{"data":[{"name":"Protein-protein interaction","means":[[32.2649411991507,29.018680873084737,25.4299160857944,21.987549692301737,17.90138017932979,22.678936630257564,20.618997577004013,23.560059413373548,24.72024415349955,22.38379158286971,25.642199950636343,28.112489094593858,23.182718920358703,23.225964373472955,26.653601218828904,25.833793241499624,21.52821510342934,23.817805894536036,22.89037792309585,23.390414005800174,25.274678494139664,26.528758451169892,27.17465625484433,24.82962325456565,22.09976975811158,20.464338326302567,18.46249053218824,17.84668647493865,21.492464332259047,23.692192233992294,29.232977150080032,28.959829430426048,33.477583081918645,34.846672541225004,30.85231413191544,27.359593729235744,26.310539698518408,22.77784859264784,19.818693514412722,22.8358796606761,18.45085291196293,22.287598847695175,25.719261343913267,23.906616880799056,23.347999163696304,20.423400432494372,24.100722793422168,25.968465676251856,21.80081437192992,23.578462284652772,27.82693974635969,27.55119942207298,30.922496257778427,26.545889652765098,32.059194738036076,34.141626297641146,30.49248582453242,31.78044630387145,36.252273845467684,34.67558526978679,32.20245584892524,35.50677497472919,35.630077390036725,36.11182597969532,32.39778708672795,29.83575853058631,29.1061727173594,28.33966686039065,27.097831709619577,28.082897778287034,27.465490964585502,30.912853387370404,31.944871865205343,32.267009572869036,31.972034465452584,36.92022016120509,33.5128908848946,37.326893355904616,34.56070291015965,33.18061674931686,31.584979368643005,28.603701495254143,28.30590552871248,26.227532998621623,22.082483972170785,24.015993097996343,25.923395793898408,29.456730839916517,29.24493202305852,34.867641185395826,33.62954179687223,37.681982909557995,36.13341483232888,35.60835943809675,31.95182789791521,34.634809757338935,31.432790432633062,32.17211477126721,30.66484359314778,33.823647694353646,30.637400532223516,29.980688549594472,27.597699415128517,26.257854521185852,24.581100345805243,22.30309102404214,24.829616996188744,22.127008232118428,21.086044255112057,22.58792494058754,20.470352796701714,17.472932185257452,18.398201729509992,14.535682227848387,16.406191758299247,13.492902893912737,15.560843970740446,13.357802512839589,18.80015022313724,20.30558238557996,19.381358845416287,18.91016156711939,15.357246849872773,15.182797684817778,16.545447078150524,12.474867177505633,17.2611735332811,14.516633920402674,15.999469514034415,17.171057942680775,15.757855637533465,19.264273705767863,16.270591169805478,18.68675411769892,12.975333319331584,11.11994393599777,9.895629346223537,6.564678979962177,5.977908671997572,7.345061093090264,7.830630891725927,10.361174782008511,12.690216159793657,11.31989646905331,13.95715952640523,16.75480645543822,14.803309734666579,17.77035628309347,18.559196837155316,20.908411654284823,23.501768598052667,27.07690358898532,30.777845735698904,34.58602278393311,33.60558978080678,31.00215334653875,27.31832505708187,26.030192311523226,24.09938778640915,21.16706239840607,16.10045182468098,17.99321666505272,12.21593325742542,15.999954750524287,12.389901482508117,7.951620298095311,9.75996590946439,9.590425741411385,8.647333908997833,5.303155350720931,7.81546729389395,7.708122537033231,12.423275012100833,15.931126465594323,19.1417055531435,22.69506284963789,23.37188360644776,27.36086118599968,23.611205758944244,24.261932878038415,19.49133742700705,19.374104761638876,19.91585489593543,20.117544552991188,16.766814291339003,18.854873325732072,18.64793094809712,20.953415758560237,17.116936996673658,18.212859643756982,18.045062090531644,16.20433000511366,15.727334792963328,14.967286241236323,17.064751729484883,19.07773021242295,16.59878190175629,20.38417582299784,21.128223308112158,21.79676246086251,26.28184509446014,27.00042672388824,23.436587144347765,24.897314080796964,29.136517647022536,27.653890237844863,24.61992766114692,29.032779140848543,32.64881129621604,29.289480331259682,30.390687262845482,34.16093757538235,33.53617105102791,31.577111980654102,34.80487018264166,32.44539539568014,37.25008295610518,33.62853490428027,33.00426942280691,36.860592267016784,38.772677716599546,43.65881327208413,42.89161461099406,42.23795362739747,39.27706409655612,40.28581768559032,36.84536000158969,38.790946785731165,38.74828326658923,33.02213973368337,33.17944305326948,35.16671410166146,32.25031665365766,29.018634434918905,29.85021352502462,30.602631208742253,27.680513925729397,23.42967395333751,24.600358407944984,25.44659694079448,29.302058605884145,31.712557232609694,33.34621218281954,37.857042392668596,34.38574314950609,30.99070266121325,35.21274892960234,37.014636597652675,32.36924798656441,32.71793654686187,36.830277313047084,36.181741417355006,33.737953369616356,37.92367247267051,40.02030447101907,37.62677661512047,37.98980041413396,41.10223799731037,38.581438471413314,39.23665197425331,36.20300892274861,38.28947751489995,39.19104361025775,33.71439550721295,33.96790691989111,36.1614264434477,34.245516451922754,30.039027539254807,34.552755556753056,35.02706110639393,29.98458943240243,28.84290250552183,33.59189939525767,33.513434828999095,29.967078893489784,27.459476370435258,30.450293796540116,29.037155132147102,32.136779853641244,28.154360658079657,27.355901054127532,26.163630132236484,25.049392996466604,23.042493329638614,23.313920705743367,21.006975797939795,22.935727928668506,19.14177820498678,19.12132114223764,17.00406421750764,21.707526878179994,24.49169966408067,28.231103129702237,28.361653462493315,24.541768088846123,27.883966122396927,31.06640245283675,27.25657608361672,27.427768202513533,31.942719361575797,34.97330789745372,36.19585359579381,36.82923055002871,37.72374425688438],[29.30905310273095,26.035455423940405,22.578717991272505,18.968675913562638,15.234489884340036,20.381309328852417,18.768035099778917,22.157365749929138,23.32112045926607,21.44743154919639,24.92155370673737,27.496667237346955,23.005152771789188,22.819273601191263,26.740665932779212,26.20038699074421,22.09786227568534,24.907351483933077,24.415261306665975,25.28614909252359,27.43996849485692,29.069309039669115,29.74204443593175,27.50187542891563,24.7449375979639,22.683210000695087,20.589874563717714,19.36172439880411,22.76184040243785,24.606192506997523,30.109228523422555,29.685360033582963,34.22675450664901,36.007928430911925,32.129076445177354,28.817280140813125,27.62526497935597,24.675692362283577,21.97536649203001,25.385476685390366,21.19313346171788,24.824988266485082,28.455671771993813,26.874961654031623,26.45705799309522,23.65071262138716,27.383710494295382,29.151690605155864,24.87682298057677,26.79195785812006,30.952761743132736,30.518329297594043,33.87993175617078,29.368076012013535,34.70675232320099,37.020023021019,33.371964321577806,34.36353636366253,38.950528898524865,37.59940239170693,34.919948608154165,37.989866911841084,37.84399206290878,38.482752206135636,34.906849229422306,32.13185909822692,31.0736687945266,29.946897253443993,28.42744623860483,28.954881130066937,28.257339240882132,31.640809679255092,32.88755932213595,33.671511817391675,33.32002043674015,38.55882163903652,35.39435024047508,39.12324954537716,36.52153719935526,35.403987265353635,33.64082311972704,30.882842706743972,30.140018809178155,28.316214765801746,24.29021247678221,25.92532270488392,28.051370187032713,31.204369281045075,31.090107522155797,36.46170284469837,35.06493496057413,39.05362085550834,37.193363199655636,36.41394623305851,32.476813472844356,34.91771947780764,31.43368591302301,32.38863116375234,30.592902781200273,33.50965364181361,30.935419508708076,29.989894290073863,28.223696243779493,26.477413617059128,25.280129805075987,22.348994693611406,24.73318766942592,21.980540993585407,20.281023030096428,21.903805679377967,19.28771401517272,16.846941979132623,17.382929728893124,13.923606053887944,16.14780174529335,13.374473535135607,16.230720845214133,14.308045410475838,20.168376434704903,21.22999819356745,19.81576692720453,18.835655231586962,14.84641337582316,14.2325104774095,15.104632154479285,11.05344763791813,15.513362631652686,13.331905189594277,14.985238052533436,17.102624484659163,15.232523294684256,19.214562029994497,16.85413569163038,19.44022170308295,13.609517837547315,11.234476007752779,8.739412446943824,5.814618713595733,4.991662905267869,8.177617426872937,9.276108