1828115228520244,1.4420940653022403,1.4309324775219512,1.4192223943310722,1.2042148832860786,1.2994010795851993,0.8077088235394795,0.7877051699675887,0.8934230979522871,0.7883278749956217,1.2393559113949237,1.0426873382528485,1.3965964959507977,0.9919222303278501,0.7358060220884333,0.7334924235388041,0.7958344205277619,0.7705808720352987,0.7208787372501555,0.7277733684930185,0.888495956910956,0.8864145506029267,0.7725700402589074,1.2612122705782385,1.250409789319727,1.0217697338276142,1.1776775430676645,0.7043625604528754,0.5685880191703897,0.5858777459676021,0.6283504011625841,0.7413717640360967,0.8084017810276533,0.9946214861918339,0.7597856839515662,0.7592101037682675,0.9565536160651082,0.9529162197020395,0.8632665933254717,1.0753631703023496,1.2457184965998822,1.1555391086251912,1.1090992203174572,1.285037055613232,1.55247807645772,1.2656847331591976,1.1962506270072135,1.051077861378617,0.9113972782726834,0.8136679813758965,0.7507293386369968,0.8000713912136674,0.7759665343966873,0.646265632470323,0.6969358180994225,0.7445987487669463,0.6725658339065451,0.7753490354861505,0.9450334440683995,0.8208050655372763,0.9259876963502,0.9796594657527674,1.1413618080916137,1.0516538530255668,1.039353502154,1.5756705851398394,1.5514957753651586,0.8869711908536754,0.8143748952027988,0.7503478041617305,1.0699949570497072,1.0305491357390002,0.6777434117044613,1.019136273472364,1.5718815271087303,1.2961448705416778,0.7081820523995946,0.5352784776788893,0.5133075735062028,0.8703595365973539,0.5604980799026428,0.6514942892965602,0.7536420010416924,0.5114239548192794,0.7289926503284183,0.47345239017742186,0.32670236329317803,0.5110301870911316,0.5799670623523782,0.48379032063388805,0.6124374475381534,1.0403157067894162,1.3296646163744543],[2.0286433033550964,1.894327586406599,0.5320924366128011,0.4359570834782892,0.440679050179501,0.3316456848684754,0.2557083669299224,0.28322927771558226,0.33770132109000645,0.26850414800695405,0.2976880979068906,0.3826900681533298,0.28427289208009515,0.2720922292117547,0.3366908022742636,0.28696180596391047,0.3577173080990311,0.357683865490688,0.43505893288080616,0.4294055252702273,0.47896609577193083,0.6682448005760929,0.7162208464264899,0.7819947512989007,0.6180547214444557,0.549172713141238,0.44304073250979964,0.3552854976607376,0.338688663308591,0.30783641716704824,0.39611349794750095,0.36062559894697144,0.41730455652425924,0.39181686538590793,0.33168523284390056,0.3451789957441262,0.3237859645863856,0.39062946488672734,0.3427199697911068,0.43689516021907415,0.6344713497451243,0.48129431194782835,0.5050423407555776,0.7594952070166991,1.3630598504157483,2.096195262394607,2.1725928607962346,1.1337459375816088,1.4545863750184773,1.8624392257863458,1.3891595597761976,2.604103274694636,1.575143794167543,1.4150063830552535,1.5973791409808384,0.8625355935280263,1.4843928664335728,1.087972875936412,1.137201793270096,1.3936657700244492,0.8840956474093369,0.6050842498859812,0.4728860572217388,0.6423531263845544,0.5264696251922364,0.4644754321688286,0.640713301681155,0.49142852141972976,0.6548526264868388,0.5476191149998332,0.7796657105475212,1.0316802594688754,0.7275881146342904,0.880414052087737,0.5055093006907749,0.9672444512572657,0.4683475725382888,0.43778320946629523,0.42248805603956285,0.48650316947594935,0.363385723381604,0.6296090038636771,0.7308518358190864,0.4158475684875409,0.6251774314807084,0.350045704233918,0.3802338476210364,0.42081439684143096,0.37215438485021285,0.47611242623618455,0.4183001787187275,0.6404242360610612,0.5560769090246596,0.4165466832504542,0.39701853495728723,0.5192278417697392,0.5393472704549641,0.4212840446337799,0.36505398819805895,0.49393852509941644,0.3521649994275718,0.5206921444355788,0.33308232049156056,0.3446126499028224,0.48761215498175986,0.40085481104258414,0.4539551378013023,0.4594002193054286,0.38879565053263476,0.49519053300886723,0.3431151360043942,0.29171680053349475,0.26260129129404897,0.29488763719665884,0.27228441532208736,0.31970105788113923,0.34967498163103083,0.7804627893478217,0.5157492246943081,0.4194941979460344,0.41645524925128985,0.37573720081151424,0.41127999752236505,0.2840781902250598,0.2503406059024083,0.30374013886729734,0.30593715378216063,0.31322967071239616,0.3003725448766728,0.4015906234730555,0.39738516315070893,0.37253660645724723,0.5337042650476838,0.45370345862751116,0.575212211853126,0.7569828295291752,0.7263824673616264,0.6141049270094306,0.5868174954169694,0.6903509130094019,0.8559324296657308,0.8152379543933963,0.4655466654601042,0.3867733095624363,0.36401674781497206,0.34222859390967864,0.3153480896744377,0.3064414142916911,0.2535860010183107,0.32873738119023305,0.3432205266608702,0.3971083342329441,0.5530425894213599,1.1070324127133075,0.8845730074731177,0.4056239737853849,0.3340553723420282,0.332941078444663,0.29616023887538945,0.29935726129579704,0.43934623573113835,0.3165792143876378,0.37681735405636596,0.37101656914749126,0.582764231145059,0.7338217543991298,0.8546986042426915,1.3352672767694673,1.330134130239159,1.2719729080346263,0.8694718357611984,0.8052479665706527,0.5897880977873154,0.496275491272818,0.35604713009855765,0.31232110982136696,0.3510748773050415,0.45800982761482106,0.37192614274871866,0.3709484427654908,0.8575492978339002,0.3850467792664819,0.4583817884315701,0.4907045761300509,0.506464756969097,0.567875500998644,0.5830462781919525,0.7647449876608199,1.5220081172805706,1.0232862029700156,1.2501636198786588,0.85022955793243,1.1189359671549817,0.9918997172661671,0.7253686434438918,0.844280027671377,0.6891794993684965,0.5128569677971915,0.5107415609806931,0.42274438785688484,0.48776177121820274,0.5543020808507726,0.4668066370171882,0.5953150412750315,0.7798672616902729,0.9519293724552046,1.0248818089824696,0.978384709878137,1.1949358449559884,1.3162457181060505,1.232361518489759,1.3591928089152785,1.6041073395329186,1.5486448196547882,1.5483700431368068,1.3124689932360583,1.507587599763431,0.9410995924784115,0.9479720592477796,1.0800422919463437,0.9617911430621822,1.2866467091512124,1.218280788871408,1.6366364576887054,1.1358007699803077,0.8954150012375268,0.8434383156482939,0.8092433566844531,0.772600693373414,0.7158515589751525,0.7283316988762164,0.7795838858954822,0.8484075527506478,0.6738847750786093,1.0774149963877306,1.067822278532746,0.9263239070021491,0.993648759814562,0.5867879500532704,0.4813008127595226,0.49971180957197125,0.675234027527834,0.797706153221376,0.9355604283606177,1.0641228624019525,0.8305554667508819,0.9224064135711368,1.1300268645830083,1.0661052777838549,1.0593244693937485,1.3111141293060828,1.4717762886217343,1.3724533862377686,1.3541880994147832,1.541978282039611,1.7643505776317034,1.4939394570097786,1.449387120311611,1.2951293447597314,1.1642904620177037,1.028381634822366,0.9453485639525052,1.027330254712029,0.9691120955959616,0.7874413714205156,0.8371153136941097,0.8947762044938969,0.7519846999934928,0.7981858152044903,1.0104220326877473,0.891489248164912,0.8744029881333625,0.9307264715272141,1.095482479850156,1.039692853260409,1.1191141469062411,1.4158495109114664,1.5102224404916407,0.9621804738427011,0.8704003173979317,0.846442965993742,1.073637873692662,0.9300162909212073,0.7376161891356948,1.1073032716966458,1.6050652365664666,1.066828082184266,0.5726579996238519,0.42672755091033143,0.41215374783015024,0.8552778027523225,0.4341947268091929,0.5425810259596118,0.9549086997214821,0.4140869407814579,0.6313064684698707,0.43264417870280436,0.2927324506673228,0.5327709152768237,0.5752783062962545,0.5033655926406388,0.5985008571169389,0.9387401076629407,1.3745510036726794],[1.7478941509941082,1.6391345993240936,0.46882935134406845,0.46357659059731415,0.4151211418615993,0.30641179771537735,0.23631271515117463,0.25693272544283,0.30865345731103355,0.23848203769005302,0.26482236071194104,0.36906277315263436,0.2568647734864259,0.24665053822868424,0.3072579190379419,0.2629369636972854,0.3287266943653059,0.3178559892761414,0.38958013141151265,0.37040929766400676,0.41708386251109336,0.60827229701536,0.6644422047453961,0.7167425396984292,0.5425446597871243,0.4984625148364591,0.39047634904662853,0.29651141932178465,0.30440928682599133,0.29105491310913817,0.35277995278448454,0.3328632419103477,0.3927574658424284,0.35706569182238873,0.30218709872407784,0.3114939075819896,0.2959702940318822,0.33701028407825223,0.2977668884150599,0.3762467023205206,0.6182012102510209,0.4343861116851381,0.44799319671570864,0.659427900663592,1.240357327081919,1.9532543432885778,1.9588950196659924,0.9678046150685206,1.3306399517791694,1.6384847715873139,1.1657110223495926,2.467035924789915,1.4655393008833841,1.3080422982044797,1.5555142608930344,0.7714686030802594,1.4650873150653316,1.0340666045293814,1.136513666254208,1.3014472294514006,0.8071028780885319,0.5623212416997507,0.43779689805563204,0.5984534797004681,0.46351577850168196,0.4470642285874683,0.5944657986005114,0.42802200457537176,0.5929619750096744,0.4957434565220528,0.7432579236324246,0.9612596535817943,0.6735348933873805,0.8108107086701538,0.45941828078535546,0.9245918641472938,0.41838593371169475,0.38799568950206603,0.38564661867609895,0.45362885664804686,0.34107000211369376,0.5623262594544494,0.7646774017434038,0.378385496996073,0.604416947261681,0.32636873413474216,0.3370260770762847,0.4057620836252167,0.32974249012712303,0.45134271795927644,0.37807146033975475,0.5961413160653399,0.49481175539052136,0.37541808762817724,0.36048591901555316,0.4816859452830326,0.5179510730216431,0.40649723877524996,0.3597257926552634,0.4897893120969783,0.3439593710472578,0.5257183770328416,0.31613347147825577,0.33202354845645626,0.4903320954090478,0.38665851903893106,0.4240607491201303,0.4254668538998816,0.36561396705866617,0.534682074227557,0.33767149974409677,0.27094096793844913,0.22404686415585331,0.25985767994191433,0.24063004573330632,0.2607049140274002,0.29254253070747044,0.7878079616151821,0.45205324235413225,0.3832205334915453,0.3710796396924875,0.3206495414165578,0.35725629036735207,0.2245090710301379,0.2116351685180076,0.25768530721031296,0.2937208596471938,0.29804750131736585,0.2647577774837667,0.39997652677840034,0.3575735945844703,0.3330059072287128,0.49162107979264774,0.4604757712113998,0.5506188646859557,0.7224099284762314,0.6388107107335536,0.5804422554346341,0.6253535778314137,0.6570172377820462,0.831817953026407,0.7383316079491331,0.4304430704221608,0.33903838691620414,0.3126674108045222,0.30180046963574564,0.266107359154055,0.2715687494758304,0.2379232583454993,0.31037631714227804,0.3371830364237943,0.3980969361087844,0.551434638569783,1.1172608456827156,0.9005732281233573,0.3946285942552116,0.31854884967612135,0.32150600659780343,0.2755255802034652,0.2874556998498878,0.434064000963616,0.2758655136562259,0.35046334554453124,0.3317985721065309,0.5174197244503823,0.7000193826825121,0.7638723992094755,1.1986364057331576,1.2099611039579063,1.192846325492084,0.8061287388416887,0.7670255271724721,0.5523738648157202,0.4711660628791253,0.33067659647429787,0.3081480031504601,0.3275250371181731,0.46556787862740007,0.34094595632991015,0.35104045807313916,0.850674050021279,0.3660369343040133,0.4333719745813833,0.43534555019983456,0.4578651751782558,0.5351619012726503,0.5388994241696861,0.735519124462746,1.4932111893743556,0.954525789270948,1.1631153697990952,0.7964415334442275,1.0485265639241363,0.9304672868929814,0.6544783866043475,0.7752253886758181,0.6711837043474521,0.45356827474538136,0.44174593354438824,0.39371056459768566,0.4333241627337826,0.565220174363348,0.4808412900031766,0.5474938226466838,0.7452322838322641,0.9390581699958639,0.9869540863805633,0.9142470805187429,1.1441563199372002,1.243715701035276,1.1372636544073011,1.2594836497053423,1.5008964166759904,1.4532525555755778,1.4149976579123367,1.1770695610926378,1.3847081774489516,0.8116455758115343,0.8372204421311576,0.9773643418574415,0.8461017961546319,1.3075076921508695,1.1221233022387884,1.5429885414122828,1.062974928702277,0.8583308875265598,0.8265634312906622,0.7867824021372923,0.6872841512653978,0.6231646109642343,0.6785950109472605,0.6363729088419882,0.7246365419364045,0.5438309126827979,1.0397873151635941,0.8753755525955733,0.7840038455148034,0.8687431218760693,0.4809399303823497,0.47461383964496456,0.5005548258899779,0.6682568102786675,0.8393399111873414,0.9613687910968556,1.114383208076383,0.8467889956080058,0.9418096009394693,1.181868682998891,1.1005538963986043,1.077418716307794,1.3192586129290154,1.4759743075560545,1.3490062250952268,1.3228155127080212,1.4988946244950885,1.6953739870700537,1.4158797604804068,1.3705794474983084,1.220294214583415,1.1159396440823477,1.0056457627060342,0.919415298707036,0.9587897232946911,0.9006717688996699,0.7124700186039465,0.7351642675017094,0.7924692982684638,0.6452637243808096,0.6605453584831497,0.8637768912992037,0.7651897932766829,0.7156512132728288,0.7737403738341949,0.935435085660179,0.9053670440073986,0.9832461255410994,1.3359153868114981,1.5188862314256462,0.8378123672907627,0.7584256640430406,0.7273859535324251,0.8828742060195434,0.8471791797326207,0.6746381994444328,0.9995943484474485,1.5145526893408796,0.9810605661176529,0.5704502657391246,0.39352295891712324,0.38963697172358874,0.8957676000383369,0.38028938080079505,0.4340269531910131,0.9370493403619441,0.3755399478768683,0.5296031791914527,0.3862783153796746,0.2776500932854846,0.4760415424969992,0.5303653530794811,0.47968147535347244,0.5721782990399904,1.1237805600098054,1.5313566898722146],[1.8089277974922657,1.7242432250519883,0.5145098968801229,0.5684278935761621,0.3772503954160322,0.31607663210233117,0.2310242319527008,0.2661113324595881,0.3392885472590326,0.3172770274772338,0.355180264573036,0.39860321229343915,0.34575011496746305,0.32982896855298954,0.39567967792895453,0.35504343696206414,0.4011917772940148,0.394205627222824,0.4550894125053426,0.41021657350462526,0.4560403462981341,0.6366651795454141,0.6640530469166707,0.704295557031236,0.5488986220425243,0.5292863550277261,0.4309968573211444,0.3717595286403949,0.365843469838489,0.37037764762951053,0.4278653822616361,0.4295075827201787,0.4761948065196863,0.43399709121858154,0.38796429373832253,0.39121233750066386,0.388310575631889,0.3867728741346864,0.3479817363908538,0.43478457787865316,0.7026814884463772,0.4613929021605477,0.4704971984697139,0.5683027227525692,1.0913671188594722,1.7788302802624807,1.7299638155010013,0.8225358524079336,1.2090831692673347,1.4453885809314417,1.029753762758241,2.2201158590039674,1.3119185272366605,1.223530530552596,1.6610985987210392,0.7732565188206016,1.4089712267086691,1.0874661437965547,1.3180265884430775,1.182272344414433,0.7761968698398904,0.579311371778771,0.4910043960047752,0.6234131580902069,0.48947662185070623,0.4986090292266208,0.6260919207592233,0.4622933182426455,0.6162082398593027,0.5475043479158563,0.8103004499322886,1.0388470944924435,0.7347176997756623,0.8193110910877333,0.5204643891674476,0.9087256704186106,0.4595934434041588,0.43750012421509293,0.427951643396537,0.50908858504182,0.4162960041541461,0.5875392517789297,0.8063952969644302,0.4279033414975474,0.5976771453333363,0.38856768584448037,0.40558363372213335,0.4784724766380174,0.41161979499935614,0.5246139365183932,0.44720356620955465,0.6597212190034181,0.5466763505306939,0.4350969271062594,0.43385151594795585,0.5250782153157836,0.5519483329736857,0.4291836379851425,0.38739926797684154,0.5097571031155067,0.39207930402444213,0.5898350652114565,0.374231478537391,0.39414160907781476,0.49800883513656297,0.4253786574814226,0.4977295730852463,0.47742866842629517,0.4434228948058359,0.5793926121892201,0.3957873258045208,0.2911682355267942,0.2690684658716603,0.3307738023958049,0.3339003115375941,0.30683263662485044,0.3504617476795673,0.8225373602166173,0.45170553062924046,0.4426369158398001,0.41408358305688003,0.3758561376800576,0.3709244587938618,0.2911330137667215,0.29515580911443035,0.2966803039665312,0.3518881248654492,0.34046132531724477,0.3387795411370046,0.43357022656237054,0.4519334569776049,0.38583134856158907,0.5462989998293506,0.49524451691037247,0.6142495837652711,0.7895566286457426,0.7693432331354801,0.7259387962063798,0.7135545939825317,0.6093984180850449,0.790519800712323,0.7019635191931409,0.45025979532545113,0.3695282900339232,0.3561667398483545,0.3747401072754292,0.3267817984653132,0.36623012614761147,0.3126651105162034,0.3617718173219805,0.36782466432505423,0.4127682900945039,0.5748806224690894,1.1044251791757669,0.8435149369969166,0.4205701969069065,0.36756483342682505,0.37262057402332793,0.3247217541810068,0.36126597171808883,0.44154453860259807,0.34247721632810735,0.3781423102638591,0.3682929357721481,0.568102005681664,0.7242418629232952,0.809700145912984,1.2184776085807292,1.2887235447623135,1.2689459563157197,0.8864114349851827,0.832871207828048,0.6045794825505572,0.5210587693372702,0.3745077999898307,0.3607429880823396,0.37036841180669533,0.5221926767325805,0.37963879898665936,0.39857287548951437,0.8283194147862402,0.4174817021817887,0.47309359392290595,0.46757776403839746,0.48279698343208166,0.5262625666197035,0.5393849252675172,0.7102449399025276,1.4382344019792277,0.9016821766115908,1.1141407257992797,0.7792624017800904,1.0479220542844876,0.9581221173477449,0.6917955428370124,0.7780156481979367,0.8068701889813289,0.5211380355761849,0.5132049933502425,0.427169337172645,0.5774189816841406,0.7088744297204285,0.5779990515118482,0.6883757305344159,0.9239887391057664,1.0742526820905123,1.1072957823402234,1.0494513061903052,1.3131014875910516,1.3503149040411726,1.2330848208662357,1.3846798946351293,1.6168009133061272,1.5295030292191674,1.473003929343453,1.2407149575823369,1.5078243943310214,0.9235555001227153,0.9693176354697545,1.1280998239357536,1.0220256548648081,1.4452132479731,1.3300648779849433,1.7460260959250828,1.2339263371344071,1.0637438486889836,0.9999479203161777,0.9453928076661954,0.8592864387620209,0.7753083006025986,0.856011840868926,0.7455748304298802,0.849020767846295,0.6750704294507602,0.9912857515516847,0.8738725241213986,0.8299980981221123,0.8397483667015051,0.5623257495490775,0.6064630237917417,0.6495232633430882,0.8305869895467622,0.975956519717373,1.1104621935317602,1.2097377758798364,0.988547851019611,1.1269864877356388,1.323646601418229,1.2188402999462127,1.2529005663984885,1.4989731197891598,1.642921982879838,1.517136082021893,1.509226379475213,1.6818842778952665,1.8509140161621587,1.5800732979081644,1.5553640333685146,1.4080343554639692,1.322476779254162,1.2070054174679867,1.132157674568851,1.1623769797002745,1.0795007495336837,0.913587095277926,0.9134882474589752,0.9384454854382489,0.7888564073564585,0.79654197117246,0.954503809153311,0.8512374705848695,0.794327713859886,0.8252578043297577,0.939736529619169,0.9485337553958387,1.0327438331396515,1.1837890230752142,1.4481829291418726,0.8907807791366346,0.8022761687545078,0.8086310821146023,0.8773238023658922,0.8233624377521737,0.7990523015108847,1.1027309809260255,1.595084493976766,0.8729309682093377,0.5321131346746723,0.47461913473123724,0.3856582195476431,0.8899803915721797,0.3607551843987324,0.4240627519210834,1.0628257993046697,0.3311580527909161,0.49178134664967393,0.4043474918805141,0.2785472379794537,0.46343309724915166,0.547713233118608,0.4808658923987315,0.5957576521862922,0.9660857905369397,1.3678586023711072],[1.617756651123429,1.427318044106741,0.5393221247594179,0.6622761692489563,0.47484188711427555,0.29302929559974494,0.2236774132991475,0.2757474379175811,0.3738631848349885,0.3672568202664384,0.45094359652140276,0.5012007330450523,0.4032235049011934,0.4042917213052725,0.5180326875544604,0.4526069566569848,0.47086454119477666,0.5058425235030765,0.5363933615793627,0.506787972450184,0.5395189369303355,0.7017226824032408,0.7030483676331466,0.7107395463996741,0.5537324974401189,0.5691285682422125,0.4689202993677176,0.4417627062709677,0.4573035389322521,0.4700807331721077,0.5561104538284556,0.5483339561767069,0.5836000620771145,0.5540950565503565,0.5184378328250626,0.5118846222025716,0.47764100700436646,0.45928440232580414,0.3835229559914859,0.39446089020798786,0.6705763826698095,0.4842518602138323,0.5008651915574625,0.48661388682139795,0.8997826985685766,1.5543914699934165,1.4063384114460504,0.6260981808934039,1.060132773268747,1.1179258362338087,0.7075370969398779,1.8990692013369161,1.0976753646343385,1.0182643592255933,1.7154664431248725,0.7992003568978002,1.345644983815196,1.0736845133560096,1.4883755461758983,1.1130386059084432,0.7488944565261996,0.6096208891935575,0.5592987618386385,0.6929508389417479,0.5518018517455692,0.5577667763579135,0.7457384059415978,0.59410823579573,0.6923497243005773,0.6522184999543904,0.9010450747711136,1.1046093072354184,0.8251586275790402,0.8799890667838979,0.6390688124004824,0.9691689902285932,0.5618751060882089,0.5592325029514871,0.5387652322494529,0.606168095029805,0.5420173639064304,0.5909709076035139,0.9016406689916481,0.4275234007699667,0.6010047722797836,0.4466212268526265,0.4898168611552575,0.5406933416524752,0.5298898643278807,0.6569264265345526,0.5793753063128031,0.7406301098255744,0.6501830319059912,0.5574209857882994,0.5592625404797821,0.6423807635274459,0.6495602174765375,0.5526312018898633,0.5262837990692336,0.6094414227733106,0.50657667107365,0.6539366162813375,0.47072018104851193,0.46640457406491365,0.48219757710405636,0.4259737414454622,0.5446031390718501,0.39197036185629414,0.3987480792754573,0.6256650020374583,0.3439018734583256,0.2745979471553269,0.25215375577927557,0.32393064329958293,0.3636146325144358,0.34578958643156316,0.39249474129948003,0.7780982606620446,0.45779377052591486,0.5052847375399883,0.4605887355239519,0.4195126950468763,0.3866507035113384,0.3110567910181375,0.2871160711043092,0.2601294968373654,0.3298202462688313,0.3050655274974432,0.2823229111445342,0.37784184446293395,0.3632182544473628,0.3423816378121245,0.4300750174076647,0.45625370229866485,0.5125157928784294,0.6431243092414204,0.6221859316948066,0.6193357951725222,0.6904818082595663,0.49990635231176844,0.7476265084743335,0.6322337466105628,0.4314003883955886,0.36336925149287,0.35874466580354336,0.37644433395768057,0.3184819213938921,0.39377879914114705,0.31786272072479643,0.3978330834398784,0.38489893541689735,0.4810459832007002,0.6162869565916893,1.2380573762156084,0.9467661715642304,0.5172244360531393,0.478449820460862,0.4516825499755733,0.4064481462498706,0.40311957803136295,0.3901048161080412,0.3632034469287415,0.3278357820881664,0.3541463071422826,0.4492974793799163,0.6621526844416733,0.6291143230156988,0.9823450666643975,1.0774775353142167,1.095382316740991,0.7300342762218595,0.6927962984990232,0.4727975250613563,0.4038536576909906,0.31498332543502056,0.3910434481937973,0.43717509879330263,0.645577451173101,0.3858501924296516,0.45167024884035817,0.7080809413962758,0.3594177625660635,0.39238833918517296,0.36985782594519534,0.37413576066438675,0.42845092319673456,0.44002797185226994,0.609859065062464,1.316902636936706,0.7689429142011924,0.9826089353665867,0.6476941693985143,0.8890679444439186,0.7977321973783348,0.5435769951352646,0.6395713107608237,0.7785433763703515,0.4294070518578071,0.4281134392308506,0.3912757674220301,0.5239775022332979,0.6862453582246523,0.5214731107671576,0.6109928300324977,0.8683414522879185,0.9897033477478603,1.0011369578877305,0.9413227676658987,1.2308344757104583,1.179205309119637,1.0901387672538003,1.2519264340886274,1.4484752079206098,1.4031059269920994,1.3251968510415475,1.1064959409647472,1.4264159553832243,0.8950439547468093,0.9026668567895062,1.0602883912282246,0.9606613149919478,1.649051561905693,1.2963281099199322,1.7279590827014595,1.197409174873797,1.079218568746956,1.036761435402843,0.9773600967439525,0.8120707286552667,0.7128825696034731,0.8430871765045086,0.6937763498305183,0.8099764319340927,0.6089314729725288,0.9670523905711702,0.7302375128076924,0.7272821846020145,0.7602241967667506,0.47325517376873943,0.5752225137058959,0.6519703415645031,0.8467309489747281,1.0455751315456687,1.1701576175085926,1.2940730989749913,1.0259109032963767,1.1731409363515044,1.4248850577171115,1.2644453041592019,1.2621130032179482,1.5419128560302893,1.6739032794802935,1.4874303469953514,1.5021068818815402,1.6863324721173136,1.7972489470516804,1.5166434655965302,1.5247791131961306,1.3541450907347266,1.3044880294644383,1.197730238449901,1.1265597653301807,1.1334937126334264,1.0101418602005872,0.8650054371666683,0.8569874764263614,0.8733427326490119,0.7209015151364788,0.7267775510666015,0.8894214596831415,0.8132876249659579,0.715844631003991,0.7765637197662536,0.8972949651056797,0.9245610614378558,1.0341181825942825,1.1909155956912387,1.53498434846773,0.9373046423510113,0.8754301101871267,0.7741610567883124,0.7085751186933795,0.9426756678752345,0.9522256224002394,1.1714191292056226,1.6322050763132612,0.8701036002143507,0.6340633056993118,0.4142986556830923,0.39843913828098787,0.7271051912388656,0.36016035999675317,0.4097518575939088,1.2031176818889078,0.3793453894491326,0.47564630796749385,0.44226574261960067,0.2878049535882462,0.4152312724249881,0.5325892844823078,0.5700911694800291,0.5129355593715322,1.0916660441704895,1.768302179793368],[1.4238269029955852,1.1979375224283377,0.5477454436112859,0.5556495497957313,0.4605528219144619,0.2871414308547259,0.22512388617778245,0.31011976755272486,0.2885703275507816,0.29784799352588437,0.3355011604391352,0.43428988344258684,0.3291087025225115,0.3011001104585356,0.4227731105556807,0.37215031886053324,0.38092657645209355,0.3992930997388458,0.42922274541845884,0.4129250532885861,0.42708693914224277,0.5979104584675743,0.5967669271921638,0.6036237247588296,0.4821001118479912,0.47824073648102317,0.3943088150639474,0.3722790530519204,0.3666892674717574,0.3821771437280888,0.46101867134975855,0.46600923373177866,0.48945307250470194,0.45129222258720336,0.4263049023855834,0.40179714170614356,0.41423356622367813,0.36526256699419046,0.3568026871710348,0.4442317592936953,0.7320530741342725,0.40740329303339146,0.41876291798838183,0.44951635861108624,0.8068052828373887,1.455472669974129,1.2844450502543092,0.5671181646380278,1.0101776051950366,1.0607913040882917,0.7032495350080591,1.7508634549466806,1.0574482631161173,0.9687865754977264,1.6479420128332298,0.8149483192168089,1.4052578972584209,0.973222072983269,1.3930424476219463,1.1119122638638252,0.7553889734902756,0.6015865682418429,0.48957551470284455,0.6196362251230977,0.4884257505837372,0.4761460420247877,0.6717007250781992,0.5176750805654293,0.6228865064597726,0.5660800283407539,0.8431119906889828,1.0680914604444933,0.7848954086670719,0.7864201744241832,0.5217532338698664,0.8589766266576074,0.4500113098119145,0.4616447410315043,0.4545403040263303,0.49390907960164976,0.4401217912771023,0.5326733649024334,0.9079834004042731,0.5014856738229556,0.5189738313579794,0.392595267905605,0.39110210622646985,0.49396633869359996,0.4196651076315633,0.5619828291099528,0.46610675656472467,0.6338783895535011,0.5425775435122112,0.4625034594498259,0.44952449521046517,0.5229094351724478,0.5386562518248956,0.4305835351492276,0.42295667991978125,0.5442543460888684,0.4145977781124165,0.6451683754246813,0.43870577326779936,0.4966414752835857,0.5624406446854778,0.4858459661030181,0.6460098337663157,0.49325549649363215,0.5035303362109764,0.671235167465667,0.4167100600647515,0.3347995159306037,0.28768618543612606,0.33634258191885963,0.31886247805882445,0.3199027650346774,0.35513080887509724,0.8452736475519167,0.39323009970003775,0.4442178838093354,0.4029229943209686,0.35202738724681965,0.3477127997500026,0.30256526360523966,0.28668793412643045,0.29171064955078013,0.37142872984112946,0.3652581311026567,0.35913701340750037,0.4581856230409083,0.46025162464591174,0.4046193799376803,0.5046028721112846,0.5396466026951336,0.5889899813203477,0.7321734679712374,0.7203872909724011,0.7411071951725946,0.7547678681656265,0.486257051857622,0.6809699296911422,0.5788801343054959,0.39373538673536496,0.32645706671822755,0.32770228468536494,0.344778041117646,0.30245405452567686,0.35821946759296547,0.31819554337450895,0.3561680936785219,0.4173203598543427,0.44977604533393883,0.6525152120665272,1.1686064767293138,0.8235180013823413,0.47695881271053386,0.39699205689520295,0.42866129050023033,0.37253086525471424,0.420677528968546,0.4167559225996518,0.3493675409614551,0.3592054196115355,0.36051615705472584,0.5296713608287644,0.6906257485230061,0.7005485519930288,1.0281611742604124,1.154807964407878,1.1662041121574593,0.8056202324110501,0.7776639077416883,0.5640705014068733,0.5077036858394229,0.3806116085610967,0.42151908315130543,0.40405642130166486,0.6272142635877119,0.4219462610633006,0.4960060765929873,0.7818982584579847,0.4379218307579589,0.4577873518089427,0.4402704981777325,0.4431676799197982,0.4712634071095119,0.46951944485891267,0.6754054573230981,1.3497622383541403,0.7967401575198729,0.977445148214873,0.6639302411719573,0.8895368934836717,0.8415699804803933,0.6153959480377357,0.6629071585064649,0.8664328251218834,0.5165029206011353,0.5029951004543843,0.45532832349570534,0.6492848085385152,0.7993887596388013,0.599865057930615,0.6873693250311703,0.9657112674370593,1.0573655971982103,1.0280782222063791,0.9676369068018689,1.296203593238304,1.166781205829046,1.0463345979403063,1.2303387285084142,1.4259375550532591,1.3193389259420203,1.2098143039298737,1.007145224373775,1.380153771636147,0.8527506951343593,0.8954424478351432,1.0627607524599252,0.9969374915634311,1.6864779555287421,1.3554940570808665,1.8474932044210972,1.307531018194793,1.2139139841413467,1.1593168644805676,1.1086249096144116,0.9303284159750331,0.8306345592729171,0.9712544673174806,0.7991532903140988,0.8995293608375567,0.7145868727385691,0.9829111744471993,0.7481861530073038,0.7544111282200947,0.765305294355443,0.5519486453633605,0.7176521288006752,0.7897531104221562,0.9733887787912875,1.1489547461903409,1.2993517009295543,1.3884664224000707,1.1445540275464794,1.3105522019171296,1.5298099594558503,1.3659212464799795,1.3893844178036023,1.6639256772731232,1.789447684290868,1.5850896743742686,1.5992941780272596,1.774672744278754,1.8566055871759506,1.5566499470555892,1.5797886920558322,1.4154620546577468,1.4015031855457682,1.3176134094802423,1.2461864246008578,1.219058933176605,1.0805415448575204,0.9770581306569104,0.9399037005165249,0.9212738273024147,0.787265315890524,0.8062869275500607,0.9018570216031991,0.8209825941660526,0.7614301919348214,0.7941956601626862,0.8945176207597004,0.9224286289096435,1.0445501427661863,1.1187802288507402,1.5144911109285026,0.9382564654167004,0.8927529903048103,0.7524009927428208,0.649903275791215,1.0554544049071342,1.0561312200607003,1.2340318740561773,1.6463885613988343,0.8306229511329576,0.6539892598138431,0.48190759443381564,0.42143832374288276,0.7026272752124798,0.3783018777275927,0.42370833180652523,1.2485073050829008,0.3893529484738073,0.4751184187888168,0.4497993061355842,0.3118693848515826,0.39121497729862875,0.5099529242352353,0.5433901189904241,0.547828419882045,0.8604573847670998,1.3573835949395618],[1.476861594759275,1.1129469132950287,0.6400287811909596,0.5211896179315578,0.4929527070005464,0.3476907754299616,0.30853416993682997,0.3271258877780259,0.3047528252789964,0.3290530114365763,0.3784927045487361,0.4478509278009205,0.36936571046476807,0.3441685275364457,0.47944942175382343,0.4296047232806141,0.4380145056368731,0.4694816287371786,0.5180823720842292,0.45003314493067054,0.4969787130918687,0.6789800162210391,0.6687131235029282,0.706142364178031,0.5181698888229478,0.5578602295335298,0.468949167079112,0.44077109741915227,0.4068219595216215,0.4246759323883829,0.5015936550382456,0.5162906275261796,0.5407560550137542,0.5032546204045293,0.4664336119644068,0.4457176356170138,0.44559983488916927,0.41975465802417866,0.3891374069913694,0.40457285231452195,0.7069600615232086,0.47224299409725146,0.4796574541457245,0.5107704954779029,0.7555917746715928,1.363997570570333,1.1646684034879975,0.6220527433569621,1.0301157552659326,0.9604594180458362,0.6790218138910701,1.5687914464911488,0.9649899523706521,0.8800362499629186,1.7376247629277466,0.8920949278382955,1.3904746480000303,0.9797318403547783,1.4808160277476978,1.0666866883425528,0.6978316132120491,0.5929953127038669,0.5107693485547494,0.6472882720822568,0.5030243007057691,0.49398904369208313,0.7128791211777491,0.5516322338246233,0.6379160523859674,0.5769458215919796,0.8386578557541744,1.1652319443366592,0.8273453097858996,0.8256176053308445,0.5553486157460623,0.9095312468891064,0.4651846761192499,0.5146884417823366,0.500060741679478,0.5287668124997952,0.5264682122470501,0.5381701024363046,0.961827266266907,0.519902577869682,0.5391663519880036,0.44310117376748553,0.45824912058544404,0.5251885124358294,0.4634556341665702,0.6078791089522331,0.511191586464687,0.6755104015415946,0.5801580393359678,0.5094677173765569,0.48842518830875176,0.556887360110211,0.5555583573453159,0.4779599796547588,0.4948430790709955,0.6381347503068171,0.48170732763861157,0.6999759366809895,0.4848593409645054,0.544572148834665,0.5487817839969695,0.5040821418744945,0.6651589811947656,0.48266569480264365,0.5037820537626876,0.6377885051348924,0.3989234972406265,0.35593918589350354,0.3263056405050484,0.3868075298401275,0.3999023810217521,0.43235378760395354,0.4419787165713555,0.764647291415618,0.5163515608847477,0.5222974279229002,0.49389549344424444,0.4374691283891206,0.4615308097084307,0.4218187014401415,0.3784472238030161,0.363970078196922,0.393877939409319,0.3939884630132742,0.3442537623265724,0.4255435972439786,0.4190953912562764,0.3931110122833872,0.44482591142661876,0.5050065280256302,0.5247510449048042,0.6297214853803617,0.6714163721726651,0.636463394895929,0.6799812641112495,0.4596884090919184,0.7396419429020847,0.6050326253212738,0.460678334001297,0.41679002192258413,0.39406880753531376,0.3961416250265983,0.3568856016021985,0.38848889338966014,0.35916403600324337,0.4079504690857914,0.4293175723614337,0.4797746941125511,0.7196583373781559,1.3554174965501937,0.900076211034462,0.5428030073579996,0.459884144239521,0.4759145883647879,0.4206969635881595,0.47913849987628004,0.4159606827524654,0.3814618841939966,0.3631251986556847,0.3774933506085745,0.5285951710478016,0.6330619887308276,0.6080926541906592,0.9042507026844109,1.039999794972925,1.0561040812791527,0.7044593474651646,0.6689886618961072,0.4845557963324852,0.44884554104346747,0.3820889020717232,0.4497212753281797,0.4321614059006417,0.7342578579764764,0.44523093040711065,0.5476499366691393,0.678964261010988,0.4304152455926775,0.43496285059764056,0.41818168988622906,0.4167048072224832,0.4611030075585057,0.45378933331975974,0.6294551430544829,1.2538372042956725,0.7178798339649365,0.8875187661517177,0.6260322991557253,0.837078370071245,0.7631408234772016,0.5661012470657937,0.5761117936240618,0.8259015850730493,0.4890093432001833,0.4829301095644058,0.45209184449596285,0.6714133634349645,0.8390237388025785,0.5806560384400339,0.6730897701599922,1.0063580573895103,1.0526277517601108,0.9930852482445091,0.9740260966059303,1.365464085823773,1.1380523606824353,1.046302369660488,1.2869026522901474,1.4639032715582028,1.3521683690573223,1.2461991943632151,1.0175693804757853,1.4876177304523166,0.8956371705393579,0.946397827661387,1.1517950867619098,1.1187298533044672,1.796536732700719,1.4561652643057421,2.00767423698776,1.4200689012141672,1.3640893940413559,1.3110374523563861,1.2582759247386082,1.0389086657201192,0.90785909016865,1.035136060152842,0.8587505149505189,0.943280435596856,0.7275236050973086,0.9930878693520184,0.7162433976209078,0.7189244201766037,0.7514556620524206,0.5313565301885069,0.7236148098252405,0.8516246738639001,1.0716416813479461,1.2827078298015,1.471799148607279,1.5409393202544197,1.268071792764692,1.4739563374672715,1.7007077191816815,1.4770404652581517,1.5008912380199517,1.840154683619884,1.9602403945269964,1.6919580824156175,1.758853342911401,1.9777325447165108,1.9974902974488657,1.6994463435372804,1.7591596818485098,1.5607290805514171,1.5597457187735848,1.4468833594684771,1.3791866504359926,1.356310983276736,1.1552547360051189,1.0638045071431528,1.0300885604451278,0.9881724683479336,0.8193025724856202,0.8580730137085301,0.9626806860000404,0.8325127550200695,0.7497466963447562,0.7891796517639895,0.9084645357621516,0.925666862839942,1.0715142092769532,1.0925713841208193,1.507700481288696,1.0279920307394053,0.9633086079139997,0.7585480520744272,0.6594730702330619,1.177248835356506,1.139387444582867,1.2993805008509904,1.6660007057493602,0.81895610609823,0.6409867916832034,0.4586808535068683,0.42019592341656836,0.609194116342368,0.34209982967004027,0.4023136818359116,1.3303225104014427,0.34643898587054917,0.39085798802448735,0.42033249424656427,0.2750399835082126,0.39220484088507873,0.4507952362770948,0.5302947417551584,0.53939608505573,0.8961599276584497,1.9115518689857425],[1.4615749489308176,0.9711004160767522,0.7421982095595304,0.4958259704751784,0.40999814133020696,0.3539512110237249,0.2778099601716067,0.3037334722623643,0.28686002113172165,0.29828204159905614,0.33887297966169755,0.42965095648309515,0.3209900537883103,0.3083563963267822,0.44867203610312284,0.38689962158945834,0.3579103140521887,0.3867596906061111,0.4044633410786137,0.41444078154118946,0.3987964237422296,0.5220659100641148,0.5456851665492409,0.539735634096395,0.4693249921378388,0.4409174686974364,0.3815494671744459,0.35748807811133715,0.3525449325517386,0.3823056030825865,0.4550162071918457,0.4820563578530966,0.5247096083913962,0.4710775815003444,0.4443803547389575,0.4047582455708658,0.4265358390115579,0.3524875404388633,0.37046610744185854,0.53007877848833,0.8126830364195944,0.38441185809913303,0.4140174077296386,0.45314259225668035,0.7343207213969684,1.380792621371352,1.129057249203239,0.5450813684417967,0.9733297275236314,0.9624426619035639,0.6777176682364664,1.4908230968500131,0.9971907086973386,0.90375490656272,1.6855862938605013,0.8896564564913881,1.4283546698470848,0.9474393165038039,1.4812979927252512,1.0485871946343175,0.7111549326392104,0.5920392204858973,0.4848536879645906,0.6235514662611003,0.44599131631427646,0.44012080207879,0.6675825649773727,0.5045391463681882,0.6175110597273956,0.5281300910459513,0.8034936123539042,1.1242122773750391,0.7906382834685162,0.7569916149551092,0.51683132603507,0.8541008617096041,0.43843525009084267,0.4887477077991023,0.4723133977085953,0.5156489016909593,0.5110173210289308,0.521344258091426,0.9911980542703901,0.6089280503101748,0.49969871326050586,0.4263277783798768,0.38607565668891364,0.522327035742283,0.42191449137821235,0.5838891019925645,0.46622331660223293,0.6435562614566606,0.5393347767188409,0.503434596052523,0.4546060740799055,0.5410136729260947,0.5508735086357186,0.44760256030598905,0.46300586815632805,0.608060739741402,0.4385241115276289,0.7083258967002937,0.4788049864496922,0.555482149130215,0.5790176182864369,0.5555378897954444,0.752110113339479,0.5758451524288578,0.6170582179707161,0.6922255796872583,0.4718221807311255,0.36580519795970295,0.29759114608898596,0.3465526866251265,0.33146279408625484,0.3342748638372922,0.3690382597015584,0.95488466992567,0.4246696943476337,0.49125681441561414,0.43239579047709276,0.39810364316476465,0.41282819021043893,0.34089783798669193,0.3394833028323346,0.32466525163262716,0.4386061100157322,0.4058106493098031,0.4400000665459489,0.5110529564827434,0.5505741758167694,0.4866090744866894,0.5398599721643687,0.5824610167377013,0.6221917593320784,0.7465399578753183,0.8009254464550354,0.8249626373395667,0.8356251849432449,0.4791789363370275,0.694743075965418,0.6009143475501156,0.427578687098662,0.3547625330233957,0.31416704182775573,0.33996382773742423,0.32066238014029613,0.3628789012854161,0.3318934207291021,0.32786396119412303,0.3970523810210782,0.4118729367413169,0.7188334856437615,1.1210596453873598,0.7320783541896517,0.503162635660006,0.4177090031584454,0.4523540935386542,0.3807773915652318,0.4623238836701591,0.4259665475591035,0.3604503339796366,0.37140393671817035,0.3809688060018027,0.5573514697912092,0.7006533939463391,0.7155106039598959,1.0286300912793371,1.1940367967566536,1.1986296098587124,0.8405449309811159,0.8125782702170791,0.5862287462708502,0.5316377186808453,0.398391890452986,0.47694506099588035,0.4203120593174172,0.7576795837348573,0.45026807385725653,0.5940865740121979,0.7373807295316086,0.4799138883940228,0.48991312038609935,0.4855176497128764,0.4624995670870417,0.48093633950082804,0.4788264820234838,0.6653547359985412,1.2944817663313046,0.758104649598168,0.9433585588096413,0.6535074967657469,0.8680271873778429,0.8208337005379295,0.693633091707514,0.6922409342374392,1.0006914637186946,0.6726811248397195,0.6604288917696294,0.6029014232078312,0.8899485848462269,1.0299535387634073,0.7303535025184246,0.8428004989566097,1.1968764799911242,1.1852833515027936,1.085907091995869,1.0926086360953033,1.5112069454122363,1.1786414814454467,1.0857629167645584,1.3388753984256883,1.487776580360939,1.3418101923275179,1.2135731256531161,1.0328295036952821,1.5338187727335633,0.986880638400062,1.0463874530377333,1.2624960218668266,1.27509816779244,1.9182612588349472,1.6384676539728782,2.2130595278019687,1.6287968482700872,1.608300975506573,1.5547009079256537,1.5047536341753294,1.2971223810546395,1.1447176675608455,1.2835382740765677,1.1009689413841883,1.1478362963420885,0.9653235548056012,1.11099512382707,0.8762176905553148,0.8532053008131064,0.83606699828009,0.7078547807372206,0.956183243265175,1.1076042524448275,1.3059213671576102,1.5077349206033972,1.7002852728128959,1.73036816479847,1.490096720408339,1.7125509403855343,1.8948041468884818,1.6563711738466222,1.698646779317253,2.0342774149861866,2.141244012973878,1.858771334085605,1.9343482776122496,2.144429260962119,2.1323601661556104,1.8214076735707374,1.8959793091841317,1.7092160194371684,1.747543019157583,1.6548827446397556,1.5976809507310548,1.5436025813086092,1.3217039830746964,1.2800436162143465,1.2285530507407578,1.1453627400873638,1.0031302372258684,1.0749889270557067,1.1077577745902714,0.9558221883603599,0.8920168062897699,0.9341337264168897,0.9670290977608206,0.9940206843491975,1.1231141639106716,1.0618201407377688,1.4418911504553937,1.1256741256872163,1.0726917649441452,0.8459322493780651,0.7652498112978781,1.3714256394117723,1.2333803588358685,1.307611829393893,1.5532271425889033,0.795671359616079,0.6547764340965817,0.5962592320163138,0.454725042957781,0.6511270866850096,0.3947405117379882,0.4262571069808473,1.297109489580877,0.3125926733291571,0.3674906563265198,0.39788667535371863,0.2951658332702032,0.2874829604687828,0.42488993784766604,0.35523364880279185,0.6151479849566059,0.8457306171814689,1.4749129089113524],[1.5784142012747289,1.0494183551539893,0.8109745360191583,0.5708379746743933,0.47292996721560226,0.4263688830249837,0.37511181709896546,0.5066561737961084,0.4058116315749098,0.3905776164543899,0.4645336887048588,0.6179956982021898,0.5235184113687583,0.42095963901800765,0.6332321646798023,0.6123058771105964,0.5178249694054662,0.5745337780915474,0.5439487807217911,0.5768824666701298,0.5761891692720782,0.6832644488477609,0.6879425673389732,0.6388278674236318,0.5526238362044805,0.5456222291413386,0.5130987199285008,0.4858622092768185,0.5497698271620256,0.6187355314766402,0.678925853728663,0.7563589860423717,0.8124958412380145,0.7592841853545917,0.7209415826015834,0.6607063495270441,0.6980697063857046,0.5862278413650118,0.5597562914330028,0.6926771825204787,0.8145574947140716,0.5419698514188168,0.5725021008078091,0.6724922047977928,0.6995297124979426,1.2828811931662076,1.01975739244606,0.774755954342605,1.077545259972725,0.9786015324004524,0.8972568431146043,1.4108905329454149,1.1616814847374581,1.0492124305055432,1.8513341782023698,1.1906676370353795,1.5716083138357335,1.101346480487714,1.6983583294208453,1.1769009209126056,0.8004728148140728,0.7608160310456673,0.7073829962550002,0.8084382080632002,0.6458995738877684,0.6393099888228927,0.8106980773984765,0.6843076241436991,0.7396503817651613,0.6793459964731775,0.9315993399111276,1.3113191607743206,0.9329260509989261,0.8762983587933646,0.7042651474918229,1.0265113559352876,0.6725750587943141,0.7671187333452851,0.746489315736729,0.7867776052530763,0.829209182160701,0.751531157261446,1.2709417886435863,0.898066106255059,0.7153036989729994,0.6925425138051997,0.6494434025766954,0.768480578517073,0.6803953512225599,0.8289252588819188,0.7326878182593839,0.8626723952316763,0.7929077383627177,0.7783769728176422,0.7086061711786297,0.7788419368042129,0.7376710152463966,0.7446398561627728,0.7765044934909651,0.9418667647976767,0.7882921050234698,0.9642442655488811,0.7916118093189735,0.8473004354787033,0.8445657300757213,0.7996955899039172,0.9740718124756433,0.7726888065695148,0.7889037971470151,0.8719298368373406,0.6623713443384607,0.5570680873206693,0.4780443333133975,0.4579642251771111,0.44910158270709355,0.41525780777128823,0.4502218589689091,0.8917144606788913,0.49892645909372213,0.5829060945509494,0.5070993150454628,0.47611900707012683,0.43997081375490216,0.3582495465382079,0.3742953784071811,0.41215077206419387,0.5781359409793109,0.5505982395809174,0.595043036730298,0.69021100979412,0.6792199199880314,0.6814089094907837,0.671382295000586,0.7835612596646161,0.6954367344045924,0.7442016160102133,0.7896001120527764,0.7698858219830803,0.7799522976706069,0.4855584524628639,0.6408067285702749,0.5486329201042175,0.4837574421202123,0.4309770036652757,0.4323209671771051,0.48538715759304596,0.45237761827827916,0.5163781892658242,0.5517086408970099,0.5358481844740524,0.6379758299850831,0.6736881028902695,1.0075066271314395,1.494181461341,1.0158663804311956,0.8515737315418563,0.7327644698865242,0.7655553992056899,0.673242787754332,0.7183907783307286,0.6115251903619049,0.5668502843806332,0.4847447240646551,0.5516720565048929,0.6481173656056698,0.6696506902961282,0.73248311790758,0.9293542984990494,1.1023109544642842,1.1041009771281312,0.8109166056704037,0.7747986024925821,0.6411493389486411,0.66666136673639,0.6293073914094438,0.7442722645036873,0.6811721467524338,1.0282477650417114,0.7023507421527265,0.8681748278962411,0.8203984036301825,0.7128708759948379,0.705502498171407,0.6635736550859802,0.6062313592685078,0.6269144409966908,0.6207074093351211,0.7996547503903536,1.2738440237726991,0.8100460699671549,0.9387927941947088,0.7351049876787508,0.8778523201863965,0.8565962580996406,0.7817752369968958,0.8037348883830038,1.077291910340912,0.804926468719553,0.79416151607266,0.7725770483974008,1.0607876180638105,1.2031101792624492,0.886018740950063,0.9811904567646901,1.344599372129615,1.2786104492489407,1.1819166478535401,1.2213217991910517,1.6285416621596707,1.2409238991427312,1.2143443617066807,1.4659321575280424,1.5300648857287797,1.5006571559771744,1.3902303404975078,1.222562282534552,1.7245226152504947,1.19950560710971,1.2317016134038514,1.4677213391392443,1.4995282428707604,2.2220097843609268,1.8853707470150678,2.4393512898261447,1.8649889563541384,1.8849609335144648,1.814098431109434,1.7876563484868597,1.560010003701538,1.3607730184503304,1.479667276279389,1.3050207912493386,1.3238398775209483,1.1272771971315534,1.2582094984405594,1.0051516088664625,0.9909439270136785,0.9369059714898486,0.863969830838232,1.1238117813183828,1.3212834682759649,1.5136771028656235,1.7428933943427158,1.9727061724512631,1.9959411437912062,1.6974894864404413,1.975029818330743,2.1820410643453743,1.8587775293712623,1.8729375798798413,2.2578097446977967,2.3245924499753996,1.9639505283223666,2.1289940631538298,2.3603600179589925,2.214990839252103,1.9686527754886916,2.1105706681173246,1.9033727204136137,1.9715486990349909,1.8580089220565685,1.8383647064720525,1.771794511844618,1.489404193366725,1.477040538479936,1.436547147151848,1.3308251324123808,1.172206633803112,1.2793151957341014,1.272972015965257,1.1033207373974825,1.0388608080851294,1.095778677988475,1.1042658016156408,1.1111272785457498,1.1985069047603518,1.1564529159144301,1.5026602188797202,1.3007458035306543,1.216547900732043,1.0074134653538116,0.9377688522718234,1.4608327939066719,1.2953052287766138,1.348585202546825,1.5669515135095693,0.9026396635629723,0.7516300160659615,0.7242351618718663,0.5728996499665231,0.7834681477009419,0.6286202031004421,0.6671433554095364,1.4800620914304952,0.5229329699096517,0.5946686117529415,0.6980392697843711,0.51166962871339,0.4446117112546139,0.6542198289757611,0.660668096758455,0.7954024979648586,1.3685313846857134,2.701746663803752],[1.482307769417627,1.067124191222836,0.6327366596267432,0.5083617929119529,0.44911433539038353,0.32235720208479146,0.2703527757937149,0.3249551741971835,0.327586467314411,0.3680587717082726,0.4556320103759017,0.5132789958267265,0.4443371097375116,0.40584844519743374,0.5622423960103167,0.5202946085862655,0.47974978225523834,0.527270051314215,0.5441741843027209,0.5123814549052175,0.5513818989444927,0.6809265205126722,0.692692082316057,0.6786368610354417,0.5146448595343758,0.550279306652738,0.4974668262743109,0.45737975284536325,0.47328033369074807,0.5100003367022261,0.5812857383117587,0.6184967224780936,0.6532297163694476,0.6322692931405565,0.5742957955796985,0.54652186595451,0.5539817316561214,0.4959989741867454,0.46668768382538856,0.5227923511699377,0.7155802917197388,0.5268712491170423,0.5399952114323877,0.6019540801089711,0.7407439958838259,1.3144052595731837,1.0639706047038833,0.7206162315518103,1.0582591996946986,0.913550711102656,0.7843193428511006,1.4757157568827202,1.0548801674696242,0.9273361930652628,1.7618806051093145,1.0123860932577908,1.5290988001945534,1.0027074618380913,1.5582916961816935,1.106122405369268,0.7048552516680485,0.6487844576846413,0.6208766642983926,0.7603466286459123,0.5718919064855136,0.5704330576652457,0.7784303325810992,0.638666649580131,0.7115072952619288,0.6526998151105513,0.9123577844088694,1.305808868855392,0.8899762958550966,0.8617706641237438,0.6382919831100046,1.0137625016848344,0.5982138805252524,0.6598900567710112,0.6085874346442426,0.6555337617555769,0.6715463111479099,0.6014608049907066,1.1400067436785453,0.671211994006944,0.6104769435915393,0.5369660150192038,0.5315124453685716,0.6057113945396729,0.5785738059853052,0.7198072820118323,0.6372007455698219,0.8014445510806529,0.6995698044364937,0.6520052760024188,0.606980906813326,0.6786787408914547,0.6705521798609959,0.6005488012970709,0.6134146194509632,0.7570341146426073,0.6087012365017154,0.7728543947149801,0.5780362363090995,0.625342738419862,0.6315688202261242,0.5744512072500839,0.739659974487919,0.5035540514427315,0.515410496067035,0.6863652184875607,0.41805072690796574,0.3611803550906143,0.32372794823549284,0.3745007048688212,0.41480527585213267,0.4208124611124341,0.4241245385041001,0.8331927520679973,0.5310539348405751,0.6043941958379049,0.5303742629699724,0.49594364282964737,0.48030390790891353,0.39231708294797185,0.35654595611935586,0.326262690930848,0.39383423839800863,0.3854199864674963,0.36018492121578977,0.4548566215634839,0.427199732798626,0.4359156475997782,0.45169786427649583,0.5751575127924309,0.5084925659620301,0.5805338309511551,0.6123442508336912,0.6195256166530874,0.6948354723172674,0.44783197741656017,0.7038849476764385,0.6005639135816019,0.5144507965744192,0.4193802226819535,0.40852390047037135,0.4373546867036179,0.38389618188494673,0.445507705200313,0.407391351660353,0.43446756643099815,0.45119782023827365,0.5143194079077577,0.7854581160782039,1.5732599951435409,0.9550003167733908,0.6393658741340192,0.5539529810585392,0.5373347021840801,0.4929691260245911,0.5210914226011982,0.4603012451920668,0.45623305026120886,0.39411782640593207,0.42544480928471595,0.5233462977786887,0.6062183435178102,0.5659502645198767,0.7993022900653546,0.9558409073016894,0.9891875999277779,0.66601793481782,0.6426921519430572,0.4857320025884409,0.4957486817305291,0.45264497777651935,0.5354668473297598,0.4980922488464343,0.8808078396419163,0.5097728822712811,0.6577689214962903,0.6717188210513232,0.4855926927568604,0.4854854004334329,0.4375862290743663,0.4234327115219267,0.4909420930636024,0.5041031164903279,0.6863474902631949,1.232779661189098,0.6964216377564458,0.8445637419737587,0.5939371047973172,0.7594153129365483,0.6935949247570291,0.5656412427872191,0.5710550696082238,0.8624148539675723,0.5184835472026227,0.5114783025495899,0.4915447250970414,0.729895671880392,0.8995995391130439,0.6140126187435239,0.7066228830743067,1.054385034774626,1.0523075088433982,0.9960904275904892,0.9929473045535788,1.3739312598411206,1.0901070165451185,1.0475160221187148,1.2829781948809111,1.3991918714555047,1.3769673266743652,1.2588826761693968,1.0453108695592375,1.549627611411739,0.9617049785284505,0.992825550084597,1.210879863582068,1.1968691626223094,1.9710917402644734,1.5499062567016684,2.1303956686627084,1.5213992339241111,1.5117191237969294,1.4587588995597665,1.4277121644276591,1.1702513477943104,0.9964017105959028,1.1447196068396177,0.9418256320448932,0.9819405976579035,0.792236614853599,1.0669021072041218,0.7012347243954411,0.723181595662338,0.7439489376500886,0.5642201376652212,0.7909101210304669,0.9613292499609903,1.170989190219019,1.403046749988531,1.6069690685680011,1.6657002269094832,1.3614023829711153,1.598318106863235,1.8430021292219394,1.5493554131031417,1.5613422279224096,1.9274374592623047,2.0163370524623976,1.6931943775632237,1.8190249105862708,2.0539756869385846,1.978709066455283,1.7211864661343923,1.8282247105637164,1.619753784965464,1.6466031635867795,1.5284831018119294,1.4881584378903776,1.451661752315197,1.2006891173201055,1.1394881159057817,1.1085505042619626,1.0430202108157118,0.8674366024454673,0.9336148043838237,1.0023053705924092,0.8591401904347036,0.7606590119542244,0.8253704812068888,0.8991193048084615,0.9275843068315561,1.0613505624571842,1.0617432124178323,1.4655485734350053,1.0708975500958666,1.008125753390801,0.7960815968566868,0.7130454764006855,1.2307671179131134,1.1450178596775664,1.2707695419179181,1.6207749891557033,0.7902345543150332,0.6365394084182997,0.46403901652605856,0.4013658664518614,0.6189646733385726,0.37288447985571316,0.42389257409914377,1.4000677707781601,0.32131804137662645,0.3743948278028951,0.4735977093472977,0.2780132191751747,0.346161884692758,0.5112537849555299,0.5661012034877938,0.4985762892374084,1.1459883904838146,2.822900827332163],[1.397116327776775,0.9737132999889876,0.5634193991823097,0.4956462864451856,0.4457529380390651,0.3371808579953489,0.2878005537825575,0.35311985237495214,0.3248242837627289,0.33212208992913733,0.37774019729272734,0.4825737486980793,0.41732502142616174,0.36833311123476276,0.5483147900201233,0.4843476317115187,0.4492901668467771,0.495372729095143,0.5022412955818301,0.5047202431598564,0.5207875612776033,0.6294587078604238,0.6328199097934477,0.6378816373553317,0.5216667913705267,0.5278987824616306,0.466961057115723,0.44652868700558557,0.4547910019653934,0.4815988200310052,0.5336410592237529,0.5800525208945867,0.6063006017069129,0.5630529912495279,0.5310532811344382,0.5113465013219504,0.5377158758650095,0.4730550145838351,0.45131516803611516,0.5496617391851525,0.7543777441392018,0.46388550829105724,0.4761770728797083,0.5981271612518344,0.6781038430620586,1.2516206914613581,0.9706099550753184,0.7172720996312667,1.044434164305635,0.8990674830046268,0.8135062168802917,1.4057263134045077,1.0410938776486922,0.9303996814806081,1.7763326747760173,1.0474548282735103,1.489681855681066,1.001936824978097,1.6071667816524358,1.086021565808797,0.6930132900153443,0.6436479718073742,0.5750239693989075,0.7195362546796498,0.5350178518934608,0.5412539113107468,0.7481777418092633,0.5837446007107783,0.6796783919492914,0.5982789756605305,0.8914167115091626,1.2192390255969643,0.833011516772836,0.7735568856830367,0.5919464885876621,0.9305082785231402,0.5298495283803843,0.5888987668115294,0.5659412601237692,0.6290868979601657,0.6469580768071762,0.5972486375450886,1.1459059832997214,0.6980807856648316,0.5785963176689416,0.5234015047014153,0.5046083373689246,0.6076690663328129,0.5342124705651522,0.6619301334040423,0.5649223652374882,0.6853743730145087,0.6016475638495987,0.5690153399135437,0.5279443644469988,0.6040809293476898,0.5999498729925165,0.5354175449105125,0.5668073071275038,0.7180918195396416,0.5698965388488084,0.7774965668841655,0.5820036594034307,0.6452522355192504,0.642699810211944,0.5900506395254637,0.7414820306396674,0.5120558790762776,0.5256938002912949,0.6899803830427232,0.4369021560710873,0.3857172928020994,0.33555529865317285,0.377654210575383,0.4079430949366769,0.40164117928576754,0.43192236213834734,0.8706087588339854,0.4975241333275254,0.5764473118932203,0.5195060531574304,0.47599789416514754,0.46551618808621653,0.36103648593029997,0.3587027377755779,0.33916831178455575,0.4385063131893795,0.42293031760452326,0.3901404173201872,0.4794972475548782,0.4546700288187196,0.46527299771524167,0.47741566256547685,0.592162066632665,0.5317329523367247,0.5909108784349792,0.6154128430667279,0.6525945027095924,0.7397901903461079,0.436776620168496,0.6565599786607698,0.5340022736532233,0.4659624764626906,0.3892457058538319,0.37586943406540896,0.40858966119481654,0.3722493774735331,0.43598790293084827,0.41245211349882593,0.4240339034808331,0.46396400407254856,0.5191589114796312,0.7928231304041174,1.5315917596739694,0.927221312830287,0.6268264585194595,0.541365887027708,0.5528108806910238,0.4933899927788858,0.5436145466229888,0.47301552468455893,0.4383241436828813,0.3818373500429542,0.4174431096651477,0.5363274401453643,0.6104208466548872,0.5981226251267494,0.7812098910448977,0.9463037917302978,0.9773467048785381,0.6816509989455056,0.6561428710303207,0.4946676326156483,0.5071345875050833,0.44859829228029546,0.5501713127481974,0.4919704727084673,0.8681380642704103,0.5193808766518497,0.6719049004347799,0.6837513276342071,0.5099884670563867,0.5139346631555739,0.46976085577715937,0.43956627302136697,0.5027979035047513,0.5204601264520263,0.7066594135219466,1.2059722429525017,0.7002182939510991,0.8474150067341173,0.5988280756915614,0.7637768258290225,0.6955498411153378,0.6146504631217793,0.5617197366292945,0.8662394946318654,0.530679205172847,0.514728846428291,0.5071575882552749,0.7037684323795333,0.8698938011035684,0.6032927534200181,0.6680477774978669,0.979186769316703,0.9751642820924016,0.9399388876678922,0.8895706873987717,1.2236752139910985,0.9527325725015806,0.9157681579240382,1.0910074160787229,1.1931721378383287,1.261440629641367,1.0928027370164364,0.9254089012165041,1.3726205977843067,0.8532520706005218,0.8680100961986515,1.0385434265693954,1.0443803168983685,1.9500141653208656,1.3922136230801323,2.0141656577106204,1.411941087059489,1.4216629234278546,1.396251098605135,1.3896452508086747,1.094573841093767,0.9391930096805395,1.1213528650859153,0.906590893030613,0.9312829744198649,0.7709245541486192,1.0910701629700614,0.6510013007168302,0.6981515482972391,0.7420144247017677,0.5568960337070049,0.7942548834593445,0.9470017236230338,1.129546766110994,1.376902655839047,1.548658178289168,1.6355330247918218,1.3274098544078032,1.5037104462970186,1.7685858722065366,1.4940374059889792,1.4623904053478556,1.7842280744729586,1.8654507141736942,1.53263332960807,1.634574887855337,1.8355529638725716,1.7557935365730755,1.5007663980131654,1.600827619157689,1.4233198354050196,1.4773097439046388,1.4041136375386463,1.3693464609071915,1.299556553107669,1.0737077100947359,1.046291886206511,0.9954886620518159,0.9298314095496361,0.8002090395255759,0.8571383918977136,0.9096403702813589,0.8022106905426917,0.7309603396493288,0.7951888258196714,0.8738431855506678,0.8989186597694118,1.021085331274115,1.0452416391007495,1.4931603363081787,1.018537489422537,1.014776838927683,0.7713541391902131,0.7414077427510488,1.2900908055921352,1.1667581622665646,1.2548337953326485,1.5914950134635057,0.7895002203276017,0.6839613329040207,0.47717537324513776,0.42309257859646776,0.6096421847822853,0.4065327715198626,0.45543092296497373,1.382402977163268,0.3767447525466432,0.40597634275894773,0.5159723648230296,0.2938007344738735,0.3226807761146506,0.5372516616225835,0.6873054729838939,0.49578587834541965,1.2085247035785718,2.6198366912873996],[1.3073293454856063,0.9588777953161951,0.4761052469189086,0.5347590693717914,0.4875588092726481,0.2945891711794108,0.25369286330510593,0.30824058575999735,0.26192027164603854,0.2658387154375035,0.317840893374877,0.4277018052044737,0.3383809538196776,0.2774248379017488,0.44571793872487664,0.395534133032464,0.3756460085489567,0.40917862468613014,0.40976310669336097,0.4262092237920265,0.42940567451532596,0.5936779924085228,0.5717147592909019,0.5645031642728459,0.4487131479392163,0.45002194181329325,0.39315904480666214,0.3734933558289174,0.376686423643145,0.4215645096309657,0.4657682418974882,0.5034816314027898,0.5397998309755309,0.49425895085392757,0.46677623581178573,0.4368949056530482,0.4587278625190164,0.39814965000832686,0.3775969720369466,0.45662648513244086,0.7072123274994834,0.3978746524309622,0.41995358414792516,0.49501047678898036,0.6665442362059185,1.2698513428155047,1.0104381162250815,0.6183456991772851,1.0052224538580607,0.8762708858462488,0.6940346468822235,1.497857151655903,0.9776707172221002,0.8793238667734734,1.738254833034899,0.9283075806309323,1.4232062116017596,0.9618996523863479,1.5306331973043,1.0748741631416856,0.6901057955919802,0.5861874323323539,0.5050045613914859,0.6308558704567598,0.4609470220572665,0.47055199978427026,0.6920158428186742,0.5197606829859647,0.601685456279853,0.5220985277411614,0.8129794427490477,1.1116410339997185,0.7628491137197833,0.715617606800842,0.5039530817662885,0.8795096668770906,0.45701446818579716,0.5014790129229586,0.4851280966252295,0.5427672596171896,0.537995220848696,0.5305205619603072,1.0369237933586062,0.5878481575732275,0.5676406543825192,0.4525786350750183,0.4352063949407716,0.529867803120304,0.4557850112618858,0.5954850688974654,0.4931638931355296,0.6148063100997476,0.5346664629062287,0.48503805369173747,0.45991559063081483,0.5193106513013381,0.5279758128088337,0.4594545061022083,0.4842783042614758,0.6485983776717121,0.4939295492262111,0.7171434692452777,0.5096175738398685,0.5760953677672196,0.5711230718626175,0.5073931530654595,0.6374341486126069,0.4367481177682365,0.44094582905011653,0.6330677037260305,0.3647317539698551,0.3296651626814678,0.2865529369438899,0.342163283413376,0.3567464246964712,0.3571909310686704,0.36820284668936404,0.8535220141485927,0.4194726988025506,0.4976084680572273,0.4330834902158773,0.39850540954834757,0.4108067712329301,0.32346445903203724,0.3276438354875355,0.3030812405049133,0.3646739461213777,0.3670185847965864,0.3208611246648433,0.4000842198741269,0.3626204893016165,0.37968813312742783,0.3972750135641659,0.5162523873678754,0.47102836930181724,0.5407763801312678,0.5465360795766405,0.5974709063691602,0.7183077975488432,0.41548167890398613,0.6460489266329799,0.5160897345392774,0.4178585808031458,0.3508449545814985,0.32833679139421995,0.35490585097740546,0.3176682877307857,0.38132492776917115,0.3700235479286557,0.4106463100160178,0.45586181298310746,0.5325444968492277,0.7202779343300258,1.4115955040835557,0.9509972433210372,0.5786682930858541,0.4944422670812556,0.5074824269249288,0.4429739106323075,0.5087394705091809,0.43599628154793657,0.39407731829882786,0.3450380353039292,0.3810890807138463,0.5168373276580897,0.5955050693382172,0.5592750675160556,0.7651378814329589,0.9100554693776235,0.9509929576583362,0.6370454400917288,0.6201738961263781,0.4533523803406417,0.4501287666743282,0.39899496868270645,0.47447957346163694,0.4448883785749291,0.7676528916530307,0.46214235648155844,0.5776433359107149,0.6471760210110011,0.44424362529811834,0.4476114516652485,0.4131372728556802,0.39454937142655183,0.4647241245581404,0.46324597099698545,0.6442835121025715,1.2195400330837434,0.6793957757438032,0.8281806722862184,0.582476900771653,0.7503146823642806,0.6619956338627135,0.5247772125432478,0.4936134680080117,0.7787915562031793,0.4110537220794926,0.3974257578626147,0.3883740815227361,0.5123082892145951,0.6806337340268018,0.4545633537154772,0.5068505548905141,0.7768327893775561,0.8226827696632447,0.8427727861519548,0.7473446072579585,1.0398260237818433,0.855500264069438,0.8135345419534246,0.9590613252218065,1.0868765514474272,1.161086716425666,0.9950225983622393,0.8207955818783198,1.2365436844254092,0.7330550886109699,0.7264593003878599,0.8605667792103066,0.844041830546518,1.76034634310625,1.1770428377432827,1.8019300792742756,1.1944867375417898,1.1505775305626529,1.1360764574764073,1.1300610883184277,0.8367572832550646,0.720139769940993,0.9061765246510253,0.704776754104627,0.7784845835522374,0.5910534926201054,1.0064678359040717,0.5614462522412413,0.6290848797330222,0.6850415312659132,0.41742215906534264,0.6149920583352873,0.7278056820705894,0.905984838917558,1.1597404471858257,1.3086866397166823,1.4233791331451127,1.1054185103271348,1.2335886140534444,1.5259726296760463,1.291614143121153,1.2397988642108613,1.5368629716597024,1.6345677079489307,1.334586034624102,1.397622575229313,1.5883200046530948,1.5721799067488809,1.3036747481498996,1.3692042441602554,1.1941424878019635,1.2223404539801253,1.1553337975172837,1.1058332685761942,1.049387323193347,0.8703505935069026,0.8173152054231102,0.7738097787779807,0.7508956053752053,0.6300219640389595,0.6618379884486,0.7802664064414324,0.7272099253412811,0.6479492699158462,0.7060670049247098,0.8394506818236445,0.8580206426618644,1.002990744579217,1.1108467186953266,1.561067531721826,0.934271077997663,0.9355117316211322,0.6949158434208355,0.6384053250967646,1.1733006219713877,1.1037832226711521,1.2294334231587372,1.6145632284162446,0.8189025558255206,0.7187834981743696,0.3837775766686185,0.38935101078526796,0.5397345817986541,0.3268362421480075,0.3673952782437866,1.340051709449076,0.36252521028910595,0.3755476565007941,0.44779224278777635,0.19424452271963485,0.29588545024881885,0.467228303285049,0.6818908834862965,0.465044337232945,1.3024486590413193,2.2630630355580545],[1.19296827199413,0.8467221548242967,0.5071720716943052,0.493295361678803,0.5024639771742161,0.2752662046633325,0.21067942408099005,0.29480896843018134,0.27360962282713075,0.27756214750942054,0.333324773410754,0.4544321085653573,0.3611115352452325,0.29307788048231825,0.4014934585887475,0.3819378827286506,0.36830207836118967,0.36905291045946065,0.35680084449282673,0.4042052988086977,0.36815464059744896,0.50826196051217,0.47874949110706183,0.4800491849164477,0.4408010231879105,0.38812799347676324,0.36455008536203437,0.3389410939596293,0.35471589341625714,0.3822478201777775,0.4443280470988631,0.47625365065330416,0.5101341508852254,0.46721624684127383,0.4496664194327345,0.39360736671572666,0.4309909499643844,0.3490704854692327,0.3741224014730712,0.5219725877882314,0.7883683528046457,0.3875413291023044,0.41641950779325976,0.4579212085431386,0.6705580489207915,1.2807478943703008,1.0276712038766864,0.5298177785267725,0.942019070515232,0.8938578822717395,0.6445190887168986,1.4618867143528895,0.991044492358029,0.9115541504972643,1.6871870493832468,0.8861007790777666,1.4297430766091268,0.9385106350533181,1.439896756898221,1.0416944978533451,0.6930360478020309,0.5930178943395877,0.49521167323716614,0.6011806572815913,0.4436983056021,0.456823971063181,0.626779015810729,0.4873530558921461,0.5768208850775446,0.5195885294530878,0.8011691440179549,1.0459715925718809,0.7561139995881897,0.7056330022198198,0.5045092173105995,0.8189439349585675,0.45112178190988234,0.4827542269576191,0.46770655285640816,0.5068428251068609,0.47313158718487525,0.495373842020685,0.9532550287450752,0.5737896214668131,0.5018971830133064,0.40131867225234835,0.38984145809343657,0.516880813457866,0.4254685202758876,0.5704327938725997,0.45215061169892384,0.5870744218530667,0.5081526123889542,0.4796524002467147,0.4435681139515872,0.4989879707191322,0.5234259881518576,0.4377347765932136,0.43971338044731934,0.5360669741801629,0.4232854294083146,0.6596540143917443,0.4637835984711949,0.5136856703477285,0.5495088283612953,0.508204182455897,0.682587769756916,0.47512246024992083,0.4868447318455346,0.6500346820787104,0.3922913418426436,0.31842483840609825,0.2855668847846272,0.327299487286589,0.3097671825967235,0.3013261479062175,0.3278337050826401,0.9779473087941358,0.3581748942409206,0.447929139274431,0.37109076659477214,0.3448205964343663,0.3205290711427681,0.26884425772563864,0.2851417325755988,0.289672438232176,0.3675134488393953,0.3790669842972242,0.331626291859607,0.424632642189075,0.4018787247105654,0.37521585292835746,0.434674746674155,0.5309636977914087,0.5216400357256948,0.6302305552254697,0.6031816358456412,0.6982553623551934,0.7681640273081275,0.38678815504693903,0.6061207507892625,0.5142689350571361,0.41173653859678205,0.33498129283639755,0.3204639952173026,0.35449579225837147,0.32336204556152304,0.396571869547225,0.3292807254621217,0.3539017082415898,0.42564999458827485,0.4262942631901926,0.6689264745196615,1.0604308872058685,0.7228798931146019,0.4584868268284751,0.3980293582020749,0.4443300060027739,0.38450022443323845,0.4573754954473965,0.40154904719905193,0.38044225780899144,0.3525195046794912,0.36581039277082145,0.5271922329480955,0.6524504302178796,0.6053721300306717,0.8605214127791582,1.019500075344995,1.0445373598767196,0.7101039960164526,0.7024170037141931,0.5350889934542575,0.5036139243506378,0.3809828931918576,0.444021148371362,0.4261582526807449,0.6801767575413225,0.4374063045105223,0.5518573230561896,0.707070552407016,0.43640519063174027,0.4386040934858524,0.4207642543463973,0.41956514782354526,0.43353952971469206,0.4407110234571456,0.6625193640196618,1.2424843457366799,0.6919614129541926,0.8532141941182175,0.5543544769451206,0.7486854051791998,0.6949557152999959,0.5726875777927437,0.5241386710279118,0.8386298127560438,0.46347197193845596,0.4359159788173488,0.4061590393650869,0.5462866938290665,0.7015323937579717,0.4766090968604722,0.5322803345760002,0.7911213994252492,0.8349086101523633,0.8359603051579364,0.7323194386840629,1.023914067891477,0.8162116368499333,0.7560726848650768,0.8883504145870921,1.0136866160575821,1.0680568127177101,0.8962765184058131,0.7620087927012303,1.1593156366218018,0.7006646439194363,0.6948655014222582,0.8066516535098375,0.8126037613498233,1.7337345741787669,1.1464201350445136,1.7719439076066998,1.1920266794638632,1.1427908274206404,1.1248935469280317,1.1122283251111735,0.8506686230257701,0.7443100663103455,0.9317632690641162,0.7373430669580334,0.8304945775091821,0.6462127568388447,0.991675731802384,0.6122297873093782,0.6577758555554816,0.6930329102854892,0.4561697831959616,0.6748221670019486,0.7673033189107188,0.9201591981501223,1.1583329287708368,1.2783057496357726,1.4010211449719532,1.1157371338214928,1.224470371794325,1.497483246816628,1.3033971868460867,1.2507452110492994,1.5163578688752626,1.6179843653212518,1.334698479147331,1.364030212478545,1.524046991456297,1.526555825084776,1.2361768894291583,1.2895328422406505,1.13604155931098,1.182548942734495,1.146525928712483,1.0952741611708605,1.0126943228955638,0.8560353046844615,0.8233844674919614,0.7668584509493147,0.7398975235991259,0.6491589012760348,0.6787707526288722,0.7803320327255371,0.7340850451508947,0.6762815270457838,0.7316520223618322,0.8424009538475992,0.8626106304776775,1.0177710112832132,1.1029371537526276,1.5764440575197678,0.9472668577526445,0.9750148234230227,0.699380676687392,0.7001798684322982,1.2750603044249011,1.160513817722321,1.2472647384745945,1.599372377023629,0.8073176372921953,0.7469911811522757,0.4163156607995472,0.3811413795616293,0.5319409538405779,0.3336341107883844,0.37526357763022206,1.3252268137533805,0.3702470840373915,0.4048876229387031,0.40019202504176055,0.23089770998019923,0.31292799544754557,0.3779042244696113,0.5516703453511813,0.49085003819563316,1.084135639666126,1.3268387996748625],[1.1613582684905561,0.9543444422737527,0.4345738360400756,0.4963854225607096,0.46509640045670775,0.25290921022605056,0.135311503694012,0.24124516593584877,0.2493361959184427,0.27190388759515316,0.3084572762224215,0.4201396893698069,0.32658426358025894,0.2884319172038269,0.4047074971973533,0.3647595478212308,0.3655703473441984,0.3731681580542449,0.38028258413125127,0.3846787952739601,0.3849867811101428,0.5605715267265563,0.5263777538661737,0.5194384718118724,0.45795349512288175,0.4259879443971859,0.35360524813766925,0.334239915430565,0.34552415309874535,0.35401176775972976,0.42773430829210146,0.4251277016003159,0.4673841785416453,0.42382497324768265,0.3940921842231999,0.3609059589129889,0.390137077003435,0.33133637161475415,0.31533839903825367,0.41037347592537643,0.7244331737506673,0.374145242993306,0.38104147164249463,0.42310673735442333,0.7380220798527609,1.3712189004671107,1.164944407443115,0.5386887459548257,0.9765656333275603,0.9787119697912234,0.6588274251512365,1.6747166567515965,1.0102635312846593,0.9448023319823201,1.6661923720107135,0.8047878067377912,1.3858503881743702,0.9777744794122909,1.3951472992558582,1.0842249352684268,0.7191295750238953,0.5809796661744766,0.47135260726010564,0.5904451752441182,0.4701272098919502,0.46499271409561127,0.6389327795629892,0.4729973758086764,0.5938338753851183,0.5398862141393668,0.8208554001322552,1.0289384216289859,0.7576244376916359,0.7305275504661813,0.49312803134098754,0.8240526271498991,0.42123005943942626,0.42204197290008555,0.41872971423462896,0.4790641052036447,0.42625807939421195,0.5147348091218144,0.8706576512349589,0.449031721840541,0.49560639851463073,0.36661238675977864,0.3632055153781967,0.4837724930612806,0.38422281396616104,0.5220970273403962,0.4228806818339844,0.5673595987235374,0.47115178675207586,0.41218925783585625,0.39644421144799075,0.4487729644449647,0.4998986584924108,0.3932343861462591,0.38335606599658734,0.5130532569588663,0.3849833920564673,0.6085937382284752,0.3929378557206799,0.4373076110580038,0.4854533360508841,0.41603726097986843,0.5481683876678606,0.400046884926374,0.3960563964880088,0.5954031402779667,0.32257978366436774,0.24553331070385417,0.21145973065148987,0.2718208307824635,0.2779581670771967,0.2782022323996778,0.33380301702980403,0.924572585517009,0.3534740698353691,0.4337906452748713,0.3682286454944244,0.3308083897790287,0.2983913383401071,0.24700432541848866,0.2372523949692468,0.2265465570158863,0.292199397212464,0.29630415432936463,0.2552632270914026,0.3669814479332722,0.3379962680345945,0.3026228044023518,0.40517206581072013,0.45463846245332407,0.5019008802377121,0.6347814497353986,0.5999971599564148,0.6591563150145433,0.7232904488250718,0.3804290451387857,0.6009480472160845,0.4967932527794154,0.3654202092054304,0.28600218090390733,0.2762256612908918,0.31392026737345624,0.26954182727850684,0.33250425498139075,0.2744944294474333,0.33262261710502905,0.370481897787018,0.41228323886633167,0.5834496180643046,1.016290608268756,0.7525708489293006,0.4154399641353873,0.3563490184047377,0.38033797176393364,0.33024848170370535,0.3695203964961962,0.36718563410829147,0.31089213470985916,0.2887926479808541,0.30621525455521287,0.48760946598956445,0.6246732854687521,0.6012265793417373,0.8977838917694264,1.0279478636432289,1.0564392221618035,0.7065886932726161,0.6909350788471346,0.5018333256088587,0.45357438316685283,0.32096805338312795,0.3541228942866404,0.3564536583607039,0.5822588506560836,0.36448117164674715,0.44699252529543837,0.7131468066193822,0.366446531891597,0.3898366038838754,0.3694452130106422,0.36976319493203497,0.4101175159361485,0.4241015125756977,0.6250770891937923,1.2756371468286503,0.7178275941917233,0.8903938110668254,0.5877401088983607,0.8166824174657472,0.7383663198025031,0.5284896525455927,0.5302195786871688,0.7860734138566678,0.3900576365685953,0.3740976722268604,0.352508738823414,0.4698726473619616,0.6321171648492193,0.45826855173617365,0.5258549374939153,0.7534361658568167,0.8550101115587887,0.8679448733400738,0.7617553507862841,1.0271121928852613,0.9198539296841737,0.8099598865508802,0.9461870221388979,1.1177076825657373,1.0786257314859948,0.9598001021017929,0.7914860234640823,1.155749736967929,0.6695869910630693,0.6818476414788648,0.8063601308717225,0.7516361511092995,1.5975083545107598,1.080754781032047,1.651662261998498,1.1038875834112345,1.0017914771746559,0.979261228426436,0.9520749043063227,0.7395396503020851,0.6452130631448154,0.8080983543715391,0.6464788516574487,0.755954102788584,0.5625002730576852,0.9674103865567537,0.6107787952384952,0.6372034659717979,0.7208102813637519,0.4159887942372346,0.5550853121626517,0.6309464393992594,0.8005574694492635,1.0172826112909248,1.1300373983287804,1.266696902716337,0.9907649252509922,1.0794287139558254,1.3468651013810493,1.1978212269283495,1.1453772573464156,1.3791570089029817,1.4941308552893893,1.2824883802557179,1.285333290614826,1.4371298229162282,1.518654242825773,1.2366383688007156,1.2503418122120273,1.1099731460224134,1.1093734651749423,1.0553063951158421,0.9973098331465179,0.9543706726937243,0.8388592828397741,0.757050738823966,0.7201700280339934,0.7276889893375686,0.6145729531168775,0.6241090409922481,0.7866308137724721,0.7328996260102905,0.6294346292971903,0.7076969682757748,0.829699266845323,0.8554603284595849,0.9787085693179072,1.1266629035069626,1.5355935727255774,0.7923060638031422,0.811398475675675,0.6321167317432435,0.5411710076735102,1.0123159646608215,0.9677456666624843,1.1294581884064263,1.5697662442005682,0.8148402272682354,0.6804792427919731,0.35795595861768326,0.34371531024198754,0.6252640383191859,0.3241952632900234,0.3812977878834948,1.148322190221432,0.39636264618796063,0.4674377868284836,0.4109693755545483,0.24998789058328713,0.4072955673480239,0.43283010720595966,0.5205670559243524,0.515514297522783,1.191196306193883,1.4329228445792783],[1.2287622254331105,1.0862146379443207,0.466516478338256,0.4316101902033258,0.37985184600362454,0.24731802872272388,0.17094935790726892,0.23197649309086052,0.28905155498216695,0.24116623456689748,0.2593099562451136,0.3679575887792132,0.2955990013290765,0.26214496569721757,0.3113445412374164,0.29381062490316173,0.3403005477225126,0.3242961597774417,0.3684470478413875,0.3548448661673989,0.37543095120525466,0.5598350552351459,0.5500705174122981,0.5658644131875031,0.48534312488847914,0.4591603063385465,0.3528670234225954,0.31926080513508015,0.3253316486823767,0.31694455867055177,0.3383944928208015,0.3805893927241977,0.4004563598444667,0.36053254392890277,0.3340492576404763,0.3296293499174709,0.3571503278907106,0.321514280618158,0.28430407583399975,0.3771479102141412,0.6823001499867742,0.3814879287798214,0.3792012456735119,0.44653249005932555,0.8651428824743022,1.5059373281025505,1.3788842521582263,0.6201943068749983,1.0475823706153158,1.1559711978338383,0.7996316829113818,1.952096725042829,1.1360970944734945,1.0723895218995296,1.652998911052783,0.7456411752987104,1.3757887101951172,1.0173380618700076,1.3245988812544283,1.1325309491512283,0.705771899675479,0.5401057417255503,0.4251557463234929,0.5258343147283635,0.4364068983853774,0.4375953490132669,0.5714325790358075,0.39973226393520594,0.529389933304143,0.48225535836433703,0.755137536011223,0.9379068937933005,0.6888802482817492,0.7078460067064613,0.4600401908192244,0.8270718592273613,0.38944532287190203,0.37249801425401513,0.3642837798477334,0.46271324842780953,0.3835347724350608,0.5303369300509112,0.7833093088964858,0.38410602508122693,0.5452608832051443,0.3483205903128567,0.3520956984127003,0.4555168152324212,0.34924800670087175,0.46910228625447586,0.3685289762837258,0.5377218995599733,0.4252473410054089,0.3324303631026094,0.3301829498542725,0.4121318828161534,0.48058056604473526,0.372703688962599,0.34008948844209586,0.43794437022946,0.3529110888243352,0.5576139133881264,0.35778088726434115,0.3959510930260976,0.48842164874484856,0.422957241933888,0.48838598751756235,0.426914539517132,0.38106011622539543,0.5716328755724756,0.34586263943753254,0.2726446725471879,0.23232883402878252,0.29158357438039184,0.282042250893988,0.2739503312964244,0.3046105095959488,0.9321763155167457,0.3414172467919066,0.3848162417529095,0.3341360268161422,0.304672246394121,0.2982837902442957,0.23496468435256626,0.21642628136708694,0.22449575085552548,0.28500372606115576,0.28904616606419514,0.2618950862528235,0.3797947150085116,0.34949834555873743,0.31570361648759343,0.4497312554312956,0.46207528085270005,0.5367470421770407,0.6787262999390895,0.6110572759444951,0.6414272468469486,0.7171065129791087,0.4586564281839671,0.6547346983188435,0.5592892491198223,0.38626566861428935,0.3126001477241351,0.29928049356319364,0.313144153162168,0.2644265900543652,0.3347336585087931,0.2655239595188165,0.33583424913329657,0.3598666473747044,0.37150636390215536,0.5367057547911288,0.9709147648085871,0.7720716124199006,0.37073667015523837,0.3120412212663582,0.3472786666634316,0.29473207717923144,0.338336439518928,0.39099652715692346,0.3006792494542458,0.3052669527593621,0.31795878759369295,0.48800692398217915,0.649611679078601,0.6483357641852455,0.9806923272957386,1.0721074575435992,1.100413381698877,0.7463504148182075,0.7267586393468843,0.5209963105669546,0.4559480335845668,0.3203322435800439,0.3228107466708971,0.34489053267461794,0.5144069772022565,0.33429894658769127,0.37424893594556835,0.7722966621651216,0.37547089858557997,0.4177594585148942,0.3964787257172379,0.40076023804571187,0.4532595063158611,0.45418399148974287,0.6419679607012563,1.320252206563505,0.7671954706870346,0.9638214462159602,0.6599712105099936,0.9161505889010995,0.8218317341134875,0.557105498979269,0.592880946214749,0.7259046358926118,0.3849093162052813,0.3687237632501729,0.3627651837417963,0.42507371727267873,0.5828157688864277,0.4663436745145449,0.5106442023349249,0.7147183280723641,0.8658295173823262,0.8844822957817671,0.7867843010173645,1.0136804219854436,1.0137926668947406,0.8896973255462928,1.0076462243453128,1.201862399396577,1.156867436573514,1.0743975051536006,0.877210039972469,1.178239491234811,0.6443670581771118,0.6781771918997421,0.8033119773040381,0.7184306214172793,1.4565046163606619,1.0236333914221862,1.5301764783199256,1.0403227825335795,0.8863109297775308,0.861369914397064,0.8358582977317043,0.6613966592883129,0.5870641101437889,0.7103604425904231,0.5973701114414447,0.6943477730723381,0.4945394720183564,0.9892817818111146,0.6437270349997687,0.6552892794740708,0.7420056542813507,0.4052085949157041,0.4803260324469387,0.5418584954476048,0.7105698523204727,0.9164445143205483,1.021494904411522,1.1771716520893867,0.8958273265954244,0.960868827767047,1.2224269345793062,1.108965315140339,1.0521842583388712,1.2619619548289776,1.38644938284533,1.2241344435186934,1.2069282345154777,1.344322258320866,1.4813498455855845,1.2096553334344302,1.1929229692400452,1.0649059385848365,1.0229067440474138,0.9604504273416938,0.9070930285544563,0.8754021054241404,0.8042268902674994,0.6828975866204269,0.6673035266878088,0.7047631814867374,0.5849130901506422,0.5762093342232345,0.764908515200339,0.702620978666209,0.6101066977375674,0.6813307977872868,0.8014370146872332,0.8082376182295887,0.9086668039728106,1.1797219930278144,1.5411357555494976,0.7324668484187947,0.670297885037274,0.5700115511068328,0.5345464721856551,0.7973242940154739,0.7420427608582568,0.9623125843945698,1.446022205154383,0.8321379738735377,0.5976829441054824,0.3520532536894806,0.3453050324965089,0.787527560289081,0.3407717139163934,0.38889720865292343,0.9658014461535634,0.3909390675459518,0.480125085790304,0.35507097208500255,0.22546357793491928,0.48718625387037956,0.4306445384377051,0.4749165179931808,0.5252222898960763,1.2761466084339734,1.511625243826343],[1.53478246750961,1.5092449955648437,0.49377149473959475,0.46973442252905506,0.3885809008403902,0.2949154374145262,0.2694470010225108,0.27243843290191205,0.3270206518984168,0.3083326502079962,0.3387060186248241,0.44002007260637616,0.354043124646491,0.3143204368006764,0.3503855539875004,0.3423515720045179,0.37378716185618877,0.35716553464250994,0.40877483484803057,0.3937503216298426,0.4234881769612218,0.5814363518478212,0.6056354831590894,0.6618093056464242,0.5583673081545985,0.5176989539556816,0.40251099117479644,0.3644562537673218,0.35683104387982173,0.35291530584310066,0.37239110203857007,0.41103973366707935,0.4477848828592896,0.40449341980831083,0.3702100891597624,0.3700962956857223,0.3907438985115019,0.3598215662792049,0.3543788255542958,0.4803705846561676,0.7237778879143563,0.44552300927110805,0.45550775013636285,0.5765123835799901,1.0150440450685738,1.6599934427448844,1.6161848897134095,0.7938445179091311,1.1643923920548904,1.416390163321702,1.077420406688712,2.1317683197268082,1.287983116348634,1.2140552448713409,1.6346798285081234,0.7856347426680682,1.442434934041607,1.0563020041110163,1.2566502863141857,1.2391696206293545,0.7819819828398432,0.6061543280032846,0.4767303064616138,0.5509488100897104,0.4880321782988386,0.495088733299092,0.5932987505618988,0.4218602884824247,0.5614767144844676,0.5100687736867414,0.7865446345636533,0.9752435574362276,0.7097917077283896,0.7532476607011076,0.5026238830736058,0.8513805649420184,0.4440680838910803,0.40904383872492406,0.4143339618858906,0.48634860145217546,0.39644222240334115,0.6055995854399951,0.7867966341139754,0.449396959096448,0.5984595001271767,0.40957778433048186,0.3927934281764581,0.48785880375616486,0.3875091986524628,0.4726167767959611,0.3975813864194082,0.5808580781867401,0.46293523192176206,0.3780719558174738,0.3768522121630091,0.4584668540765089,0.5092052946794777,0.41221027866908794,0.3913376515316928,0.4905350138343277,0.39050694416953335,0.5902033593261033,0.37426723770023357,0.4181500417178557,0.5439057152439802,0.46614708992348075,0.5687423575049494,0.555854021899673,0.5129276511125848,0.6170627882005079,0.45073484556300947,0.3513118347342536,0.2979616723111407,0.33544349242551025,0.31623911530006077,0.3256029106851565,0.35073663841354996,0.9358933418184964,0.41905249323219734,0.40619678613774635,0.3807462187467067,0.35961808119132854,0.37240836792073745,0.30563647793419985,0.301063385439588,0.33501247070564993,0.3785091169327805,0.39593255363139285,0.40218430344263206,0.48885025835858786,0.5077614932563003,0.4291916031969622,0.6024308915582703,0.5485391291451533,0.6757211556128706,0.8556356506335225,0.8605878693181184,0.8172919105899137,0.7548830603571324,0.5666810849647425,0.687441820334946,0.6457255168680698,0.44234863756257065,0.3845132108223661,0.3811238358429077,0.37957750893359227,0.35135353747566817,0.38701496680393227,0.3233365830541486,0.3628069250296908,0.38654663726472704,0.3709560621982455,0.5699563233518206,1.000878878426135,0.7628084331523108,0.40225985617786586,0.34606139934636343,0.364030703695424,0.3244702960612752,0.38376163835834176,0.46557346858957177,0.3767819583060255,0.40568852743299805,0.43258982667132057,0.627078747140528,0.7672885213475685,0.8654907360660962,1.2473050398009062,1.341073397307543,1.3117436573800394,0.9413462920539711,0.8856492575259748,0.6673888435648828,0.5848492563700383,0.4425636091083922,0.40834440205046035,0.38125545935224725,0.5311052876817849,0.42155386050525834,0.45045808799007314,0.8984139051205619,0.4926835784218685,0.5363864019800073,0.532298411373021,0.5347533391122677,0.5671528823929668,0.5698008388657031,0.7701483373933284,1.4571600128307576,0.9356690793528287,1.120095274802749,0.8179974715608552,1.0670045336670548,0.9896441070926374,0.7472807141152449,0.8032806031148438,0.8673230132183499,0.5593070739728094,0.5314390205580412,0.4399831733165837,0.5874762082738457,0.711435401453457,0.5928377872834796,0.6934196786564861,0.9060130314930029,1.0634908091981647,1.0847918185574177,1.0098850513166966,1.2552756152729356,1.3078593608471625,1.1563922553359836,1.2822551203730932,1.5117459223268193,1.4080812189510004,1.3336434974489269,1.1262412154371035,1.3662657277995776,0.8149361962520106,0.883283916453321,1.0280596354371974,0.9318921291572202,1.3686622055515647,1.2385126849416859,1.6875560203120887,1.2009234013585997,1.0309318440105342,0.9699580365779336,0.9179430960944619,0.8308098903197261,0.7606455530498657,0.8394113472848271,0.7536690603723559,0.8540295159621051,0.6877459231297796,0.9845372484388655,0.8751341580555496,0.8376457065715531,0.8589690561443879,0.5786500715645952,0.635965962767192,0.657647407740501,0.824906106456195,0.9637776315914552,1.079351782393733,1.1797146187831802,0.9754061323129376,1.0764472690655873,1.2494622749087392,1.1807517273079218,1.2056679245591007,1.409870492704337,1.5419152829230962,1.4411509256168233,1.41518622011639,1.5528767970871395,1.731141892082271,1.4628634726622372,1.4288710127500484,1.3066876984103122,1.2349867128059022,1.150688648871627,1.0867913684794246,1.0849514830774043,1.028856188519969,0.8880863382269651,0.8665834662753528,0.8901954679714779,0.7657883858347861,0.769221735854271,0.9142313628601836,0.8239483444976999,0.7877899226730414,0.8043207835931566,0.9152347406950252,0.9147363823318924,0.9992833160239158,1.1805346636478804,1.512453399579627,0.8099469259800859,0.7367718900192248,0.7358569319239557,0.8063689993121553,0.7968964832514893,0.7892841263434357,1.086318016501112,1.5978010257953263,0.8807781875382509,0.5419653640401523,0.4925411849425962,0.4096553965079001,0.9156980075698514,0.3837778004970425,0.4504799376504178,0.909103251493238,0.34089479784179455,0.5287528860679855,0.3922592167425719,0.295551377827783,0.4710129168039045,0.5563014721222389,0.466412516326547,0.6077862422054278,0.9106095523540146,1.1042625284111647],[1.5589596777306736,1.4108839986253654,0.6755191984808636,0.47722652463629334,0.5740212211058784,0.29116424118845097,0.24563086658384584,0.2830614252853783,0.4224738033612229,0.5045393618781548,0.5352660208684117,0.5539056430806563,0.5289179617335269,0.5841845641777488,0.6288042313897435,0.581389190765809,0.5843429678368103,0.606133092636186,0.615102001915123,0.6191186329569036,0.6290492627425857,0.7420962681673323,0.7838331023962066,0.8237616890690083,0.7289454316903511,0.6592264823074129,0.5936860982491756,0.5502584355379355,0.5500267188523621,0.5144406504965269,0.6196814541463157,0.5053194134596751,0.5812285017543027,0.5777269090711845,0.5214458776698657,0.5378097737231647,0.5006500135389178,0.5670636783069994,0.5300462651511516,0.6172605076548954,0.834111851056041,0.6637215013256315,0.7037630628403188,0.8763192897312807,1.3629957400157922,2.0335143533220057,2.0897974951213354,1.2115707311015222,1.5038321475223142,1.8756188980339101,1.5348651321820426,2.6168268354874584,1.6558510930131367,1.546739823628847,1.6337452192496034,0.9855248277645707,1.5530453071098291,1.2060833536805993,1.2007202987427221,1.4729625478344932,1.0707107514262377,0.8494453440887698,0.6926742751211906,0.7206350101792861,0.7065450711902015,0.6571956627841261,0.7950897126264076,0.6544018916386943,0.7729072363716671,0.7113941029457145,0.9201055376658028,1.1301116756580536,0.855357313385568,0.9298713760005555,0.7008969157002977,1.03530586748946,0.639477045103824,0.6011942970656938,0.5968988585078782,0.5966339710880145,0.4885886260467396,0.8103796824074292,0.7136539058697557,0.5252635072564371,0.684630674879415,0.5057098946627958,0.537164316396463,0.5741259067896723,0.5494406922817904,0.6013459014597904,0.6004123998291606,0.7610815634816163,0.7246828177724043,0.6212656192311071,0.6031657850999947,0.6978711207524542,0.7341489715452741,0.5816272150645626,0.5098357871252683,0.5286424916166538,0.4772132270591367,0.5428172143864117,0.41659885795487095,0.36184701617526915,0.5350240846396662,0.3980379222854785,0.4409058645444769,0.46316682977732115,0.3897543040120227,0.45811363191735194,0.3199092062986551,0.30591744667458126,0.3019601216971727,0.3647875496223727,0.48810204518040823,0.5062862376026012,0.5670729852089095,0.9865302753770838,0.669930423643893,0.6348182915541398,0.6763908604079754,0.6603539602414138,0.617766849007893,0.5204033189515451,0.425339588497283,0.3635428855805411,0.330689202237365,0.33772212701183413,0.31196635806058864,0.3899865928034745,0.43248961509423045,0.43130971069105445,0.5084162660388664,0.4393729823727856,0.5584284514449886,0.7584504909317467,0.669332535523265,0.6715316118499103,0.6660101831918117,0.7031831627518222,0.7870937905162522,0.8051338104105231,0.5607550749253857,0.5232331039313911,0.511386426890668,0.5415114604502983,0.5128531768774595,0.454421866880107,0.35895683021971836,0.380531565040193,0.33959469431250794,0.37238979052412396,0.5618818432535868,0.9675985572030005,0.831029971241111,0.4039501468242737,0.3954862548707085,0.3524233142030452,0.4139264120721366,0.3392990349566874,0.5052716476185362,0.48336715431919813,0.5052551484021528,0.5227215526353294,0.6860490829262003,0.7606847688303832,0.8599523511384588,1.2864917592969793,1.2645910876915472,1.243635346293921,0.8487022571415481,0.8480125874090578,0.663863940502484,0.5981727547349233,0.49647957474936083,0.41032503327890796,0.48123338421467193,0.49007956106451234,0.5091402193097911,0.47145624455123375,0.924559234446227,0.4418185793824604,0.49407845594078176,0.5177858863534626,0.5392597586075933,0.6213947903067907,0.681025187062403,0.8313887504275796,1.5580500733858627,1.0337317642845056,1.200902223507854,0.851462889515696,1.0611988991406545,0.9384042925954976,0.6802718248324988,0.8328682230764671,0.7049052753031341,0.6346651947073816,0.6704588519784299,0.5870270014827796,0.529177164726666,0.5095642422292123,0.4723099419027863,0.546203594299537,0.6088680609199684,0.774355268478417,0.8021157997988398,0.7384899822168275,0.8996223742992709,1.0536539252434092,0.9356596732437764,1.0069716221797715,1.2604660754696821,1.2249608887560672,1.1720193121377207,0.9610714533613985,1.0989051159979446,0.7188219956077186,0.7031447044946552,0.7698936101534329,0.6883475033191141,1.228006764429058,0.9420798521265661,1.3715169021873599,0.9499138055056333,0.7504619564801676,0.7879360387424191,0.8324289084677953,0.7473088419187298,0.7225608795548917,0.7517509336305654,0.7831864390370582,0.8336499233199725,0.7397445968725271,1.2556253657143472,1.142169979637999,0.9833995253522966,1.1377492409940069,0.7208293616159236,0.5643043213122847,0.5997041775101928,0.6272796013784013,0.7688320864117206,0.8438321142089151,1.013706010715076,0.7676469923455497,0.7592176669774441,0.9684169033800164,0.9406002031320589,0.8437424554827551,1.0287996428475248,1.1868225685315161,1.0775505019634606,1.0252712783388,1.1801770125611968,1.41635427688101,1.1159696863367516,1.042096516014613,0.9183894757422936,0.8370773168028108,0.7759257255476828,0.7149322047007569,0.7390240665883975,0.7061044469695471,0.6191207724722035,0.6720214139776921,0.7075635608725569,0.6865268120708888,0.7895849236423801,0.9168495339997337,0.8311151425746193,0.9419653491532222,0.9782972051056655,1.1693421080988573,1.120708161011961,1.1267193479121604,1.589822837342116,1.7308148259913358,0.9035918059297855,0.7375348675377605,0.65373605783317,0.813881901507212,0.8501100211438176,0.7701570263147505,1.189704005437444,1.799723872036778,1.371712382255456,0.7651074356552064,0.5788354140324484,0.4744296700372994,0.8747038220865417,0.5174072536259565,0.610006662788981,0.6897792579184938,0.46608098009876997,0.7057484799118569,0.4455853860698505,0.27932878561357344,0.46713209064470046,0.5640542858295104,0.4573682865262417,0.5893066650233089,1.053110688458186,1.246712988142707],[1.9406795440881492,1.8200384661914484,0.565440613287972,0.4304761195917263,0.4435605176556953,0.3599857023089713,0.28972416095165204,0.3037439090123553,0.3308243217690719,0.300096431060407,0.32091695196931846,0.39117774447234194,0.3400513292908043,0.33835556979563836,0.3953364556858857,0.35867652836531555,0.4238681281266809,0.42713332912892116,0.48895763735594355,0.48820175969865787,0.5327727911132266,0.7087445573312198,0.7251885794554719,0.7902358761178349,0.6519637355502906,0.5887596845579486,0.48185544370427724,0.4335790109255275,0.4224894783197618,0.3739087502559938,0.4103987632479827,0.3864930608526685,0.4277452261879075,0.40313578591726734,0.3645779153880953,0.3901232129958767,0.3813763806381914,0.4662804494553285,0.4041739971296707,0.5014532302842013,0.7044316851292891,0.5414481455050415,0.5581596315414983,0.7538880394797861,1.2695469327574345,1.968515395675235,2.0401586322948124,1.1009135195157853,1.4171455901602097,1.8186493397098913,1.4441012525461596,2.4846588605556756,1.50268239865451,1.4013934772008514,1.6522561998599943,0.87282941798029,1.4504626361745592,1.1323484195067661,1.1986456055518608,1.3987702805940858,0.9179810356193707,0.6687895697815751,0.5085274499486969,0.6251589345172972,0.592430027546261,0.5292165819996142,0.6968114331359803,0.523517767389659,0.6449903786904138,0.5756574717225661,0.8300089751397561,1.0312093518239043,0.7407043216155161,0.861750129668804,0.5277105457393734,0.8885014758320575,0.48798144992234876,0.4150997314311361,0.4297048940122078,0.5214175999137334,0.4154213465027787,0.6682778968715507,0.7191181307649788,0.44987691239336863,0.5894082492795681,0.4067745076868153,0.42794947470296946,0.47183273499212597,0.41144515965694545,0.46602560727521275,0.4302084730807684,0.5895092961756793,0.5327382083361639,0.41454104104981615,0.40462065668229996,0.5054302382898548,0.5337937076516565,0.41359969428332954,0.355368480058076,0.45765589889808017,0.3615011141924627,0.5588475783802097,0.3362972513219144,0.4046970853930397,0.5360897556370003,0.44552096276637193,0.5014704288357067,0.5029905000648407,0.4293170170572719,0.4997263398082732,0.3867123486649751,0.32095993447909044,0.2975885151054271,0.3351436209304199,0.3318359367351662,0.37761285050213084,0.4439201195972068,0.8704364330238973,0.5421688698363152,0.4600396703870147,0.4783386352840455,0.4569565800965282,0.4613543483324617,0.3642570344687476,0.30536391701461957,0.3292258179736174,0.3480026246188729,0.34738761921513334,0.3538076094883868,0.4480939549080696,0.4387466996332913,0.4165509206108929,0.5648356780443338,0.4823027053687353,0.6149228960762597,0.8163775988945016,0.8398962191416735,0.7239699308403038,0.6224055360638757,0.6197781804035837,0.740251520944921,0.7502555837605206,0.47446814125231673,0.4304115627306406,0.4290263850382869,0.4097021283354617,0.38651188708893397,0.3751478946723503,0.2999148304118313,0.3498203596166778,0.36071185174648834,0.3794456978659341,0.5473904466738325,0.9982902616607757,0.7665204469676922,0.3858756721190194,0.3228220349237546,0.352277627179618,0.32195441973685135,0.3259793291822954,0.4589599395953956,0.38221895527458527,0.41032351180619325,0.4261965877439386,0.6519276901034272,0.746424832496085,0.9175685052394346,1.391474446876911,1.4205253415813242,1.3489785692131637,0.9322619673878376,0.8629995671330375,0.6471402647271285,0.545907426491388,0.40131271714624916,0.3663553977748692,0.3858962890074481,0.4880207435246816,0.4103653204471956,0.4287885574241425,0.8763050747373968,0.4414159577687784,0.5037191449558577,0.5269295305280858,0.5250601685314376,0.5770073643715,0.6170450083538197,0.789227623095716,1.5182249196705395,1.037408710537334,1.2420848779543754,0.866279214842166,1.1517331973142015,1.0400434046989793,0.7700256638928955,0.8713766398000423,0.7400783934079213,0.5362404475859297,0.545295229960899,0.4577493961584276,0.5410783862986067,0.6070021239398528,0.5287444863826845,0.6278985243802235,0.8048266265255093,0.9798680898788348,1.0290954442259943,0.982224383013933,1.1814969427483057,1.3208492246722356,1.2182884643849468,1.31623596039575,1.5561940516751454,1.502035692168361,1.4773886336673139,1.2692089116584024,1.4164995669749818,0.8814681617131788,0.915156100766644,1.0385697048620768,0.949089932687934,1.2653033963978229,1.2098111517297243,1.5926296836512963,1.1306852136505128,0.9075534284083598,0.8750332669144271,0.8377164057621113,0.8226873985717741,0.7517467764833788,0.7801562456574127,0.799531405184137,0.8673544704130489,0.6983326575716661,1.0493130853779762,1.0605189215593478,0.8962604327409855,0.9790883701825687,0.6084590729646261,0.5470088078291404,0.5661741829313244,0.7220723943194196,0.826458555974359,0.9412383714888601,1.0565405615806234,0.8656139210152713,0.9285193259973978,1.093160450862372,1.0666581165927824,1.0602024106917969,1.2684407965556566,1.415340151968668,1.3368478767375098,1.3080931903484716,1.460636792306497,1.6885864988572548,1.4266649759844583,1.3753381626668413,1.2432853442709482,1.1317207813030596,1.0276446742252552,0.9418628390342327,1.0069667647690803,0.9657508217838894,0.800243147119296,0.8287658337865738,0.876294757249593,0.7515262346444311,0.7874483770573789,0.9669531380259866,0.8429323308978522,0.8647669668490882,0.89523867490732,1.041744063683793,0.9915391265322095,1.0499353067483999,1.3471456552720018,1.4827925450022508,0.8999517737612641,0.8040646885625439,0.8176171008185386,1.1014527899985151,0.915949210103876,0.6963091383595792,1.0767733958318244,1.608381154994771,1.0568785496821997,0.585257718970889,0.4729227236181759,0.45603248714072314,0.9124400279679631,0.5145157932144194,0.616812713453499,0.8068817512885351,0.45365847701431083,0.7078405939721667,0.49059303398846527,0.33600402951556646,0.5405235776482229,0.6374473336583812,0.5164690122222689,0.6255720670461217,0.8976074760375551,1.1356650302835776],[2.061612229663868,1.8368671956739515,0.5800729409874231,0.3825218974008763,0.5006898006970072,0.38388183583904917,0.297483054691695,0.3222412016083795,0.3466525387131715,0.28385886493540985,0.31498882982829524,0.38349551972823426,0.31954296577141483,0.31903138302431044,0.387922059545011,0.33366942567866165,0.3818194190743449,0.38114619650049525,0.44753286845368695,0.46546807892134257,0.5158277791138681,0.7085163085975511,0.7535529427089734,0.81438980704148,0.6705966899142902,0.5831814622445386,0.48277453106171775,0.40836558450052474,0.3853958226196591,0.3385506647392945,0.3837374173219224,0.35511298880162867,0.40853121196088515,0.38070945319690735,0.3322524545818915,0.35589005270597923,0.3475465094357401,0.4525105587337602,0.3971817206604536,0.4974092366277743,0.6776112964284947,0.55405552827856,0.5785126219004852,0.8217648365158321,1.3643429880035571,2.0626246934749983,2.2066024958621835,1.2404333401604408,1.5110385372788182,1.9846568641804323,1.6151389075026779,2.5927430905763846,1.5938586706614868,1.477659940855499,1.668411956733817,0.9264183830215769,1.4556212940985715,1.17219325778142,1.1641235399472563,1.46804324642806,0.9386480371472883,0.655845532705313,0.4859043761480839,0.6204036548258373,0.5828994527650618,0.4931219567197149,0.6552542944674338,0.49038733471397045,0.6313424141201633,0.5336287651842644,0.7970769795104355,1.0386004169195469,0.7171208187482503,0.8672366965451881,0.5072466466277347,0.9161055656301368,0.4689749069281019,0.41440723730745743,0.41659752339161354,0.4934512385088394,0.38022366961955706,0.6973987304607913,0.6624165913790268,0.47747870885546534,0.5975903925251056,0.3855691709655975,0.413590728318765,0.46168799001795074,0.37431838379272353,0.45332632407998846,0.4077911685726887,0.5966608824163291,0.5200623119093043,0.4048583917973921,0.3911647850866769,0.5131366178824988,0.5464671940860881,0.41058024924216974,0.35800712717656963,0.46707672936810546,0.3531034893485586,0.542187636919952,0.3305402124370409,0.40802233588833675,0.5132486538448612,0.44681840629068126,0.5051700846034684,0.4978578205390083,0.42571953135597546,0.457590912055708,0.367180781057831,0.32914462367704983,0.2958673531911254,0.3238113867254003,0.3011878021970293,0.353451155736099,0.4108268253345806,0.8032783849388311,0.5382486973260506,0.4465903227636946,0.46235789489171025,0.4308843516809822,0.44183905321537703,0.3111111534275797,0.26100678819677225,0.3611468860565314,0.35473718206849014,0.35299468915025306,0.36458753994920773,0.4247456993270794,0.4573338991956822,0.44843274377186265,0.5480289192143477,0.45234327262705,0.585193996399652,0.7571796964824528,0.8097023261684387,0.6873228406941888,0.607321458945347,0.6472536091430143,0.7714733956638473,0.8296509233921884,0.4966961316035539,0.4529590953046833,0.44875066206180586,0.39372737947350855,0.37256079502082323,0.34338430187665175,0.27699462143933345,0.3354907331951501,0.37089940029339447,0.3666434404568119,0.5608355697190552,0.9809133682305756,0.7751204116499895,0.3778232275906101,0.31648405963728976,0.3495833299344354,0.3069467215326152,0.3213500704980296,0.4527284742672078,0.3578072216573564,0.4235843339677726,0.44207970775471905,0.6613210987671077,0.777560057568975,0.9387841585410196,1.4460690159743586,1.4398570241224933,1.3330826207989335,0.9178303931074459,0.8302070554831409,0.6224159093371333,0.5303425155410134,0.39710393711535874,0.34482478872678274,0.3913940690877688,0.459319911675857,0.41857830556889036,0.40523824849238893,0.8647628945909952,0.421662041743133,0.5029883956851917,0.5576931640130234,0.547210383163123,0.5953568476396908,0.6095962569264286,0.8305476787429342,1.534280938534835,1.0839672695824742,1.2921387627505085,0.8913718557053919,1.1626311183265705,1.0669715991089428,0.8352471638272274,0.9871295653360519,0.750242569288396,0.5937552936621985,0.6023549869093647,0.5077491167180619,0.5383180001663053,0.5370790805211734,0.47791283684996233,0.5806778265809293,0.7253353674967027,0.8896736647952102,0.9270882960326035,0.9066645165355358,1.1102457345794499,1.2775230777620201,1.2029890989013516,1.302971849460182,1.5575062189855955,1.533670448316994,1.5264881586661943,1.3020653492980452,1.4108624470652285,0.881422725160447,0.8913062581885692,1.011836926052757,0.9262501864223218,1.2871495626270448,1.1764361242624468,1.5178602555126233,1.0961770170588783,0.855018981399777,0.8032112726787203,0.8091147163418548,0.8292702413984389,0.7478635973315426,0.7644056108662954,0.9070710934775331,0.9426410569132457,0.7790659790124767,1.136370262583759,1.2375529267399332,1.0082377669336409,1.1337054373623248,0.6939611354716546,0.5292377333032829,0.5593046716393755,0.657862460064847,0.7424709631763687,0.8461736918095832,0.9645892063185629,0.780510400880914,0.8293429380768411,0.9797818765395259,0.9796621972808016,0.9488787478219695,1.1647441388697546,1.3199055096902137,1.2568222669279838,1.2303303386710664,1.399643968330174,1.6555570407200597,1.3920688932845753,1.3374138514208513,1.191387942041956,1.0547831512033248,0.9313074132968068,0.863940253170226,0.9393620917300435,0.8956538072784093,0.7420307183533912,0.801809798322897,0.8497582336865285,0.734822348794982,0.8279613260752334,1.0305716877003814,0.8767830245233249,0.9401134677028872,1.006348863223658,1.1829054969975699,1.0876551549104079,1.142426794144123,1.4876393780714683,1.5218424928205376,0.9289544725111244,0.8404272921788147,0.8108815218230525,1.184761873487431,1.0061441320751483,0.7244979769857788,1.1380202582208503,1.6749530280609861,1.2116585223928062,0.6418682265512066,0.5091802192500532,0.4788103476284756,0.8276454932253673,0.5739423287876161,0.6884840739318806,0.7449208481269639,0.4909132840216387,0.7457364030440831,0.5218874570850935,0.3893921066780911,0.5360356129138968,0.6295484976226953,0.5485038522618788,0.6511671274748695,0.8602388229395899,1.1197465439549903],[2.1810740272194185,1.9344675223684122,0.6044648749055266,0.466138410591822,0.567185870177936,0.4624489217686287,0.41414561001097855,0.4305026446171801,0.4183395764181474,0.36617521763381294,0.37807836927652827,0.4475962149866999,0.36930335765249317,0.34101703042720527,0.39246738498663813,0.36615537572097945,0.45277117383577975,0.44383316407315193,0.5157538535344947,0.5091638564272754,0.5656078391025408,0.7446474043568772,0.813037091428925,0.8911068384521791,0.7037112034751642,0.632642570143808,0.5419572487220154,0.4666196302728403,0.4331572456545608,0.40463148791392956,0.45880094046167996,0.43909500649183864,0.5097513252183633,0.4624641103235137,0.3974900828606504,0.41915339432030746,0.40485909202618026,0.5045696352497234,0.44887781048171244,0.5172955938112165,0.6722093228432737,0.5848021155980391,0.5976885548722801,0.8726708416002937,1.4616921925805768,2.179469260991651,2.3432467453843664,1.2920960239461192,1.5491663367253687,2.0372250894857675,1.5977319051391918,2.6394774242928234,1.6109442051168252,1.4744735371414297,1.6652910101672893,0.9055624559481891,1.4670516663204318,1.1519940255832215,1.165922280169667,1.4822343320014406,0.9536367199258867,0.668627153465241,0.5556328893072908,0.6872929076164942,0.5916254485988957,0.5455329216859128,0.6952893255380591,0.5396514473094328,0.7067522448911849,0.5752189550517367,0.7967194205032214,1.0679884085039435,0.7600807347169194,0.9527690422582806,0.5515985517187715,1.0001603409308215,0.5098359460538366,0.48894105831606355,0.4836040267125161,0.5520097793365798,0.4497361025974063,0.7219147180705369,0.7309026711710361,0.49710998823465363,0.6263353701854918,0.43595428960523547,0.4842305729495454,0.5121535414949306,0.4499799892183005,0.5546014970608848,0.49116403703381833,0.7002927778334748,0.6041318742536537,0.4705033799209449,0.4550186289060041,0.5536803560095528,0.5580334350664041,0.46122542356633217,0.4291314484333457,0.5524885082694524,0.43757643175672983,0.6359936607554199,0.42008784605146077,0.5047156898438532,0.5710186448265249,0.526822442489372,0.5772300673930945,0.5455414116060208,0.5065638361612356,0.548421526610519,0.4702123093914441,0.43043070879968903,0.4063493784012665,0.4121122819852393,0.39500825123806493,0.41570767355867716,0.4621390481785265,0.7631062092938533,0.6054939140429663,0.5184980144689687,0.5276433716514138,0.4766414737793636,0.4778676999161075,0.38753654425343065,0.37693089883502684,0.41740369464083477,0.43334826690538913,0.4029296241002436,0.428637734489845,0.4787225148124606,0.48719186842744705,0.4766633800109637,0.5533634545196512,0.46788374732458493,0.5777745469637382,0.7459846589010849,0.807326992160173,0.6661689700754362,0.6095063310016394,0.6974590384155779,0.856042066007284,0.8928210304999843,0.5590827107267982,0.5110073262138142,0.4988085930943546,0.4603419717633,0.4363377108790001,0.4080086708493442,0.3723862993061162,0.4499518062315448,0.477453382455339,0.487949226793699,0.6549369760797806,1.123478352283728,0.8726178362358015,0.5086606302766058,0.428956903715828,0.45727149681249485,0.4064778650467625,0.4264501034642811,0.5005777669887741,0.4221092513084322,0.4659387703562691,0.47403192424364315,0.6572247246018662,0.7974917875904117,0.931466402824855,1.4583345746462562,1.4366686981569237,1.3212593707641063,0.906903952824376,0.8208533688183248,0.6132813640966143,0.5306918851195053,0.4174370135168717,0.39673251142991206,0.4476613694055048,0.554884694817261,0.4587809232091922,0.44492501920985295,0.8845799753515995,0.4573314309957571,0.513858452435961,0.5556486558216591,0.5323680944810844,0.5876576690780791,0.6097796490298244,0.8226421464841104,1.5622144329396082,1.085698638530683,1.3070162629414137,0.8846794576188083,1.1580918836816232,1.0561175526127977,0.8335443117081683,0.997121598053276,0.7612691000615903,0.6076384724956312,0.6215920706264014,0.5477116335788177,0.6315326584626346,0.6632577244369439,0.577469433517764,0.6811128198601157,0.8764090834357785,1.0290560008746124,1.0282185668028545,1.0613052298521615,1.3078574769943876,1.4266009887093583,1.3729344277498914,1.522591315111877,1.7701843733626543,1.6968412943816087,1.7494979049341721,1.4810814481717491,1.6792774859657158,1.0726204618757365,1.0832518384864307,1.2407520374692038,1.1513172115414718,1.421083791732199,1.405622152691296,1.6835790717191315,1.2172501538848561,1.0073252545215947,0.9487215063924516,0.9010832634860503,0.9238954215886443,0.8340128931978082,0.8578048753421561,0.9687450548875736,0.9969278080477382,0.8326044944158087,1.1116902220202511,1.263072254235314,1.0166563186101174,1.11331777470545,0.7113569188274923,0.5773648408900214,0.6182401264714298,0.7901385246579348,0.8649677594171135,0.9921198894590937,1.086701576130591,0.9151341557159315,1.0247977143377822,1.1775845933197684,1.1448319313072304,1.1442518228726284,1.3921202751537305,1.5446573095473033,1.4677974638306268,1.472871236224081,1.6677515036492674,1.9028760649789527,1.6479322914535135,1.6185883186921568,1.4446423366187577,1.300944492554906,1.1364364026624754,1.0604837922874988,1.1750000789571047,1.0954413702503818,0.9131168502645581,0.973601733525193,1.0193236520648317,0.8467372790165336,0.9302394800976245,1.1550510103792435,0.9653124980734102,0.9693167157333971,1.0598562263518427,1.2371975408470812,1.1288977384831755,1.2315352025500814,1.4481622233960645,1.4374237453496803,1.1007421552843817,0.9501446444709346,0.9578377258415478,1.2995803572956433,1.0165732639003875,0.8054025541163126,1.1666142585712744,1.6449150369359786,1.149886831394021,0.666081241258503,0.550373164555564,0.5530520681164317,0.8571228248270566,0.63493424612564,0.7426609072797709,0.8733852475226025,0.5461173257518773,0.7696815206830527,0.5471916290382447,0.41848323703879303,0.7072153688698679,0.6451286446557453,0.5534082012452345,0.6529872200906499,0.7590245095861547,1.2057290461961805],[2.0221160517945473,1.7192576532950716,0.6843915166230087,0.5646940533233266,0.6915678997898334,0.6066910901965805,0.5171431294563887,0.5384393747929177,0.4641452989682493,0.37801997800317433,0.38452858015025027,0.46280903668519774,0.4178329076369238,0.34078223985445705,0.39678294067411257,0.3954348712698132,0.44245444445084087,0.4349137307629448,0.5137492257527009,0.5217952441271683,0.5741077944355781,0.7835360250662121,0.8026771088548706,0.8724414395683942,0.7321513902709307,0.6432255786675575,0.5598011501149885,0.49065139102542776,0.4629390718082104,0.45459089177587086,0.42237632238466244,0.4975844928616003,0.5257162646306803,0.4608405677033646,0.45518727424165356,0.43905778203557627,0.48374965774271156,0.5491240851490723,0.4899904493939979,0.5788939310065037,0.7480592928425609,0.6389405453882931,0.6562850961533322,0.8631355043900016,1.3893832592099369,2.0781277074680453,2.273018173690641,1.3194462824705706,1.5740583850712127,2.095701299532951,1.7633635545230015,2.572806325592304,1.6122512910495457,1.5250845528203485,1.8038017922587195,0.9796202450122611,1.41305097365053,1.273521668633356,1.2679484011915942,1.4604800435479972,0.9590313122074455,0.7048304025778036,0.536162743403227,0.6516083683947969,0.6359421941282081,0.5752462142414371,0.7076660108650101,0.52626956257723,0.6554783275161654,0.5404345685129699,0.7878156640228824,1.036288782826899,0.7216297889247173,0.9041227080223793,0.5198285170595461,0.9196790496437561,0.4898902524716128,0.44666088603159854,0.47499171442465826,0.5556223765438709,0.5067056985322135,0.7894035557689079,0.6975201150481566,0.6177807826745834,0.6549755728694185,0.5163130967669286,0.5361451118404027,0.548597437861692,0.4526989117471234,0.5286716529445846,0.4585594503179113,0.6161420245307772,0.5330061533702625,0.4440826848967457,0.4428212751491779,0.5298754485852192,0.5564431747365949,0.4796379448549544,0.4652370246505307,0.5964817753017975,0.4974283717376822,0.7169343937492769,0.5225189969807021,0.6498392444626799,0.6534284806674802,0.6583723501524857,0.7169479046567053,0.7039723175376187,0.6661360703733734,0.6211674544249957,0.5959374218941752,0.5563453696298876,0.5157737762678086,0.48589717052594245,0.41659241163187893,0.4442026005518213,0.49209838374941184,0.7875182997647402,0.5929885098478718,0.4882482764472328,0.4992812828676732,0.4620606410457592,0.4702221469148183,0.3913076795723021,0.4069814375700957,0.5108995423406166,0.5772771725116267,0.5315936722291015,0.5845280771942186,0.5904932001783229,0.6358926544986482,0.6648635094651542,0.6832969536659127,0.5942431566041835,0.6885749974571195,0.8114167287874186,0.920132805311641,0.7512362319625193,0.6043561897142279,0.6143347853541173,0.727139476307528,0.8685004349300119,0.526209004437165,0.5186718131823693,0.5356908618231089,0.4868462236854283,0.48172212854699525,0.4757210022821789,0.46743933806734167,0.5059197866859036,0.5893024606133689,0.5594667101211684,0.753869821407988,1.014420512561431,0.7946746626682082,0.5827462039595076,0.49444875661627646,0.5642902596927208,0.4860710361235548,0.5225758033196469,0.5514424318326916,0.4716054426457427,0.49161659119715756,0.5217360036766284,0.7301564388409012,0.7809303118701103,1.0129721713694833,1.541472898270242,1.5402302807395478,1.3837899217184833,0.9745434626576329,0.8563363004568149,0.6822445034906043,0.5876227746963452,0.506534346279659,0.5081209670418028,0.54433273971905,0.6152157750658573,0.5617134382343592,0.5550672342621661,0.830296304615035,0.5436321668302219,0.6024570571394943,0.6676540075646539,0.6357370774807577,0.6453964302708602,0.6533127249529702,0.860925367848955,1.5466860339643251,1.1252249849604228,1.334107272853937,0.9524994475209454,1.2439597170106034,1.1607730238202036,0.9242741593029976,1.0505870170906277,0.8312359474452177,0.7668737171221476,0.8006027844892266,0.7309901623537015,0.8166903363221281,0.7871169027924454,0.7272916093069297,0.8319390213296153,0.963617120972102,1.062646778780475,1.0779400698924768,1.1123634891579417,1.2793295114255439,1.4084489618760996,1.3749417083598399,1.4701614144545072,1.6738219483746974,1.6594211020318435,1.6872593076141496,1.4784013891431718,1.5984168272226749,1.1242381718676437,1.1350365652080934,1.2408585844382585,1.16913259674498,1.5335497593356402,1.4462282003105271,1.7565875357142653,1.3340530370039752,1.125934276748793,1.0809329468311872,1.0386067025122203,1.1090698599700841,1.0140342443665327,0.9796097144051669,1.1380989994031327,1.1461368732598458,1.0045955236536637,1.2541108608041736,1.439419381294053,1.164039596592345,1.281853898635156,0.9090011441389836,0.7579673175262305,0.8052408060464339,0.9167469602331824,0.9270168875616224,1.0557322943115537,1.0848290408628982,0.9663862971372907,1.0193117444918822,1.110465096147036,1.1202027614728196,1.1080072547140447,1.285390633630757,1.4032848078248628,1.3746873995590685,1.3757070393527866,1.5197688216232317,1.7513825255728883,1.535616911049043,1.5092419402768857,1.3785280052541717,1.2585448325144424,1.1288761497900337,1.0750861196749788,1.186772961347946,1.1284255874881657,1.003860760975505,1.0699502896936754,1.0982802047397942,0.9840766858330784,1.085968148921992,1.2633983063544079,1.0828890750910984,1.140234777252516,1.2072810065267738,1.352609289893249,1.232421314146445,1.3226306560013226,1.498317410235613,1.4499359686413014,1.1623683934646811,1.0627547075376975,1.0657124211088524,1.4403025921487436,1.2217764351353388,0.9741391644023776,1.2483263095993595,1.6775593170647878,1.315337696070132,0.8429644620904975,0.7217445856694055,0.6924991647245077,0.9420457455402618,0.8560459491844845,0.9782632663346438,0.8275997882280836,0.7261040291702416,0.9785517196730683,0.746319481749495,0.5946487483575269,0.8384385666974624,0.755364644737246,0.6681862782068888,0.7958175144919253,0.8807813871054385,1.1249075260574555],[2.0539364062845866,1.7137226264876755,0.6757808521891183,0.5380091661139772,0.6600073670558193,0.5508115159689622,0.464108612735472,0.47897503176567635,0.4257282202568682,0.3623711004878537,0.36571762508687855,0.4435333084009842,0.40560096569650644,0.35753207636467366,0.40274408315962534,0.38957887171411754,0.4561653767315984,0.4619875032192234,0.5655104721724404,0.5600185541093223,0.6322660408262946,0.8068550129020459,0.867237726295047,0.9647997255795876,0.8032533295469264,0.7062574945062013,0.6104399643959719,0.5259786150351092,0.4715625346686034,0.4452034679479547,0.43883722782801177,0.45917148564013127,0.49631694470210524,0.45755972399862765,0.4203881866592599,0.4383979181609201,0.46022028185794234,0.5576305258228392,0.5261146465263226,0.637371210083899,0.7986460870897385,0.6994785245536681,0.7333224845370684,1.0326979168286472,1.611583721818877,2.3267070735320696,2.5831575703036203,1.5426173208834097,1.7599934389469174,2.3525326790569023,1.979443960702002,2.8079849720403334,1.8001140867924663,1.645520578665086,1.7412933568834281,1.063490909665108,1.5240523502653909,1.2733642567926056,1.205271661435922,1.5972111353028693,1.051407738796023,0.7582307602611565,0.6065302595589662,0.7203646674920954,0.6799131579052381,0.605716810475854,0.7234107652305924,0.5621274268186187,0.7124337028851105,0.5954557698476803,0.8203588059878074,1.119628727104402,0.7890511979556003,0.9702137982644808,0.5779324946848363,1.0081967950594684,0.5398486544767443,0.48912713883370057,0.4901088282265572,0.5671952542803467,0.48953483739476195,0.8175212869414494,0.6435987626482372,0.6206059205568151,0.7178059078390573,0.5096159420118396,0.5380366534685548,0.5512536299268235,0.4615693279280484,0.5327819954146985,0.48142752796803645,0.7011375237581333,0.6083696259542608,0.4665236170521026,0.45624609579387115,0.5562126283024239,0.5723599119553684,0.46314047460270413,0.42135752436375046,0.5390577357123533,0.453464334099093,0.6532295890485466,0.4853742445968643,0.5986818047565095,0.6229294182951846,0.6177862925037457,0.7001679399651333,0.7020088679905767,0.6580136667432627,0.5998581294509949,0.564008389245266,0.5158377333997575,0.4714090526332994,0.4617394582262987,0.41288319374405114,0.4588950890893786,0.5111783593931732,0.8421686652458237,0.6781469785272577,0.5372752070276055,0.5662580333968367,0.5051150119093313,0.5247197902499541,0.41273539300079637,0.39600776063955045,0.501803045961307,0.5430381474977668,0.5171242850252213,0.5677321761474476,0.5808286100123771,0.6496677469307635,0.6801435009297079,0.7191828586113113,0.5972387597911896,0.7115296533532381,0.8351226755762532,0.9162517829392661,0.7508320406489466,0.6312451582497633,0.7198838006539466,0.8392160750922786,0.9639062304577933,0.605692404635302,0.5680783355213952,0.5625055397773014,0.5112343102262579,0.4949478988543152,0.46429662641607444,0.4344987938182758,0.47277523381384645,0.5369996410693272,0.5106549064343068,0.7079192087054722,1.0349280060973367,0.8020170951751987,0.529673786144688,0.4439249811025295,0.5059950352292845,0.44611049565599176,0.4854407282489456,0.5457105794638092,0.47997959489992803,0.5328390014550445,0.5618241723341127,0.7896776888569403,0.8268570178894298,1.0826270719867321,1.642811000767193,1.5855126403532376,1.41764452631115,1.0088506202607923,0.8935140087120095,0.7147881593313485,0.6090661938236769,0.5148327413095831,0.47588963215251023,0.5284020197458021,0.5761625776679473,0.5468995677102367,0.5319874654765422,0.8992542187161137,0.5396583184548454,0.6241701872936866,0.7081149956608289,0.6695966867920012,0.698457523944937,0.7301557196190533,0.9479138284777445,1.655349443355502,1.1908535195179122,1.4125305980902811,1.0326844929228507,1.3084241103880352,1.2136106745385828,1.0107191465930871,1.1469386164855973,0.8760168157870154,0.8246297118594066,0.8595690173561358,0.7525268857666287,0.8636637962782395,0.8076800580163682,0.7355587359856219,0.8751887792591285,1.009853120288733,1.0814989866712603,1.0983457255709312,1.1722910469648684,1.3392416965904723,1.448007903331555,1.4450603452731088,1.567214406728415,1.751031631478509,1.7291821380725017,1.8089985736558036,1.5871628759939755,1.743609269475111,1.282951781518156,1.2634120443295564,1.37998486552706,1.3246983046297514,1.7300019751652305,1.6202118577462568,1.8331075309891014,1.425636547271669,1.2246610152609172,1.1469027125740356,1.1281164631435907,1.2340163189862021,1.1138336810461893,1.0663768012483514,1.263048782862112,1.25908530716863,1.111887651917048,1.3539521828149879,1.6051818622568543,1.2867973314809855,1.3720238934153912,0.9944804776243972,0.8048615603234258,0.8621476904429272,0.9660648351874083,0.9516432840003778,1.0917114882946626,1.0988868605510045,0.9873884748811709,1.0619640932146164,1.1369539004397167,1.1371797119844371,1.1447585718474858,1.3353053890664484,1.4507079531546172,1.4230426030890337,1.4499088307361376,1.6064363503949113,1.8331478409406428,1.636122718842681,1.6291070896909534,1.4832988720051896,1.3554976540706207,1.1969877638458841,1.1599430164308242,1.2990798529173804,1.2186408815746208,1.097741211963321,1.1870276328935248,1.2105982436240694,1.0817498852399774,1.2160672073305192,1.404182078155955,1.188804506081305,1.2558502781545902,1.3638891670365536,1.4952348351301235,1.353766581782962,1.3975487709483556,1.5886337589287332,1.4568117488944596,1.3259837306368099,1.1877735494590593,1.163818088982176,1.5048175646665742,1.3050719818189958,1.0489872378085483,1.2695272078568394,1.624233447269943,1.36869654434293,0.8657676915602482,0.7441141502444617,0.6819320248918698,0.9300489117842242,0.8178014911216116,0.9520789573095542,0.8149753537892394,0.6745162408862145,0.9374660905770131,0.6979211961560997,0.5301724382011831,0.8291041169938493,0.7315085542210562,0.6325230068386946,0.7426958068489106,0.8019307733409782,1.1237379106937742],[1.9947308928905911,1.6545767710647175,0.6428552089235172,0.5354727743054526,0.6717400698637622,0.5926260784861632,0.5336654224949852,0.5470042246464353,0.4571322025209348,0.3713481478700051,0.38445292616044824,0.4858486452637737,0.3982064503473959,0.32165305854096876,0.3809827303927022,0.36184166049256206,0.4299170071016381,0.4274495412261529,0.4916285262367075,0.48543849668359484,0.5560494475053425,0.7603765476979005,0.7988317267092917,0.8791608244619843,0.7092723177209649,0.6262901041234312,0.5195506796849856,0.46003309207399595,0.4368742950006164,0.42701146404917595,0.4322962671669589,0.4887707922853788,0.5307273942753646,0.47195384020295095,0.4335239249715753,0.4195886650536281,0.45536885743423716,0.5159058088747774,0.45156124463236047,0.5254949496484166,0.6990498700628769,0.5899479655524942,0.599475633999609,0.8249483297960232,1.390016695950739,2.0961591190476905,2.2938743819230916,1.2702118551184163,1.5290434819209047,2.0547095935813857,1.6791842608324905,2.507129283872652,1.5374350471700264,1.4047458025904815,1.7184463397672756,0.9058594659243583,1.4133292867425589,1.1690550811771843,1.2232932678290396,1.4477160748423947,0.9151870700056222,0.6438010542310503,0.5064056131971317,0.6420748736826078,0.5801378865621456,0.5304820861857332,0.6851292073903402,0.5157608236256734,0.6694230835717346,0.5616807811192039,0.7970998719354071,1.0736763514643684,0.7497579195091947,0.9183291787210279,0.5236903865175051,0.9566293157848611,0.45949022283569985,0.4336939602056555,0.4482813199213998,0.5348677134767895,0.47841987849517253,0.7365825826672701,0.7425270426880876,0.54282357511563,0.5981463443312082,0.4752769677069461,0.4934623591232337,0.5321330552334338,0.42870190380507367,0.5409262611705196,0.46159056628103706,0.6562039799492069,0.5614797457573169,0.44880669048816635,0.4462273363634529,0.5394674612124426,0.5511586941021076,0.48534073092230223,0.47567805087467857,0.6462827562878469,0.5137874956277563,0.7413863707873888,0.5227495776698867,0.6712228921826805,0.669207104002037,0.6629734730436306,0.7460085925030406,0.7290700717826124,0.7055111459895035,0.6500056277686364,0.6058327083254669,0.5523578136218791,0.4971601050338386,0.47265460999965775,0.3942298078101579,0.412823251709009,0.46318049729945493,0.7679052927377434,0.5908145156782671,0.47792654649206784,0.4864286910614712,0.45059565561639997,0.43769019812593163,0.3799124716131333,0.3966541648348318,0.48748301727644916,0.5644388804845083,0.5249557310420612,0.6026477409009403,0.6203675254448124,0.6679435258341961,0.692707434563679,0.7061866575169644,0.6329769004936664,0.7115209972795772,0.8204592655287448,0.9627546270163786,0.7739625737658608,0.6285770314416724,0.6336985747579933,0.7564104158622026,0.8635164386180522,0.5125942704689047,0.4994684367842031,0.508469258881848,0.45103316004125177,0.4445713372924026,0.44771485905348,0.45008478921253203,0.503433481804386,0.5919433926224543,0.6050124699387203,0.7980468260551098,1.097061118868667,0.8419428682582153,0.6249468738983529,0.5170496980126172,0.5710068878607223,0.47883276774880795,0.5392440184205374,0.5392449823931896,0.4450416632703921,0.4735151844103138,0.4890102265870361,0.7217451789900127,0.7969457611492887,1.042080021183216,1.6030307418074015,1.59767116521487,1.432029189895735,1.0073197418128608,0.8722999490224923,0.6758386430838258,0.5816708464889646,0.47330797154261195,0.49967745684401743,0.5139872111970949,0.6360640243491374,0.5231856911455706,0.5599897611963361,0.8547760961320462,0.5501988906212125,0.6170812315408853,0.6886744117946131,0.6471716902158431,0.6498727168833432,0.6302086520996657,0.8704023720359264,1.566780491088702,1.1274493624797877,1.3455604628829414,0.9408148559134719,1.2468916931379426,1.1844695387331312,0.9802805772128893,1.106981845584531,0.8955914599978053,0.8058603676024294,0.8475272640946283,0.7597275744210719,0.9192806989640375,0.9058358141951802,0.8034588104874557,0.9381955398008591,1.1335128742699312,1.20074204399584,1.1627133983111106,1.2806051883752816,1.508449349047359,1.5599047982539187,1.5577441068034077,1.721584093255994,1.8948232285363005,1.817513537235094,1.9296841338071817,1.6885619449898501,1.918047301798215,1.373965634032669,1.3845155038670742,1.5313591990791435,1.4889368802929746,1.7422204119860802,1.7759213682173318,1.9544038240169774,1.5292663941762903,1.3502930801530648,1.25827572345681,1.1956921352937846,1.2862389507172294,1.1564221019606356,1.1370174297489348,1.2316654976395975,1.2461904222706905,1.1027998918053032,1.2418402367760157,1.5025207704945285,1.2139784846714863,1.25854158844471,0.9587153321896312,0.8360377962257444,0.9085539428741489,1.078888311313022,1.0773014389958915,1.2827389514400394,1.2132741610444413,1.1154467201631861,1.2563899203408544,1.3194996701097974,1.2692323640544219,1.3239867175139053,1.53518638249402,1.6399306342483697,1.6055847820435565,1.6568212711473764,1.813463742447091,2.0088809706754907,1.8267971914155283,1.8390499921196803,1.6810365254306043,1.5580952040930278,1.3914443129826344,1.3453106819492906,1.4732223150252952,1.3730870433745488,1.2187845075900092,1.302131390869291,1.3226339042981488,1.1428788011711373,1.2430385446349166,1.4412689202883848,1.207608316131317,1.2017016082098322,1.3084951331847419,1.454639939066285,1.3250465308564627,1.4732827248634,1.486370995085078,1.4318083210513584,1.416237666741983,1.1685569370560769,1.2154222031029975,1.522239761299371,1.1709794132773224,1.0512037649839099,1.2765948333517723,1.5966795217718455,1.2132562378032463,0.858222669425122,0.7534137135315974,0.7085304494083757,0.948779278856619,0.8539597411666872,0.9773882711662284,0.8653236444069866,0.7057065733067702,0.9357097152530671,0.7329683748037019,0.5816795440671304,0.9270633306983898,0.7693941733767615,0.6852973968834963,0.8105342371773097,0.788269146474641,1.1916412793964135],[2.147614821032342,1.83213466873723,0.6213580393123227,0.4777574583117418,0.6123066731975002,0.5330228894277862,0.5040638142164975,0.5051981182216277,0.49503635118773975,0.4512408720231466,0.47732105891342663,0.5372062385333312,0.4685706202905739,0.4651148047995094,0.5087017156889911,0.47641376536579144,0.5569819250119813,0.5776139193523888,0.6580003867755881,0.6228402106910805,0.694352965822085,0.8482698843167998,0.9214382253264627,1.0165084927578443,0.7967605175627487,0.7381819702724564,0.6286524348627418,0.5788009960702696,0.5516061108882714,0.499587987581025,0.5968180269851854,0.5305692369452292,0.6033212132628339,0.5893745040268455,0.5098462654031288,0.5352116351006239,0.5063227437574632,0.6006818688792112,0.5453500136357119,0.5983234389790718,0.7322219437506674,0.6591926157886703,0.6752190526460103,0.9240598217669236,1.5257776685834517,2.2380657368916004,2.432160473858958,1.340661626514502,1.583473720555519,2.081499213174467,1.640024998406015,2.637070945217802,1.603245312298954,1.4639869192781285,1.7001520847328344,0.9221078191018062,1.465289771090518,1.1760938577749227,1.2228820898616184,1.4847701714289052,0.9758857870030337,0.7001537317105184,0.6268002046473217,0.7933863889300916,0.6994644044478637,0.6444970002572384,0.7995312027225417,0.6756045253017167,0.8291474123763255,0.6952348874285361,0.9482878185617912,1.250317355750786,0.8920222121630632,1.0675586404045418,0.6716269502570281,1.1105809576125079,0.6143335332359033,0.6002203235622919,0.5935193263011805,0.6341117084461784,0.5353383131740113,0.7539633322573285,0.7822447087820508,0.5688840795491146,0.6809721792483958,0.5116159206370269,0.5708999636558242,0.5949209982702475,0.5458971726574029,0.6737400532614646,0.6066980594871865,0.8207171242101576,0.7488379665990266,0.5954594631982064,0.5734770627501777,0.6741494864977537,0.6718822947949571,0.5639261055636937,0.5252536005813011,0.6253917031382957,0.5159526600170125,0.708520501741825,0.5178997338949093,0.6266017847119941,0.6452880803266968,0.6177387389954626,0.671092747821536,0.6302747965820181,0.6017612815806576,0.6212454755756925,0.5301646382566559,0.5188731993364541,0.48447058292915557,0.5229824211525189,0.49153827264079225,0.5251869132042054,0.5831476237303258,0.8344770277034583,0.7925291755487379,0.6468125189223138,0.6652930669330928,0.6123288825240071,0.572600113363717,0.5080132747225615,0.49837000202511045,0.513137997626503,0.5062881416516511,0.47739283237800867,0.5249655468674971,0.55333211433828,0.5959646133393844,0.6022876763596867,0.6398602830684763,0.5558145645562103,0.6660827610570148,0.7908756385066813,0.8932825653810456,0.7462080639784886,0.6747470252588785,0.7452870514693716,0.8971406729310395,0.9470913768657988,0.6643839969301774,0.6184283771557427,0.6121709335564154,0.5474763753284003,0.5300609816555834,0.5037250322041921,0.4768810184059799,0.5269244116136028,0.5348842875696884,0.5820983121541002,0.7320661644114649,1.1950106103810718,0.9054963414751261,0.5957592686438631,0.5080079952152947,0.5300454514097883,0.489722724686798,0.5128632352786744,0.5814431870460836,0.5105975307908704,0.5643885700107371,0.5618645380334943,0.7412129676185254,0.8721175324439738,1.0045041482685932,1.5326374326413066,1.497363274127456,1.3666198239275145,0.974770810203802,0.8778641921961422,0.687306704773161,0.5988272246435462,0.5045422316654755,0.5085539579130963,0.5381512040007829,0.6523898044935905,0.5484363549546917,0.541021954798443,0.8983051655262256,0.5447348251253725,0.5996854224642485,0.6561343774583968,0.6498900398170223,0.6852716191643293,0.6945737388003599,0.9164950538806121,1.5993913054494162,1.1512079360224412,1.3669482597922935,0.9420363951002478,1.2226809788057804,1.1293066738222952,0.907346535177537,1.0568088423215682,0.8307577465820443,0.7045711840559111,0.7354424647677759,0.6518903319486877,0.7789130343511669,0.7915132995172893,0.6903131659881814,0.8192875116695559,1.0317064872771702,1.1338199025742546,1.1087092647695196,1.20064616216061,1.4595429958211956,1.5187031243727447,1.493936260929351,1.6834201678175185,1.8933650846329726,1.784374590648404,1.8983641045993878,1.6288721062505012,1.8872240432635565,1.2984707899960717,1.2976302078241269,1.4672868078591985,1.4066903279240874,1.6554585172837784,1.6854056863345896,1.8896706820816722,1.4303768342388599,1.2360390829232588,1.1429893725736968,1.0784234579380272,1.1457838071297406,1.0246731614618263,1.0089342960033563,1.1154967280709462,1.1415217501088202,0.9773282934470224,1.1785461004569429,1.408954477086776,1.134926640056105,1.2144648885465703,0.8447334278356172,0.7088788464196281,0.7700726936334366,0.9429327473644247,0.9674686884512392,1.1745807089348388,1.164183053503779,1.026390257236152,1.189728124611533,1.2969140672277986,1.2331261060647012,1.2790817377921726,1.5368734702062063,1.6720684566434911,1.603635459048982,1.649548844261839,1.8494346136553916,2.056946614801764,1.8325578044456101,1.838797595428254,1.652576106664286,1.512067775732334,1.3249395480709183,1.265534280064176,1.4038789995511995,1.286738231304619,1.106798517710204,1.1937042513093983,1.2255434744861755,1.0286329296377246,1.123510014721571,1.3491264202869093,1.118835158947436,1.1085302656695109,1.2214187396320244,1.4017659507060247,1.2663254335554972,1.3932661160380289,1.4749283560168176,1.4296038261866406,1.3319908053053957,1.0915700930833856,1.1104826718261476,1.4035596761702411,1.0646572256594917,0.9556129418638897,1.252630833083002,1.6440053694425718,1.1899997399411433,0.763554295788904,0.6583159336555011,0.6356594098380103,0.8712395344347966,0.7041724167034773,0.8170036354192144,0.8954700405798797,0.5905553515297091,0.8020854458677968,0.5790041202340925,0.4713655120300003,0.8209227003679249,0.655214661199926,0.5711620402538793,0.6935247473513764,0.7514047568456029,1.2724121765125322],[2.1096590719498014,1.7907217296182072,0.6323219577554263,0.5058678961164392,0.6747398217477848,0.6154682363508674,0.5924649353443205,0.5838039073368446,0.5138400494367338,0.452135588241542,0.4628364337202421,0.5499836280041154,0.4796222513512004,0.41182659926338133,0.46120963910108653,0.4528538312612968,0.5107713827139762,0.5157846680020338,0.5522291042503049,0.5448726108287534,0.608809717920588,0.8192858761255387,0.8180175976074963,0.8837337492595901,0.6880471756135023,0.6501443837595242,0.5530998106589172,0.5302891047328688,0.533313402042894,0.5092996656240115,0.5186271448226829,0.5666026638970887,0.6009849999171368,0.5590562483066132,0.5276068621028281,0.5128160222749185,0.5378917913479279,0.5908278807078154,0.5056433931401157,0.5145599377354607,0.6666443490362985,0.6095102444133111,0.5931670606721922,0.7089221731653575,1.1946659795771193,1.8772351493040313,1.9970413559140805,1.0548753097860928,1.3679970451796246,1.788713672411201,1.4057136964558887,2.2767872556075757,1.3379843825045494,1.2383301076208781,1.7569126855563437,0.8469804639355758,1.3292880992320442,1.1523264562334843,1.305877985000153,1.3591255309708856,0.8458700730473261,0.6448383391010849,0.5525963893655435,0.6834878578349967,0.6254081006939304,0.5908268540838975,0.7569091947027806,0.5876799161327012,0.6978653652329722,0.6380305591110963,0.8438902865029787,1.09871212601957,0.7951781935532333,0.9232529828215692,0.5898377358390343,0.9828121240059723,0.5297436855685318,0.5153090647381586,0.5317471634509343,0.6113291943182204,0.5692830457171506,0.7401402257985299,0.8434388102728312,0.5560420725206712,0.5853424606480827,0.5336537952847057,0.5686945454040547,0.6045834247826327,0.5189557296430928,0.625741237447288,0.5453275382199922,0.6829335285872815,0.6107176713130212,0.5218327480492445,0.5236535785444025,0.6094498587812147,0.6042645143945398,0.5653081172252576,0.5492988339871345,0.6820486428286754,0.574032878612965,0.7813269296858955,0.5686658627589216,0.7141841623910182,0.697476468632668,0.6855594407163974,0.7332389757058209,0.6987266533605281,0.6793669843443724,0.6593063619186231,0.6049639946976177,0.5935435650937282,0.5530241126302302,0.5548978139379696,0.47718712385976525,0.4974565271470691,0.5509979743196122,0.7414628420741207,0.6211899850754665,0.5358947277102927,0.5316994881482149,0.5127602749524973,0.4847771588731308,0.4743783586397345,0.4923620074745336,0.5531050056758979,0.5821930208006446,0.5357447498160504,0.6069398149954196,0.6229411459634479,0.6463943804268586,0.6576434690413817,0.6691527300064966,0.6214109285113844,0.698326285842062,0.7935932910633648,0.9535694004141348,0.7709875144755234,0.6500505970469133,0.593677431218187,0.7309799899489412,0.7995651782130274,0.5416681475809878,0.5460537679645975,0.5680662312359887,0.5125273837526454,0.5060716198518237,0.5244038391149651,0.5186729508821023,0.5648981699246783,0.6180121956216018,0.6495091614058033,0.8138621736140372,1.1171674210362494,0.8513930926466525,0.6590254000854161,0.5697970855741482,0.6108008622460043,0.5381116067660339,0.5886588489548041,0.5935396419559693,0.5089422139276252,0.5026943520138489,0.5054404471236282,0.658230926700253,0.7844798721231754,0.9544768646408094,1.4592590541176216,1.505118741138192,1.3607064817874681,0.96105495162969,0.8290045161026004,0.6522163529131941,0.578324940810642,0.5004855687025987,0.553702590348705,0.5690967866928643,0.707210676204162,0.5629773412326429,0.6061141344411092,0.8152085368669331,0.5691845095372797,0.6118014978265339,0.6696522248242318,0.6368669207673265,0.6268058969047751,0.5910712912467359,0.7972928946094292,1.4646270680125038,1.064298240116343,1.2593978081427109,0.875925460375557,1.1799623531473726,1.115730084840237,0.8883930820177355,1.0024268762323216,0.874776222236123,0.7353822650215505,0.7620394165052244,0.6981165542941752,0.8409783667462584,0.8655458165968783,0.7559147931788194,0.8725784489652911,1.0899763752464369,1.1813148208665418,1.1433765566447966,1.232783025966645,1.4910279150041068,1.5417130194991138,1.5053327080319518,1.6809784534577712,1.8883538901972752,1.7849258681571967,1.8699338910564345,1.6151544661593966,1.8544752119402184,1.2726809437038449,1.2975113881146318,1.4576513705877416,1.402045110959458,1.5759274507560121,1.6759639747120354,1.9391744145140437,1.4761123494418102,1.29436319409975,1.2073285849229212,1.1295159010184985,1.1741533591513853,1.0556599985146373,1.052090942964204,1.1132873172050766,1.151634024310539,0.9848362385206949,1.1239173528812536,1.3306603324638624,1.0926648471505152,1.1515429821553804,0.8455764813043306,0.7687114816224633,0.8397554935073893,1.0282458497148732,1.0632169959695756,1.266193094870777,1.2298306995471169,1.1141510222913409,1.255836799294482,1.3499768555803997,1.2874329295034992,1.334156987875644,1.5618323060886377,1.6802071815513746,1.6248556546125277,1.6598182126322862,1.8303252246323976,2.032893146544617,1.8181703118686596,1.815566253931373,1.6554439387315798,1.5334162281174712,1.3728067772797974,1.3131117211393224,1.4250767650724974,1.3213378781552647,1.154879483730519,1.2228453541381903,1.2488798667714556,1.0583074620282917,1.1326764908665805,1.3430348590854917,1.1259523694769697,1.0864199515983055,1.1615910296437566,1.316848290477216,1.2284135740462592,1.4054506261158852,1.3917065643466326,1.4327298933486559,1.2855221402418782,1.0468552372307316,1.1023861138069035,1.3929944629230067,0.9946663791482909,0.9716345237266835,1.2736432283534338,1.6523086584695275,1.105172551962361,0.7773253764321734,0.6968583976814859,0.695333346597874,0.897655212446458,0.799535747190688,0.8910719029976885,0.8752339670714727,0.6696243838906911,0.8579502105110393,0.6550699158932444,0.5632830717298982,0.896687316932075,0.6947286877500171,0.6218204431547384,0.7880879746277514,0.7858283934407069,1.1766988468580695],[2.0379883342382916,1.7884299312429641,0.6322347940891037,0.5843361711605176,0.822244830153738,0.7174238961219859,0.6927049446920583,0.6613960805225371,0.5533071216466511,0.5027537597840137,0.48320884158382,0.5768494369947476,0.5342726075747543,0.4478435020382021,0.4900607214259907,0.4992329935851307,0.5606743358851801,0.5682634402710875,0.5957520937964956,0.6092519151056612,0.6538342209477991,0.8668362684909647,0.8474473629114164,0.8905249125719333,0.7218803486085319,0.6906313631713566,0.6074377394338568,0.6007779052393712,0.6055065576410877,0.578194388023628,0.5642359961430344,0.6161855132059416,0.6271755145631448,0.6017180982904293,0.5882273038202877,0.5838575669396163,0.6169702070215654,0.6634026526649975,0.5849893668270384,0.5564287337709601,0.6447228586329692,0.636874477748438,0.6143854624542124,0.6686727909818,1.0409119682592611,1.685373966080878,1.7424731798999586,0.9002420794789449,1.223260461823715,1.5361185201058232,1.1862150681080446,2.067285868680521,1.1982700575136755,1.1374793377618562,1.8008179111655074,0.8874072923863042,1.3407237549242488,1.1501756782169976,1.3729339975210668,1.341297859627767,0.8357450068765285,0.6670081463641748,0.5898407370057487,0.7215004144512867,0.6621390290644177,0.6390831935167164,0.7949589337904786,0.6379164914398114,0.7252970297494589,0.6537002772362678,0.856960241446358,1.0823884957780916,0.7935974850606969,0.9082102246893571,0.6148015675076076,0.9718788099034006,0.5739266053817749,0.5645456637796968,0.5963904243142135,0.6781397755337077,0.6546931252120242,0.7852909960044859,0.9668164851549073,0.6416886010587699,0.6459372243565585,0.625343793088708,0.646979765174854,0.6773934794936313,0.5933992938620699,0.6852616090674649,0.5877186518994089,0.6857382572584385,0.6193575596787947,0.5432237276858176,0.5447348892286342,0.6125686002304388,0.6083422993316144,0.5910128979449284,0.5885159144837165,0.7164198540420122,0.6289041309918459,0.8528726787357246,0.651293973258592,0.8042327676013658,0.8009106907642406,0.7966389339505404,0.8236127625508439,0.7700910390704738,0.7690717873241293,0.7604027429422751,0.7083712919999444,0.7128404629258073,0.6569746095144475,0.6597350594161505,0.5578589181029319,0.58572618206248,0.6246367769518603,0.7858125697559193,0.6441598905109142,0.5889429010556446,0.5661880726404208,0.5573548018120116,0.5271152346700414,0.5531046134020579,0.5807921854551923,0.6536403671534934,0.7064811474373238,0.6506717935854857,0.7144455246148393,0.7315011098208489,0.7223221703776814,0.7541940295905303,0.6959889907239682,0.7176499273802016,0.7243369839478769,0.7797446634304148,0.9739616193480399,0.7929579769966335,0.7030892819636123,0.6018835001380594,0.7169707069240477,0.7445972947585756,0.5925542124941797,0.6110833570805722,0.6405929354966005,0.5805167260065018,0.5842071156106886,0.5957886002424418,0.6164738749154398,0.6424856387197829,0.7028872062682064,0.7113366588992514,0.8627425460759859,1.13613372595863,0.8810747838470263,0.7086883568908495,0.6338997636751506,0.6945901985395481,0.6212612552698807,0.6878136726488137,0.7008038380573223,0.5987274213482532,0.5719240579835148,0.5795740835928954,0.667542545477456,0.8105222500686832,0.8967280149121847,1.3069023465898535,1.3839303617911372,1.2707649315296037,0.9290629444270774,0.8158213097634318,0.6855911607893872,0.6307161519855523,0.5820277772407852,0.6649361833186486,0.6525579985852145,0.8236385827759037,0.6546696668407768,0.7246965643650678,0.800310575275633,0.6810869747034941,0.7081106034210624,0.7234027444354446,0.6852549927732223,0.6693523116705243,0.6102035836470636,0.8223288406497764,1.4115343451170361,1.0655926502012736,1.218941779278895,0.8511362534474315,1.1276407288799724,1.092041260009784,0.8680974388752015,0.9987745901938654,0.9081809558339233,0.7657752430113687,0.7963467002880489,0.7842704851534158,0.8622382305259426,0.9353646655403678,0.8425431243057889,0.8857616798649091,1.0933879070259076,1.2230782234830644,1.1538795518224456,1.197681899208341,1.474454050527704,1.536918632501867,1.4508138463285933,1.6054244010974668,1.8530928659315162,1.735480464132229,1.7387630425928322,1.4684311519944615,1.7136758450641922,1.116447963681804,1.176699881151381,1.3364356552621577,1.2705906136864593,1.4725405885947216,1.5169213102122154,1.8431392702427445,1.3825376384044024,1.2338708432659469,1.2223479358746197,1.108478095369666,1.0767994769578408,0.9903489899148726,1.0101815914632817,0.9873564074600133,1.038501204600568,0.9002094054674066,1.1348996553209076,1.1648309376433839,0.9689207808523989,1.1388678200481592,0.8239376576220018,0.7935183453691718,0.8789385435272837,1.0584006394110563,1.1396112056849173,1.3057216943779206,1.325727828374131,1.1909312344767682,1.2980082577602243,1.4224765251984919,1.3807202628925255,1.3784413770719444,1.5956494317852794,1.7207658812900466,1.6438495599505234,1.6412051056640131,1.8116543507619562,2.014398008592086,1.764437896310375,1.738710520122906,1.5851256227524482,1.477752670357676,1.3560018806190177,1.268290219328854,1.3437476959446242,1.2583856945390706,1.092311179440629,1.1204021719873432,1.1452664647478137,0.9810333076759408,1.0085887459524514,1.208498354235384,1.0084779065250646,0.9797523075238529,1.0011362544930011,1.1769251020195575,1.092254142914304,1.2554588890715737,1.27269495668339,1.438991104042267,1.1212797090296625,0.9306778031961541,0.9812043299281715,1.2464889200276252,0.8934722898766492,0.9669040393786307,1.2855963886035913,1.7658587758205795,1.1556780844685204,0.8538521572566099,0.7790180270092141,0.8089116079209824,1.0048360061450115,0.882774395256807,0.9240499522713111,0.9201501709654332,0.7543715335346366,0.8982889066726758,0.6659773937526781,0.6225707351289823,0.9238485341138696,0.6786354489107679,0.5955958195630278,0.7892193515371082,0.8306681336741982,1.158876404234524],[1.9389637255321228,1.795064360782641,0.7681861185788115,0.7149704581615024,0.7913254098574395,0.7256161169026074,0.7355854855267004,0.7201649515445637,0.6831369312061926,0.668126341346468,0.6493446376483497,0.735958060169819,0.7094746123751362,0.6551233668178852,0.6835448139813747,0.6817386191174476,0.7305005013020117,0.7340939096126295,0.7585873514661762,0.7679959390859021,0.758564276042518,0.8549268123317615,0.8532459163801569,0.9054048128146959,0.827493122419558,0.7927033939334672,0.7401118822019106,0.7451919793406823,0.7654313378348973,0.7165605759173773,0.7461994349464784,0.7302967201690749,0.7333677968934351,0.7163985853403139,0.7016108337600592,0.71822857825777,0.7292723608327185,0.7914635025240148,0.7774591864576951,0.8030904902300856,0.8637726297905459,0.7772312285753674,0.7696644900114189,0.87150516380198,1.2503508906730392,1.8338514423470245,1.893258340477337,1.0829780714952584,1.3112107939323483,1.6914623372016613,1.4218299318311303,2.1661424702803735,1.3599371805434266,1.2371838832703286,1.6862030355465973,0.9798196938886772,1.4958297709063098,1.1357575299535208,1.3294722815924747,1.635363323204179,1.106190526439455,0.8954617937155467,0.7798356408209344,0.8286895988510352,0.8202282602330632,0.7634030107414636,0.8693786795117614,0.8064942093072074,0.9139506758489817,0.8258849551730761,0.9739370967334107,1.1442781103498891,0.9449837510460987,1.0473713395027446,0.7720271604758798,0.9722491497887679,0.7712005827440025,0.7285713148831984,0.7467561285598621,0.8069877337151594,0.7484625668184193,0.9481307719591744,1.0095059060498346,0.7468795339125367,0.7726585738087087,0.714885313261614,0.7452043305766254,0.7769626473877396,0.7375263250352624,0.8003341607277842,0.7428472328150648,0.9076445879611761,0.8128183624195995,0.7133076152395353,0.7124872018164738,0.7555231502877086,0.7530281274311025,0.7086253155173653,0.6864808408032465,0.7708534806830234,0.7264179799515794,0.877652037494457,0.7369058970188272,0.8291180539464832,0.866978031788703,0.7945371217290061,0.8340493381657412,0.7949145752696529,0.7609878938311451,0.7660492569352462,0.7169089571981038,0.768389807009744,0.7340429216123068,0.772274335855508,0.720560233113027,0.7233702448001519,0.7648403355880916,1.1194920607851298,0.7692039650039144,0.7755567064785444,0.7625871385853107,0.7341089259803596,0.768493738123618,0.7306151155910223,0.73214905480468,0.7663647274164757,0.7330911429866183,0.7332378860879462,0.7551737665484664,0.7822818052364852,0.7765122781785417,0.750872592782021,0.7970600875470196,0.7716831369509953,0.8740420295071235,0.9999547406113666,1.1580248269171065,1.1037354803515977,1.0504030903761894,0.9304088872167751,0.9966153477151345,1.0584222285597806,0.8272365492988211,0.8030239282799492,0.8054568069667947,0.7565781780376482,0.7511782235616826,0.7453541358067222,0.7317863311893684,0.7622565162316245,0.7527402575101843,0.7616609378400966,0.8929822142970562,1.0969232550641947,0.8841443231581426,0.7922778669304997,0.7140433288705825,0.7446114451641355,0.7122896752577459,0.7518506023994009,0.7949905878190663,0.7529128263337295,0.8046305172541608,0.7914374461059447,0.9211548724344311,1.095410668660759,1.187724963652717,1.6440004980938847,1.7013334707489058,1.5789726589732531,1.1982996854053016,1.111188274299175,0.882856585954888,0.8345366288438105,0.7410166883443651,0.7281004388201346,0.7336878212026163,0.8132032149516556,0.7226247873921936,0.7678547556747031,1.130780564549474,0.7611968032087776,0.7974834886522313,0.8472864700716735,0.8419650015008452,0.8857912777928159,0.85434430505344,1.0835230812698213,1.6258912251682913,1.2274202722134897,1.376900847017792,0.9925856713710189,1.254977496286333,1.2095643519535464,1.010179790469968,1.1180533905324184,1.040526839095998,0.7983731820763201,0.7907752106909863,0.7367132663973822,0.8079642762315414,0.8145737406773234,0.7474621839852096,0.8260154758886575,0.9809672894794158,1.0641649572054372,1.0747552419936115,1.1141370493223322,1.2907789194296746,1.388200457705852,1.3587382037957239,1.4540130601323689,1.6358443433550927,1.6088433701563727,1.634594405745948,1.4346927512646268,1.5680016426396437,1.0745253058886706,1.1226102798899977,1.2358572828718206,1.1703080687974656,1.394099880176623,1.4355588829072656,1.7513890048260659,1.3126554489346411,1.128755781776432,1.0762747392101122,1.0063343885227618,1.0388636654931298,0.9441353121994054,0.9990242872016044,1.0133196283707895,1.063653012889362,0.9347807840959637,1.089026086221831,1.2282707428792552,1.0190521571306916,1.1308998818560076,0.8264403173977638,0.7900801887796003,0.8220379843898826,0.9503189203853324,0.9782266023305508,1.1321112989534556,1.119495115595168,1.0188284399909704,1.0786565934004035,1.1739097939929992,1.1595041598018765,1.1512650799387152,1.296224005725536,1.3861448533523753,1.3770294001963692,1.3871950071753056,1.5031283929437125,1.695653963892166,1.5229493753564962,1.5006805790124147,1.3887678846632356,1.2858536749831444,1.175956871927927,1.125358734232047,1.1976213022831268,1.1447149456933015,1.00738275246421,1.053548333854749,1.0852807046676214,0.9390027614009491,0.987347013748097,1.180355148125998,0.9997917635654406,0.9804579820865773,1.0203165643100933,1.1815527640398902,1.0972327645386328,1.255364554980888,1.2438806807014942,1.3897029049240415,1.0911023417452486,0.9343875493019836,0.9944233680457231,1.3401185488739917,0.9872552765532133,0.9285446198108029,1.2519316621154262,1.6589599218641584,1.0651846756220438,0.794284187327651,0.7419324582992294,0.7805024002639016,0.889139931592159,0.923563664639429,1.05077703503459,0.8738700130177514,0.7776991984456099,1.0276550957617323,0.837357626046145,0.7074253078072281,0.9006844830268967,0.8837376417563925,0.7910906862903239,0.8467138284291524,0.8448394371335441,1.1426560635054785],[1.4909305793949224,1.524289103465706,0.7265145049775525,0.3375229631077434,0.4818889270440077,0.4480573577605152,0.48530190582075816,0.42474228521260743,0.5226176293946033,0.5917220898700921,0.6060511512983499,0.608412628861392,0.5866355946055524,0.662031636082916,0.6539148484779344,0.5898084979347687,0.6405786954767912,0.6525606297778749,0.6776031984072574,0.7208906054900784,0.7055979992565324,0.7056850250167461,0.7527052700750041,0.789921752755504,0.8051914991581611,0.7093752573061038,0.6461667660489564,0.6268205073748705,0.6027285454260923,0.5330604577818816,0.6347954699662197,0.5060024251130812,0.5549267582611503,0.5561732182431547,0.5032750740009334,0.5566606115336703,0.5205014392163729,0.5893877772398354,0.6122018486742162,0.7153274973950215,0.9864397380025713,0.6698378616361498,0.6971146950373202,0.7612393657558408,1.2360702804852532,1.8669312110396783,1.8198468185442387,0.9684480337997908,1.2867587304716885,1.5556308660320146,1.258835228827857,2.0972352977249296,1.3034820849916409,1.2449406863275787,1.6446813815224735,0.9059866907390615,1.5111739061213671,1.1278777448033275,1.347600739205641,1.3979755987658113,1.102576291999889,0.8801768306552759,0.7191014624451403,0.7715936751316337,0.7348392534025001,0.6846210157875048,0.9136420813818817,0.7670095085450969,0.9047532935327343,0.7645292596009278,1.0235610288518078,1.1882204393231437,0.9135765624197917,0.9935601884771713,0.6976400200940793,0.8468651889807662,0.682459906375919,0.6073320801561702,0.6024887002424766,0.6264461445146212,0.5008162988737865,0.7544031232530504,0.8637217076006392,0.5336964262822663,0.5433370409436898,0.492407985952702,0.5068161846510962,0.5975381917235308,0.5895521308585259,0.6272346709431458,0.6054858407260821,0.7380741202377836,0.6911224105578491,0.5912322770742146,0.5987762297434834,0.6531015860785468,0.708411134348124,0.5452561424230429,0.49459489738519175,0.5735464367793083,0.46522245914890065,0.6596229015278772,0.47173613783303514,0.5856305451067954,0.62668693229017,0.5899117750838042,0.7068818006289926,0.6647108448122223,0.6598219052666671,0.6240579315706193,0.5352937357384703,0.49144693077740026,0.4454542757610892,0.5461213892405199,0.6130806797711986,0.6229499954738472,0.7003446434900906,1.296065498858842,0.7324663108576769,0.7740971654415031,0.7927103310011286,0.7633556210406771,0.8157738547012846,0.6974867594084564,0.6148787292767155,0.5322219969387209,0.5051246793057232,0.528600427805238,0.5887137310947298,0.6091874837586294,0.6431514371955315,0.6212656818152458,0.6731720971994121,0.6426635222594216,0.7781993923822693,0.9813276703041746,1.1180564117160028,1.1077132742236333,1.0426737461843034,0.8180410271022824,0.9410138295714687,0.9841360816233297,0.7388032447801778,0.6661031529001824,0.597843118472251,0.5956581205904382,0.5972312503027388,0.5365714706352981,0.4579246223109258,0.47196569939700833,0.4698848992225696,0.47702637958982913,0.699340261930729,0.9999753666090561,0.7306779367187585,0.5239463310960891,0.4450974196136267,0.45494300220650685,0.4385000873989696,0.485259785821573,0.5900955140605473,0.5534151827466092,0.6353963237382424,0.6148716759917198,0.8296382757158342,0.9599874414249385,1.0752323558805585,1.506230887594129,1.5852102119968883,1.546823974109233,1.133953857266091,1.0881413710194434,0.8192847388963477,0.7352106077123532,0.5591344481330219,0.4992201849905776,0.4833916215267913,0.5868100048098733,0.5262994955659313,0.5716365558580768,0.9546407839925772,0.5728987447419865,0.62425852589122,0.6812302556691431,0.6810729937365605,0.7022385023974556,0.7333948072552833,0.8842684781095833,1.5412721381557626,1.093915196286941,1.2592553185769446,0.9199603645109989,1.1575450003720449,1.0927181926656262,0.8357137990654597,0.8778806649727701,0.9742570974787553,0.7255900047390926,0.7511802097007999,0.6836025422360296,0.8393966737252919,0.8676758383230896,0.7533629770066196,0.8657048501150096,1.0307097216276946,1.112236047665957,1.091268096714636,1.0929250976426874,1.3065433912832378,1.345365000424142,1.2264601138637843,1.321834827698437,1.564439830716918,1.4062671990365747,1.3204769422430804,1.1337083306958895,1.373624685983566,0.9924388074087782,1.050133363474734,1.1428047058265018,1.160860607349796,1.4834625714686027,1.3501414083061383,1.7915650269052767,1.3160931403037595,1.195695322240685,1.1934367624408704,1.1083074945579767,1.0609360267035275,0.9885713383803635,1.0169350553729535,1.0080501326511593,1.0916739108034896,0.9309200847796315,1.0863856753058305,1.1140663845844547,0.9719421781411389,1.0711546609536442,0.8177567055134711,0.7857092995370162,0.8562806550811074,1.0281399409683112,1.0885984445398769,1.2273261096114403,1.2230413950584709,1.1182287739732313,1.185774879181984,1.2813650149018259,1.2421358299388463,1.2376801868605742,1.3950877741284275,1.483909771291715,1.4347893243008698,1.4231036453549784,1.5329894572213854,1.7145602854266944,1.4975958890186063,1.4720667963582208,1.3594895820144648,1.3017654296598389,1.2279407553836879,1.1765560120887002,1.2067911294122833,1.1427242468121084,1.0423083493721776,1.0542209073732294,1.0773786454453318,0.9728046648541986,0.9994485144363852,1.1851666788776243,1.0251905401404309,0.9909675690629444,1.0293633042855361,1.2027291821033452,1.1107335901538689,1.2934271014716383,1.2848720818740347,1.5874908645643961,1.1692972178443093,1.0480125251455763,0.9389656908343542,1.0040792364950786,1.1284823919130254,1.2547842585377331,1.4501591896415615,1.7828324828432733,1.1266831638242611,0.7578265178705491,0.687653636699806,0.6603900267411924,0.8119918768217119,0.7750170880008252,1.0079992056529596,0.852430261817885,0.5851107776910174,1.0286715074978003,0.7585899375010682,0.4545523929241083,0.8200344956989849,0.8538517408800229,0.7195413128847977,0.7255242489939245,0.719586719933906,1.0100350052492568],[1.3174795246647961,0.9397328996293005,0.8626667516120121,0.7242584418639222,0.6582587285252731,1.1046626269642115,1.1885953651364467,1.0569147161664794,1.4780927705925244,1.5660613422252208,1.612869652061503,1.4848831302508074,1.4453857115942672,1.6575551172370613,1.596048690533037,1.472163080547413,1.4769667810477105,1.4827255519427232,1.482916151036016,1.4605051534069424,1.4304294969501843,1.2127587537880071,1.3614527647246697,1.3429088026223395,1.415590027964361,1.3481474725805045,1.3086154839563346,1.3368845747593603,1.3535089703728305,1.2882730392579413,1.4788924296743156,1.2551444259196944,1.2794821940357977,1.313119638493129,1.2384019373006663,1.305889080250232,1.1745825352768955,1.1998113780291317,1.2293523709513077,1.3237475218395602,1.614490443688251,1.303554802095795,1.3361876988382067,1.2264767054649273,1.6925483975530713,2.2421306002414965,2.09780324426387,1.2345185005211223,1.4751552304534317,1.674920997081979,1.4087201188413667,2.278675224955699,1.596274072195602,1.6064087029911105,1.5296835567489284,1.1539112549115218,2.0255201569079766,1.3865765283012315,1.4171016647693357,1.7443145582334334,1.6857657491553357,1.5594360934209293,1.4780758174964181,1.495906247196034,1.3918521257769965,1.3944882071433073,1.6156982983779054,1.5695689789091984,1.732865226912486,1.651298262245718,1.825908263442153,1.932058666041846,1.758824127080551,1.7704688593468205,1.5645377762096107,1.5891487924706904,1.4800430848313137,1.4073584652933564,1.3159215195288734,1.2340456887891917,1.0311656792227104,1.1621751162564782,1.2501657057054985,0.9707479718581481,1.0249354580592298,1.021514425283509,1.1038170052790168,1.1618692136765516,1.3054241371862376,1.2932996171427724,1.4059115510142157,1.5328801738004043,1.5125605135851095,1.459221112359932,1.4845935548914349,1.5163303720535621,1.6257282199168788,1.3647022483242053,1.2845165062487731,1.0592699274902113,1.0493102178722318,0.8926187092034367,0.9031352689751897,0.6998641077577187,0.8148850838096283,0.7236913640479707,0.7695986894437994,0.721173588176001,0.7301598750880819,0.7271725270735664,0.6577371144696457,0.7811446097383288,0.9999024176589641,1.1223149233690461,1.3784425993706457,1.3301916404748233,1.414056688609553,2.0914559185338,1.5062917387368966,1.6027952374220593,1.6426659524962763,1.6323332565241622,1.6060178224352784,1.4794164345801346,1.410437623769467,1.0269093120888997,0.8037726543725844,0.7987482348039187,0.7268718998209828,0.7469089617465785,0.7143713814381965,0.6339521686513659,0.7203960554695749,0.7342418992011468,0.9288817475188678,1.2855456166368138,1.2664506357838738,1.5298333709090217,1.58010046861978,1.2824365364993926,1.445407555887236,1.4865018626730258,1.3669785144885238,1.257957573591242,1.1430706982787215,1.24813972752884,1.24491628123632,1.1921955233749648,1.019434887918205,1.0788039004381615,0.8386290862369972,0.95156498570374,0.8761199201254121,1.2205034959543126,1.1257246000568377,0.9151516470415049,1.0464069337322277,0.8358819234954455,1.037139670182159,0.8358731330214756,1.0379328672692498,1.1140988387840265,1.1375237867605401,1.1132748487214,1.2066314433562586,1.2924841477076439,1.2978164104870666,1.662603946938245,1.7043850550165422,1.7796925037246354,1.3608540836164662,1.4630441576496873,1.1749988560039852,1.111701290625529,0.9821791830889139,0.8661704897827539,0.967752272335603,0.9234187085481543,0.9203518335041302,0.8485264465999497,1.259111188075729,0.821922391700627,0.7507565810756572,0.7516063045414028,0.8083833435649894,0.9262122025793291,1.1105393747937553,1.160175696052509,1.846648952919107,1.260717698863815,1.3717055839033254,1.0599681326191133,1.179769816712339,1.1067499363171798,0.8501462057396596,0.8704656235180868,1.0812316380069036,0.7818660382739094,0.8171269981027112,0.7516330490967956,0.9962418953821943,1.041685605020838,0.8728969956082521,1.0248642131921473,1.2417389676705928,1.303779779101624,1.1904196840013808,1.3148412249900718,1.5363506675375616,1.5256725303147796,1.4741446995352125,1.5907034865019576,1.7833774554811668,1.6017074554306112,1.5767707081963804,1.4283722700821064,1.6544145162433712,1.4159988177254406,1.4191368948192384,1.4813742445440434,1.5589676299870077,1.946346251286243,1.585209755580844,1.9769749586779621,1.546047711262123,1.4650610581482324,1.4827025546064394,1.3683208583306086,1.323268383214519,1.1978982766251804,1.1746076332216142,1.1496010021609142,1.2371855720032754,1.0415357387986122,1.1837368047200787,1.1619344705179202,1.0770748475257348,1.1014753304376623,0.9318209944704875,0.8969346576139634,1.0130019849581986,1.2224696910516717,1.285769663157392,1.4356225060091006,1.4165280845920154,1.301840087918351,1.4289410901019794,1.5043943185118396,1.4382309163636346,1.4620377000843099,1.6262041297701553,1.6996146647208912,1.6503194292159407,1.6610491268211334,1.7615135594667817,1.9121353125699017,1.7445971400871623,1.7300030009756195,1.6188513049389077,1.567338699267783,1.468564226547636,1.4195962917384743,1.5162039980995567,1.4014959942781593,1.2706138461693477,1.3518053930974134,1.398494674924101,1.1943981392571517,1.2497650735434314,1.4727143197789512,1.2799036320765835,1.1815058213949043,1.3143793233626617,1.5558396732752418,1.370144919455274,1.4903290270664833,1.61505414589237,1.9640916571768305,1.6807107613263093,1.6382513519288122,1.307744371065874,1.265951153576163,1.8885484757727429,1.6946653431126935,1.7570628128805084,1.9555801223839853,1.284570619014657,0.7999298334323934,0.7471158760499077,0.702772210150833,0.8673064760196653,0.6994337631452114,1.0474731518951093,0.8644421290215683,0.4668508292440696,1.0826036418463536,0.6657973085942306,0.7243047333470323,0.3465025090963154,0.8511241784382514,0.7222993648435939,0.7929467359865182,0.8794963650116694,1.1320395015988476],[1.4998931737224757,1.0607111321070428,1.1828994342330723,0.7718753356490687,1.1014028515532863,1.0920515315964996,0.9067827710750547,1.0145431028576315,0.599874125411429,0.44738131512806034,0.4291664573534454,0.60907112761303,0.5852241240999013,0.36271810604089694,0.4705246852000118,0.5244149265914066,0.5173938043876295,0.4981537446214125,0.4891692336842105,0.5269648579398966,0.5338560447863018,0.8001669162814499,0.6893835041281289,0.7141216337245201,0.6357742094690293,0.5972579263496983,0.564653281501484,0.5438863848109291,0.5839104946050995,0.6772461450014758,0.5431886835144877,0.7588309963173593,0.7581288014083363,0.6874654764179944,0.7264436538546505,0.6512079971994661,0.8123090876084064,0.7031859641613396,0.6463986480921297,0.6199565585079876,0.6799686542768438,0.6159957425188705,0.608165316386132,0.6798271924415382,0.7830643265634095,1.365989553968308,1.2393999396710993,0.8434873628249949,1.2027359850236714,1.1941750828849549,1.0146788249482097,1.4636489641683406,1.0521302966596116,1.0590395762276619,2.1815065036249535,1.1534094986531265,1.1936529731471168,1.2891216148540943,1.7667682460911713,1.116011180728377,0.7026925144469067,0.6416768489423739,0.6023259678939519,0.6983839223974193,0.6224452544113254,0.6465884738329555,0.6942949626964818,0.5508030519345956,0.6435244081622803,0.5611699817269711,0.826184425979731,1.0596052955438995,0.7591384103647295,0.8096211281376038,0.5270944636563574,0.8653475263774043,0.5661653734323077,0.6093286628462362,0.6809129068293587,0.8114943052898249,0.9300656660856955,0.9122880399848703,1.2497196854852108,0.9844618060800362,0.9202115313177207,0.8893904858711212,0.7908151237221092,0.9058366448749271,0.6645729487786926,0.8069986020698461,0.6088351122226466,0.6697600854946061,0.5835229003978336,0.5633891810900337,0.5401353567358236,0.5838014841667695,0.559603728071048,0.6400890541051503,0.7237299149692904,0.9948618372474443,0.9242699454736695,1.3219057887225976,1.0840181685774812,1.3865647271766735,1.3127425053578223,1.3553500516961594,1.4850348851918633,1.3692062568373915,1.3954612985026043,1.374601406608636,1.3162826874574316,1.1318927240825718,0.959100462827233,0.783354923020001,0.5538656984061263,0.5137240461050835,0.5081550796293592,0.8707201887838222,0.45997823242833663,0.5078199860414904,0.45654961531869254,0.42699759409322585,0.42825291403949445,0.41263439792152157,0.5051974187202005,0.7397227878813716,1.0869473686797682,1.0244910510010707,1.1738974432694929,1.199974704309188,1.1314011742089218,1.3384616899669561,1.0874380759915976,1.201562575428154,0.961947355743419,0.8154431173088681,0.983239777221682,0.6331689739621866,0.5583209502047066,0.4828240772203381,0.6633037785271024,0.6194482630201901,0.4707767947122865,0.5185149130916898,0.636682569930549,0.6356654338284808,0.6177407905148059,0.7686497382944163,0.9034659187990631,0.9315840640210594,1.1786866537206178,1.09880817354851,1.3544471362502368,1.415203178774376,1.0909094608200929,1.1017399638238983,0.9505347472651439,1.1771960890857036,0.9368448474857191,1.1582532466084448,0.9191275755080723,0.7873457248469804,0.6430852509312526,0.7249184101654439,0.7965907646170534,0.6752035007209765,0.7968207042586883,0.9704358903519165,1.1040217292098733,1.0286910252007206,0.8105968402790719,0.6618519068118925,0.8001796439442687,0.8413994952666443,0.911026988343707,1.1047549866071562,0.9859112132201574,1.2939325288423487,1.0306437126553316,1.219376133004975,0.825486141121869,1.1009412889051098,1.136624303122144,1.1173979504454223,1.0273986068159737,0.9056206002802736,0.7694950391750909,0.9459239007274909,1.2637479903082298,1.0261858431523754,1.0914345577305358,0.9661070831218717,1.114923952907461,1.1241750423116106,1.0665291843266946,1.1628855516053944,1.1484607838852563,1.221851883520639,1.2518834418626403,1.392708303567131,1.4683892999980475,1.6216592886760297,1.497843504436881,1.3960380379393071,1.6261308458120987,1.7534521839847765,1.3984082902254378,1.5087309476562163,1.9136540843101086,1.8150845836063634,1.580398296201415,1.7841361667578526,2.1052046630269534,1.7117399637743158,1.5843075394289696,1.3085274768878656,1.7095292753191902,1.1579098828931913,1.3573198837154574,1.5131950554301974,1.5784007304603942,1.8643683528606458,1.7253528958312245,2.2097676815933935,1.7926526254148818,1.7889607772307305,1.9118963667686,1.7643488277170136,1.5866276615145574,1.508706275445873,1.533296140591114,1.416418185516153,1.4183003224513835,1.3264159431540428,1.5268653080030254,1.3077306956701213,1.1944582356010345,1.4334262044855994,1.2763672779807296,1.3520488408501588,1.4854070509627595,1.701294419872727,1.862758911051599,2.037417492886688,2.064438080216042,1.8946328190792854,1.9947100227515682,2.1413534554974376,2.088810073549576,1.999553911481059,2.213613483165101,2.314512516570445,2.1791511013181237,2.1557656991110328,2.3184057056763896,2.4493057201869823,2.1436269853007053,2.1267113958474266,1.9548381993213875,1.9493361095910013,1.8975936346158033,1.7824927463991127,1.7738549649379458,1.6621256854337836,1.5804882155437743,1.5012941193917035,1.4710631750190852,1.3631271968829268,1.3413947988043184,1.395437487240337,1.2244180901771715,1.2310605872545555,1.2239339938894311,1.3243346209466422,1.1993703134609166,1.321622412043305,1.3078742049172238,1.6175821680331388,1.2699826727371764,1.1755873523441083,1.1319555426014039,1.2023461867003384,1.4398667929162163,1.5131575610563304,1.6082456163224585,2.0875385444056183,1.4978133815408208,1.293801318363916,1.2681775622835108,1.286663265941154,1.4699741863701024,1.6648285006499317,1.7828963413085965,1.612319846126206,1.5250227227305124,1.7540360191171414,1.479688284848591,1.3060238603201035,1.8871851858824886,1.3292764996931121,1.0602275081761752,1.31654419478124,1.1938975831808132,1.4871370110892488],[1.538151948289736,0.9651246881725838,1.1931162194131884,0.7191426223427675,0.6179558129609891,0.5546274647334751,0.4862463562917828,0.37928735315278034,0.487337870980936,0.5343453714412217,0.5370716725787049,0.5504914491323778,0.4941604954694005,0.5589969638185669,0.5749301268308205,0.5010008146929136,0.5282856076288579,0.5256927209460385,0.5763364076010405,0.572426564589018,0.5493623754563605,0.5557357712214593,0.6123247430058775,0.658379342053862,0.6522912865880074,0.5969802583439179,0.5646060621320768,0.5289320855045279,0.49635034188748695,0.48012611360169766,0.5325402735926386,0.5069413287908762,0.549167829950251,0.510986240701908,0.48793982516119155,0.4800678801765405,0.47897030946252667,0.45384617633838453,0.5337108671364212,0.7226770413122096,1.0269556723277882,0.5762968408075975,0.6069870660749681,0.5591443954559074,0.9804913160295613,1.6354166878176426,1.4471002594324054,0.6632618553548293,1.0678335105542796,1.2126956161207019,0.8671058233035895,1.6529306692193293,1.0804322350907691,1.0387520510678447,1.6160422105578462,0.8343872592127856,1.4871719113246715,0.997506946211254,1.401034309360127,1.1360593294694536,0.8728746443254564,0.7156610441601062,0.6007054144110341,0.6800858556063762,0.556298310294943,0.5404640340747865,0.7422025646991809,0.629802039381487,0.7730916494476335,0.6618714227916054,0.9315213103662663,1.148988233816227,0.8556811342143033,0.8594557729066438,0.6025165299640411,0.8599992860527634,0.5618021796769512,0.5546211716385879,0.5247871846162446,0.572618091724669,0.5273291407669777,0.6103920941084449,0.9244905347846355,0.6050662899737242,0.6051025015266442,0.48925711038705716,0.4462710519462542,0.5587640072189519,0.4907487290349004,0.6146226442671773,0.5158297790337935,0.7013822386705355,0.5828647991612108,0.5581036608490779,0.5265900646454834,0.5948855014846997,0.6509124312812072,0.49412291168710837,0.49159980274548815,0.5638640960841819,0.44180764181151877,0.6666199810382647,0.4604649568920519,0.5411896397762025,0.5927198009357015,0.6048934892184166,0.8367644119870319,0.7113088155424784,0.755474575796844,0.7310428553680722,0.5701867475987623,0.48901216565038486,0.4483396171284668,0.5295570849745229,0.5306981244286227,0.557533046557273,0.5710846546414845,1.253171767986768,0.6283194618511743,0.6468561846614076,0.6560055333493433,0.6288348683445643,0.7004788793732433,0.6090248610427516,0.5838326685679762,0.5377709887374135,0.5301207596148129,0.5694206117513134,0.6273147605653544,0.6416472929542703,0.7195079797861599,0.586639882215721,0.6928568450850398,0.6693798255354271,0.7934965449649775,0.9919167066806885,1.0810319091559564,1.1409181533903874,1.1051328333304191,0.7340555595410584,0.969803149416,0.9393832113685472,0.691212937321961,0.6027893553965348,0.5184665162840056,0.5414923218710959,0.5385371441189172,0.5155978431215166,0.44699671883321507,0.43280569461321416,0.4120501916243983,0.3726370522508029,0.6703727327987841,0.8598818570185108,0.6501615325154328,0.45967425261702016,0.4037383119354879,0.4441699675476383,0.4126832232760767,0.4907963552456682,0.5516599383863791,0.49926363531646434,0.5710872813006262,0.5576533605824321,0.7928247360046745,0.9549012226801235,0.98736203639699,1.3816834743531143,1.5291769686419203,1.5109134379152025,1.1121693434969455,1.080789922404601,0.8096128411486808,0.6970900075759131,0.5126759399648029,0.5068589160092581,0.4845003428711589,0.7223394769210665,0.48164618978557744,0.6058022343222339,0.8494944908701423,0.5703450303586036,0.5983121220266797,0.6176881490136255,0.60780584577035,0.5942525512949911,0.6377670357950082,0.7827175173965036,1.4370621837454751,0.9107416928328523,1.0973560591334635,0.8191387999569975,1.0526661651300477,1.0147935368466303,0.8672086996434875,0.8684401618360709,1.1496846641398946,0.863327992865715,0.8598274772959046,0.7525853829454769,1.0826727981484985,1.168852192174451,0.8509417362068004,1.0260795247668413,1.3944656156662365,1.3499448509126635,1.1923210055650666,1.3044858200350848,1.784087605649101,1.4376934911379373,1.3119873199173397,1.6745535371163165,1.940284381872513,1.4668769966004294,1.4268159130454,1.198334352625769,1.73761847755681,1.1784017044901438,1.2867559603229952,1.5311817106471084,1.5557041166645909,1.9410288302694392,1.889210283215344,2.3343968246316016,1.829740742064021,1.788410506049319,1.7027450484334297,1.62972050543015,1.520659769196837,1.3608454430778167,1.4481881787529076,1.311149759833042,1.3745564841040017,1.1960543749839652,1.2435536662934825,1.1797367039511906,1.0484640328421089,0.9921286858139382,0.9193337965090912,1.1175310154788185,1.2605164002695035,1.4676207195721416,1.6096011539009132,1.832286491597025,1.759737664987517,1.5952075651442634,1.8526596737041598,1.9485790512693875,1.7022205092434346,1.8353228214088615,2.155450843385671,2.2396059107498827,2.082289284032082,2.1729264207003776,2.376590771013621,2.4713527977260306,2.1803481396840096,2.217171346006333,2.0135098610645232,2.003273495337297,1.871737775668982,1.8071384599511455,1.7988898588898836,1.5829925160865157,1.507568841642367,1.4801966413602778,1.3884017110978828,1.2257621240791938,1.3064385233339604,1.3295846193511636,1.1446552005192754,1.0740438434684285,1.101142519528226,1.140294851494344,1.1702509347300705,1.323312293478158,1.2005708474161738,1.463307855214166,1.309153523920309,1.2174325885370807,1.0013914005636344,0.8790499454542259,1.5352408705822134,1.3586695103824966,1.4197614328433015,1.520888225280651,0.8940661736141515,0.7640858426790567,0.7638334878078132,0.6108475889329384,0.6689871095673675,0.4924212989486162,0.5635615358106576,0.9096549910210902,0.3991376739427478,0.4293744521449097,0.3265526881591957,0.3009947938433229,0.4566777635351787,0.32488827121058866,0.42874209276416386,0.4861892729143633,0.9356473360030207,1.305476670335383],[1.7155966009898047,1.125532205025253,1.297688634017384,0.5347234877160788,0.5412786750667299,0.5360832114525617,0.46141992901985596,0.5336386737755076,0.4702707041912462,0.43269680727353443,0.4750938675526657,0.6272050074177129,0.49334903999847546,0.4247747526197926,0.5735822913959459,0.5419391258676497,0.48644464383219016,0.48922885099708907,0.48505528347767185,0.5159777161796258,0.49316129248576585,0.560410979064056,0.5874028150916096,0.5900449510482948,0.5436745314979614,0.49405792913684643,0.4541639782131763,0.43810591324819886,0.47307810135968914,0.5578226713087511,0.6160666593869506,0.674089817276649,0.718145922280931,0.6633415149899259,0.6389871950631115,0.5731655967199769,0.6228666827741827,0.48499322677375467,0.5381087427482931,0.761892280930993,0.9546611842318768,0.5067648110853941,0.5540062936729386,0.5226692538761305,0.9041625726758685,1.5650194297348279,1.3735899096077908,0.601308610795573,1.0250761183295058,1.1490144036842078,0.8184446949464804,1.7102590012952057,1.155358835968439,1.0935830299404252,1.627479603540424,0.9153834743072228,1.5595976378841303,1.0260016333973605,1.4317363268875354,1.1668187211899124,0.8679190364066107,0.7315565572363515,0.6403752646047863,0.7412514562542502,0.5445299201109072,0.5683039567456073,0.7472273473840733,0.6217631602798535,0.7103688397698695,0.6315494288239433,0.8800383068348738,1.1266258979989152,0.8627699459510046,0.837519206697332,0.6144201708940576,0.9526593838668327,0.6222780862374682,0.6821599380494392,0.6397896840439874,0.689902262030182,0.6792914468707117,0.7170747681045233,1.0842654878681115,0.8155562880603199,0.6933140170541501,0.6198563886432799,0.5232702124856529,0.7144469610385201,0.582373561376855,0.7288796761756828,0.6353528316470134,0.8115781356392199,0.7243303570539388,0.6976694983196575,0.6355745087933431,0.7121096727573285,0.6520736033645976,0.670975674480815,0.7061439545979,0.8600640568525126,0.6912094964209434,0.8906337515208476,0.7069314226838446,0.767886022682692,0.8430336064242505,0.861011912023688,1.0583803693582814,0.9928939186617132,1.0206857612734443,1.0292486821119553,0.8222126393166931,0.636632795115507,0.5222811638182665,0.493145997335594,0.4259088336299385,0.38102833812558706,0.4176988254043584,0.9742294268696808,0.42995076234606666,0.5088523395593748,0.44002882086955264,0.4152725788204916,0.3976161522677287,0.3639754796619517,0.3931046939308099,0.43370961065896724,0.6093022153631996,0.6425402912732119,0.7919806759952573,0.8550155526628644,0.8988621927826614,0.8093858025351319,0.8835885918707725,0.8835655779120509,0.9362911880842076,1.0643703730289678,1.1366601153516072,1.0373419847191199,0.8821864554509011,0.5981994096774698,0.7406310989626914,0.6937889459615751,0.48510275229414523,0.43640124047610857,0.4211230071786297,0.4826340849434052,0.45977828452870334,0.5304085838719332,0.5590815150225075,0.5447509109057991,0.6401438327069336,0.6238931048257124,0.9362412218872351,1.120945844845821,0.9431199321459114,0.7526536010200736,0.6448079420043692,0.6986828120688188,0.6133062483372043,0.6812567668325736,0.6628549513684844,0.561003133132038,0.533948373921616,0.5825089975306175,0.8025710874519502,0.8776481376316471,1.0200482731544545,1.3636499446642218,1.5351762478315352,1.4659102336288392,1.1338349544199375,1.0587133258107215,0.8718552186491973,0.8099260785801686,0.6627184992829412,0.7162829915338175,0.6480874837566747,0.863416041172808,0.6732823756371136,0.7941916152790123,0.9861408949459766,0.7842700970393487,0.7848538168975703,0.7656058343968569,0.7186275795746122,0.6782787441114365,0.6785898650979728,0.8221653567038351,1.4330028357396956,0.9601115862916685,1.1820445943788582,0.8911294718069115,1.1657967535192755,1.1364889832523888,1.029917673656745,1.0312725189688647,1.2953481324885876,1.0879287546828655,1.0941158975390886,1.0204221586429623,1.410414349511512,1.5074756025847742,1.1537523895527735,1.3264552858155005,1.760584540582286,1.664200510691605,1.4515900067097158,1.6530158867562377,2.156655941730733,1.7270515116268843,1.6562048998904033,2.0675326687368076,2.2126644676494425,1.7841192762528888,1.8259859697229086,1.5540113463769458,2.206471114575202,1.5371763269217102,1.6783082539357272,1.9989508063683084,1.995761584499842,2.3730353326221714,2.4026917786727995,2.806449855562145,2.281126894968992,2.258704251938954,2.107494348204671,2.06381416465156,1.9520386604982527,1.7633895287836596,1.8399933876659338,1.683811322100527,1.6741424718175653,1.507456770415853,1.5052833516862625,1.4047450011205396,1.2752565555047484,1.1452146947365192,1.1770255642895613,1.4304088652357623,1.6233610029794627,1.8450797545034683,1.9837402191877684,2.2327275277596064,2.1096163801388124,1.938647600903387,2.282736225197845,2.3471738943587335,2.007558953480596,2.2211978883190846,2.591535386583426,2.6459387710516857,2.4464491871928034,2.6320182312407323,2.864425245417309,2.858178253722894,2.6258418825065193,2.7292413220297473,2.499733062768506,2.4989876546491803,2.322374911458313,2.2882172054242647,2.2852579018062973,2.0046856909521074,1.9415259635139257,1.9276874005360844,1.7979273902374098,1.5889614289175218,1.7065689689349652,1.6532926054346817,1.4267422016139515,1.3388949449816987,1.3782926556951154,1.3196376035304132,1.3472959441996382,1.455994424478797,1.2715610029244022,1.416698075768897,1.4745651692334336,1.228227057731304,1.2119053899347096,1.070819171913407,1.4045105829577498,1.2564803325285425,1.3426779758497205,1.4451200857176059,0.9771214701435451,0.8491720213807924,0.9683683422216051,0.7459174615130195,0.9586640120173492,0.7612722981064232,0.8220856616658844,1.3538133056752963,0.6835310299814045,0.7912620030743175,0.8674455494488956,0.5836034000859704,0.5028172990512019,0.7760984385296149,0.9217774599684213,0.9097552372179128,1.5477034938540206,1.7897399046048097],[1.64191060894163,1.0511698709024553,0.9535489930666678,0.4959168842386078,0.5111579755872411,0.4978049432047334,0.44206683021829635,0.47839143740464923,0.4631771984791484,0.4410991814793286,0.49302362576834347,0.602664319997928,0.49856693430537974,0.45731550446548364,0.6084893911638062,0.5613139641487986,0.5298902954161365,0.5440352738889229,0.557822713257159,0.5518995494554378,0.567903665008718,0.6873035526887263,0.6998038250579457,0.7102919569036634,0.5891070131410262,0.5869217359522463,0.5210794583745053,0.5082071010380004,0.5202155542805164,0.5735367855212377,0.6495480043305085,0.6821340205483697,0.7132690762838204,0.6758062919085254,0.639111418943482,0.5999236361352527,0.6058759323308394,0.5186369510141444,0.5182438982565669,0.6074009413427477,0.7840880873188399,0.5359168090507278,0.5544123671139306,0.5718177611205829,0.8020327059183628,1.4199658972958669,1.2174506342076465,0.6284772576532578,1.0370053012746836,1.0369261864058168,0.7694320954346031,1.5390170720087324,1.0592285766358243,0.9897223192947436,1.7721222820811695,0.9974817752747083,1.4773602396251295,1.0338866624643555,1.5275787226965496,1.1379191912629725,0.7931734286184571,0.7061082080800917,0.6592703043080548,0.7969627820347848,0.6002888344063038,0.6141043702716834,0.7903796457976499,0.659791213774855,0.7517248480647277,0.6774808934289966,0.9069192040705316,1.2015921831913565,0.9218080028938704,0.9059123113405909,0.667557521576481,0.999104851380103,0.6456660115505368,0.6956246237577877,0.6663917616778462,0.6894800400327271,0.684081500090836,0.6665525065685576,1.0714820419442481,0.7345203440976624,0.6176245471166907,0.5765179659613483,0.5539110252167199,0.6827115053365537,0.6069635986642876,0.7690449069721554,0.6669932788315116,0.813342607624875,0.7411129433005464,0.6990581520547624,0.6595899172863813,0.7383879859078513,0.6877500650490123,0.6651922305323191,0.6864304155389217,0.806860520233153,0.6521535657265054,0.8928596500086834,0.6696364637101795,0.7349651637966508,0.7202156971459079,0.6879592215266805,0.8519784012118842,0.6905084015258355,0.7102421818885698,0.7554197381501069,0.5845112891354864,0.511286707454856,0.4595480752138249,0.48118049997880247,0.45826302682689873,0.4546005259171584,0.4792248721821743,0.8825467628983376,0.5236938876250534,0.5692985348314383,0.5112322227337607,0.47770857974324327,0.46010546035414,0.4236252772968051,0.4370335243486703,0.4575883015702735,0.5345780708032748,0.510363436106683,0.5411192391337029,0.6085481509585793,0.6172160077858232,0.5898949721727059,0.6100963075095623,0.6569456891389448,0.6631408892418703,0.7736898327760504,0.8616053397652146,0.764202628300833,0.7361622550417826,0.5049820785850745,0.701222344069169,0.6255361820001781,0.479642844267078,0.4351320564335492,0.451533249620441,0.48539173983869716,0.44403342544403757,0.5104100488139113,0.4859870970703275,0.5062546569397166,0.5501527325660909,0.590603646872151,0.8529225271495438,1.2176806705755248,0.9394375701950631,0.7083403635704792,0.6336954132652515,0.6604775906539406,0.5880852766737021,0.6143291121484394,0.550517705876335,0.5016986694514335,0.4447903785786184,0.483051871807833,0.6279518588080271,0.711404002758101,0.7612790196017043,1.0712872920384782,1.2190792723978487,1.191421741298809,0.8595370881334621,0.7972733450180567,0.6370101858037417,0.5903236863384537,0.5315627638586012,0.6406225491497327,0.6095763171490134,0.884695761520267,0.6156350419001283,0.7217602770091844,0.7706999290143957,0.5959883537681362,0.6033950633070151,0.6003945375776352,0.5688476571305774,0.563976729276343,0.5742932119688913,0.7768580484916587,1.3477488680385192,0.8591335810678491,1.0114620775859549,0.7333742358842213,0.9165675279455996,0.8757790540686062,0.7210213856373481,0.7624051937097632,1.0258811791261209,0.7527490325432369,0.7585148769636088,0.7040640746609202,1.0284691957264258,1.1613774370197656,0.8376752156514848,0.9570584012803709,1.3621754657210328,1.3258665777173835,1.15159316541043,1.2634477904978283,1.750716994880388,1.3774740289387537,1.286628809847001,1.6441379128535614,1.8170689861765918,1.4936233025764794,1.4862685479914244,1.2295302604761085,1.8285436782506905,1.1883500441603567,1.272727656364717,1.5523311782643139,1.5704931360875973,2.0120512869736227,1.9377083954396872,2.428688662177824,1.8596962996028505,1.8321121108974805,1.7389771156856473,1.6710193992153797,1.513894193306299,1.324791687853213,1.4168361406937577,1.2509018124394027,1.2852820217832344,1.0872303172893734,1.182245677520685,1.0429109074515346,0.9408291052051947,0.9239006799883498,0.8205612237886608,1.0477969549420538,1.228094767041341,1.4551914200112248,1.6412653475931127,1.8850904828873576,1.849984218203722,1.621900944833016,1.918066135252074,2.0641033151021815,1.763939010273875,1.8778883619916378,2.264282547351474,2.3611787505466433,2.093580867730328,2.234445619139174,2.4930895142025298,2.4882082542890482,2.193809955724859,2.2949830126935464,2.0485485437544,2.0570033375851797,1.9017825919188294,1.8502749998004488,1.838047772195258,1.56233008128189,1.488650029471307,1.4683464161084268,1.3664187404798152,1.1626148420204625,1.2569130239854742,1.2859436797208936,1.0665744989071282,0.9802251705791564,1.018147574996081,1.067837644225305,1.0585752718587242,1.2255585888301586,1.1434522550044157,1.4430402269022273,1.270326453478508,1.1147264859626327,0.9248127639973251,0.802872023693536,1.363438716898514,1.2645090931859906,1.3785749179437135,1.6200783569988348,0.8606794374347054,0.6589188265928839,0.6742390179225016,0.571401320874484,0.7075925282778632,0.5242444861422573,0.5795654595202616,1.2973953298334793,0.4469771591218084,0.5176536545805286,0.5736138561861871,0.4712385970441596,0.5349935490966173,0.5111617081171137,0.6436420420705745,0.7942825876977337,1.2197483070925548,1.8280153154071217],[1.7411986858154043,1.2113745525243094,0.8521405609115824,0.49639531538194304,0.4872136509903885,0.4108777392807157,0.33171101047592616,0.34523168910512764,0.31654715922654647,0.3104372350815019,0.3794793857076565,0.4641615822107032,0.35418736884952,0.33409913240361655,0.4686845486503381,0.4001522840599967,0.39136882683218815,0.4156058235194449,0.45187942839103895,0.41526070512206503,0.44843760149067063,0.6092375098487209,0.6265563665587727,0.666648356439341,0.49584940255139254,0.5031113474416196,0.40561021193297153,0.3775439207047028,0.3698477216027131,0.39290580894616556,0.4846602217417334,0.4984087324378783,0.5476653878734338,0.5098195613954933,0.45371721894333233,0.427301664260403,0.4354340908293337,0.3593655065004653,0.3428150782687087,0.411463596686011,0.667200770713824,0.4077634639047218,0.40516390034622224,0.45589075460718814,0.8124679472238568,1.4614471488236498,1.311323785408766,0.5885823729490562,1.0300816469011957,1.0613430262985726,0.7131512187211827,1.6296735875302228,0.9897824703329615,0.9216735794132035,1.722972395345908,0.8274353381567472,1.3633424241363596,0.9650713224450855,1.4496707663326331,1.0921629323149147,0.6970881561172998,0.5748818249115721,0.522836845060689,0.6606205054197392,0.4885058257801455,0.4864345208965047,0.6924265439717202,0.5355246279451391,0.6701613998500532,0.5680073200669851,0.8280387940968804,1.1205460626143484,0.7994307095172836,0.8225978643614618,0.5261637102697183,0.9030063498416516,0.4736401195483971,0.5061973132830346,0.47939997374420595,0.5325474869752691,0.5266430491327698,0.5192509807786754,0.9613225630343251,0.5175432952363064,0.4912114796142799,0.40647042290813434,0.4003458876148825,0.5333172111281265,0.4425483347000149,0.6102817479149575,0.4990717811019156,0.6702614797357848,0.5618952672743174,0.518239901252615,0.49083564080167424,0.5811033531119233,0.5681373712473955,0.48306266169458983,0.4900512270864858,0.6482966050118517,0.4749947035988065,0.7599431146508416,0.4922998164433408,0.5742589197105313,0.5786566533261548,0.5546868786706859,0.7387587091882489,0.564913059567465,0.5918034612802818,0.6587188471113359,0.46314261033816867,0.38729607629914076,0.3171833276601274,0.35376661658451564,0.33115757355955805,0.35344068776349147,0.3878793380024105,0.8238835178968889,0.46061538000970337,0.4781339838995576,0.439191911702907,0.3892309839725894,0.39375556772098813,0.3307043483558948,0.31752251742530047,0.3464677628683314,0.4272089980252096,0.3926047694793923,0.41901796276232,0.4879971142422412,0.4876177949922781,0.47263988137173724,0.4807089283924599,0.5339659515399668,0.5411064328748596,0.6763537714042949,0.7822322148049843,0.6739108974194453,0.6647903071956369,0.42929447665514353,0.684581858481652,0.5968125285533209,0.406159531167909,0.3381571027665319,0.3233767607884593,0.34669780610404277,0.3079215165102811,0.37211646149036703,0.32687736675129286,0.37503265572688643,0.4253804689459412,0.4715508950359803,0.7357185354334556,1.1787981927288378,0.8286922541161881,0.5558257071274267,0.4536086408752249,0.4822674601689972,0.39999738025722464,0.4802048697281119,0.40654835366979064,0.3447912292662892,0.30301694250653743,0.32762474323804724,0.5143513410836733,0.6353715240425547,0.6804403992977373,1.0360771449111346,1.1719314048962832,1.1412488731798867,0.7724161037168011,0.7113164961830819,0.5207127402038009,0.4659660353571594,0.3547561624385734,0.46231363064949454,0.4268187986926157,0.7530148845524562,0.4338847435182628,0.5618089702194815,0.6938247692704884,0.45449507009983553,0.46618974901071764,0.4498629099806731,0.4200648107769201,0.43412727654055,0.4387878738764874,0.6659366438270956,1.3144435340854044,0.7955800588403725,0.9559208985379309,0.6525265669583468,0.8671473918391733,0.8207206405556521,0.6111773958238447,0.686208975483292,0.9003873881853063,0.604164287716023,0.6153261937010843,0.5661746233595345,0.8554593260088005,0.996387981253304,0.7121421669392902,0.8352087368638419,1.2073132156975668,1.231671580603321,1.0889043630397108,1.1727536856704157,1.6277617442363508,1.3778021238054547,1.2679602203424343,1.5855919715744835,1.814284447415165,1.5250583814444074,1.4980807006824586,1.222301222746484,1.7259357704277338,1.099326371954528,1.1779567888057427,1.425088016516665,1.4171849032396386,1.8302887440504607,1.7381020669011213,2.1913891009848263,1.6413046182679696,1.5793582642938107,1.5008636821764594,1.4106007331959205,1.2752101073931517,1.1194117895962221,1.2078046600428425,1.0564824901438234,1.1343011213362826,0.92340344744978,1.0573215603494075,0.9532240557236651,0.8493539101720963,0.8688018506571819,0.6855630802049447,0.8529039272985244,1.008959621471754,1.2546236847098844,1.4257420797559734,1.638566834753014,1.6423762341235428,1.4257950261751298,1.6730823584423153,1.8351933338354471,1.6109714423165182,1.6862233364539003,2.037595417239097,2.153132276684694,1.9390192292445059,2.0243623661653767,2.263540961047731,2.3281745921273402,2.0354204319214353,2.0883654740415705,1.8663788412173583,1.8350180962430769,1.6854042093985624,1.6157366823919492,1.626855022373033,1.4077553070491375,1.2926623206595724,1.2824880968387546,1.226651310023559,1.0167842316718783,1.0770973890298279,1.1816998020142264,0.9808901178758147,0.8744081639763835,0.9238738884946963,1.0488855759277094,1.0142398677951516,1.195215216024401,1.1564375268366751,1.4779628687341138,1.193382891454197,1.051138440089464,0.8728916902048953,0.771364021064176,1.2469463601846689,1.2243885911179022,1.3881445788279214,1.7050720792481175,0.8819648781608478,0.6159697122422779,0.5564710843726894,0.49475885617244136,0.6390000322019838,0.45737782880178246,0.526674668902191,1.1464816725848272,0.3635687741043821,0.4692935073730953,0.41144026459683364,0.3239018939251067,0.5809501919026441,0.4349777783143278,0.46826975254657766,0.6625603991991719,0.8687955797691365,1.5071298110622144],[1.8959118454262587,1.3708343973587225,0.8811021588653416,0.5233272911013488,0.5163129862836494,0.41739165300140896,0.34165200219233427,0.3608372136995651,0.3146817922370822,0.3068003141173387,0.3626422036480477,0.448167010432276,0.34541480793735235,0.3236497437049128,0.46309697485321055,0.41046741910609325,0.4100132327103404,0.4459902138921128,0.5014567285688656,0.4267033814662224,0.4954599384356929,0.6811336059538284,0.7020878870184946,0.7642157832924418,0.5301299046331829,0.5568744099198295,0.4384944555353208,0.4035843620912897,0.3926607659443456,0.41236637862501024,0.5060163048740387,0.5201619845381559,0.5718781211317567,0.527700684768579,0.4707089562802158,0.4406229568910866,0.4387089276253485,0.39257765916983545,0.361562611567559,0.3670514827644006,0.6089276638411399,0.43948457670770275,0.4414904592454831,0.48812443412996515,0.8573619739583979,1.5073247850420473,1.3912939042695391,0.633620573634107,1.0557870168137273,1.1001079599245365,0.717360978694487,1.6897814890749732,0.9926687202830469,0.8996019970609187,1.71757385435747,0.8134884050466427,1.3440531367450572,0.9570061923299058,1.4588241042205352,1.0869058436891594,0.6529795009872601,0.5489846138191915,0.5200809989519173,0.7069384958662929,0.5097037428280572,0.5081879778901629,0.690271692565675,0.5434076322035976,0.6948456365305198,0.5902788406016989,0.8559683296780548,1.158581848561452,0.8179917756755534,0.8770389908620544,0.5673705179254992,0.979104811438973,0.48597341803753774,0.5255237048826686,0.497718980646311,0.5389780364894413,0.543376463237602,0.5132309699834312,0.9703511112325736,0.49272394755756527,0.5260268557036655,0.42279187037041605,0.435717898002436,0.5323456198090918,0.46273686512196865,0.624960183415933,0.5216112272491163,0.7195225566426285,0.6052226494020493,0.540393672868198,0.5135925511068989,0.5951942599869708,0.5580731181578561,0.513978835211017,0.5150246025460598,0.6824258902514772,0.4963868182668105,0.7464093871334457,0.496366823029346,0.5856667392138871,0.5936151534562144,0.5635339029643273,0.7403668202725142,0.5503373324593394,0.5766849407161215,0.6644925673745684,0.4555520259576,0.39987462659261525,0.3312351158778593,0.3855328372061807,0.3608139935380519,0.39197489235787303,0.41555252963424455,0.7387316281792775,0.5128418614884835,0.4979184767640915,0.46539708948528363,0.40767863852473746,0.41826147566194577,0.34660626217824253,0.3381951451828188,0.364378700183374,0.42872953485945237,0.3989125039340944,0.4161988607747382,0.48178917831598606,0.4784509616845778,0.4616240876371324,0.47191079774557027,0.5167099455408755,0.5383296496101728,0.6668543673552735,0.7764283779389031,0.6699966967309329,0.680279016041601,0.48312863272637196,0.7476279174202383,0.6466509345569793,0.45579414374322885,0.39771128469818817,0.37093748571647955,0.3618170639023027,0.3283105490149471,0.3721455778531964,0.34229020542811023,0.394251568463151,0.4362100270790379,0.4883058975237456,0.7441679869798464,1.270831296212435,0.8707694272023794,0.5757740598897152,0.4754257148066949,0.4955029886507612,0.4084012987328893,0.48037499620667384,0.42435356106612676,0.35126422768236054,0.3347063205380664,0.3484455508516046,0.4922310304978211,0.6700320410035661,0.6966269815816154,1.0689693278300543,1.190633276247618,1.1542513439453788,0.7758732357014703,0.7076513405440854,0.495943606349002,0.4411292496721636,0.34957079454721585,0.4605061357217183,0.4293193378321486,0.7581104656627743,0.43493870050778,0.5560097685497852,0.681786379323166,0.4481646357881342,0.4576689987982508,0.4391189113201058,0.42385418180553536,0.4449673448584894,0.42915074691637495,0.685582250673937,1.3478694317029651,0.8294763075673954,0.986988214293232,0.6686954744089281,0.8756995569862098,0.8309979914595645,0.6007231758849695,0.7115905804972094,0.8824761050427051,0.5881723875295539,0.6015076356439124,0.5544671788484314,0.853804452127142,0.9992314765201566,0.712604411880167,0.8452374823895601,1.2311756608327806,1.2488096804769546,1.1118040526416437,1.2184632592407574,1.6850708570077753,1.4294638559926314,1.3469776379043945,1.6908917680690554,1.900610163049005,1.6042403601510284,1.6425305840542115,1.3399464039038649,1.8665301323870163,1.1907385525585057,1.2571617470904688,1.5360973775056677,1.5128924131654908,1.9059809699013246,1.8536698867177483,2.247002629098061,1.693259554077737,1.6232376829956014,1.515367227702427,1.4233159847804966,1.3082539071744446,1.1399200203872184,1.2236189404268347,1.073939449241128,1.155062100892799,0.935032120508063,1.0499292155141629,0.9750901499523636,0.8505514587308988,0.8594211451842876,0.6761256190036776,0.8372869562354638,1.0005082920495032,1.2619602284855467,1.4327379670319726,1.6704992696025915,1.6574609794299289,1.4296939052866002,1.7149519416492018,1.8776465648078275,1.6256242967833343,1.71957517373587,2.1025380990281937,2.2154402431840934,1.9909331391819454,2.1121207955654104,2.3785745690918065,2.424578333264331,2.148600408098351,2.225724077714395,1.976718943357819,1.930100541303245,1.7468071089815995,1.6826005183079011,1.718215275157882,1.4718396025764922,1.3398458286786226,1.3471706884700658,1.2873367949013574,1.0487623913502355,1.117126014928441,1.2230659727590272,1.0081125572730463,0.8885205497284612,0.9399591146530073,1.0681481819170593,1.042446178957209,1.2274053367783637,1.1711628116310377,1.4494463328966571,1.223973571593413,1.0250605767077772,0.9039596041183839,0.8215570517306331,1.1348742390054227,1.1610189515011133,1.3607983017501668,1.704335999590325,0.8523899321624933,0.6070583487981424,0.5460439038981109,0.48687481462020166,0.6579223883486321,0.4593889688034172,0.5278091898750508,1.1974898396138194,0.3793152439863279,0.4704911714830173,0.4290953236428749,0.3427036458783323,0.5484450646257302,0.4519350755730284,0.4825154726500945,0.6535597815720546,0.9486452119736507,1.835630557302164],[1.8455600472211178,1.4684899035818526,0.7401283047742921,0.45974357372093544,0.5215849866154998,0.4964146734355063,0.4138180780180558,0.4440133375382082,0.3821754597955984,0.34406166503567637,0.379028003191469,0.46351392495088983,0.3799415814407208,0.3553667166661249,0.49185952057966364,0.44861389211507474,0.4637857096987129,0.49369187942800324,0.5523727612282104,0.4892152922792541,0.5605599150700015,0.7623140724525952,0.7655427445965293,0.8214391904683628,0.5968748026510392,0.6092690680905487,0.5059833242918781,0.45404964603845116,0.44765301207785935,0.47237645728344574,0.5381579170071001,0.5530995252876355,0.6101757887167721,0.5637477091872013,0.5106314846871983,0.4913031163693751,0.48672496566033474,0.47108795824424854,0.4181779250716585,0.38736153636528414,0.6363133644558588,0.5123156984868497,0.5324694731878564,0.5437241849737857,0.9373843555342917,1.5762115247925848,1.4464009954989736,0.6925811259589487,1.1045456155654747,1.142796820242343,0.7430855658605979,1.8020885115013732,1.017740761490573,0.935510427637076,1.7422312409068859,0.8258827881154669,1.3356612383166744,1.0250346825099343,1.4930614952491685,1.0603796176957043,0.6874719302283405,0.5952245512184328,0.5618741277588745,0.7391550527558858,0.5412215484809308,0.5482778664708854,0.7189007953817805,0.5751903745323865,0.7129274184591232,0.6116747139622681,0.8640280303208302,1.1510805468189549,0.8140407855970508,0.8991092631093863,0.5940278740710792,1.003215807823571,0.524325545091577,0.5544410188904093,0.5341840645202114,0.5770228244229264,0.5779959388466662,0.5795575010137324,0.994892655525227,0.49604149895583816,0.5995442359458045,0.48914949568013877,0.5183642834273561,0.5673641764941663,0.5163913563356225,0.6705115404293848,0.5655866242784026,0.7398157096288218,0.6260285899371598,0.552561172327028,0.5412910882204377,0.6140756955821601,0.5723310216521085,0.5411800072676624,0.5408737551503019,0.7106979862611658,0.5433555518299638,0.7495485294684797,0.5453625343478954,0.6186708433497842,0.6028261017111587,0.585167016406803,0.7028755647005456,0.5643159451906733,0.5880885338571742,0.6572459035532665,0.5078177153923921,0.4347098128977803,0.39257801759129735,0.4199754712029863,0.40653385807351944,0.40845562103557076,0.4312407640363134,0.6422690153125372,0.5367866601822845,0.5366224141922421,0.492551206862764,0.44128690202341436,0.41402864304067777,0.38524049016973794,0.3917653404334833,0.38442437867289325,0.47540571480066923,0.4240548737693513,0.44283255887840917,0.5096006417652913,0.4941733946305511,0.4936123460330619,0.504848573627372,0.53671660466751,0.5589195920326444,0.651746115720711,0.7563834402788754,0.6063492553190478,0.6079706093659134,0.47655428761944213,0.7879187796149054,0.6643987301295292,0.4727122449523135,0.43804941764505556,0.4141919142269576,0.41394680783231125,0.37053465713937744,0.42194440117497706,0.40568677232547523,0.4621641880158985,0.5135936200638713,0.5773689954257041,0.7825946014968332,1.4245522735001357,0.9614273006195618,0.6322009075840813,0.5534737514573329,0.559335634133017,0.4778731799006459,0.5263387382699988,0.503701562157449,0.40859166810248865,0.34554282588332474,0.3947713950866151,0.5249666104162252,0.6405329265887987,0.6623673918378645,1.0206282222442333,1.1284344680552685,1.1062768844838242,0.7407131276626397,0.6710026164788767,0.5049913550336661,0.44326006513991173,0.39424379460540565,0.4903894817996278,0.4830655999089218,0.7622300931076577,0.47508157734182377,0.5816446627755193,0.6628554216765538,0.47883503519570086,0.4840614185173565,0.4755821405655845,0.4646307068935389,0.4765520232143672,0.45562757927526165,0.6376455996831062,1.2935919683378865,0.7984730508014203,0.9780575469655797,0.6980228313161762,0.9348847647505056,0.8462901189639086,0.6168865958504349,0.6731397780675769,0.831975833921145,0.5749012043431557,0.5933235739459197,0.5674751243718295,0.7959461938001517,0.9507753527839853,0.710285146487844,0.8186152509860396,1.1604047996176114,1.2227070816227648,1.1348726028783773,1.1811216566366887,1.5914696749957395,1.4124480736583214,1.3216194323642532,1.6044069287629632,1.8172423912106512,1.6131359934115657,1.5978284854142424,1.3002608059118308,1.7744071381333448,1.1120652672451108,1.1834716733412864,1.4240239188548678,1.377939465214545,1.769215304769613,1.677756983228573,2.1599504787391735,1.5729926258994107,1.4883981543448177,1.4199694817823234,1.3126892912850812,1.1727363477064543,1.0323203435660717,1.1046060697904898,0.9592576067877071,1.0307048489187758,0.8283220616226101,1.0657271115461735,0.8834923497753622,0.8168973138484882,0.8817377176699441,0.6409822857007152,0.7639941733227654,0.9141932586034605,1.1771203129605712,1.351559159861028,1.5478753090150352,1.585132241969042,1.3505103800837444,1.5873806562336727,1.77763856672334,1.564114302547363,1.6225406697355158,1.9786032391578907,2.1031271417822093,1.8813083238739727,1.9701212036008802,2.222620694421614,2.283363881955087,2.002599175617608,2.056219125633114,1.830095117930622,1.7767916320092907,1.6099804458403013,1.5337746644695636,1.5768766586893905,1.363626812386498,1.2204430928954824,1.2266939463046276,1.197285806073608,0.9793056120315393,1.0216311694071434,1.1669872605629898,0.9753712206166731,0.8547636162299482,0.905609833069298,1.0437999405151808,1.0096278506800087,1.1703482747254645,1.1444435447630121,1.4252166590185347,1.129650866155577,0.9400988764941606,0.8776682717158271,0.8210454522130183,1.0036122428129983,1.047999854310371,1.2813623800990175,1.6833330891721767,0.8932111054169038,0.6450363096721206,0.5687783687124535,0.5312073617367076,0.758212590453712,0.49617756926926065,0.5343836693633871,1.2975041549692925,0.450756150942335,0.49252593374914516,0.44924060512459896,0.4133174138703114,0.6257798478071219,0.46035163162842835,0.4679528459279724,0.6385943088543091,0.9711427657508134,2.1259031228026926],[1.8372499896900414,1.5510791742852315,0.7018768113832445,0.47630478071237703,0.5050158682133103,0.4771561775061967,0.39046746916622627,0.416117584886238,0.3667075851337156,0.3439043309080229,0.4005607730213884,0.485023239084755,0.3761031434642787,0.3600850774594075,0.4809247984934132,0.43263113102810025,0.4426298516886905,0.4676253378123391,0.5079665861605365,0.45052715757942796,0.5139816606552269,0.7080630132619691,0.7268608573563533,0.76537559219971,0.5375165764065922,0.555946651790714,0.45521031871541795,0.42098083658990604,0.42598236239080656,0.44076032383521224,0.5321979217842424,0.5391865089157785,0.5744072346698308,0.545389640982664,0.4883847852080957,0.4624974456981018,0.45019215666246776,0.4326253941178047,0.3784512687976018,0.3553342027032972,0.5846374018447528,0.4628455580586168,0.46408505037435094,0.5006913585928634,0.886239070979322,1.553444161286518,1.4437295994382673,0.654251476448489,1.0933911032721386,1.1451157705689277,0.7458716473270661,1.797851422340113,1.0250651081484592,0.9170868392447583,1.6909561854897643,0.776425679767434,1.3545597235012383,0.9528267571479999,1.3941028648443448,1.125480744352666,0.6765233978427423,0.5608299175277194,0.5451475204792602,0.7104680209213392,0.5266932989770569,0.5276069257282184,0.7095808115891756,0.5579908761430581,0.7181325886703694,0.6105912443098531,0.8480966403280675,1.158099496076624,0.8456408099741995,0.8939069844817864,0.5903130251450384,1.0204940641724403,0.5116249920172055,0.5431263659497215,0.5227678442805098,0.5450614205354793,0.5373237987799044,0.5463313135508605,0.9485340203675962,0.487290015161209,0.5462679765609401,0.4440180022187535,0.46648645056137317,0.5305392759159788,0.4780365821449857,0.6403602661097016,0.5481190876547534,0.7362878901202146,0.6309855227321846,0.5526976910164138,0.5370605286909343,0.6237120686534332,0.5992795449764083,0.5322265762715012,0.5176384632221454,0.6483867939988167,0.5014517527962596,0.7297483968723351,0.5009204092994275,0.5952275208847174,0.5965193758152937,0.5572487381924258,0.6681139030198217,0.5413423272745042,0.5614708146561899,0.6351028972693668,0.48312844363869384,0.41825180139859003,0.3712495809142779,0.41075185437258505,0.38224006342405853,0.39689911323579813,0.4319590740950409,0.7149240054364223,0.5175335846807643,0.5139619916331964,0.4773443776076802,0.4231787514172995,0.4098942963624118,0.365804624858914,0.3658014310328279,0.372468425174211,0.4617633530580346,0.4091651807329526,0.426538297695618,0.49388586814726004,0.4860861824124171,0.47819038247923645,0.4963967920616563,0.5272107591553875,0.5556325733802763,0.6623092832809938,0.7754097087204761,0.6292593247801029,0.6301278147728676,0.46987111948882765,0.7117349062186838,0.6108751940319755,0.4252145220042494,0.3930018790127535,0.3921988525837554,0.39001243723529905,0.34781356407250025,0.3910108994074334,0.374876215579685,0.42671981938996983,0.4827669027201127,0.5416248097319747,0.7323387060845039,1.350995038747437,0.9237178527504948,0.5805056707178237,0.4993715019518761,0.5289790555830821,0.4432137677854409,0.4899408883474526,0.47840561080945826,0.381426716040253,0.33323354720934406,0.35931607574492996,0.5058589176880538,0.6254336166680916,0.6849062707015962,1.0414746457714723,1.1492431740915001,1.1271192269764103,0.7613181909692397,0.6859507434462925,0.5018465198299481,0.440627010866739,0.37043623837349643,0.4718978784525791,0.46676103127861013,0.747475293177206,0.46148203397285226,0.5536368116913192,0.6745936724834238,0.4551574179776094,0.46769181537752613,0.45230239178630727,0.441982738115495,0.45293082629656806,0.43154483212137434,0.6757540416945105,1.3398037958681823,0.8383529037608062,1.0013562699905219,0.7048387446064217,0.9525646172895594,0.8901389611447214,0.6248902969068869,0.6995366966592397,0.8391302225702918,0.5657550171578538,0.5813134798367716,0.5448237663952928,0.7639649560433208,0.9137302219570274,0.6943852110563264,0.801648153085348,1.1206794960227995,1.2057528300090499,1.145721810211422,1.1652554861962576,1.5367512615516319,1.4144059207820279,1.3156222654934584,1.5588409486198878,1.7812690234037245,1.615056844259636,1.5712114896915346,1.292263969435992,1.7147903971267642,1.0939520412749033,1.155030542665442,1.3638650490134798,1.3032221027092217,1.6489881322023743,1.5786775605728927,2.0856815892868044,1.5013636081503037,1.3977735238716105,1.3434457948696925,1.237256175423326,1.1064059284492724,0.984256267336848,1.050610693531194,0.9185276604406649,1.0009242067814799,0.7939448618576558,1.0462903039090536,0.8780060072659714,0.8210979519723943,0.8790485239534421,0.6273393770868433,0.7354885808476422,0.8695676045467916,1.1184615476192363,1.2791500273599643,1.4594376799327569,1.5086412427573332,1.285987980340368,1.4914845371138117,1.6810856141187709,1.505898125033659,1.5501887363016928,1.8701645724297093,2.0008215625778276,1.8056687634132669,1.8592258247629163,2.08414745556166,2.1797305675791954,1.8949946111985367,1.9212021020307166,1.7262439131080827,1.6653189888388227,1.51966467783146,1.4352672189998525,1.4807967261401571,1.3064063355688362,1.1564849322321065,1.1680070584060573,1.1584558813477566,0.9544389604403891,0.9856553267277295,1.1533848847110397,0.9792236605626171,0.8571883986627868,0.9110449069595337,1.0507063021164413,1.0179563972461398,1.1596088438670655,1.1548640397365293,1.4365728621633849,1.1111631600458316,0.9446548054685072,0.8882871451066213,0.8427047765974524,0.9914057469663229,1.021830918545015,1.259787484369714,1.663327001784722,0.8945980071344989,0.6360893713684829,0.5597203012264751,0.5206095004031154,0.7873464150327554,0.4927524776265916,0.5318027671791116,1.2273393516146958,0.4426500420250266,0.5064964111147359,0.4121424224991865,0.37362312033933653,0.6396278233657195,0.4678550183805775,0.4488448858782713,0.6168434543407734,0.872533672445248,1.772652418114954],[1.939223201547251,1.744262335709845,0.5871985641418269,0.5393318228749968,0.42682660488611085,0.37241283839173017,0.2838911084759436,0.3145133873305955,0.32156239213979265,0.29516634656205754,0.3364886831806016,0.4173139230225913,0.3229142690618738,0.321869384128659,0.40794233766882054,0.36647732179653636,0.43011591548999,0.454110387858411,0.5233450061782563,0.45429723618212925,0.5260311902126756,0.7117412016998218,0.7438181447910441,0.79908787433213,0.5669401025714319,0.5776017920091274,0.46461635597550266,0.4068368072995508,0.402359877224633,0.40236825360219564,0.4864435619882116,0.45948875796589256,0.5122177560060688,0.4856395046889918,0.42531184300745023,0.417872040854365,0.4077119228458302,0.4107448293221493,0.355710097170146,0.3657824174135765,0.622084964168798,0.5027064525651588,0.505961570282335,0.5731212626411547,1.0968110084181943,1.769445084022246,1.6938761355614056,0.7667526419195902,1.1654897374181696,1.3152394423787703,0.8195722312454113,2.104660408459259,1.1994678195702928,1.0496784829148578,1.6127402132622084,0.7169214024509705,1.3870166483253803,0.9936661363833873,1.3326520594654219,1.147568278747083,0.7306421692984815,0.5640851695803274,0.5299455520151645,0.7026934826918001,0.5203093282999202,0.5139434259583632,0.7017018305825206,0.5542899954179866,0.7239569227283574,0.6132255602966509,0.8576832324217262,1.1415544839806357,0.8181004245709003,0.9219071512931614,0.5829546504903774,0.9959254568691712,0.5147677184136754,0.5052740269454139,0.4754151208701895,0.5165815533015531,0.48692704568447176,0.5468588282180317,0.91082777008455,0.3840320131599991,0.5956573356428138,0.397540933313074,0.430614602632068,0.48593627481805735,0.44332481309084854,0.5845402498431931,0.5133402592899147,0.7325761096715637,0.6178035007009883,0.48364704809798115,0.47510041279275655,0.5736619973917639,0.5623203254063387,0.4804739198517017,0.459993436468238,0.6163993438309571,0.44138262316477767,0.6350291783754746,0.41354862933422537,0.4713820767753524,0.4987270884284127,0.46246259160550385,0.5558983760633869,0.4546655605305415,0.46732286224341646,0.6264619929781992,0.4045887853626518,0.3197613892557092,0.2822531263558812,0.347384443311555,0.3388319092797973,0.34006894415336086,0.39587897462633015,0.7027879012739154,0.5199489561016656,0.5111190312273832,0.478646323688987,0.42944106281786026,0.4306530465257415,0.3229168203597604,0.3074803461051009,0.2832892852864763,0.3609724608512963,0.3215364577312286,0.33407578081517614,0.42173927402380496,0.41409026023982765,0.37948666634067146,0.47571057094758196,0.47359062046028993,0.5436871015550054,0.6815652628483406,0.6952823048951311,0.6175448570035142,0.6583780908149083,0.5885460813390757,0.8590385914892651,0.7411954241017851,0.47527620458724673,0.40156392054239837,0.3660358585075333,0.35965572776758414,0.3110958331060266,0.354258142869752,0.31716218943888613,0.367857905858163,0.3979232025414573,0.475408115660974,0.6551804065238482,1.3706792028381727,0.9777426429437921,0.5062127779136251,0.4263611142349909,0.4232518545078459,0.36043301484286816,0.40197375153489195,0.44461783904384033,0.33970343699561145,0.34691270924679524,0.3409547646228148,0.46743002221462954,0.6823438915447387,0.6946372643784793,1.1040084195253426,1.1741628343757369,1.158884056182247,0.777000836394594,0.7228377686082033,0.5119293475331614,0.42948111567087605,0.3200962153157791,0.3719108490173593,0.3827634647434973,0.626448378958155,0.35031600130306745,0.4342308369171155,0.7357918289006398,0.3934108906716308,0.42465781690716947,0.3987114867105311,0.4111090288832482,0.46849964909316266,0.4669718518409606,0.6373300054443249,1.3831009353889403,0.8490140964013704,1.0492138380522869,0.7317728356208795,0.9835779714857475,0.8717194760284249,0.607310819873246,0.7060317209560141,0.766699866614238,0.4990550132998053,0.5033241915512631,0.4405935939979508,0.6145251847059953,0.7722574476205802,0.5974899195059861,0.7075092233802769,0.9946543749548794,1.1189291380725495,1.1191189774548964,1.0981052039073615,1.4185181931370106,1.3741735221310445,1.2873029588283573,1.49329166757593,1.713341920635064,1.608389701138718,1.5720700113450625,1.3044167487152276,1.6649420263800687,1.0373782442328199,1.0735936553715926,1.265521169184128,1.160487128187437,1.581479409546195,1.4535374110780663,1.9109569074306392,1.33346610737005,1.195046454218818,1.1344951743851186,1.0482307481031345,0.9387920474600888,0.8362145094468081,0.9193665395889384,0.7706911128248296,0.873632855558793,0.6852248454248718,1.020571111604964,0.839004467907878,0.794256590972176,0.8389851974084612,0.5523004071017261,0.6182149951682228,0.7102820530174714,0.925229811374952,1.0826691060396478,1.2588316939748583,1.3421543724012532,1.090809943763784,1.2982767281899525,1.5103241798227702,1.3487371726047757,1.3966090247118026,1.7061852765058567,1.8494284065527993,1.6698631003787887,1.7051349866358814,1.926124382066728,2.0445751351352435,1.7651201953939137,1.7754367149356474,1.5872661446418117,1.5019724013775753,1.3553742146759886,1.2665745999067357,1.3212613326102571,1.17841327796297,1.0077257301286398,1.0183365661801667,1.0306591099140836,0.8445784230657649,0.8574773713795047,1.031977280032711,0.9032179008721555,0.8042842301997599,0.8526018831801347,0.9867684659482814,0.9829218735802718,1.1026439021401702,1.1818311535523274,1.4184290221942166,1.0127021866747579,0.8721108044587306,0.8639423270795722,0.8713219203632454,0.880878957112091,0.8783013915139181,1.1681016105301425,1.6175098497026261,0.8626880843972804,0.5725254780064541,0.47336309790655545,0.4098445090629727,0.8214375709380735,0.403784626460518,0.45648786943009434,1.2047063118268857,0.37937008627387986,0.479430378049441,0.4404101764440733,0.3252342513111752,0.4815132247683302,0.5222567352924194,0.5132544801395912,0.5794903740141649,0.9574080686796116,1.9103595206213917],[2.0238855306255807,1.8659333173596826,0.528537804649935,0.5101988984475104,0.38109432017128597,0.31078985401363923,0.23678315816569628,0.27487125776935195,0.3277840534926192,0.2943467920439037,0.3255615002884433,0.42357395531306163,0.303972731623182,0.2954067924068359,0.36925840414389344,0.32364842845946906,0.3887461922457232,0.40493832643256056,0.49941782107575955,0.43560215878942443,0.5233781360621134,0.7157339334739646,0.7718924760968608,0.8379224507335952,0.6023851023594993,0.5878076658370656,0.45709100857664064,0.381167303167853,0.3666868410041227,0.3559964184998554,0.45156863824662624,0.41679867916634317,0.48244087760996934,0.4584942485695047,0.3776314613920133,0.37551095988080524,0.34771853205033953,0.38743525097759507,0.33601460964273655,0.35663364654100055,0.5962725768411214,0.4984519459173033,0.5041492119944135,0.6380548011285208,1.2302169944960522,1.942966023471517,1.92536491023917,0.9025734619114563,1.277803353749156,1.541383940211325,1.0099006263167583,2.3365373469843926,1.3605851341887403,1.171189966338702,1.5462095335920796,0.7046353419947202,1.4249103860808672,0.9843297351832215,1.1995516296207323,1.227026755955665,0.7592949628951944,0.5565896081309997,0.5104935252606053,0.7194739933060527,0.5272863052522547,0.49885169031317517,0.6681738050878973,0.5307750662631395,0.7066401646893261,0.5983978807083244,0.8098939310265427,1.080780658602864,0.7797840331399857,0.9055843210257835,0.5568848680004663,1.0316313409537905,0.49528180624061635,0.47811092162197383,0.45753803753336497,0.49234866197849264,0.42033889592899604,0.5304945787940315,0.8571878454798217,0.3887795338683014,0.5968023859563675,0.34422682118948766,0.3870317187106117,0.42881652405000714,0.4052936060204081,0.5431134011739438,0.4767512477295652,0.7075381668468216,0.5977408541584692,0.46075271100333165,0.4475596281026638,0.5577641993434006,0.5587060143181289,0.46845862228501467,0.4295299949974109,0.5835690794885852,0.4121809292955088,0.60087279100081,0.38529686715253886,0.422952489467766,0.5037006579693094,0.43000784600564396,0.502957148806203,0.41321775305695246,0.39022936483523185,0.6004498691892511,0.3551895889381642,0.2753698101019046,0.23932733070364068,0.29773817775247113,0.29094522700743947,0.3307421023471184,0.37486094735914693,0.6891972787337831,0.5433101455046271,0.4688901814122716,0.4401573332522887,0.3994293125921182,0.4420603256287175,0.2959266898441501,0.2483405612180269,0.25778527530884243,0.30794142684361364,0.2903570202996262,0.27487375164956035,0.3963429420112063,0.36527738233114354,0.3236198538717258,0.4725771678473001,0.45423214154135905,0.5416255358165492,0.6988962493093468,0.6735892860369257,0.5885128698410584,0.6227232601539926,0.6487657768161098,0.870986810331528,0.7660052385743157,0.4621957710704836,0.3824831648929016,0.3580263387465437,0.3394466690110404,0.2946083076936523,0.3189213577458908,0.2730267689135325,0.34606538399542003,0.38090146927424284,0.4536424381060747,0.6151329442667901,1.312181925270858,0.9858391614527571,0.4880442664666871,0.386164559622091,0.384409344411756,0.3306420307857585,0.3516946079486107,0.42749013961405435,0.3159502606360143,0.35248013311550386,0.32563423268653474,0.46729126024067436,0.7065890305609233,0.7429261368987559,1.2006031190816422,1.2265413329054247,1.1996633580542646,0.8051569511767555,0.7471804056585031,0.5159979265509456,0.4376273984038969,0.2912696523266122,0.34764678285271927,0.3688326466758364,0.5725111933351734,0.333141308785959,0.3935609314242023,0.7978211595983834,0.3730741897802481,0.42317102572053256,0.39983962352461955,0.41536956815182535,0.4808507448312269,0.4746583726471773,0.6972931885711877,1.4565303778979557,0.920996696361696,1.1483051488042726,0.7583266817882766,1.0254226912868665,0.9160869571090046,0.6387932037939862,0.7632266868583792,0.7116973970455566,0.4572312261983903,0.4548021285498781,0.3839883541448677,0.5241649323569681,0.6791298958332913,0.5385612872393962,0.6445944238120177,0.9095200034116718,1.069176919701266,1.0915740396921239,1.06099139827936,1.3566367992272463,1.387437277572608,1.3007425608142253,1.4814582777401704,1.7197243816230388,1.6331842729000863,1.6181750802822743,1.3478426241437822,1.6329932758413468,1.0064217010270384,1.0307932174253152,1.2134325675755506,1.0891037554682403,1.4420784232058506,1.3608733643640054,1.7763323618567106,1.2372150615384205,1.0579912030140575,0.9968475469810119,0.9144268269606994,0.8254556713567853,0.7408707078863969,0.8017824796158074,0.6998232131054886,0.8080009002740708,0.6140291843929239,0.9898275116550462,0.8873578585306019,0.802482698599163,0.8545727504377121,0.5080878242784079,0.5247732835775167,0.5854677202415403,0.797794799069203,0.9667104041974011,1.121904910352311,1.2393948514132482,0.9817360240583789,1.1556882613367208,1.3898793813035595,1.254996735598899,1.283847912680072,1.5788860044531208,1.7340049883770499,1.5844468706982244,1.5982694647582503,1.8119550086250487,1.978055645221474,1.699527099269084,1.6854607068756609,1.5012805586731766,1.3912850497600593,1.238262917206958,1.147735770576576,1.2135867329741283,1.10493010674554,0.9089522068461925,0.9311022136209242,0.9700001383906863,0.7777748871903419,0.7935895271910057,1.0016849031498074,0.8741597088123909,0.7813514224911614,0.8449243007166528,1.0068110646156228,0.9845534409093518,1.0939325422673882,1.2480124522256462,1.4161489325223302,0.9749350971215246,0.8426862396160317,0.8501194579488048,0.9651755885582802,0.8322963685203472,0.7594940498974827,1.0925972517484435,1.5751873102663883,0.9023785225830675,0.5216913415930303,0.4134426492878782,0.38995460499777834,0.8417104347446703,0.3677464712102583,0.4292460961943322,1.0935258335678886,0.3414720126850397,0.48173894487139196,0.38696017079045747,0.2662240780501866,0.44705973313666353,0.5075032932223059,0.49879506237859556,0.5415045531540982,0.9687100005659945,1.746308692745793],[1.8069725953396778,1.6823376204802831,0.4585924036706557,0.504887343518988,0.42204938545879567,0.34150963261322453,0.29705590299526113,0.32472461862055474,0.3630858118600044,0.314542742836497,0.3100929843316262,0.4149827639656125,0.30931312583117426,0.2822998838078843,0.34688960379840394,0.30113820617496156,0.37326345694729374,0.37826625272931136,0.4755954679908208,0.42744262364671504,0.4972314004334561,0.6873666784675908,0.7401221921094248,0.810268934179053,0.5967850870598503,0.5765110701747013,0.4570660120029688,0.3798272086492083,0.3612544481176136,0.34944020876725745,0.41541731181027797,0.3804065582634889,0.4329051499210892,0.41143703268482257,0.3454648258199189,0.3588382842726447,0.3405838336091522,0.3883448565965997,0.3729928147740229,0.40459860712392237,0.6211256445460452,0.5000227320013156,0.5143159640784828,0.6908075664850938,1.2738208473099695,1.9815143932724097,1.9465926986740147,0.9411216825929607,1.3098363417826986,1.572822046193279,1.0351318919891184,2.4567296428590537,1.4641009794913187,1.2454779897183526,1.5108229146748302,0.7481831706844839,1.4728757837783515,0.9909090784607568,1.1453146426037804,1.286477125958513,0.8083793383489535,0.574481105094176,0.5020645158237518,0.7085562743720224,0.5306434866554611,0.49199145975195363,0.647593345002662,0.5054343712265703,0.6823090701700081,0.5601594507624524,0.7762886225753274,1.0302296295650077,0.7385874447114905,0.8821549113042507,0.5151962485456344,0.9976870736449731,0.4772709568856109,0.45363763608062285,0.442455950141217,0.4860653226346316,0.4024823772551446,0.5502167541668224,0.8522590397733502,0.4238413711673202,0.6351451787909206,0.3622744143009792,0.38443323675206886,0.42686495323340085,0.393684922189194,0.5107916011439937,0.4359576446661548,0.672123633209905,0.5641485846615918,0.4141548112053204,0.3962982036523552,0.5091144371971186,0.5268042098468002,0.43841804761678377,0.4093685374211362,0.5683009745215012,0.398037344746522,0.5485979163599255,0.4046442301862028,0.4042629371892484,0.5398479566705482,0.43299068015870545,0.4823113931662523,0.4614685758223639,0.4142145833991971,0.6088098277638633,0.3812105797407477,0.33965351446063496,0.3044843808113243,0.3435365285103975,0.3106568907481281,0.3511469128508745,0.37903634412856124,0.72390762259906,0.5474256404162396,0.45214945523196615,0.4317683030556354,0.3863548359931041,0.4802019584503796,0.3177079701779979,0.29258974140710725,0.3301572065165934,0.34424187248626603,0.3450028625513515,0.3312235435473264,0.45375406179824296,0.3989228885717082,0.37833722422975175,0.5233078453717701,0.520628559319392,0.5768708851786408,0.7068591173420576,0.6208382996506888,0.5729772266512969,0.647822270082252,0.7242678021935409,0.9095768559563383,0.7941223836212508,0.4914655504508634,0.4084397438175025,0.3811372960194288,0.3682710266783339,0.33185355229912905,0.3373150237353461,0.3241189764662507,0.37016355499543757,0.4063460792341683,0.4746026776008169,0.6050003617011896,1.280248749103118,1.0154948658918712,0.47539324130598865,0.39334152434810543,0.3765225548385369,0.34689979829294576,0.36590864499848935,0.48158972415909906,0.35134907166886975,0.42649355457827026,0.376831494622464,0.5104285252425366,0.7350517330754593,0.7399864133831908,1.165503592039471,1.1661308922509457,1.159927841602129,0.7980547313529447,0.7595097410993489,0.5576768553190818,0.48744048869828266,0.36252951376574777,0.3639348704130717,0.3893349884230651,0.5380959562955838,0.37496132113736497,0.3930336013647887,0.8484149151820884,0.41933190794159153,0.47986869410348654,0.4654935695717954,0.49164875597467744,0.5511857305571746,0.5385188575110469,0.7373860881684152,1.4830125080623802,0.9550645217796326,1.1711465668846106,0.8079762259630932,1.0482364541316607,0.9175943077614405,0.6600963876588589,0.7791098154903019,0.6853294630761403,0.4771850550167734,0.46156717462267743,0.41268282520653315,0.45426243677454725,0.6077388205506915,0.5118745517943383,0.5750221201021017,0.7861992472591475,0.9661994650022493,1.0109957374228669,0.9398463295342592,1.1881711685461134,1.2520751324373682,1.157823455853264,1.3012723364606238,1.5383856686176658,1.4873588141689946,1.4471769103929442,1.190328359982016,1.439355677175583,0.8488766017529825,0.8706768721602044,1.0283006382859183,0.8908013171342101,1.398453427036472,1.168759719049533,1.5911826416526613,1.0798985372330063,0.8914160275677764,0.864694079829383,0.82052324562927,0.6775151990203452,0.625357685315665,0.708685324200562,0.6345488583539003,0.7119109751823128,0.542638481177236,1.0543345916493947,0.8496625895960264,0.7861596690069869,0.8662367043323602,0.49099366259830574,0.4888917237119796,0.5237221907825744,0.7023423684913627,0.8978746640135756,1.042545367504869,1.1932059278280656,0.8912232329947486,1.0165202979207748,1.288413803244838,1.1624989249995101,1.1459414282043352,1.4122919732586892,1.5655079984868459,1.4126319092345565,1.4061660381031234,1.5963954497992812,1.7669429985328113,1.489712075549077,1.460313208560083,1.2906213231461978,1.1896575433432768,1.0666151166550781,0.9794408276337848,1.0186505300433248,0.9380104211388146,0.7579941917420392,0.7650643117395599,0.8126124449236577,0.6612481735731103,0.6724290755124412,0.8662918426790969,0.7836662582072159,0.7309760019175654,0.7873274026497856,0.9577754628493388,0.9313615137693405,1.0160424805199493,1.3126449492282513,1.4908671713655464,0.8636972906993934,0.7782633947679526,0.7441370926610072,0.8537303722633056,0.8292712775909513,0.7100372233858079,1.0347364844999452,1.5264605528850979,0.9606050294429187,0.5839444941100828,0.4141926367059892,0.4219914213092439,0.8721153384120169,0.3683920536070973,0.4151488603401866,1.089024633929595,0.3919928677074646,0.4978414855533334,0.43867120325089676,0.3412267707313676,0.4938381525024329,0.5321160816236825,0.5612239978029786,0.5577640731843984,1.1809587259098369,1.8570185000065944],[1.8756522624744143,1.7169607431656921,0.4505690008890084,0.4179629734847875,0.4977311177089408,0.3157894050809539,0.300680539504412,0.3156627409483143,0.3595128433996028,0.34982272781631296,0.36099933365295517,0.44417113511245526,0.36351932114916674,0.35208596931240693,0.44596972681636105,0.36860786952578556,0.42528267864151026,0.41758824303357445,0.5023087352576088,0.4866224297038637,0.5531361056269435,0.7367376117255916,0.819389157600029,0.9047569130595536,0.6852573613758748,0.6387223172896501,0.542436581598576,0.44383936615141967,0.42473859320935065,0.40684106070497,0.46420726647628185,0.4152749850025323,0.46760367252883295,0.47323884458185983,0.38692525910767755,0.4236742873519005,0.4140583595304954,0.4597428352871059,0.4601632511842539,0.5127404695986967,0.645737142670549,0.5929414928063724,0.6163113480243277,0.8718245790066167,1.503534405267177,2.237009992351983,2.305106483869983,1.2143871907467458,1.5217242205873696,1.9040677202779106,1.3417268041816295,2.7544944788674925,1.686245778859304,1.4284939186627332,1.4862778189943804,0.8840837426655099,1.5255222653778018,1.0541532094544996,1.0781759196098697,1.4692359034898266,0.9293397242030553,0.6644887742432279,0.5681457480729935,0.7524223711092597,0.6066352813612838,0.5401541580391667,0.6547844735882308,0.5506621417520072,0.7092170540192024,0.601274132285944,0.7806806250128763,1.0557930821207215,0.7697970228103962,0.940387910909614,0.5733271052465209,1.045694847950654,0.5575002439671007,0.5245311141870418,0.49608121085396756,0.5473846895917941,0.46211601160136917,0.6375263074502303,0.8339302321617612,0.49550038188750606,0.7385202689759363,0.42480110493834394,0.4598521284508757,0.5074898386110658,0.45408727830293283,0.5649109134475468,0.5138559876394387,0.7316015862605345,0.6544250280800817,0.5000635762630924,0.46636944699558114,0.5887098900400805,0.6004238864633065,0.5016481010045761,0.45935231843226815,0.5894753795347187,0.4378088904260094,0.5494959202185304,0.44434522455906506,0.40632957621427096,0.5252941338584397,0.43470547953329997,0.43980381037745797,0.4489088721204743,0.3808032554814076,0.5175667815431919,0.32766358253424516,0.3467438884248272,0.30798055787322715,0.3850438484620572,0.3682448719406667,0.3996407024512664,0.4288921682189868,0.6750726922246048,0.5812920899951913,0.46532523845107876,0.46609308359526586,0.43179862526720986,0.5136609931386441,0.3587079745904637,0.34964654850300264,0.379261152245575,0.3129628443276234,0.3493389048241175,0.33566342374882024,0.43104091196202754,0.4077148076231866,0.40330887113142333,0.5149817891977544,0.4783933990193816,0.542367961889598,0.6592866483079972,0.5475502324649127,0.5194674938880532,0.6016360061068872,0.8033148766317588,1.0082247410282108,0.9154889479950368,0.5655796135937852,0.5002432197633494,0.47481208767807764,0.4490103936864201,0.40483382858339156,0.38821635272811494,0.3606613499450103,0.3962492422260147,0.4022595692308422,0.4666393037155887,0.5766871155491199,1.2160457189899943,1.016716831568756,0.47332042303240646,0.4166195625280126,0.3877084944143616,0.3899156317939739,0.3819590582756483,0.5328624773980575,0.4002000303516126,0.472317324065791,0.4609540886199277,0.55541398639052,0.768611506546638,0.7648198499946182,1.2322924207351198,1.161412218126941,1.1207048222774056,0.7650219650577478,0.7337704905394131,0.5569836838853758,0.5024949779385858,0.4225310741054698,0.37882917855706527,0.43071940379937684,0.5313532352694611,0.43028248930128926,0.39804557477159824,0.9055556161937203,0.42463897816092216,0.5003107371527687,0.5007353496153926,0.529646626373008,0.6187854144442569,0.6099419633167317,0.8117136620115482,1.5447381684334687,1.0439674384316175,1.249663323292826,0.8731045330806827,1.0895669871908298,0.932729158685247,0.7054087185661267,0.8671740403565088,0.651869676228094,0.5400247364108339,0.5350138080966758,0.4808733850909306,0.41039368901216283,0.46294662062559244,0.4110871031204315,0.4893820489333496,0.6233897535181689,0.8221791889917671,0.9019601723633259,0.825439933696741,1.037656259317227,1.1683928232941947,1.0908257819878242,1.214544274146759,1.4635065425904754,1.4365590339654772,1.424231732834128,1.1780286212292779,1.3630566110932858,0.810939485801104,0.7907709748135774,0.9165089833722088,0.7762015022434225,1.2712298323555777,1.0372937183658149,1.4363068562070502,0.9637952775194973,0.7236348020965866,0.7082958007774387,0.7218846090771992,0.6369854480869929,0.5908120299024501,0.6359024059476627,0.7286420089968194,0.770666252532264,0.6174184679114456,1.1796914000309913,1.059580458029982,0.9128220077749389,1.0452290200984595,0.5808314353990168,0.4708944655384057,0.47926182171879866,0.5652412119527114,0.7549166145935301,0.9025966461510238,1.0829324110317782,0.7579587342188204,0.8099922201415942,1.0900067945271597,0.995856424296489,0.9397253031958495,1.204540264464419,1.3760130718163253,1.2422018678682056,1.2188429300952361,1.4229167928111937,1.6497609787529468,1.353315775569718,1.301182615847049,1.1315864729591678,0.994378713728174,0.8642555584788666,0.7876147592941765,0.8478253193046937,0.7960747454726214,0.608390088455296,0.6637199885308271,0.7316521893372286,0.6138393447398415,0.6748548980536502,0.8898692677006184,0.7997982660558681,0.8054455838472874,0.8798048677034985,1.0584294968223258,0.9985142794741068,1.0415822747879662,1.4836398873030787,1.5634387740109605,0.8669374793614055,0.790944378390046,0.7115172417835839,0.89786794524083,0.8824693592615405,0.6818255258500541,1.0334566390371942,1.5519919219161982,1.1428826562896344,0.6501438024235432,0.43870550130079244,0.4277930074480506,0.8086955454796355,0.4114215450109253,0.47881047852103326,0.973924079563469,0.4376207285069588,0.5543911580978322,0.4220008999473784,0.32231168607941657,0.45458755845817955,0.514094510639853,0.5136510643413127,0.5430330009120388,1.1906201644626828,1.7828116496556479],[1.7582105830153234,1.6027923149001342,0.4873208513409837,0.47822781785796176,0.4691831807282315,0.36820850257358595,0.3937218655899882,0.41661168599546733,0.4618638400770476,0.48094396749147006,0.531460493168179,0.587494542854408,0.5094726702243334,0.5212334237273216,0.6365034717964935,0.5270206081444839,0.5480176468516162,0.5080623072328874,0.5551050575352391,0.5421850883053333,0.5965963208950005,0.7643099325502817,0.8502830037660838,0.9462448347957702,0.7216305305770719,0.6812505217127859,0.6090606830465038,0.5104075253409096,0.510170186079943,0.5336374003985364,0.5836121370062047,0.5571556071912791,0.6149925518417917,0.6209690268351772,0.5155542831442181,0.5256646670300245,0.5251913575956724,0.5354895632233352,0.5317296985357073,0.5705619822982986,0.6940103945249436,0.6404639680888465,0.6650442517623153,0.9367657411905222,1.5685041090259615,2.2881334112498743,2.310867617462371,1.2308553462740548,1.5350827252997274,1.8547706553805257,1.2615094988116515,2.837827263772755,1.7806107056747245,1.4718680643244832,1.4008749869988462,0.9274557734091087,1.572550912599787,1.0538390849832293,1.085366498930104,1.4810558420489706,0.966241356311033,0.7121944220963379,0.6408217664831447,0.8152557791589203,0.6576595230096589,0.6026755716652168,0.6958276051944239,0.6121814350044577,0.7531096928375438,0.6652750819653205,0.7985155024794579,1.0632136372021248,0.8072936217282547,0.9674669665982472,0.653372686844606,1.1208869386157423,0.6473803695282788,0.6354441171523594,0.6033329349496909,0.6316179961413431,0.5572155937860505,0.6923277346470952,0.9195681026232627,0.5712005059258208,0.7971192529291365,0.5111026666283065,0.5341744016564345,0.6024440344867489,0.5600065830046103,0.6626363700701796,0.6236628848101003,0.8023468581448672,0.7583850947528697,0.6594048307018735,0.6225219749567606,0.7458003390393493,0.7549126011445705,0.6659835593124459,0.6302487387898181,0.7390068381727316,0.6017489686300075,0.6254088934312604,0.5981655596033603,0.4829112386356082,0.6093181396299999,0.4789338993343306,0.5067783400214301,0.49302470180254027,0.4384847449152785,0.6377261746839197,0.4161671925013153,0.41702934223278604,0.3954935370053028,0.4061424307261415,0.4555813739240085,0.46647889585566715,0.507087033230362,0.7034452644881907,0.660655467249345,0.5456588929705759,0.5408660359540592,0.5352975816563796,0.6220221868514121,0.40642297181365916,0.3734378138064704,0.39439200939271446,0.36683699068160586,0.39557722081193314,0.38715372476386206,0.5223735869625952,0.4574864843718674,0.45317475593243883,0.5765414835291468,0.5962152418300446,0.6058049079539503,0.6832247130575375,0.5493511523278347,0.5118382127904153,0.6023947966741959,0.8710868288729857,1.0626983773953584,0.9495050028510431,0.64307915577457,0.5567587495883464,0.530810195382305,0.5303825433906509,0.4895452188033988,0.48878599932000444,0.45166976648552115,0.4703181327209344,0.4769136271609735,0.5621454141562056,0.643675527727761,1.298097126840532,1.1395788407962488,0.6021694031530327,0.5604275460312774,0.48578460102811866,0.507833742106877,0.45557816473025275,0.6077806616237461,0.5033129882043869,0.5635908806760184,0.5372107344082364,0.5958770112700864,0.8076216552231341,0.7518006559350823,1.1634955621495824,1.0643321883153583,1.049835579576242,0.7591746679016089,0.738094082240674,0.6208814402342653,0.5841790626283098,0.5130797062767083,0.48315442942129333,0.5427637611722076,0.6362408258271406,0.5329306747741847,0.5097856229780113,0.9475501457131505,0.5084001264273842,0.5997818913497376,0.5675473569585673,0.5947164211196361,0.6994522379793398,0.6963908562151288,0.8688294937482658,1.5468091569443034,1.0640999376787703,1.2618983060591158,0.9108096030467404,1.103837524690347,0.943715478134453,0.7463428824838341,0.8791909542182946,0.6774196739366029,0.5811311094462208,0.5429498277932147,0.50018794307456,0.4182236759677591,0.5203335480349092,0.47199617691588697,0.48817704180133753,0.6363790552116896,0.8501321555827613,0.8916804709625121,0.8071238128745432,1.0231485369461424,1.1463493459976948,1.0596348570245577,1.1724967559955308,1.4173153447432245,1.4086630925967023,1.38022536511699,1.130005765159522,1.3125870110694817,0.757926904735933,0.7419586707338427,0.8624725104475011,0.7199854825378043,1.3159292452970008,1.0099848676095438,1.3471657309140577,0.8927284023902312,0.6970174455242858,0.7188088702141139,0.7727541025978624,0.6055629861041235,0.557086903209497,0.6642344556264925,0.7255456988331449,0.7281420446380975,0.5946668047394873,1.1962926934582168,0.9641514586543045,0.8519704225740223,0.9387496760189074,0.5574980870286098,0.5330503051730295,0.5445248896942577,0.6159715046627791,0.8537925073485431,0.9719921399540078,1.1488267392139733,0.8077994016314035,0.8594040883235772,1.1759086238192904,1.0410596874687188,0.9702827494237926,1.2318062427334693,1.393929767276396,1.2396844127442004,1.2194644415308515,1.4122625669646545,1.6073997431539733,1.318799816549669,1.2698367555888956,1.1012521241586957,0.9809497477788224,0.8742904491323015,0.7905866025142134,0.815402498177631,0.7671567468893072,0.579967209073215,0.605568740885036,0.6812732321840446,0.5763654631376427,0.6127298995584094,0.8135634988851722,0.7428509514959231,0.7419158562699107,0.8089932635289433,0.969580137750122,0.9331337255918066,0.9477694514349011,1.4746300274829074,1.5583680416564671,0.8185615862007894,0.7567446115688791,0.6879005646212348,0.8424297568964703,0.8965285628719626,0.644832606655885,0.9270778728867688,1.4294217311983366,1.0791831500104812,0.6450309794802906,0.45907047585464233,0.4760288870425248,0.8929314662340861,0.4612463176412705,0.4845315306586565,1.0503205537777986,0.48141756942441194,0.5392387780789166,0.49668219364799854,0.43598848305332993,0.4999667949702843,0.5461560763510711,0.6196342446062181,0.6301640798505473,1.3604912396018627,2.0115520426138924],[2.0231561735408587,1.8298962410334927,0.6345163075671464,0.6551597102557556,0.5815278037397156,0.46595578497357554,0.4939002386515102,0.4953932997803246,0.5112437443496045,0.5781548873939032,0.6068060368714646,0.6639628340721617,0.6693885873621581,0.6773164380343702,0.8503089161334398,0.7522593084472576,0.8055807960882709,0.8180032270562737,0.8812800428912286,0.8635649495860293,0.9422801074370579,1.0515701327287512,1.145313077791375,1.256690468334139,0.9973240058774379,0.9525137597930923,0.8840360092838312,0.7989646604857513,0.8002290713354105,0.8056229646500944,0.8598988061794414,0.7782102673130449,0.8562207883590585,0.9046118376277924,0.7973646148301909,0.8199909605657056,0.7868756800146579,0.8272756982019489,0.8125821347087857,0.854441808294353,0.9064141698911561,0.9441608156237927,0.9958727899416694,1.2837381637985683,1.9508640957013827,2.704501164961077,2.8075911344668807,1.6339671760288716,1.8572854971947443,2.2570691799603115,1.631729359513525,3.1864631513456785,2.1128479819388835,1.7336149610275173,1.4826999959856648,1.220285647401536,1.6785711738290576,1.2557863710431967,1.2773916029573191,1.7278425836806917,1.2450301883550472,1.0291399439408055,0.9968465604780528,1.1380812284061996,1.0379836963653088,0.9509797282098511,1.035150510144927,0.9508148806438422,1.0731180233632232,1.012751566201569,1.0981854377601965,1.3859511789550132,1.1619122705002183,1.3007885853816639,1.012510711763328,1.4568174444317727,0.9842707718500043,0.9706981948525152,0.9282246595416368,0.9492206036916009,0.8773614827982605,0.9461128271072545,1.074307182304875,0.8248755920619939,1.0011521014960416,0.7708595862021302,0.848201978519311,0.8773004648960314,0.8784252710880337,0.9416214399615896,0.9347794260638665,1.0677221165534552,1.062090897489643,0.9243485935436017,0.8617477600919689,0.9761213636513159,0.9319395387613638,0.845053566222193,0.7610118744674557,0.8287328518357376,0.7538272472132483,0.7207134128309058,0.7758046954669083,0.6257612496590143,0.7758842867013106,0.6342783881423529,0.6323422634478089,0.6524068116878639,0.5854631293258673,0.7270652533463874,0.5373256401325353,0.5888937400143434,0.5368937037389143,0.5882513409737178,0.6486838341614515,0.6700719924616436,0.7623635424523826,0.8481643065214414,0.9432346808334078,0.8624248985071449,0.8581870689379922,0.7702414879783007,0.7832834992648606,0.5891508430831169,0.5451681992640556,0.6004284805717458,0.5258370608864071,0.5780678310185466,0.5652352261638275,0.6995866168855903,0.6421970871509978,0.6532846614743386,0.7714283768799356,0.7717815012975209,0.7911423870526028,0.843139069914027,0.7387962638594109,0.7165090894009919,0.7527235386953708,1.0708184079975982,1.229868583708624,1.166564053051401,0.879580694216101,0.7985006820775764,0.7968164851831462,0.7721150498625752,0.721279067163228,0.6706531553816317,0.6248590731249645,0.6091936441354153,0.5784713548539056,0.6385484110005059,0.710322224947098,1.3525344691890369,1.1925525830442072,0.6819280229224106,0.6660655704660687,0.6016011052285991,0.6676233640850286,0.6266247916439154,0.8010652392274982,0.7328299482394973,0.7953583483741095,0.791612833113131,0.8481365883956556,0.9892289269105496,0.9615443579294448,1.353786318743485,1.218161857222465,1.1676587668899752,0.9336462474082788,0.9145139834831961,0.831192157686544,0.7876456944550686,0.7347038893838526,0.6887438839162179,0.7589980955851641,0.82805361614086,0.7756256383827387,0.7263188439829518,1.1240824711425355,0.7008796240714462,0.7957419625663181,0.7883988042962448,0.817787139456243,0.9606391031716445,0.9548592957986003,1.1296164597844736,1.737398607341629,1.3007437640039288,1.456216475454913,1.131798752310497,1.2690367879279836,1.115904661663573,0.9911342204432851,1.101588905129732,0.8400975970349445,0.7533082434328059,0.7085076667133073,0.6416069225559967,0.5652187655762602,0.6216319272430759,0.5861851026652913,0.6182110444870205,0.7200164859463661,0.9093334143813986,0.975982565665687,0.9074385695499173,1.080855312900138,1.2261223004251554,1.1623491995875699,1.2677852209116098,1.4991823574275411,1.4976323208886604,1.5005594726599993,1.282477809064503,1.409827623119264,0.9322047076897296,0.8753423464291649,0.9687884585660692,0.8627799583192084,1.3330920209836166,1.1144092967930936,1.3415624744869166,0.9812295563937329,0.791721593473509,0.7841353814656852,0.8519803547745514,0.7499072972049833,0.6966481975298692,0.7667418062661793,0.9107244068515254,0.906232217121805,0.7674282077450999,1.3108490450475336,1.1615788367959174,1.0323867459245881,1.1084324421143081,0.7333593240802002,0.6847860269800726,0.684263413945647,0.6907271792426323,0.9318423622094886,1.0414562622528973,1.2134551625798067,0.8927693803875452,0.9196393437717795,1.2106610096225847,1.091463425707782,1.004995693620282,1.2596387176702952,1.4296087057554914,1.281127678338945,1.2611716431039448,1.4564243628732534,1.665863504126884,1.38091638145547,1.3273947829101362,1.159589976366593,1.026976852357081,0.9250182722159672,0.847911106335527,0.8892022619723188,0.855159218788945,0.6810634220003512,0.7383060833146474,0.8138064548743024,0.7205359148971084,0.7809973128579255,0.9751940858192885,0.9001061778464653,0.914688145495497,0.9770802631773683,1.1485628579861593,1.0951079239129842,1.0792758525456176,1.5974036269351666,1.6265237207651286,0.9739401056207229,0.9330454849717201,0.8474962149789087,1.014777475847629,1.063882230319537,0.7671816604509919,1.035478043130467,1.4496534505029095,1.177327861546447,0.7230119378004206,0.5984264736716333,0.5888201214595298,0.9747038243307353,0.5733088964219308,0.573417733933275,1.0964947775875309,0.5538611640911218,0.6246797751161474,0.5669112218631915,0.4994665002810946,0.5634716036100299,0.6464028343146724,0.6578742799236483,0.6586970209102878,1.287634796279623,2.0348577810167945],[1.7371337006624354,1.5780648630286565,0.8999113540494698,0.8101386318574977,0.9692188171478473,0.876460648090932,0.993840148785493,1.1317293200122476,1.1107773403189765,1.2786940328049177,1.3760348880572815,1.4461614980196538,1.5476552934989547,1.5153953801006486,1.7832331157626664,1.7273238855265243,1.6969995504392532,1.7416327699439,1.623563064918969,1.6224613831583838,1.560880328749283,1.5792376556758765,1.5449940892589653,1.5466883787953352,1.4568300847207774,1.4702215580046154,1.504113674974384,1.5439967777253754,1.6578238251231538,1.7252661512771248,1.826576700779522,1.7354736600500356,1.84598362081949,1.869448383126629,1.7596615516863363,1.7291987871070273,1.6893481923441858,1.6389697428890875,1.529037837545146,1.5206508452284135,1.4574156156255595,1.5687793062884332,1.6164008928085203,1.8290962421895702,2.304852238122343,2.9514497023110344,3.0211717044490176,2.0429735126820217,2.2650338379397192,2.513328259051912,2.024844586490047,3.557994029210171,2.583190382620337,2.2465657087489195,1.911539053043092,1.759024352113291,1.997600873649156,1.8427192008073674,1.882247840304067,2.143252375119582,1.8192506346491928,1.7231644610489296,1.7482256472855076,1.74170394643439,1.6667619483967389,1.6591213816980723,1.709086739737658,1.7751024969018492,1.838056223493156,1.8695017324987249,1.8914884476252631,2.116233344560661,1.9381725128743117,1.9201550121759565,1.8721423512651292,2.1806097319065647,1.81084878948883,1.8417414428155339,1.7972858256119149,1.7214066389490443,1.7148531402142282,1.6827672936654552,1.7691029515179004,1.5606935257102346,1.6391596515727984,1.590651667805088,1.6392821878327866,1.7359394258860998,1.7322193936012145,1.8309453162999905,1.8524861413976919,1.9499460988013526,2.006318859955599,1.9033694983380929,1.8338089478531903,1.9100837012760383,1.833093526858833,1.7711766763444245,1.6472254510470836,1.6342930740165464,1.6841927447828373,1.535304816388018,1.654940178975785,1.4555661292457578,1.5141974564450744,1.3566840849207185,1.3204792365726872,1.2583747435971788,1.152017943998968,1.2597030746771352,1.1518312947108615,1.2562819646692067,1.2084609722057291,1.2237020378175807,1.3605703729210044,1.2904395815046854,1.4869207527045278,1.3996605706738086,1.4974595755630653,1.691814768958151,1.6586463687338457,1.539442919235269,1.258130939071931,1.1258979759290304,1.0531525513399596,1.1066919324390454,1.024670524108951,1.139159496516563,1.14809938746014,1.2593185232946638,1.1310761926585458,1.173058378405567,1.22979740054005,1.3040203580216703,1.2408502682511298,1.2601753967222205,1.1222859900292579,1.146125596594559,1.1436191466917534,1.3977554397821588,1.5195379902677912,1.4456406448100336,1.3224581160899092,1.3629210629646666,1.4131741605400854,1.5125354728822238,1.4397930444819458,1.4336311482578517,1.3907479614302174,1.3527505683161922,1.2883110913132207,1.3047095166732234,1.3904375548367036,1.7380470610186614,1.6894179924261363,1.4799509529491515,1.4915333326396971,1.4122215415370032,1.523565414225359,1.4101849122629708,1.4541108833843428,1.4861509343553176,1.3820678512439304,1.4453619873036965,1.370807820126144,1.329664610309836,1.2976695021803428,1.5091915328815293,1.3714760990459995,1.3379620750139143,1.2408625774657616,1.2802709137135229,1.3539407099750116,1.4138941364171314,1.4785078454964689,1.4854734697426113,1.6210087084403846,1.6897022526563765,1.5986627225492067,1.5279697899024018,1.6120092070062735,1.371380241202951,1.3894601895678371,1.355720284773501,1.3612156994068474,1.4535511994022134,1.4808658975106586,1.528468927436732,1.9450385024531718,1.6108779404956575,1.6836577745218644,1.5651760107117223,1.614798541255273,1.429612697560384,1.3049804154302558,1.33502631460098,1.1949908989863685,1.169647234738464,1.1189978467924677,1.1368529678093873,1.0643999672924933,1.1192368328521332,1.0822395527360846,1.016110104853946,1.0688890288379926,1.1875671866211819,1.1558101232018319,1.0889870020465169,1.247189373748154,1.3117528170062036,1.2224023408154947,1.2958846034986664,1.5062486454958708,1.4719591339945983,1.4442808022398668,1.2516374906351417,1.4267258943224903,1.0330261750438066,1.0013321540885332,1.0576044124098998,1.000486116701946,1.6058528546426782,1.198368369425597,1.464091573046049,1.1923235705218693,1.1225855172801158,1.1581118194021471,1.2446030601043307,1.142129790924557,1.107240740535885,1.1088401903445875,1.2888486050981054,1.242945227975421,1.1397367202418336,1.591898942493185,1.439114630148287,1.2789166160501448,1.4101643573144393,1.1092966750748114,1.15801393287177,1.1543405025567042,1.1400222073306774,1.3460569191862242,1.4900099680172492,1.6156258079141337,1.3206763107719304,1.3412254768276606,1.6163623175525343,1.473100731278625,1.3234635610154992,1.512185808219947,1.641531882230826,1.4657804334972095,1.443950655387068,1.6021871995140824,1.754127275318956,1.4438992706939435,1.4060343455692832,1.2845778813879012,1.236842775534388,1.2112057878299927,1.149498276425546,1.105797464762683,1.078389520408878,1.0494832590274656,1.0254636591925848,1.0322771996442879,1.0389755991568954,1.1096597229168126,1.1838189764759686,1.1441939606518887,1.1671169369307814,1.2002329655164956,1.3295666597848035,1.2987236107087228,1.2619626390049006,1.8067079041507614,1.8208668893129598,1.1036021587983753,1.0392300432064743,0.9799765695670734,1.0726840341377846,1.1343073323299413,0.9885007968986014,1.245777368600884,1.6119420855962154,1.4380952916625422,1.1307654456184335,1.046922046069187,1.0760458634171766,1.25524797476533,1.1123987919041944,1.0692379809030563,1.5377351502281462,1.0313826800235586,0.9812194692351074,0.9763811216267113,0.9719079191540192,0.9224692117697151,0.865840693824509,0.9499027929092096,1.0046197387015183,1.6852558596737344,2.3160797735453684],[1.726695351418796,1.603910277069497,0.8001206085136565,0.706734728538251,0.8567465052702192,0.7921932007434087,0.8482949470375596,0.9459656758137234,0.927450647908426,0.9905077691031422,1.0387583503566142,1.0812288748813526,1.0899458864589608,1.0771560188058051,1.164330359750591,1.0978979190785134,1.0996190714936365,1.0144965217162036,0.98720360911046,0.9873619646928035,1.0163068988403965,1.1353462498045381,1.1660143893643569,1.2986130831159188,1.0907918873772826,1.0629383067803388,1.0496150734758154,1.015532474669067,1.0347209700296227,1.116302111224401,1.0878217041866722,1.1086569354385152,1.1742938249312904,1.1373170622854074,1.0459080073793618,1.0268721741115012,1.069281245805682,1.0376313695272124,1.0353828280221493,1.064024677396219,1.0647077905295514,1.071290915128809,1.104463505883752,1.2596101875728016,1.8055325606516321,2.474408865744839,2.4613865935878567,1.4519439478457992,1.7148470725530836,1.9424913014292868,1.3897326097172455,2.9364960010669066,1.9581463738918918,1.627790270042321,1.6171315240496313,1.2023140804148573,1.6277984695891876,1.2743093827294867,1.40511107759511,1.6139551110932246,1.215526758432042,1.0169462644924983,1.0198401424359689,1.123403779453139,1.019968797687419,1.0001428172039604,1.0258092869886106,1.0100960866691204,1.0752798502251222,1.0812513139694246,1.069226370590408,1.3052303270768564,1.1396693538321,1.2546596293346617,1.0445240344232787,1.4291594304030457,1.0375747579308563,1.0510325095194428,1.0484330435040998,1.0692855009747695,1.078605753073744,1.0875971008141636,1.2984979047919538,1.076451500835318,1.2206901759894262,1.042513553500746,1.0437351252867584,1.0928413300673208,1.0357737547925174,1.1133701106295468,1.065555244474007,1.1680370422528579,1.200036208847608,1.1253339347987,1.1253263760248695,1.218490392402437,1.2297059225909903,1.1742692418310614,1.1348282586072456,1.19762508134373,1.1439971680396563,1.1074451503593055,1.1580084241748354,1.07924869716681,1.0830619322245814,1.0391426271021413,1.0427844061673992,0.9825570792079236,0.9276964663354131,1.0302463180635366,0.9129964834746022,0.9812003961725202,0.9586861880263525,0.9488018177185337,0.9954226171863578,0.9642132805623398,1.024561866939213,1.0675385943368343,0.9958303277471476,1.0352289649637072,1.0317152758886687,1.0763104051224976,1.0069720197400513,0.8651053724843808,0.8397262083226095,0.8613408407294904,0.8304427488992323,0.9067565715362534,0.9258808962409546,0.9874379620200652,0.912780541896924,0.9350508699568123,0.9713884649323944,1.00357979318934,0.9781125851848247,0.9889489145738026,0.9151162985477967,0.929145376244992,0.9619041317647676,1.1356161892903143,1.328155361491263,1.2400724037353372,1.033317128883355,1.0496677620641917,1.0321617377732044,1.0371203338392498,1.0216694651794558,1.0255350698382169,1.010906936795153,1.0395831736338224,1.0235535127116984,1.0594401563222708,1.1032791159415654,1.611493027702607,1.4294839766636613,1.097314188128376,1.101473891682132,1.0481360648230174,1.0802062131637056,1.0406444816182265,1.0899705791139738,1.0332346519173548,1.0096428943520992,1.043471484236717,1.0133159249606352,1.0853830673588434,1.0125879685175423,1.2943746880469145,1.1893508923524416,1.1845373306423828,1.018550522710402,1.0194502069579177,0.9967190609580878,1.0030257055155247,1.0205713233319749,1.0365578937228377,1.1171183237744897,1.2095496176093983,1.0653492172532164,1.036252803504672,1.212946560544523,0.9976735859424102,1.0254142185372983,1.000601843788507,1.0119555724198204,1.0543200694661088,1.040335235061748,1.1258707003231896,1.643661177508675,1.271739269337464,1.4317567835448695,1.1740818922424554,1.3016335834226498,1.122442285629629,1.0130340091168466,1.099938924529312,1.004419119651012,0.9499719577845376,0.913580979635702,0.9626811959729052,0.8678739487685442,0.9560065948488855,0.907434820186097,0.8359127066684463,0.9275303982325258,1.0690850857274616,1.0550673030648279,0.9832379488792148,1.1860839697096535,1.2467567926249774,1.1697499817317683,1.279595233671995,1.4981747888480368,1.4798393029140664,1.4436065315846047,1.2128282099753205,1.4305298207674297,0.8973189888305,0.9208578938610226,1.0042349720819572,0.9038375970366037,1.5118431511829649,1.1145369026091532,1.4958342168409537,1.1679940601364864,1.007265495167455,1.0291519148619976,1.0690624724753686,0.9165475077862058,0.9032337733994589,0.9269983752566685,1.0417399380610741,1.0113239792333457,0.9187764445133964,1.4405196153809112,1.1784449279300426,1.0796784446476422,1.222022721207769,0.8956428441384844,0.9412876260424229,0.944017659766968,0.9855519582322916,1.243127439416505,1.3352308952234626,1.495668571628136,1.1806141163768555,1.216344301719191,1.534385943500351,1.361472690572601,1.2254897768481718,1.4722972844000581,1.6126704719553207,1.432183145522793,1.418807213419564,1.6143356455263862,1.7586351777015778,1.4503850871552866,1.4195754398770148,1.2581788312514668,1.1860019753577036,1.1182117897601345,1.023859205229129,1.0290754834460696,0.9778330299656206,0.8837637946648409,0.8756205291095266,0.9080660681514336,0.8533110747562346,0.8936910850597314,1.02042211183166,0.9729048758303221,0.9799268805068136,1.0038715142542334,1.1387727605506124,1.1070744289621093,1.1495802189718516,1.6097380156113266,1.670539028320572,0.9515368660023362,0.9235557068954253,0.858050849277391,0.9671023351879965,1.0221222836475654,0.8592931697173346,1.092290310833976,1.5422234328148805,1.2761894450220976,0.9940410163302419,0.866709505008167,0.9047754601294894,1.0861601611561396,0.9551228667896019,0.9558596874761058,1.454705872289742,0.9487446816391129,0.9271044394753292,0.9109586743498942,0.8737171133359537,0.8736166552006406,0.856389427151519,0.9676302990158613,0.9270745618365447,1.6593904696477768,2.455151579067286],[1.8999401862757623,1.7259240012487502,0.5022472007755396,0.5122811256676245,0.48318018967578413,0.37846767706070295,0.36443640951344924,0.3924986465732509,0.4081338739211827,0.42965480115159216,0.47005739179185546,0.5459045938412793,0.511783879804827,0.5053200773537997,0.6302298500591117,0.5569508224191191,0.6320605551477655,0.6356651434376656,0.743343573215032,0.6943341343388493,0.8004273184937497,0.9339809699748809,1.0381892635876102,1.1796054669745193,0.8946478528081155,0.848373531531096,0.7531483034679313,0.6500734718946148,0.6190664264184872,0.6198299132779472,0.6784740200406293,0.613857041639523,0.713857284344116,0.7287958354907419,0.6051154584044247,0.6363452923838937,0.5896474164757666,0.6498403420346415,0.6648915565284086,0.6971839311722197,0.7919342034789678,0.7945737560426334,0.8315511364042546,1.0411420969614962,1.7102164128631652,2.4241867289197576,2.4420715476613424,1.309567936876078,1.5696419707612514,1.8721883749144665,1.2315259484472687,2.850340941645189,1.8165149474489246,1.4758453933082814,1.4544856632833614,0.9887229198264251,1.5542368688109964,1.0948376105428808,1.2010125037537518,1.4775601118653816,1.0368168145649301,0.8133242861842472,0.7920291645971748,1.0187560288999453,0.8300613399057369,0.7642857332252504,0.8441631700615644,0.7619467996685524,0.9299226207631887,0.7977056428854151,0.9062200740126781,1.2100059259201261,0.9454793069485851,1.1514581708061065,0.7977589607374932,1.3045435538176318,0.7819848562562983,0.7736582719202255,0.7424800227944798,0.7681217936482789,0.7022952949980811,0.7439541481168299,0.9885202572828862,0.6558279191034346,0.8861838343935938,0.6060134262928322,0.6762798184461938,0.6816153065619325,0.6982533506349566,0.7710863837143669,0.7457531644544332,0.9354200966248241,0.8837116498812625,0.7430591984957088,0.6902383179443178,0.8039554483613743,0.762843596662906,0.6855703816881457,0.6267685596583501,0.7691904229359278,0.6187450125965497,0.6468899331417156,0.6448828904517112,0.5160648879274152,0.6207472271729109,0.525082609935608,0.5485975184733026,0.5142355153645388,0.4483554787809748,0.643708877329649,0.4191841054672652,0.4399142994179525,0.40768959356269696,0.4453877801841118,0.48153125025768123,0.5364074471407031,0.6341571057696868,0.7568916538144097,0.8200637868994831,0.7221147181789659,0.6984809730961419,0.6239754288789451,0.6770035762652934,0.43991251789774255,0.37344140693857447,0.42750350660273867,0.3817920064622285,0.4255030755103218,0.41936958831267346,0.5347622393291553,0.4944396143497516,0.4951620838649227,0.6022460724798385,0.6035242967400758,0.6293316661238233,0.6780862499607526,0.5841906453615193,0.5662313431340568,0.6441157349653606,0.9102656244304981,1.141486121737516,1.0634311630506768,0.7688265475304029,0.6838167004798592,0.6655948292938866,0.6218868202845771,0.5707880129348756,0.5331812592475518,0.4740938179662874,0.49669802871693874,0.48519700976179464,0.5377191564922875,0.6297382881180343,1.4106587862311233,1.1865472789413594,0.6034009857918542,0.5608643553071554,0.510174706913698,0.5363045835616116,0.49358117659546974,0.6505013223930187,0.5758069498051136,0.642513052281009,0.64202538529039,0.6578068056719849,0.8537233530341439,0.7692818356742828,1.1818596441149243,1.0707207946682094,1.0486171203935652,0.7815041161707089,0.7545396353457194,0.6504490033505225,0.6031734654177867,0.5526756701382585,0.5362090666876494,0.6059483827034344,0.7357230628723642,0.5881690159453064,0.5747722186312461,0.9234226792809364,0.5420071921350269,0.6359313221854792,0.6149629597988037,0.6450096288175581,0.7579822074945762,0.7502323692247022,0.9252594106442054,1.572248686849326,1.1135553275844137,1.2976203386945806,0.9558717534080484,1.109196819126235,0.9358777486403262,0.7518261275081264,0.8833476696395299,0.708536759845365,0.5994188210287335,0.5575162105645577,0.5253641859802654,0.4478733821431815,0.5669475432210993,0.4992438508347276,0.5264349094987084,0.695983369882893,0.8942907747689501,0.9443232184536888,0.8752462405224831,1.111843156574855,1.2045960269079474,1.1305158502949044,1.272402214402916,1.5103686315890021,1.4952740458640836,1.483313050507466,1.2160624181324735,1.450751696842046,0.8498918123443032,0.8381232294733094,0.975024258001127,0.8130684873815588,1.337762869278203,1.082434573326084,1.473188839845054,0.9740875925545374,0.782245512515563,0.7842250188782894,0.8204646418442886,0.6413953690853229,0.5975254751469498,0.6789012495734201,0.7367002553878297,0.7530447631933239,0.6085722611164501,1.195781635643793,0.9909088144588974,0.8760277828087157,0.9643035511387935,0.5653537999528316,0.5488947147960505,0.5626977298469861,0.6684190347026023,0.931901689965551,1.0544116318004029,1.2223810200094547,0.8787892187447148,0.9527838976327063,1.2769369554074022,1.1180630721187899,1.0556795268352743,1.3529022039518506,1.5209872223592291,1.342328600019983,1.3407937699154286,1.5635547346134777,1.732383075209438,1.4547976381154437,1.4211165212679475,1.226918539908068,1.102287300893454,0.9641743081229585,0.8616968221391356,0.9297897081433173,0.8556975432833509,0.6505075904703291,0.6831869499498898,0.7602070839913463,0.6197078430287266,0.6405200100031395,0.8747898380361209,0.790012046583413,0.7553390149477747,0.8306138832219717,1.0022474456564976,0.9658757947692612,0.9848794055280814,1.4319819371270428,1.5059441800785702,0.8853314633718619,0.8223821778849265,0.7535448828120058,0.8879032897301868,0.9074753776678617,0.6940449255727205,0.9810569890105085,1.4823586508336932,1.0875331304441158,0.660893600525615,0.485323064931929,0.4935571194660035,0.884651501805192,0.46551839805727635,0.4999946449885111,1.1583005978142098,0.48328345150315255,0.544838909109529,0.5182066039563786,0.4220716045940996,0.4997059957726009,0.5715810524150322,0.6550321667693539,0.6133099692376739,1.3330570661770733,2.295364690230503],[1.8307728742374048,1.675607090701795,0.4749881282886137,0.48723297447445924,0.4620052005763829,0.36606826103438334,0.2998757995932738,0.2956288091675153,0.3088252953778177,0.3023074112852209,0.3282753609574857,0.4340255423698712,0.3435480123305715,0.34663303250007027,0.4329143122533781,0.37777938172134323,0.4635705547260662,0.48004541368347026,0.5980964845281307,0.5439670901044126,0.6414546952889301,0.7963974955567483,0.9030005916683305,1.0261139828171704,0.7392060140085543,0.7146886708771651,0.6151068326031562,0.5104690266622137,0.4607090645998411,0.4274237938005819,0.5105630065032536,0.44355585827331173,0.5432313975524381,0.5377920458211425,0.42080502899440886,0.45539880677316935,0.41503307825605984,0.4969571983616351,0.5043910541761883,0.5247366909476193,0.6786639421430389,0.6463970480349499,0.6676329164311016,0.8430121707908507,1.4783410172897289,2.172515175017242,2.148286167310256,1.078824689306916,1.4020580489536907,1.6348931426650344,1.019330386346194,2.600787320721646,1.5830733959017638,1.2898857599919051,1.4367659791329832,0.7969385146668446,1.5069626915364125,0.9623789901610099,1.1167654717466737,1.3244105346840818,0.8719103900635821,0.6328879731749323,0.5983918177898254,0.8530252480978892,0.6436187300787254,0.594200416592208,0.7376437663695737,0.6101078287563668,0.7997207568512597,0.6329587349228489,0.8242014914694696,1.1211205062911993,0.7984922035773636,1.00608877447099,0.6114366029901003,1.133881402369709,0.5969871419258432,0.5886583230811723,0.5612681884865972,0.5767744725019072,0.5170635303558215,0.5921358267683436,0.9251725536162329,0.4841989067589354,0.748761565322249,0.4515075050765144,0.5024177298661775,0.5058440657534793,0.5013135667140641,0.611262949308695,0.5594238224098328,0.801013920281972,0.6968412916276239,0.556323658351834,0.5082435603552218,0.6297733018202578,0.5908765148298396,0.5196222492329599,0.46674684294093105,0.658470052478136,0.45108388715089337,0.5418173290717363,0.48005039248385234,0.4102750626744612,0.5162114114714954,0.42555293225680263,0.46497208155723285,0.4149759174137655,0.3738295662260517,0.6041369866726622,0.3455806928998061,0.3274864177212569,0.2954983586135386,0.364196761242633,0.37558736835044193,0.44856394058709514,0.5086417798948096,0.6831303834079404,0.7059946543240645,0.6110423871229639,0.5896379782986744,0.5255396037190179,0.6167512263556724,0.3786594622472827,0.28364769923767913,0.34059279902731254,0.3156287502563816,0.3332396847721422,0.32015697142493976,0.4379898830102289,0.3897817951425149,0.38812114921959406,0.5000473945777295,0.5103578919922922,0.5425540321781492,0.6214729986007285,0.5190308189848808,0.5005543427622642,0.6103144775102947,0.7900507992241599,1.0397064444451518,0.933633987580503,0.6633644673631347,0.5686440834730287,0.5241914607600936,0.4828118397272477,0.4375092584378971,0.40508770781132364,0.3482389188508884,0.37512501648537483,0.38538617250639295,0.44953291147694796,0.5652404353862918,1.4061614273682157,1.1210904771363268,0.48821053937530384,0.4261323214675341,0.38862621622526206,0.3946072584097685,0.3588348263908187,0.531183218086331,0.42577220266390253,0.5050984153408521,0.4854339155354709,0.5305537276528703,0.764588871156583,0.6806715229145887,1.0896349079882865,1.0308891066265886,1.0235954515069026,0.7109848132748384,0.6871989553733879,0.5396838485431744,0.4823729757129743,0.4016792558107095,0.39671204651373504,0.4433816068836804,0.6235861108343767,0.4254981738071252,0.42776389387186914,0.8212331716925929,0.41611037639602527,0.500210039272073,0.4789050643693846,0.5146408967188931,0.6152541024316034,0.6123394626010991,0.7815243084346908,1.4802721558638952,0.982768634944467,1.1841566805586006,0.8504709600220568,1.0370358340710575,0.8749284959628838,0.6425329368064128,0.7798035484230785,0.6546621646209687,0.4859043459712619,0.4540567885428807,0.43320910736162593,0.3977444946838471,0.5590196167020628,0.46430130417353854,0.5130360535520906,0.7242447949190743,0.9131096196742825,0.950791213512997,0.888655826986739,1.1545435058567495,1.2121948908812985,1.1363630820298845,1.294355831138211,1.528560088551076,1.496051942740955,1.4731773180962635,1.1938392575748964,1.4801943926100911,0.8585092969402497,0.8579667595807658,1.0092318277075358,0.8558666404940779,1.4059862772816256,1.1208708592285739,1.5681810730667136,1.0273569326755325,0.8397510670038114,0.828242680756873,0.8029914138767009,0.6208249470563852,0.5739309644139166,0.640337129255343,0.6218579919722192,0.692271400198726,0.5115641556709036,1.106548185030918,0.8658043006521264,0.7844909905161772,0.8810210608009291,0.4799287760778883,0.46933014402105533,0.5015166286459557,0.6642211433188917,0.9126061724694422,1.0675204274414267,1.2175420008302789,0.879864149438416,1.0015531715439834,1.3181603158292086,1.1514049214872115,1.1142958990276122,1.4249420919559448,1.5873750737154209,1.4008847794041743,1.4086834891667452,1.6351485566277213,1.7878500057700273,1.5068410681337545,1.4860392504999087,1.2888798566753814,1.1747886402041219,1.025639254126021,0.9200142494912966,0.9941304769935024,0.895294760499962,0.6872634146552798,0.7150148201275975,0.7805523685880937,0.6156006851080061,0.6240389603502754,0.85264606905356,0.7724876996357849,0.7156589845059234,0.7827212764357606,0.9694466377181797,0.9411968462270889,1.007059871695507,1.3870138205867097,1.519957698718573,0.883702463250715,0.7997390330119097,0.7378808187779788,0.8339972620941433,0.8433576331618912,0.7162902369629541,1.0357528918415528,1.5359614514540285,1.030831119692931,0.6356452512880862,0.4083443595415116,0.4401953699151349,0.8285380612356158,0.4044003891951075,0.4479995034930128,1.1723451058692516,0.43308756482211336,0.5101779684498872,0.4806566995179691,0.37237497081656545,0.4913114888121891,0.550997112045046,0.6250865751565836,0.572573889701112,1.2943416858350467,2.2764783366329304],[2.0371700395418286,1.847436668844979,0.48498142521276916,0.4896947280148089,0.4332832254494227,0.3327606235214356,0.2865372099135986,0.31618774066007066,0.36453715558976946,0.3490144420395037,0.369184067700265,0.45659751944616195,0.36832663853070385,0.36081150828237174,0.45373765152147477,0.383660089416847,0.46247411846544145,0.4637739423254362,0.5975615428522625,0.5447641230363359,0.6481702893836386,0.8156842597928617,0.9273858305138255,1.0554574743578538,0.7604589664552098,0.7195299148191711,0.6158435238938205,0.5030919270182341,0.46096394843629157,0.4433248705088282,0.5135158890800513,0.4508448589176295,0.5397639572174127,0.5356373293875994,0.4243398051638777,0.45343242880901136,0.4219392827057226,0.5102667354863738,0.5001560545937171,0.530676869689247,0.6722426631050915,0.6524422358946412,0.6817894901721538,0.8983913010762848,1.5591984902944027,2.2985342379673877,2.344928733107292,1.2133667236394658,1.5255391663679918,1.8659994647748879,1.2411002624471477,2.742382919168443,1.6719779833211026,1.3786371669449422,1.458178310237835,0.8581701143206578,1.5045863695374835,1.011046705179391,1.0993387901491953,1.4194318280840095,0.9087691690296341,0.6681907283294162,0.6141398832549724,0.8659971539149499,0.6638487119002903,0.5992219632812725,0.7315757175384024,0.6176861700696172,0.7929665173663232,0.6582972925922321,0.8135717784406068,1.1150300004209728,0.8175978075909334,1.0167368591863815,0.6290947453295384,1.1538325785814378,0.6059997659092687,0.58849716800703,0.5567068426507927,0.5823208378581987,0.5150109963393044,0.6137527272761183,0.8774805216121371,0.497319836378267,0.7439133238912753,0.4373042958584341,0.5096389042824692,0.5089289193424614,0.497790698134443,0.6137475059754467,0.5609413381150893,0.812280020989675,0.7147152000277207,0.552790231648092,0.5111862025602278,0.6317402993341855,0.603414202848175,0.535178962159846,0.48785259035313067,0.6555262895390023,0.4525729091843829,0.5649370722252406,0.47201002923635316,0.418095028493291,0.538124314665128,0.4425408161632516,0.46647640734849705,0.44315583800588343,0.3767259184711004,0.5876797760423056,0.3495355406991755,0.32504900736503356,0.2911897083413288,0.36780074306518196,0.38313457671026324,0.4314555634606168,0.48920086150707615,0.660608915660579,0.6987952957842786,0.5610425797819985,0.552104655630337,0.49355544286094905,0.5928240026650069,0.37137464605153747,0.3080095256262538,0.35310940699123367,0.3111963077008348,0.33475230296583713,0.31200606671720377,0.43993049169748477,0.3926587964422899,0.38660916342220714,0.5198207354678366,0.5089091800807315,0.56345743960056,0.6673482146965983,0.5676662959276474,0.5192994097260598,0.5960970370474165,0.8216397308043852,1.0469973059894564,0.9600035785630897,0.638841425684122,0.550678146128525,0.5250042367806227,0.47918145539199974,0.43115944401902234,0.40377514948027754,0.35805126550934874,0.3810725835745173,0.39084129602249423,0.4899367049250317,0.6168568626351111,1.398999179388335,1.119172995132214,0.5198892371626438,0.442818308209188,0.40056612877370523,0.4074300243432795,0.37767402030101554,0.5400508211557645,0.43060600981176983,0.5077211667683043,0.4863266441152876,0.565549993801624,0.7880072436286722,0.7638985514665534,1.2253427795753977,1.1453263566293748,1.105190589176735,0.7661179975528086,0.725194552478882,0.5601329567660764,0.5021170560358534,0.4112210778120846,0.3971839157030387,0.45215652920754484,0.5971905587745269,0.43096330703695784,0.4282079591143392,0.8672842935298839,0.4294387008649476,0.5122996220582936,0.5034055893415811,0.538177007677098,0.6421172285585098,0.635854720865464,0.8319924144831568,1.5525168207869473,1.0507390927057556,1.255194384699552,0.8907517739031754,1.0882113734247323,0.9335325109337836,0.7190343489109958,0.8810687044275638,0.6644798072499309,0.5057675168241255,0.48505475245713686,0.4205354686639144,0.4203575647670719,0.5498450484154923,0.47327596759761037,0.5443364013652744,0.7538591917716891,0.9571595706680895,1.0056197273781324,0.9575269482965519,1.2233568061028601,1.319947939703123,1.2446239735975768,1.4043794926866284,1.6557844769093732,1.6069867442843173,1.6078994133765772,1.3290861698113932,1.5573124102214069,0.9287546844105391,0.929179560801512,1.0898390381239527,0.9371152551355384,1.3504078305489282,1.1881229906360558,1.5695274881951053,1.0589646508440025,0.8406061170395348,0.8063085037756479,0.7746675748252526,0.6639262946145548,0.604387081655693,0.6542435544242843,0.6760486321422084,0.745672567921816,0.5707915215251131,1.1124022988241589,0.9910942305317882,0.8655746717837314,0.9565358254819559,0.5195308985631174,0.4646134559428691,0.4860435238976536,0.6439887950435362,0.8472307285026504,1.0007863511043826,1.1597001954326733,0.8428245425967706,0.9766981285474168,1.259901226935322,1.1319959714974288,1.1251980083277748,1.4264224739514664,1.6009274912119413,1.4476593037567416,1.4467028386645964,1.677278900073971,1.8689688071643569,1.5841164110983286,1.5519161485203803,1.3562378287422105,1.2162964506286655,1.0553615218312025,0.958158565063907,1.0438285513398948,0.9581935420246879,0.7275916133386559,0.7721084939755498,0.8437500326584398,0.6642602282632,0.6874679003235843,0.9211107462747731,0.8082675279873962,0.7656009491147343,0.8435049100413634,1.0144097203013311,0.9628774418023407,1.0232711657124192,1.4042947582518348,1.476441948205883,0.9374827349993273,0.8466677693395748,0.8082565489035325,0.9945132697750034,0.9032783150288254,0.6886828651567768,1.016481651320605,1.5185548173782324,1.0462162237602357,0.5923172227568262,0.4101387724379248,0.4295359446662235,0.8642320964084687,0.37078360449012193,0.4280603228957818,1.0791294968736262,0.3834119622237261,0.48637399254531866,0.4126874306346902,0.32354323470558194,0.4691645601774531,0.5318041879516221,0.568426727507907,0.587055296623685,1.1810550501123416,2.044260699854435],[2.0078907580414045,1.8122498715903308,0.5284278095494068,0.5203972707506304,0.4439742879216385,0.3620677143150423,0.276522505825349,0.27392866077358846,0.29874130413214595,0.265423660711302,0.2999922060327123,0.4124489489557035,0.30814228189458326,0.31889043025355346,0.38968310430255887,0.3521455106875362,0.4272863975573312,0.4736215797044339,0.5942442489376668,0.5161269828930077,0.6275301645499914,0.7915749755331685,0.8907526481307936,0.9946182596488437,0.699983377290825,0.6824942890816064,0.5549802729528063,0.46080152716770667,0.42052072933830636,0.3991659808591993,0.48489901274614516,0.43497896312895884,0.5199428711585404,0.5131927797552204,0.4117911011328257,0.4323973113188174,0.3908150543713445,0.4471377542276214,0.4253679924388807,0.4410533283656692,0.6257885345915688,0.596131292810914,0.6181340894176273,0.7538771970581337,1.3757677714842549,2.084782143437255,2.0641075700723865,0.988709141133442,1.3467665535046993,1.5825435515404105,0.9757715594207081,2.455826003412592,1.4439312270797828,1.1989658929985054,1.5115662853645428,0.7439488516898817,1.461254470703586,0.9881207382004693,1.2072335172189632,1.2531810200779225,0.8133935480252655,0.6208892760129706,0.6156914557832385,0.8500174347537478,0.6330465531782936,0.5839415912416857,0.738109139984337,0.6131868609575086,0.8146714483975855,0.6538230823769339,0.8665549943302402,1.1739952119848824,0.8344464955509959,1.0228127390985673,0.6160546241819285,1.1267656124936147,0.5797885669874494,0.571761703041456,0.5378075576143402,0.5682684831417255,0.5006962611728222,0.5243877786102159,0.9141864990228407,0.40849228210270666,0.6777382686333112,0.3924253729267689,0.4526970894041092,0.4636309990643386,0.4849091628865035,0.6069750535533734,0.5525815146759173,0.7915908629849455,0.6598894436865903,0.514438737725886,0.48365216025890595,0.5900432152336433,0.5555423053157992,0.4719507360784018,0.4373782223880109,0.6428056279486621,0.4291266783291175,0.5883546576999786,0.42160857604283103,0.42241311805999443,0.4796524013481108,0.41172117115476875,0.48391971936704015,0.4016004876394474,0.4023687432193644,0.6231690511717374,0.35529943344121373,0.3043395603876621,0.2675330820456483,0.3263024735443407,0.3327344394983944,0.3951409453477148,0.45443238395236907,0.6562947985223339,0.667839475489748,0.5789806591623108,0.5535540456352464,0.4945638560855399,0.5543589378656218,0.3466727149718317,0.2594929219179317,0.3010246115077514,0.3286394782902445,0.31247383738849743,0.29218576684185543,0.40101748602238,0.38211354925662333,0.3617100440978963,0.47249250139802235,0.4655698476093988,0.5238994296723462,0.6374451950227847,0.5926456122171342,0.5136530765017372,0.5967698475869884,0.7158042654140395,0.9784574837818923,0.8741628306106932,0.5774675259155935,0.48096229441866767,0.4419536423277237,0.4030060865358229,0.35530185702622985,0.33699875467173585,0.2961476298141795,0.3499976887498748,0.3780662349022549,0.44694412524407434,0.6161808326275912,1.4731768740787774,1.1020743913356388,0.49649983519276897,0.4029309254862393,0.3932788349985465,0.3613840436370091,0.35325904741156305,0.4704489063668275,0.3573320564129006,0.4147134268598409,0.403524771503201,0.48818042267896516,0.7288987830197184,0.6890247308640705,1.1239206431395103,1.1106362136923276,1.0924487378055538,0.733870592937219,0.6870898358143734,0.4962985054656674,0.42933835992850256,0.32707102752656164,0.3499453038568192,0.3894952745425303,0.6003584630446338,0.35923533482234715,0.4000415540269354,0.7684635223536523,0.3745050131675706,0.44559360151107963,0.4105363046737502,0.44103950021348576,0.5323760659318263,0.537345103654393,0.7216406115535902,1.46001625033556,0.9393089294877468,1.158880027030478,0.7950545918445763,1.026670930372118,0.8878109212890937,0.6318943934125569,0.7665225589611919,0.6823747402895113,0.46832825050354626,0.46336497402180293,0.41215486240770377,0.49401826253687353,0.6630893141040444,0.5269812392095689,0.6199090483918419,0.8836613763803406,1.0490300298790334,1.0715530809848814,1.042442842945895,1.3443140003316025,1.363380002174556,1.2883946779714557,1.4796888436195021,1.7110489390972548,1.6349633254017601,1.6308969229195136,1.342799853027585,1.6682227745985607,1.0147010430168801,1.0250097036763415,1.2072923074515731,1.0736086342365483,1.5056287777544612,1.332265430048002,1.766429972234241,1.2030339273136186,1.035870835054057,0.9948666290348085,0.9173100543447877,0.7797368378461522,0.713573502296089,0.7739263471968257,0.6662301835869899,0.764341865184864,0.5818985287548124,1.059553643848375,0.8776477701026315,0.7954325361450842,0.8808896398289313,0.5037656718348782,0.5153317640390221,0.5726478912155653,0.7854041965298892,0.9836395205314665,1.15734082710708,1.2835564776479897,0.9855455268909953,1.16596062738295,1.4379277876326932,1.274188463496502,1.2891208874031495,1.61181719019556,1.769236366492878,1.593083130262101,1.6200604557979783,1.8594956794582254,2.002587629832004,1.723637619571223,1.720776813762673,1.5138747179374261,1.3984189817532398,1.2289683806637068,1.1252897271095497,1.2169684444185815,1.0894459538458943,0.8742679740984459,0.9070681268433326,0.9545123924304895,0.7506582639398773,0.7525713822268832,0.9711010343471063,0.8471255531118345,0.7565606698219629,0.8284687766928378,0.9992320556873979,0.9682616342447427,1.0659211489949532,1.2868421492392188,1.4408449379212245,0.9916257386197637,0.8578183715012505,0.8483196077177668,0.9446557717716961,0.8498887127761559,0.7698165072080504,1.095388917363939,1.583396542561504,0.9675144469693231,0.5964782729552839,0.43405120051351426,0.4315789027368482,0.8441872609036668,0.379170863693102,0.4172086632832952,1.1779283148080983,0.3715691164891167,0.45772383742149614,0.4130624749635813,0.30748529892077664,0.4725682162260331,0.5254598667953438,0.5567876007833085,0.5701881272465801,1.1049029843825844,2.1793316437726324],[2.16016471703656,1.9660794936038928,0.5651311672369399,0.47511626719279876,0.44864205961655834,0.34208851666917117,0.2912457904757961,0.30849926866920635,0.35276312899025364,0.35166513898997254,0.36434829462733376,0.43984548022861,0.36394190462250936,0.3605007788122921,0.4280852396379646,0.36848637629058545,0.4550493402707185,0.4528456221705523,0.5604695412356198,0.4943354860568364,0.5741215059572762,0.7208836011168881,0.8058810435299363,0.9365074969731618,0.6731819012716169,0.6388164039396891,0.53882041588962,0.45336412980489893,0.42420685929180907,0.4069429347029092,0.4884249996958575,0.440248458866702,0.4967929421455725,0.5072470945076933,0.41071985180823006,0.4265890072191463,0.38584760555829584,0.4664614123490452,0.44051050178840395,0.4682220070687298,0.6559806895068834,0.5747604723672468,0.5914660864856358,0.8113221496679135,1.4780022222193108,2.2243878121842453,2.2882134810531856,1.150080182736075,1.468690782941454,1.8337140810327446,1.2589854717324527,2.6255138777302895,1.5739172986783616,1.3142815299743784,1.4636316782961445,0.7960919076603555,1.5152440658091006,1.0104766561792444,1.1350634200167264,1.4202893255152267,0.8961715491974505,0.6420282713165274,0.5813404531307201,0.8338010511384414,0.6199432928432034,0.5680835805923123,0.7174204798093566,0.5989451745059439,0.8029959481765061,0.6543860034106379,0.8353941630450931,1.1301786810920826,0.8400125360736849,1.0181571834709968,0.6193008109357078,1.1116074970436238,0.581963862709371,0.5501940581321599,0.5172918964927512,0.5696177524563119,0.4564269686675093,0.593740815267143,0.862915160398274,0.44561802142882717,0.6690607734164403,0.39045976102299973,0.4571540897003198,0.46317574742805484,0.46951355976966963,0.592583211330774,0.5323839047831467,0.7788261250836938,0.6616440621535199,0.5064234370966931,0.47764689074914835,0.5892104479839625,0.5822138050387263,0.49685446769652053,0.45799011587483546,0.5999250135106163,0.43717555526311486,0.5886447955124832,0.41385384163065775,0.43578370144331324,0.5496735874116069,0.4554727624854551,0.5192685205071468,0.4634992455568448,0.4178777466688264,0.6086884314040689,0.36439965264395613,0.33596039976498354,0.2961953583607966,0.38914774193387175,0.39122713688731275,0.4262437886906155,0.46468404717617345,0.7423580614287485,0.6550544449112014,0.5328018039176973,0.534220028506059,0.4845543537778479,0.5634715491695081,0.3941291914086347,0.34910250267483217,0.3748693648313903,0.33649158200986207,0.35967316014788003,0.33760677057059907,0.44082933410141806,0.41931405210214834,0.38748240297246656,0.552986691155486,0.5091306512351306,0.6121244443426775,0.760579746783307,0.7150092111653885,0.6513507255895151,0.6807758813547484,0.8177886191028796,1.0120328335031634,0.9246372005759197,0.6064826789728622,0.5115308505121887,0.4751181946586126,0.45006513554325367,0.41504697670777607,0.4055585545920926,0.35832552457137734,0.3904335486567069,0.38675995567104693,0.46231715349147606,0.6136331266330056,1.3264034451433422,1.0153188800044854,0.48328191172870794,0.40440912652317856,0.39968783844713546,0.3747658897404079,0.39531130140794524,0.4968869212961581,0.42473471152781583,0.5028702570593174,0.45503819195819895,0.5988567794845994,0.8348282775832523,0.8754071356678006,1.3608133428711344,1.3322058177185627,1.2809755827810227,0.8913845098611431,0.836136345474642,0.6184072618308804,0.5451676870115332,0.4104888694545785,0.396689801584782,0.4356443522682652,0.5890466000865155,0.41143307087534886,0.42833400303364333,0.9091227075255611,0.45274978803779437,0.5273807986222293,0.5204528036239302,0.5487668694293267,0.6207569218994399,0.6210081464682722,0.8283787526433267,1.580680017649305,1.0768337115721711,1.2822922080547465,0.8832260225667182,1.1334778580922371,1.0166444981323428,0.7598987630998072,0.8919784691331949,0.7325795559307079,0.5162857752637126,0.5148635176176146,0.4222699537948266,0.5214463136107497,0.6415431677501774,0.5280849834022189,0.6457973616406303,0.8876970186829426,1.0512276306027355,1.0855413