989977615,12.852103841923691,14.8258361049219,13.103945982212808,16.099275214629586,18.217622889494336,15.7668673253496,18.219277667531696,18.62486478020473,20.337971166071412,22.74552124020764,26.10792072104096,29.966253676343705,33.418925846078224,32.80096590018904,30.527136627931338,27.00031451386967,25.76155777249377,24.308590683549237,21.328085129863382,16.795406758080603,19.351401525653795,13.939302787303395,18.14237446548949,14.881675865307802,10.834006906345042,12.062971499088977,12.01826767219839,10.04592578970668,6.672421223290982,8.970778374133776,9.10714909211882,14.163865995486331,17.489568182582726,20.621750908789462,23.843895558075683,24.421016578666038,28.649043772666612,25.318710820418314,25.820680405124925,21.377229767332167,20.347191256970987,21.41134143877056,21.954831281331913,18.759221965594215,21.44660192740086,21.360391607964008,23.910471604638193,20.32322046799127,21.155221551580368,20.787308625156626,18.725104224296384,17.705489110022857,16.36296964578226,17.994182683936085,19.445055077021216,16.3056763486748,19.858906140357078,19.89891023040902,20.606079955131413,24.869819447399124,25.540022622481047,21.76721100171338,22.89208020999308,27.20167164489255,25.519820660198356,22.041312956852227,26.59402336926695,30.358724867030464,26.642928163710266,27.58608218978049,31.4422589204177,30.820495759248978,28.60286414948612,31.801913895441903,29.460270943269247,34.41031126103399,30.81197704011161,30.383724798712116,34.31463466365906,36.49713503340568,41.30402703831817,40.803997929437244,40.37858283924126,37.63036659809986,38.926034597721404,35.67271235276818,37.83563696239597,37.49152605389962,31.636554202444113,32.223893029560564,34.26237094636945,30.997836605956863,27.93918039628119,29.251105668814,29.66793248750528,26.394963882851798,22.733596930768325,23.28450923794607,24.758329848543287,28.592647673174305,30.620355940950237,32.55268463473258,36.84555166900688,33.5752370535071,30.015134856423018,33.83961224458093,35.73208751525114,31.02025684587994,30.99084123328334,35.040357117653436,34.31116492917499,31.61143124555245,35.834037081989216,37.876093624293716,35.262774226749094,35.547929741856606,38.75913190723648,36.257021075363504,37.187876441770655,34.38124518916816,36.58225966274342,37.11982322201255,31.540351862216912,32.18252850759016,34.18604634859062,32.03166127976409,28.0638557123046,32.80593226233366,32.92051764522806,27.72638499412027,27.05252999847199,31.837701707850574,31.400035388329538,27.69174793323886,24.84702983680397,27.890564747600592,26.17403559692174,29.233530213654692,25.07067068091882,24.45426934836593,23.136450573093207,21.821623929617363,19.967153861346716,20.389918534831565,18.33971214528879,20.54770272072453,16.732561104561736,17.38224964713958,15.013608809659607,19.460345591537646,22.84562484184698,26.486695173591837,26.8245275882237,22.635447905230528,25.622871929202038,28.976989052087447,25.292243317441372,24.90332327328186,29.43369823299112,32.530491748409545,33.793917196070595,34.436804237362296,35.24914957812154],[24.80078125766937,21.583858212210142,18.541788080585064,14.438361063220942,11.703061350277565,17.023515199604844,16.165296725350746,20.18349145515559,21.117170396443917,19.969640160014713,23.608409493586915,26.344624950196195,22.66703847043255,22.022858341554176,26.560565315158673,26.508829190254556,22.815719596609917,26.240274153184515,26.353221767857406,27.78057838449326,30.254670585044448,32.44878848418533,33.13672808136984,31.09698468786095,28.336769170759112,25.675660961029227,23.55433824465389,21.524393636485094,24.48996007540079,25.840891534225396,31.035893796287116,30.522717443339513,34.977778271753536,37.31582454443207,33.71068572397087,30.685662472137203,29.430792264079145,27.321099491867052,25.088529106183618,29.110524409307818,25.107769684786973,28.31046420697126,32.23087110484848,31.040897033245393,30.83006196794857,28.26898633756125,32.13748715145995,33.69896051703373,29.319990213948415,31.585082631782058,35.54696309596411,34.926169370487706,38.18310730684718,33.46477013039514,38.48988054888964,41.0798766933588,37.378273725065796,37.900482478085536,42.632581694690046,41.61158668706272,38.56378653435953,41.215268959290896,40.6459307493525,41.48606681152162,38.168564935376665,35.11343490709309,33.519988659016136,31.893837535224655,29.96266877824449,29.804160670184093,28.986943454432733,32.18756277226062,33.74233687982753,35.21186368593547,34.814574183645945,40.42957136821446,37.70661250886845,41.292517288229135,39.01212518502427,38.33598478475374,36.443253610055166,34.12885904910447,32.84338389588899,31.519742652489693,27.668893543963087,28.73342562977621,31.000645712179292,33.58504318720264,33.48635939207961,38.416093964327175,36.73330367266121,40.53556787458772,38.232916723018384,37.11841021927159,32.83438836996266,34.83794657633244,31.001536535571955,32.35959850377026,30.223535279220616,32.81546970846082,31.234438921503607,30.057203402900516,29.223591050364334,27.12239749541095,26.84956482700899,23.122460090473353,25.398136970929915,22.838302448688083,20.188169175619365,21.695264407663743,18.311384697199234,16.75151229468301,16.37626867049266,13.787568113672622,16.089433707765586,13.74892785384181,17.401176533667822,15.975125728476833,22.022513033569037,22.415338090702946,20.355293944196436,18.696197350250042,14.366044170060851,13.1733132059681,13.24045201852653,9.977262475046302,13.585290410768822,12.809569383482401,14.829498051593538,18.22329500229935,16.156712589150395,20.60028433473387,19.272405625723888,21.70140913802248,16.14799172769497,13.130818744014183,9.608109801373883,7.83743175013377,6.795523858101912,10.800739060368441,12.189713506285674,16.603515225288703,17.99768996788719,16.013867441579645,19.321625745873195,20.491779022475445,17.532705822646278,19.18969060926772,19.17000007700225,19.75755238045775,21.927949916153246,24.689114285966998,28.803477596506454,31.528277827724704,31.404000028808177,29.74695913194288,26.50564141569778,25.535617523906314,24.735337661374565,22.04018319800085,18.505922261275394,21.618808788375954,16.983355338750165,21.54302457671376,19.085523825294104,15.496701057574136,16.565681251063275,16.800911159576497,14.190443530648173,11.088620761913702,12.722316239406986,12.690736328172333,17.603514145363537,20.441839969511513,23.22296496705198,25.903239262935486,26.130059235437976,30.70374588630548,28.051448173338347,28.47856009653064,24.66026970137865,22.544397319789176,24.463698785113994,25.518387462048462,22.518958380751428,25.661681497910504,25.496512011987097,28.471032560221033,25.20642956867062,25.961832989677934,25.559507193690038,23.21582043988213,21.839539641720325,19.940727643161996,20.976323647939456,21.739436512203792,17.833127689260312,20.754770730702575,19.678196852791682,20.16673155210433,23.97941200121388,24.334398108237036,20.295122113320726,21.009794058323195,25.24538288002713,23.055064646807548,18.99666114406339,23.772552339000843,27.54942607910584,23.136824082764743,23.901156517173703,27.8512124343804,27.041891732500844,24.396397639660993,27.672331450516346,25.514545363181863,30.693502126556535,27.45885358589541,27.32223297493108,31.297526243785814,34.06488886556663,38.65322660471358,38.686797068636345,38.55909630244375,36.21275783794882,37.94800165006022,34.96517150745305,37.55773143172352,36.81720505213374,30.78623971283295,32.04536915443139,34.28294265557309,30.556048934160824,27.783287423723948,29.833212994841027,29.88143710246149,26.128584053395283,23.440896137946737,22.85079724000577,25.080108018308767,28.787442823296963,30.063327593936766,32.32740405662168,36.144190095484426,33.13472238805314,29.4291274890471,32.5753525101756,34.4363574355521,29.633039015155262,29.084960556569417,32.86417397140587,31.901059802027795,28.886877455492456,33.2191108947164,35.03407969047884,31.98452586356973,32.31426945637017,35.731989618647766,33.3828657009325,34.817369883826416,32.4320954586373,34.918935264438296,34.85234716930591,29.137688548657792,30.531826584033162,32.28113852015241,29.728635918248393,26.29779891212637,31.44622796648375,30.99676002453807,25.601305889004372,25.841972500028625,30.653235095855386,29.63864733190551,25.697855309163256,22.20072535752897,25.42762169430137,23.064102719037308,25.86552801393195,21.25638571068793,20.920834040999853,19.09262869546866,17.532692948642683,16.221058573