997335788,1.0795419904813157,1.3536787609218408,1.4218321144856514,1.35267722958756,1.5307571000800881,1.7733065632641347,1.6919273557447536,1.7210154815244847,1.4410576095281071,1.6975494477620148,1.0769041322524213,1.0814138363930212,1.2518102199293666,1.1313428433452262,1.419997576881786,1.3791783487978653,1.751951955352683,1.2193312379583487,1.0158178822894495,0.9441394998482111,0.8771865611451198,0.8260776979972959,0.751733384643834,0.7862949305970071,0.7684064280511335,0.8571969910611654,0.6788461837103619,1.0617294471110381,1.048882702740132,0.9151717010644802,0.9618688131537741,0.5792143474124255,0.525642255986472,0.5609525373186248,0.7614605041067648,0.8989982328252497,1.0723686865455953,1.1832063065030125,0.9302888542432568,1.095432986943298,1.3114875793843286,1.1970828641305502,1.2307664899914184,1.5315707312214233,1.6955513461989946,1.5630864211080673,1.5773994852770006,1.8054174979506497,1.9968177967887017,1.7242186431072235,1.7053389108565598,1.5137470648042908,1.3767961615751014,1.205862479788581,1.1155023938880932,1.2117848094240857,1.1113892229277682,0.8962269789845457,0.9451304352116875,0.998303512220806,0.8020637122461188,0.8282762980671525,1.0577186757762123,0.9122510538331409,0.8562549512716983,0.9286747412335558,1.0956060102445968,1.0349801594077692,1.1456991507250016,1.3587987632527103,1.4432779586827544,1.059160081469357,0.9235766090625417,0.9198161179803527,1.1077669709605336,0.9211381694769775,0.7592728579332865,1.1170850053224584,1.5908592093474792,1.009861297084552,0.5765333070490736,0.44563883925145226,0.4360619121522948,0.8538398628698551,0.41123408163008424,0.4896198988523155,1.0468100692437456,0.38022684469340245,0.5452759590961839,0.38752260517887266,0.2856162945614297,0.49904305648931563,0.5217462222583068,0.4729990767988102,0.5602893241338168,0.9511935770140779,1.7298654653800944],[2.197784497434422,1.9378188559872715,0.6230875968781688,0.4288013086037218,0.49979134148009186,0.4291455183079897,0.3912510307636903,0.40899156143802895,0.43206995684426974,0.37797065700772414,0.41279117567185586,0.503406442908906,0.3967042866437374,0.3666447842949907,0.43234094650464905,0.39729417684666635,0.4541253562071353,0.45349824207242595,0.5391523089223378,0.47314143907773804,0.5600926773154379,0.7636661896803005,0.8070645163483801,0.8835823991290023,0.640768323330731,0.6236353431088862,0.4920288330399191,0.4395254513455949,0.4337593145738983,0.4340478621172114,0.48332465625303334,0.499710206332579,0.527379736919976,0.5119197366827392,0.44921828586762896,0.43158653689796894,0.43300491334521873,0.45009359237717333,0.38003032757090344,0.3606009458863037,0.5728192348927683,0.5301562246011028,0.5212352410509096,0.6117113345749599,1.1552225064808441,1.8669386532422345,1.8815097307498831,0.8811844525937931,1.2612126269558692,1.5413207750693945,1.0360399195165646,2.2113184577486837,1.260300201126058,1.1113399941014526,1.6346126110043588,0.7093854168726026,1.3708582378735696,1.0132092554054992,1.2529718840365391,1.224526550516104,0.7083006762510737,0.5464504481222754,0.5257203647643199,0.7323762861629304,0.5469557672553873,0.5295904943083274,0.6863174797334276,0.5594492892335179,0.7300095659845188,0.6298440061263109,0.8382504708975602,1.1151331952282366,0.8076931677519632,0.9402967169775687,0.5957708055570612,1.057439165357374,0.5319058142964516,0.5187780981041602,0.4967959125307407,0.5426482788470555,0.49919945202830246,0.5681476060823019,0.872616335139002,0.40004545057835716,0.601654074140027,0.40694513513671327,0.45955599387583373,0.4962236674537237,0.45296840685439715,0.5928643920315166,0.5211204262922428,0.7092163158246577,0.5939195265593205,0.5076757717812662,0.5045806167164647,0.5924269957044421,0.5867196482969231,0.5325433400512372,0.5095562851325921,0.6420584710214744,0.49005604672498165,0.6706102814355512,0.44955632229689646,0.5266578563174956,0.5302887021611541,0.5130985515231921,0.5887323582040936,0.48260873473425114,0.48073606967406396,0.5980237457816937,0.41802196227880717,0.38605462431345816,0.35989663156243007,0.4008152647911828,0.3635506338701222,0.4213431482148765,0.44353147692146033,0.6963685695859186,0.5938072986826753,0.5115540534883816,0.4971294904698234,0.4584043725055369,0.4644846587823752,0.37951216278623134,0.3543046072412382,0.35783740703790046,0.39401187090230233,0.36307891347916393,0.37649220049774573,0.45512776463474885,0.4333064146846039,0.4116898679787887,0.4770626098903897,0.47126320770593794,0.5288027393823094,0.6768750327013856,0.7632792514603266,0.6125905989527197,0.6056794490615702,0.5780157471219542,0.7938990300606327,0.7440143896927314,0.48243348150049137,0.4328807208474661,0.4327474764603407,0.4047878060155188,0.36629666803924865,0.40981206928630004,0.35589068331307655,0.4305133933838038,0.46459520110697866,0.5258904817961088,0.6961027223730025,1.2669488620345077,0.9474248926034594,0.55694865976127,0.4724243651942872,0.47248298302167346,0.4188423087994736,0.43145025198581316,0.4666189255914471,0.3813225593580818,0.3608563656660271,0.37272502053309625,0.5027513147205683,0.6893447822649464,0.7640266748491444,1.2226296929596268,1.270833623412419,1.208438272404369,0.8089322319035631,0.7222632229260277,0.5081679961817146,0.4386578053110985,0.32197191290927285,0.40215120254387043,0.4460420551710783,0.6682834870087279,0.37770218789519305,0.47880799321583484,0.75068567708107,0.42022031439118657,0.4485773506496496,0.4308391000555674,0.4250486255141343,0.47808360839080294,0.4483194764134964,0.7093493229221753,1.4488438140233095,0.956141094962509,1.1695245049463017,0.7629814965953593,1.0310262477681065,0.9551554934034456,0.6818388404307907,0.8329495962601006,0.7710391613486329,0.5268056224513497,0.5461562717210177,0.48909163658612653,0.655044567296948,0.7753953871991476,0.6186539184590203,0.7383270618351244,1.025424176322681,1.1550372757975833,1.1345022251435228,1.167324323611324,1.4961736461760338,1.5035972889520295,1.4269786551761199,1.6446464445134366,1.8898174982809137,1.7587754634015746,1.7859214096177571,1.4918465440461302,1.802505199744191,1.1500815374330098,1.1793094582342736,1.3832723511245604,1.2869079553148763,1.527031266918149,1.5517253853659976,1.908238512823431,1.3739369927760303,1.2130080867369137,1.1371089893102198,1.0332353426116634,0.9823343424891591,0.8774922432256747,0.912421950516002,0.838162765039117,0.9330411297970105,0.742621684734778,1.0072588612238929,1.0098927533105548,0.8689600361180794,0.9283617633672452,0.6043071531365849,0.6089775260669418,0.6924310310926184,0.9286038061449531,1.0543107840435286,1.228130833957364,1.2993539704447765,1.0874114981948455,1.280035687955313,1.46280309856308,1.3278353786162247,1.3892772453898727,1.693895704369345,1.8388082529451346,1.7092603490456377,1.7454709125289085,1.9659824498819412,2.1354983950423794,1.8781099240061003,1.8762456443115414,1.679466439116114,1.5601819535203012,1.386486902559119,1.2979326904801098,1.3853479322298472,1.257119625404904,1.053793719443646,1.0922761299693287,1.1197551266615753,0.8973695737957494,0.9243769121615266,1.136683176919677,0.9538334595490396,0.8499549951283611,0.911390735684561,1.0840831289982562,1.0304244738321686,1.192563335519589,1.2312570022462077,1.3871536182541977,1.1153391132895947,0.912353891013379,0.946630498994237,1.0980820865822385,0.843865265730784,0.8301965059523423,1.1665919689596187,1.6314657540773996,0.9430280138440783,0.6059123448992385,0.5043893827522057,0.5001019343772145,0.8114218466804392,0.4985540428834162,0.5742609891214369,1.053636256836474,0.4390897876001348,0.5826375897962948,0.4173853885575371,0.3566168868809397,0.5517280655247047,0.5077255743585574,0.48791684462436524,0.5938909362658061,0.8123128540616478,1.5355196261300597],[2.0991936851831596,1.7721225484733734,0.7150847450483183,0.43881721467785834,0.44594819476338565,0.39589459605416016,0.31140774887736056,0.33827512518767694,0.32612122260500165,0.3017325508619584,0.34537057990638975,0.43476442772387963,0.3211872515763493,0.3206445667945345,0.416744228036498,0.36645083114194893,0.4163103740427631,0.44887789795369065,0.5262604661800266,0.45295065990723754,0.5414928509870364,0.7144690871423428,0.7747477966492291,0.8534082729106864,0.5932601810009919,0.5943151769893698,0.4694003113126226,0.40721888689476626,0.3923923876672601,0.39607328986635865,0.5019581190742518,0.47150076265776586,0.5522789680510861,0.5111459989062865,0.4328551259313936,0.4241425744686171,0.39888077973963226,0.40881918254100247,0.35902412000003875,0.3550737767356575,0.5937490480868735,0.5077231701193688,0.5119876556296308,0.5879184637670486,1.13998427857586,1.8339735913491557,1.784388830983646,0.7969755822558557,1.1994421011145517,1.387264265675751,0.8599263847326214,2.1175704319603863,1.1963772708607245,1.0406172525607065,1.5994641880345175,0.6973294796710346,1.407919107781819,0.9767131481530087,1.3162218133543049,1.1479554472385476,0.723221920525292,0.5603504502327012,0.5491757180629205,0.7603268877336273,0.5251741469965774,0.5116002399525796,0.6851290302521444,0.5567090347011053,0.7425574649811038,0.6241811593970391,0.8508275884096671,1.1381920617837462,0.8207555007893673,0.9581674716923911,0.5986741080622939,1.0570673939632402,0.5311707609386409,0.5396375042346758,0.486563738181926,0.5358856433845063,0.4963645001176641,0.5219484000114423,0.9308131210947785,0.38282042301356384,0.5653044189207052,0.3839892950640021,0.4309463145348189,0.48702349625346286,0.45202185587240623,0.6082224812363112,0.5304562143309345,0.7648552694785377,0.6271909455527847,0.5235371677730012,0.5099803834545946,0.606075085691461,0.571766922602672,0.5069649638328714,0.4879270603701537,0.645395422490083,0.4783676254101544,0.6767142056395243,0.43303677578317695,0.518583716094745,0.5362152027879625,0.5093548579503897,0.6206089101584311,0.49151464464361966,0.5049971942295204,0.6256674012164881,0.43041106637322496,0.3524141717539158,0.3026961288471498,0.3513274239207761,0.3302883756637012,0.3533158254912726,0.39962144703324515,0.6913278158704108,0.561966816150768,0.5213506257509095,0.4870442813593859,0.4402354436681496,0.457804484289121,0.3311439003778895,0.30120144197422766,0.2951183917052802,0.38366150803021626,0.33273875503675077,0.35666599807786536,0.4436025962465315,0.43052286748934115,0.40332818952952576,0.47162547780415187,0.48034985972946836,0.5329699730579995,0.6771692277991161,0.7409797986222619,0.6085764525462021,0.6309360416535389,0.584127979090609,0.8625420585712372,0.7633536247528906,0.48402601531618816,0.40975390514591425,0.37433133443985833,0.36484228788527256,0.31832227873382424,0.36839686381179876,0.3180110852823688,0.38304270520868033,0.42109201747263114,0.49824958911691464,0.690547516643726,1.3960379943185899,0.9467838826177098,0.544096794391514,0.4480749874471977,0.44692120279037706,0.37325428813337047,0.4248262162120744,0.43523156220683257,0.34011603851135885,0.3379055616538009,0.3271908954556765,0.4578197255011639,0.6839957197558523,0.7163992052507226,1.1607372618371197,1.226559216529826,1.1868956200602516,0.7883808757749929,0.7227155941587927,0.4958462188421227,0.42285500819893374,0.3079380562155628,0.3937129949006978,0.40302770030061613,0.6771911262326151,0.36465300040394566,0.4534246428570592,0.7347277573476718,0.4042193182795237,0.41792712697556667,0.39579647001930257,0.39997568415493984,0.45397078238367894,0.44171839894091536,0.6438746619645938,1.3974900676346351,0.8661077029351061,1.081361068758212,0.7199587688499473,0.9931284851172119,0.9007688250527802,0.6365129016422674,0.7576038890114076,0.8013332277940168,0.5283163192879687,0.5473568607742961,0.5000470142636521,0.7377265846128447,0.8871924681142664,0.6720010873882967,0.8032179576805135,1.1425717325287346,1.2367901142822735,1.178473104102721,1.2360935681625655,1.6205970221974217,1.5255245684711238,1.455108379240281,1.7250748105230715,1.949460517150458,1.7690490558698162,1.8032084573395768,1.4899017872568163,1.9028919865943872,1.211622877058785,1.2639304122185637,1.5036459168721028,1.4289768292233582,1.7187134508083821,1.7121825664868675,2.1045876763684297,1.534152755015572,1.4140357275860458,1.3206383541827997,1.204327440861429,1.1171712545616297,0.9838214213593147,1.0358386237999937,0.9095074421306418,0.9960153749470776,0.7944008234630827,1.0133211780871891,0.9403757854134115,0.8415513283940314,0.8695958382837802,0.6132044872042977,0.6920745028584675,0.8167728533625772,1.0834433088869673,1.2271449220591457,1.430989596829476,1.472262537377306,1.2460095908597624,1.4959246468816447,1.6819462627842021,1.4872902199155769,1.5659942148764194,1.9188050866717326,2.054830966076697,1.8768716525257658,1.9538826878539175,2.205157544004306,2.315043895579873,2.0492030614522316,2.084008662189971,1.8596129296902606,1.7639416099036804,1.5749359655421122,1.4923900151911071,1.573346730849364,1.3864803600929505,1.1968679148261037,1.2264821821884107,1.2236128631105359,0.9776951509185832,1.0095305257357314,1.1898989576783023,0.9908458056814892,0.8569266552336557,0.9160780273977138,1.075623494301151,1.0299363257077385,1.204063399589078,1.179384861360815,1.3826576178233758,1.1656108806051932,0.9282184486411869,0.955541052452277,1.0036958470252282,0.8661518850653467,0.9131399930672245,1.204333551216278,1.6311679081999257,0.8764766156975918,0.5810261970918796,0.5136499954436863,0.4787903212737059,0.8038321130838862,0.4469423198412905,0.49964820591078657,1.2118789567704022,0.3860847444837532,0.4839327349428686,0.3840628330761222,0.3080404941930463,0.5882146023181631,0.4724962194048788,0.4434464027748377,0.571944151718359,0.8738022440956925,1.9823803533977613],[2.1436453637345205,1.6978156776772604,0.8475500680591707,0.4405592284257868,0.4958711977287088,0.46738914556299166,0.42269695504226634,0.431816872294054,0.39494798004991555,0.36339833187002296,0.4055332321466694,0.4792265292698691,0.3967276331086145,0.36065133073726,0.45667485731153373,0.40974675873838307,0.4440923848940046,0.4584073605942456,0.5148936567400529,0.460656094819564,0.5139150561087383,0.7029405896437629,0.7132054313338254,0.7602418286737503,0.5545333063685121,0.5569043800356145,0.4513352283470202,0.42911080395514223,0.42624227710708157,0.42685230048689315,0.5090187797608405,0.5086598750431428,0.5685390386192694,0.5227680968358389,0.46830257562534233,0.4433932627307686,0.4449888702303477,0.43471173851172795,0.38181958302904273,0.387885279351835,0.5940253284426217,0.45865952181819364,0.4538961027958602,0.5200409860783133,0.9479616935660569,1.6158164976382556,1.5477701518792693,0.690406482446375,1.0903804500213015,1.2446986765391017,0.8382708574303698,1.8773378142380868,1.0730581038531333,0.9806946070949423,1.7013507481865562,0.7771409814091588,1.3566755810655564,0.9924131962917823,1.3832541503121007,1.1615054150549693,0.7094508242229058,0.5687777542809743,0.5144602224231926,0.7160313029637099,0.5209511797384309,0.5237831074675482,0.6957214492222937,0.5542507723665054,0.7192202732828404,0.6087808538032298,0.8502581559036205,1.1191579045631743,0.8122884355942854,0.8941856921387075,0.5762745481527617,0.9551783225382233,0.5029803825774882,0.5113837872887246,0.49063687288780805,0.5449446690962396,0.5259400802316183,0.5632241520535995,0.9545364294760389,0.49684952825278106,0.48996075642236736,0.43055115909818703,0.4490626993567411,0.5353233083268104,0.46248421652851274,0.6225321864383306,0.527190227375759,0.7081385411362744,0.613619611847674,0.5228839690021082,0.5090164931092999,0.5993553132250131,0.567883476264015,0.5115528888109078,0.5057831078578393,0.654490025470314,0.4942172827651442,0.7540488748912608,0.49061024730868125,0.6083726795219101,0.6439291305737505,0.6097748697150922,0.7348709107528537,0.5972503102861855,0.6101203343596908,0.6919694183963012,0.5221590754970383,0.45902731885876835,0.39740812639571255,0.4389300053275184,0.3993113705332915,0.40665258576715435,0.45261825234415587,0.744136635351847,0.5380305699423087,0.5170884526995064,0.4769314950590161,0.4357991584050945,0.43506844139785633,0.39293066384452746,0.3911840638159031,0.38836412047952434,0.4679205869466402,0.4282882090226255,0.48203061926233015,0.5490584475685395,0.5335905226900391,0.517940562101509,0.5484687566938287,0.5739406736384054,0.6064808393074063,0.739379785408737,0.8640818776928864,0.7292714428906456,0.6850821767930693,0.5384565501881906,0.7419471204499398,0.6733938384457273,0.45919560771234175,0.42231139767740916,0.41445610271708205,0.3933853032974739,0.36732069517361504,0.4163971076600582,0.3984835302231379,0.43388719365053535,0.488073659534193,0.5449248459610796,0.7497310513981543,1.2540674276346868,0.8723078644508183,0.575513304795284,0.4916692800509149,0.5190581586894876,0.4373610948406172,0.5016678454919156,0.4939350744557556,0.4038266913218446,0.387713188970177,0.3657087058270621,0.5305929404348282,0.7090456604523403,0.7904462371136993,1.1994646808151723,1.2987737374931816,1.243915858843276,0.8620395253711083,0.779201090805012,0.5538721081440576,0.5023715964334372,0.39888342312384906,0.4962452769258224,0.47371245701116554,0.7510990029523897,0.4731656834632778,0.5694304528044598,0.7731133214537949,0.5099315934018277,0.5195160112743739,0.5005051870604701,0.486300582172649,0.493151553711543,0.46771535184115537,0.7038678769112972,1.3778020371449704,0.9118908811658702,1.105776916366348,0.7256848939415217,0.9802400783326846,0.9321533088219792,0.6847645891773709,0.7980390784623178,0.8948541873286964,0.6211187012612852,0.6462875380364723,0.605770710406367,0.8776770108261003,1.0157051700881519,0.7775882620906804,0.8979655268211332,1.2600031159583533,1.328809608791154,1.2009061317485958,1.3042606077155696,1.728011493376828,1.5929038165401324,1.4975400691442,1.794862974615102,2.0396009640925157,1.7883689996104075,1.806190634564729,1.492349157400422,1.931078112744412,1.244309141148133,1.3210969561765027,1.5728523757996202,1.521897336170363,1.7871516186905716,1.8186277163523787,2.1814675304871036,1.6586571822518748,1.5624220498499823,1.468535901898987,1.354637528002395,1.265649791740081,1.125074266852523,1.1794602042760784,1.052941425105795,1.1224461032625954,0.9220591378133801,1.0418710181164579,1.0221760347933042,0.8884646244467777,0.9043190649117259,0.7094722832795062,0.8333268765918348,0.9731341103319799,1.234116144597532,1.3634632716270343,1.5871926228812367,1.5826225259683482,1.3889632443491982,1.639408904144276,1.7908853566612966,1.598032037154085,1.6873641590068642,2.024407405079203,2.1474568296935477,1.9875637029372721,2.0632658928280128,2.2972194071953744,2.4138041213495014,2.146435234275822,2.1789861076495454,1.9604419068774768,1.880226816506009,1.7067770281288646,1.6281841210496926,1.6858176064658403,1.4962341140118711,1.329143622606863,1.3447193203313965,1.3185097015089615,1.0793462491521884,1.1234279969232115,1.260626003589622,1.0467615190724253,0.9255625356046209,0.9704788435346523,1.1031807478409303,1.0626030275103464,1.2531766668855564,1.1651189964625004,1.3955918195066828,1.2000945642055028,0.9681215346997809,0.967427444379105,0.9923264693512709,0.9523152974784802,1.019876408303699,1.273399965054631,1.6348064191571807,0.8512213796542133,0.6086523173270646,0.5954603530713991,0.5506142651685015,0.791568624471398,0.5171880005708447,0.5660682514276335,1.1085632558629375,0.4234125172418684,0.5024136686550661,0.3876631846660885,0.37101420486183184,0.6495827515725419,0.4821357812428997,0.4401503181487822,0.6474715974013593,0.8017820528042239,1.5546380188160696],[2.1768773888947393,1.6975865124210623,0.8854653435963565,0.42961407519683176,0.5124966511687086,0.48559876772338706,0.4174733244460681,0.42244902487218605,0.37857909527243616,0.3506385494006352,0.3842904321776469,0.4695088502129795,0.36652692689596345,0.34842451200172525,0.4546494144979073,0.41318444568433954,0.44535934066823496,0.481296853418548,0.556936166217693,0.4773422556562655,0.5655157433819312,0.7567617128635625,0.7937759114101891,0.865533996559409,0.6201465394212716,0.6201518313439834,0.5006037824389068,0.4527514637804089,0.42850908804786236,0.41733868884027375,0.523290863158878,0.5087564269819601,0.5887846119250881,0.5453197102812372,0.47556915763538166,0.4547820331449294,0.4314186549770573,0.4492821150441906,0.3954064431223054,0.39711315918837586,0.6237144990498229,0.5252693086276583,0.5191866919000894,0.6059127909503418,1.0912789788314445,1.7744472611797966,1.7201533258009962,0.7999030282483574,1.190252572270753,1.3725673285486153,0.9077384312328964,2.0012907241764237,1.1351211576631208,1.0089369828861132,1.658631302325399,0.762454906299892,1.3964082094810084,1.0043460543572433,1.3679490470477165,1.1559903763048707,0.7279615459940671,0.5750976255447344,0.5453191121558604,0.7483622400171105,0.5286308503142917,0.5218153609939263,0.6876105761020288,0.5699604883685934,0.7507351801565465,0.6298962480395636,0.8795536009513385,1.1529783320612421,0.8240918954645572,0.9508476344390525,0.6035804040015764,1.0230551401923835,0.5163517958465214,0.5429896316356515,0.5012766061255552,0.5399264637906646,0.5284513414636651,0.5678405704221403,0.9551261686873649,0.4550077977712908,0.5453607944465413,0.4306448874854433,0.45502374142226937,0.5210198152661827,0.47183151786935734,0.6419771729167305,0.5543754807303968,0.7607560629288205,0.6465973085109189,0.5498738340078376,0.5280390792898012,0.6276808704517824,0.5861337842738283,0.52828578889336,0.5218767531352505,0.6904770122713101,0.5167281590619824,0.7313473730408907,0.48602462183508177,0.5996786680913216,0.6321818270512592,0.5910583716277507,0.7307260209007421,0.5988264635551156,0.6208912360545225,0.6864753332587011,0.5261028260010101,0.4398002851010126,0.3883357408944723,0.4188822230301033,0.3937098762427343,0.4038721350629718,0.4557624231475495,0.692779246260732,0.5722562993309551,0.5501132381002106,0.5095099700758535,0.4674151377869304,0.453967641506359,0.38136866816534704,0.36241602881315343,0.3796589462025092,0.47793932909315723,0.4259449026063751,0.4757198056506049,0.5325364776500929,0.5438271568503186,0.5253112873474186,0.5604536364745144,0.5612890912753834,0.6081979491025102,0.7385016855763712,0.8560549343262635,0.6964636777659299,0.6532957704398805,0.5635189003161125,0.8127611130725225,0.7332197059517258,0.4869934686929059,0.4449775446810563,0.4274397080133739,0.4118803410265719,0.3712916548677225,0.4144663781395692,0.3879701776235883,0.43487699962550486,0.48848395786704557,0.5451694149610746,0.7535901078052523,1.325022513524814,0.9098711327085011,0.5927924918546439,0.5042775677520533,0.5196256310740437,0.4292763784621414,0.4866210190133197,0.48502719103854386,0.3959811253793876,0.38151366464565234,0.3705054010027747,0.5198526007106131,0.7040381204840065,0.7774303611889051,1.2255590197383723,1.3142636182990737,1.2487427378905473,0.854873568935224,0.7658651471594554,0.5391713032072493,0.48799019517231984,0.38618240705854234,0.47274130981831824,0.4524336051583103,0.7399654780315186,0.4513921147492731,0.5567718939669916,0.7621691865591421,0.48800114148714885,0.5047527358754053,0.5000658458456253,0.4775422696438219,0.4804754447636317,0.4712966223804148,0.6707112226393153,1.3933066729346868,0.8917776028843611,1.1004251691580043,0.7281278126768558,1.0174306866459422,0.9561695357234392,0.7065420048638839,0.8240665806204968,0.894928960544767,0.644774880755954,0.6823150951215625,0.6328979489819576,0.9132705052854632,1.0377607087511682,0.7932827649434571,0.938508610183836,1.307910831660119,1.355128423106556,1.2333872679293285,1.3655682235442974,1.7957311995148442,1.6284691719684226,1.5684381309007092,1.8966337259376043,2.105841558922497,1.8377784521580856,1.9340904843076898,1.6048440248803422,2.0777018411125447,1.3728211231832292,1.4328460183621308,1.706923762155802,1.6691584510077713,1.8970793088948905,1.9709889011970925,2.293523431249039,1.753496446316687,1.6550805103029536,1.5328418302046092,1.4175589311588537,1.3503452088909622,1.1853027551873088,1.2084141799174741,1.104674695521405,1.163709021346553,0.9599374447392133,1.0773069263602204,1.081393989168551,0.9450799602021267,0.9464323956509983,0.7557001872890695,0.8474447168746164,0.9979788478540987,1.274159481483342,1.4050019855052551,1.6592882832061697,1.6257215565911516,1.4259702217061359,1.7091486212908031,1.8587487257840716,1.6337389176681822,1.7397787409847683,2.1107751726765,2.228353979954866,2.0508371961614373,2.1684546392103603,2.430098867259192,2.52018105497038,2.271138227467684,2.336048300058032,2.090138952285373,1.9995511545676157,1.7926469444442727,1.726909702660955,1.808934540043011,1.58532597180846,1.408945664788829,1.45042850850679,1.4203838548576195,1.14954235597413,1.2118894606019075,1.358153422547998,1.1142955138494317,0.9852182366096377,1.0403872190495793,1.1845254378632295,1.1236190320214419,1.3247378212259209,1.2151977616837615,1.3847018787053138,1.295184036812331,1.0148832904503373,1.0530060111934871,1.090840894334228,0.9454643396485167,1.0229351245006784,1.2793826250224418,1.6297839250749269,0.8954513610615683,0.6611256849610643,0.6309367577740902,0.5634168871355518,0.8164474700636026,0.5401754670957221,0.5914917783884343,1.1691359611188266,0.45034588681814264,0.5297127660676544,0.45005939418982893,0.3985393269672904,0.6896085011326948,0.5089160224654494,0.5034719911934148,0.6682535727184545,0.9052080623404807,1.8622992418495763],[1.9919553433547115,1.4676352031169106,0.9342761268733204,0.5776884321378501,0.7259553797619349,0.7049100142956264,0.640309405876114,0.5991453645718359,0.4899926774697242,0.44372618073769826,0.4540531806059763,0.5392819438709523,0.46779683014744167,0.41907599376139176,0.48406731605314557,0.46735749504745483,0.5157307509516127,0.5246195320801406,0.5776699324125626,0.5605250189965438,0.6105219717361401,0.8087491608481635,0.7850651947909835,0.8579948020915348,0.7067730195492403,0.676616291512175,0.5901412399719271,0.5604145106671942,0.5214492187639936,0.501297699932932,0.5386220990517848,0.5774565852014976,0.6190293156274769,0.5552216975664183,0.5332403096720165,0.5088202773762627,0.5379248554854109,0.57064016531316,0.5181142642361505,0.5203616463735751,0.7462608490203427,0.6023169252827989,0.5955148357122658,0.6715289935812868,1.1039758538771232,1.7384390902996734,1.7227043464246998,0.88108285378048,1.2408373999052615,1.4528026825292115,1.0728703989212554,1.9530155927145738,1.1603884890350535,1.0871404829502618,1.8285986762810311,0.9025881991626874,1.357380342414602,1.1258870220531922,1.4616033518604412,1.1797192554905964,0.8151511912761579,0.6312158062032173,0.5400388551224984,0.7342506528900892,0.5812782026009097,0.5712593843833492,0.7438591378664396,0.589723660487148,0.7399875650239984,0.6147794075363273,0.849697004276963,1.1202471980710218,0.7956366500465031,0.9181966512355199,0.5988451544536774,0.9645002976904816,0.5183881178561729,0.5321068286317905,0.5230148065292746,0.5860272771116974,0.6121763390132156,0.7022162111981263,0.95759432431033,0.6251790682451437,0.6074236412463953,0.5566503209875675,0.5581044155423138,0.6111259407255406,0.5175291889421512,0.6507280134657484,0.5445962603906378,0.7134031091537834,0.6296740206138265,0.5477250071692746,0.5323067878365215,0.6141890180067826,0.5873512561743207,0.5686174903197015,0.5800349465064991,0.7496120411406872,0.5968963665722246,0.8802868736188677,0.6363392631311443,0.7951128934484732,0.8055673396763742,0.7941632803417015,0.9031291473740723,0.8160791799814348,0.8354920520261719,0.8248744527327687,0.7343767619638698,0.6653388291596559,0.5924822388491265,0.6053729539786669,0.5273124449709897,0.5463840732901908,0.5880507252757362,0.7809651411884371,0.627243144988498,0.5768655770853498,0.5649560108057085,0.5221961473248979,0.5418038575303834,0.5375306883068102,0.5472647793312172,0.59775020612373,0.6963315214317749,0.6494471587156035,0.707210375997467,0.7287612827836029,0.7622120487821908,0.7933754477500302,0.762063142465226,0.7525765357941755,0.7786819119730134,0.843077629754343,1.0363952454339151,0.8342364687340865,0.7435354960183872,0.6347908795694165,0.8459071211064122,0.8196243747813927,0.5932222281346902,0.5953996243759991,0.5886008740044496,0.5365386957987331,0.5330629036955208,0.5579039316845809,0.5597615377808673,0.5872826774174156,0.6554201433344382,0.6765601770492515,0.8870141771994577,1.2593916920615207,0.9306671608185647,0.7091283580615194,0.6199169755190755,0.6835005903962587,0.5636373979871501,0.663024110660056,0.6301264566046803,0.5464107655155561,0.5433407733363494,0.5336742106340183,0.6837390389813512,0.8202371972510758,0.9179338628455441,1.3384635156567612,1.4446710682365436,1.3417463297132524,0.976389446941253,0.8653276475251299,0.6868440446697982,0.6337841586447736,0.5548310155876757,0.6547788956806991,0.6114641999366411,0.8468487413591437,0.6285660875177798,0.7351553782213186,0.8261184366343614,0.6666666794464756,0.7066226249552081,0.7420576598837678,0.6891296404537776,0.6618392867921045,0.6201604988271426,0.7614429603031412,1.3987562235125677,1.0081890023881745,1.1903366973875664,0.857779193059403,1.137725249680782,1.083424928735486,0.8773126760888501,0.957988344431125,1.019751974943375,0.8714862319481895,0.903606212244075,0.8654460284790203,1.0814930864434624,1.148156751156513,0.9597211917660814,1.0675423145326344,1.3699059523186137,1.397163607386421,1.2509161724521325,1.405821029981174,1.793043458035564,1.636659452205614,1.5770463037175768,1.8848448098441954,2.095883242381765,1.7846924571838005,1.9114088014712587,1.6021008069131533,2.0591060737177997,1.4359738813546197,1.4859207295602446,1.7127367678428984,1.7229695723594052,1.8285358533572835,1.9934523176113554,2.330584583917468,1.805705302284213,1.7178075950906648,1.6177046628050886,1.511188502772812,1.4715128976030498,1.303329817099653,1.275639338293833,1.2707391733583362,1.2956201667101825,1.100840174394087,1.2179646838984293,1.2953237743401895,1.1355256106428337,1.171153108081468,0.9678063015925482,0.9997619616700962,1.1410838592101915,1.3748969612571782,1.484028058718758,1.7368895657222236,1.6590304869448163,1.509912675956781,1.7305538863678294,1.8486414079209266,1.6698617838409155,1.740898097394545,2.0546526697774374,2.1508439467481764,2.015098801897964,2.1172317431641985,2.3422302306250433,2.453342971418189,2.2248363471327344,2.2833483488676123,2.0581094685445556,1.9733987369717063,1.7907287833783243,1.7321667415597792,1.817689426615094,1.617379325032593,1.470988632785565,1.5251937374300972,1.5009452089758608,1.269138620963415,1.3427569434366102,1.518673659354735,1.2632325880571547,1.1850204631906078,1.268740134929356,1.4310554344448376,1.3374978584659707,1.5487749748939752,1.4248991194993066,1.569266833802889,1.479988430038076,1.2087740174881998,1.1704820875833435,1.1794507796626912,1.1395457661222386,1.264724224277702,1.496106126671533,1.7387195730011038,1.1260084034263762,0.8745804231901085,0.8454814027758834,0.7987023956903018,0.9367734455024617,0.8575826704868855,0.9459491362679247,1.0572909827997916,0.7163014304064729,0.8487318457994831,0.6948602518720022,0.6282172307670909,1.0364516292592045,0.7261435137500105,0.6922644136363001,0.8336698121814684,0.9315015288981378,1.5657547752305432],[2.4637692543595766,1.6945216319772487,1.2887705307359971,0.7182957353163296,0.7742394041427527,0.7050954666914938,0.7241707119750107,0.7482587259734059,0.7527381807668698,0.6888111999542796,0.7868213011529808,0.8854760587325019,0.7441655560626986,0.6797020287949017,0.8234932572536141,0.7782918358605097,0.7202531692671951,0.7549662792422809,0.7429402407532204,0.7322572553324399,0.7584886361288695,0.9149417598884114,0.8613606730259914,0.8751658817315815,0.7533453876243884,0.741451437955815,0.6674664282209468,0.6738288403473137,0.7199085329264028,0.7460475764137594,0.8451328587542825,0.8788811361341972,0.9804607262002014,0.9156017259983888,0.8482020404855964,0.7821933709128257,0.7773598394449559,0.7273913144207276,0.6516509263891703,0.6546936747397195,0.7504935092869706,0.6578020555600718,0.654185168445296,0.6964585839879839,0.9726270665134634,1.6030592821283056,1.5301879839851917,0.820821233474954,1.1243990951254916,1.3294916056710693,1.0394392822255236,1.7716867828999565,1.134926371840807,1.0893774175228992,1.9066506969816004,1.0538294160500428,1.3900531960346707,1.221556998934609,1.6371572492959867,1.2513174293498326,0.8663709104764463,0.8133307220052262,0.7699931926334176,0.9001645135306305,0.7554538350115727,0.7861601738493916,0.9042413416117371,0.8156201468252958,0.8814558494966137,0.8772851467828389,1.0433806511668127,1.2209451493900838,1.022853454280586,1.0474667147760968,0.8691198334752513,1.0837084602084768,0.7893401722374928,0.8389645063256783,0.81218875671653,0.8451272571710514,0.8567364172469656,0.8238134133153151,1.1191708718625126,0.7340370903470798,0.6708064577517042,0.7082220079163766,0.7371987424060101,0.8465619159347958,0.7746972261977275,0.9588079782968324,0.8862220808041581,0.9905584775809343,0.9771427914946635,0.9497934430182738,0.9226699313162505,1.0461798671745532,0.9654875878127583,0.9492192803067778,0.943391290698266,1.0939682888532556,0.9150167193071759,1.0949454613476615,0.8363224641201086,0.9090851801311858,0.8729845809368993,0.8560564483438899,0.9730132476242682,0.9113081395286377,0.9282600054292752,0.9047843924044913,0.7903441026953515,0.7371322590401789,0.6845325283346393,0.6695405797875944,0.6459030076210889,0.6278264104050609,0.6917814070682082,0.9147660206194299,0.6824832096589238,0.7191920776308385,0.6669157537685504,0.6546040436246631,0.597156717948675,0.5976695803788091,0.6193477947864278,0.6484536892137528,0.7404410825503241,0.719615228277558,0.8250088447990234,0.849362006814528,0.9416998788871056,0.907350729544692,0.9216686604511732,0.8824572009103974,0.9241499662974626,0.9948584561107269,1.2445557187505845,1.1018958660139082,0.9636589456537592,0.7450725696628474,0.8462731661465501,0.8131390237615134,0.6545958591909019,0.6356488204391124,0.6394941661681698,0.6300997719354543,0.6223699097192863,0.6813369105864155,0.6803658624465149,0.7324965668261328,0.7690312207425076,0.9046124100888574,1.059336032065527,1.3602805449130466,1.1406300636140907,0.9902816364167742,0.8892465633831526,0.8564609383786155,0.7595745681659409,0.7790388666248929,0.700301765714537,0.6593535753414704,0.6367837068679687,0.6289787411356611,0.7753798732915832,0.9562530960250654,1.1258932732363647,1.5589629182388434,1.6975202285707975,1.584065525596168,1.2031340837442355,1.0604972680502995,0.8087632065058121,0.7569108275212747,0.661679880061444,0.7688179396141623,0.762704196117959,1.0027287645510963,0.7478176622470911,0.8549655579728632,0.9549758976294046,0.778294453867957,0.8266477906018039,0.8366718234327503,0.8198372741376978,0.7814652134149361,0.7245611370141163,0.9775862955241108,1.5595531957357267,1.1910544903750941,1.3880744825772169,0.9900400939326832,1.213592444301866,1.2192371215558064,1.0960905807140495,1.2281764356342593,1.3535209732744446,1.1332868426359735,1.1754265219293702,1.0326140552904528,1.337752775377941,1.3355034551827016,1.1088191378932573,1.3360019230871831,1.6316679800845268,1.5682983929667802,1.502644104498061,1.7040744636123577,2.0077369166086827,1.8211374652933967,1.8588871817553576,2.1616290919501546,2.2572798121650233,2.0326032235372207,2.2321770570336654,1.9983072414606051,2.36380216843661,1.8812534353742925,1.8713620794534342,2.0990319710074656,2.088624734948138,2.2974421204741033,2.424659594484716,2.4633338569521412,2.088240957525513,1.9875807539665613,1.8218395455341352,1.7758287924564786,1.7981950099915924,1.650227657279122,1.6592602250747643,1.6126614395931995,1.6943518924058014,1.4942742042280892,1.4554235109762397,1.5981721656978611,1.4250426994949907,1.2733393444518968,1.2531886741302893,1.2960181128939277,1.4405271277694538,1.6109100246816421,1.6524905695003906,1.863330857522823,1.7480282601020751,1.6455848890199825,1.8845355378067856,1.901008140315747,1.7047219426118514,1.8783275482510584,2.1242207880097936,2.1689314129304553,2.1139730871096982,2.2449252163853557,2.3811765654498758,2.4697243547768046,2.371672581718343,2.4290354134672834,2.2851956813925836,2.2065924991963577,2.0275013704574483,2.0176635892420136,2.0995673150031897,1.9233525177961868,1.7985957300763518,1.8710595958776879,1.8300570116679074,1.6176969048823495,1.7066670014180383,1.758340239587675,1.5667288144301734,1.4573506492900496,1.4697358755211611,1.5229452770716891,1.531987163168616,1.6652049706535588,1.5437955660879445,1.587766268011238,1.7254958582640256,1.4153626597278428,1.4775222679793962,1.4121432789289954,1.2659242203521852,1.25940836740257,1.4073595823390173,1.505501995009843,1.0995993704899527,1.0529737465597069,1.0517330470282347,0.8889305517678645,0.9906157720838429,0.792413614722657,0.8501679853207049,1.018843383225755,0.6784367479916585,0.7352355573663738,0.7476772752092841,0.7329848206766262,0.8901468866069542,0.7698890178109925,0.9750812296294847,1.1027935915933909,1.0748104469623743,1.6573289044951431],[1.811864574785494,1.4665085135932894,1.164748617343849,0.8308866441512753,1.0069267110074835,1.0889256033312222,0.9991995577760694,1.0746629822648035,0.8287674652449819,0.6780177305236121,0.6775180374186215,0.8515772520887138,0.7505402922622598,0.5464559958661266,0.6546900626050443,0.7030155415570504,0.6682023211302189,0.6552081418713346,0.6274247472217264,0.6720022960656619,0.6682384886780665,0.9039127590056706,0.7963060299939398,0.8357357623169912,0.7204478120176934,0.6867696270122702,0.6702220359484881,0.6675824843085508,0.7195329634892178,0.8022063049598628,0.7421584529777377,0.9045408579550527,0.9528926887993536,0.8652615280004683,0.8661015777995639,0.7798827993630663,0.8993260267007591,0.8326655094968667,0.7489432471199351,0.7294585343132053,0.8154329387228777,0.7421904920485559,0.7309841613785265,0.7732641900524466,1.0554361011582265,1.6693558098875318,1.6847105996634015,1.0062238787993425,1.345552564278705,1.565304732929788,1.286469136617576,1.9435990987816638,1.233097932674892,1.1919144954279186,2.1284086876162953,1.1393763765990366,1.238508271850287,1.391212465807915,1.7339887567744785,1.2791645402176848,0.9144908279983766,0.8006410873921107,0.7140296691437344,0.7657905598996518,0.7165183964885412,0.7264212555031996,0.8099152599752508,0.6932029031415918,0.7447960376202234,0.6855230785681458,0.8654543633049743,1.0977401243680143,0.8260673466838048,0.9169910250748252,0.6722276705383231,0.9774814227419503,0.6804530829721883,0.7383477781640303,0.7852311819416482,0.8625437093526559,0.9689376324287058,1.0606257299666613,1.1922739810750225,0.954515136600044,0.8879583379716182,0.9136511328827219,0.8740286656678115,0.9657515121878443,0.7767603000354633,0.92973297497566,0.7639749909379617,0.8358305306777051,0.7849025611028267,0.7690973441960005,0.7627339316993916,0.802481187365102,0.7613372698846164,0.8708366778040901,0.9299269296882261,1.1957032287789209,1.0756654881609464,1.3931396840614079,1.1373208690494485,1.3514101539095402,1.2226088891075937,1.2588216026407468,1.3412996323086928,1.3065194256099817,1.3233966972003184,1.2747267583915458,1.2284080697925992,1.0918360432754692,0.986982753956901,0.8598989768545777,0.7020615487857559,0.6539100059233899,0.666399336128843,0.8066530286315281,0.6333787429352595,0.6024125068149747,0.5747882027516444,0.5630838525864877,0.5639767447751898,0.5979970533447644,0.6932729017814312,0.8123061815653875,1.035593302788367,0.9865698567362916,1.0987646281883834,1.1310703407502951,1.1020094643480525,1.2328544783624518,1.0933788119011423,1.1311897491991394,1.0340590228341773,0.9802828224458264,1.1530193474125117,0.9016098074666377,0.7885317646923689,0.7065051223125364,0.8403468416572119,0.8653796801520778,0.658154358883335,0.6954148569001524,0.7489270912968023,0.7414207627714375,0.7360050678170192,0.8269306143951287,0.9444512382363486,0.9964442231670868,1.185865909961501,1.2082500279245687,1.4391814526184474,1.5748395547593983,1.2784465761960884,1.2493906953588216,1.0925111038623696,1.2052356694560882,0.9961703428161981,1.1293197658898324,0.9305679894382193,0.8409287645281601,0.7476739582908186,0.7782115102463336,0.835645717208888,0.8980670624199131,1.0248981167653055,1.4208657627970465,1.5370209097070289,1.383302421564215,1.069887851354204,0.9293520534643936,0.881119610929904,0.889485315598966,0.9181001904574243,1.0644390259884764,1.0237887965294434,1.2265647440388925,1.0157381984439928,1.1166113179114516,0.992913285441403,1.0391253267017837,1.0788762738347055,1.1087188764244376,1.0159302382481914,0.9466912518936149,0.8331600710407577,0.8965522118542861,1.370368614557021,1.1079991235816586,1.235085768826437,1.0334282108120194,1.2934295267330524,1.2684083880657746,1.1365039111779465,1.1988546421927886,1.203018159966366,1.217605989531339,1.2671422963909653,1.300361508127017,1.4885190707900753,1.5461091237160292,1.417615356568119,1.4699356448349803,1.72187759042436,1.75956119980995,1.571842099210622,1.7539948687524456,2.0727497396431995,1.9793057736131132,1.927879472354298,2.163347868109252,2.3633634115472275,2.1051526432089522,2.2071497203900936,1.9140546691487628,2.300970473021428,1.7061529561297626,1.8036292813821455,1.9844751722807892,1.9860892333120987,2.0430879593626825,2.1972822772234166,2.5920793877695285,2.1066115013150166,2.0103720062782906,1.956957447568933,1.8366660524857625,1.808751270862954,1.6563182711170663,1.5832336440450638,1.6322532191925745,1.6074604611513985,1.4337800977184774,1.495138505434586,1.5919686479524005,1.4239818374314293,1.4675798419246995,1.3545313699722616,1.3649048497455603,1.500234643603864,1.7150928850296592,1.7964573727702657,2.0492089152062465,1.920776064839224,1.8203516533666033,1.9864604319700272,2.059863052085426,1.9592603358578204,1.9942339982233015,2.2173049150055912,2.2780110436362726,2.2058093907627145,2.292758040333305,2.450601431724499,2.5802511738911065,2.4004742971723556,2.441520323597961,2.273687311579373,2.196303653199809,2.0368219665663294,1.986629455822473,2.0934737677066884,1.9278369484694324,1.792657549555717,1.843113428657893,1.8344992619113416,1.6212847674407882,1.6741859490456732,1.8476232560359656,1.5838659394689247,1.5144030402089905,1.5878402793021202,1.6783610272519698,1.5588315126390953,1.7699960392977099,1.531366121960829,1.5866298042891573,1.708971594590855,1.4291839107168982,1.5150323207948508,1.6092864870455303,1.4225156943893735,1.485448265998063,1.569923413973548,1.7687911679915258,1.4043408461254083,1.2180176151564186,1.2176195767881246,1.1545254720148872,1.4161261158651655,1.5276774424105337,1.7458473360053681,1.5807113443391303,1.352946769737096,1.6564846064350747,1.559686341871902,1.2527183330454617,1.6843980435407904,1.5645128680934595,1.458630320858861,1.5007503719238828,1.3249292514855637,1.834947703985261],[2.168649437603013,1.9197545267828198,1.8610897770170252,1.498566703958244,1.7482637252028828,1.95290054984802,1.8891783265185715,2.0875245386922656,1.743823767753236,1.5358261928860533,1.5404097610541205,1.7928377861501035,1.6948481643898907,1.3568962431718634,1.527753973101972,1.6552053187635738,1.5256663188336894,1.4861202416678143,1.3361908801088098,1.4738939626439134,1.413624184918294,1.703297498336665,1.4464777168485825,1.40312489325177,1.3816185099559695,1.3751941246116557,1.4544117262444063,1.4816944635769824,1.6052951504561068,1.7780236119688846,1.6534017276373867,1.938456892070119,1.9924922374644989,1.8892235894966323,1.9079747977343067,1.759927909482836,1.9460917709895524,1.7741748807332964,1.6472381961385387,1.5772170098934837,1.471387755290481,1.5514908856017773,1.548088594650646,1.5500602775437133,1.375633265502414,1.6256493130607816,1.6845431204453936,1.6640092291431638,1.8774806071606127,1.9056510321303348,1.86870274608391,2.15647014534316,1.8883093091806795,1.865195735567778,3.043066128215333,2.096840938348199,1.6473679157362193,2.2712580332525087,2.6388259238005856,1.8693478879035925,1.6323917383197843,1.6614796729155672,1.5962363255535634,1.530059144485973,1.5521959269376797,1.5983673089871557,1.4668704437273907,1.4695485656645653,1.282961880863851,1.3438674291403785,1.339018265535374,1.3824282129302217,1.347620862178459,1.4047115162141013,1.466257750469096,1.6089600778201003,1.5908588491220552,1.7097206152882087,1.7892528640447238,1.8478543151922284,2.0229682978955728,2.056022656016858,2.167521249124576,1.9841428362227593,1.8274378666900912,1.9473787332749866,1.8685190128008944,2.012327632082858,1.7557633965211321,1.9284041289146558,1.714710900864304,1.6713243570601524,1.6699842400591456,1.7279306388393074,1.6997085634278235,1.6683685614300257,1.5851529821142885,1.8674341027746126,1.961706360655403,2.3008427890853516,2.1896436291866563,2.5237735054979042,2.276378341632361,2.485564460250174,2.297342179945695,2.3051474112111525,2.358974669288269,2.302424234601662,2.306860764468388,2.314627031651377,2.25082482488981,2.0765455340826384,1.9482595049524813,1.7178563744437096,1.5373097794878943,1.3845481193177984,1.393356701678171,0.936765116549977,1.1538512997939605,1.2564980327819573,1.1245648614191792,1.191979361207337,1.0478639435077017,1.2537755621653108,1.4437172640232512,1.6004429158428684,1.9205703789995263,1.8719274012859584,1.9988164608226462,2.0779121136360734,1.9070453445143,2.128470796428443,1.9097201122311704,2.080780828066464,1.812383738837923,1.6355107699009463,1.6447989340132376,1.3001928600524173,1.115620740325519,1.2953671443633743,1.167131869561929,1.224510915311254,1.2697256653251232,1.402613271737987,1.553127645134582,1.6173881812710444,1.5840320187170485,1.7611079861465064,1.9481090257426272,1.9983236349037607,2.263289029122587,2.288620490560927,2.564007841421736,2.5985613130042595,2.344185163697671,2.380765698555107,2.183382534921044,2.313792598265265,2.0714619636162386,2.190059295915852,1.8622826875211922,1.7938305936605923,1.5672000420970478,1.6572179197209995,1.5618758847827448,1.4141206984339578,1.5101584920093623,1.6066529754743333,1.7351085848997212,1.5434444177386626,1.5208473066116794,1.4166363314805632,1.6527996027333924,1.7811407999012738,1.918627612697268,2.132792565496427,2.083385846216968,2.307954584439366,2.067663061280641,2.176862489771787,1.79380138722995,2.0333386863831393,2.039557802878323,2.0208859998423065,1.8921448522408244,1.8203401410567777,1.6711770052165686,1.6159833052294592,1.5786235545741572,1.675624562657301,1.6569102706750862,1.6995607045223653,1.851716480531586,1.852756278102702,1.8226871496740231,1.8155339043282968,1.7484142844251729,1.942902563995884,1.9765361000738055,2.1464731584735093,2.2672510008476636,2.4179819171772685,2.322740710587087,2.2110787609761706,2.4527785589293765,2.569657061692966,2.219417047652078,2.382651907611335,2.7620086207131203,2.699265376487667,2.5324399318073034,2.7217381099167546,3.006867909730762,2.670679241848645,2.613451062951703,2.306108075419957,2.6714402382410882,2.0154291703246248,2.238290484997526,2.401122044273942,2.4190650178475197,2.3832252204241677,2.5485481605617104,3.0285793318634604,2.6272022760128673,2.609822660538577,2.6697552807572245,2.5042013202670326,2.389517363581147,2.2758883693174634,2.2295409405326505,2.210287204535327,2.1136483792630774,2.029883573215084,2.07615599214537,2.011431574496333,1.8881264344221176,2.0331564917529454,2.0186561350050436,2.137545147205251,2.265937012108055,2.4769368814875294,2.613963875091232,2.8861060129480416,2.776445281813797,2.656386735249848,2.7740242031263334,2.885249690887118,2.842392178925384,2.7860335068372173,2.97474713229445,3.041065354067301,2.9520773864082837,2.9680595569969994,3.1104312356347563,3.232828910063005,3.0004693188950187,3.001992222103111,2.8408197626400873,2.8001181942543045,2.7138545220395245,2.6189612102036075,2.6458971640149005,2.530578022798966,2.416849624144014,2.3608011202437575,2.335285372409701,2.1843059467080193,2.1533120910759673,2.2277608553295862,2.0028017565357996,1.973708784526219,1.9716610435477173,1.9768722240473742,1.856665222584385,2.081782612337431,1.7310508614700097,1.739835591971006,1.9130415238965113,1.748871908822537,1.9950432356531826,2.217125302030483,1.9751576654078755,1.9415523485982902,1.8343537911214638,2.0414885067667647,1.9257520148556704,1.913094892295227,1.9847596315411444,1.9734925746169805,2.34757875649888,2.5998282924935423,2.8593794753952375,2.668497811268431,2.390442041368766,2.725055053808386,2.728991003738555,2.316097422985057,2.616611573386851,2.6519391961884717,2.5402490994446936,2.5714908674685755,2.2973018751853336,2.781585524593737],[1.9441732810238748,1.8288586833393479,1.6517152583510808,1.3924725718033237,1.5601433788611552,1.627338089271681,1.5742682421365757,1.6744838820799717,1.367612241391572,1.221481328013931,1.1976626619883943,1.3947578167347001,1.3467882232595567,1.068253107619517,1.1864506996562452,1.289046934913867,1.2299354440360961,1.2049837304194648,1.120574298562709,1.236475870959538,1.1997893692020491,1.4528447805415532,1.2582405511598675,1.2688566940493435,1.2194125117950647,1.1914477782033344,1.2351683349988873,1.246810115970483,1.3133126596507732,1.4186463972782317,1.3032220686534404,1.518243806784737,1.5482103635210014,1.4766643960632526,1.4971903442234766,1.4071187721719904,1.5609073430737652,1.4740995875964336,1.38052578987685,1.3358192384927252,1.2924185708822178,1.3097156751626238,1.2892283129288518,1.3299031293452372,1.30645488400611,1.6882867606378973,1.763077507147967,1.488585213312978,1.7357055907757584,1.8805256614667132,1.7541519889590367,2.1604632273974804,1.7029264477091912,1.6614008667793314,2.6444928348362753,1.740268419315379,1.5140271278367334,1.9576924583028408,2.246091289587318,1.687779134693483,1.4107110623190073,1.3839045745072018,1.2893173160179385,1.2699718072418473,1.299480900222728,1.314684454423731,1.2658650413872583,1.2056769688214273,1.0877267215885196,1.0992638950025841,1.1549955303786776,1.2532069406381827,1.1181797651237262,1.1938784441311125,1.1839074534787997,1.3410142442184245,1.270899428788307,1.3431317944531582,1.4226367602916647,1.4861589251966938,1.6123656443637344,1.7122162180182938,1.7932348735049737,1.6152339545607248,1.471824641773816,1.5755178037998225,1.529725285538759,1.6259350289747188,1.4086958074414104,1.536099716559471,1.3472535525585418,1.3258903459745892,1.3061689326950812,1.3246571690367932,1.3144170945337132,1.2892114647978334,1.2362659590982021,1.439853220952565,1.5121699072343755,1.783610821900647,1.701495565243371,2.0055910180315553,1.8042431511297954,2.0131077180558825,1.8712875026722144,1.9061712190067033,1.9324927563988097,1.9520300604992888,1.9660339817270576,1.913288428083989,1.8745196855596855,1.7361631801717792,1.611238274519054,1.458460634063476,1.268437490030097,1.188060329717428,1.2043232831785375,0.9516028192419081,1.0502190042482116,1.0592287025020375,0.9703414956483646,1.0183352060998987,0.9456347520505006,1.0877375211584275,1.2294335116987845,1.3983684169036783,1.6456473308948234,1.601313824379323,1.7280416170533999,1.7733788537040758,1.6973714484775304,1.847159242749936,1.684898675523415,1.7776561050414326,1.6168602427206782,1.4863126769473909,1.5775279174773194,1.277991254588381,1.1166329223910318,1.1835999686348722,1.1088538131342438,1.1739709764170736,1.1355073202911097,1.2324515754466554,1.339408058093621,1.3546422768737296,1.3404344878266747,1.445807272199229,1.5939579346633073,1.615498919170907,1.8169939210060342,1.8010915297413888,2.0397375753145175,2.013787310966847,1.8083174581509784,1.85470023954288,1.7078261663350347,1.8272220572603879,1.6391096982529103,1.780974596511929,1.560709474643718,1.4804279898723918,1.3561178641890537,1.4029875758798107,1.3709860073437075,1.3550840809127631,1.441150015445071,1.6675432304542608,1.7844861416951092,1.5976608304025242,1.4697266613579845,1.3504992125967585,1.4550477121965857,1.511524623632813,1.5805249690160479,1.7302336171037953,1.6863633715351494,1.846221355551425,1.6798373044579304,1.7629329380915106,1.5387589567121158,1.6857204861648747,1.7269811992155069,1.7552139026592173,1.6417353671514905,1.5709879039479333,1.4349059024709312,1.4350343810688166,1.5738129559071505,1.5655655269931439,1.5955885139006771,1.5510337520852338,1.7416096447514413,1.7352944655894906,1.668337925653885,1.6828220104331506,1.6473396901549624,1.7637124147816001,1.803022132147917,1.8924664995534952,2.0277139810566296,2.1015029988752705,2.022195953814883,2.001327446389735,2.1900062499792967,2.2733479907796736,2.0707974739815183,2.188922517135377,2.4487677662574847,2.440315671895196,2.3529006885514883,2.4595637667111956,2.6645532412856197,2.52692549659006,2.453784134498281,2.2372695843929513,2.4713368330860446,1.905564668368036,2.0816196973783483,2.1919838494234534,2.1591527224467364,2.2224417242419974,2.3099735584337218,2.7452315656685258,2.3669644041485998,2.3092734615747887,2.348835653480079,2.216347870884853,2.1541136031690833,2.0663030840532506,2.017980499685133,2.028036821090386,1.9689319102158462,1.8875980844532108,1.933679308943977,1.915872212518798,1.7801793298013302,1.9029989548065191,1.8582362102671928,1.9080658815635847,2.0178326789045213,2.1873445425055267,2.265898179185247,2.485513765882891,2.3670838217058656,2.299111514221937,2.3832095854255773,2.4425527631917587,2.4185996598682533,2.404071244427167,2.531977251500399,2.5743163801552327,2.5491814500825978,2.55989975718205,2.640677294697588,2.7760629001074846,2.60890322327808,2.604293316237523,2.498833931968153,2.456605717318288,2.3751194269153126,2.296479601323513,2.3438349695152145,2.271563614497803,2.160324159834629,2.1329293494909596,2.1322184098974333,2.011351601935445,1.9779355387630733,2.0766213692827336,1.8877677446109549,1.843767545039038,1.83392551847149,1.8660721348192433,1.76771553353105,2.016349329812669,1.6677368961585317,1.699611729810356,1.8377240155387482,1.6877308748806454,1.928978890804738,2.1529216073919413,1.858432820570059,1.851574523845148,1.7774571254420988,1.9584533385262173,1.811696143167932,1.769653529602477,1.7900145662567464,1.7478665622965401,2.0566455661909533,2.1882642277678963,2.393387324487817,2.1456911708124733,1.9843629634788775,2.2817731297582013,2.161710267565708,1.8341438372284835,2.156729172983524,2.0489688848399865,1.9180328650255831,1.9929086483576337,1.804397186763705,2.1632966252389427],[1.7354723086960575,1.3910692531271136,1.309785069354311,1.3899403777717638,1.4634252705669704,1.5047177250927173,1.5136837291635308,1.4733773835707218,1.2950287979395132,1.2652579972439413,1.2303112538251977,1.2990811164520562,1.338668263053506,1.1865580910642475,1.2537660420916537,1.3090192917047856,1.3321531878007555,1.3356643874469674,1.329647165209504,1.3761899784059075,1.3883606836975757,1.6236265322019077,1.4682283052779226,1.4765527914162502,1.3977102207741126,1.4087347180057816,1.3898623418766598,1.387171586390368,1.3898402044864298,1.4058302742645459,1.332747708514924,1.4267938169642862,1.428216591331999,1.3981550046309776,1.4295720587835787,1.4154091416330303,1.4747686492065066,1.4911784426778736,1.4085379233114954,1.3027648057317873,1.3506538759776099,1.4235767458894948,1.3752725349196564,1.3855119330820165,1.3077661911512062,1.5845871865024586,1.6219919976439365,1.5043793254447462,1.720815461304477,1.7605419652839875,1.6508433437703178,2.0014115538311383,1.5869187036855694,1.576665890212308,2.6063910870523173,1.7113182336330997,1.4809325934953192,1.9543327469663185,2.266289708525419,1.687835516204449,1.4551650844794286,1.4431902527806768,1.3473102262933319,1.3983293517754323,1.4305208933764508,1.4147494361115802,1.4355423901475821,1.3436762072080661,1.290234356759688,1.2838541537606112,1.3740697288236576,1.4240301135552016,1.3029885674827704,1.3841282298276167,1.311569933908688,1.4254523709849383,1.339367959925035,1.349345266044938,1.4096008285432915,1.4795969977176837,1.5289754785207892,1.6296941105800442,1.6319647534102268,1.4573811752213441,1.403210481879193,1.492878171136365,1.5141757340890678,1.5244274867514014,1.4225547285211992,1.4821536465344314,1.3659921705634082,1.359550518886931,1.3296390672877008,1.2984772355270824,1.305700594548089,1.2917134974005366,1.2610574787008757,1.3332583637941462,1.3583512180618533,1.465701628713889,1.4624655465429908,1.6520087969573283,1.535156954536629,1.655549972194232,1.5279806858720493,1.561353430250513,1.5075099887459524,1.5369257189070298,1.5469037390621543,1.4887472421148142,1.5161463782977482,1.538811955299033,1.4985306940253367,1.4575882546415522,1.3544475453798739,1.3451367174217126,1.3744856406982984,0.9871392385957303,1.2620008203690105,1.2572614359567698,1.2044931358158926,1.223278205626861,1.1703617274007272,1.2793052991815106,1.3554227355369886,1.4532923904641457,1.5114634632894608,1.4557389183006102,1.4784166145041286,1.487805367367359,1.4248772791529298,1.4845348410269952,1.412625636138235,1.4750363328957317,1.4221196653706938,1.3511248002688188,1.4449480552680138,1.2320178240561352,1.1464546957538377,1.240906527381298,1.2624245726933225,1.3083501751405808,1.2990335677315061,1.3640746796388346,1.4269697666877115,1.4066244801199215,1.4000016844130467,1.429278271689858,1.4808860224306595,1.4833084426036474,1.5276908125924384,1.4983609965104003,1.5906859378615252,1.5501781826730778,1.4319188029330823,1.4950517914058075,1.4683957154926555,1.5235082829283149,1.4555104850933676,1.5463168159983045,1.4462675843564254,1.4236794920294724,1.36513714942543,1.3693905197307767,1.3165750501478737,1.3226349926225152,1.3326319490114131,1.5033338647532293,1.6276131195576171,1.4697897343284085,1.3582653516086476,1.2744124985658,1.3496574713014065,1.3799605186690467,1.4313300335895889,1.501844653194833,1.51468135435072,1.6086444223476988,1.4950459468488817,1.517924726232797,1.3598760967306975,1.4461253300811707,1.4671309482997785,1.510579512061968,1.462000522211641,1.4497021348313734,1.386518914576718,1.3451099851527537,1.4931953110542813,1.4740659240590932,1.4710237729075255,1.4270557725175346,1.5787178190684632,1.5398958577042297,1.4121367430416174,1.395697055988595,1.4149760027163851,1.412124206873427,1.4099109897345656,1.4546837044703007,1.4926181584400182,1.5332667097100006,1.4895727789403346,1.4516550242638027,1.5967241561293166,1.664170255025478,1.5211361349147414,1.5811086478562733,1.8516314329216512,1.8199870286200943,1.727559866183673,1.9064097199490502,2.10002771119907,1.9119977857779744,1.9699677430385927,1.6820243022089074,2.0126779390662506,1.4260779183112955,1.5325154928840063,1.689046327822684,1.6746330104976677,1.7481792873828714,1.9235404244987533,2.3027859373057518,1.859797699843862,1.775134999811472,1.7863409216892945,1.6746360134303901,1.6125596194246503,1.523806665701435,1.5232551243374175,1.512403474627008,1.497591840996231,1.4070899927924634,1.5152146058898335,1.4965508938332253,1.3670438606464683,1.5516295647955376,1.3802984066504533,1.4542849659294448,1.5189064366142813,1.6449310991009152,1.7302436291668593,1.9003169666695814,1.842308413041984,1.7710847199964126,1.8002367406253523,1.8727450644780532,1.8426927932483874,1.8195849305160008,1.9533951582405373,2.0137541622204678,1.9763976981282319,1.9902840648278548,2.090737384222484,2.2485514052524613,2.0671017339464446,2.0674421407482484,1.9543045775663008,1.8915081258710582,1.8014498296083947,1.7338173096003038,1.7814305390565406,1.6886388412211817,1.589598015193382,1.5823109344018114,1.5705187957224085,1.4625167769260452,1.463376948527004,1.5614822341193448,1.389839637480052,1.3676213463211901,1.366778208868105,1.448035015022485,1.403926623571209,1.664025651130977,1.3939828367543212,1.534395492122359,1.4254301541800702,1.2073705698108301,1.325478204171702,1.500884228053248,1.375702975283758,1.5350091558294479,1.6214474413683964,1.9051414686609949,1.4663381118548116,1.4285020078758597,1.4233603904415983,1.494156756145592,1.5191021476683533,1.6334631813378604,1.6571060202899053,1.5330989875079468,1.54460687874225,1.5990695808655213,1.4518208872022216,1.4570321264770687,1.770670943998901,1.3381710981586337,1.2721270111397316,1.4652286215333195,1.3403973886384313,1.6442247080337113],[1.9559061583237243,1.5842609327084392,0.8714317529552488,0.6578195906472133,0.7946428498998618,0.8175255026391491,0.8003683852160464,0.7822785905691999,0.6631599141427195,0.612707113105801,0.6127495446102547,0.7140733612927657,0.6588158661573101,0.5482192053396542,0.6160784712272016,0.6171254154867611,0.6418055409533943,0.6619538974392929,0.6688441564095582,0.7069236084937587,0.7232282916461197,0.9197715358244344,0.8565095642786567,0.9081929394209427,0.7971403479139997,0.7559472682105366,0.6951869253954966,0.6904668189788603,0.6879324138324043,0.6877894450259745,0.6837405712351676,0.7363560318052502,0.7682763670880459,0.728075835907978,0.7165588014113875,0.693561584872928,0.7396486526510657,0.7664300930537176,0.7025945320177371,0.6976830648815469,0.831542528484853,0.7400777853930601,0.7179859993286662,0.7837524007780343,1.1224631375524627,1.7428070811121212,1.772193130787067,1.0355967547139446,1.352708077947212,1.6322719488358528,1.3414006072220521,2.0491541133618476,1.2750296707030766,1.2065980229502045,1.906704620587029,1.0276923324334823,1.3374640529787294,1.2805346378266085,1.5458430578772322,1.3488189566375177,0.9472084811910255,0.8119806217519828,0.7106985980834426,0.7821255304167821,0.7491442389559237,0.7241758564688047,0.8537575510365986,0.7156021153376431,0.7839029367292093,0.7190051569101318,0.9190584608336656,1.1109232176582349,0.8410965767331878,0.9405850973113642,0.7106692146170143,0.9775451829455215,0.674504703069659,0.6828745708672209,0.7097499014870392,0.7648924347967769,0.773208832985496,0.9424962767248042,1.00798123272812,0.7478378638835995,0.723735688552722,0.7386592678720498,0.7625901886718005,0.8090240310644242,0.7042260105901108,0.8020531444176263,0.6931212913213892,0.7754776592304123,0.723779114945522,0.6804138542945866,0.6842464435739327,0.7426289006631083,0.7139000030484752,0.7244247433506517,0.7334858809372076,0.8843798575796158,0.7890407225664519,1.0155054191444455,0.8099316866721079,0.9537951757427495,0.8966870575412925,0.9042299887240741,0.9222101375088974,0.9407868178540887,0.9372538010684969,0.8817127260612507,0.8481653811365509,0.8160174889483232,0.7609320212633633,0.7462594457902191,0.6454947348603843,0.6604599870889015,0.7148708924007473,0.8619629605055195,0.6993221369424927,0.6620595230129194,0.6472168789006688,0.6327014924543519,0.6128263296929927,0.625903479358726,0.6643097837477797,0.7341969795526003,0.7931842839643473,0.7611902747213578,0.840456741983631,0.8629434386805432,0.875197504176165,0.8810146245745747,0.8841662422558685,0.8639762797524895,0.9107491968632094,0.9694480494125659,1.1527535322132836,0.965544434737207,0.8447165732616339,0.7441560545981434,0.8415199148068496,0.8799316269126571,0.6913806032861576,0.7069392281071077,0.7277381229309138,0.6971497272132483,0.6973447203519962,0.7048049706622163,0.7350446783465261,0.7579669268207584,0.8230773777355287,0.8573552425899394,1.0158688674165275,1.1756413547326894,0.9432063273363667,0.8723318260181642,0.7873473708186439,0.8321707047989152,0.738678057079263,0.8191982779373624,0.7815804296563855,0.7110204048285158,0.7115249108685353,0.7095363148643025,0.8213928811783345,0.9344651206305578,1.074302136995214,1.5079553293975279,1.61455325152973,1.4672626596549827,1.116999817270887,0.9886072551572181,0.8417898079509668,0.7991558431003817,0.7392735427368063,0.7906022918174965,0.794984241918343,0.9213483502870191,0.7886011004697615,0.8276402659437178,0.9443379877247708,0.7975308105083606,0.8400305407716724,0.9035577139533034,0.8640525430734964,0.83843365438284,0.7771833744333937,0.9180928612957242,1.4669629373682551,1.146428421660572,1.295247464706068,1.0162679773833247,1.2732409404018543,1.2298311744629442,1.0344368272126516,1.0972353873682927,1.1162820398401956,0.9599675508461102,0.9752439526813644,0.9169736905190224,1.102991449746813,1.1228242236377963,0.9917352922484618,1.1011862771023428,1.3339214156385422,1.3803998293709014,1.2970626653334003,1.416389941003137,1.6926381419914456,1.6761463367699911,1.6355116673907422,1.8291749220816294,2.0248062559365456,1.877447349315815,1.9454983482525778,1.6897640229412627,1.9723772126996886,1.397971134108353,1.4590457634763443,1.62285509904587,1.595157408072604,1.6781208015181184,1.8586432472900747,2.1790875970947097,1.7089879809655801,1.5746641447414058,1.4996012138566006,1.4055044311801712,1.4072925332187087,1.2892632353140878,1.2818876160473134,1.2941137717071045,1.3304324674431784,1.164514720396366,1.2149544861305688,1.3487718742540178,1.1665783180670297,1.1910248309376181,1.0236056066411021,1.0514820612313485,1.1406785325363926,1.3200886554758693,1.3734042883328592,1.577438574335335,1.4957632476517635,1.4021518348676048,1.5313135962907303,1.5971330219135276,1.5069149994176483,1.5716954308060878,1.7709870258054516,1.8509533966207505,1.808486181010082,1.8593136707262934,1.9940645296227242,2.1654153786045556,1.9808860689098455,1.988322898525238,1.8533800060944254,1.7612947563184047,1.6214194935053095,1.5650540122799161,1.6540987820295008,1.5411453538510729,1.3986608531576594,1.4422516063922497,1.4458345814668796,1.2642467356870632,1.3081537583607907,1.4724756462661672,1.2585824534591696,1.1741393944161402,1.2258074918867357,1.347439652653814,1.2856903150814778,1.5151434211616353,1.327798408857665,1.4422548589406685,1.3932351761160116,1.113550750234138,1.2193801134972804,1.41616370802998,1.02156416460782,1.1221786716251556,1.3499156666994416,1.587358881678052,1.0719843952799468,0.9439772850547109,0.9057321871200471,0.8805701782894069,1.0216871516268842,0.9828308900605958,1.0881943866514603,1.0441349438425809,0.8743573416196778,1.0479235149354207,0.9330864351460793,0.803695948380447,1.1602860199578442,0.9380536873234562,0.8920278735505135,1.0307858750005126,0.939420628575916,1.3302545817187235],[2.218361632005285,1.7473697098643175,0.8224105094328259,0.45730247118387374,0.6760691460671392,0.6929913981140262,0.6909717562259255,0.6493738009718445,0.5816348560904856,0.5504435081712276,0.5553193037106093,0.6213420857736501,0.5870649555999868,0.5056785074383435,0.5682466050952097,0.5578731437020992,0.5973711930153531,0.6164974019238595,0.64248597257213,0.6524388403178281,0.6913277585711779,0.883417616549425,0.8414104583775126,0.8800095666316996,0.7484015248291329,0.7188279504987951,0.6319338619863646,0.6254076029385317,0.6197498958799967,0.6079772247890287,0.626730366704575,0.6585971138854656,0.690189419270352,0.6532084671489051,0.6347044515535737,0.6262748057727545,0.6436001162914096,0.6765973423069396,0.5997772782683936,0.5779509603875289,0.7206632962585865,0.6470174766148532,0.6256467322656604,0.6755034992614388,0.9959477479310791,1.6242416720470916,1.6067181620719613,0.8727612701801333,1.2088432378625746,1.4304233309714702,1.1159750980243663,1.9214794693193105,1.1591705916858994,1.1000600064514863,1.8402371663439596,0.9440265767091842,1.3420519260909447,1.1762620086514226,1.4950196655078307,1.2687673425782633,0.8401128076727704,0.7138764783175572,0.6357725558273418,0.7735360833341278,0.6782606606755786,0.6708587185889616,0.8363722944706689,0.6805659214786921,0.7667461099878828,0.6970895836014885,0.9089957662754594,1.1122775745032545,0.8329671953136081,0.90695941162898,0.6744083309295242,0.9796457107904112,0.6186333099216557,0.6286358742683937,0.6448618646170984,0.7103644923390041,0.6889007820282362,0.8020113974509913,0.9800945217116972,0.6490718605976245,0.6044369634376413,0.6261534196857548,0.6541837217013903,0.7167247093822994,0.6346312821453428,0.7326302225386022,0.6509292554226688,0.7339441782023076,0.6866303682257109,0.6227686026116825,0.6209274206796298,0.6911389017827834,0.6605770962968985,0.6441284215096998,0.6439921858929861,0.7603172965523614,0.6594652201583239,0.8772193641627556,0.6819268983196437,0.8080792499586334,0.7975899766266225,0.778174773729849,0.8294644788340411,0.7821710830516312,0.7875426723167548,0.7716864055348212,0.7045550186459827,0.6882212372452211,0.6440115485817899,0.6527277452294866,0.5841763705158481,0.601041177848157,0.6582083905434328,0.808040061213911,0.6520293869555811,0.6444055838528953,0.6113402934540709,0.6018585856566608,0.5577035693136557,0.5753105443025275,0.5950429552630842,0.6283289114657936,0.6898486472523582,0.6352553214438039,0.7092952059700048,0.7410507441062919,0.7405100084308582,0.7397474095600384,0.739917715073736,0.7501476051385896,0.775290485857775,0.8607253497261356,1.0495508195222656,0.8616709444796745,0.7429568979000493,0.6246095145031896,0.7371021324856926,0.7418569718917437,0.5992654830653454,0.6110898426477562,0.6297026370449873,0.5960397300494914,0.5942741412633786,0.6203651184710608,0.6183985514934232,0.6421733553569154,0.6782859506014411,0.7102356125479987,0.8649290398242697,1.1245082362841763,0.8602886174414287,0.7204830748075469,0.66206500472254,0.6983584858627859,0.6317508379694,0.6886859731355651,0.6737517565355672,0.6120939502879862,0.5887326965577088,0.5848893950488425,0.697199544324801,0.8020694186573022,0.9389285294090336,1.342225271049723,1.456368874017566,1.3459240514664241,0.9952100086969171,0.8787728934391315,0.7121216755342655,0.6756126116504779,0.6028407689220502,0.678498252823486,0.6706860255685217,0.8575306177364469,0.6714745846974836,0.7496601842875811,0.8782218190839964,0.692418712946812,0.7209369206085392,0.7401983153747934,0.7078869351923112,0.6951848894256812,0.6530097547631663,0.8297131972902844,1.409626516860103,1.0552257659503022,1.2216394719928332,0.8678890608520483,1.1329203572590432,1.094307090419687,0.8857346414050226,0.9626643174974261,1.0163851168898717,0.8187677083495978,0.8427536538619231,0.7962399239784863,1.006217660078431,1.082965777994115,0.9089827062623279,1.0169769765415644,1.3046957249090705,1.3780316130818364,1.2629769086995593,1.3779578271996036,1.7157231091962724,1.6787856244232628,1.6044106207687527,1.8300391404236394,2.0547206266425846,1.8761964136115503,1.9071261287077155,1.621312207250762,1.9531302773624335,1.3250848233323702,1.396155668249593,1.5942060503179714,1.5539270204719435,1.6994705913694894,1.816748459062239,2.1350315852179915,1.6638686300058037,1.5458073542883792,1.4793043016200178,1.3653874269616049,1.3262248242048007,1.2094185911664608,1.2262332460003178,1.1499143590115988,1.1981569259509486,1.0411741366007163,1.1386605254078668,1.1586094822971575,1.006995679200716,1.0660552548235465,0.8842600402251503,0.9588705976339464,1.0648424061239252,1.2760553155997765,1.3585116708377767,1.568016426807,1.5262655484076337,1.39742663617331,1.5637902018647458,1.6622140617158343,1.5460840398275761,1.61749499610887,1.85988524227025,1.9588079068963073,1.8856073889515472,1.9279081847654722,2.092260310176454,2.2540795849039847,2.039865543001875,2.0406196180576517,1.8844104111258038,1.7910647821365053,1.6471141977816273,1.5755774650025614,1.6450835156805104,1.5182371828054029,1.356565725140057,1.3825101705286413,1.3781383413732047,1.1740874054991175,1.207460479370886,1.3521069632492722,1.1369400468140771,1.0339485968277689,1.0634437923434015,1.1791363651163267,1.1361836922420698,1.3554742833644795,1.198855507514621,1.3740611090650185,1.267051953586208,1.0059642000019053,1.0931116202359241,1.2388746444745118,0.9235943095576193,1.0094283803707327,1.2570481482182707,1.566463231534873,0.9535371839728384,0.8076806051912321,0.7881103256654826,0.7829112613590489,0.9389792322738545,0.7771302789013268,0.8184062306885224,0.965222625056595,0.6714431845414432,0.7602161462921136,0.6185018229570883,0.6038091100729971,0.9392378508391044,0.6486747611478434,0.61354855287671,0.8218107070389771,0.791820547456939,1.2164551186068508],[2.215266571229202,1.7743376585540298,0.7983629287518921,0.41126829339516247,0.5778943601616053,0.5790469563900971,0.5446822034314913,0.5183702322719187,0.48861657029556815,0.443979354587064,0.46348348960772334,0.5256267974935107,0.4641235260863934,0.420748214374056,0.4768305919048232,0.4546947982201116,0.5165720654542952,0.5317716023852401,0.5682227874085778,0.5594252350575913,0.6029730106691142,0.7942358685210145,0.795146380888041,0.8498588344884828,0.6702238471321378,0.6442311899918594,0.5521880556618031,0.5210451550736027,0.5088776736452262,0.4899429760068374,0.5407189097147237,0.5429185105100338,0.598025344550604,0.550299605181193,0.5140104563976968,0.502380530755511,0.5036390899513113,0.5594945756118591,0.4848595474728871,0.5007167058989217,0.7162619490849813,0.5977159501890514,0.5825611015347093,0.6890542997504949,1.193666209289067,1.873065468946414,1.8938174666422518,0.9625010320126713,1.3184018704208924,1.6019976291081923,1.1825152808033312,2.1724812428360596,1.2750691003289618,1.144362419712032,1.7086661954232132,0.8120264620315601,1.3852062869020136,1.1043782294984132,1.366394377736375,1.290646540729519,0.8536384511263009,0.6490366796261132,0.567714754337366,0.7263538722170851,0.592022697318094,0.5676656332867123,0.7608207528203706,0.6185949774845604,0.7609058837802305,0.6426023262388617,0.84864612543277,1.0894659009204866,0.7953834502612513,0.9450849639153456,0.5954866241865132,0.9665118218903154,0.5427272508945664,0.5355371742976045,0.5352762833337193,0.6043968772751713,0.5452581848728405,0.7059607729951382,0.8897527718084302,0.513233011133857,0.5390092962097395,0.4950442011736801,0.5303760964863367,0.5719721378974518,0.5223002721587902,0.6373615183488494,0.557328805465442,0.7108104854065209,0.634016076701916,0.5318389767007143,0.5295388602890032,0.6095876408288425,0.5922011522735855,0.5477501136512793,0.5323841623913868,0.6680475866731203,0.5431429099786478,0.7653778352422912,0.5379144264812309,0.6638191181318008,0.6888155544321828,0.6578139217443041,0.7483113899610631,0.6685349218146545,0.6745502395221201,0.6886781772818509,0.5903870685863425,0.5476817533878362,0.5057276323723294,0.5372589083499321,0.49133413300185363,0.4894075560367456,0.5445741359008742,0.7486818433268247,0.5981348424948019,0.579707480739277,0.5607301193487833,0.5323039447428561,0.5140988831779574,0.487463644321934,0.4883836308638971,0.5025765532573117,0.5620089346231377,0.524700449448336,0.5939865692401396,0.6396614698716278,0.6487405047763232,0.6270294859604686,0.6768533952606622,0.648233425711861,0.730095742999403,0.8600233242360555,1.0076227390517252,0.8275359618002405,0.7270081580683635,0.6581565416451856,0.826551980035008,0.8094462284396968,0.5564645768676121,0.5522938716577527,0.5418009283548068,0.505773179091015,0.4946244554410129,0.5213485883299144,0.4890347431905507,0.5213077560989116,0.5628332181616489,0.595113861131123,0.771318248462615,1.1849932094220665,0.8486051328199905,0.6139930109599369,0.535681108540964,0.5747047344146688,0.4939813968315667,0.5603762674875379,0.5871413498330774,0.5171146398939599,0.5220603066623078,0.5068533524930247,0.669492629677791,0.8204703573430803,0.9492661863694215,1.4142780391869387,1.4958509752628526,1.3939498874059808,0.9994177501594758,0.8966940848059606,0.6828502031344869,0.6122017125173342,0.49100432110262227,0.5457129691359952,0.5382259159250562,0.7294422592638877,0.5330476452705893,0.6086091722133313,0.8795798704495376,0.5838447082367352,0.6126040760087336,0.6381340375461175,0.608497779537763,0.6141883587174363,0.5981357137635355,0.766465524608071,1.4620877663637883,1.0294695673558205,1.2346525516350393,0.8606896675443051,1.17178928066893,1.1063335814982336,0.85544854687961,0.9478505099913229,0.9496715146148723,0.7300908522238375,0.7617101280592363,0.7023082782896242,0.9389134817964758,1.017253586024746,0.8316183619352339,0.9676912057823146,1.2710398961670486,1.3414682594186902,1.2418476410959787,1.3608298844398563,1.7184856081255226,1.654848016595407,1.5977549015481158,1.8601335538062946,2.078357429441799,1.8685735365110239,1.9602593558031287,1.6596531335784226,2.0282273489141724,1.3694465990092048,1.4209701769957594,1.6411429738609693,1.6008500928451315,1.7378932134672147,1.8669914959668774,2.1642072629867206,1.6674758423515035,1.5378906625717208,1.4423986187537545,1.3252943683268106,1.3085780337667052,1.1706541782623967,1.1754484620145973,1.1214886620740097,1.1740182146908846,0.9984903117331527,1.1010310175864497,1.181284225722038,1.0246349601252065,1.044141291199682,0.8362187853354417,0.8766409285842537,0.9825688454313004,1.2199866427231285,1.3047779565717519,1.539408780728148,1.4941619065728071,1.3446648717266756,1.5565652053925383,1.6734868465608927,1.5250898692950896,1.6129031548853876,1.9065401578764765,2.020986581388949,1.9128556082751569,1.9836317418839464,2.195408430560151,2.3444718367546233,2.115648504852492,2.1409398793585703,1.943379739354648,1.836206560639636,1.6568894853888083,1.5874324512948894,1.6814779348532405,1.5219953950712344,1.3448814107570297,1.391924764380885,1.3900324061433793,1.154316098724382,1.2059221365406516,1.3829434462233243,1.151335687688093,1.0427750275001635,1.1039645697259555,1.254188838153558,1.183773696535099,1.3988618864319433,1.2834889516491867,1.4036267406656595,1.325825838947382,1.037974964633735,1.1115194604152099,1.2549941337658286,0.913407473132946,0.9920610928893183,1.2739838373777326,1.6045477398462293,0.97323957847722,0.7400040678512068,0.7013699159918497,0.6764833929176421,0.8863833375661507,0.663321398941712,0.7173612858304754,0.9964133104481934,0.5558535584318265,0.6597145011786282,0.49553668726119227,0.46763259502555266,0.8238561087803042,0.5558861119349342,0.5234938432625901,0.699173763738242,0.7607969783250321,1.4093686956946112],[2.2174673520924237,1.823887712019281,0.7248035381317738,0.42634278513180596,0.5581123616641483,0.47970893445356155,0.41884218432979736,0.42262423947566025,0.39987889465588566,0.35672802854000923,0.38552433615700354,0.4715807537604399,0.37304752238779243,0.3472341903578141,0.4086048891159063,0.37585646660482563,0.43787225016609493,0.45745183587459765,0.5577670868127611,0.4860361460629515,0.5777448376272047,0.7786521390732143,0.822296119141043,0.9008254855351637,0.6541828657490315,0.6369094599398261,0.5254622514313269,0.4537056258190118,0.4203093600785056,0.4027385762731161,0.48238968429743834,0.4736287156278647,0.5298604310928289,0.4984885023081236,0.4324063511752932,0.41842777948939547,0.4083343592108783,0.4474541135084481,0.3986002489032915,0.4037979956255171,0.6306797009394585,0.5682978461769096,0.5644507676156907,0.6777724125320179,1.2316503010923416,1.9280297412857061,1.9656426081197527,0.9638813465896522,1.3149269124798315,1.6161348549703878,1.1220211697589328,2.229302494627801,1.2792759296712515,1.1373858180239624,1.6627794002099068,0.7303858545365587,1.36477582982145,1.0487521542979332,1.294404224380671,1.2596050359714424,0.7690134566152939,0.5826316141720213,0.5343981611363181,0.7560170916437401,0.5774486686709767,0.540927441256726,0.7018637650327897,0.5817634664890364,0.7633922560956024,0.6302901618505244,0.8535339116498298,1.1229520433962021,0.8130915482216721,0.9683327553395875,0.5817270518187035,1.0220920871899215,0.5233167062928601,0.5074467622650738,0.4756112811204612,0.537303273471756,0.4906158324025197,0.5837319258533528,0.8728853903567333,0.4099224716722047,0.576863163080421,0.4066667737148745,0.453989912486996,0.4880845791230966,0.4413498067094804,0.5937883452118724,0.5132011351497011,0.7326421655717495,0.6155243705448659,0.4982199831268197,0.4858483645391907,0.58459431774018,0.5714532467739971,0.5013062544432897,0.48737453467721364,0.6527069315298444,0.47852415371330476,0.7131366969667392,0.45096135649771346,0.5600833943700552,0.5926481289551354,0.564506908128487,0.6577371881616894,0.5581151109791543,0.5673017435437161,0.6120096723115274,0.4813757342581756,0.43276643975080087,0.3906464895961529,0.42457696491215197,0.38535041268210696,0.43432586356322583,0.4587871007707,0.6725054703555884,0.5921338572589843,0.5320944769953694,0.5201227477611093,0.46522763526527067,0.47064666184122594,0.4132792421419379,0.38909693764920406,0.4139427225231056,0.434089019050104,0.4100331724535137,0.45619251384196563,0.5081439125834981,0.5309627441606404,0.519534396678523,0.5530952527652684,0.5183660402861511,0.5881963524065331,0.7250238223509489,0.8539388073839824,0.6825868958374259,0.6282463740534064,0.5945415126048095,0.8305983008403639,0.7978310765635191,0.5165585004184752,0.4803278428518096,0.4661446676029292,0.421209669835597,0.39067502074046,0.40260929306971216,0.3682754101014649,0.4319078182653896,0.4778708095060991,0.534807012399957,0.7238740441123971,1.2695063442506962,0.9068098687739746,0.5651747635530876,0.4722027788712117,0.49113850719996505,0.40217954894778785,0.4506620017685138,0.4828150046966588,0.39100406491721246,0.4006868850231545,0.3957923782627299,0.5439809346233915,0.7051036946869534,0.8196242113267671,1.2966679916124113,1.353313597591876,1.2604311285577405,0.8640995924472343,0.767623889192946,0.5447300915210267,0.46790663998129955,0.3576098710813658,0.4280980236781187,0.4282603658530458,0.6708425693556104,0.4058297984405162,0.49263600529562285,0.7705870940477643,0.4554837682427981,0.4871824359984745,0.4927281472338467,0.4786473878487218,0.5099637379416563,0.4862986842044705,0.6840808480419238,1.4343432096577868,0.9515020137622007,1.1540233976103176,0.7906774066876344,1.0946887750556114,1.0259363256341065,0.7567431035344183,0.8893752325351915,0.828136754099655,0.6190485118780276,0.6577829378796077,0.5974835466658597,0.8009049309071786,0.8896815384312463,0.709905930327863,0.845393348908953,1.156361657871487,1.2478439681513127,1.1745484566465747,1.2722946217651492,1.6412064219207616,1.5870767069234781,1.5318121593693386,1.8040701278666713,2.033020131360639,1.8301101961440776,1.9258189130807344,1.6112514538913651,1.9864775631000666,1.301769607725479,1.339612250177633,1.572112642288281,1.5136655510067594,1.6803902684503909,1.7933055377835545,2.0912019854799895,1.566292966962132,1.4176503507966778,1.3120970211559955,1.189554825761,1.1811147387956482,1.0384435810463672,1.0459132571121736,1.0095315234039135,1.075474780525335,0.8832346557597921,1.0580221803757326,1.145309016904308,0.9724261509118036,1.0108898149630028,0.7321482173779374,0.726322995571652,0.838514768747505,1.0871959796327102,1.1766807791384353,1.4062512925432602,1.4008187311489002,1.219166105764756,1.4530958425727896,1.6008401496250655,1.440453240029396,1.5242477707474935,1.8555146706237782,1.9888525959000787,1.8558134124137087,1.9335919268210116,2.176561907041182,2.3249545165013554,2.0774702931265696,2.1073082954872753,1.8854827381254322,1.7647986348948177,1.5644026303726417,1.4888076961388275,1.5994531610475964,1.4263733395730995,1.227957329866407,1.2852070149127095,1.292037730738143,1.041192649831082,1.0932751984516882,1.3007000242223954,1.0701631092547634,0.9755956534263308,1.0490333235583331,1.2219580447507004,1.1373936526377997,1.3257755966338933,1.2856203928464718,1.4064585386085044,1.272251685977953,0.9972149910130744,1.0374912152253395,1.1820796411008212,0.8795930450224354,0.9661761015495879,1.2864982514907186,1.6922917843346332,1.0182578906974449,0.6770866625279637,0.6061021478157349,0.5654440842298176,0.8234084622674404,0.5760129212202687,0.6502709307050495,1.0269352463142356,0.47945610018473656,0.6077372162788495,0.4302205979650013,0.3832794895447,0.7299477002922128,0.5017327871589862,0.4822431920101529,0.6294815595939934,0.7732517544554213,1.5803779734553645],[2.202781653093693,1.84413093478712,0.7128669174411698,0.42138280783027904,0.5127056324743353,0.41584116188186326,0.34526294121656886,0.362078305072605,0.3403456588847878,0.31184305215111124,0.3435181292342477,0.44629018115663416,0.3287761869540279,0.3217354571934301,0.4139522137828178,0.3614485875474882,0.4210527178189086,0.4504917350189599,0.5560266926641647,0.4808126979262289,0.5793242196866353,0.7395469820104914,0.830643017457269,0.9267124605212915,0.6523758390255321,0.6353306170405698,0.4961353210617097,0.4261036264291549,0.3972947831034771,0.3829166475438859,0.4953023611155645,0.45366714322332913,0.5416475180645215,0.5256449685097628,0.4183348782922839,0.4149732352520907,0.3709449804507112,0.41906748732451815,0.3663941756526958,0.37351593885227913,0.5977983596877714,0.5333161310606851,0.539751780202439,0.6775914049615605,1.2969709718070244,2.0154483603772007,2.0434593915012376,0.9563186203082722,1.3163969029939933,1.612843818430512,1.0572827859998375,2.302508009172328,1.3200332728733972,1.1347398474327228,1.5637141460309971,0.6921019938724143,1.4132043451794611,0.9816442469264502,1.237527334653784,1.2498504530851589,0.7939596795122889,0.5976477967547245,0.5705998318842871,0.8149902267248273,0.5944766937893984,0.5556587438902449,0.7221252351092463,0.5987514781214902,0.8041081306342398,0.6554730443734832,0.8634034457345381,1.1670783660728767,0.8414711393440228,1.004974521737656,0.6185467785243395,1.1104570724390364,0.5625066792564755,0.5531508049616158,0.5040291967684692,0.538586698117804,0.4748414318539453,0.5279270707624252,0.9163507750464603,0.3902782137848231,0.5845247661809296,0.3749837740376875,0.41902768183727235,0.460967173001758,0.4526433801972147,0.6018253385271356,0.5441729804555957,0.7854960338145878,0.6528703709906226,0.5319028667783786,0.5071612237037278,0.6173293848220371,0.577812531217848,0.5050414598347377,0.47620893020712773,0.6558819535186976,0.4576843236970046,0.6823118614284084,0.41315114454287566,0.5111696426561924,0.565147171532567,0.5157906211742876,0.6200424865061912,0.5036167358249035,0.5125505219634334,0.613219330395138,0.43993177938187045,0.36297506754542425,0.31912615978799347,0.36740765420114757,0.335174261398079,0.3933490753142378,0.43061740369665064,0.6708857782104435,0.615266836255453,0.5323854807469971,0.5112655646000877,0.45736397127104716,0.48635566859214957,0.3601354965058975,0.32113176676145383,0.33502625383065243,0.3850892685709288,0.3532798258896002,0.38766678781082403,0.45648720752478955,0.453676569936641,0.44115804912307016,0.48925865808617947,0.4817270178673407,0.539445036586316,0.6894400429460005,0.7754139964578558,0.616345785026902,0.5952435413275127,0.6218459977854515,0.8645272228899434,0.8115090330686229,0.5054644862869905,0.43766125341350837,0.4133079186182607,0.3857126006455644,0.342278230719032,0.3617961321673562,0.325898670688613,0.3808322832394409,0.42676179259550284,0.5070080771812019,0.7093004426084376,1.3875751057419852,0.977275532329677,0.5527713346178206,0.43546419663439817,0.44377015153829746,0.3678107646870388,0.41245663447801334,0.4742953707437066,0.35505650121641824,0.36453143653434117,0.3576221903723998,0.5060363978149277,0.6959814446002245,0.7807147832278287,1.2582314671570372,1.29217342726027,1.2219529413462509,0.8232486542289714,0.7410424404122006,0.5242944619995206,0.44749515478824575,0.32875370717539604,0.3883498636226826,0.3931250419044973,0.6581661070995936,0.3682998765807602,0.45658367159704205,0.7644944085865427,0.4241858017884361,0.45596208926056414,0.4269205587577225,0.42641845242818527,0.48497018653637697,0.4755419406814462,0.7111663557861284,1.4817420041917422,0.9677413562634983,1.1855775800792778,0.7869213949308888,1.0527466756116552,0.9758156783460913,0.6974144655014142,0.8507538868364827,0.7751334474819973,0.5516139769847573,0.5973506955242175,0.5375031344886347,0.7508050234130624,0.8718880478735781,0.6835588787356003,0.8188793333630258,1.1442589331074529,1.2501719935636293,1.1788047548303693,1.2646075328606983,1.6471506357297347,1.5871396229395032,1.5263008854442428,1.802216495218878,2.0335031415958023,1.83419957573948,1.9179517218267845,1.599684496399228,1.9844795660403762,1.2819960628656684,1.3229935548156024,1.563936769959949,1.4921843978731761,1.6935058404051926,1.768130801207999,2.0882816419595644,1.5479101147342698,1.400418600807508,1.2930306333961288,1.1653296287944586,1.1380659458865696,0.9975015329057827,1.007181969592134,0.9369567916170675,1.0201495379183898,0.8176883811225105,1.038767068909471,1.0836065567036788,0.9200042193224026,0.9668549858096022,0.672081858823542,0.6733188459251057,0.7888258652826069,1.056301859323266,1.1685867651405843,1.3967394349009337,1.416871922663464,1.2089451485257026,1.462519854118979,1.6350879727560645,1.4571662342688958,1.545431147151028,1.8982117337540572,2.0402219795244325,1.8820084883370696,1.9631126550927631,2.222894084851091,2.3595670381155207,2.0999450612772557,2.1341269402516425,1.8985491047247152,1.7766707295164383,1.5702358634475762,1.4874108448588856,1.5956654716928391,1.4144849475890822,1.204882324806383,1.257241156969307,1.2664841925835892,1.0069113179572406,1.0492278585589416,1.2598932153351712,1.0327406627985414,0.9271472573067713,0.995075989243725,1.1760604003179782,1.096092700326717,1.2712874889476242,1.26652233247179,1.3903547349726082,1.2380957873628737,0.9747990397390897,1.0197202590428425,1.1516246080059516,0.8681866575768663,0.9186147633771872,1.2414571616587156,1.675240792771861,0.9905083789566442,0.6400559332092641,0.5537953248981773,0.5166839296653717,0.8329601591913497,0.5065102659377191,0.5667322196350694,1.11340942203621,0.42427325035351676,0.537707999987874,0.38964961782694246,0.32349753297675243,0.6463586069358562,0.48026634245991795,0.4679590416278869,0.597367373289125,0.8292867315671834,1.8395704037284388],[2.2658806282930146,1.9460734733061085,0.6994867522665831,0.48669391913915433,0.5347134050821498,0.4229386758308097,0.38061831623598846,0.3996756766432751,0.3958045730989156,0.39279732732059125,0.3994340910911173,0.4992057055991763,0.4022433503279802,0.411370408461745,0.4717434550966785,0.43895310331458987,0.5146609126069047,0.5370973666841063,0.6534871970902948,0.5753171731208221,0.6823288373575143,0.840767277298489,0.9492846022140802,1.0578896829257327,0.7744208487787599,0.7419819980896326,0.6168775938100282,0.5389875445672876,0.5023241232498369,0.47188102557391526,0.5609768205425327,0.5109390092964438,0.5992517325890125,0.5858378300363942,0.4835236988928902,0.4991288545457216,0.4503103007254677,0.5339999221036869,0.5094551410539402,0.5169830685056152,0.6902590010215611,0.655568604544514,0.6690604615919225,0.8259378172748562,1.4830000157662575,2.211445993396366,2.273975904664494,1.130285534416613,1.4434908424814643,1.7899587235512204,1.1918194014713834,2.523456935448717,1.4940120926377116,1.2599840933551085,1.541975673030509,0.7977633202259813,1.503936874929432,1.0288510232426324,1.183904051891429,1.3665035051687346,0.9044149386291845,0.6728341469062814,0.6509017538743097,0.8667162700483566,0.6997217565827867,0.6141519339595796,0.7571027236122495,0.6723356319476447,0.8361371658296415,0.7029066619182013,0.888530901831286,1.1735882277475231,0.8624945332147453,1.073436082331195,0.663992972762256,1.1473593649741358,0.629598783900081,0.6248487803912173,0.5885047834779316,0.610717838974447,0.5275153074256523,0.6397739089507511,0.9100455135406763,0.4799410878626396,0.7075318917262503,0.47952025502333284,0.5381250215401597,0.5257625271639775,0.5436697559504745,0.6689934745720698,0.6055178132056135,0.8305843004247809,0.7106113305052835,0.5735699978170161,0.5541618448080795,0.6413748681884928,0.6172915287669012,0.5573680009117112,0.5122042875107597,0.656704887417899,0.5130475228413284,0.6561606778399354,0.45985264184293206,0.5125195837540049,0.5577503455747973,0.5109520135033158,0.5984459861399054,0.49878870184811314,0.48862863603520673,0.6283934761718372,0.4437779101015391,0.3900342988469872,0.3569510704066412,0.41883711064877616,0.43486294837747186,0.48787182784171795,0.5318239599103444,0.7201656803436239,0.7169029589671547,0.6207465626317169,0.6070648504444434,0.5652554360936619,0.6054830344910781,0.44444286565179236,0.38702464127051056,0.41152574411257625,0.40448230282866526,0.40024783356984817,0.4028160031665358,0.47362610172348096,0.47342099829580153,0.44833355779591516,0.5308495613500324,0.502474472662222,0.5840363704879077,0.7250974252549092,0.7435704976053986,0.6382578970893091,0.6602476272285008,0.7748543093130444,1.0247678339452166,0.9619331836219986,0.6376231803124309,0.5617219970220519,0.535561179471979,0.5072179584230548,0.4662795058670655,0.45024807074238593,0.396706553701831,0.4531771123009655,0.4648511625195161,0.5308885202125927,0.6934639723627638,1.4267620543930575,1.0095950221651546,0.5594872541888117,0.47489853141160115,0.46970834938037864,0.434921893799764,0.44813789083023464,0.5499688894457849,0.44919214749639974,0.49492173886115665,0.48616396524929134,0.5706456710454734,0.8113528132195041,0.8352106417323489,1.3302282075902763,1.3035912745438063,1.2432622001728253,0.8573771205788681,0.7951314053186771,0.5951907584659654,0.5190199651485697,0.42128978043078447,0.40997169991600463,0.4475090895809795,0.6416355075707191,0.44165267365849964,0.4742257697490466,0.836933984982154,0.46923600134677584,0.5180664856130152,0.5136435031375512,0.5284614841141736,0.5881026421994284,0.5880199471801546,0.7950723842153743,1.539147700887495,1.0117914739336717,1.2397590640656777,0.8434006892780065,1.1053336836726337,1.0087964719022462,0.7662562443493522,0.9391750599970158,0.78946364053539,0.5616607076977337,0.5777910764257409,0.5161333531614805,0.6781877191146974,0.7961398093448608,0.6396561618852353,0.7718721075555036,1.0732031618064355,1.2054809776046924,1.168714876165479,1.233201822833215,1.5902944418781892,1.578043538500285,1.5200065855653566,1.7772275344736108,2.019256220428754,1.8565854508036153,1.9346940341673438,1.6189708675983008,1.9603580950372381,1.2514067486869715,1.2837606682075033,1.5138889267880047,1.4204761892052697,1.6291601784228849,1.6924085835771836,1.9818716419781397,1.4482233242076237,1.2741707930699901,1.1617196217592118,1.050953272355122,1.0379235758205825,0.9137187689093026,0.931532416200588,0.8868719607316073,0.9764679418866644,0.7857695457430921,1.0702746036723636,1.126172668962794,0.9379189404628315,0.9903315231265498,0.6444091518542683,0.6124197071470805,0.6912288035915792,0.9446319310810073,1.0568990730804664,1.272739674232035,1.3238782919227723,1.0972595666020148,1.3505118954389757,1.5393261270576932,1.3751468395343105,1.4601073548929944,1.814019776137254,1.968886176357577,1.8161498391685633,1.8867972025136182,2.1544725673257568,2.307789537454017,2.048103286176556,2.0700572224115996,1.833715685733907,1.6933556964843275,1.4760433219406959,1.3869376463122074,1.5082914444967475,1.3453735349828313,1.1157077900506942,1.1731106314369784,1.2016582559689815,0.9451116290353145,0.9803185070609933,1.2078679730222084,0.9979259519994449,0.892719873277175,0.9674250327723389,1.1445214795654437,1.0670120396072047,1.2197335373736093,1.3040857801044985,1.3794211758065271,1.204049566327826,0.971813151971484,1.0188938995354209,1.197587995804329,0.8928054845380429,0.8465728128414489,1.1790043048570773,1.6427000588941973,1.0117856785438755,0.6364722855018025,0.5371059150679726,0.5351004526784751,0.8564517844785096,0.493425486627374,0.5575136161746097,1.1568125906157323,0.44385615426879266,0.5536297217960906,0.3979494802439509,0.33224306212413807,0.6042790311651534,0.507855257191968,0.47334970152395184,0.5963993141038021,0.896727249864152,1.9629550005530232],[2.1171431091708333,1.8437739033220732,0.6561504636732436,0.48146976875100755,0.5027073549168363,0.4062280798769055,0.3447701956828546,0.36233373704558025,0.3539567935804038,0.3366708721828608,0.3485403467685724,0.4578120734728488,0.3568151991176654,0.37416635158293604,0.45857892537104905,0.4204933869052384,0.48243633664579516,0.5132636478260045,0.6250657804868825,0.5476373947503066,0.6467329184151952,0.7726370313677692,0.8816172313390414,1.0063417527604646,0.7086458799251635,0.6934720582772707,0.5744046038411807,0.4998574234296316,0.46151606136704665,0.43573749216088625,0.5525098032433348,0.4939363433218981,0.5834581970145499,0.5824473324862739,0.4656689379808623,0.4712607601045121,0.4258074919165237,0.4750562246206605,0.4692050910538538,0.46483055783759847,0.6510500429739376,0.5998177235055864,0.6049814600164216,0.7597555693256789,1.406810424472312,2.1209463403303417,2.116225409463836,0.9976656757068777,1.3394345608503568,1.5997496222863092,0.9923136647959907,2.4099518324318714,1.4235162945892605,1.1767921132825923,1.515113480265904,0.7606010316362002,1.4862223585088339,0.9728367518942811,1.2311073448539995,1.2738736945006244,0.8499791564325352,0.649264871195882,0.6479032892540105,0.9062510497031315,0.6792527154681198,0.6101589788244854,0.7614015740212059,0.654131147308085,0.863134360646056,0.6971593302107136,0.8971838642809582,1.2209768413435205,0.8780767922125542,1.0761688123059292,0.668285031496827,1.174254568700387,0.6268464231504646,0.6272810811831465,0.5782381904353414,0.5976653704016566,0.5289122053698784,0.5648213360334113,0.9670575691916942,0.46752323004870866,0.6783624478023537,0.45067953915423575,0.48232335500382933,0.5080863558760442,0.5223716467324877,0.6627536339272173,0.600541727575274,0.8464805015863691,0.7126439123281714,0.5792607940063252,0.5497947495990956,0.6452762385486985,0.6070410835402152,0.541172180499087,0.4982749018163897,0.6878696122178588,0.48034331113320683,0.6405428339486572,0.4496243608044032,0.48408172897331003,0.5512032653399356,0.49487740159126403,0.588220279285822,0.48375327909135196,0.4853472990882747,0.6456214966459485,0.43432439626262237,0.37285192638450326,0.3216358351786331,0.3896740145296383,0.39132668238655466,0.45272338259750294,0.5049668800690599,0.7409274003109291,0.6977623423385348,0.626912912814561,0.5840550431103514,0.5418268560489489,0.6166610931432075,0.4048326815100392,0.33128743962216595,0.36367361237991075,0.39918651628371593,0.3875446371905387,0.37120513344622136,0.4713322106597235,0.4468827237138588,0.42396860959786553,0.5178025516521891,0.5255849874115337,0.5759508363001024,0.7110955038230925,0.7019843485206071,0.6172592609395038,0.6748929589335533,0.7615780370179626,1.028573769138485,0.9261782937304327,0.6234076645804563,0.5193638248151962,0.48810833838981743,0.4663721632016855,0.4230101138119684,0.4144116015984354,0.3704665856616934,0.4239059899119136,0.443539213750666,0.5223600517999584,0.7046687807838157,1.5314826314798315,1.07677673490351,0.5621743269935672,0.45405419936760144,0.4549440128980729,0.4062851271245185,0.4206013373648849,0.5302311443566476,0.4245195723869744,0.470593922020319,0.4562577080317535,0.537631171675976,0.7791456063215648,0.7641599981109755,1.2241642354132405,1.2148194744537466,1.1830089138093345,0.8084355954167147,0.7726886316795071,0.577662548728232,0.5083049738125864,0.4005800725642067,0.42060402019796295,0.43564490492320546,0.6687166257186691,0.42209571851641187,0.47061811503918777,0.8139830182396399,0.4552428261298488,0.49932024217499504,0.47379118566943934,0.49011092197106,0.5655977748186818,0.5651775872536278,0.787223553164568,1.5232105369104587,0.9826715947890841,1.199726859067969,0.8117004628358924,1.0464046187860447,0.9399075302882793,0.6963983443059419,0.8546226640680089,0.7764963645282353,0.5209995849120397,0.5279456740546933,0.4742532298706298,0.6427471027150954,0.8005554155558495,0.6249801150578939,0.7460635348825766,1.0587692793886658,1.1887550909327866,1.1521929105157886,1.1903787920719915,1.5575017272019553,1.512449342727693,1.445207771615801,1.6954868562375358,1.9256307898299772,1.7762116664539287,1.8188688587733188,1.496689046110107,1.8931765218822678,1.1790719811862829,1.2106698779039042,1.4435950116774623,1.338564429569265,1.6450156919789851,1.6018838001382025,1.9965109499672,1.4219781259891604,1.2787638745758978,1.1882002582120947,1.0745595956885772,0.9978781374521967,0.8790341250588464,0.9087957806218592,0.8131238532743923,0.9250224529498257,0.7182670893737437,1.0346889045136491,0.9860311084138398,0.8669121314245936,0.9048307893266802,0.5848279369439208,0.5941825514435639,0.6878523154786911,0.9533961353334267,1.112422842818633,1.3359082237410462,1.398252569608654,1.136541707801132,1.3872876311777245,1.609718964981888,1.421721407963759,1.4885870074163399,1.851042703093234,2.0030966150435825,1.8141880052677155,1.882314595094006,2.1572057643704645,2.2788140387461904,1.9997251446774607,2.0277474335851,1.792021070464432,1.6732884186452084,1.4724343791428276,1.3789350325994596,1.4782435993029606,1.3061763439708483,1.0921732616604287,1.1306783713053261,1.152598206033341,0.905553973492715,0.9248520372536413,1.1390449463714953,0.9489479776034225,0.8308218415031725,0.8969868289345376,1.0856426467593487,1.02040795964275,1.1629650286684967,1.2606548702922622,1.407693492661904,1.1306316682475996,0.9256708118291034,0.9493723532165985,1.0554827793918968,0.8513761764405687,0.8556273393117501,1.182540992823337,1.6593308097869066,0.9704141597386247,0.6150337630684511,0.5007523912070464,0.4882741315996156,0.8547956682233981,0.4578804726740897,0.4992478071434502,1.2717746201805087,0.421459035250114,0.5004834564006057,0.4122678786085796,0.3340429374292471,0.5828713959942629,0.5075357633268281,0.5045076256934823,0.5893943505505741,0.9875579957270698,2.254119166085561],[2.147702777772153,1.8586769717399214,0.6745376566531764,0.5008113128759246,0.5743924755055795,0.4716221040953456,0.45033289211990674,0.4570568274422011,0.4734609893500857,0.5194949816330938,0.5412640886848471,0.6160614940482263,0.5485019010260118,0.5962341829459057,0.669819260719615,0.6288010791600266,0.6956738397065455,0.7405120022724649,0.8668981285820639,0.7968861221193367,0.9003191622657736,0.9928412452054741,1.1384913275460264,1.2553485147891084,0.9708549008164041,0.9468763829153125,0.8313152073671382,0.7399716358572519,0.6898340964445732,0.6576945119270634,0.7430400616428382,0.6761864954337408,0.7617737240110158,0.7739890595921162,0.6745042071514801,0.7037828569037174,0.63426515886504,0.7209633637108502,0.7171566818022943,0.7059318346876822,0.8543523530506912,0.8440171606914086,0.8552234924650661,1.0215756131854639,1.689584173194409,2.401793899012678,2.4680922007732775,1.2781159305964032,1.5449074154498745,1.880210341705619,1.2532697863101718,2.656047932987706,1.6724058397933275,1.3818447934578637,1.5271695168048294,0.9841515636951716,1.662879229649835,1.0834759313288433,1.2360448359251863,1.4764688010680376,1.0924569408184264,0.8937836676227532,0.8788546077064218,1.124568012707011,0.934262933415451,0.8417114245262765,0.9504177426838152,0.873477640599334,1.0495397342477661,0.9003773757837414,1.0547804877097808,1.2986470818417317,1.029886690199477,1.2315807423247211,0.8616937760358511,1.3199109068374695,0.8525669206870723,0.8529129269661789,0.7914975135284722,0.8012248765086877,0.7057836850860124,0.7706062040693401,1.0222658248623595,0.6439284492436073,0.8845640923326472,0.6668221202957201,0.7348896314964781,0.7031661750365399,0.7558185543846397,0.8491965073377985,0.8072947521160114,1.0111201741203029,0.8902987272887973,0.7774480353341827,0.7411469401307182,0.8104025892635817,0.7553352137277815,0.7110394886326628,0.6657765741861342,0.7815920547129466,0.6555788132387842,0.7300246055643396,0.6029270105980934,0.6038709948490892,0.6473366730294081,0.5787726655710568,0.6548301525093183,0.531483232978863,0.5188233912603366,0.6396366232688393,0.47453252264922735,0.4834306131631194,0.44596913012858774,0.5389548053999793,0.5717249100241049,0.6585099033165784,0.7212997835610544,0.9183294844969978,0.9444991420923786,0.836420170401609,0.8308869923931136,0.7454790788603645,0.8115968987490466,0.6029594151929285,0.5067397205948289,0.5451337666471833,0.4716227133598778,0.4945914265263054,0.4672955838913256,0.5419406158808153,0.542999903623176,0.5117531852274639,0.6144270852122574,0.5794222847715583,0.684928880548453,0.7994322702475787,0.7848900394000954,0.7389598802211208,0.8155913995149549,0.9658898763212057,1.23406709113215,1.1713454991402625,0.8599872888130611,0.75945281934577,0.7286855251448177,0.6823522306876671,0.6449838813507404,0.5996335741751937,0.529684913031832,0.5459662211533962,0.5422782703343442,0.6134977017957955,0.7532660992737024,1.5505133982479984,1.121281080440942,0.6561442960371657,0.5966342699050059,0.5673349312161241,0.5555153625075351,0.5459407380355942,0.6884295388797677,0.6113740803272827,0.688832642643696,0.6631151531011328,0.7066666529684623,0.9960920961502328,0.9572808219283534,1.4281862664862148,1.3592272374233028,1.3165994182899148,0.9587640345364293,0.9103551375140815,0.7229711815655073,0.6621187461889391,0.5847931539316659,0.5649495578323821,0.6126286135151989,0.7969594312257928,0.5979897683047518,0.6086664682989993,0.9292656409682054,0.5806546298379002,0.6268510082670636,0.6376061238888995,0.6800431624335992,0.7500695952324952,0.7693365471167232,0.9781937014462015,1.6604795311148424,1.1461747153802349,1.356614707655024,0.9763737874167459,1.1809123079669408,1.0660450831612631,0.8478870563485652,1.0082930151032747,0.8556648030596606,0.6165230293684566,0.5903706896084907,0.5262358959531821,0.6609970643621814,0.7879946272553915,0.6273405627429791,0.7601090304546763,1.0585843869269957,1.1867771362845263,1.1588419078748822,1.2115292912741167,1.5805884813358517,1.5447388777011393,1.4920029267097745,1.761247262760298,1.989829469291407,1.8226216071969672,1.9163431315276547,1.587154090482382,1.9667274348360662,1.2453620348288432,1.2738775900246768,1.513420602907502,1.4206067566777814,1.6654900397078132,1.6809148412333095,2.0016523351095366,1.4452215470525056,1.275837132239596,1.1594291021533354,1.0407170223932847,1.014519341687538,0.8900452907340837,0.9170225139461308,0.8594307908278371,0.9501705016424596,0.7685731817188272,1.084132750085481,1.1066482997260005,0.9468425755047859,1.0125548762259062,0.6431385987392366,0.615204957592998,0.6902764183601733,0.9392690837285769,1.0834234638094535,1.3118771496139028,1.369014792112386,1.1163606783741487,1.3661600005252823,1.5690324324090217,1.3845653416494128,1.4690626617551468,1.8402100772061485,1.9937384080266387,1.8185343223029886,1.902862881351901,2.194168273741847,2.328913904016838,2.054145913344876,2.0902088705895707,1.842962564393921,1.7029763900548907,1.479556376681534,1.3921228336888773,1.514668043118068,1.334175079184967,1.1032194058789502,1.1655112304821929,1.193461815752623,0.929001678981107,0.9666546278029665,1.1946508721217666,0.9874218877454436,0.8901441936524918,0.9547934501889264,1.1558283446439213,1.0646853004857504,1.2114775539434122,1.3201133075682214,1.410426168360114,1.1931740212573856,0.9635862028361282,0.9995661787632173,1.143845051884669,0.88928616713208,0.8689324679425061,1.1921725462700665,1.6668541521356992,1.0401717607497973,0.6609669529133256,0.5464798889234869,0.5525929465713155,0.8464009857415786,0.5119523081650044,0.5538013523747131,1.2345741732381224,0.4808373527877015,0.5500283963504005,0.4523530855260463,0.4043215452757039,0.6507485614633853,0.5252192541548255,0.552060237079258,0.6455440163749552,1.0332737059958197,2.3316455167512244],[2.1436671128211264,1.8019430454576297,0.7670408301534136,0.4734525848733152,0.5606968415983163,0.47401050090124885,0.39259285332520133,0.41024526495643104,0.39666117849995575,0.36712416677355697,0.3915095558832904,0.47537480357716216,0.38517182075960643,0.409392015309768,0.4922352469506779,0.44189977961337296,0.5012037198652858,0.5383178875649417,0.6512577496200792,0.5794280647470194,0.668271713398545,0.7725493588015627,0.8997857224432126,1.0224422452666353,0.7412047560601611,0.7184876632436883,0.5917371205843683,0.5122443301215054,0.476697331671675,0.44505200371941017,0.5890301961825742,0.5101325893835863,0.60568628943772,0.618536291814294,0.49898513891793433,0.49813576231383655,0.4389178893076695,0.48299220651870794,0.4655280412237298,0.47030586877485553,0.6650131560750704,0.6095818599407106,0.6138263259604194,0.7989932599706446,1.4605231468121997,2.1813882599261496,2.2156145511166754,1.0589852681082543,1.3857000976808012,1.6925498365721,1.0849772805847855,2.4341006418519058,1.457332834753713,1.2127419065730571,1.5125001643825142,0.8087463421545692,1.5475259610032308,1.00423548502033,1.2181874600418858,1.3467866013688907,0.9262198363499219,0.7127526487007587,0.6897486221739536,0.9481294667830545,0.7353612399888279,0.6378452551477644,0.7852781602837897,0.7028378242269366,0.8992287611640363,0.7539698042480842,0.935447067959919,1.2613293092659956,0.936500905548808,1.1239533569715559,0.7242640397168423,1.201414268509209,0.689158829702776,0.6823355005899053,0.6130345325866361,0.6259123965222092,0.5564500383582458,0.5828247076482299,0.9885493940234763,0.4683606738251371,0.6491468551435408,0.4498736022218001,0.47890458705319494,0.5293049891595866,0.5512745717186893,0.6955215227187995,0.657256926761029,0.9017118764847314,0.7660998908041032,0.6441078336430102,0.6004785467503531,0.7025523723674715,0.6378372406091863,0.5784444831146238,0.5444249031213088,0.7466955340281982,0.5221806298923772,0.695374206022765,0.45908989888724666,0.5371807250614211,0.5768060374364663,0.5420055636065038,0.6627680101715924,0.5087964104046734,0.5285790317183446,0.683178742870119,0.48056719279977106,0.38717444336146306,0.3464237195683304,0.3793680794851751,0.39598970840761005,0.44906826930662647,0.509722513164204,0.7733419906493747,0.7259286633332469,0.6418675757263954,0.6116947101873904,0.5620474336281266,0.6127751067175102,0.4090832239306635,0.3523677649866152,0.3629449619812519,0.42216338875326176,0.3862911034891536,0.4090201715274193,0.4803485533679063,0.4603045408377922,0.45469258535164914,0.5031268654902187,0.5113620627428622,0.5643852737460793,0.7086838611485968,0.7648835048130893,0.6290182120531218,0.6465417782650654,0.735127315163493,1.0220091202359787,0.9566834523784611,0.6305251436374514,0.5159841227110398,0.4737714424774026,0.46225048907091176,0.4171866479349284,0.41115715564284894,0.37323886213804475,0.4155740282078811,0.45607372091930737,0.5584487287429463,0.7804981559248534,1.5436209338953018,1.07718252473355,0.6148094195013579,0.4889618422161422,0.4868008050676392,0.422783875358402,0.44398592827840916,0.5121554073279858,0.41646947681773,0.44789201364675524,0.4305410393360194,0.5337177590651369,0.7809362146266661,0.7941588169062361,1.2883052367211685,1.2863908116106142,1.227624267096248,0.8341390406377435,0.7692359472963632,0.5625261301988852,0.49977489525407637,0.3848536574425459,0.42243551354538633,0.4405897328396704,0.7030983327758812,0.40149049031746686,0.4924786683500358,0.7954305319875881,0.46662592339464426,0.49919464881487263,0.45904309329652965,0.46974424745106824,0.5417707475284111,0.5663128381014322,0.771929488654599,1.5269911508965475,0.997755505942014,1.2024788449801604,0.8011177569952336,1.0722069561140957,0.9816105212183467,0.7180678136163492,0.8730460628824781,0.7809821743385864,0.534118864338449,0.5841560342805097,0.5540974500665342,0.7636797494269982,0.9065790631464661,0.7108663121628996,0.8334090736980148,1.1771574890059449,1.287239281182602,1.1798547946266718,1.2834437507394207,1.7043488709889247,1.6147534473478222,1.5560979464613613,1.8586871732636097,2.082488181839739,1.858341847977663,1.9675277788277494,1.6300894848114056,2.0430467246111514,1.3179896958166668,1.3624572559437005,1.6239556722914243,1.5542861000560948,1.7626568458385834,1.8410085336988333,2.1632415809250567,1.6065913199556123,1.461706912272582,1.34482704922528,1.1976589248710434,1.1658748256182374,1.0111026918517492,1.0212027999174735,0.9329555031462836,1.0044926042611224,0.8172861723850939,1.0550696957743386,1.094741184432569,0.9169587738213412,0.9597429056810175,0.6613284381421437,0.6719503460134011,0.7983921196884722,1.0921917080856225,1.2184362689735841,1.449007747547107,1.4712763410306156,1.2513188923668805,1.533914285827441,1.72825655649583,1.5182485982942955,1.6125670156064162,1.9985383631551916,2.141808363885042,1.9618436944181148,2.0613236326502657,2.352960545080541,2.470995038903264,2.1920362475335287,2.245474872355634,1.9859079641298183,1.8635027435536433,1.641764189047213,1.557813919000212,1.669744752979451,1.462740206910535,1.2454035636891478,1.3024610543538035,1.3077590693862085,1.0252345314997937,1.0698404880198282,1.2869465064375363,1.0435907047238293,0.9229684503829475,1.002477970018401,1.1953934268622097,1.0974131540595151,1.2783430444921378,1.2869084849450572,1.3781969660355786,1.2458231459896714,0.9806946641544374,1.0270855169229112,1.1557071288175491,0.8667957804196037,0.9288565784044133,1.2483988361823928,1.6968177363068222,1.0130451425191174,0.6637086584492197,0.566424212119865,0.546206348656674,0.8666293214589383,0.5574625381265204,0.6195588407996638,1.2062874153892764,0.5047968339240967,0.5899918126478061,0.4916291813870309,0.42807821733386264,0.7148322819221047,0.5653718305234199,0.5823918578173528,0.6646661967937049,0.9712103008631019,2.1588657643443896],[2.2648849958211623,1.9108974224806552,0.7220754835026442,0.505004590688387,0.6150715536100576,0.4507426581202651,0.44083104772413045,0.42473758508345033,0.4331134534661663,0.45112281370808344,0.46530187495089215,0.5115111670839635,0.4735966635104679,0.5114303822884688,0.5782210141600679,0.5268924617069629,0.6292792344755801,0.6587337440572885,0.7958064965334426,0.7216457336925043,0.8251925694780162,0.9583798542402788,1.0711497642563184,1.2024165453062219,0.938107110904286,0.8949355873116239,0.7666703570480525,0.6722914683685816,0.6360368323408154,0.57915988676679,0.6565031824403585,0.5779607960739664,0.6496124064228658,0.6714657433870548,0.5707757540702818,0.6048624586826767,0.5586773228173911,0.6562243334879843,0.6332151244142151,0.635289112109701,0.7878028310406502,0.7890662429104104,0.7838349975856047,0.9202133173913248,1.554450078983243,2.257066323133222,2.346873945757647,1.2075002997855184,1.4761917888916347,1.8413166877798952,1.2492958544982313,2.5091650365139206,1.4853928233672087,1.2725761598288754,1.5907282967477374,0.8555962962139846,1.5159290021410565,1.0842195173424256,1.2548178790354076,1.416844657082501,0.9829977256346794,0.780496882444442,0.7712931471707948,1.0019209528336956,0.8210982989439731,0.7442616625609945,0.8941209750691536,0.7921959564681369,0.9488408648255314,0.8245413369556174,0.9933992056341039,1.2873199729846125,0.9762446615079612,1.188515864140925,0.7825871584272213,1.2312064221750216,0.7562350718057669,0.7413304061548907,0.6939938775424992,0.7236065846702033,0.6314593294837922,0.6929415828937774,0.9741960082019522,0.5763605106630725,0.7872694008871544,0.5788512850023647,0.6449081980137514,0.6163118120041424,0.6577340030646563,0.762469331116715,0.71035615277842,0.9064289592545739,0.7950773388577617,0.6702284452927864,0.647370608623024,0.7214462966075323,0.6843218748628448,0.6008334288491732,0.5496380424857921,0.7099301678737209,0.5387685883063554,0.6897215746730918,0.49736841716072283,0.5417425973635338,0.5737919468058197,0.5514208255479359,0.6277152274875667,0.5278012463318934,0.5267464077206859,0.624146166945896,0.47095800675401384,0.4550661219761393,0.4256363943779703,0.5211045699378316,0.5304409375630663,0.6239210081872724,0.662877881550765,0.8287222438355991,0.8814214189077506,0.7502005833305968,0.7473045992251097,0.6905940936990305,0.7486554679294251,0.5827166265191948,0.49089099841030165,0.5150720731794208,0.46627846432429043,0.47080996200123587,0.46133006606144866,0.5179372315042153,0.5215018568611154,0.5088853656619887,0.5514536967531377,0.5283036075292586,0.6059435361815891,0.731792758251258,0.7790646116613775,0.6915938208360225,0.7386003601022774,0.8139077193143248,1.0948693220898715,1.0717629570937386,0.7795582358397372,0.7077318885738639,0.6811458882860519,0.6154250131321488,0.5859224042402503,0.5444762773945966,0.46537161999837506,0.4851350158658232,0.47949787754340145,0.5433157406957837,0.7175377878432498,1.4598360112170736,1.045619416069108,0.5870745875245607,0.49827927170727937,0.4882809963522319,0.47774598936300666,0.49426614457946066,0.5976947928893475,0.5577238775792622,0.6040827356690334,0.6036807687852671,0.6566353005857505,0.8710160239276392,0.8835529358775855,1.3803917052313792,1.3294964211726465,1.264604639734229,0.8814141946285973,0.8154926849523141,0.6424987104668115,0.5906177704541545,0.49933299966188255,0.4723023980753698,0.5196312499326603,0.7164126573298608,0.509036771700545,0.5391833031541932,0.8697611867362975,0.5187489947209347,0.5586252388939085,0.555511102207643,0.5772659279214744,0.6636529497022534,0.680756921885885,0.8759220805278773,1.5865483593885847,1.0808291780578498,1.277998576704243,0.879135458293046,1.112796056521536,1.01765056650087,0.783285799444327,0.9606556903476883,0.8024410928828026,0.600381780620889,0.6289421863579763,0.5695424506446057,0.7224049856771273,0.8242866597318356,0.6648874727141579,0.7919582704532574,1.0988140392441743,1.216128559718964,1.1501915901477398,1.2479114048985078,1.6287566397558553,1.5851994355698755,1.5374142113372038,1.8233428833896455,2.0568659316142726,1.8507916435161307,1.9765491626449265,1.6461028750493831,2.037686620521923,1.3157259910320591,1.332935156956734,1.585085480058855,1.5211145063786822,1.705976710016512,1.793098294186441,2.0521287938426487,1.496849559459367,1.3295326635761646,1.2149618439802214,1.0989578723828741,1.1048852073513604,0.9616986863820213,0.9805648142903166,0.9333914528497823,0.9989997480184042,0.8427209308406213,1.1067393880586602,1.1808501349016314,0.9663238792968093,1.0671689746561128,0.6935064417980383,0.6375725181327228,0.7382385644350203,0.9957768660584714,1.097430668101761,1.331659903196808,1.3594833723636375,1.1420263328124483,1.4082410820445606,1.586189449886315,1.4130081869852895,1.4959210664933353,1.8699786252153299,2.0213663885060638,1.8623386332361873,1.9549665425024878,2.2368992175340288,2.376507572637978,2.1200536052194527,2.1653311321410627,1.9069063886912285,1.7671993814696083,1.532637976771,1.4508872275257667,1.587110287218986,1.3943879578118012,1.169417277135381,1.2370965859806795,1.2576431124565888,0.9828636935068445,1.0360042489864916,1.2812720724593842,1.0406826720768083,0.9374607278540982,1.0482574594973613,1.2508289508711394,1.1480189381313506,1.321172769042768,1.35397168818841,1.414834515571805,1.307738548873747,1.0138227038985623,1.040609005690963,1.2120259954848038,0.8917664668269762,0.9116978595204881,1.2498055617824253,1.6931883561560201,1.069037978883931,0.6830837244336373,0.5855911719838773,0.5923520207653953,0.8346361501825584,0.5471464301304797,0.620771574459137,1.1262745535076977,0.4755438215559079,0.6037554609254353,0.43412137075911594,0.3595703946754767,0.6817915145422007,0.5421319293181791,0.516173054165697,0.6221282112678225,0.8794534069646873,1.9714163822027668],[2.3613587992441816,1.9436818148742858,1.0022216663069135,0.7175866022766862,0.7514735545395966,0.687794980810527,0.6259863689837757,0.6656669760975946,0.6102658196830743,0.5563262167965717,0.5385569276147473,0.640939561245775,0.5524476474648236,0.4992684728315877,0.5511343000805983,0.5356830605908395,0.5515490986069923,0.5457538755012548,0.6345022665985289,0.5685229950702979,0.6393808434623321,0.7979205161294454,0.8675904700793986,0.9664114188922069,0.7220591320831153,0.704024511606455,0.605935356687786,0.5541554648926755,0.533985225534658,0.5440636551497533,0.6049054090083955,0.6150593326180014,0.6719135646667023,0.6536816061362104,0.574375818384371,0.5415438795091126,0.5576098606499437,0.5784972234668604,0.5414171801598848,0.5490163360124939,0.7126485499526625,0.6390375339905299,0.6455471257302318,0.793251368358928,1.3769484883736922,2.078493261539816,2.145298648789706,1.0840781037898468,1.4030899550223705,1.7444335746902815,1.2236616990482183,2.358950813691772,1.3967113265570301,1.211587751330345,1.6248391522801255,0.7508327150084352,1.3862356886257619,1.0414194836530541,1.2990934351607235,1.3081090106861666,0.8667227527760771,0.6851752071583488,0.6518596623763232,0.8632285359890988,0.6796591436248569,0.6415714143409962,0.7452174584414873,0.6633405466444792,0.862497145757479,0.6995485568107178,0.8811731686053745,1.1707211819272483,0.8687735795879244,1.0225450345676383,0.6717453197918564,1.1421180494658745,0.6400432392287501,0.6400584040191992,0.6111040411581565,0.6448426390649661,0.6156429658907442,0.6664502031932582,1.0440591166781867,0.5827680250167327,0.7190395124249731,0.5641225893030768,0.5721066210262457,0.6174003134558265,0.5759224723734091,0.7034355362147193,0.6237091230125419,0.88101619067273,0.7302425887356031,0.6454947961493098,0.6255461654156361,0.723815148473543,0.6919259730922426,0.6598319843144558,0.6493094911680076,0.859022013073959,0.6582719210976266,0.8923010818834186,0.6516170481183692,0.7591951782077051,0.8520660725117898,0.7708244653329959,0.8499155060651935,0.7886863002853028,0.8006699457291986,0.8228762115702148,0.7173947564233893,0.6666211810474382,0.6115202353073929,0.6147818545512302,0.5246349223138953,0.5603141836679308,0.5597183798397222,0.7199875772292975,0.6766325284083543,0.6114208037879729,0.595453808116904,0.575547285533515,0.5869840145370563,0.5401260824464492,0.5601928104783286,0.6040348927895576,0.6245669126445242,0.6379697789861232,0.6832559077679076,0.7235929287082496,0.7100532612126148,0.6967213842213245,0.7222715792089022,0.7332679303018858,0.7507480815020496,0.8810605114243867,0.9564938977843557,0.8144003323600977,0.7806751313951695,0.7908579595427384,0.9841482921888365,0.9362818126896567,0.6361859589219732,0.6128690225361735,0.5888786372239952,0.5672364646629455,0.5462663575320932,0.5620991901281087,0.5964877710303984,0.6521601653165925,0.7080577241583517,0.7592770970652691,0.9435187425253792,1.5094657772937274,1.1384655362920177,0.7893401960324525,0.6719503846127544,0.6976077052698753,0.5949876361702858,0.6850986345204145,0.6764180400511749,0.5602268294495975,0.5903627941205837,0.5581470226964893,0.6956301869039719,0.8639561565908358,0.9646930567891465,1.42898483316427,1.4747883594780666,1.3777744312660618,1.0023552593242646,0.9091831583812353,0.7031683459631499,0.6674703183236501,0.5825264543683211,0.61962932426758,0.5927672072427007,0.8074978884138746,0.5887858572002859,0.6619918671955954,0.9376773504424635,0.6660868869190982,0.7016610101424061,0.6986248809487228,0.6721250520344435,0.6960476168886383,0.6575759685357881,0.8683864695978596,1.5870568722386886,1.0851925565730178,1.2894478422611098,0.9144411686313458,1.1673180043513807,1.1048635423587723,0.9019676057835608,1.034907927586515,0.9313285345360591,0.7757464134216044,0.8144418703646159,0.7438836840230826,0.9608347008953702,1.0365338453804847,0.8688924967371395,1.004205713976192,1.3037830588740422,1.3729090432037032,1.3074150690905018,1.4233442264335607,1.785681576148011,1.7064842117492498,1.6681077321700337,1.9610748797824762,2.169915152720578,1.930562924175326,2.0782499826319314,1.7867982822082211,2.1516329899663313,1.500874714339468,1.5188852571099862,1.7673522314188446,1.7364258689374052,1.8841404736854124,2.0141580770004732,2.1932213005683616,1.7468103135645476,1.5874770673934229,1.398359296561177,1.2881019582904938,1.3343389853764938,1.1945202962957913,1.216502155447087,1.237740698582026,1.2837256528371486,1.071426387537192,1.1520710178164055,1.293446791240087,1.13144239188223,1.0782187318588576,0.8965553422982112,0.8924709105205043,0.9913109605186308,1.238129526324878,1.2967873591604688,1.5109192982103683,1.4858810167963665,1.3264843934520971,1.5861504792635337,1.7036794047527257,1.5317188387457106,1.6487514113349067,1.98484976762252,2.106401985125835,1.984058007894357,2.0938796994087303,2.3271204967442145,2.4527244494071296,2.242329607997242,2.2957278397143748,2.0591404917007967,1.940874736021504,1.7315823029738988,1.6845951937058323,1.7910132421198999,1.5994871717362678,1.4036962548084972,1.4859708663252575,1.4863145361881414,1.2253953202684351,1.2922976519899183,1.4825551046163445,1.2564975245955632,1.1407823655323097,1.236378776990584,1.4144075215362524,1.2982487110395606,1.5093415605535043,1.4338785912790606,1.5227889279998845,1.4570995759918524,1.1743410788563748,1.2243881069944196,1.352093942306872,1.0382500705559243,1.0650877911255647,1.361136154227813,1.674102338882937,1.047384760244609,0.8118767861128289,0.7500624262094105,0.7405180283552305,0.9400449485547195,0.796542319754262,0.8616722457690915,1.2338405767171265,0.7288438598149065,0.8264109634000532,0.7447797775378961,0.6740575758633987,0.9048503695932957,0.8275361442450725,0.8429063144326316,0.8373638543297521,0.9071595808864638,1.778270844427468],[2.3181704911020744,1.9917108340799379,0.6886157963899932,0.4574193444108516,0.5345623450048422,0.4371624792837998,0.388769690010152,0.39193405566489636,0.3936444801594491,0.35373949082547806,0.3640543591798146,0.46165515032733917,0.3568477333481437,0.3466940811009229,0.4032019720232211,0.3547500215886785,0.43764067930622724,0.43884618484455906,0.5602529543025234,0.49936439558781537,0.5802472143785486,0.7527200201314314,0.8407408528617633,0.9429684565420381,0.6972448458606346,0.6518781375120576,0.5399795512529276,0.4545499197418332,0.42071425967291465,0.39940933214929236,0.4779645523447369,0.4449348409124055,0.5109633537521113,0.49825243570316174,0.40197646092383266,0.40883401867525493,0.38812588853552915,0.47007726374115943,0.41661874657963743,0.4618334130717483,0.6603225818691212,0.582527918310776,0.5963317938075322,0.8257992239142984,1.4767130526337917,2.213900443347012,2.330062460016322,1.2011751964021704,1.4964591059851569,1.9310538751044335,1.3911010587550559,2.573370032030367,1.5325612186388358,1.3341429121646504,1.5687052895380713,0.8020951299275918,1.4604073054313316,1.063749531357399,1.173624213841534,1.390622133676282,0.883615503919952,0.6187961899153767,0.5571031417364728,0.7872533704856969,0.6130721796563151,0.5361296881664828,0.7082149109900887,0.5861015569435747,0.7764873854798325,0.6267816846725653,0.8228968483226995,1.1194656827624991,0.8090388562386353,0.993384829915681,0.5836375923348173,1.062989121656424,0.5423415754739437,0.5193213344015432,0.49272919821892136,0.5318767499847341,0.4542185198241333,0.6034793771502326,0.8330921765111873,0.43845636799126186,0.6195982571704474,0.39694785085789513,0.44866040654478434,0.46385281229801845,0.4363830605360485,0.5833620443823778,0.5100601113174057,0.7579458918567314,0.6410756820125495,0.4895244578460656,0.47425739488447516,0.5783561139185036,0.5665972335640703,0.49220401881840137,0.46546104484114753,0.6265848993584887,0.4504942333006241,0.6582307161216076,0.42269102047370316,0.5020982872663254,0.5651627983360997,0.5193979052203423,0.5905389561602107,0.540995757006421,0.5251492270029368,0.5911961578918137,0.4575378054800024,0.4009345315590447,0.3556100259234412,0.3893428826682129,0.3786080642248517,0.4281085933256534,0.45657219943147936,0.7174902105172494,0.6461884140023181,0.5168617488148622,0.5201097770404586,0.47806857041462547,0.5086788515732439,0.39314774165933775,0.3597326119538117,0.38961166366316424,0.4108917410179059,0.4036363834596876,0.42344962041411,0.47771182593489786,0.4992994994925651,0.47460849344023315,0.5553916646118264,0.5069868398303731,0.6018238177186832,0.7606931096877881,0.8281866853402661,0.6809244354287036,0.6446508709072432,0.7266044187547058,0.9342141388349768,0.908272699159805,0.5595525776808015,0.4964901699716269,0.4742289880817864,0.42839509064191783,0.3955109880865709,0.3819669396759024,0.3517861413362505,0.40944415881429685,0.4379579799185715,0.5033420647312646,0.6843611135552503,1.2737359103590704,0.9537633897030305,0.5416282033708328,0.43923551830631613,0.4473760008186102,0.3930493490788147,0.42044060750146867,0.49698968842565894,0.3960180305852149,0.4515478530342745,0.4282004090860059,0.6111039853777841,0.785173871859373,0.9092106757644974,1.4400625577518131,1.424382171339345,1.3283780384741568,0.9124823198623059,0.8211919007966104,0.5975614363384697,0.5154166625449778,0.3780767331643178,0.38380933986269056,0.4164833622279403,0.5944142280394255,0.4032526714764758,0.4560973842032335,0.8568260576764426,0.4620763309120615,0.5233244440284978,0.5301487530951875,0.5182159724671844,0.5755460302702138,0.5833424213261313,0.801647851061379,1.5729238103996703,1.0620228432854932,1.285026527841256,0.8653607593979533,1.1503406347334022,1.0581251894325852,0.8267358551151356,0.9823327834229545,0.7962181019812375,0.601591290107042,0.6382196223391757,0.5487513461604251,0.7158304939900937,0.793295841260734,0.6540816322738211,0.7887445733351263,1.0654399425416738,1.1910233360996143,1.1492109016062027,1.2324489910636478,1.5609450183708924,1.5869950299821813,1.5354763376748823,1.7667372808717137,2.0038003409516456,1.8572149508486309,1.9565522027969628,1.6521479552698717,1.9498593334845877,1.2697754575481386,1.2944873923813374,1.5041591868943527,1.4322315165720227,1.5794099489089828,1.7010012735217397,1.9353667543073503,1.4450667640864567,1.2576834963757497,1.1355263327591398,1.0478016444459055,1.0906445831861562,0.9595905620295648,0.9793412513763149,0.9889582076235197,1.0521447829631798,0.8717508643835905,1.0933599429570406,1.2321603310993257,1.0046627003744748,1.0341298475124086,0.7143625623213072,0.6595972729898002,0.7355348741236436,0.9533751033859523,1.0337801049194233,1.2304919800434577,1.264680944936176,1.0778841271860078,1.2955644079171378,1.4473385643134637,1.3248841234835647,1.4036387781319022,1.7168219359987276,1.8642858562520124,1.752651987510931,1.8066415721348028,2.041169202392636,2.2241524118223754,1.977725629190905,1.9866641643726475,1.7772285339864344,1.6339714742452125,1.4325076291124077,1.35176935204227,1.4734960361881602,1.3368731707130543,1.1222793477588335,1.1855262646246683,1.2184793437893175,0.982580460200603,1.0312382075969928,1.2650469171208911,1.0407087365469418,0.9579662101368536,1.0487515199309603,1.2202331683686638,1.1203733542695733,1.283127134338731,1.3536307523071447,1.3701874263603258,1.2469273042855602,1.00278618965992,1.0541359968181558,1.30164964320027,0.933062216198815,0.8264491735403002,1.170540728339819,1.6087673209562487,1.0345950691486112,0.6639273931790652,0.5702827683572516,0.5476082705516597,0.8688447261018751,0.5531344227755568,0.6458279820452786,0.9739768166692605,0.4577891070204781,0.6316861070456091,0.41657526434924375,0.3519984674018719,0.6562947759165897,0.5280158043963027,0.46779377386906396,0.6155188300864894,0.7653238528087496,1.5256210697418016],[2.2753415480720895,1.877109750894177,0.7515023622743146,0.45554339806720057,0.5865579111580437,0.5232018153125034,0.4580529979621099,0.4529756732849646,0.42327194209328717,0.36007483579877114,0.381471806626547,0.47282471430299855,0.3664348651101695,0.3558716073242322,0.41254590713301453,0.370212736991072,0.44116605410205967,0.44495500039771885,0.561809280862982,0.49497144229365414,0.5850140036585846,0.7671454585779349,0.8506614781546364,0.9453325853919372,0.702197187499064,0.6545939118096369,0.5349499184145073,0.4600716142902856,0.4278542731007143,0.4013191869419488,0.4817325302339088,0.4657157234145632,0.5227368492060861,0.4930329567359846,0.41868183658606106,0.4113985023428772,0.40595359602509706,0.47931074215456176,0.4210995088458656,0.47456821146683426,0.6674323124806584,0.5854451443380906,0.6000499522701469,0.8169433233536522,1.4457661493999885,2.1749721104810913,2.3241005058793553,1.207208897133398,1.5030970709268339,1.9692588559424002,1.4629120399719218,2.5259413948882417,1.5034254573213726,1.3335424022700881,1.6332384785257477,0.8081104045176222,1.4362115290754571,1.0922767286698971,1.1923385352402254,1.37647004555063,0.8670299294329865,0.605889996807987,0.5390640926836858,0.7636887727283442,0.6012599170148603,0.5354090712429784,0.7028096137227099,0.5766149787215922,0.7684600033999337,0.6254693787937734,0.8231628208171249,1.1337781595087635,0.8163801124175537,0.9930496907360157,0.5796838442820591,1.0648332933518254,0.530709202931165,0.5085836765146762,0.48290322653900863,0.5288604877394144,0.4553239820545513,0.627597762810308,0.8195872179256214,0.4622312048954934,0.6034076238208558,0.42091083366772475,0.4583595569636176,0.4766719149679627,0.43322719458232095,0.5807529716449578,0.5029860651810143,0.7537080584826733,0.6399278415844795,0.4937721299644917,0.4826841975842356,0.5880123547931488,0.572165566559234,0.5000971350588131,0.48396298288149686,0.6560079882764636,0.4775353737432449,0.7059465578048406,0.4599868633793967,0.5810626852256624,0.6347274092528278,0.6073065341239253,0.688298161278191,0.6416487110540099,0.629129130648518,0.6551641301014364,0.5464518501575443,0.4744296092100529,0.4091405654585544,0.42733540463567005,0.39302611217499955,0.43565986155268815,0.4678522569295305,0.7149018585292533,0.6600634689712945,0.5134123347101288,0.5244552700802018,0.4836308635165513,0.48716048856381794,0.40128118404887625,0.39227652005404917,0.4268662694271183,0.4906698394054084,0.46843061522125273,0.5297228949720271,0.5657627120407129,0.5970812475758966,0.5960589215186076,0.6329206629002395,0.579040307890155,0.6546419000353993,0.7928431339929725,0.9232160994041764,0.7139435984156753,0.6168068250192681,0.6651080538737428,0.854588908489279,0.8798964105592992,0.5416532027869722,0.49454070748590073,0.48730915760694926,0.42836020311297973,0.40117747750585714,0.40217243595121077,0.3907654947170358,0.4348652331362785,0.49323306001889566,0.5499528353788646,0.7524598556533644,1.2524804988901084,0.9284280505879771,0.583692884893818,0.48110544194426075,0.5116934537407347,0.4301943791510718,0.4672719230270485,0.5224821951158385,0.4087508433895256,0.44944164656360763,0.43879961345866786,0.645215360173476,0.7902535334132624,0.948913688082206,1.4816580167673408,1.4867997393734014,1.3520348456730658,0.9483293322605898,0.8341360697168337,0.6231255697237779,0.5321011703187105,0.40879871344790825,0.45198064073694594,0.45100668525088367,0.6363576911258672,0.44340720977229875,0.5238739314318279,0.8463270005230636,0.5163071947237053,0.5741785161082094,0.6015951701764287,0.5636265545255656,0.5973238026180746,0.5942833202076466,0.822298589084108,1.5704657057184193,1.0958587401607687,1.3199566935553328,0.8932367591424165,1.198035358368677,1.118905515646736,0.8976506351745932,1.0539069762694782,0.8716419409173132,0.7098246087192995,0.7585337606507119,0.6743945216223535,0.8936576450391563,0.9448653489804522,0.7854539341149027,0.936186449297611,1.2275599133742627,1.307225706255605,1.2293440278755303,1.3793143980883062,1.7135457405661638,1.693940096193698,1.6720199183494338,1.9329180347192825,2.1358824242190457,1.9583415715997794,2.116265375827994,1.8092884244843788,2.151537984102572,1.4751428727421707,1.4944537641949873,1.7205117036947934,1.6823250061020165,1.8232479413803622,1.961764668812675,2.1349993309399746,1.64950899561708,1.4845483070182726,1.3569926754607953,1.2576839390982273,1.3144173535133525,1.1662176331840752,1.1431824065153053,1.1750902315141032,1.212040547693762,1.0340501774136859,1.1584143602798231,1.376488278694245,1.1193284618462398,1.1448987256810894,0.8664234684440983,0.8047165391173687,0.9009446976934644,1.1346375735794467,1.1776783727843536,1.431557916061813,1.3761954816578095,1.2317097940750596,1.4735029878805939,1.5797810637640464,1.4372479065518693,1.5465675659608664,1.8575127243681584,1.982992798963148,1.8879361928608471,1.978541775095193,2.2080950683277223,2.3758750004073126,2.1562797986959947,2.1975885188096744,1.9799142978495252,1.8386798119244845,1.6188699281882963,1.548685434188089,1.698812979357225,1.5306402358334044,1.3262884769913463,1.4064827072357824,1.4253640103594696,1.164714351356876,1.2384463596392705,1.4528063362283106,1.190485130746701,1.1168119305699553,1.2148610537266122,1.3737844346397845,1.259653484853825,1.4350105469849488,1.4062257101880018,1.3823034474671716,1.4270280975141614,1.121020828681611,1.2073400893060175,1.4529612116636592,1.0195851068618818,0.9654710566941666,1.2398518827993303,1.590792328421874,1.0972624560224544,0.7797912435267534,0.6848728903554351,0.6444775167817526,0.9161794408672808,0.6699984024709387,0.7595729622243718,0.9559973464188523,0.5370713599225689,0.7133347554418757,0.5083574973982429,0.43261078945384507,0.7863965579580182,0.6092084521146699,0.5675564826814742,0.7125994391869438,0.8108156838845093,1.4667601307948015],[2.1324031201272216,1.7324238595893902,0.8374340037357789,0.5842979418148234,0.7117344033020093,0.6370945813492579,0.5519632138809053,0.535983972240395,0.45938835009988443,0.3901970990499867,0.40894231649984536,0.49955035097896905,0.4023246671964634,0.36355985457604706,0.4259144800206064,0.39446771607567976,0.4467996361922007,0.4527544370078113,0.5580315505569112,0.5008519143577433,0.5902564418560888,0.7909588269626544,0.853619017274659,0.9466328630988015,0.7110229760425899,0.6661802943580167,0.5496157036408009,0.4742585168648765,0.4471008982181046,0.44521326431793895,0.4863158056510789,0.5026871825674295,0.5526111221886147,0.509268721507318,0.45114524336713974,0.4425081664826604,0.4558026298958622,0.505813566766761,0.4435362774762845,0.4964529232894379,0.6786189738118386,0.6032121407013203,0.6087316282454938,0.7707824469174642,1.37115108288552,2.0873740629523803,2.238741148118484,1.1602927713124551,1.4692391612024953,1.9150421938006292,1.4385156211208214,2.413416737098007,1.4213688462627236,1.2930709354040415,1.7284465424338433,0.8247268500192295,1.3942276475959299,1.1309663400940395,1.2569061250374884,1.3325707026571258,0.8352937722588841,0.6033773319742648,0.5311249291929881,0.7340954551098856,0.5839116212686863,0.5336570964987076,0.7069739777941829,0.5782790751483244,0.7485371617474337,0.6315686497279975,0.8308214378183163,1.1179828253845168,0.8131007150843116,0.9812448717952783,0.5818706496871441,1.0437808200722862,0.5237569716251503,0.5007867387297239,0.48216560704523503,0.5516395216032115,0.5234338666613852,0.6798325106245726,0.8282162881842021,0.5082336405426435,0.64861652196318,0.48364018105637485,0.5099820142632685,0.5293168475210729,0.45608214646306894,0.5926023379299038,0.5153674325366344,0.7409116742736986,0.6310404677223251,0.5062230825814394,0.5000791068138302,0.6061056907389734,0.5822161498194808,0.5309967575716102,0.521741563237699,0.6698794688299364,0.5257818372087975,0.7834162635858517,0.5185577362648371,0.683597695316779,0.6953713843463722,0.7058974654850637,0.7903755802835655,0.7504702946771974,0.746984832224743,0.7346973825287693,0.6526365110454064,0.5876718017367134,0.5168573594185585,0.517375991302517,0.42560590180598085,0.46141612816747757,0.48015893935279613,0.6986815532675501,0.6364583040506481,0.5121847921398632,0.518411247178615,0.4762282377453188,0.4703621275271107,0.42225901248689895,0.4426352653639804,0.5302333115621249,0.6098492214753258,0.574651413737773,0.6521126793758406,0.6607848401502722,0.7245251763594139,0.753149488762376,0.7236022507024022,0.6664858438951374,0.6975241029922329,0.784491795948571,0.9481056661973924,0.7258700535723075,0.624443215129269,0.6251279492993324,0.8147415813278084,0.8604528213476407,0.5366751117094,0.5183704069869873,0.5265084241924112,0.45616338126600325,0.4387343071091323,0.4515457434123133,0.4726509031190832,0.5047629346471445,0.5858693312893376,0.6097151840432968,0.8001823758107248,1.2249164793962461,0.8941366006471213,0.634986743065158,0.5456940662456388,0.5963601601559555,0.4860458733407146,0.5620276617394129,0.5654350917541208,0.4435210191961658,0.4663543746400518,0.4638938147094971,0.6388004116004858,0.7769798286979168,0.9451654447888134,1.4762968644924188,1.5016678998487953,1.3443645287863217,0.9530954182963252,0.8199187991513838,0.6247067837543294,0.54466006270487,0.46493647490877776,0.5289029293453067,0.5116694460941928,0.710761372860988,0.4963101354132742,0.5978327951508995,0.8218139183372092,0.5697229933334174,0.6253708489959027,0.6792782396721414,0.6362577361180097,0.6318442503053806,0.5935979416210024,0.8050357347419698,1.5165967599622847,1.0754192584260867,1.2878431802693644,0.9023109975738566,1.206175921895241,1.1470330910451298,0.9603235011896042,1.1313259723243891,0.9707076628005356,0.872273864202918,0.9124100680668025,0.8411277552526136,1.041118403996918,1.0622911456444961,0.9081903592926495,1.0630380538294546,1.3264624073229032,1.3608840310695882,1.2781208568091025,1.4510794361107888,1.7688931580301055,1.7022589437318056,1.7031639371695015,1.9771416920663558,2.143891347638808,1.9441129423762376,2.1344863446697038,1.8414101168822958,2.253010261710369,1.601535663153112,1.6116711170994684,1.8379572311167705,1.8263387900439014,2.0225521888918543,2.1185198814377406,2.2638808583335535,1.7799793176354082,1.632117535204021,1.5030800054352316,1.4191618177596677,1.4967586496764425,1.321380990896653,1.2731701721430222,1.3237358181871692,1.3489041567166602,1.1822663402423421,1.2881482572027863,1.54380343047899,1.2847549299391596,1.3057526554317131,1.0333204306388308,0.9492045715218824,1.0549522612036293,1.2677978970082813,1.3030561683435662,1.5734981421046248,1.4550402735009165,1.3378066006097853,1.5757080670310948,1.6508796726135362,1.510193219331368,1.6144023825241771,1.9084702135213663,2.0124043023685236,1.9191905440647485,2.0392546304439905,2.25300068015545,2.3912524264759583,2.206222307820418,2.2754493247258387,2.0650523800187113,1.9345002431824074,1.7114812809237199,1.6602229912388735,1.821038178907675,1.633218890501038,1.4566295423306614,1.5533187747656736,1.5589821015550291,1.3027066924691049,1.4028206661859244,1.6050702365154277,1.3416871194915216,1.311450041156087,1.420862488081265,1.5730866941075266,1.4494427309992874,1.6139099901070106,1.571882102482478,1.5544205407139668,1.6240370727656859,1.2529026501539537,1.3068159455302648,1.4728930204797206,1.1172322742983536,1.171841692842853,1.4187016646339108,1.705535044381534,1.2367786083658627,0.9031536256752909,0.8366956663987879,0.7589166144233136,0.9667369038025856,0.8276889498721128,0.945009541634187,1.0042463516833635,0.7032938918191467,0.8926960886481398,0.6892613985836699,0.5794603600081161,0.9816953155403402,0.7426584629306515,0.6851977682415744,0.8083927821396206,0.8753942793362971,1.527073074829706],[2.0935981853034553,1.6895637740550662,0.8294163335279656,0.5848873478850276,0.705042176452312,0.6854761319522259,0.6270648390433952,0.6184979464239669,0.5402146822401204,0.49569381953020164,0.509900410842074,0.5734289601512574,0.5189466611762105,0.45627890105773095,0.5201987111741736,0.5091584158313902,0.5418189620859907,0.5463279988307228,0.635135497017296,0.5816462645259818,0.6634738462390749,0.871604423198556,0.8925737754709494,0.9751460354995479,0.7747739862515761,0.7423235653012965,0.6316279536320454,0.5669443713849207,0.5438810359972317,0.5417187203039654,0.5647562375863041,0.600562662743136,0.6463435678035334,0.5912544950807475,0.5557530175076502,0.5450592942101862,0.5591408101785785,0.5850234418012797,0.5339046504626991,0.5532603231306612,0.7502944095274278,0.6842073996073863,0.6762771927881304,0.7671681555915714,1.2866565183879195,1.969981114146282,2.062058845583179,1.0941845441073277,1.422020665585019,1.7854187509412176,1.339320189948283,2.2682971234348166,1.3298942028059606,1.2401154785476998,1.830217490830138,0.8684983540650493,1.3539570088451442,1.2121278958052741,1.4017208938943266,1.2733676520985582,0.8279357523088262,0.6443484259910881,0.5884415616309334,0.7663697462729196,0.6440324481135798,0.6127082504608243,0.7553800242576532,0.6356938096060496,0.7713186906730164,0.679289719148404,0.8725159170962957,1.118083507525219,0.8336205436229346,0.992053666029183,0.6186948532615024,1.0179906821472016,0.5703018781070756,0.5630097722115286,0.5513455112780858,0.6395942801292993,0.6327958952928427,0.7459730411715161,0.8746415205916247,0.567996900714054,0.6879261731019924,0.5681554102556671,0.6054565019188994,0.6341780851196309,0.559028013717125,0.6741936150979093,0.5890396463477102,0.7635509791999899,0.6696600555157668,0.5754689294734147,0.5725837414291935,0.6583894426360739,0.6378876085466199,0.6052038507159757,0.6067511014262446,0.753614569825596,0.6282552175436813,0.8638131984337238,0.6275440081528247,0.7715670305925929,0.7200717437746357,0.740010026566524,0.7979727802953059,0.7558887477658336,0.7585885011948571,0.7409455647033831,0.686611247094887,0.6231836281912516,0.5909309908376953,0.5835025833023595,0.5236258393400183,0.5409278413143139,0.5672192839683636,0.7133453158199684,0.6608476333706804,0.5829378076547357,0.5780600827352248,0.5352079608813692,0.520175472262538,0.5082752740264004,0.5267567753754766,0.5720015661064978,0.6416952342614927,0.5951455745688677,0.6506218378810505,0.663061753388886,0.712047015781807,0.7294648016376578,0.7182053964130968,0.6633392036889029,0.7172361156405604,0.7960922887068795,0.9573716489960256,0.7294949002719384,0.6417045159766411,0.6196570825704741,0.8401181747567444,0.8693834578110099,0.5982695770571013,0.5871193199043004,0.596144629959417,0.5542516148524803,0.532606569158079,0.5565265502894061,0.5596219354233599,0.6118316140793973,0.6613963012632771,0.6958997020967056,0.8606146143985989,1.2335409028519821,0.9209642476222856,0.7224860022271792,0.6520322041587797,0.6835290358783394,0.5837131489850745,0.6421288957276406,0.602785246986632,0.5215158135055585,0.5123590491179956,0.5236202595066926,0.6567247292147115,0.7764267155492868,0.9156047676276879,1.4148377608566383,1.4674280580501498,1.3339970785056008,0.9470038925194167,0.8214951452423305,0.6536883192473847,0.5828268736737703,0.5226959353840561,0.5860662356397577,0.5865834341093686,0.7734552706123419,0.5679591375447279,0.6478961876755099,0.8050975956501021,0.601715080143277,0.6324836237150898,0.692322366022367,0.656949373649084,0.6339018774359036,0.6087462461619648,0.747890971546802,1.4432554285219172,1.0234807134250123,1.2315010382056473,0.8925099853304701,1.1832961926666021,1.1202689158280106,0.898588160742397,1.0137024105212007,0.9433910604602254,0.8368191260241822,0.8673416843451727,0.8053745742980496,1.0154164205980156,1.0497365375142431,0.8878070954942674,1.0297768290476972,1.3096526200610041,1.346088374230988,1.250398554385396,1.4167069112654724,1.7592666939041721,1.6751810358238204,1.6606251010839486,1.9449399153082023,2.126971099806392,1.8993801824175887,2.0822673078371903,1.7724781038189759,2.1949568021541315,1.5219783698810954,1.5505127547018254,1.7889065088767047,1.7698106241432154,1.9088235582583186,2.059438189236166,2.275452627477765,1.7697313353214037,1.6253761315183861,1.503753627980407,1.4065053658089772,1.4513255712943618,1.2856369858663612,1.2336194237178493,1.280108556203684,1.3130495273627119,1.1070505362610004,1.2049845405076818,1.4293031294261627,1.1850618188976358,1.1991937908531856,0.958318114993847,0.9241406870902347,1.028128832373231,1.2599056851733996,1.3292524471351528,1.5874521693030839,1.495575009154126,1.3620484035522564,1.5890812045257505,1.677509271560594,1.5285454227368533,1.6218048925424,1.9212588909504464,2.0212249810277014,1.9204437461325081,2.0372437683032554,2.2510553939095064,2.3894459455884327,2.195037678164998,2.2587120677635313,2.0473605816428404,1.9265854721078317,1.7093524046917787,1.6559784096065873,1.7999547170895696,1.608143027578234,1.4329632847937686,1.5201522941605858,1.5185032005039105,1.2610623829850094,1.3464049856036155,1.5447581175247531,1.280319650523434,1.2117094366191343,1.3098086892907124,1.4423281486724722,1.3508346011895809,1.5401020125015543,1.4546865959792998,1.4702436638605214,1.5448654409704186,1.1683494500576568,1.2329471141694148,1.3808565330213294,1.0305109511630712,1.134914743623787,1.3832134132727254,1.6943240812788483,1.1601523886189569,0.8597073213879106,0.8071365946919946,0.743730027057255,0.9194158898871733,0.8307044304578127,0.9514006399444146,1.040555364590735,0.7295785496663902,0.8952001219282402,0.720961540200536,0.6396388060353481,1.0325232000406364,0.7499947809489707,0.7222050918515469,0.8692558792876921,0.9063682629295624,1.5426833946126788],[2.110942978829456,1.638058004674442,0.9771718179998025,0.5628947398959732,0.6833798153370626,0.6535658832566448,0.5677917998027796,0.5629343346087026,0.47452799759572717,0.4322300249613998,0.46182628998495895,0.553541380794907,0.44745722791385845,0.4213978510252307,0.5016594789849398,0.4721978303322195,0.5059591963106816,0.5281418451038131,0.6229008953111036,0.5507161612807082,0.6322590422033726,0.7969324376845828,0.8582904663818716,0.9594519496270759,0.7086796617613367,0.7023700579718317,0.5766582298835246,0.5213669624408752,0.5047720809637666,0.4973373984800321,0.5640009635563347,0.57050662342043,0.6257725002044663,0.5861399385935272,0.5188263297898478,0.5063263531154242,0.5123287725899234,0.5329827925298112,0.4725853633342857,0.463971380982981,0.6562932926803685,0.6046616198462698,0.5947668241821832,0.6677881579706815,1.1777738319603401,1.8646956848048895,1.8974436495913396,0.904891070905184,1.2712548991544912,1.5634716773369206,1.0817983717325812,2.088275443171391,1.1878849132377598,1.0660129105707443,1.72583094174524,0.781111792560175,1.3757035388465044,1.0638656954202534,1.3763431686615135,1.2418918677041726,0.7805924970169921,0.6157141435710667,0.5997300795013849,0.7895283548513499,0.599684757749249,0.5792110354538516,0.7467172430281059,0.6376452866061457,0.8255386636847508,0.6943049377478508,0.9079700179556204,1.1754747367382952,0.870146010725318,1.0109572295007079,0.650696082130427,1.0687913584109756,0.5764341079410866,0.5935842754050379,0.5546530120493668,0.6085296910183136,0.5855322065784544,0.6384819510660331,0.9552112093818322,0.5148462110187755,0.6190401397197453,0.49848189991552927,0.5240569552128268,0.5757676632601809,0.5340223687626541,0.670846431882221,0.6005745213298528,0.8142489482129108,0.6892711177296683,0.5998408990502359,0.57851815099252,0.6650778216247595,0.6240830557479616,0.5869575016541332,0.5879906762716464,0.7395329093602655,0.5862256772984765,0.8486560571122087,0.6105440889585043,0.7502849442338695,0.7487909639848356,0.7377447979257533,0.8581850292116076,0.7713289323021106,0.7939722646373013,0.793195312541896,0.6881092795007361,0.5925946315692491,0.5370240896303488,0.5479382209263406,0.48959329267539126,0.5017136533882277,0.5255323632870273,0.7274211674768347,0.6691141877990595,0.5789269051162182,0.57617233975328,0.526959458282049,0.520767943308136,0.4756424678563145,0.4810482131493076,0.5247046738979354,0.6168052180747856,0.5616389663833569,0.6335399206812611,0.6551966198004865,0.6971789010641198,0.7129077246497424,0.6944157210380015,0.6597370431921793,0.6914131540437582,0.7769494021358718,0.9432716742604934,0.7226225664181078,0.6730748884670841,0.6151625080657372,0.8643491010657482,0.8471708338315512,0.5645275158648171,0.5428175177203673,0.5396053846087613,0.5074177375754519,0.47731417526559006,0.5017702832614486,0.512962877648457,0.5612702027130003,0.6236565890543039,0.6627152466801006,0.8751646476972348,1.327124593549876,0.9469363011075794,0.7044300184090408,0.614495851495275,0.6545756278168089,0.5399332221397151,0.6168417369118914,0.5660340484464024,0.48693022189253166,0.46715129404571104,0.47235847788734076,0.5847505457833941,0.7774423213662199,0.8684895407131095,1.3447904393461498,1.4210187566516628,1.3058280146608388,0.9214561969139351,0.8006734999333077,0.6023205260461678,0.5487514866917862,0.47146376831958564,0.5659457084202357,0.5486471724879922,0.7924021720759461,0.5344887621695616,0.6500306629148731,0.8007466927734872,0.5800718033492258,0.6113453282443959,0.6479758672824256,0.6025746689081253,0.5892135657365019,0.5419232095180404,0.7383567755325354,1.4245604786422108,0.9621083651906324,1.162188748692912,0.8295061680975616,1.1292059418747586,1.0749562237168822,0.8551260047761382,0.9690770953301123,0.9664621953444814,0.8350575818338537,0.8842656273001697,0.8341355454457922,1.1316633373278386,1.2053186173363724,0.9737091989376602,1.1334496668511551,1.499498767190952,1.503400398996531,1.3464137616866134,1.5666871948616363,1.9901185485612531,1.7920097909075783,1.7810965846486986,2.1445285506592,2.2987235636956154,1.976374902068706,2.2101174606886755,1.8803543789570065,2.4006984075456725,1.68856655845496,1.7330516150174757,2.030094103200652,2.038700584152654,2.1744046570085427,2.340805731653589,2.577663327343185,2.0431659433261413,1.9280212891460717,1.7507185435725696,1.647593385958594,1.652415090215656,1.448771391204595,1.380358103267697,1.4089804380042912,1.4309784546175828,1.177317985482945,1.2309271972909075,1.3896674864217684,1.182594650730466,1.1419938812478954,0.9808837467161641,1.011277803809319,1.179788633549745,1.4677654036569645,1.56783103530729,1.8676208816729083,1.7390982515785216,1.580729648676426,1.8893740437845354,1.9930818132926431,1.7532836897157966,1.8831274619443532,2.2512841872591225,2.331970083962299,2.189486481574057,2.371561348445215,2.62700337896785,2.7029112113299014,2.5123348517081596,2.6246541064243503,2.368129345911525,2.2596455638467923,2.0068490810380086,1.9750715784503452,2.1145517410606627,1.8472109994658517,1.668952182657204,1.7688253880868252,1.737156142083285,1.414917256674512,1.5206613047791102,1.7043006737926858,1.3906942258243158,1.259429758340832,1.3751063566296209,1.4997550978648355,1.389699084864953,1.5817053177255824,1.4484758902470816,1.479698020314977,1.6543114174863158,1.2277916357103749,1.298357247206044,1.3556681297943887,1.0656622122364263,1.1511658043130981,1.3793501385154192,1.6462220264865248,1.0892846752730154,0.8496254084998264,0.8184679552132594,0.7347022448236177,0.9435368002770163,0.8026334752461842,0.9070103736641865,1.1367144603521229,0.6948551338496057,0.8379367859158453,0.7157639382824692,0.6065845264438561,1.002368923736729,0.7687695000629904,0.7609454147594439,0.8445065663496174,1.0255547236160032,1.834794472196891],[2.051076198952751,1.5440904319325945,1.0014646544229024,0.50843885727923,0.5966831544251625,0.5666292969108094,0.4982496269570351,0.5073485614022982,0.4461722963478851,0.4177775066723901,0.4479729488640073,0.5538566750416013,0.4336411486894082,0.4140443239617257,0.5242072699856788,0.4938486205773339,0.5047438618953217,0.5323074569020553,0.6085763759988514,0.5332669126742184,0.6034847464700158,0.7496615499808317,0.8035885639053468,0.9047165044767081,0.6403364907500361,0.6498056661724871,0.5408073452657445,0.49585832741185526,0.4957531582497907,0.4898587971735389,0.5989269712483609,0.5985715424478796,0.6684370657764938,0.6284589109098304,0.5464773478144315,0.5145291713008461,0.5120647623003941,0.5059273730417133,0.44179779491951526,0.4357559027046923,0.632336368355349,0.5522462415935164,0.5336239805781552,0.6159493892507374,1.0978163231426945,1.78134584855656,1.7385398144283204,0.7815384536216564,1.1839620380176508,1.3687440101197141,0.8885674570408578,1.9361441871147012,1.0903045999975023,0.97412914117246,1.6870594990255927,0.7504512918477039,1.375826119725297,1.0039151558801165,1.4272087286344646,1.176428892370889,0.742078185156289,0.6116501953031205,0.6122626585184889,0.8372815373837197,0.5844366939385485,0.5818928580274516,0.7602065296611056,0.6510166143311599,0.8362614670441261,0.7104442556344137,0.9308982607600027,1.2314265090163314,0.8901129468834326,1.0168879191787332,0.6763489758063017,1.0936106416007831,0.5893655637274324,0.6279446934189774,0.5802134104876205,0.609108845035511,0.6005134044811968,0.56537482147143,0.9996342098820764,0.4852056244394026,0.5802727855440322,0.464250107441206,0.4998281877318123,0.5880976730678795,0.5340909752467211,0.708209400773609,0.6266040931219645,0.8404596356734858,0.7127514214786457,0.6394467357469582,0.6094058123310896,0.7056688454840614,0.6532416613020956,0.6251973591877914,0.6206747583862474,0.7740486907936672,0.5962168257685716,0.8200347110195956,0.6038714346518986,0.704030849408105,0.7005713526643187,0.6678227611453421,0.8200480614129335,0.6971421607313594,0.7222825521185329,0.7447390841166384,0.611706834944801,0.5236611678243528,0.4687923312298426,0.48124324055621404,0.4597266392929641,0.46808771118220727,0.50585651619403,0.7640451979900577,0.6388946837442903,0.5964157364444337,0.5673901172543481,0.521061430184237,0.5381710425685036,0.44103412725342206,0.4181456039106886,0.45867945895700835,0.5537327910861201,0.5130733146788821,0.5544164424646898,0.5864188639497866,0.6056586214168823,0.6016704017645328,0.613177157523978,0.6099932959873089,0.6432481050083088,0.7615128106972592,0.8819161517961228,0.7238368123092281,0.7187184962817825,0.6155122078715414,0.8716045716444885,0.7967477814310762,0.5240549099594363,0.4910662117855679,0.4788668618770376,0.47481075740861184,0.4367787514579246,0.4771159043332483,0.4663064493979961,0.5182998509033608,0.566023530340025,0.629030772515343,0.8599112130260396,1.3473641703377535,0.9434691748357795,0.7015844930603097,0.5975553993919642,0.6094156115044763,0.5126365900580756,0.5823868000800243,0.5045337883283969,0.46774779671012584,0.44494556320930856,0.43204608537642536,0.5344451982711677,0.762269787391787,0.8125113206058875,1.289452013603895,1.3746412756837385,1.300362937357775,0.8880191602333429,0.7939947555331213,0.5618634732277686,0.5206364577523143,0.43055509978104467,0.5266382726891267,0.5223269782275569,0.7999406439655716,0.4945802172457977,0.6034318193617632,0.7897490238236998,0.5343759807453224,0.5559417076679611,0.5723911469645195,0.5368565434747655,0.5258388218824642,0.4863650540562301,0.6984966902207975,1.432143082886751,0.8988726896829642,1.1168441807959708,0.7550065332272308,1.0295028431266071,0.9770477319920953,0.7505004860221706,0.8620015933987653,0.9369250879247693,0.7254129572198712,0.7623828893309175,0.7233796676734439,1.0175579967101942,1.1249399994481073,0.8662715958472175,1.0085076546472462,1.393455379046753,1.391223523365176,1.2234941316962484,1.4217254112530666,1.87519809954222,1.627967305586931,1.59200823411276,1.9748323966411099,2.1388060749297475,1.784308581009353,1.9841775936133574,1.6635520972115716,2.213264072092858,1.5156760147890855,1.5658827695952713,1.8715468012823062,1.891222532528131,2.0735901101779586,2.200141113378086,2.4792372687945643,1.9299640037408605,1.8382344129605919,1.6721660593606276,1.5736596038016508,1.5314700220302355,1.3350478594460693,1.3244199038059663,1.2940955731475965,1.347459941707139,1.085596094692229,1.1077854293078082,1.2278591033814548,1.0408569227856694,0.9705402237858364,0.8478024131564079,0.9340051924116256,1.1135678991527789,1.399539352726462,1.5318850169786442,1.8174625905833754,1.7284099143255969,1.5349851957517417,1.846056140317655,1.979492314866737,1.7151136186994336,1.826977163779041,2.2193676647636122,2.3097637904254475,2.1190111182196594,2.2993909218874955,2.5765314963973567,2.6237362109294864,2.403483920848079,2.5203095861131395,2.249317878737598,2.1644398981342112,1.9234266839952818,1.8888989159847807,1.994051670413004,1.7153972643929043,1.5579288256634978,1.6367717861184812,1.5875254496601094,1.2781103661110533,1.381965117478401,1.5388872954104762,1.2458502787239725,1.1124770792989818,1.2133248738774154,1.354374590074341,1.2622432883478651,1.4591010113162943,1.3466417536560726,1.4377639035586756,1.5279631561227793,1.1265236954623088,1.1226279293238015,1.11673673976721,1.0224419558956366,1.1137940985441472,1.352905115222764,1.625070615037764,0.9408814437800603,0.7259545115914049,0.7086580670941361,0.6323664007602436,0.794098407841994,0.6749476621811911,0.7726895266664245,1.1581741215069732,0.5702530982575154,0.6846630535711188,0.59519938591883,0.519695125110745,0.8281805250441412,0.6222709168085622,0.6646324567584442,0.7752841951500649,1.0590612866841462,1.9748253146692618],[1.9613034611182116,1.4363893595498272,1.3674543626334665,0.9664517603580963,1.0340186747647788,0.9514513700944387,0.885036217987125,0.8882896757021602,0.7684121606542879,0.7076651710667277,0.6974675094655611,0.7977020049556415,0.71382421396087,0.6508486655415437,0.7426744243295703,0.7378489561573857,0.7501960577372601,0.7514203620470978,0.791509280627963,0.7453883990411886,0.8066569895852829,0.9732665397523982,0.9741346051635492,1.0854656617722063,0.8413383358936313,0.8589183834256676,0.7869320230762865,0.7487784289005335,0.7530788677170501,0.7721153899356339,0.7996646476989953,0.8398752472817013,0.9384879427889492,0.8664714818623467,0.7979299307018782,0.7646996192806886,0.7908501818825817,0.7850651343116368,0.7390380612308157,0.7199666473962684,0.7764005165338335,0.7962692473931424,0.7764570426534443,0.8334363521813009,1.1074101584938254,1.7136645069203764,1.7202353456457118,0.9659240818367552,1.3118716824774401,1.4623069424382766,1.081692880658411,1.8595237327790486,1.1247385877758722,1.0258187783486814,1.8351245974211003,0.8989025955770454,1.2893969448884801,1.1648339790235478,1.6452168850793922,1.2524473051273592,0.8428573266882723,0.7817677671876898,0.7982776911342842,0.9386143177100322,0.7581936317511129,0.7933408117929228,0.9130185094266837,0.8023780748842901,0.9358501338781763,0.8378597224169722,1.0110349539263142,1.2340392389298591,0.9584919728724985,1.0531193463034283,0.825067108698841,1.1482640427920925,0.7572717740463366,0.8025679808366979,0.7997372502764777,0.8314960777954538,0.87336641852606,0.8244847779620438,1.2279570813806986,0.8013335081897563,0.8592627845136996,0.7797452691339729,0.7722384565916511,0.8414227370765941,0.7757674780884676,0.9026391351406863,0.8259947398200377,0.9555957806216496,0.870980562626141,0.8316669113634642,0.815731282352219,0.8813455237030268,0.8651232262912485,0.8557034456546269,0.8516406193586856,1.0050602233557215,0.8920880976372165,1.1345555498215,0.9375607760969975,1.0496224094298714,1.0471010109765986,1.0129651665350161,1.178553195058918,1.0317840799971483,1.049836595054581,1.046680831828758,0.9820574179335987,0.9269259383579929,0.8563358285264153,0.8350902732517467,0.754880995937921,0.7903924057610427,0.7674938806216386,0.8483479264486448,0.8183121134232456,0.7570108060242695,0.7448670461395825,0.7303189859906001,0.7463041677005164,0.7456560443997017,0.7672598560471279,0.8311403898794771,0.9310649674573738,0.8885641069642398,0.9201380188671183,0.9155086152542005,0.9232505866275934,0.9917925636076945,0.9096784267940508,0.9372831969423946,0.8813786316600885,0.9004073987081577,1.0435850539780793,0.9020227460788877,0.9445166899085583,0.8231968023121888,1.0016950625590535,0.9607301216138334,0.7352853424552023,0.7728626279635936,0.7867881907825142,0.7709012509770458,0.7532847184043937,0.7830363521999012,0.8240769696094414,0.8646191902657326,0.9348919851755408,0.9666034199176905,1.1713166669692703,1.5164843472022467,1.1355969597934605,1.0063404123602362,0.9029930496625307,0.9473730149990123,0.8299107730500352,0.9377901955682977,0.8123637174765064,0.7847147041396056,0.757454335015997,0.7515999516558477,0.7882315315352793,0.9778504915750906,0.987737890217311,1.359325322329521,1.4380683872192634,1.340497515266162,1.0380904748604238,0.9286491743846502,0.8033320118714604,0.8137392605355138,0.783950944870058,0.8761524509004838,0.8713500588917902,1.0987361346637223,0.851075114389013,0.9382354932889191,0.9443991928378704,0.8669628991077296,0.9052196880104882,0.9069213900779274,0.865501495687056,0.8412939564869081,0.756088561511909,0.9810845853085766,1.5260608153431041,1.1240557178191597,1.2252080609670306,0.9858799988594555,1.1770466938721769,1.1952578769781494,1.0183539679755649,1.1784144394353244,1.154184279614362,0.9931077752760038,1.0341426343706037,1.0443578657986206,1.2101584264852585,1.2933580703017231,1.115187195685379,1.176153772600022,1.4828312149027365,1.4701784511513798,1.2482124202230962,1.4558784413074362,1.9156128059066442,1.6379841039219984,1.576788676889316,1.9777494065252068,2.1320571873931926,1.7184257148600073,1.9245294164982407,1.6575627016988446,2.175418067138476,1.589825473309596,1.6300045694302971,1.9100854402279361,1.989777870995917,2.0919391265043505,2.2824749708788254,2.3921585606254476,2.0143738100790665,1.946431423903902,1.7496140881223026,1.6561722345133658,1.6910349873897434,1.4606876607262675,1.4491832589539768,1.5177479847175974,1.6055430563579511,1.3138093151410601,1.2782017780167831,1.565590911681053,1.2936202797695213,1.2238881858740909,1.1152607989858714,1.1182314838268437,1.2911058687203447,1.5315897260865787,1.664690944100464,1.9626802694367074,1.8276516103514149,1.6454345696366808,1.9545817270033874,2.0817476553651133,1.8333969450642347,1.8972457007399692,2.2937797570678096,2.364186163716411,2.167528179144294,2.3745796874697525,2.6643505590861203,2.6738486727100237,2.4591753533639795,2.625246916043677,2.315419176669976,2.250631510468067,2.0035050137519517,1.9911909883773995,2.0748449362485073,1.7797329549663452,1.6539198776476076,1.741249306312981,1.6720249559636584,1.3832951018693056,1.502538017882979,1.6705229586476043,1.365275442408245,1.3012749968372748,1.3585451780330877,1.5595563638208052,1.3941703097711624,1.5589047571246586,1.5654346298395099,1.6460365043659309,1.666221307628514,1.3910298640113228,1.2284842400858083,1.1834695801375845,1.3740576980245909,1.511023016508299,1.707141366207189,1.9528271921758913,1.2309940229284375,1.0573548286617125,1.0222052704842786,0.9992504217468609,1.0930494248478624,1.1488872172284947,1.2871858414204618,1.3258048487695593,1.0171772836027257,1.1656499498952335,1.0337436746569144,0.9432977815472798,1.218924778118857,1.0683599750851271,1.0720188444314995,1.129329581631284,1.346504328478183,2.0888240856619986],[2.117013349544379,1.742820738561901,1.8519794214286673,1.6054486948606945,1.7629748909459526,1.8581370983436902,1.8428671875110196,1.8396831302018675,1.6845424842889316,1.62365130167025,1.6053579186293059,1.6788006814270107,1.6679729029864074,1.5637955577414937,1.6506443165666485,1.6848319768798057,1.6917246062954203,1.6941412081508915,1.6916449867719177,1.6854900988890358,1.7225973411862694,1.9551745259655828,1.8331070900829387,1.8506108877393759,1.72265271699602,1.7477657112158498,1.72238579129437,1.7130360235560138,1.712125147216014,1.7407211722375215,1.700775210666723,1.7713988796932636,1.7904607060173057,1.7388297778372648,1.740447724944848,1.7271293562368932,1.755547993655657,1.77359610626329,1.706601112718839,1.623863584435388,1.6618743417788695,1.7515584544998792,1.7311121739427522,1.743156175495986,1.6428328144264377,1.8373722885697927,1.8214720547990717,1.776199246469339,1.9480266827623363,1.8800493678159589,1.8367167349300801,2.0349674352794835,1.7443563774728097,1.7508779900645617,2.8037316073438205,1.9450153589635604,1.5808644809129873,2.1235379857039507,2.6403237275215585,1.8248149302865861,1.7009847397864644,1.6842480008774905,1.6658935715507333,1.7017554474318717,1.693131672451776,1.724420646123727,1.7304362220740361,1.6701470698948324,1.6558574511939395,1.6598354554773143,1.6910056428696125,1.8120314845180265,1.6746332608576429,1.7093185725444093,1.657492066197922,1.7162331770633663,1.6295456939523325,1.649759924052609,1.719588704736566,1.7766123098088848,1.8361602346087549,1.8248472830819937,1.9926439840745513,1.7714125938898495,1.7397420664427423,1.7842218978914335,1.7845719524521568,1.8098695224651742,1.7372146235650874,1.7898797209553654,1.705029248247657,1.7228863553301081,1.688070630274268,1.65420687076336,1.6711683218204043,1.6575492324584413,1.6555591993540275,1.7012674548661348,1.7272388136641075,1.847916774017922,1.8039043202519116,1.9841437772902857,1.8923005414352898,1.9589649785814387,1.9345362048236556,1.8901236108123312,1.93881516261389,1.872243023725984,1.8795710428006704,1.8393431704461738,1.8534599606331321,1.8399373475824155,1.8051491697129793,1.7757882446015596,1.7184982958297785,1.6971972066054113,1.6960957887806019,1.195275871777814,1.6144385919155049,1.60096545204627,1.567257433909079,1.5848867891384981,1.5333903121939763,1.6570292934284512,1.7105930486678487,1.7395939649195533,1.8299591256884469,1.784557221626032,1.7897638259417277,1.8052905786839413,1.761393112165164,1.8216126407378055,1.778313736896477,1.8083702245783386,1.7589490149585758,1.7067664789288812,1.8121675075136354,1.5875305672248912,1.53663864312646,1.5691320609832213,1.6094731529593396,1.6019796026870958,1.588866972189653,1.7007507519359133,1.7339617125761375,1.7216970004922534,1.712984151586638,1.743935906077176,1.7979624348561638,1.8385704904327744,1.8797304490845796,1.8978788504334472,2.003608335908097,2.1428727961875564,1.907626715235817,1.8866570630384654,1.8380909914859294,1.8752880712176327,1.7995734383554882,1.8688372040347208,1.7692492129994888,1.7458985778009652,1.6767860783271875,1.7053311325551546,1.7090219449823099,1.6338150006041123,1.717751719465642,1.8418521558871261,1.9577174657926906,1.8358420340528778,1.7307110760342337,1.633500508384465,1.6870370062375235,1.7221612247963782,1.7521213942376588,1.8390244783334708,1.823926889002003,1.9771967539636193,1.8263084428954544,1.8731679795774743,1.704632383846617,1.798470336366031,1.8195254679722066,1.8341778844140881,1.7726122824803534,1.758572936451657,1.6960813307585119,1.69340508089613,1.719773295598249,1.7794291017382065,1.8002746462433405,1.775280968323291,1.917875637433742,1.877542959177321,1.7740307407420433,1.7604013196727015,1.812774924783923,1.7785302756103667,1.7861224913147526,1.827734659854793,1.9504629725824096,2.015418537358303,1.8873531337490541,1.8769448141993943,2.1155044922271045,2.107487582271712,1.886691494042758,2.0265296752971755,2.412208444039625,2.1492043896730433,2.052593274990099,2.3721690418176116,2.514477065042658,2.0762735981309617,2.2381837167502097,2.0117998038251006,2.4967053286450334,1.9704547373936596,2.091411680529591,2.3221525893997543,2.445562011768036,2.3987589102010256,2.69728190149427,2.978629071007049,2.5695077549835963,2.5323702829088095,2.4084313195475167,2.3431071280384344,2.2667227777286687,2.0875695655739284,2.0439759267933777,2.09959409155321,2.073110036305185,1.8767405976021982,1.9402455657005981,1.9764554152185376,1.8385621202935123,1.9112460825925917,1.8126999502397312,1.8873862900026452,2.0136025662520995,2.206850798155512,2.3635819561139826,2.610980964457331,2.483863935549848,2.359215304788122,2.5265486863162625,2.6327278854508234,2.450901847523212,2.4571186201674062,2.749333611625008,2.789039110069681,2.62395919175786,2.786116662893288,3.0138293179305697,3.0172437430713104,2.8216709537736575,2.969933237236054,2.718903199653581,2.6879322470677334,2.514132764111556,2.507114147097509,2.5391349154879137,2.300545515064973,2.227892648149075,2.2707253934472473,2.2001250261638385,1.9908015188059913,2.057853374847993,2.177086000321901,1.9048282289693943,1.8768481691093655,1.9055230344231249,1.962809720336797,1.8359779232504723,2.0218323442139217,1.837455915562382,1.8743450380168654,2.0109272876140247,1.7451327136248556,1.7571258583190439,1.7843347641038558,1.858315579011263,1.8928530791548421,1.9565111368278876,2.121208941545106,1.7989705582511462,1.7470274999441981,1.773971415986367,1.8088808383333923,1.812782804637941,1.9160484245613965,1.9693539495451702,2.042865419297235,1.8589348130445702,1.8721563245511246,1.8521967830973052,1.8550779977402663,2.094920123850863,1.867091104188743,1.8934491358337087,1.9815437413766088,1.959344574323844,2.6039179557575483],[2.477745805826263,2.1366537870557014,2.209247621719371,1.8452773367582165,1.970401624860555,1.949019386508148,1.876328866176624,1.863400449202471,1.621483216990444,1.5244717621315795,1.4420231319154828,1.5588540101000325,1.5598314481878215,1.3843108997094946,1.4289102270518803,1.510110799047682,1.5156225681979139,1.4887584861824243,1.453230529003138,1.5003955293855515,1.5034377559181011,1.7486627057774797,1.6378911800419023,1.6968186396268694,1.5341424666135117,1.5486407572562988,1.5694855455178753,1.5725674599759245,1.5618740011529366,1.6151499079795812,1.5281924315599735,1.6323789601222223,1.6570350645915286,1.579763195926968,1.6065845194767578,1.5789593763581362,1.6743802110394947,1.6869507726514728,1.6468172896168332,1.5991813026235628,1.5841189560608158,1.621392074489605,1.6142711098608338,1.6088156429695117,1.5585198593682221,1.8252116163567906,1.8746303009053407,1.6859499064183623,1.9037894921681262,1.91525006023485,1.7868666152865529,2.1237827016503483,1.7304499366348935,1.6333837146052792,2.579244016991424,1.7907017761140778,1.5242975078501784,1.9391342241270606,2.3911506565806833,1.8526797880044041,1.6139991617514724,1.556508042578222,1.4916468371964113,1.5111714923719728,1.5293278592331028,1.5562440982077943,1.508403562279588,1.457586922595546,1.412716556508035,1.3784437151048925,1.3839929473375214,1.5079500148594391,1.411793447952826,1.4664446105893811,1.4095896013778146,1.5599787468388226,1.423242722467747,1.4562480193012868,1.5702571895906723,1.6215489223914556,1.725779031248276,1.8170229009728591,1.9859799956208466,1.7889253343269729,1.710157737826595,1.7347277628830338,1.6996069374320055,1.7079981993893485,1.5837571979321892,1.636197165925954,1.4924613875982404,1.5540087447423694,1.478452816968457,1.4569263525961655,1.4781907235584035,1.4434898498495523,1.4436140175322232,1.5398064341329611,1.5805024121031863,1.7720701180569682,1.7390612427792869,2.0206616178007377,1.881108486500397,2.040242829362776,2.052366451506749,2.0185898943180267,2.086736282669081,2.0492142686483534,2.0560966605454984,2.0262633825329726,2.010101537837686,1.9368758047967294,1.8548282814321533,1.8017076554331937,1.6194238396021747,1.6082576453991768,1.5700195897035383,1.059585540403361,1.436177696913405,1.408036300648199,1.3583431405141146,1.4003884046170532,1.3993597315700013,1.5557113242180212,1.6506505672082517,1.772326862004866,1.9171517198608339,1.8909973821515027,1.9379154114607557,1.9530051099773773,1.9233715387302128,2.0199244573068946,1.9060548311297176,1.9587403592190924,1.8574080137415683,1.7709476048448292,1.8483805513078015,1.654652179139239,1.6465540730818728,1.6166870073720712,1.6108381686317017,1.62442840039841,1.5148002199112773,1.655044358836207,1.6969469296674784,1.6594563432693776,1.6645016653160527,1.7087447841001273,1.8115294546633423,1.8303365438022463,1.9333003447330173,1.894511212617772,2.0381394927644463,2.122608651030145,1.862546048499529,1.8691263382353598,1.78477974439975,1.9126009794879995,1.7722614448395269,1.938480736627456,1.7954781731389529,1.7348852071584122,1.6923538983296524,1.6893638429160567,1.68187098356426,1.7395095281463036,1.7689494902275353,1.9044842780558124,2.0163805562247963,1.8732143398757037,1.7981719544742312,1.693505524752279,1.7249964658113293,1.765009059122536,1.7866970474922,1.8571921640652178,1.81356883924427,1.9619059164663195,1.8405138904604301,1.9150878490069443,1.8291117578004448,1.8718499308028809,1.921328864040626,1.9546101412368393,1.8695190056045154,1.820772675390675,1.6745036860011824,1.7411875456422303,1.793961125625772,1.8043008240931417,1.8272199964564872,1.8185287483161185,1.959076959665049,2.002376061834919,1.9309405183296355,2.0248549803161726,1.9696289213382534,1.9443312217345832,1.9783512668362382,2.0481876903494594,2.1239731464510268,2.174502773143919,2.107398681334749,2.09594846150819,2.248570961495703,2.2741986654615682,2.118534719368,2.21720153630987,2.5065316583792647,2.3713105459108497,2.2872071964583687,2.512332408431671,2.6981325894421158,2.4233613178808926,2.4352394560005464,2.2691314243124863,2.5692090053094803,2.130898621946968,2.249682993628132,2.400951726098457,2.5046860698646993,2.4028801233937025,2.668296141610205,2.7936595954075876,2.582963202297291,2.5280848054703897,2.36819345617226,2.3141673798643367,2.3460401753580307,2.18802648733578,2.14971176789306,2.291268113530447,2.3212615620699673,2.0809467730903535,2.0786814799718085,2.3061743108021355,2.0917156161748007,2.11779662375026,2.033112765071228,2.0382250318477135,2.1322788148760248,2.292279727856882,2.369405359375193,2.5648842473663374,2.419316460894485,2.3461334868036876,2.519577051277428,2.585076106009174,2.468780283813877,2.4933288265298166,2.731262869498121,2.7683605401836426,2.667451084287467,2.780165205862155,2.9615910415811646,3.006140852319836,2.842392742774418,2.95070414344424,2.7224273247061803,2.6779329374251253,2.5374876651672476,2.518098353940991,2.5513990547303176,2.3960994297606186,2.3106222183482648,2.3620542866365,2.3289377934807716,2.1581103425390187,2.2218204390032503,2.3765916616196816,2.1282876127999693,2.100201558066037,2.1385798783265444,2.269595054952705,2.099661913696892,2.325433491763931,2.106861164779651,2.1712071610104893,2.279704839050025,2.112206157395638,2.0463131517664404,2.06737770131649,2.144223695879626,2.1932738646228422,2.2912989464866973,2.3824484782658297,2.02849364408542,1.990678165400385,1.9820580168421436,1.9987278306972824,2.105342839981126,2.207137475770279,2.37029558300447,2.279788268765157,2.069761140841824,2.2462544674043445,2.082461870329326,1.953507037098633,2.2636042348732226,2.118621760128165,2.0163231951083924,2.0236350597604127,2.0150718540261043,2.529282541947303],[2.810459552624072,2.4685766090316403,2.427150434727129,1.968551965765481,2.0129084107049686,2.122177175169676,2.047115427112046,2.1327686879280594,1.9597549348662424,1.8670624507674518,1.8722122529842715,1.965675101600953,1.906239145492298,1.7948079688328669,1.8795379446944105,1.899103882478093,1.8521052790927417,1.817830143302218,1.8047284561857595,1.8248811117271373,1.8072211203699602,1.8726463156733544,1.7930541253570071,1.8352611538144012,1.7951638336762086,1.8118548527042668,1.8248468823335349,1.8090402656512652,1.8477748341802005,1.9442400578545718,1.8958426588179045,2.0037614446472607,2.0631724325038743,2.0003506585900612,1.9840785529128557,1.9289180342277286,2.015869739291659,1.9125449301143396,1.8775845295017404,1.8810151399726744,1.9224312825244956,1.862589698279482,1.8783994521690595,1.8711620777846159,2.021489789570545,2.3544541212969277,2.4288528817016637,2.0009004741741214,2.191782545437251,2.308332781863774,2.133046771887034,2.6022581020073723,2.087513883376289,2.113967702977103,2.850972351036888,2.0475974657111458,1.7716449451239622,2.3237391645838468,2.7570586636975545,1.9813716490895057,1.9659332155146882,1.9298052930982148,1.910388753350815,1.9566378082523266,1.8588023046482776,1.9138303419226637,1.841914052328912,1.827616278010525,1.8505409034866889,1.8386673449615374,1.9117686450967262,2.0113843097147868,1.87625243352761,1.9519342149596581,1.8484674197369826,2.019814277941,1.8662413379991236,1.8958027837032176,1.9273599452778913,1.9863146687006294,2.084361402156654,2.0500053410625516,2.211755721298935,2.037692724274142,2.0526656525012417,2.010146971661471,1.9636752611908028,2.041744180355835,1.9217731694644762,2.009049638348622,1.9027259566607346,2.0055283326844453,1.9231584121093916,1.9324603487191927,1.923515721666558,1.9132743966893213,1.9134716262171398,1.9676981742046553,1.9955538815345097,2.188705962021423,2.1373311445299694,2.3854562761463995,2.2236939210233206,2.33044668510849,2.276035674171103,2.2402895320890766,2.3342559853795772,2.259175532677326,2.265424740532332,2.2709446299104923,2.229729043577087,2.1154876283991917,2.0550177612594083,1.9389869901154941,1.8573119564976295,1.7972343312447445,1.7712609371997314,1.669920951362224,1.7090725777625435,1.7419044949065705,1.7033628633403026,1.7183337824650398,1.7013750928689737,1.7327602615221487,1.8257260180926462,1.8406954807998506,2.0402020147874858,2.0194831511092364,2.0509063341992384,2.088422886953999,2.010441387089484,2.149221667856815,2.0088382234282385,2.0870757864681386,1.940754340948884,1.9125602906380794,1.8280305645386448,1.7422954054738367,1.7297456874876826,1.7890933337350887,1.8940314754971541,1.9138865604550808,1.7264145203981114,1.7861311217642883,1.8419001264128694,1.8943647045415828,1.8735408606539545,1.9685575620824585,2.047322981162879,2.1062165202647667,2.2218377884765608,2.2175625107091568,2.3562944903211607,2.4003088576634073,2.2448894449399917,2.2500077309483975,2.138059295423735,2.2234961117574485,2.072102685865999,2.1945794037695996,1.9674973544371044,1.9586507825227086,1.8525827802122317,1.8814191802193985,1.8492167984277064,1.8011836910613934,1.8343239264611335,1.9971509097559395,2.057739418686493,1.9552535865280418,1.8402198478946863,1.8372099231135492,1.884298362022592,1.9482817604994738,2.015919082360485,2.1029268659574614,2.09823997457416,2.2009028268880906,2.0855235597752873,2.1163509439087576,2.032278174564581,2.0594064194924453,2.0732102132771306,2.0757619778423817,1.987109224981047,1.9570705166123838,1.8830260694646972,1.8618238728180014,2.1032567862440725,1.8852659470411448,1.8745037547832157,1.8795566611941887,1.9622039811160417,1.9685110422817342,1.9572682805110746,1.9992085732940859,1.921139208597453,2.023252572114102,2.0657238315282536,2.184796023846692,2.2823194214676956,2.3733091627407674,2.2955314347330766,2.261942337268584,2.4623627878082446,2.494189706237389,2.290466006802277,2.4547208812811787,2.779576572603023,2.6432230009321502,2.5709611082421926,2.8405934722552884,3.0381210472701623,2.7708036723905667,2.807698837708654,2.5719282069974287,2.946185785899674,2.366779927211717,2.5111678064831473,2.7148690161335347,2.7959332516681874,2.7289660301809455,2.9251312667437386,3.0356459994648866,2.846858708960226,2.78107840797422,2.5890955968151914,2.5283913487667062,2.5668136704602422,2.3872360369679804,2.3003185551661263,2.47788419855362,2.4681766207431672,2.2072197337461406,2.1946492019346664,2.42924341858497,2.1892078817762894,2.1477463413577245,2.144257058718532,2.1712695080006164,2.2767441474530403,2.480997410034422,2.5728775328675577,2.7655823824862726,2.610746287671308,2.5286391380514774,2.7386561054062373,2.8019802773391387,2.675406820582011,2.7203483004717297,2.9698452894347898,2.9953597910254994,2.903582789799919,3.0561993613982636,3.2251655514308704,3.260972790385932,3.1593830991660123,3.2736962929332467,3.0374082343133733,2.975385576534055,2.7961986691478056,2.7783504962573415,2.8529210705136583,2.656278284640857,2.546822948955701,2.6205789481931165,2.590436659825403,2.3499158268952183,2.4301794224947275,2.6087779847521317,2.294155587452439,2.2474596216531855,2.301569219597923,2.3900158380077547,2.1671646410574366,2.356610106973726,2.091977194626393,2.1039754400336648,2.4063543730283468,2.227069630456866,2.2335695560357594,2.2734478039577377,2.2478370888473105,2.2425518902296937,2.2778481072398042,2.379269128103444,2.096194496786038,2.067650034964601,2.0901236938283727,2.0557061097231117,2.3101650237827993,2.4890491094615905,2.760420281579473,2.6662788089978253,2.341749640872752,2.6130973300608504,2.5011160533710517,2.266362733905814,2.480532181996225,2.493165273335369,2.404074370190575,2.3807861782632793,2.2918192262370307,2.7721702205713394],[2.270273239973405,1.81363112529786,1.4421574649585094,1.0483625188160914,1.2141187813955565,1.276250367246619,1.2270970633655967,1.2904384191504557,1.2628838914139078,1.212359075625281,1.300746958986894,1.3492767134648203,1.243055895252087,1.2751049902393812,1.3088593070166632,1.269787767338646,1.240161844644984,1.2176217862123722,1.2171557479982533,1.194890463883586,1.2112878510872314,1.1641606197671845,1.219145180418827,1.2325430841681946,1.1983927571232458,1.1693823874473246,1.0852692098417493,1.1230462364772051,1.1964664035305332,1.2156144116904968,1.2586022849703782,1.3212095290004764,1.3626219924466936,1.34292596405943,1.2667224106509314,1.2146057853061525,1.2237640844149145,1.1604978203252547,1.0687966621399745,1.0720960293390642,1.1514256285144269,1.0720192854896222,1.063935173623866,1.147609799120593,1.519984478715418,2.0943556660711686,2.1558958841113625,1.2836064020682258,1.547663772843168,1.8248338419561418,1.489901806109582,2.2223217317137722,1.5341688097976485,1.5742199717629841,2.1630769734024136,1.30655046595708,1.7217534608237388,1.555643157167666,1.7588676200181752,1.565203468271713,1.2367753438847673,1.2358885107874016,1.2484909867887908,1.3990681404034022,1.2212113640719489,1.260554666168603,1.3992317950925477,1.2856995602913002,1.4501977090601013,1.4052906824105296,1.6469052426769841,1.7927863159036095,1.5104931112323963,1.5639983827260042,1.38321581679946,1.6243090229500725,1.320664113052315,1.3182141911047303,1.2311032915902416,1.2708803961013322,1.2433958068476434,1.1848833592550037,1.4682372574407452,1.2107320555901122,1.1066680931437904,1.161700002251577,1.158737663278711,1.2561105725857697,1.2152942160465898,1.2942951680544574,1.3261055309250944,1.3288966695738131,1.3674468219713858,1.3790393519900537,1.3512266784430806,1.4530747802260946,1.382522925750341,1.4244231075483968,1.426974777744166,1.530779552139652,1.3742125569452919,1.5297586579038829,1.3503200689296546,1.4834368832914981,1.4650491693343926,1.4736235029477398,1.5770212211146524,1.5367453391696841,1.5569098133396297,1.5258447814094438,1.4440301105051432,1.2584611372216281,1.1921829831803221,1.0900785474590415,1.143089398960333,1.0636424203574144,1.1188309036170436,1.588771907214008,1.1951847376747795,1.2378333059901754,1.2514632144460989,1.2163417843516882,1.1981523574790254,1.0924399172182797,1.0985852191702434,1.0388487589737698,1.259717668353327,1.2064192408627825,1.3305087168220018,1.3690607642860124,1.3455428632920443,1.456397179708637,1.3240336422718944,1.3455015837756024,1.2693317195613987,1.283109848999758,1.3972695841387492,1.1351192281467468,0.9737629240458413,0.9444547243425115,1.036412684713197,1.0628416273922938,1.0609446209870637,1.0021328680943222,1.0380819664200038,1.07328962543856,1.0635138020160921,1.1568266289606564,1.1660979053197087,1.2196178175771328,1.3554949828569398,1.4053321794397275,1.676919008042936,1.955770566114779,1.6730698419440622,1.5021425290695218,1.3687381588711065,1.3885620235561635,1.2702603584678396,1.2714434776388512,1.1646214655982843,1.1146845537260028,1.0075516976631094,1.0501255421913427,1.117927908256662,1.107363884904101,1.2523645216011998,1.6378927809562613,1.6955101861690942,1.5792581356130788,1.2811476096733991,1.1873975487553163,1.1472249921209503,1.114391677309554,1.1165061457837635,1.3008308967184747,1.2323176575570298,1.4245695795459798,1.227698119155875,1.3397731988263109,1.2375170508725106,1.257722986669449,1.2726820248513588,1.2897361654611983,1.171693197823312,1.115959400185369,1.104158150791932,1.1994694168134565,1.7448420842009869,1.372123945041411,1.499694490804263,1.213043540493366,1.4913392092673332,1.4878773995930143,1.3941003718568907,1.4953461475198786,1.4625916033163042,1.4985255196788436,1.5707169150252769,1.597659497552677,1.9231659938516739,2.0059677835386025,1.7829311539013175,1.899130619138121,2.2704870905110535,2.2781083482644986,1.9934031571560267,2.3337983085388845,2.749723423784601,2.5623080630379094,2.5564045075043493,2.9128408634832184,3.0755328260955612,2.797293403984506,2.989545646398268,2.6439455963847016,3.155535938827584,2.4416510007105763,2.5232074181438287,2.801767633808541,2.806543261297545,2.976302268438998,3.022680590229088,3.1515572268302914,2.8013236209839767,2.7072782709766354,2.5181845879936544,2.4200755530340428,2.4564731372308963,2.2039721112557404,2.0717988202909536,2.2248765021602743,2.1674975689220113,1.8663230897438805,1.871024189563039,2.0936617760111704,1.867095719679057,1.7272126700306472,1.714760968521221,1.7351340606546617,1.9297293183869673,2.2541886387575256,2.343759710814653,2.6722042447521464,2.4502144298767283,2.3423312192779253,2.648837375237755,2.711826160337577,2.504915697459564,2.629002361851681,2.9561215728472248,3.0058653165988902,2.9060427020820243,3.093732980379684,3.310399220903434,3.3889152535896554,3.246818351929839,3.3632414970385125,3.117390350283061,3.009484507931072,2.7612566069080837,2.735521906515019,2.8897919712562525,2.612614717714088,2.4262503801740847,2.5663135768848133,2.5395124778159004,2.1685016903237635,2.310678505489382,2.5639346145237227,2.1327972712086614,1.9780186121654142,2.1762577564528582,2.33005172877769,2.0502199540005703,2.175827767697317,2.0354817675547485,1.9842985141404665,2.404362192836218,1.975064622952725,2.0317823994088426,2.049944338965115,1.6903683445143527,1.6820880869126713,1.778689006537719,1.8421524780850835,1.654625051046171,1.487396268888246,1.500050137449713,1.4021024633327082,1.7239963287667885,1.6706872640001813,1.8395691128814309,1.6671626515014377,1.4745357769151162,1.6823228457291077,1.6310316975732948,1.3823346674573238,1.6194486352674686,1.6378330345909038,1.61432843348301,1.687129393788375,1.7554076541353156,2.0747756404704116],[2.640416111015154,2.2614069065288356,1.8864713512839408,1.3660521716068323,1.5015581511498794,1.4294320927229576,1.321670304185502,1.3486870551390358,1.0593013181785653,0.9229155290399637,0.8613847182615991,1.005167067381528,0.9882027104073843,0.7935310201840812,0.8463555786929722,0.9109814796871704,0.9215241384640613,0.8573661344579546,0.7875628199503903,0.8674582418763072,0.8125212326114152,1.0146154796439513,0.9381241061438885,1.0018597050916944,0.9194607396900644,0.8471946824610721,0.9062251364211508,0.9053102315306019,0.9419096347450223,1.011581375551769,0.9231577544611077,1.0871378357444559,1.0932764221209617,1.0145430292799678,1.051314962538222,0.9885792289134797,1.115708181260555,1.1024314205850878,1.0645629466150954,1.130984184109445,1.1404816686290975,0.9945825139141508,1.0163669167185223,1.1399716635425334,1.436092626144857,2.0221057513735774,2.1549194914742476,1.4226419852833876,1.685132505777182,2.0596756764208903,1.7785202388808459,2.4612038774811187,1.7151910662879826,1.5778643707003455,2.154292735303261,1.3752693418453679,1.4644563118182399,1.545929827324792,1.7948027066911065,1.571282705632534,1.2332359654876557,1.002300111106956,0.8928373241991003,0.8907377630892752,0.8868590318991759,0.8972022559809061,0.9315809493798131,0.8394413929198733,0.8641603142360094,0.8129986244982904,1.0003314183063903,1.1762270218815774,0.9300479479429199,1.0410366387258891,0.8358208886451235,1.0969502969346134,0.8642286962862517,0.9134935410526376,1.0003924476048445,1.0611453458848743,1.1465301256440925,1.4071801309345677,1.456050949079237,1.3130075084725792,1.1795858266667263,1.1975566169956364,1.120314733330732,1.1695417323753183,0.9913076599651243,1.0980590503319545,0.9203520424068771,0.9934000687833919,0.950464999859467,0.9180416851543076,0.9175424707838501,0.9033703050630967,0.8930446537633999,1.0084903165482333,1.0616834418331906,1.3181814884862497,1.2482477462902415,1.5398755161440199,1.3899831576248873,1.6135404045420727,1.7214408067887186,1.6808374232239334,1.8038032391781043,1.8379782411553294,1.8564343838226856,1.7624411322434235,1.69896166698502,1.4970403730756976,1.3318622385862608,1.224915737274915,1.0058205133335103,0.9112339715798795,0.89960831498281,0.9712778135811625,0.7904495317279194,0.7996820498950163,0.7730728322706533,0.7887395922377909,0.7996375710753744,0.878817748805653,1.0085525377336968,1.1812935796257105,1.4559687151348895,1.4502916268819726,1.6240561171880696,1.6552835010369975,1.67118159208946,1.7751574318118188,1.6468570708430765,1.6662596706935728,1.559936227106818,1.5080240976678962,1.6462253040751638,1.3541549068123913,1.1362964459862528,1.1274581615500683,1.0917807923297564,1.1534713301416948,0.9149350858823462,1.0097162084572482,1.0607101429309944,1.0482899328097042,1.0608226090045256,1.13695615647407,1.271360875047371,1.2660872787290254,1.465092797086118,1.409928084705121,1.674905209966694,1.739235610105265,1.4368465449705865,1.4237892443171998,1.2838757302013517,1.4381194703471303,1.2626391152319318,1.4406206747693595,1.3150671699497145,1.2002540874052368,1.1505846288687294,1.1852297093523438,1.3100442415743732,1.3372546386139188,1.5191888600890897,1.8530779672132902,1.9578056287419994,1.7480338252271501,1.56372094230808,1.4255902320760159,1.3706205751911122,1.3565681211370206,1.311678706874033,1.4160974230490586,1.2966700687076587,1.4730339575982927,1.3569926357389221,1.4848374095262273,1.5392158514599594,1.4987527566476018,1.568957480442784,1.6095289607986047,1.4641131414876956,1.387867986901333,1.2265482506830125,1.315929986832268,1.6228882297646021,1.4840560909648048,1.6234846406976764,1.4572614720305388,1.780779925466704,1.8289601486307847,1.7504122529429258,1.8440702419642214,1.7436610665017742,1.78796386336566,1.8771888454728214,1.905357780828601,2.1573041012077336,2.186450376328445,2.027990246494543,2.1624115435616686,2.403399486326138,2.382506625684885,2.256025961126643,2.4881919999433637,2.7299379967156763,2.619927683571065,2.6575132485033417,2.879015604686856,2.961538649083222,2.8376743961732185,2.98248583789659,2.7812247102072787,3.133612210903822,2.56418678326898,2.630054132318495,2.8148178360400924,2.8019567169630344,2.9710365002251877,3.017017432492885,3.041377139595744,2.8197323153847904,2.733952839323553,2.5360375847929135,2.4596237724140524,2.5410120335996487,2.353756525468988,2.2502584807203494,2.471551975724824,2.42799110319643,2.140610313542542,2.08872054004188,2.3368886361866408,2.1471407833075467,2.006868908080773,2.0243041529003185,1.9935006890461957,2.139830958769451,2.3688305818335063,2.388592995380759,2.6008000149753685,2.4303831892488432,2.3735228557791266,2.5906418950309313,2.615755309336135,2.4845875273166933,2.5765381353697134,2.7837751223976674,2.788945056925897,2.7695588564600726,2.9247211195354,3.0320822791896074,3.113887867972841,3.0559143681613206,3.1449577041216004,2.9833326451330384,2.896815277338779,2.7115204994096342,2.726033255549596,2.8394935361316356,2.660546135179622,2.5209433171975024,2.6477150327929317,2.644445491350434,2.374745863943924,2.502598388348323,2.6871254849814386,2.371727759887145,2.2319751312218123,2.3762133314622407,2.5155247392229407,2.293202329077219,2.5062097141312836,2.20967516874887,2.1993867380001144,2.556285296985946,2.2766011177412073,2.332537108586747,2.349667106402594,2.0389501017928664,1.9411920984965176,2.052224415089264,1.9999457706389447,1.8816895073683375,1.8259742429735615,1.8220316828312324,1.6868467148934165,2.0238777102352383,1.9776332559673457,2.1740595162700616,1.97705138256699,1.7375889846616923,1.998406645460718,1.8053636979718886,1.4958927820884516,1.8261546210454285,1.7993046125252965,1.6558815622530965,1.6450378418595746,1.5770202272114642,2.0450895634613553],[2.195721141215395,1.8414140269382355,1.3302325540830329,1.0671498126125039,1.166538583180613,1.1086740160901314,1.0320770993084267,1.0444434720602946,0.8522915758940626,0.750196855519009,0.7142060838842971,0.8314933105936089,0.8015120765104832,0.6692534968784142,0.7075059965924232,0.7396128897871324,0.7711589034344855,0.7349384861365211,0.7061113904599441,0.7460225550065969,0.7291847321870523,0.9099854673255594,0.8961963090174656,0.9671596977327477,0.8486238705852105,0.7733135757053777,0.7767891188602162,0.7616513117635483,0.7786848187718937,0.8113379046278796,0.7783093065861727,0.8832402805369153,0.9107308764144961,0.8334409381460084,0.8512917067388422,0.8061940374493198,0.8731879534570779,0.9065755171540107,0.8598050991925303,0.9026777000240093,0.9742104229763892,0.8557408619132326,0.8673084512672717,1.000696942094327,1.3993865499906941,2.0321346673771687,2.1923569190953818,1.3306674757174979,1.5805948435852637,2.0181897426170754,1.7080519836334225,2.4147238175784946,1.5898714283995303,1.465925515969014,1.9401531467749318,1.181343175614111,1.4616954261751929,1.3653905212924622,1.55527954670542,1.5233052255273316,1.1208925496717896,0.880932452895617,0.7613867160182151,0.8034810532299632,0.7763672514765747,0.7672882819295946,0.848886909269588,0.7394704819620739,0.8160499431652211,0.7460549228941845,0.9379822082691697,1.1202896319730913,0.8842024478349337,0.9887442313822584,0.7616690593496727,1.0560009577339073,0.7384748060011643,0.764668466422371,0.8209045042314135,0.8745314107183056,0.8987297760242091,1.169701848881949,1.1506557505235138,0.9829745365138833,0.9115429550276966,0.9269316830838099,0.9026183417965907,0.930601898837604,0.806986058569658,0.9057330479052997,0.7724663299045835,0.8949993252071242,0.8290195052558507,0.7748677247959503,0.774858245843126,0.778189999063731,0.7759807175368331,0.8231896953307541,0.8477092179803928,1.0576378049679729,0.9761323719246864,1.2155826552011295,1.0451838140643344,1.2251419597656141,1.284193742973161,1.256976395569378,1.3392250700613066,1.3405392259556705,1.3531299420726697,1.2863352882228738,1.2501081187921175,1.1265050009066482,1.0208791647013464,0.9622571587650989,0.8037359550493737,0.7523589173101052,0.7712413271272814,0.9548535845083728,0.7454527537234439,0.7178439402035937,0.7096473033401277,0.7044569811452034,0.7243806953297662,0.7383537310840451,0.8110051078740226,0.9376484778537341,1.1067708778397958,1.0794086245267291,1.2086823401896634,1.2212940229121148,1.2291338898513229,1.2782911042502425,1.2061412460885512,1.2169874422768663,1.183157239229078,1.2050623914072263,1.3521157706006945,1.138439116008069,0.9673947835834085,0.9407059615929368,0.9778216091487494,1.0598229902763234,0.8033624870190518,0.8446994310093578,0.8713067615623795,0.847122483869486,0.8522741447596581,0.8943296920735385,0.9678812325289335,0.9767314253954003,1.1119481024129698,1.1043015525496138,1.3199970695866452,1.43991368653698,1.1816809076503276,1.1185645329174572,0.9986272502641244,1.0987812343391914,0.966932538576503,1.0800827896529703,1.0073423387137956,0.928867830448359,0.9075392246672832,0.9270589507653795,1.0661097848855343,1.1374210963051852,1.3018672838429837,1.7354560673380195,1.7948748698755657,1.6126149947085175,1.3230945364766236,1.196750432607334,1.0763754494843627,1.033496201029255,0.980670926867086,1.0500933980370186,0.990240634438299,1.1317009632871973,1.0252981888064692,1.1114070135906573,1.2231744962737412,1.1001490114076704,1.1423422331540565,1.194852755117971,1.0970756299117328,1.0727878552243226,0.977071341125102,1.1066938369127588,1.6093253894858857,1.3296003278922128,1.4928911731170464,1.2054305180300222,1.4981652544226929,1.5102753994437421,1.3640613558370038,1.437669243183652,1.3351191436803425,1.3093436595472738,1.376688892654148,1.3826467482605787,1.5860490919307237,1.6072047795336348,1.4825417039600344,1.5960262948362225,1.8006141398843134,1.822828094384874,1.7319604552192096,1.901091226871565,2.135975286983721,2.0928835963961547,2.1083202105366317,2.298745199965058,2.4247880424900843,2.324085480963662,2.4368390924634853,2.230329562817059,2.5394429764654554,1.9731052301295309,2.01077782716647,2.181315206131692,2.1408866415273824,2.4123257464999135,2.399027340893271,2.486792547692162,2.1906726667307357,2.07331947872431,1.9209062913197452,1.8286714260249182,1.919401237056038,1.75473533736309,1.6476312167754947,1.8754532161374533,1.8411592843246307,1.577017978923816,1.5911928242018323,1.8555529961016035,1.621899242377994,1.5796650304900977,1.4890236126795737,1.4515005168610098,1.5578787053737682,1.7542657882243677,1.7780323628505554,1.987900979804355,1.8536161713474688,1.7932702597815255,1.9545778231147746,2.003707556665856,1.9169049212132458,1.9737601571267205,2.1750704891335984,2.2141639080325066,2.192217379524699,2.301972519357652,2.42409222967644,2.546569061269632,2.4446815668974673,2.5007922394930873,2.3448401817965094,2.2461566601899814,2.0708253475056213,2.0589095893611002,2.1789489227027605,2.038821506965006,1.8883210447169676,1.9963443649999235,2.0050302846184627,1.7764121062695417,1.8859796797620298,2.0653797921651003,1.79350692540221,1.6964913107329525,1.816968627657071,1.954300682829744,1.793247140805703,2.029728347236195,1.7888179040176804,1.791068459375868,2.017126518667542,1.7275157649728494,1.7924616619919007,1.9214141714229813,1.5746861657217919,1.4951435360361853,1.6302785282596952,1.7044387645351842,1.464129931549084,1.3794003185663812,1.3364927791393326,1.2717816391499293,1.526196718429036,1.5027851452507874,1.6621055605349426,1.511898535700282,1.3136630344563147,1.5482822358209374,1.3704846052953903,1.1293914812040051,1.4948631729950728,1.371907024180884,1.270843064092428,1.2882156004002618,1.2006565844409227,1.6404077803048613],[2.0458103566809203,1.6390022314651145,0.9901884153721371,0.8527891117360323,0.9291461083751592,0.8690087294773949,0.7714622948997094,0.8077056632928209,0.6364168163792743,0.5011257611837396,0.49387289100629295,0.6351178385224232,0.5489644681761939,0.4150338834727641,0.4686555390688853,0.48613797882455,0.5256605056883634,0.4936870747876505,0.5100861448378722,0.5309381285027869,0.5754530427165688,0.7670397857105382,0.7852642772888124,0.8606292025522899,0.724736786934192,0.6325766885889824,0.5607446473861958,0.5216945296386,0.5366169852784136,0.5735655604456872,0.5288192818852594,0.6444038807700448,0.6901621604745508,0.5982568920534224,0.5964040387187793,0.5502031593140081,0.621081607096359,0.6290289427449547,0.5742715492432832,0.6347489492785091,0.7618364618293942,0.6369766834164948,0.6427593395811328,0.8297451427824368,1.3497965896499444,2.042084040098268,2.239302726856155,1.2689134632039003,1.5298950083142486,2.0508133753276168,1.7229624082015844,2.425846713757379,1.5270510543432296,1.425758367801266,1.8665149672886605,0.9951384716778722,1.3597804608768818,1.2505072698275528,1.3586744204789154,1.4080035860627884,0.9194737043843115,0.6797893262474668,0.5491798604391432,0.6710235864352021,0.6147356364074513,0.584149762544914,0.7259716582932026,0.5573536336559863,0.7110338369027329,0.5960018852013965,0.8478187687636265,1.0762635724008776,0.7626590849268603,0.9139210663084125,0.5852314624796214,0.956371509398601,0.5330017011797769,0.5295615913090016,0.5629706488814301,0.6395594805535664,0.6539986255506841,0.8701205795586426,0.8823099156040992,0.7608079108360132,0.7024420930189266,0.6517511862716711,0.6257124314592659,0.6788141183495774,0.5406831592522219,0.6552373413278625,0.5527974983801419,0.6762365503930436,0.5958369564807141,0.5448851309619173,0.5468744499715159,0.6100941334247191,0.6084807250695541,0.6160067003318954,0.6399131655705931,0.8612551423496452,0.7387640372847912,1.0039139609891747,0.7924234016929869,0.9831939373987149,0.9877375657494987,0.9871252273337776,1.0854852272778455,1.0716041396650338,1.0762216509277964,1.0072417097102346,0.9708066912840189,0.8412495779372001,0.7458783144228529,0.6640756379296867,0.516018180817044,0.4960256853200255,0.523199258736248,0.8700266653495838,0.5805437059309645,0.517195355343907,0.5250554052672427,0.48775869827672336,0.5020261090548216,0.45462483116669344,0.5199468926800153,0.667299900994758,0.8403367655468486,0.8069640663246623,0.9317783372586672,0.9339250516178661,0.9744976423444583,1.0307388755274554,0.9806960459867545,0.9402328495354312,0.9409945122379524,0.968857478204204,1.131535864197879,0.880234484484631,0.6825759696915547,0.6642426814407782,0.7196634861548761,0.8537141147996294,0.5393352583930558,0.5537975862842813,0.6004771848397142,0.5648755976985553,0.5700257893010843,0.6183266977498301,0.679995390247131,0.7221115661076646,0.8731974649240163,0.8765748001211564,1.1044867481991982,1.2565135108552767,1.0183133557203565,0.9030425183189407,0.7627197813632532,0.865378971690069,0.7056276671166285,0.8079279577937599,0.725166500231149,0.6193884076099109,0.6105439359289823,0.6396458288940762,0.8362330803552881,0.8891614799394921,1.1385402844442045,1.6673444579384396,1.690400803712001,1.4914932289684213,1.1266228541961565,0.9570610100571841,0.82461491228807,0.7583217608737819,0.6862752159685525,0.7624340321035007,0.7397882392968119,0.8656139624458403,0.7547901818212137,0.8242065568965926,0.9263514561406982,0.8084141441387221,0.8682147472283667,0.9420200060289858,0.859841959079228,0.8161802598099025,0.7353407840673555,0.9336661664329652,1.5507537219481675,1.1957812323997963,1.3996579311988704,1.0543419074431821,1.367466957055755,1.3504173516698956,1.1822362987792636,1.2731102626977981,1.1194620684324512,1.1005378140703181,1.168146502686289,1.1368715246758343,1.344583911616943,1.3337424090464796,1.2169563450137373,1.3548518505177862,1.5502373936939862,1.569339823978618,1.5050420396361246,1.6770605457252912,1.8806308889758,1.8690775728938565,1.9010676984492798,2.0825113657021865,2.2061301725368865,2.1542972575420647,2.267410943222059,2.05931629871966,2.334789972766247,1.8271707110907753,1.8249184623444568,1.9843862242127555,1.9160547871879696,2.3794987060955655,2.2645513508513133,2.3469407095968378,2.014075341103481,1.8502281423895333,1.6965068878871714,1.6203256869174492,1.7304902008532241,1.5539825045961853,1.4321955579259495,1.708913910885516,1.6691248110028418,1.4037421119384859,1.4813466811233045,1.794476304145543,1.507322907876375,1.4803984167210098,1.305078350122549,1.2137224313841277,1.3141054313039395,1.4999680241201834,1.5098174700778564,1.7212029016432868,1.5800087996329768,1.5181212750642756,1.6593855853928403,1.6995463215190267,1.633317069998726,1.6942931602934217,1.8853591089828208,1.933905738371614,1.9210847827201212,2.026681195908346,2.149439384795377,2.291912750506217,2.188557194890835,2.2409853098716073,2.0939267129224373,1.9846929759673537,1.797616605741953,1.7950214985119952,1.9481719526162353,1.8063470571827747,1.6560188773128954,1.791953985346635,1.8022598406903099,1.5802703596452479,1.7274656345583013,1.9238226176166586,1.649085317072778,1.586150862134428,1.7326757736118887,1.876640557610675,1.7211564660066867,1.9000868858034312,1.7721569360755836,1.7426466405540746,1.9130258431010247,1.6074386514053223,1.623060039233002,1.7774665062667245,1.4716407401651288,1.3680850366052508,1.5191150925453611,1.6573658089968482,1.4043798867101513,1.158947998186462,1.0975636139718161,1.0196968338492234,1.2722402528082646,1.2777356216907634,1.4576174636787373,1.2567094371776213,1.0834217318255006,1.3593263666964763,1.171873042147157,0.9043739000279728,1.2956368323606842,1.1750502448750133,1.0653465897213221,1.09112611846013,1.0101983409242847,1.4223440926918118],[2.1766335405616912,1.7947029632250648,1.226872558998203,1.11733671607872,1.1190605032167968,1.078099729494888,0.968743470550398,1.0115059619964686,0.8180086255513275,0.6733092825207565,0.6435085058911444,0.776937761162458,0.7359236345064039,0.5463242665541296,0.6056534214648681,0.6755775508352155,0.6712295982803319,0.6363188735728146,0.6595780345062595,0.6840560942139713,0.7118997316149224,0.932242959013317,0.9069533539831286,0.9858008314924274,0.8701656928563087,0.7772681724479212,0.7479193206468742,0.7019718242206486,0.6958844636336017,0.7560255681999043,0.6707136813293951,0.8103238989682322,0.8503696080373817,0.746308879884722,0.7711954751168004,0.7120936872387141,0.8302906495851415,0.8245594486496383,0.7713461818501022,0.879113488170658,0.9773790367154824,0.8355350200488398,0.8586009647556071,1.0432957798767717,1.4958250558312913,2.134911192840825,2.382413080202418,1.5123789264564467,1.7356727953629243,2.2988983563160716,2.0378751679130485,2.650478067366307,1.785153365469935,1.6975356049639205,2.1094663618324607,1.2209183306357179,1.3653875688948383,1.5216269663059347,1.5653739642113071,1.4906630222963673,1.1044935458002139,0.8881483868180777,0.7033359831296621,0.7738810912052071,0.8092622398657604,0.7581001681513504,0.812265469325327,0.6723655285952648,0.7439150221518728,0.652375084749699,0.8653881726148938,1.098175798919688,0.800821809504572,0.9910887191003378,0.648865566641984,0.9410389880559853,0.6364173840473666,0.6283719760670168,0.7200148733576218,0.7888612309132704,0.8675788644753368,1.1109817663334363,1.0018680558790298,1.0327757688031938,0.9408943678868984,0.8779834227751799,0.8371691308954822,0.8644653627666506,0.7052897060837868,0.809000778058192,0.6764331638815796,0.7832491850551456,0.7164977450939107,0.6787251603418437,0.6797671528008585,0.7090296206388002,0.7104435695181051,0.7392312349325016,0.7760682815537941,1.0098975816658087,0.9240709869493328,1.1871113155820865,1.0244395281589673,1.1992734753497394,1.2069887255005372,1.211959971259277,1.2940944650604944,1.2866242520899955,1.2848689394190036,1.2213023536650718,1.1931379763563847,1.0608998138500527,0.9632950906085764,0.8717949998708961,0.7073101989660586,0.6759276240977936,0.6932393302659899,0.8157171572650298,0.7119216567153087,0.6281547585858157,0.6285867743237025,0.6048143946297585,0.6071358388048983,0.6110421168926937,0.7249567458976081,0.8583844377005836,1.04765102011988,1.0287456516921107,1.134051544093918,1.1399528040830944,1.1845854545496768,1.242749950855509,1.199175927115704,1.143082751484101,1.1342230868060232,1.1348280428380417,1.2724137833693845,1.0218419514316546,0.798850893102763,0.8237068139575381,0.845114140125968,1.0392018590455074,0.7166405630263483,0.748551177660488,0.7973460097271567,0.7740863760295973,0.7804084879633296,0.8212928845481143,0.9037052765432996,0.9456535010212552,1.0881565395160444,1.0633998080644267,1.263654134041832,1.3481037941835587,1.1516491092010814,1.0816255492454279,0.9523044499723667,1.0740225131887413,0.910161073124475,1.0193391914501881,0.9340406113733789,0.8228195906584168,0.8153627443660486,0.8636189898007892,1.037925232437682,1.0438074065909995,1.3010052059558204,1.7960808251231044,1.8079144619337977,1.587904192753656,1.269695392809192,1.1084197347334184,1.0258364871964492,0.9710899141105221,0.9212924551356446,0.9709190104252745,0.938052611708408,1.0070956673625928,0.9760242914427566,1.0156022010296417,1.0825750669406287,1.025327451204268,1.0787667671648207,1.1591386532347803,1.0826241062108304,1.0150261743604139,0.9557296231644627,1.0909756915051345,1.5875518588853175,1.2962325153323973,1.4912461319556352,1.2207739007842293,1.5163095549875294,1.4850671171552698,1.3400945386841847,1.4117260720741904,1.263860760411892,1.3123837482785312,1.37625824021373,1.3466112272951491,1.5350128623293156,1.5050168865962685,1.4036004259675294,1.5405943250736291,1.6891389820871614,1.6846148504077154,1.65856500134868,1.7998703298070562,1.9261803729126687,1.9338876721563152,1.9723334227947615,2.0982617588040324,2.1965973256771716,2.2186020872514085,2.2626837904924706,2.1024273786695318,2.3191376426609396,1.9191255782730878,1.9276732083073633,2.034387776563404,1.9093039836954895,2.6156953671303445,2.3188422858272513,2.4271260687508613,2.1370228150460067,1.9720895902718936,1.8251466106936285,1.7896567646376076,1.8937229000692788,1.7296609667605705,1.603707829374025,1.9054942045635914,1.837638294910464,1.6116045045819785,1.7172065763228905,2.009251393991891,1.7191296150795226,1.6948770996113418,1.5215618629372651,1.4146611325557972,1.502282447577272,1.6521275533154312,1.6549512883415929,1.8088524894497493,1.6905959879979415,1.6435628815057113,1.7312256846230483,1.751843634033618,1.7045913326186455,1.7621656832973014,1.8952918406617305,1.922413553617044,1.9333212969387885,2.020030368002522,2.110196106402234,2.241946715984937,2.159539772133407,2.199764876513568,2.092252451577617,2.008356079331691,1.8550724881560057,1.8693546632926266,2.005725064322582,1.8941547960262504,1.7878250559779758,1.9028042050941125,1.9083875375497827,1.7439766130177246,1.8944564687628265,2.0467597718660797,1.8138889401318374,1.7881246748407826,1.900003285150104,2.0173791019991767,1.8828155249063567,2.04823727649488,1.9323933097117938,1.8823565774436066,2.0025165445114763,1.8073163381553699,1.7902629635600391,1.9318088718983457,1.7457616105442841,1.5626795741253345,1.6778875795819232,1.7534103831434305,1.613151859739221,1.3421576726047602,1.3049583288197804,1.210904006564248,1.4391546530254984,1.4851034833464538,1.6865717927832466,1.4391753812542143,1.300170900235881,1.5769313761133326,1.3958650921004114,1.1186411261578957,1.4501434109431168,1.379991092205325,1.2554300642016638,1.2653610664320365,1.1970316128620824,1.5154616804708552],[1.9600140644425446,1.5387844030121374,0.9453472219842054,0.7930350676035888,0.8184602837495717,0.8014915530715068,0.7296495069699657,0.7525911604180608,0.7109886501500674,0.6787629639721463,0.6904583999790785,0.7252488239976548,0.7064452181847939,0.6844255935920052,0.6984267156193964,0.7088117188731464,0.7319506568055137,0.7615156811576331,0.8875511329243049,0.8142123956687256,0.8669827471387318,0.9999606718469124,1.0380004542345467,1.1267342368924165,1.0000173950685274,0.9420018374792098,0.8499180793327827,0.7970974309099614,0.7317172188209248,0.7012472192153915,0.7398666985693984,0.7146985788060845,0.763274921407519,0.7100491882627393,0.7081550242477999,0.7180953289294572,0.7173289693459486,0.7870878648614249,0.751310648937917,0.8503096497120082,1.0329449883492394,0.9124521004835541,0.9351335083322556,1.0897960846886012,1.5485456678563916,2.142978296677998,2.3648450033148003,1.512011386264401,1.705423317685725,2.2484113304832087,2.0166458705316885,2.6368529895737214,1.7832635943973316,1.6852493100193038,1.9583048135320227,1.19948153330691,1.50409043135538,1.4866308019193788,1.4722087499240442,1.6248761582085152,1.2462617002850664,1.0156254005346037,0.8077637800292711,0.9012724672909233,0.928993808049532,0.8224842748107932,0.9154122230235494,0.8399811652193402,0.9635594313086282,0.8896294789211429,1.0876909386289564,1.298505805617001,1.0484766895087667,1.1933461264570682,0.8336968335208348,0.9622063923109445,0.7757074903784964,0.7207644186068339,0.7426407825670508,0.7640576492897336,0.7451949754105409,1.0281357948349754,0.8611043520622689,0.8257447000335579,0.8328509185971327,0.7363294433406501,0.7665724020886677,0.7559116850189709,0.7182364989995469,0.787717780621838,0.7516565277134077,0.9710316627744138,0.8622804211895906,0.7362185741460632,0.735529033601782,0.7993353264104229,0.8136496278145849,0.717394472473751,0.7005261712737022,0.8237782859387941,0.7378506710065116,0.9031553779558139,0.7607383250479633,0.8601148140062433,0.8639190209760711,0.8788773259979352,1.000629929237462,0.9735693599397525,0.9556575842990641,0.9042457578279048,0.8558887964839808,0.7614948726358861,0.7160258502595067,0.7066119748014722,0.7010526266251932,0.737260215926894,0.8143187543021848,0.9741718221542927,0.9431261430363553,0.8259567557306683,0.8551611631637414,0.8050159394417451,0.8531395159879502,0.7415620041888953,0.7150509864992104,0.7065979098235203,0.7628954159417932,0.7490172233198145,0.8275883519085613,0.8385520523459413,0.8940958993867208,0.9376544109187861,0.9372935044418744,0.8713109316757388,0.9207442215135284,1.0272764137173032,1.164589306455087,1.0342292601109861,0.9365154814011087,0.9172570605269478,1.115775150366568,1.2839806051008493,0.900703579366251,0.8371334929214189,0.8025779256889181,0.7667016455878438,0.7583139151384323,0.7086788471335767,0.6918671118435737,0.7222202913582426,0.7940857505475069,0.7867929911332162,0.9757915256806511,1.1457445626345406,0.9453596149615118,0.8210093606742644,0.7414528494328507,0.7921968897292174,0.7063000047155116,0.7468654961538322,0.7436446299455446,0.7126607164424889,0.761991920746026,0.792833632883009,0.9971553848947688,1.0562064045223738,1.269040127461794,1.8161862863968532,1.8072338144920808,1.6246875219390982,1.2116750473859221,1.1042640351094624,0.9170431793239907,0.8310766646272603,0.7374093033359712,0.7220054060242186,0.744369835573712,0.7767574766346144,0.7616218470046234,0.7823019208422908,0.9908692973070076,0.7733432885091883,0.834866939485714,0.9123162571896063,0.8753758525192168,0.8870341708257685,0.8930375007260835,1.0606532378736486,1.6317310536406704,1.2627232119272296,1.4505281058768853,1.1161888346985267,1.3970373663319422,1.352196416303424,1.171494428317756,1.2717087089942067,1.064246134203246,1.0538139241013018,1.1181251545101265,1.0412651308750986,1.2659314393159393,1.2261978761971137,1.1131242158312966,1.2843725879471113,1.4740332678351349,1.480534643303986,1.4609912833432857,1.625145496810016,1.7688766024064648,1.7931771964578032,1.871081872240785,1.9990770771313213,2.0497306976744833,2.0633751643047957,2.198100122479058,2.0305528210718387,2.1673719343671674,1.7946651545611845,1.7792210384877865,1.8824978514570425,1.862763767541022,2.1063651411908157,2.122952221965916,2.2525829824963606,1.8623802035470478,1.6777841176138248,1.6182312372754826,1.5481608842112013,1.6679008163286444,1.5224480862231915,1.4414906235799456,1.5493290056707167,1.5489325998481625,1.3927687301328726,1.469208325140759,1.7180001784710293,1.4216074206560847,1.4353682345740826,1.2641132005283424,1.150359673351901,1.2434902183308136,1.4050757273895116,1.3708171285721056,1.5558338997663899,1.4301969283934741,1.3722308522785633,1.4999655971181336,1.5045451038950297,1.4668637110035598,1.5493143500996749,1.6977704188056584,1.7354235387252464,1.759380529541665,1.8538210353861144,1.945518691548785,2.0848171589768287,2.014344754197694,2.049714316883099,1.949167382794654,1.833141659956247,1.6690465807411865,1.6369942176467602,1.808084807388775,1.716176073061771,1.5696903476992023,1.657041486702717,1.6865032295518338,1.4924409993912977,1.5464404272924777,1.7140414509991844,1.5110153856599644,1.4739707335725112,1.5608237737992194,1.6500988233873979,1.526281468911135,1.5951289729764933,1.6296287702544854,1.584487088455433,1.7766183077776634,1.6495803365862718,1.634594420377514,1.880092376647583,1.7012804856730337,1.4087373147892612,1.4532279206872627,1.606813552077699,1.5048265542926935,1.1436207351216088,1.017840433301585,0.9107564004463893,1.20868142971872,1.1292575832149094,1.2946969517654812,1.075202635994593,0.9697581051950079,1.2578043067903555,1.0968257470995904,0.8567026609114831,1.110595141215375,1.0709750292656615,0.9790397026733075,1.0433870069639501,1.0530698019995293,1.36879239624883],[2.013165540366334,1.5551884688945945,0.9745103816091905,0.7205374842162967,0.8531146421678026,0.7721698002330241,0.6160001488187753,0.6769469172752745,0.5573723035913989,0.4284961181579368,0.43232354685705043,0.5253062573892485,0.46318546226264173,0.3877451143577409,0.4410941374671441,0.4380594019774292,0.4582569546971363,0.46993266430673536,0.5822945590128467,0.5725579900731943,0.6426926533649718,0.79794475584216,0.8595308514997233,0.9569388682985009,0.812257931656916,0.7085525013898804,0.6068905801778597,0.5338393801241977,0.49345349822925066,0.4854742447391284,0.4551923872142092,0.537458196428811,0.5533182052081418,0.4813418877032086,0.48416645784675416,0.46267313090195095,0.5154369706280887,0.5772114600350933,0.5329548716932302,0.6618550878785385,0.7997488291765207,0.6872720538249896,0.7304031480787441,0.9903604213964469,1.5328672178164453,2.1978618810595907,2.4968484810065825,1.5252248206701855,1.7039695588828443,2.335752795921947,2.074236994185788,2.7263562088206,1.7777199054292077,1.6792106334986014,1.8339117317816822,1.1271622799417984,1.5142972487992936,1.3471363561397658,1.2525319067045382,1.6365820982679011,1.0962898100890224,0.8021801923759108,0.6040925333723199,0.7116469417040956,0.7283334223808383,0.6221278844026099,0.7505603393281012,0.5798698071743597,0.731366037608475,0.6107374112858847,0.8507167718965957,1.1268299473708459,0.8028830967139929,0.9947294963026581,0.5910415586042664,0.9080857321589917,0.5691272785163851,0.4943726574720034,0.5185225901196839,0.6074374046359536,0.5218279900247831,0.8433201191197077,0.7341713125715494,0.7029249661600986,0.69993000840955,0.5680451692813149,0.5569223273302317,0.5685840561808919,0.4883466064202016,0.516537713091124,0.483778406328162,0.6464862862312536,0.5613615861661182,0.47819290967871925,0.479876522833739,0.5587857057500208,0.5945225624062357,0.5453425989912145,0.5613787805027498,0.7316527301488229,0.6093400843277995,0.8562728189952004,0.6306886975947265,0.7869900292195323,0.7939332141558507,0.8400741384594821,0.966630656345286,0.9451059580699743,0.9356237773838177,0.8742157925439275,0.8274578999359357,0.7058046489932006,0.6105926538642479,0.5233104777942208,0.44443314173813037,0.46134194797702116,0.5400895925278678,0.8608841644039615,0.6987060781927638,0.5432602001658771,0.5688155584494964,0.5077133428847727,0.5507188401201107,0.4086137458856752,0.42582153111914955,0.5339389497747261,0.7476872103045259,0.682162307118349,0.7838753757296729,0.781882937690317,0.8253112442907217,0.9062082959666916,0.8468307268463695,0.7928488545074149,0.7982369492447984,0.8831833759890126,0.9920770986929327,0.8057346273025138,0.6355983109003375,0.6731379468282453,0.8018451718273157,1.012487742224856,0.6072918282884819,0.554665504063144,0.5635898428716616,0.514737521513415,0.5155094430063498,0.5235835938288863,0.5542481088580883,0.5725650040134087,0.7324823607651698,0.6960969464277349,0.9179213762418201,1.1042453852157108,0.9089207402598838,0.7223233845699925,0.6124520591927531,0.7107717616288696,0.5822878198978095,0.6524120786915395,0.6197977996030666,0.531305514321272,0.553656810441525,0.5980376052583564,0.8378044566390109,0.8479200212491661,1.130540470140527,1.6957758609396274,1.648738848008119,1.4385250189878578,1.0412232757979072,0.9177364662977006,0.7642851404229436,0.6913502878875512,0.6133985191244749,0.6424054793296915,0.6234160600645167,0.7118099489813435,0.6643905759513475,0.6891735819701719,0.8996988617823942,0.699435995898103,0.7599035051526527,0.7951552410272358,0.744959799096571,0.7505272868034266,0.746785809693861,1.007008155482036,1.6480864962216255,1.2511927256476072,1.4571005150249967,1.037127846570218,1.327908439658959,1.2602699677938727,1.0944895674114459,1.223382103911502,0.9614626934299527,1.000400892793932,1.088476447959448,1.0232202632549647,1.1997406478521482,1.1566176771579353,1.078364444032914,1.218445764813772,1.3615481318152607,1.4111321228800586,1.4023202398994044,1.5080836804228845,1.6407918957799708,1.7333126510124903,1.7680586816994692,1.8582651326631598,1.9735799052010095,2.004525661333032,2.062566594284326,1.8811025586991517,1.9937792008958728,1.6284049780551615,1.6093048014045996,1.6882290322846247,1.6383002271526705,2.0981485393651695,1.8955681230792827,2.058182483277847,1.7075954849329549,1.5272218938549111,1.4953214049055334,1.4505561067873096,1.5543063706317664,1.440074253746357,1.361262119268807,1.4917164776842873,1.4810318914139042,1.361861693303463,1.5161754641770087,1.7714943775609726,1.4329935678463686,1.5127812452664655,1.2483355898247626,1.0740606980434515,1.1813736569672684,1.3053886601875604,1.262070017248085,1.41345460488038,1.3580573574862378,1.2880822922949071,1.372472503876039,1.4043329512373253,1.417928528165242,1.4424516635728901,1.5878983271963698,1.6647228610443408,1.670290525892315,1.7141102823564478,1.8299473785135048,2.0116625714649787,1.884348036544554,1.888753033499641,1.7721571050950942,1.6498893842419355,1.5061326592026614,1.4610215719297572,1.6173813363590723,1.5497888385302039,1.42532266812448,1.4979181658304686,1.5211388624570958,1.3859624538464672,1.472621299885675,1.6179395136263324,1.4283816226846118,1.4771621759260767,1.5800666530674348,1.6839023206820154,1.5300597814180164,1.5314376046143117,1.7329497997435974,1.573646943575661,1.6232543313677894,1.5895085906083544,1.542704762671625,1.8591822062205867,1.7748258453468972,1.43005900217616,1.4103709223979288,1.6001710440041055,1.5911659712465955,1.1684045478856968,1.0016143215661137,0.9092578278490928,1.2639271562019014,1.1397098346144816,1.2812699246642147,1.0252706006107368,0.977826964438071,1.2585934963218806,1.0763203182441332,0.847224697402525,1.0658636136613595,1.0552306774804008,0.9452573855664144,1.0527356422239273,1.1093239724247774,1.3455971450355686],[1.9422872103417816,1.4817633329049775,0.9686881498741035,0.6408585974689937,0.7922293598767867,0.6892266928728424,0.5567380718749885,0.6071001551362251,0.49668720573888964,0.40740835612228393,0.40166420116637547,0.4776421749514471,0.464744392391371,0.4087679886843533,0.4724724242975035,0.4597411108522474,0.505506626379978,0.5303896520724636,0.6327008780865839,0.6398292937552232,0.7000044044268872,0.8373943817308293,0.9070321259024021,0.9837535565651242,0.8737187530307928,0.7520275409014802,0.6655689878971212,0.584064325246735,0.541012384759094,0.5037251495091397,0.4852303558594885,0.5272404265385084,0.5603457526673251,0.4985138600358929,0.5046495988365394,0.5053266958000829,0.5328017574128117,0.6316054600915312,0.5955310506555325,0.7328574575954189,0.856643684436751,0.7570856975483526,0.8124067420939597,1.0797296239475993,1.5910637382018622,2.237611988699711,2.561590436380979,1.6393091579527552,1.7935188126597308,2.450838421028315,2.236588867591149,2.826613145993225,1.8895372116032256,1.7909165727190846,1.8745591352021258,1.230159017746686,1.567243728640432,1.4293985796238458,1.2962850178194678,1.7036954596518106,1.1696558791065381,0.8887133392668051,0.6751153648885817,0.7528517423133229,0.8092416158752358,0.7016106328494224,0.8166142765151748,0.6361797630906578,0.7766466639992345,0.6599925476233274,0.9125737224224345,1.1709192961125177,0.841791577219492,1.0348410398602448,0.6386600694258259,0.9291486880427706,0.639435376431636,0.5495452275586843,0.5819616665458524,0.6593719417102454,0.5596278949114831,0.910699135829169,0.7137022868892801,0.7559868220605447,0.7243840301787321,0.5930608113442677,0.6022966577074567,0.5934655082897033,0.537939713003417,0.5441939224299869,0.5321685466955534,0.6787915397741049,0.6077046662049553,0.5041922369081678,0.50046224047852,0.5801840372122008,0.6172461344856778,0.5218181487587896,0.5024230789949863,0.6392433534229368,0.5573559185429372,0.7943853873391139,0.5793336335137362,0.7429118640672204,0.7745344528393796,0.7983804657264113,0.8973343954824401,0.9011046246615001,0.8742783063813028,0.7831607505024311,0.7607346396518636,0.6667360960425243,0.5741461532090155,0.5162041299606991,0.4722910918253964,0.5116819859528902,0.5892855269697471,0.9372065398018938,0.7320630359820468,0.6076471542904797,0.6356643300375281,0.5668260769807354,0.609907754127349,0.4356049896043792,0.4154419776853757,0.5250288223169386,0.7085672668750996,0.6646447961591317,0.7320095233318371,0.7374033010349743,0.7972365608184683,0.882303814639161,0.8431846439673362,0.7570369697111781,0.7914750875465254,0.8757953144853868,0.9595002986041865,0.8099108083405183,0.6509826517544351,0.7040159430503569,0.7820679197401551,1.0237326804914308,0.645612648353514,0.6010001660043726,0.6130164733317849,0.5586355511773702,0.5597226851785772,0.5333399501661971,0.5412550069529936,0.5443049383661561,0.6666185063623873,0.606434183082583,0.8290247970270139,0.9941252550637726,0.8202145281237665,0.6336535548312361,0.5377849475416662,0.6438121250497002,0.5494183579679964,0.608576487615443,0.6302815243580383,0.5626941713737525,0.6024511153961012,0.6552163231914439,0.9049042167300068,0.8867341699532827,1.1751438925547455,1.7384648141889716,1.661055909905664,1.4526479872019662,1.0592238391268278,0.944821718906053,0.7928460000792223,0.7129818301786649,0.6407796879351749,0.6304946651328924,0.614174051425812,0.6779310732361599,0.6812955591832331,0.6786919940740114,0.9400020053080591,0.6900530803152382,0.7624337092175408,0.811540441559238,0.7649718395340286,0.7977729468801342,0.815260607272336,1.065619968449345,1.683859696967954,1.2917313256940424,1.486714179486872,1.0738062863681108,1.3482188752408806,1.264047330226771,1.1023106652263428,1.2316787545231642,0.9603582301130639,0.996859107149201,1.0721739299533664,0.9914725395319273,1.1282024095790681,1.0391347646546494,0.977498872436402,1.1155860421527157,1.1988007516530788,1.2243449817926197,1.2531755824197457,1.3134769274717573,1.3775363316913671,1.4984910362428152,1.5125249481696712,1.5467308492912202,1.6778533400050963,1.767015133221512,1.7405853492339118,1.605153210585649,1.6687886793790905,1.416149340134378,1.3824296788425063,1.4290423657903595,1.3866766915161994,2.032433340597606,1.6509057632822637,1.8343132128458306,1.5521446493587843,1.3848264233235177,1.3801403107328203,1.407986052277793,1.4709333150563277,1.3797577657468585,1.3259456286699587,1.5059391578964407,1.4738683674364044,1.3772315719993902,1.5928237405843755,1.840304587608064,1.4890988802063019,1.5783378166337112,1.2524283058746075,1.0395786248978962,1.1453163543269504,1.2056250391668462,1.1531694991447794,1.2456334244061114,1.2267377111954068,1.1599780803873712,1.1776571811892786,1.1852800625819226,1.244734257332861,1.2151498424571783,1.3036100916110573,1.368831804149441,1.384737095274421,1.4099967879464184,1.49850306768309,1.7067117604385846,1.565118192319104,1.553210885210531,1.461446923755377,1.3755216509326313,1.2765012625890688,1.2702981607788006,1.378430672593171,1.3244310965892716,1.2775453728538781,1.3437052485367944,1.341904539457188,1.2868568937635236,1.4227358245365798,1.521795166219419,1.3586328404902912,1.497167069969115,1.5992554417687443,1.692110719753164,1.5433842507681836,1.4507765244232962,1.845511285492213,1.6077079894419362,1.4433203430377683,1.472322480364089,1.372349850122317,1.6697380296627704,1.7478988498097225,1.3372183529376844,1.3449585230914864,1.5172036647851452,1.6409654706270527,1.0976218239166131,0.9594323491770723,0.8443626379733506,1.1916873367454008,1.0747851446900174,1.220325004820382,0.9054442140625577,0.8926380923027091,1.1819399621960869,0.9657327803120358,0.7441737179930925,0.8975653551698235,0.9374444400503358,0.8183389162193322,0.9518415814583154,1.0787169719228638,1.306482293929915],[1.9657964430906767,1.6048120859962653,0.9784460832178825,0.748047164948177,0.8844015004542081,0.7913709193559688,0.6508208867077548,0.6829379316678398,0.596888096242345,0.5150484322496329,0.5075885128842014,0.5505377468912909,0.55515942793469,0.5038581819026555,0.5573783746992605,0.5417935917410251,0.5751895539840196,0.6061589643981304,0.6821472903252508,0.6901131168269691,0.7466818979603255,0.8888926564919627,0.9328322264588063,1.0064297112643563,0.8859667025923283,0.7842780419010233,0.7102862641373839,0.6402926227745377,0.6040510270115934,0.5802879847206307,0.5589809813001297,0.5810964520815113,0.6275765061325957,0.5761578439407419,0.5532751410006991,0.5627191172755117,0.5857089088026624,0.6884231507383867,0.6427070617086728,0.7591439763480388,0.8808808400602213,0.8221456608180233,0.8694272430456966,1.1790742023485732,1.7122271337961412,2.401597707945564,2.7165220820757146,1.7376318784931273,1.9095277333279705,2.5571171043478205,2.257797011768516,3.0041744379728725,1.9947165251361012,1.851849583678977,1.8379797058672804,1.2576813801935678,1.6001102936807006,1.4506520038381452,1.3024680131687658,1.7510165375805458,1.2064652206968052,0.9217108192097974,0.7461391909422964,0.8146015713967953,0.8432546485277332,0.7395194532902293,0.8614970042229632,0.6951718969763416,0.8211031236394942,0.7185474523121022,0.9359611142824581,1.2221899714376983,0.891284143334157,1.084859567148112,0.7060644273674097,1.026515988931856,0.6963654891977902,0.6267140603002035,0.6336885039151274,0.6848473954201715,0.6063857358408903,0.9498833178199535,0.6793048153616655,0.7557620541978599,0.7863760186570596,0.622163475772711,0.6459563088446548,0.6445615617919059,0.5912075773873305,0.6028211161183732,0.6105339402641223,0.770437938655151,0.7172949363789832,0.5953520985924923,0.5801506750185282,0.6683895367747476,0.6935279382365835,0.577339749081241,0.5543942366073299,0.6713072829584231,0.6156279738126954,0.7836776540519587,0.6284184764317124,0.7357217548929422,0.7301820283935756,0.7602095894018364,0.8267882058027928,0.8328286866147121,0.8087741597522012,0.7354038973862888,0.7479892885174186,0.6793845005118528,0.6429145945887098,0.5926938637734338,0.5511869752381395,0.582495577764479,0.6476097195306502,0.9065899740722827,0.7911915890751272,0.6747078183160962,0.7037552081046413,0.645039899975786,0.6650693749336656,0.5284143612521683,0.5241066377821042,0.6158790295594947,0.7359233039807082,0.6766374931461867,0.714084305598276,0.7122740929265657,0.7384981409083864,0.7892311283454051,0.7820675780592686,0.6907816835254441,0.7545152241659844,0.8768272996273596,0.8977143005641326,0.7731323688092434,0.6685137623065399,0.7634256935111053,0.8549052041047873,1.0597803334444367,0.6812424449921588,0.6507861657435726,0.6475415584220832,0.6290757117025194,0.6234415980746663,0.6018175829968606,0.5873777290701565,0.6237556684462232,0.7058149062585884,0.6603957702799906,0.8449625492092442,0.9993632131458674,0.8752865930485623,0.6822479499264521,0.6011169416101718,0.6705821023192257,0.6042006009858566,0.6362030900588174,0.6646073684317624,0.6031959294870873,0.6286388142318504,0.6668244334750152,0.8678291676947091,0.8631571391332422,1.1319392557743029,1.69198001448875,1.5861320553414657,1.4127886792689834,1.0150605581505374,0.9216474023675048,0.7835314889696943,0.7048118990149825,0.6486661520423355,0.6141298171291143,0.6593741667694976,0.6676628395235584,0.6866630026580298,0.646730322751401,0.9373164522537829,0.6504601297481952,0.7070172402141197,0.7744362989679682,0.7312804731603721,0.7769564253209439,0.8211550043789713,1.0388890425451,1.6872697332719342,1.269312185399235,1.4756977635983883,1.089891392436391,1.3655466182301597,1.2512953956545925,1.0901350692998213,1.237415185126482,0.9028683302656834,0.9161823578846509,0.9791182437740434,0.9225357787214723,1.0076032863408846,0.9452186820875431,0.9040768833872761,1.012866987142994,1.0852362415017163,1.1645901086807755,1.1994117198106142,1.2188000895298117,1.3059444797200666,1.4729197358549635,1.4527133576145743,1.4907647550875727,1.6774729100999173,1.7363199294781166,1.6967213471637297,1.5333664489518413,1.5805677580387008,1.2715778301382026,1.246234885179227,1.3023180236090306,1.2150103412575253,1.8417409534180804,1.4742265792128462,1.7336396872761968,1.4006993507372412,1.2110840864618913,1.2210617328596352,1.2516709131074344,1.3110451079510996,1.2247322259653,1.1692913893863177,1.3811487101142603,1.3474450282719315,1.24087823534352,1.5392755477338196,1.7154959817896003,1.3936782042867337,1.502830257088449,1.125015359754675,0.9207319711957643,1.0018701773250018,1.0670281320723776,1.046556073016616,1.1170962147961339,1.1690295925095966,1.0664125437716991,1.063493671901718,1.1373878908043282,1.1970942373570321,1.137769671538767,1.2629170651255097,1.3771311602730927,1.365119207004298,1.3553669558165682,1.4758487652209709,1.718913153093509,1.5182576550936404,1.47924042586136,1.3703455274854728,1.2599103078094671,1.1549937534014734,1.1155840830923416,1.239916371804716,1.1967255691130192,1.1254229603678394,1.1852559011568415,1.1975473642024361,1.1384150466796892,1.2619253467304827,1.370081313786434,1.223778760323015,1.3592594080823557,1.4498327122539785,1.5638897182811424,1.417486117948977,1.329594808025194,1.8023107038346378,1.6009748921496452,1.3024281362531762,1.3313064710469797,1.2575744492544612,1.5959778044978357,1.615968077222053,1.229154677054905,1.2954697341849415,1.6316766387589392,1.6541356032022696,1.0723768671549716,0.9052054072258863,0.8395947691892749,1.1771038938185925,1.048021003846337,1.1763359420665607,0.9611641834913001,0.9355146749430575,1.19850534203946,0.9666771847477451,0.7844065580140036,0.968834158139826,0.9434775878170047,0.8570712136361865,0.9625393119067528,1.1598091430095991,1.3335967610627955],[1.9478248445138922,1.491920247155679,0.9288909412336339,0.5707364771350923,0.6840436555870194,0.5998255164594122,0.45688652085211817,0.49443352484650577,0.4455443314779545,0.384886982190217,0.39450278024061647,0.43916145496163733,0.4459502202009653,0.4365797795488135,0.5138128858469007,0.4816328002021642,0.5585834137397541,0.6309194387580443,0.7847112102552679,0.7496197130661495,0.839264999523938,0.9375198095995121,1.0482303302596054,1.129977631446016,0.9950023764853339,0.8794657740270977,0.768752587396972,0.673319350620868,0.6005265269923264,0.4944214269577931,0.5761572333044421,0.47218487121340574,0.5282539483330617,0.5361923175547827,0.4930935595031005,0.5549575089274728,0.5024023429092053,0.7014298701407925,0.6690919797283358,0.8098515893165273,0.8865684786739874,0.8542445581864925,0.9267765433180294,1.3347099855687046,1.8820508530414268,2.54516768277111,2.982206689113905,1.974694694264169,2.0592016519461,2.8196239451276814,2.565568521861809,3.2099620675728837,2.1980754088002454,2.0045849604221657,1.7967095211714144,1.4564433320591836,1.7483063222159927,1.4861692043518664,1.31271038713175,2.022968552987648,1.3845080742973779,1.0480476057999888,0.8266364831572958,0.9233857225391995,0.9735379221916992,0.8233662559083538,0.9264872314119129,0.7710730368569532,0.9193714989503119,0.7911628444323021,1.0204907580611935,1.3310782974162405,0.9901891889402628,1.21452535939463,0.7821405894208024,1.0642702355872666,0.7833645035283153,0.6933528371795628,0.6911190362881231,0.7524354310495248,0.5873807835395931,1.0093605344785577,0.6678820453137929,0.7727931241696747,0.7869444703731018,0.5729197968761718,0.6483532291413335,0.5813039797863272,0.6244784905845928,0.613536621263785,0.6541737913762866,0.8637612859830104,0.7996466581948186,0.5852684773064425,0.5419597039727706,0.6518597621750504,0.6586565555872528,0.48772095083256023,0.423152458096191,0.513801986117997,0.45531124516353877,0.6304165139152603,0.4440190182871768,0.5417659350405678,0.6635574430262597,0.6076814334162647,0.6565009591918382,0.6990072129890176,0.6531258529022953,0.565234545842033,0.5683118857421802,0.500992517562797,0.4443373480109363,0.4326520640198694,0.4702601351197883,0.5501758432271737,0.6569967325000653,0.9362708373603837,0.8982427995835423,0.7247482540955552,0.7528023697322876,0.6394745758522947,0.6774447103673196,0.4607806922093091,0.3961090250392629,0.45932972743742273,0.5618731903527597,0.5265640151718971,0.532111379794307,0.5605556098986024,0.6141371346493103,0.683720317417261,0.7040939797024172,0.5811850977086728,0.6493172024948527,0.7706213914991145,0.7766034955223572,0.695776627647877,0.6430419348712157,0.8320573695499943,0.9600645248599289,1.2152806146518345,0.8096718340859718,0.701066411635727,0.6849637383050872,0.6048961635624127,0.575569751237843,0.47847933683818245,0.4233568126618916,0.4510165363472302,0.5110151100906212,0.48962504757171077,0.6888915265640437,0.9420183673759591,0.7755088628971211,0.5093922770182925,0.4243629997852189,0.4797710600650787,0.43376734700804914,0.4574178848910373,0.559860022367834,0.5469350211083692,0.6456217553384339,0.7081186360088129,0.9887962736708387,1.0010631830603693,1.234745501874457,1.8429531413041695,1.649113116763462,1.4151754691090275,1.0164655826738096,0.9252562954840676,0.7567459998232872,0.6847252615403533,0.5894335384584112,0.5030983358573311,0.5063392879011891,0.517396644379068,0.6176629214766428,0.5722076386725031,1.0595680547333364,0.5758297207211615,0.6896351326640445,0.7552915200042972,0.7278705310237956,0.8535985116387944,0.9128487453275218,1.2097045923425975,1.8299194934507448,1.4189187776005476,1.6234169935707783,1.1180771419483424,1.3689464151558441,1.2105415122405105,1.1215673625989384,1.2798592869566416,0.9090876668064337,0.9043610534891375,0.9647210736704989,0.8481558117858944,0.9620542244892037,0.8175131368844523,0.7597471381584676,0.9192214660605991,0.9798864461707031,0.9962065829333745,1.0568851290907384,1.1194184155706681,1.151861182339883,1.32095766405066,1.3453196979342061,1.3772398341616308,1.5264464681157734,1.6486591121668508,1.624417976367553,1.4845500976190027,1.5326187852104265,1.3320625430493482,1.2366412614187166,1.2871736986924174,1.271828549874091,2.0079056106082027,1.5181983154463936,1.6350457350507008,1.3867468592072192,1.2383149700176233,1.2091689776863679,1.3583275097091405,1.4151271430625563,1.2793483743654324,1.2640517880246502,1.5499268580035523,1.4739828583048495,1.3547700670318588,1.6703040056393277,1.9203195286697858,1.5332701615997488,1.587278787359188,1.1737389535339557,0.9283046757174849,1.051356543489863,1.028945502884493,0.9716599690759162,1.0134262829486609,1.036579544328272,0.9493260744439845,0.9456155996838939,0.939599271463365,1.0072734020225858,0.9589830540544937,1.0533448782681705,1.14432237135003,1.160613049674999,1.1798276983781852,1.276258546123235,1.5354064029563759,1.3720823528826354,1.3474054537795088,1.2547122947975906,1.1544528552562197,1.0461472455581915,1.097022598392632,1.1902318678083021,1.1233768278826324,1.116163501897353,1.2118998677894817,1.1882095504500885,1.1523271538497284,1.3763583396514187,1.4509737937546952,1.2667172548206558,1.4676013912161638,1.6301098575176698,1.7230004714340406,1.5355775844074937,1.3217740896767767,1.9619290975396222,1.607357907314001,1.396431752525053,1.404510952012849,1.22813144935266,1.5253987169044012,1.7006122836820328,1.2117642188620492,1.1921430529958017,1.3173390079829472,1.599640176109122,0.9352223115371883,0.7998485758649342,0.6562927474786092,1.0482319000221694,0.9100430369852943,1.0655302034397491,0.7650193991055388,0.7721365573373316,1.086501294042214,0.8476571567305093,0.627005312999033,0.7986918284815713,0.8635105123193177,0.7454671642243509,0.8556878839067537,1.073485599423464,1.2872378756102236],[1.9316748489799596,1.5400403605673716,0.8418746440215442,0.5015448906588744,0.6037430553513256,0.5204720194519588,0.3946246278948384,0.4242923588362668,0.4333231285753449,0.4067647207501633,0.42479448029936245,0.4585688765297745,0.48885840349663695,0.48984354511780714,0.5703416389875893,0.5470533277374457,0.6340356883767566,0.7265426081316309,0.8748440473846262,0.8490205352172009,0.9274913891847335,0.9955156669052714,1.1196788362937746,1.204607534632977,1.067898787010616,0.967260369766107,0.8613717530262461,0.7656571152676661,0.6866266535574715,0.5581124247434358,0.6889962253465519,0.5169796344011989,0.5897259267596344,0.6416774553856384,0.5737471963043254,0.6538918114965709,0.5686712282189251,0.7867788690901515,0.760386907196257,0.8759716696141765,0.9437383976537916,0.9274624532776217,1.0028142866839929,1.4767361573168964,2.055974862424392,2.754735370285555,3.1875540906150577,2.1037423827753647,2.18457640205534,2.9397406943023334,2.6042236398172824,3.3960312067456657,2.3405376494683647,2.0685707468850905,1.7045187500104197,1.563574388333376,1.8680421993998464,1.4844609023280921,1.3440659101709367,2.174268813731687,1.5059600253945533,1.1469403529343711,0.9404206361087751,1.0410265474669091,1.0691908453521224,0.9157955569920915,1.0060090291465644,0.8826277199926241,1.0247594880790059,0.8885297151580712,1.0971597276800973,1.4206106757714647,1.0871805622437585,1.3063971373758656,0.892470596850152,1.1748276420837596,0.9026198362503917,0.827367073601928,0.8141123356648778,0.857046535964867,0.6972504650399215,1.0867149975584545,0.7388367190662143,0.8165328640159871,0.8822032617396233,0.6445995663395001,0.7395043650182533,0.6773146868171903,0.7342443486290949,0.7260157231440445,0.7782614365828545,0.9949594672068707,0.9360104930703415,0.6995239895466075,0.6344710683995354,0.7460762002955689,0.7234162073657137,0.5563945468033081,0.46100625087883185,0.47913772351523765,0.4679236592961552,0.5489038549243805,0.4557988155260682,0.46349634090248437,0.6545157610076066,0.5310891391284307,0.5439459839794553,0.5646101943987081,0.49335671000905806,0.4658606295668376,0.43299281552520236,0.4150239390307379,0.38732219135373935,0.4269583511783323,0.507828988278989,0.6039187719601405,0.7219503585706825,1.004483488005373,0.9837849690911347,0.8116557856211626,0.8304880935685922,0.6988580031607875,0.7275937250847383,0.5059712721941093,0.41355966407660105,0.45448693678799107,0.44222650960666576,0.4444626927718355,0.40436990143559365,0.4733786692312861,0.5107593175793733,0.544554900449161,0.6444516519241764,0.522940454699225,0.6207448132990231,0.76535835144012,0.718802701320469,0.6637919849577704,0.6885065321934418,0.9845244774392335,1.1367667204103091,1.3330296183239867,0.9242450893755221,0.7958022394521861,0.7761436982594734,0.6808287854055304,0.6272097951935443,0.5062318862226712,0.4197185347064845,0.4396507722883156,0.4142860073957659,0.4389291550528879,0.6205391369427699,0.9569586485984608,0.8180088343901153,0.4640035431569679,0.4149851667513076,0.4164797174566914,0.4459927266054435,0.4329104064385825,0.5805539824966451,0.5996858586645327,0.7304518166098938,0.7768299374845516,1.0479800177511276,1.1050040585948697,1.2708114186448909,1.8847426467699002,1.6410874124866492,1.4319403346069546,1.0286514510327858,0.9633176777779635,0.7966291362310718,0.7270410829079923,0.6207577524775304,0.5050217164066494,0.5273645157314669,0.5151220257303102,0.6354151257126717,0.5978291560622959,1.1702592870999717,0.5627250781486095,0.7110135582795523,0.7814759376625737,0.7710352171902588,0.9483140506996413,1.0116613962306384,1.3074318565121787,1.9473838187599093,1.5135266967649497,1.704025354839951,1.1780714612049752,1.395728043542992,1.2118515721276593,1.1600614749224893,1.3377631202318743,0.8893931669967978,0.8272437772918302,0.852623332281607,0.7275322837508413,0.7739180027322636,0.6213627320805526,0.5765878247140657,0.7176988661399237,0.7567543421299942,0.8229018513046498,0.8966903165821509,0.9286987540810312,0.9811610624541729,1.2050911333678211,1.2061372004686963,1.2410948922857545,1.4434521832301936,1.5507890561535358,1.5293678780434548,1.3624361292701204,1.3897153365335264,1.1423196506347026,1.0308131976954953,1.0876824078878629,1.0680457075594578,1.7524010106365615,1.3222544797340712,1.4260985833164581,1.1598094849480969,1.0012837144801858,0.9707709067397033,1.1845177598278023,1.213870405520635,1.0781276612434343,1.0997649982747058,1.4173304305141396,1.3313706522308089,1.2090596416615444,1.6058825007165383,1.798181929042238,1.4263340257213584,1.4991954945934651,1.0342466038877285,0.8084667089318373,0.9017786618950739,0.8257316056667554,0.8229724140179737,0.8254798254007721,0.9161477883561286,0.7797047910534239,0.7418642121328142,0.7919142333398647,0.8546519244521644,0.7694507734815649,0.9024083340575902,1.042288847990242,1.034686314083876,1.0230451984310887,1.1516241235139393,1.452376103953286,1.238542414726023,1.1862826684862917,1.072059578128457,0.9476498528070916,0.8344891053057371,0.8887774037455298,0.9652689910272364,0.9110280276921857,0.8956644969095611,0.9938197189629827,0.9821730100719175,0.9554763132466972,1.1830164870535869,1.2693374082188749,1.093777955734443,1.3053199331968401,1.459014505145567,1.5650879267685607,1.393308173398018,1.1845881019969964,1.898315708597647,1.5892915065505877,1.242267339978639,1.2297614198124636,1.0473732270650808,1.378214514009981,1.537557879561723,1.029716485371418,1.0784768618594924,1.343645584090981,1.542292097838195,0.8006677946587505,0.6716597069798937,0.5155068821653838,0.9224202130558727,0.7678933986857707,0.9163614741828512,0.6719353704663029,0.6726865695775872,0.9896180579506707,0.7278606994163462,0.5243358554213243,0.7176645827969669,0.7821612795027553,0.6596881652354801,0.7753937774946588,1.0752837802794737,1.288611013466915],[1.926484941534914,1.5208830765956518,0.8310603413344402,0.4390095875643821,0.6015166160398716,0.4898986919796165,0.3871150525457319,0.41559866917700783,0.4079713623596549,0.38116684900730885,0.3962557472930471,0.44180306179319007,0.45177558650032723,0.4417538955569597,0.5213123566536875,0.48511816443748473,0.5504165531630887,0.6108169298429975,0.7227321483927729,0.7089644794124784,0.7711980318867673,0.8777082017893376,0.9545973324900779,1.031494563441117,0.9089863398016549,0.8083024614705194,0.7225005887817065,0.6446575560845141,0.5859742291019984,0.4899316901994185,0.5769151725791151,0.4744279882308111,0.528388205762214,0.5485846401307679,0.4929053064965989,0.5423157784484026,0.4968615398899158,0.67970020431945,0.633639762387266,0.7517276721485574,0.8468677834757984,0.8053090173665792,0.8647304961356164,1.2503847789655966,1.7969438363090449,2.490549954824783,2.836804102347822,1.8252322986341925,1.9718712855933227,2.6508385227932174,2.3338853696728865,3.1455361448128207,2.1034230607163753,1.9137622038186897,1.7441247757707041,1.3462151978391137,1.6869026245475736,1.4247728798612016,1.2680756821730914,1.9022002521647148,1.296442423671582,0.9784772629561188,0.782188810026087,0.855337973287788,0.8905749836060592,0.7684948743145599,0.8852483701319246,0.7338814719102099,0.8643480783742471,0.7545786360053908,0.9852897431420786,1.2706245796970808,0.9411665387322224,1.1575181084349158,0.7528597883453635,1.0335834796243448,0.7423666891686364,0.6679872602074082,0.6657472211883446,0.7102618700915859,0.5725463479646306,0.9716517410824425,0.6409720188076948,0.7132675245859614,0.7694007224938325,0.5523631673509087,0.6234433766888791,0.5876840874747662,0.5978602348252637,0.602197362036594,0.6408464621783411,0.8395551638225599,0.7823756182753319,0.5922973656757242,0.551017323605789,0.6581299688880113,0.6657119561876766,0.49945414251857356,0.42608504410250153,0.4828921824042293,0.45017866702817616,0.5495369278768295,0.4294682036275658,0.46969965713724404,0.6204691964160242,0.539019842092799,0.54843452357406,0.569577556650601,0.5018169263996664,0.4680888147110083,0.43911791518735305,0.42503523044255254,0.38719982388301094,0.40924572842762624,0.46714503167398985,0.5365884200655557,0.6344822174478525,0.9174327938253929,0.8201496174028248,0.6910449933682351,0.7175262531684373,0.6298442959501671,0.6622252728607627,0.4612666184141954,0.3872720239398775,0.4367733239834067,0.44976998170747395,0.4384736992246137,0.41712480561855325,0.46964597258479757,0.502170836058329,0.5349168403271679,0.602384837383944,0.48590174956501514,0.5855632851096628,0.740600561677167,0.7056403926026158,0.6431838811090737,0.6342528698943058,0.8369092206830558,0.9392701275074514,1.1298520779116223,0.7438979996310682,0.6674705495347563,0.6510028069758185,0.5847815742390434,0.5534150665366332,0.4675398472752461,0.3957097952273442,0.42681777253322617,0.42027891447716487,0.4220104689309147,0.6084090181224614,0.9303156298625601,0.8015205621423721,0.4596738284145277,0.40082166219457066,0.41316931053592676,0.4251956572090724,0.42312766264045565,0.5400125887815016,0.5241844802938015,0.6186659196539755,0.6657443661287944,0.8980604954790382,0.9468274222869953,1.1338929626216214,1.708633091044347,1.5458209113306156,1.37502843123739,0.9579331576283638,0.8883209994161285,0.7144193359071045,0.642413895968513,0.5486186488738035,0.45696165543178535,0.49286591423507464,0.48872670838161936,0.5758162701636134,0.5291180027621561,1.0406922342131832,0.5140227844053158,0.624302445773364,0.6936514108473575,0.666570660455368,0.7916030362814429,0.8492135878684135,1.1041789524815235,1.7610419543388467,1.334430735675575,1.546813904051391,1.0673784605971497,1.3202291506977506,1.1613011660904384,1.0427494520330107,1.2288359734600725,0.8302208529135238,0.7879238370173509,0.8198532904374854,0.7144673585932514,0.7389735600573418,0.6055883290319182,0.5632908622814734,0.6799488231602956,0.7060908962210101,0.784680756926117,0.8449952863617074,0.8517939172976874,0.9145099773504245,1.1329178667735416,1.1053568066850152,1.132124330710719,1.347631670627235,1.4389962875404785,1.4066895807586681,1.2452787344089513,1.2487427747656012,0.9771490939512353,0.8973262956678087,0.9537624919759538,0.9503208011558337,1.5787333435716648,1.2141480608156507,1.354960655032937,1.0807747303627575,0.9093239759701098,0.9059186293850117,1.0897538076031341,1.1099764483074257,0.9985690827556646,1.0192678036809033,1.306947220633329,1.2373592243218108,1.1216939344910029,1.5224262643312167,1.6593111828183484,1.3318216142149013,1.4431176654943174,0.977061098920402,0.7575671489857436,0.8362545087909391,0.7850361945808985,0.807178530576646,0.8136281899223229,0.9266734141013218,0.7764751934542128,0.719816405901994,0.7968355913577668,0.8593544255833994,0.7427524254720311,0.8710920993927781,1.0129698169041828,0.9891852305339223,0.9656661761036656,1.0830512235660172,1.3742627910416128,1.1455371407960337,1.0847467753086963,0.9747409930957452,0.8647535669394846,0.778112968081028,0.8220431778428285,0.8616589386898392,0.8264856759099092,0.8179118968955107,0.8907933425484924,0.8810597350828502,0.8750599420178178,1.0712810655256464,1.1522489779439204,1.0029317755309084,1.2094851703299545,1.3235337811881769,1.4392487244861294,1.2944270243762102,1.1195205879741006,1.8335476135549276,1.5965896855826187,1.0890473552373439,1.0647176676963774,0.9277681464002835,1.272172525560381,1.4156162668450738,0.9146859482216254,1.0267199211152385,1.429626847551773,1.5408113536884898,0.7952629514631616,0.666585446237339,0.5403880365435938,0.8935809180322134,0.7552806960614311,0.8835975291904389,0.6401033663894476,0.6443869118500668,0.93376490778902,0.673307752993572,0.49973500925650316,0.6067470145662721,0.6993378476159876,0.5967123233980423,0.7223858662788507,1.0384554521204712,1.2476158728901647],[1.9211636035161406,1.4096053777756363,0.9177888451245442,0.3999975150550706,0.5332829515022016,0.4883706132233514,0.41298990722015766,0.43645843977628995,0.4215817480944357,0.4153844389384473,0.4254187372113585,0.48735482761712634,0.4895591098579288,0.47633901204113144,0.5658903596334313,0.5281557664917472,0.584879161712403,0.6404395456962461,0.7513776663417501,0.7509585952367436,0.8189275328287304,0.9201317499019922,1.0137336969106627,1.0728083630055643,0.9762080511213416,0.8511129677439445,0.7586498645001921,0.6746888765621281,0.6211876504536026,0.5256176986619429,0.5899862352665937,0.5094841377399657,0.5517931345570289,0.5596768367633035,0.5296334086208344,0.5742052804435565,0.5375584584801643,0.7232371196859916,0.6822550441366916,0.8207092768778043,0.9007329907989443,0.8483121430405824,0.928072252163288,1.281540999212917,1.7703593552878334,2.410291267557722,2.812583323247397,1.896448285136044,2.000798987598922,2.7326518573643743,2.539517105387604,3.1397789800311497,2.1588202993402597,2.005886316434801,1.8327995555264696,1.4461675674529582,1.7229778721052824,1.5169550815639898,1.3358338472305984,1.9501281942275082,1.3489720348313534,1.0477250650205028,0.8237679185515271,0.8769401179642938,0.9585923057072702,0.8233699984886662,0.919731449125142,0.7574233300749381,0.8763107984189322,0.7595457081268784,1.0043477196036608,1.2643035872327242,0.9304193987011532,1.1822493011305424,0.7636483791194626,1.0052698660187946,0.7701148858260748,0.6827317132645021,0.6999563303910933,0.7609497369275352,0.6092445816099544,1.0347323531059105,0.7063094818267565,0.7753838410706936,0.7738379837177678,0.6007007130194401,0.658098693609707,0.6056405415024563,0.6356915006496006,0.6237262254923251,0.6461131913742463,0.826086832444313,0.7660066147217838,0.59850811687387,0.5626792945713471,0.6565570355016772,0.6657526943633277,0.5198891037097162,0.46350915877952953,0.509095199892013,0.47857003760107647,0.6158022907467952,0.459355265050499,0.49451832661555156,0.7146391523167896,0.5775276131722014,0.6095000827759826,0.632105821927466,0.5626305771568184,0.5375422559189151,0.5090398566307214,0.47183645652639306,0.4242508859376522,0.4401496690747337,0.5290178685006827,0.5895198217317394,0.6776436259687092,0.9539552817805595,0.8464297429195172,0.7204361809155828,0.7457658650698606,0.6631409723553202,0.7008636886706312,0.49569748952327286,0.4280035538955172,0.4644983166289727,0.5209667938850486,0.5259939587852068,0.48909595856121274,0.5544678534106934,0.5713484688327495,0.6192270351586185,0.6989696501015634,0.595982130536608,0.6755253598519056,0.8196846503818548,0.794264968933656,0.7452164433725278,0.6755213565690101,0.8419630978469219,0.8680886412759855,1.1388805530194814,0.7761407120178158,0.7008428945195153,0.6882716083516659,0.6217290163511077,0.6022738739640078,0.5100677841016985,0.4425738426090071,0.45137207943133945,0.46289224634724774,0.4350209419730102,0.6403441421833193,0.9210322815337474,0.7561636476375994,0.4736424837591505,0.43141127614188346,0.45590675473976566,0.46265193602359306,0.47296342482159653,0.5949316642731495,0.5919908465773843,0.6773140520510001,0.7444683215550847,1.0321616940365246,0.9871772342750887,1.2642471145808754,1.8404997463619486,1.664954664078962,1.4495743181425167,1.0527178915375395,0.9742306532792812,0.8114789881227883,0.7446810003912223,0.6438742795433652,0.5592337043855371,0.538866699270804,0.5512497532163982,0.6708611975233371,0.6376130872120994,1.1097466458263456,0.6241588994159621,0.7358130327003003,0.7934118320644654,0.7719617787527352,0.8847394117767413,0.9335443753402846,1.2079216250513753,1.7996378550447736,1.4085285543827102,1.6145961803012605,1.1506180358680058,1.3894594138428193,1.2256753914401577,1.1430783945040754,1.3057384603011004,0.890966093459518,0.847838471689413,0.8869426903962602,0.7552757781354289,0.8291812676048621,0.6650036692507991,0.6192243014640262,0.7398223598924519,0.764940948316765,0.7705663473877219,0.8323721817790434,0.8649174839264423,0.8717389482493292,1.0652155987961704,1.0669029386448476,1.0687073098754045,1.2338466557202887,1.3928839682999623,1.3449659470772537,1.2428286438063887,1.2009402935069504,1.0574226192385023,0.9446758559160294,0.9890217410651324,1.101975344163086,1.7566638503542311,1.3361091552095183,1.344356090623895,1.1575584007044306,1.0575160088775815,1.039430452464207,1.2854174766511135,1.2908993972736786,1.139746913957226,1.18449997018161,1.4807704067262186,1.3886090666125155,1.2704090679122788,1.6200440108368046,1.8288682682835924,1.4580982229528061,1.5129438436704385,1.0772252052439413,0.8700719940418293,0.9722848313867275,0.8848247438966033,0.8632983396236766,0.8793664668089017,0.9422818288967837,0.8218267643982496,0.7823408663912713,0.7722569575518949,0.8535156101571953,0.7293266174787248,0.7911578302828903,0.8839027344282693,0.8931111411069285,0.8984053993603537,0.963451809884878,1.239849232749025,1.0658260658228926,1.0232287538355858,0.9430329823752049,0.8854367987687901,0.8211820964396033,0.9412218530758397,0.9272310161826373,0.8719234496590441,0.9340004438759146,1.0044155513998376,0.9569367076749679,0.9762005144608136,1.215650194053387,1.2444297064794123,1.0774727731075382,1.3309218040249167,1.4649959902856773,1.5391061565921325,1.378671158920978,1.1126482624296683,1.9344915242502572,1.5980888624128748,1.2009252895519547,1.1835623048857191,0.9875105637421244,1.304351474300536,1.6053000265705857,1.0379459476549566,0.9731053795375977,1.1150066233747515,1.5230003864398642,0.7965136734929726,0.6964398725495825,0.5501053776025386,0.9121795144628222,0.7460315138107347,0.874852390715935,0.592583343815574,0.6094539554844765,0.8894025729649557,0.668373076255985,0.525385359530283,0.5365082810652236,0.7109181270820395,0.5919478809917011,0.7291465338292537,1.0161740006557467,1.2904298279201993],[1.9365115536117865,1.4312208086597151,0.8909072998983293,0.39160437363888323,0.49280684460277047,0.4445638181253639,0.41128262877184457,0.42696032804586004,0.4476039719777582,0.4732368158434598,0.4901129168531322,0.5349267660656621,0.5650377032788821,0.550065367025685,0.6528711211845921,0.6283591479870978,0.6974644504624644,0.774576718555858,0.9153781860329068,0.8968578519454581,0.9732360605270016,1.045918005907818,1.1718261733673438,1.2346556485568552,1.119268938204144,0.99833227199364,0.905093941708555,0.8135487842503563,0.7523582346296662,0.6347628864843131,0.7329023033798494,0.6041644676494399,0.6398813050690618,0.7062158510382289,0.6529125792517256,0.7214582181226961,0.6668679488326363,0.8701150932125044,0.8390990018230869,0.9710633292012897,0.9990252507287405,0.9837178059106398,1.0844256371542216,1.5589358724542957,2.06745817115454,2.7204629407657093,3.225111470360958,2.2400887621267063,2.2888651904004624,3.0980437815496438,2.872974799700238,3.4840204489120126,2.4762329784954575,2.2355303631238423,1.8342176644227837,1.7242744065672,1.9377906776540323,1.6308092191991683,1.4672172705199036,2.255236707733149,1.5763766046281176,1.2327788486261033,1.0077333265345516,1.0643635939364742,1.1376520997403905,0.9823027155475905,1.0508625213430425,0.9124423082671967,1.033896756027094,0.9026808750228362,1.1477142970142067,1.4554392491177377,1.09827753339509,1.3458863536155994,0.9248860981858544,1.1554238074501375,0.9560281343151867,0.8839511937191887,0.8868133271695047,0.9442522733914037,0.781699767236996,1.1942886741094656,0.8490330550394424,0.9286576358917148,0.9440860432787311,0.7487547480265587,0.8123190216415066,0.7552465108173799,0.806547180931611,0.7878056530368892,0.8295334043806976,1.0158411539858296,0.9568735723283432,0.7405425392314516,0.6786562290977453,0.7766759850671532,0.7504553191548888,0.609282405320215,0.5395361532199701,0.525015504395704,0.5466491848021278,0.6138150899116526,0.5528359210794872,0.5180133711220252,0.8072475564238173,0.5989833751932171,0.6034159225926158,0.6501986849471195,0.5563462978099277,0.5445706207012262,0.49483244066344423,0.48796767814304365,0.44337225156221827,0.48920962797029954,0.605450484272401,0.6846371134415186,0.776316987749616,1.0175489870714451,1.0072471870327586,0.8544598577948977,0.8626005309261794,0.7550177785678946,0.7773242694086561,0.5717507581871487,0.5018364199421624,0.5170904198450088,0.5072440538436267,0.548032605810298,0.49245023763997575,0.591580406793328,0.5974941584265442,0.6427940879537791,0.7637145920446358,0.6692092530917372,0.7258919850527781,0.8460268969682901,0.7887381587205052,0.7179984779505995,0.6998751670474419,1.0150819290769648,1.0693105485992023,1.3345884085894153,0.9704596519462217,0.8473431691980817,0.8333538438065312,0.7504726034829137,0.7044237966610041,0.5877560619316025,0.5103758866530569,0.499332697047087,0.45794171805279316,0.451413569957231,0.639392532535314,0.942759194733151,0.8053527814750947,0.4890870235291049,0.48479334544482644,0.4760207473872966,0.5352543624014723,0.5420136722885833,0.6808595357804493,0.7130525175223947,0.8205830057335273,0.8945357564089249,1.2136143263013581,1.1597771956861374,1.4097301152573274,2.0028373423378882,1.7221701900194206,1.4679465135858776,1.1104101551304701,1.040701049765079,0.9123457209721312,0.8620462389320419,0.7602885873106885,0.6567465278615696,0.621768552818564,0.6310301350497097,0.7842180983094692,0.7643028050803855,1.3001170148609051,0.7288772425377331,0.8820664406482402,0.9238617298917686,0.9096795045931036,1.0679472450570386,1.13260307413288,1.443305001230251,2.011469458986299,1.6250968255851137,1.8159419646125752,1.2877411980189921,1.4820479016671557,1.2778175432134218,1.2825695376114186,1.4494598306834003,0.9908091487045882,0.9224863768159645,0.9335249833170094,0.7801010896301471,0.8429694418982507,0.656913702165052,0.6031727036988429,0.72209478720091,0.7401352989707212,0.7304581065530257,0.8038426883754459,0.8450386716017225,0.8387133297742296,1.0515491923369868,1.0624724130244585,1.0665867308161885,1.237784024923715,1.4105748710204729,1.3765722533631382,1.2668250634790137,1.2219854229463272,1.0982519598864051,0.958344049857192,1.0035831023403505,1.1630602590075783,1.8167392730655145,1.4047975962648842,1.303733310144751,1.156646940854595,1.098248530497294,1.0577238152731416,1.3973877800640087,1.3692193968693829,1.1813355622462958,1.2664990971775782,1.5996256290971005,1.4751823168952145,1.3472185874429603,1.7403966024844029,1.9482949003822745,1.5409960963468439,1.5773607161423737,1.12089928856613,0.9518521635523918,1.060937335298746,0.9076468037405876,0.9160277539411315,0.9065918284332422,0.9582726819024353,0.8319557000144248,0.7871188185019282,0.7520352945874049,0.807913008986207,0.6869205077896449,0.7433150959602084,0.8386532516939986,0.8506831072600382,0.8602457174026584,0.9271490335388639,1.2222856499998307,1.0502041330224374,1.003519114108535,0.9228378724945187,0.8636871952852933,0.8061239037962563,0.9775148462251928,0.9230867170931772,0.8591908650348038,0.9480124010408129,1.0291961486423609,0.9635472884001611,0.99488426643839,1.2770868283235737,1.281718789101562,1.0907497542070739,1.3757885969122157,1.5453494183113687,1.5955329395076456,1.4165627010027206,1.106221301950463,1.9856894669977436,1.5856465412183822,1.2638491766890716,1.2294449770082452,0.9974733987215637,1.3041863276992962,1.6261885214833658,1.0524285628015642,0.9675507384052106,1.0263787745181199,1.4975051211409878,0.764079449780876,0.6983887736847229,0.5160752734556214,0.8891530868202504,0.696650888809835,0.8211514462707791,0.5563920171914803,0.5754459266198217,0.8643228772382847,0.6275316239836359,0.48462107643840624,0.5164534913159227,0.6927523723280888,0.5620980520462528,0.701792189406381,1.0202159354886988,1.2727358145373142],[1.923729719879371,1.4634491589924874,0.9104001799124748,0.44557015550618506,0.5163378348731226,0.4945507592256707,0.5020859833088176,0.5098926049679366,0.5468135800536746,0.5605776345148795,0.5741512429939462,0.6282208602126371,0.6379528973177507,0.6062666740227416,0.703008579589593,0.6852988968674791,0.7335116298033321,0.785642918599919,0.8892985413377115,0.8777268824625716,0.9272612655363323,1.0009162818522193,1.1027573596524476,1.155794521892598,1.061103797054616,0.9524579727374884,0.8831834014979228,0.8158693576285422,0.7719377500494196,0.6798678602953984,0.7707035863242649,0.6643602604471979,0.6973959322005819,0.7470382734959203,0.6926395817041096,0.744422507145456,0.7093476454111788,0.8783899035499266,0.8414227783428361,0.9551531596776175,0.9761618112070228,0.9550718437790502,1.0409721674519157,1.5044750755764118,2.0045990829741314,2.6844416312326427,3.1175406333059503,2.1360875297182087,2.233229356002817,2.983406397261146,2.7128890609281995,3.4632577846609807,2.4290198430586343,2.1874779063841765,1.785089864585625,1.6539213039696516,1.8947669552144624,1.5863607810940885,1.4249992553137714,2.1881437492091473,1.5230507432340665,1.1908234610921415,0.9827716342395371,1.0153425201815136,1.0809050891683294,0.9498566883888415,1.0181582034582857,0.8966998675565246,1.003686205694439,0.8997360450218137,1.13732885244784,1.4273209121840003,1.0783138377663546,1.3174640939795066,0.9172067620812023,1.1360144266556564,0.9424304877171479,0.8848579148935727,0.8905261627748845,0.9381255015579609,0.8043425666329743,1.1993285560871627,0.8832761852515031,0.95187654658286,0.9791422077212413,0.7795683021605605,0.8216163656755507,0.787502440163059,0.8162756901809766,0.8107056070176708,0.8456357880421732,1.022142124232176,0.980841520952193,0.78170078495751,0.7249465728324311,0.8201058949443767,0.7922293453932198,0.679274708489853,0.6282812786537838,0.6084121840530334,0.6364672727045152,0.6662342148118652,0.6451012419100116,0.5946134829437945,0.8709294437671382,0.6610991639416632,0.6641384164184958,0.6842619925743819,0.6011400203955516,0.6451076069561825,0.5631813897621005,0.5705199971711081,0.5313694075902857,0.5648787771120879,0.6672023450305353,0.7231514150833677,0.788997600355594,1.0114467814544632,0.969527659128414,0.8515638425058698,0.8605345234722462,0.7753690425989442,0.7928930465403231,0.6225676345996367,0.5859330600552838,0.6072438723914839,0.5777528466407317,0.6159191327789822,0.558239446972058,0.6547049394976631,0.6519966505962503,0.6687279462095236,0.7960491777878096,0.7205098530598719,0.7712855820067773,0.890234505068525,0.8055759625710385,0.7334299265777531,0.7284994696632918,1.0729719725961588,1.0734443663347333,1.2876602315121228,0.9383790411722054,0.8488749448095405,0.8348906593301852,0.7755416737246222,0.736482765834182,0.6451638655796147,0.5895463466759439,0.5927740733422842,0.5490005845275736,0.5570435479407547,0.7015259857526894,1.0149177621253365,0.8985009339607597,0.5900526700112877,0.5899977361259349,0.5684819046498056,0.621539456055573,0.6304812485842676,0.7329419362298369,0.754508273489797,0.8491460633354865,0.9031432998378822,1.191167915757851,1.163369409237574,1.3747555430206144,1.932095389514639,1.6791049927872057,1.4737189233165058,1.12033760906309,1.060075999170757,0.9381360519561232,0.8965691941238498,0.8004085233060172,0.7144411963065009,0.6786617031845328,0.6835138506956941,0.8175166651918352,0.8022593620731074,1.3422509355963377,0.7721360382807311,0.912438004069098,0.9372162482987771,0.9277357321883152,1.0676517105930867,1.117665579994751,1.391456821895253,1.9663536095136258,1.5738521864570052,1.7608212987059793,1.261496846065044,1.4656660477300945,1.2775681396335636,1.286986010820554,1.4754288627419951,1.0242779000002629,0.9593605309190352,0.949825206875544,0.8224860151958305,0.8284865035901356,0.6600276634618184,0.6094003984063338,0.6879581793709508,0.6768316721006219,0.6676919810687401,0.7261597850377892,0.748798639106448,0.7374547709178957,0.9536234642716103,0.933796455989012,0.931653530778385,1.1296861288014102,1.2741366419821993,1.2396654704375658,1.1308973841382937,1.053378236834922,0.9297716744106703,0.8085059720760513,0.8518761076006958,1.023859990560522,1.6139828835054004,1.2726554361880233,1.151113617735451,1.0252823252332652,0.9923742906145728,0.9722211639978592,1.324752396009555,1.2622742734309598,1.1093695278584046,1.2085018312456088,1.5145346106039925,1.3885412685736755,1.2873642483627294,1.7163247397156611,1.841526856474762,1.4881464341148292,1.5501871808392111,1.093663440304979,0.9611885430795665,1.0351185801105556,0.8690400550621541,0.9335447635564313,0.9123841002643986,0.9986481734705372,0.8472646801824413,0.7699369849293991,0.7823500481127544,0.8013011761725782,0.6438976156490931,0.699620609319883,0.807019929979148,0.7908717754723629,0.7801867391008468,0.8417798684754235,1.1463722638376144,0.9404625513709256,0.8722020301117843,0.7903934137103675,0.7508994688471711,0.7235719209971679,0.9051760651967298,0.793162388229763,0.7524906817838771,0.8670121321436707,0.9198502465224039,0.8537993818642603,0.9190528533247377,1.1710347129475234,1.1590008571998902,1.015954011654516,1.2927046705372143,1.4186586935439187,1.4859177985423755,1.3471111863643679,1.0880296770686877,1.9676501624842662,1.65796235564911,1.1476826205325328,1.0560945915598705,0.8610713109783762,1.1586831757150657,1.4712962044834637,0.9170412035768425,0.8954788674600686,1.132216317683177,1.4995473054330881,0.7247292595912035,0.7291319006748959,0.5604963278791975,0.8431722971430706,0.6962768011550984,0.7933508238398276,0.6164532511115985,0.6156431046331626,0.8401120420592211,0.6355689866251643,0.5430913524086793,0.5141600853033353,0.6932278192002524,0.5955704007600217,0.7118007927314022,1.0830159174010083,1.3315601976833509],[1.9298119892743242,1.3831776428289675,1.0265426093223724,0.5632210670281119,0.5711563372627673,0.6225247914034002,0.6135312996232631,0.6171001020012706,0.6355666728505082,0.6618224204582962,0.6625964887530766,0.7308283154993157,0.7294309256304791,0.7166910657637805,0.8013045713631044,0.7633386679495638,0.8052955966422842,0.8471087416118921,0.9067078621056117,0.9388565954140268,0.9918043000743358,1.0824747295903066,1.161666947686455,1.188513627972811,1.1170155144011318,1.0052732252220795,0.9379509800993524,0.8640785666357229,0.8344051190324313,0.7419903455663689,0.806812998405457,0.7307246271433708,0.7705000131525895,0.778758707321225,0.7545621870741875,0.7937524714224273,0.7597016380388398,0.9116795973542141,0.8696979565692077,0.9713864563342097,1.052023541267511,1.010088156726592,1.0669003447843057,1.3201410566474363,1.7114819139436666,2.295328677601047,2.6393252398041813,1.8619777922250924,1.9815219752996907,2.6464214726372752,2.5196139162561226,3.0909398595769018,2.1591687835371016,2.0649411900067265,1.9185103539725854,1.520354701010169,1.7495758710387572,1.6569175352558643,1.4970600896271034,1.9100600882154177,1.422606697959247,1.1948131545658032,1.0069926068079103,1.010793350665627,1.1284464180248057,1.0183550920207678,1.1001934206563517,0.9353229298128213,1.002806356514457,0.9169082497266646,1.1710445170632842,1.3712936097530604,1.056266490549853,1.2787199469559027,0.9384209196829115,1.1154860884167557,0.9548981298866847,0.8859917712446781,0.9021146801303414,0.9557321032629659,0.7975375136169253,1.158574246422748,0.8836263381590385,0.8902327056224143,0.884296858185661,0.7935388941777278,0.8440968554677748,0.7932732407446266,0.8500433422157094,0.8293833995851653,0.8489352543103335,0.9854171951847869,0.9369829388699852,0.8117607287608716,0.7769643010998804,0.8453235425970932,0.8497482539544284,0.7493963299989779,0.7121265105636855,0.6922716476936169,0.7072245382429551,0.7503743783645435,0.67082605928787,0.6410239447883306,0.9322725465254785,0.7125981102001778,0.6898961792757304,0.7158659820720131,0.6494286242238063,0.6639933974983995,0.6521155735426746,0.623617241634646,0.6164000715779453,0.649618908947158,0.7603198146333394,0.8048187901213157,0.8772375622586863,1.0768667161596637,0.9776274136382437,0.9103670697777099,0.922255274676429,0.8643538558762922,0.8863689604343326,0.705279742386204,0.6564797080754405,0.6623391135388538,0.6761899634785526,0.6931049147185018,0.6170246074277211,0.6855114351701449,0.6440425782385134,0.658782787401015,0.7662103388181022,0.7164933570597571,0.7802787603363759,0.9511454295256199,0.8746211814507956,0.8899146276996464,0.8303131312869683,0.9562755888226312,0.9105893415619465,1.186511038537499,0.9179413462559177,0.8726297226876308,0.8595235844793863,0.8220801186093808,0.8104621523407981,0.7134189590597725,0.6508413172909246,0.6595278159263501,0.6346983704345024,0.6362756511168137,0.7594143567434191,1.069017291399432,0.9074938143977261,0.6485052090873716,0.665409349635328,0.6464739894285203,0.6782518511907417,0.6666392666231076,0.7829489263083366,0.8000603436537697,0.8545738259993026,0.9183608599119423,1.1563736549339452,1.0499525215378211,1.33288673272842,1.8331586219661724,1.6890722984825306,1.5157660314287362,1.1410768133940659,1.095106795904874,0.9546114448721728,0.9101367123981065,0.8324580017759773,0.7708351603321217,0.7281107123035634,0.7572633395391182,0.8585239000401951,0.8214253135117637,1.2248459282686988,0.8039701807719767,0.8818243068962848,0.8841336055468977,0.8813357782252866,0.9955096121979294,1.051789143479253,1.2658224477024398,1.790695795770097,1.4493470278721847,1.629195744498729,1.2231618408143685,1.4430120665203288,1.278558304508257,1.1796168105886697,1.3375281370538417,0.92559892272395,0.8943109802617452,0.9361867730938679,0.8136863843301652,0.8507109528473351,0.699210686297441,0.6585361934804737,0.7312680659046894,0.7266886281710763,0.6978913789346569,0.7364846102902528,0.7724880517980335,0.7398774937919727,0.9120937353198805,0.8961906735401066,0.8761068505608517,1.032887196108938,1.207370451484881,1.1704697680909155,1.1124313119241418,0.9800740034554594,0.9566331965461734,0.8346174083292853,0.870531684850502,1.1063650014827588,1.6406368953124826,1.3234324169497313,1.1485431456314024,1.046147170713542,1.0263055192713375,1.0065792174531423,1.324638174537919,1.2728800985529043,1.1272071480109458,1.2073137817262922,1.4836132757275933,1.3782082846199517,1.2740471555383996,1.6522453343550025,1.786081647094939,1.466150130391463,1.5105698630160362,1.0927698488944932,0.9317290292000341,1.013392263494216,0.8854156103428376,0.9241486211889361,0.9206104883440254,0.9990374660298501,0.8617914061809324,0.8098467274950515,0.7929197425515605,0.8288551493183043,0.6864727078313847,0.7105951737224548,0.7806874716081115,0.772657693833438,0.7826243427413546,0.7968752619505604,1.0451228186319692,0.8946128609292225,0.8425385667190445,0.7875375101533957,0.7892625538502605,0.7814651155582424,0.9727313024850611,0.8423821289305834,0.7964347659635431,0.9171470042778577,0.967679093782083,0.8991897474831912,0.9590446569084724,1.1952742550799549,1.1796156969424576,1.0531528586857957,1.30522382320309,1.4085998413042153,1.4948681763353502,1.386615428895599,1.145366958774944,2.0419974984162974,1.7715841755031512,1.2459760623907483,1.0646893093641427,0.8904769566075303,1.140955216957193,1.5303985528033972,1.0208426520727607,0.9129606191634295,1.052229668407565,1.4951721801975055,0.7592421606162529,0.742424427895634,0.6104766217959584,0.8799160789401164,0.7274849631454232,0.8080009811554039,0.6688587912810137,0.6740471571398937,0.8421444616374598,0.7034193549761998,0.6709279364345241,0.6266531910326808,0.8020623742676732,0.6943122514603226,0.7790157078998274,1.075523669226744,1.4643355776301217],[1.9721548435869336,1.3981898701924034,1.0324021667873824,0.5212323307171287,0.578168707255031,0.587475577360756,0.563365768815713,0.5711324748502921,0.5718676217828788,0.5732492439538311,0.5785160765669013,0.6529845584134809,0.641581898273362,0.6055099020933189,0.7059517426816109,0.6870016823941455,0.7327049755681851,0.7873540919896583,0.8915722127124229,0.8942018983419595,0.9681386428651563,1.0564459761832314,1.171300336834119,1.2191386237447321,1.1182765923437499,0.980547080904714,0.8992246286518651,0.8113884528332245,0.7775189832661314,0.6813422292047584,0.7458584970584253,0.6724075956274502,0.701510826645428,0.7380458254907285,0.6992703093373884,0.743858961052494,0.7226263925537146,0.8879417376616958,0.8456771673227051,0.9801899180581962,0.9994545158978616,0.9853668288769157,1.0805906232958764,1.458302275908405,1.8745897133937892,2.468076927281501,2.9628430683436253,2.124527118229582,2.1857208141263795,2.983108429393727,2.869531928758843,3.344555009701033,2.401116134552676,2.2178541164789256,1.9070998471874552,1.7062020642459717,1.8794793504880933,1.683619673299915,1.4916844286541386,2.1546658420207843,1.5130577558943898,1.2246556519093876,0.9884908364372401,1.0091682164991294,1.1229252890675043,0.9892444403234393,1.048101737110394,0.8946944322775977,0.9899436138028631,0.8820603238551876,1.1487840874173412,1.4112739756752135,1.0523287820809633,1.3287874909617015,0.9091241624155091,1.0880567104075536,0.9368902173102847,0.8727269556240871,0.8915088259527812,0.9501061032124277,0.8048120406358117,1.2168589267890229,0.9033638897647344,0.9660609618367073,0.9268541575770748,0.7860206019105985,0.8236009176382768,0.7818491130786971,0.8155524379929034,0.802982137788083,0.8297585927713439,0.9778767719095088,0.9309868407508719,0.7571506682102114,0.707243569561661,0.783971046650175,0.7692289765620302,0.6808629625314465,0.6409067021106299,0.6386053830140762,0.6557855727093062,0.7277061699562513,0.6640848601483412,0.6486703858446046,0.95538295998107,0.7370033857975705,0.7552000763094778,0.7919792607763255,0.7295609489751204,0.7208982491722589,0.6765174001367772,0.6312468286183748,0.5738893277219247,0.5793742692139665,0.6801975457773621,0.7209596650998741,0.7941919811124896,1.0080833327982723,0.9723949647261336,0.8531601272441967,0.85902011893378,0.7745813675758169,0.7883861225583509,0.6135000735160745,0.5854125160006195,0.5981525555286578,0.6741567037694246,0.7052903444986939,0.6594919676280565,0.7403018342562917,0.7401991393880524,0.7822193147816393,0.8606715987714797,0.7932433296853214,0.8120159982378833,0.9057029469960033,0.8659643784157157,0.7664993035345916,0.7128064614155135,0.9588991134429503,0.923139488939197,1.2457780192673675,0.9259414805959795,0.8375873830323252,0.8268360800995105,0.7685088310975923,0.7409014075804204,0.6507955355005193,0.6093775504655339,0.6081620422570063,0.6095842854728084,0.6028613788965249,0.7593490984501485,1.053833484560284,0.8849222669111526,0.6217100642649708,0.6241192622496102,0.6199166979090758,0.6463194638124953,0.6729199178265334,0.7513053535408079,0.7721255071129726,0.834736727889256,0.9310066927789851,1.250452506337152,1.1181041481377147,1.4199678070716224,1.9723494217277542,1.7117120104811412,1.4468103179324552,1.1288417066101588,1.0570806166104199,0.9550893525197423,0.9209451002695113,0.832927049857944,0.7736567283008493,0.7114936640290629,0.7538005479604307,0.8642540822477324,0.8732559471406073,1.3318091133879808,0.8470058144211682,0.9648421634117519,0.9908393221273436,0.9585518204403293,1.080302906523592,1.1193250258027976,1.427033442008486,1.9257008642585152,1.5908652832771895,1.7826650669286404,1.2938343739524567,1.4932324023580315,1.3070138569718257,1.3617115516339033,1.5448345263700003,1.1096265387207211,1.0586394333462732,1.0821113595324205,0.9323651587880735,1.0030602688229404,0.8359872619872382,0.7720147089865564,0.8575264450836163,0.8656122145464982,0.7837634692656953,0.8304648462629473,0.8887034438545375,0.8436604942971951,0.9910683264822654,1.008083877834256,0.9903354379436714,1.1157252647675209,1.3212771998875614,1.2755548477565846,1.224381961425037,1.1026895883609487,1.0949723195773382,0.975796337002833,1.0126639903153234,1.2995378557278543,1.8133292824093699,1.5070463290663834,1.2710345736642126,1.2250190619339494,1.2572401475165262,1.213292170144503,1.5970928184360944,1.5238438313739988,1.3240411460066102,1.4434354682840695,1.7494788023948356,1.6067980373468702,1.4907269331947606,1.873274162517041,2.042350150276044,1.66290441026759,1.6596496865179793,1.2571078450124569,1.128080231289155,1.2400289009231433,1.0743174894174268,1.1173918657993607,1.106662681244869,1.1332641677908075,1.017769289102892,0.9833704979895925,0.9166122625324448,0.9225030362813861,0.804719967578905,0.8030036900037398,0.8351013272322578,0.8387390708493867,0.881222064839911,0.871921074072295,1.096359758080937,0.9870237743998376,0.9550807610421393,0.9142648964905069,0.9310540551116194,0.9322100534910921,1.1634537639194875,1.0122940928600428,0.9394272164147889,1.0939485703807188,1.145126519964732,1.0480325810719449,1.1096745729265869,1.3824089011070282,1.3205032199627715,1.1582492503006603,1.45748201582923,1.6006491603986428,1.6125507393512284,1.4701733756612174,1.1637964476472629,2.094889151414719,1.7111006265554627,1.3629980145902656,1.2383428001860908,1.0204314809653383,1.2535169629929421,1.6747332710526879,1.1627965896676955,1.0110803532054031,0.9499945788611238,1.5062428894778144,0.8416599709743154,0.8464171490107495,0.6653097121960583,0.933401409310349,0.786629197451975,0.8767316754501664,0.6896249896104619,0.6872123731739321,0.8873721503599944,0.7156900478557032,0.6492600405815516,0.6005980172547603,0.7755454718889405,0.6592844445000945,0.7619370172264643,1.070540540196358,1.4337864151465587],[1.9280831104220568,1.4210647681016375,0.9720147227098872,0.4652868510436605,0.5614298452719761,0.5641332858243224,0.6113798726739533,0.6280198145163403,0.6329441014135053,0.677677622346014,0.6961864714688095,0.7666356598975653,0.8065622751015602,0.7415982818885818,0.8622156806873039,0.8779556759450288,0.9220381692087241,0.9976912526657986,1.1217067232352245,1.1211036135135752,1.177861637746127,1.2422266943443983,1.3583621721772015,1.3966604353235028,1.3131818506338575,1.1910326487368208,1.1331875931760549,1.0500848224769326,0.9992471724255392,0.9028611692647095,0.9796356396624074,0.8786686161860171,0.8976490591266035,0.9807497701005846,0.933227949603825,0.989925266196705,0.9606809421616912,1.1291380475875243,1.1255120285952454,1.2446281065043643,1.2101032657309594,1.2015692180096822,1.31711142533697,1.8621131835049933,2.3174706645828604,2.9676459763928724,3.530281862630985,2.570843802742074,2.600021060968167,3.437770052402124,3.2169479106235954,3.821765590477729,2.8315826837058,2.51631149732933,1.932591374933381,2.0730048160117867,2.199880367007596,1.8170208386503617,1.7014254530751762,2.584627589487463,1.8292406580747345,1.4853836190069447,1.252650406170559,1.2665764810295523,1.362394726296447,1.2205567029931301,1.226939096148175,1.1250400038788917,1.2091907982451162,1.0914792377607565,1.3208839416990146,1.6272659810555257,1.2672868234589374,1.5277544961291951,1.135749573128703,1.3184284133128106,1.20220817868635,1.1557137514133144,1.1655209626163214,1.2273204311295798,1.117779308370683,1.494576404365755,1.1911734983603215,1.2906656731367618,1.2813809436505006,1.0824555605846795,1.106491387213042,1.0587135660418658,1.0862825165410683,1.0683665524714587,1.0929852072369572,1.250397443588771,1.2101765352514784,0.9923599430378867,0.9141931265347746,0.9824057895671159,0.9241485022394192,0.8526834310706455,0.803010222614617,0.7585487477620901,0.847510127470858,0.842533828411907,0.907434956558019,0.8417534659040764,1.1781889953356643,0.9072176680155751,0.9332154299160917,0.964545732056164,0.8680850383745662,0.8836651700950726,0.7682831606706401,0.7932760203349125,0.7042457343087717,0.7614677065992081,0.8426088739942669,0.9008631725259798,0.9724090379382967,1.1514003714570002,1.17879553623908,1.0512477522248211,1.0196908179227337,0.9118463257210107,0.9025192094299143,0.7531738947548418,0.7092886725766029,0.7788451502758238,0.7434677269084108,0.8386862526773047,0.8178436823431313,0.9523768525205678,0.9463680054427428,0.988052633151469,1.1245373094861162,1.0648699536526953,1.0775747004958447,1.110754726286478,1.0470152334366098,0.8919465849311058,0.8487252816323954,1.2988233871654036,1.259495410247683,1.527628723465719,1.2094521180962912,1.09890170049713,1.1050171375503821,1.0234956498323249,0.964357160284495,0.8650535389920107,0.8202225346362345,0.7722986759377176,0.7257215256495168,0.698495835550335,0.8256664574085757,1.0869448688915042,1.0084032825831026,0.7547369873615953,0.7820912619639168,0.7803438572594315,0.8502033466202359,0.8899294366050186,0.9887538661937006,1.0350183689416814,1.1326032311091407,1.2186019947553668,1.568802964913392,1.4622740806995307,1.702294225913042,2.244765470274569,1.8932631088787781,1.6144229628654723,1.366276805283064,1.2810178514008996,1.2322872020169684,1.1986823352858937,1.1073461603122925,1.0287379756860997,0.9423482153956024,0.9932781506462884,1.1267236100089384,1.1530900210465602,1.6673738875270023,1.098693610707994,1.2740670108156273,1.3082132130429334,1.2938533185957553,1.442527006174904,1.472192930492049,1.7926752868758182,2.27990941230192,1.9369711735671242,2.0918593794112423,1.5779937502275492,1.7129068807882415,1.503904265772093,1.6519534490828018,1.823719911986801,1.3416571062593576,1.2510245001175941,1.2022708112690421,1.060228991696134,1.07837137967251,0.9014581412895997,0.8212671524545017,0.8682086694691977,0.8592819985732812,0.749696665132796,0.7711158672245607,0.8267700830573503,0.7775716398396358,0.9230774519479895,0.9242985875675144,0.912397751915189,1.0634570993407932,1.2467961777198058,1.215179942287007,1.14698667011472,1.039430408493739,1.0323235112560132,0.9096894360677743,0.948767802283354,1.251863430657048,1.765120309610831,1.506564920103504,1.2319984474483003,1.219362811596044,1.2897518463809183,1.2647379692838612,1.695105588446047,1.5799334066051307,1.3683639255043716,1.5417529744689078,1.8474393253329535,1.6664756121453277,1.57906533868675,2.012679313554483,2.1205174918321736,1.7360139740181324,1.7625839306348312,1.3362947017000928,1.2952699111746488,1.3831774306287026,1.158942794116,1.2445709837371692,1.211144774601376,1.246453386693108,1.113190884894991,1.0314864129415913,0.9852203850072055,0.9575809493077019,0.8010798921134592,0.7831852687706271,0.8200324291690685,0.7962285702558024,0.8247227391862982,0.8120825058203245,1.0585260538633405,0.9170921281009226,0.879832190378692,0.8428681748516982,0.8814049073616292,0.917605339929484,1.172536301596516,0.9685268322961613,0.8942831128208546,1.0996855099112162,1.1348028482287658,1.016726836372552,1.1103148789550463,1.4061756998726864,1.326540481893544,1.1555975499112159,1.4765276235370817,1.6273976865627147,1.6307850430866992,1.4788169343791686,1.1552245053001604,2.093720968698868,1.6892428659473362,1.3053088863195974,1.1457754390394506,0.9294598301071174,1.158621406004279,1.5477305370244152,1.0287407885532043,0.9463792439019937,1.0045763697865384,1.537259756415494,0.8071668154066911,0.9252556122097447,0.7375674866759124,0.8893559356274783,0.7940065283409087,0.8