418034,17.19991847807674,15.788680400810636,18.300041741091665,14.346620149989581,16.19813008465825,13.218013137272996,16.81948225422835,21.07940652308262,24.466803250105823,24.922723705531233,20.23106365647102,22.621400882022357,26.082718020494603,22.49987564826336,21.237279585550397,25.829969123071884,28.93855642572145,30.248186791717806,30.964594799652627,31.698494199445697],[22.663409016980243,19.403842497246455,15.829005267532148,12.470287726786562,8.189070928210754,13.341804526519844,12.173630508314911,15.835588224303507,17.488295933789825,16.74856444782222,20.51140190278315,22.683495815647376,19.20905431542925,19.411407342017352,23.770231687659464,23.387742960735494,20.202834701130524,24.043070366288884,25.073466563419867,26.038045838938306,29.070217640956127,31.218518958982884,32.43856920714656,30.89162848572488,27.64672711408615,24.924351505380084,22.142125116694853,19.660132677394188,21.94956684635954,22.58225758949285,28.19625809991314,26.94520182079158,31.43170304732709,34.0746222918754,30.429278227387044,27.818603914115066,26.001822657723064,24.69841059971559,22.724546561561656,26.749765379906414,23.574982959268933,26.748866683614924,30.58306153241886,29.898841550596742,30.33607788782061,27.955133944802473,31.975373936494975,32.908980853121356,28.091290456648903,30.74636890984568,34.214920791297935,33.12668725550349,36.28660571395893,31.421078346451537,35.99189108142415,39.076511207044966,35.65096796465794,35.632925822716594,40.44866851061987,40.035663704381165,36.94310011150312,39.37510259862235,38.5743035748878,39.98514669030745,36.764847406514846,33.30859817111052,32.14498906175827,30.03439831185923,28.673872604859742,28.092901050713238,27.792479265811604,31.244615662335786,32.22508626193188,33.888775351515505,32.799735810864604,38.39085373117883,35.4969350400023,38.71601723752523,36.35709904172617,35.793262286955006,33.41809719306686,31.25444520338789,29.347342393243483,28.286494958293975,24.753924564405292,25.563407845704003,28.32131880588962,30.338031180113134,30.839892299343816,35.41258854427135,34.0483781713404,38.03649597281155,35.56688911513129,34.0985388782926,29.78461229676187,31.90206472629746,28.095600135016557,28.7924696985094,26.372618050233932,28.537839005210916,27.034331458469975,25.40035803121942,24.869684266587374,22.40117231951245,22.407650055845025,18.402381964321837,20.77859836237779,18.511129369910243,15.677152264136662,16.84238214456821,13.384970675607232,11.894507286679568,11.779118878633867,9.668005487377458,12.94905454125085,11.659015827609352,15.638447671562584,15.393495956496052,21.48008552359453,20.916435140329053,19.24299738454486,17.058291445055485,13.514653296987648,11.24391909381353,10.195931567655949,5.90677377670058,8.827081472902046,7.8795814322988615,10.186900939304996,13.874671068856166,12.532214077919486,17.09947601662945,16.371882222667388,18.04605230156548,13.017699904895084,9.408960471910113,6.526529738566912,5.424790344969367,6.156883716530392,9.33927800894148,12.921831995652205,17.128333240750354,17.410450103285225,14.630214998387952,17.562237297271945,17.88887592961697,14.756804082991883,15.568222010799381,14.8934916791414,15.373120780503363,17.142954518096303,20.198336025350123,24.068294344225983,27.11205655527285,27.070588312045086,25.22321404122767,22.14403298473352,20.852214379081964,20.451208783878787,17.440438461109235,14.503682567639226,18.254532869437334,14.468800515932235,18.961308296047598,17.25754977563897,14.82741294278829,15.564775002436706,17.071477476442873,14.253675035611538,10.94626546070589,11.232616711449603,10.589256129885982,14.864397636236136,17.118900310874068,19.614777928922315,21.83080368720788,22.15382344179234,26.643817147016215,24.46440324127712,24.695034388948088,21.468043502076746,18.533652607070987,21.17573214793492,22.80368923389603,20.001733281587047,23.551948375971094,23.493390521825837,26.92955974519653,24.67616101942402,25.032437197562952,24.936671141793134,21.870155282845147,20.572532620917748,18.30539287007602,19.010921067178568,19.810319383008014,15.547815106138454,17.971550096864988,16.879792419089473,16.431110889202728,20.58138328919825,20.337764440658816,16.26877589450727,17.888044550667622,21.872393744026546,19.39668023387773,16.303863089864763,21.095240738459488,24.229212196844028,20.19870268478924,21.58199130751943,25.331306301798175,24.20883266621888,22.2811148848451,25.921152429922067,23.975907832980408,28.777381238199666,26.42462029685527,25.52643283437378,29.238747483176617,32.03678586691086,36.682780858557926,36.59574930795866,35.88456325726299,33.413653543080066,34.921488815507864,31.58922028574407,34.514591069938305,34.18931864430116,27.97306614118251,29.046158441818765,31.897950137155213,28.448730361624943,25.347450823077622,27.431515363876848,28.342970389933555,24.695495495002167,21.4891763243148,20.379057192494578,21.69718239730126,25.439595737718335,26.423849999747482,28.33097641973541,32.06800138881347,28.754783730186908,25.150577753708767,28.54845332686679,30.085048392553528,25.17031509910576,25.049955986843365,28.76247363414693,27.737091363021666,25.067722685951683,29.55703390430442,31.29327583772275,28.455170802130894,29.12643996746386,32.519577759394814,30.325987305602357,31.513463457330506,28.886212685471346,31.636164911977023,31.961894331274173,26.226146189509137,27.532563648071406,29.826613441209744,27.469322469820174,23.925475806396122,29.346404417976554,29.499121745648164,24.142923164597043,24.238143362230872,29.391293602673176,28.923962367269645,25.097604898744823,21.684159201580655,25.70688572260825,23.63686984057877,25.70246340703974,21.026258074344575,19.638207525272446,17.419216107074043,17.152259145382367,15.702663100552176,17.321000641363828,15.29392451756081,16.561435561767112,11.621718056334831,12.69791927971301,8.971128728071239,12.866571658834355,16.53656165262216,20.099283450083995,20.24934082274638,15.769526557836036,18.720595809351977,21.969273855763653,18.253518715548104,17.79103840176994,22.401567996594864,25.519859256294513,26.896405492455898,27.757536301561412,28.811246332618147],[18.60930733937728,15.597562985044942,13.150526263290866,8.238490179716448,6.991627807208317,11.285601705437983,11.270735264115777,15.746523377530684,16.385450104819892,16.356764953816914,20.019970409761317,22.638406105109887,20.217801685371487,19.36315782034264,24.318754541248865,24.727093975513444,21.913481973590514,26.029014063610056,27.242137126011905,29.020884964265175,32.03628171527786,34.806488604093374,35.75863248551313,34.24794378732139,31.28424489267336,28.00545428571915,25.620793924105833,22.637193488671695,24.684957691234356,25.15579980080518,29.899510472575844,29.06334369745923,33.27385163449257,36.30918120354688,33.122723069354244,30.666626491890923,29.235413702126678,28.437584318735727,26.93117879925539,31.60818388887775,28.177493891310785,30.747184388992352,34.89924395709135,34.42166846603182,34.759505413618186,32.661717763805036,36.744590910359435,37.7077278413852,33.13295729889455,36.05448531354916,39.479652119649764,38.48874980376865,41.46383520916108,36.45494568261727,40.85628860108619,43.92008808073395,40.24985756998388,39.959726790919895,44.85140015181251,44.499044937408584,40.976801190736765,42.97410729602129,41.795195734939334,43.116018437533874,40.2058381520128,36.69380506287385,34.709826374220576,32.32445706475948,30.269017609546506,29.125356168788365,28.47576134386185,31.50908310158864,33.04850351644766,35.36168963723863,34.57526570618934,40.49057397660379,38.270252560407066,41.467932785300434,39.59609339186109,39.52101807360677,37.38195866926058,35.750533969539376,33.709074476320914,33.17953177303131,29.693280297093263,29.894869985297326,32.34696933724409,34.006107134735345,34.08605342727571,38.24097250093297,36.3646816364077,39.93561016960792,37.09334053019317,35.472714036967155,30.888796293734273,32.36676544362144,28.243227549394607,29.797262551063344,27.253840373375652,29.306797749007444,28.983610855549852,27.59886906005092,27.952629675283326,25.635616637602446,26.74440440116626,22.330028964532985,24.688729425124396,22.842969829702856,19.298284024974265,20.03905911291685,15.889251446382586,15.285767831068,13.57486414591447,12.549794590825085,14.714346255201605,13.62165294544269,17.80165119635509,17.588556396082147,23.40633385865303,22.55909784812687,20.11315849776856,17.542771623494602,13.735541418590875,11.48870767086465,9.974403727762303,8.569201773318365,10.220973906325613,11.732164519212109,14.292630597157425,18.655020925427255,17.39665842099837,21.9673671220943,21.868336979692568,23.382127923519597,18.717817985753992,14.993550613820972,12.05616082217402,11.12001868995828,10.323728705322113,13.660963960448706,15.991870324760313,20.720648493773012,20.929312048492555,18.498173424182554,21.767320696992282,21.54641940822802,18.227015011231117,18.596560260848634,18.006250449459817,17.08584952672575,18.86455284147007,20.64869379990268,24.963842291341564,26.739962728359544,27.13277725800844,26.24317435661242,23.475681392867845,22.93290824406872,22.955985701115445,20.919549275502415,18.94351486302921,22.441230491878038,19.232906569565724,23.898680702280494,22.790871802276335,20.135549374460485,21.30083220082507,22.43365767866776,19.626255715321335,16.38398495286121,17.05542886770288,16.242925597538896,20.451836928511707,22.388007412231747,24.43570929351895,26.26313634973913,25.922118903901435,30.788250511739435,29.16873614347374,29.58432810719034,26.850047070731723,23.54987431902783,26.733069633009592,28.56144829369965,25.79177466291855,29.19591911942252,28.783043690291922,32.46663921314168,29.993644357217104,30.705992748955843,30.6343417580192,27.698333778027408,26.375264757738133,24.05018218678834,24.559714912515354,24.92894703458432,20.418828002618273,22.331825549390448,20.275850966826134,19.710159817557507,23.073205872822143,22.432345854796782,18.264710787952847,19.247371740809093,22.90459763438793,19.7214686491881,15.92257258495751,20.849462710349524,23.833752779364097,18.67645474793367,19.768592110423402,23.589223819473997,22.01561344653457,19.29804682793236,23.14558348357023,21.6317891077846,26.774071568332953,25.032093339685108,24.708829332125674,28.411526558234993,32.008535729537634,36.24573798741986,36.91485856901378,36.67761346526791,34.78483909272939,36.81445539027075,33.89636019847849,37.21028495144936,36.40184467816395,30.169060544341356,31.97687135997181,34.8701375695388,30.97188544908927,28.332634945946072,31.079321557512497,31.413918330694514,27.37671176658308,25.344644018810868,23.292601568739165,25.43197310191296,28.90407298851845,29.062757313654963,31.268944594136954,34.35205629586528,31.38391157883545,27.753462667399155,30.235563045961015,31.61494303213657,26.686351499760633,25.945469124219926,29.10133119870812,27.67089532143963,24.66532406086456,29.28541100909159,30.562708894503597,27.004544245882727,27.88015231898338,31.58291801463465,29.704790647290096,31.641125519335056,29.676787664863255,32.757660084061065,32.23842778912494,26.450920502039448,28.773210828615223,30.623359633778602,27.76756742836171,25.086898469117347,30.801288583148335,30.139889574732518,24.691914771595474,25.948620570469412,30.890138238861294,29.620645200144732,25.605981756689822,21.458180582842296,25.364992388338422,22.412030077229563,24.16653712759663,18.933079784727838,18.210534113838182,15.053574876368003,14.324887205610523,14.097718563209618,16.457666867164654,15.655746980469498,17.410498538532398,12.820687844161332,15.450535457570837,11.368649074477183,13.234173463364712,17.87909781506053,20.892136163489184,20.910415876008,15.95573178775702,17.916665385268104,21.048891356632943,17.305800920129933,15.477929700800145,20.298932702456327,23.194915285123265,24.57176129703212,25.51085903136132,26.372594778781064],[22.583100516613463,20.004538395825683,17.771333305053673,12.857581849406834,10.86118539399149,12.704352125329999,10.52318485426038,14.361958337039034,13.875476414911988,12.083354420258043,15.556103116569753,18.7349922883723,15.347235551231437,13.968847534457215,18.811799186922407,19.301950701770537,16.003779637673222,19.881605039979995,20.899578873494306,22.965256444356356,25.914724784147715,28.983220398486367,29.84487485518535,28.53398101020338,25.63461571471738,22.040710422818872,19.85149407299558,16.681183438711468,18.85124822903985,19.825057653890134,24.147999291135147,24.045326120520585,28.22750603044224,30.891019559587587,27.79600346171584,25.0314158384004,24.227355104385452,23.06824417796231,21.821967296303704,27.13386597411562,23.345213770638907,25.26235320992895,29.632175146159177,29.412151417945392,29.843317338010685,28.26323933797954,32.4431670165681,33.08706045134989,28.82112550551775,32.329443576745895,35.42968307705088,34.62335251142388,37.22148772320383,32.07378773739013,36.344372760185195,39.17625404825756,35.21199124949866,34.77536424520309,39.67518524244499,39.279219697929584,35.408912593961304,37.14330844919284,35.84903530005726,37.01725267109448,34.25500587505996,30.775682964862284,28.4388761687649,26.082765434124514,23.855194569919618,22.83298344328001,22.121796368469578,25.24374370520601,26.750853679117842,28.959317732187863,28.34288530345941,34.2851501158467,32.23225587070634,35.59562626730616,33.91888856323395,34.018551888075855,32.34835686758877,31.072487568540605,29.51725560766106,29.395600640942657,25.673152708276646,25.340867505984995,27.162448551940233,28.996739390416753,28.42773079897551,32.68076199471032,30.499329263716245,33.94145956585586,31.236202819237825,29.928730491901106,25.4396676949224,27.047018416206196,23.052214160875327,25.013461903293138,23.008214186038884,26.05115374347814,25.005927349208037,24.819349748546284,24.385281718595458,23.34315227341718,24.818057105906785,21.173106633233875,24.59880705624727,23.30026757127208,20.504131800716085,20.273426966326824,16.381397064612685,13.857375857214056,11.367552534378817,8.949960126069522,9.378042703806987,7.5813285198417795,11.606746556628973,11.505384238791496,17.11272766880518,16.181429976054265,13.682820619877837,11.255523058682684,7.330686829353517,5.330680152165623,5.64132666707199,5.860268697081617,10.440146334540668,11.514451882864673,15.050205240374408,18.34100758837565,18.665322713069337,23.04336174369017,22.21390951070524,22.827418968362664,18.243357173664364,13.863710458570353,13.113575472049147,9.77751631609064,7.470656826784046,9.520090872398479,11.42137290151157,16.06564181015867,15.528743998151338,13.3230486330304,16.711496019268942,16.23331732985657,13.004227771293863,13.884248028191477,14.434287860500834,13.923799309136434,17.118459871464623,18.695122154305107,23.492876451837365,25.54585294370083,24.797102188463338,23.608411363072968,20.192443056644777,20.374889133810328,19.187833058525815,18.307259509404094,15.742410864447216,18.04265508848929,15.050110749576197,19.788547409383963,19.667602401728548,17.246668362021754,19.716199458404045,21.285766664128552,19.534918710354845,15.563881423781956,16.27203826971629,13.995216632131404,17.845648228172802,19.49985701376628,21.047711729723787,23.145475412785906,21.953817192754343,27.27257543908376,25.527247449981587,26.644933510463744,24.043067211112845,21.592305114722468,25.20767800156658,27.117967085946578,23.93624485155656,26.28359485665974,24.973588423533567,29.12429268915948,26.673139046737877,28.204642744050563,28.898681548888856,25.863753675013182,25.645474731391733,23.96044761449172,25.131386378723825,26.45618667848715,22.394780145490248,24.717716437036163,23.612102635152176,22.42218650320855,26.567906130595546,25.444579820856077,21.358563505942175,23.549719335294245,27.04388188737037,23.662125539307432,21.010309587530344,25.902540463799525,28.199252954256114,23.417708580568604,25.12075519100326,28.71879883781899,26.600830397390077,24.464036437434718,28.713573275109113,27.481059426588686,32.37340985693163,31.129187815826093,30.40828077752276,33.9465584082498,37.42695701505288,41.76357962410621,42.19754502044438,41.4311768285822,39.2430761226678,40.84273314664965,37.402573842572366,40.7401004045182,40.5448089386169,34.2289915233332,35.41405620162201,38.636805346010306,35.20328299432528,32.09621458260022,34.27705758914466,35.40473640950815,31.697538858424338,28.54287559149695,27.12502452488547,27.98113329020897,31.660205086137264,32.13901855059635,33.6468856117685,36.97293962919897,33.27760045655013,29.93333988123733,33.242614221438245,34.032522202155484,28.909703652947375,29.17224100649992,32.16964550495813,30.51126049985077,28.21338606437858,33.1111941117458,34.1245748151976,30.683942410389047,32.256482955550446,35.972948742037325,34.34325248567784,35.96056118453505,33.61592800528514,36.889020557490106,36.96452846907372,31.19767292833205,33.15