550847036206342,0.6989131318002816,0.6932519012772499,0.8597574421875881,0.6867404222056039,0.6341993713168527,0.5366107586944896,0.7105344366108286,0.6227328570631239,0.7201652443542654,1.1193635200694156,1.4020566143381248],[1.937664421319698,1.4315018992269963,1.1144463999984473,0.6547578626169738,0.7104658492539706,0.7283574182910066,0.7326107441467143,0.7401017336046486,0.6984206573265921,0.6802251699520266,0.6811825022574542,0.7822382588461709,0.761497120313873,0.6800278863308902,0.7904270219530498,0.7893117069973566,0.8100543957759303,0.8513412325785465,0.9247890518605136,0.9302619364570185,0.9824389317771568,1.0599422768758833,1.1553746832762932,1.1846750910343753,1.1092094473478238,0.9855782295143714,0.9297241018176241,0.8689038088083075,0.8572265507746311,0.7937727362445006,0.8379021398241252,0.7907860214989509,0.8101690252016548,0.8425203901132079,0.7990827926247451,0.8300705846474152,0.8430776783869585,0.9694333839883618,0.9256876477652679,1.0442620881391993,1.017282576774473,1.005719084979241,1.094610991105908,1.5071678687361025,1.905984315072422,2.542388645302601,2.981835868590211,2.1374489552935274,2.2412018702098977,2.996243924358389,2.817703198116378,3.4793016313883878,2.4865955416354426,2.276203621373021,1.8769267392815365,1.7466729687579146,1.9203116800001472,1.690467786019901,1.5137709495111702,2.1957376416986407,1.5366156051894986,1.2479046872982615,1.0312904637535931,1.0259953667385215,1.130478740181447,1.0134972558121234,1.0671695030915276,0.9389417997408658,1.015717694509219,0.9283923942214898,1.1835893339123553,1.4372759597825442,1.0799944687780054,1.3526511576624132,0.9517414250096256,1.1165774988208386,0.9938730669454411,0.9480437933363081,0.9658616084857089,1.019316037628368,0.9223850404998253,1.3159831487462725,1.044827547483053,1.1151025579364071,1.079336850786963,0.9177683896279379,0.9103017670367534,0.898809673409726,0.893468107105468,0.8974670898862417,0.9123892838792873,1.0488895966508305,1.0242560044769302,0.8569650219836207,0.8054221436574911,0.8778652982276536,0.8478408947214559,0.7988666285947819,0.7835926191664848,0.7859037729374615,0.8257104727202212,0.8815363774429681,0.8743495345912439,0.8744844804322829,1.1831682707502407,0.9572855610676904,1.005560307305866,1.03931535279399,0.9917008804587912,0.9953127178649314,0.9061455847388986,0.8617066594789915,0.7743311751069609,0.7578942217386004,0.7915368626675295,0.804163229024505,0.8449510051392315,1.0246394744119094,0.9972598082576951,0.9004196181857603,0.893266894286862,0.8188482789683574,0.8106464348916314,0.6828957888511441,0.7081055743059517,0.8015575135835381,0.8868842706535515,0.9322174790345192,0.9289873164641376,0.9997918601839193,1.0262993446571584,1.0400989592936023,1.1098191957953876,1.0495760008805344,1.0541277967516614,1.0978071361633965,1.092269659082293,0.8710581734518471,0.7743098407964837,1.1210036264587258,0.9580136231404877,1.2377276861192328,0.9593280941145362,0.9048062323831925,0.9027187140815289,0.8664397658436889,0.8420025250723149,0.7961958339675751,0.8059165625272472,0.8027032257880347,0.815776936044273,0.7914793237922951,0.9255901786438262,1.1832516275918556,1.0450381891293368,0.8100285456852246,0.8159164413314617,0.8361132528683308,0.8362197086239642,0.9096600419447164,0.9374679578143694,0.9176022982239893,0.9705123865358469,1.0468336985373063,1.3648577866942355,1.237644476470973,1.5140463353474696,1.9937075897391558,1.7645909560922872,1.5431208073610878,1.2833819116899214,1.1893324557167557,1.118789302084534,1.0942932821650104,1.0070348472863242,0.9677487210419895,0.872139491822904,0.9249519520770271,1.0157798439955874,1.0574719068900371,1.535222616750782,1.0557145968812693,1.1794660349308295,1.1721397126725843,1.1442898464734697,1.2165148815783284,1.2272772736433017,1.4805847668251937,1.9727195415466192,1.6368955853888822,1.8138811084505928,1.3726043389990517,1.5702100078362164,1.4200819089701064,1.5406826173449735,1.7603879816386236,1.3530541795442048,1.3094473358120347,1.3039916023046387,1.1925157564470188,1.2052383878910649,1.0633864071584067,1.0004944263265374,1.0332057593138857,1.0248394098045464,0.9209883344507465,0.9133953628978001,0.9724335486055945,0.9223544130667541,0.990834983801072,0.9805955524943429,0.9690224767139414,1.0695644547500285,1.2131693608719256,1.2018478875567045,1.1696911442474667,1.0511888725379224,1.069189409721743,1.0037107924917448,1.0361813257788575,1.311198458800518,1.766131416178527,1.564187235086425,1.2366879416830223,1.252555215739115,1.3294403376973836,1.3190220768086895,1.6915443262563163,1.5671806010174723,1.4036560912646436,1.5541008123292444,1.8098054786192939,1.6449274551068416,1.57900561919003,1.9722901106995918,2.0049568740096375,1.7173673518711965,1.7446209614546482,1.4088040467902494,1.3625350840202521,1.4263671861481655,1.2520008028593297,1.3467914366606344,1.3398629298622375,1.3595762335858566,1.2401460886918294,1.1878982049278182,1.1533358050087612,1.1036545424348263,0.98175696779963,0.9602005662255932,0.9691922846955007,0.941217300485367,0.9810268264335067,0.9361638079606351,1.097582063497714,1.0072676766803117,0.9846633716216151,0.9650770655136944,1.0246027126912456,1.0721037418357353,1.3000227833299078,1.0850571278595653,1.033847468892105,1.2124361832013633,1.217706713490993,1.1175994094700037,1.2109771610637523,1.4266717230263184,1.3366987452716677,1.2397390317439436,1.4954493012680152,1.580495027720535,1.6021311100019067,1.509114384262376,1.29359720296707,2.144903933241349,1.8417048756608922,1.362592246440027,1.1287825937864477,1.0090899639949653,1.15583354078258,1.5140896748857473,1.1072399442624363,1.024051197469705,1.1640850747463447,1.6049035567076106,0.9363344351518182,1.0803347306648508,0.8991784351840892,0.9861768935293674,0.9411572589510139,0.9874985461470692,0.8707090719267929,0.8592541118029501,0.9731582306574736,0.8526164901061579,0.8058791916264203,0.7422434787683148,0.8601850761116414,0.7875865952215692,0.833898338835832,1.2119756992913948,1.5558760370101956],[1.9363399146507059,1.394734363326588,1.2171757002103705,0.6914739880419397,0.7528701166924817,0.7712257719298187,0.7338995707881906,0.7462076979179492,0.6949737527488303,0.6703387503382551,0.6716815643448655,0.7696001023297974,0.7380972304190322,0.6753623335151955,0.7849346663076942,0.7656838306491517,0.7968278417897565,0.8548629942660141,0.9517423501872128,0.9544535091391131,1.0416937719936097,1.1252797124503178,1.231738110778853,1.2805353470342693,1.1806558596182855,1.042820147297721,0.9485448701733491,0.8619921727665241,0.8475207198971215,0.766118195957023,0.8152151916386032,0.7648473293720981,0.7964128126383484,0.8289136951046159,0.783602105554973,0.8214013709362883,0.8166262495622617,0.9597637389341359,0.9083902851010603,1.041741756454385,1.0344801325862694,1.0360225541542079,1.1281027680053273,1.4722027943231073,1.8239475645178895,2.3833255983159924,2.8623906015500697,2.1260716427837885,2.1911691969363116,2.9836740468683396,2.9152537844569726,3.382504387997846,2.457047026965124,2.283495357090991,1.9555808630685831,1.7721008613437061,1.9085706700614808,1.7504847840553655,1.5549999539201196,2.174520454044226,1.5468068072414785,1.2844614367672285,1.045159431702542,1.0662250455374425,1.1944617908731407,1.0530658945150173,1.1146193372061062,0.95678811492884,1.0298376963883307,0.9351031268760102,1.1958622846540587,1.4384574893972732,1.0801043298937798,1.379923748335311,0.9547446577253764,1.1073623804060204,1.0056293553811972,0.9449053004438901,0.962349066915658,1.021259547234296,0.8869273506005408,1.289399320184152,0.9825789877109706,1.0567517672109625,1.002031690024706,0.8712225884642417,0.8877333382531829,0.8753404964143121,0.8900120258388179,0.8862980989626367,0.9020873309251706,1.0313684049599363,0.9932439286221522,0.8352020152929018,0.7884054612268757,0.8585325512166766,0.8392420447854804,0.787407973134321,0.765926726590836,0.7696814305352653,0.7971803763400896,0.8605742409845608,0.8247326359515096,0.829302612538384,1.148511574157208,0.9319152634565177,1.0012990219608509,1.042974927953345,1.0218105665636594,0.9875342560935139,0.9155106710976862,0.8312518971338301,0.7457838459496856,0.7035578440077994,0.7585940850651922,0.7778691210010756,0.8439338275372564,1.0450456346656796,1.0390646815001894,0.9156390668505611,0.9076294952707383,0.8194123894173545,0.8142933800244262,0.6620154205322601,0.6644724886281206,0.7198522163469188,0.8851967702695732,0.9115567724236028,0.9187066850170099,0.9791165642062121,1.027177942468643,1.0596193212482095,1.0857283503244277,1.020047814231453,1.001154402521225,1.0213330030550254,1.0571239117564653,0.7844400995117894,0.7082344112097358,0.9747667453106941,0.9226455907049629,1.2602161821410816,0.9709353818715352,0.8776509034900802,0.8758692706289543,0.8242498876954274,0.7956814649611752,0.745169110425254,0.7509785445984973,0.7557473466781252,0.797038774868108,0.7803901810308617,0.9231787681972381,1.2088499048459387,0.9965849114287577,0.7849924562250976,0.7898535756260181,0.8028730033068654,0.7926703693154677,0.864664197879792,0.872031081067902,0.8713328887400228,0.9024471787680827,1.020771056086439,1.355111683147492,1.1521827476040016,1.4962614985887313,1.9937181135438946,1.7472698031990597,1.4427897435313137,1.2008352760120167,1.1040663807756264,1.0548011059209061,1.0389339487586968,0.9614071724475405,0.9307158402929615,0.8351139461235604,0.9072413401636665,0.9804342454140318,1.0380890247088648,1.4807110521930553,1.0225383389944973,1.1487258007144958,1.1436968075183154,1.1013134682226684,1.1778654874680698,1.1970251835795822,1.4730975532102424,1.9205652172462622,1.6272106889813238,1.812152273650676,1.3537308385040576,1.5477490840313228,1.3841716714726573,1.5550772295465483,1.8026529787500238,1.403210217744942,1.3725676494195902,1.3998762522547772,1.25746068511739,1.3272771026310002,1.1684628691490977,1.0807712819583066,1.1584832888927532,1.1670031550365088,1.0208460543819105,1.0226854327646349,1.0997953031590018,1.0420741344141236,1.0570561256411262,1.0762649915201952,1.06856980633466,1.1122409938532591,1.275123896960961,1.2716227749645623,1.2674554628777783,1.1599537523726637,1.2391704600699773,1.171733270827677,1.2080900566734234,1.536785948625829,1.925754806822911,1.7692024094831351,1.4034567774365343,1.4214862086322038,1.5248590616821895,1.496387529651234,1.884755592744229,1.760914715473821,1.5735140077795169,1.717161580618175,1.9707068658696385,1.8044939410971996,1.7311116070652768,2.097767488965986,2.1585854719567994,1.8611221240455247,1.8480813213474863,1.533451522776081,1.4659002409062762,1.5571170303792112,1.3880705084417373,1.4616857583525293,1.4676996126651842,1.4450078943559805,1.3475563480120505,1.3312736576116104,1.2463264446655005,1.1842657177341795,1.101803015913841,1.0649172520696732,1.0352706479884362,1.0253338913399734,1.1053647547322518,1.0313962449830825,1.1407615492785577,1.1019871788061848,1.1075923155338263,1.1135351497011767,1.1920967908758515,1.2358234948744344,1.4872818924749127,1.27372445366639,1.19536643240673,1.3852590065611248,1.404634514211917,1.2929115109085916,1.3721277368608613,1.6075898274063711,1.5056953194518732,1.3841649656544472,1.6439976671532401,1.7450830694159825,1.744016853677465,1.6471762982478215,1.4224433843844277,2.265353417458187,1.9250467191732068,1.5604737286483081,1.2681330703330698,1.1504474888272525,1.2353930091549659,1.6178354282945746,1.2614883325443627,1.152871024924284,1.1671168853103955,1.6698793718450127,1.0159148945935021,1.1506717067150805,0.930195925971184,1.0361923059767326,0.9893349187725722,1.0489980076244885,0.9328933369305556,0.9028337910882404,1.0327602472126338,0.9111580358437342,0.8537614903717573,0.8174269439155681,0.9214131147614907,0.8347969259704932,0.8774737438498807,1.2279865667768286,1.6789340157631594],[1.926743476719675,1.386306160845547,1.192983868811225,0.6450332920806587,0.7426526874947774,0.7525752894658186,0.7591438183960187,0.7848170695932106,0.7307341049042975,0.731395753036799,0.7405562696029909,0.8402552010481885,0.8412228903440203,0.7473638350015236,0.8755560294510698,0.8894234833876253,0.9149396087956202,0.9782058888871863,1.0852002948603836,1.0889786831546238,1.1732989253483062,1.2438452478007447,1.365248177132563,1.4098525305954608,1.2984168430789227,1.1640351434233587,1.0832323944664202,0.9991945073703986,0.9814047723760346,0.915486671647929,0.9599712754360621,0.9047513805701869,0.9248642891550202,0.9833975562899365,0.9417830152744311,0.9826532451070483,0.983560550793055,1.1254531095129106,1.0896926338038508,1.2241028610444373,1.1546052623594585,1.1767784108886614,1.2972848605213054,1.7645837973366412,2.114848705732868,2.6837516447744774,3.283667784883142,2.497461816865017,2.519340492785171,3.391457843074534,3.308209643906374,3.723757731983704,2.791401799431335,2.5340832882236244,2.0119297071341373,2.0737496750635698,2.155149446726476,1.8793070058541892,1.7269768244226682,2.483980154317381,1.7563915130886891,1.4617892615332266,1.22892083052081,1.228778632343567,1.3439838377885844,1.2065712572350202,1.2245845302094398,1.0927445163415783,1.1630046523414022,1.0618717692203556,1.326384593235949,1.6202389976196676,1.2253950336239883,1.5170188968949945,1.1082698077280972,1.2589846566804623,1.17770683939552,1.1293547376248878,1.1470926437654978,1.2218199156308716,1.1071690423781844,1.4935565026306528,1.1927864748906047,1.308392647166972,1.253196798498221,1.0843464861011767,1.0814711616701604,1.0595119335586818,1.068128449980174,1.0563596722735757,1.076787312179745,1.2118345931416274,1.173670662037216,0.9857977656123571,0.9182047332007099,0.9805957872496225,0.9322565743998775,0.8948984439324161,0.8704666463411587,0.8546029224817969,0.9263236388576761,0.9706872252424654,1.0024248721654718,0.9933575928499628,1.3470490263968085,1.090932728560497,1.1808374118726213,1.2308511349862412,1.1666828220507353,1.1250946773511155,1.005607506247779,0.9576658270833956,0.8349164283674824,0.8213885238740583,0.8612714814215136,0.8795036536831826,0.9395739212778186,1.0790145650183696,1.1498224973606572,1.0246480266263847,0.9941060230934501,0.898730043170798,0.8638975092544623,0.733340748781059,0.7368293390882601,0.8300285133802582,0.940598019652618,1.0162944651645764,1.0524818825002935,1.1665093744726827,1.2184679785641384,1.2839775960943456,1.3494488865772005,1.2722265501136458,1.2437195405093393,1.1881907140341192,1.2304969026963195,0.8968074355772543,0.7693952735333348,1.1626923240376017,1.0377769605779703,1.3891174266723219,1.1190957763442753,1.0286877297289343,1.0439572615305905,0.9863396465266324,0.9392757658577688,0.896993000040004,0.9033435362326706,0.8653966454302111,0.8898760449683122,0.8469645112745173,0.9864069606990336,1.2310332704338458,1.071751639591699,0.880771247026698,0.898984136830023,0.9263279792312543,0.9354982024994336,1.030803876609997,1.0484071874809278,1.0604356712365135,1.0989590280119725,1.2310583017575805,1.6237024827471318,1.3863111095883345,1.7566688572997056,2.2541723019222926,1.933468333321005,1.5410549711401869,1.4051087298434533,1.2594875592766959,1.273782640096816,1.252467243083923,1.1711637351256352,1.139206837546353,1.0135297214930339,1.105338385019029,1.188722069957073,1.2748891940249725,1.721670078396931,1.2401552052314402,1.4268002802447655,1.4398731614997187,1.3982134927618852,1.4710070559744381,1.4577998774513674,1.792852540872035,2.190135417714385,1.9336999540118815,2.107853994869978,1.6247665027170175,1.7765144612162234,1.6101315742369091,1.8744247428376117,2.093564959351424,1.6535241116308363,1.5828399705113565,1.5455041428983576,1.3886215840555534,1.4611944514182023,1.2893659671419169,1.1714097708377953,1.2331135185265305,1.2540783525160335,1.0688642865543598,1.0411164736458192,1.1340891256973287,1.0854585534247128,1.0580813136373235,1.0767243634121615,1.0752699953310219,1.109447223118718,1.2702849620074084,1.2638314424038481,1.2618940221718493,1.168644892364194,1.269801757521239,1.2122353844897715,1.261510398966262,1.6515900090219466,2.00388665911792,1.9127578621670702,1.5283741237448283,1.5702563092067758,1.7212968997205265,1.6920590863718543,2.1299810940380923,1.9732631087520447,1.7447632566343638,1.9350373968026169,2.2026193968492302,1.9989356036051062,1.927492643226157,2.3201701017339733,2.3788782173306333,2.0325430742333306,2.0263654632441797,1.677376813383572,1.671719942121555,1.7775843574021883,1.5663160071047055,1.6581053245105468,1.6610299093840937,1.6129699736755228,1.5100678664499099,1.477278122566564,1.382494539356545,1.2896099245890076,1.197761682798286,1.1467734991982905,1.0889664332451787,1.0650717585533322,1.1674640605646607,1.072958985863091,1.1508342445754063,1.1246551995615728,1.149539542340552,1.1675195140504153,1.282306561568807,1.348027948300664,1.6291411570882814,1.3758770155401931,1.2717368174689796,1.511341094473187,1.5246966075826074,1.379506926186578,1.471477300053866,1.754090661271413,1.6166603521016571,1.4533533722846808,1.7590085899689432,1.8981046527299086,1.8467097906394638,1.7206606233779598,1.4438405509758152,2.303038038402133,1.8925375256738362,1.5909938412819704,1.271829299799863,1.1519945565103424,1.2263734158777329,1.6112589453980164,1.237494428152688,1.1388449041940831,1.1302640876047445,1.6948251981657143,1.0432367283724608,1.2381971615878393,1.00511207439064,1.053206970718635,1.023554495069447,1.0649485555276446,0.9561917773228114,0.9118709562216982,1.0215696291598086,0.9002474835943975,0.8469390347187377,0.7732977002959938,0.8845752969819649,0.8052081898880461,0.8580523044915107,1.2279260473408964,1.6548181867665301],[1.9327548638258583,1.4390222101519805,1.1946213420822354,0.7349815377585067,0.8304953950960701,0.8396199461065924,0.8822756195450085,0.908671383552434,0.8558287534599063,0.8526207817164511,0.8602812565386754,0.9613981359259254,0.9713498329393706,0.8551718175721358,0.9816722765301618,1.0083975015860958,1.0173800379103535,1.0546703885901285,1.1264878001967853,1.1382545414590421,1.1887553176312955,1.2486777836412073,1.3381948824469878,1.3641955177022722,1.2860836871171404,1.1790901947937216,1.1341961776682998,1.083536308205177,1.073113201951863,1.037693739895205,1.0604719022176035,1.03395084037895,1.0450881902286626,1.089606939246974,1.0505685871101664,1.0780656992394244,1.1058000174446454,1.2089394455305331,1.181593460317556,1.2887429467885836,1.1994390294124049,1.2069551153809621,1.3075298677627687,1.8128303128086583,2.169914436000785,2.8088283659849504,3.332889342412976,2.496085632121281,2.573223666508994,3.383793692324496,3.2062466870630084,3.8376742603175624,2.8488165825955085,2.5693017974661343,1.995715006008067,2.0766855627451513,2.167165922137245,1.8732689285818551,1.7343943302983145,2.505482845895458,1.769844865689839,1.4750298171639709,1.2649316205734233,1.2393445334905642,1.3426112886677386,1.234596985921446,1.2459051458016308,1.1422714175252282,1.1967181453174887,1.11571299356112,1.3649979158366552,1.6462202491019227,1.2639032269419297,1.5318275632987721,1.1606963058924873,1.3012977252340694,1.2232156839300867,1.19255082657078,1.215774283720649,1.277931837555331,1.2160396024203615,1.5831373716397354,1.3236870452274603,1.4583944626768206,1.3970102298892302,1.2141024926614603,1.177160123062851,1.172448351853428,1.1457642656122013,1.1459351995052485,1.157000794689082,1.2782382380704387,1.2653358349995418,1.0918259638531422,1.0275445327028148,1.08573470044449,1.0297794804745783,1.0128496666606581,1.0030529800171728,0.9945502168546939,1.0667104250184496,1.1153107128779387,1.163797771144479,1.1668561698549802,1.4964765926890782,1.2489529402349189,1.3333233370167332,1.375759181173374,1.2921046835458563,1.2827874388617833,1.137281241555647,1.1195866252138897,0.9878761924696183,0.9852516088143037,0.9842374428943593,0.9878288396272542,1.0242218763734336,1.1239054159938524,1.1866378413615277,1.086634571169236,1.0550415486479026,0.9801547779820428,0.9302056516932338,0.8380769812807591,0.8723245496186922,1.0094019789521085,1.075761541968192,1.1589792274465343,1.211198641166203,1.3253714874330582,1.3664014077383024,1.413121179241667,1.4973621454311783,1.423904480359275,1.417235300891913,1.3621164503573238,1.4000257577652013,1.079793114094215,0.8949317690856048,1.3664564295776171,1.1379888209543565,1.4257486738972005,1.1800558700504387,1.1366087859552276,1.1518644229287012,1.1116926839891252,1.0739666848648974,1.0479410961972695,1.0702099012242725,1.019714998609302,1.0397922431752646,0.9840725027692482,1.1136369773919963,1.3129675228054725,1.2055247641960436,1.031964864538957,1.0502997149231557,1.0881595239903088,1.0947763056850985,1.196254816731313,1.2097907690180112,1.201013641154659,1.2537615943268285,1.340060124224044,1.717630729049136,1.5549454887204897,1.8455754788575451,2.297798595459806,2.0193055298099636,1.7322559773229174,1.5898696613513508,1.4334542634646972,1.438333926835466,1.401576400670205,1.3148469142289838,1.2843351095782216,1.157907523692195,1.2346689520351701,1.3130238272921568,1.4006784473888878,1.8555398212200704,1.387089291403528,1.5577936969326158,1.5617996294797196,1.5287003335368199,1.5714290149227932,1.540912542625687,1.8208247374542719,2.2297708117835895,1.9654765450618217,2.122936177796413,1.6958302774582876,1.8492534775895604,1.7186213757571198,1.946947431109543,2.1450668633516203,1.734708856435535,1.6679606414179384,1.596446561757378,1.4796329564276862,1.5004528087257876,1.351654205323382,1.2463123983040925,1.2608642654807263,1.2720354052603002,1.107750169449342,1.0472105225445156,1.1325623106755043,1.091731048296592,1.0537826288178225,1.0467255502276542,1.0482828163833409,1.0940199769537866,1.2082812495409212,1.2239996075490065,1.217164778873232,1.1230703136256899,1.1864236607739274,1.1575064509091975,1.1981634830886922,1.5367014271040618,1.9433071116374177,1.8422205066703083,1.4492407701285928,1.5176577355314427,1.6615034927047425,1.6581834384615834,2.0667386585762553,1.8923185941986553,1.7050893942649954,1.8951641406875341,2.1282582885071633,1.9232869912219357,1.8851933944772068,2.291676400788536,2.258837625315631,1.9580823836994439,2.0084693101801023,1.6839825097126977,1.727619627281324,1.7963717360386382,1.5895832712053621,1.7098715574950192,1.7160511367756088,1.6854562923286165,1.5717421129779696,1.5133153891328734,1.4529532296982868,1.3500299348680398,1.237206005979279,1.1898886672976965,1.1464692685498996,1.1001558219595329,1.1772738895319403,1.088585173235074,1.1773212342284656,1.1157090429156762,1.1346322040518677,1.1474639653812506,1.2629067447364752,1.344544373284496,1.6001608769441071,1.3286111097303284,1.2511494803880223,1.4839537918025978,1.470047008824506,1.332140878704238,1.443931274152814,1.6906675951938863,1.5414959728172017,1.4220652797377522,1.702781254823453,1.800260228722908,1.763052318304255,1.6600260689742399,1.4286093284475188,2.2467657229113973,1.9050824467726974,1.4869298603173404,1.1731046682410307,1.1015813409500135,1.1787771318942513,1.5139880508221044,1.1643165971829765,1.0898605214807748,1.2123161254219241,1.6974545397815164,1.0888369429899367,1.3144572010478204,1.1180121376792376,1.0840859375640708,1.1031712399595306,1.114666825497445,1.0363092541683299,0.9994999749797734,1.0568502281977623,0.9766689944216229,0.9368698880480745,0.8602447042411739,0.9423847242304,0.8919377696405908,0.9261259993473538,1.3237874977765174,1.6975699129467499],[1.915812425139127,1.4211432646466176,1.3508157815033155,0.8733891033302357,0.9591363386322936,0.9950441058563748,0.9737331016044474,0.9857499990583924,0.9330977333625321,0.9088783673292908,0.9172847167954291,1.019214830525747,0.9809232173472089,0.9146937737182326,1.0193298247863944,0.9957224749324708,1.000867298938926,1.0496288084191048,1.1516455217295982,1.117188994578739,1.2098252181751592,1.2389327077989327,1.368766760819835,1.4193111841914912,1.32143973767428,1.2080540792460144,1.0962357304573915,1.0266917483866447,1.025168318477152,0.9708163269240743,1.0198964816078053,0.9744256556891127,0.9992728291983903,1.02859519841875,0.9774010200912568,1.003556868809663,1.0020859904944477,1.1004591517325901,1.0408524191474955,1.1265703606351198,1.11231930152409,1.1402009580574919,1.2249867313135194,1.5373109089350794,1.8478633755845195,2.380962746569431,2.8114004578759317,2.1457862641536956,2.2346960929248243,2.981748313209709,2.9252437421566984,3.4568230488439977,2.5243434766864814,2.3601023404981025,1.9950544857004233,1.8409353221432818,1.9700797222462771,1.8143235535876312,1.627478209210455,2.216556525269467,1.6350526385605326,1.4068211761840133,1.2024759647408558,1.18512314317078,1.3173935144296287,1.2017597020351318,1.267900741148561,1.1273619215655672,1.1917297125501454,1.1213499772373587,1.3397679422832067,1.5460828633165409,1.2322540520238017,1.517311123895975,1.1363522986323622,1.2520570903102755,1.1680503167287746,1.105969218809807,1.1094975544560002,1.1536585580441037,1.0331742648655746,1.3996386102727627,1.1158502813165065,1.1811452899308585,1.132038628367702,1.02082188106702,1.018043431872547,1.0349423754602787,1.048976254465403,1.04463564232774,1.0817431945547182,1.2176226809402488,1.1731558062386995,1.044747039682573,1.007879828396262,1.0720121031066876,1.0615064025828993,1.013567275645781,1.0103503152907083,1.0111604654864843,1.0327119539494847,1.0805266029293945,1.0645291406732043,1.0846583622057078,1.3766277224711732,1.171657871588442,1.2624647329196357,1.3153578248375923,1.3115221595439097,1.2722928514206333,1.1778194803221904,1.0873057195014297,1.00095197603704,0.9425929506068154,0.9767267568070315,0.9777061517093668,1.024311662915319,1.232376401414167,1.2342330447990633,1.1006960710808529,1.1002292814360184,1.0101555203970234,0.976550761600191,0.8807992250946086,0.9127743263028892,0.9713327458173827,1.148266646114831,1.1691897618948177,1.2151959375593486,1.242004585432555,1.3387299140477074,1.3530404505662699,1.3511885728931434,1.2660604749067077,1.2513954773178988,1.22226814083413,1.373728493039571,0.9456350046399655,0.8126948973435479,1.1006954431141576,1.105505073219505,1.3591768791005652,1.1194514002205063,1.0254948637795487,0.9995891895474199,0.977840162796616,0.9605975582775328,0.964482273517712,0.9981130931657909,1.0047741054957096,1.0517900447598534,1.030434102138929,1.1399570932340535,1.4106762447257546,1.2109602653379743,1.0358670427164496,1.0550243709407725,1.062080746933611,1.0334258076205325,1.1219178626613326,1.0740422258541302,1.0543907826093475,1.0489230350007333,1.1543743562885525,1.4732211840288676,1.2177691094000538,1.5621092670809047,1.9639971527789446,1.7730284053400027,1.4886755107052645,1.349871405882755,1.212717663081116,1.2059037284821919,1.1978168525273565,1.1340378764092676,1.1325694676170834,1.037481796494046,1.0987196295329003,1.136557736604454,1.2177978416556052,1.6315860551482984,1.2253842554152459,1.3359452590069762,1.29316127461081,1.2478397958044434,1.268931311686316,1.2925023057109266,1.5105074057860157,1.9388528125319193,1.625490720885115,1.7899972509809758,1.3967029560441213,1.6110382269481498,1.4982962810591627,1.6950265742667463,1.952792318111161,1.6728935919142425,1.6632107861982757,1.6687278959067873,1.5470580024762732,1.604015183265025,1.4588280262779851,1.3553405517739252,1.407458245275712,1.4285745311168099,1.2559128854108592,1.2086734299130388,1.3015208521770016,1.2607731014299164,1.1775972558059544,1.1962923051857348,1.2077402954700618,1.1944749656774336,1.2939618887685307,1.3288292788520633,1.3410795413211603,1.2896918821814656,1.3739473417353834,1.3553227978017692,1.3951588882771264,1.6903044333399362,2.1045647146626605,1.9524957865915336,1.595244302579095,1.6228997945300698,1.7468071168992256,1.7383459440898263,2.1042471327767176,1.9580338603068759,1.8078630962853555,1.9189484188972705,2.1177078087593024,1.9635895883887189,1.9253338909833895,2.28660614514099,2.2226275281022705,1.9766532450921415,2.0116935571901666,1.75912484715213,1.7549008782239814,1.8257209528385865,1.6695082830116872,1.7607434360772014,1.7978573008370782,1.74135618961596,1.651300952138161,1.6384550796366388,1.5536098259469602,1.4523535605922306,1.3827088542952872,1.3364768046474285,1.2775606052685793,1.2483223876010072,1.3444402164024203,1.2472728948066896,1.2909537731088787,1.268459922507296,1.3081141942201298,1.3338576756686789,1.4368994221960394,1.5009319482066537,1.72314646243732,1.5101530331075614,1.427733838687689,1.6292885999915832,1.6268794771151418,1.50980138981422,1.5948138161257939,1.8014334375205907,1.6700685991758617,1.5798409753513944,1.792569641115618,1.8608791780459708,1.8546403312271509,1.7738391810604557,1.6112661795029646,2.3412931075051255,2.048166675345289,1.6645391529582927,1.2972672674066092,1.2798668265217235,1.281155456725424,1.5600153748763868,1.323814557558445,1.2459179950171302,1.3474909486324813,1.8009205787268845,1.2352367905116728,1.4183711473442202,1.2000198799841955,1.1644381221895277,1.1999257552292315,1.2243243435233737,1.157591335164302,1.1128463108674158,1.1735281905909953,1.1089262047678137,1.0760727141005102,1.0496071722687095,1.083972622456006,1.0378873979298309,1.066927175897583,1.395050533018173,1.87543996696096],[2.0343546240158905,1.521618614959676,1.484025485125606,0.9318076113247442,1.0519237772673873,1.0401943343678342,0.9698240963605945,1.0010301905145464,0.8755295357660609,0.8137086157992992,0.8108649842124243,0.9452227888381243,0.8940192487721318,0.7923784488070618,0.907531127535616,0.9006924441535258,0.9024444127369646,0.9700521943356456,1.099954092874873,1.098904866445584,1.23601477045259,1.3183586890340542,1.4604126367046621,1.5408890441264762,1.381530161441879,1.2324105477589606,1.0944073799444944,0.9712230584865915,0.9654279220823044,0.91744370928357,0.9401293640151049,0.9208114358550042,0.940735720636795,0.9814286522042919,0.9422867890355016,0.9715703107817624,0.9842535261588167,1.092978635082111,1.042201609607759,1.1855169070658795,1.1517115024614166,1.1976679372445929,1.2890524397339433,1.593618189375308,1.862906830871944,2.3125028922326285,2.8617251192769344,2.2812468968073194,2.2997221515023525,3.1480287184239657,3.2057574148655057,3.457385397301814,2.621302519548901,2.447760220600724,2.106780312765611,1.9652522055204926,2.0160647601273545,1.916691174648988,1.7103898624224894,2.2966203798166367,1.6805324592459474,1.4529415233859293,1.2203059643316614,1.2684761939855191,1.404616184264999,1.2215479388304131,1.2711793693937254,1.094913934349987,1.1553707913138511,1.0471682087204506,1.3126051524540616,1.5760881848181432,1.189886121213937,1.5231694150528323,1.0917837333107039,1.2291594041658043,1.1636524788095564,1.0993873204098226,1.1171414223099312,1.1912248967506383,1.0621047163407387,1.4387279240076696,1.1757168972461476,1.2890157597107073,1.1874881599289488,1.048488269881932,1.0400763293224657,1.0399155444645134,1.042276843172071,1.0326136053396604,1.0465397072617793,1.1696150024185687,1.1186523582468604,0.9694133783044763,0.9171806890678007,0.9700999263953326,0.9616962220506117,0.9537975385632519,0.9515106046200075,0.9923524781221434,1.023547074011205,1.1248869503898167,1.0985794150101826,1.1759785052314247,1.4934015963603418,1.2875304790504984,1.454027195516808,1.5308755098211655,1.5174368804293685,1.420643817408978,1.3053668589273393,1.1542794059828816,1.0086901118860931,0.9042778796729075,0.8814079439185057,0.866919704849049,0.9318575901617252,1.0909545153124893,1.2002217523848144,1.0289045519414082,0.9994096091237219,0.9010314498513216,0.8670430211954754,0.7515600825984586,0.825137424531735,0.9083349926868787,1.195053638306635,1.2367748047461669,1.3354961569392203,1.396496149737342,1.5405891885436203,1.6269047729123596,1.589648350454226,1.476135529852007,1.4084086171741534,1.264645917666913,1.4619031165418568,0.8997575791312856,0.7404282260432924,0.9777966766117536,1.0270309518661915,1.396980426539687,1.0990738798282178,0.9654685091829692,0.9769026014641315,0.929924066683129,0.8998501106245542,0.9248350564073345,1.0035813157645779,0.9921511083343332,1.1022720600753462,1.0468481030928918,1.1899178286992351,1.4645134175380639,1.18561347819174,1.0409717789643116,1.0420568612302188,1.105308629042506,1.0330042462343845,1.1800419553662445,1.1005006634365522,1.0536899386604939,1.0216214021677028,1.1878858040925717,1.5631225197753298,1.198270296957539,1.6901024427907678,2.101402477574601,1.8871594110101129,1.3531764950498752,1.3826649231110997,1.1771296858241937,1.2539723279459436,1.2553059500753323,1.1920451972433463,1.2128693244722686,1.057787594047618,1.1825684723898666,1.2089326590987814,1.3428456122893302,1.6998244507222846,1.3532695406595834,1.5136634946181837,1.4931337057221967,1.4165121977072745,1.3927177336015726,1.3562846868084912,1.6619453861864306,1.9777337741363419,1.781700503336687,1.980688237314639,1.551650113200998,1.7629123780712823,1.6828197055289495,2.067686499354276,2.3725900067546792,2.0142759205800873,1.9796696580861781,1.9669154693259951,1.7836133789570612,1.9127952156665786,1.7432303872773973,1.5957173040002561,1.6955826607736362,1.7439247112621121,1.5237280296887907,1.4741666542317855,1.5949703067777192,1.5636281648632053,1.4217135939334062,1.4576694161327879,1.4882817438635676,1.4293971870363393,1.5060839402223722,1.5628521800950732,1.587084404611911,1.5615125611254657,1.6690800791009281,1.6704309632727603,1.7281867895345697,2.1340254455022034,2.3099633511822666,2.388971646420306,1.9768791997990591,2.0223471172613166,2.194062198230438,2.1652015892569083,2.5704984961295154,2.396568051642274,2.1816215486873793,2.3576455781992527,2.5638099047353404,2.3726901944651178,2.323314790633081,2.6510266353319034,2.648854327104455,2.3758996020810024,2.3612347896817614,2.098601534934115,2.08951176681355,2.2025437973820363,2.0273022030819376,2.0904633935240846,2.1231368999455413,2.0138976822844286,1.9473002066063145,1.9704407005274853,1.8416756846719422,1.7143439548727903,1.686446891197335,1.637064914489979,1.5374622627222023,1.5176513970047165,1.6632117071360413,1.5503652130155257,1.511481267598346,1.563228612745117,1.6361335603017386,1.6771907104878716,1.8001199145855395,1.8581561030673905,2.1400868455189204,1.8856126316023334,1.7693174010648767,1.994136875900639,1.998505284955871,1.855000142788465,1.9255250425005048,2.177536331078657,2.022107680170348,1.8686012364147,2.1345828107593885,2.2479730669325932,2.1488178442906283,2.040759923941221,1.832183204596867,2.508834933950261,2.1302125241697634,1.9748946199915465,1.5607151474788554,1.5352268492170291,1.5029325460665786,1.8016479812777022,1.5754872393960182,1.490326580194626,1.4957559454343354,1.9427126326107573,1.402481781698131,1.6287023332942776,1.3490200633154472,1.36313382564241,1.3510053113364608,1.3927027127017393,1.3138634066312038,1.2152062948828182,1.2900029050669437,1.2167163706441628,1.1477214019517081,1.1393346604139514,1.1831052819186318,1.111173864766119,1.1411302914682209,1.4466592328641454,1.9809534083079585],[2.1163542430074704,1.5906832164719502,1.522235689473046,0.984867678962035,1.0745209079078142,1.074308729231046,0.9838689352819454,1.0019312692062237,0.913627239845891,0.8431512323277315,0.8338992738636005,0.9518050858925872,0.8897874644009086,0.8216474696909765,0.9244354500885893,0.9173105909100099,0.9272474333094404,0.9957140866067814,1.1019840572973674,1.1248386187200974,1.2403426862027154,1.3304112428027364,1.4535062804255854,1.526896268690847,1.3949181748160568,1.2418991730904314,1.1315405298566037,1.0073083574678268,0.9958586675121618,0.9335542847651227,0.9502574626232294,0.9295111930331957,0.9499466566526169,0.9877866921948899,0.9504962072223979,0.9801660415787449,0.9904691123214797,1.1213101449882978,1.070638100714413,1.222135818001822,1.2253753521316735,1.2347581948033826,1.3241338784419636,1.5626444221553002,1.84591146667724,2.285227547828277,2.7626640398206384,2.1987208259411437,2.2165091026127,3.0071288067430975,3.0950149584761872,3.3211046500099255,2.519403620123944,2.394114878884562,2.1252064141113176,1.9184804877848782,2.009039842552878,1.9189614556126546,1.7194204172126084,2.1953862638432255,1.6636255761290055,1.4462622695456067,1.2027089103500757,1.2609689545467098,1.3954745292142239,1.2256983340112657,1.2779661780297145,1.1027044686767524,1.158473042804972,1.05086330370223,1.3004307743331085,1.526982861347534,1.1738850783702914,1.5031341151490025,1.0891050585530497,1.2362918916269923,1.1675113896830964,1.1023585340489173,1.1156195884956277,1.175029055418798,1.0407661640627432,1.4221234680564814,1.1439355488826297,1.14882293004565,1.1195538215025054,1.0424532096168644,1.0502098459842026,1.0299610777698378,1.0510049394144683,1.0184543131336745,1.0404719143320484,1.1235157980984996,1.0888757807965537,0.9619980824564254,0.9234381880214574,0.9584755749438256,0.9816327707852105,0.9851742969536539,0.97000497029809,1.0023577770402075,1.0073139026634892,1.1001261979652286,1.044015659469549,1.074715997880886,1.3893002930084932,1.1593544076394866,1.2999306593864681,1.3595974852481227,1.362340345383065,1.2867786788317768,1.2329968021441318,1.0872494733163338,0.9766823138953894,0.8805423879627751,0.9014444138559757,0.8997047449184207,0.9699357345000633,1.19127837228981,1.1892512701723645,1.041226402644386,1.0218799499951905,0.9348719432020909,0.9256305228790496,0.8002008131900923,0.8201915076962792,0.8655853674574402,1.1472530273245474,1.1725768331479591,1.2128332891763502,1.248136513041649,1.3301566795880626,1.4046251054888224,1.3754960451658715,1.3109377897517491,1.2368277711314115,1.2033900404428426,1.2915102671141299,0.9014764022535031,0.8269243379560515,1.0205252556389695,1.1134954654731932,1.4380507729730416,1.1297152015140082,1.0222774302902498,1.020425748657406,0.9576905100445666,0.9326153876558759,0.8986358773860562,0.9457576498154636,0.9660273244367525,1.0659362052171824,1.043083627126391,1.1750896791879506,1.51829015530667,1.1951873020802706,1.0227607003005832,1.0245096642783034,1.056922555262972,1.0125265553619507,1.1117128483038963,1.0585706950179379,1.0427139875862728,1.0379602886454178,1.2005878083100323,1.52636614449618,1.2324972473190063,1.6344082055811944,2.0836900490189634,1.824607965249059,1.451274803905847,1.3057193701475656,1.207717019022276,1.2122721555813172,1.2140246146332554,1.152997138258133,1.155490049343319,1.0384319133827067,1.1441850759604377,1.1743092274402191,1.2760775434279283,1.6190871039526438,1.2630583187387048,1.3844768436087496,1.3560835117559027,1.2936107462925996,1.3286017825690704,1.3440670994298434,1.6183957696637596,1.9579802195606535,1.7412275790044027,1.9264782685985071,1.5081101619686204,1.6923664159758887,1.5504948484103869,1.781555957022517,2.0599898536747094,1.7139844367672423,1.7074342455398395,1.7736646148033948,1.5961385763080949,1.7317109660149654,1.5804258910656528,1.4938265621727416,1.6029462457496475,1.6413225629689052,1.4807507495995975,1.4803660783371322,1.5818730403608627,1.5350074982165998,1.4682508994621084,1.5106648727177265,1.5302623990481943,1.49109719024355,1.59851694709088,1.6614075865022688,1.6801579566951477,1.609860042099177,1.6920348484640118,1.6715816332508757,1.708058518675724,2.0995255752770032,2.1912661475581197,2.2630120914204213,1.862938468728842,1.8766264836759978,1.9961774527010065,1.9429003129347282,2.315941864322772,2.1958368893776856,1.9853774101914448,2.1233727889917207,2.332201466176942,2.189099366127742,2.1104609371560854,2.3777300424547705,2.4862089255936404,2.241265617577016,2.128084053672499,1.9269186678735037,1.8269358845794246,1.9237633142731494,1.7987153238249003,1.8181993647577264,1.8629279323866144,1.7579507878936336,1.709199658469522,1.779940150044791,1.6469262688441404,1.5718593382640271,1.5654927620232013,1.5357799994125616,1.4741633706205415,1.477642460666848,1.6064480937910888,1.5190079333909594,1.50683533467141,1.5628631299257336,1.610478364277715,1.6373374399836258,1.7091169406418911,1.734045523271703,1.994766683407242,1.790374890511295,1.703086631527348,1.8606303476989776,1.8876943875296661,1.7877294797705774,1.8309359150607825,2.0412418863159885,1.9567941955885573,1.8137163297889665,2.03824951848482,2.1569189596319402,2.100584167506688,2.003855691759797,1.8082697856200398,2.497154244114164,2.13358706507431,1.9987555689897227,1.657750453493836,1.5903842105456725,1.594769531043018,1.931512247188212,1.686681251183547,1.579102443568885,1.5311859459215658,1.8761674823877954,1.3799839993145953,1.5007446396725062,1.2652720638497388,1.390018674160544,1.2811190269515798,1.3373995380426096,1.2776528633241233,1.1975559110306,1.273495190604909,1.210718973690906,1.1774966592173717,1.1986006879387352,1.2526647774837578,1.1470406582154502,1.1809409661670756,1.40109752819009,2.017087123952583],[1.9074788367520388,1.3544067320876747,1.3300610317810686,0.7743213406722057,0.8654042308591874,0.9047288021888068,0.8871275379503993,0.9189047945570926,0.8675797475640654,0.8858507017154874,0.903546004179195,0.9628770061295719,0.9638851755334497,0.9140334016190591,1.0251921841140827,1.0272805241852185,1.0575569695757228,1.154382108501855,1.2762283179507883,1.3015378483537279,1.4021253544984138,1.4553472566438888,1.6150409887324453,1.6697070645494945,1.5326681393838997,1.3791999238439425,1.2802471527817003,1.1578171178435652,1.1404439134527382,1.0579325131340684,1.1033903428908718,1.0401361182600888,1.057284377024174,1.1510510092805972,1.1117612918187842,1.1621124065278559,1.1350995366984176,1.2659472030089933,1.2430149097696424,1.3851660894319016,1.318712647065458,1.3811194749565952,1.5228901486569875,1.9037737134135058,2.201426440396874,2.637937028324462,3.3100992951352586,2.674378256941606,2.621207019344664,3.532248382511835,3.595541992620801,3.730430076260309,2.9108447265178112,2.6759685824947366,2.2264380043100136,2.2586651932509696,2.3106536069501473,2.090589052615487,1.9437602290010354,2.6113436269768826,1.9427803310165237,1.685061354573817,1.44294708491051,1.437670163233244,1.5720051105243935,1.427983449683893,1.4421201966337436,1.2885745676764602,1.3413805334634976,1.222505855100001,1.4747241252721874,1.7231375577579697,1.3825697551682468,1.7311451882005668,1.2851949535762792,1.4126763639038211,1.3893991780289516,1.3336584053123526,1.3380199976189753,1.3993860190522267,1.2473791526505127,1.5888101018187946,1.323844028881199,1.4274004370907565,1.335980443030684,1.2198211164966208,1.2381908673139221,1.205453768251589,1.2546426514703632,1.235555478919389,1.2517466693797619,1.3719896298703462,1.2884861844686712,1.1320782883451417,1.058161341280986,1.1046406238983735,1.0505402446496521,1.0246327353858795,0.9872508173385492,0.9827655144988563,1.0462272944882698,1.0835555712266671,1.1025779714052222,1.0943273610645385,1.408326152466169,1.1793801860387676,1.2888675387922743,1.3257797592432952,1.2578133069369037,1.1813508105057509,1.0875347209583428,1.0350202011310745,0.9382560404024891,0.924623398804187,0.9805133110738576,1.010160186379319,1.076772608107452,1.2272222624246878,1.3276160140784603,1.188827060477786,1.140957232417512,1.0479057175650353,1.0137722714297024,0.8865626906285027,0.8753246826092038,0.895011424190295,1.0214454927185266,1.0848005954764495,1.1063870280019967,1.215803266584327,1.284022735513023,1.3960721744018623,1.4234653717340882,1.35299008632469,1.2797026937455596,1.1891067157475979,1.227563831945735,0.9445214608022571,0.8935525676684875,1.1495311325671533,1.174186136960163,1.5514966644339883,1.294086276528464,1.1627391710474673,1.1758573948702955,1.1108085968581427,1.0548073435717231,1.0011697679087521,0.9913492875621076,0.9551899870490476,0.992041599671154,0.9595511026991972,1.0987155526947148,1.327191200384334,1.111197475146366,0.9858856123469882,1.0030169545974552,1.0251982451510813,1.0363471752509459,1.1127683594729996,1.1216146834158696,1.1733647718862665,1.1855098766712713,1.3564040616850386,1.7134094558897583,1.4101577967209011,1.7756454491120084,2.2247490126676768,1.8186687803765476,1.3811610228134,1.3498246782965337,1.240913243748757,1.309864358523453,1.3137714101169835,1.2674878997735683,1.239324178481872,1.1339515548649206,1.2436802568315048,1.3152490035761928,1.402616220355262,1.7437550343248107,1.322071667109107,1.500537974668621,1.5172252845441108,1.459894670382201,1.559913091921788,1.5740176650677384,1.9378771044219196,2.2614608236408804,2.0540826584152496,2.2379308094170627,1.7328067698720313,1.8491863432136368,1.6250957369839023,1.9102205698703707,2.1200509342161706,1.8158753054124261,1.7421885632639516,1.7047821486976038,1.518196681357582,1.681044826225475,1.4867844304435494,1.3155443679107754,1.4328359255520111,1.497905146002953,1.251327014759805,1.2171131966313473,1.3436285571956437,1.300309171649099,1.1762772482789463,1.2238933858956649,1.2532838492842386,1.2098751587450627,1.3402345684939303,1.36202074142616,1.3664733899251633,1.376805674097522,1.5264878590923705,1.472853354288597,1.547455751425809,2.0027976875293043,2.358185352081232,2.2660385262434475,1.9007241040052774,1.924017791588676,2.1020000062976973,2.05393496785389,2.51359368603259,2.3495345167758996,2.081425401280521,2.2655729652028938,2.540341220173619,2.337418379660433,2.2307319197771016,2.6133589440280556,2.713770006286752,2.3152088185675486,2.2483461034520893,1.8946032344495198,1.88857182676344,2.0581458799212085,1.8585776594131815,1.9274926607084737,1.9484737375227774,1.8532582337272818,1.754134999822782,1.7635667237976291,1.6341522750078323,1.4986544993593245,1.4338475228922785,1.3807134744201066,1.2809301404616809,1.2436391280662897,1.402995434619589,1.2902544001528689,1.2783621998465522,1.3138037947332415,1.3947046523791256,1.4351635695433627,1.5784857612527448,1.6314121271852982,1.9340814741060242,1.70769915705955,1.5521217205407845,1.8111362927485355,1.8636733297818238,1.6855422471116601,1.749201467680943,2.0935646061390036,1.9442062526701243,1.7137709435008737,2.0212963385896456,2.210252895674198,2.1209962955960173,1.9525963700603848,1.641927294691255,2.4466549596820264,1.9650717668132205,1.8320022522407873,1.4197120208624192,1.3186520498994436,1.3077374168702933,1.6790383032296257,1.3717360896115902,1.2951717777991076,1.1807513317044107,1.7699256449802223,1.1635018273857884,1.3595600437692315,1.09977235300155,1.1611339488196315,1.1506278243083237,1.2051222910734514,1.1228392026233847,1.0417269595175227,1.1616360774916623,1.0527803529469018,0.9869883252899033,0.9185333739889604,1.0153906229556051,0.942229301508638,1.024830614206332,1.4202061133339472,1.893923971367146],[1.867733965985799,1.3032765338513541,1.3382121754399012,0.7065148517512423,0.7939106968431058,0.8047492695808396,0.7169859526461378,0.7571091149856686,0.6887180294369568,0.6670736306731877,0.6610965480570062,0.7539911207066304,0.7442567925088387,0.6942581197952862,0.7939745864627967,0.7944287030001442,0.8475585960835639,0.9447487284622597,1.0782084013671989,1.1287075199834746,1.2481152690679775,1.3500807234732537,1.4862799766372476,1.5615191308749385,1.4381827182700495,1.2393186313694144,1.1414024866480839,0.9829509979430102,0.9456589569614093,0.8438920262146261,0.8636975271939049,0.8259651794760335,0.8584621472653542,0.9116656071246891,0.8963056356351654,0.9416916840622113,0.921063359637372,1.1057774371616074,1.093863361678054,1.2853933970226878,1.2897429028225962,1.2641061394801736,1.3899846265825073,1.6192556005235978,1.9220061345367307,2.3198846602052376,2.8395086625892096,2.280057477317343,2.2335998807478292,3.0414672779156158,3.2127420944530947,3.2125436504520426,2.5036497609618236,2.4016733473244014,2.210187564172398,1.9917734923473602,2.0856965501601192,1.9543962736242007,1.7738877086164582,2.2190813419905857,1.7091338598319559,1.4812953887588223,1.2275553016930048,1.2716176419567926,1.4215096925785862,1.2524658937112676,1.2763333275464657,1.0785666483507557,1.1246856744617861,0.9878146897322213,1.2513419589139838,1.471915010851375,1.1238243546429663,1.4713898276921376,1.0601463250994123,1.2136960082177608,1.1431637949792184,1.07381179691436,1.103680240669995,1.1847737825090259,1.0240209469459847,1.4048381071545564,1.1145483072006621,1.1029659796214089,1.0868398250047462,1.0132196274107685,1.0611244046645358,0.9984358932494639,1.0393205000885355,0.9782412919957207,0.9780975192493098,1.0559857254338862,0.9924082880202287,0.8693869713416539,0.8137808100497071,0.8413698331630483,0.8550875637278937,0.8186982421932889,0.7807448658995997,0.8061812013482313,0.8195104507803671,0.912232098361566,0.8556275120207147,0.879592162880089,1.1515112386027457,0.9505753036430323,1.022933164422374,1.0599813775741507,1.0445619945300442,0.9526347692281396,0.9163309623950161,0.8357368905700163,0.7380211616918992,0.7083614025455373,0.7766830801388902,0.819362169119422,0.9313492605737816,1.1855348588699062,1.1431873749075387,0.9897995033974913,0.9624230087411664,0.8603537127025993,0.8681067984046886,0.6845634809599085,0.6237952986591073,0.6534390428112367,0.8485494282160155,0.8928039660365112,0.894186554291551,0.9702484183767148,0.9950971548030458,1.0973367916096906,1.1287207731245097,1.0909028313868925,1.039542377678229,1.0065899494201351,0.9749115658976878,0.8799196711834317,0.838917256772092,0.9655630542327138,1.0980469762308032,1.4375962974407914,1.118333881118319,1.011962986939579,1.0272887582949386,0.9211409382733591,0.878565205777722,0.78694746469572,0.7689105506514112,0.7516788258219702,0.8056386510444961,0.7870946089495796,0.969617064822177,1.2888160326041362,0.9366405092089101,0.7866711614562223,0.7812894125652664,0.8212671840281524,0.8216972841216371,0.8775479119209108,0.9220105783037142,0.9622364341593718,1.0087256544862282,1.1927561390767696,1.4847171264334225,1.28241400020032,1.631986743350978,2.1761067964229333,1.8330346146271053,1.4699901516104878,1.2477200869989538,1.1693754515633248,1.1505398270153933,1.1292311638835983,1.060622549437589,1.019210259086031,0.9215990177823863,1.0493413871193227,1.107765634941697,1.1622327268317738,1.4569651942081085,1.0995089458987926,1.2402819010046873,1.3019761874360631,1.2535836594440046,1.3576842583890372,1.3831824906970582,1.7117233831590404,2.0706253966871055,1.8436533814067566,2.0299323020645677,1.5741884567120334,1.713035399716974,1.4958992105377422,1.5924977088765029,1.7333308197442168,1.3743090168765508,1.3400129369344873,1.4171697041509468,1.2514699585196702,1.4564718169520185,1.2895635086752155,1.16230131662579,1.3128001531527256,1.391882382760277,1.191966647634174,1.2276897910326767,1.3373500206988898,1.2908430675175036,1.2029662182009042,1.29103732757822,1.3262334244767904,1.2680236502355307,1.457668634632816,1.4617539536523139,1.4580413098079703,1.5047266523249905,1.631571863465444,1.5348419947169336,1.6015934455040248,2.0358727448348457,2.399078076542951,2.1963022292300507,1.8506379899467715,1.8176497442752346,1.929482341396895,1.8482192803961461,2.255410862473404,2.1612817753940003,1.890860123172911,2.0076063760129124,2.301322744505123,2.1448980428917133,1.9833112010573237,2.262327820072638,2.5138810382450405,2.1242903613263064,1.9373587078843812,1.6597843505537642,1.531670856671594,1.7321617612558928,1.6163628800414025,1.6171504203280802,1.6636973440422531,1.5589062423512123,1.4848215147737243,1.5760515835826685,1.4305275831884137,1.3473385885700575,1.3229285824662016,1.2981615968169582,1.2159520774720882,1.2079600237853119,1.3732052552683207,1.299509432250303,1.29777214910218,1.3631797574819329,1.431668763067893,1.452621672779473,1.542035585159653,1.5384154771790455,1.815148050574182,1.6637995959946916,1.5077575034238444,1.7003052275404769,1.7858757337061042,1.6499548415582272,1.6525492913899043,1.9756188969468933,1.9030014875767078,1.6777562717329657,1.9239465561519724,2.140164216304086,2.1000596038353097,1.9457819962501475,1.6576815485944576,2.473113050814274,1.9909263977704583,1.978634443510424,1.5395742779105408,1.386178775162862,1.3508177993476271,1.7367570995919868,1.4646642838108082,1.3929494806930303,1.1876319127580306,1.654808923761489,1.1269143038826681,1.1436745580518142,0.9099539334778952,1.1280609507250159,1.0269414225072204,1.1310913388269321,1.0671356678672521,0.9290862979731939,1.1237705206223845,1.0070198562055355,0.906514393435366,0.8869595302192482,1.0097357764885913,0.9120155956113839,1.010759325764969,1.3146475734796486,1.9415257727067308],[1.871558624260226,1.2819422826006501,1.1728459115882781,0.5793619069168972,0.6561563717810417,0.6720055702273443,0.6062456903896719,0.6360533316869057,0.594092627829343,0.59078647939593,0.5886058001461066,0.6696818200247338,0.6752306938826168,0.6206617995702154,0.7263985391830623,0.7157036092672822,0.765918154824356,0.8502638014037374,0.9825005134917717,1.0005144242974031,1.1044118464291774,1.2101698259060356,1.3299290622775228,1.3877652200021469,1.270944942195891,1.1069906013163942,1.0115159721203744,0.8792885505180728,0.8451353615821001,0.7468243162969724,0.7802959302857833,0.725502478399053,0.7660913568319202,0.803743323007793,0.7833720612531195,0.8338285592362769,0.8078097973424714,0.9784948577546436,0.9519093754067656,1.132810596587306,1.1284694817432428,1.1252822665423623,1.2335304291232287,1.552430397313016,1.8877625806320328,2.3708985241240894,2.9418511096270885,2.2652151949903785,2.259305053312286,3.1172840822846344,3.1653619279665963,3.3474416762140735,2.5289899624230836,2.375217184125858,2.1221398021796696,1.8913755066595497,1.978007644546473,1.8690460119387209,1.6545220701508143,2.2247724392886754,1.614229319043051,1.356802501201228,1.1128963148641873,1.1585685531205532,1.2844884524478555,1.1176526464880736,1.1531457476141207,0.9736376637457317,1.0517868520967915,0.9238062199669607,1.2127502996076525,1.4746453877776184,1.0919457206332652,1.415611738180257,0.9744343056590136,1.1114955513650422,1.0384991304478803,0.9690074504770145,0.9904998633702005,1.0802886896300392,0.9131846170695399,1.3304427785301343,0.9941073823876588,1.0829497469610296,1.0044275436588102,0.8991689794416524,0.9380911394704669,0.8799154104534054,0.921870057954274,0.8918556204355679,0.898157566957466,1.0266358801950408,0.9645602111401781,0.8000258030624987,0.7463781794497387,0.7960020796279177,0.7963047992641609,0.7145523241917844,0.6761579512237988,0.6945331760186237,0.7227761107090053,0.8009620418332493,0.7523452310587917,0.7730046879978714,1.0494345230262423,0.853662191110091,0.9113794724076648,0.9504576918240185,0.9099854414037766,0.8348043107571149,0.7908137323751457,0.7245141174406202,0.6340941879453476,0.6221933602017967,0.706197093983784,0.7523267350314086,0.8527451619024036,1.0395155343936795,1.0766304034780767,0.9173955133587749,0.9025563549866482,0.8067101880686903,0.8093141033581186,0.6152948330629653,0.5785669764180872,0.5997719552311297,0.7729105041831253,0.8092956067831261,0.7824495166391253,0.864932355382668,0.9025242502344886,0.9892201386159306,1.0243731034411387,0.9687198240602729,0.9321437994584397,0.9201434630569785,0.9012096076814463,0.7820199728518491,0.741410923152727,0.9053695162316839,0.9536966255163398,1.3382216059598877,1.0148134415721193,0.8991394099783006,0.9115320179138112,0.8179163652526408,0.7809733287334124,0.6976723685572006,0.6762703859373631,0.6550817279618326,0.686689397690559,0.6628184141754371,0.8435538530949431,1.138765056739546,0.8695383936393616,0.6737903873444937,0.67681270397803,0.7046369518840414,0.7158804389086071,0.7678228520547876,0.8240156893187641,0.8509773719234243,0.9005085262628075,1.0566910385060777,1.3741801277442403,1.1703967593077123,1.5255697041494227,2.062493306369036,1.74406013314314,1.3822545182212502,1.1560695427813865,1.0752732342329328,1.0366729964284236,1.0132270442135942,0.9437559069598652,0.8938643815690124,0.8048500061113045,0.8934725874477006,0.9785482083779804,1.027585505796633,1.3920195617326416,0.9747714015254533,1.1176103875656844,1.157044778549707,1.1087258019220316,1.2098502777771605,1.2421102730262965,1.5676508121968136,1.9514083515696736,1.7012999829764444,1.9021960584011708,1.4261260586801352,1.601569078668341,1.3906606256960568,1.5197661401626013,1.6974530097726706,1.3107372554546195,1.2667491985781216,1.3081665124753075,1.1430860058201717,1.2889302468555348,1.112014715267532,0.9942795392703795,1.113227916957591,1.1599482947876847,0.9825246222692983,1.0138104261302927,1.105227936990234,1.0517475524775661,1.0488732354360422,1.1131302099928073,1.1180882881426502,1.1307507763444193,1.3580520122116664,1.3338330066883441,1.3205442785509682,1.2789875737344845,1.3715774506116465,1.2641677634430597,1.317963768615161,1.7252740096453303,2.154762267836051,1.90654278496571,1.5988496576184088,1.5838337052735403,1.6791639664113491,1.6193340809222583,2.034502381248557,1.9344841632433043,1.6803859007575528,1.8210817576821277,2.126317196461682,1.9546547610462575,1.8220160795410258,2.1645511697214777,2.377049278191689,1.9613501495126484,1.8757612957352976,1.5161872624118435,1.4067183218902508,1.5821849535851218,1.425472440945638,1.4387639667240728,1.4569765833113177,1.3938059772138196,1.3052037408829178,1.3354088266617967,1.2081540921189744,1.1554106842184704,1.0863396596383006,1.050859279100844,0.9940849112611628,0.9912207066012108,1.1138066656162955,1.0519413601629386,1.1397519359474095,1.138423114078881,1.1758837746825825,1.1800847424942928,1.263346951776222,1.2772919066736537,1.547845210983164,1.373331576091435,1.2435181855241315,1.4500145744318775,1.5152319142147381,1.3754834353998362,1.420466257418609,1.738430968488718,1.6522004493946723,1.4332960577336047,1.734587948868222,1.921898347910641,1.8734560599411034,1.7114210880959044,1.3798069967493443,2.286712465775483,1.8197500438113547,1.689077340994541,1.4050975757318998,1.1933106464796206,1.2722433890434586,1.7190838598130842,1.3246165182615806,1.2028341077064673,0.9846155881267383,1.5822680278634158,0.9892354517456537,1.0261667564489347,0.7864344731630595,1.0036280179160915,0.8981507419271663,0.9978062916701175,0.855680436237254,0.7799882882638786,0.9793912081237454,0.8372191679549946,0.7498625941877086,0.7074487757310332,0.8655744141308027,0.7439474367632501,0.8480508907316195,1.180135895615372,1.6686009516359945],[1.8978089710215362,1.3084204336622212,1.1605626698945342,0.5685025287367488,0.6706036242031492,0.6738021424772646,0.6485186789611517,0.6779358135300718,0.6366326450353416,0.6517165061322985,0.6622557384696833,0.7388578376387966,0.7598934135629967,0.7020499909330197,0.82696884590195,0.8221059427773404,0.8720841081643401,0.9591942378010306,1.1090019507733142,1.1030000640220055,1.2100815132934022,1.2789257879934788,1.437023009984895,1.4945898928940944,1.3600557988460134,1.198380481276922,1.0971339888435518,0.9857202064145338,0.9528114331827692,0.8526971468234538,0.9108870688331373,0.8280131856287859,0.8543207134805851,0.9315272406252628,0.8979032420672639,0.9553057223770962,0.9168128020752336,1.0909200453924377,1.078747271603017,1.2367178512855237,1.176707810674109,1.201736226969985,1.3521790311147308,1.7816862113334362,2.1308636084834935,2.608114474995529,3.2897257078370856,2.5593441696939823,2.5039133982779593,3.4155203198542394,3.460744032323466,3.596450027828251,2.7689547136786588,2.53212704830779,2.0836651912977735,2.1294603306833757,2.2009945137088804,1.9156702344987586,1.773359206988975,2.5519350940477326,1.8067990329223467,1.5089493900167177,1.2603355920563535,1.2739045872849375,1.3977066846479123,1.2350660604949228,1.2518827076628005,1.1000260863786975,1.1888271493652809,1.0598380455550307,1.3259862783521734,1.6134944731663106,1.2391193078974159,1.561357799997744,1.1151827171091517,1.2778596392941615,1.1954575119302213,1.1289487654198107,1.1350745666213218,1.2223320009640726,1.059875516895437,1.4617334159743158,1.1456431655073427,1.2254652490206444,1.1790608104006346,1.031901400488535,1.0584584095757201,1.0065736642341394,1.0563844576281374,1.020521596491322,1.0524767043036058,1.197607224508605,1.1339418136818067,0.9170173510708854,0.8519242936770769,0.9005433939657334,0.8974818357603531,0.8212834756347976,0.7699196578293706,0.7644759746196125,0.8281904922690606,0.8727808890924978,0.8749388169351949,0.8599353032205456,1.2067456189293733,0.9621795019014695,1.045406933752886,1.089711929143997,1.0275738442050073,0.9526950743058641,0.8637802447296995,0.8154202342423735,0.7050670759018496,0.7059676216559634,0.7939525441059848,0.8368792849240562,0.9246636470381753,1.1187331989767386,1.175951206680031,1.018792366898819,0.9823542065277263,0.8722171988273174,0.8589149389469868,0.6965634673162644,0.6490846059151709,0.6822305127733382,0.8131278908732421,0.8840303725661565,0.8892772218354656,1.004184717893921,1.0420115354618844,1.1480724782554466,1.1944420006191225,1.1348773436184607,1.08317077852666,1.0263177516677293,1.0215255288925318,0.8179376566122595,0.7608749837468003,1.0541382101729242,1.0558178487702392,1.410871423573007,1.1301030860152512,1.0064962458352131,1.0195789247029885,0.9362927151040722,0.8833609253155659,0.8060723174500583,0.780752779551847,0.7290283862351273,0.7564384876160248,0.7176146892891653,0.8709752910511485,1.1599072581477199,0.9507361378546482,0.749580871557257,0.7674759800829895,0.7857121730208667,0.8239015838078962,0.8947511695688606,0.9393566505283908,0.98404146738431,1.0257028396588186,1.1915341869713196,1.5684982558115688,1.311473586832193,1.6702412899133388,2.1772432766892185,1.7865229498267459,1.3885966147316209,1.24553418558158,1.1539855481300403,1.1624490309165585,1.1504416090094234,1.0767993887867162,1.0349629548224726,0.9189685596669894,1.023754959464655,1.1142190862849597,1.2007146003863762,1.5962212616677245,1.1306078024143182,1.312393510120269,1.3544720584257464,1.299002104699327,1.420092551115726,1.4244722132318715,1.8159513060054209,2.1948053702775345,1.9386735135400444,2.1137534432225924,1.6010937147867743,1.7272524959147642,1.5030741645578358,1.7377808951756106,1.9140000891798048,1.5001079956769985,1.4289693800389613,1.4272986186459236,1.2517694175558929,1.3957377437298013,1.2094751586862567,1.080181422118417,1.184943804218974,1.236542905599741,1.0451706122260491,1.061391475660537,1.1523331977332205,1.10601767983315,1.0856229893918854,1.1465821026121459,1.1519589113318547,1.166828383029475,1.3834416325595689,1.3598034352302735,1.3409028373563285,1.322212364219482,1.4096055224645194,1.3107361549476624,1.3731256520831756,1.8159331479081537,2.2573798021847287,2.031176115006703,1.7121016743831297,1.7053458417810454,1.8407388564183975,1.7779881102067916,2.2365035701870224,2.1061744317824456,1.8159350504075802,1.9971452650067854,2.315001521077252,2.110394795149517,1.970403560651025,2.3486281333760877,2.548816046647617,2.0884601398696847,2.0004910201133352,1.6277734742031262,1.5689324190806817,1.7543416127432307,1.564302028065484,1.6016742559521948,1.6097105056457754,1.530854180079189,1.434680055672127,1.4541811308810433,1.3227397107002763,1.2446425080278105,1.1725096370581072,1.129320269606276,1.0600670134259942,1.0482000125618616,1.1822343776355033,1.1094487055385698,1.1821189033585648,1.1875693372071006,1.2330738080127,1.2396869763599263,1.338846127688489,1.3692786688389635,1.6639297356865725,1.4564356537362524,1.3106184260415923,1.5475073181363046,1.6109503747622977,1.4453215742153167,1.4970360914515852,1.8513791310173708,1.7423521403381508,1.491953270194441,1.81252054776035,2.0411424770995596,1.957298803366509,1.7674022910635736,1.404627634414244,2.2922110692074718,1.788277892130304,1.7009853700130877,1.4269049975548076,1.2196157337579543,1.306573377562288,1.7476734945006178,1.3384116873369216,1.2133652347686126,0.9984309163764061,1.6206361639887679,1.0328677512108406,1.111020108964918,0.8654486686745103,1.053309666025945,0.9444567600651483,1.0220167173502164,0.8806187183850481,0.8002520840971326,0.9759126295086932,0.8253500479314294,0.7517138199547693,0.6845791704953911,0.8491080056007896,0.7269163890110065,0.8298122785877816,1.17828307632009,1.6329726500131008],[1.8445018353280047,1.257656986138423,1.1680973208788499,0.6079238036935251,0.6795515043834155,0.6591999683117742,0.6113313307527504,0.6408522751495634,0.6003251128609148,0.6066426871333966,0.613829822152218,0.6580668028414327,0.6941272039155544,0.6476090295478472,0.756246354929207,0.7434062438351612,0.8195135998158961,0.9137864154610338,1.0804607670764943,1.0744763618448478,1.1973645546230534,1.2807908308612779,1.4542066224377257,1.5122185648493365,1.3625757217722074,1.190030716919913,1.072774541414019,0.9497854791548326,0.8991743511826584,0.7883981733652861,0.8485832262675855,0.7609404351543486,0.7902422825550505,0.8746481660461024,0.8472960322606079,0.9145215386057223,0.8518512896869579,1.042905551140693,1.048066984535951,1.2250735294457196,1.1737829652860117,1.1900847558520458,1.3403833259575428,1.7847324329218925,2.1616241214868634,2.638321769601849,3.347641420563369,2.593422502019776,2.5094549723281503,3.442145103619779,3.4937515910314634,3.5866701984706277,2.7823703920699416,2.521347917012893,2.1070972390845313,2.145490683684249,2.1997201336186682,1.9143388405255426,1.7720452607289936,2.569584792910658,1.8168713274956612,1.5024241183823883,1.2387397626367425,1.3049684520484361,1.4092162129277683,1.2144648161931046,1.2384127047109015,1.0670235498176555,1.169733931953674,1.0265141314983801,1.3202064653503143,1.6386603206029853,1.2334549726307669,1.5540387634465371,1.0882948135037513,1.251430332380938,1.1633923435862237,1.0948617703840222,1.1057104351548706,1.1939612045691603,1.0278378025539028,1.4433216698454265,1.1135822630686154,1.2072134243687649,1.1414165425715121,0.9880114967547322,1.026111893298459,0.9671654103190729,1.0197120424653774,0.9773908623584038,1.005774471054675,1.143634313492425,1.0763521054106449,0.8451677258860023,0.7887491383138144,0.8389953459321225,0.8430840589806736,0.7546251757225314,0.6857796062570685,0.701213763889108,0.738661775709312,0.829798482562616,0.7928688052999987,0.8006269162291926,1.118970598423536,0.9186936935144837,0.9862917639836751,1.0530449707933054,0.9916585626576051,0.902898933963359,0.8337168301350636,0.7753997351308313,0.6457410808558272,0.6507066455074283,0.7293065565035861,0.7896799059822235,0.8898749862722958,1.0758608166490948,1.1398259813138767,0.9789155304247974,0.962798305855957,0.839245074866873,0.839376056073053,0.6536283111550739,0.5897266724287191,0.6328311989452837,0.7724440649258131,0.8429929502878214,0.8459282933844657,0.9347296962262679,0.9935984391983438,1.1144960106206705,1.1441517524076474,1.0733297992247455,1.0283299171826146,0.9622170390723324,0.9510887613340291,0.8212865489370547,0.7564131325244695,1.0075393596558404,1.0467560974442742,1.4234596458299908,1.121038349373583,0.9770250030096445,0.9918396077431445,0.8919366045420213,0.834226302787572,0.741729286930913,0.7198301397436362,0.6590427011653055,0.6963161355810655,0.6512438583499933,0.8355373716720208,1.111195810848913,0.88367007727703,0.6800457411981972,0.6753653449893484,0.6956882387799999,0.7382538867069737,0.8190309848430719,0.8828274497519671,0.9206258415417701,0.9805375076296526,1.137363351149372,1.4976597277078834,1.2855026821049675,1.6163924387708615,2.137272388909401,1.7401756461860478,1.359849179326641,1.2000668490418842,1.1100438502131424,1.10167083098112,1.0832640224055319,1.0073994069040928,0.9609414526834974,0.8611998314171749,0.950518848661506,1.04921194417747,1.1232628295885858,1.501693050847493,1.0638899551677976,1.2440458565816797,1.306789119696377,1.2546633319712484,1.3851658156344342,1.3784610159197153,1.7985265355684095,2.1805787407879555,1.919308136871723,2.1011816972520667,1.581711686731443,1.7026888741939528,1.4662011751198007,1.6646108786793676,1.803014863992079,1.4486676407570527,1.376351534230203,1.3775609929153998,1.2119766351700343,1.380354613863623,1.1892807324655754,1.0517171143022241,1.1780623301455915,1.2502695429052975,1.0418270739652082,1.0665241962309024,1.1659555825370853,1.1336360427547523,1.0897594694032284,1.1710169663083503,1.2049783958417086,1.1827257090335883,1.4132977329479595,1.4074207169731674,1.3767391891161875,1.4246900487165415,1.4824946381447408,1.3691112775453635,1.4485855075484555,1.8931255102873512,2.5026584172957493,2.107612320430141,1.8749519961328345,1.8396517129490015,1.9246600041068842,1.8375007172633862,2.2697910458619637,2.2181787617733777,1.863408137196747,2.0222078369795478,2.3742965384417536,2.1710988718234576,1.998625057175238,2.3328723463437053,2.5866510099929694,2.1053592037331006,1.994223828045383,1.6183197761704335,1.5381956737804354,1.7560444654987208,1.5814420284721515,1.589415360763801,1.590675770375316,1.5242281483756708,1.4196519852344318,1.4549705118010305,1.3040195685146272,1.2346645748652372,1.182351857794035,1.1398202519112794,1.062405805583452,1.0494513824511127,1.217361599687341,1.153447263864636,1.2106754282996721,1.2255705345684704,1.2974441536570964,1.3048565530655154,1.4012566122837637,1.410374401417115,1.6937880487314518,1.5474813692158649,1.3610592071167067,1.6026605531265599,1.6996947190892993,1.519974816188558,1.5419094006849845,1.9477153835998129,1.8779211031103624,1.5550523766064526,1.893348735436368,2.187721762947024,2.0889900531756505,1.8061115636945702,1.3661711578667817,2.2111471574201893,1.642152598240922,1.67262655808715,1.434099853697596,1.2182700681453842,1.3101224310681145,1.7236238849818097,1.2877331914377959,1.1539720386699477,0.9126544750536296,1.6064480822297804,1.0740447798674382,1.0871097998790882,0.8363128407052093,1.079691406750203,0.9723258919383099,1.091070487079104,0.8878609667024883,0.8271583082889201,1.068436895316077,0.9055802405733154,0.749657083086556,0.7321561666582344,0.8992993485543348,0.7716621604424942,0.8722586828917523,1.1761533194304437,1.613741675952063],[1.9049983345497636,1.362953577511302,1.4956515697553319,1.3626392548487338,1.2877841910731453,1.4940212339524246,1.5574644483517346,1.5399060051288453,1.6972310712638599,1.7818611756487737,1.8389068132865816,1.7549293064951306,1.7932046899284135,1.8886601844013144,1.88264405675853,1.8530292790921092,1.9250667043541407,1.9911724220174223,2.18994889813602,2.0567150573013855,2.1934628420570017,2.2458414199115118,2.400747307356431,2.442750755337397,2.2607596339847507,2.2040628434917973,2.023650792929338,1.9548382735507857,1.9064714187305791,1.8035655707824785,1.928862117183773,1.7791047997262261,1.8388653904229446,1.8651010197038422,1.8373583496972157,1.907717048573609,1.7350608321771894,1.8211594937488806,1.8548298798328882,1.9263495518115679,1.9698038508800089,2.0453778133465255,2.047132195991329,2.2992141139031523,2.493629980795672,2.869982341864204,3.533593760590641,2.969997133411057,2.9390886197360606,3.8435887170025973,3.925012462763559,3.9228816819786525,3.2080690203352438,3.0311475121608384,2.7187802155849816,2.641055410285226,2.5616959399838346,2.6090109748891033,2.3705836554208197,2.815653691824467,2.249633703238169,2.1013797696416163,2.0487809652744517,2.276645040926515,2.186249397816072,2.068397429723768,2.1938915886230097,2.1040496429821283,2.216742864139671,2.173192942448776,2.4235727168784247,2.715213468443263,2.364753455345046,2.521204816527275,2.1575342469043735,2.211558068612667,2.0888829939635642,2.034800469125325,1.9977567659268947,2.011509792016421,1.8856983138090244,2.0804940393605347,1.814546801132116,2.0583271155611205,1.912198055378757,1.7916257378261973,1.8950868631626572,1.8200653874960102,1.9451534179938719,1.9502856479441284,1.9987755968346235,2.1535314420983833,2.0943682168884408,1.948295430710244,1.934449903616148,1.9862759511829635,2.0359936530284153,1.8300463940831282,1.7264142708781443,1.6414213252561252,1.6732012233639832,1.572900202628183,1.608309774798007,1.505415078215819,1.6933195261216425,1.5173567804490238,1.4890510652323605,1.516648117462809,1.4455035100275366,1.4186788523464215,1.3745853228497549,1.4642366153561266,1.5276935512157765,1.6277068817668097,1.789056955418784,1.8723225037521116,2.0111591429161493,2.0480342746138653,2.2590966786740108,2.11587315967427,2.1704646000591343,2.0591185031962693,2.0454523500940227,1.849177860027956,1.7509325903230193,1.6063935937166554,1.4453465363768716,1.4565632310803842,1.3749788805710275,1.4576983475269558,1.4651062341258245,1.5935358210480342,1.7075653271027267,1.6457910697535358,1.587755334158672,1.4952428345630544,1.4616702583080876,1.5601315586615516,1.7339283943970853,1.711170716383472,1.9189686266390245,2.1012643534885815,2.011341454383347,1.8714562702911293,1.8676223440888027,1.7989038838900362,1.7594429836832337,1.6899495341797954,1.5814236292973056,1.5765862925269152,1.4602858142644062,1.5307498019899002,1.5196736316984505,1.7329338113174673,1.6541498843755245,1.5716663710945828,1.6006993118432342,1.508491869432315,1.6080427291594819,1.5259401584968106,1.6007580413253044,1.6921510446801789,1.731967009352042,1.7801514650080232,2.005483304451397,1.853008097214242,2.087182220618088,2.503060699797197,2.1374475054257767,1.7484455613727479,1.6998249426431014,1.645926765283329,1.673793818897314,1.6706885480877502,1.6541560711862027,1.6045864407180683,1.64038841916683,1.605258558347151,1.6743033186180871,1.7020738539227704,2.019409108436032,1.6254601692499353,1.8249265287601688,1.9166206665663714,1.8306915960413337,1.9331974918087143,1.9262467558068601,2.269143333598334,2.45498918686104,2.329273740838442,2.4758866789175085,2.0527941830910095,2.189400681286906,1.9825249317936342,2.2141943894395677,2.3426174174266086,1.9338301468831736,1.7836786575487267,1.6918355489032444,1.5520348726292719,1.68155043534635,1.5240970257262305,1.3854597049935338,1.4435076749721234,1.5295663669227062,1.2944727491209798,1.276339844068796,1.4157394143044975,1.3876846709026298,1.2656775276997136,1.351737639334567,1.4071649193498486,1.332148063180063,1.5330369374879405,1.5859162240896982,1.6021431537897806,1.6303252274313897,1.7084873836209775,1.6172187598650056,1.7101313321152327,2.2630620117207356,2.542212288623214,2.578170996910332,2.2370816928829202,2.173904633051201,2.3313929012501085,2.1697084292617994,2.703791268597537,2.563751578233845,2.1238490493759525,2.4224228776132883,2.7738314740709176,2.48301166017185,2.30623313371554,2.662171991120561,2.871270649540627,2.401654214760236,2.2259109099161054,1.8974141194905993,1.9446295406040977,2.112302611680799,1.9133010828298858,1.9663064484578885,1.9683921543104108,1.8610510701200753,1.7634129012302104,1.794779980575539,1.6514195450593507,1.5564924137753853,1.480438981478481,1.4329338248591785,1.3069682047787758,1.2818308421467501,1.4949667396507769,1.3882944381731286,1.3192075068741533,1.4199100222947945,1.5317885986888382,1.5663562352014058,1.6977396962160363,1.7269735855959398,2.114709818016369,1.859855168198232,1.6548932900164965,1.9264721373901244,2.011929945552198,1.8191914839322525,1.8318163006139765,2.241929254696571,2.162335594989889,1.8147960519157924,2.1213001573586716,2.462199037872999,2.2902215720582966,2.0131960761593253,1.5805215331914695,2.404382321768209,1.877625105209902,1.984255634942198,1.611627174764647,1.4089003853431026,1.4099329897395536,1.7624624998386638,1.412707880084017,1.36124600112492,1.1970411740419336,1.7024368218603465,1.3643347411841784,1.421721079550152,1.3040614491856848,1.2942277063399064,1.3651489784674535,1.406347165247506,1.379385271991156,1.388395251393718,1.4821507395334548,1.4365045366451614,1.4767135998574004,1.3845509874292006,1.4155819674124575,1.4253990505332936,1.5558422972548698,1.874453816636224,2.2050379936140194],[1.8078270091258195,1.2480285375961648,1.3665165303508664,0.9745533552851274,0.9678553104411043,0.9937572760437643,0.9088167269152196,0.928883868409376,0.9154750006028424,0.8980119684228364,0.9033835128574247,0.917597651121267,0.9576598184436105,0.9259182781404048,1.021357630711761,1.0420942832006932,1.1241087109361536,1.236677755670072,1.417428125051409,1.44783792263478,1.5893483871004344,1.706512924185691,1.8636488199477557,1.9187074400526685,1.7941991836862432,1.5859477117373186,1.4872497865767218,1.314564957180539,1.236591547674478,1.1253835939563372,1.1510331570073733,1.0879865879686414,1.1035769313355424,1.2110186691375537,1.1996086487994209,1.2661115082881729,1.1978518611893385,1.4263239883127024,1.4841745866325036,1.7108800578374304,1.6395449843603553,1.6380204397620646,1.838836026647145,2.3455551030306636,2.770662315401621,3.2583329104564935,4.066129375103108,3.218984091992765,3.060580549497391,4.054060288411033,4.0890649512958355,4.094713854534546,3.32729532215592,2.9038221957873684,2.3345365399567806,2.726238726631464,2.7424339602722902,2.2177688950793173,2.2425034671828405,3.1953172293698495,2.369746478678863,1.9883808763306394,1.6818342933407318,1.7213628968108543,1.8585415145726403,1.65006073980772,1.6129606832369807,1.4313949445921261,1.4822723333768562,1.327995761123036,1.5441116718045116,1.8445993330358874,1.497965065981306,1.824658883198946,1.404001476961661,1.5699709126832404,1.530832470627762,1.4687433367180485,1.5120455319093715,1.6218862596124137,1.478065744006021,1.9051234826162065,1.5263511394524458,1.6035361161069532,1.6137549993313844,1.427235749197512,1.4714558533410254,1.3386252542594042,1.4082438256039822,1.3408169974487592,1.337806606385587,1.4394988666750117,1.3536982655301617,1.1290128333781428,1.0766325360278766,1.0894897621684776,1.1152032088178443,1.060904442779418,0.9844580635597528,0.9819464637996311,1.0475460403576513,1.0925437146918269,1.106887534775999,1.0759363583767663,1.4473492681127431,1.1772765088876023,1.2497449388157502,1.3071417865203436,1.2044769097570993,1.1391490861543458,1.0670305732102237,1.0571798886986072,0.9323943776603699,0.9934707165404316,0.9984996087573704,1.0802680095403312,1.2069293753479662,1.3664614435848699,1.4584554865970554,1.2912396047198493,1.2376471797313193,1.1034109979329907,1.0950978976077181,0.9150789311028515,0.8776127148161386,0.9644197824091378,1.055066123016065,1.1070244863235752,1.1077507989281041,1.2281522207374236,1.2699401763150513,1.3798460083831339,1.5051374237845458,1.4335978639355345,1.4089891197883369,1.3207235507443602,1.2700231545809173,1.1953214160894134,1.1344532273323955,1.4078984107175643,1.4303172768397956,1.8391236528639237,1.5202866943559623,1.3770095673515508,1.4115666731300132,1.2796618999328047,1.2051768150456084,1.0924479359921069,1.0396803169158504,0.9455190370557436,0.9844045247007526,0.9494058568634293,1.0555385768443284,1.2478798554437696,1.0871721077953609,0.9784539260886659,0.9615713090901473,0.9856956230369326,1.0234169363669319,1.1105605615942724,1.2311374048821366,1.3094341939746201,1.4046218550135954,1.5897165794108132,2.0048548241380444,1.770849464279951,2.1443694165707865,2.703757756551943,2.2455533137504724,1.8286632370433138,1.6613424815471012,1.5386174023834611,1.5392578119834879,1.5144521791713628,1.421391078407568,1.3288274955986359,1.2023504937210567,1.3184496583422114,1.4742416481007747,1.5418555751486218,1.9840996986575772,1.4221165839365189,1.669905942154064,1.8101578800425695,1.7529712743546215,1.9486254453629726,1.913164235156904,2.4446643668335137,2.7977257738782044,2.5341073095898956,2.711546776915449,2.176562907550695,2.2338541045554057,1.9279546733241446,2.1195483839696765,2.1261482638290503,1.666282044909362,1.5569115786210308,1.524366431614128,1.3892740461267805,1.5510939832232453,1.3711433113771732,1.2382925663413662,1.3566854939680444,1.437341100638443,1.2253806366245619,1.2613323903569922,1.3735849155935238,1.3424139491878238,1.280516532852245,1.3926580564260471,1.437497335395776,1.3872632442323907,1.6300778479234697,1.595240252259753,1.5454495377059319,1.730539340934993,1.7811213288939893,1.6220266867031212,1.7019494632332701,2.0973291284236986,2.789949225535219,2.3258508762962737,2.054320007691874,1.9878257338893162,2.094001083328386,1.9854297635658145,2.411337996515912,2.335421938988019,2.0018542861076156,2.151710754108151,2.48958512255229,2.2743313699180496,2.117480593359058,2.4344248185464266,2.6669713030118656,2.17406749232252,2.118014531301413,1.7403929444791704,1.6907895971256264,1.9080010400455016,1.7493492378333406,1.7330828166576278,1.7298291308452818,1.6795254391632393,1.5813570706459077,1.627841858106008,1.4800056806305897,1.4312058561325782,1.3779710250347903,1.3357129106684074,1.2395985777746426,1.2397622895099047,1.4144493680434207,1.3488895614732053,1.3711837427743228,1.4466295933191984,1.5341961779626287,1.528898057338432,1.5951828176923801,1.5792643963548179,1.8726903001849007,1.751545093504829,1.5579756238577303,1.7750438837898523,1.8759353584484777,1.706828731346324,1.7081702911929757,2.1099960257741777,2.052172202112815,1.7516350750623557,2.031144640023715,2.3718873800757674,2.291433838523281,2.0287430581914934,1.620333971169899,2.381208697914672,1.8267384463388725,1.887346979255536,1.5649334632629308,1.3971064258806865,1.3914209801380821,1.6808651139502617,1.3691041533697832,1.3160254660811432,1.100180557399077,1.7334492260449117,1.2288253195113379,1.2718883559676935,1.0610674468438148,1.219841718863982,1.2167439280291075,1.3508007552648742,1.1401064045927334,1.1280880737553196,1.409397312923944,1.2687954702752953,1.0692364185545193,1.1479372345223458,1.2660079005586162,1.1763127347334557,1.222416743276142,1.4302741039181106,1.834558636670175],[2.3135202949363953,1.8027479695683926,1.317143480530306,1.0364407923532684,1.2553691946822498,1.1703970800257275,1.3066725205645142,1.313236733839638,1.363175808943871,1.5378393293751154,1.5680575350448345,1.576411168502648,1.690419745179612,1.6959219117297908,1.8312783023116828,1.8386496430103316,1.8984439830503703,2.0401472342002624,2.1899900487399666,2.2048424286637327,2.287091436195265,2.2701216213106945,2.4214496581268876,2.473598332615925,2.405732643182977,2.2804856080771803,2.198720492517903,2.0713575561958173,1.999049522501345,1.870792637297964,1.9758690330775222,1.8043966377248537,1.8172804304365735,1.982687090674288,1.9361608885336274,2.017856492768498,1.9439064304267901,2.163477156086814,2.1609625492623064,2.2706515631718607,2.201017930372814,2.2561785131962164,2.4508592145975143,3.058070479906152,3.5039658000374834,4.0225779816373946,4.781832429358426,3.8539612796543548,3.694232842439996,4.564911868456032,4.526889147155838,4.694048555498239,3.8682000274895327,3.425972620216514,2.585226153870224,3.3041430128133475,3.4132519787152513,2.6129940642754006,2.795918619936863,3.917919441940641,3.114783094535265,2.7222479348924815,2.4232594753923333,2.3887096081162995,2.5298977058115137,2.36729124247499,2.3502490529339077,2.2145026655603277,2.3049846474435864,2.1000181101529183,2.2607256425188087,2.507880111790405,2.2590797951138257,2.5058337703547062,2.1847491213592716,2.3148878660445438,2.3116139988320965,2.249452139063763,2.246548157700364,2.304906797392321,2.1171467024240203,2.466187111482408,2.103021799229581,1.956832729002074,2.138325140057849,2.0685655550493776,2.122847098010634,2.0339323704277446,2.157679040600539,2.083813597649602,2.1372771095014933,2.23678455986311,2.176759089097062,1.9666245318628066,1.868549600103721,1.856946742883298,1.7752827507667595,1.7535247398041665,1.6562080527623055,1.5250313886134548,1.6944567406997078,1.6134184911375813,1.736667922713219,1.5825666273768355,1.952569632334468,1.581473509172856,1.5937362261971033,1.6356660819790196,1.4818621713953553,1.5129368502961518,1.4380265213383732,1.5461870899778123,1.4606613098466854,1.6091762787568131,1.7662946999082048,1.8554728772707738,1.9457629000076941,2.1920690754377627,2.2055327030257987,2.0711815664645203,2.038565686248954,1.8748083308324037,1.8829840546410062,1.7140255181581237,1.5405165315113623,1.5941061937409637,1.4168123521118623,1.599905401963665,1.5386809386241826,1.7141827271147085,1.613817008634001,1.667615943048998,1.9235400444185724,1.893423285364274,1.9273517977385022,2.008580241477596,1.8918334848276512,1.8172328649453122,1.7764002167482889,2.2696555474123294,2.2954924823183696,2.557695855099474,2.2711648194277063,2.1125891940682417,2.0982275592604607,2.0131520808916767,1.9327325282867485,1.7709033766294648,1.668286566455543,1.5517830223284652,1.4521630133643593,1.382553577526971,1.3867974076077936,1.5362174239340705,1.566901086939127,1.4454192734154907,1.5639452076129725,1.5344960315636,1.6921866771965548,1.6903662085580398,1.863678732665331,2.008412817580705,2.114126640885948,2.257277369820882,2.6874985235644466,2.4100203066188226,2.7396533601383894,3.259241750224545,2.805236709647689,2.5088751754235568,2.280130072068915,2.2420882517495144,2.196262327569645,2.166842831157585,2.076465574450393,1.9491807096580658,1.8601524345422422,1.9441946451555163,2.103477830671172,2.1392980964353034,2.664914547372476,1.9781980959635193,2.178908475350205,2.2699418400978995,2.260853127508268,2.4721758585244045,2.561914010945257,2.970885958809117,3.3718273190833727,2.997968119338218,3.079037275684821,2.61401826286397,2.639605617574904,2.3394575049103965,2.408321039575512,2.3225547032839553,1.7990092406973988,1.6655732776224648,1.5642032476765733,1.458071973136472,1.4991244658110676,1.400730957350685,1.3721174589314964,1.3621835939237947,1.4008824770498518,1.371241582052538,1.3848649249935037,1.4233863936105384,1.4328480518430529,1.5495706848259563,1.5535347648837416,1.564192218406008,1.6518209568130124,1.8177285943764112,1.804356703911554,1.7721247277896877,1.7129567181458094,1.6271025463850348,1.5280401794276728,1.5680659030336754,1.9526011711315407,2.448270450848526,2.1327816840713916,1.8593443412707753,1.7876521001259527,1.866151653637049,1.7643246319039945,2.1779452674696604,2.079942083288986,1.7939101013760228,2.0039761899397535,2.2868686438796693,2.097216430175382,1.9661000238934319,2.2511637738146715,2.517030206635344,2.0515926026097926,1.9966104886767795,1.6736543295815727,1.698640436215882,1.777200688663159,1.6359373233372292,1.6340176534792548,1.613861791196807,1.5734362015306733,1.5016647296773915,1.5161923742761196,1.4400264431916288,1.4492274429886967,1.373289174754735,1.3765894522838908,1.4048837746608518,1.4225094906276172,1.458984598994247,1.4702797908719798,1.6306293611909912,1.5451083954362388,1.5453398732454262,1.4927847264514977,1.4992486746166291,1.497832551873753,1.7181055654969786,1.5629853151433242,1.4895907383351386,1.6190251466420993,1.6727732839183247,1.5698311578468584,1.567056994835883,1.8769887693312384,1.84734765052419,1.5816054916251436,1.8567485498334353,2.1212717366050806,2.035856600087861,1.7873637122514212,1.4745882700431445,2.158991360122416,1.711113260568035,1.7796261515202527,1.7710489419473905,1.5332741844097733,1.8429140684163585,2.2058518499573383,1.6745960182503623,1.4661905860589655,1.3136668534080733,1.539413266533007,1.4144641935733555,1.3721536264501089,1.3941687263702331,1.5127758326264955,1.1911327258447018,1.185071273162767,1.1778301563123754,1.1258444645124985,1.0498789521915504,1.0200266175402577,1.160155829638662,0.9790170416640164,1.0851291465354378,1.0419630515580836,1.1203456464972295,1.2351771360841852,1.538074519985384],[2.045499478932523,1.5072610729417077,1.0678036640368498,0.5764297063821565,0.7279616103382125,0.6661695553134394,0.6092016606063911,0.6254517515558373,0.6028111752629509,0.6604862588178652,0.6807792975314714,0.7054017255645575,0.7429006390196087,0.748549085026689,0.8493135620092589,0.8358201988534348,0.9243879079997583,1.0319663410204323,1.2205046022798356,1.1984325605903279,1.3075674195300613,1.3597091058701443,1.5339807739382265,1.5985670862169545,1.451184020655142,1.3134490170528141,1.1930565184992201,1.0754712827111335,0.9982773442213727,0.8569075335442752,0.9688512076073701,0.8000826963956528,0.840246583171533,0.9730629387627622,0.9020341527859765,0.9985427611189079,0.8999216371013816,1.1283062921469535,1.120227854420511,1.251642418760254,1.249639549891661,1.2711651253624403,1.4202851555228146,1.959957786953715,2.453160527378477,3.0314408389040692,3.7321231428233315,2.763278886230561,2.679851475402008,3.6140990349160154,3.496945081504702,3.794001612756163,2.880939638438608,2.5455272139035268,1.9557297399728324,2.2237137473544086,2.339439701522697,1.8604797829384974,1.787521963803652,2.790496873977118,1.9962227527912257,1.6313376831045996,1.3616535441294733,1.4361744905413554,1.533899962269926,1.327339858218266,1.3679476393258536,1.2262286862183671,1.3505597853446176,1.1808158790382977,1.4057950610926104,1.7626404690356923,1.387930350308281,1.6474794323164237,1.2270228033993409,1.4481622380800843,1.3049903902957314,1.2249378482488078,1.2074716588791117,1.270431558093603,1.0703612420475737,1.4352171250679167,1.1296305602855123,1.1761946297016688,1.2036289565606728,1.023695408778422,1.087782352440369,1.0072169862353006,1.1188508714258236,1.0715666315842736,1.1274681598485226,1.2865568929296036,1.2136753377240723,0.969702896695751,0.8889957616886106,0.956954372121378,0.9286839340049092,0.8316065007707344,0.7461969923728001,0.7042340763647336,0.7452724241144975,0.8130021608696995,0.7654137590219847,0.7536988135096679,1.0426198533610394,0.8173253994472176,0.8980716116033355,0.949026697181769,0.8830519028568906,0.8147755149068281,0.7676899619012951,0.7449387912581963,0.6505767194786842,0.7028403083927767,0.7979527880061756,0.8859664377263622,0.9918280883634789,1.2360066217724348,1.2885155093326475,1.1131419105438711,1.097748362011964,0.9491265952301573,0.9664534875605969,0.7660339010674855,0.6567695950894428,0.6954638104360149,0.7532068035381779,0.8151081599641061,0.8073082663194732,0.9055185900461394,0.9356928827653008,1.0265157381416687,1.1147573281811254,1.032429865326845,1.0333511216933045,1.0698054816231066,1.0485027806924043,0.9115885406556578,0.8622010369800243,1.213018523870476,1.2865715436701586,1.6082079320174425,1.263193583270412,1.0924839521896201,1.0923810461775108,0.9896377136076494,0.9299983778151427,0.7945631344588547,0.7411766792596386,0.684121813336852,0.6838290908931927,0.6381234273378921,0.8216156012426614,1.0266045737246994,0.9105685831682188,0.6647696112112313,0.6776270858417979,0.6944546617543861,0.7427914960751235,0.77802965317928,0.9113226178723596,0.971419132000832,1.078149905527323,1.1951549217030764,1.5748046118555805,1.4362702680467108,1.7239925778191592,2.2936565829970004,1.9077039541138014,1.5949250057637792,1.3411385801635887,1.2556099369913036,1.1852168283979942,1.1392709070534808,1.040916616846027,0.9408835230407373,0.8691821561264125,0.9132952303804448,1.067163033303003,1.0844040904340269,1.572144774792668,1.0218240438569883,1.2338740193701778,1.3137788785526607,1.2740993843166104,1.4451565998105242,1.4810674883759225,1.9070431334968254,2.376321049220948,2.0518191458918014,2.216746809246884,1.6482877877195363,1.7630107792320358,1.535274035837273,1.6584148031102932,1.7498380189080618,1.3166650690627977,1.234357013184313,1.2279623572452505,1.0708500898126114,1.219992423276265,1.0349279891217251,0.9510879873981395,1.087683091771427,1.1550257598415237,1.072896234353537,1.144848583214748,1.226719877826273,1.2264685914731035,1.336823931954093,1.4124595377867528,1.4510021117595504,1.5201509413200835,1.73585687407656,1.7221643429972588,1.653181386871374,1.6817980534243626,1.5954999619155528,1.4437314425258705,1.5041361334397787,1.7953634268411451,2.4653672896194845,1.9984290331821954,1.7766933283708943,1.675256253991147,1.6708652149977676,1.57306104764248,1.9570718684521586,1.9132765235107494,1.6476857778829883,1.7664952026534544,2.0912666331298992,1.9441587085265335,1.773187986543396,2.083433236294024,2.4138202501336874,1.907488620531879,1.835113713266764,1.461158637647468,1.3350939919519025,1.499325383187514,1.3689216168880536,1.3177182072525353,1.308360382836235,1.2376058098146334,1.177156674390271,1.220489384834048,1.0919761307001363,1.1089321386860957,1.0737889578151512,1.095583871015306,1.1256286292229836,1.166231845795585,1.2455917491119506,1.2736991588042335,1.4835319291537832,1.404839415713848,1.427545093273514,1.3701090589398794,1.3431049760904483,1.2839823794617926,1.482724401408213,1.4397406095025354,1.3216727583717716,1.4312167275876624,1.5447665950622107,1.4537924900764538,1.4196573696674306,1.7590000986309475,1.7836914240601218,1.4946743194775751,1.7713021986665256,2.052626038633627,2.0097637119344105,1.7635660113129565,1.3983335739753895,2.1165528507992875,1.6493949899174758,1.7095149721734522,1.645106375680069,1.3827092191667754,1.6021715881615122,1.9254916213551836,1.4212071963548711,1.2699151916021416,1.0442750485284968,1.5716062791266758,1.059785133266404,0.9879472088689434,0.8040690613838729,1.136880536143158,0.9256490059699701,1.0594150325514355,0.7913849687425667,0.7851190411201779,1.039659750466131,0.8572556376065359,0.713717587319171,0.7562519133931427,0.9080562601356057,0.7805487306249742,0.8587061797761132,1.080784708926361,1.3862694025103672],[1.8813075740477794,1.388847860067569,1.0420164255165318,0.6490506781299721,0.7231220993077228,0.7266377184019429,0.6307577257905943,0.6469018418581393,0.6525124942439744,0.6614238325435189,0.695739660893087,0.7010620741059196,0.6982328524359237,0.713629643243409,0.7888302497109679,0.7746827795189053,0.8660019068218324,0.9815827149928057,1.2005228370504248,1.1601871117283231,1.2915426671587888,1.3518908255397597,1.5308536350592763,1.6113801445296356,1.4405313098332997,1.3036778047505708,1.1614125838176406,1.0453695076355718,0.9531251282965422,0.8004190186189533,0.9123479021416655,0.7546066098150073,0.7820198258452828,0.893010973720112,0.8369096220696121,0.934368010814718,0.8154594727332849,1.0581582946820012,1.0775057408828026,1.2001321876415607,1.2301427861932235,1.2467412466019265,1.3737564616663696,1.918769294833405,2.45761898158643,3.0671687987652976,3.761950953858368,2.721974057091052,2.638156132848564,3.5867025670553767,3.4024078355605143,3.7722062500855635,2.8389657767560137,2.4649938665133777,1.89002731773969,2.1360428871066857,2.2583529821957424,1.7714522771908778,1.7028045104544962,2.780314746517089,1.9530715538315648,1.5709002767825313,1.3040365228479138,1.448724413001631,1.4893749763328616,1.2821700539482432,1.324038235913479,1.1949346563175172,1.3094310859327511,1.1535282881230122,1.3483007648851515,1.7069141970564568,1.3554465549427732,1.6147013888949429,1.1841840753645247,1.417762723801803,1.2543107414186005,1.1675210518631831,1.147710555926925,1.217156524323265,1.0229985080348025,1.3824630268775153,1.0627794221709181,1.1719304306096054,1.1725754636816421,0.9550652973487976,1.0504604916538487,0.9533351145901967,1.0539075619996312,1.0017177270566073,1.0630655698373206,1.2546801356905424,1.1752241054067274,0.9168535076252831,0.8469838467280961,0.9368197495303835,0.9198775309331929,0.7954804240819968,0.7211809133223563,0.6859143427167322,0.689940929732326,0.7363327280466284,0.6848628309917179,0.6666118958021615,0.8886907434372935,0.7381534044269231,0.7939961515124523,0.8307777385885837,0.7786828764476841,0.7194743949552035,0.6901119359458481,0.6826608026013484,0.615169713167937,0.6467013597492492,0.729696052908427,0.8268233269661057,0.9586011047720436,1.185879362639035,1.2788415036424112,1.0788597191745775,1.0534571364318828,0.8958132592443164,0.9057538488620757,0.7053401355389103,0.6383738854276085,0.6553879535058486,0.6939551211850875,0.7094664498561629,0.7055776573749211,0.7865175184897581,0.8247066081926121,0.9067963016872559,0.9889805465088293,0.890333919908852,0.9121710120436475,0.9443165231396474,0.934548314677593,0.8351826898527577,0.8299248553458584,1.1461020349036293,1.288270683952904,1.6089006244542075,1.2516782879828376,1.0632408621208054,1.0694622639703983,0.9483632854431551,0.876589978353611,0.7360669094294172,0.6665989498711755,0.6481875524231895,0.6407223504042758,0.6390663470085317,0.813429364510038,0.9883393970697867,0.8852340869319404,0.6638652658517442,0.637869782981769,0.6398833594872316,0.6658858522305161,0.7032682591593327,0.8163734960043747,0.8793857600295296,1.008217516434557,1.0989203066499595,1.4621518278556183,1.3879112036326724,1.6390983993275212,2.248869997361638,1.849459150973684,1.5306865105964371,1.2419064749691633,1.1476725242207295,1.0632537513278189,1.0071330830421423,0.9094499248337399,0.7996733773212595,0.7729047818488359,0.7740208213062071,0.9392082076313176,0.9329590576051054,1.4627539930761753,0.8771086687342189,1.0863701085677269,1.192061102346508,1.1556480246701277,1.3475679260421376,1.3881762053566735,1.8342968590102204,2.351796741161422,1.9956959741869278,2.159048127813901,1.553685525731456,1.6729712388705953,1.4457293186904212,1.5733104457803877,1.6828709136613,1.232546364248471,1.1461138196641214,1.1446329911332618,0.9914214615753105,1.1326919812567744,0.939502324917858,0.8553835978554476,1.0058919939461357,1.071767530431968,0.9907736241731322,1.057440619490047,1.15232950575116,1.156261544697172,1.2742423865888846,1.3593679511596266,1.4150534255438438,1.4919162345761514,1.690572496507432,1.6958836894316163,1.5846189214192197,1.6935133184538833,1.5652493187373413,1.3969524502818136,1.4759016082672045,1.6731209138298788,2.5024307345732995,1.9125672894811,1.7473343521842808,1.6233306104279894,1.5823927166150702,1.4816838679129518,1.8351213160446145,1.822747440254975,1.5620573816074197,1.6622353170961601,2.016690425489219,1.8661609217514574,1.6944131659165949,2.0183065409933647,2.3552509798813075,1.8341359104650752,1.7801796010689053,1.3882424438536949,1.2327424073191346,1.3996114066976226,1.2660670667280935,1.2136602790577566,1.2013185903723334,1.149359906032045,1.0839043447636072,1.114055331450661,0.9860882513888104,1.016288624466095,0.9851677106482831,1.0172797742243687,1.0588081893782055,1.10297560941085,1.1781450671603206,1.2333738538954477,1.4608349563272844,1.370545493290226,1.3953023907461441,1.3255651006819857,1.2742150371778678,1.1867285915281598,1.3701494463544877,1.3808724958299206,1.2490086906730584,1.3418475687075522,1.470595933634198,1.38621279151259,1.3423799850440319,1.6923111814060325,1.7233153169752502,1.4401977279769922,1.7216894362976012,1.9950935950989594,1.971617339070407,1.7221407003791094,1.3772490245290803,2.0543778539348287,1.584958946321057,1.6502209415536468,1.5501337366215724,1.3024918691581164,1.5108729113478994,1.7710935677164172,1.2831551152966214,1.1755235006940996,1.049288471943437,1.5758076668283538,0.9774980357124722,0.9099343748154751,0.7302987378929905,1.03755617157915,0.9669658206221122,1.1287174319769528,0.8199184830272261,0.8556172826984207,1.1815574629792782,0.9792284539425433,0.7814743692477453,0.9202109770631248,0.9837540344094803,0.9016925435892182,0.9656561653690685,1.176819622160299,1.444459345205526],[1.8958715880077641,1.4695774490812532,1.039370283272477,0.7819381517588498,0.8593420547489735,0.8467191454939827,0.7381129910698425,0.7605455661110256,0.7633713548076678,0.7204934032941162,0.7430483169955235,0.7518233871910327,0.742326178936518,0.7403669563527593,0.7982073961069603,0.7826230254874246,0.8693978863967394,0.9562720488383789,1.144256883219202,1.104424868299445,1.2214763471012606,1.3092361925552705,1.449437929481544,1.5383219024535668,1.3731320759427081,1.2458441781583416,1.1211095456189277,1.0217032894488196,0.9409334453540031,0.8137829823339264,0.8944779601031482,0.7885177768712442,0.812687732977849,0.8741723050287041,0.8340287523239999,0.9051663411893518,0.8255289037082408,1.0287348862813486,1.0442134608422342,1.1701456299948312,1.2141316248671836,1.2139023218537643,1.3152203725378346,1.8310796680658665,2.385105054297438,3.0423234036396494,3.653053272505749,2.5837644022245394,2.558028949102977,3.4626073452390784,3.1986136430968144,3.713960419997693,2.745021048059551,2.4123469275759137,1.9502938049735163,1.9687293853601961,2.1151523157148295,1.769813683948198,1.63303329940461,2.5776527112480463,1.8185895105185501,1.452163632373852,1.2192269892733458,1.3663159682795436,1.3813703473384193,1.1905954345974683,1.2394046294209906,1.1358090211796499,1.2493902874989407,1.1033106721998212,1.302874164491444,1.6509100502150684,1.3141625296396524,1.5426398732755546,1.1302319214418661,1.3460783267331047,1.1721243781338448,1.0972451189438273,1.0794824272022512,1.1447500449058188,0.9899403872611239,1.34272915524815,1.0317326071741946,1.1573889097987708,1.1522081546780334,0.9329391967151288,1.020302733734443,0.9421255066179292,1.002311838713178,0.9580535328273998,1.0101493161045711,1.1996048747072385,1.1478678609342217,0.9137652378547779,0.8577042699524619,0.9530832917914167,0.923169491764907,0.794503871810097,0.7436335044966215,0.741994399225976,0.7357723889993405,0.8149403330846495,0.7425907298075316,0.7461451242146122,0.8393435020406265,0.780612734191284,0.7969182368680097,0.8197129530217873,0.8093182332368297,0.7485225159877366,0.7444814204846584,0.7250922688942809,0.701829304730639,0.6939850312493987,0.74961554638691,0.8180816141223608,0.950734595861506,1.1274339088069842,1.2206907865047076,1.0467139280348472,1.0416192405066915,0.9099662565127252,0.907913632400878,0.7272865785698306,0.6786220791942381,0.7120097474240633,0.7682756198426548,0.7362316677640163,0.7338493286893494,0.765527200334853,0.7972458097824704,0.8529230352279622,0.9042066105280547,0.8088673675071136,0.8444565903529224,0.900161456474043,0.8781504533447794,0.8157046693647898,0.8367281674500884,1.0957666767273677,1.265676106808709,1.549482141347344,1.2004879311483798,1.0348708546956504,1.0378215893360896,0.9344094924143104,0.8743978141538156,0.7577033481488663,0.6897394265251905,0.7227007194116251,0.7296741741074554,0.7332741459547428,0.8915975382218678,1.0782552776101786,0.984863262885757,0.7633362344982605,0.7107878328718572,0.7205764176184928,0.7172629442864213,0.7380093436747673,0.8082154739181364,0.848447400223652,0.9593772976188097,1.0250214919913643,1.305091791020154,1.2975523626408987,1.5139118007861574,2.1242000693625047,1.7609035787967182,1.4920657503693584,1.1744098273367203,1.0849161868310628,0.9853049377469952,0.9326803786041362,0.8524369480308365,0.7580715693919309,0.7884838762736582,0.7674284342649647,0.8877465709344726,0.8480749858316531,1.3316297130856334,0.8123884080628393,0.950111407683841,1.050752768707766,1.031137933455558,1.2151294162212363,1.2811389890429623,1.6591683465199196,2.2170377591323134,1.8365123059809398,2.0119738294523275,1.4310398237560433,1.5621551722053326,1.3439685336032878,1.3876603465147768,1.5337138384521036,1.120708410262135,1.0921528066060053,1.1279835720406184,1.0005079177721978,1.1211301640941587,0.9542788912850114,0.8968923933245517,1.0423276169602944,1.1006312848749005,1.0720746006730273,1.1325200515540612,1.2221281999129987,1.237652657076501,1.379374287422824,1.4502348176415492,1.5087341205740665,1.6099874425359522,1.7540429353301679,1.787122255069221,1.6358193171348006,1.7655345091603145,1.5930885001548134,1.4361363712161472,1.5111215795844262,1.5732299483195307,2.431794617489701,1.8230684032412907,1.764688503036076,1.5849184931359535,1.4898037011080918,1.4195950798667867,1.6879673368418944,1.7117845084959062,1.5021048195314404,1.5478552640260568,1.9080379446695679,1.7756328400510897,1.6224593358667987,1.9553038607028637,2.263331056915735,1.78512548816545,1.771611461666467,1.3633771795204448,1.159202979241353,1.3062957701065594,1.208419525907967,1.1588747184111194,1.1605673285595668,1.1565745718480072,1.0816607115104544,1.0804874309857802,1.0181621244730314,1.0767323490654555,1.0338105591650129,1.1035590888272004,1.1808545124968917,1.2132953656806165,1.2598414655600803,1.3531312960062158,1.5981166129352289,1.4805570281214475,1.482580892335073,1.394044556649949,1.3047343621138854,1.1942293740998124,1.3021519311386394,1.388580366768482,1.276744439902747,1.3146831685239773,1.440080992386997,1.3879903834374188,1.3317060256703348,1.6362812153402966,1.6993714610603372,1.4537030745294737,1.6844544199733826,1.9301902361363117,1.9538846927547706,1.7265844254526987,1.449352598305141,2.0967855994598295,1.6657998093478208,1.6578765529233899,1.5915887371646533,1.3662670797533367,1.5867977217174503,1.7805739648624508,1.3266839061010642,1.2669365377688893,1.2561237261915295,1.6587763177601538,1.0445344683349296,0.9492345498144978,0.8093668452360607,1.120846546555225,1.0597732556038717,1.2350607620743375,0.9316624201366144,0.9698052064036381,1.2987816676932622,1.081513000482781,0.8796277608757077,1.0692281426183636,1.084633808342916,1.0029195846403256,1.0753472727539304,1.288378730043067,1.4905810986606194],[1.9808416642344002,1.5278229698325285,1.0382047560595395,0.8024039229183353,0.8129785971137649,0.826993172277955,0.7189459776634036,0.7537435954737812,0.7862222963353639,0.7433946470564283,0.7909688347100383,0.778053696506667,0.768057068375013,0.8034924608777373,0.8584248824329496,0.8230351812461337,0.8891615680919903,0.9864539848998993,1.1813143367426233,1.112903366661106,1.2364773794976687,1.3088711077808057,1.4670759358988874,1.5558644316505867,1.3838022335485616,1.2630107042424736,1.124517616475308,1.0238774632032812,0.9509601266545102,0.809370643872139,0.929181861849846,0.7865472405190904,0.8246931807987583,0.8754744297543187,0.8340239863603697,0.9078084744665252,0.810902205385975,1.014508298037609,1.023797922724608,1.1466093994351212,1.1994597033065975,1.2082482545514854,1.3148646244105902,1.8251254355340627,2.389765171826585,3.01973382139075,3.6383015107199137,2.579460304857803,2.5289033646612773,3.4335044515541764,3.21061793504915,3.658533347509403,2.699992076552112,2.4006996123148583,1.9518068902249848,1.9550366493988216,2.1163779890543353,1.7768776342595924,1.6146433340339754,2.5491637888204055,1.8107514833354639,1.4438853624412582,1.2158626708407059,1.3752173209297194,1.3801282258989311,1.1832766136830053,1.2486878960159937,1.16162336016759,1.3094049769142342,1.1664000205914193,1.3743249555813661,1.7079697506017728,1.3940975130874909,1.6136171406546838,1.159828715406794,1.3691694445852416,1.1873680482954676,1.1060439623978309,1.0617945286037893,1.0958655107322264,0.9405900975411562,1.2970557953983488,0.9459247579515772,1.0867840110341793,1.0939643476167367,0.8760766743361752,0.9854084100162782,0.9128950578651537,0.9865267001599795,0.9723178631143605,1.040016708213811,1.2533633263358683,1.1928483391512008,0.9509580368788622,0.9044220559004004,1.0068478812884214,0.9677807515828126,0.8055900056454196,0.7601983828795205,0.7570297366381263,0.7080808982469887,0.7762442772565417,0.6852058819968715,0.7107165034235375,0.7884615687206662,0.7277731214786833,0.7717552152543696,0.7930387776010919,0.7726454803259344,0.7089780089115091,0.7162349694307671,0.6620624647433687,0.6714165987077388,0.6584723750422181,0.7551766738033845,0.8222805233121026,0.9563918761431331,1.1708861943953761,1.2686304353568232,1.078527304649423,1.0837897561306302,0.9432787633607185,0.9428159372343587,0.751866018831156,0.6893729911820111,0.673504035990935,0.7278615543163944,0.6747137287392669,0.6775149355252766,0.7253741908395891,0.7416259688957018,0.8228143348924086,0.8877998536200868,0.7720138009688131,0.8149783484173325,0.8809738377560704,0.8840518111908618,0.8080391072708272,0.823886507539491,1.0840226348007602,1.2802530691201568,1.5522985450382019,1.199175326136746,1.0224037635611507,1.008583898014235,0.9166737006008113,0.8571719992261156,0.7430727137907966,0.663509581867062,0.684670560994976,0.6938456780041766,0.7306269366350319,0.8926621300587814,1.1393944799204239,0.984491084108328,0.7610858394980663,0.6896740022232409,0.6789452800740532,0.6773188102594838,0.6675115175527364,0.7569260037770511,0.8101447971767546,0.9261291471880367,0.9881145394659758,1.2942977972183587,1.2933566756687538,1.5184092683372472,2.146898983955905,1.7930267278635603,1.506463856372139,1.175273145892466,1.087434173222458,0.9621562558412471,0.9013731923553504,0.8066541823548574,0.7023891011388638,0.7384015320809106,0.7111960364297335,0.8199546876924656,0.801889175848867,1.2943387429872883,0.7721126690356149,0.9218463780569454,1.024300716935811,1.0082519263673329,1.1875907879661314,1.2649459277389712,1.6481668649290877,2.212785007799982,1.8248840647748439,2.005232237424626,1.4187299930511879,1.5628771873684988,1.3448340753366173,1.372851812789413,1.499078874354408,1.107784287551412,1.0533301127985324,1.088964860970554,0.9477229224384006,1.1087382931171228,0.9556132178973373,0.8847077635825424,1.0476422363473967,1.1393219405629473,1.1157966368836432,1.1655234366773775,1.2898549559718657,1.3363520844572088,1.4521120960504261,1.537245493967398,1.6253615143473796,1.7080781284361581,1.8502620156873981,1.908179777549487,1.7478081698910235,1.945690481304636,1.7070252506682886,1.5508024082266028,1.6487628842587205,1.7313937996537128,2.647156727094906,2.0255354333615454,1.8601049926640085,1.7005717347592633,1.5839339872979907,1.4738400569983559,1.718763009759287,1.755935839815758,1.5185066554306406,1.5472642934313918,1.9169828836811333,1.786583863167371,1.5992525872037748,1.8992476301801664,2.2471409369562587,1.7305132145812443,1.695787489150075,1.3399016918435638,1.1322590972638826,1.291057974710802,1.2250228348060614,1.1519475431750767,1.2007994097360697,1.1296799521822742,1.0701207362431886,1.1315409517437995,1.0465726259198003,1.0998205277945514,1.0953032405633782,1.1913746204426443,1.2558715591357559,1.3014941636910413,1.3814533141631,1.4874690832249546,1.7032721512260451,1.6168994315528218,1.637906012554353,1.5372527231749782,1.4295710245517523,1.2883390883618864,1.4000618043844153,1.5114082552012398,1.3764839115479668,1.3732397193699917,1.5314488481876831,1.481731845634013,1.368300500042785,1.6942815315477522,1.7737989409957367,1.4883634092492732,1.6906222887446023,1.9803612294565807,1.9946434261713015,1.740845042061669,1.4576903438389885,2.0019877267389194,1.6241466058080842,1.7459065642553258,1.6469464386687191,1.422369665412117,1.6549673196103194,1.8240026967739646,1.3454380433693944,1.23440851894652,1.1676372439750908,1.5787951982907127,1.020670916786557,0.892145980664421,0.7574383232465519,1.1161142278948,1.0394893276009554,1.2372588141024274,0.9437224109193642,0.9476019196894595,1.3031499149532602,1.1125111522925333,0.8827535655869345,1.103805895256965,1.1515541785440753,1.058928108115492,1.103247294150129,1.2477619250485832,1.4400410033403293],[1.9560228721842026,1.4331153400563414,1.0293597453441485,0.6593909528192614,0.7470660277977034,0.6902039660555885,0.5779970382807118,0.61269711202071,0.5704462929781345,0.5496005694017959,0.5561720114237836,0.5889451046761988,0.6092427241829849,0.5865948362592763,0.6479875320336744,0.6554377776063671,0.7697945748213474,0.8578828472135127,1.0718921741087808,1.0325159559636479,1.160948990133273,1.267806263502258,1.4199858003030745,1.5004254135891557,1.3210126470693546,1.1832287307916496,1.0634573827521308,0.9459148141659764,0.8530860812016856,0.6996193588224503,0.7740749571547683,0.6529720346956386,0.6883580608938449,0.7667821676400077,0.7291401299159852,0.823141428578724,0.7297325042398102,0.9862453200435775,0.9885059309473283,1.1431248688264217,1.1830749591921377,1.1625643446992775,1.2639508014593137,1.7082206597916332,2.2046154417857555,2.790739202795845,3.4298391194408913,2.4653239133909395,2.4239451429603993,3.342865736289382,3.201329032146236,3.520838854582044,2.620611390443662,2.331254158376328,1.9566767685240534,1.9386256003321685,2.0609312006826057,1.7704328456589258,1.6119237010030734,2.4846899125602215,1.7229491381294109,1.3704190251490909,1.1343601997279051,1.29323512107558,1.3332857098841018,1.1332678114686634,1.2030012938902652,1.045389082391839,1.1575702907306138,1.0119085784310302,1.23355432213311,1.5734708841281837,1.214105572734183,1.4721740738564257,1.0420643350679228,1.2982500830969061,1.0919083925316146,1.0075292261323465,1.0055554235792934,1.0928931282472691,0.9260612210861273,1.2912449276141715,0.9922085980393144,1.1518169736313995,1.0924795931861306,0.8906201744693659,0.9533548475402676,0.8391809727921917,0.9192533790035462,0.8873310589814368,0.9241391487489029,1.1099997028924127,1.0180975070297114,0.7576064385704294,0.7082729826497782,0.7988953249443037,0.795570510249611,0.6635370783412168,0.6035583808077397,0.6396566271731837,0.6226644471471634,0.7616385836901047,0.6554190172690422,0.738065659104385,0.9239052719513302,0.8381348706007632,0.899759675675772,0.9552746587586571,0.8899186309694502,0.7887944447360334,0.7635570453772771,0.7184674910459811,0.6198634016524888,0.6334922527579187,0.6542610021688277,0.7509558340616073,0.882210920868932,1.0877691313131823,1.1563780263475425,0.9622895575928372,0.9427725156717323,0.8019563915250499,0.8216976269875612,0.612276666379496,0.5651297829495796,0.6258239077677764,0.7230468121135737,0.7428772467866981,0.7899995706131149,0.8593516075145462,0.9236456821512631,1.028892851806852,1.0708386360921733,0.9581185456173086,0.9583623792694255,0.9572789847896119,0.9910124947759952,0.8815849785408559,0.8373868946825841,1.0289763702515353,1.1672503308415805,1.5004130833412663,1.1431513549751493,0.9834588098100202,0.9965473473927507,0.861618436708069,0.809710029849992,0.6747887563454216,0.6486499348084515,0.6223815295223772,0.6559468845122257,0.6180821940717733,0.8372835686350157,1.0143835123185074,0.8253445806904338,0.641110421148038,0.5763281108361914,0.6443139825096083,0.6148718179446475,0.6892364365003556,0.8025278101849772,0.8238065772609515,0.9444637167116248,1.0354381569391442,1.3657384853213528,1.3507692518956669,1.5622913849283675,2.1546308391960474,1.8332117035172668,1.515050068061523,1.2454975078093107,1.1286008285510831,1.0359228252843284,0.9745916097688966,0.8749649021267907,0.7900856487994229,0.7568438251791383,0.7490385981280994,0.8864972568963061,0.9176211655922325,1.3601280398893165,0.901696724603414,1.1093251719911523,1.1959492756072543,1.1299163846143199,1.2673711837637123,1.2825720140615529,1.695149050097793,2.1747605688864935,1.8797033176575573,2.0716806357491766,1.510421918713785,1.6664279912500624,1.4816655898060034,1.5419036520319929,1.6403979467675327,1.3404741434420988,1.2501271766773983,1.2473250607753528,1.0920091921157984,1.2708434682968304,1.0875210662040597,0.9880245196143377,1.1548279308213945,1.243735898413765,1.1467491888353798,1.1960951170337022,1.3351803012340586,1.3483487624483286,1.4070144653037262,1.509985465678203,1.5867000738571317,1.6320628288360204,1.823402336843423,1.8491605422787216,1.7344194651015203,1.9083704451246344,1.7485684036162823,1.59233053245928,1.6900754188565932,1.8740932189282076,2.7604218805588667,2.1092022162917643,1.9532723740113167,1.8358314087007384,1.7815023379024317,1.6633017098111214,1.9796085188554289,1.9856958421087694,1.714491426291698,1.7813965390368747,2.147084565025816,2.0019175339588204,1.810273531241606,2.087698189132127,2.4363047366459623,1.9226250826501337,1.862753777416741,1.5124222095351363,1.328215071152302,1.504561980814586,1.419941266076516,1.3390693641740812,1.3855752521984732,1.2652157993433006,1.2200149789691366,1.30157840092072,1.1533707461461693,1.155509263372417,1.16436235358447,1.203001643128779,1.214928600557428,1.2652932469408995,1.3866899593545206,1.4332205559150188,1.5945853044416953,1.570285165484116,1.620630165450679,1.5555691482303968,1.4969752160418626,1.3848618618388866,1.5631667853252516,1.6039289121773554,1.4516995202136747,1.5254988353786259,1.670601007286981,1.5868938663341732,1.5092513874614062,1.8707810829997567,1.8811169530292549,1.6027664365317522,1.856200241253472,2.146573566677422,2.1202429175994193,1.8627806558179976,1.5185985245244795,2.092270158728733,1.6686634203078274,1.7954973403934849,1.677787517933826,1.4466111970219857,1.6272781475533986,1.8689470272524547,1.3856696382059053,1.2650558807608894,1.0818713721664832,1.5954642367723773,1.078550814541858,1.0069261442350919,0.8271337058637518,1.1238862154454379,1.042560841372911,1.2011126609509644,0.8744229823651982,0.8597514271048237,1.1924992290722451,0.9941094938465524,0.7626663609482787,0.923682309227934,0.9982461463465746,0.8822594820771869,0.9675603560033453,1.11033069980882,1.3581523106005442],[1.8384872612506467,1.3470921936916178,1.0302347332053083,0.6606395821982317,0.7029889894762738,0.6653756221077876,0.5266515887046073,0.5597053168472906,0.5141470713932096,0.47660855771624927,0.48530740242565723,0.5244442063582144,0.5243384102998478,0.523632081370555,0.5968255266441422,0.5826381515119853,0.6771289052279058,0.7779445267108328,0.9767436434103159,0.9371395168033605,1.0500461067014564,1.1299993904742147,1.2853752391035547,1.3521281337723734,1.2145658199634473,1.0778607845691417,0.9482713879195717,0.8346147759960741,0.7420575671637362,0.5944453278213541,0.6963320910095763,0.5612331893223449,0.5982784346677869,0.6614626950884687,0.6105157473565022,0.7030944984385741,0.6184928665760577,0.8640797132670093,0.8496182810191132,1.0026329656383857,1.0449125780113477,1.0258131812373015,1.1408952887877648,1.6227421145366263,2.1634768192042135,2.7801204531579393,3.360039850766643,2.3547939983612833,2.3326475133754974,3.2024662949346463,3.0334756565307472,3.4527757242985992,2.4998603964011163,2.265216439218637,1.8909043198201685,1.7916584170011773,2.003021314043018,1.6792837306427981,1.5125729302917728,2.344860834080006,1.648026294514731,1.2807482055502353,1.031337085880625,1.1446570399928,1.2139549981506683,1.0292237053610305,1.1130877169786102,0.9459265188820333,1.0819687520994963,0.92703610172357,1.1773796258938076,1.5136634157706068,1.1468327353181222,1.3947347364816467,0.948453906082776,1.1743491879134071,0.9723203365867837,0.8814646896045661,0.8774306315914142,0.9446532412876747,0.758996431982602,1.172141295307216,0.8268300005644801,0.929270192345742,0.9121812091123073,0.7307396197089866,0.8084586698130013,0.7235316704446817,0.7992072110900017,0.7564846109047478,0.8130278323284061,1.0187284766032823,0.9437839502314165,0.6928950190269979,0.6403943562617306,0.7318329555183131,0.7239031282474442,0.568069678175033,0.513220924109571,0.578222132856584,0.5247336497335544,0.6730153413032766,0.5358726979048082,0.6043156094409209,0.769926789422335,0.6894221009986067,0.7479347827694331,0.7861263956652389,0.7545202536605903,0.6630746644603129,0.6611825454124783,0.5926414698236298,0.5122139448266569,0.5075390057899505,0.5700622558172527,0.6627079351361713,0.7815410090895502,1.0542708496955657,1.074450549408503,0.877770936594018,0.8754452408540508,0.7469666582034198,0.77556791971047,0.5490599026473022,0.47892495186704814,0.5166512745588722,0.6312291730307004,0.6240820560483935,0.6425499646402533,0.6877800820434301,0.7254915073145389,0.8153922525602432,0.8545937535550948,0.7434120827426526,0.7718453984208623,0.8593731310243781,0.8793425945914544,0.7658826367437169,0.7183933021877867,0.9647344544122426,1.1039262117708637,1.4264051108244358,1.0310291330408958,0.8692923348605778,0.8531835704003559,0.7439802122649096,0.6977063915571976,0.5612928528549501,0.5118326897841503,0.5192629302992615,0.569158768878747,0.5565181400207472,0.782570010900121,0.9633491411950892,0.8141397666004837,0.5735414357859016,0.4963018862538148,0.5474453787668224,0.5158969702901459,0.566031213818767,0.6696811401957105,0.686849210768869,0.8106904035112346,0.8948993965839211,1.2342997943168916,1.2051351473836065,1.4545925444121006,2.0870447034754234,1.7738999746697803,1.488707641356761,1.1338568055916984,1.0445966854495061,0.8977822097301513,0.830691524641698,0.7243800182430118,0.6299636771919723,0.6208108432220426,0.6189285565073015,0.7388846055812818,0.7391015819441741,1.235880850469647,0.7302514014476565,0.8891080960202896,0.9607984444011096,0.9243677243106386,1.0747589789371101,1.1554747359614994,1.5180121505341522,2.079729236527135,1.700602305418288,1.905423492508402,1.3333118535812132,1.5138184872473939,1.3042022816463372,1.2977669695385317,1.430395484860391,1.0631170951658349,1.0375603294002775,1.0915050688784995,0.9502810090900212,1.1198083671448953,0.9506418292691831,0.8706433974992546,1.0379309728459598,1.1146036460400106,1.0547531690689735,1.1137273260397216,1.2123303366670677,1.2251418713156015,1.3246638430313573,1.4024799740551284,1.456572869256111,1.5307671720533977,1.7117182206396662,1.7057204983743,1.5951516130578212,1.7051072287851312,1.5829989172504098,1.436874660772191,1.5059653001503548,1.6303947214388224,2.4835110620840313,1.8699147124283388,1.788156794734536,1.6383051488011984,1.5431500401000227,1.457782316613238,1.71155119184157,1.7616950859863973,1.5281839931444987,1.55682200791597,1.9033193836915059,1.7870454478464082,1.6135153769732233,1.8905752419051596,2.2298130548752955,1.7602771163968067,1.6987120978970818,1.3536495336407528,1.129344623675823,1.2935412890797702,1.2326785582442141,1.1619234519305999,1.1917643740497776,1.1225739773068084,1.066016451483279,1.1168883662395135,1.0154465621841182,1.0600077501276126,1.0432688144508904,1.0944672230477368,1.1400902760838139,1.1810674685625728,1.2485469642483584,1.3111161602701413,1.5162872667819127,1.426124827452833,1.444177678430908,1.3806972876912624,1.3267181970288349,1.2296651431518593,1.3571653581097272,1.4181068419382183,1.299436225979586,1.351514282143501,1.4806584363425759,1.4154819614562533,1.3581849292993518,1.673978961418559,1.731954668706083,1.4735551877810242,1.7110238764900445,1.9629913634498397,1.981768859867772,1.749103060818622,1.4547424244333724,2.105260046961656,1.647110326943213,1.650209522327732,1.5720780185473704,1.3468146096362807,1.5413235019230986,1.7860522029500157,1.309145852075827,1.2234499965964387,1.12567904131206,1.5935854727277665,1.002079495825812,0.8893979392732887,0.720097206518185,1.0803735393992584,0.9929432510647594,1.1706404060181652,0.8533806589925038,0.8507518464471644,1.200382166115155,0.9867941365688241,0.7372251472969579,0.9169747033288649,0.9910508517317131,0.8817353874824326,0.9415433655073676,1.1242961719234317,1.3834851970174444],[1.9852127837657638,1.5523704675706984,1.0125396042467325,0.7203647593486668,0.7804222921366062,0.7427848283411835,0.6187996743249811,0.6558740298075529,0.6563419865574623,0.5959447816286458,0.616519077308763,0.6446077239447805,0.6317186374120995,0.6451789737721862,0.7099255802699065,0.6893365356868623,0.7471098614192826,0.8380128925287026,1.0146558149136604,0.9602025711656217,1.0672172057153055,1.1389712130779166,1.277190678797363,1.3521275192733326,1.234431607969124,1.1066027084089631,0.9832056809295878,0.880633492605997,0.8001800810432608,0.6875980214373772,0.7680591502034252,0.6657441260541197,0.6985821615516762,0.7219451962597615,0.6876045148717109,0.7459588186020326,0.7064704090949613,0.8872530913731403,0.8858116200968759,1.0450585210168608,1.0748738312302468,1.0554267198261835,1.1614609229873019,1.675881714658909,2.252547434721309,2.89885849998042,3.459552326561034,2.397652159958288,2.3882221549570706,3.2394164568025263,3.0100555216170513,3.525541887571448,2.539651871111951,2.317679888991607,1.935587384271177,1.8071426008892733,2.0456635808717434,1.690011334796183,1.5180782389790646,2.3599980501231483,1.6820664448969285,1.2983795344800624,1.0590724899351418,1.1622643993485173,1.2235668220893632,1.0425072856363893,1.1156402775821148,0.9832798683555719,1.130863297453832,0.9802705672108842,1.2146150716838116,1.5492985852000944,1.210650888393514,1.4337219417974132,0.9823609795136388,1.1850667589323072,0.9847929564587078,0.895619043473318,0.884564533557791,0.9376300266177212,0.7846984838759575,1.1963338716805751,0.8518229144161245,0.9373085441545302,0.9535259832910611,0.776370820173426,0.8434048013379661,0.7960476514207,0.8225501865448183,0.7840662053228281,0.8438138127231788,1.040082211470044,0.9856701216002486,0.7690710284976123,0.7270632099640842,0.8293161531514553,0.7956705875961657,0.6636311880053114,0.6238117896334635,0.6661467901627958,0.6088170738595964,0.7811540482386669,0.6092175440514462,0.6753570365588822,0.8094326830595674,0.7341038849135355,0.7851043407491652,0.8277398246467352,0.7930178113369534,0.7182317616061477,0.7194266345828827,0.6287583588690059,0.5930062451282131,0.5630011629115234,0.6533825043292244,0.724339628994027,0.8248052251693531,1.115305372229993,1.1141733506517797,0.9258842459703656,0.9361459953865303,0.8188936378536179,0.8514894293828724,0.6561511357827224,0.5754206301881509,0.5898880440612679,0.6868462820706872,0.6603512329596318,0.68324950786261,0.7211665656063565,0.7536302538671497,0.8339071949821305,0.892226243314858,0.7702733520246104,0.8203492898729902,0.9367473779968496,0.9571689086510071,0.8197126059446928,0.7665915661303265,1.0463332915226566,1.195921143158327,1.4547253683790546,1.0706042789674528,0.9107431963647695,0.8794536223508126,0.795740877473707,0.7506183833704244,0.6240998635978029,0.5738786721840775,0.607828815046683,0.6573980272523239,0.6636564060035373,0.8578766443796171,1.1053903186360556,0.9203271838745837,0.6754279575889348,0.5981793479506253,0.6377182056717502,0.6025463692312079,0.6123276804078036,0.7021968176274141,0.7171864394643637,0.8419820574892891,0.9136993834444348,1.254433632025362,1.2309996910561476,1.4958280569580737,2.133459258939378,1.8346769662515219,1.5714837298568942,1.196408027929171,1.1147756610212411,0.9482605673002371,0.8789677224562482,0.7643490380243761,0.6791001466763877,0.6643478119364089,0.6871683817880098,0.7743522191252311,0.7682013625213069,1.2705486696278785,0.7770810649100739,0.9013581484594891,0.9641721922738395,0.9376485885018538,1.095669279880278,1.2040472173294754,1.5362579100057696,2.115408605386216,1.7136524595989853,1.9227010890017127,1.354260328069644,1.5431624991556632,1.3337213600234727,1.2598852360049078,1.3813199716762652,1.0699031448007696,1.0433597209212397,1.0904571695517231,0.9454271958854801,1.1383961781037233,0.9988829640291274,0.9233809052280895,1.1018282979483078,1.2127283962693403,1.1929274677583241,1.2379835979377978,1.3602910424713373,1.4066385646479573,1.514981286216362,1.5841137475564018,1.660048018601691,1.7447920685897689,1.8599917496642508,1.9121089562186215,1.7595661884904292,1.9244171060458404,1.7059655641156986,1.5730406242872734,1.6584331770759089,1.706409762531035,2.5640333227374046,1.9706931932620124,1.9332099259262587,1.7105333780286236,1.5788486877908336,1.4838375867527096,1.660549302309335,1.729814917139278,1.525734673526952,1.5181260498536784,1.8484159959138142,1.7499598328012045,1.572330271910361,1.8059480673543065,2.1676811359202843,1.7060846279587343,1.6502163775250036,1.3348945710932103,1.1085031512689834,1.2567132114344877,1.2605207660070923,1.1541893366163865,1.2363661096541825,1.1674068339431962,1.1123164951693516,1.1842273319541243,1.1239958052244206,1.1583473668113702,1.1748997812901505,1.2722660752661663,1.3277428259851007,1.3723492808108484,1.445895141643953,1.5380504254702314,1.7514017763641816,1.6526346680514374,1.6760230676161487,1.5854200742431754,1.489496272730412,1.344867979355055,1.4292195248333752,1.5457719342308451,1.4306712789956393,1.4153832080608326,1.5491203375958063,1.5171442971945681,1.407124665552895,1.6820702862587154,1.7780956358535427,1.5232507728389495,1.6958686488605494,1.9535883431861287,2.002627466200403,1.7642662699377263,1.518377884138268,2.0236159311510713,1.6658198489920326,1.743764420725999,1.6649173750276927,1.4686541251099827,1.7197654100213062,1.8654441472715553,1.3753407054459268,1.275006713114366,1.199703277991579,1.5709136205403664,1.0711789342170774,0.8994976910719725,0.7829254117373553,1.164920976482465,1.0148349253663893,1.1944937984685802,0.8854975143277621,0.881495481698623,1.2231176923894478,1.0336960188588595,0.7910047085979532,1.0184121369438646,1.0811671884345893,0.9697371292263749,1.0555234842782035,1.1563987504930655,1.361297196442545],[2.1585326657255615,1.6824167213783567,1.1165078950819503,0.8085655103568427,0.8621894836149895,0.8173036081868117,0.7070174187156262,0.7442125330482321,0.7423059675300487,0.6674524449443962,0.6832572633797183,0.7190026211124732,0.6914032251828899,0.7008750625460037,0.75852832442749,0.7344384054045601,0.762552683197125,0.835104340894784,0.9883792399495992,0.9532870509060226,1.0526517636519759,1.1333937428576568,1.2706173495054163,1.3384973273276883,1.21591340200977,1.0821954624080623,0.9707835337503123,0.867437941444192,0.7965734913860825,0.7075113662532007,0.7807053478115932,0.7105062080049328,0.7472087241747443,0.7558176730039791,0.7083916572454698,0.7557671290519684,0.7229232074645218,0.9062841573636958,0.8951432089810899,1.073297158987579,1.0966545912411365,1.0482641256983443,1.166622771812591,1.6271979732803805,2.163175193593722,2.7671662194457736,3.3409247967348383,2.35123868899904,2.3328633528859335,3.1914823241423367,3.0515500555143076,3.423844023201632,2.494419113577853,2.2918235435283965,1.9631371891832898,1.807005197907366,2.0193746678224405,1.7057726990691604,1.5216648391450402,2.315697579924408,1.649589862660837,1.2823838053964964,1.0369585161700818,1.1408842492861517,1.2129480704717064,1.0298625583394188,1.107886827031861,0.9644497123352179,1.1107690024205332,0.9629773841937509,1.2109726274599029,1.5210103451259185,1.1876018334508727,1.4174509716334025,0.9635640384931132,1.163023476900329,0.9689133009154535,0.8821514147135491,0.8876439914980347,0.9501444131505894,0.7898200040537479,1.2041326769842415,0.9110767761462517,0.9502829203556209,0.9454528981318532,0.8098912928023608,0.8456786191291874,0.7888499511125162,0.824726594511046,0.7983636083641369,0.8466216544359839,1.0343352388063116,0.9726562087328369,0.7806335483868121,0.7518732348396188,0.8631940944806614,0.8482700768638752,0.7179247333114994,0.6937962232492045,0.7816605810846603,0.6927716230746923,0.9008522594032918,0.6794537256759934,0.7821610657006779,0.9622247948711224,0.8753344392087616,0.9428352796326724,0.9851081878157034,0.954634784297478,0.8740054386172004,0.8454535608554707,0.7475304608396914,0.6756940339654037,0.6369246928490643,0.7035692955364405,0.7522792467766181,0.8353746589381864,1.1141258996919805,1.0884573750121793,0.9085740004075497,0.9163422835876749,0.838503215279273,0.8680103592644943,0.6997602812680895,0.6430323443340009,0.6518454632443935,0.7937709124855447,0.7958400919364443,0.8372526810601408,0.882793268807508,0.945057716803283,1.0258371586149275,1.0775567586739492,0.9708886271025647,0.9898521115759752,1.0620457956365286,1.1233090039003282,0.9444329620502937,0.8373727352483791,1.043208432415098,1.1386244608159553,1.430995093594216,1.0420200047096875,0.9122173701014628,0.8878119084700331,0.810017497835822,0.784187960353205,0.6820561931399755,0.6617878608780645,0.6804611542582105,0.7612541720216297,0.7690432186335849,0.9625737998791641,1.1887186507812801,1.0108049368311722,0.7711130434403725,0.6909543381989034,0.7428847912530423,0.6803685766968074,0.7108744317267416,0.7983029958919164,0.7825077185731472,0.8871054518900786,0.9777161922072218,1.328516044525397,1.2692698644175286,1.5745808939978072,2.187930046664105,1.9367351781200515,1.6457094499331026,1.3085799704538852,1.2004533765330072,1.0466918860208219,0.9822432310841162,0.8678045482941256,0.8098484704230083,0.7443997997354885,0.8087943304089084,0.880983785926808,0.9087047978661141,1.3409707550496832,0.9251413919318446,1.0593801213790661,1.1284896213031692,1.0661714012724761,1.172464213730152,1.2288029155033655,1.5630803455411575,2.0959750428103554,1.748763936502529,1.9749079545243062,1.4504324229006287,1.6634918771889362,1.4882531069447318,1.447401392059111,1.5222358535456122,1.217890493845298,1.1846362570684192,1.2373283304619902,1.0964411763790405,1.3317080518673958,1.1988285856036256,1.1019213871387616,1.2817596915287965,1.419256715727103,1.375434085293134,1.4017668966435364,1.555663292544548,1.6149274109127798,1.6894783474002062,1.7671694517538166,1.8561783681983393,1.9171095349121627,2.0582514484435928,2.111443538679017,1.9781563470781678,2.172253836769578,1.9124950789134094,1.7791593443134521,1.882109738284839,1.9883908436175688,2.832151905980818,2.250247799414664,2.1269605822329285,1.9308953953110626,1.835921771642015,1.7014285475778452,1.8748377063004051,1.941812573375889,1.7205541907821658,1.7343883015556207,2.051909694550667,1.9419348514861954,1.7517722624776801,1.905572100091036,2.3085696148324075,1.8233113686516025,1.7333903363123517,1.4919934329073534,1.285598620555384,1.462936621063333,1.4871744731720957,1.3656259194512386,1.495053551066215,1.360177082875424,1.3142870888919065,1.422520010804002,1.3414085695797355,1.359388858272074,1.3929806468769432,1.4824957989018455,1.5084578157343935,1.558135727324984,1.6580108776393503,1.7434591997271718,1.9074846688505993,1.8612595574542214,1.9046801793476664,1.81404744195062,1.720515118912639,1.5634508552693278,1.6842312639046606,1.7883324465005794,1.6543175418759006,1.6375073134605957,1.776520318974167,1.7336455254223908,1.6055011436202902,1.8712483066771757,1.963194572985682,1.6836145138769045,1.827824187472464,2.1235145014836267,2.1373682753671517,1.8700162731225074,1.6166316333222934,2.0154526198970775,1.7512534537770568,1.9378433764462866,1.8621945479525415,1.6534385836980432,1.8944568491395495,2.054998253700817,1.540796560381832,1.3549838081628445,1.163192068177,1.5464277621476814,1.226204823463821,1.0389509619527557,0.909944073680263,1.2824451019429515,1.0908089419665081,1.2554034022295377,0.9755278033008488,0.9329406869933973,1.23099756613109,1.0887674999573667,0.8647800897123161,1.0396044936563371,1.1651413227103113,1.0542103738425557,1.1371753108142741,1.1979179934731874,1.393740033317346],[1.9419319674960749,1.4208359064020717,1.0341647401327443,0.7009441811251488,0.8302704692926727,0.7229102118918285,0.6651102572626136,0.6897430751211078,0.6515856546439475,0.6443166766645254,0.6353738060453453,0.6658755485047214,0.7080091503967453,0.7027756561675473,0.7685582474902445,0.7603717235141348,0.8203823450393709,0.9122977644010444,1.0585138033523034,1.0547582738988157,1.149675335718401,1.2302327477573283,1.349214949155955,1.4017017150639481,1.3064371603947404,1.1696819315155504,1.0787449244810101,0.965217511489447,0.8857140210806272,0.7796687777764388,0.8350062226390521,0.7527579966244297,0.7729785733839583,0.8169295677360302,0.7900390321259518,0.8598316138954935,0.8143914726673963,1.018126623062934,1.0179473902198592,1.200133682577606,1.2242075876481282,1.1603053029201706,1.2823801722601171,1.6789449694845766,2.176854040528494,2.748752279982775,3.292294247010217,2.3590552093352875,2.338063537661213,3.16137994126527,3.071411768387149,3.389764769351621,2.502131389124025,2.3391806955369994,2.050333720292564,1.8709404132401057,2.0974350847309204,1.7956569060812264,1.6201111597417641,2.3238802931251876,1.7181122657275836,1.3822288799411735,1.1379759808517074,1.2134136128971018,1.3055149812068452,1.141084192945684,1.2061900430386971,1.034142705043662,1.1655042543018836,0.9833169702341045,1.252963144629198,1.4984644782475618,1.1846164988411327,1.440894137453288,1.013216404578046,1.2151654491195372,1.0471825887575963,0.9653273999588635,0.9932422784358355,1.0802539908397475,0.9106292721339357,1.3094868290485717,1.0244753100459867,1.0385572436493717,1.0223346741991912,0.9400585621838257,0.9584008700761768,0.8836163557012215,0.9402839454400215,0.8847245577144408,0.9221952182506322,1.0483513348206845,0.9901220526147473,0.794820982253484,0.7621226020839931,0.8323162742025637,0.833120242307484,0.7110910762214768,0.678113254764069,0.7506748029609032,0.71972275288302,0.9126560359710317,0.7515212630361013,0.8283127525397377,1.0357651284388274,0.936079197782368,0.9798467589637077,1.0146654239662467,0.9725255461698936,0.899676879312621,0.8629370754898363,0.8107472075521004,0.6981716783596099,0.7205734968583625,0.77167329310976,0.8533561133304449,0.9410036420716431,1.230669625918405,1.156558200083441,0.9817691715864822,0.9774232541327922,0.9024120064638724,0.9513850785283517,0.7616082289803873,0.675385083883487,0.7240313243843948,0.808219366782353,0.8641102645858005,0.884582512151272,0.9435999247513298,0.9798413888610212,1.048327920179616,1.1337266321856938,1.0382750770627411,1.0701482677407683,1.1536475933763506,1.2037724029268122,1.0775855698564343,0.9776814728839612,1.1322916691185114,1.2190299089704473,1.523809419584433,1.1428668418409085,1.0298888863241988,1.0083291974655966,0.9214520299057538,0.8960364046178411,0.77064768827161,0.7457138175980631,0.7051877225360468,0.7531377522958846,0.7142670372424037,0.9173472873490205,1.072055961227483,0.930305839208224,0.7307661801742059,0.6850100662383618,0.7561027379258313,0.7395337226490558,0.785766819196533,0.9033469007912288,0.9100109706433983,1.0129324130439659,1.1106389271484336,1.4447087373773408,1.3913600114381646,1.6637562650774265,2.2608326197267905,2.0216912261746174,1.7508792217212472,1.4058137173017833,1.318743768586618,1.1597340735641242,1.095828925832702,0.9844538679075775,0.9213826841405637,0.8543318597910073,0.9150882926616674,0.9987901838460981,1.0239604056200107,1.4342693783679705,1.0195717667778699,1.1410317929092735,1.2104523988650717,1.1538397921440815,1.2565290391974497,1.3284520511934355,1.6185967149445049,2.115717042797695,1.7851228881920431,2.0102318927641396,1.5208426240186592,1.7367299827505558,1.534724959542791,1.4313414513513352,1.4578698615447605,1.2225074322083633,1.1769254721065645,1.2161021672753813,1.0854552650475937,1.2893332219037108,1.155807005254524,1.0631904259862837,1.2144390157979976,1.3219259025178234,1.259354312156525,1.2886697206503517,1.4088242035191434,1.4423239954046962,1.5017640228350801,1.5686453711243176,1.631050134036302,1.685652263939247,1.8585133414089328,1.8480096844798701,1.7504057249885425,1.8969279388069014,1.727299787385517,1.6049415014102826,1.6838728111297607,1.8337970148336686,2.712342657295569,2.085463708589047,1.9944197788638003,1.8459629068839885,1.7587170251576858,1.6471682846805429,1.8421117218381724,1.894782141415708,1.671490205800251,1.6914515201242533,2.0108300153922682,1.898887623688279,1.7147661567727244,1.8732344671641388,2.2674162891471275,1.789581427526602,1.7061217538681615,1.4622681071489008,1.2765717631544011,1.436118890069432,1.4384287160473868,1.3393014789947997,1.4416438587811358,1.3247380501973924,1.2782075223740295,1.347645046686993,1.2578590181007934,1.2896666507793864,1.281070911050285,1.3324780826047553,1.3528725826152512,1.3900773842998095,1.4770886135107317,1.5305791452329214,1.68192149987674,1.6309763339627636,1.666644309543235,1.604937588313389,1.5573047097903336,1.4524317858898645,1.5788296562626483,1.6351304282742647,1.5152573583407358,1.5536581177582467,1.6709393127091599,1.605795802900421,1.5264337321327237,1.8151100399841875,1.866572754619635,1.597465839252455,1.8020813071995025,2.077969240510155,2.078609252408634,1.8250748400558974,1.5291020329018499,2.02831235698022,1.6494425742923713,1.771083718485371,1.696406168779644,1.4936313989189722,1.708801474716429,1.931589487620601,1.4355744858868098,1.257186972059801,1.0689616847223657,1.5183132422719887,1.1934573872124288,1.0251365875971097,0.9216089180126374,1.2312806893459443,1.0522325769063052,1.204428676523342,0.9105511269482176,0.8754803304347043,1.165416058807818,0.9988448930874911,0.7775943929051424,0.8998278203818328,1.0042465390550965,0.8905504931810124,1.0000976102576942,1.1051346065350476,1.3904938902106156],[1.9348256385151776,1.4510257648942133,1.0182779190870876,0.6525089464666247,0.7738154127516724,0.6919227894806009,0.5508626894380038,0.6014025161787102,0.523008063222547,0.45391141907143767,0.45005300601288806,0.5178428296589439,0.5300086732391033,0.4998256982293086,0.5647834023037914,0.571166767384224,0.635979946017567,0.7036181195633547,0.8503699967458475,0.822844140704803,0.9240098272263849,1.0169832910855257,1.140373431304366,1.2246164596595879,1.103355117612927,0.9698942905805709,0.8550475627903137,0.7547527192146005,0.6766658922957441,0.5875224078517027,0.6256065596558544,0.5760603639925721,0.5996039359587042,0.6019051665640822,0.5873872849979311,0.6290470476121554,0.6132789756226331,0.8124006091434651,0.773854535626928,0.945900555936645,1.0105882676655684,0.9339310622426436,1.043020038647284,1.4413024047463325,1.9786769035440157,2.5852064317586443,3.071821721889653,2.0957195333828973,2.1121993155882377,2.9064180453532846,2.748000112098166,3.1931140362669983,2.24557811782655,2.0923246469834855,1.8928229934680263,1.588091476215595,1.8750623796157384,1.5894818170237737,1.412218620476691,2.0919352024383753,1.476323918854472,1.1156342138948303,0.8907161068192657,0.9602111471197565,1.0675974798264671,0.9104819276829201,0.9903632101475942,0.8209807511432012,0.9748896532184487,0.8191494894727412,1.0808413089300104,1.391361563024717,1.038586796738739,1.2557744897747212,0.8233907304723068,1.0572824758419705,0.8277473845512965,0.7224886733746179,0.7526630020719308,0.8342644630325596,0.6657830333816037,1.06860428154823,0.7833378381722885,0.8573017956342908,0.8309419475533285,0.7055092476697892,0.7333085613712107,0.6848802157408822,0.7015545298236565,0.655578637262782,0.6926937504701893,0.8733505540343659,0.7966260432325463,0.6050515136013309,0.5836269635098943,0.6642444626402869,0.6781694384350881,0.5349081091975967,0.5113613990523982,0.6496116420451039,0.5597112689359364,0.7958123389484121,0.5881815871538255,0.7298168195613063,0.8651291353366143,0.8123737701838712,0.9027175935415496,0.9315747945269424,0.9003570314610476,0.8023528822609964,0.7647148762084841,0.6655710380465831,0.5664158920057791,0.5429409188051447,0.5664111372448861,0.6304850264982569,0.7273504975510516,1.0780546919669356,0.9699145851739704,0.7878799960303228,0.8093376610296082,0.7118164232220279,0.7674775617403309,0.5654533252591141,0.48919673321861157,0.5486110081965742,0.7057229016400463,0.6852676610455097,0.7555919628952812,0.7884917962174638,0.846136062004104,0.9499065650816887,0.9591788091042786,0.8439553995971985,0.8744104656575027,0.9640940001102498,1.0186343587021394,0.8872697384035262,0.7720686915395097,0.9271970032565687,1.0480894028962793,1.332686554828294,0.9229567383570828,0.8106753119439435,0.7851422710312651,0.6973038293265916,0.6724148559913776,0.5835088081734274,0.5623882479873729,0.5670560591388724,0.659672263909262,0.6152301542308614,0.8590801550719436,1.0383955700029344,0.8553294884213007,0.6411084827573392,0.5437858189504842,0.6353405075744006,0.5647270474579683,0.6221005214343999,0.6901561841789253,0.6770760344078026,0.7720140485957501,0.8557919464719812,1.178505232713778,1.1776645696813195,1.4401832931600638,2.055245740490595,1.8398744656028037,1.5898095601216924,1.2128244117738995,1.1118230007602217,0.9409785336365306,0.862717411554464,0.7452447387231882,0.69099613367117,0.6496484720348382,0.6970661008881212,0.7592954279831354,0.7841404181742782,1.162963025546608,0.7986422282574436,0.9195378587034383,0.9734347037950506,0.9271270851398304,1.01944534959284,1.0877547483508818,1.3898768422932615,1.9331613644069012,1.5870979590221284,1.8089204265455932,1.3043066274847472,1.5489639963714728,1.391095485441296,1.2654339944430628,1.3588731503293796,1.107720368005097,1.1047741779817093,1.1621640363434464,1.033102492441373,1.2458939953701353,1.1148497227273553,1.026188120706243,1.2069013297465165,1.3239696464267605,1.2783380676820066,1.3080043058383175,1.4379680598555515,1.4760579196001702,1.541854449276793,1.6109664884175752,1.6791042523239335,1.7387261267178389,1.8696949257417346,1