139425391241,35.55264663223276,32.9773182366342,29.944077362875127,35.6547321336471,35.58585523060302,30.179855097333437,30.85641368796905,36.00565450768192,35.22374548620274,31.288374801653724,27.400918262076516,31.389363134716945,28.66016679159832,30.468799126138745,25.281651610985307,24.227433981275077,20.87889138035557,20.649935924781843,20.323228992139253,22.57496702414636,21.30598939199395,22.663702167690698,17.483270124583903,18.84946156978001,14.196188815199921,16.77620575870058,20.037005083278242,23.45379434591812,22.254611177945346,17.947784805886993,21.149756530496887,23.447348060623217,18.616874627245878,18.514011346299384,23.692446091766453,26.139604028302774,27.61100342439728,28.78460159391073,29.82977857524645],[20.103011447114866,18.012700428584658,16.576793006935702,11.528533985211244,10.959075885314903,10.470459245629545,8.382553604356438,12.201070819270337,10.69075957318073,9.48125465272953,12.790465420768037,16.11408429253609,13.860546404175263,11.939038350298693,17.098095936502578,18.1318777833895,15.678481510901026,19.884080355186136,21.65795928727366,24.032739727134857,27.216657949208003,30.675651493668155,31.63037518289522,30.7082400463663,27.824585609338286,23.891704190941677,21.726214455884417,18.037334405241197,19.38873378325768,19.730769271425466,23.322573835220496,23.20995419795823,27.064335334442458,30.165651809690786,27.52065838279195,25.200144721668703,24.47159542170319,24.253333608133893,23.62260278941915,29.284535555532358,25.891546075616073,27.22034444362926,31.65691138928528,31.910962450287094,32.64083169660839,31.428026392774267,35.645686740280986,35.925674898263914,31.69319817788027,35.56035089225361,38.28841817184581,37.320974082405264,39.66067776877234,34.41361652559111,38.200867689025706,41.22934940833494,37.28862948284773,36.322547137951,41.241952513110064,41.255668785981406,37.07097369471552,38.27329459363347,36.54310348711093,37.96656756336483,35.58092228864839,31.8864047390399,29.19052871323807,26.34556154834183,23.967053910750963,22.173246910859163,21.54674147517258,24.39972139112571,25.940454040009875,28.79084446683261,27.987937383052238,34.07816364773196,32.53024956617412,35.59511563035837,34.323306489760164,34.907608968776195,33.21795900230186,32.52074958848789,30.59136220328377,31.080540999890726,27.6546991344218,26.665000774476976,28.414396677949046,29.575566296775815,28.974036904244997,32.56196173955684,30.156578497758446,33.28991405019947,30.211003928735817,28.59414405713953,23.92952549575855,25.022146815760554,20.822079827057607,23.177893593804573,21.0077067339635,23.839447043623125,23.772438216923938,23.774050554645694,24.1413136246375,23.277077641107702,25.782939649337916,21.94150986588901,25.467613214867733,24.739664120725354,21.617572928989457,20.74248977783189,16.588859574437013,14.5626428443745,10.934833746808431,9.9518218918686,9.51335172115327,9.0960581359261,12.79699123762796,13.634389788291404,18.43253625820889,16.58530248532154,13.84143911287657,10.78984278504783,8.016274110512297,5.5106261633794515,4.331924042695568,7.802027190953168,10.472500390474519,13.002288818719585,16.642585622936977,20.15260687369295,21.02337610715257,25.30116615632503,25.05338973541726,25.12751285353288,21.15780788151188,16.650937766626004,16.236725902174975,13.490441947703049,11.581025692851947,13.059789164657085,15.029993504522128,19.462155949353413,18.280219840334745,16.07910881934084,19.190414399458838,17.77039222554396,14.589126478807607,14.464085153600491,14.792424843708728,13.017655591803438,16.12599721820298,16.571692951740452,21.619907041271667,22.791486387882927,22.157522320249885,21.663519971719445,18.570487268297743,19.403708398250355,18.641374106695856,18.676770406606693,17.313870737569754,19.49670383379879,17.677687481097855,22.1896082536386,22.90703410989511,21.008144727712644,23.482359122308463,25.355139978800427,23.53730592493867,19.600200728373125,19.97648490052949,17.497047926132975,20.785438829819633,21.836834852664808,22.790827714278333,24.27710491589689,22.54329585670029,27.995298820906655,26.993964635667282,28.189125019766458,26.352163390941648,23.391596523903335,27.66873139400878,29.953145130459305,26.92889603881882,29.258919343248465,27.744872624208337,32.22701586429965,30.206398206604778,31.768826586194827,32.65474158569782,29.38876685493616,29.252153458184118,27.425975179880602,28.370376104420938,29.529770420939315,25.273522547233565,27.114609739412074,25.611831709550486,23.876261692496936,27.715113466797103,25.983644109455106,21.996037157756707,24.392263119651453,27.401338453506447,23.484059288489455,21.294368879563997,26.042626098714564,27.650642952991973,22.593913106994382,24.532220390168508,27.867620609198095,25.171122977709864,23.150665499565722,27.70088175145722,26.99522842652416,31.688077063746597,31.448994653015475,30.635011971824913,33.9068485969328,37.82108760340781,41.877098453992886,42.68260168761279,41.82637715590767,39.91982378517445,41.63682947734754,38.23450935806996,41.95404088382759,41.77079661562795,35.41962751193666,36.84527275819786,40.40911040621277,36.94776439353867,33.92732996966337,36.406981495047454,37.69759370136017,33.8971960274392,31.058827074190066,28.991264103621845,29.701604667565597,33.1989394231163,33.05787224923208,34.42146243390359,37.25637205365384,33.55240967507625,30.37140903608793,33.291567465065754,33.64853907701337,28.5248894061559,28.816406917255243,31.265267439410472,29.252524754561147,27.161409824573575,32.18831141490873,32.73330191517805,28.994223688196428,31.070524957582055,34.91280569110425,33.68701703086287,35.57343726808269,33.50963314972208,37.12298209465416,36.970629815511096,31.285969444286962,33.72804178129572,36.187762567806566,33.503424727349646,30.94322531800781,36.85651346421666,36.69253990541756,31.35808855810002,32.52461797672726,37.669198284009795,36.76646811398106,32.850000924444764,28.71630215582624,32.92633662956376,29.9347486138576,31.18767889062998,25.82094063725843,24.624543770627923,20.635416294532202,20.920276632535234,21.214832156172573,24.005527819280342,23.0759135252608,24.05544578441415,18.795443422803707,20.366820654680854,15.398501010554481,16.782940189183083,19.800170412337586,22.860616241942687,21.093470144944078,16.961527656311944,19.940393019817122,21.636356598304097,16.53049563180105,16.460199990589224,21.69107412291865,23.697937639682127,25.213164719563903,26.586602907872432,27.69022672392966],[22.987877570440226,21.345277754294358,20.600626844125465,15.256225208100076,15.511435797906241,14.432816136744876,12.27046971942931,15.429776680083597,12.607283579916354,10.392417841724647,12.7042634288019,16.74994850191847,14.544481478907763,11.141443321341924,16.193498892668202,17.93000027406014,15.324981216840346,18.943203954239795,20.169341846357746,23.318437819218737,26.074768826190674,29.974896022746382,30.490592053478597,29.57372259540472,27.168711434061855,22.922316815912914,21.486750667165367,17.869915254097773,19.333371091329035,20.23779987122594,22.604768244874602,23.625618548105717,27.118123663851474,29.90434422065711,27.672350481846507,25.131876945791163,25.2914084247004,24.740521095968486,24.397680706603737,30.467902773207427,26.58569585994605,27.200950931769647,31.802366175583973,32.11320609079467,32.605943102165476,31.809575586719063,35.94931285557168,36.25970446501384,32.57054698358683,36.650412234104536,39.2993712505952,38.66025709995396,40.70901454383242,35.473262532339795,39.21863662032092,41.862128151658766,37.60010266436888,36.65061420087463,41.4860391057069,41.26563120400485,36.748875460883774,37.624022106434865,35.74983178555201,36.755022877893765,34.651108528779496,31.20569265410295,27.70807455597148,25.0261734450135,21.902074058999858,20.07048774821966,18.899146189076966,21.28012730446529,23.448867311868707,26.49626743270389,26.36134509556637,32.52002323122491,31.58728009557372,34.840222876489655,34.0197531994013,34.89881485835796,33.858239251713904,33.55639504094969,32.15910199825126,32.94846778800587,29.3742677592412,28.00515250780949,28.99040714615232,30.301189790543095,28.842095286129275,32.327736639031485,29.364589055821625,31.994031471669697,28.95816635990339,27.70735864518081,23.15228474739076,23.835323504950555,19.7067626634358,23.158238850834994,21.599410394333265,25.117398148570693,25.075012135328976,26.118116883433586,26.196115383243576,26.252073415660