.888434045403615,1.7691623230519329,1.918871993939514,1.7426271784227616,1.6336850719762703,1.7087421074353406,1.7519766318870666,2.614706180168681,2.0470656220571746,2.031934668129345,1.8266836855872646,1.6900231833818535,1.5926791442816788,1.72952368845071,1.8025744426072294,1.6143094636981095,1.5948198860031055,1.8929154111472564,1.8006806828166464,1.6361548128634693,1.7976667224574747,2.1660155193705894,1.7380961000835755,1.6851247206334157,1.412918442904745,1.1817100843514827,1.3335047438028278,1.3702734773493512,1.2736200441903425,1.3748781869640925,1.2669209987928702,1.2305617376282203,1.3119312722771195,1.2353767203547243,1.2597863042778357,1.2817965689174362,1.3569176406178987,1.3868025623374456,1.4271120435501823,1.5111086228173423,1.5807972913536497,1.7484475541611413,1.677826712577066,1.7118684598822926,1.6390966508003324,1.5702016944843018,1.4475541577156181,1.5359180223513615,1.631231170095376,1.5185785341472546,1.5242144917944598,1.6462830305020637,1.6031348950891047,1.5116710592115057,1.7709387095380191,1.8543411981853333,1.6148877790900251,1.7745535998868465,2.0081188346901926,2.0537258548016593,1.8324107517925263,1.5941265715588298,2.0442387184523714,1.7005390384538075,1.76713917146602,1.6997608845221988,1.5194269981341972,1.7301703045745922,1.8838248217746751,1.4285997117676155,1.3194507561934183,1.2177319469250314,1.604633156367271,1.1298613908055928,0.9746028324978357,0.8453398636875133,1.2072685233919556,1.0755580684431991,1.2484788492680228,0.9218994561345534,0.8795187256003061,1.214592214641272,1.0253141027834969,0.7646917684135599,0.9483104332006681,1.0315882397416527,0.9055528853345263,1.0098456170918504,1.0965343064334676,1.3481440322395855],[2.1028770209400034,1.7273075752164615,1.3488603906911243,1.1342692075522518,1.1532563831242981,1.1883090659231077,1.046870945850281,1.1020352734391106,1.086827776561838,1.0176356779663052,1.0373484201539294,1.0719417418065547,1.0258562615355726,1.0449997376631464,1.0619027220294703,1.0536303098591502,1.057263161281215,1.0787134513026884,1.1747081099888008,1.1106657492047596,1.1995233003583452,1.2418174230026617,1.350141912553089,1.4319758480917855,1.2903973092847723,1.2266975018349782,1.114744559346209,1.0757416209474977,1.0304998357624051,0.9844876395679958,1.040613928670527,1.0150914512932343,1.0280804642248407,1.002678952887752,0.9868794925248715,0.9833764246301901,0.9598015871424463,1.061376454726982,0.9889143663652034,1.0522160068631419,1.1577812285630982,1.1439784653504403,1.2047245398162858,1.5055952258472354,2.0238215501953265,2.596544235542486,3.044316154922739,2.0663840830247726,2.0959660215179516,2.8345143366592964,2.6560150003235337,3.102744376154157,2.173866505656785,2.074183248579555,1.9729900877280082,1.5855408604719352,1.8982073379226456,1.6443215231403276,1.500665178727858,2.0670832926398783,1.5456790585156543,1.2647755860327992,1.1070574829828475,1.2018164078201694,1.2781126934031402,1.163581505628317,1.2885393104941338,1.159960060399289,1.3092080813096605,1.2371311437707586,1.4080916121958775,1.7240070145442388,1.4231908625582317,1.5143124346757577,1.219850004630102,1.35558911503221,1.1485259557786112,1.0477835534172133,1.0237455584950654,1.0474109896098245,0.9222884491181854,1.1186172040024154,1.0112816837979672,1.0295018506866214,1.0288991544014383,0.9423652866743087,0.9866189201663169,0.9757710972491482,1.0017912793277453,0.9982135749941192,1.061574163201611,1.2220495974557635,1.1539859298327724,1.0835655899167906,1.0754360448938423,1.151396147033574,1.1593578258580233,1.0510622188949632,1.0455981745047203,1.1302310951981123,1.0150682326883926,1.1694843750012123,0.9797986499328867,1.1078825075688783,1.0895574948426388,1.1020375798682571,1.2190310528103987,1.201199915129723,1.2099013046036473,1.135818347502704,1.1190061502813657,0.9991583588127455,0.9972663531441801,0.9252413145153086,0.9647820224131507,0.9937539096628789,1.0624548321765455,1.3484705567907307,1.2663784186165314,1.1451667645562085,1.1825742492133138,1.1135577855030623,1.1529300890754872,1.0052130287018137,0.9648276798028965,0.9272927053746544,1.078663831616621,0.985129630645639,1.045975334884601,1.0245853724630345,1.077609121229409,1.1827589147314939,1.092087892671829,1.0358351447600167,1.0125008756155514,1.1025989133349143,1.1374231063697762,1.0512295115640207,0.960646268771868,1.0651119628646581,1.215929758780585,1.4289214710068852,1.1285441043858067,1.0342891783221106,1.0040371557037742,0.9770304173507598,0.9601292699484398,0.9675640118610659,0.9459931177252745,1.0107775644746884,1.0999821238070429,1.1162827139580729,1.2943808657041587,1.4709071367570694,1.2974008315336953,1.145460691331855,1.037420500133367,1.0739788778994905,0.9735554231772771,0.976531437012027,0.9418664656118161,0.9217574423927313,0.9529628556982256,0.9944227381557476,1.1937347277395143,1.1931106134457403,1.432132704871361,2.02489188848627,1.832595605305563,1.6038786433943644,1.2537325276516438,1.1764001376178486,1.0332805640584948,0.9760654300775318,0.9375151236923084,0.9443173174634033,0.9606744953790762,0.985636601378494,0.9598128699551022,0.9532927535250094,1.1427498484034175,0.970197787035357,1.021211229905954,1.0261667205659852,0.9995374521348095,1.0678981283902362,1.1359963354450362,1.3978774652904193,1.9572103128851621,1.601823485317489,1.7914505548012263,1.3189337968842456,1.5469889438601745,1.4396234899729068,1.3132362993281737,1.4228035999414759,1.223376044497745,1.2835947857080436,1.3802452598831274,1.3152282134358795,1.5557104978382439,1.4733865876065577,1.3847569612945438,1.5510212583189256,1.7119247385486165,1.6955065857248142,1.695035602135453,1.8498301982092955,1.9366272746438842,1.9690968123511792,2.0537328383098172,2.160457722209378,2.201650558704335,2.2871194291422956,2.3516516130937233,2.2005287612148554,2.4140129983014553,2.1916972977361304,2.0789752065355906,2.180883491633619,2.1513179124376594,3.056116903359922,2.488965035116603,2.451986652397106,2.206106473831794,2.0367439721489746,1.9268072897331825,1.9812241178422973,2.085486988561831,1.9022830317286246,1.8213281703782602,2.0743046072752285,2.008738211729015,1.8269706669288222,1.9104789469738748,2.2490457088069107,1.894157635159322,1.820745505151358,1.6431533309131579,1.4095998042837357,1.5734502175693392,1.6849639042214892,1.595448466183516,1.7537927067403403,1.6100138096969991,1.579602197746318,1.7205988097050935,1.6540745274532678,1.6499504240982275,1.7238262442654952,1.8369663527638813,1.865880061430666,1.899276948197984,1.9936363603092928,2.080799498648423,2.2116530434131922,2.155359514359711,2.2174447591367064,2.1330659452429086,2.0357443815271314,1.8871833115169265,1.9307032853865806,2.0883897723942306,1.946795819667248,1.8900598584422417,2.035921190355869,2.011540548900618,1.8398154331623657,2.0779155585760667,2.22105156241993,1.9472412087660573,2.00759228039703,2.265660044499879,2.321713236036906,2.0995923229704587,1.9368701445165675,2.268238694825858,2.0399656948965874,2.197657685544077,2.069451607956992,1.9160578085501412,2.0901230218216234,2.141303789961554,1.792390136876548,1.6405057920957682,1.5112520565657102,1.8112284954313167,1.4088403228483746,1.2626398366922107,1.1458640618594231,1.5402308321220013,1.481092497734399,1.6624217333586224,1.408784139689501,1.3441298088883684,1.6422624484044155,1.5020316494145574,1.2658133356006753,1.4422892800534686,1.4942403816840004,1.422422845857109,1.4739992600324106,1.5040862275025146,1.7331660554040638],[1.8683639745725145,1.3794527161899182,1.1534891329551111,0.8279766651841881,0.9939665416717249,0.8683948239985526,0.7581158535254837,0.8325935340090974,0.665093303865533,0.5719376510570346,0.5430645629706753,0.6600768585889342,0.645102544735344,0.5268532182822914,0.6004503211239266,0.6450233015319572,0.6813039269176061,0.7203390675163022,0.8419155553107258,0.8549981793959046,0.9349874119349333,1.0547368412696636,1.1464414453529364,1.2156969795462156,1.110161687456588,0.9655751448114207,0.9033500248773019,0.799612136911943,0.7521952451766035,0.706410181522985,0.6693081176689152,0.7115803246046256,0.7416460309261395,0.7160804737250052,0.7397799969839282,0.7414504297509442,0.764157649569178,0.918973855263621,0.9053923704095558,1.0977205151541867,1.141085468261855,1.0291873414747155,1.1205459629607561,1.3901995118860655,1.8827929873698677,2.4398258497760446,2.917666062036151,2.0450948321793776,2.0736464585959213,2.848808856604438,2.7772752698419114,3.062887794293682,2.2348436294264102,2.078525268989468,2.0824709803145973,1.6178444441711688,1.8139607336275714,1.6939386364971527,1.5028291287069346,1.9672938288717332,1.4307040657564245,1.1348568223650457,0.9057534831125711,1.005212057539745,1.1034995804732883,0.9373193203581757,1.0064014573050128,0.8191069652044929,0.9392459052753737,0.7871599725388745,1.0070587678084324,1.3111568841183534,0.9529975459703366,1.1684829323115187,0.7946501740807097,1.0674393878124955,0.846843926040733,0.7677488675810245,0.8425101541332516,0.908401906751894,0.8437245304323856,1.1794857262653053,1.0542524272217162,1.0622826582175262,0.9889079942450921,0.8971231985953856,0.8685111630495804,0.8282362711112584,0.7787995414776068,0.7625149366435021,0.7370432002569557,0.8465268268578833,0.7642093010575473,0.6497195226101976,0.6374302916285843,0.6896008417008996,0.7135467304968288,0.687860476289742,0.7150106402042873,0.9264414105319992,0.8110213126509542,1.0748012200617008,0.8794520176966669,1.0580425064595793,1.157412170361534,1.1629799467789195,1.2870726156039336,1.3176137119508649,1.2842377570003525,1.1791909703776862,1.1028256993787333,0.992628947927887,0.8134955487108774,0.7428922332186341,0.6616381418956058,0.6957515722611327,0.7739999403097818,1.0680789932029777,0.9483974630300241,0.765642349011635,0.7696601444638381,0.682555081363401,0.7435442074314298,0.5938920112178823,0.5856327003476615,0.7250132058889541,0.9687134183753149,0.9915179044054471,1.1368035144628188,1.1669566411978478,1.2423413381365656,1.3473168190857536,1.3423522776149222,1.261675639682975,1.2253831763503158,1.2094193176903996,1.3033396673747604,1.1121197656208814,0.9286914498769063,0.9772031541726945,1.0218500402396997,1.2986531654491311,0.9460079414025001,0.8851763703040649,0.9069237809949515,0.8118052406079506,0.8053118932168789,0.7617332516417494,0.8122932274025257,0.7943121218220118,0.9501502157647315,0.8813436171205511,1.1525841427379506,1.2070522355034747,1.0093264883839843,0.9140223905776602,0.8040401853412298,0.9346745533302661,0.8048377952801815,0.9405646796368408,0.9471205128625947,0.88541281342921,0.9447943351178091,1.0352768298087383,1.3005707762282515,1.268903554196357,1.5903364831495017,2.1695643201851347,2.0112399785016364,1.730354194340567,1.430908006264621,1.274259502248428,1.1727602663787458,1.1140373004455084,1.0080597103361713,0.9926891230076818,0.9299702565805433,1.0037082800500303,1.0390873125263238,1.091922438655455,1.2939776453266432,1.1243433365224793,1.2492730293927836,1.3219953762647458,1.242810563723214,1.2726924019075498,1.2232577892888137,1.4963219388380335,1.928509201488634,1.6828526873946397,1.917388980413651,1.5233078168601701,1.7656153887329127,1.6738270957970154,1.616378703058814,1.6793913200878796,1.4360197224102174,1.4387780119886642,1.4917389918971202,1.3866918594710196,1.6352524226735023,1.5155977156723013,1.401265285563925,1.5667929090105712,1.7110448324301966,1.612504798315308,1.6018215313420237,1.7656511248427527,1.8143810668298912,1.7564431692719567,1.8491092201109458,1.9575949572130429,1.9259719842081888,2.0335909789041553,2.073394775284747,1.978359072548114,2.233938068644409,2.087514322725209,2.0019674959425826,2.0960543652029147,2.1961744584021345,3.1196433459055775,2.491009241876876,2.3926231425741906,2.239219496084477,2.1264383274907614,2.004945634421841,2.0961208843728887,2.181648000263444,1.9818232755717544,1.9474317400262076,2.212564996540964,2.1269716442776487,1.9505655010601752,1.988493250273278,2.33262879989662,1.969032719560319,1.859748834815413,1.7534605146572,1.5597364749211489,1.742205767505968,1.7822177672676847,1.6895107010149075,1.835177872446169,1.6651030663707684,1.6341732002489104,1.766866625368834,1.6535148005695217,1.6225017818566378,1.6761924689777472,1.7329180522514207,1.7071915890599194,1.7408685865766529,1.873355388480539,1.9012048872014569,1.9717262464442864,1.9705081728713854,2.0590601520706078,2.0057407738961204,1.9731337893707013,1.866709468389197,1.972013712470829,2.0590485334205764,1.9156093108268384,1.9307694997405178,2.057668367874421,2.001363338968256,1.8776650939717199,2.1329772656039605,2.2156798025682267,1.9581997659280124,2.07467505123184,2.3505456592308005,2.3790103841231844,2.126147770528463,1.8797047893774252,2.2317670073318183,1.9470977018671287,2.094564519854908,1.9029509141996666,1.7742467525942527,1.8543991586329192,1.9582861420539144,1.5952350943488345,1.4850291790567953,1.326722415271618,1.756683361182474,1.4253769240715886,1.3049314297924015,1.1724024712224028,1.4698784513762488,1.374506601686056,1.5409053725598907,1.2440348747638594,1.1215684589837969,1.4045694966076312,1.2633298839638756,0.9943618501488936,1.1181201328126458,1.1870175919112314,1.092069450528642,1.1743907412621308,1.237573045648345,1.5810774984108171],[1.8852193398744708,1.3437635607193046,1.1143963983315779,0.7633432301808073,0.9317407657119332,0.8103992586418125,0.7383389645652209,0.7855355196470957,0.6643951656468964,0.6426772042381396,0.6146390245193929,0.6947866277595734,0.7077220841507493,0.628944278243691,0.695907857351602,0.71167535838742,0.7629645945949892,0.8096787179254505,0.9008332099716264,0.9273935954636223,1.0050556160497988,1.1191030862487983,1.1772364559168802,1.2482852610022632,1.1471419549364905,1.0217726265204659,0.9629326530211504,0.8714973577599789,0.847714760511179,0.7841151452374258,0.7330861057479382,0.772222739160675,0.7876133573283982,0.790477536972673,0.805094695345117,0.80217680319523,0.8432272841020326,0.9867434390838675,0.9421552890852951,1.0726694603393918,1.1531964504746617,1.0601263944083408,1.1171471230274002,1.3141717613858992,1.7639901526377924,2.3029073891054637,2.713456110301354,1.9072699312530967,1.954286455914638,2.6763428201041406,2.6092129017350016,2.8935004615478115,2.0811495415207846,1.9527042265001575,2.0752785594661995,1.5307536939616118,1.6728041329972094,1.685271867705652,1.5297065318936334,1.8640386935229163,1.3786068702228533,1.1613923895463443,0.96462848385612,1.0363149319303806,1.1340796551065413,1.010127650537791,1.0875088710982128,0.8922329948514647,0.9858145131311484,0.85762466998384,1.062817539265196,1.3310017555097946,0.9764064485065287,1.1925276521951236,0.87291881298024,1.1109079588720558,0.8980138266764081,0.8337741666778424,0.8891408839981271,0.9655008854009763,0.8892914890627134,1.1545550044749435,1.0252058726293463,1.071065818526359,0.9811934620218835,0.9341437031304605,0.9145594592271891,0.9122852585991265,0.8491076811912108,0.8104594343583017,0.8068720711404305,0.9079989024666562,0.8085766038210177,0.7266469591066751,0.7137866655677386,0.7515599424066626,0.777912129608548,0.7411942137548427,0.7437583599989477,0.9119014836112176,0.8296266912453351,1.01433459153415,0.8778999819130989,1.0062724397070706,1.0944516643425966,1.089560138208423,1.1538451425033027,1.1950764330184793,1.1592928867072014,1.0607371951911102,1.0052637609590493,0.9586100081705131,0.8058261507474234,0.789165389425096,0.7439724404612874,0.7796616092049014,0.8634993846514518,1.0795876961357307,0.9794696262933399,0.8464767532083428,0.8604183045513089,0.7794837156758502,0.8137203011080552,0.6910271485429045,0.6558180075225364,0.7856484498262628,0.9331645611949115,0.9581215018338127,1.0579534664579202,1.0883623204066817,1.1512616656510206,1.24754941081815,1.2386357565260688,1.155349613741092,1.1576113738176108,1.168744979864814,1.2377061091698736,1.1104425206150528,0.9596564485570858,0.9659635748378493,0.9777954684186555,1.2753675024103943,0.9591982083999795,0.9223094658924076,0.9521487038167452,0.8574795369648899,0.8513038884361325,0.7917021013633402,0.8264147775458762,0.7963509632165773,0.9014048890171673,0.8264560741170253,1.0678365580548475,1.0980888058914124,0.9600016117255646,0.8612885114988743,0.7947188262671533,0.8900157669256792,0.827916175610968,0.9023226177330079,0.9585756475012244,0.90960492546524,0.9664545167196344,1.0494300201453424,1.255173705476669,1.2032914323775428,1.5118211262109376,2.0549582540392213,1.942765791008844,1.6686746670222274,1.3834112382997508,1.236981319479193,1.148113545067672,1.0962740149586316,1.0064018873784077,0.9711791703870558,0.9381221377082587,0.9801817268754327,1.0478176808180688,1.0586710039244858,1.2323723944662544,1.0744569794077856,1.1733569384224196,1.2464323547085367,1.182869612721845,1.2130458890500366,1.1716396912349805,1.4403566942174193,1.8567092077006966,1.6489806541322505,1.8427658648993555,1.4509384034431787,1.6864626725696688,1.6016283967369918,1.5032939586161245,1.5502471712142767,1.3257394157216251,1.3229492542229488,1.35457257673721,1.2512079328155652,1.4506812665993714,1.3400906835469502,1.2413798288142126,1.3860765704231648,1.4997773604497022,1.4178375718726095,1.425140441860433,1.5568553356709625,1.5825702933142607,1.583635042439845,1.6517434215167088,1.7184595769433666,1.7318186469468142,1.8827986018574507,1.8640477085514358,1.798499036530911,1.9562030928594907,1.8144493004161317,1.729452099388876,1.7896275723884443,1.8892771229373102,2.7363058783381,2.1419296056950046,2.105112087170137,1.9637094294050936,1.8587695319658497,1.7786267314078672,1.8847646299113228,1.9320360950805644,1.7738502295724814,1.7565641525033322,2.0137805645861944,1.9276077023347065,1.7799821512145786,1.872640462463845,2.2130693512649953,1.823933939099907,1.7750469617866012,1.5817503603852328,1.3986214342744185,1.5459526582182022,1.590789534819196,1.5110757877627938,1.6360171108783612,1.4811164128898557,1.4518347064137938,1.5242697099759057,1.4393167488059664,1.4576365901535429,1.4568156426399712,1.491904200111225,1.4820928200633514,1.5158233399590784,1.6126919596320608,1.6392858983781313,1.747751370897663,1.718108688427043,1.7712462687951032,1.7303181527586102,1.6990410604461248,1.6034171345015025,1.7049808699928222,1.7637172903793767,1.6585117585380493,1.6858814943052538,1.7759585117683483,1.7282090338244847,1.6598509325483404,1.8762534516238525,1.9153908145263474,1.7133508043322305,1.8831532613619597,2.0741971820272456,2.077624735079935,1.8918902960919792,1.648563252980951,2.0386579600713883,1.677788282329141,1.8283002321306387,1.7573115571784679,1.6009553105942724,1.7532603151288124,1.941666514910984,1.5152193354459476,1.3635204715183777,1.2133818975498376,1.637047366955385,1.3175871453593193,1.1850254157907238,1.0862584949858372,1.339575978409473,1.2211352484079483,1.34839626744514,1.0892033220430914,1.0074488392392684,1.2409720117870995,1.105205627809508,0.9025587303873261,0.9710240155809753,1.0522955938147174,0.9486196677407744,1.0509887983184647,1.1554742779878668,1.536305860070119],[1.9020930719607652,1.5171870192505628,1.262578874973232,1.0585555088245466,1.1735161900814763,1.0890359456471161,0.9818200009931636,1.03938561546389,0.8962265157862404,0.7786684180425584,0.7545627945192652,0.8438453148454457,0.8252148739710381,0.7021691111623145,0.7529014849374667,0.7961822059789521,0.80284321507442,0.7826386625356492,0.8090990628516125,0.8511405805363514,0.8979897797947219,1.032392577881394,1.042166743969325,1.1119441622388027,1.0141100717609455,0.9293393196813489,0.8917702020901352,0.8433440853488343,0.8381837263004571,0.8582037374420884,0.7903028511436616,0.9045790596670448,0.9216130652987042,0.8610766360666313,0.8852060055506812,0.8440079553195386,0.9145598996807195,0.9713487744129857,0.8970118430837616,0.9817390184048256,1.0747043053130416,0.9884072080110609,1.0108179177513328,1.17384657973587,1.6082580198515508,2.1841857929388553,2.51943075960259,1.6616269165915747,1.7927256980015238,2.438165067535345,2.2771550214346585,2.7155955124144127,1.875805767000568,1.807917851219225,2.0820120695549744,1.3315809328731398,1.5507530103473528,1.6052083772387076,1.4843797010109332,1.652203979124412,1.213198420305478,1.0090348094333015,0.8694590926547815,0.9469007329976771,0.9941586472428012,0.930589767965117,0.992464521429483,0.8367585351109107,0.9095742152711469,0.8335879046746996,0.9900871544783417,1.2253679832078352,0.9587390594597373,1.1170322605014233,0.8390866630477086,1.0755220539714097,0.8645779526666247,0.8265407167283595,0.8815865122261194,0.9498098449638851,0.9325077211221564,1.1389027092133506,1.1099542580569797,1.1176660951715562,0.9961475356399714,0.9677751283187653,0.9462997107011363,0.9463541891944446,0.8620298723100575,0.8580390821422219,0.8204120596840088,0.9102853369567669,0.8455776677515932,0.8110230622102154,0.8132020356560736,0.8521454611571415,0.8675674643000101,0.8704591636474489,0.8961523319890985,1.0933792388501447,0.9734269336593633,1.2171730091013966,1.0174016787593207,1.2100100091401842,1.2047728390560437,1.2509846657079178,1.3681837382527915,1.3568252351177685,1.3471576788877093,1.2425665688977228,1.2030946500215132,1.104026262266594,1.001496867860325,0.9213482791581108,0.7917698235729315,0.7839180995494683,0.8185411268333181,0.9440093422766717,0.8821633213169133,0.7915769726021965,0.8026460244346978,0.745089083750858,0.7841274977687996,0.7268252676692428,0.7726715724379958,0.9153110913645279,1.12912827981074,1.070273886530185,1.1797139537212673,1.1806380548874444,1.2578910302194501,1.3590019412266279,1.273771001543119,1.2139852442293755,1.1860210261853086,1.165990319810442,1.2633779155906149,1.090520617824836,0.9206933933379183,0.9063581026311222,0.9173224496587831,1.1733257263564465,0.8528113333802597,0.8713330159033379,0.9123594792282983,0.8601645531771657,0.866470092467607,0.9121540811018722,0.9653584225180227,0.9788913077196758,1.1224427001077208,1.0665434542194696,1.2749260727377079,1.3323456920992565,1.1725683941326437,1.0969291790040712,0.9862018140424661,1.0941480331015947,0.9601113612668566,1.0622443291381567,1.0168797283700068,0.9217400434894572,0.9148433096807274,0.9647693970421962,1.1039495433353783,1.101648234482669,1.3886496371408772,1.897775316885604,1.8533607847429687,1.6029915967263386,1.3179448210630424,1.1602720463857052,1.0972348841082884,1.0461393650635418,1.016890840771066,1.055496460735708,1.0055961738194847,1.0822009323749664,1.0734475150560006,1.086058715697796,1.1156186174359506,1.0995732784731993,1.1645359532009862,1.2015299432553224,1.1457526546224284,1.1064021545358629,1.0412094921793786,1.2375407951640083,1.703638457980897,1.4826331980135867,1.6768739168134286,1.347263225131998,1.6074803201158339,1.5673567026169897,1.4343146896794525,1.5074038721901446,1.3350418772195223,1.4290830429637507,1.505418921903869,1.4495471750787885,1.632027045112289,1.5530809633589313,1.4703649145466324,1.612344709000144,1.7297612144866605,1.6955282997235366,1.6935317008745543,1.8097877941849416,1.8680175106589294,1.8786651226236777,1.934972754954984,2.0004404151915414,2.0280913255569257,2.094790831243969,2.120149864335031,2.0287009552092363,2.1848353884922926,1.9964934152457026,1.952894307185462,2.0052468227828686,1.955780149530108,2.693538574125536,2.2696056836637064,2.3555420796086834,2.1274065939518314,1.964297512649015,1.9146674193735838,1.912735251988855,1.9985003667232952,1.8816412353157719,1.8069849176051396,1.9689097104723614,1.9241695805556254,1.8167988497522853,1.901403963900667,2.185759558860643,1.8512527023718983,1.8804133293526617,1.6991970127130938,1.5165538833532457,1.6395401625490174,1.7258965111372533,1.677475700601109,1.81600955309056,1.702235416929073,1.674187220696789,1.732956038431131,1.6951020770064653,1.7120071649287614,1.7300025822578158,1.7962099904258528,1.8075974666635908,1.830798080415503,1.9022206518165172,1.9595128123008716,2.074273684070921,2.013052304180118,2.0569325755142014,1.9976702589610054,1.9364259094503136,1.8344771664892026,1.847739848815636,1.9634000393327917,1.8758205865026658,1.8414967857606963,1.9226766605448355,1.9089840482330909,1.8154222473796242,1.950686318154644,2.0641011746480267,1.8809888654232707,1.9523071376272816,2.0505722452510917,2.1174771103350594,1.9709059640346691,1.9474407652985433,2.101905925633942,1.9533751504300996,2.0166213133136752,1.9522186531488577,1.8536538955230057,1.9839447601906224,2.006407554742832,1.738311153535884,1.6957163291251887,1.6790967830156704,1.860398650243946,1.4882598039391612,1.397422710315858,1.263816796553075,1.564661566087414,1.5131256072049495,1.6603935656539224,1.3948030806672618,1.3237189863178405,1.584547670320502,1.424331374793809,1.188827396426399,1.354215037855399,1.3562167611634315,1.2586289591934998,1.3582421736481423,1.3859171334970184,1.6326743515836082],[1.9853251641611807,1.465385268613914,0.9977478843455282,0.6116981886493997,0.7695967301052768,0.6583001102346936,0.5379607932517297,0.5863370815701681,0.4893977129913165,0.42679150645123676,0.4133323355183276,0.48554144602744237,0.48500356139029055,0.44242844829858125,0.5180418272438515,0.5059584310949413,0.5655040618021075,0.6123208586543059,0.7160595001594473,0.7242334161724913,0.8041373662969579,0.9078903788685504,1.0011302757475837,1.0822464397943592,0.9620502087211734,0.8393960808137214,0.7497176043304565,0.6655006161746073,0.6114401717241397,0.5320177997564761,0.5506838738340858,0.5429576905434326,0.5762897977092118,0.5528236880026276,0.5551717013776302,0.5723091617285431,0.5786115156107859,0.7437252349467078,0.6807762421615581,0.8233080800322874,0.9399151758760598,0.8447864353135113,0.9146221343709917,1.207699646433986,1.7091444431512777,2.320127676230711,2.7150346132181435,1.8070148900051517,1.9047659175120306,2.6242740831409765,2.4595645236847825,2.9457366664348776,2.01455020227835,1.8937936442396839,1.8945003812029209,1.3585654539977374,1.6382938680448509,1.5205430633857226,1.345843191924558,1.8166646082871194,1.2709803972547666,0.9861758940316685,0.7755207735196159,0.8557678209278161,0.9277299512759984,0.8068496485288063,0.909466081722174,0.7153523017494887,0.863974882162159,0.7299503304830026,0.9689252980925788,1.2481840887746147,0.9132302429374004,1.134004758373143,0.7174526722589067,1.0028511638795015,0.7189143558881641,0.6287104863456454,0.6748255120638792,0.7605005328588498,0.6210549672346929,0.9784992855860883,0.7528726114621356,0.8133894130548438,0.7530681975662137,0.6503693121306006,0.6740742597109318,0.6431297193851194,0.627170781057502,0.5944582355024897,0.6104053722497478,0.7674078044625946,0.690801538238613,0.5491675152383375,0.5362600797813373,0.6226223453332743,0.6388919484060088,0.5249092781953859,0.5013602700268646,0.6459415369263832,0.5548858257427799,0.805634528458953,0.5803046682385584,0.7470318595006988,0.8204874794796857,0.805781006212535,0.9012403790646506,0.933663848147285,0.89655166259745,0.7911833715892806,0.7662311100752861,0.666509087487126,0.567842387393407,0.5331778906920109,0.5104768655717632,0.5646629040992568,0.6597923394770372,0.9647073725009359,0.8324371976888478,0.6861452610491168,0.7158961059026452,0.6234863636079047,0.6784307893442947,0.4949521985563372,0.4389675588630433,0.5435114618248216,0.7103167628112764,0.6860724472177623,0.7571762179285113,0.7698509639764952,0.845898006279167,0.9397610220011334,0.9225213202619285,0.8116500457844091,0.8493210722731792,0.9213744418550038,0.9838142291687317,0.8579622123845229,0.7243450757862304,0.7827629202952313,0.8503995696762155,1.1364972541461138,0.7524882487730739,0.7019024663055781,0.7026899468692506,0.6242211351404643,0.6143421804924235,0.5611436450524688,0.5534457510754592,0.5534032027927732,0.6634127445990526,0.5965094158119195,0.8421260928689168,0.9928621279778158,0.8156874786445643,0.6208574323753162,0.533788001238032,0.6390946176047672,0.557820010018559,0.6164539155788723,0.6734432248404507,0.6282212093056396,0.6856925641250988,0.7588438247159892,1.0111568823656125,0.9940492599872452,1.2761901273302612,1.8491043999151444,1.7243856221918372,1.4906306080582392,1.125126252412003,1.010912110832916,0.8687896255907853,0.7940632942960999,0.7041092032899428,0.666717920560064,0.6368716132540301,0.6838900069395859,0.7434941608720782,0.7310878291196271,1.0163305595987548,0.7497752814051225,0.8489615721879433,0.9030140418759318,0.8537911150079532,0.9046230934781239,0.9235509895591889,1.1855832145514535,1.7417633264648333,1.4130958069238448,1.6176120294354193,1.1933269928079258,1.4616717171882905,1.3515681592783153,1.2013623944758383,1.2961453141734445,1.0341390305054527,1.0710982207591624,1.1413188896724438,1.0332188328287877,1.2030065767255778,1.0811385726600695,1.006998879998937,1.1707732630646,1.2606040865578962,1.2427508759370358,1.27972905597019,1.3727946160118751,1.4070094408840916,1.5008167079610186,1.542445831503844,1.5791622517150554,1.667973711307857,1.7865839897966183,1.7734909000460828,1.6715879880808744,1.7423160919306713,1.5744267827879277,1.4979180579565408,1.547887642342615,1.5434118392375837,2.309508242526096,1.8098805565590934,1.9053414625536211,1.6817617441333492,1.5349440707327628,1.4895024758508018,1.5711319659121392,1.6391308835482798,1.5135940529203462,1.4711551357895112,1.6931427554947156,1.6415497555048,1.5252882022168004,1.718610446696259,2.031348014107057,1.6355832162146033,1.6666791806510182,1.356707458743514,1.1307146532458954,1.2605350575715581,1.29915221484375,1.2250110604073496,1.306916737103846,1.2500326929736032,1.2039885851369205,1.2381953570180628,1.1929616336497957,1.240818554932972,1.2348510094490424,1.3017840864760113,1.3413534825555378,1.3736371995237868,1.4307152309453215,1.4975917150931368,1.67952841383981,1.5874903114574834,1.5948676966666444,1.5203604854871555,1.4473133129943585,1.3474034203780219,1.3943924452998029,1.4821358806637863,1.40875624622838,1.3986231186804714,1.4862960650257282,1.4598785590547554,1.4060590096827534,1.596541291458247,1.675984943023334,1.4900983860283161,1.6485434524651497,1.7999568902977698,1.8770231167072442,1.6941574345613482,1.5052884110982745,1.9959391077440585,1.6591088599249282,1.6080264012247312,1.6163900695650615,1.458609935669519,1.697739885296924,1.8651245448753946,1.4081025928909214,1.334263939492624,1.3055273179500047,1.638076362491967,1.1313560988734106,0.9848054477814432,0.8471023552994029,1.2059528022623585,1.0560299359813872,1.2081181230795335,0.8883165773906535,0.8592500066393012,1.157442075831295,0.9542649261927022,0.7206343470728152,0.8565439073334498,0.950940954187214,0.8090616390490823,0.9448960048819595,1.0629640431489888,1.330234071459602],[2.0795881457174423,1.6574008373710845,1.0467798520404383,0.7880061695875265,0.8501381406228568,0.7987769026923242,0.6267800523783783,0.6694558424424693,0.58863435089564,0.47949728862511726,0.4797212338828115,0.5349059980933829,0.4971650816545021,0.4773951814326782,0.527937845296283,0.5026665420302158,0.5696627777663813,0.6267884821635782,0.7949153635111966,0.7327701636012156,0.8432068579314882,0.9549425458662849,1.0644600756525264,1.1580594585446922,1.0029265957557794,0.897922839828988,0.7681115929725686,0.6821425345198139,0.5887195805776131,0.519702167466301,0.573871966084912,0.5178379649607951,0.5605211941861709,0.5197612131129111,0.4935176490514627,0.5560162072330176,0.5131671409025939,0.6779637481332037,0.6545885663403537,0.7834333906430002,0.8975064580214756,0.844470684321817,0.8994271104708292,1.271166696128748,1.8465483459495404,2.517279668403562,2.9039411363736414,1.8656755896255892,1.9688726371148466,2.6905729969967456,2.3936704029062543,3.093304700174094,2.0768387898243104,1.8895595779877092,1.7768445246336837,1.3294008106130628,1.6674561041996485,1.4232114931908137,1.2812970739969782,1.9202665532267347,1.333121910719973,0.9954603157836458,0.7992625996777504,0.9297503698390887,0.957290117005849,0.7927380916512689,0.9117427758491709,0.7600896712943334,0.9217746143707802,0.7865403589398666,1.0080027312822277,1.3169182657776253,0.9925992266386265,1.2027329807426477,0.7597577019130152,1.0787774846322382,0.7350518689828497,0.6514302332983197,0.6529559681127636,0.7147170635543266,0.5748429710213201,0.9580759401843415,0.6677911198893821,0.7220271450692158,0.7710321916191948,0.5587423710445604,0.6429078625159527,0.5819384998832094,0.6029960435104111,0.6091205860850265,0.6063218394049227,0.8385895847868073,0.7722003280960872,0.5702095678849821,0.5517093488843896,0.6504925819426439,0.6476268780043405,0.5456833598573753,0.5223721539916244,0.672440136446719,0.5580595890703729,0.7824234627117066,0.5490662563127893,0.7038918278061661,0.7361671104387042,0.7425358827493199,0.8191439280097849,0.8528868643589257,0.8346457640182358,0.7537569273491412,0.764454421311387,0.6174231726621005,0.5843755255147376,0.5191539824175745,0.49891943641922204,0.5690929592846278,0.6661781195614788,0.9558531464133189,0.9403688797323355,0.7212883153836332,0.745077999750348,0.6460303866545467,0.6827558121381772,0.5052833777595477,0.47297279155636013,0.5495249554837439,0.6915961935341025,0.624454535251105,0.688586023956929,0.6776536510813727,0.7413860978123306,0.8126378850299231,0.7995516985840998,0.6836957395628513,0.742153768706422,0.8495777412151406,0.9224784349695221,0.7776774633706708,0.6928599854648152,0.8425256254851416,1.0264734496613552,1.253444431750713,0.8239593763473481,0.712665830646808,0.6907859616517585,0.6122703165508512,0.5879609982508852,0.5302663137025938,0.518964348779281,0.5704985607585453,0.6784863209387642,0.6778134222505982,0.892064083573949,1.1237578070972487,0.9353989387856819,0.6847884853965298,0.5624736838590394,0.6394256608987199,0.5209512061372722,0.565014923013323,0.6096793433226501,0.5508711925142817,0.6398627849312405,0.6816479829765485,0.9381625950428072,1.0033338599562074,1.2197197199492256,1.8252428361882707,1.6794127636969842,1.4591808538883253,1.0577306683608374,0.9591882639096115,0.7828750009968375,0.6946040751720881,0.5936557524522413,0.5503346530218305,0.5425508380074807,0.5738087675349444,0.6219913273949791,0.5865934762358048,0.9846097702462765,0.6331641007621269,0.7160429910101938,0.7827478788537069,0.7466538850476206,0.8194505617365409,0.8616871565283241,1.1421115087523204,1.7927911739070421,1.379513972239671,1.5915897438764834,1.1265020231013285,1.4187998227214058,1.2945525022833562,1.149267339921187,1.2782590845824104,0.9319811535861308,0.9482425977925567,1.0325776713570354,0.9447124474406517,1.114803110207465,1.0498254518979786,0.9852487888585634,1.1437443494875739,1.281049506468603,1.344166543350295,1.3677349652321142,1.4656906203838649,1.5803759595749733,1.7157574128003183,1.7573846558404675,1.8431713994911836,1.974195752979855,2.0289557373936873,2.0873394253873028,1.8983491070969796,2.002591922021109,1.6695545818277429,1.6021915074064828,1.6803121752092782,1.6046795803930543,2.261972232560897,1.885497232987057,2.0000589653658727,1.6593961503743921,1.4615481402159998,1.3987845721357584,1.4024945277901473,1.516424603204139,1.387609192007271,1.31223048983527,1.5206947297972837,1.4984290686885782,1.3517744072609454,1.553449546780681,1.8565611860851492,1.4856299719723984,1.5270055119172758,1.2191992073029494,0.990074605948044,1.1052150673586816,1.2039751555809035,1.1402652987250819,1.2618685586297052,1.2270799749394319,1.1526590127005678,1.2447522541840135,1.255836001862592,1.2804101661656422,1.3345755933735752,1.4898226585818286,1.5822635320112146,1.597196477572313,1.6435353729196702,1.7710934195146155,1.99544410478692,1.8461879442009144,1.8492613208405198,1.725338505463348,1.5838580077898545,1.4195931170593203,1.3906299530838018,1.5696212635474087,1.4881315075484258,1.3589735687235505,1.4647620613495627,1.4893487702100894,1.343496610045372,1.4697487062138537,1.6254784296324432,1.4253929070438331,1.5007100568214282,1.6568719439516157,1.7615329525453185,1.5785848713583661,1.4905839400148342,1.8477241836967848,1.629875524780551,1.6759320997558813,1.6777358779716796,1.5525706656022171,1.8619038186275247,1.8692600673722823,1.4413682838707111,1.3884313673841076,1.5011940537075517,1.6159379399942042,1.1324409371865873,0.9345038294071205,0.8272169652510117,1.2471083964433567,1.0722731927679003,1.238002202731036,1.0093705279007084,0.9677864645096448,1.276408277514932,1.0954084521222165,0.8479929943740777,1.115679858644642,1.1431004705504706,1.0297619931811406,1.0985050620258916,1.171534346603262,1.3785777927692624],[1.982014449882149,1.6163052030789478,1.0289863119777587,0.7896988729537188,0.8250718982214464,0.8046615753733621,0.636399566146892,0.6826415504682908,0.638629438751544,0.5438486730059164,0.5638236229734662,0.5992752091785957,0.5462983445806023,0.5643061623557352,0.6120707617887786,0.5794784126678811,0.6399370631064758,0.7152666418516506,0.8894861923722783,0.8365727163721409,0.9456293405875145,1.0214081234283436,1.179622147208586,1.264017825489053,1.1058347258975159,0.9968216043929926,0.8451221540379577,0.7511118481674163,0.6565448312030896,0.5780141358917644,0.6668640370605127,0.5784247507874216,0.6153333468224325,0.6121895032821211,0.5681448171271261,0.6386094018896351,0.5706233324495368,0.7383432128713244,0.7190623250535106,0.83590674894513,0.925134615696125,0.9089454959560295,0.9817697068126294,1.43336456167203,2.0420841745726985,2.7152242604593217,3.184008472848004,2.083138137252327,2.1222372174996176,2.910206270132382,2.6101154948409295,3.277242949058543,2.2512989250705404,2.0454924690494467,1.7784266249180976,1.493121931459441,1.8176312169622222,1.491020011743336,1.3330477714562732,2.119651111376231,1.4749805019887214,1.1215791724641577,0.9191334697252067,1.0714832015792553,1.070726308542908,0.9101127231244805,1.0157219553308192,0.8670347003319435,1.0303954536741542,0.8889900046780307,1.1042116027307929,1.4532677580230922,1.1042606530404393,1.3061462270294708,0.8753728164130722,1.1686031321115993,0.8488949119596052,0.7679348300631401,0.7451235620222076,0.7941147366337767,0.6325986177856835,1.0007854003102439,0.6875262603431336,0.7681376930898198,0.8187971571614086,0.5899854505098172,0.6900120278762477,0.6442322451190314,0.6874330200044856,0.6839700967377329,0.721293421507504,0.9447742260653452,0.8808749663502475,0.6941243327496811,0.6559128040857812,0.764304270360763,0.7430944604084746,0.6176254617362872,0.5790287790869396,0.6670366541631239,0.5695004610134583,0.7720525571284961,0.5390292401687076,0.6708846440257922,0.6800684733583678,0.6956774185017952,0.7718599559019745,0.7748575641112155,0.7740027092217827,0.710812970191631,0.7222153008842827,0.5790952053357055,0.5793130230423217,0.4979493501735127,0.5408352711045039,0.6128939433903562,0.712541126237114,1.0126098582850462,1.0050057440175726,0.8149614184244858,0.8451987953772057,0.7330372814310628,0.7618559224467183,0.5565255066776976,0.5083886186348711,0.5240436352840506,0.6634270410755592,0.5838155715167143,0.6107331783644919,0.6050789444310961,0.6608837230602549,0.7515973305698558,0.721569630424421,0.6037814639690325,0.6538427196732571,0.7820861498647149,0.8128749153862583,0.7009196052142982,0.6550374854722196,0.8942819747325428,1.098735336439588,1.3285490573633882,0.9084960235610928,0.7589783001028813,0.7336184079192185,0.653533906334407,0.6168848685904776,0.5362819173524703,0.5115005922366711,0.5747914231754411,0.6586695046941627,0.6857516710710078,0.8888032334243198,1.1592651862641574,0.9468725980112163,0.6947799308933051,0.5776938923082494,0.6266384824255402,0.530256573156363,0.5429919440019682,0.561434758414949,0.557216519474965,0.6694353017021174,0.7055401406284874,1.0006319780588437,1.047994231803019,1.2528600333699689,1.9001169325461977,1.6586601658521174,1.4252630057810785,1.0137640041945393,0.9396758181078305,0.7503908434455486,0.6634897824929126,0.5629922763914746,0.5175207457726175,0.5454780133617915,0.567325688870371,0.5899149289955334,0.5550641501351695,1.0441400558695906,0.5861589797179078,0.6912200681043559,0.7481587504930279,0.7261459650762636,0.859026567715914,0.9476749186580761,1.2589355745148112,1.9255435371444982,1.4786139518997026,1.6839026971248552,1.1291616424297286,1.359513688817374,1.1813996659379404,1.0772506048292785,1.2281322697387083,0.9036523485322571,0.9434271754894743,1.0385138076048852,0.9405174857556959,1.1094937613832143,1.007022002048565,0.9383968794876137,1.113489033433557,1.2317654891077023,1.2591108034525453,1.2915508073771476,1.403742224275314,1.4848804141361251,1.6094121298867918,1.6630216961123214,1.7435397854129526,1.8628536875173964,1.9333961144688887,1.9858460272584502,1.8043452185269033,1.9744714544255266,1.7035002889707107,1.5916853898901528,1.6742911474598867,1.6194569231923877,2.420432237810956,1.9024668148882882,1.9743864022191662,1.6711190675920555,1.4874950030334833,1.4182740500217594,1.4966957946790669,1.5961208833471157,1.4416329286730978,1.3799000054182653,1.6433163350974138,1.5955059087600332,1.4454691426442252,1.6838990064220771,2.009759912534291,1.5982070831672028,1.612363936003585,1.2696886377108854,1.0106719081930386,1.1454210127714277,1.1988388517791626,1.1198083540208708,1.2213014636636539,1.1857367578714657,1.1194570390738854,1.201906585467544,1.191476233371563,1.2304960856988134,1.2488540546396165,1.3841437285765137,1.4695321322051087,1.48862237088583,1.5396408016167413,1.668044357681612,1.8985064370344222,1.7561296077839303,1.7627423097034742,1.648033290532925,1.5201459873999066,1.3605844942542025,1.3772432692690628,1.5494817967556873,1.4460554514765118,1.3665288753561702,1.5023986801290594,1.5006391752523391,1.3742946653765842,1.5850674829764106,1.7304318803772372,1.4997402604612675,1.6217813247906157,1.8318892084491285,1.9434332460387702,1.7301896210303445,1.5696181127367783,2.0319619716567066,1.7376746534224436,1.7466461835421345,1.6716686452683371,1.5051869499437116,1.7576194854544993,1.8079041583346858,1.4171374056925206,1.3931000520299721,1.4570809582112032,1.6527780808798096,1.0695489412350343,0.912913764170401,0.7689172137295696,1.1932649616558453,1.0893684776537111,1.2823353340943178,0.9695820755627695,0.973348980279036,1.3246002038115408,1.1277184456848057,0.861081459649056,1.1484065118462286,1.170841660414376,1.0597203360615222,1.1382055779197189,1.2271864716784597,1.4333322339633165],[1.9763540390533731,1.5906550248435836,1.0138075917761102,0.7826366140363277,0.8233066590777188,0.8215674273268373,0.7026832461908215,0.7340213185865286,0.7720966128769892,0.7057167792583414,0.7346079450315539,0.7373951659363202,0.7184878621836067,0.7429373649729728,0.8035923013864757,0.780940641776792,0.8363680316401022,0.9222153853919689,1.0865167888155824,1.0314155467954327,1.123248248383439,1.1881362840605152,1.3190174947848858,1.387015597401092,1.265781893884481,1.1577460766759748,1.04616514474463,0.9423389271568321,0.8716243533162009,0.7658222568903023,0.8712731927379946,0.7375056777832009,0.7839307601832044,0.8115069213749383,0.7694077084764895,0.8341350613156439,0.7730435243940593,0.9439869938651694,0.9379780707934487,1.0639646083846268,1.0983893705327332,1.105368983711969,1.1970164430225703,1.7311554013405586,2.328235503846933,3.0026998014399697,3.5326763774620566,2.430987961458435,2.4339413796525333,3.266233993531144,2.9639700283783452,3.621590159606835,2.6006242905634593,2.3444843205059467,1.9066981969109722,1.835934865023049,2.065555499715177,1.7041171974997487,1.5530675563617757,2.3948173414765455,1.7279350212405118,1.34846532807472,1.1216864463941538,1.2358750424190126,1.2765193435880533,1.1037258935336072,1.1742659941917266,1.0656031780068835,1.2058779739059242,1.0697382272508458,1.287889813614993,1.6286136128228141,1.2970523865735835,1.5109674348816122,1.074025115865271,1.275872593933045,1.0738136572134507,0.9985280493960675,0.9699465469804808,1.0187774415501027,0.8689452517098979,1.2392939815247392,0.8956326206341562,0.973362936996993,1.0114251774166,0.8166442749467381,0.9105359799968822,0.8549414243606995,0.9084389299402633,0.8843891740241189,0.9455718648783596,1.1477545402222908,1.1157402273074717,0.8873411920400492,0.8266627201209207,0.9379813580933998,0.8838023598419414,0.7587084509311235,0.7111556567630396,0.7321397267913149,0.6752590649174565,0.790359433692064,0.6518511800974907,0.6615650791440951,0.7768303885803264,0.6978381896069935,0.7032825217265573,0.7261253249748237,0.7100288558554302,0.6807914100765271,0.7027352588406174,0.626784020639494,0.6498269383302682,0.6125121462241773,0.7122630379771018,0.7748202475238429,0.8793551217317797,1.1284063077070337,1.1760110373438997,0.9975350372685359,1.0095280807184759,0.8983800942922333,0.909367101577157,0.717417663357743,0.6497660513395785,0.6322778956521212,0.6948783163976724,0.6400651259518046,0.6245559782601056,0.639937274717743,0.662031914411025,0.7087235200536344,0.7776925899519024,0.6638140576442277,0.7306878198525351,0.8733818903035986,0.850448462193259,0.7507053160018974,0.7458519883201534,1.08638657733085,1.2602392969457374,1.4954654257265985,1.1132833180361368,0.9527484194134241,0.9292778624447912,0.8499823064973594,0.7950315839990312,0.6816089721557584,0.6159759171174617,0.6842418093459489,0.6828734038945272,0.734425040281211,0.87627205376616,1.1885657356180328,1.0269200957783602,0.7480303874947679,0.6748551067665204,0.6775380585598825,0.659051992290026,0.6277113764666231,0.7007416068906334,0.7520868131702478,0.8700864635370206,0.9207772974553328,1.2147073054864805,1.2033577546320369,1.4173779593650189,2.0514558725708394,1.7346280019590905,1.4904748814649813,1.1137633026229392,1.0692493521397155,0.9131021302631712,0.8469876435623831,0.7477828932101549,0.6698170065611203,0.689324734686574,0.6929690352028864,0.7630817566752703,0.7264200665385347,1.261355003567105,0.722507156808265,0.83677744313992,0.9020243211990782,0.887704533520409,1.080368057526061,1.1991584808339772,1.5096528414098156,2.130819498361241,1.6973408620632815,1.8892512445984626,1.2970033103255865,1.4599701673743335,1.2487057999036133,1.2007672722355005,1.3623034374314194,0.9803831631473304,0.9577844315972271,1.0160534020916137,0.896533228798793,1.015048285894021,0.8848235507614263,0.8376514941239973,0.978882778099505,1.0555411876453744,1.0869729372824484,1.141780628161393,1.2164138346920317,1.265123350355489,1.4394554601946665,1.4771910623755358,1.5300626360141238,1.677855127455699,1.7812423325453808,1.802893869042722,1.6177475111036388,1.740297525731328,1.5154208243195049,1.3827950943040317,1.4532376491550278,1.446045690673866,2.213809419169564,1.686689757205893,1.7209649554473125,1.464121676491887,1.3236929352153968,1.2811328883752573,1.4609026520127169,1.5244102204138266,1.3532460273424063,1.3471967312499102,1.6633807395532065,1.5805340631003582,1.4343868590666846,1.7715585397160312,2.0545401679110307,1.6157241012783947,1.6345776847120521,1.2285681835841509,1.0026500349430787,1.1244571399964591,1.0940797715324364,1.0277718894055503,1.0657317062411173,1.0837196669781193,0.9951590089546685,1.0147102583295278,1.0155497384019836,1.0784077916846513,1.0478980579329902,1.1633604382889198,1.2693062139778166,1.2824183147331811,1.2981481761444638,1.4242921858713464,1.6945776947519322,1.5228595314285025,1.5031770417157828,1.3958600894935165,1.2791273335945395,1.1478296863493234,1.1884667417340111,1.3158007008167842,1.2341749112486486,1.2024073189530113,1.3231958273660724,1.3012042919821765,1.2310733899482418,1.4818259763361137,1.5808130746432993,1.3586461974057609,1.55358632329199,1.7684194620683635,1.84824516388579,1.6365834126246692,1.4082336377023619,2.030194850617692,1.6587832125029986,1.5807786422065628,1.5432921499220307,1.3461504536714723,1.6257301187484605,1.7639642941667917,1.3014987977539472,1.2561214550248274,1.3215597791865732,1.624243227097105,1.0175597334955848,0.8631929392788801,0.7417834483536854,1.1358321963731137,0.9993727858881101,1.1719182213711168,0.8907566313970975,0.9191845953274547,1.2556849329790019,1.0513486861945656,0.8425855821934148,1.0655660713010986,1.1065556505044092,1.011725799466081,1.1033065949528535,1.2830687295455208,1.4670505962358338],[2.1045023648781287,1.7852790544257953,1.0206596063284563,0.8530281106248478,0.8418517338591064,0.8731278450498234,0.7628771994739905,0.800747044398139,0.8686389136335013,0.813256619890022,0.8510913099525229,0.8483948764494794,0.8208716200124201,0.8648585217205624,0.9168395483685221,0.9036350905777183,0.9468388743840991,1.0498538126783392,1.2103963639659194,1.1594051541063273,1.2400492249929265,1.2833598563160549,1.421185043925656,1.5024437598408533,1.3720545309316852,1.2779523853691177,1.1569155706489052,1.067750619065739,0.9962935186393977,0.8875462238853585,1.0260009419726923,0.8631068112859607,0.9257281340883364,0.9623016109604468,0.9021661885916327,0.9729911224223007,0.894336509098116,1.0695144265809897,1.05360697998901,1.166525553578908,1.205433780890721,1.2006168377658477,1.2845966795654742,1.8468938271501298,2.4828362668282584,3.188402020749884,3.711998768478275,2.5366762846506217,2.538526960216615,3.3607558974411043,2.983993836612706,3.7644405532099103,2.714534339961408,2.3874718123525276,1.855784744870527,1.925367155765983,2.160659855707002,1.7136460009136316,1.6019641145936843,2.525439166781324,1.8528718732970537,1.4638208580600713,1.245036350717168,1.3934123793646647,1.405048172770302,1.2240631157606594,1.2856961346456393,1.2112055216814088,1.3332411767547419,1.2086891222016989,1.36347682749935,1.710677302514257,1.4150509553502393,1.6007269579138708,1.2103426129102328,1.4056791241113267,1.2249654053964725,1.1584997324011603,1.1161160773236214,1.1334076605429653,0.9915463965191198,1.3306823815901605,1.0017927420091488,1.0650787994346784,1.1272066104514789,0.9328131098419636,1.0385731685852582,0.9753278281142096,1.047181340055728,1.0322831430817252,1.0920748888800091,1.3069924720889239,1.272876147917205,1.0453326286623963,0.9699007237891196,1.0784820711470589,1.0162978604347155,0.9139206400997991,0.8483451467228522,0.8194708834189364,0.7924020981894243,0.8521175964033753,0.7632761019009058,0.7317524430579114,0.8656842282150787,0.7733875679970679,0.7687421189497846,0.7963092832873657,0.7357565492050261,0.7226671468696582,0.7571866364957416,0.6975801349692674,0.7303181464163895,0.7230345132997549,0.8107974952651662,0.8816821566372591,0.9850307542167956,1.2293078932118437,1.3055686103845472,1.1134455759970054,1.1055268447259918,0.9861032993216647,1.0037007668029092,0.815768248364437,0.7523295018641228,0.7419868313367757,0.7280023389006667,0.7081077745411165,0.6722142034922295,0.719527442531282,0.7327730401662729,0.7570281059892905,0.8803991190661745,0.7671713429105014,0.8413648992774265,0.9623851440239048,0.939030885697023,0.8444432448189114,0.8590895778517053,1.2397355010650237,1.441336379146831,1.6434803046154551,1.244246429461963,1.071623127754676,1.0579295126139237,0.974164769131122,0.9054899454684472,0.7941356618479879,0.7333831955468971,0.7610774034297765,0.7506102874269086,0.8407148670713361,0.9525301202668015,1.321950412024364,1.1095915614622238,0.8274214655400902,0.7762243453465895,0.757459299182852,0.7675642928486156,0.7193579114256349,0.837008471771074,0.8695103956829169,0.9987860798013926,1.030659734770629,1.3031242726125327,1.3230778230944784,1.5165267169213088,2.1472663988858294,1.8140610713054257,1.579880405385201,1.2196777495725937,1.1738071713398741,1.0317284507691096,0.9626014200475072,0.8704814566510338,0.7944363608730518,0.8125667795369549,0.8083372973113495,0.8788567500862061,0.8378049232349964,1.375995059942952,0.818028510725386,0.9413162523838209,1.0218184730934956,1.0243583557954012,1.2180597842141947,1.3161442907011371,1.6157614584866593,2.228421701146285,1.8006146006143071,1.979881064227542,1.3999954650034516,1.5544308565502838,1.3471537194542178,1.320005428579581,1.470053098665749,1.0663828986115247,1.0014054840995121,1.0331515043651391,0.9110253610169301,0.9988947019552842,0.8899592643200063,0.8461020003957281,0.9767329743417256,1.0619619680014118,1.134351690023297,1.1926258019343607,1.256984000719379,1.3380926480606214,1.533752901404665,1.5554453025964508,1.625676712514226,1.806731788867286,1.8805494212378309,1.9177681034381722,1.7114267932391731,1.8355468217328095,1.5312066419218506,1.401769386625799,1.4861878027829243,1.4310054298043677,2.1643562509183005,1.689050645207173,1.7327778013897945,1.4506405934908502,1.2804317221941006,1.2199579903934268,1.3919517750115193,1.4548876202865944,1.3015714282781932,1.2851148595215978,1.5830322828425316,1.5102037053749693,1.3833642906517123,1.7614882084091994,2.000243912276963,1.570413061941598,1.6348037514457878,1.2086546965407001,1.0134426205741534,1.1028848935835696,1.0783410659717036,1.0195741887101217,1.061973089748048,1.1037630119202542,1.0067534197084167,1.039579176148339,1.0738647765648561,1.1178538417315314,1.1005892547182596,1.2601292226492964,1.3906210453692207,1.3861233994397866,1.3877777525506783,1.5569722507084351,1.843666994571783,1.6324517909295915,1.60849549856817,1.4779251302624103,1.3349476692487694,1.1777671610553273,1.1885157501591732,1.3366436473937149,1.2602945874520715,1.1779872353774314,1.300806781215596,1.3056481680942502,1.2091484622304698,1.4259243699492328,1.5557523047836417,1.3325240448315991,1.4990729780186143,1.6681815598391578,1.7754032333969598,1.5740307089847667,1.3904467411001715,1.9234041986840427,1.6309265420078916,1.5828666839050904,1.563251513147739,1.3774860800959365,1.6851656503951424,1.77419208471643,1.2936259595003141,1.2714434089574609,1.3906794109483684,1.5794172476678756,1.0003746224736392,0.8845095648278647,0.7571615456253454,1.1552879220157009,0.9834209464516374,1.1410167588135598,0.9552127037749476,0.9402888395778138,1.2413173975553724,1.0596391556270128,0.8676731434805928,1.1378324116486405,1.1787411298371067,1.076348776139004,1.1551396684181658,1.342867489272403,1.5684980865167317],[2.034454144165794,1.683799584495433,0.9965338382852739,0.7997033580106893,0.7985090802116301,0.8577746842691132,0.7600900152461014,0.7888326171262069,0.8613844642925842,0.8262111595036209,0.8728358244055913,0.8524913416019727,0.8511474643541828,0.8970492915946503,0.9694571277817482,0.9433510632717628,1.0087619447719258,1.140809247465844,1.3229368043319394,1.2908296540064073,1.418021663864819,1.462468849346645,1.6436911669459195,1.7512239178989841,1.5672595749434974,1.4478846014832054,1.2926065156826752,1.1654375362231049,1.078186153312152,0.9540969648330087,1.1214643903594552,0.9059832230320046,0.9983823806972272,1.0892272118805348,1.0041976576069633,1.1015333982781814,0.9721491895756317,1.1813819257368836,1.2103708353559064,1.31262570182508,1.3598632293184554,1.374480002052534,1.489780073230965,2.0843383846697376,2.7281815264372273,3.437717561915126,4.0449756973101145,2.8356353516062995,2.7929024970521925,3.6713378530732474,3.283238060193863,4.021634333426319,2.993234387898149,2.5390673237298373,1.8885407165366377,2.171088343129889,2.3377595110398337,1.8381791585012244,1.7795567110415618,2.795103206967216,2.0294347156344448,1.664513590496313,1.4572771337215207,1.6214231069081622,1.625454075526273,1.4104898234443441,1.4515106351950071,1.3514542969011625,1.4639082658410891,1.347402647747924,1.4950928427716008,1.874278698547855,1.565458646514241,1.7220797171486264,1.3937116347291947,1.611084181972327,1.4170645764267331,1.350209312973074,1.2995331824600957,1.3349840667975978,1.1628216733895806,1.4632177964642294,1.1441416241556484,1.2845476730298664,1.3423783625085934,1.0738126900112765,1.1951939039655335,1.0936124917223362,1.2043285381704485,1.1731390733225036,1.2584050785448115,1.4709450811259202,1.4105976080593523,1.1598707955018646,1.0539938999048515,1.1749780603155304,1.131288221416936,0.99214102289143,0.9023131606459034,0.8566873104572759,0.8344186267364703,0.8508645029657861,0.8139006952540188,0.7546480917278567,0.916454716288589,0.7884872021417864,0.7680621789173869,0.7793167383133125,0.7074029109100001,0.7407817780678441,0.7133976832679806,0.7087861087287921,0.7142780213126003,0.7429950802605662,0.8307990814758267,0.918029760333356,1.0640709034370277,1.2998578404415848,1.4191207530703884,1.2063957119398092,1.1635219319219858,1.031479296347573,1.034776018028299,0.8235099471114707,0.7304661032769608,0.7545178247618318,0.7082349687006562,0.7098351998061342,0.6677339217392805,0.7586236789625692,0.7887990225629643,0.8201934099239703,0.9908249883524601,0.8897849995609072,0.9553050052067728,0.9992586662208653,0.9510666421239969,0.8934453955292008,0.9195072263634347,1.3116025134584817,1.517293031111628,1.7898552812593753,1.3813550185737657,1.1693025744335035,1.1876707115670453,1.0620920949609514,0.977095525254094,0.8533228620156792,0.7683949070510568,0.7636510277526514,0.7254629131593036,0.8131746674369461,0.8985422532671542,1.288316723827171,1.1499173007766432,0.8178166769924713,0.7834010329390134,0.7570168390328061,0.7870471051072327,0.7561572122799615,0.897043014487481,0.9694827104062339,1.1077019722705697,1.1780767671232826,1.4623712494661054,1.4990081590486635,1.6834762905690188,2.298388066606514,1.9406062097274352,1.6380578157550876,1.3336943126248852,1.2384864410402767,1.1524420206950328,1.0877355760950849,0.9963049280870746,0.8810061204577347,0.8835137520433727,0.8854999176277257,1.0236642345893154,0.976689931015557,1.5175501318839633,0.9063762843109318,1.102702104429672,1.220273758687627,1.2482998881808,1.4659651189954193,1.506910457062884,1.9063576475083932,2.479071860424672,2.0994504710842072,2.2451064230033593,1.6305117143069146,1.7188242583769593,1.4964506251670007,1.5668628052599505,1.698442245658929,1.2084375707252297,1.114541673680279,1.0777897401984342,0.9134125151329531,0.9707828688303368,0.8013435286751499,0.7588449769224013,0.8935192190143442,0.9470401036541689,0.9891991364837976,1.0571202471703869,1.1237006166087202,1.18485865061446,1.4047914482542854,1.439032684768486,1.5062157905497484,1.698579350617287,1.8033355310676886,1.8491203927676463,1.6254013692132172,1.7461341736879858,1.4611849776903965,1.3000100721019117,1.382885478848049,1.417633357541929,2.1328964521073783,1.6462419535574129,1.6045837587070535,1.3790870304894058,1.2793733222501542,1.208693240770898,1.5161877502848704,1.5527862919785316,1.338479698161269,1.39561973596187,1.7599382127257788,1.6364683165534626,1.5043841488882208,1.8958952325761602,2.159884259629484,1.7288384970970123,1.7381529147408024,1.2550280949792623,1.0848688500125585,1.1862426936951491,1.045463099554549,1.0045345418378195,1.0035620027322174,1.046696227914045,0.9215020763917618,0.9183842326453168,0.9288969682099515,0.9840079224110997,0.9416123452364672,1.0862753105450296,1.2285606662202757,1.2226750400498372,1.2172497035054222,1.3864373180646803,1.7060560269829466,1.4875388581561986,1.4503774985077789,1.3208063971519426,1.1888421228576613,1.050316114975143,1.1241823668605933,1.2259160059438938,1.1360939813767428,1.1276872850170216,1.2574763481404978,1.2348711105494161,1.179653886746526,1.468578718470779,1.5579824269606102,1.3228290084490069,1.5510332466224923,1.7808126640683462,1.824852149972961,1.60760500431131,1.3561770864573415,1.9893989515716128,1.63633470657029,1.5526012841349845,1.5074198831525663,1.2768391408394335,1.5879534665947175,1.7355551562394156,1.220733001315347,1.1866932201055673,1.3059277649345908,1.5656280552045096,0.9215990455399447,0.8457558584878739,0.6996314448491731,1.0621955389900972,0.9360932235723771,1.0820966845895426,0.9217285901947304,0.9153451833781608,1.2084389896413397,1.0288145117796756,0.8568448353191038,1.1012585888416249,1.1513490337535135,1.0576120057071314,1.1387850998842883,1.3904329002065232,1.6336947676992541],[2.037321297992885,1.7609555557977383,1.1124504031635125,0.982459688730597,0.9756073886798516,1.0461545479653742,0.8916158464653159,0.9351453256686006,0.9963023603986867,0.9208768122893364,0.9648434021877498,0.9546095809622612,0.9185571299724671,0.9677705848770128,1.0135827330350928,0.9993822975586903,1.0302033650615536,1.1545588720559536,1.304289563002581,1.257298367931644,1.3529670762710737,1.3831125218993259,1.5340725679981941,1.6348531629451306,1.4617894533276676,1.3783084238929166,1.2231812429186202,1.1509869544622375,1.0834900996042254,0.9786375863838573,1.1454403584119037,0.9629710134688287,1.0513053366422376,1.0923973031520544,1.0208624417547254,1.097645391039823,0.9814901163966205,1.1516780598688976,1.1310219075747279,1.2093744536937274,1.2573747222527294,1.2842863657528505,1.3647151278078773,1.9457445908934148,2.617266316814228,3.3412663251705212,3.8628369106198037,2.614611093971311,2.6010423815335812,3.40927219661792,2.9616033822840193,3.8624386150101317,2.806913890456395,2.387387376051055,1.7684593386355967,1.984156314101036,2.2281443277558193,1.694471093543823,1.6388983635628112,2.660574443737154,1.9549776942463728,1.5807514344471612,1.390400067528889,1.5414622044758182,1.541804628873291,1.3466240189386924,1.405008571567226,1.3195124356757786,1.440506854529337,1.3358858852799718,1.464034165296439,1.8346832336079477,1.5384630296900041,1.6812227604279864,1.346001751222518,1.5314987497512487,1.3592277683369094,1.3013171622566724,1.2451287960257917,1.2521730339263395,1.098748411191451,1.3738917718212642,1.0886529289210587,1.1268289574151273,1.2238527542089068,1.010472779075417,1.1401439352926568,1.0704207656496072,1.175776417577797,1.1492524465141822,1.229884425377132,1.4404464865175517,1.3962753622313253,1.176089378415993,1.0781724524236387,1.1997222653525852,1.1422122941758555,1.0361119631861164,0.9688785768483159,0.9480222182593642,0.9206569595228631,0.9544619291304058,0.8753867947653813,0.8345986737976947,0.8717950503342459,0.803657707388545,0.807544634154872,0.7991049979005047,0.757265304202107,0.7805598658412595,0.8095349995101142,0.7632227550975569,0.8176006741370572,0.7917971190133414,0.869145658796538,0.9124424459568707,1.0519599622559954,1.2684924705336758,1.3979429455893486,1.2026136063350505,1.1855388705408234,1.0692713966633636,1.0512234136917251,0.865918904685924,0.8263184117820821,0.7933858917144414,0.7942488578472375,0.7272381944891639,0.6903551506511526,0.7386279695550679,0.705347569780611,0.718333537676145,0.8383751733182404,0.7531043378575317,0.8150921484554945,0.9331023380620574,0.866488015312889,0.8071974827575261,0.8623059507521983,1.273177996390078,1.506860436267723,1.715488369482386,1.319035054374254,1.1248940681035615,1.1225965189359879,1.0486646794480106,0.9661756947696395,0.8806097933508414,0.8132295213615992,0.8519344194337616,0.8572701502767274,0.9777076548238058,1.0322110911537061,1.4734776467062192,1.2595657891005652,0.9471383406369422,0.9002523399659983,0.8702850562462873,0.8664965399293367,0.7954226327512063,0.9039462133127751,0.9296943758788594,1.039239169417701,1.0741496960925596,1.290083765330637,1.3562030614352356,1.474974290817522,2.099847328870087,1.7354195705563686,1.513339108709334,1.1676572625788273,1.1223603650327665,1.0192593307813684,0.9635097011094723,0.9133025894874509,0.8500418273001259,0.9033045445171336,0.8975619736943842,0.9359773636921827,0.8777822763428738,1.379957794651797,0.8144967427606614,0.9431084261178982,1.0274034561165468,1.038344649427249,1.269449083956627,1.3534315924050493,1.6693769327487862,2.2762303886060162,1.849126454244436,1.9945785752682805,1.4320207045451023,1.576606893576837,1.3566210310981908,1.3710575285002784,1.525221991093537,1.026698032492716,0.9623572563332453,0.9983818914360559,0.9116544568657241,0.9514747884149842,0.8744378605780423,0.8531225008849137,0.9549588705097038,1.0284128410203937,1.1560912079728831,1.207247618516357,1.2466297172231413,1.3524826787942203,1.5753758218719596,1.5920495192023998,1.6713735179663436,1.8795629426523712,1.9391264624976334,1.9711779439073165,1.7280695159147526,1.840619490831306,1.5141511052027985,1.3874395646193767,1.4654807090330542,1.359633847753196,2.020196932394062,1.5820524336881974,1.6834743988664023,1.391937730694957,1.1918026931577252,1.1497318292925234,1.3011342031369475,1.350098852651919,1.2267425500523021,1.2105869462770504,1.4950357348035157,1.4244647097941292,1.3157984953300688,1.7418794420572958,1.9332452521348977,1.5315078390785404,1.6068254769716002,1.1571388090135755,0.9622569287767841,1.0438686364080672,1.0096628309018563,1.007564085633611,1.0408783479139334,1.1371439209652938,0.9969884950027624,1.025855968723423,1.1107832212338984,1.1538621239936706,1.1304288097164543,1.3174226317561792,1.474993707558448,1.4436746021385412,1.4184497552769917,1.6176879458206748,1.9163219649842311,1.673067405063525,1.6217775671012216,1.475086499075308,1.3045219828389876,1.150045263215938,1.1172433592830682,1.2910170007283914,1.226721155621066,1.1164206960043586,1.2427924717936811,1.2646352652079578,1.1537888986250047,1.35935373718938,1.510432800918931,1.3101315154201363,1.4511596317842,1.6207095265123406,1.752141653204063,1.5588374197877388,1.4028132444663546,1.9715188470091554,1.6946864088511364,1.5721310606769434,1.5513938236952713,1.3691784717093525,1.6737554978305969,1.7457753360713006,1.30100031486203,1.3247752335891192,1.5309510250848932,1.6592269191806976,1.0413094460207168,0.883592634764829,0.7997493414150502,1.2039039175212465,1.081613332953147,1.2129714295541514,1.0950701013741757,1.0864272356502849,1.349979174596407,1.1868675106479258,1.0224263755875413,1.2979970823892033,1.2941704869769237,1.2229699263932097,1.2819769211622496,1.5378415624284527,1.845195872284734],[2.032360153118093,1.6992133816972064,0.9693313494497203,0.7637954017054935,0.8094279081939774,0.7886497925565508,0.6660564802711015,0.7007141822485494,0.7515316261997115,0.6999503280079271,0.732069259418798,0.7340280976454638,0.7220488347956633,0.7548277787639496,0.8151184461060947,0.8008379462492597,0.8564591702115757,0.9566458124536535,1.1214635171468668,1.071364325295925,1.1591995055118474,1.212820059121945,1.359425980994018,1.441264766984496,1.2968069325670688,1.202433132059754,1.0727470558341328,0.9864979923363519,0.9082606731844401,0.7970292688239499,0.923480890172251,0.7653618486389565,0.8280887201352481,0.8655931408921462,0.8136128842661258,0.8901093461531895,0.8040416137852218,0.9769457723655903,0.9708031811364366,1.0753343547204262,1.1196963408637857,1.1177094428711067,1.1920689342766835,1.725901191861138,2.33901287361766,3.0426687261397674,3.525203880360594,2.3773495288258317,2.406453899227684,3.192142430857387,2.80542514021956,3.635867840360741,2.5883647384163497,2.2795656156605086,1.7914552620613922,1.80017407973861,2.0624543586498727,1.6237877522305817,1.4937177008092888,2.412063119700134,1.7246282454916653,1.3594619306090965,1.1579528206990612,1.2998535898334769,1.3050019452879837,1.1357910378730895,1.2046953476517577,1.1114835089313624,1.239375856348263,1.1127935695190128,1.2903546395581216,1.6415980895049944,1.3208722906066923,1.5089957741340227,1.1245394272848588,1.342920074531844,1.130050702080764,1.0651167433300088,1.02356388318717,1.0469064041200955,0.9112987376861252,1.2386556434113813,0.9490976025898699,1.0072360747561082,1.0852406662051188,0.8493770702365807,0.9566054483062014,0.9043328105749022,0.962089734999182,0.934642261551527,1.0042322261304177,1.2137473186604335,1.172607611593934,0.9491138748129863,0.8723732484932373,0.9934696074361619,0.9280787050926593,0.8148642039755929,0.7468442652613193,0.7125632269613836,0.6999438195989899,0.7761293865316895,0.6817248317660158,0.6691076884176166,0.7830466761382032,0.7034473529163774,0.7268921136786877,0.7432546014664739,0.6922841869513159,0.6811247156500659,0.692070371270961,0.6318212340113345,0.6457921053835284,0.6384435865221402,0.7127761864647535,0.790847808118112,0.9038898414455198,1.1566039523778988,1.214801591976304,1.02852515364797,1.0251741403742063,0.90270421042674,0.9135609685442332,0.7143290034729239,0.6443659532348304,0.662575331411512,0.6659450744304669,0.6368654520107548,0.6169279699895667,0.6588405557216667,0.6890382296365765,0.7154306401388276,0.7971557159850979,0.6909024637838577,0.7520077906972363,0.8647274165026491,0.8386987930395047,0.7589575309511507,0.7901841883197384,1.1450860610253268,1.3466545502374174,1.532607897324763,1.1536073001190406,0.9831124042771866,0.97425353689223,0.8851343232031127,0.816893792258988,0.7090025209026376,0.6477927730672948,0.6667307161083904,0.6678397221457193,0.7254961428102426,0.8354291920066812,1.2184281476163648,1.0337678550259102,0.7192772049048806,0.6724347369944145,0.6751659097769952,0.6784369840804992,0.6422902205765983,0.7629718436262949,0.7830412321070973,0.9059088656729661,0.9327768418395332,1.1726504560108133,1.219230369321805,1.3796663510258733,1.9902407501645802,1.6780608705201854,1.459653172810865,1.1083582953503155,1.053456985320959,0.9217907783743227,0.8592864149553218,0.7819360037120443,0.7089409616281345,0.7282128392299315,0.7386773981395297,0.7925733265632355,0.7528186339318312,1.2704073607508668,0.7329557315290701,0.8623398013369611,0.9251146381271579,0.9302263304422989,1.1176133347512502,1.2028564181203039,1.4929725239636793,2.1204810743638753,1.6842832512269414,1.8576393191656222,1.2916439216457019,1.455099629699042,1.2710302689877737,1.280197145298429,1.4742209302627731,1.048378181999,0.9923024080106774,1.022545782928946,0.9019028204279425,0.9540373496223823,0.8281528569989106,0.7890173472334837,0.9129164213199938,0.9699371948757632,1.046373681288048,1.1101655472901986,1.1522942935571763,1.2218266741917054,1.4298741106286847,1.4437020112566419,1.5023835328158313,1.6944614374498503,1.7732934927849824,1.7963101131405614,1.5921666502691267,1.6792824672644646,1.3986135390421144,1.2746745376929423,1.3428549852220726,1.2995301020999313,1.966424922125051,1.5393496003590235,1.6289646081142735,1.350468760412014,1.1892967159666652,1.1601335957895662,1.3329360022556411,1.3796897118327576,1.2503592559790422,1.238225191728322,1.5229776812613647,1.4562622499693136,1.3549230158555332,1.772491656914028,1.9587308682653084,1.5514227325776062,1.6511014281788268,1.188481008896064,0.9904942514949208,1.0775704909592132,1.0186814123851526,0.9887472656258046,0.9986033529283429,1.0751826215873257,0.9561349255451776,0.9552877535819911,1.0083511679593375,1.056990928136824,1.0104052732043387,1.160277333888721,1.295448666804179,1.2809179096239245,1.2640381342676152,1.4293847652711813,1.7266294855763389,1.503094759593091,1.4592851517672212,1.3325324425426734,1.1963441018074583,1.0611942938735364,1.0742210127906304,1.2026632294483732,1.1410604286502535,1.0872967576131012,1.2007059464159464,1.1962324479933912,1.1314866710331823,1.3519636943491766,1.4669715748705559,1.2668177834270047,1.4614978342288658,1.6123436290577635,1.725890532808379,1.5344750136221095,1.3457955327796103,1.9614808284266358,1.6475889110755053,1.4750174585569533,1.4478450151715283,1.2697120300559954,1.5734117461353563,1.6847368869612656,1.2157418365922152,1.2487543058958879,1.4539906472703348,1.6333072812817753,0.9839047641301879,0.8639057645781179,0.7279359674404253,1.105575626483918,0.9409340616054188,1.079042915584159,0.8817673519208381,0.8844112403180485,1.1669528676595275,0.9533495104366138,0.7738706511956921,1.0194032685431036,1.0500782759164276,0.9333582178140126,1.0372158752716427,1.2870725032302315,1.5033328978109386],[2.051534333077526,1.6615400987111468,0.872669176708069,0.6205211488507122,0.6317338584192174,0.6110726491551902,0.5368538930554745,0.5656022255298763,0.6441364920880064,0.6474994224082615,0.6895572254051918,0.69346402873208,0.7340414708635695,0.744204760363683,0.8396124950826025,0.8339821481329496,0.909053677776503,1.0443801927142151,1.2382208426129127,1.2218259795842883,1.3397011667413803,1.4050951095012347,1.5695854893891388,1.650537368774757,1.4890671222606109,1.3701314785156666,1.2378958453982616,1.0994153282342674,1.0053775139403143,0.8728935031428898,1.0025516839349946,0.813155016205129,0.8742485518852686,0.9882286158979805,0.9200969828888028,1.0152838893576666,0.8981759242578006,1.1200119615575113,1.1510495233579994,1.268747847879214,1.2886637061947455,1.304203955933891,1.4054269363374212,2.0232631075793317,2.6336084203978247,3.342593630482737,3.937509730403987,2.7721238588305157,2.7439168192371413,3.6153331792232457,3.254777328938037,3.986861830694279,2.9609261538200786,2.5483535628126837,1.885459798999787,2.1612853251716335,2.2994190773422254,1.819380520842843,1.7534527721869162,2.7600576088654947,1.9884103711842487,1.6017860900271554,1.3737839462090857,1.5121517085947065,1.5406389778726113,1.3329904785269382,1.3488337751692205,1.2478223801423518,1.3419277768665752,1.207618084455431,1.3888958182875368,1.7757061641888447,1.421551710150022,1.6401872136579798,1.2587560585980846,1.488683024385547,1.3130305207418573,1.24877807036361,1.2215426407636882,1.2766828089801727,1.1156137324979514,1.4454131254935172,1.1223777573523464,1.2363921132638906,1.268534365642631,1.0247948709430046,1.1342569270956717,1.0427941782664216,1.1314476530162931,1.0988910159298462,1.1530863442141703,1.3553174891850501,1.3014988377451382,1.0309382325622205,0.9227226572007711,1.0432502947067386,0.9602360234741396,0.8220537911758939,0.7242962985775293,0.6561234666237739,0.7089250184179519,0.7195437031783161,0.7436099135868284,0.6574850774249026,0.9023041872085761,0.681482500020262,0.6821280693355107,0.7042260341740118,0.579788803136594,0.6277386696720818,0.5607667552656364,0.5790297483611726,0.5621777684164648,0.6243961202981817,0.7436155177838056,0.8450049941773575,0.9818498464753529,1.2026110234066039,1.3135854171971084,1.1177089077909814,1.088780765629435,0.9395474741911718,0.9231370417935992,0.7007539766773553,0.6063660099612482,0.6351068154095829,0.567920214183361,0.6051404889512417,0.5540293326592328,0.682110803868917,0.6846584245675396,0.7275816384453925,0.9166452701584662,0.8203745693794176,0.8732130793962144,0.9436720907414506,0.8588599774011554,0.7693885212654241,0.7959495534878106,1.2753296581138929,1.449716758224122,1.7067205562046177,1.3143800381593935,1.1213419326026328,1.134272932775412,1.0096002826593105,0.9135716697027356,0.7588542255908969,0.6636694395801522,0.6436905379948074,0.5631806038228316,0.6029924688474851,0.7130455035762897,1.0783757411436434,0.9848486918233647,0.6433930649996055,0.6340234655915375,0.6192027428720593,0.6952218667111821,0.6800226689999779,0.8411380993033106,0.9255324097962192,1.070466116284088,1.1335018311607297,1.4440095328149296,1.4318359809117243,1.616885789149367,2.2300807507956795,1.83352526874669,1.5513212444311897,1.252123614648384,1.1790545303469406,1.1025907646719235,1.0451858542832237,0.9552062088012221,0.8308910325225796,0.8135404315590273,0.8273256690805841,0.9764388674655647,0.954878499896626,1.5302646290465272,0.8673406418940216,1.0698817713051112,1.1580162582270248,1.1628743171730007,1.3912897797098276,1.4597277684135328,1.834959717784726,2.398963407042758,1.9987775228067604,2.143212759023292,1.5434144621797365,1.6508617224615183,1.4171447640530335,1.502960823934552,1.6465809613406535,1.1278602554098074,1.017920395943133,0.9764533544957364,0.8114430436626346,0.8548980368268415,0.6658390572377643,0.6160842421437976,0.7506122342213374,0.782498699674678,0.8247075416318216,0.9268007566510754,0.9674883489161881,0.9922636803732183,1.2373347229583116,1.268440526001708,1.3094620711858418,1.498342137778661,1.6387109047298178,1.667384638728472,1.493321037637836,1.5216855292112108,1.2902101391621466,1.1167052793799854,1.1830670193504287,1.2435764984359974,1.9135537826745583,1.4858321210033774,1.4248995512460298,1.223360869363148,1.1372653704902222,1.0681168078072816,1.4209129837034462,1.4105444747008136,1.20932679848784,1.3084889992718047,1.65778637305224,1.5193320458398416,1.3973089046601719,1.844136566171203,2.037170244317434,1.6037234815856185,1.6369883106327845,1.1485670382673328,1.0185243404887727,1.1046070183787788,0.9326793361929062,0.928902130608322,0.9012321738005825,0.9691135752623418,0.8290707412441708,0.7873232943101937,0.7905294312989778,0.8389486778240108,0.7596892204414794,0.883024171988713,1.0268315884451384,1.0321074085181325,1.0234994740815166,1.1595400868543855,1.4887924791603382,1.281640896452751,1.2272369179540974,1.1115083038397244,0.9827201740394226,0.864043248751984,0.9981197820682752,1.019891932755715,0.9528793098559707,0.9845437999195126,1.1022087636274294,1.0623044517087452,1.0419904970530107,1.3277720676345655,1.3949524396542605,1.1866775726758536,1.423786381081625,1.614601822123409,1.6793255711751238,1.4735998214759196,1.2158384844870964,1.9690612253982749,1.572755609567684,1.4107874672882887,1.4015593317115056,1.1464461797278622,1.4726210266072157,1.7166490500391736,1.1392579065717379,1.0767858908045802,1.1580743414887316,1.4794175304371155,0.7857014937973223,0.7161154042941832,0.5588754510554735,0.9524880957102534,0.7466365599184651,0.891113973444668,0.7079326614394168,0.7012669115068153,0.9888742958860824,0.7641319762151932,0.6056970310356371,0.8048888778767311,0.8877538812349369,0.7627685300468612,0.8807086234634584,1.206444030920633,1.401045481418964],[1.9452139595118612,1.615637859726139,0.9277498238224928,0.7294853196775279,0.7596399071696771,0.8174438472319114,0.7334346546430367,0.7755155976366574,0.8781269476451994,0.8789207803562293,0.940172456420388,0.937762651380492,0.9474247950034133,0.9796005095852917,1.0445175139590426,1.0466264204438682,1.095609209952127,1.2394440172070111,1.4337629649431058,1.4174289998540133,1.5410849790601169,1.584919903278105,1.7269711421496452,1.8290052653909126,1.6618764639775885,1.5591171180675396,1.4151957805792672,1.2773178062072554,1.197770780131219,1.0806037015453895,1.220627809895682,1.0385304362059982,1.1040926465837089,1.1981764136803976,1.1415640432759042,1.2153147884816513,1.0889739220314836,1.2803464983169668,1.3187470545106654,1.4169141031677137,1.4478672573558895,1.4689655271188782,1.5568273939455395,2.1860756240445363,2.8347655399559453,3.5724938647666984,4.13816766639462,2.9069078014339365,2.866109604009654,3.7051900564920506,3.2628285823312084,4.13083069183473,3.0956745207087306,2.6216256917145473,1.9218757519727245,2.3194354840756284,2.441180132746965,1.9224121118898778,1.912264937137886,2.9099136849559613,2.161493175014641,1.782300439684277,1.5668815712223223,1.6946833470507727,1.7382994997403216,1.5380588836926459,1.5570778737800521,1.4444578956436465,1.5086947330601421,1.409849891905609,1.5564789661402803,1.9528606117427252,1.6193326264832926,1.8023297922833639,1.4524198135952289,1.6569773515109327,1.5112487235859902,1.4510460485463839,1.418822374133767,1.4659556475920226,1.2974064821292886,1.553481440174876,1.2945599498375382,1.3891238244827118,1.4255658198515646,1.187814134480548,1.3094969938861503,1.2063879619629394,1.323008947477789,1.2984022573296878,1.3535743880229592,1.5615794462359813,1.517857021430238,1.2784995943421136,1.1555303671309216,1.2746639375247113,1.1909762791543381,1.046844741947119,0.9529201204410145,0.8956040044212711,0.9385070457943733,0.8939091416326903,0.9498246776670293,0.8494889389447944,0.9973856386868136,0.8103909256799431,0.7806995554180874,0.7851968915477556,0.6703572154800735,0.7131272317217612,0.6595930949135818,0.734664278323069,0.7471269772646333,0.8069463529576942,0.9158473350718027,0.9979163147091248,1.1500646817628626,1.3562647706506907,1.5048186363655447,1.2990005616458395,1.2509096735651246,1.1253318594354753,1.075888544594391,0.8862301516477364,0.8010965032030007,0.7788251645138247,0.6717701895792205,0.6958518908163717,0.6472665947545349,0.768650439076226,0.7563472308333337,0.783366031938906,0.9739515959589651,0.8959220839928511,0.9468917724359217,0.9939889998312366,0.8748372617486557,0.846121894738139,0.9248810921121876,1.3941025250997003,1.6340745069957259,1.8731451827609966,1.4657968902153677,1.2713963812284366,1.293356587811041,1.175025379363139,1.0697412520543903,0.93498493916689,0.839868367588137,0.8364884866611884,0.7664772993551915,0.8367409452500065,0.8973910464760115,1.2247343122346483,1.1602569346735738,0.8818227357858888,0.8637669647251018,0.8182367291441608,0.8887895764167636,0.8345365548493222,0.9689436628954747,1.0758300732305677,1.2036280185102923,1.259050222173935,1.5136994998257873,1.5411907214190366,1.657398910708337,2.264982723398163,1.843749338699158,1.5858265587872018,1.294434181980976,1.2297139050842723,1.1778547580243746,1.1324154056326483,1.0754784635277248,0.9720090543130113,0.9963189877247919,0.9862047291009377,1.1175012546612793,1.0620906098853335,1.5955708742651473,0.9496395347564869,1.1420994941874043,1.2449080665287602,1.259488741367306,1.5101614514054276,1.5795253918776244,1.9529208413200982,2.501704619843872,2.0934423638975033,2.2082757806451307,1.6077076821244718,1.6895386570557263,1.446670208912911,1.5169309211326054,1.6607793332224614,1.1708266070462972,1.0487170531699506,0.9846029649616845,0.8668493922494462,0.8348939219743685,0.6765521893183541,0.6409743961261539,0.7201818826694404,0.7311469635158127,0.8198437369777766,0.897580458975436,0.903426010509579,0.9581224452585977,1.2241816830170789,1.2303564902442816,1.279184385340779,1.512057582086834,1.6156345089265893,1.6218534266858644,1.419561664374361,1.452658363655863,1.179076484576783,1.0195726404179197,1.0785789815668108,1.080215208880542,1.740954341278301,1.3337521343910297,1.3415311914335915,1.1159965048117704,1.013871440490153,0.9860870917734852,1.3409503052591305,1.2985181190236272,1.1292824011018932,1.2373255904478593,1.5737352134752896,1.432846529160619,1.3404285657170818,1.8413193490569932,1.9730980809592755,1.5530883120351062,1.648514889018795,1.1207216639809017,1.0237824784807723,1.088179334771165,0.8860205437922769,0.9557765263551568,0.9044625631472273,1.048740613267204,0.8709020079173769,0.7712105681269337,0.8550526393268792,0.8960632244218233,0.7655165236040282,0.9135511179734588,1.0970058955873168,1.0547020783559655,1.0058475128891542,1.1829824404953646,1.5241156048015174,1.2612735478901058,1.1816705386490902,1.0467799213345022,0.9020628010305243,0.7977865172341886,0.8829318523695037,0.9101449629933651,0.8652757044742194,0.8847832312847935,0.9718636259933738,0.9420499032738873,0.9449081826846475,1.2141703330431908,1.2725191724296605,1.0839056441773178,1.3486493349311712,1.5146782410033899,1.6031206910243427,1.408894158417339,1.1597128205977283,1.9251731953410782,1.566560681320511,1.3080329323789044,1.284101035109873,1.062084862738065,1.38860647811367,1.566630249009966,1.0539081672005124,1.0678009579129777,1.3010501852056537,1.5481874192103517,0.8143037526962742,0.7695452572179928,0.6328452101202156,0.9593826375999245,0.860781892455335,0.9834548553532733,0.8627203185675069,0.8795180824056925,1.1232867817951475,0.941614876644388,0.8154153634421732,0.9977186232934949,1.0276875705428974,0.968140116903469,1.054485724924261,1.4601616154111,1.7284653253738886],[1.9238439590258192,1.5843803475923517,0.9227656086027605,0.6794952678879201,0.7642652068353429,0.7467589401467741,0.6487812184308254,0.6772283440640113,0.728828180513097,0.7116080429597066,0.7463214854922835,0.7538472807076809,0.7656634202249029,0.7778859356265443,0.8447997208948145,0.8424445578003867,0.9051148244114863,1.0190522684016325,1.182349662679545,1.154508472960759,1.2474131283037184,1.3029942322851373,1.4218276178873512,1.5219563344184457,1.3736279605943673,1.280711441699062,1.1636949261666119,1.0585955850132038,0.9818043458344808,0.8712326834490146,0.9981343811024073,0.8246369905103911,0.8925151342851817,0.9662144112095091,0.8972932190614702,0.9744643630610459,0.8805920542190214,1.0681326654576866,1.0769594811584045,1.161719239303631,1.2011680051716,1.2132802575731807,1.2875069190453106,1.8380467514300134,2.4581951552664068,3.194195698223075,3.655691043790803,2.484096963096374,2.5166149224430128,3.2907506722805486,2.8512280490686472,3.791141546961615,2.7276651255596955,2.341980997691686,1.7702390065631992,1.9157143597154547,2.12585204944291,1.6914033385760325,1.596495968014014,2.521934200989983,1.8135275881240769,1.457606106580518,1.2687999294755388,1.3967272148341217,1.390426925391044,1.226072347056,1.2755091262274751,1.1897644586682639,1.294562008966207,1.1830347218859045,1.3427770242374089,1.715474100200221,1.3820774962066422,1.5645210096457731,1.2156617618461572,1.4353688369740292,1.229647329757183,1.1751788928677755,1.149209574287137,1.1743660096386823,1.0412381869015688,1.3296408938676516,1.066105539927971,1.1204584385220433,1.1966286404302213,0.9587639906003566,1.069864837080331,0.9836211756515701,1.0670187068289234,1.0405814667694104,1.1070822258668287,1.3011152412564528,1.267054918912491,1.026578111926924,0.926588648000053,1.0517805794984671,0.981991362059497,0.8491209567047947,0.7681653203560055,0.7201849002429185,0.7440155738612897,0.7735623397110786,0.7674972532973294,0.7220419243182139,0.8436682557169196,0.7402612422231449,0.731644228750724,0.7174571508561086,0.6463140769067274,0.6660086276627738,0.627405943252181,0.6541380715129812,0.6504912465445994,0.6810315751701336,0.7561692470955436,0.8409785301788373,0.9698288336379809,1.1753834866512645,1.2804076000126254,1.0861652232814636,1.0649059689506502,0.9432536874847137,0.9360213975726484,0.7373250066254404,0.6613714798588329,0.6878017110531733,0.6370731577565317,0.6233844797104428,0.6105793987949832,0.6637406490942518,0.6815369306797433,0.68437174067321,0.8019049719847685,0.7301250081472238,0.7861902284111136,0.8705993808084912,0.7878247636211736,0.7527703161951399,0.8142396437781876,1.2186636518023832,1.4197336098902191,1.6159537057092141,1.2245041602073872,1.0603005733453363,1.0670388182814108,0.9724767628778104,0.891727999288515,0.7752242492582597,0.6971838046834263,0.711338008946199,0.6736954993929779,0.7076120709587167,0.8075754674146928,1.13067383133739,1.04560884945961,0.7255587311140723,0.7030968156138707,0.6969587588036856,0.7273554574788321,0.7052660233662806,0.8530337869408912,0.8727229877279624,0.9926968247993815,1.0312692393982552,1.2354638412213659,1.2913096624313702,1.3923011959220402,1.962902023586353,1.6158051312614865,1.4198141972456757,1.1124010926766017,1.0667931534720578,0.9857750543456801,0.94298826150499,0.8829551675788854,0.7933353832182193,0.8168776782223998,0.8154976050249441,0.913383659726214,0.8561850672063257,1.3626160764043276,0.7863851109831834,0.9269702064318518,1.0031364277012744,1.0180849766234124,1.225557813610793,1.287348510566011,1.6034878593959887,2.2082887309502124,1.7855802221812032,1.92493071402281,1.3728103406966727,1.5044451293884082,1.312824587547422,1.3394374378655745,1.5213595357730567,1.0375811246867666,0.9645395342341352,0.9627990825737917,0.8622543181641712,0.8409880079945078,0.6996088554819834,0.6696120217063621,0.7609337389915978,0.7717326469887165,0.8529609590681118,0.9261835336455433,0.9309668673713523,0.9819543771559718,1.2162101239032646,1.2173739231261202,1.2644400968762888,1.4786982201386636,1.5675238784001975,1.5731476587947886,1.3842745691319456,1.4104730455295773,1.1640685651741514,1.0286751976474258,1.0768612889496514,1.0458535551861874,1.6759757147514025,1.3002370321016374,1.3913950063490008,1.1225596288863788,0.9818353609052526,0.9673850750125967,1.243335937492819,1.2231226168408758,1.1035931301179458,1.132438742962579,1.4548469515858196,1.363963136519507,1.2644269000972908,1.7570825492849687,1.857019464097738,1.487083001812216,1.609506207523703,1.0988040158239287,0.9421792981700995,1.012288315984216,0.8644888528249645,0.9525814506948058,0.9244354089506128,1.0727656473096965,0.883720951008309,0.7976695124543758,0.9067324982262979,0.9411621607418847,0.806836093446973,0.9493817174737561,1.1182328659391472,1.0694547248674724,1.027852230073918,1.1913222088631121,1.507177335309077,1.251937495704925,1.1747464921918818,1.053384410324692,0.92403729213623,0.825236605460302,0.8781051643731999,0.9295757199782848,0.8923006249556004,0.8940407092755412,0.9739305433107522,0.9598058647372766,0.9591214935546393,1.1950211368949335,1.257065075052249,1.1041855164623566,1.3406372737279282,1.4750529005604793,1.6011925792466035,1.4339302196964105,1.2221114519565803,1.9577065602211987,1.661521552076555,1.2968266033416727,1.2463690344589735,1.0566535049898702,1.3456822743674963,1.4971012460872375,1.040954835716377,1.1310313726368777,1.4343511743434099,1.6175716515313339,0.8768777703100167,0.7845633305909249,0.6597557560127235,0.9603566772088782,0.8418636572701016,0.9537567483196233,0.8277560051183188,0.8314843616551744,1.0709218467758121,0.8520420186222388,0.7211049056381682,0.8954459445051306,0.9123451805367208,0.8360371521893597,0.9313357324462335,1.3437814616328936,1.6170669281832442],[1.974215864984186,1.5533938102335298,0.8745541537723971,0.4802146857230536,0.5648510709429853,0.5569016033414246,0.5526157836877071,0.5735180436128646,0.6283993156072067,0.6788209974393568,0.7243804569333767,0.747667649439469,0.7863422127622288,0.7817612830663113,0.8816832292194249,0.877891184973671,0.9502094883346281,1.0455438417360028,1.205841624225676,1.1911389810458914,1.2732087794819906,1.3273432928672866,1.4550804293941615,1.5230204440969963,1.4054847606926046,1.302497362746305,1.2049527424156985,1.1059875937588968,1.025990115664805,0.9118158522160636,1.0165047317087834,0.8653340630325151,0.8995236339046127,0.9915583137351918,0.9424449348704359,1.0225983381066488,0.9348189779021561,1.1259500272271852,1.1496333726829695,1.2499129052153686,1.2591978942499513,1.2636571169104474,1.3585948303362887,1.939508140062376,2.4952831561056965,3.1969680789436956,3.723408240909458,2.6256948592796245,2.646916064114476,3.458246311693534,3.112014317844296,3.8945487144938338,2.8599404407505875,2.4843144074803423,1.860623405782314,2.0665046530846967,2.2317992784636775,1.7789741618964516,1.6943949528012072,2.6387589093007815,1.8980984224940172,1.5317035839559228,1.319312599810395,1.3950794715469876,1.4507227520769346,1.2744373857388498,1.3104522658587558,1.21111732394664,1.313038091575704,1.1802544720868637,1.363914054635429,1.7064394894640131,1.3685924147929605,1.57147607525028,1.2172095130993825,1.4297059471392455,1.2734098620834722,1.2192720212022208,1.2050911199674526,1.2456916522951935,1.1180416316895343,1.4516071259684262,1.1525317133953976,1.240985715762903,1.2844812750809176,1.0505360517230324,1.1270441244750091,1.05287502417828,1.1249206512702015,1.0980088128240029,1.1365300746524725,1.313095614201819,1.277546166732118,1.032068124065547,0.9444669023511635,1.0361433433334661,0.9746975507453606,0.8637033613952034,0.7865289348610047,0.7149622404845134,0.7911631252749969,0.775537699714596,0.8256014732916105,0.7336207715683855,0.9885182003818526,0.7489826522171147,0.7677608100412762,0.7780360562094759,0.6559041991686239,0.70895013749377,0.6111171761799878,0.6628340399195571,0.6276424921433635,0.7028835608987292,0.8057169773033339,0.8978998917925014,1.0083770747005025,1.21908419232143,1.2888871816369343,1.1142396108400783,1.0859701660171532,0.9595761847948664,0.9642203544761486,0.7620041525316292,0.6811367461959664,0.7184652766314031,0.6092596561586773,0.6754748091176594,0.6307537227260847,0.765765070076905,0.7460651515906421,0.7727450950573719,0.9431760461146024,0.8736364592967266,0.9174262222578988,0.9930561136721032,0.8867748456424469,0.8240220890740475,0.8528473073057866,1.3301261228336907,1.4376062278044122,1.6429852108286063,1.2847986254640322,1.1258709457193652,1.1312948671531946,1.0355623570336623,0.9602312662258845,0.8271641713930505,0.7463917044333017,0.7123943953234985,0.6289585558777896,0.6277641287109081,0.73480307298194,1.0460999823918993,0.9931059959931923,0.6967196177411437,0.7088770539053617,0.6942676114282629,0.7667112949318697,0.7644863217757871,0.9014216863396091,0.9758142543437102,1.1023132925414756,1.1516125129121098,1.4387439421206012,1.4178653209748104,1.5858921518608389,2.1605425705578907,1.7950373960428585,1.5608722462856106,1.2633380239806007,1.2082525020193247,1.1306837641731553,1.0881955064179984,1.0038602658571725,0.8952791439993111,0.8667513960546785,0.8815960208449969,1.0231049920869364,1.0068574037710682,1.5496113417664166,0.930071866246971,1.1050937964491505,1.156612100819549,1.1702759273057934,1.372474704216373,1.4346737675680268,1.7512330786137538,2.303575972300135,1.9018027819745427,2.0453009450427806,1.4979675775185288,1.6211373428926266,1.4059284477609988,1.4758755753073727,1.6391863835543974,1.1478375015844355,1.0443472010938346,1.0036845457723926,0.8645988457052458,0.8578005554127831,0.6674305401285224,0.616768252161348,0.6961540703934026,0.689457469894937,0.6867381269313407,0.7597732310943804,0.7894235725205165,0.7865438765824774,1.0236496919505305,1.0252050473694845,1.043320612355821,1.246799725571463,1.3839121121435503,1.3777613496046832,1.2304955240387496,1.2153245750688542,1.053116542494394,0.8998302293480919,0.9430648913399798,1.0674283622211862,1.6816314098719387,1.3139941005923408,1.2462805648741335,1.0850683464848205,1.0426062183038005,1.0178687563223292,1.396249364635029,1.343702183083002,1.1592485074233407,1.2808207112768681,1.6089788535260292,1.4655908731693874,1.3698849578850043,1.838944493002745,1.9646839689037272,1.5688272258742815,1.639012964178994,1.1469218880137333,1.0495099968171724,1.1222692289744172,0.9098235710591103,0.9760971523504599,0.9282548451672018,1.0387472304019163,0.8691912532824857,0.7581207836532619,0.7836782615153002,0.8157626841383935,0.6586641622019501,0.7334243844332553,0.8670289510562095,0.8454418061218778,0.8268104047157009,0.9226354344382248,1.2430533405935968,1.0312429522249185,0.959436573112723,0.861471764719256,0.785698573882858,0.7373994377658127,0.9105420255067275,0.8372131901154125,0.7835903693245391,0.8935222522790708,0.9604647689297882,0.8946525589754525,0.946395259804252,1.231112130486848,1.2452914846027971,1.0631568692108273,1.351688905011987,1.5200867969853409,1.5866804074683727,1.4092300412397025,1.1122991625967844,1.9780607613432784,1.6087877000108195,1.2394323015447641,1.1704567340274723,0.9354593605239383,1.2409518909948003,1.5142571700862937,0.9617778452215812,0.966716628758984,1.1480005591690823,1.5126740859786987,0.7418860120787979,0.7572192706748663,0.595320993761283,0.8584158868880117,0.7248991595855072,0.8386349901504402,0.6496263007637841,0.6655312498706248,0.9072728005185854,0.6912707490281335,0.5853297575708237,0.6299035346989472,0.752116139011811,0.6694584629995013,0.7684978272699532,1.1739885771529983,1.428247009431202],[1.963206509662745,1.5633703676186095,0.9161933838314895,0.5348326988009255,0.6383141516233425,0.6541213356399752,0.7262853802657928,0.7584545313558665,0.8166155021604714,0.9072825863482659,0.9639278994753985,0.9883422150299117,1.0605571637034996,1.0276655956854888,1.1458424930788502,1.1700553308712272,1.239881764769785,1.3577716584998303,1.5265380167384983,1.540401847426658,1.612897109617993,1.662193636897067,1.7844570693597703,1.8535567638070514,1.737630628531739,1.6385799236977332,1.562748650292612,1.4406999265041047,1.3551682859596097,1.2391090863279872,1.3320645750781521,1.1929141559390577,1.2252449407625425,1.3414817245677375,1.297845154459622,1.37341307007678,1.293034155111837,1.4815394036409886,1.5346782754253305,1.6221994299052214,1.62035806969321,1.6162904037126127,1.7157916260107702,2.373852024544384,2.929734423338468,3.6367897786805683,4.226168342872154,3.0935830746619586,3.0662556760580504,3.892550058685384,3.5204608278532383,4.306749038983673,3.3163887462402077,2.836605770878699,2.0774036838663634,2.5409768874593968,2.6115186924301543,2.0613793291516056,2.0936090072496674,3.1051952802053284,2.316064765588439,1.9213759250399833,1.691339469353611,1.7479540350701326,1.8343461488021946,1.6551878615725923,1.6289020369233005,1.5385728022153207,1.598254688399128,1.461227132926543,1.6326240438401793,1.9864284458543573,1.6447176084208674,1.873403767370868,1.5304545893362418,1.7116715255739352,1.6315135530953293,1.5853355291790558,1.5819785731282932,1.6460394195588244,1.529929391880621,1.8293258127211942,1.556576529370503,1.6562125896409388,1.6773536528878943,1.4479901544196214,1.5200384889364467,1.4471273555543582,1.5010332147126177,1.4684316400859392,1.4873977701188419,1.6511152186045632,1.6037419239984838,1.339036867390965,1.2357040181378147,1.3107684480714874,1.2068398984874795,1.1418649318582887,1.0598251953514832,0.9778838230899538,1.095160346493204,1.0257028010327296,1.1686019371501828,1.0463507523038995,1.336388594848014,1.0372538156450255,1.0504908897148035,1.0474350298530364,0.9064107256793953,0.9822488133204973,0.8334581381823467,0.9364554281363039,0.8728722235289142,0.9740451269251382,1.0773214193477443,1.171179767044074,1.2982254496774723,1.4770601226161935,1.5717233505572266,1.4024777746367751,1.3374542239752283,1.199225006113889,1.1780672566374566,0.9950840781233773,0.8958411678835605,0.9648478703693547,0.801353531418485,0.9189820107523041,0.8951283298504202,1.0699738004403223,1.0235647029361628,1.0638184959659627,1.2566889676795578,1.219493749126175,1.2380207255187932,1.263097317305902,1.1171378601742636,1.042201598907849,1.0535361521895983,1.6497952543962173,1.7776177721958342,2.007357791996383,1.6508451435283023,1.4703448301739361,1.50347520472859,1.3830208226084915,1.278093542437234,1.1336436597973654,1.053662070324631,0.9779766534991686,0.8749194971858397,0.8547564387408022,0.9249739449968978,1.1746053649717643,1.1862934884507912,0.9572367657042121,0.989635086572082,0.9686776877177822,1.0809905380994214,1.0848803552708326,1.2195461340309302,1.3358676586043035,1.4670370458360604,1.529863472051237,1.8271371032233503,1.7741535920816232,1.9036368860020698,2.4486737890210932,2.0125958227477203,1.7589581949437736,1.533848068591291,1.48748563485989,1.4792776488417432,1.4448640818745064,1.3727886972734415,1.2659451496080987,1.2150514995899144,1.2585357169914104,1.4002699700429577,1.3977460778807944,1.9264337334043273,1.2815756892291283,1.4821236498674422,1.5400197184767306,1.5561174118325924,1.7917136973303356,1.8473795747497017,2.188645645095695,2.673562099210297,2.305328055363302,2.391796580397943,1.841014323186992,1.882411526379027,1.642632864110265,1.7788385417356722,1.909694671708923,1.4014170925714964,1.2784345649289626,1.1683834897886451,1.048109761470096,1.0022857835584145,0.8263906913304183,0.766923889075459,0.7725449745076433,0.7516503132433265,0.7039531747579825,0.7408755011729671,0.7699573023670182,0.7468600966823423,0.9682922732404057,0.9587948889467218,0.9709469713043832,1.1824761547167106,1.3210645259215814,1.3168632584700772,1.1797154228842341,1.1397337556311817,1.0054305787986346,0.8521629225847679,0.8876720149905719,1.0939643237581744,1.6426365508252083,1.3550846573939659,1.1936040503204017,1.1201988169644785,1.1563286617412498,1.148595982922291,1.5779479317656089,1.4710506561135555,1.2628099987999815,1.4608189408509096,1.7733021496715164,1.581703258627986,1.5149579390930987,2.0078052795717323,2.08993745166386,1.68389286263205,1.7554696691850395,1.272370238266542,1.2821068137694132,1.3383718106922666,1.074200809628936,1.1943573678581438,1.1289152989653624,1.228753870714655,1.0546475020587314,0.9072864228571608,0.9286461357645859,0.9203285325218131,0.728608768585757,0.7571677821805369,0.8681556813171865,0.8205615587918659,0.7994190111422188,0.865018400849883,1.1806987284151242,0.9608617875906732,0.8855113615091755,0.7979890632282063,0.7751161242108666,0.7950339713279467,1.0085352227192133,0.8364419511515109,0.7838715298028223,0.968940158994491,0.9984939595854059,0.895005194531639,0.9947934116559406,1.2980202142178043,1.2551269655741324,1.0757858885706635,1.4029142307119975,1.572900844197066,1.5996822952448027,1.425754882203539,1.104631005488714,2.0108849950260472,1.618993170398127,1.2282355700998981,1.1328146479278312,0.8934311209259219,1.1832168068485995,1.4834163872456065,0.9350547920790928,0.9377988784510821,1.1146431211552348,1.5165302505079907,0.7672707978842331,0.8966977757904422,0.7608301275548052,0.8751317076821931,0.8049936323323962,0.8715820335430476,0.7745018971091412,0.7564081440722616,0.9166352881032181,0.7534759339022743,0.703961184989646,0.6651597605442742,0.7847516393284071,0.743028679803889,0.8323988005409626,1.258324669264424,1.5483844910739646],[1.957556570244143,1.591040703162925,0.9758700566351383,0.6622038364299944,0.7758443153253382,0.7920070067528493,0.887822845541663,0.9267943275446359,0.9687779129069911,1.0511134008284044,1.0968753077977265,1.1332094407817235,1.2019676547555536,1.1459377108781825,1.2567787557634187,1.292213266406202,1.3497966037601328,1.4430230707544667,1.5737451437703862,1.6000018978003827,1.6377573648652526,1.681566924687454,1.774287492599072,1.83285341499501,1.753840080011869,1.6722388279323548,1.6313618247806034,1.5327572721386653,1.4562165987528148,1.3617063729162786,1.4311442405174712,1.3221672831302897,1.3511568837107226,1.4461856770148542,1.40721613574946,1.4700255100867592,1.4166682775627077,1.5747078977838425,1.6301893063802761,1.7007613485119641,1.6845612069519098,1.6671352942166833,1.7493795186252874,2.4085316630924445,2.9488225359494753,3.670838489603832,4.209009741044432,3.086444044838868,3.089456789531196,3.8699007277879254,3.4667318618995533,4.348232737091743,3.3488035056292174,2.872689448976301,2.1128464445022286,2.565577195754995,2.635530442418925,2.094566537223143,2.12272056872576,3.0976749277270357,2.3285922934041294,1.9362280979679725,1.7249273032858683,1.75084023052352,1.8416776544910087,1.6903505354578032,1.6513081444679025,1.587300609639689,1.6309704169809125,1.5117318153741082,1.670781066980014,2.0060498150805257,1.6732813091694139,1.8905593162005756,1.5778339902659768,1.7416450247398827,1.679601052246813,1.6448737143542598,1.650249159702207,1.706336339656212,1.6238001118849688,1.9073627819502854,1.678950997783604,1.765757501113167,1.780442866304037,1.5651711486286939,1.607825210427693,1.5544248996460213,1.580807421726119,1.5571167288626078,1.5635340192878104,1.7100290543406214,1.6819524490157756,1.436301495088875,1.3420498038940132,1.4104713550758143,1.3099069638674068,1.2737803697166081,1.2068071944854175,1.1444571197268618,1.2483243269801594,1.1885316029862985,1.3336491108353519,1.2291162618745173,1.5007473185545988,1.2155807844473123,1.2235696286603441,1.2035872301338728,1.082260767010131,1.1715694927143274,1.0186049242625528,1.115485958249811,1.0495657679997228,1.140565489337845,1.2182347721847533,1.2984815344064646,1.4043899433120652,1.5592141264369501,1.6170175445249653,1.4758270901842196,1.408792044345273,1.2952574697118873,1.276562579104391,1.125619684853389,1.0431663122305566,1.1320641034918038,0.9684635669798516,1.0827878013387937,1.0789457209944664,1.2415537302114366,1.1809562430278706,1.2137327448198796,1.3908582872598751,1.372438985612006,1.3799047193154907,1.398681451960998,1.2499401020580039,1.1809502642223015,1.1815014852358907,1.7804951794470787,1.8937386192811319,2.0735990620852043,1.728838401326353,1.5769588209740333,1.6068816823755263,1.5011831677782583,1.4070322563792947,1.278108210416012,1.2225345768483886,1.1481254997631603,1.0578110784674584,1.0367432470200446,1.0914019918494418,1.3120752822766073,1.337470633795628,1.136162485885658,1.1621665308314872,1.1497000970397417,1.2441054940628669,1.2577362246684514,1.3728345973522467,1.4706045593378057,1.594405983625787,1.6392931454678503,1.9062291241567566,1.8617588110637098,1.9587838285147565,2.460619485007471,2.0455939336088167,1.8298155040883415,1.6317741758118807,1.600531218866704,1.604374166032226,1.573015967785557,1.5098439967671928,1.421115866430978,1.3647873011148621,1.4071093339455367,1.5277864088474726,1.5336516045849127,2.0308224640699293,1.427154412075106,1.6071292050128165,1.65048345359967,1.6676260626769175,1.8773562716018832,1.9250814267036518,2.2248035182081716,2.6938048758998847,2.3383078880387482,2.4169755961768904,1.8930090677942413,1.9360459755606947,1.7175636003615258,1.8487614290089855,1.981610133147913,1.50592527696953,1.3921817037548838,1.2736799065861204,1.1861951766714953,1.117790084859487,0.9830724003004183,0.9308190319268542,0.8887633010104993,0.8719017749928255,0.8360607351193913,0.8267011471011029,0.8457047667030423,0.8384836633022522,1.019676713927701,0.9844724931614801,0.9927826690074496,1.2085943075372518,1.3192465901526227,1.2990309413915022,1.1723572187203153,1.1180633609414785,0.96962064815567,0.8616737818044657,0.8932170783578847,1.072001555367331,1.5888541616641525,1.3368065229990314,1.1912777982750162,1.16056520403232,1.214661644167427,1.2275438933639362,1.628793574155562,1.4976385446076004,1.3197699162472272,1.5152312120336882,1.7899526914853865,1.594927493521166,1.5569076541005955,2.0525065763435277,2.069221352908866,1.6939149293619062,1.7958382460870208,1.3433886562891868,1.4018030321345396,1.4388592994890863,1.1875873631945366,1.34149700184022,1.2920333347335375,1.386875908461027,1.2131158750742341,1.0653799842324345,1.1147064670795341,1.0861905125246087,0.8953417462251151,0.919772053438601,1.0122786708672828,0.9427777914768423,0.9107510325850529,0.9593334477921325,1.2361496657440707,1.0091655124036316,0.9349432626225684,0.8514005574887096,0.8664290005732996,0.9130111783692301,1.0895436530156726,0.8944076932336348,0.8597421686112832,1.0451057425945722,1.0394252553031882,0.9357840485494224,1.0518281876976643,1.3210625158140035,1.2423382264532037,1.1037695232399984,1.417593640825645,1.543733222537758,1.56185019071018,1.4141952493424952,1.1424657677180683,2.0142146981204125,1.6774841733421233,1.1987298697693,1.0910176988298095,0.9046747232855595,1.1783271456853461,1.4524691439027828,0.9415308446334112,0.9459445015349051,1.1883368650242083,1.5530398737468287,0.8728247086866743,1.031467827056272,0.9334632139725396,0.9853138843933349,0.9522406269177122,0.9824679924243666,0.924831651260486,0.9010996570395367,0.9920405924466761,0.8729603304297847,0.8495964193864604,0.7654493604986053,0.8563631566015262,0.858045998047455,0.9112530080074371,1.36177791452396,1.673592523617479],[1.9393405909072794,1.5158957041660064,0.9949318911631972,0.5713417177464356,0.6866409319105954,0.6763786486696872,0.7686937528130323,0.792749080428805,0.8149024178594937,0.8703408063219304,0.8943120929929258,0.9524566072430635,1.0090828774257012,0.9310472882367791,1.046831330082853,1.0788996930131223,1.1294311470410259,1.1976635241710367,1.3087216221403175,1.320531840682782,1.346361900950655,1.3953175589906581,1.4869610609420092,1.531279481080637,1.4666440664889415,1.3736457420354466,1.342033757631904,1.2688313090998886,1.2103235382356097,1.1325709439983027,1.1894716543173374,1.0965797955360037,1.1157566991400711,1.197654863733618,1.15675492119397,1.211330863061918,1.183251723279484,1.331042079362021,1.356420133461744,1.4370887840132165,1.4007117899213677,1.3903842949628291,1.4862518632713855,2.0966997414625994,2.592794026036117,3.2961770207760206,3.8284945641984334,2.7801229144350446,2.8161619166192295,3.615352731155454,3.283102984825015,4.074531215077138,3.0523201508535696,2.6592776270808995,1.957795787277819,2.26524422211665,2.3814128285201486,1.9012484776861207,1.8610037645452175,2.812443816060224,2.035864656606638,1.6647098804244291,1.4495576639346437,1.4523650547015818,1.5373939392484501,1.4121857502098218,1.3873937449485028,1.322845365812796,1.3812878826573762,1.263698998883554,1.4514182190808944,1.7763559706272394,1.4280033867164996,1.6658488336302397,1.3224873047092116,1.4863557139754362,1.4056953511040036,1.3684923379066196,1.3821437550103304,1.4384353738912707,1.351368195581844,1.6732351823012617,1.415854602745126,1.524370021654104,1.530936936582803,1.3123747678642326,1.336036796026605,1.291769122883107,1.308643708179697,1.2905658770699138,1.3012002430267855,1.4530313819022556,1.4244875115867224,1.2015552389303013,1.1237049365913545,1.1899282637980972,1.1067791419249706,1.0601406863859653,1.0083658664595787,0.959792210352906,1.0563242136291735,1.0408602964253122,1.136072607821372,1.0656683623204477,1.3566499611788283,1.0875187058183875,1.1158735166939697,1.1257742910062116,1.0156066358354303,1.0682096587298502,0.9244259347384696,0.9887733492756332,0.9089720266049577,0.9803922774378045,1.041190593753851,1.1067814746274343,1.172015819632833,1.3228993978640233,1.3566620867671122,1.2339139574265858,1.1886351448715753,1.0841609110682855,1.0715300992583014,0.9420650005984443,0.8945459868819945,0.993036017798326,0.8885886406335579,0.9922474397071794,0.9890139306102392,1.132685346413766,1.102796362371058,1.1357328061420562,1.281620057226154,1.239963540428637,1.2552293982150269,1.2837672864299907,1.1821002489803483,1.0583157244762043,1.0371710359181048,1.5848347826852252,1.592612116679019,1.7674789266236852,1.4369896050429083,1.3273226805898908,1.339397393985236,1.2556938953743453,1.1871264748295294,1.0852025912511933,1.0448163689606569,0.9848660331407283,0.9169500525593076,0.8834950760419287,0.9721713433059734,1.2065428113726002,1.201510336152969,0.9696499836301637,0.9952555728991069,0.9889978085958993,1.0615220531641267,1.1034798218670874,1.1945756726733623,1.2582580692002805,1.3722722930857183,1.4173164298441856,1.7274559476607918,1.6626967645774828,1.8225281317459454,2.3274956031115517,1.9586077891635203,1.7306138677002183,1.5142522654418116,1.4603725577055486,1.429925953933841,1.3943981811221366,1.3148851142927904,1.233348007426578,1.157502168331549,1.2035509051377262,1.323130917209422,1.344939834268037,1.859609892105392,1.2746731558140127,1.4536429855155857,1.4843494088257778,1.489232465301169,1.6495071237513859,1.6784084485145756,1.97648861998092,2.4641092408120473,2.1078676517611923,2.230735022502565,1.7200388095639332,1.805560657135959,1.60920777899407,1.7544240642820155,1.9176414895501184,1.4532716503035699,1.3570808585137564,1.2741529437330517,1.161262092387435,1.1297056925331075,0.971713635400604,0.9074714153968283,0.905581411411702,0.8847461000830035,0.7991736514635953,0.7969390319649671,0.8333430338809906,0.7980804706603719,0.9486045609796343,0.9265577406109378,0.9221953658221461,1.1064456398261038,1.2433488236578343,1.2211926797839903,1.131537290007678,1.040409982897595,0.9685757045008943,0.8673921695295921,0.8953270577954293,1.1467179036034094,1.631438955651609,1.4087117684626198,1.20018036317039,1.1836853931185394,1.254376391208653,1.2561204781299697,1.669751836561897,1.539859253751282,1.3545609453160474,1.544874474648877,1.8197625737979217,1.6325028166341202,1.5798761995772976,2.042146727935306,2.0842779964139955,1.7212072872993833,1.7977868426278558,1.3666249461399937,1.3819822081775142,1.4355060780478375,1.1945884581140496,1.3194182708035036,1.2800822679972153,1.3451726220280396,1.1910076479418283,1.0691626351398915,1.065451868470097,1.0351573564687389,0.8632953723076727,0.8559263880947646,0.9119815479273781,0.8617665240290703,0.8630463865924,0.8646221118009643,1.1115567085433742,0.9389239541747032,0.8832542413919492,0.8279131206701238,0.8663715111726304,0.9260395149053632,1.1450601577160864,0.9248023203771889,0.8767941850819674,1.0843223772177593,1.0863699633979333,0.9711279992359569,1.0929213207087451,1.3671349984919499,1.278702538206893,1.1359646894553617,1.4535289946193446,1.5846801226627798,1.5915037394869604,1.452583281398237,1.1647892335123606,2.0583272588196513,1.7056327569509067,1.2284813454978232,1.0727405622223403,0.8974394583130156,1.1373243714439838,1.458122573859768,0.9557695715819108,0.9387609852815728,1.1434148501037469,1.57085258550527,0.8600395613463517,1.0162412118336523,0.8758864835868789,0.9298071937915413,0.8962450518234062,0.9375248969656654,0.8359358036595326,0.8238539298578247,0.9373573833295268,0.7953927185791974,0.7576573107870977,0.651266517563903,0.7810039988565504,0.7447118876035356,0.8125746471148518,1.2259006840726905,1.5269541486097593],[1.9474222823061542,1.4981246055746922,0.9982139001274787,0.5268106053967311,0.6454926391093397,0.633039710780152,0.7282080825992047,0.7615222371097752,0.7867351767052919,0.8701566456145475,0.9106243761895739,0.9599065189867829,1.0433108724399385,0.9724055867768687,1.116711002721999,1.1566768767713884,1.2192930304771663,1.3287750689421962,1.485679350448029,1.506656876570116,1.5754576025987044,1.6434546322324666,1.7528237423596682,1.8043550234013659,1.7063324323333082,1.5884919469312364,1.5275939949113453,1.4076000147181413,1.3369893169380744,1.2318997686621975,1.305066614151121,1.1906748935500033,1.2172078312535441,1.3376608578095708,1.2937027736373403,1.362242455483698,1.3091703029157418,1.4951296707580006,1.5291573251467916,1.6426338583424225,1.6088153432519274,1.5987655380925234,1.7228827596722325,2.3732387291868196,2.8711907736840865,3.5405682497159923,4.199790408497114,3.1457253860688437,3.105866660416789,3.981546558400037,3.6978515722798324,4.317033843318165,3.3574543743364256,2.903240535339495,2.1546342121655986,2.593929548704593,2.6199093313112325,2.1251905937365647,2.1378301014423404,3.115339225892077,2.297635047261511,1.9219924495056342,1.676503766584378,1.71132274694469,1.8105467389479506,1.641278012986906,1.5927573397227903,1.4981869145649789,1.5493023670574755,1.405837443097841,1.6039724617846824,1.9483248841857783,1.5917272150849517,1.8598770520416252,1.4922800076720388,1.667530672127321,1.6081279191636972,1.5653156125411516,1.5748424671351642,1.6541727427402624,1.5471798727404134,1.8728426390072324,1.575087211794319,1.7118310707364477,1.6992801131835749,1.473806700746412,1.5245433988088555,1.4560042225175334,1.491919189907677,1.4598109991391561,1.4701064012977012,1.6248409107001016,1.5738776084097943,1.323387341059042,1.2186345883256458,1.2808370758746515,1.1699998997040053,1.1213271657509172,1.0492006431342626,0.9702692331910971,1.112975711192108,1.063895205669417,1.2055361445956736,1.113637082138211,1.4541623818592067,1.1440031754479763,1.1761034304887368,1.1972054563090797,1.046915743227175,1.0811474355562003,0.9216019765084733,1.0051958646355228,0.9014258477310779,0.9950253925083934,1.0728991475540248,1.1514914668589467,1.258798982897103,1.4123478590734337,1.5168513045431349,1.3571464165139586,1.2827838347494385,1.1456521295556659,1.1113679176307045,0.9522513851162288,0.8797016146504245,0.9814934813700623,0.867358051322873,1.006457010588754,1.0089749732074902,1.196248402884588,1.164750470809057,1.2287362073011117,1.404944843208669,1.3592837157004387,1.3586182002408111,1.339924654422789,1.2344041235756522,1.0831524772449885,1.0353646824620846,1.626626867742687,1.6573114082446219,1.9407239557023594,1.6118007981137306,1.4549598732702433,1.4980567164204686,1.3758441971399256,1.2755355014016934,1.1496392661006243,1.0856748750460976,0.9895815613148814,0.9096740579757361,0.8602054619547995,0.9584245222307393,1.1725807506360009,1.174932018928955,0.9680806771118227,1.010393269767255,1.0043677680621577,1.1129020604940203,1.1507341906580837,1.2721819124240004,1.3729675385209466,1.4917492769198653,1.584450720479905,1.9448847817106965,1.8235098819127444,2.0254741956416074,2.555926914738276,2.1071430558961484,1.8012990323875686,1.6240710631366113,1.5400889023618622,1.5606470349874841,1.5279657128012802,1.4484852026316515,1.3510617538200596,1.2539770413224074,1.3321111846028917,1.4776842607165463,1.5067146250282544,2.0186192863856234,1.3962171594741393,1.6175118362197864,1.679239475825043,1.6764323838109232,1.8818492393443693,1.9133341639499812,2.2778105154017996,2.712466916237292,2.397936509949716,2.496677431088419,1.9563673240876307,1.9996845514389423,1.7594466572907355,1.9447449147967588,2.075164323239558,1.584270722548503,1.4631856804841032,1.3499791138976036,1.206735218522407,1.2077587046038487,1.0206717600875703,0.9291709155088665,0.9504670109526215,0.9383855141767846,0.8000889431281005,0.8094594974431378,0.8696958834351878,0.8138040498004955,0.9483026929175304,0.9539323940054587,0.9481188963854399,1.1058370098672505,1.2786689813949443,1.2634698461674052,1.1870014832828677,1.109033262269204,1.0938738248548758,0.9621466624941933,0.9978599470557303,1.3255851542770902,1.8201920348070733,1.601852938092162,1.3171470755730097,1.3221134314912133,1.432287136886228,1.4116412441925108,1.8839830827701296,1.739184077993344,1.4969448093914837,1.7217898142511525,2.033284204815517,1.8164362248956922,1.7414711461073225,2.1991815279259574,2.2937659112497664,1.87884193183734,1.9177013452986282,1.4664135236928049,1.4942509855054782,1.5797779992336771,1.3126052501712182,1.41677343233092,1.3637274845652618,1.392005081949291,1.2535923784975662,1.1421566899111573,1.085794911001191,1.038028351083948,0.8775164623845547,0.8401961874048456,0.8651664973737063,0.8325494583199176,0.8639044173074724,0.8391372960233955,1.084142835796341,0.9428231606333357,0.9131943155998794,0.8846641966474726,0.9358216981095229,0.9969067029949406,1.2722599311460665,1.0349406428951207,0.9543156253024901,1.1960380787939422,1.2205266146322697,1.081788304133345,1.1938400269743035,1.5159603437627835,1.4222868138050877,1.2272387458424672,1.5745137124454345,1.7470786124435211,1.7216229937849867,1.5521515018790653,1.199347331520372,2.128446066543285,1.700580828296923,1.3446931823448176,1.1790158434207492,0.9596452932212975,1.1829008982960205,1.5460427301159458,1.0315337800682642,0.9815627304225267,1.0506383805688135,1.581434018851141,0.864381177331543,1.037543088412975,0.870761659676331,0.9219317866382045,0.8717505611960541,0.9174644660312716,0.8026817826478478,0.781494442849912,0.9202654410206277,0.7573183343074323,0.7123860976755891,0.6195386526076657,0.7655127120108864,0.7047513650482135,0.77786626433417,1.182070395396358,1.499127574076875],[1.9523069790841467,1.5186801953561522,1.0275648039112018,0.623637143969765,0.7666091494200551,0.7723583886956227,0.9197906578693065,0.9786693509611876,0.9963624259358673,1.0982035098375893,1.1549101490077753,1.2032680455207305,1.29311196776048,1.2040864791598942,1.3620904278381503,1.4098385120526735,1.4603666103376047,1.5709731154816824,1.7126358810369238,1.7561787128412774,1.8108909078603763,1.8814597399848334,1.9609602341606036,2.008595380130194,1.9356605641648936,1.8240970601693327,1.7842777031108374,1.6611301601449882,1.5948695344563715,1.4999770546700584,1.5634112298251823,1.467265854972125,1.5032325729755878,1.6218672844587658,1.5791922668017027,1.6389648629564946,1.5967956690218568,1.7639502565448235,1.8111844302402187,1.914708666435529,1.872390572626937,1.8466369785566052,1.9673744453436723,2.663558230177011,3.152667835951981,3.841252394405029,4.507727529377884,3.4394737363438628,3.392252044920705,4.252332411250881,3.9299116384546644,4.604866680139158,3.6676247152856196,3.1456276578315867,2.3444990357990623,2.8995297100439306,2.8690517118834955,2.3315617931866823,2.413278198717817,3.404036101111902,2.5578721242923192,2.1706902476210526,1.9288767239287603,1.9365601818949998,2.053655221076693,1.8938934307798587,1.8099179267818541,1.7340275782687202,1.755599053529051,1.616242452478326,1.7919241972025683,2.1282366146471707,1.7868232841049034,2.0564505793424486,1.7219713998285935,1.8790452879518669,1.8632594797053974,1.8326913146015602,1.8485493002017106,1.931407255842909,1.8498592555277844,2.1504646314625235,1.8807541214509196,2.010331316632968,1.9855641393246592,1.774151808982412,1.8110334421058618,1.7516460563681835,1.770050780446751,1.745974832650276,1.7413315968641359,1.8837504309043467,1.831000377309542,1.5844634680388656,1.4715955820572424,1.5321461176528373,1.4004132235357978,1.380144300019107,1.3140320255561284,1.2420512831090744,1.3931008293918037,1.3311241834973988,1.5005297498493488,1.3975091546475922,1.7258812655823905,1.3994405384938855,1.4233496029194987,1.4265942152486253,1.275204545236711,1.3331668706925421,1.1436139383968695,1.24721033760579,1.1346255912546586,1.2265410023031804,1.3032514936444528,1.3719509041170446,1.4887350400413564,1.6097600099108462,1.7169842803025974,1.577348042360113,1.4790215507676052,1.3465114771445499,1.2880011130281235,1.154773233162363,1.0735792461277491,1.193592154437743,1.06556679222103,1.218202056588786,1.2375856058602452,1.4464807526326633,1.3913784158121576,1.4635437320036357,1.6522701744409418,1.6328394452374364,1.6134950373726369,1.5624691334470484,1.4274073011074657,1.2686859733021387,1.1978889098640122,1.8599931765447648,1.8902881550826762,2.1687752639677313,1.8649852299994227,1.7058179408389342,1.7743721952309552,1.6483081614556265,1.5336580767185966,1.4089538714759153,1.3491522884126983,1.234296399357701,1.1562170948476522,1.0936473875896349,1.1917620703117735,1.3276603943584875,1.3720383051546805,1.2361493094391032,1.2786161587757439,1.2694152317630607,1.3864193370585365,1.4273009564887973,1.5347188959723816,1.6547113734085106,1.7652698609859563,1.8604389101438434,2.2117322783347357,2.071786638449983,2.243639142131008,2.739985545372432,2.2754792682342577,1.973594031616255,1.839357746489287,1.760034568905245,1.830781953201224,1.8038238816199759,1.7362786338527294,1.6453999766289977,1.5498838470702818,1.6443022603144881,1.7784531368166587,1.8105545101500558,2.2892675284341077,1.6703894593485573,1.8955072033978646,1.9567604527962446,1.960865331171752,2.176955126581215,2.2049862816845107,2.557807202915639,2.9405864316018784,2.657698969410991,2.7116567844053803,2.195250011858039,2.204643862425238,1.9619416557294804,2.149933223276139,2.2602719117952734,1.7624074469606454,1.6456369981285812,1.4976295734290976,1.3851044084793867,1.3526383004345568,1.2004551261910723,1.1068782515574307,1.0644642328059177,1.057449048352576,0.9263706791171537,0.8693160471570811,0.9219918284515372,0.8926074724371741,0.979564467284316,0.9540223253729261,0.9473856730925921,1.1112576716763674,1.2471526556794983,1.2316435059344015,1.1578327951737049,1.0578716541512276,1.0435684258822966,0.9532149079845577,0.9880286333746013,1.3327753706317844,1.7715640853308348,1.6357597304204001,1.327302429342997,1.3785982215812136,1.5356135486063882,1.543546522933404,2.0216481826590478,1.8379337175616846,1.5974718135567525,1.8461226942956572,2.13209169675402,1.889972786993719,1.842139582373896,2.3141508961494965,2.337391549182394,1.9365016484552573,2.0125483714128953,1.5749133970798297,1.6816423454885354,1.7524987161647863,1.4679041591870325,1.6273799646423366,1.590818555805636,1.6267306901021301,1.461144275292623,1.3279106847110207,1.3148053575401344,1.2413712557034837,1.0480253314150374,1.0122441335726424,1.0279126629692192,0.9586057006447564,0.9778868878940489,0.9433709768486858,1.1457148462148445,0.9820325927111194,0.9514546839388398,0.9207389870298971,1.0227305524243675,1.1217227255101192,1.3828620752200635,1.0896883622826692,1.0187272610721363,1.2913880653807637,1.2749083903999279,1.1154766035730193,1.2582641159480832,1.5656891426985546,1.4297160809502323,1.250186682558699,1.6057496316829107,1.7580383083602042,1.7059463249565556,1.546050658693372,1.213346495581791,2.1291088254320427,1.7136782679871883,1.3154041396356682,1.1235654297804727,0.9475015465328598,1.162539884495829,1.5028299501298514,1.0110536928680771,0.9611989382399353,1.0907666510694691,1.6089165054678174,0.9458988337810994,1.1884061044474121,1.0493860799158552,1.032738460093013,1.019300997946997,1.0248127616821794,0.9788146945997767,0.9213484789430568,0.9807321795577144,0.8690015217823577,0.8694535894425698,0.7077647803078645,0.8176212593418742,0.8111559472296996,0.8840088660807286,1.3338697028846844,1.6289139685485685],[1.9500222687696198,1.522600306809055,1.1775042361556844,0.8212353114541354,0.961595413949309,0.9469729042718867,1.0588740387433417,1.1124707474886106,1.0901473142233071,1.1430904827710133,1.1719966188910733,1.2449246582000475,1.3151087087340168,1.186796600378742,1.3259240191848276,1.3822298979522796,1.4133065204120134,1.4789202736941616,1.5634625566670388,1.6149443852223186,1.6261008643537156,1.6908514121175637,1.7513544062606399,1.7803263253879549,1.751452932567362,1.6484775124551427,1.6601350046702161,1.571157107207029,1.5241646374245863,1.4713909308292998,1.4867319414814586,1.4431587471503695,1.4611908170266283,1.5435189207878668,1.5111015962586223,1.5518477321258086,1.5656185071789628,1.6826428162399363,1.736272949513698,1.8271419644286984,1.75064526179008,1.7016468708439405,1.8081667179029413,2.4858185496836707,2.92712078516173,3.6252292013253506,4.220971703999765,3.205823646896387,3.2221350868038203,4.028417436372036,3.7076125078358566,4.454765222674304,3.4896129355736742,3.042441054667836,2.264489213779437,2.712973156397416,2.720674635300742,2.2136360317792283,2.2423823265431344,3.1929372035109433,2.36104593543355,1.984613058122944,1.764846629509865,1.7108663696754156,1.8329699287903432,1.725061870987992,1.6382123281723966,1.5854717600308974,1.6017972101428752,1.5028490038237865,1.6986863432373176,2.0238474426888815,1.6602408291553377,1.9144346501300635,1.587271277610091,1.722278157180361,1.7044220554155738,1.6862621142428387,1.7157221042596829,1.792460219764346,1.7535564981880036,2.0694618930082647,1.8451007577681655,1.9859587716447331,1.9558112929150673,1.731878950455254,1.7135164189112482,1.6856618236737246,1.6552274937254856,1.6395173852588882,1.6244990067500955,1.7487147293335525,1.7208230511230478,1.5045190353984204,1.4130888821763592,1.4622616027056676,1.3509955346548745,1.3651815947780999,1.3327526709367779,1.3026617634296653,1.4298624180748014,1.4213930382820348,1.5515391714036182,1.4966095101569024,1.8080126710295599,1.533553189123933,1.5659924364631252,1.5785501340464159,1.47142348820222,1.5025635621675761,1.3113077088196068,1.3851357267270512,1.2547761818297931,1.3153794404502868,1.3357037021266867,1.3791281394734765,1.4340051522174406,1.515385179516837,1.5683619156660638,1.4781690246712467,1.3925502989917298,1.295518484781342,1.23603312158533,1.1692634432529772,1.141541895617659,1.3034384494701658,1.243061861714064,1.3703363762284202,1.412284890112957,1.5819121708248725,1.5714916899374762,1.6273747802916585,1.7703629875443938,1.7398689656496438,1.7293698027877717,1.6665106366569877,1.5644925225174424,1.3908714509337323,1.2777798342767914,1.886726699419592,1.8360044307894405,2.0631481787324932,1.7632307338810107,1.665161995286175,1.7165918703671823,1.6076564506582551,1.526592609871594,1.442558932324575,1.4238286044261101,1.3290256228391013,1.2872032490294025,1.214638744351583,1.3111473115799472,1.4429052766481705,1.453549022118297,1.3227783590761215,1.3554857392193365,1.3716608371455639,1.443800830165402,1.521189505804494,1.5868342493031977,1.6595007749636097,1.7728216812815334,1.8428689949885173,2.2098207718233063,2.0862178224771513,2.264076421263236,2.73136427965179,2.3153137041773784,2.0473621447830177,1.9234091696180995,1.8277732155522641,1.8776438378503748,1.837217098720653,1.7612734546708664,1.691333021304036,1.5749301402926976,1.6688576041255847,1.7735379963891311,1.8315417962578033,2.302835255400277,1.7414141551904174,1.9435517211850477,1.981136242599201,1.9911544000217334,2.1423198462990483,2.1365295674744176,2.4527642359615576,2.8426819871762063,2.564458457929361,2.638671709309795,2.1605137874635427,2.196592472821996,2.006541182867722,2.204781055239189,2.344982978028293,1.9230616712859325,1.8325211713512592,1.6936263567781338,1.5966953529404462,1.5647804720571605,1.4271499920021014,1.326416149513252,1.2877545069083773,1.2883052391450232,1.1404039650431845,1.0519235809943872,1.1087192064160645,1.0889894879307656,1.0891305181398911,1.0613377769121337,1.06017622112605,1.1603243802707208,1.266095240886229,1.2489324833240325,1.2064011244811728,1.1135862068262468,1.128788661250136,1.1001985727920855,1.1336867362154686,1.4530192149529775,1.8145665261604653,1.7469717937244507,1.492484548171151,1.5635161191767895,1.7224904351213308,1.7343058661679704,2.1658974230899886,1.975978449024043,1.7855170989714308,2.0020203102581053,2.239040082806052,2.0142486359117595,1.9961969433173907,2.451045277412521,2.4145721244746823,2.042551896041025,2.1523422968325234,1.7525889715036647,1.874796968246849,1.94263440561564,1.6765811889892204,1.8363340883500532,1.8245913077943852,1.8362484674589317,1.6824306003439007,1.562102812205923,1.5436089123872254,1.4494298179916818,1.2807824777310186,1.2358159775334423,1.2209068599832664,1.15002654108189,1.1868335466859337,1.1306537948953936,1.2639941512792618,1.1159942161059913,1.1047703691967692,1.096502718253984,1.2300966706366283,1.3477198325347657,1.5785284331460259,1.286288328709195,1.2163637131981924,1.4991361352997377,1.4639854809755743,1.297443510810195,1.447922718764032,1.7270616442908064,1.5427699020816024,1.3981877162884662,1.7442263926715331,1.8423773370263592,1.7747852011464773,1.6442923840531192,1.3812877012560736,2.1954414565391125,1.823360391121469,1.4016590965409153,1.1384314690631443,1.05621081357046,1.1986678880915433,1.4609381641352477,1.0753384505164885,1.0663776539887069,1.263782735189052,1.7701895839699506,1.1450034843573982,1.4072541519864399,1.2551698567248915,1.1800632905914563,1.2183656082502086,1.221897365950258,1.1593169391405445,1.1231129706914014,1.1485863446893518,1.064132157034406,1.0501048591126887,0.8850136449835801,0.9667703633819833,0.9693456144105869,1.0247155119934768,1.4568098664749034,1.7497949616752149],[1.934298166318438,1.4376339598864276,1.093063360875104,0.6192096829050666,0.7306168021886648,0.7200547337853128,0.8178205972543834,0.8620982017404034,0.84673132363693,0.9136813734805709,0.9456091046297077,1.0166372461660609,1.091227885078584,0.9809202356241808,1.1305128447872559,1.1827850771383095,1.2209205406749628,1.3107117074650578,1.4291597317233191,1.4586712375411197,1.5152600888696477,1.5893672120068472,1.6833267812069834,1.7149566657912527,1.6373333267296635,1.5135441019913352,1.4748263635464338,1.372546899470634,1.329651591181153,1.2488267675672782,1.3039092877258864,1.2256835665050354,1.246711135253682,1.3549354550579267,1.3117458958415862,1.3618441062885767,1.3477389747722484,1.5083625530467522,1.517733617743985,1.6455065597409126,1.5623928932927673,1.5577800675414915,1.6941514340162998,2.328503296717144,2.742322742139585,3.3854062306818333,4.062636049054518,3.1153281851780745,3.098962662291916,3.992763957257039,3.7807658728949005,4.305413291414389,3.3663926468988143,2.945807789453212,2.224529193843293,2.6085533875399323,2.606349544058299,2.1641726216713706,2.150522897350566,3.068983538297809,2.2381183004564997,1.8867611713892927,1.646562371084381,1.6361380034823287,1.7435510569084876,1.5968391973627056,1.539206618506658,1.4468662209507768,1.4892585318482126,1.372829666862551,1.594021284702355,1.9245799576808722,1.55152444459193,1.8289526977786075,1.4553245847804732,1.6146686201292595,1.565616386249678,1.536001595411634,1.558600496368171,1.6426524241028666,1.5644738401342762,1.9145740077546545,1.6127535360784082,1.7606388272691171,1.7159033192608628,1.510016807136326,1.518005098734233,1.4682434473352617,1.4770000758408985,1.4541819032546692,1.4636603518818225,1.6048545208015337,1.5593097417434723,1.3275553624285301,1.2285577141462891,1.2849029330663508,1.1771416628148625,1.1506175413635444,1.1037998523888475,1.05193654649967,1.1851662460995502,1.1747082826919448,1.2939085198996036,1.2338953103322856,1.5947433435182088,1.2821660049996617,1.3383064986813245,1.364235519176577,1.2299899580726137,1.2422258948996985,1.0678105008052474,1.1155409517186516,0.9858019313285902,1.046762889947999,1.108418928763359,1.1500634694340461,1.2334405931888484,1.3442936459547183,1.4431973641142661,1.3265283614984553,1.2483399942190236,1.1367509433257275,1.0722771390917731,0.9556117745342135,0.9150915037184696,1.0310343965175612,0.9897338114939179,1.1237004882587485,1.156931891150255,1.3462647297580084,1.3329009621352388,1.415046871623043,1.5680523161706226,1.517796161955682,1.4950164092343112,1.427709298806131,1.360250308691126,1.1205315403169571,1.011090696371313,1.5898445799751324,1.4978041358940575,1.8257731355933489,1.5471039612958661,1.42641398908734,1.475407807133308,1.3739756888269619,1.2838142013781841,1.1937767671322486,1.1584146287714956,1.0660038848279694,1.0224237173302433,0.958691843496128,1.0802277785619772,1.2410989333513005,1.2206381927737548,1.0596611407161194,1.1050954078398285,1.1176891119384498,1.2005873679267607,1.2636613358616946,1.3440653083447274,1.4205003582512945,1.5076914476440049,1.6256321162773497,2.028363712733798,1.8403176775505394,2.109948280872328,2.617125441399077,2.186234372610297,1.8279929132193866,1.7035934546351124,1.5789089270702288,1.636446064403471,1.6076746226389584,1.5279362604228455,1.4553593390168766,1.3342200148095864,1.434896174486501,1.5589759342239393,1.62699756984682,2.1025527770483645,1.5243885424076031,1.7532991831107447,1.8010588016149143,1.7815525611734329,1.9324845417269811,1.9343023723928254,2.2880228016455972,2.672749770812511,2.413116261057873,2.529905987139609,2.027441200272453,2.0874968474434614,1.8651072004781826,2.0913044364641284,2.2293765298650503,1.7504487832070728,1.6493528777874142,1.5319379762053955,1.3948920299417442,1.4194032098634084,1.2470222215568332,1.1307663266449388,1.1436865130356795,1.154311790632698,0.9793330101619281,0.9365074888709701,1.0116439563332507,0.9652371132999067,0.9903460823469975,0.9868161079149406,0.980478828469169,1.074973111145301,1.2327134699087166,1.222730410758748,1.1831383886168632,1.0920763516800946,1.1577640557099156,1.07591148025676,1.1173242425097065,1.5103073830126659,1.90799228847713,1.8121921347534966,1.4423374583949882,1.4989545802544029,1.6620908623346986,1.6518476742916761,2.1279928623974036,1.945139759311663,1.6945999828087328,1.931068542050794,2.2173458150296548,1.9804928441762966,1.917455314228541,2.358309892175625,2.397073177727995,2.0028050825242563,2.0439457923485587,1.6417705178406568,1.709505690724914,1.8044105765371157,1.5441214190317436,1.6725948389393182,1.6519061111166788,1.6379234573874668,1.506017489295298,1.4250567663201061,1.3495838078316398,1.2580974604333137,1.1105899412427382,1.0570138846816488,1.0199006549147809,0.9751404052616346,1.0435969853131843,0.9629815409418137,1.1111954322232476,1.0142100106259095,1.0274390601259316,1.0325631766183048,1.149144142429151,1.2350016097536776,1.5292056503480822,1.2442920228974768,1.145414728242891,1.4169290689213894,1.4185349389452846,1.2547204933064173,1.3759411075903716,1.6861625629068164,1.5429262658775085,1.3540938391978092,1.6989853195673876,1.8513538535095933,1.7942013668280445,1.6443280403753924,1.3163273999555012,2.2153963329702,1.790405337017206,1.4549969791066704,1.1955286930821603,1.0333613238051014,1.1769192886071933,1.5598168918385378,1.1151647850586681,1.0401631143008652,1.0695722856947152,1.6419991514519046,0.9759047888912543,1.2046817402825305,1.0196127630028355,1.0306098830815114,1.0004549640172655,1.0179453868775692,0.9260963098869153,0.8785438854321007,0.9651840573945565,0.8468915505277927,0.8248297425164925,0.6927877307709003,0.8115676133474177,0.7629526197826414,0.8363854434493971,1.2466549834159242,1.564128558247522],[1.9208790657294368,1.4151286981310456,1.0453719519900828,0.5359511986497846,0.6687060291144563,0.6614725536508085,0.7663936666739333,0.8156994719542174,0.8152238712626759,0.905458355743105,0.9495807740415396,1.0101780202611188,1.1026802464463523,1.0027217450098158,1.1680692157304762,1.2227088012954863,1.2683938448501608,1.3892807168275207,1.5447622488764705,1.5819038212580343,1.663723244519717,1.7563558791047185,1.858130628378052,1.9054986516409338,1.8014492451804907,1.6560252692884325,1.5989830830528076,1.4617155896652454,1.406123906679123,1.30724939169773,1.374823121190105,1.273210010558109,1.2992635197550286,1.440251620706085,1.3950960049025094,1.4553168795830758,1.4221645510872154,1.6091949673303312,1.6336433279235791,1.7841742035453068,1.7061275524361237,1.7019020082629512,1.8642260119509682,2.542749539519319,2.9761412333660493,3.5986126795337348,4.36004149227084,3.3966965625015777,3.322829466969805,4.268068769921228,4.075818369886595,4.4971251117819016,3.600752359507441,3.118036708439829,2.3730820189648183,2.8697503270489007,2.8076190609319363,2.3085496633522467,2.365071555319127,3.3304592911837507,2.4468004697623567,2.070564292989167,1.8087143789792661,1.8226494886452445,1.930647623816016,1.7564453910289914,1.680008350177557,1.5663677458213876,1.5983442418440108,1.460511062786846,1.6710887608490512,2.0210890886044424,1.650648253883717,1.9356397335589226,1.5677344490299,1.7365962311343712,1.709099119665076,1.676212305104989,1.69829221133909,1.7916178594285563,1.6983785773509792,2.05019356238155,1.711098605996522,1.8812175868092322,1.8294780252528389,1.6136990124848773,1.6480588054574106,1.57734735785785,1.6008600817720202,1.5685715682399486,1.5768941524184665,1.7225905192542406,1.6621649880280118,1.402143148414649,1.283887444702995,1.3380770441569199,1.2053373814792203,1.1829347327516961,1.1179565636315445,1.0458417656645578,1.206227346306381,1.1702379345063714,1.323547057860401,1.2381903431887396,1.6196207936862215,1.280251666186913,1.3351350420679888,1.3581746461049284,1.194595685025057,1.2057028023033016,1.0220532907055708,1.0897612553964895,0.9563833289930238,1.0366001404111125,1.1195973796121574,1.1759086663146947,1.2854361538224122,1.4021606980848473,1.5439156534988063,1.3985936275605415,1.3025807272869432,1.1683350890875421,1.10006361217759,0.9638139259265718,0.89779961354979,1.005958686102066,0.9374172901762073,1.0892357254689722,1.1179398007742334,1.3370400875314747,1.3086739866897832,1.4159770929471807,1.592164252169303,1.5483988103890396,1.50858155033579,1.4243957745474016,1.331567180787508,1.1076472535768105,1.0107177861587096,1.6167211744371854,1.5663838553076241,1.9284641457779155,1.6570330987012452,1.4998001824837377,1.5720242339328738,1.4437533820249444,1.328296619242468,1.2170559387402808,1.163619060469309,1.0517709669339268,0.9914117650672571,0.9226934220603208,1.0512609216780993,1.206109369356801,1.1984627253623175,1.0387819819776924,1.0947153777489647,1.1027342582585222,1.2118609699392577,1.265211712177258,1.3691815501914446,1.480621876715583,1.5711150145804473,1.7189108279895775,2.129888348758992,1.9104028980547623,2.18843943367112,2.699215520088085,2.2163281118760363,1.8233601226556604,1.7200230368525913,1.599278960189661,1.6892885867627156,1.6671243305335157,1.5925363420244645,1.5063901837231102,1.3862984999304688,1.5001235790522969,1.6434319822365206,1.707287115688723,2.181167428920056,1.5640196749119575,1.82058320332289,1.8983749554893716,1.871421918438735,2.068531889917263,2.07740402257434,2.488890379958729,2.836164411267306,2.5970400020727746,2.6961442875757324,2.1657674310029726,2.1889353515511827,1.9248619661147328,2.1427042284401403,2.2517681335959625,1.7636238072217125,1.6460937532505564,1.5058277289687063,1.358575710090452,1.3967302903146501,1.2103977346429993,1.0779705419403383,1.0990661107058224,1.1151650172263725,0.9244363916633105,0.894667203476268,0.978801311307454,0.9251150246631072,0.9669500789287075,0.9802933319678129,0.9745723299957773,1.0693907838938936,1.2586906036975156,1.248230903887922,1.2033332771622598,1.1250551871602652,1.1966010904033733,1.0796184330846381,1.1283809927067479,1.544284484394374,2.0008168862651585,1.8452513825044514,1.4858979365587743,1.5289941908160571,1.7056895526856692,1.6807709727490627,2.189898248130157,2.002572587762124,1.7185547322992212,1.9722825895003573,2.2953211038672303,2.0319807628453366,1.950422856968716,2.408392367556455,2.4685102852963134,2.0342693665799128,2.0698448187640297,1.63317430733191,1.7093042584241251,1.8273273160108594,1.5490069318052226,1.6802648722221847,1.6502622553115505,1.631251666186451,1.4906842985029287,1.4008070054350985,1.317369199821448,1.2191913900184943,1.0610354895435612,1.0014583414777984,0.9574096957286303,0.9169263548521666,0.9989657952201038,0.9159895119653307,1.077085813405606,0.992031773168142,1.0084452250676335,1.0153382188393227,1.132519051745999,1.21090050606407,1.524815310816997,1.2421805415896436,1.1250023826954982,1.4165689851244285,1.4311081957445984,1.2542431774675862,1.3685212317875917,1.7147679558042896,1.5723430583444578,1.3501897450633438,1.712646443609276,1.889884825332558,1.8203642425683983,1.6479636105918916,1.2875206659810567,2.205148164304022,1.7359295280126121,1.4757794709179661,1.2482390040093057,1.0326320295909512,1.1963832051611691,1.6090546693920553,1.1273963306874675,1.0411364992472143,0.9955511082740386,1.5971723739654857,0.931002083053849,1.150920395907497,0.9621792520877289,0.9896031296531775,0.9387845285248511,0.9622027596486256,0.8556396648795924,0.8134816940833564,0.9212072589672803,0.7810324217726947,0.7574358263571542,0.6169787813833884,0.7556144831339663,0.6926886501976621,0.7846569468891746,1.205478015441253,1.5189264903680426],[1.9175412352339178,1.395176185544656,1.063184940069114,0.4913675345524089,0.6073406286738467,0.6126248905909749,0.6598728152763456,0.6892190294358155,0.6831486127249121,0.7539611024218776,0.7848398078411367,0.8486649016771122,0.9226771193411266,0.8376585852617245,0.9877488545024005,1.0268302788859234,1.0791873360007276,1.1880941910444385,1.350451507313474,1.3691555338792636,1.4568512346772684,1.542067853504003,1.6651828402221118,1.7179078732466084,1.6063833877409215,1.4570042357371578,1.3869772738555852,1.2606285100909396,1.2009466574888032,1.09545853812302,1.1659907867959451,1.0593548374950295,1.0783966969690726,1.2050560942013178,1.1652019152479511,1.2299010337517322,1.1908646140014476,1.3826428706872989,1.4008677722750726,1.5479940313864518,1.488131354949158,1.489153957534891,1.6443346697818373,2.2505278871006147,2.685946910551887,3.2843943530567783,4.006768747144989,3.0711525948004947,3.014099090643979,3.9455116744479644,3.791468132615789,4.17627756276829,3.2701428552214518,2.861212870697542,2.1854617700761763,2.543619423520541,2.5492764965321646,2.1057869555447084,2.0830484210838307,3.0273425989047276,2.1880847052334946,1.8350088295499138,1.5736039044184948,1.595274895905805,1.701147419115291,1.5299591669155934,1.4779400003127352,1.3602552686301526,1.4149894885172716,1.267932455900096,1.4934164960967904,1.83471396049105,1.4589445705158735,1.760184642492179,1.3634805909164907,1.5363171124458737,1.477557590649121,1.432219144757738,1.451844038959796,1.5430912331364481,1.4297191536324538,1.7979335850636076,1.4715301030374919,1.6267607794657695,1.5824270682435715,1.3677926697108662,1.4016229494182197,1.3253072965810928,1.3607675565682222,1.322143262996839,1.3396837621180857,1.4943001432944065,1.4283611022322882,1.1790344057790296,1.0754193160403138,1.13099155590491,1.044387365271046,0.9834574620038103,0.9238842177207236,0.8611205250903773,1.0047150728707646,0.9836725111548902,1.0989188297094397,1.0249413813698316,1.4064199594419138,1.087460868253653,1.144447990133446,1.1812153622113213,1.0505745694738873,1.037695871599671,0.890486845084296,0.9296625498256059,0.8046188428314771,0.8747304183732738,0.9534448483492595,1.0165196632238187,1.119571597824765,1.2646085363552206,1.3790312395226407,1.2232769672670845,1.1507642497946755,1.0185600535758368,0.9740558883659771,0.8283333385737539,0.7748666611170435,0.8612362423315983,0.837005173156508,0.9581063481810593,0.9713525042021948,1.1492963527949305,1.14639520211193,1.2381228984640877,1.3918861303