256,29.015735566313168,25.620719578209727,29.470989980313913,28.90668090524358,26.017781031765743,24.91186804447298,20.901623711415475,18.405250427170156,14.563551103090498,13.153801776083803,11.052335713559156,10.017681087509892,12.612397805199434,13.00367436309031,16.765873327372606,15.187386594697474,11.867692941815262,9.311376669291475,6.774308095181466,6.425524037334917,7.590247910216269,11.651508067588104,14.936353012238914,17.240370269112503,20.978146195119876,24.129104154445383,25.23338024252704,29.47439403393201,28.861163895737416,28.835367540464347,24.7617168883561,20.222528385323013,20.114314531516413,16.615838859249084,13.880033676284006,14.93501372117245,15.364846141842076,19.534514716172428,18.297988142231443,16.89141184982168,20.048134971398017,18.680771090255682,15.896574940770417,16.250086060948732,17.462905429543373,15.76455789865482,19.430263307397478,19.193116017025677,24.40112518981208,25.03214923329369,23.854136672509156,23.70396101928506,20.47983204800241,22.09767175961494,20.672064562555384,21.726988825564447,20.136334092105173,21.29431185701504,19.556287252167287,23.933318289874894,24.991245238465666,22.873381244467012,26.033851465569956,27.626445796348655,26.32804691301053,22.248888190818043,23.019550545305236,20.22347351998422,23.47543713714928,24.52285802907924,25.217159150917375,26.86216184235468,24.51918393794074,30.163706380554505,29.114156695758588,30.766414749516436,28.942273840741425,26.637082525730897,30.88865310336554,33.0387412116619,29.80226220758992,31.43582943884293,29.358996242804484,33.90309904185118,31.5293099169177,33.725686608140144,34.89138384588481,31.87443942365448,32.19920737296662,30.73399512289058,31.99827280419893,33.43203544415511,29.345789310175505,31.433063339993762,30.09925625118097,28.444439176580598,32.35053393915057,30.598215401816486,26.631062274213956,29.010225565252014,32.00979592823379,28.02026429758005,25.749425144302275,30.491695969653797,32.03500417393305,26.801278316830842,28.639384782032433,31.92901245275938,29.04914268068567,26.824204318773432,31.37136369937599,30.843292671996505,35.60748607275287,35.4371568732987,34.87644299054515,38.15742024768704,42.21123043705633,46.16652202822587,47.127109196109224,46.37502375358603,44.531951759726134,46.277340624131455,42.87082380126512,46.58451638728364,46.40025733024603,40.052247097138014,41.455980063448465,44.970851163666,41.48726887832155,38.46911974827294,40.867691078742276,42.077809322542144,38.26545400115044,35.36918115313917,33.51213749350413,34.20624145628413,37.749491579056105,37.67413797197356,38.94880081038549,41.76308346708257,37.9539635805541,34.86051939194033,37.81912636258776,38.00829573469453,32.892693807906625,33.29020266351915,35.54029321433601,33.37752314966922,31.409911977843485,36.457176644359556,36.7778352048616,32.86716688363758,35.14969424855728,39.04836875726869,37.97503300934183,40.00071272777219,38.03933537104056,41.70806818752965,41.45567500230758,35.787928819533576,38.34025160185792,40.731553389277195,37.972713726683075,35.496459886307754,41.40369451650791,41.08393683348047,35.71637810532617,36.96145068982788,42.05407550114927,40.97755171528104,36.9999040000264,32.766220961596744,36.72389085843728,33.50973083571118,34.93088190929654,29.49974670828701,28.697658248805137,24.619211525613434,24.5273609345818,25.097630889500447,27.79661256721033,27.125651478863187,28.440040642762277,23.300636702981482,24.94682771588028,20.00484254290678,21.384436210161876,24.282369947978705,27.26809267948588,25.173847524204678,21.288399539216265,24.18716985986997,25.538823614906647,20.296159013697505,20.271955116557656,25.424883170614685,27.045600809676166,28.521728599451187,29.928235511585854,30.879535239591164],[23.936209328888346,22.450511490023654,21.437085428788258,16.919678226888124,16.285108206958828,13.893106250532773,10.761973707197702,12.646061976878567,9.300272698180278,5.9897002698335085,8.018498398632143,12.147097372684838,9.876724488905168,6.381272706247109,11.535099142139668,13.268233235145068,11.264619577204003,15.216761545770991,17.482709086093625,20.311916390406616,23.513246749247017,27.460563064331634,28.402439567823055,28.05741055789794,25.345219250514397,21.041606141162497,19.217898889938787,15.174068105214802,15.699910535903246,16.006272502871415,18.167085965672594,18.96847252702473,22.362762606421057,25.329741445333944,23.24106861433996,21.047810951400137,21.133989960833595,21.348201834995642,21.5548192147798,27.760071473457888,24.547109249448887,24.699582901510432,29.194233631208572,30.064294732335263,31.100423997901828,30.673192875897126,34.836941515253294,34.54220955267378,30.76466978617773,35.24349735595662,37.32848444569836,36.4274395063856,38.17671015569637,32.89632577247083,36.0891446526836,38.976151891351265,34.889654989696425,33.3979999709,38.223599795794456,38.5166939678679,33.863757732600355,34.361229807004364,32.19779500395974,33.66879939352973,31.784140965162937,28.02987565119216,24.76623022815657,21.57283844577146,18.972611888775006,16.57463407202155,16.034070976110005,18.722362077180918,20.150422496500298,23.43113436791973,22.616465568180853,28.772592173556422,27.84299537871508,30.771173523166283,30.05220922090946,31.19144021965882,30.003177905172592,30.1279579061484,28.46524198867852,29.76103351193538,26.512997433171762,24.56800018057652,25.534148874716877,26.279034326839525,24.986750975009393,28.0229999433159,25.147701286376215,27.835531042606554,24.62512333814477,23.1225190999397,18.492400885476886,19.266359358315754,15.098278546048226,18.32395992920755,16.805617498544045,20.559981896192014,20.421646724505216,21.92171496765588,22.013881144671746,22.642551584735106,25.975110340325575,22.97772820365212,27.177472638097772,27.214194604186755,24.683210328665368,22.852846601596593,19.213622203296055,16.26580486770669,12.084491018272223,11.125007398664879,7.928473336296316,8.40503706800847,10.307297729167628,12.198982018530215,15.199381040589925,12.344665109285518,9.593107994723729,6.2907381614062805,6.412815277181143,5.294139318260799,6.150554155564005,11.199831318349998,13.962240024851356,16.27783706476268,20.063225090084007,22.586740915669488,24.72283330855758,28.58366418476872,28.1290400974736,27.267255735730583,23.959335961211792,19.392313095777016,20.50312157945771,17.035524519799246,14.851595753427466,14.712717081380433,16.07653469780035,19.598241009889044,17.311071538570005,15.62115768005481,18.163467398681252,15.822724605256788,13.285425594807345,12.827040125304286,14.193920879748138,12.202177207517002,16.207113966895992,15.561012412356218,20.751868894172482,21.5465549704794,19.756933974411798,19.462572228528398,16.128074166633112,18.22045703679236,16.514235118971055,18.48173735943735,17.58069872303522,18.23433248172756,17.773277501106104,21.672232871440027,23.776880245098702,22.588444371384,25.808999508838458,28.067254126948082,27.018139831872954,22.906380147787633,23.084878567884378,19.753089831058865,22.05854692937112,22.383935544614182,22.402437672878595,23.593910078317176,20.749318788462997,26.404901073641227,25.872141627037227,27.699300576311582,26.603736727801326,24.24965000499399,28.997550994346476,31.454419616059475,28.360019190033242,29.69862310770689,27.366063546163428,32.25972483536149,30.669364328823512,32.82494377882407,34.39292294094391,31.046893763681815,31.785101448635892,30.415100011072067,31.658198012754266,33.34487919656209,29.441010597125263,31.266678935505325,30.249351480192253,27.966225119866678,32.055675009693516,29.81529596955552,26.107448521642564,29.23964969181176,31.87906151554449,27.781581051686533,26.53838668884734,31.086514957659354,31.948534017514962,27.255075949023215,29.595851913996864,32.60017747732557,29.428561450857792,27.94826777715343,32.71365729685025,32.367497141921596,36.72605121325304,37.17029607152232,36.054899317610776,39.07489587136515,43.016387749385494,46.99390255925941,47.76666784992315,46.48804109336126,44.502246619978415,45.927205022245204,42.206947746344724,46.057442401394965,46.33496825932424,39.99583765330472,41.05962240092649,44.96144283986074,41.85801621119141,38.59350560461687,40.77522817495646,42.67401526802065,39.0972989884959,35.69427438578151,33.80646547605531,33.584004013374326,37.049390847851676,36.86516529440004,37.61357557320122,40.33151322464096,36.163735595252206,33.3874299538001,36.66000886650255,36.35755949602625,31.275128792702663,32.32412988946895,34.33449496665359,32.0708048559258,30.697654109060707,35.8033440430665,35.938965013072774,32.31278978996546,35.03907623933168,38.83500605072383,37.97864105354621,39.68888614493826,37.502012238584236,41.32162004592769,41.51892408890414,35.98489407449509,38.30688588679425,41.14246361587434,38.64936796079519,36.06071566188741,41.976486095451016,42.19275616414037,36.95595916221574,37.91237268831892,43.16052024509161,42.551396003877116,38.7135938079716,34.6824535577432,39.03039578423735,36.11177627172989,37.199634724894956,31.84014664150447,30.388015919831904,26.2083828251104,26.91595345338021,27.27450495016377,30.141247001660286,29.038332791313266,29.659390446495056,24.173314075571447,25.059093963996865,20.006548348909508,21.29941851305675,23.091867612077145,26.07443498935511,23.267326047783854,20.113366001037537,23.60827360102728,24.316201894133062,18.74524131543275,20.044621770867657,25.074592379063187,26.415533293957235,27.911937842725568,29.447166468456928,30.645456807170557],[21.30831737742741,20.38765931284887,20.01140888282007,16.20715660311249,16.405356309130234,12.105630816857948,9.53330878925922,10.503076667221858,6.022488923027532,4.901843740014123,6.086961727330335,9.646867721235918,9.908999373668742,7.150356001732877,11.75340345922315,13.747502705658846,13.427808814094227,17.58355321419047,20.813660197440132,23.343989684177767,26.841681985553926,30.782953070800474,32.017967983415765,32.04304903932106,29.188693240231363,24.92817407682647,22.845365757943604,18.60409260452752,18.15433247554518,17.31784480780106,18.982493019904428,19.041829102742348,21.963890256084667,25.60185221304881,23.980791524475446,22.61783927764957,22.280714915474366,23.764074101865983,24.42137990215406,30.47924189758804,28.00663383314342,28.014937310177263,32.3269753943424,33.589480087715515,34.99160481247251,34.65846158564334,38.828062434446935,38.209561554540926,34.240374050892605,38.834838449124646,40.60246130809552,39.38381860974784,41.015050674713585,35.73202742643038,38.392098400601625,41.64174267765645,37.836910666998676,35.81929952328606,40.60383435032749,41.45573805001946,36.757493970126994,36.84586100405917,34.32540634224865,36.27889262180316,34.710029447651124,30.70918649851702,27.625325666199917,23.945196031605064,21.757163443289215,18.588981747005818,18.521920184975063,20.865045034255036,21.889293000610582,25.70836711061817,24.32081546661586,30.34720515499145,29.73422045288772,32.08008690711464,31.62676013131216,33.13399181983415,31.593530707800006,32.13747757861067,29.816240934896104,31.561020820494765,28.805488209364185,26.478950225706786,27.760013490884475,27.618161951030597,26.837408248401534,28.97814755378635,26.253979204012037,28.713291253710597,25.091279026200045,22.988689956925423,18.27678974628476,18.422955398816256,14.112556658765765,17.142580856362894,15.103103222702302,17.99030351980078,19.332751208598538,20.516269952622253,21.808528554883328,22.1765889747375,26.40441314898492,23.12915377273421,27.09844838180593,27.64526872439933,24.814419359371158,22.51090235567032,18.842944804831834,16.82045999223376,12.192713084178537,12.975672415682888,10.500619466222807,12.306651201653981,14.216119356420334,16.709651772059914,19.35090947512263,15.812867057637279,13.553266960354726,10.205955044652894,11.15004281900142,9.30432900629893,8.07608861587178,13.385147628145143,14.124330288163375,17.38197551625449,20.916338107190295,23.647977349089153,26.05378429471386,29.73480925899712,29.978224435246865,28.7318901650817,26.07825899495106,21.587010531563504,22.67878480535683,20.051066141275278,18.486288751507455,18.481966766026805,20.574850575240376,24.092210535837623,21.56724283095443,19.559875737989067,21.751004570989352,18.757447711810357,16.295621463544148,14.65409434445434,15.13101169868596,11.869802235958181,15.002264997380326,13.010845447237438,18.12529892526301,17.82642702772571,16.39667061554475,17.03547842262747,14.47863642524037,17.02503486848031,16.34201833454111,18.789007732302608,19.322500822606028,20.384720483200717,20.91365812135893,24.525543253797327,27.021391990145666,26.307674710801102,29.09475586796567,31.66367183787831,30.266678908372267,26.283153430020604,26.068631882720716,22.880513599816048,24.781825519513752,24.612494939624852,24.23070496707541,24.64885792017947,21.688776834247825,27.102921607817745,27.438277916772137,29.02535675429298,28.711539156430078,25.60008558907912,30.827274208576473,33.641912282424514,30.859813479310322,32.55409793925144,30.419335749466875,35.46104396893064,34.431680322854206,36.234436510013936,37.77427473966592,34.14804762873233,34.67064251978562,32.99905404032132,33.86928930555498,35.244967735540875,31.146746647561955,32.41070700708547,30.99786333587503,28.241819333602425,31.899391355712915,29.124016490773663,25.679644380452427,28.938389020222314,30.997081386544423,26.558438062652467,25.969779357562434,30.161754643789227,30.251944578669956,25.638629362447727,28.206378267988,30.796003591948033,27.177700763411902,26.098408565411823,30.984734653909687,31.13493218355282,35.06514638700377,36.52269577013192,35.192966363098726,37.84247992531472,42.05941305413543,45.72998374381168,46.78300016708347,45.34814367735036,43.64146735087958,45.12887157190666,41.49028357448441,45.67599946324326,45.984816773280585,39.71184197702028,40.984253832451465,45.19824557609362,42.1350442792228,38.992474891972556,41.45335595607796,43.533631623940806,39.92722616775178,36.87334864166988,34.343236104881335,33.968909632822154,37.16572657081906,36.34223210074604,36.93839135000152,39.09094047747689,35.02759431828746,32.47809342477279,35.2648175177455,34.533129027709094,29.60052065971301,30.67210847198736,32.078320324283894,29.5380978719257,28.483794387850356,33.555780808195614,33.23541567291052,29.498679576935224,32.678347016456044,36.46651280550094,36.02832395643316,37.886511617686146,35.980669556619254,40.05442797678626,40.09622938382626,34.786060140791086,37.46686801959044,40.363241174101965,37.869871637866815,35.75033851610022,41.742498883279566,41.96443205457328,36.92017002257079,38.254844168010735,43.444457948551644,42.83135262547718,39.107967505977406,34.99698285849711,39.58053989504915,36.599714064582734,37.070346825183925,31.735990934974215,29.992781288561837,25.45741269000216,26.81663220977317,27.554499957469773,30.809785713652662,29.88452901668703,29.99531432357113,24.589913995510152,25.525953280731006,20.483429115996607,20.655592333703325,21.97278212354369,24.435841317223616,21.179652479834186,18.509520024541875,21.624131284132428,21.596882598550824,16.09684481182425,17.658625279345,22.33500671433847,23.13963709638576,24.622895259758714,26.3227247269263,27.6267971443594],[24.443894242010288,23.81147090683144,23.61301352922486,19.978140804210003,20.099128031424986,15.58163928004051,12.850871196880929,12.847401832948977,8.069377246823247,6.1064351427085475,4.734097668569148,8.502703473352387,9.453336487898811,5.927348327668312,9.416926529896612,12.067711151231098,12.537016176436012,16.10887225745667,19.580017179558507,22.29511744823265,25.66595999622763,29.819195557223868,31.00402816503507,31.38715471582171,28.733553722729535,24.393321260165585,22.62528023367974,18.419852140108226,17.393890690123364,16.471513897006844,16.764380405634295,17.511185614192488,19.85302597527794,23.380002760987193,22.314407104925102,21.184736160598476,21.43106871865283,23.226586991292482,24.396128018131453,30.58724687670438,28.27526332807166,27.58326870200867,31.813517120123898,33.41751711546771,34.9562855718638,35.07316269215899,39.14004728125879,38.219540481933784,34.591258005396504,39.44565430836148,40.83814364628605,39.68700261119078,40.948953973552435,35.73066550846596,37.98377059162844,41.094621343440814,37.25370974536528,34.93131672823898,39.575191507640795,40.59898182950588,35.66760479102706,35.26314171387552,32.46082864684821,34.42496560892916,33.25334597551708,29.298869858676667,25.885891886117278,22.039123810071327,19.783909345471837,16.157140763924943,16.215039870944334,18.185314181514727,19.067580285629234,23.22288808490354,21.833190711634387,27.763428583832997,27.69095844044956,29.843058041154087,29.84352046574308,31.74316965309105,30.571053382502104,31.663583921955432,29.552607556096653,31.76526287593659,29.18338924294012,26.34467211421941,27.088654198802132,26.62591777