328747,1.3350245974338268,1.3117217306784013,1.2614011487205672,1.1922360787725013,0.9916796816787578,0.9147064110075621,1.4288257981219756,1.3946753080015157,1.7504607356087782,1.4534132242614548,1.305354876393957,1.349899430365442,1.2329463610352474,1.1392715341596966,1.0250289663539947,0.9752963841193364,0.8856154419186499,0.841744981758924,0.7727978652463188,0.9100609955049628,1.1127117737401404,1.0448720750773937,0.8605277592442369,0.9082814072774447,0.9220213021398199,1.0085364204645277,1.0701655233652316,1.1674109884108426,1.2609894939757136,1.3536520740303892,1.4938558050210111,1.901997231630013,1.6995942003602742,1.9983005984754005,2.5335568150606305,2.081252343030274,1.7012218676682855,1.552308497183047,1.4312758145359024,1.4684802138522135,1.4426401361830756,1.3598033982693136,1.2759841326892005,1.1598434849278418,1.2557368331654883,1.4044364912751512,1.4550652163900175,1.9449276613902202,1.345796712562041,1.5754365114832702,1.6447013055049133,1.619226788983368,1.8019516428614581,1.8136956925933838,2.2145429578944005,2.6124543748821343,2.335507764451596,2.4681092102010895,1.929814059050741,1.9945205681026676,1.7476298523428346,1.9676852687397894,2.094668495418802,1.6040034588881253,1.4931735390751344,1.398170378941989,1.2408814961384182,1.3024179047142166,1.105026649923785,0.9836845831045851,1.045328426825109,1.0589393386776507,0.8746875407367626,0.8827730349965102,0.9689888845533229,0.9049062835895734,0.9680808941352543,1.0065171952631162,1.0013846099234227,1.0838235951443251,1.300949640550082,1.2804845320879092,1.2398334953477246,1.1657368137815667,1.2370772609743361,1.104285057320177,1.1519887523229029,1.5466843488537543,2.0384799681824024,1.810215841751364,1.4740022638458712,1.4876399930311544,1.6280166459067813,1.587333927237865,2.073351266332576,1.9134727524890278,1.6497560004815701,1.868651146981798,2.1936240305432144,1.9609754395491574,1.8629791403755052,2.298048714742813,2.4182214386722363,1.9797098411303742,1.9869218558196466,1.550315059317952,1.5628012569656382,1.6930072259191404,1.4406690394754078,1.5288517427417645,1.4949158987181013,1.4748911788111816,1.3560368861518828,1.2865670549597337,1.1893136606268715,1.1127878710864114,0.9796962427906152,0.9207931057657085,0.8846614215700631,0.8665524009984663,0.9515309106749316,0.8865621724766259,1.0598878062399937,0.998633438118669,1.01064347621476,1.0119131974189248,1.1007176208064429,1.1491560188231833,1.4574725739190302,1.2159471338993546,1.099216315202847,1.3596130571218552,1.3954410635759753,1.238903046814097,1.3306626400543529,1.6731525174978061,1.55976540029045,1.3363734663640876,1.6893395294331148,1.8793391876817065,1.820910034868411,1.6460830915001006,1.2893489846110548,2.207269487881236,1.7333563238725882,1.504677588578193,1.2890550178574574,1.0597311876523163,1.2172493462511957,1.6362018112220127,1.1564295311698702,1.0686668276076716,0.9752415754671705,1.5928649994742536,0.9022230046965473,1.0636477146845835,0.8485945779899083,0.9310676356980524,0.8666804193357436,0.9218728339726253,0.7736514787954386,0.7537809320962284,0.9155560523980656,0.7496592200405313,0.6898779179217353,0.5846321422193441,0.7565809565845226,0.6551315295250323,0.738646113597394,1.1260102430679337,1.4485667373401256],[1.941615279960855,1.4272035487822705,0.9632622176405203,0.42926426897621195,0.5377551651340178,0.5177498092182138,0.5794720137317884,0.6065195289903142,0.6399657599272066,0.7237517701132038,0.7637968318006562,0.8006576431453089,0.8838292622207897,0.8344231789061509,0.9783803141430725,1.006486618539248,1.0708665686767525,1.1946507985013166,1.3771251977634402,1.3848639995327314,1.4825672835795964,1.5600777751222077,1.694833533110687,1.7564230984405853,1.6308251016809725,1.48784353259266,1.3995716367885787,1.2649541070605053,1.1911230272023803,1.0622921692980583,1.1607214047574075,1.0220469715430271,1.051316621557555,1.1848502591871581,1.1349690177140013,1.212707370833975,1.1460764433451474,1.3637759181768103,1.3827017106089012,1.5265449407504932,1.4902993650331715,1.494010023106859,1.6459927641188667,2.2809564087140446,2.767405326550722,3.387463163314171,4.114091373654189,3.1075261525958022,3.034706092233156,3.969270747592395,3.775852697219399,4.204423945237729,3.2799373767799755,2.8476019394424688,2.1485050948364597,2.5406613862642886,2.560820690184337,2.0883507657415716,2.076973510946574,3.0596740008314014,2.2214285731310577,1.846221268919496,1.5810444666523011,1.633948789563298,1.7312935420035753,1.5438427327725082,1.5088868917125005,1.3814988528547962,1.454223952577607,1.2963010979946343,1.5128372303893933,1.8714766359381365,1.4986625844622607,1.7758783457470269,1.3812200146512974,1.5705050204366566,1.4948616825185377,1.4406903441389385,1.4468463346980747,1.5341552558469587,1.3951377217313583,1.7572136736974346,1.4137804700621739,1.5613903434123222,1.5347331363072676,1.3184601541518144,1.3789217173548936,1.294237992951628,1.3516995969655676,1.3083912323144762,1.3335736642185505,1.5060722833455353,1.437475179007099,1.1766534735383605,1.06764932395206,1.1311616053306095,1.0398149992112165,0.955868649133653,0.8773925439145018,0.7899450157435779,0.9298710648330643,0.8853540064213502,1.01709589696247,0.9180431317838903,1.2910682301478884,0.9718161410014586,1.0033057276586521,1.0400548051785743,0.8995077403386039,0.8943545715921557,0.7597849678583382,0.8213048258495788,0.7175028762623124,0.8128739513960211,0.9181452402588257,1.0000766901151068,1.1196561811290002,1.294773724843723,1.4155195629355368,1.2386597288554517,1.175674892113006,1.0279546050935862,0.9990870024746278,0.8134246310635725,0.7285076139408622,0.7997221338086765,0.7269944300081396,0.8533841675841359,0.8424443399890359,1.0245787320594268,1.0141944619042946,1.0988699764832373,1.2843720358238007,1.2197107739159827,1.2135137770335114,1.1912036750965993,1.1026135112812805,0.9465034518922519,0.9049986957325533,1.4291852685149236,1.4611019142508874,1.799278730282731,1.4757603558122363,1.3018043180582026,1.3401690908043744,1.2136963001752168,1.1152905184593325,0.9771597756764385,0.898903994769907,0.8093716680814009,0.7332172978140215,0.68314580285707,0.8112269800672071,1.037149742562346,0.9972518951681688,0.7733988666227365,0.8227795492775135,0.8174005028436301,0.928092760687259,0.9667650663375749,1.0989002960562353,1.2067271711670773,1.3215429459044383,1.4494707830719225,1.843774734749809,1.6824537574491227,1.9541576982194777,2.516014369438222,2.0506921198251526,1.696586266014779,1.502924149161629,1.3986261745255821,1.4096348744777285,1.3769835567570052,1.2877403543264525,1.1834258389299028,1.0919835487381202,1.1687655671808237,1.3315995833212928,1.3622261957119197,1.8797558896268582,1.2497015842608,1.481254363229878,1.5622834918124366,1.5435125940390333,1.7558433006392424,1.7883927591076296,2.2008074231295223,2.6283820890145533,2.3261932925994238,2.455266476261507,1.8923121334316018,1.9511730875664006,1.6892692969066903,1.8718594276213876,1.9885242313735942,1.473703056351603,1.3475232292556043,1.2513137142617587,1.086205331468204,1.143042199498044,0.9366723891359506,0.8341248060853033,0.9078800406358649,0.9191535946994538,0.7795774365153095,0.828960004578961,0.8953378089839752,0.8431175061490976,0.9912861549050336,1.0331039050014015,1.0342730034193157,1.154513137216991,1.374362703464815,1.3537971161756552,1.278456245390539,1.2242487202286114,1.213855902960109,1.0534757731052662,1.0993031258280732,1.4426418971071655,2.030378422260607,1.6854512237015329,1.410893790183794,1.3849075189550266,1.48374567734174,1.432149117705322,1.9130582472681021,1.7849055530650768,1.5141435192239916,1.728137540755792,2.0769752426994237,1.852201035441665,1.7374087447026578,2.179065794415042,2.3557831322916023,1.8822669162641148,1.8821791395482832,1.4169248413332938,1.3972263281104362,1.5284066552664137,1.2789546160515657,1.3462250334273604,1.2944225866841177,1.3005849838924188,1.1761828012608366,1.0950259362760022,1.0067305775857245,0.972762252611748,0.8273085150595554,0.7929624665679883,0.8137606382744803,0.8154267875105968,0.8724246440173996,0.8625146158537871,1.1217117816909692,1.001213632617427,0.9816677072799139,0.9497197410965408,0.9809652514499017,0.9967323324618009,1.2888592040610787,1.0984454791735645,0.9886357315675105,1.214830849294179,1.2732959270716324,1.13535926726071,1.2062180952303663,1.557734789734796,1.4861791641360764,1.246961535080343,1.603014367601073,1.8213036258125996,1.7740359587409036,1.5661653141903877,1.1895397986874539,2.0976914559571997,1.6154423972191454,1.4289924622093926,1.3220691568874063,1.0428283585855007,1.275145635882572,1.676452094879429,1.1295521260410992,1.0212520095924462,0.9242636006199972,1.5192305240344972,0.8250995387645761,0.9258867328092144,0.7201364247213039,0.886697094583294,0.7608618904806947,0.8416500586708914,0.6490555270210374,0.6448576816474161,0.8608940547323571,0.6559865856864973,0.5798442911971419,0.5232369922540722,0.6982859966640163,0.5935751241685719,0.6895870714015123,1.0992877807691437,1.376860364082968],[1.9597226057919868,1.4774480088240995,0.9188399930343287,0.4501628804069483,0.5299457511364393,0.5084302403115835,0.5207901629896066,0.5394718205186427,0.5925296740553416,0.6615959518744496,0.7009077381885442,0.7247669741658543,0.7910804300100357,0.7783737871800261,0.9019537289711179,0.9087379670022082,0.9761437604653138,1.0981716255686467,1.2797708516591768,1.2682400277768284,1.3648517410755159,1.4282742874163197,1.5702445284469417,1.6364381881457506,1.5122117501667574,1.3815460626506144,1.2808442959021715,1.1614673113129057,1.076943621633985,0.9380692825591602,1.0557744628489008,0.8957328610915685,0.9344771835702701,1.0505822465110368,0.9926939244551806,1.0800831745751314,0.9980562472271807,1.220208263918203,1.2314420030521163,1.3605096593517179,1.3556408407508984,1.3592297414125831,1.4890198568719615,2.0977242170091133,2.6275776687430175,3.2778058352406223,3.926745171186894,2.870512794105291,2.829392917457077,3.7207628259565184,3.4722676523872016,4.023516186268401,3.0461033961626165,2.6466897100752664,1.9839573120422749,2.2932648438400176,2.3906117549200068,1.9140975057461271,1.862638239557377,2.858460614235956,2.0595262030071386,1.6816329463456157,1.4235289415528032,1.5023338050858577,1.5897094206474558,1.3939991291132268,1.4033966925087402,1.278369282166272,1.3809800194888036,1.223848247826441,1.4334842651530677,1.7792810478732741,1.426023021545921,1.679624673179056,1.2786591381745624,1.4776471854079583,1.361598981185095,1.2995778035861987,1.2957112132002782,1.3607526403313004,1.2087454665209494,1.570289322187506,1.2287758029042988,1.3367787613563302,1.354329064336792,1.1392352832288544,1.2132251343066403,1.1341224555204226,1.2061209782049074,1.1642399198086542,1.2042363008651111,1.3822182807496324,1.3257551859399126,1.06932375761188,0.9734735049987062,1.053095360258518,0.978670468067148,0.8666723060867889,0.7826556808801892,0.69674366286131,0.7992622729800503,0.7706371670332125,0.8499394733605292,0.750614321101294,1.0781325937006243,0.7959190468107644,0.8175097830109119,0.8460537556053103,0.7236900540158173,0.7364774734796711,0.6307391744080807,0.6835606370873288,0.6138888566388734,0.709562240506708,0.8273999644429153,0.9242723035771155,1.0415883753667654,1.252970178307188,1.346278614049034,1.1624896757755643,1.1194284886094283,0.9794127998783676,0.9773293871279388,0.7666352714157253,0.6653846206461368,0.7127062500997102,0.6187103731679786,0.7226295133171201,0.6828931847521931,0.8415664435016401,0.8286500700624211,0.8875003367765795,1.0656293143881461,0.9943663717331468,1.0198371600871636,1.0601537751921084,0.9717139146656238,0.8630444398828014,0.8602883033967279,1.3452691858513668,1.4304202981121266,1.7227411436130562,1.3695322684343223,1.193744995523283,1.208722065583226,1.092238822816234,1.004545683606751,0.853214462054965,0.7662116254478979,0.6993183615923237,0.6148172501838954,0.5910466588224954,0.7236793282343329,0.9973400719119085,0.9391147103473648,0.668322072740687,0.6988005475239427,0.6821646322411151,0.7873435546434251,0.8031779554856266,0.9557204859509931,1.049080965430902,1.1807045496783768,1.2737477051665715,1.632122006927023,1.5407246052699002,1.7693375335595576,2.3583422921342274,1.9341444892801904,1.6348947338249835,1.3668948582430522,1.2906388323770155,1.2411931655562882,1.1990190001798644,1.1029868313154443,0.9857214103411547,0.9239002679970765,0.9674824466936712,1.13486858528271,1.1378187508717483,1.685442274963264,1.0472215428982494,1.2603904612308598,1.3280405063868193,1.3185526079470866,1.5332109630500694,1.5911749554842876,1.970688893919859,2.470849489958611,2.1095868254637717,2.251129632378881,1.6777600389835805,1.774164338300696,1.5251925870737881,1.655012276676659,1.7889609226151284,1.2695192251569958,1.148629863080076,1.0843023022943998,0.9236748356642273,0.9671126723896284,0.7698134016639651,0.6987617842743662,0.7882254618666414,0.7998928507775863,0.7482194393147967,0.8246336316859576,0.8695610039491152,0.8502083026717763,1.0617570630318978,1.0944871124996538,1.1024855149727666,1.2642427483893877,1.4553449175056044,1.439525627400697,1.3279368843066723,1.2986048584900316,1.1901684928346614,1.0240391012974952,1.0682686294420833,1.303410999795698,1.9234199121834943,1.5163752421728776,1.32476228184639,1.2383584724790264,1.2589067689417586,1.2149654625533504,1.6377385424425799,1.5727338116241276,1.3266929289490375,1.4909345497450845,1.8236257616447593,1.6484092171205218,1.5357056647268674,1.9681314277394377,2.169248541667471,1.7132485830282569,1.718837793004102,1.250443683301087,1.1822301614255755,1.2861430355869548,1.0655504609813535,1.103013011964721,1.0542978599727415,1.0993541522270074,0.9621638153577737,0.883001231762251,0.8334851058555071,0.859558835704379,0.7316394048185781,0.7606581293746972,0.8443855859588965,0.854543516613231,0.87458608490507,0.9327609962464058,1.2328096584294426,1.0658046001104948,1.0203769698519902,0.9424003809314545,0.90321939395332,0.8686690830065775,1.0913645011125002,0.9896020980266842,0.9057673801572287,1.047335870060646,1.1266480047414538,1.0350605461172544,1.07012947427428,1.387292924001705,1.3822822991871508,1.154731433985761,1.4698628039439172,1.6955761615152796,1.7072743430465138,1.4904322252180315,1.1406722601584127,2.0233554342573434,1.579744488882064,1.381395478921039,1.3212420767075808,1.0496644532429342,1.335418431250068,1.6729170612216573,1.1133317191246108,1.002143194215876,0.9761859316059709,1.509525332081869,0.8015840728733686,0.8038440625680443,0.6209664948635621,0.9039138142117752,0.7344718902278242,0.8502374224814759,0.6072703225885574,0.6268975440715634,0.8954655824697013,0.6702418253768302,0.5515161108780163,0.5877976321696893,0.7493774744562941,0.6355183751261859,0.7367548824785908,1.1062895280799894,1.3737768285212388],[2.005010758752048,1.49960873907682,0.9779431272573623,0.5196486285787304,0.5638404569764698,0.5544766763156921,0.5333950855742969,0.5414758193330745,0.5862002692855334,0.637680446498373,0.677119435638765,0.6961509901420265,0.7462672320186299,0.7540880760230299,0.8684499831708052,0.8720071783292548,0.9375846056365591,1.0674910182060062,1.2598331595746088,1.2448817139299835,1.3598397438421228,1.4236057052697968,1.583880857026455,1.652491419370779,1.5135949776122402,1.37051478599887,1.2523670524203163,1.1270994220661388,1.0383576008890107,0.8923680774215285,1.0150334306741293,0.8515484575511705,0.8893636971751704,1.0015306205880818,0.9474010978153963,1.0402602872667055,0.9495296277200258,1.178218764932693,1.19460778999223,1.3367276223678508,1.3292349491585052,1.341453635228149,1.48295798331334,2.0947675385884574,2.6184312104525085,3.2419083551986025,3.9376642444393317,2.904585898716407,2.832796874761937,3.7601098492138245,3.565058702221166,3.9980568744605427,3.052814928659484,2.6584637107335443,2.0075030416112583,2.313151389261812,2.397438414617238,1.930874311684252,1.8712683960948817,2.8725005703891915,2.06315334002482,1.6882337542577253,1.4154835546553532,1.5024790931266583,1.59219289015133,1.3833500343154548,1.401507400068917,1.2598808048324752,1.3737589186849188,1.2077394566592912,1.4229118367183575,1.7756508422065993,1.418097818574952,1.6893115072596243,1.26084597987653,1.4725002549133455,1.3405294525013143,1.2715806216657681,1.2636957095830532,1.3350432925174782,1.1661974548690497,1.5448889978612454,1.183287835101696,1.2900860494961175,1.3058236237927823,1.0951059549257158,1.1732923152710366,1.0863345258418575,1.1718179193563576,1.12323073627597,1.166794812253681,1.346849192179532,1.2796948338158147,1.021874489873747,0.9320511707939002,1.0091412085174936,0.9417414170856405,0.8363058545738931,0.7480828806330568,0.6720183099412845,0.7511104049635793,0.7496648314314158,0.7886652775699462,0.7005523038371066,1.0452351574765328,0.770568845450599,0.8059187387937669,0.8545973474172845,0.7374495134645773,0.7176020583506758,0.635121587028589,0.6574788617046009,0.5924213195097848,0.6747285451545189,0.7885845959643858,0.8913124293685798,1.0125555301213212,1.2395883581592941,1.3313906183362683,1.1440193734539337,1.1081434732262714,0.9519440278089546,0.9611341576680514,0.747200740334483,0.6514099816558354,0.6789657921148217,0.6294365055545612,0.7074594026382498,0.6728219840649773,0.821246146501654,0.8189505432205711,0.8914708733969919,1.0542512458048734,0.9735136884322775,0.9970341193227532,1.0384264520453084,0.9732558392674209,0.85105044983009,0.8347916060253323,1.290573774577789,1.3763438632524025,1.6890746672461185,1.3365570567494194,1.1540168463469054,1.1644486006926231,1.0492188637975295,0.9636983643097552,0.8077546786501851,0.7205823681093141,0.6594097913811836,0.5941252760927246,0.5764443211412299,0.724871694526613,1.0029741740087963,0.9005051216064445,0.6288570570024669,0.6567014107484876,0.6446219877266884,0.7445995350024037,0.752788568928952,0.9187992529908925,1.0053951971197783,1.1332173891645891,1.240793608997382,1.615186746026805,1.4955752733145995,1.7611237293262274,2.352854970119838,1.927346540202949,1.6059663019196175,1.3407265536272661,1.2607046529343993,1.2071815814802693,1.1628293166264732,1.0634533502814931,0.9467940373111422,0.8727933670390593,0.9191294133814754,1.0932177745780602,1.1012831086169936,1.6407427556097207,1.0221398644049629,1.2332178288540772,1.311157391278348,1.2941568305909361,1.5074639702835573,1.56589035716149,1.975313822821437,2.464502649601685,2.109113701160084,2.2567832207257026,1.6781815713034605,1.7793098101852503,1.5137952580085152,1.6422227555335682,1.7637931228728705,1.2627944453417703,1.146082564377296,1.102905859918576,0.9303782568993734,1.0246893276391695,0.8214105598929563,0.74527722476523,0.876350795982607,0.9149217434572267,0.8466024681533864,0.9311496757395923,1.0034816011655199,0.9883789758972197,1.163647666164011,1.2213088989752012,1.2435807267512626,1.3652827772408904,1.5697676084670158,1.569006129796936,1.4649994162572084,1.4917705912969994,1.390386318572716,1.2109267629683886,1.272163376057618,1.5172989985049896,2.175816968548331,1.7105199362641463,1.5022999921511737,1.3991896547284326,1.404832319606002,1.3348715795697021,1.7482149945549024,1.7017316339802688,1.4302096444245054,1.5736946617991487,1.923538429370134,1.7545646673377717,1.6118853438987482,2.000648308982655,2.268245886919762,1.7756239505107656,1.7449671386042305,1.30199521050443,1.1979366300563057,1.3323809237975635,1.1375956784267338,1.1305091271512184,1.1049252203190283,1.1058352871329227,0.9962729143351345,0.9678760833821121,0.8834281528876442,0.9136890340218595,0.82966246038203,0.8564418384931515,0.9089690740646803,0.9505058273626918,1.0033454969870552,1.050302603413031,1.3176673566059784,1.202552819242886,1.1867864585100556,1.121280471515395,1.0723575487280432,1.006617513851977,1.2274253118122127,1.1706932688041818,1.0619947602660773,1.176077436585761,1.2869801747695724,1.2000815383713281,1.1927412112640807,1.5294325302576157,1.5431511965718527,1.2850943544267701,1.5768113059936066,1.8400333241932323,1.839708458462993,1.5998445049337187,1.2296048326467002,2.051159301370219,1.59507657610602,1.5329504773647673,1.4651658404225116,1.184176060797662,1.4428315547519608,1.7812504700301037,1.2360670402294909,1.0993838707807713,0.9577441501262288,1.5233684635774951,0.8611719041465632,0.8210252077219395,0.6353023601342648,0.9555202437971406,0.7779921031084335,0.9120783651603022,0.6580155464398199,0.6603466581866833,0.949620894428373,0.7395563456482035,0.6085182489303751,0.6617665132761077,0.8265787987320387,0.7053955519069811,0.7991512467291433,1.0745604733633716,1.3540112785185958],[1.940741295874916,1.3985602809972628,0.9883459443259404,0.42994870459221957,0.5268940163091002,0.5093728514217937,0.5178718492612359,0.5405376848655706,0.5577865862545889,0.6261089656087618,0.6561201444165198,0.6993110572873891,0.7690565209376558,0.7293270393367184,0.8668884296210551,0.880135702425033,0.9387356542806747,1.065542259370911,1.2469434615609498,1.2459029329996347,1.3469646719287989,1.4282378887220992,1.5697612874004907,1.6276651514675609,1.5000295190250243,1.3502472253613949,1.2540970779334202,1.1224627785401138,1.0535225247596247,0.9196275517100745,1.0203951560083122,0.876515454421612,0.9064650867142785,1.0322318344721872,0.9846190439964263,1.0664927337598813,1.0035397059653943,1.2185030502160188,1.2269818074932515,1.3876317483443237,1.3478273487618988,1.3548155455480744,1.518014408428972,2.097055919928669,2.5425585481873516,3.118542228254591,3.851299209874035,2.923807968487604,2.8521074890782674,3.792009498176366,3.686898738888644,3.9840551235368866,3.0863882531979736,2.7143194912123785,2.090865281584324,2.3958894150080017,2.4265679553114095,2.001670002265426,1.946373887601974,2.8912557228616524,2.066801709048009,1.7070028659045582,1.4347652212915432,1.4869504750766478,1.5883698746057444,1.3960400945501075,1.384707358062748,1.2468591311094186,1.337519938271868,1.1709426700689067,1.4071374760233186,1.7556674525631897,1.3788266775358813,1.67701665194078,1.2458911549859404,1.434721978482813,1.3487515216437111,1.2911970498962304,1.2989392964684765,1.3855150205971412,1.2259857182005254,1.6118343109738424,1.258840236953892,1.389396192311468,1.3615137231249412,1.164397071267366,1.213711538815731,1.1259511483350206,1.2015714969006417,1.1587728556934573,1.1882320994972568,1.3613431934688545,1.2894476179981316,1.0299422751496539,0.9323655452594095,1.0009972152887607,0.939275957523657,0.8280261599257628,0.752508777964297,0.6877121923683397,0.7982973759080909,0.8107698111944647,0.8733018026411957,0.8065654400274523,1.1756511876045812,0.8751774870127949,0.9330232662929364,0.979578700452112,0.8557413846186764,0.8187133320883117,0.716368059927385,0.7334789435785025,0.6303605413223138,0.7089987844947644,0.8129942855744585,0.8979700733093418,1.0116352889531874,1.189463650251859,1.2946098096596215,1.1235527952017244,1.0804306102030479,0.9427182432112308,0.9269204446601277,0.7277645198812934,0.6513433898007989,0.7038807340638683,0.6903150385617327,0.7936026486425398,0.7766975295195925,0.9335287170307108,0.9479468299811683,1.042317237197355,1.1872787049895255,1.1159676823053237,1.1060502906052039,1.0942069096756106,1.0382375633208116,0.8712676438007559,0.8218725720867625,1.2643884634763702,1.2860831420243828,1.6480941072779351,1.3239366885853565,1.1575843799438372,1.1823875830298674,1.0672943946660387,0.9819801062059039,0.8389112361892972,0.7751839981340553,0.6951132923741106,0.6487042469584268,0.5945626128888348,0.7763952085065459,0.9961222982880813,0.8921037159822993,0.6637884778340764,0.7058839686392273,0.7128401120824523,0.8063166323572565,0.8536543042497227,0.9822075906973502,1.0695768128921235,1.1698623062997155,1.3142892822378551,1.7107006508313687,1.5218173366787842,1.828387234644857,2.379733226780184,1.9465394979654616,1.581711075909344,1.3842927000710088,1.288159130925328,1.277073454865369,1.2443372004273774,1.1553556253106991,1.0541728401770636,0.9596079062901635,1.0363479524221566,1.2003996701502941,1.235820431507083,1.729652188058494,1.134864486300462,1.3629435970282744,1.4410753773133285,1.4071976436778797,1.591386105230786,1.6252156276303185,2.04020806803471,2.4619858573095623,2.1589812269386495,2.314267454894347,1.757157908346036,1.8469108349796746,1.5837907313071253,1.760682698274655,1.879068741183056,1.4113273185127868,1.2952572043016686,1.2328318131965832,1.0587969588038322,1.15669432843554,0.9488305272691882,0.8383544932008257,0.9382678145949352,0.9757051698768662,0.8194502703542852,0.8752787706898949,0.9576608562680677,0.9114175552563274,1.0220142298745312,1.0835171617630743,1.0921184250903568,1.1751818012307236,1.4161907705038685,1.3970599471531733,1.3394282271276905,1.3040037053272322,1.3022044420656014,1.1482601361518223,1.2035039257296418,1.5795347716523591,2.1847175645586643,1.8028849795522088,1.535954188422871,1.4964582778327014,1.5781009843818035,1.505410647899344,1.9793689021486223,1.8748610148107767,1.5783062528520255,1.770352000874199,2.12183647510405,1.9102488732067693,1.7734939910252672,2.18986269031038,2.414323537659372,1.9089684533954796,1.8712989936725326,1.4219574649242457,1.3818533893732716,1.5337614190932805,1.3094748602171882,1.345276975400873,1.3118616377265888,1.2875809803002385,1.1744547079752214,1.1378203734963956,1.0223624758478944,0.9947387754116228,0.8808056507167166,0.8503845812501505,0.839160868358151,0.8575861911669383,0.9475368381676835,0.9266206094405183,1.1356338460375213,1.0645608179899233,1.0673090566558228,1.0424479039396801,1.0837256478127288,1.0864778458423667,1.3696317414182173,1.2069479384189203,1.07719149956383,1.2930782746269502,1.3729592870560452,1.22935591426864,1.2761271773776433,1.6457762160947547,1.5770910035290995,1.309286751017516,1.6632716814047828,1.9149361083341712,1.844796684263892,1.6133664516053001,1.2123621550130217,2.101813819293249,1.5844609833310932,1.500405654080308,1.388731424672539,1.1082478754270373,1.3167859634306534,1.7413135856321498,1.2060043243910172,1.0638245126778125,0.8606801404876332,1.492518883427767,0.8534858836827416,0.9132476348573563,0.6969576706369723,0.9137164362829782,0.7646207427898107,0.8680511597737622,0.63469087033254,0.6299624766834221,0.8702287844822963,0.6672783045449198,0.5678290591777129,0.5307917664691522,0.723317037830965,0.5863968942738382,0.7031309629126727,1.0488490242444646,1.3777071423523635],[1.9410477331910823,1.4014873263605732,0.9881948354502499,0.42434426844589446,0.5158891465007663,0.515495797823337,0.5063454649174782,0.5239420046690557,0.5337177966975263,0.5717834136861085,0.5905159858305361,0.6510845374422353,0.6888995239019831,0.652797699147308,0.7738443007201954,0.7718236134761357,0.8226629857904963,0.9162651977030964,1.067989921759779,1.0591959871593264,1.14006901488661,1.2128264965918834,1.3506257262080543,1.4055196805630341,1.2862159191197895,1.1527737636863151,1.0648381569389724,0.9645273999981595,0.9066291599186126,0.7878432590913499,0.8790058041815256,0.7552133049595078,0.7859949422574024,0.8735137145379517,0.8268032294098441,0.8974499474236194,0.8489635619952444,1.0443894446984086,1.029393204998929,1.1683959583989116,1.1447350822315046,1.1466415024156504,1.2768480284478605,1.7833987153420474,2.234960879674926,2.8304589679286045,3.4537756233320023,2.5326417859925607,2.5218237579504836,3.3991167507142253,3.2675814499073774,3.6850248522145512,2.7392493411192556,2.453026408203233,1.9295263593150385,2.0301354123860316,2.156991671978753,1.8051628490912561,1.673816184425395,2.5353311201509428,1.7815614625275265,1.4445461959800072,1.1961125645140447,1.226706258310509,1.3354869864841286,1.1726675210979494,1.1966737056623147,1.064681143099119,1.1657715300012994,1.0275466915766414,1.278745772410014,1.593610334717828,1.2198760274036773,1.5016050926633617,1.0734207437486594,1.2695824056190594,1.1352938361980804,1.0734004481374404,1.080913967334461,1.1551504011711733,1.0004536917239926,1.3989793094565115,1.069746476734835,1.1627938927939538,1.14818163125976,0.9646333046508327,1.0057566448590627,0.9411731889057778,0.9983292540803286,0.9682094565530266,0.9991073874435921,1.170154145413748,1.1099620359826379,0.8807394783267121,0.8077374351435227,0.8830570177369261,0.8531671278411642,0.7374694035651868,0.6809408717342061,0.6421114740018405,0.7077614642923802,0.7459405335229402,0.7507975861076823,0.712768015773834,1.0533617621723625,0.7921127895304222,0.8367666146582399,0.8803186676185273,0.7791553185887222,0.750619464659652,0.6690886834670027,0.6695028853900106,0.5831444479778762,0.6374708834347635,0.7307844330171227,0.8023658322838974,0.897645601446949,1.104353875933544,1.1394623915815543,0.9851491900043092,0.9618713381231248,0.8510940300242504,0.8519558352079161,0.6594822189214656,0.6017861748501783,0.6391605633262766,0.6576768540133394,0.731078299065867,0.7016854655389672,0.8320129520505598,0.8411446772030798,0.9088176794797028,1.0256708492594515,0.9525882093679747,0.9625979944943369,0.999056519149343,0.9539524371165067,0.8136218800537408,0.7674952103238017,1.137266236688913,1.138797773201568,1.4534848500450792,1.127317257708414,1.0002412605127138,1.0026348595832444,0.9152922404505794,0.85858120687249,0.737606721908137,0.6847433257093,0.6397041635802735,0.6034622019636459,0.5708150522601203,0.7432568013016924,0.9955780919270504,0.8766961065291828,0.620335268405446,0.6450867563336791,0.6440617049031006,0.7128741306666037,0.7512642457626703,0.8653434238628378,0.9179263128293704,1.008061447398257,1.1205703488834409,1.490290444254816,1.3458595256010368,1.6412932619546015,2.205436064930463,1.8493111910909632,1.5269307829854286,1.268136570347895,1.182226531640799,1.1198470157059155,1.0833128906047393,0.9901537601892825,0.9045037663690454,0.8194100785739514,0.8791941191701536,1.018950988678307,1.044550220777543,1.5379881665861592,0.987737977276067,1.1723990202443888,1.2209534075294122,1.1928132568108045,1.346585090514978,1.3788583126518095,1.7440788978702777,2.2295096830884567,1.8983405359198537,2.080505392094567,1.5345375927909617,1.6745581346748601,1.444406960026341,1.5883710218189748,1.7454520334303807,1.2668892948343988,1.176274106735428,1.1528920245946723,0.9855890516494471,1.0673945537992133,0.8694861097535657,0.7819102136477661,0.8798904468979001,0.8985561540949496,0.7748222650660888,0.8254499295521535,0.8975778795558327,0.8527027705118965,0.985073849168239,1.0231040945668228,1.0202417503094872,1.1317337895999975,1.353672426954796,1.3198799443419278,1.257002216294187,1.1956331998807084,1.181011127049786,1.0409994744965594,1.0856379196004518,1.4182072868612061,1.9860317790750022,1.6338724016371047,1.390651017746447,1.3414130089088816,1.3934406028272683,1.338134537038689,1.7616595361212166,1.6803338989114025,1.4319156099619983,1.5954296676253452,1.929585400449366,1.7532460856289163,1.6271292622615723,2.012295957315012,2.2280759148561704,1.7935810598906425,1.765008219159385,1.3375071187632102,1.243223083833918,1.374483383945768,1.1749530360251783,1.2030547581962638,1.173355050542397,1.176615334179678,1.0649533317957414,1.024317545883678,0.9315426348528404,0.9312182852410137,0.8120265084600993,0.7947586535848462,0.8066796641604999,0.8224652855691504,0.8849162046364548,0.8741052385563473,1.1022530151404308,1.002462618618139,0.9876056285022206,0.9517907582582795,0.9783039883085958,0.9817786991479412,1.2424957283871505,1.0844594833553876,0.9844389321026722,1.1716428106333676,1.2401137079577425,1.1201078583015056,1.1767098162994458,1.4986929033715033,1.4513573168324987,1.227832461794121,1.5558640031308402,1.7658592240958455,1.7450621017568146,1.5444060642723858,1.169268760811669,2.0997596097643108,1.6155519749382776,1.4033907161408952,1.2885567727593061,1.0361467547099124,1.2630967089525076,1.6754500267112364,1.13591877098869,1.0009288046789953,0.8871814273226217,1.5038139366842385,0.8226577873053762,0.8661290473839304,0.6550046700380046,0.8915254875024742,0.7565729077650528,0.8554155778710659,0.6363885459040431,0.6297116782469866,0.8591413865991732,0.6642873322642819,0.5764218651811698,0.5272367649261659,0.721151160157513,0.5928717300288483,0.6968090832270957,1.0290515406801106,1.3650872694659906],[1.9455616158735973,1.4159257612404197,0.9279139406766469,0.4333664997386952,0.5209910660079751,0.47587197204198756,0.4342335503731001,0.45153395877450225,0.4677444647113214,0.5140473282226565,0.5385407580922081,0.5765698813045143,0.6219632227785237,0.6351761532549359,0.7412589784280013,0.7268751958514167,0.7890705696074893,0.906153993443099,1.0786319023554023,1.0601246069700798,1.157441950082149,1.2215814497922486,1.3794598284973343,1.4477296511936268,1.3032973723659655,1.1742230356605334,1.062666266893802,0.9551195098571591,0.8752977166770944,0.7294589795052906,0.8541010234861721,0.6878952714543082,0.7270366716633399,0.8204373835083049,0.7640268896229462,0.8533913347053002,0.7750344551128989,1.0057505038425676,0.9904762800366864,1.123734531844393,1.1299514265232964,1.1349670551409108,1.2600616905574276,1.7748604049627679,2.2732656576722987,2.8798461626202,3.4990279665164317,2.519242624570274,2.492544439032508,3.3719997055091575,3.215647294096412,3.6429788621253825,2.686622831193884,2.39345960853604,1.8754391265878585,1.9839584173176732,2.1475730983989094,1.7521858700970039,1.633785249119424,2.5356860088470277,1.7909461748092879,1.440136101915139,1.1894662876027544,1.2564464156881223,1.3491226323735153,1.1677387779736281,1.2239233909337472,1.0718539597251024,1.1974701063500974,1.050586353960434,1.2978489582229347,1.6141616345811847,1.254149985497782,1.5142316618389398,1.0787881650571955,1.2911735751365967,1.1203627203380564,1.0464142963976204,1.0437177461870677,1.10809676604922,0.9285182205687212,1.3357502931026537,0.9744745902877362,1.0569338235032626,1.0713513390809353,0.8833596669171496,0.9542425270610719,0.8660619492277736,0.9575155966467028,0.9168132582511302,0.97043281856545,1.159126272415346,1.0863184583820056,0.8517918570179143,0.7800590606388812,0.8661083392388995,0.8211430084060727,0.679932366558316,0.5979965967950299,0.5511916415566486,0.5974592749755336,0.6602197982139459,0.6259700276891679,0.5812718605449407,0.9099624621344881,0.6684488962058316,0.7180671902048422,0.7678887006602375,0.6737889262907877,0.625768193689042,0.5653944023268346,0.5579346666985939,0.49190381834011676,0.5648922856409346,0.6746373002919603,0.7780690077868003,0.8899673500754545,1.1351702278897433,1.173109782861861,0.9932919806464555,0.97664579284634,0.8570094595327243,0.8760834658439128,0.6487703992259207,0.5531875080448205,0.5699290810970443,0.5619987672784137,0.6204369065054328,0.5842005166993711,0.7046800718593436,0.7166229472985606,0.7855419358023688,0.8991423472879438,0.8137302218347452,0.848761846282161,0.9320596923527791,0.8853054360310684,0.8033165935359865,0.7745869448982252,1.1124018093281738,1.1860531963680825,1.489610386719989,1.1351864728588217,0.985115723019869,0.9753411615306589,0.8739842466845537,0.812094261014877,0.6700604887850573,0.588338981441849,0.5468325249539127,0.49692296933788205,0.4706252751631571,0.655165249006807,0.9355225204290867,0.798280299654796,0.5088086558662508,0.5266079365105695,0.5190322665741831,0.6056498911259043,0.6112138294562224,0.776558749190971,0.8384379013512008,0.9508080797567556,1.0460372239200586,1.411306388600354,1.3044747639865244,1.5771838405266236,2.1729128039132997,1.8221272632920216,1.518889782237174,1.2108019977298912,1.139924058347065,1.038306256669073,0.9894751483602684,0.8878941205693015,0.7844801855460702,0.7285702814001045,0.759233215827467,0.9125437276690598,0.9190611711904494,1.4377830395107747,0.8612312569780209,1.0447177719971985,1.1011978864207104,1.0810713275446315,1.2595350838257418,1.3154802170728213,1.6853603606985317,2.2146834199044263,1.8477090901314435,2.032988539008973,1.4656400709299489,1.6087230955916125,1.3723716805295414,1.4634522852689424,1.6036122565510706,1.1217193109362407,1.030738497602129,1.03493853591159,0.8708147232436487,0.9832246937580111,0.793560070730053,0.7233484548869387,0.862544646788778,0.9077953549348343,0.8509948953955666,0.9321757031354613,1.004752436497222,0.9923762838743879,1.1588947193656862,1.2103663778913938,1.227992823707759,1.343126128629139,1.544210493967082,1.528941655490094,1.4425058033372826,1.4483354646626694,1.3476374800886188,1.1900874269109047,1.2422542190004253,1.4718321742155858,2.1559201354075763,1.6519166655478617,1.486810442614135,1.3787668625502898,1.3539914463376188,1.2917721148047885,1.6501916359746265,1.6390308489048033,1.3857525512256026,1.4886171391755307,1.8261316940990677,1.6865766125261106,1.5366326946940339,1.8865748239861209,2.1764461187429007,1.7107393937556266,1.6739933330135108,1.2528989729479567,1.0986786845581133,1.2406054729806972,1.091550842401753,1.0551589422310999,1.0551982073845436,1.042356724584118,0.9458631326768042,0.9444243705334632,0.854292100711099,0.9011584418616599,0.8280605569475536,0.8622811011755199,0.9155227215839215,0.9536827453386613,1.0079597722074658,1.0578049746739377,1.3135035680100133,1.1932084178363191,1.183277468400506,1.1185489412793292,1.0711685487915659,0.9977273674801505,1.1941276399314522,1.1600449695922674,1.0576606230864107,1.1503862844728128,1.2579641171690628,1.1804770926983095,1.1671627914456573,1.4763087345445667,1.5045890668560802,1.2576033953761885,1.5412450831829498,1.7904895530015776,1.7961278436082893,1.5622273504633641,1.208551782495692,2.0212761179749834,1.5709552981396258,1.4833058474832175,1.4422148779444914,1.1734379887029462,1.4364314646498129,1.7765965115047297,1.2256716831325591,1.0871502295801514,0.9307774062301477,1.5046311694695078,0.86821168371289,0.7806150528324517,0.5846439872415127,0.9512658362611258,0.757403805457154,0.8893761939415633,0.613642082482842,0.6094805229814886,0.9009988401986767,0.6878393583582505,0.5324109297536025,0.5837935354577445,0.7697160529237215,0.6183330209520986,0.7370658049840965,0.9875001898237883,1.2822534803593315],[1.9039610062121182,1.3442575485374857,1.0190686414236434,0.46258465211788113,0.5862387037057057,0.5334082907493739,0.4765522168807689,0.5002236364110865,0.46609278181309943,0.4868661162008686,0.5000801529134646,0.5564229441821826,0.5918291838823212,0.5809583135929763,0.6942183858828292,0.6747091914134155,0.7407083760891227,0.8444582407730604,1.0131592617439278,1.0049121703550823,1.1156519863120642,1.1973967842791107,1.3611723483408853,1.422140222595427,1.281768073949137,1.12431416878592,1.0124341463306568,0.8908145879483708,0.8245179714254673,0.6970572429350075,0.7846123556070912,0.662234884353009,0.6882004682654966,0.7794000025763042,0.7357162629690216,0.8152366691882811,0.7502432658910327,0.958085288224514,0.9520341664465545,1.1207647763636517,1.0963442222044468,1.1029544069614359,1.2444322134693449,1.731561381151105,2.1715071093741507,2.7264764762458515,3.3868801373987196,2.5116496325395166,2.465504018213875,3.3787205226816597,3.325113554592,3.577528027222566,2.6832463637054995,2.4340528166843813,1.9809004356620186,2.0107542802013567,2.1253038985567336,1.812630421765716,1.654517267529506,2.4978386071608893,1.7426888409044778,1.403141625090926,1.1452502709115626,1.2032068995696168,1.311860846698433,1.1232383455370771,1.1665418213867382,1.0064067993618353,1.12386435203769,0.9774327508860222,1.2465421791149627,1.5622903869268572,1.1841540974683753,1.4780611371170729,1.0126492027316056,1.2060043594170078,1.077321395497969,1.0000705117762203,1.0033120224457304,1.0877445937506331,0.9012728635516766,1.3200602445963083,0.9889775167942293,1.0741408197047924,1.0538400371738863,0.8735084789405484,0.9190660397801026,0.8501560348321784,0.919692136722194,0.8820427024889906,0.9169732602853751,1.0848260500638258,1.01111562461818,0.7846410148761753,0.7190870513563533,0.7875797362728005,0.7759419518729546,0.649787665998781,0.5801814281827127,0.5811657167789457,0.6198177371192365,0.6928044368343594,0.6549183886535349,0.6496159717438055,0.9750188245378307,0.7469033932861281,0.8216373008117693,0.8730108690831097,0.8051412546271944,0.728273099756714,0.6691538179140815,0.6265606932350593,0.526486479816957,0.5573204444651713,0.6419974875389637,0.7270431576384472,0.8318489149947086,1.0584066621741652,1.0905222966974313,0.9272842348968738,0.9071449214590763,0.7922524213297827,0.8047575789182391,0.595201754344493,0.521843566726438,0.5521472000918742,0.6462505700712954,0.7117416869919534,0.6886008341709474,0.7945414620940549,0.833688648756759,0.9327138278678568,1.0065901652508078,0.9242986810123784,0.9149649813330917,0.9347181810753947,0.9209908365967581,0.779760207661994,0.720785061068846,1.0119903152141148,1.05465958370974,1.4055626877515262,1.062003955454007,0.9189189107918707,0.918359217683694,0.8198420675580664,0.7689538658664169,0.6441849104128914,0.6018207142356372,0.5517558192019761,0.5624141436858315,0.5086279193716249,0.7169469155978477,0.9721618849271135,0.7979493488018722,0.5414045490327454,0.5456949848074373,0.5678143733832128,0.6228408394908832,0.669099748507979,0.7832219689630948,0.8239947525190562,0.9115858334152661,1.0435278408091517,1.4190054149098403,1.2526074778808127,1.5790142781003647,2.1467251155506304,1.7954004566594044,1.4464323379027446,1.1956737911195665,1.1064506963746474,1.0384184940050791,0.9986102144588724,0.9035561838420949,0.8294107199820618,0.7364693978688736,0.8033742457557187,0.9358132909925175,0.9719141791164659,1.4281045427570518,0.9203572854176203,1.1079260434663674,1.1716138940686578,1.1266880102732064,1.266226860571364,1.3023223940851316,1.7004853291395141,2.1563229107851694,1.8477955765838552,2.036777460919506,1.4824437225418394,1.6350328133441763,1.4043770772357467,1.521240144507931,1.6559659381457923,1.2499302390480045,1.1813445730453558,1.1882173639412037,1.0183611672056048,1.1643015405779558,0.9741470715806151,0.8730271530906879,1.0113543996959744,1.0675516081068916,0.9377346035264174,0.9986115910864607,1.0850875088157081,1.059851893878206,1.14021809591637,1.208881018951188,1.2311679532238409,1.285486443971424,1.5111888044338062,1.4902605425582751,1.4383137946619413,1.4595833075632745,1.424321253185306,1.2860067590853885,1.342012856328069,1.6814923739747905,2.329686411424585,1.8524892499268313,1.6468615797304322,1.5822027414570525,1.6166138222337267,1.542779982347093,1.9487272942328338,1.9005333699282752,1.6138170586478076,1.7316389815158888,2.0671907026994423,1.911307340261397,1.7451891581213055,2.0775067070313544,2.3838818171847134,1.8869448364966472,1.8096496702317146,1.415497257090986,1.2889754893096619,1.4676648091731894,1.3157272309305683,1.2860717034155862,1.2920109909364108,1.236468074998752,1.149355742259712,1.1631253729036866,1.0415919772087001,1.0461900289656028,0.977781281108,0.966418974068051,0.957962807729588,0.9906378468767449,1.0891595123679219,1.0862105279359533,1.2599088916415857,1.2123236013975969,1.238570031164798,1.2051754322220467,1.2246257013917887,1.1850773868845563,1.420283196319296,1.33173733753969,1.201650221093493,1.3594242729471433,1.4577214556549367,1.3411317043600566,1.3473412440577628,1.6882698473607,1.6645654682280715,1.3919084956691115,1.7126088655501528,1.9684922685816908,1.913979687592002,1.6687816780939908,1.2757162756883582,2.07609220755201,1.5811492290376707,1.579306986888166,1.4825236054454054,1.216878497714895,1.4119134750156148,1.8009355173322739,1.2928126928962642,1.1365403745130442,0.8772692870518305,1.5209916184719374,0.9564434025654249,0.9084123183868554,0.6905532439410685,1.0092090593158503,0.8331408086811964,0.9591559049247096,0.7081363224753793,0.6823260546115695,0.9450196487946829,0.7576244610784846,0.6076255026131012,0.6125931689251417,0.8016433517308234,0.657053482998844,0.778632858923942,1.0361520021881028,1.3891233128000484],[1.9274985618775764,1.3563962731518209,1.0698452064390451,0.4942266835747817,0.6159168765672748,0.6014236534739634,0.546951354949557,0.572356601252282,0.5279403148831233,0.5314401305203483,0.5363627868000946,0.6084363522825083,0.6284807073384336,0.5939726389383627,0.7015112970220649,0.6837626465923882,0.7321877541003191,0.8067852122846403,0.9500900198886874,0.955651221868728,1.0549247245232323,1.1454663602838469,1.2983699366696182,1.3547850349638908,1.2258726073045685,1.0637156463345605,0.9639987011626838,0.849677015142328,0.7988584599155113,0.705735941582187,0.7606158770751824,0.6820671790359025,0.7049317776558269,0.770567221890362,0.7366441828071251,0.7963670425910406,0.7522101341976055,0.9250479892041428,0.9136701026478989,1.0888287248853041,1.0510235781486779,1.0541570880935571,1.1886069360503764,1.6319148763541753,2.0374428311198725,2.579807545525802,3.2052853378283763,2.386848524389845,2.362945016066584,3.253760484876934,3.2308896137655276,3.474427053319842,2.593891906508014,2.3849773520682542,1.9948766574817312,1.9295313056487289,2.053057187241959,1.798220691393945,1.6099387561122707,2.3719533969423745,1.6504623251812296,1.3303232198368735,1.082073973582603,1.1154731605770138,1.239159540062896,1.066916894167296,1.1018390786707863,0.9451534069721798,1.0461882724415528,0.9199178004112786,1.1898430869685483,1.4794684443326465,1.10621726705663,1.4118011149138623,0.9529946489177603,1.1350852424465,1.0213063544053482,0.9501762508972293,0.9596052379059116,1.0422936997634578,0.8701900729393846,1.293782386295362,0.9857504220322004,1.057901483372349,1.0225775103807149,0.8594979950403098,0.8846076318486407,0.8385473251939098,0.8832948836974425,0.8589246870733518,0.873956585707269,1.0255598650623443,0.9594845297434719,0.7654853364971675,0.7118848649872422,0.7679961732470464,0.7833547538910902,0.6735389065104159,0.6200125869815623,0.6443767180480185,0.6715217121087966,0.7433237556703006,0.7011522456072617,0.7042580130373866,1.0106474071318983,0.7879406780839419,0.8588964980523512,0.9049784581044843,0.8444266683298648,0.7773432244038728,0.7238386992711401,0.6780686745762795,0.5881843812280478,0.5944672207098431,0.6648946892347263,0.7236474924608525,0.8115916150241737,1.0347079949659288,1.0333592016527622,0.8836165132389168,0.8626205745773988,0.7695614840431237,0.7787225645241898,0.5998889755229011,0.5611857751839576,0.582139742225051,0.7099244216127,0.7622787435634026,0.7343822791517843,0.8294301673401241,0.8606120751576628,0.9508132577509026,1.0108431930734005,0.9405160976480558,0.9242586954017652,0.941583379222369,0.9304995864063366,0.7827340258275122,0.71877143519466,0.9631027903329621,0.9739915921562513,1.312794304072709,0.9873383117719494,0.8763259321952553,0.8756003225908172,0.7965222588670751,0.7611082419756815,0.6658149349255034,0.643277138964657,0.6072386861485538,0.6307303400228282,0.5827858547781998,0.7880303310123937,1.028437472902755,0.8392583619986972,0.611036342527898,0.6108806466420409,0.6339849531363708,0.6703521105485821,0.7188160541510711,0.7979586734357942,0.8242450754325382,0.8883209422518866,1.0217959708724393,1.386662085668575,1.1984460518092221,1.5455811471229175,2.0970701946205947,1.7721199335349684,1.4229736528193904,1.1804895340376866,1.09278073215074,1.0300393218765391,0.9969645353500569,0.9110362712508763,0.8554770554268135,0.757844465240154,0.832400890488541,0.9398845324293128,0.984895224598825,1.4088185861786826,0.9406607465561488,1.106763794882931,1.1546689362954943,1.1085776181608014,1.2250048686125754,1.2535136936891844,1.6277611394767688,2.073126874552485,1.7749609675335578,1.9717447763612965,1.4408988175578694,1.6069208522377676,1.389842201265001,1.51199531089821,1.6600985026129584,1.257809225659482,1.1940010449231833,1.2077820321431636,1.0482134341763496,1.1792419410679456,1.000174632449014,0.9005935855292562,1.018118215517764,1.0630964227136244,0.9216824884594541,0.9649256259993948,1.0444750906276372,1.0109615665008156,1.0720388845595037,1.1288091986035729,1.1377908481335108,1.1883049651901747,1.4250684445032917,1.379067699980043,1.3478948166507085,1.3302209717884357,1.3302062420124119,1.2071956890833646,1.258597058031538,1.6396666632174757,2.199569075516769,1.8153970760521787,1.5697842396220758,1.5223942470507807,1.5852334937034391,1.521576702346338,1.93106456933165,1.858113110184554,1.5930821033316889,1.7254043300568662,2.0477419805157693,1.8841941018601667,1.7350016902873173,2.0652409926334014,2.343160387922185,1.8757121510044208,1.8039967416918081,1.4189949946393319,1.3046527327230841,1.4751450566276794,1.3195631419149718,1.3117027385501734,1.315906070956983,1.2762630502204562,1.184540831089762,1.1890156691792717,1.076623060905695,1.0711121848824898,0.9788160514474343,0.9527195182485225,0.9311405257052872,0.950040247086042,1.0484965727602338,1.0252473275088863,1.1717584783490265,1.1360203285179644,1.1555773788579813,1.1351841221664387,1.1787941821896053,1.1693364631007392,1.4178968418950857,1.280806456475562,1.1621031642494997,1.3465785331806797,1.41951329836432,1.2927015287253498,1.3263976565711249,1.6538156510749666,1.5956427125240689,1.3514807345307513,1.6798340752496328,1.8997778040324251,1.846950197778788,1.6292764195519498,1.2415896771512969,2.1076866204279106,1.5928522787632826,1.5358491867670272,1.4038790930308138,1.1569944389023137,1.3322933341063568,1.7557885542816807,1.2661420890403192,1.1112681867763383,0.8757761074456689,1.5195039023870505,0.9531392350597301,0.9386038950144446,0.7298949560008279,0.9930209460994179,0.8517383284891009,0.9609094317139153,0.7569101547955781,0.7207648987526882,0.9431547639870618,0.7799394178936058,0.6709694318963572,0.6265400693066518,0.8070137260987137,0.6769689364431891,0.7898280205120877,1.0783510686000117,1.467094534560362],[1.9141781253301107,1.351978872287475,0.9933843338893101,0.4671676448745373,0.5918234989259683,0.540763262275653,0.47064603614670464,0.4985015467442932,0.4674991188730965,0.4590002292185126,0.46231272130587675,0.5236741971861997,0.5417277216569001,0.5310726307688252,0.623836269868713,0.5900338048013366,0.649876602237189,0.7242256095684702,0.865722360799475,0.8619727909297851,0.953479366048501,1.051884186225267,1.187353186186747,1.2458230558229704,1.13186829807546,0.9811196654326523,0.8805849191047528,0.7746286604556933,0.7114969116417693,0.6078186642121599,0.6662411189123116,0.5858786557265803,0.619041864093783,0.6503302385447146,0.6216600057483327,0.6830348458683609,0.6405607856373209,0.8354151882224097,0.8095553072065963,0.968808176615124,0.9915425737585849,0.9709960634886382,1.074403238635646,1.4556686074236813,1.9015704355007892,2.4765296207382734,3.0054853310417706,2.1444746119517295,2.1695072720796618,2.99340838695597,2.914005423024872,3.268120166781952,2.358338887008976,2.1724016952213754,1.9107737387534571,1.6841021761979265,1.8686232726242764,1.654205697594004,1.4605941154289126,2.1494209967481734,1.5022516971970983,1.1930637864558995,0.9531933682492317,0.9965146068675218,1.112749727551344,0.950060781724866,1.0218277560729898,0.8562368575544136,0.9730121617416396,0.8397199351800851,1.1030490658941634,1.367525912250262,1.0177563938134586,1.2967984309118648,0.8545433658137458,1.0618540767492912,0.8946886871274449,0.8129865706871834,0.8287893487904076,0.9025633806034024,0.7298457161182395,1.1671753003533203,0.8403709304675129,0.9015752454033442,0.8776786975618178,0.730196558955377,0.7710528620076487,0.7033023684008556,0.7608104285825279,0.7263470158763712,0.751646766951776,0.912710836096243,0.8508980131177994,0.6626656379316345,0.6219319134217053,0.6921940383736396,0.7044290667693276,0.5805793551561619,0.5220368207336648,0.559255268961339,0.5502500128060803,0.6745076330510908,0.5633004110573727,0.6018392396302669,0.865759268865712,0.6933731576250569,0.7403149771933244,0.780840515632915,0.7207073052971581,0.6496308020556674,0.6206420805710219,0.5771081947884054,0.4918434411521081,0.5122029026760796,0.5813802281037513,0.6554723759562143,0.7501881197677405,1.0109593145766278,0.962215315802719,0.8056276440518964,0.8049746805101471,0.7095402870857388,0.7398581811483879,0.5348617297595363,0.47334062487090195,0.5052741885269245,0.6167597736215412,0.645768632744177,0.6242843951132475,0.6978559563245402,0.7239761208815088,0.8044656404895695,0.8677001564228557,0.778926338489831,0.8069324409026836,0.8857986342991632,0.8865957319198785,0.7976733987484833,0.7140705954850386,0.8984855780395523,0.9353141489729827,1.2690926111599894,0.904219244578401,0.8031321700543554,0.7968152779904129,0.7135994226711889,0.6874984968496511,0.5786018668836304,0.5347055982732908,0.5141913992862834,0.539139344383039,0.49935613541034807,0.7219543150594722,0.9536128492278869,0.7737374869566688,0.5206410970510725,0.4923208320027733,0.5316364950770412,0.5484672309073978,0.5821365701408703,0.7000613921584019,0.7123919653427719,0.7932824758348587,0.89745253420256,1.2239544604265868,1.1046833675520307,1.4277460423234367,2.0098599357621967,1.7646908070293166,1.468447061655656,1.1395993917846083,1.051546415301038,0.9265761752734313,0.8774772501074312,0.7772007194676046,0.7120205812624822,0.6521090994479257,0.6959627246572914,0.8004972997236225,0.8158602585205185,1.2440041071722951,0.7957877250132458,0.9260124588163261,0.9758376621580213,0.9449625055573139,1.057734620318444,1.0940879941424757,1.4296974603459591,1.9420392511788462,1.6075269543657715,1.8138885034074113,1.3018516615557663,1.5042818831915041,1.3211553420538176,1.3258242057649992,1.4587136154637974,1.0377282299984059,0.9997294127252948,1.0437796844479943,0.8957632932749475,1.0315136381229297,0.8673711856698981,0.7991078871760556,0.9295036155273044,0.9803147370825253,0.9121803924347532,0.9731174931124514,1.042294147142847,1.027180063079516,1.141945194936748,1.1901497824451481,1.2014997228059048,1.2833082808636194,1.4897262086648138,1.4509861513027262,1.392520163254629,1.3932601272070686,1.322660077842459,1.1969854572301064,1.2403169135922931,1.4717704530490103,2.1558137771304398,1.6512545600119752,1.5275828496465123,1.4211937553275793,1.3870319336212897,1.338547305176118,1.635886925006274,1.6323852435593253,1.4215665280768448,1.4810598934359007,1.7890692661450018,1.6715825611496737,1.529516916336433,1.8287097006035888,2.1266440226535472,1.6803568345424287,1.6455068541551192,1.266759702219049,1.0840225518319462,1.2373029175052088,1.1447799283056264,1.089708612776984,1.118654579912877,1.0921643206360676,1.0050416335946446,1.0143935037860248,0.9249925478057169,0.9758547800482069,0.9096092615372915,0.9244332135909179,0.9504834579131863,0.9843933225953225,1.047150365652062,1.072996514034649,1.2793627103106162,1.1913796665936767,1.1925743709213041,1.1387936353610784,1.1232387990480457,1.0695428837188492,1.2380518103917637,1.1993927566673561,1.1084469999139768,1.205190269200069,1.289919601022237,1.2106469393039445,1.2108334222777897,1.4976796765534912,1.4993136325894554,1.2770357650392514,1.5541988965515474,1.756349157410343,1.760852679894617,1.5542807574332247,1.2044459770136502,2.027466962392382,1.561290553107013,1.4652973931219322,1.4322873802665133,1.17982576278975,1.4119066281382195,1.788151324649352,1.2593114286983602,1.0943294633916405,0.8805511844600487,1.4937467594317477,0.9340320390903445,0.8225944885434618,0.6530358018282377,0.9987692818595859,0.8174132883846533,0.9443709714815194,0.6992978199958446,0.6766454372376401,0.9339171763370373,0.7550345475719451,0.6098921353440171,0.6135764849534026,0.7990545379773991,0.6654735906520185,0.7874441299066587,1.0092157479738175,1.3641970747485896],[1.8883420060765794,1.328443119468917,1.0758767649181993,0.5468591493552347,0.6733858518935358,0.5989390150867987,0.5076729076952127,0.5485638891443276,0.4807626653618787,0.4531618431686897,0.45733189947693875,0.5200630337973914,0.5327710330142544,0.5212643627808096,0.6116798551427388,0.5795998236007708,0.6535288915452246,0.7421354923012832,0.9043594048374269,0.8991319016913722,1.006745607411073,1.0968915726014994,1.256296040430634,1.3252787160963555,1.1895918948946547,1.0286573748661434,0.9164635161295025,0.7950634407237381,0.7234830239902793,0.6102456538430289,0.6725130557266604,0.5828924900441484,0.6195259190662545,0.6501020497417594,0.6279062534754125,0.6974880758072668,0.6574724384632076,0.8563560809957663,0.8389721986364933,1.018555774940789,1.0278438599170476,1.012663962176847,1.1383375230434847,1.5546520526569452,2.0104085626052566,2.5617995345011844,3.165557986418129,2.306192975188922,2.277923531271848,3.1623429802208305,3.1274509480098596,3.353119689001695,2.4711226024882076,2.2671403764791003,1.9592323995938732,1.806144481458383,1.9602784377388696,1.7138879548053672,1.5230929076954185,2.262825802035852,1.5842115702225223,1.2601006252151281,1.002917359258203,1.0582041025133306,1.179358218560438,0.9986050115998547,1.069827275202003,0.8915202282649362,1.0202257756261526,0.8802207111439113,1.1526827149242707,1.4476379486945667,1.0819160994976662,1.3586219348903525,0.8925773102460707,1.1154778927311229,0.9296783251570799,0.8419095713501461,0.8570116784881745,0.9461446164657616,0.7580761450492512,1.1988277639285554,0.8710678355966632,0.9511966796171779,0.9067584746643071,0.7552643424599711,0.7962168274559858,0.7253862506125446,0.7854512605466305,0.7425474088890249,0.7681392708707115,0.9411021300327157,0.8707888702323809,0.6564832763913921,0.6108552708168726,0.6953682510985324,0.7051425754962914,0.5839938908765565,0.5267057396156518,0.58849066646721,0.5591407901115799,0.7175133975213539,0.5948692929195035,0.6735363148132891,0.9134582536634214,0.7700691093165637,0.8575292828320641,0.9051746372523393,0.8599882197669961,0.7657478180141114,0.7117269060263127,0.6345191477037753,0.5300694303216333,0.5233886228314856,0.5758567361477673,0.6581215200663183,0.764512400578607,1.018355656073584,1.0250074646370566,0.8367488742784125,0.8362593770390765,0.7215001841018517,0.7559813173644502,0.5328395357550398,0.4633849725146376,0.5075913011999797,0.6731369646859835,0.702931453915402,0.7143784598475418,0.786585486697784,0.8504858677181398,0.9691665803345992,0.9916569505717436,0.8981148341713643,0.8841998501405214,0.9094333854383794,0.9255333981191058,0.7987345889412208,0.7025827122194294,0.901723606895579,0.9770511369009537,1.3302353885283444,0.9509919685596302,0.8257634152763098,0.819790610692365,0.725248794639778,0.6930298519801475,0.5802883810516666,0.557728335315651,0.52842712482225,0.5958421436510362,0.5540395994219904,0.7942670939940512,0.9871753470570589,0.7808207645146149,0.569242079798718,0.5131632585748053,0.5743928838836676,0.5661408057058058,0.6279474915823418,0.7190762983152558,0.7280603540700109,0.8096479564276782,0.936770999337776,1.2904211540046886,1.1422190638314358,1.4873207509177178,2.070173664088555,1.7873997637220067,1.4455442235088594,1.1591470471036058,1.0649567801387643,0.9633417116110351,0.9136177808882938,0.813524343218072,0.7607417893773638,0.682569360200519,0.7508293474725262,0.8392779868081865,0.8782524653921344,1.283077111641032,0.8553076938238974,1.0149775821498916,1.085352640380878,1.0246065880909958,1.1198276419126876,1.156114765593724,1.5265302562498375,2.00757660343925,1.692717663500163,1.90438783341585,1.3752402074755368,1.5734780875947678,1.3871281897701162,1.4323659237017972,1.5532059615248317,1.1765526760054872,1.1600812459627174,1.2008784162164476,1.0519781991013502,1.2427863144967644,1.0756898831001445,0.9797647405838648,1.1437772275625684,1.2338782631638172,1.1162938294506028,1.1689582072622624,1.2755470624636736,1.2661221483677474,1.3031800147884296,1.380667759570109,1.4224986899178065,1.444503348374463,1.6506055121759005,1.6284945179527723,1.5829553514086856,1.6799123553447388,1.615417306453092,1.4920883629149166,1.5567478319628323,1.8326284170254594,2.577069565240953,1.9894160621726173,1.8578649530780544,1.7627286130607116,1.7381725814661755,1.6547883806760895,1.9552755673707487,1.9823322790744735,1.7107215648533094,1.7474789012357506,2.0667414331040335,1.9520537615366444,1.763754710342201,2.011315814603225,2.3681966285893306,1.8889011218733909,1.782754066183656,1.4562932103373485,1.27915608296958,1.465198171005872,1.4052897084368972,1.32175064070437,1.3788902760675135,1.279311710963938,1.2177974809228973,1.2770391578079827,1.1557338376640012,1.1657835612811505,1.1546675389005954,1.165652432355645,1.1565254778894287,1.1904508654075938,1.2952887694160868,1.3080666525979037,1.4447327787458504,1.4151046851100824,1.4602340205074824,1.4231473892708206,1.429903753958293,1.3598045348217345,1.5371078353794025,1.530439065118664,1.3943755111636886,1.4965873119833244,1.6156901904020802,1.5236550273229799,1.4814987496005143,1.7992874790383737,1.8268772971494285,1.5471986641104023,1.8127168076908535,2.084963086390445,2.042612667875799,1.7921953070758638,1.4399138386257508,2.0703710714884886,1.6305388688197684,1.6972508517520324,1.6102396222347202,1.3696298406207903,1.5293301167728242,1.8597264388773516,1.3909658478354916,1.243018110926455,0.9768722981419705,1.5555526045146792,1.067639802856519,0.9633653608675103,0.7484000528677764,1.1143564275617353,0.9420885168185141,1.0901564826897743,0.8415052921262326,0.7928385115157881,1.0630651716521735,0.9025287109730425,0.7041255873451004,0.7514951037161205,0.9157372991856324,0.7860455135215564,0.8961260193801193,1.067997692369676,1.4347716217171915],[2.0424681454410805,1.5160192881328844,1.4192138140193682,0.8184449586956498,0.9526580248138132,0.9288021873597484,0.8263140179538887,0.8834722799416173,0.7835772282537747,0.7018626651439686,0.6843043029617587,0.7881841315710649,0.7738889760036738,0.6962485160517409,0.7730427429965828,0.7625978866149451,0.7699571524832495,0.8175541469172936,0.9279658145682894,0.9777581991811581,1.0781145622444355,1.193558158193034,1.3391287200747908,1.4066035142553717,1.2901171377535556,1.093157775135006,1.0111317970859075,0.891259482765767,0.850843894319769,0.8317291715424985,0.7848694942987764,0.8489664721649284,0.8551548329683981,0.8444133164918474,0.8486266602327479,0.8552720227331251,0.8965655753848722,0.9910583819654529,0.9845333408176252,1.1946708836000262,1.1599667219181575,1.1210774236252161,1.2491749645300394,1.5646345388970013,1.9311960254628542,2.3999038284423744,2.9873329835388103,2.277204476118595,2.238174145714442,3.092403965719336,3.1730183455903784,3.2515872514793385,2.4767281042048896,2.342036253994953,2.1282019140366093,1.901282367673086,2.033747159791548,1.8565849073221574,1.657324039626291,2.2352976585438435,1.598676215696959,1.312840243139689,1.0840718767685524,1.108175924925288,1.2376619899688517,1.0774840278402484,1.0979918221870386,0.9372851800630301,1.007623984586617,0.8728543355863723,1.1236048290021827,1.3669395070626726,1.0156947429954348,1.3359586873835592,0.915084120546104,1.1107738002992382,0.9998608996936833,0.9438692569057907,0.9727068207881466,1.0801352272702966,0.9654189256304923,1.3562300790178046,1.1537974341777546,1.1921037981729523,1.1089964131877295,0.9898475809844752,0.9651270454035975,0.9686599480295534,0.9248872633915278,0.9077851091977356,0.869759728765629,0.9591142178762497,0.9086815752681697,0.8119888691779862,0.7878239750292638,0.8200108331449292,0.8606869041611881,0.8291298109499764,0.8032273215377811,0.9292739402520003,0.8918457781314683,1.0684694110996018,0.9628999659109727,1.0363323256050077,1.2296847032045066,1.1083734396289475,1.2136155489883436,1.247811588423728,1.2229223563132616,1.1376547366132992,1.0745891032388497,0.9758399810776931,0.8645646814265137,0.8010012314224729,0.7793840118861431,0.7964072823034402,0.8662219095126955,1.0964135663560661,1.0283146371789893,0.8755018786169879,0.8465074630123004,0.7818702701051887,0.7963203963896268,0.6975027294903083,0.7069275536996507,0.7562982681722734,1.0121306566698038,1.030608129298846,1.0433732924136145,1.1195390208887226,1.1809180879408543,1.3174787061282158,1.2859782970892948,1.2259892010335434,1.156644578879342,1.0946628897092898,1.1044734161407932,0.9579226567562851,0.8579638195933926,0.9754493636726774,1.0106024687989128,1.320524797502085,1.0039511129522132,0.9270259372182041,0.9494327066634868,0.8846235949698461,0.8686355295150039,0.8353045588376796,0.8832843950526797,0.8525006588411466,0.9532617676084063,0.9022913762881364,1.1202315844846211,1.3301859415658774,1.0505160586639994,0.9290514069918663,0.8562939102753968,0.9302586882530317,0.9054135546499581,0.9808058609286457,0.9900391059499128,0.9531515698884787,0.9832066162036492,1.1211898489157275,1.439757535434101,1.2677462700079545,1.6027182913619331,2.109488516231537,1.8404723615488423,1.5038173967177006,1.3013217998104154,1.2086455154063587,1.1792638660996895,1.1522570796337677,1.0819333646296416,1.0777457025788253,0.9814578830699277,1.0706253020885617,1.1041425599754242,1.1839609328966796,1.4462790134820542,1.1547261455327715,1.3003975886702825,1.343379269126941,1.2738175188358185,1.3123342121831851,1.3142073255834374,1.647918488089073,2.0202203762922184,1.789195641098553,1.9828374508072504,1.5300073785307824,1.7178868983831557,1.558508395101063,1.6265398824840085,1.7510641991025646,1.4884376771189953,1.4875549068283622,1.5387187111479326,1.4169971875803553,1.6037432314152902,1.4584872699724774,1.3493613725641294,1.493737976023215,1.5787852844871946,1.4093139609645364,1.4285164090765647,1.5435082594667064,1.5235352495738814,1.454762250814955,1.5267037292688665,1.5756518169594844,1.5257558157181816,1.6995866948604752,1.6792923037184957,1.6691754145368773,1.81297338509546,1.810044716102396,1.7239748763994582,1.7822880896339097,2.1636478853731917,2.720055519673444,2.2071901658406077,2.0821724581925993,2.021448559321838,2.07657283596282,2.036154674942892,2.3540542760097316,2.3613936430123528,2.0655894179062875,2.090700492857211,2.3498888079659417,2.2568908879142295,2.090903840458908,2.3179913348243577,2.649920721769154,2.1820561670214236,2.073222896103062,1.7803028237290226,1.6484719248739392,1.834449653389307,1.7770849625329572,1.713432847990573,1.7724528048700168,1.7044519208937061,1.627957409628235,1.6840855120868035,1.5786581100972288,1.559721791258801,1.5171111847413385,1.4963667704306678,1.4397963497977706,1.4342382264399807,1.5819141277885693,1.5403140067753058,1.5683078613291088,1.599452190289521,1.6799827525855688,1.6772290147914066,1.7414572979480343,1.6971919688881931,1.8935622096536822,1.8419448631326882,1.6911389754438002,1.8409409540687263,1.9272361624148244,1.82197130955733,1.814553789757462,2.09319867037056,2.0759454725393285,1.8294950038444338,2.099338318441914,2.3544150223583595,2.2655018213394333,2.0354275866297513,1.6747017998253542,2.2251808060220784,1.7897106647982581,1.9085552173423261,1.7090887092669758,1.5410094734969404,1.5827885887915527,1.8946093931695545,1.5476805350592617,1.445512914435674,1.1694624055599707,1.7893255509162034,1.3230306954347901,1.3123518870952173,1.0728710256356788,1.3636536064136948,1.2710244452444306,1.416202495399716,1.2188801045082323,1.126728490090262,1.3462024599811513,1.2278058525990223,1.0591336128789701,1.037798119015463,1.1911402631541108,1.0975988268337054,1.1730632218274022,1.3619046846370475,1.7698641764535894],[1.9212557338790814,1.3713208884084105,1.2512491017000265,0.6625948792196119,0.7732646173215023,0.767369837249788,0.6689711313189842,0.7111272565607029,0.6583507520233125,0.6032119436135583,0.5942168844686099,0.6775969094813503,0.6727248465795705,0.6271461114801716,0.7006439108103596,0.6860525515264261,0.7115221791487124,0.7660026246385114,0.875007042409651,0.9223801876664343,1.0230916534383934,1.1507930659521461,1.2658544575115118,1.3321945062948166,1.216434499134668,1.046449318935821,0.9478854186029633,0.8298091637676139,0.7726726375968519,0.7258820489512506,0.7056372147566587,0.7262014578112358,0.7465543993574846,0.7520836327210288,0.7449949810330826,0.7698270279339134,0.769583497460474,0.9182114827210867,0.8866236147728896,1.0782296834018927,1.1120967622890277,1.0615999212048053,1.1542308009938207,1.4056929191738459,1.7956908672446714,2.293799368251829,2.780882468932183,2.063550467252724,2.0680015110967314,2.862165545593179,2.89808456942985,3.0722167586681715,2.2770435504710473,2.184068414557326,2.097178312195432,1.7052475552631,1.8353140893336806,1.773322315382847,1.568307534930151,2.0095859984038866,1.4807498174412315,1.2345282867506455,0.9966776386738497,1.0452420285363646,1.1887111881534682,1.0169263141498963,1.0688639876148922,0.8791281511375015,0.9573142527913672,0.8184148717928142,1.0789043525300328,1.299780642564044,0.9561287150814457,1.271438401528025,0.8627796637231252,1.0515751845386485,0.9126731348050203,0.8392442882668386,0.878231015550228,0.9663602269988871,0.821040200988427,1.2001838565169636,0.9605551743107906,1.0001935168010663,0.9331865207213564,0.8435947818644826,0.8548459521029323,0.8406558832581715,0.8286611904133052,0.7895485283594438,0.7792391520212693,0.8751565746771937,0.8035362596512159,0.7305399086228083,0.7095216609525294,0.7609193815761975,0.8072353463809588,0.726883672363599,0.6860520695528375,0.7738389341818173,0.7185257796234271,0.8668638863385147,0.7468822056367974,0.8123494608853371,0.9737944945981593,0.859084538294729,0.9138754123838938,0.9428346178100585,0.9081019319764718,0.835734239980188,0.8088633052695066,0.7538134743524457,0.6847764200628181,0.6492040206823638,0.6873677212114625,0.7294475840688035,0.8207538228422032,1.0733410436595214,0.968928502897136,0.8281425131527467,0.8179860170803096,0.7594298864703347,0.7844991768842715,0.626267217542344,0.592962659763885,0.6175675450669479,0.7995156101388885,0.8139587533815198,0.7973741996842519,0.8625276309641753,0.8931127065993855,0.9834148458115816,1.0222441593491733,0.9497058125190332,0.9486396341416881,0.9668412404708697,0.9811915398706346,0.8999899744612274,0.7996840653888874,0.8810486783679969,0.9309128293256758,1.2839826670453685,0.9347828254967437,0.8597736652711029,0.8717617754391436,0.7881635320373501,0.7746217907029038,0.7069289758447975,0.7032736319346561,0.6874001601875251,0.7419509103813813,0.717881073279783,0.9455983581501183,1.1743497317792915,0.9037859054492426,0.7365397422167563,0.6842154525002603,0.7310320884263908,0.7210404753934965,0.7535468318676557,0.8198617018762847,0.8146125353521291,0.8744934333974863,0.9952358188857533,1.2788526114007588,1.1620830838176075,1.49100491909986,2.0648723876965853,1.8502464666954037,1.5348757378508686,1.2319439629432305,1.1202280425377658,1.0364816797790009,0.9836078910851108,0.9036328122241106,0.8608831620388276,0.8102446042506518,0.8738526506039224,0.9341907112407455,0.9528536949842642,1.2333404027652812,0.9355108667750938,1.058590772923728,1.1245827537478468,1.0751732408335142,1.1479791953434708,1.1725167431822998,1.4756007471263557,1.894246631107635,1.6372881693402714,1.8385476080922365,1.3944148688034066,1.5991360416537053,1.43731161889185,1.4170432886158713,1.5117827978110554,1.1561890035879765,1.12290153768025,1.1739968386708763,1.054967315304935,1.2154853125749125,1.076774129084923,1.0032876184471402,1.126741780540156,1.193283384065044,1.091858112989435,1.1470513222115,1.2137143111505637,1.1892953200438359,1.224021942694448,1.285743791248992,1.3002321746038181,1.3198947590497665,1.5440893760139105,1.4775712376247525,1.4506483612546908,1.4995238082685152,1.4866291246919103,1.3687040724218993,1.4077215471144982,1.7075459023046768,2.3279083866792885,1.8064374838885768,1.6637183126256052,1.585942747903704,1.5901103522640225,1.5574500878943174,1.8343330769902049,1.8233989109008106,1.606251922742804,1.6500635246080793,1.9244133798690786,1.8144696588121467,1.670626165677236,1.9095567213039024,2.209558262346289,1.780006679023422,1.715685441007191,1.4051385905801124,1.2347786599520494,1.4080303697978724,1.35213887036269,1.2922108350198083,1.342410245858837,1.2853067990308613,1.2126801395597573,1.259104635073481,1.1621456697675434,1.1835916274549183,1.1292568660857347,1.1246463311725932,1.1050683243587702,1.1253664034176802,1.2193667501488943,1.206953517811104,1.333311997739411,1.2969916096309941,1.3331954133057509,1.3091212823886347,1.326927981925483,1.2786087578984107,1.4501505241499484,1.4068674348675534,1.2990378463005323,1.4031031354668118,1.4822179790167198,1.3987039114959556,1.3916507210931963,1.6467220857380245,1.640941721263611,1.4285290303597313,1.6813885302774518,1.8824318168043874,1.8621485051372646,1.6725028472811123,1.3347458905973375,2.128167937829077,1.6700352115230903,1.6704695158999727,1.5402944323086158,1.3161108820314564,1.4409928367225509,1.8264180598726663,1.427372251531312,1.2685808606442746,0.94336419751813,1.568008606801866,1.0925533792090558,0.983009830091841,0.8259890934756063,1.1418792977939927,1.011582620288198,1.1434139853114245,0.9762534473330963,0.8931410895077806,1.1293446890071062,1.0061506498469825,0.8652957525567377,0.8474944650916543,1.0156909053491348,0.9115522152770871,1.0270349626623296,1.248569444548496,1.7274955313650777],[1.8721757823618612,1.2867687361519358,1.0498210170756561,0.6223339802112225,0.7953981049489138,0.6628551698514624,0.6043603166994642,0.6466350897167967,0.559585160803044,0.5467814364123338,0.5237152875277092,0.6045012848816635,0.6178567688068368,0.5676405431885607,0.6405914745966238,0.636358590280738,0.7008131193698899,0.7588661295759729,0.8510308502125761,0.897390123140473,0.977544153242371,1.1128573113370748,1.197501780066458,1.2505423963828588,1.1556416113289238,0.9983071534506684,0.9254430019185785,0.815779613563195,0.7755140310002673,0.6999061263948237,0.6838734819790174,0.6916876655205548,0.7196810353074853,0.7260026540312864,0.7352500086273243,0.7641455136735941,0.7748042344378226,0.9363108078253258,0.8934046757611472,1.0730061031277567,1.1100817301666712,1.0379510287310008,1.1185188641443984,1.37179892426464,1.7989508186085035,2.332162370797402,2.7872715151565672,2.0142584800307346,2.043765116847431,2.8112277530249568,2.784352983485644,3.0299487510305676,2.21013908771864,2.108848387954927,2.089961028418388,1.645720809258383,1.7710211373331288,1.7518797513810938,1.555341164421093,1.9167374151000216,1.4301707580714431,1.1868055143339347,0.9613274530354513,1.0079760267058875,1.1451092906315388,0.9930581670703379,1.0460752233989155,0.8626231150947881,0.9562093049346859,0.8157495826558842,1.0554049089038988,1.2913754854179929,0.9560980219932187,1.2504572711170214,0.8408955390377998,1.0775604944615558,0.8826830786009666,0.8028580141920626,0.8611821646900997,0.9455688511023238,0.8310845576674025,1.1838739172645758,0.9671618415267009,1.0188657500183842,0.9436562078480648,0.8709315789722618,0.8649530741163878,0.8379164195659353,0.8117628847828583,0.7673887219704635,0.7614288268292416,0.8624047388785886,0.7893789533363734,0.6680164715528092,0.6487850205456503,0.7038510144090757,0.7336136468969268,0.6758323743152876,0.6465438655018925,0.7435039656960595,0.6953222883279715,0.8886157215030891,0.7579071448632978,0.873903458408346,1.03631377363472,0.964986797284056,1.0160109049823047,1.0954913364269838,1.0348867356521707,0.923106087585654,0.8636592945702084,0.8086247728090987,0.6743446021757382,0.6638115862289866,0.6604041380087508,0.7113014571522203,0.8007337291621539,1.0344722316819077,0.9290644771166285,0.805633290120651,0.8029805174147631,0.7297594039339428,0.7612966806717065,0.5916392437718535,0.5400612458563117,0.6519880615771898,0.7882237002482764,0.8498102717124747,0.9246631371633064,0.9896943698450384,1.053137438387449,1.1635707585627464,1.1873819487685147,1.0973236412499545,1.097177553928237,1.088239482456072,1.1447181869739504,1.0071059564214846,0.8450683702429691,0.9086235826744485,0.9049024236782105,1.2431899191006208,0.9050631609418365,0.8586318336074557,0.884241838684201,0.7897210862091188,0.7731402275827356,0.7073598582550858,0.7156377405372035,0.6662897571012525,0.7412144108991121,0.6683887864385504,0.9199428240878774,1.0218438306810063,0.8587206226706667,0.7039077391562805,0.649114651333916,0.7417218729057524,0.7156510022454322,0.7903147860663298,0.8788169349447247,0.8402498702421022,0.9032683530980823,1.0125075382427196,1.267088333055675,1.1693798296065392,1.519710617398084,2.0769716161816016,1.9224891156396728,1.6176631033489166,1.3366103518381893,1.1891356251016358,1.1076474888379697,1.0478711205228801,0.9563708049509467,0.9091508467767466,0.8459875381475546,0.9207719406722157,0.993806303832548,1.0059175006074585,1.2399499743812534,1.0215922881196935,1.1581768999332256,1.2442807833472298,1.171608688813346,1.2046258938152612,1.1813719030350267,1.486520750861857,1.8957645708181803,1.657527224887644,1.8524043973745723,1.4521539281924916,1.6901577016930462,1.5796110918548703,1.5416356824256687,1.6225344350342799,1.2918431530198382,1.2744149634201825,1.298336541650887,1.1545168223863085,1.3298842797598434,1.1870124538084483,1.0994388449941928,1.2320538132386827,1.3101524685389472,1.2278851810077076,1.2604047157329379,1.3435801942632062,1.3490261961051508,1.3836179922243754,1.429687174037824,1.453808035701565,1.4910918590827273,1.6711421265064603,1.6300005508633633,1.5884933110163932,1.6545732491677083,1.56129612978834,1.4819248846865907,1.521232814770068,1.7337737543212988,2.478284522524132,1.950059578140032,1.8495621985266308,1.7706398360465394,1.7054845595034236,1.6478715599288616,1.8458046044024332,1.870154683022533,1.6807954270670158,1.7184092469284882,1.9935890603230249,1.8953937438601314,1.7497012366564104,1.9359941634023194,2.2383588461261437,1.8417364655308235,1.7908413400800987,1.5132560582909211,1.3412991106363028,1.50036433121415,1.4694981922899106,1.3939425453741607,1.4649990064807574,1.3492942728709214,1.3006709981551483,1.349218655666258,1.2516073581813816,1.2779957508448299,1.2496704595796035,1.258639694856879,1.2489288869208848,1.283115908658399,1.3620510414683356,1.3795407972971176,1.5113629240098208,1.4646128938053324,1.5001207699840569,1.455712119950331,1.45948385504291,1.4108081873835174,1.538721302507187,1.5278244247058697,1.4366108489207303,1.5112430765304001,1.5918740773401923,1.5139784769209008,1.4958560107626717,1.7487227104237055,1.7575015825147966,1.533757443791232,1.7872529563013477,1.9725256086594243,1.943850761268166,1.736205376412483,1.4134941725875279,2.0444056099135195,1.5782255188962688,1.6282445802160945,1.622707545992156,1.4190325828709647,1.594866360787333,1.909302890376997,1.4615111336381092,1.287196048430416,1.03232726269254,1.5734047721364024,1.2265394344690657,1.0747766729005266,0.9355462406481861,1.2359075555391084,1.0346954508994946,1.1426991815992784,0.9250353836576313,0.8572649149676959,1.0823680582346782,0.942835627640332,0.7576148774670751,0.791682193025507,0.9386338649926527,0.8222570479190948,0.9430661726071553,1.1036257224499033,1.5246816110230679],[1.9647655957611099,1.4425266743536707,1.287589163719586,0.8119040503448686,0.8888143696375294,0.8318366454719687,0.7265372185586302,0.7829267815292504,0.7002423051596611,0.6278520381872098,0.6205056482079884,0.7038381377926486,0.6637959749501827,0.6324718419112864,0.6865257861183678,0.670861358788936,0.7299623212475056,0.7843177020594227,0.9070951532207057,0.9542401209162975,1.0572255358366003,1.1390121556002268,1.3131925575938512,1.3972884947277653,1.256523316350021,1.079586319442072,0.9709096159992123,0.8374035970883787,0.7924893984006244,0.72130072824335,0.6991602774423693,0.7321105286634477,0.7514742596821802,0.7457918491207988,0.7608277283668377,0.7883028589728031,0.7860733856235393,0.9213829203508909,0.9198878195736286,1.1193485514934391,1.1207693707139659,1.0567589324293145,1.183937342207637,1.4827498330248146,1.8826818850013392,2.357380420543984,2.883567219511087,2.144347083378175,2.117820414350483,2.9188236495523907,2.9804633468039508,3.0683405008567983,2.297325089269372,2.206940834165857,2.102081383129955,1.7711332561824435,1.9415948411442046,1.766056972080118,1.5704096371087461,2.1267648396905505,1.5434323372480871,1.265529510548039,1.0116969725260945,1.049844924937523,1.186356040771835,1.0410837741106795,1.1021966300454764,0.9032199086012764,1.023240868676471,0.8673125764694503,1.165974000161561,1.3880391579831324,1.0417239415818655,1.3525535629528267,0.8978181016246208,1.0737954597023738,0.9471681531716065,0.8646787932283576,0.8969842967978551,1.0101380734091057,0.8589010497735432,1.209763356143345,1.0440865548811855,1.0563938534562307,0.9965609340339575,0.8982398640988182,0.883443480026094,0.8750846755961482,0.8555732486723708,0.7935005030078777,0.788484480349922,0.8675038630106118,0.801912231999296,0.693375424227648,0.6769745239272114,0.7296303231048872,0.7821314278575113,0.7517475334424459,0.7353223640883609,0.8559594914453302,0.7650457094383685,0.9709074439838367,0.8129060774592323,0.940199341666078,1.0757742739149003,1.0252298625497525,1.1311304640936442,1.1828201152121107,1.137409101732241,1.032021653859905,0.9607089413806084,0.8467846664607287,0.7338807194788498,0.668936824768706,0.6862382029552981,0.7170330196166615,0.8162883615319358,1.1538004552075982,0.9944942474117768,0.842338506925056,0.8341651200336793,0.7608868894541939,0.797495950399845,0.6369351583582309,0.6038079977361333,0.6348786649057525,0.8502412494651923,0.8879138640437423,0.9520589356734234,1.0336363700335403,1.099911350800247,1.258535858855125,1.2545725848726346,1.1710249429043722,1.1059595115221932,1.0591382678426091,1.10173164993131,0.9585848732236706,0.8094485187520084,0.9130552381136882,0.9924104068052344,1.3222304912038736,0.9572599540296668,0.875965133912656,0.8892938140423874,0.7902528974244324,0.7654874438793587,0.7094051704732705,0.7433864262515499,0.7172981221832974,0.8352078507616809,0.8003280402014333,1.0752375081903136,1.2431675751391609,0.9947357042510525,0.8261193069473273,0.7392503874789936,0.8289482703402358,0.7670572678382918,0.8413443504281438,0.878954116322093,0.8473729942781572,0.899428118754405,1.0416776827006666,1.3425765583957319,1.2302161731193906,1.5591206318660218,2.129920613324394,1.90639032064412,1.565344536059329,1.3022174603392986,1.172754512571466,1.1154249529161124,1.064558452797641,0.9761854261536388,0.9558260505304373,0.862087857504611,0.9836905708980266,1.0108566275073136,1.0689524389985106,1.2932566603065145,1.0709983719526737,1.2258559449027322,1.3142632157714342,1.2258032111588826,1.2661358322353504,1.2452344290325215,1.601402736973503,2.0253288564620067,1.7997968020986432,1.9836188599698246,1.5176342426643221,1.7342104286960993,1.595411732972269,1.5969734957132782,1.6925750675793432,1.3707366581882612,1.3908360391841563,1.4032626073302206,1.2659867134051446,1.4928673039228861,1.357189218233727,1.2424529330362821,1.39601634205867,1.5232189075469593,1.4092916324821592,1.443803884629245,1.577881818494644,1.5927125904201676,1.5849748253205949,1.678370393657814,1.7482487621887424,1.7300954542356606,1.9258706677626107,1.9301619669637082,1.857219826856156,2.0055338155283016,1.9244888331631922,1.8053168595438638,1.874913040345661,2.120977260013001,3.0231907932182964,2.2718362969524466,2.162642590949983,2.0685461879667693,2.0251786688860673,1.9467331140246595,2.1651469267543315,2.2366101547795014,1.9626300302172055,1.970893111432837,2.25272636208624,2.147999419460351,1.9602450177662358,2.1678039358463446,2.5114227562658864,2.0334823882002024,1.93227404890129,1.6648754418529226,1.5122338665754875,1.7171172251139635,1.7088531972213454,1.6234730128710704,1.72955667973084,1.5606100521100708,1.503092954860934,1.5902485675671236,1.4707673943499298,1.4452251711750361,1.476713075279072,1.5051753911131291,1.4674493633756354,1.4987540016837784,1.6304021687470442,1.634645097990634,1.7376514802941618,1.7223994179772406,1.8072709674677663,1.7759420339693177,1.780679481181213,1.6937697517015278,1.8265298024206305,1.8740697118564793,1.7148107970591633,1.783575545986541,1.9039518136978053,1.8242956580451557,1.733164478497106,2.0130964523619688,2.06773811917889,1.775984962351061,1.971728318167642,2.272317571274474,2.2150470779957465,1.9455865999838542,1.6374158557731024,2.1370802668613242,1.8195518314076593,1.9882214375490277,1.9083233965134414,1.6598688516430908,1.7672733469973019,2.0673938259092908,1.6496276246506656,1.4798222031331447,1.1345658953475835,1.6212622191654174,1.3126390886145842,1.163950066521303,0.9835523847359636,1.3576742063516973,1.1937169127501916,1.3471855566190933,1.1526769150862994,1.0496127208487345,1.321911280153268,1.2091658092192683,0.9720172659647347,1.0401471699636202,1.1868016794348792,1.0962421220600944,1.1623127163263636,1.3217582920313753,1.7940489541377127],[2.020586568930196,1.5765178567616396,1.579485478886719,1.0632643081865694,1.2032569975519867,1.136132800954665,1.0728897063411182,1.1526108335695662,1.024291124266052,0.9520851127271269,0.9295769645947591,1.039582725939794,1.0253980379317973,0.919837073832184,0.9929509050591666,1.0300630266140156,1.0492046083918427,1.0947360301579545,1.1340833285454,1.2666754502505904,1.3386274835632852,1.4877368405399303,1.5506818643639324,1.5947916735292895,1.5224104469465385,1.329389378438514,1.2868636010662482,1.167629741556917,1.163044893083317,1.1370450802822478,1.0436573877641042,1.1573427967080698,1.1690238558894193,1.1561848259054655,1.1960737697158665,1.170764617055864,1.229878608836371,1.2995939110170143,1.2932133316640675,1.4866781317575417,1.499005383359784,1.4306287913599656,1.4873886284459579,1.6200154124008512,1.9397494372827964,2.3512667899735593,2.794007608544075,2.2405445267269974,2.206085883239698,2.963908137044805,3.0717518793809626,3.07753333428377,2.4660328386492427,2.3992808944782373,2.5470264978549513,2.00328047978623,1.9679273127794041,2.1542093086181078,1.949527865057494,2.022123635620042,1.6806699707799915,1.5193699344645988,1.2959447406377498,1.374262483170976,1.531912793922502,1.360487056588901,1.369630790508335,1.1740752646786061,1.1570852708936734,1.0813713309361996,1.2656085129105772,1.4537340268507377,1.1491469375862635,1.4532286568327273,1.1348039867207924,1.3436370504307789,1.2423906396348203,1.196544790674852,1.25496829256037,1.3398653357809245,1.2901347985768012,1.4839913998958256,1.4438665648524485,1.4758416330132116,1.3472785740066338,1.3135087961657692,1.29875569375265,1.3249637971114285,1.2252089465079379,1.2160068706574074,1.105843406273092,1.0779947915893826,1.0480060932918034,1.0730973477900787,1.0414090318883278,1.043935882243408,1.0955023988970942,1.1423671351173754,1.1426981849869873,1.2422813179030867,1.194392406292101,1.3527706487225932,1.2721614108429447,1.3888176323308445,1.4365261238984388,1.437278378074986,1.514935670272426,1.5476208639702078,1.5073301020234318,1.418693932975229,1.3389144500959889,1.2537182553337083,1.144219588367534,1.0747952196830648,1.033456372090305,1.0460765078678451,1.1269554518796194,1.289559075273359,1.2042533218143923,1.1023451373396522,1.0621144596854555,1.0178390329141984,1.0111961919382344,0.9126758191180785,0.9175605089199335,1.0294026769356717,1.2143589497364689,1.254194836746002,1.3470324569312866,1.4449393465421347,1.4823817279918832,1.6165333190858835,1.6167781763014981,1.5593320827108301,1.493942627138347,1.398644364368306,1.3896276704675288,1.2659467348844353,1.1247837035982742,1.1574940865286583,1.1850580647209021,1.4553436835608995,1.1940479504215797,1.1869511910859198,1.256295963699017,1.1697594260552437,1.1530089804510466,1.1234769229286514,1.1718034720921733,1.1292020345475684,1.2367857585547792,1.180002804186715,1.4295717744393301,1.5153837946057556,1.2900219479509392,1.2321841017983646,1.1452218153354459,1.2489603643893408,1.1851530332872378,1.2709174582288938,1.2728283938905192,1.2365617758050573,1.2753299341039606,1.381478943851683,1.5248340271966403,1.4481411605748566,1.7557286665820475,2.2596704017399434,2.068466918774303,1.768445035154711,1.5834102728853305,1.434327221278484,1.461646710105765,1.4191030328645913,1.3753425331342244,1.3781606254437455,1.2965045396127541,1.405691889142463,1.4276111359584587,1.44443460494311,1.4646399046065388,1.4602333735910922,1.5765159792209262,1.6650761494906026,1.5957074469945018,1.6000177468196524,1.5484897732904825,1.8355218349395268,2.1154306242976597,1.9878353135187528,2.1541602138664104,1.8049915475471812,1.9856639985853377,1.897686764932086,1.889759231223238,1.9749615410584163,1.6697815144826995,1.6809892233327273,1.671756491225387,1.5759130105381265,1.7459814467034998,1.6422363152767734,1.5508950725725608,1.6500611183046234,1.7455425240833367,1.6413982959067699,1.6663216420226377,1.7548318276502517,1.7546626566606307,1.7173595326137248,1.7821796109526238,1.8297018904889473,1.7964951325998515,1.968119653104607,1.9389286329575406,1.9113596631397438,2.0193445887561947,1.983254638551615,1.9054725798130703,1.9446795816515863,2.256838768977006,2.9887654545445668,2.288113939881683,2.182297055552349,2.1375676801601133,2.1571125212347706,2.1356842973108923,2.338146911778959,2.361078361081224,2.1382041912821808,2.1394094323429806,2.3754791993027875,2.2793828924922974,2.1132488128673126,2.3061633769231764,2.5885380706704497,2.147941527742354,2.0996634300146493,1.874655084738322,1.7686961923578108,1.9478067681234055,1.9253982261514284,1.8713667040392286,1.9470505571635197,1.8357373329559052,1.7851097730241918,1.8281638924241184,1.7492457093005427,1.7368507418641355,1.722702548219684,1.7248125123022269,1.6885457253323526,1.690568589829653,1.7868221025216982,1.7737113007389547,1.8418447369907704,1.8256751875224322,1.8985059704879041,1.8852738597327656,1.9190869093433451,1.8627607152729597,1.971138771207575,1.9819958329340226,1.85834612647614,1.9322723646539863,2.0091905962306034,1.9363673038876734,1.8840451928775686,2.107752283765529,2.1178911338312885,1.8899158548595865,2.0817009704477862,2.2969583573592662,2.2242582707755334,2.014198513535048,1.7805848291331663,2.2201380379605014,1.957442290743164,2.068828353465144,1.9889083124389504,1.7901079172112455,1.8547251149114292,2.1290712360770394,1.8330006230490028,1.7106432745341702,1.3789855252747554,1.7899902242716803,1.5604864440168646,1.479011467198036,1.338612030501342,1.611921329714674,1.4888955040591878,1.5971301191875942,1.5155482605394033,1.3661980242067548,1.5633911695193772,1.4871023388635698,1.2911390376768073,1.2961136650467286,1.4200770811017278,1.344274358180701,1.4512770190412534,1.6809463684669164,2.1826591393269315],[1.948294919288975,1.4948851002079975,1.5049591129178215,1.0105651895335201,1.1114767780660657,1.0665136677477969,0.9929504248164026,1.0604526951427438,0.9661552478413683,0.8868540900929925,0.8726528653299374,0.9552556817112328,0.9419592328911678,0.8636634084848107,0.9238274917387156,0.9363423084256884,0.9433863303996752,0.9777594255565257,1.010700418935466,1.128239017028397,1.1969420641125272,1.337429119037649,1.4065429826001137,1.4604230298279466,1.3859390693835552,1.1964284184866538,1.1391683042277663,1.0403972952423888,1.0237408647959956,1.0146980715073575,0.9443863268900992,1.0406182106662138,1.0592161150172161,1.0388157464619925,1.0643299558498096,1.0405447257526073,1.087333327205057,1.1660539330316462,1.1424521401968484,1.3410602880767997,1.3663977766339717,1.2725432633560914,1.342454344953414,1.4795223715775871,1.8183981564825307,2.257344237805722,2.6668008426926244,2.085392330371192,2.089823545328324,2.824784208021161,2.9308821221841628,2.9830263746714984,2.3364556241745675,2.274520502375578,2.430085933608003,1.8630576575457218,1.8855764996337065,2.0032292159209595,1.8169085746172053,1.9363218458198301,1.5796054579584002,1.3985541122740182,1.1648365751065357,1.2198230952906877,1.3798008104497037,1.2208252941051938,1.2452658407528971,1.0533378894922563,1.0510165641754123,0.9790048581751183,1.1930267205940266,1.360245459047745,1.059698804799125,1.350629874339438,1.0180306952298506,1.2074485515779363,1.1101581377498826,1.071340738231882,1.1212953118630915,1.1996081984801426,1.1364167067526851,1.3991278281427106,1.2948675147365438,1.3138789182951418,1.1911257444363639,1.170120507678548,1.1504094594871699,1.181531834997937,1.0920360478767557,1.0788331921930787,0.9845291379749043,0.9540924988774361,0.945080247848304,0.9713973914793884,0.9545830732177826,0.9750021276010279,1.0273508140761565,1.0425716373404328,1.0360593055342666,1.1439841125002237,1.064911924058074,1.2215920301988747,1.1186545410172408,1.2221423779822136,1.270573167864921,1.259196810202736,1.3130264189541319,1.3426777416329323,1.2993009561055335,1.225007373753994,1.1759485224286284,1.1035196138099368,1.0241989184407025,0.9500898379587905,0.9270358773996138,0.9330159414979159,1.0136397805333013,1.2315818227652153,1.0819534403411413,0.9856886508028306,0.9597713943087663,0.9246287799550639,0.929704459062853,0.8332221507467699,0.8382498008467864,0.9081270871358739,1.0923223431430045,1.1136091896321458,1.178499403296173,1.258041743541323,1.2883558693759318,1.399939195965354,1.4345667491331993,1.3676554937897116,1.3198148371514704,1.2632913896785083,1.2825360614201564,1.1547492518816296,0.9918076666469522,1.0382788318428602,1.0615898753334039,1.3491217669340592,1.0673864727400388,1.058014957328996,1.1087130729008803,1.0371015426648527,1.0226515869049972,0.9950198951643906,1.0354640600945706,1.0132453855474504,1.1024968742285486,1.0714393654408485,1.3101599654117935,1.4372875843657642,1.1892766019579053,1.1098527662741569,1.0277182948858536,1.1093149058367606,1.058166312213311,1.1150138724645497,1.1304894706716624,1.0940287311303973,1.1293598845775314,1.2395112560464354,1.4276975194051627,1.3229545285757016,1.6679355720197706,2.1988518073478707,2.0463054756435413,1.722692933091383,1.4811637872189511,1.3336092738916474,1.3277139244192355,1.2781817343104656,1.2235525160542187,1.2169316037109965,1.1520961849620017,1.2558936555377966,1.2685905517806293,1.287224811046674,1.359940481339341,1.2909704751622633,1.396683894490385,1.4812537304357656,1.4134109812910751,1.4195275809612478,1.4039966774010306,1.657380730356815,1.9624131519776715,1.822012404341728,2.0064454975167796,1.647439865836826,1.8596159327169626,1.7615656111688893,1.704503107708887,1.77270901016425,1.4981757017396569,1.4731373368305538,1.4698340694684895,1.370481818155859,1.5336616969613173,1.4336326137853495,1.3580838908007422,1.448490596998696,1.526594785660733,1.448115781434901,1.4881337649774176,1.5449991144052215,1.5370651917433722,1.545415440224147,1.5998942326949843,1.6223380090383772,1.6208438946689612,1.8207078557799348,1.7552976273628873,1.7237948294508871,1.776001586366116,1.7420243007608827,1.657957320193747,1.6806660808989389,1.9386094071407656,2.634539520075995,2.006554848130827,1.9253692334536037,1.8705425195191892,1.8763819329647518,1.8655473316229128,2.0674306876108193,2.075412189051117,1.8830263015116921,1.9052085706510993,2.1337154217945598,2.0359059135965905,1.907234841559521,2.0961575131766166,2.372150736465608,1.9520860837951568,1.913673618926204,1.6691081348053782,1.5585502244889566,1.710770739465359,1.690482798553836,1.6368708652778776,1.71110290185791,1.6173124705621595,1.5621345081340159,1.594302129131836,1.516840507015909,1.5288429109206196,1.4946520433275658,1.4931808284923174,1.4749038535352996,1.4806830939062745,1.5563283457416899,1.5507811195678747,1.643505334286198,1.6041413650879603,1.6514825677818776,1.6356942681371427,1.6588441354905756,1.6226709376830764,1.7193427633030165,1.7081926901565818,1.6154189135213104,1.6923608116084188,1.7423503273674408,1.675396539350109,1.6517441162891504,1.8495837157754624,1.8401511734555005,1.6481420556906292,1.8579363001112508,2.0164503402118803,1.9507533482510568,1.7793887882190143,1.553695484116094,2.1388724535148937,1.835667233802652,1.8986496053047828,1.8487784516156511,1.6274367709035733,1.7231179748934522,2.0384165704978847,1.7388963255198562,1.617285002129923,1.2644233363577269,1.663899143795728,1.4294740776336625,1.2929819701843674,1.1817829589957514,1.4638466968930477,1.3295592481671095,1.442532042787081,1.3734237432701422,1.2439005124080378,1.4547637759504792,1.3735273917211863,1.2018822535203633,1.2035334327921827,1.3291703453096757,1.2540020965118077,1.3721408250287315,1.6066524518517742,2.139991281983471],[1.8712608868917215,1.4091987512085533,1.4694606601490718,0.9282690304884553,1.0249814628367495,1.0161379424870174,0.9433663624535937,0.9975003629864273,0.9197634735160671,0.8652772641730258,0.8523261876398962,0.9213128841943334,0.9282858553193374,0.8528885062350536,0.918836032398365,0.9346584787690444,0.9586672652236414,0.998420188258598,1.052333395084081,1.1413286513934384,1.2095199233420062,1.3632826752253406,1.3913592741576915,1.4413544108479581,1.3820172714338776,1.2137374240788097,1.167703364970026,1.063078123279877,1.0457964896949252,1.0143359413933755,0.9547473677233377,1.0262159945711566,1.0525103411825212,1.0459978155594867,1.0740266073307372,1.0643775182265605,1.0890244299180023,1.1816557162388501,1.150418013719619,1.3251045240700783,1.3841171668507333,1.2911029136367385,1.3336819893072156,1.4272070656448341,1.7358238552784493,2.170845821678129,2.5287335649550475,1.9948974176771446,2.0263681278627055,2.7208455052244527,2.82064405185755,2.9136586363441666,2.2819138765453904,2.2257123030518176,2.4388164841688793,1.82364639010259,1.8528942638041193,1.992955761930608,1.8279977965462235,1.893889948258452,1.5605181956332452,1.4030136355779899,1.1694044531112493,1.2425180030796474,1.3944975907774535,1.2404073227803476,1.2517903219004878,1.0742010728318565,1.063384103279625,1.0054940260034868,1.1910535335069008,1.3296063998268906,1.0695644583600667,1.3422570466246873,1.031127997573196,1.1926083710703919,1.1342225326497843,1.0854768413419515,1.141980447787189,1.2294852566953833,1.133346817414755,1.4022099329053472,1.2617695336265802,1.2876153087936104,1.1588939056500043,1.1623556080328281,1.167891888711282,1.1728057376965315,1.1103317666228465,1.1055539495866027,1.0072278580891396,0.9892455664719413,0.9689494401073476,0.9742074829201489,0.9555129943681298,0.9667166391983738,1.012304715835581,1.0141360128618622,0.9928830830811456,1.08496340069778,1.026285764481814,1.1525493271882412,1.0628595379141028,1.1497348534687897,1.1773001640958483,1.1733786106172617,1.1926622317326983,1.2194754983906104,1.1784759689599944,1.1108810890320224,1.0878811749582253,1.054820416053974,0.9867967835755166,0.9355138094658357,0.9242691935165458,0.9346844532754608,1.03674604589383,1.2249799822276244,1.100770399400592,1.0053368628396555,0.9755847259545048,0.9385247805510835,0.9452946013498839,0.8351323258756219,0.8217495385696909,0.8933702194011978,1.0581824075769568,1.0578323800409855,1.1014378831392861,1.1693405181930379,1.1896104682355422,1.269718365954532,1.3380871865492336,1.266276605386213,1.260919300018619,1.2020254913384631,1.2117725571937594,1.1197185720125904,0.9964952282022675,1.0374317115307852,1.0942525393419091,1.3531359712592022,1.0856962360868412,1.070301983484894,1.1338981536727717,1.0470595421295845,1.0308342479142463,0.992776638847376,1.0093182294807703,0.9741976943655052,1.0373058728011646,1.0087686916348861,1.22185557913558,1.3993143878534262,1.1121178819309951,1.0395196522092551,0.9770457352249937,1.0411921110902282,1.0176452314947901,1.057190911552067,1.0960166838311058,1.0845112424400534,1.1311124213233594,1.2304666395942667,1.39176508979404,1.3319209673702885,1.6448341489574405,2.1694826428376635,2.0565383604331884,1.7212606164387827,1.4665966318662673,1.311405674785451,1.302743952592846,1.2401892336211302,1.1868924535429901,1.1625059005680758,1.118812043751774,1.1935820605796912,1.2308290427969755,1.2289365142052606,1.2957642514347987,1.2203112575902746,1.3219487017044123,1.4132450080859815,1.3614250570457291,1.3812452948679148,1.3797103447471433,1.6045529792880033,1.8870602364305942,1.7732734446152338,1.944096218564775,1.6086286280219715,1.8308446514476198,1.7173784036565483,1.5982322658444925,1.6419207214653455,1.3841610848219923,1.333486723577931,1.3378650582282932,1.251014023338891,1.361628294437752,1.2685784895345644,1.215618343020068,1.2848058883629325,1.3263868704249884,1.2597905377530256,1.316406960792582,1.32423680089937,1.3080396466185413,1.3346826296546521,1.3853688813299307,1.3805943342609037,1.405405732140455,1.6370293574428805,1.5316477278806175,1.5043335458618012,1.5122263425002693,1.5390683864356502,1.4267721866334069,1.4521024887416285,1.7107512733646526,2.2273336527330514,1.7788811299659413,1.6401688845115059,1.5801199577519336,1.606224995654389,1.6190432573110367,1.8369449757663583,1.8061178813384675,1.6502853402158797,1.6948027996729025,1.894381007443858,1.801277693831533,1.707135466261807,1.9172992021684774,2.1290367585535837,1.769577221477985,1.7930710287728544,1.5045788023627764,1.400108547303516,1.5230062779360476,1.471118022804268,1.4466161354231708,1.5066017544823331,1.469534091291685,1.3991559905046766,1.4124743587708948,1.3473810658999519,1.3743910202985343,1.2968566169814966,1.2843212686650805,1.271806360059283,1.2726073428722753,1.3321238574508045,1.3209561022982896,1.424793716240038,1.383857061217773,1.4013287723864558,1.384980350152376,1.4089372463857301,1.3878406414862476,1.5043635056547997,1.4474276827644252,1.3791825011648973,1.4688718688604738,1.4963111258097859,1.431624267229031,1.4381913503618182,1.621011202334172,1.5885811790382542,1.4403759983518944,1.6471962688875645,1.746083672258123,1.7416663843266729,1.6285080477429792,1.424304770075409,2.2897367178953725,1.969051474969164,1.843571835685722,1.611089662502731,1.441010850566695,1.4969782737583575,1.7975701990325625,1.5565985263899937,1.4632786202312622,1.1186722341177464,1.6468253332654368,1.2869153441572847,1.1967295906611835,1.094360797152405,1.3263312631644406,1.2489762975214387,1.3294844298906052,1.2927664328027517,1.1305542887711935,1.3406123245505568,1.253168474729416,1.1073558128918521,1.074091724681023,1.1928010404068914,1.1332177585008187,1.269079861785858,1.5257251329117831,2.1024787548224553],[2.247913345493074,1.9691232518255655,1.933424236151101,1.460763676039799,1.4343541334166363,1.4819828576279925,1.3284350012270412,1.407513927106655,1.3096827418054395,1.1700030872566136,1.1635738872222354,1.2825156413566772,1.1864446667707635,1.075626603739968,1.1291348457960364,1.1486304949704869,1.112072924379531,1.1136920961614099,1.1246246972247693,1.2256743397697278,1.2891316346335782,1.4499389220997925,1.4995945477001227,1.5745598271633485,1.4875528682620183,1.2929934399107972,1.254877586744875,1.14276539430913,1.1597044655740665,1.1842983364767805,1.1235081326138294,1.2500712231677547,1.314094881834637,1.2353190247831263,1.260956342227497,1.209753670434881,1.2685307639789833,1.2878765325441937,1.2659331534009601,1.4525425640808391,1.4923740395437448,1.386218577245024,1.4454390316371628,1.5205172311611692,1.8170697610471616,2.195893641461656,2.5559169695097963,2.0798334008775163,2.052320733872758,2.761089684346839,2.943958559780229,2.8576495441424776,2.35979128298083,2.27656450478207,2.542639872901379,1.9519593865495084,1.9507187833978066,2.09695129132849,1.9527965164711734,1.9658729896342673,1.6702915008537316,1.5206975876566686,1.2983632958715763,1.3582673977842858,1.5009120958440492,1.360675657825743,1.3234470466548882,1.1639633801658642,1.1271033234849002,1.1060031391794756,1.2512823634584174,1.3662577676896914,1.152400485673762,1.3885672751470497,1.1222691116979537,1.2649660692229143,1.2401489993334314,1.2152738270416408,1.2861726982266322,1.3661843834549972,1.3009357880067287,1.5349384039364173,1.4572479013491755,1.476691718693356,1.3014865435274285,1.3178423369013548,1.312610952581304,1.3359073305122369,1.2414829577698652,1.2667223312352764,1.1506819718701857,1.1328731666305527,1.136326811919827,1.186099908165129,1.1770458044418854,1.1989503072533483,1.23211486623862,1.2819651041511657,1.303042781986436,1.4875790258309618,1.3293415780454791,1.5192544746178784,1.3485476466907795,1.482947653760348,1.446853118820516,1.4900792520977562,1.5535786253246764,1.563753494590733,1.578267997952564,1.507292537121225,1.4997272832094775,1.3568996424139785,1.304690417281322,1.150113463036141,1.1131105335950062,1.0490947684742977,1.1187632264610679,1.2698325361399614,1.1602783010802746,1.0868231463507299,1.0456425407751864,1.046528211218293,1.0220688724058928,0.9865047918412021,1.0686180567697385,1.0913910476666182,1.4026167036140789,1.3326375535408461,1.4220907192060395,1.4506061783197766,1.4602250533157708,1.5807143181251582,1.5598551149169593,1.5189329985852282,1.439540240067822,1.329270873614911,1.301464269768839,1.182829113097017,1.0525866570934315,1.1258276383533277,1.1666224036121764,1.4284656410773395,1.154609705078131,1.1290684332268373,1.2198194426498743,1.155185940379608,1.1439273957475597,1.1766195542668334,1.249499446511234,1.2851534063550576,1.4263507966859885,1.4362840389709217,1.678217981728975,1.8873867771604935,1.5443357314214738,1.4625559611341266,1.3395752494394453,1.4144250180666313,1.3002388832264198,1.3354966208027934,1.2618733287467134,1.2288461703150966,1.241370898358003,1.349983561271401,1.494719925555534,1.4429685200214233,1.7438625753103982,2.2876794041281037,2.1122199713903087,1.749102705882736,1.543647421843984,1.391011434001328,1.4285557455159805,1.3895158115287403,1.3599510641466297,1.3861036955130845,1.3250796896713695,1.4339006189898575,1.4152279352511123,1.4424614717920878,1.4313281512378846,1.4381230769966793,1.528613872807367,1.6223122912251475,1.55029929799598,1.554603784671937,1.5015615069460249,1.771353290167429,2.010164375376778,1.9620527626209052,2.144753781785661,1.768845640984369,1.9698165466342716,1.861228839486771,1.7979361635932862,1.8146927321368316,1.6089434862438834,1.6226539165635159,1.6961916367843803,1.662321772526886,1.8686072507952296,1.8265089717598113,1.7503923528819336,1.8932891665019038,1.9997930273465105,1.9271120967504791,2.007490422967737,2.082174478863208,2.062365146345107,2.0375209796305143,2.142822228726546,2.1895476614868534,2.1419380979239686,2.3200859510620355,2.2855090609649773,2.24449815416681,2.3664839880466326,2.392633957190078,2.283342316145567,2.30452166950835,2.4864400631780854,3.0509675982419875,2.461221698139283,2.294303825858116,2.2175522526517706,2.2184197513137156,2.2089974126502097,2.362225325024556,2.338196291229171,2.2012844037969557,2.1897106705327327,2.3499988716461218,2.283242812209605,2.147091964557284,2.2431577365597506,2.5274391159540976,2.1603740263984825,2.02733789307117,1.9170341722126074,1.7847163246653808,1.9737981528195376,2.0186292425945784,1.9588203758481457,2.073861412238128,1.9603563663240582,1.9199527339186748,2.073081083151474,1.9889613859967836,1.948350646357706,1.9690867471016693,1.9994473612843104,1.9657782111744833,1.9929629770028705,2.0766419499706,2.0825095954198027,2.1300609648306317,2.163372260099227,2.2153790426944244,2.199744590932577,2.1837882856177915,2.0933268661308935,2.1765216346898235,2.218460795946842,2.1434665607120325,2.1274744772399257,2.2123971709030466,2.20384590008466,2.1152622796444014,2.21692926283999,2.2674962375436825,2.1755492185352994,2.2252488563466324,2.3125788175000483,2.3194052962664853,2.3096939892817856,2.2440111172694235,2.7925660234724967,2.5006333031437595,2.655113901916855,2.286391455970143,2.166630002090239,2.0843205323020126,2.227972843170745,2.0867902092324493,2.09405316159913,1.7894299185020464,2.0005647411883087,1.7180993663110724,1.6068783580567947,1.4611239052609808,1.8404355975188882,1.7781923523510101,1.9256169330816968,1.9151063623414588,1.6703405383050225,1.9298276734114848,1.870703226711073,1.618768449126515,1.663130236144069,1.80776281930688,1.7535092164926074,1.820301448192683,1.98164192962626,2.5918229493147904],[2.2745377538520013,1.9874982803719603,1.9390009851717585,1.4991995431466527,1.5215735236129668,1.5477014029910554,1.4629070540790154,1.4950116263028062,1.4496992694719357,1.388239042047027,1.3810276080123587,1.4364656629458672,1.4312380292729723,1.368454220442944,1.4197121603926417,1.429056790094356,1.4336714062051341,1.4500348069879743,1.4646608028897492,1.5379525530916305,1.5853357441264215,1.741126733794161,1.727344041401025,1.7653832757170638,1.719480339693186,1.5856654118642532,1.5628795594427531,1.4816842341481447,1.4900321982556863,1.4541225082729952,1.428986733808267,1.4839434363409116,1.5449218166809287,1.4961644197602313,1.5218235168383787,1.4946334618855166,1.511879697513974,1.5982787589362408,1.5742581266116966,1.6758817885480943,1.7441555044818724,1.6671992915158098,1.6647945082458024,1.6850033269184674,1.9193153224814965,2.2443277390442202,2.4954014608582833,2.123135858083703,2.1219576015169452,2.7274409180827983,2.89628043616694,2.8392535574691955,2.4300191318788578,2.348039965831569,2.7413545182769123,2.1076747747786517,2.0217761037473507,2.272462400110792,2.181629834558883,2.048133739252229,1.83935101547465,1.7331246533522293,1.5482292384536298,1.661953103821035,1.7829141912317912,1.6395031531444892,1.6230983503411827,1.4875819007816578,1.4567798454317138,1.4381349896544366,1.5562549046441125,1.6424336877556323,1.4719425232716026,1.6544834531392576,1.4517692750714917,1.5589603480658092,1.5375516095189563,1.5009991467163315,1.5567446341128632,1.6186078475962875,1.5529649367228615,1.7297862815161142,1.6152351176939672,1.6433188774715852,1.4947918502091337,1.5510891210559832,1.5869772321093876,1.5547475407171432,1.5252580579958035,1.5189098725277699,1.45564041861175,1.4418833970187572,1.4307773484105712,1.4618547979881713,1.4502532875255936,1.4583706840577837,1.4747670304067653,1.4614583859500303,1.4545846596491205,1.5653664903466307,1.456486053193715,1.55958032265681,1.461350613876965,1.5321009607274727,1.4914372972848806,1.5236922410102685,1.4871681064943427,1.5060708293856635,1.5186035471792765,1.469950049463321,1.5152918655641574,1.4764252839764942,1.4556715945499137,1.3798504315607525,1.3874119362384667,1.3735037985227871,1.459659606063888,1.5587767500539613,1.491925181689613,1.4293352882611796,1.3898683731293144,1.3903027877911254,1.3858668289174672,1.3251583865142262,1.3415275591982248,1.373650053536345,1.528395363047798,1.4512735770006011,1.503495509096854,1.514391576523717,1.510379241509635,1.5454286830711763,1.6322018068585082,1.5722230263994346,1.5915886756124016,1.483742042951933,1.4346842689349906,1.4211900130100248,1.3746701878195493,1.460817458389139,1.5238442010567106,1.6495518410267194,1.47185798800888,1.4634233010609095,1.552891470932246,1.4700667024766108,1.4541216083232036,1.4362142016827826,1.443926763436121,1.4470968733869811,1.480848071880283,1.5055592125676627,1.6370098624348346,1.8550639408086258,1.579884498444936,1.515096387873532,1.4514112562511068,1.4689033611294262,1.4580458217694585,1.4505167151865623,1.4617047542743669,1.4774312071214903,1.5371879255018408,1.5924451686560714,1.6753500410806659,1.6807937456767195,1.8981925390060568,2.400732985460926,2.2725030186945663,1.9308697183296215,1.7489904196696853,1.607332778714536,1.6298160469005891,1.5715108915673794,1.532734142157807,1.5224049606656376,1.5091723417020069,1.5582229017920362,1.5910232352917926,1.584330396595128,1.5551377784756673,1.552561335660608,1.6425084955741032,1.7551544020651018,1.718102215230025,1.7553840462717838,1.7158091010125873,1.918161728641522,2.058296621163259,2.072191967464322,2.2050295986893502,1.9242171812768825,2.1157959573679426,2.0150400586967923,1.90828875131595,1.8834380176075716,1.6551334971464928,1.540604042580454,1.5375062680064677,1.5302948050596406,1.6169850191782629,1.5896818945351303,1.595255632587326,1.6820966193933695,1.7171021058637632,1.7195644948608573,1.8946598519668025,1.8310180793687472,1.7786327623340294,1.8610092170750174,1.9533692976443822,1.9232009403006656,1.9329933253892293,2.193657402036835,2.0825092981828055,2.0632704269452145,2.078077971086158,2.172391754016486,1.9926856700628688,1.9849049345568253,2.174633935723795,2.591856396557328,2.1732537620952765,1.8781101735862757,1.8191925167912175,1.8470428930614278,1.8528364274196794,2.041566547822501,1.9973273024575013,1.848264546857973,1.8900243688521705,2.078080297678407,1.9610690740466044,1.8716759560163467,2.0709027482171103,2.2675530877926486,1.8963431075009818,1.8990756126326493,1.6650723409137826,1.5904419989065914,1.7340155463524274,1.7061607058262647,1.6946380567334254,1.756349068715964,1.712258306187461,1.6767095872599231,1.7763865417264357,1.7147698190040943,1.7159431605143425,1.6932493980687529,1.7024160855260266,1.7028469413450766,1.7288484264231696,1.7696270951126438,1.7811636450763146,1.8716198660788477,1.8995577081464259,1.8795347340955495,1.8547806431321283,1.8092023872247653,1.7397563122692963,1.8473549252427277,1.8426170458856141,1.8011186106251,1.7741515885851213,1.846649643650908,1.8417337750465916,1.7801238015406686,1.8720250358535058,1.9134803275550467,1.866217221854565,1.8703648532832495,1.9653786198931473,2.0849605859318814,2.1260099512758845,2.193089173989543,2.835447430821349,2.5832848023492248,2.584737336507433,2.1003454890045496,2.021836920598305,1.9506184415234753,2.074750615994436,2.0087070269628127,2.0458772643161436,1.8607830169143318,1.9443222201054189,1.710102154664781,1.5513978556111816,1.511761887467262,1.7764078835937618,1.7151574690562228,1.7817576976346532,1.865949278072939,1.6048656587609145,1.8166521764833572,1.7629768668620822,1.6129350210939035,1.6277557342305533,1.7474535407578522,1.7041220391347327,1.7915326006104448,1.929314606148424,2.651696929094091],[2.001783331400065,1.5556314200514196,1.6097000288113048,0.9826190031052301,1.0497502823418146,1.0709588903789484,0.9331051490072146,0.9818013015640419,0.9022347539489747,0.8564250895047806,0.85020496891289,0.9690765305268216,0.9366066115122392,0.8789799984275904,0.9590717651492161,0.9859414539426733,1.019133524807202,1.1258256923572223,1.258932436366718,1.3455290149207109,1.4640491926445305,1.6203299102497544,1.6977843393561323,1.7805197391583578,1.6708598790091729,1.4795487126203781,1.405090041768873,1.2220996000862956,1.1659563246073192,1.0792425434971742,1.078179684356487,1.0714542939205718,1.0976304978157858,1.1378948797716093,1.1485199182057304,1.1832899364441685,1.1866241242325961,1.366495053466943,1.3969077540580903,1.5840764740098732,1.6514417168483093,1.5532532227792355,1.6526642576072108,1.7461844706333804,2.0371194792160363,2.371852034324337,2.764027314475169,2.2633579943922957,2.2098446461446892,2.8988464491147554,3.0939154800129374,2.9809157619667945,2.4497599828497756,2.3568661412026364,2.3857892632258655,2.1116250290793097,2.140405926660429,2.1167914145754967,2.0221553427016916,2.2622010503218033,1.8700458771822506,1.6922138994337057,1.4664454826535454,1.5157884570420295,1.6726255384668083,1.5010550164234358,1.4685443044655748,1.2555489786380971,1.2301854594456765,1.1262366575955243,1.3258532474173317,1.4667948701187652,1.21662304201562,1.480952687570462,1.2366727096815928,1.410169316250027,1.3059870476524764,1.271848539900922,1.3501750978958096,1.4321818440678193,1.337141419809882,1.6840044971521124,1.3973334935831176,1.4491739475221066,1.385179326007224,1.3218068796100204,1.367701095504943,1.2685535301833872,1.279217885058533,1.1864786802301024,1.1771706076761277,1.2235850673966278,1.1135586435265419,1.0567678840141839,1.0100636379604233,1.0120143392665522,1.0306885737980869,1.0104505469800953,0.9844237663910183,1.0353266612251415,1.0165552369039295,1.123315365794064,1.094520096136336,1.1464881550718085,1.3532258129176327,1.2033484691792806,1.2462266624109788,1.2598349984196684,1.2180497495144185,1.138364394104665,1.1146850551585084,1.0406472180751947,0.9548672763360152,0.9257509846300865,0.9549964618209416,0.9840410880222152,1.1257998285952278,1.309834403727149,1.2960543825220368,1.1443930520917855,1.085244216833536,1.0056132268691733,1.0165998474880478,0.847557007636632,0.8240504856244593,0.8733478889527408,1.051273551746662,1.0504735987875404,1.0980972765845747,1.1948720789270264,1.195056402499636,1.2786729871919862,1.3896304650982305,1.3420363802451387,1.335742637662473,1.2413293928441569,1.186222422458585,1.1550240470358006,1.0695410222787538,1.2050889968885514,1.3510590953420432,1.728902549854297,1.3672164102491,1.2620610024985914,1.3397976653109838,1.1778469532089775,1.1259465025190714,1.0267577849202356,0.9894188469457856,0.9677047444659104,1.0192236706761644,1.014067905048841,1.173071868635667,1.5119456466379422,1.1326141533015062,1.0149915820488873,0.9964010257365347,1.0500478115717236,1.0451869212952831,1.0905278224588537,1.1390752831542246,1.2171239981040922,1.3055968288927577,1.4721444614915982,1.7095919214574398,1.653019489287029,1.9060321950574384,2.45797976158542,2.2158886214170406,1.7957679288164905,1.5939869249190455,1.4484979291034603,1.438357281236459,1.3887708148959685,1.3083517971502805,1.2578105901719265,1.1662515939553306,1.3016685307974547,1.3503445013102235,1.3790526941946186,1.6477525689540249,1.333925640856872,1.4862558404926847,1.6173943048225974,1.557822954631498,1.6581830683985537,1.6331387176619758,1.9690389969063855,2.236480025763903,2.1334187900773256,2.3299590861323973,1.8825804022353334,2.0371766180450175,1.862519192747009,1.8829851051241882,1.8880738359755531,1.5048999146764301,1.4067766951803624,1.4688033463266819,1.3492671786666464,1.5509352247674264,1.4329939541422165,1.3295341308062092,1.4881527482259465,1.58591325630141,1.4345524048221303,1.5151575968228819,1.6160405754708886,1.572986704954108,1.5008010078395466,1.6178905026067234,1.6637452784307,1.5809938227498097,1.752037183322147,1.7711490512905759,1.7610688514225818,1.8623480534108134,2.0004416022736655,1.8598959860222666,1.9103511571356757,2.2774900222146086,2.559903096472695,2.3076913041645613,2.0182217592102756,1.9451841794620108,2.0132967566358353,1.9269097703820912,2.249845206801183,2.1757697887619107,1.9469314614195856,2.026644960328088,2.291492197230469,2.1568241075783456,1.9816734035713612,2.162850126667439,2.463202239825754,2.1151559670459297,1.8961528539482848,1.6972550055885127,1.559813524973318,1.7691951632936718,1.7055577744591448,1.691332693708415,1.7644267988743565,1.6363768552072444,1.5911924164855251,1.7251910728330104,1.6020586185348453,1.5201944301020187,1.5292183578238243,1.532598696249151,1.470376283025224,1.4824913539100264,1.6332560153651425,1.5896728205723412,1.5947336822845228,1.6868095446238882,1.7463110780594415,1.752880127159181,1.7904760845743057,1.7320253240944414,1.9609559961892977,1.8867985296362726,1.748003180527218,1.851453616788664,1.9581471908450838,1.87801493191869,1.8195083646745394,2.068387544880621,2.084417161093329,1.8969303286403638,2.0329289583462553,2.2143206469026007,2.259395775405622,2.1481647206431926,1.969228860022952,2.639762928305365,2.255195536557617,2.337117267338992,1.8706829564499479,1.7116144624668268,1.6016605738262517,1.8876275057972067,1.7251351811783728,1.7334020991525225,1.4747699994076915,1.7429470300423011,1.3247069619769278,1.2622375353621977,1.0993589352144313,1.3385571355879453,1.2493102913246619,1.3733483373199085,1.3633510751159492,1.176675879811412,1.412406165406769,1.3198490241745837,1.1709351547608255,1.2124420077899074,1.3280962993865815,1.2521541315642433,1.3353279208709934,1.5361083640769546,2.2550280367429556],[1.9549576094480416,1.413734043805699,1.3946395570521222,0.8297605958106583,0.8833577349868997,0.9028329455471731,0.7935223339591461,0.8376921348145625,0.7768447253444837,0.767859665626876,0.7608786913421509,0.8434311001428256,0.8570816471593385,0.8112291067592244,0.9007092089725236,0.92080155939103,0.9906802586860469,1.0921011078036935,1.210615385984157,1.290892945836054,1.3984781403448794,1.539636981000221,1.5914731619717761,1.6611577633664654,1.5808108815117474,1.4120241131889006,1.335063247591902,1.17736802506062,1.1144635780497207,0.99560054206431,0.9813655464944504,0.9667888545784052,1.0076226434311892,1.0377714770522928,1.0615128186031568,1.0963638469851067,1.0747890422083155,1.262124664685798,1.2667049145918114,1.4041913008922633,1.5319019410480603,1.4474847823637242,1.4722484306972667,1.5135538896229082,1.7842091855156312,2.1446463634618214,2.409251307997448,1.980908785076503,2.0016449824579747,2.601668630118119,2.7358571735362585,2.811676242489597,2.257679719765568,2.2089450002588324,2.4367997604519687,1.866805197879564,1.8952941608320226,2.0428720625338146,1.8953096508189708,1.9502881607692757,1.672397696982771,1.5406896608536123,1.308960697335854,1.4286798128586848,1.5725365288768425,1.4010894094791202,1.418109469399392,1.2037973116182348,1.2009138597768956,1.0877065762187046,1.288876984420859,1.421824567273397,1.1513350599544316,1.45177873054643,1.150312185809195,1.2895456136431607,1.250554220503233,1.1725917060249325,1.229085665344098,1.3060697515216413,1.1729234533140758,1.4470725016413917,1.2142100230355197,1.2472632627453777,1.1614796817248245,1.1693737526118628,1.24342493353096,1.160660015146595,1.186821135636691,1.1054799206363717,1.0742945869868306,1.0805627376522542,1.01989683042218,0.9836846827759854,0.9378931372716416,0.9280307844798195,0.9500098888147137,0.9185075051286233,0.8717353762928965,0.907059631358671,0.8967838679427222,0.9722704774762155,0.9344021071090147,0.9514187333876984,1.1097433355519375,0.9940267603603472,0.9932722004815298,0.998543734288915,0.9864198343596938,0.9211169323102599,0.9371687359681783,0.888470550219178,0.815007835864468,0.8281391509767078,0.8944883228061635,0.9692249683581905,1.118596016524604,1.377375575838888,1.27949918623312,1.123066134522678,1.0827021075752055,0.9873571534692638,1.006918377491428,0.8152980059877881,0.715576863904791,0.7715290240169771,0.8948184766120104,0.909597799307231,0.9150481835042806,0.9827714496996341,0.960822930056086,0.9960322553930223,1.1225750700697577,1.0731829233796286,1.1316697785246936,1.1058084054179234,1.0301428519481102,1.1094935759011904,1.0709093559191105,1.160676998314821,1.3575624475183286,1.5589933933601672,1.2848733295773997,1.216411174813979,1.271706324490627,1.1147656952161538,1.077955448244935,0.9403974289971586,0.878517441368633,0.8376997373875577,0.8600449006345777,0.8602803656669957,1.0273459765315955,1.3635067848750313,0.9806649302805962,0.8606200438386651,0.8566197979452008,0.8833151703907874,0.9184266435997892,0.9322251128866545,1.030078172923869,1.095324592600078,1.2118630174916984,1.3101837500794873,1.4706136035159605,1.4644677044551098,1.686979054926553,2.2068188622736398,2.0903378465296645,1.7993496175826642,1.486123899824516,1.3530019117050627,1.2968466455759533,1.2203316388293557,1.1483958858422232,1.0830236173474541,1.0518295691646555,1.1185803916959056,1.194577786753427,1.174846515145647,1.3243492423033483,1.1271604616201383,1.2141378825597313,1.3010517953373295,1.3134517618676544,1.4126594956745622,1.441227519031678,1.6497349549818816,1.9212333291215422,1.8113304200246507,1.9347435488711369,1.619122617814954,1.7823735500484819,1.6390934693140728,1.4795583651355446,1.4937430516399157,1.1855701873999533,1.1155839860193124,1.2709974894530693,1.1459878149257732,1.3430176399084497,1.211804229404,1.1364823706843528,1.3214079703583352,1.3759894191679678,1.2354904092429553,1.326062599446552,1.4331532120486494,1.3484494905003659,1.3179085718833286,1.4302424527674065,1.446585081238832,1.3806669779147507,1.573909902640657,1.6298855343657181,1.6504788279401996,1.6090640748491851,1.757481508560045,1.6354404164424898,1.6647220607272195,1.9523969310994729,2.304905678068306,2.084726020279184,1.649197067532196,1.6107283814093722,1.6566809912731721,1.5853852018211736,1.864114169817908,1.8219727996992503,1.6475757981284198,1.6846767948314374,1.9143917343345958,1.8281618601661882,1.6915523074644068,1.8991029252816998,2.083054032499136,1.8696261814993391,1.684795483368578,1.5104128537190342,1.285093239496004,1.4472525766406215,1.4067603324265652,1.389610508010328,1.4552822354375379,1.389273669591075,1.336794821760963,1.4481784485915299,1.3295008201733056,1.2910936951963634,1.2887871178891244,1.280431539076579,1.232086251377001,1.2647308007274216,1.38997350044982,1.3362784986550937,1.377979231996014,1.4539180178697073,1.4842518982518778,1.4936000172443975,1.5156188980785235,1.457947434214064,1.7030391673919423,1.6109506619937195,1.517181678244317,1.5942833423520197,1.691159229835058,1.6438468954818004,1.6166934940234914,1.795365677156905,1.8165336077769643,1.7292842117062777,1.8211632346228814,1.9205514423465015,2.0087109294041636,1.9794561009626583,1.89353940709533,2.6091232092690544,2.3392953252702,2.144609044916192,1.6838246923659088,1.5600703215268072,1.4613396966397048,1.8034613603863838,1.6604459932233424,1.6336077810717564,1.5512292917161141,1.693422925328538,1.1701728967358758,1.0998201024137977,0.9235238979933192,1.1511787251390082,1.0547091424599278,1.1569522098530902,1.1546862526191877,0.9908239999122879,1.1645000960225627,1.072841179672179,0.9879714420813631,1.074514558567221,1.169292332841687,1.0387976255607672,1.082420470719527,1.3468340043221114,2.1009468313063318],[1.8974293151397297,1.3143308330550334,1.2701451781492163,0.6902557325827318,0.7380829093739669,0.7612018495797828,0.6720177151969419,0.6919903999491365,0.6535432299186766,0.6318233586437363,0.6269439645772138,0.6814074363630144,0.6877643253273131,0.662990556105796,0.7429286166600633,0.730663076183009,0.7940493843222713,0.8687637193862918,0.9718814268780515,1.0181126404502505,1.1142183194879216,1.2405342422731005,1.3070668923075952,1.3656172254075805,1.280071683803472,1.1243539868475259,1.0391531748687213,0.9144904382704357,0.8695539906071552,0.76466706439963,0.7665266175908546,0.7412834004041703,0.7865950767483261,0.7977834523355937,0.8050753442173648,0.8452092151485183,0.8143417782393426,0.9901982622257817,0.9571172791101449,1.106547908514616,1.1969205881034082,1.1418156120946714,1.186022157058762,1.329907483190416,1.648503330344145,2.1109118481420546,2.475162434979146,1.8893951731340057,1.9517578114828595,2.640499355594711,2.6909063584635113,2.9568460280747266,2.1965786995050225,2.131076010070914,2.165758592717656,1.6552370331298871,1.7791061614169223,1.8297178085671744,1.6331523535732648,1.8748988396898942,1.4663644338730049,1.2753828244292214,1.0405930207448122,1.1222915202300734,1.263788478089997,1.106947012508062,1.1664847201871444,0.9682137590829449,1.0074479788926265,0.9104766961750262,1.1547698478198274,1.332735821446182,1.0154192068688317,1.3136173325323608,0.9382822351388617,1.0958359803281825,1.0025555353160678,0.9260046625572927,0.9590717789384637,1.0433264634446655,0.8848658565950223,1.2332733303998187,0.9605094434144066,0.9712126861017593,0.9075326126331624,0.8773547883288201,0.9412087143178608,0.8864024965346351,0.9149573411551172,0.8664489204439433,0.8500627085903265,0.9089640649049269,0.8594152971469888,0.7824996219156718,0.7447009791847774,0.7776116709023272,0.814528164243775,0.7462269053699253,0.6958316922251342,0.7357855401552095,0.7122723119649029,0.7944446823064688,0.7113125220493995,0.7383763283934391,0.9449156698792291,0.7959215095652896,0.7976971950865782,0.831726088824125,0.8069077754986042,0.757411525264133,0.7685418189414526,0.7072533163415385,0.6592231387086,0.6406689217019635,0.7237812010070267,0.7792823346913729,0.8978888190074794,1.1589040468334335,1.0478723871267936,0.9186450688819231,0.9098657646406081,0.827740208509773,0.8545671052070486,0.6639402565992657,0.5935780911620397,0.6046679911691926,0.7721839370188951,0.7716874146600932,0.7288719779494255,0.780697723107718,0.7697332244991743,0.8269428893504949,0.9092068071335742,0.8465605775186366,0.8684890103347636,0.9208441420154788,0.8823437086106377,0.8869985474948895,0.8450395451634948,0.8895321262003544,1.021115958731907,1.2713323666178338,0.9934218465995304,0.9328651472654519,0.9538580247293013,0.8413942099436362,0.8196058027850243,0.7112928838175802,0.6665121243724987,0.6687291543397629,0.6949630549466992,0.6950976290861716,0.876797150166392,1.195550183852913,0.860035665363668,0.690826464997873,0.6784016263831241,0.698793355124397,0.708456345000273,0.7323966241549233,0.8069064849318789,0.8289460581282778,0.9095921659676939,1.019327558940597,1.2452388610504113,1.1535122859665985,1.4451545705539532,1.9759773289197913,1.823822323117551,1.5647400056373628,1.2105844212647798,1.1170724209430132,1.025839095944194,0.9659807327370742,0.8934381358475388,0.8407597514322108,0.7895318363363536,0.8499296047988668,0.9338999820018945,0.928256351788197,1.1994326695736401,0.8979140380485564,0.9883014949271801,1.0359545868660474,1.0200072310280581,1.1178144977092468,1.1655045756293625,1.4076811114207881,1.7974299807910346,1.5831863635859191,1.7508152132125658,1.3556674982577306,1.5691723770382862,1.3974552850956092,1.3043167414199939,1.4373951116786832,1.0651950052217978,1.0336657917578154,1.134261394456617,1.0009777479268374,1.134774757929335,0.9879490938760193,0.9218436383060972,1.0469305347502855,1.0745630314523111,0.9578916747096159,1.0196615456593225,1.0947953229820833,1.0260999801964827,1.062574809549686,1.1236124786923363,1.1172277222071927,1.1324063946666536,1.3440302115294658,1.3469317928055782,1.347643874236334,1.242986552228578,1.3451026826443344,1.2286676840585957,1.262781986796783,1.5609901563094053,1.9800613290515487,1.7251319279032413,1.3822070816834455,1.3477547915171608,1.3925419083235837,1.347702047793433,1.668328993880354,1.6054233821998156,1.4267008415280544,1.5063393285497935,1.7631573039454427,1.6473627193143106,1.5320944436083073,1.830576930250392,1.9941086963594787,1.699637963120819,1.6356751236516236,1.3351335173137016,1.1552162860851287,1.286710248985272,1.1925972357200427,1.2005672539727696,1.2314409716799752,1.21856505565799,1.1303033167820924,1.174793733842141,1.0790032288995737,1.070018409579509,1.00058240418306,0.9844380281876489,0.964113142319734,0.9795510953466156,1.0727509037781668,1.0246733659449858,1.1370299721203756,1.1279637551542652,1.1322726462444264,1.1281809162271896,1.1656767266815462,1.1474090287130598,1.382048429703519,1.2484482590513204,1.169601411672106,1.2901944366634837,1.350437719311908,1.2765190718817458,1.2973657212595089,1.5163526438560835,1.4872580089804124,1.3713485131448866,1.5599043791497191,1.6733081766903475,1.7195896729615887,1.6412878105747786,1.4551135141873655,2.3224319113705802,2.0234124611102766,1.7083449091421974,1.3853565613735621,1.2241192623756885,1.277096638403635,1.6926227325730068,1.388328140148838,1.2654327808421075,1.1294187599846421,1.574960050818091,0.9794861708836295,0.9411892511261869,0.764403759477126,1.008476066785383,0.8927653532459103,0.9827078634418698,0.9016787694811678,0.8333241224378771,1.0167277737340674,0.9012490801342259,0.8316879218141663,0.8368637489179709,0.9585635727644606,0.8387450127398665,0.9388089320038793,1.250529793907277,1.8157381569716708],[1.9659494443967387,1.4220699399648973,1.3289873821197227,0.8163878484473813,0.8174190485375069,0.841862656852462,0.7107626078456261,0.7097804678841139,0.6667904236914868,0.6175833735004949,0.6133574089658204,0.6777179543811709,0.6465137238951688,0.6425685660622598,0.720993495912939,0.6951635381914174,0.7619125633261471,0.8504488267185262,0.9846096736631421,0.9947908148646302,1.112800269619042,1.2315085288167231,1.2989453805963795,1.3671971235029499,1.2710666681877238,1.143558370781263,1.0224304561437227,0.8964558716198915,0.8286817570031169,0.6941577174181334,0.7387008813210679,0.6684335618884099,0.7200040425457986,0.7349700593601652,0.7267563604531518,0.7814411575242759,0.7249580735409201,0.9158574201418059,0.873672705446519,0.9872157793629627,1.1364692013624083,1.0960125375063345,1.1074435318360256,1.2330133680562956,1.5483888880811203,2.04160571498202,2.3381437611797633,1.755562910810922,1.874811680346456,2.5065161634970523,2.490463357860394,2.919142420390885,2.1006036551447624,2.0365317558079283,2.070835221721401,1.5435239415011126,1.7041043758325505,1.7439521037586685,1.5581072175918553,1.7987944542234524,1.390486645937751,1.2257322408465086,0.9848211032174785,1.098494450426851,1.231281765220349,1.0671291136199483,1.1666500160533961,0.9535024815300129,1.014650455821305,0.9210438313145881,1.1699090331626993,1.3457968504790716,1.0242657111424192,1.303044715852907,0.9219235067575363,1.0653957374952763,0.9587223355549135,0.8631701604437534,0.8888467166922523,0.9580728838924387,0.7863397793267289,1.1481532115619513,0.8659348895262757,0.8878352953668524,0.8165250883930708,0.7622899706804838,0.853095820458322,0.792336084814333,0.8445242746734588,0.7939156304318753,0.8022554438212642,0.8673559520491704,0.8297333525411795,0.7489056489313236,0.7145230599889685,0.7646652426400138,0.806912158144356,0.7020764781141575,0.6545081123548772,0.6848701640564754,0.6537752495946172,0.7486586257894003,0.6407266023952947,0.6838974071851862,0.9605266153796957,0.786712343224035,0.8597638117395884,0.9167277112832996,0.9257644030081406,0.8629811621774217,0.8481644364577544,0.6879254565133766,0.6356422868845213,0.5665687510021066,0.6787419629622801,0.7551728743145394,0.9019317877816299,1.2000068577684677,1.101956198928377,0.9372925830875449,0.9510917767979542,0.8479762768730598,0.8981359306801285,0.6549673245148632,0.5776193012852768,0.5489347595319999,0.8382768068720319,0.7823933141536107,0.7828375730190208,0.8019615089968893,0.8664371046267338,0.9103715242780226,0.9188564148674253,0.8298301850466878,0.8109035742522314,0.8644778678399158,0.8673035382551262,0.7567654559864714,0.8049730001317831,0.8316903295815802,1.073882100307077,1.2605523032655328,0.995035965889561,0.9076119373522805,0.9053147219383951,0.7781714908665595,0.7582732829656561,0.6319684649086685,0.5911552556085903,0.636155611265286,0.6968513709827343,0.7106728210570338,0.8876522845584472,1.2243296425372012,0.8947569823171984,0.6757065835774202,0.6587134017564579,0.6773706197481703,0.643901190927236,0.6877104850105749,0.7139974836522694,0.7329109739211163,0.8169978046402532,0.9033120695833384,1.1336293751296296,1.0548024439199915,1.3352939193103681,1.8104816246310969,1.71165466564512,1.5317546885228637,1.122422244599734,1.0271495894335616,0.9208099908928082,0.8670674738737925,0.7927107513566848,0.75145611786671,0.6847572087067086,0.7440938976673062,0.8271664873085597,0.8312941796190995,1.1755644711225945,0.830820031353584,0.9328659288764861,0.9354450633576399,0.9006379985896675,0.9966206514305741,1.0475437730501986,1.2791287748135312,1.7098497285567589,1.4638745052186433,1.632153138107935,1.2549898050420192,1.503181877703279,1.3421459571468077,1.2825827033511787,1.5065843063328492,1.1801940425873096,1.217280139946763,1.3473615174693403,1.199735727941306,1.306785155529602,1.1606732111954583,1.106960466169573,1.2447804738674315,1.245692103557345,1.1274496249986374,1.184846629253116,1.2656738603077964,1.1827406657484725,1.1948617269709456,1.2458190971226435,1.2444120427660958,1.2373719820614242,1.389060789945922,1.4376602023648979,1.4460394580183022,1.3511249074601817,1.417339767593854,1.3528885591375777,1.3827723912216103,1.6058409136515046,2.0000998472205405,1.8049066051200042,1.4134666100223516,1.4149451676161189,1.4628525805788761,1.4080608628987556,1.71819602658212,1.6519918868717252,1.4979344401215056,1.5893224766182052,1.8028243635273073,1.6878246237690144,1.602278428568696,1.8732404387444623,1.927840324834866,1.7620225913123022,1.685104263290094,1.4918523163342414,1.3239933199507157,1.400908960203735,1.309364835085156,1.332010105198285,1.3631291692347942,1.3477630667644747,1.2679027987214635,1.3059334664131992,1.214913144569262,1.17702417460013,1.156544647151733,1.1325136816015053,1.1019909240958097,1.1309779790794243,1.222165505725589,1.1494616014487478,1.241738217505874,1.2503022693993127,1.2558891749394183,1.2665912498907657,1.3005658648085405,1.2986052316903474,1.5292168200425438,1.3724025420478134,1.3235350333041476,1.4256035573062433,1.4596415781570455,1.406294659552954,1.4413091593743592,1.5812531671989871,1.5554042946796052,1.5028897391122333,1.636531701257099,1.709341679491236,1.7391681621663537,1.7025469113475706,1.612776416177431,2.322585161579273,2.148037023762096,1.7249290055886282,1.4233384487196974,1.3474144868734184,1.364654191382237,1.701785096154931,1.458032966464537,1.3461949970839941,1.3846882704505823,1.713808234627361,1.113042516388749,1.1610760984432047,0.9049387695786336,1.0965260585078374,1.0066563015861791,1.089655027062576,0.9819660957798048,0.937874951004317,1.0990156161037719,0.9825864385394606,0.9068484874822333,0.9656009703965898,1.0491813017103901,0.9216033644348854,0.9674883338948315,1.280091394927869,1.8271673878693053],[2.1182167116820434,1.5961660118643721,1.4978032383860773,1.0493694613849078,1.0229936135988438,1.0396096883507804,0.9004587647597517,0.9107005904991362,0.8979916601786753,0.9075492764901811,0.9029154063387584,0.9462326139315839,0.9897590799840618,0.9869323597444697,1.069239734421442,1.081977091913356,1.1795105903926506,1.2917043386499292,1.4357146182444622,1.4900649748735326,1.5961367564501918,1.7477582134436052,1.760456397280258,1.8294926815855448,1.7686024679174992,1.6361274239783856,1.5570583778311435,1.4027397315975072,1.311155889922728,1.151716438875933,1.1487588804986908,1.0768797433990664,1.11193251480119,1.1656948806716116,1.1989446950302378,1.259570249474559,1.1985018972243304,1.413086511174875,1.418354249416809,1.4945618152207547,1.6993926829949144,1.6306291928300525,1.5950586438541836,1.6108818569173067,1.8349836066740777,2.16716865731653,2.3150597617050344,1.9628244758185516,2.0456645444827477,2.480209815527198,2.528501184125489,2.7386423517137732,2.2107826748661954,2.2010285326215517,2.550325993922237,1.877927142993374,1.9043862836039518,2.1503282244993907,2.0151421498667568,1.858705221448297,1.7324961391228217,1.6488607189502995,1.4389413395649002,1.6057213681638869,1.7394660989786357,1.5592733037027982,1.6022264514387705,1.3939618606570938,1.4032297614051805,1.2930217313801033,1.44845752284355,1.5413791220096285,1.3273536031176447,1.6025415893433803,1.3233173109261338,1.448196081564187,1.4054494098276822,1.3095894286635341,1.3559247270713644,1.435362203882269,1.2914917017301066,1.5080314306494094,1.2701367109207051,1.3103205347552227,1.2465125881655206,1.279864303852301,1.3993206179359527,1.2781397043705771,1.3420218526102248,1.2503339063499275,1.2200718471518803,1.19740021214956,1.1602729821835704,1.1303417459593266,1.0929165581700087,1.0797183855446244,1.1114841417446573,1.038708393779775,0.9672170902138413,0.9612409054894981,0.949540868706314,0.9792350120063669,0.9586452727598207,0.9177063992097694,1.0212394534911515,0.9166200012474341,0.8628388997940957,0.8757502572758565,0.8852365645932717,0.855594279557852,0.9391014767015626,0.9045297335928436,0.8955744810332558,0.9628408962032423,1.0577578225262243,1.1776840651044966,1.3467550249654652,1.6198353086505721,1.5123873098692058,1.3373130514467237,1.3009915233090725,1.1938590068656927,1.2437834236062544,1.023029813712267,0.8628802455055025,0.9162442714242667,0.9849217075167047,0.941777145889833,0.8714543411848815,0.8863666307454444,0.8126127206226333,0.8246130505537305,1.0028308395984722,0.942975130178853,1.1047644580288996,1.176169568047581,1.1119665293555119,1.3193320257654608,1.3263795098178814,1.4101170185581873,1.66402030193658,1.7503365951690237,1.5296954547398385,1.4613202650895531,1.4982130776115048,1.3027678622868304,1.268628431114815,1.074913400550552,0.9545771901009293,0.9185269836958573,0.8931010770452704,0.9237302229259743,1.07307349035962,1.4187983525984247,1.0301045803124493,0.9014735511131952,0.9179034773948204,0.905002741450637,0.9682707397339044,0.9344498811064281,1.0988142763399391,1.2039331087924525,1.3917637779011869,1.4101696574791376,1.506927159209738,1.6165396041868558,1.6943135802058118,2.076276984741402,2.061195191610593,1.9557166343836652,1.6042438644350099,1.5052635589303391,1.3848729857221045,1.2607587342994537,1.1931761798765408,1.0730378526764939,1.1010426033101053,1.0982016445019382,1.2175688347321154,1.1301526304657685,1.2296578066739405,1.0673271413735843,1.1163212013162909,1.2016832768503087,1.291702926736454,1.4457329955876623,1.5366222712071862,1.6545865187981588,1.8922738049431753,1.809729963134933,1.866048907869413,1.626676316202388,1.7464436383322655,1.5902033877809694,1.2722090733926756,1.288470075371662,1.0277931450064033,1.0096433178114723,1.2679364000896287,1.108255353325939,1.32583802892132,1.1854473115308066,1.1753334844929961,1.4390140497594404,1.4417748751300328,1.3509951217326481,1.5297738009875204,1.6194126204275152,1.474078553052192,1.5187825224854514,1.6482814906080394,1.6388399705249557,1.5668539006212108,1.7508468696026822,1.8617027504845323,1.8942296870134139,1.788095240808103,1.8997117097479599,1.8001737135111417,1.8008044101423697,1.9620559647261109,2.3226587110577164,2.1000162165841054,1.598182483886733,1.567328528612672,1.5408516142521276,1.4292385406414652,1.679375420767276,1.6975680295859608,1.5495499515383553,1.538214302841387,1.7602699731730467,1.716426582201718,1.5716528020598317,1.7534462455195399,1.8521618090546845,1.8116633508234137,1.571590211385616,1.5103363680361133,1.159106233210602,1.2726827417729354,1.2811512328600836,1.237340574704498,1.314908444730069,1.2649835818122044,1.2176787053202938,1.3623886181808538,1.233716173497557,1.220983166841743,1.2917328097079508,1.2880723742401035,1.260290449569503,1.355630854430561,1.461404154562478,1.4014627728805993,1.4779358886598895,1.5734260564011833,1.57564034331961,1.595106986960803,1.5563389283304112,1.4727890941858253,1.7039647902688944,1.6524273456867906,1.617458969642628,1.6053822836417118,1.713892465667495,1.7373520448447552,1.692715809901063,1.7662794225397194,1.8624284066262013,1.8648762956153262,1.8479332376637156,1.9187481486394462,2.0174871196733632,2.045459358751653,2.0875216683230637,2.6444850928067853,2.5629982982358155,2.2240923000255552,1.8999582969129458,1.8118750318570647,1.7223440276908184,2.0430806991966017,1.9533183853280947,1.8748150712121412,1.8899626906210159,1.910000512818606,1.3284347875704212,1.1650649224139442,0.9657202947577121,1.259692078334822,1.1093428611037268,1.22296206051042,1.1744756884483685,1.090751702466027,1.2670946436574695,1.1633602674848829,1.0967868562087608,1.2904074837771908,1.3428048978026004,1.1761218056941942,1.1465668135022529,1.3522480813472466,2.0912068562134745],[1.9685651058606133,1.3871524914231275,1.3099504078385866,0.809751364018085,0.821577641795737,0.8402563571858538,0.7910508698210246,0.8311328845650602,0.7946520141354,0.8436863648987176,0.8302987910151077,0.865696290051841,0.9574034427665495,0.913185415405892,0.9947173748676623,1.0281642804499327,1.1112755761507755,1.1896588707961366,1.260451322688658,1.3633478067110607,1.4299732672687222,1.596695967456451,1.5759452084613232,1.614027729194988,1.5826757429288378,1.4515498286500645,1.4139086407142487,1.2931418693188828,1.2415713893772458,1.1357682090148977,1.0755740740334556,1.0942403320382377,1.1294801886142134,1.150194648962452,1.2079340802058316,1.2304621503850117,1.211838763749884,1.357271382795755,1.3511352432568768,1.4407052378515828,1.5773793662086373,1.4989428462838068,1.4770164725599662,1.5029055590160016,1.706846021816999,2.076031001269901,2.254445319202001,1.8672223816974596,1.9821421366412715,2.4365897001318095,2.4589430854581944,2.7057163274407547,2.160973387944809,2.1550106867301824,2.5849835210619037,1.818144869811289,1.8449390977173454,2.096700745412539,1.9738056762823202,1.785712140656243,1.6111403123874166,1.5325153900532265,1.3400877282282695,1.4504112242425145,1.5857702859145248,1.448698672715783,1.4627569571170622,1.2669606527517738,1.233775653579667,1.1459351490782907,1.3025797278665496,1.3775443026923508,1.1751853948419584,1.4339108049332467,1.211174304245915,1.3430236422890547,1.3072998913462361,1.2439939002025147,1.3083735461613917,1.3999114087750277,1.3188966176385857,1.4850223709559034,1.3544440938121813,1.418087595565708,1.2984471797754216,1.3200076912916388,1.3765860698185302,1.3152661101465433,1.2927110013210514,1.224624797248494,1.1593359595723993,1.1114396113575922,1.0660454258515826,1.0712699218628052,1.0328572346947562,1.006056311470801,1.023300193921876,1.0037332116124185,0.940918973657716,0.9692105431640186,0.9909528938356708,1.0366767493516915,1.0482816395488375,1.050395577946932,1.0758770759060925,1.0659568875970564,0.9997196486942179,1.0284661099295447,0.9323783015374221,0.8913096389864461,0.8799813361756554,1.0001524206422183,0.9088069249216638,1.0019854566439539,1.0202147984855061,1.09281510878572,1.230151364171748,1.437357547868804,1.2998896202290537,1.1891416996229374,1.1347513547747694,1.0604908455180326,1.0892023074013917,0.9346683244129952,0.8042363423334995,0.94874584424641,0.913019084366211,1.0005759190698962,0.9863066529338067,1.084688670213828,1.0783089454465546,1.0870730318194861,1.2608037011374669,1.1767339076223062,1.309560256932531,1.292180238769308,1.3209337100494811,1.3227467432123037,1.1961021381926507,1.2848884538899987,1.3734422795923404,1.4920470142778741,1.33030530548422,1.3217002576096437,1.39762747634298,1.2530105066614656,1.2250176626104166,1.109497549194832,1.0406118848022776,0.9187459480771297,0.8866673964732726,0.8457576982009491,1.0118246280401755,1.237250416220627,0.9629874379647129,0.8964840312293932,0.8917066395305868,0.923124780578044,1.0139593717442734,1.0252294180996249,1.1816546835224337,1.2282589935323183,1.3455921299012599,1.3783232949277064,1.465149244115893,1.4753303793273311,1.6524234460767266,2.002905525335664,2.0127001860084457,1.8517316043688492,1.5920177487891285,1.4718902300473893,1.4293507009633946,1.3261039851907697,1.2761760128676456,1.194430882334347,1.1835261349780972,1.2148326154155642,1.3102553931047032,1.253003126774088,1.2532181944120908,1.20654047451242,1.2802236362993815,1.3627710561407418,1.408101306729563,1.4801019538119686,1.502536341276068,1.6264996271037193,1.819416658491788,1.781267579698643,1.8569375913943524,1.6521840369279666,1.8179119337257552,1.7160603036860607,1.438418784888179,1.3916573724747092,1.2527166287319444,1.1178341326156556,1.0516738845411662,0.9874675645330542,1.009785043131663,0.9011799938621081,0.8558604807836657,0.9307628310895957,0.9455505419073246,0.8971650870619512,1.013600428454697,1.0672488007976906,0.9664892187328564,1.0914957190784425,1.2000759524722735,1.1733596557605044,1.1812403579499224,1.4454891547270416,1.4893786729132383,1.5039765354058314,1.3325260141515824,1.462398091395268,1.2695140750351048,1.2717175928902962,1.4376058431306638,1.8884230152559434,1.555843396670745,1.250928603833793,1.1700163750151669,1.1390775823863453,1.1486137218320254,1.3854681931139219,1.3366583310977755,1.2361233181115154,1.2654621192614877,1.447150645343805,1.3778283780479008,1.3070745867135078,1.6695686962551075,1.6743843282160602,1.4272014872191021,1.5885879348901433,1.1688780528560065,1.077729106498489,1.1443995487332483,1.0534515873110322,1.1008722715223023,1.1052016186190279,1.1956573388844653,1.067605160613551,1.0169809935530856,0.9946314724646533,1.0427838911452874,0.8988788656615531,0.8946693329389408,0.9118586413417461,0.9284306512404955,0.9847515564709003,0.9666259914249298,1.127738452128879,1.107306237355572,1.0812878013395169,1.0665507283034168,1.0303542375368502,0.9860961801554754,1.1647246493977141,1.1108135728540405,1.06299545837483,1.0986635600480092,1.1849953832952538,1.185673707172562,1.1452206579870745,1.3050952996343828,1.3792925221111356,1.3281914938914194,1.3788683413645846,1.4802708016838455,1.617382793293324,1.6158421742256006,1.6253826586876254,2.39885170345163,2.378203108508197,1.8900754632818926,1.6254205805818813,1.3733572073397335,1.3701220741382305,1.836180075089773,1.6410481379987771,1.5989679299353292,1.4532528116153447,1.5493426562257941,0.9664725710291537,0.9075986700227076,0.8655962881006909,1.0095051665313552,0.9236467228869542,0.9837693554974488,0.9679057800065581,0.8627638013012549,1.0301408868521738,0.9372801700842025,0.8921695493302244,0.9569553669282679,1.0600982680058781,0.9256436054427112,0.9988412261532761,1.3039413556418908,1.9440924293917436],[1.9064394727781608,1.3694867632836865,1.3928015453672142,0.8209058015944398,1.01668999731292,0.970147009721406,0.9611440063536296,1.0416650222136756,0.9480980751634613,0.9688283998493407,0.9513314812736614,1.023826172621817,1.0935217092789622,1.0061029210922365,1.0894522282157535,1.1450187981098694,1.1933487896232102,1.2513883763468725,1.282377698322341,1.4128115651327737,1.4582147842933892,1.6348525437240953,1.5947672760286353,1.623407751028024,1.604948319898047,1.4660449475195787,1.4527197402657275,1.3433473332224064,1.3229939347441058,1.2656624226922124,1.1807449670522339,1.2593772567282577,1.2927186718579728,1.2900014618101208,1.3513227211574932,1.3381439434310636,1.3619046287696555,1.456621651413464,1.446471386075127,1.542720281703962,1.640138354042299,1.5539363947665765,1.5362869274969866,1.559255508126227,1.7494902665193943,2.0951073580143538,2.273319425294221,1.9105075953708608,1.9966551892635944,2.449790416432381,2.506896423810779,2.661649021952979,2.2143573939396854,2.1929377776505223,2.6937740752694674,1.9176109718259216,1.8882370454176995,2.165212154452975,2.0665868792542152,1.846773493516361,1.6714920519991827,1.6031801898788496,1.4170670361031827,1.5092390376789584,1.6392579754311907,1.5120072413269372,1.4919350883953828,1.3146836441767074,1.2522590985000723,1.1769187644623014,1.309844421076232,1.367973367165026,1.1880735999071426,1.4421550199827902,1.2608971220928162,1.395189999543421,1.3811585580708567,1.3400934334638364,1.4156501459715547,1.5045778531384264,1.46967395828531,1.6015115678047926,1.5460702553937886,1.599476705654201,1.4384758615078754,1.4728971680074119,1.493963905695886,1.4695638687258978,1.395234631677876,1.3520926089536067,1.255724967096234,1.184103343899132,1.1503943309454365,1.191395235804157,1.1520334792726807,1.117007859030924,1.1282148682654891,1.1619558251540856,1.1286048343757706,1.2051074740962588,1.2019701780212417,1.2940764696037121,1.2791372973044668,1.3276442605201633,1.3239503793370857,1.3538456746984933,1.3357857345711746,1.3615919639745337,1.289870298191564,1.2194628054039478,1.1813333686950136,1.2535857093624427,1.1267922206858145,1.1601254094229405,1.1243259703485946,1.148976530756895,1.2718007788852081,1.4483144961222743,1.2968550174089646,1.2171132373018534,1.148110348039733,1.0965875163122667,1.0959298671515103,0.9936282210735928,0.9167939824659896,1.0976529765612215,1.1374609467355996,1.2377756353331917,1.3039996074402094,1.3891724330810058,1.4259314764764532,1.4466307791158908,1.547993671474269,1.4711902107566115,1.5516912814728159,1.4629935330200625,1.4989952372417488,1.3854757559296382,1.2111536325739938,1.3453343022153312,1.363062759502434,1.5000675534783956,1.3440771731983776,1.3581674965090693,1.4620202534090037,1.3462328965696575,1.3170650404370252,1.2553673669977996,1.2434877589214852,1.1216321291734972,1.146116414560237,1.072304049657456,1.2639780190430496,1.3898557428760097,1.1529977613348998,1.146914554422457,1.1062233761069182,1.1788309541152355,1.225517771494028,1.2702342809735905,1.3569526066684967,1.369892173799006,1.4456327604319716,1.4912353333458153,1.568783369892532,1.554820804492533,1.764183677784321,2.128355646490811,2.133416534017252,1.9044443585479527,1.7098786724160786,1.5621320196609354,1.5755498507750894,1.4949597343412857,1.4557135143918034,1.4141259970370543,1.3795528607343572,1.4446178354891055,1.5007457555325494,1.476470501700605,1.4089987468773675,1.4411021706593055,1.515905012779004,1.5951258174522156,1.6148371182556096,1.6417482466967945,1.6152735111758596,1.7431933056665632,1.8805910997188373,1.8900050683224185,1.9696731295849836,1.7780253412590625,1.9449455145760697,1.8940366940015858,1.688726930707383,1.6337510641770374,1.572046137075233,1.4447140387127715,1.3532725102022776,1.314443188350534,1.2629421212462721,1.197197431029802,1.1769575036531554,1.1394049312651078,1.138272955216769,1.1092862074545824,1.1458854361777333,1.135934777757908,1.1063196297818767,1.1855610400454024,1.2493905225863988,1.2223559109762807,1.2550989509221577,1.5112335959908891,1.4885503241939777,1.490516221290229,1.3589306088779631,1.4708099532235648,1.2690268962858198,1.2767079884994816,1.463435847837891,1.919209971044446,1.5402989264028357,1.3331820112469162,1.263819095696683,1.270058048817859,1.3623556994935258,1.5336886748229615,1.4462160257862142,1.3840690783006486,1.4409313302123434,1.5735635163814898,1.4823942077035939,1.4808640226782384,1.7787572095153976,1.8104871093254475,1.484882263005678,1.8046399523069994,1.3762040765622925,1.3692141030288494,1.408293377421669,1.3074505693573248,1.3510295108861943,1.343863146730623,1.4315721738140164,1.347147656535806,1.251683556796172,1.2492377127130598,1.3318001423878767,1.1388591945349844,1.110821177121012,1.1267866157784074,1.1082530891303384,1.122922608662064,1.1219009358918188,1.2558912615666122,1.2090543969125844,1.1828861340522687,1.1515107215987275,1.1485248250321083,1.1364550340151032,1.2373090513340983,1.1735992793388428,1.1344483343259244,1.194139861454856,1.2085870159219751,1.1812889115632277,1.1793945983080183,1.316113776226803,1.3359368844964805,1.2546181258133928,1.386180242739386,1.4387638232344446,1.558963011895938,1.5431873428056737,1.5386573163373565,2.4184171184015604,2.3788346355399645,1.9444623823385419,1.6480954225819475,1.3698319938052486,1.3784394968958396,1.7871751060118204,1.5900988507427367,1.5977351228133059,1.2813644516354625,1.5710629144546566,1.2307905519829898,1.2410125645775831,1.195438493418833,1.2516125540697163,1.2003667082437013,1.2163601696197892,1.241726116789919,1.074431362083877,1.1946153903292707,1.1311529063943755,1.066586691806922,1.0215539742194253,1.1235291488471595,1.0435316308363964,1.1916227549975889,1.4890100823653745,2.137308712899254],[1.8322877982964267,1.2530396141350617,1.4070610650018913,0.8839974341294217,1.3008076703753468,1.1498667869489962,1.2340167244124747,1.3130953764756232,1.1894396353654642,1.2175214984452485,1.1955664427018469,1.2273734021995273,1.338087906175848,1.2442514676453589,1.3134376966348282,1.372610806743907,1.4072768587512585,1.437325583290569,1.4210270479639604,1.5590749362285852,1.5698376643009118,1.732561311555847,1.6538705404804086,1.6567238577004206,1.6634479031995855,1.5524247080206526,1.570199070897425,1.5106295487700352,1.5271282342332826,1.512754524069183,1.383959757082727,1.507712503246387,1.5130116087539494,1.5201988147715295,1.5798175592723918,1.5513395271148354,1.581628823584067,1.612739602963541,1.5832456800228616,1.6549621469439133,1.707432658589908,1.6551296983810304,1.6277943621182043,1.6537707751712925,1.793244781139451,2.140914304701987,2.3358152633759235,1.9629948020183718,2.0874804452411855,2.504373224774452,2.51189599171142,2.763524637563684,2.2703917052596,2.27305345553146,2.8127340932209797,1.980790197505816,1.9733645791291519,2.2781779916926643,2.175952458086909,1.8725738837668606,1.7161157837112218,1.6754975418238232,1.5354173701373972,1.5991198688374428,1.7039317041362436,1.6264866985314517,1.6262169683755388,1.470016667188222,1.3974410073125956,1.3484002302010605,1.4870271223403413,1.500195187129956,1.3499705167915792,1.5659764976807242,1.4180389386219239,1.537793673412899,1.5490172157282536,1.5211274471491283,1.5809690694613023,1.6658979397670761,1.6692647512909873,1.7114625855217203,1.7382083713595045,1.778264129424381,1.6349324184853207,1.6720712204268613,1.659716852969826,1.6793975538560222,1.5752357846496097,1.5640176759880984,1.463405647716657,1.331018667147372,1.3269287908088683,1.4032239798542214,1.3758839479370555,1.3265606801533167,1.3363244040079307,1.4125575203922678,1.3857261437431,1.4633814368459555,1.4904637189982788,1.5852684434875197,1.5613207066878092,1.6282101109383413,1.5188861930260509,1.6350450462503099,1.6048986820639195,1.6166139804023751,1.5715049401758547,1.526424621705851,1.4817397582846707,1.5777370474768349,1.4362404599201042,1.4492525370127238,1.365961457577562,1.3616958734131068,1.4463910988646502,1.582092400526547,1.3921793713534252,1.3861040506485212,1.3025333510341672,1.2976879605736755,1.2657428171475782,1.2263786079136303,1.193871517649334,1.4081828072501867,1.467396631556965,1.565442672804627,1.6085779281770636,1.6453478682951528,1.671411102948085,1.6856369474754438,1.7180100387803316,1.6849343630232778,1.722320979141528,1.6599483922281146,1.7019323389945447,1.5524619256993861,1.3488231094533987,1.4595823525918115,1.3636708582546027,1.4674839899411258,1.416534977043886,1.4884853271040737,1.591262721818478,1.5398267089695183,1.523774514608651,1.5220926079177246,1.5350787654857987,1.4051894521938963,1.4475497543949019,1.3369579661541353,1.500885240320739,1.497268910023783,1.3909098272153861,1.4219607628175883,1.3900465153649568,1.4789245267930593,1.5087122819174614,1.5596563296543349,1.6058889661642854,1.584137777712588,1.5926409393422287,1.6281816152048088,1.6578381124285386,1.5712470379794528,1.7752977435970907,2.058133602275147,2.088025045495747,1.9115573041838267,1.7555608747387195,1.657706860594361,1.7115811012254336,1.6646250239769316,1.6591725521312122,1.6515762463293642,1.6429228158141331,1.6868796269075448,1.6977501230237502,1.6866988607741094,1.555676841046647,1.659742580160111,1.684954415261718,1.7171421338873678,1.7309799398385075,1.7287431605730819,1.7152310488825488,1.7642024889391426,1.887971397675533,1.894848254555377,1.9550486191457528,1.8171378659774733,1.9779116143410171,1.9448647995947845,1.753561726163237,1.7109310983686163,1.6737753950345822,1.6372400331627488,1.574839379104007,1.5843738858156373,1.4345452469964788,1.394278006540943,1.4076810171265621,1.2528235267015406,1.1801022327894728,1.1992074220525806,1.1109798128695163,0.9855280502832829,1.03942929247921,1.1213223224735294,1.0496783904140066,1.0107432205542008,1.151142736513019,1.364564140511161,1.2567766340364626,1.214436072825473,1.0774336456388498,1.0876056578062903,0.9139426533675836,0.9427271302301611,1.1518258235534604,1.731930470868886,1.3309670634903439,1.3554642402401698,1.2873859250316517,1.2549254005910884,1.4316993131350018,1.5276159461664336,1.4210447182893677,1.4277611835516968,1.4939291889993083,1.570291095032015,1.4855142995197546,1.5459036606759147,1.8380694227040035,1.844939617311402,1.5288471285251362,1.9174060030137912,1.5132662510166321,1.5517475213210496,1.5445925815804105,1.4477419628285169,1.5097754523638554,1.4822709444035367,1.609474359069314,1.5225708441887742,1.3222938307176422,1.3844275139889621,1.5034271248766955,1.2397586144762178,1.1828121693444769,1.2262370477405258,1.144329647904716,1.077004503202239,1.0965287963110733,1.2678431525815776,1.0719702063398262,1.0225094053844457,0.9708931500419468,1.0149164954918455,1.119802991769773,1.1216778713300908,0.9988220821101477,1.0007480848741213,1.1569508961150352,1.0637906557700745,0.9736029973324422,1.1245899108759672,1.254896741453253,1.161327340712267,1.042404920803442,1.3832269004015962,1.3658639336369114,1.3973144597629732,1.3143274393163438,1.1379316851343744,2.180605168186633,2.1712081308064746,1.5297543384317966,1.3482003117959958,1.0302820631374914,1.2660343629321558,1.6655567095692703,1.279029312860074,1.1267804832354151,0.7382522852976401,1.7719577580949615,1.5127565804914105,1.5661455110720444,1.550124408025149,1.4870874139018624,1.466846700227814,1.4109182445446675,1.3820633046999082,1.2795789176464512,1.3046628032036085,1.2436163037335886,1.2333259317471608,1.01477608134587,1.0695985920921354,1.0654043101004234,1.3527107967222256,1.6819324250806902,2.1512091052852362],[1.8073956505912954,1.295532368361934,1.3627312708022592,0.7714967052934868,1.029133338133996,0.937299784164206,0.8681686922509175,0.9343174136581115,0.8182546514127779,0.7595302443641294,0.7418115486838142,0.7949192633046775,0.8296447703957491,0.7599507298269236,0.8326073632489965,0.8442815498328325,0.860556374496678,0.8837872143406125,0.912643677201831,0.9969373309425718,1.0459033729026876,1.1835806091800583,1.1950824454721751,1.2323842580848234,1.1800929262486377,1.0528321686815048,1.0093104448184835,0.9360987879030943,0.9280897252673657,0.8983968357399698,0.8201514659514586,0.9133437819186179,0.9413155112230034,0.9058612456023117,0.9438426336458144,0.9174352789639884,0.9437793614138691,1.001292600272838,0.9616710564912263,1.0748717479272492,1.1795108724867227,1.1047593217641143,1.1268728975179874,1.2596719554234332,1.600766977088637,2.1244789208447457,2.4326911745183692,1.7643746558572735,1.8760776976916174,2.506853437001167,2.444030650378563,2.8231996604805265,2.041137164069966,2.004100595500979,2.230844273240468,1.516450173021767,1.672440443643717,1.7897551768028284,1.615698622291611,1.6905690785889542,1.3370162100689313,1.1876690046235088,1.003013890638967,1.040029432875068,1.1811389281709315,1.073500756309022,1.1388399968814014,0.9412588009747581,0.9572315246716662,0.8812219865911289,1.1149218753104289,1.2557715519167718,0.9673763575850775,1.2306183466912117,0.9127785259818203,1.0816986375643494,0.9809211930185747,0.9146181070290108,0.9632472508972123,1.0381700401371037,0.9782135427830834,1.168965170357199,1.066455107951598,1.1068630798018035,0.9985344716029242,0.992465219373701,0.9988644140639826,1.0146109890359534,0.9458790257393247,0.9377752415623488,0.8683408658141125,0.8446181089212622,0.8093791998156911,0.8582575502207633,0.8444787984083668,0.8616522764037924,0.8997399663797916,0.8829521653901258,0.8735455575127462,1.0044337172530589,0.9398904245936027,1.1000515119037753,0.9600722817068871,1.085307861904734,1.0015689093490594,1.0913403899278773,1.119242418796444,1.114295393960007,1.1157434805206559,1.0587125881362844,1.0427902174426928,1.0010980513656265,0.9256358829416479,0.8683505423435851,0.8385007584009194,0.8491197066179549,0.933333782013761,1.1270078953399922,0.9637207682177229,0.9162358676452922,0.8974497329617125,0.8656510709416517,0.8789547520094427,0.7489392545998393,0.7241798837734483,0.845782816740902,1.0325650866809692,1.0022383223582354,1.0406959472007449,1.0452840536035768,1.060528568231338,1.123829016903488,1.092732225230787,1.0486108818836217,1.0675208629380908,1.0994442373689566,1.1253216652203626,1.044972068900324,0.8892040596984307,0.8927054126962533,0.8996277225271284,1.1617626364480402,0.9126141107979037,0.9254481544142555,0.9692613992617082,0.9162891897468936,0.916668157645517,0.9031963104730935,0.92446495509795,0.8927366678570648,0.9905156997662347,0.9360635305464275,1.1615789795088238,1.2492257950301564,1.0464633730343633,0.9820760386666869,0.8967969198253823,0.985948335739896,0.9292149119233779,0.9643524808373399,0.9764173646704506,0.9341626087757262,0.9529543383204131,1.0142815951875224,1.1476733476085619,1.0878574183250824,1.3699493690647173,1.8617252875443147,1.8005922580574645,1.5813945294173988,1.2577691882730595,1.1536369924781078,1.09151377698152,1.0311308683661382,1.0053599106964235,1.0091884333433176,0.9900070576618268,1.03901969720933,1.045305244049707,1.0344681784454266,1.0780430438417192,1.0266309521864914,1.0597179199603615,1.0880411057517638,1.07964972118106,1.1053246135295827,1.131026231196189,1.3016944494887255,1.7184471098393463,1.5018189266496151,1.6629228326827459,1.3322829466841102,1.5584606837911856,1.4604006277003623,1.2869344606307178,1.3669319121465215,1.1424200089523329,1.1873655411756727,1.2493136566590664,1.222351888655097,1.2667943991726578,1.1954460523302282,1.1695159726102764,1.2143453954844896,1.2159099190280487,1.2106773696018291,1.2302211684894864,1.191559076710551,1.1961762427448317,1.2837745340957232,1.25865333011418,1.2362886048777644,1.34996076264035,1.5133106995578796,1.3693498356636504,1.3067708941874046,1.270595267181272,1.2383661967120119,1.1821733510471462,1.2033831190952233,1.3658695265149947,1.8867227028568743,1.4771114370183507,1.5834173355668326,1.4426277820558997,1.3522686127932901,1.4158557114953372,1.5450219933920373,1.5251020626527894,1.4639334087472802,1.4446270121607923,1.6152446585964988,1.5456224505308889,1.495745772411196,1.761207472673805,1.9146052982754704,1.5804182470292922,1.7108701271593758,1.3822026019165827,1.2337432212653665,1.3271345276990627,1.3173812633354034,1.3072146710913473,1.3433521010834337,1.3747533913366994,1.3049500787071835,1.2607637760138857,1.253659495273036,1.326373588643751,1.204561105717871,1.2018503745269207,1.2448866520297428,1.223660689638663,1.2094887653961004,1.2407882535649928,1.4311222505213643,1.2693758096945609,1.2380574374002822,1.2018419996341823,1.210486018848761,1.2223286876544996,1.2439674807140144,1.225638193824748,1.203065029185165,1.2819012801653709,1.285211503512031,1.2332206011027191,1.2881027968121292,1.4449557728060978,1.4159181660660576,1.3009781777558813,1.5510052079168952,1.5782535621778373,1.634097804681147,1.5319736142316058,1.2872490210807093,2.052861067277543,1.7238423912033947,1.401111037931285,1.2905628040906845,1.2240210308708592,1.4270817679899261,1.6720486015022118,1.2957551236607754,1.1433272736267284,1.2360039742931375,1.9007985746079525,1.2891934825040374,1.1971086643628217,1.0924578082793348,1.363488108608324,1.2853121112931958,1.357474636804577,1.158970206164677,1.1065998025724364,1.325562671293669,1.1767645574718115,1.0280179973660803,0.9537957816408402,1.0412218956257129,0.9855664889798013,1.2146894491020146,1.49396873522439,1.8676329844562118],[1.9595334288216972,1.4200866205519536,0.9812921969447971,0.4328467885811101,0.6477096901778107,0.6054697940104788,0.5802862668444497,0.601761280492458,0.5801372435698177,0.5956130124591037,0.5866770992615482,0.6112763065151259,0.666904434790229,0.6596712824219507,0.7244663593161255,0.7152113319049777,0.7695582290461265,0.8013193808965875,0.8551260328548216,0.913294413415921,0.9828435889625251,1.1357425631978244,1.1415143731875748,1.1650167860714182,1.114273527522628,1.0097464779445906,0.9350537320141732,0.8609577975363787,0.8182169003407199,0.7468314754924734,0.7022425390304473,0.7343528016784668,0.7617989889099501,0.7411725154148765,0.768925334652279,0.7797276684665777,0.7646368399456436,0.877454304935615,0.8398501918841579,0.9279258599065668,1.083033161507389,1.0180606144254682,1.0243136569174756,1.1458778710850468,1.5103423413291057,2.0936593754318733,2.321027860836707,1.6034791955076255,1.789160653432651,2.3302237100751757,2.1695334752487727,2.754157744369366,1.8994710726110686,1.8816910575325339,2.1308963425414693,1.3541151949094274,1.5662832661108395,1.6772056828605542,1.5531516598419206,1.5593694239056806,1.2255050396384206,1.0849285042405217,0.9077526600008774,0.977002309647616,1.077489126791737,0.977273547274232,1.0673207339209283,0.876310079703094,0.9172493362889313,0.8388566845725307,1.1038363475493078,1.2330041912300662,0.9248100570524338,1.1828118392052949,0.8597521792736035,1.0458133688485516,0.8816480055864797,0.7954462099592088,0.8265784919589797,0.8950925990385569,0.8174243370589728,1.0454656494382826,0.8585756087376069,0.9044467370597097,0.8702097061913885,0.821526618250497,0.8634309478480809,0.8252432339543686,0.809976197750308,0.7842028302091273,0.7620375468461624,0.7689479942488938,0.7293255271971791,0.7274199983311681,0.7149302299668014,0.7550648431042707,0.7838658482277879,0.6935172569124326,0.6439448712388838,0.6919031934520193,0.6804579253662691,0.7846473879485509,0.6693071141812855,0.7093239801617313,0.7709659711243539,0.7418866408175736,0.7355622447569766,0.7208436423524303,0.6422800205602384,0.6372756542421932,0.6256620983329149,0.6681563616993719,0.6387939757318568,0.6841656794933557,0.7225790638045451,0.7816365639980958,0.8699830764935186,1.0826388931621838,0.9141307629753453,0.8557909120067108,0.8444821781583765,0.8138250081396295,0.8371795138768401,0.6938140894644427,0.6038808491246594,0.6933559601356442,0.6860587433332891,0.6797604763507635,0.6481673866635722,0.6818219739554415,0.6676896268094729,0.6854969379944553,0.7806563046723288,0.7024007932437091,0.8139183296290217,0.9481512011201785,0.9627726142402151,0.9420530230514182,0.7949198485849602,0.7929801264255637,0.8102817779760565,1.0250498473597454,0.8273003545260591,0.8447242280612455,0.8728722895119807,0.8129706840090827,0.8129034642429519,0.7406144214237166,0.6716144408065311,0.6385764980094956,0.6395797705650933,0.5946645059075225,0.7689851557728716,0.9660049544586429,0.8156975491920313,0.6494986073963045,0.6108382028742518,0.6496316003204244,0.66081892199189,0.6635749278331816,0.757882463806852,0.7569841528368411,0.806271824557621,0.8373320215735259,0.9860903680512735,0.9140378175701686,1.1730776174099662,1.63246431350712,1.6152973701985092,1.4707147814014232,1.0971901165875177,1.017722272006054,0.9117187277791338,0.8326482333208264,0.7883317699826378,0.737159358884361,0.7547498732748937,0.7606841552580104,0.824985550362371,0.7720356069765648,0.9570934355180485,0.735819563265239,0.7751948647357525,0.8335695338380591,0.829549000851985,0.9022390297278077,0.9570776855534521,1.0918858526477342,1.6025834521563225,1.292284357221805,1.4471937773431185,1.1438093189115042,1.379557302284419,1.2619159445875037,1.0073464009312296,1.1252214929396702,0.8521043262551607,0.7891269396340406,0.799650641813267,0.7313121365572942,0.7302031650212928,0.6346479037640865,0.6145893489365858,0.6539009660232077,0.6682030344063384,0.7352283314219226,0.7667898344086753,0.7556015235791601,0.7855043436345935,0.9950606349899475,0.9497517104096971,0.946648719716878,1.14606524718311,1.296673815363116,1.2401307691464758,1.1624511071489811,1.0523097285259402,0.8841451187901359,0.7820297537553406,0.830429039917162,0.9516396813500531,1.483887025041931,1.1879858988091947,1.203980423313604,1.0146398956485112,0.8714656224451777,0.8558346001513394,1.0254134349501067,1.0441397382736246,0.9385032976897946,0.9711689017052899,1.213313483210026,1.162035691676811,1.0450822335653378,1.4101083931158558,1.528332150541831,1.2457963681614637,1.3547011467202004,0.9214740137125983,0.7571879557751116,0.8057150519652725,0.7672091749159535,0.789684323976489,0.8129397731878725,0.9320971988299394,0.7866083200222764,0.7150209102942185,0.7839274134828833,0.8835249992799493,0.7080810367377675,0.7741993478067793,0.8883729419694166,0.860308925898987,0.8259283599410829,0.9012076650865958,1.1620156848626528,0.960637920965774,0.9024868182077842,0.8165283331340704,0.7539664393998127,0.709079828419641,0.8109027561157999,0.765389858833325,0.7384424120617403,0.7656867541104371,0.8255970740955783,0.8158472641132197,0.8254913953898503,0.9961080572267826,1.0747221826068414,0.957798852733388,1.1406733972519676,1.225555757197415,1.3387803674606027,1.247309365336436,1.1341401945980532,1.872127801810307,1.7699695272459377,1.110951382042033,1.0239156592869545,0.8483997395914096,1.1872221888917747,1.4881738929367596,0.9153337913889237,0.9680351032629381,1.3573284657309872,1.4594536348816187,0.7741335618302272,0.6911035828874702,0.6623099923144206,0.9090671395476941,0.7848252160980613,0.8758247176412076,0.6308034160237552,0.6495133228024241,0.8583296341388346,0.6787206376112649,0.6092748051785147,0.5409655596114891,0.7354526202267658,0.6295574235123108,0.7970041037244712,1.1315598697345135,1.4289532203580009],[1.894756300019702,1.472928241781437,0.8927327729547162,0.47848568289508503,0.6908465296601571,0.5812621967240835,0.4655776868368125,0.5005661690357437,0.44394101474726877,0.40183812568259347,0.403437582639789,0.44727300801488784,0.46180104041176706,0.4465766967717087,0.5145518159970698,0.47885285056040594,0.5213141167079928,0.5456441259142325,0.6292870722993138,0.6499597016699145,0.6921070292849891,0.8157568930992701,0.8692721576816153,0.9303474015930199,0.8537170871271768,0.7348030286075591,0.6673699335623745,0.5890061658534115,0.5530790709262591,0.501690732734593,0.4891655150057315,0.5065767634780367,0.5435620904023115,0.49918553766499724,0.49433631108083836,0.5024242555749467,0.5107684717356967,0.6218537594256591,0.5927034290049594,0.7195467759450938,0.8623012554268142,0.7523431605783153,0.8071451720396562,1.0630960116129469,1.5568525172086272,2.2194638871424535,2.4870398808116323,1.5816407177681802,1.7742309882668248,2.3730504409969218,2.129794147025919,2.8296992947195667,1.8719059383716585,1.7736635070800293,1.8318367225751093,1.214127457765159,1.5882771353982774,1.3963549598798153,1.2745042462885612,1.6671687909337158,1.157209567459294,0.89528519044663,0.6879232701166995,0.7474239965302695,0.7984633831671129,0.7082145778441844,0.827195883590515,0.6480346003006253,0.7693715121916065,0.6606089361700145,0.9135534510093831,1.131326504373475,0.826205289950861,1.0247319170942684,0.6461612688417835,0.931365031608455,0.6497859894214111,0.5666537307929241,0.5875230673419037,0.6506824656318219,0.5463892534242415,0.8971746748679646,0.678139895931542,0.7102893912342098,0.7211883079478947,0.5743464427264836,0.5909702975335533,0.5786717928657108,0.5392046969169628,0.5453787101596413,0.5324934382805006,0.6567949695555702,0.6013880136616772,0.518722437091955,0.5104783733050648,0.581756466375565,0.6156163394978361,0.5113737013802419,0.4706090081681702,0.5671013198044282,0.5063225956059009,0.6812067350968787,0.5069499940176526,0.6035740226427555,0.6734358403127491,0.6619876913663924,0.7235886306360757,0.7299158783856945,0.6812918524189784,0.6200793995957521,0.6050155747159411,0.5603807270909136,0.4890172142516212,0.47661301137979356,0.48373336619837737,0.5254182924861024,0.5926092315344565,0.9952252543025533,0.7136219434878358,0.6195302431987151,0.6478960354576156,0.5863723859677907,0.6325456470101007,0.45835158091294076,0.3997534904775824,0.49430493675986603,0.6023170632043657,0.5716210456279427,0.5967871477877901,0.6144364910611776,0.6542107061762121,0.7011138189904697,0.7329360503913112,0.6350379207532773,0.7256407004042207,0.8665404779536212,0.9068877016130779,0.815658511470454,0.684369301038569,0.7407204712214929,0.7756230340636088,0.9853548483667401,0.6366695804818508,0.5996743127627701,0.6075832802109783,0.5543556878690252,0.5533379952824001,0.5107299097512451,0.4785945474778261,0.47713591929516386,0.5527315997574992,0.49327666619208804,0.7162087675946828,0.934138371495221,0.7661066798327176,0.5255564454364584,0.4563823659319721,0.5309139873732922,0.49040629675150876,0.5188995283092922,0.5966508708960033,0.546638309444696,0.6043407179102259,0.6471157916793551,0.8886137664122328,0.8719527668280677,1.1413556534655243,1.6756486243222513,1.6145270143118158,1.4597039906098943,1.0430732584079978,0.9542284996566844,0.7841285219924411,0.6972377756671426,0.6137868083921353,0.5597037185508585,0.57564791525466,0.5895542363682348,0.6430791202673892,0.611582006561135,0.9445405111414966,0.6121486479554338,0.6872649467780932,0.7396845435231644,0.7181165801303125,0.7767940454339917,0.8124955378625872,1.0404120345765508,1.6770464026366925,1.2655018048713884,1.4587327946636062,1.0739485564276512,1.3330536183472825,1.224717467162616,1.0167648221444732,1.1480555895228355,0.8493787872127331,0.8308171181009141,0.8809049075098,0.8106970694382809,0.8677677881112354,0.7837677615703643,0.7456810997648081,0.8444317395011455,0.8902516113792506,0.9628410941981229,1.0001401567799912,1.0020360058468467,1.0696987867942382,1.2411479971764359,1.2058570785034588,1.22382636214844,1.4129906502270297,1.4887983794711455,1.4408540727998291,1.2939575181292484,1.3144613006649843,1.0295498151342708,1.003372768938176,1.0566191076442153,1.0099950828567263,1.6284510208946787,1.2759383059414415,1.5362710760751972,1.2258410222446008,1.0368433414107112,1.0599867625564066,1.1201476954223042,1.1531978086164825,1.0803255702730978,1.053773279610948,1.256114545740098,1.219870157592652,1.1251650784297806,1.4475742022633036,1.5860482717735274,1.2826818657760877,1.4253688125579702,1.0175215424926467,0.8189817271396904,0.8896738214584544,0.9234685933766635,0.9132488453342423,0.9646779461993334,1.0382436927961247,0.9220262687367247,0.8886757730922685,0.9561139224589984,1.0307994735359538,0.9323632104683142,1.0340447581541166,1.1426068594186143,1.1302623600083375,1.1112728865018793,1.2100595670056016,1.4569229231031349,1.25573662342692,1.2072031720364162,1.1101927612893103,1.0220428812053821,0.9476130364255094,0.9390810871287507,1.0057402492753946,0.9775030485456205,0.9474288059620746,0.9955488330440436,0.9936886933821394,0.974371182779933,1.1085213672876082,1.201538643500291,1.06839971306809,1.2282046168135932,1.2929007947632394,1.4236375871263325,1.2952481629452652,1.2085765762436724,1.7802816765105964,1.6332399752926043,1.1065327652545018,1.1031296203463166,1.0283359323715027,1.3754416908803109,1.4606487027871924,1.0163375462273196,1.152389772915678,1.587722879705436,1.5800132555733828,0.9347207400022298,0.7891295088808082,0.7025494415435224,1.0284300763642278,0.8834995938128094,1.0080864459174954,0.7368829344279513,0.7403760389253526,1.017409550865331,0.775708760480707,0.608300497605137,0.6742782683273636,0.7559329554454891,0.6574153295164906,0.8211492313474761,1.055681181677277,1.2651590706393718],[1.795172028867044,1.4902683631229727,0.6783347798593725,0.2558770269197844,0.47250634178841594,0.42279024863846865,0.39288437755627403,0.40144068155978957,0.4594846818124367,0.4816661868696851,0.4755691015925527,0.5364977546561677,0.5377714308964331,0.5336090994486357,0.5802430608063495,0.5568690818479637,0.5919434671243465,0.6050395480985765,0.6479031622789104,0.6848782434903309,0.6812391464689764,0.752621861885329,0.8200435226365983,0.8742741109786617,0.8342271341597763,0.7271077122856012,0.6852277670643732,0.6336301909596784,0.6153817685900788,0.563172940709995,0.5829493396557571,0.5423961221122416,0.5720982888434571,0.5725502929458218,0.5401116143740574,0.5557289017014716,0.5556545408266932,0.652111301022125,0.6558465549944346,0.7683568623224669,0.9256591410249693,0.7497855456433076,0.8082437668404304,1.0515652158054043,1.5547984248795443,2.21665507439287,2.391183175357651,1.4685749053366692,1.686887911058819,2.1971972399173616,1.911238753748179,2.77212273864361,1.8170260472887325,1.6807796389492922,1.6176692801404233,1.1423992224961814,1.6593216798587527,1.2478821951350347,1.1992344700289557,1.6891732775581714,1.1913618781589046,0.9188690840568056,0.7487849037618166,0.7667687035207142,0.7823883186469419,0.722757625880351,0.822507033919608,0.6827219896009518,0.7887928911448426,0.6840410151889206,0.9127862357345123,1.1158999061080785,0.8391782496158828,0.9900554572965375,0.6820955751077553,0.9993335771394359,0.69223624908935,0.6347008946779299,0.6422355699980191,0.6864583211960193,0.5735398957807597,0.9244071074424379,0.7386184438456843,0.7072607686469745,0.8047483527343532,0.6063966606442938,0.6169074278987974,0.631603616649631,0.596225457170603,0.6194635013109915,0.5957674904275584,0.7408015665442234,0.6734154273721751,0.5813652027543807,0.575866916136662,0.6292751381640938,0.6687345153486579,0.584239168332405,0.5296263335177276,0.5546461731703062,0.5328234102974865,0.615086022288149,0.5231700429225085,0.496151400748475,0.7136932815195945,0.541833668942254,0.5953085006329236,0.6078712704936574,0.5070234868036,0.5696620816796719,0.47009783493501683,0.4778504249583433,0.4357211673236119,0.5169212218839501,0.5628418438319446,0.6040548855246787,0.6340577466997266,1.1215812740941684,0.7158872964535986,0.6619159092124153,0.6782583231535181,0.635978515982681,0.678438127620759,0.5576218713775801,0.48702925787502294,0.5538227076614809,0.48183388292008994,0.546824237686728,0.4974648250557057,0.5819367702632446,0.5822888338190686,0.5560375089101683,0.7250040907407685,0.6547318791207234,0.7880594612194538,1.0114587675159474,0.9868628682949725,0.976944461359361,0.894935692066279,0.9408721198671939,0.9225850773377056,1.0419353054922404,0.7211874011948056,0.6844366046396606,0.6604333069590693,0.6309207793732334,0.6247730297029769,0.5693728923076149,0.49957705343065395,0.4806942073660282,0.4620387228605516,0.4356697306277316,0.6194426912791543,0.9583831524009724,0.8048481937871049,0.4669671401469884,0.4608430340065757,0.4696335927383454,0.5120389194204737,0.49518564023294975,0.666308605895664,0.6334378251036158,0.7255003544656415,0.744490998864456,0.9892795389921744,1.0324843355785362,1.2228101394031368,1.7076876549501026,1.6799706208589167,1.5946239303289798,1.168233639946368,1.1221107055269206,0.9041095385624626,0.8213186824472332,0.6902583444858118,0.5811528613831355,0.5900093211659283,0.5998391733986169,0.6708214836056611,0.652652297983548,1.1498462692182643,0.6729288321303565,0.7522617258969105,0.7750299726641106,0.7795955624559905,0.861142226863303,0.8963375599142659,1.1177032007340286,1.7827545026018394,1.3043539288973371,1.4910324766865521,1.1048006024389796,1.312055124036254,1.215724905315767,1.0008747597369152,1.115952942511013,0.8481885579794419,0.6583110250003295,0.6460662957425992,0.564072301166304,0.5593753359636544,0.5152905500753913,0.49784551950150213,0.5551611442106591,0.6311487314439739,0.7812962371744716,0.8323067105254107,0.7861747917734863,0.9169201330020151,1.1174067661402591,1.0367514006143812,1.0808481236450989,1.3176723607306011,1.3497753106836814,1.3106334858521405,1.1299965354425094,1.1646905845905047,0.7757007689295836,0.7473309165867701,0.8336928327307124,0.7965577706480816,1.284527172756683,1.0485272103780767,1.3234406019833842,0.9935161186914824,0.7558940562085817,0.7236845210212636,0.8066588461951385,0.8081361028905408,0.7318473762101441,0.7983002963542463,0.9473683939699968,0.94718322145137,0.8180546651874373,1.1701011377339774,1.2754337392765922,1.050914433006351,1.1316789082894023,0.7321444916622616,0.6128354065441685,0.6104597065726242,0.6275996968367656,0.6725047770277504,0.7214076229442106,0.8683447393204862,0.6852708749733194,0.6884857031314827,0.8134862217620664,0.858078705336021,0.7832540021916872,0.9395261415460122,1.0845233335166244,1.0384319829024766,0.992967404984565,1.1194696634608325,1.3824223549391101,1.1353458739519746,1.0667888830481098,0.9478063000442288,0.8332882092027171,0.766056248026931,0.7481825612224071,0.7550613362153514,0.7426607137074971,0.6595857498472615,0.7071996586762479,0.734093186646996,0.6922100694384683,0.8071323579100399,0.9551824958260521,0.8317708859150411,0.9523458505336772,1.0114257140331742,1.1730836974324068,1.0830851902752536,1.0835979495570547,1.617309558266378,1.6381370297443445,0.9008227944747211,0.8148800261450521,0.732290209102851,1.119942072799611,1.1152274166371179,0.6802373147390107,1.0332331160273986,1.589833123152375,1.2802461212428584,0.6784646428493394,0.5394325365772547,0.5091854990417045,0.8565235243534125,0.5825894760038994,0.6919862767878082,0.5828720618317447,0.48064107431824943,0.7533919628731013,0.5356129413461221,0.4552102974485514,0.427314030810735,0.6086883835683982,0.5039760105362374,0.7091576996443439,0.9652463219833416,1.197770248534406],[2.3092413478264073,1.9215403637520045,1.253186930805659,0.9674432811093197,0.836070658735433,0.8744244155997692,0.7690799831833932,0.7429623561330561,0.7415783376497455,0.6287989239806476,0.6176817826519062,0.7375421207353934,0.6285810034056825,0.571525720544954,0.6346153774177473,0.6206678214077676,0.622699585095765,0.6467070487216235,0.7605594420202836,0.7630785345397177,0.8573679045745303,1.0187271968957805,1.0558634538216094,1.1351768970563594,1.0081443755807604,0.9061498003084429,0.7934993941256668,0.704247498835142,0.6493140337508279,0.5824078055796319,0.6525054606196637,0.6011931476337227,0.6531040395601078,0.6200963218006355,0.57962413096956,0.6046745312088413,0.6061070304669742,0.7488864664164749,0.699668572949318,0.8064358381564202,0.933441102005272,0.883250746802967,0.9165926846945384,1.1859830945413796,1.6289326759944591,2.2872208233119986,2.5404764958265558,1.6899507590909966,1.88774326220714,2.471043922567322,2.1847031393602205,3.033190056997542,2.031260283118774,1.8856879884601028,1.829667483268994,1.3055187722619805,1.56105923325557,1.51421794504503,1.3784709080301534,1.7037293665338196,1.237105664955985,1.0010694721706295,0.7984434045202035,0.8846179466954046,0.9504600675172838,0.8252377509319817,0.9368374845496297,0.7582984143715719,0.8358516282493371,0.7576915513455139,1.0292263235875703,1.2630097810664587,0.9195915606773067,1.1541557381710803,0.7826437657933557,1.0009667128318185,0.7550266111916463,0.6965484387197793,0.7124247312994656,0.7605115489643659,0.6522369514587908,1.0525348084130566,0.7540132334588655,0.7978377877072956,0.8382058050350358,0.6574260304335755,0.7016131186629139,0.657785516466141,0.6560486841877559,0.6653313105040978,0.6784926877067188,0.8664682002517079,0.8305314436713581,0.674363259673853,0.6484646469350291,0.7441223261177632,0.7384877321169013,0.6496895281549518,0.6487092569825069,0.699071557557357,0.645975637871022,0.733734754787885,0.6579367134581484,0.6750565550064721,0.8739892907832868,0.7199625303310035,0.7814507551521901,0.7824702169543405,0.7752235848390251,0.8415837497164032,0.787201025377034,0.6985103917241917,0.6732969388728908,0.6041058627420898,0.6186825758983883,0.6196604279967061,0.692778289478886,0.8237120990296072,0.8587659814255845,0.7267614342125147,0.7402430812280001,0.6862907829440217,0.7099686755624737,0.5659823664104358,0.6349882042102064,0.6667595248079848,0.8052781417344442,0.7400171603010621,0.6980624764321307,0.7165667394820167,0.7067507074325324,0.6973303501035901,0.743192224132289,0.6951008045778289,0.7241577311187212,0.907144720424498,0.8426804683111374,0.7151028402230687,0.6771427053410771,0.8595216808446313,0.8420141654564277,1.0552924186848385,0.7505042896878499,0.7266309280631057,0.7176725437567322,0.6677588175162006,0.6484920161976657,0.6018654576999217,0.6087412388372506,0.6816694960049328,0.7293801064105663,0.7574670320578232,0.8855340325257937,1.229284163189778,1.0579228292662817,0.7393828952781696,0.6944210583668805,0.6953693849096501,0.6542874414127524,0.681171351714606,0.6737378424863869,0.637189982129405,0.681500434751974,0.7195989650323715,0.9037122579253687,0.8864211221335396,1.0877205998639592,1.5541554167262523,1.4687998724518583,1.3477192832768197,0.9872226031348454,0.9464565872217815,0.7993692776451625,0.7629939252987853,0.6831049805039627,0.6341146096967577,0.6438107651366811,0.6370515441774125,0.6914693677306956,0.6743529593585443,1.1708164843265538,0.7013283414747986,0.763556911784042,0.7691618071282791,0.7291508329445948,0.8099338832928183,0.8542780456411266,1.0255275202912364,1.6209014467625105,1.2304578116252525,1.4308676572909895,1.0369361246526256,1.2969823693350366,1.168684124790475,1.0946378961871808,1.3422856234080909,0.9627109057297787,0.9208045930159289,0.9812746805045853,0.92348389577062,0.9211349624995977,0.8418114490460599,0.853025954714507,0.9101860309768022,0.9008783395482823,0.9357776021297803,1.0113261930000543,1.0039549976663136,1.0047031395182142,1.1669554432204032,1.1333834709059576,1.1480116894140646,1.2992741374102146,1.3986961561584608,1.4102976732281989,1.345026411102074,1.2490700468900333,1.0795138930761252,1.0188076709957035,1.0486743956258155,1.1857179849179595,1.4961028174002489,1.3370220715026184,1.1737993819969683,1.088822734208175,1.0072477800624877,0.923487604513926,1.1679022668982595,1.182280784835419,1.0520934532946962,1.1515392001792424,1.3629566256162713,1.2952977718301228,1.1984713869132495,1.5450347649872365,1.6168990638062002,1.4109765909687078,1.4103735946937845,1.0993144489164788,0.9528212995645404,0.9758025526088556,0.9066101210483236,0.9530613585500468,0.9568230914061285,1.0159306783398767,0.8948621140955423,0.9254485190272161,0.9387594331062309,0.9557609999576295,0.8960771288683607,0.9645225737701043,1.0548951870730359,1.0471168292294186,1.0369145070566892,1.0856072943965196,1.2981731356427297,1.1531519141021351,1.1095301581138426,1.0495851316167062,0.9863021529692186,0.9503700719608948,1.1048137774344575,0.9796093534245268,0.9816652482498811,0.9880443235429375,1.017576776799132,1.0258361624588772,1.0291109426556457,1.1503321381565277,1.2036016159235623,1.1489234138425577,1.2745944922928696,1.3589071963011237,1.4479026595550764,1.3819955856286856,1.2912837001197883,1.933673201709902,1.7935541832830213,1.2532645482001894,1.1682539064651833,1.0676479555429794,1.294090128769413,1.5431830713097936,1.0941142764852896,1.130143191531974,1.5027902883600956,1.5210156850109633,0.8668012496897924,0.8817138377982712,0.75765838081489,0.9712711359258795,0.9479791909427043,1.0569789676845531,0.976170341337565,0.9292798696435413,1.0712922551735244,0.9983588660212785,0.9327793463498651,0.9184450576700006,1.0841388321384389,1.0253940359301044,0.9404841598235983,1.0938211747378987,1.427202251202319],[1.8429114696174815,1.5128168187182325,0.716394881550129,0.3590114378940644,0.6366846006309336,0.44198556472952066,0.388733177559676,0.40149728060419143,0.404888253225452,0.3666758651062052,0.38927163350047433,0.4485883117844296,0.4072959408663002,0.40209879753349487,0.49945034234669294,0.4424426134246545,0.4992103758298697,0.5307769665196396,0.6186202140928806,0.6241037736308749,0.6899170033759426,0.8372683817359656,0.8947694792130374,0.9631246390835222,0.8227805173316706,0.7268635009083331,0.6361174705063644,0.5499483645114016,0.5138762323061128,0.45100194316168146,0.5424920796429319,0.45361082076923614,0.48839028270195295,0.5324311732766811,0.4737651993013447,0.5151205279671319,0.45958240240181486,0.5918809565959193,0.5472508124263867,0.6849843809965984,0.741893733726733,0.7078400318418034,0.7530796949286085,1.1329404783120458,1.7086022304963093,2.4421794542935933,2.7257901544036023,1.6899353382102664,1.8768540913593719,2.5074855319420686,2.1050614424247382,3.1225729821403387,2.034264522950131,1.8488470694944243,1.7383954589577946,1.2483186211725805,1.613581401495493,1.377758891311419,1.1876851311217012,1.818886437050401,1.1811318794378425,0.8781601473552343,0.6868472995352621,0.785633238786083,0.7980639524417621,0.6834156620439792,0.8010656110111948,0.6736825854205428,0.7686501809226112,0.7055980724721806,0.9397033581568099,1.2180718475005337,0.8909021138511979,1.1080287122638188,0.7011790024210791,0.95328517815457,0.703550314530686,0.638098128315946,0.6389758082973896,0.6882104425268418,0.5479865098105818,0.8643308871725849,0.6958944898790166,0.6864925319680295,0.7630418507058083,0.5025086856636408,0.5637379721558349,0.5575083845213848,0.5588411458595856,0.5925579348372739,0.607766983211366,0.7584867024872217,0.7415489717422111,0.5704600676114687,0.5245060732370076,0.6426522389026927,0.6567088519606709,0.5197576096729519,0.452226992658794,0.4742008021896071,0.44200419114141715,0.5814470739186184,0.4256568965324819,0.4832888599950946,0.547143930704451,0.56590711217006,0.5828680916339809,0.6038926466864993,0.5389733469774752,0.5050808328024843,0.4486171128701285,0.4547608913126708,0.40786182007469296,0.4099507435774518,0.4097271010589985,0.4538618536721572,0.5298025042273015,0.7801995253336141,0.6929805541236167,0.5882237016020245,0.6267733317783771,0.5667232298796395,0.5690537124953295,0.38284240374168027,0.3797487345801237,0.41200957868180144,0.45547921809775427,0.4373750025654831,0.4801099971584561,0.492719129456516,0.5626329222078716,0.5731595536935554,0.5677489131062491,0.4584297830811819,0.517729286832605,0.612875204375068,0.6216071033667826,0.506588247514984,0.5163650977862035,0.7291608268273827,0.8365626694426817,0.9683755454050536,0.6085389608530191,0.5597324803699347,0.5687642002697724,0.5064698884472664,0.47415234608132256,0.42623673596055256,0.39712046867249223,0.44434120641679614,0.44335029406051374,0.444161501167869,0.6135012798996902,0.9690911583177841,0.8388422877232796,0.4449337563304819,0.4034617904101361,0.4378330994156772,0.41838068236868775,0.4408952606065185,0.552110812144273,0.452936329190044,0.5071749552825364,0.5379290973773242,0.6925891679503903,0.780676951184156,0.8958069238088022,1.436886664971031,1.2607543632072185,1.1286612465837789,0.766222556274471,0.6947258430897387,0.5713789712001911,0.5188183914078061,0.4591044843489031,0.42283793390418534,0.469564586354181,0.4729821386321387,0.4967311439071025,0.47190700102874483,0.9293633636316913,0.47503110691229516,0.5591407981252818,0.6043676209036793,0.5748343354642007,0.6687722158334042,0.729827711607337,0.9185528153007341,1.588880576731589,1.1546736481864062,1.3685085913218926,0.9219772931462153,1.2005694683975432,1.0373477193251437,0.9333636150541104,1.1791545654458424,0.8600809165696894,0.8569022932266317,0.86860724048496,0.7921726276512129,0.7383083071340534,0.6047908650748772,0.5649743993625582,0.6400559481693179,0.6289405633441999,0.7242440249029161,0.7791572492187785,0.7528929699791088,0.8270766791616244,1.0501654304525359,1.0034313293232968,1.0410568050173246,1.2898289166376735,1.3578636489744342,1.3349517535443582,1.1542385233910823,1.175804087602548,0.8498635100389594,0.7737552498564988,0.8422874088597038,0.8220007189594553,1.4552560669736483,1.0862354108574463,1.2354014222375267,0.9673447953013973,0.7985847010177116,0.8526384433861071,1.0419574562281542,0.9921799589648157,0.9389488231681776,0.9559242181467176,1.202894549906527,1.1458442480949436,1.0672226512567844,1.5841331119440265,1.5666496716998841,1.2630287906897817,1.461116987979134,0.960927251088734,0.7993916192655602,0.8635200557644424,0.7810201766459738,0.8579215713685133,0.8369347735015341,1.0217178120932255,0.8209882897997202,0.7215062887184238,0.8582666603492825,0.8789514166306646,0.7151394358039801,0.8591276727421889,1.0138538583408698,0.950300477173084,0.8979456831957432,1.0456347609363135,1.346656679096927,1.0810122242802045,0.9968099537934626,0.8724001175017457,0.7533663021243128,0.6910950603267785,0.7295369240337272,0.7261549377483358,0.7105886607018475,0.7156381707407689,0.7711179803293703,0.7666919614242249,0.7852000354441556,0.964449860899352,1.0260645055543227,0.9118427008174902,1.1045951756671046,1.1826269480786815,1.3196298035984693,1.210521405207559,1.0874200540472172,1.8204539055634945,1.6587696930192948,1.0121636975869346,0.9432800493949831,0.7965530728159442,1.0995922695466656,1.2512019599138713,0.7936826649362136,0.9899197577533719,1.4866805782903743,1.5397377409938438,0.8560915877344221,0.719166556776781,0.6189982801044261,0.8602900551822116,0.71371027278178,0.7975902000844938,0.6232877706058337,0.6314294322021912,0.8534597645147065,0.5800185681158293,0.4351742996362915,0.5071064080760095,0.6054030200683026,0.5217184850149673,0.6637441017989874,1.1561184941272185,1.3863488072283634],[1.8609785362690403,1.5165917010833176,0.7977168636222353,0.36834457138829324,0.6299288561324747,0.5309285239674864,0.5470332483409117,0.5572080449010675,0.5664194621151595,0.5705176894194824,0.5910967216946624,0.6082190683771505,0.6183599509649623,0.604839955416932,0.7141509524507045,0.6539705146040629,0.7111355177575834,0.7185834002726703,0.8116752141177983,0.802519441480788,0.8587224658491646,0.9525428932149136,1.0395264793574899,1.0961813984093731,0.9472649084931605,0.8811783570790283,0.7896069658815863,0.729465868461806,0.7093675380372136,0.6829699769698849,0.712817300745252,0.6706104169531669,0.6779272768682814,0.7362403345768104,0.7101979713921834,0.7500663472483818,0.6744840147711505,0.7159183920825385,0.7415987564778799,0.8234245338743821,0.8251407638023379,0.8277822661475382,0.8687781333311434,1.2561228666286726,1.8360200861186153,2.5891418782248046,2.952849740777418,1.8661473621162994,2.0034031998887434,2.711719544628099,2.2978124993924802,3.3051002325419905,2.2124995704981143,1.9771775365328585,1.7202117653001163,1.4372977809928378,1.776916316344155,1.4185953837039995,1.1957236079801117,2.088290292481975,1.3168397319598506,1.0238835924184877,0.8661667703525843,0.9369675559135923,0.9664223797745095,0.8622035589218813,0.9445990496615564,0.8516326206239426,0.9052707043839957,0.8812299844125902,1.0902111974639896,1.354401889068428,1.0333914156909485,1.2689492557184765,0.8867208312197465,1.0407072417687917,0.9071065798236098,0.8491414748689522,0.8403498046963499,0.8826887155020923,0.7413428023414266,0.919287359049944,0.912347530945047,0.9084153782301267,0.9597767424610908,0.6887789951566996,0.7438814963580199,0.7634502316813977,0.7767548620622047,0.8009384294732022,0.7989280089488034,0.8558796489423115,0.8512542223331799,0.7349019725517529,0.7065149370060848,0.7847572395111945,0.8204616674278186,0.7160975304929995,0.6613673091443114,0.656348877628991,0.6562372694895157,0.738504369965976,0.624615696370344,0.6380741121419873,0.625426750544749,0.657664185873082,0.6943038332352546,0.7071479867463035,0.6580815752900581,0.6690766437870345,0.5540474805328873,0.6177550325759685,0.5789917464108246,0.5948712749536589,0.6121865034479577,0.6413276533193988,0.7067734439009844,0.9177731536447126,0.8701098680109183,0.7665611883823911,0.8036415386436061,0.737369637055063,0.7189891034890276,0.5949449281517478,0.5736959080650699,0.5599101441611681,0.5790899206750152,0.5680072605696085,0.6092341553549551,0.6546903789348089,0.6955816490880218,0.7022732452854539,0.6970420944720662,0.6187690204895996,0.6474746582592006,0.6945693206263919,0.6777581947200468,0.6163399049042282,0.662249034143451,0.8979954656599948,0.9784652123816691,1.0886380423981912,0.7980858986436086,0.7049705767777612,0.7292618326840807,0.6880695857814427,0.6562939737778375,0.6401052362297418,0.6121272321839782,0.6138558301172011,0.5947290663351767,0.6036934903157886,0.7099604465621049,1.0273053255069517,0.94193180710903,0.6310786399422555,0.6109132762526752,0.6124153389661976,0.6185959481894469,0.629011589269454,0.7064461804728097,0.6501380008111296,0.6841079841801707,0.7003540127692811,0.8783507982455451,0.9450535801448884,1.043682841976557,1.5933018055810135,1.3539677930417604,1.1706075420184796,0.8609199988778967,0.7909806233788004,0.7087452523597846,0.6751660437081737,0.6357376867407095,0.6202275642871872,0.6629051836875159,0.6703495523455855,0.6530315401583138,0.6604642057194486,1.0959244076759282,0.6486134819638891,0.7501253888746982,0.7812958863440151,0.7730437148810166,0.8693671694918746,0.8954617027352711,1.137123328551375,1.7516030457379814,1.3453764057055186,1.542161890604827,1.0250551089967959,1.2369963772214003,1.070219036029495,1.119371236066575,1.3892949756556052,1.0275969133907683,1.0119131733113371,0.9908789420935838,0.8986110646557074,0.8291085983680994,0.6621885670822882,0.61494564202708,0.6719357747884224,0.6338239516752661,0.6637086313346273,0.7392716070625813,0.7291090899804162,0.7510713884233973,0.9859463143354388,0.9663986927999602,0.993162430807481,1.2273449720502876,1.341521424739914,1.3429119514761227,1.194750133821199,1.158927962626268,0.8993701007235264,0.7823667397264638,0.8394257238282172,0.9341647077560935,1.482220788674353,1.2026088711769742,1.1547195211789336,0.9912273443313246,0.8848693208204995,0.9101517169227217,1.2155129745929758,1.1538385295460003,1.053883763169623,1.1442848238641854,1.4002631503161713,1.3059379777901288,1.2387857258571215,1.737395834005102,1.7618111792163134,1.428676740134986,1.571823002451075,1.0852197974126516,0.9816908969831402,1.043365046881423,0.8616250209729746,0.9589591725923969,0.9240860567448211,1.0881006013789327,0.8816265162856393,0.7548748169055423,0.8429236133833008,0.8565475034908455,0.667020380054129,0.773990062971489,0.9212085036162065,0.8602528440422477,0.816655088772289,0.9387478934580635,1.2533473795715795,0.9994443773668187,0.9133965668729066,0.803423073593958,0.7076803689045353,0.6824064761524418,0.8097610290656712,0.724981245975649,0.7022843973208788,0.7770995228451202,0.8387446783718249,0.8036656644924975,0.8633637120701929,1.092210790495383,1.113866112874339,0.9787116855252338,1.233259084295777,1.3197034606803137,1.3875792562714124,1.2764038725966182,1.0967256547411728,1.906175622175437,1.6697109939880188,1.0988360920119715,1.0393851681045096,0.8288547731097086,1.1132455268443289,1.364064455941966,0.8408833556671395,0.9494696754732276,1.3282345147966745,1.518912311840613,0.8241762038251195,0.792041176586926,0.6462650718351493,0.821969635066745,0.7459406209310658,0.8081249076188137,0.5766368550779679,0.6749452483558854,0.8567633524885503,0.62834820677386,0.541041686591404,0.49334574241657303,0.6188364532094417,0.5405794437861572,0.7139461146443447,1.2957905560244343,1.522700973266568],[1.720410340282861,1.4392929460857264,0.8996180520817024,0.6683062172268504,0.8533807135768896,0.9286200900170632,1.1148031253060167,1.1638297261410693,1.2393889910609288,1.3711513909159088,1.4097773910247287,1.4343966768531602,1.4870952542707374,1.4960393544968813,1.6227832472213322,1.5760750624675703,1.6129182014057495,1.615756350648006,1.6034459059149964,1.6193637592289736,1.5141424006086222,1.3782174763100463,1.445533212651621,1.474240548042124,1.4942920731107068,1.5196468676881034,1.5584343024484548,1.577388840626461,1.597915176447355,1.5640009835723254,1.6476320091108276,1.5406256492029275,1.5621131847585736,1.6241517748180538,1.5872087791626202,1.608907667026478,1.5531937723985192,1.5390054444797825,1.5733610395155784,1.5040356006494273,1.488053802037528,1.491781640044724,1.529638110459902,2.0172335473339764,2.5752904923842266,3.274719095292104,3.5678073168853386,2.440171806804262,2.512893984966119,3.0629151475204743,2.618387844503964,3.8784389097861,2.863509425101419,2.4291296029224476,1.6552071188910995,2.198079913511415,2.676783890120579,1.6507071310505106,1.6622053460645954,2.859615826598426,2.196021045275925,1.871720683099709,1.695087355941487,1.6731321896445785,1.7049977158843477,1.6558892495627584,1.654980802620036,1.6939855211943644,1.7619315075286373,1.6761736963512068,1.7496818173657684,1.8826094120369008,1.7492087198286184,1.900344284701895,1.6910617916887465,1.846740226224082,1.7390459261164832,1.7155982309247109,1.705619653503182,1.6853702896446288,1.5776401674810805,1.7450536978417608,1.7881013923866476,1.5314958329725308,1.6123352743782209,1.5386092249849062,1.5567538238258976,1.5983417985232864,1.649760012370425,1.6547053923977462,1.6777285670963524,1.7135743508735137,1.7243520675062207,1.6249079861985738,1.5895356933901854,1.6185818464063644,1.5615774943039369,1.5760129099997857,1.5181024818815907,1.449851484788739,1.4898344898242855,1.460201739775115,1.4583662169785243,1.2993614923085621,1.4127119270897956,1.182821474022439,1.1572297966701013,1.0959847903101227,1.0191405363836383,1.2230292885079495,1.055002232700267,1.205623939310276,1.1994725209270336,1.2763187747061395,1.4874415459040742,1.5085746888269775,1.5579917251051687,1.821423380548182,1.6206768688417348,1.6184527551901076,1.648342152967098,1.5714134040519376,1.6393004710676506,1.4530508973419811,1.3077412406255773,1.2160487132759334,1.0496521137472468,1.0918718797185194,1.0433077752502773,1.1637314737062017,0.9872980086008256,0.990523103424252,1.113354704914483,1.2262718754241841,1.1985457336445318,1.341484833532626,1.0142469033781742,1.1137414122493265,1.231228015060821,1.8378087210974592,1.8795698815500825,1.857789054673718,1.617878403781567,1.492431454375323,1.4997308601938688,1.5431016238241861,1.4982699030681763,1.453956763034504,1.371057244575659,1.3181448879316633,1.2315244480204701,1.2642096775815619,1.2891376012466995,1.5421041015930594,1.5834899846041446,1.3595737974910422,1.3987346720553981,1.3131080352455002,1.4397780779889757,1.3438898174655445,1.415142679606747,1.5084912024563624,1.5512186106639185,1.5240511598561108,1.613218561111922,1.6189452592405018,1.6060770697202091,1.9964246738963591,1.69573583124402,1.650030834575112,1.412457624445913,1.5142708159931928,1.4829735207157446,1.511425034247343,1.4879061293911189,1.4416532294460411,1.4794058408782098,1.4896151037456171,1.5203382373103087,1.4821981828531663,1.940025988436009,1.3637246369275133,1.4231323023988767,1.375054633857302,1.425496028455004,1.6526074206571024,1.7339681587817044,1.8883755299523612,2.4252887330363815,1.9033944568771382,1.9995531555790425,1.5718677014724711,1.6129901838058796,1.4478273086435052,1.4140967160262627,1.511139479392799,1.0984557573926603,1.0425135420043683,0.9770878767118051,0.9916754324501595,0.8544437100930848,0.8338822638699669,0.8358027354023141,0.7205199614583974,0.7148411691856095,0.8208617690261537,0.7702871645195156,0.7229214862241575,0.8451026867693604,1.0179007938629356,0.9342093672841831,0.9791845766882848,1.2434987621059672,1.2833783848404015,1.235458975157613,1.0475838476792227,1.0929728321457606,0.8055911714126454,0.713472059115944,0.7717511490275911,0.7990198841279892,1.4885691888890236,1.033633787549353,1.0676627233530436,0.8674437848270543,0.8121443500394595,0.9003868838224147,1.084670719061401,0.9876169818019719,0.9322771936033687,1.0739493731135188,1.246410960054911,1.1506414460484378,1.1027447752339556,1.5900865201387366,1.56515114788203,1.2931337047293645,1.4411505785466519,1.002027927414048,1.0217971722952461,1.0252884156143813,0.9008503365783312,1.049758172785091,1.0978768956704115,1.2721900812983082,1.0095521186450351,0.926494241166118,1.13985493068483,1.112695292853443,0.8965613845769518,1.0254820497637427,1.163694743089246,1.0349678109492846,0.9648352292626405,1.1012457026126248,1.3450022064829685,1.0667388871467682,0.9741342429453292,0.8368237358874914,0.765798331531591,0.7737564970825599,0.8254486361331805,0.6859834572968101,0.6906836814223177,0.741152799895768,0.7250597627707825,0.7090853995623158,0.7729185152751682,0.9460164502475548,0.9670877556225205,0.8855676633313763,1.1010027981122945,1.1902661325866495,1.3403095884591822,1.2347514064930338,1.1457884751303984,1.921024090083794,1.7984350022250513,1.066781769438034,0.9017292471329381,0.7347131736157073,0.9681303246266364,1.088399258670657,0.7806384514850154,1.0696804944414962,1.5394348498846988,1.5364736013242364,0.9217233682070037,0.8708647987361264,0.8997750689388343,0.9460690669055084,0.9944068993066302,1.0140971621213102,1.0390635490409303,0.9847387714379395,1.043238413911958,0.9910519197279691,1.0268388041020744,0.81099243534529,0.9139740069463711,0.9450972696893092,1.0581697807944062,1.4912991377000844,1.7782099622055705],[1.6287245616876818,1.3378322321611686,0.9044489081297771,0.4789959726488053,0.7780690798715546,0.6665773691174735,0.6149693101512493,0.6020659125435334,0.566722276715457,0.4830750919491308,0.4801884679836785,0.5218455596108558,0.47080780404024697,0.44307899549345703,0.5293831099444382,0.4689889262355106,0.5114431381944191,0.5229006583256023,0.609224362318521,0.6140215203562489,0.6907025112637228,0.8444372144270978,0.8859252805131836,0.9444757468105694,0.8261585582224888,0.7298992374738665,0.6265662696415444,0.5380804550575629,0.5140880272903481,0.4880726217974689,0.525391809902507,0.49623951543484557,0.5176367212612532,0.5457250981286832,0.5048519350099538,0.5298914226222331,0.484191966175591,0.5755253172700484,0.5309702165873698,0.6614137386553558,0.7293779381199957,0.692992551880177,0.736989360778723,1.0994414669111685,1.6733985626418033,2.4123948709447816,2.6377534549752473,1.6156162380817676,1.8207983392140425,2.3939458174407746,1.9852210450032999,3.0843113182216486,1.9912663364531449,1.8123070702103785,1.7101409722510772,1.2025289776042876,1.6051605794679358,1.367483464070888,1.187468668839634,1.7449624266133101,1.146539523208586,0.8649872572534171,0.6669327602830789,0.7673402276752925,0.7805632548613964,0.6750240132384671,0.7901088279033889,0.6477419403822758,0.7258227233576039,0.6741714677440648,0.9176060892645383,1.1653256878201927,0.840582341414141,1.0741220808400065,0.6652942982344113,0.9120710863403816,0.6729841907281285,0.6089752717750935,0.6198507230575088,0.6795473149816695,0.5441460771778094,0.8182067572277466,0.7455835260968094,0.6774876255940179,0.7666962018550353,0.5045370195021516,0.5498378163221423,0.5674325007747122,0.5550386722095723,0.6010244835802798,0.590748483719647,0.7062485671348038,0.7017083919916389,0.5628127767328193,0.5348254445909512,0.6369880386128809,0.6784144063659945,0.556558690088348,0.525705063297007,0.5793994894580867,0.5237521324729882,0.6797377576501613,0.48392825958719876,0.5716160632097471,0.5662451982772132,0.6277971333910253,0.6626542996111152,0.6632665999992543,0.6457401087810982,0.651397298195459,0.5765445018427279,0.5754941672650336,0.559851091342491,0.5099669545007807,0.45920497476066907,0.47772435658320406,0.5351356805069094,0.7782651795234762,0.682090991374714,0.5772240759407441,0.6174961381094304,0.576241686209739,0.5681851167413225,0.43540350239371467,0.5119247012697108,0.5008410622706034,0.6150052201236179,0.5383918366717864,0.5955392972409091,0.5767293695554948,0.6346460586657328,0.6299542028393494,0.5879154033173631,0.5172667969170246,0.5529345523804834,0.6236510083586843,0.6188960604453716,0.524434715497182,0.5301773557974123,0.768776427112927,0.8636811359848757,0.9432762054933104,0.5858311946029062,0.5405166777419919,0.5508502310821691,0.5070273132765327,0.485691282207092,0.4811824607404897,0.48655447609712277,0.5560066683396865,0.5827168964535788,0.6008014602434418,0.7063743407421805,1.0195894368330856,0.9054222507109158,0.5797684539210737,0.5235574616987956,0.5575927851542235,0.4925223456749329,0.5307628168235339,0.599820546547817,0.4749971366968692,0.5146912318602398,0.5366008907731616,0.706157118335609,0.8225461088351997,0.9180978111232644,1.4374569383599138,1.26808205052238,1.1767039230039231,0.8063547715609585,0.7298763345505171,0.5911576824171435,0.5418283734711811,0.47988463032975004,0.47399445344035934,0.5101713086569772,0.5324426937767577,0.5080256726901373,0.5089416071848714,0.9642118750132198,0.523782047555278,0.6060639421433055,0.6243214404530893,0.6202392856835677,0.7048329534460606,0.747255370789507,0.9444968302104496,1.648132436835501,1.1867157205867571,1.4045598109495645,0.9539821031608496,1.190986715261761,1.01967868674371,0.9171247490201782,1.1556471095675382,0.8495666768815056,0.8765546711210952,0.8948344704369247,0.8728382070924461,0.7837346153567349,0.6903912392515889,0.6540403450966884,0.6743220518167685,0.6445847272166562,0.7024772590176508,0.7267437369272302,0.6929705914286551,0.7517740043940127,0.9310171500311304,0.877976155359269,0.905124348580056,1.1278200456545726,1.1811058522986648,1.1573405956445912,0.9946507390467817,1.0310601640642725,0.7860962420312605,0.7040854340502515,0.7461602533757785,0.7687828565360333,1.351866092160231,0.9800287216983656,1.1439410754196155,0.8799264149742243,0.7684900592102971,0.8724792592745401,1.044128238433424,0.9639406697659345,0.9249859644346607,0.9755521278747319,1.1338974485837752,1.0748864749304086,1.0306152564345068,1.5611918464696266,1.446201107566303,1.1966974671567874,1.3989968326263906,0.9509811320500271,0.8388882076723031,0.8959322226722566,0.8192796948079935,0.9509633112924231,0.9753815098536545,1.1528863402624685,0.9142406444159321,0.8043427595605347,0.9649962629519279,0.9547238918101744,0.74041773868553,0.8515655782892418,0.9771045433231591,0.8814757485370148,0.8343268552430996,0.9473404422843281,1.2278717261583714,0.9464009023730248,0.8665928166478136,0.7734677754836968,0.6994202948698488,0.687191430591033,0.7341863386830193,0.6755534611921742,0.6693800972116698,0.715894487120187,0.7265742407027689,0.7073650028785524,0.762235442556966,0.9118916498701635,0.9296963046319853,0.8654668594107391,1.053862039028937,1.1241121489818136,1.2658155947859748,1.1857428006702206,1.0884211284630716,1.8137562668553733,1.717008842324076,0.992234214292381,0.8293673102025688,0.7322267298305023,0.9335829121545617,1.0875948165453262,0.7508867365252903,0.9709826237469462,1.5185991338614735,1.5710846323496808,0.9560902635463391,0.7946112904104253,0.729416454054533,0.8542392376888125,0.8294663379075766,0.8918559511836679,0.6279876693289931,0.8089158441567512,0.972061112909129,0.7600388345804461,0.6602192677708122,0.5780932215316332,0.6664611746170467,0.647655712827683,0.8320275344820856,1.4571659932058307,1.6443829414179318],[1.972665262110513,1.6186856828333684,1.1632975550500166,0.7114574503406511,0.8462332707559064,0.8339895524434251,0.8351409943843061,0.8401709595110372,0.8202741386145297,0.8432637671416378,0.8680136029476234,0.8352697664263858,0.8781055717377808,0.9010733222184124,0.9687164760936134,0.9194209424938092,0.9810315911115457,1.0399214305780402,1.149190813332075,1.104188234365243,1.2372920212979404,1.3588957667336592,1.4050745233749176,1.4122864977435896,1.242776155071531,1.2240176360600683,1.0503246209226151,1.0066334558822037,0.9888877254492818,0.9362661820539864,0.9792003761122996,0.9334462007092827,0.9581709623920334,1.0149916386226987,0.9897691634423539,1.033141520002015,0.9082998609125138,0.9469849143516816,0.8924926569763171,0.9544379668151982,0.9811190352677835,1.1016007559104495,1.080057914751785,1.230737865657082,1.6893183260311833,2.4079006677895585,2.7211955527433855,1.7901563507231657,1.9699429870071057,2.6483264622259965,2.277776615956276,3.23057016752187,2.1453651082938436,2.0356687929018937,2.013286577539765,1.4229822289435967,1.628986212970442,1.7636730956263516,1.440345874745404,1.8094114213293782,1.2664317074182523,1.1717918967565883,1.1066245404301818,1.2147638833179866,1.2294610941644166,1.1362286771704928,1.2847288653715654,1.146546843798431,1.1821775418533091,1.1893925088924744,1.4075599351546901,1.6227940135516647,1.312523903448548,1.5406095253723706,1.1667708790218556,1.2740701010707998,1.1459023599525981,1.0881029933472426,1.0559235941340006,1.077475090861756,0.9483869471252467,0.9762936909861814,0.9631657166687208,1.037709993050923,1.0536988791453399,0.8439672162458355,0.9420557352397034,0.9900317368663025,1.0249303790138284,1.0666125628944239,1.0766375213761654,1.0822000491481978,1.0894139476285856,1.0259503869610247,0.9914496337928721,1.039824136398177,1.0819241910132755,0.9412395208995332,0.8786715790636922,0.8718044240389287,0.8906093480474043,0.9305431133769998,0.8248643930414032,0.8393711755599184,0.7055697797258897,0.8097379155961155,0.8672146118857629,0.8926536484743712,0.9138412195975166,0.9231015426628607,0.8154592668362765,0.8256097206237132,0.8411155173215037,0.827074767624884,0.8470785640810571,0.9017649143090939,1.0216281314143163,1.0568759516051758,1.2198396058384355,1.1151939203632544,1.1430070389583546,1.0536039466067733,1.0141325996608732,0.8634302172483906,0.8048975879892646,0.7675427076251421,0.8599951431149983,0.81054220776908,0.8513467908919675,0.8474515470821437,0.9152935317945606,0.8961248735043764,0.857012005135024,0.7611733448676732,0.7848304630239014,0.8134382115629363,0.8765924550523696,0.7273918751106071,0.7764739983176886,0.8061731953771818,0.7905293134372329,0.9706289571504865,0.8877403781189084,0.8473945554202589,0.863882953981607,0.8821640556354242,0.8569662566122468,0.8586937774342899,0.825592634766975,0.8462270769407636,0.835411538844035,0.8469849897447684,0.9284376339100217,1.1266716342421146,1.0558620222115482,0.870593777032578,0.846288368593777,0.8450018474703405,0.8428733220917681,0.8032218857128439,0.8163455356042506,0.7868777295793783,0.7110118577876926,0.7402992521050655,0.798285709808473,0.8255812236118025,1.0176222641057426,1.5677917908696328,1.4144464238643553,1.2049351106813844,0.9304706534296645,0.7944750827669309,0.7218049292694886,0.7018741342534265,0.7125927801573555,0.7456385488809759,0.8511131593532367,0.8145620308077635,0.7368562173779294,0.731500801091763,1.0336402245257381,0.737309114978072,0.8063165523795182,0.8116570851686653,0.7887373321382762,0.8072833977202354,0.8348475355903814,1.0281786064553782,1.612877790397639,1.2747926693449427,1.5063276346153338,1.0173931723489262,1.2865648814005226,1.1466920005216357,1.2532129280024362,1.5713850936371963,1.2037778988947005,1.2002116336200752,1.217048249387858,1.1323943301941046,1.0930540180523898,0.9670458310390434,0.9274244615093344,0.9798572443865152,0.9395294671564128,0.8815167562758993,0.9608269578675136,0.9627278644234394,0.8948068710443061,1.0097840288055717,1.0220616012429522,1.0248062526776556,1.124049443127887,1.241554301803516,1.3043407453142508,1.262647389493956,1.1801618222175272,1.147016115171068,1.0372724974111414,1.0360283986739929,1.2716535007572891,1.4855349203719213,1.4565879503820591,1.2123221993188422,1.1340381922999614,1.1356900014241174,1.1427254588379323,1.4630412424265635,1.3875123040287676,1.25438264816652,1.3960681142242237,1.5891776883279203,1.478364824414751,1.4238702048282885,1.8261080567262034,1.8316255226134703,1.6272333549483557,1.6206219657838177,1.3047885863522506,1.211822790036624,1.2604469574419843,1.09995344023339,1.2105470718652018,1.2378393496849311,1.3329228465015137,1.135608438134528,1.0534497140172372,1.0989637940588708,1.0715455336904003,0.9100107570643223,0.9258994062274561,0.9801421940242089,0.919015363219416,0.9342190331331172,0.9312706308487134,1.1441046608468808,0.9820046212381934,0.9560291658979433,0.9418496617784275,0.9382305743569761,0.9582084576415273,1.1424475014429494,0.9923183384435083,0.9646907518434327,1.0775743438260865,1.1043217374311036,1.0675214712688195,1.1262515018939918,1.3006848968285212,1.319287365895657,1.2458877452822499,1.4340676173527256,1.561243325324648,1.5869716802126574,1.5160646278828862,1.346422511211306,2.0607490824404278,1.8658562230676776,1.3722050334221891,1.2377559913379395,1.0814091397278536,1.1588861154970884,1.489837750170044,1.1196102109929689,1.1785324132961843,1.4149857683875164,1.6121369749955319,1.0111964956768889,1.0514247839183957,0.8989738733150663,0.9703774104806413,0.9657238374283779,0.9973249318846514,0.7759145698196676,0.9331429983469052,1.0258479371943487,0.9137879310692151,0.854016953226726,0.6818628234260105,0.8199149684576998,0.8289521433449408,0.9747942855236263,1.6256412489403997,1.81864485431274],[1.531389914448747,1.2354930208091788,0.8971844983843972,0.5061673392551949,0.7457458673060013,0.8639976394650234,0.9146287096049548,1.003707493967623,1.1347985904728526,1.2150241224250693,1.2969892996414787,1.2023429314560823,1.2094890932379363,1.331736661889374,1.3784591151548964,1.2566261874177365,1.2551753058320927,1.2726864797769284,1.2287535919005141,1.170529107768884,1.2166152989966634,1.2416908512457099,1.2497459100809531,1.2101320110176015,1.0945185378177806,1.130753099288787,1.0318936087217345,1.0809763785005035,1.1526532995995888,1.1517810668484543,1.2786428826685816,1.2056597011796597,1.2695676402946992,1.2716072416676414,1.200632761893089,1.1992633075030246,1.0802316165267907,1.0322430445324553,0.9129808190401185,0.9530162429740187,0.9309809377831775,1.0483411070317805,1.0744003826496509,1.4838434607943078,2.0841558040839874,2.9357164255915684,3.2564512410710624,2.097559805158594,2.2614191544248965,2.9635865445949623,2.4664251658511476,3.6735975020778167,2.503788081299976,2.241991173190964,1.862682659340563,1.626364764061271,1.9165835343528264,1.7049257217396985,1.4193140593734745,1.9978887636366691,1.3771216378280213,1.2342383974875533,1.2115998439071147,1.1898118552408534,1.2142743903859459,1.1817190698234654,1.3721343717122902,1.3013638189960988,1.3513413277240105,1.4787020669259074,1.6857265032644995,1.9164913788194047,1.6094484930002033,1.692420758853209,1.4167347330571318,1.4647944717527803,1.2859325325189639,1.2600756212155837,1.1867189836542777,1.1392983664250227,1.013569421656919,1.0242436281157552,1.0239124001168236,0.968684171641369,1.0284949658593512,0.9024965947089385,0.9752615934302672,1.0872106052694355,1.1494581084173239,1.2275708010466693,1.3023043627746682,1.3253230307431616,1.3829091545452115,1.3695537677020635,1.3421984946594079,1.4699123529275175,1.5132041658450208,1.3009543601811042,1.2350290214558433,1.1894634423601376,1.1476895425618185,1.0917100537226183,0.9727900629231355,0.9035554372364446,0.8142345121496103,0.8067240690761068,0.7903399445247573,0.7905292661482402,0.720168926649304,0.740544147495641,0.7111551854398981,0.7690824181818201,0.8852487644266617,0.8592258169365449,1.06200618076449,1.04750831205274,1.175262200790317,1.0891125344350667,1.2533762216110844,1.3327234394464944,1.4331580536511428,1.4242338160149037,1.295854332181244,1.0964856770512361,0.973417294725725,0.7279396144657987,0.7243296766113593,0.7047572758538647,0.6809875247707303,0.7668528388856649,0.7870593739030844,0.7976616281687897,0.9517842954585108,0.8284164096928477,0.896301955515754,0.8762297922246036,0.8208142737701555,0.7510684433539503,0.7505277173575664,1.0512516446267697,1.0613691474385107,1.1103608867522274,0.8415676925751748,0.8248593442109189,0.8279874394468477,0.9534599781085613,0.9432598378156436,0.9971816117774308,0.9085830529856345,0.9827461623400222,0.9373032941771233,1.0681086696090396,1.032702551681307,1.3041248755788464,1.2897142732125568,1.1029202400260962,1.0873530887262506,0.9875674534879546,1.0220935324999472,0.8334662164070488,0.9151499112777409,0.863948978105633,0.8121591235669504,0.836442350338101,1.0504115323406085,1.1869028748767498,1.382207108608535,2.0058933116662008,1.760833428797633,1.5450139350970196,1.202479124004973,1.0093148780919343,0.903541786380466,0.8369123367451361,0.8267910329951738,0.8380438827597333,0.949411831139988,0.910025766851706,0.8815784725535999,0.8496316465405434,1.1958156062254568,0.807547352886581,0.9569918323826557,1.0002213849252157,1.0181011200972896,1.1056652457721037,1.0880042396412506,1.4040975699656224,2.0314442616860386,1.6839906112901344,1.9045712677331785,1.407380120999906,1.6301107116244107,1.4457204684178269,1.4626953455342786,1.6430852911553,1.1496220165121762,1.0505800320075425,0.9990436588184145,0.8897570971244124,0.8372337731043671,0.7473574236214503,0.7038754549728786,0.7035592790584063,0.6916999802413704,0.7722962798108465,0.7889338927475195,0.7433908060598274,0.790447469933261,0.9864003346497117,0.9107754617822057,0.927633354480525,1.1640095249913829,1.1981145961955453,1.1703058743913974,1.036173406992504,1.0236009316857853,0.8293406148199555,0.7384485320064521,0.7652020023613347,0.8989219523991017,1.2992892488633143,1.1596545339301723,1.0861431969469495,0.9545964336227414,0.9143926617064124,0.9614657327390862,1.224694982104559,1.1521700684792056,1.0227807759924414,1.16960935562893,1.3827731095358078,1.25325707312732,1.198754752554163,1.7062014123989395,1.6708313952569154,1.447591616785992,1.4803267644640543,1.070550481747148,1.0017502697202179,1.0580273653526877,0.9003481082745549,1.0425906639898863,1.1133982966735478,1.270622726202401,0.9751692028976581,0.872541060142706,1.0762423501095202,1.0387649502186809,0.8162870588063706,0.938724892989946,1.0746921077315474,0.9425270213322401,0.8870559154550895,0.9967241017272006,1.278689425535046,0.9563232986151391,0.8682353516652024,0.7781168968506165,0.7314489030086928,0.7453668448332716,0.8449652528761517,0.7111842298755154,0.701447850231333,0.777732233215844,0.8051262014044138,0.7551646190842697,0.8273168812574314,1.0355699379312784,1.0516613341076217,0.9603167222462174,1.17571935448837,1.3342898340120364,1.3662293892243744,1.2815523931065853,1.0927346791428416,1.8994022680298848,1.7245427357942136,1.0800971618665025,0.9368276148484403,0.7913641988199827,0.978947045095522,1.2155117714256758,0.8123139367721945,0.8967836861447687,1.2184985423074945,1.3989705374429613,0.8651513007422565,0.7918154569973024,0.7073282859896965,1.0324185417292906,0.8111776404907104,0.8201141395251622,0.7966683664259203,0.8794810349210797,0.9469837972239008,0.8548419295446227,0.8526186295380218,0.7312088743341402,0.7624162148296209,0.8434263445004044,1.125795141826622,2.0066957467474524,2.1159622623904157],[1.3714040631558124,1.1959583428455913,0.8798006498782655,0.727720541912923,0.6782091160705938,0.7142914840685319,0.6573319510756641,0.6814316445290942,0.7121170748799434,0.7521422141291301,0.7452603502018643,0.7911086544867905,0.9863372525857586,0.8386118005083154,1.0293352914961942,1.0994344599732715,1.249808463352568,1.3136178232115239,1.386562306429655,1.5619301388417364,1.481498190267091,1.4568493067631414,1.502551240933619,1.594342319243484,1.6979264972081198,1.5889929155431735,1.710461189678414,1.5992420296260679,1.4584624813290703,1.3308563417269395,1.1912631074424533,1.1794295446752339,1.1169391343742663,1.2384070719246676,1.3071495535459843,1.3852444315640196,1.4178710870754496,1.6077342146793647,1.7550286915211648,1.812483674276931,1.9071502817879653,1.7015648771147385,1.781884257136116,2.325777556094383,2.889651386798091,3.6385662842245186,3.8318144477570413,2.7088309655305762,2.8455524176397216,3.3289685701468232,2.894139209507507,4.250815671032964,3.1978576742907068,2.733197337321365,1.7804036082869628,2.3763950769674684,2.9277808043079494,1.7848574059510038,1.7955527050583044,2.8973231603249108,2.2646351893946344,1.8378793933373216,1.592540028957041,1.5720596468531474,1.6819757964609643,1.6210426575636365,1.5014967424618717,1.4005429709288357,1.3333556484392228,1.1478077001534972,1.2057448855744741,1.2983822661657074,1.158730464764436,1.4322202694815491,1.2600830726465626,1.5368024987575009,1.494185541907678,1.430613916937952,1.5295435974258287,1.6178265612697458,1.5527811282152981,1.9119276548596023,1.7891951334918312,1.7355983268226964,1.831973433935026,1.6504409701175267,1.619492446161508,1.5140970229040094,1.4981385034427064,1.3736882268065502,1.3102816062141704,1.307187782845393,1.2054663576474463,1.1053409509853975,1.0324175484041411,0.9924652895721383,0.9646310887939703,0.9841755568884505,0.9321344167996102,0.9184868028264612,1.10846733280459,1.0701287519500748,1.2768951473645749,1.114024379663184,1.5404664983614158,1.170544215285867,1.148157083586513,1.2303356265470071,0.9971254396395031,1.0891068374046193,0.8622482410938118,1.0742758161264667,0.85923792171083,1.1215443457479843,1.2183022649192683,1.4694648114210527,1.5082441115811676,2.067959621240207,1.549160383642082,1.3511166054962613,1.2580774374591404,1.1248256632953602,1.3759511496668488,1.0989561036116222,0.8021138968061466,1.1296157323140679,0.7815562394908515,1.0578349558613775,1.021101797006354,1.3521739810622087,1.1901932475010277,1.248787915122885,1.601953471024183,1.622428262361555,1.6923195294028968,1.761914817911719,1.3468230299322135,1.5499100800349117,1.7093800080596282,2.322718628756352,2.392136594208357,2.274454523911717,1.941572618403279,1.8382737124576665,1.8061677728697012,1.646955917464384,1.6130314847938674,1.358008773979422,1.2209521194734088,0.9288894962779641,0.8688599105823149,0.7929387253766009,0.8431707787329601,1.1008467285011725,1.054100473269936,0.8868740338390939,0.9427827046137354,0.9491274141575373,1.1720771672135122,1.2110725095120196,1.5567973477156742,1.646462126886315,1.9482292601927083,1.8952616522543353,2.1583929801685255,2.2788746604411183,2.2780523889901736,2.6542329364291906,2.365927669884911,2.3639131995915106,2.057965104693665,2.1132213338803694,1.9933907599973524,1.904436288951329,1.7495107211316498,1.5512167855227172,1.4477031694755433,1.4881715280140295,1.739211422885094,1.7088361192733632,2.3149907754815575,1.6310393370257368,1.8570659254491464,1.9049629975771798,1.971956070316122,2.2147043244039932,2.2202298443419046,2.4899046990126408,3.0586682467192463,2.5801251630470317,2.6638797704483874,2.2826558478020593,2.2931225139629423,2.1053439350396306,1.9146410379385794,1.8283443274255664,1.385993873501789,1.1582977952124496,0.9509726304347631,0.9163186761525486,0.812584412156229,0.800353833239056,0.7704156874334712,0.6814211615581635,0.7171387077897988,0.8192907047242566,0.8319270447538214,0.76650246303706,0.8491587671490816,1.0068941308359964,0.9421793575475542,0.9749957359641515,1.1885154962481592,1.2295055706825968,1.197605072017403,1.017856164057189,1.11269678621445,0.7810477879231624,0.7061170962087535,0.7654561894894465,0.7252747851753646,1.3218596740083965,1.0222852363426123,1.1816547347592705,0.9667399845233429,0.8993480031925778,0.9419147897391804,1.0665280035212663,0.9712104472993709,0.8989771773486148,1.086253073702578,1.1662698715495714,1.029348546971714,1.0067270871631067,1.4586936167185598,1.3401156495890234,1.166216336512878,1.2859618786253395,0.9376079982301331,1.105546869434642,1.0685709377611141,0.9275059006768689,1.0675401909719509,1.163769368077581,1.2658384837486838,0.993029006537994,0.9203903420881542,1.1330286820209956,1.076107909254443,0.9010758680691536,1.0285047703565346,1.1420771038803095,1.0164046736855827,0.9747953796996668,1.0717039634341952,1.3026179540836171,1.0157058513082184,0.9421922424069131,0.838683979733876,0.7894920207856023,0.812080958751735,0.8393654315415267,0.6971358274663434,0.7053205991183308,0.7311377602414896,0.7031969586984061,0.6795338407355335,0.7153482928314067,0.8340253694501195,0.8663023018125,0.8048789878655188,0.9394947296813237,0.9863713458774772,1.1136459227248003,1.0513188352676408,1.0335793897804,1.7698217480532799,1.7404126210832038,1.0078669570957046,0.8953663182173789,0.7358046107134928,0.9214072685424926,1.111872503175262,0.8160932361477294,0.9699242897344248,1.3103341977857006,1.25647202614983,0.8119123553691415,0.7752432694810178,0.7626238621027109,1.0545969700987865,0.6825031987933498,0.7074431024534225,0.8336607379773228,0.7150766096973838,0.9194105326287281,0.7390897927377744,0.6530726917203755,0.8237769723807867,0.8340225090565936,0.8316761903221829,0.9152331173366697,1.7077520884057356,1.8795491861447282],[1.807260365502819,1.5118134974368753,1.1348592477269126,0.8882001727590085,0.8467653634920416,0.8494554019206197,0.8721241243732291,0.9347578937143552,1.1007192542633584,1.2623538006927622,1.3633846335600113,1.2514567212523051,1.30531780179772,1.4490270233510594,1.463686176639389,1.394589072913919,1.4476267807030863,1.4951636692466195,1.566046528660917,1.3924367396065942,1.4931703971202628,1.60196962789314,1.559813890276409,1.5050539072960816,1.3590367344913912,1.460239056986342,1.289226549947839,1.3619325328580971,1.3661462334695391,1.2939514232324556,1.4610056362192674,1.327626329671222,1.3917864484918714,1.4091108283803988,1.3622851484493206,1.386543681260479,1.2038249145695332,1.2304042079576625,1.0430285393061336,1.0168033356241089,1.0607309295090996,1.3037390602208176,1.2171275681371043,1.1751274960146723,1.4903860758779286,2.192972046623697,2.379853005018454,1.5991160172327175,1.8506276234231462,2.4223981204449863,2.0715419795282983,3.090091608002404,2.008524935214972,1.9428728801866648,2.081770225989838,1.3517862185195333,1.5314068994390557,1.8572276224902309,1.6216144645083659,1.758801899553788,1.3313653418994016,1.3537716891654454,1.3453333907980516,1.464015607031103,1.4145576029016123,1.3758780089029303,1.5487404365084492,1.5083457704425638,1.5735625251699772,1.6643019571531017,1.8009814452649269,1.9238536274468119,1.7214522921985747,1.8006963622780974,1.5787717523303129,1.5532284175316633,1.439265356566674,1.4008609886559107,1.341530032784757,1.3014183286288845,1.1656083710617318,1.1433175371505395,1.0434674950497735,0.9823564922643843,1.0263938622989848,0.973561296990258,1.1711895669409904,1.2019652481343592,1.3281520411767758,1.4049151729659781,1.4748108013261856,1.5272411491040236,1.5687083277865639,1.495191640115922,1.4853847782651808,1.5443927811150413,1.606051010128802,1.3954419572288201,1.2810126928906107,1.1695419078949973,1.1568716166032196,1.0501641357798324,0.9464875318374745,0.8130951666234041,0.6611752783891742,0.671335604478383,0.7316389924447854,0.7997373671397597,0.7946349559028622,0.7540253492297954,0.6738277469582806,0.6579056037827592,0.8121666165924685,0.8145594932209284,1.1746920195549537,1.2546277794258922,1.4880808567242705,1.144972809629713,1.5895044126720728,1.6004901687062363,1.6733977179346253,1.6373441443814452,1.6267203883397456,1.2692182379012324,0.97289861704049,0.6505380232283139,0.775324037679241,0.7192773303161497,0.7439742942666187,0.7647005425645946,0.9608068153397885,0.9483361388420335,1.0793158397656493,0.8322270144302641,0.9796671379481251,0.9233391259363174,1.110645133160243,0.8286965832949499,0.6925500124532035,0.8237975345051539,0.8803156353730134,1.011938383693594,1.0509359660584612,1.014599398255856,0.9996053845831735,1.1263698377992928,1.0658270197402337,1.0569673854326556,0.8705770089024156,0.9530071074128781,0.8376371029916115,0.9844264643846121,1.018507891291644,1.166548914990185,1.1701391411054325,1.0486090583705001,1.0601292387912895,0.9344811843248925,1.0105374106783427,0.7426177337238579,0.7599314587499917,0.8547620534058615,0.667390578430825,0.7371679561700419,0.8247211344404287,1.0585309699661567,1.3266835538364972,1.9047855464765773,1.9027252546005928,1.7845752180443442,1.3520231995841874,1.0261939134153768,0.7627522605083829,0.6555950901755679,0.6664356857597525,0.7005989836800623,0.9279568121587117,0.8570174687831619,0.7530887088547703,0.6831925093323205,1.0269685873609076,0.6663014169487698,0.851523356134887,0.8898310286414749,0.8793101303521704,0.8462797943623371,0.8176634816387537,1.0135661806516774,1.639605411561666,1.3270244581563349,1.6586199106443458,1.237238259126001,1.615080575522449,1.5386169072688798,1.5178481910671464,1.7231947434589212,1.3676370098580852,1.1965205517243132,1.1894276920296365,0.9977260012992869,1.0300695155708748,0.9086774808665254,0.935113520118083,1.0788790539800779,1.0413581977777462,1.056891158344039,1.2712657395471474,1.2176567261075486,1.1088369018468391,1.262099892639613,1.2998921923936515,1.2806394439662367,1.334819214181045,1.4498472664686268,1.520174162625189,1.5150143058901042,1.3838960973317687,1.364859854529943,1.2702889092092389,1.2578432117154124,1.3959184994415414,1.5563444395738704,1.652822655628523,1.3217800557048354,1.2457064111017244,1.1579831903096103,1.1166701246879982,1.3082111928151465,1.290571001124587,1.1895243046886192,1.2873504344291604,1.4383882093351246,1.3883371525654413,1.3036003189769902,1.6367618027510984,1.6509393256368792,1.5890823355703443,1.4809864349380724,1.2777362186223367,1.1113469966876823,1.1245318279929626,1.01913519841714,1.0476558488598782,1.1296025220149057,1.1892040761523488,0.9708872573616357,0.9568864852764611,1.045699033791035,1.0111803870851923,0.9684260583511154,1.0039080314399393,1.0715442524903964,1.0675707653407849,1.0824101042456378,1.0771888631361464,1.3018827473708963,1.1741544362629412,1.1413944551312323,1.1428043438065265,1.072804720128826,1.0454930349099172,1.184661343939896,1.1147917513336743,1.1201520307380755,1.0976337594569072,1.1678520452417935,1.1877649120425928,1.18951440183099,1.2939140749432612,1.408112891717308,1.3473985038774783,1.43617994466644,1.5664471493365426,1.5587065823137485,1.5422873474746919,1.3912657915502995,1.929974981722271,1.9017511938523852,1.5086163646882178,1.4873856648983161,1.3467148045065267,1.3786691711407306,1.6732969044952635,1.4101552094018792,1.4012563650354957,1.3959348221457906,1.4230947124151214,1.0964003525567951,1.0147664148704805,0.8498631588044372,1.252678673343714,0.781861311919865,0.7766022563716428,0.7395526656271169,0.8073433608703346,0.8396122578800108,0.8185094343673186,0.8296324622754493,0.7146331960288839,0.7771121907030976,0.850372906768712,1.0872457402934195,1.923811121818803,2.0430485652124277],[1.6737026009273979,1.3496217369843408,1.1597277540013666,0.8147396718774538,0.9469872225493661,1.2419321196426012,1.4941742921031387,1.8006175832465339,2.2362535927489495,2.6186048792857095,2.923037004844391,2.7265496115353898,2.7685197181913193,3.1283427251804556,3.220484656848454,3.0366596674570414,3.0591107469692034,3.1704934454361706,3.182905972786622,2.7638796988619396,2.803444794636745,2.6011435286630507,2.5533756585587404,2.2810357319582115,2.159478406004964,2.579313956347213,2.3073257580469426,2.6409266636763844,2.788705593320087,2.698414184838227,3.1530074333203006,2.8189066746403464,2.978393905970323,2.997560258785239,2.8116851411904307,2.8224573416222456,2.4282619981608775,2.273258789195956,1.841151016361362,1.46652364831365,1.4382045241819612,2.1396483483548647,1.920388374070086,1.477214120757672,1.7213522538211363,2.5258146242671287,2.851213804285659,1.8916689226145358,2.0715766102657684,2.85296610964657,2.3943952152505172,3.3903245028461395,2.231751852436386,2.2534743023197685,2.452842464165363,1.5848410109064544,1.6509358547020976,2.5664365027478677,2.1530882016758985,1.7480385175959465,1.7958147550091568,2.2988437750825312,2.636205877406024,2.6973544205286517,2.4446327932797853,2.553846582867701,3.0058846565032176,3.1270741691166206,3.344772171326351,3.5654263071861787,3.7258290858814824,3.8592352739128915,3.6450434015354034,3.5599471841167896,3.3451508874152753,3.215543305424237,2.9098349485110537,2.905516053054529,2.6552967798230487,2.3851641913327635,2.1804355933067314,1.6664643582519432,1.6947659126780767,1.4639990386558746,1.4772553199885572,1.7547272624653334,2.126300517789563,2.316380281074642,2.6371714788215432,2.866512210971927,3.074950601059294,3.214142815608943,3.2939832704755014,3.2610108747774795,3.249363348973786,3.3810377463071544,3.414308139011231,3.033510325062315,2.8037574314746183,2.5292640267065667,2.4901570778430413,2.058114546520254,1.9749764969180976,1.5796942502267766,1.0136841332158264,1.0943700407546197,1.0058977806644582,1.0372402805028622,1.0130253844708765,0.9989376549237357,0.9563465797865403,1.0950689001674279,1.5267754512788012,1.5265094640657655,2.3386238141110907,2.32410303043474,2.897120054372882,2.730195015420195,3.205661283179304,3.3631499362337003,3.5785441624362297,3.383518090221847,3.085691507591359,2.3331264085245045,1.8233221199391636,1.0026445306628018,0.9601516818433573,0.8941445397981145,0.9382211698246885,0.9870159414487981,1.360400031608092,1.3937677161033497,1.626749728833034,1.1362425691484543,1.3775444510694026,1.0957117788057613,1.5947466504791394,1.1455959568040748,1.0010659890892268,0.8584859324201009,0.7453627380881127,0.8761206921959641,1.6265619586170998,1.5799688616971614,1.5541133663440303,2.104225065035842,1.986149288291943,2.070315846459125,1.712440652737147,1.9420925113502598,1.6511735655166413,2.0131498918543844,1.9332450750612438,2.0490373986390944,2.3150184631515844,2.231345724224965,2.276875261078578,1.9099084064159846,2.1051181775777263,1.4238536982895171,1.2797149816909599,1.6203710886897953,0.9803121514232135,1.0849289585300608,0.9622535220027076,1.5437544275291724,1.9971074171290983,2.943572036857366,2.93454553171411,2.586086804029423,1.984635384057219,1.2621234327383286,0.9075145314392238,0.8369501251494929,1.1096400297768843,1.298148521788679,1.8526577718106148,1.6342099080597896,1.3072807046198358,1.0705915315925325,0.9599702360806384,0.890936105540066,1.0637971067187093,1.254625853056185,1.2262343894347612,1.0334264994454243,0.8804008317289722,1.3189558510909491,2.0521788521613504,1.9502880314286475,2.4530821728090113,1.8250877252967441,2.343140940161442,2.2880189597937997,2.423623454467613,2.6801806591686232,2.1398311435050332,1.8198100462015352,1.743332986380908,1.3122796224174615,1.421434197170412,1.1425405682343446,1.1299740999195953,1.3910764050310238,1.2928548257319574,1.158515253486017,1.4404229979664558,1.4256671523282276,1.2069506405450343,1.2940590700125956,1.3968323020102698,1.3660836545646797,1.3413962189662485,1.4787374573700296,1.5957565757119865,1.6749192801037665,1.5669804148974569,1.8119293062478155,1.6434710385094147,1.593090591443238,1.8700029199023316,1.9247416005516291,2.1871201177356485,1.6819704961203155,1.719607335671458,1.6844351640348705,1.5505620621048453,1.868370107004243,1.929656185244532,1.7385339176560386,1.8808312304246864,2.2153131562261126,2.1486994071749006,2.02260314885845,2.3116298618494384,2.5801037499824773,2.5006826780488542,2.2952748463661514,1.919780799242193,1.5990848978920262,1.6303245875942118,1.4002106936416463,1.3247020741911686,1.375757477151866,1.4194262063694687,1.2030977171809816,1.1665166936250428,1.271985111732945,1.1980519239900584,1.11401977441484,1.1165262829668254,1.2014376442772443,1.1431758462548818,1.1571059841996847,1.1597795781155034,1.3940416561873843,1.2054506597731616,1.1961695945698994,1.268912791825558,1.2642649530392889,1.2601187630326711,1.5131676557102063,1.4332192769015129,1.3911774537834223,1.4938610035365645,1.6658605872090255,1.6387106880258555,1.6979280486623929,1.948753398957694,2.0661939322711143,1.9738685689163207,2.1623739819807306,2.4377919635488245,2.3463289302055927,2.2997880440078946,2.0442624039965613,2.6479588598355375,2.4328218440979805,2.117541209326612,1.8695739892110328,1.6531036722456989,1.4790697994052149,1.8548973569433904,1.7144458521264652,1.900702694594857,1.7910859918786457,1.8168093828045875,1.3070012568486877,1.329434228560287,1.0227450989055176,1.3008445442913215,1.0198118608496556,1.0096236645842909,1.1320341359704038,1.1879609620307352,1.1285306936587043,1.2886956564449359,1.3881752071213993,0.9444568373652006,1.0674697133772737,1.4351946553203414,1.7778558459303102,2.804531591073075,2.854006869002418],[1.2342201540372524,0.9558605349167827,1.4183034348310148,1.3150128572037783,1.1307375064199554,1.8547208315311863,1.8989247138959247,2.074635180244693,2.6964284205267535,2.828892652465275,3.133967554652826,2.8357254054380703,2.4900893167976452,3.1452675197108753,3.0027266663646834,2.533777944221277,2.3472029958142953,2.2268316262235293,1.9214398121834495,1.431332381261074,1.359150070921188,1.166017909736172,1.2218897018217434,1.2516568181005974,1.264211861930074,1.190522454684763,1.1496585888877853,1.4133784631101423,1.7122946224235696,1.8168610459085925,2.424469763793461,2.1066790293154574,2.326243028067015,2.1249240594126344,1.8268255084597855,1.7129457750104062,1.4527581605759272,1.2117509090699912,1.1300237432420324,1.4353582040763733,1.5772294159577651,1.1536655485571259,1.3174280081659768,2.3352738519163987,3.2470374612655233,4.466803972005226,4.8413420884283145,3.301817026145221,3.4947731112977922,4.492974552975562,3.749223413447116,4.913104998367949,3.5957402085420265,2.839996063276696,1.8111532736857214,2.3248135475004417,2.611262435367063,1.640221614472732,1.5244290122574071,2.5216595187053037,1.5907187716852815,1.2102232248246865,1.3669515526533411,1.362853167025703,1.2381972040926439,1.274753534145193,1.7221641573524846,1.9630952360278826,2.389830014125298,2.957755483068608,3.228168971313004,3.5496144777287633,3.0896910483870337,2.6516312206681842,2.4104425617376126,2.267806735742156,1.6745918626378535,1.7377548175099293,1.4525892589633882,1.2469589707379811,1.1404600269718732,1.294735851337343,1.2487946732348847,1.418014808395081,1.4354553449885261,1.0777052519234371,1.1047923706091227,1.2604366861083824,1.4089810081273078,1.737314861828239,2.040868269975227,2.290990560603188,2.5536628056271606,2.6670212987021467,2.7842222052176653,3.1761309653076077,3.3547841709023407,2.7154884411625275,2.600872456506135,2.4296597885545808,2.009399587185217,1.6913585699826121,1.3791595763161995,1.153056494646342,1.1923427821787405,1.0160521792670267,1.1134124450023561,1.3688980945791565,1.1084779465810626,0.990088507333328,0.9643669715988212,1.021210655007047,1.4576442078459826,1.258936364933109,1.9211059047386472,1.6912105141517397,1.8625626474381525,1.5974205475228438,1.8642253798979203,2.3948280415929926,2.947883547376399,3.0679986324721322,2.750221648832391,2.2372868032904196,2.0271801733927095,1.0387276152192002,1.0134041216657907,0.9531225191434904,1.0572690162595106,1.3973284687367373,1.7075748953384964,1.883944045772656,2.442573813750686,2.005400803901537,2.2371272956680057,1.8030631916828768,1.941742863425448,1.711779024914452,1.5877733406889425,2.001223551241288,2.576489686523773,2.795088068242035,1.5179087235522941,1.3413069876761243,1.3381003226499895,1.1768082246758254,1.2052558757451495,1.4151773820892626,1.2598637948984652,1.7532701582709374,1.5765084713913466,2.1477451862576094,1.9313527872728369,2.435942040956066,2.4998953625553733,2.1446761586516274,2.0877890632855824,1.6301365367761058,1.604073024067449,1.086956155875725,1.1895877866900637,1.0986663989065513,1.5751898879902546,1.54968059844807,2.5502163887072697,3.2999270239375695,3.498746996285649,4.4819893681041325,4.006336368010961,3.5993149819660295,3.0183818982326005,2.4488002803958655,2.1313818869179735,1.710917461599819,1.284792023759286,1.080911400419892,1.1568806598520052,1.0823145110877503,1.2609130188680757,1.3398667678517517,2.239444278546752,1.4590530856369484,2.223178469845979,2.6361877287853948,2.6457226445965922,2.7720138835333312,2.462793056129356,3.3101023537854086,4.157287555089457,3.86910034147586,4.218625733345046,3.507333833004397,3.656923428434284,3.363608488100279,3.259972572255507,3.2457576850519416,2.598894601953549,2.159107691201024,1.7397197225189616,1.3134793802635478,1.3402468635078546,1.0479548446490803,0.9769802711993738,1.0483954015411305,0.9950949374576191,0.9646572457432498,0.9849975868368412,0.948211146445756,0.9457110255000825,1.1782719534461878,1.077315635327403,1.0744584174997314,1.431241895589556,1.4528966776616312,1.2980869920109408,1.1163535089610792,1.0856857609463368,0.9971658622718683,0.9444990867221204,0.9598073596764185,1.277949562278643,1.600553953246724,1.706166558928634,1.3331142271945746,1.5120967136035193,1.5975705427296492,1.5306915122097036,1.9717109179759456,1.9142528410326036,1.6502180972524705,1.9988296360269753,2.3874572852651053,2.142704246331346,2.079328232054276,2.5162585801504513,2.6550765892308905,2.41318076099337,2.4195356785160347,1.8409397229006539,1.8590994599184114,1.833051392339016,1.4263666409390257,1.4745165115543433,1.4598056764933844,1.4102669530314298,1.2433952644908277,1.1239932078135773,1.212405596826352,1.1411491008658814,0.9911227612109446,1.071857056253572,1.2574918658434955,1.1086697589258334,1.0215853994426147,1.1790573165082048,1.5069903291949087,1.1299751489955874,1.0100154197398865,0.9069213772090726,0.9349773456751707,1.0208070754907963,1.2834651972172242,1.0100974750117668,0.9704310863368067,1.2154195833452264,1.2611485282689983,1.1151517367089991,1.2993975501088963,1.6457022430068096,1.544179531251803,1.388838501528954,1.8149982359226406,2.0575479238864025,1.7726006491878712,1.6741380152506942,1.3528856041010289,2.0668133428755993,1.840084930572474,1.2125209234112577,1.0187040666848295,0.9523853377974187,1.1595067895847462,1.2849610555861757,0.9557884030088528,1.0127758925961179,1.256239058412957,1.458860570706303,1.0868533325815457,1.1497067425039298,0.9592831391417092,1.2230463319390787,1.147876458523529,1.212481648493252,1.5208285949447191,1.5829158612652245,1.6962795516004847,1.865268676806881,1.927967590276785,1.8043112566246586,1.9438749985664259,2.26380443822607,2.4662736746243836,3.3149467751171224,3.3348235260622694],[2.418502923057348,2.278900576633854,2.5415188973231655,2.731035055445883,2.2303337509211527,3.2749574512623556,3.272333095578409,3.468224502876555,4.1790539643298805,4.217399225081391,4.506734816697364,4.212201800755044,3.75653408219737,4.4218123506126785,4.229483319175107,3.7385115526689443,3.5475808216272817,3.3263163929855417,2.9606394386709702,2.8001470364891228,2.601194648071619,2.5455384942634725,2.5549900323981887,2.845369016046757,2.943299639733604,2.799944800515275,2.9317733223154128,3.0347680331598084,3.0699746469121836,3.11105790544468,3.5283606894852393,3.3161242622489935,3.483053600912458,3.2292362507367067,3.0155892573704586,2.9376956666318184,2.8390130513890273,2.8192947436172915,2.8588502984955495,2.9893459894558934,3.3089610851645226,2.7899385656295848,2.847036196595656,3.7069252599877567,4.582983474382755,5.721100951259158,6.13253890829619,4.5166662361965235,4.622775563529747,5.628910511005941,4.861839600894429,5.8600663728889515,4.704357277470766,3.8451257054289547,2.755589243862671,3.6687615310081565,4.065822666032877,2.5928805349712967,2.714692499333449,3.9411075235270587,3.0786932645923155,2.5461310756508553,2.5272510650628246,2.4733847384702004,2.6145177709415677,2.6242236669801633,2.706138155602891,2.949672961500667,3.2125976318370117,3.80632383715823,3.9566973110609927,4.189761267816565,3.8088617096606097,3.178928400222571,3.2612483448382323,3.12757342292548,2.72761397249864,2.7658529575639563,2.669871371237443,2.646439944494471,2.6079300284219444,2.8628490118017282,2.785741118578634,2.7807997527160233,2.830989549794564,2.6963500699156993,2.702518261096001,2.646991383858107,2.7209180242702815,2.841232954507038,3.052131521116203,3.193362458396211,3.5109962857998864,3.7285119536152043,3.907822343250543,4.339331137689722,4.571194015170783,3.964510876909995,3.9245859216002783,3.8071982582893824,3.2937714803526204,2.993967353414946,2.742504449598284,2.5020120258388414,2.5183647542197747,2.2467004272544506,2.1136075547490103,2.12725728450922,1.8763874716917177,2.057121649600618,2.1765893612409286,2.3054169541386584,2.780549067040089,2.6185975830865833,3.2872677120773135,3.155298911723192,3.324776021094335,3.54726308792428,3.1235456429981374,3.4835557615261696,3.8957774743961022,4.182816367886522,3.876450679540986,3.497360390054798,3.3352586307920156,2.3386094961186426,2.2207437618380825,2.0630572821182027,1.8974223821098524,2.293419240728282,2.2042489479977583,2.4288415596284696,3.1197985631559653,2.8689689173699184,3.010561162509526,2.699242845458864,2.4405695668197818,2.4708473872938477,2.512459596328581,3.245215201857237,3.8362621229158074,4.355267377483549,3.498743275702964,3.2019638529741656,3.160505747799339,2.8986143695182687,2.8973153481685046,2.8967354062846296,2.7036476346943727,3.1036392673091395,2.906089719750116,3.5681062739911376,3.298664388384059,3.974991556898175,4.006932263991752,3.5084373137688254,3.4362095277132285,2.950576879024149,2.9626265737724875,2.4976060770796544,2.6956542876595857,2.751992081227775,3.1333951431334977,3.1102637489124985,3.781831305706368,4.422550684049247,4.506498519910826,5.518720968805884,4.8366911720225225,4.373975041778658,3.797724417937853,3.422511793750603,3.2950737379567174,3.0334956262508235,2.7707744096464437,2.5715685304500826,2.637569967159302,2.547770961538303,2.753455259361393,2.717391716999447,3.4279972148792495,2.684923619197522,3.2668392808862934,3.6516026322602695,3.705021101812113,4.058093149321199,3.8648836458406852,4.7290978431471,5.6141783143785675,5.223480306261271,5.490846633968818,4.678033042731099,4.664755235825145,4.230634982248379,3.967308921413877,3.766289649498363,3.0029273755809758,2.4266546811056147,1.836409630454438,1.592245242404178,1.5433228918521331,1.6442010956847781,1.6898535220167228,1.4436838976271298,1.5477207800204498,1.9697360940542203,1.8132466239697436,1.6648912064411712,1.9885600836743083,2.4251820714179373,2.2024992738090132,2.2375176964935557,2.8018301201842744,2.8093110889617856,2.4850092672850868,2.071150785860528,2.0780828122339465,1.399717974024087,1.4282173478249667,1.5055337773404538,1.2993865871728796,1.5803471707228773,1.6263984846655481,1.6513395919065135,1.6900348742252076,1.7586911450847327,1.7684721218691237,2.086616554485357,1.9295240131744649,1.709869510511615,2.12938059551908,2.479134222819345,2.1677514779752363,2.145013356205691,2.660669867809667,2.738215799938473,2.4053884402630765,2.5441643639550295,1.8705738370719966,2.145257805342589,2.1014338294868216,1.7596688235516105,1.8953247974749574,1.85896451670543,2.006709398346847,1.783598041855955,1.7544503146777837,2.049075203021044,2.0896894696563804,1.9445711624116413,2.2110217687285356,2.5278254377843163,2.3520714018683155,2.1436082648745987,2.4843199296850518,2.9004928696164898,2.3530297829079387,2.136429198655382,1.8558232152403327,1.6878732390358708,1.6701880783372876,1.5519879702443167,1.4604701468182146,1.5098989836658847,1.4199721473726574,1.3532358894425682,1.324396609798336,1.351620938272367,1.5748707198856897,1.4759327715917792,1.323611848025741,1.6763708029549815,1.9399247634741852,1.5812701020228017,1.4429075617158589,1.210173788523288,1.8422067243984415,1.71404201593826,1.3565212078676159,1.6934167844623094,1.6161300532354987,2.253294369347059,2.278450765828348,1.7020956814609796,1.2678371918076063,1.2069506696590253,1.2907323440494423,1.4992424077612196,1.4850426486557615,1.679146662786822,2.4134909079902256,2.2793602581245005,2.3712839640561945,2.891271192386799,2.809283819203111,2.9491601460798695,3.2446530873000055,3.3582960095087206,3.3683988362590505,3.5145679684440245,3.8392889848990994,3.998627715159568,4.703919995446827,4.766791816087482],[3.2909041920144513,3.1835960251177955,3.2370702406259335,3.7148373969115367,2.7890362176809176,3.86675730394954,3.7164402891821626,3.808929184674161,4.5497996048476566,4.564572702752698,4.819808321678511,4.551477960295276,4.2173443220186595,4.804265071627118,4.765271574650833,4.392676173490486,4.339537814166107,4.444107007300825,4.481735616050811,4.395701303109847,4.3715024981522825,4.321643365926742,4.353258574903662,4.527015140628867,4.616008746477294,4.529271480351635,4.447921194098477,4.311651902923989,4.227451397224057,4.013438714979228,4.444121120998888,4.100094316502703,4.237586913858457,4.238186447889359,4.107939622071104,4.172911111387949,3.9302338401066224,4.169155134006576,4.2164976321257885,4.358441490944341,4.641638888602762,4.407212031930861,4.49916353613672,5.086097817686452,5.8008047291889335,6.6628322193736995,7.201931873757168,5.784361047855556,5.702774218066572,6.657710529116919,6.080075487712115,6.742298621209923,5.884245294417034,4.992623529489181,4.146087156358386,5.2013985776809575,5.603855214051942,4.123244553562724,4.363964974319998,5.571358534892516,4.800644224402425,4.383157020177924,4.256228882522109,4.291064701274884,4.445011451047509,4.381301112681618,4.392134571561193,4.4040295109415135,4.556607062365611,4.738197473292137,4.805002475718714,4.87928108179514,4.662221148400747,4.325468103197463,4.440691400314845,4.493438828692458,4.278067435284374,4.220909615719545,4.217284461343353,4.292874957194768,4.120859025507181,4.3673198032352865,4.084777206035101,4.062281418502601,4.111270454314061,3.9735422123192206,4.211428922050224,3.992686658755905,4.208182275968984,4.139713469871841,4.276002946537344,4.374024710348173,4.477532206300897,4.50823241678557,4.572933017955665,4.856672852163958,4.996718472039282,4.5079597002628224,4.3770298509843375,4.200750366061012,3.8713291092829056,3.4423486007904804,3.459010951252998,2.9940447953205824,3.1054272381838426,2.608198588090536,2.415568441756108,2.2977143933035067,1.9424424557670146,2.2822582555455164,2.325152588870256,2.531806626368175,3.070532023885281,2.918441665980913,3.7793887514024003,3.6590289607427726,4.180978966851516,4.420919995556709,4.7167567932821495,4.637330396570606,4.820473121596396,4.763304243959373,4.46679643417601,3.968014674004574,3.7863653164627165,2.5849222195433295,2.5105077142775967,2.163752319767894,1.9404612833776163,2.4448036590437705,2.1527638812915937,2.4768224294395176,3.2484469881427414,3.160995138279005,3.123252649448177,2.7742062259983475,2.245357629249875,2.2813496922748047,2.2789784584659762,3.3586743223505096,3.8015246152877946,4.918823639963139,4.5601406365933235,3.9541826122809853,4.186195196409608,3.9247710813818633,3.6454375899866243,3.5218677639451648,3.175547487725697,3.4573823459213133,3.2075583102711382,3.8998194779119983,3.61810751267278,4.351284460772442,4.386996753584385,3.8735710428079635,3.8364827270167754,3.3305201810453804,3.5131211954482646,2.965936893202084,3.22267381353475,3.6541284322093435,3.8065309034612222,4.0982570507707266,4.457749336961924,4.793052982868513,4.871071622218932,5.886705718022288,4.9864550839250565,4.367093676830111,3.8575985061493006,3.5661250757359837,3.7628633996285505,3.7051430108312364,3.6130981798670176,3.38184045600212,3.4934860568022996,3.5147881641187375,3.7867933355909087,3.6338738004590336,4.263386425523591,3.244744285661863,3.8325983912645247,4.240730291917874,4.271028985561743,4.912530905156344,4.875902137743405,5.733422800322606,6.527470621011555,6.033451959888823,6.164939790171981,5.2984339040483075,5.047760037948687,4.4481376443806635,4.0844526039408615,3.779590959867129,2.97970958054857,2.4609711642089933,1.7999325680435385,1.624667772849873,1.5437479378762793,1.6483626312835058,1.7358043742081086,1.5071342635748024,1.5800163813027572,2.10240048915474,2.098261158792754,1.9105351529165087,2.1799323218313775,2.8266961413028158,2.7072341497971166,2.6925164431928423,3.3006951932787896,3.483762935226091,3.172511628703161,2.7284999887083594,2.627504692908906,2.107750256251224,1.8976246582932244,1.9180194403331972,1.4760782844117066,1.8395172415009922,1.5305339517781067,1.7804287346976675,1.6580079774384964,1.7268073864326998,1.7487230414245751,2.202620975188784,1.9988346649867264,1.6975285068963064,2.2167448315226133,2.5834528762510027,2.2040834380496155,2.190855993734839,2.872060064797573,2.8967858737985113,2.4895806735266466,2.6554767265202526,1.8659470942618128,2.217080233435617,2.2136801538962247,1.7658677856852396,1.9941653881482229,1.926296055929117,2.1327189730387075,1.843696853672138,1.7847510609530957,2.1034315692511285,2.1333457183608524,1.9676442914629844,2.2855948120920293,2.662848366509824,2.5196672666640048,2.2448919178356186,2.6768236841311466,3.197296222559359,2.637733669999089,2.3758676692926546,2.0844884248174336,1.7830459871708082,1.657894462692985,1.5164369687556933,1.5699252207995662,1.6338162746104414,1.452462267751691,1.4867437560479446,1.5656030098937872,1.48627632473036,1.6940005430128802,1.7370721455466471,1.6342956582032007,1.800723973788377,2.124785515747909,1.9776694604823115,1.8276391547235353,1.8433488648871967,2.442163468686468,2.591834037521836,2.2892206077405683,2.6365627957870608,2.266546415464486,2.913388069496829,3.1843197307723394,2.5994530614095033,2.2795196253654852,2.125497711058308,1.8020648590325934,1.8005585194675633,1.486597980636733,1.7540734235391138,2.5437128418900743,2.5473235132273055,2.7063885742429674,3.184714714129297,3.2317435844961118,3.5137721128002792,3.7495667734291547,3.8289650802582145,4.07502258745591,4.238246772908466,4.418291013837114,4.489293264942845,5.045358254855213,5.051113277837284],[4.51179083971628,4.2658239587714295,3.874346945674875,4.581364584830162,3.166022861848326,4.602762151380799,4.302829133196115,4.438479715758307,5.479298245976757,5.492832879224141,5.949295768969764,5.599511528926695,5.141412091737295,5.970216615301718,6.0627665372117105,5.552990837458893,5.460275536436197,5.802590537192275,6.066962847096071,5.8375854231449535,6.029743998014548,5.938063460572313,6.125032788327825,6.326104133705854,6.215158047420862,6.074720390158935,5.684891840929228,5.382322290124719,5.341793078249283,5.003260315763998,5.7722762327933115,5.1465835509607745,5.394340188865877,5.514982111819618,5.2717651282532225,5.393964223031851,4.899313546010866,5.269513956327293,5.272833484086214,5.567343154290675,5.927437741472935,5.781187288084858,5.939974801262559,6.465468271736287,7.2508765977889125,8.029684002967883,8.620483314427556,7.2004480298636855,7.017539498118267,8.111853289739589,7.538667168412288,7.998704049713446,7.237627115912708,6.259596420828554,5.3898923928908715,6.657595125284183,7.0863076931733,5.479132515439306,5.816950614500968,7.202115043151351,6.475302072644408,6.04813530896886,5.839169154458337,6.054626286563816,6.1792363212880606,5.971082444924344,6.128649952302037,6.003155560552774,6.311081022668947,6.364009937426596,6.547586668560834,6.631264381331516,6.3832022346957595,6.132712002047402,6.0678072194498665,6.120226389367162,5.857963280092811,5.723069563331071,5.62986407172414,5.685373310573687,5.284132713132319,5.526286398842463,5.061865989098252,5.082494315932653,5.080615924429418,4.9329146327277344,5.383252708641308,5.056413980511904,5.535744893545416,5.460583753888592,5.722376039274497,5.907221697798951,5.980516547887953,5.89199115750316,5.896150656715898,6.2620831687009035,6.3473671595237615,5.676567462768693,5.419677293530861,5.144991718970711,4.7188435190484945,4.00946669274545,4.088768116834337,3.3638416496825867,3.5627218078415788,2.840736905834438,2.6788385111600364,2.721972999810791,2.1879583788986374,2.425071239629065,2.4970698872398467,2.6841132894372426,3.3881422864815907,3.1634473541525145,4.395316080883497,4.160045884535955,5.038837678640502,5.142423892394052,6.23047921980192,6.026067330862203,6.2242404522583,5.940767511539654,5.163646026338035,4.497552134361054,4.28475721924473,2.6989245547304592,2.7045616607544933,2.25990819216061,2.1192045508323925,2.8416685192203963,2.808476583929193,3.2461865654217457,4.2450591257361605,3.9216308927360624,3.948946845428211,3.3462777313255523,2.99167697828173,2.7208032308178716,2.504048277021318,3.8388656274789312,4.364764777680073,5.918059215701967,5.487183095290828,4.639993368537612,5.058908058574794,4.738439038261882,4.270410373525792,4.094734540310959,3.586538266206624,3.9440447635492992,3.600168410776358,4.591352718705038,4.2162170390955405,5.263770010733944,5.3302176959684,4.608309103377692,4.559248921546889,3.8113004849736796,4.124632972033124,3.311160621089689,3.630565655821533,4.340640757662504,4.507064409375722,4.9718909021277975,5.489560019612025,5.909354431477572,6.169979888388059,7.471989432278906,6.499069750278709,5.597642017741029,4.9510495990094086,4.371852455727118,4.581555577518546,4.454286507310586,4.321040473989669,3.983690821029788,4.165864799682642,4.191295837361573,4.587802702744157,4.389838936893782,5.208086844830901,3.8267533238231453,4.725404984272662,5.3559381128141315,5.351710468594879,6.095116997283317,6.058985194436381,7.109543051122606,7.975368761513944,7.50940274666472,7.7526498785356415,6.682197998183448,6.505452361531767,5.7571018432855166,5.322153104077801,5.0215160826747836,4.20696277026764,3.5275998649240674,2.736525949732406,2.132360883787219,2.242889937598944,2.033190553277236,2.0267566264831913,2.121743076104355,2.184261373386777,2.5801185235453525,2.7135292221676908,2.6184408673519135,2.796007240495723,3.533983714064323,3.498321564281794,3.5114770206397448,4.143535349846976,4.444946082281668,4.146446169418322,3.6395985154782435,3.595534692213969,3.1538587266013884,2.8314122077773676,2.830531380192315,2.5592440249905857,2.5494799555992875,2.6014062032956238,2.9294154297690542,2.724706796485562,2.7163235427293997,2.5889218749365583,3.2347209618412736,3.1598687848949782,2.7450777036239833,3.2556548181448046,3.867633831889498,3.4989770550619426,3.3830244149567377,4.100810295771064,4.3689629447128056,3.872137005409957,3.9328904167931706,2.933995002108557,3.1350615037522855,3.127262258217345,2.4718827440011055,2.584009792833053,2.493642926271616,2.4763124163464734,2.2638768943945693,2.2001846650751964,2.406175764334692,2.4259562834304713,2.4002969506976526,2.756292946123034,3.177462179822192,3.083077590955784,2.8509134281268493,3.3185904679862,3.9296055164745294,3.3813929548315294,3.094827465736511,2.8114752672549392,2.4621989871236285,2.267921211858105,2.281973700855146,2.4147621506501156,2.3965493619397136,2.353036191115438,2.540610916117129,2.5719691333278845,2.5188643189366076,2.928163403852485,3.0296783912388254,2.8232070232591133,3.0980478711875463,3.524700619456008,3.3778471240766823,3.147274613194285,2.926240766134377,3.5866960291780754,3.622486279527067,3.3698273807074717,3.6446467118846484,3.114339530773273,3.6809024317408476,4.101067112678047,3.4366054200010634,3.221977622006086,2.8887866295242124,2.421074331097183,2.1281964144313075,1.955052190589156,1.9309351775603143,2.9797669944698186,2.8319732855049105,3.124039530888138,3.7387541206665893,3.7270579147461915,4.239436817897487,4.5414191661338785,4.585449464198444,5.0582839261783885,5.309876913555468,5.5531965585005585,5.509120544548795,5.957285229884284,6.000343810323627]]},{"name":"Protease-ligand interaction","means":[[115.52290245484546,114.14186719543044,113.01047238801726,112.1297986970719,112.19535674319263,116.45726305686031,117.21658214401108,120.64858849916095,121.69692989547518,121.19305264338541,123.9862440639774,126.50126770592048,123.47294236712065,122.4582589361852,126.07802166325058,126.18414665219719,122.71929066128612,124.42428162409405,122.6750155743885,123.6845110337986,123.72224931967732,124.1296672577911,123.15879546732184,120.39378040502909,120.33855488286171,119.99911136409375,119.84527557545339,120.07562393779978,123.22914513200651,125.09566679103678,129.11980657588367,129.29739698935091,133.004373736113,134.10150757997346,130.91722524555664,127.86412056347844,127.34170079555614,124.16028783889051,121.66281869337614,122.51437910798728,119.00422559392786,122.24218657635733,124.10507280235426,122.35260317552738,120.86828102054,118.28923923244925,119.97287112746405,122.33710423208505,119.58775673808964,119.45475944711221,122.89204550883834,123.92013770178467,126.86186370294116,125.2825579737607,128.8669201198224,129.59229549641861,127.22508136552905,129.1383371867879,131.95568906165113,130.01117620836538,128.68480951245556,131.6707860386304,132.54012946826862,131.36633931860447,128.4633413659916,127.9936132441355,126.73707902185134,127.31091560195746,125.31137825657756,126.58005046592395,124.99089335743245,126.69641828315454,128.96253252848695,128.93801428379257,130.21703206813999,134.2158870988986,131.6888255211778,135.24932675173633,133.0250653405377,131.49741250517894,130.78103645452092,127.80641086279809,128.1210704192643,125.20141459412471,122.87285882098442,125.09397306162306,126.29705534825514,129.58708287508415,129.0613432095135,133.93039096539795,132.65809698802445,135.57980438610744,134.4693106996627,134.3316149047446,131.09262277122772,132.76990389234928,129.59016540961338,131.34284939858586,129.79110476306957,131.8236871133304,130.30209943980444,128.75789594193347,127.78206461044685,125.31609206732868,123.47961070698334,120.70680723461454,120.72784894460884,117.39957208977118,115.97901539399912,119.03112138349117,117.45309251264358,117.41037945917085,118.04717824484325,116.3583556757657,118.42490277682295,116.1738262646049,117.94778126008048,115.62111308176057,118.6168515368271,120.85020305417515,119.2967932131308,119.10666912088256,115.58172996173693,115.58264285897783,115.88820546022303,113.70132760019304,114.42411709174648,114.24461456566883,114.0694719847354,115.95587777193299,111.79198969447651,113.48749246808381,112.78873114077827,116.48752462878451,112.94480783014554,113.28250154116152,109.44418206634926,110.41080305051912,110.54842521552608,112.98255938291786,111.56081160830814,112.67101912204164,115.52572813635007,115.50588863058456,117.40263566007988,119.78059737995572,118.10444011531905,120.06604605742727,120.11909506787593,120.943761999837,121.89335412840153,124.57521134838579,127.35123375077524,129.48759271768463,130.28150314901256,128.94504339323763,126.47113944444152,125.07829937009593,124.70802057448972,121.60432427201353,118.43126799122935,120.74721254949901,116.44045669328088,118.83474616852473,115.42378872948667,111.67187596776967,111.34948463755974,108.92491443217914,107.6681594992917,108.35266402867698,110.11908044592249,112.0865181868986,115.35708813694848,118.19018743923534,121.08300790926305,123.58362373918672,124.84600723308357,127.74422879632105,124.61246042974983,124.49085322841827,120.58686328435192,119.54208466016017,118.35762238265973,117.27464659263157,116.13022702617279,118.19737683786285,118.93742959718786,118.44003319244548,115.07212829749655,114.89521719986668,112.83874170752395,113.94155165829827,111.95899139439389,111.24372315082448,110.80474073622737,109.33227863300311,108.16950384739778,109.75065245258419,109.07522393810088,112.25017029700105,112.11374050037448,115.22979129063658,114.06687224445146,111.09532248838433,113.47425927836788,115.13577505890858,111.08128758137083,111.84046698316476,116.37821910490477,115.37307646023486,113.4296383359528,115.44213284548042,118.01105703172877,115.18347612081445,114.53375703436028,111.8322673742625,114.06226569414599,107.64860552628808,109.53773848515576,111.72911661962664,110.96678157967582,112.70065784040861,111.80667004851723,114.8202553083877,113.84526465933709,115.58997724645796,116.11666879140567,115.22434817571167,112.73632683127002,111.43252773864155,112.72341854240713,110.5046567820886,108.2938639661714,108.97840611863576,109.01496830776235,105.93322135399558,105.4014565221442,106.9304491563943,108.41887669595819,112.31096841921335,113.2661009522189,115.21572258371013,118.36187878476345,121.58856039221892,121.72709232094368,117.98790211743142,119.96715297317301,123.1704011712906,120.66955713465876,118.71974899662965,122.30263940410246,123.20890975935723,119.89895499434553,120.8980942035805,123.75213519722912,122.64303429295165,119.9075556970197,120.99248245947403,117.90803850653877,118.42129710917804,117.60493534618399,116.65739399065218,115.55841360915608,113.59899939221744,113.10468062387689,111.30958402835063,110.33329269574187,109.15113764840518,108.54964091223265,106.69735322102531,106.04962247122045,105.744071604221,104.83084761631221,103.43483366166329,103.18018710047103,104.37331638414732,102.07460969592017,103.19523439811455,105.05219450615148,107.06871957330428,108.59630507358884,111.68862851211759,109.48882855791142,107.5755881882043,105.04829016935166,105.53680366944013,106.5749092772852,109.63134177013603,110.5285916672826,112.07486936078034,114.32690161332089,117.51156693963756,118.75378139567361,121.87311050302202,117.83489967734745,118.22064213532096,121.81443164249443,120.1285262250861,117.55964133731322,120.51784135756178,123.9080711614442,124.18886347744521,126.4713990067672,128.44625801333294,108.34622146231969,107.85110789294257,106.90388276865642,109.82317035950778,109.15155335614251,112.01462644974676,114.19117020915903,115.24581816863186,118.22869443465586,120.54447292535366,123.04052263843437,122.58715142149816,122.47700488214572,124.18329256733965,127.09461720544752,126.30973730416075,125.39615767081781,128.86083834086975,130.9687455718835,130.3478987478641,133.22852099248405,134.05037277100442,135.5395857299368,133.62279383105073,130.9558087694908,130.27825775093413,127.23957007993162,125.578155004444,126.41986780162486,125.22143904186076,130.3721598191945,126.86277279719286,129.7628450077408,132.7165197122499,129.92828097224307,129.5153521786868,126.17808888653703,127.03540821755685,125.2288426307041,125.80596361642878,125.83333159545441,129.4500823476987,131.1210597681586,130.1945399460148,131.2293492679391,128.45117437523191,130.41262812629188,130.88801636633895,126.37239388234892,126.81202256474495,127.99449324571555,125.7723989851508,127.82177120076487,128.07885136475682,129.22812432375866,132.75982246210867,133.34490161306164,133.1166091117291,135.908772622139,137.43542622879107,136.43016776128752,138.9726834518079,138.52459489180663,141.21909519308073,138.11093262556687,135.17622728779844,136.0090358411526,133.81413261296174,133.98699792698804,132.94684907433424,133.33901359747762,136.49077977562638,136.53763693452453,138.20441184704993,135.86205116744455,140.05216133679352,136.78341865386983,138.02137992311754,135.45365466451136,134.42329334474408,130.77181842945788,128.3005385668263,125.20557029078881,123.51602278584545,123.19129364029003,124.78252446189654,128.58323093098667,128.63491162204903,131.68925937873468,134.1359361138037,134.76572560875877,138.53737510190257,136.10345397394042,133.7841705639061,130.66786275948138,132.07740362133862,129.30732218171454,127.76597261597234,124.81605930218282,122.79220762684034,123.62731871264734,119.172229092235,120.96809599992399,116.65582134218914,115.65461929955387,113.1033796398592,110.61364084358252,108.97604787290511,107.83598921076539,109.77342172634016,110.12829431155163,113.15712939319087,114.90302873628069,116.20174857248405,119.93524733781055,120.02887454372896,123.11056245090047,123.47317566654131,128.36288872047376,127.46467657312795,126.455860112451,124.18146876570184,121.71664489323368,119.48096291939065,117.20094928446682,114.55024343117792,111.54952870403585,111.56496369415169,109.69227006930541,110.95565008894157,108.11646364653032,107.65406668478239,109.762806411886,111.58844861206285,111.59817093238651,112.90342144798156,110.11158957554835,113.81425588007728,116.0202315670711,117.76850628511708,120.35288712281009,123.11694410991808,124.05966491031108,121.57240396272606,122.72117806434892,122.93057683854244,120.79199751932123,120.04420327947213,117.58730393032884,117.25622449593462,114.98954729221202,116.8339723712851,116.30947414041187,117.25412201652543,120.1322607193864,119.60263396164915,120.00074571610045,117.40387461128046,120.06941476689947,116.28132843934331,116.93991688185984,120.93308737116949,119.4315130631059,121.12064958914226,118.68243915284458,118.14234172368052,115.62061339607612,115.94748206075255,112.71132882981641,113.61445846925625,112.9939019814063,115.23447063842895,116.53214245265778,117.42952945392574,119.1760761459852,118.87905606277126,121.28794139828432,121.6673709607328,121.46118049902626,119.3253321467915,118.45051287548314,115.15084037437937,114.71097370909908,115.16124144512173,115.95431775466349,120.28993889247971,122.70789035864001,123.11127987552298,123.73227715334376,120.92619417606281,118.83985092379656,116.648474926518,113.67134013771643,111.6306818065078,109.51402589713022,106.92694933495841,106.67214168771578,104.93285423092254,103.25231439822775,104.67428687024925,102.00289275132803,103.510411512503,104.68321864768748,102.02199427580474,101.22698638700882,103.33755670761829,103.04318025517021,100.91200047532925,101.57445197420589,103.65907574056158,102.35297110551323,101.500775434291,103.8409657934222,104.41378693674204,102.29517516977583,101.48819126494442,100.02033355520541,98.89913611292722,98.84251128146916,97.98439479028623,96.40999932593414,95.91324194696733,95.4747153830659,95.49267314721413,96.81967756076986,97.53728659036686,99.45633955371667,98.89685309067725,97.30032414914389,98.88565183209356,100.01917587052533,98.71246561243117,98.40173911801708,100.1085876572601,101.1671945607818,99.37057434865281,99.21515394877989,102.54527615815692,101.17982300009906,103.60451890921512,102.46594635183592,101.43982728904594,102.86602497323449,102.01345117219043,104.527812835958,103.55055007259232,101.67668547982606,103.77164823452604,104.89484582114227,102.69875429139944,102.86530535515978,104.25451594821789,103.39019503514317,101.30797027570104,102.38495815838297,103.88782940934824,101.46007603611154,100.02477369707546,99.43183081852993,98.88926290692505,99.87301702891956,98.27928234781781,97.49121223885587,99.21457875786608,98.6456628051052,97.09197738659306,97.68033589814624,98.71451094663506,97.00860797726665,96.47368761216308,98.0571506329118,98.21142130676814,96.62216251659841,96.71474376002048,97.78221430548251,99.47649150763444,98.61681830219153,100.46886154088473,99.3971383068963,101.64728895069707,101.44765271451128,103.90069828665419,104.10512816522221,103.34231635959546,102.11372909436624,102.45408906176574,101.59414608675858,104.62549384034479,104.9403907450456,107.78234480748857,106.27197938871745,107.16801591153872,106.15017033414806,109.1839291476473,108.88014919040722,107.14411506778394,109.03541364860924,111.26052739053797,109.80248383481643,109.73564056787778,111.41221411666257,112.29591819554553,111.73684091520069,111.59799586322866]],"stdvs":[[68.38866105649092,67.95097815105174,67.77139399936988,66.14679418277882,66.17974925827738,66.14425417428279,65.28425250096099,65.70404784485623,64.92750414313385,63.75369656220124,63.55787242545441,64.33588897615961,63.37669216558037,62.62198191539103,62.47630027246269,62.588551220847464,61.79505213883739,60.853252433952626,59.36248071978826,59.54563709302242,58.39394599118565,57.76826679528716,57.026110959984855,56.39378329002469,57.47004990420797,58.201345435356316,59.22753515781788,60.295576286461895,61.112038575859984,62.2191310465195,61.7508868499389,62.85052521794684,62.866719346522146,61.979704833575816,61.8773570780407,61.171343330478464,62.073970111997326,60.57745927491615,60.17041146938784,59.4406601902903,58.69859827585491,58.64241219784041,58.239725541947166,58.03055539677522,56.98936291308514,57.05236362186184,56.65210342467176,57.42270811205915,58.36609541143607,57.43345749065716,57.987638025845044,58.32793460053131,57.797390174811056,58.845518162517955,58.212610360226094,57.89664648220123,58.08289212240645,58.46225569403153,58.28384509717685,57.708114108585775,57.97844697036923,58.38969133196792,59.08276262940789,57.736626310192506,57.66553843960701,58.77995855400398,58.702770574168575,59.776762310889666,59.43194016806206,60.32186886768826,59.829662627350906,59.389304006722625,59.833095238517195,59.129471013205716,60.11282349799553,59.77164644949121,59.76256128618061,60.26489693881557,60.1813192016095,59.64946926659157,60.565244929350705,60.23651173518292,61.392242702984056,60.52551023633386,60.61577274991262,61.20075134595266,60.22012121038785,61.350539667882764,60.452634462063,61.08320550417501,60.920071898803194,60.65402075880127,61.33051721319675,62.08261783811629,62.37519962380443,62.473049544056565,62.64239058494265,63.46700100152866,64.15055505503082,65.18868423093744,64.2485607610711,65.24847738914103,64.06429667731872,64.97022183259453,64.38874493789847,65.06382503508418,65.62181117545457,65.39770994650999,66.24716243598334,66.2378882216905,66.42867570222386,64.92193450622052,64.81562662697362,63.56819262193342,62.809960831378824,61.820487137156775,60.90992906183618,60.08818414844001,58.89671846078374,60.302635028297416,60.342864603771865,61.3136362588967,61.080026828802616,62.22661756987818,63.444950781802476,63.54383679105618,65.53985330822496,64.98378870491923,65.42252988370502,64.66993412220893,64.6863080461986,64.61001432783839,63.159296170258635,63.51480430977753,62.982967464091644,63.39600400002573,63.70246066556548,62.43844268842485,61.416536624297194,61.24743230027843,59.25179606848561,58.072180143111275,59.044503948146385,60.20467451017752,60.035727479978675,61.19274196856294,61.66679958727432,62.8324920370326,63.831595387447294,64.58434759623418,65.73867857325742,65.8686162291493,66.51003522075337,66.88165813555544,65.9803489936506,65.62735962577754,64.96702306932481,65.35673204475086,64.17732495080048,64.5175951055223,63.201555775565915,62.103923684254596,61.11922993826012,60.899718403158936,60.81701244437637,59.45603202104171,60.328370403031926,59.145547018907656,60.3764487930886,60.69627400365246,61.492989731446514,61.648133253822344,61.830577047095446,62.16880441331246,62.39534935186554,63.243562262025144,63.077823919597115,63.11557831057293,62.12135565745379,62.59504351531251,61.865369190916205,63.37648179483556,62.30715514690053,61.18001449016159,61.05036739665892,59.69318662431498,59.51349473579845,58.155457302403356,57.512090049567384,57.72548743982142,57.62287540287146,59.18463097541279,59.88816619771067,61.045637601767325,61.791242833554094,62.37005628726824,63.27446809225917,64.64924167910294,66.18021631820953,66.6388517014089,67.70330603602572,68.08795287002715,67.87375918838578,68.59866976903533,69.32594222583603,69.28681574214124,69.02259285892127,70.10495586824439,70.31348080668157,69.86868372393974,70.16611904231584,70.69718463283284,70.17493985335635,69.50429967430308,70.32400137549553,70.33631969323673,70.85842269000145,70.59085934267489,70.94750807216793,71.19395594813264,70.98302621381605,70.11869648724137,69.665959200997,69.6708984766991,69.02252379123574,68.13299444906194,67.75261562691279,66.49816224457837,67.22079235437923,67.87514757817526,66.46020117687281,65.38475718405314,66.50573221651572,66.15748066874343,64.22953106556012,64.25853300723536,65.76468286420963,64.15666214981823,66.68944583320427,65.81125643298013,65.95733422403366,67.53361459454904,67.01314257701347,67.63653121809054,67.30155997546284,67.59601039858951,68.74917208909781,68.55229809123423,68.41778828207714,69.29228369826062,69.6832346108369,69.66106930793146,69.9292665699427,70.38317980454325,70.40754872567953,70.31327298794365,70.74508845692641,70.86753440821619,70.9009998161233,70.49355082678899,69.86395859829769,69.59537160915173,70.49547733669846,70.4932806303825,69.53621866722692,70.06106723828313,70.71993806488011,69.45707646439982,68.84238469206247,69.9779317799096,69.73995529817402,67.97197598657996,67.58319136479143,68.69079502725701,68.56946598040537,68.89318528820185,67.6706311058974,68.01369804793141,69.3884303782441,69.23084348335988,69.61629610601298,69.41178617732196,68.9550840894739,68.41155038681673,67.99236711359163,67.48055298964027,67.78189606573595,67.55134762447861,66.77298253757324,66.26041902284167,68.18615842877236,67.6756908144618,68.39755743347162,67.77257919300348,67.50103977585955,68.22290592991224,67.99259353950231,66.95523184555077,67.47484474093898,67.92648393346401,67.55080190582946,67.20537141389961,67.33156014532483,67.8498763177984,58.916866332057225,60.44618350740126,61.62518342104702,63.57876608605179,63.68613204203468,62.549580754978535,63.02565340781905,61.866761866137615,62.472346005583326,63.49405218279908,63.05704622682458,61.889539260677104,63.11496183021473,64.0393903676194,63.42849780123905,63.12332013057871,64.3083103338662,64.41621978903095,65.58861136972301,64.69539551922767,65.10167236169202,64.78867488380959,65.248057840652,65.57554091934897,65.39823565141585,65.95907601436846,65.333962427639,65.09344659143538,64.10251616290776,62.99433141140432,62.995543971208264,61.80856702639322,61.226330167529234,61.49300119518235,61.76847054119061,62.852805074846536,61.937132098965904,63.38341821915803,63.8231741862418,62.853338135773114,64.34547441084898,64.4873534080505,63.608989753864186,64.3834884105059,64.63872197177007,64.77294892025495,64.23990037803777,63.7876457476553,64.1136135016777,63.290642350784864,62.40647660003699,61.361064808579854,60.94798791705969,62.39402414911393,60.12266540609173,60.666670598724224,62.514445128630726,61.62570577903551,60.82187519831985,62.23745558858782,63.00464661864681,62.756898328395806,62.629481096823206,63.56697627056625,64.08308784074539,63.585636321280475,64.833933744226,64.29425571105739,65.30314236467699,64.72482555559196,65.44153173411418,65.5826658864444,64.77594291945543,64.94138741278921,63.95892367750074,63.27178452812654,63.06292148784536,62.06989406726711,61.91504099363922,61.78959747469858,61.01310139806672,61.24907258615854,60.151185625669676,60.33119064049728,61.802101084171944,61.824519290820945,62.453423457871345,61.2705051550229,62.66351745656049,61.587481758328394,62.53747145962013,62.55703811452122,62.53009302150462,62.017160131658166,62.438281856344666,62.3232059893239,62.70061793657352,61.521599183600856,61.227094930108805,59.743548523008535,60.39293435122661,59.39205195552089,60.16507338854832,59.60682136213385,59.692971874822035,60.274709294604584,59.09600190797629,59.860894638065396,60.68889650127203,59.97996323637524,61.42775028203135,62.53642620288539,62.99509713724808,64.32385908502845,64.6273151495219,65.62783659006946,65.50202070761976,66.67240057705962,66.41083600633347,65.41451924415165,65.86453094664608,65.40581288379083,66.19828105706938,65.56645597927545,64.7036120842067,65.0444907848478,63.18282285923301,63.71847395899703,62.864089747573686,61.92684190890681,63.06548065650167,61.256934532932405,62.41255521634132,61.09057815580447,63.545350042392364,64.26788487419611,65.56367738300405,66.2403192424379,66.5335238730474,66.11135685180328,67.50416009729848,66.95575146471576,66.20402143542955,65.77154617817283,65.0648881389543,64.32077099015633,64.60876731678486,63.670950160995496,62.86749962661563,62.44298042952069,61.023371744728784,60.57860618528994,58.96261895936843,58.35051753919199,59.358011757566594,59.69595053027396,60.89398870224857,60.43843491678778,61.574458892690686,61.48401147614931,63.09933931049613,63.20270868517843,64.68446174802335,63.651728286178724,64.24827941850612,66.69240987114188,65.29526959509691,66.45472275783793,66.48175375951038,66.73437533003286,65.69460116463324,65.47827344445756,63.88641247078924,62.74568532959787,62.01600404128441,60.887160454466155,61.48079758279581,59.94750630767853,60.83237339181942,59.998027415904254,61.56393714880852,61.231221958583426,60.82680843468344,60.854727860263644,62.29500181381639,62.226508485483414,63.29439675089642,62.78367811883607,64.5661159667648,63.41355620215664,63.487316618868356,62.666416549753905,62.98574557243773,63.14452299904976,62.49571957208553,62.40848893824915,63.945189375069305,62.08057725037084,62.25970667069279,61.224916979172086,59.48339657166904,58.72992536899046,60.484924210301045,60.71381298249394,58.36034911581571,59.066813531118164,61.34584831165623,59.248029357139146,56.877382180973584,59.05320855594202,59.05003247066404,57.0119041243112,57.33868729296894,58.82075639484799,57.64303315346784,58.894647579822724,55.925458185392145,58.801948542019815,58.20448150989204,55.67991732046109,54.38336722926717,51.92039445534709,51.74209758471315,50.99899455689881,52.87459241288595,52.09088166630735,53.77152146701774,52.779252723867714,53.18518535798389,56.488216332112025,55.95906237354274,55.31841322945942,57.60672378935487,58.855412685927924,58.24784204099396,59.19782102867516,61.09637025812262,61.89197008326548,61.16783104129788,59.54528072148329,57.58365208946779,56.39658248993295,55.28463001298828,53.14511775235113,54.75875868474244,56.44497042214124,54.405088988373855,54.20502170976663,56.320546497465166,56.18963559426805,54.42401519662567,54.982429401498074,56.18944725321917,54.05737171915835,53.43367485690564,54.972685278463295,54.589875724417546,52.8081647004339,53.96472674288798,53.19729674042533,54.519091216186425,53.266640309747615,53.30318382324005,56.43764928383203,55.94357381084015,55.29575232152298,56.73245631862956,58.93670668300812,56.60563146024418,57.24927447127664,60.349218458233764,60.65968307445874,58.39715444798118,59.62499908717637,61.832061652007496,62.99148379677002,62.610644884951526,63.493886819512554,60.94989553789884,62.39553522318256,61.64506289444243,61.67139338650622,63.29170033763941,64.19631866586518,65.08766713994258,65.49183859842222,63.58376075040938,63.549563194737964,62.759379721958624,63.319117484747565,61.41096860449901,59.937525482172134,58.54234506133578,58.41630777540012,60.63556425360085,59.75258552270987,59.076111407023326,60.20471547754837,61.61185221991735,61.07574186328164,60.07136455018936,60.17416391249881,58.735439369809086,58.9933687567916]]}]}