259891,25.401881199003245,26.997464669605108,23.966707627886365,25.967875121385852,22.23715466412751,20.186343420046036,15.603848960607507,15.241860474073134,11.001100675249589,14.88605252117345,13.474846695195977,16.9164105577959,18.36527583552297,20.597447842679237,21.728873467039083,23.035162723794905,27.61163475906494,24.896180878118173,29.107867128317377,30.003022384160126,27.516586636135095,24.851143065556837,21.549001787222952,19.160535099594146,14.645061150030138,15.270842597726626,11.91378221481319,13.85186701996029,14.684386749278541,17.44886029114204,18.874617034407475,14.949367005815127,13.008796080560346,10.161435152233311,12.462417215158931,11.442834481002267,11.086097128537684,16.331577252435917,17.327957874800997,20.28585390767267,23.80316575975539,26.039325304145205,28.92371305692602,32.39344436332126,32.49475643738984,30.861470078720448,28.508789189957408,24.071780519129124,25.71361371182004,22.76307401940895,21.040936373459534,20.480706069671932,22.168100467229237,25.17684950381297,22.246818743889698,20.612251232493904,22.424934032719804,19.097468797791038,17.169533709073683,15.464629920785365,16.45104989540805,13.368132128454883,16.67915481429225,14.112067525404022,18.919659985176818,18.250977928312906,16.034156986573073,16.935165926427715,14.46938689911619,17.773050542102872,16.572873479524407,20.078338389647406,20.81538511039452,21.008039942039197,22.203335049221117,25.375101965781184,28.48056814854366,28.06934827062861,31.176775893498895,33.84912086063276,32.82068752657692,28.78717058378882,28.54549458196263,25.05560702383416,26.517609229708487,26.027062506625093,25.17688834205867,25.414645131744734,21.896568672778795,27.23323386460593,27.863966789633043,29.77617741124768,29.86851387895479,27.17222912095368,32.50663063525382,35.34784732268326,32.5581555032223,33.704974631634705,31.1714284430038,36.332020162263234,35.51184188697394,37.613950090198166,39.47487354953375,35.870940380890346,36.81567857226378,35.389847315355865,36.41461630577431,38.03723683871265,34.12976841269456,35.422849889868935,34.25112264659671,31.325552945830303,35.07738825069341,32.13517243194392,28.850628112733265,32.36253498473744,34.27470451750791,29.83046904500659,29.58536950908942,33.678861511453775,33.477651472649626,29.07584039062948,31.752567011982414,34.185587276511285,30.41838100835839,29.555214514870134,34.4588334697531,34.75051870204812,38.52620521082486,40.23262329943019,38.81149309847913,41.35121987000916,45.55838787439304,49.17617720287621,50.2139812829619,48.6012964718625,46.86569897156151,48.208357502652696,44.44091758334398,48.654413577244924,49.17815599157972,42.94113594270779,44.0335787914565,48.370306685901106,45.477181570068865,42.2352859948997,44.53750646629608,46.868813059061104,43.36777192533875,40.06365575307156,37.66476975929756,36.89672278999243,40.06562435309495,39.25235813236581,39.549526783339296,41.628318107849296,37.376352278510645,35.06339862686791,37.994018397713035,36.94158410657833,32.11299960756396,33.53512093463763,34.703939162878,32.07959525627182,31.397951609744585,36.42313418942297,35.89603159427818,32.270685187877504,35.71419090012287,39.43417129620696,39.179719960409194,40.94310468473712,39.000330303087736,43.130593195558674,43.33155138062871,38.12821593892867,40.728845339151974,43.7685039823507,41.368604335594384,39.234956219489305,45.1971757226826,45.57389044825695,40.575619398401585,41.80547454191698,47.025486342536595,46.52826376101918,42.83228992288174,38.7642485476656,43.36810997570332,40.404977056231694,40.854625760623556,35.52932253168404,33.74125535335949,29.182313676922043,30.609569140781794,31.357476640253438,34.60211925380231,33.617360574280106,33.653600556760736,28.18899504882932,28.867049447066194,23.855188804503914,24.090084230171133,24.906622345700065,27.28622896119735,23.635946137780408,21.51945850882684,24.759017483483166,24.282855248011717,18.82204558017693,20.897151400102423,25.312133910211653,25.746326821419732,27.1720053715855,28.892922038653758,30.166747445403097],[26.912098889463152,26.320600279231613,26.38935842853229,22.084682834367012,22.625399125269997,18.79259397567621,16.205753426693807,16.899630716377178,12.2163392127321,9.686894943150921,8.511035618606298,12.447271550490758,12.49983021302413,7.889004486247297,10.95301254613784,14.069511023759446,13.762046760104568,16.514466762159593,18.990277048417983,22.451142824683604,25.244771170887006,29.705191425971023,30.365605768806358,30.56943617343105,28.423006496020605,23.910998102399578,22.8764855459273,18.96075459167756,18.489691180915077,18.496068614283583,17.883081417053297,19.901380109392793,22.002486932423118,24.92565134203488,24.094128788667376,22.50066314352319,23.57883977178291,24.549842160176137,25.650205039661724,32.05462020458088,29.08321695905535,28.034018133557613,32.40613681479557,33.81723780545269,34.967414583163254,35.27457955897783,39.24992142282135,38.56860544147689,35.407720566454245,40.252408844487455,41.79923396421013,41.022318067890424,42.18346507336864,37.01399445965085,39.49709343712916,42.15758957706062,37.99237967082915,35.95620148795228,40.51142803149452,41.094991044878064,35.97733079075446,35.48088202823615,32.719978024720696,34.091605844918824,33.06648786073652,29.486004992052347,25.311645911469796,21.870744742930857,18.7253465828442,15.315418585366723,14.555367020240716,15.895215625318476,17.72353131275253,21.96881451162886,21.540406680552202,27.502842680988444,27.960202595302526,30.46303700104717,30.780962364861136,32.75675692160353,32.236484617886944,33.39101141994915,31.918655228893858,34.04683812939416,31.162672599331035,28.36700768260047,28.484011491105655,28.518266196881086,26.455255949971004,28.26399187480634,24.713685478874634,26.2235020156578,22.716988109317853,21.29169965826448,17.015246295306905,16.321757620169258,12.439013473861538,17.414510271333658,16.77639349622302,20.72873254173758,21.748205949549416,24.535242705365533,25.10975945125465,26.80863380373527,31.046388910673038,28.4918499482657,32.81575258332076,33.44124126933499,30.981409253735404,28.587304726557857,25.157983855848197,22.457941032735242,18.037223743168674,17.823986049730102,13.980185439860053,14.852436027999762,15.180293301885188,17.173702340170255,17.879269216551055,14.618503203771189,12.144387083558085,10.111460592844002,12.185320438526247,12.394756218537404,13.215402703511332,18.430936132134892,20.41802791283785,23.13514839193546,26.826131707366542,29.125006019661253,31.71144828705162,35.38588374025827,35.08192918057171,33.765956307242696,30.91645001551182,26.40186075349341,27.787269622928886,24.282909590512432,21.928414547883648,21.484592764704658,22.035980748662123,24.94397489096671,22.296432617140375,21.305311892264406,23.343543292329997,20.513286208971543,18.765166587058047,17.926265026182715,19.555178035602022,17.028398992333752,20.71058928903227,18.45020353245448,23.27449970854009,22.528131279636366,20.218474508713307,21.10220365025717,18.457182657975952,21.776967985174913,20.02832433641035,23.540796102105798,23.49848959828836,23.20023948993424,23.786084537999876,27.075735386618575,29.967003549526535,29.068898009222366,32.61886373191343,34.8895471548277,34.13337836541788,29.99478712870466,30.20279821320556,26.671430236504982,28.512594682009112,28.375794953398206,27.71053368143746,28.4005164855156,24.75458767279043,30.21399687202635,30.409184604725137,32.59710168689087,32.259200902475186,30.13445163332452,35.17815738532447,37.76434858420202,34.729235520103714,35.4799708217527,32.636639880624024,37.68326286242627,36.309278664798775,38.88386851611079,40.80425216775057,37.50210022071507,38.63359116467129,37.43463032677179,38.72657837510709,40.494699343624966,36.62083258673126,38.268968962366905,37.1477103303291,34.56137441744401,38.42935097202881,35.75500556526526,32.27215162243889,35.51332384390104,37.71497254940782,33.304668493818156,32.47480122178753,36.77528937657831,36.96963905713006,32.2098559489859,34.62976841977057,37.25725962959558,33.57286891533526,32.23351958285384,37.06900168401986,37.28946737185413,41.36128356901255,42.696619169961835,41.632242869900594,44.366975021742086,48.660122363122596,52.29734394361326,53.43599738413685,52.08881224391508,50.36813443256888,51.833216511307484,48.13445714205477,52.244523243524654,52.60423316201818,46.30912834547801,47.4698140379687,51.60489454982995,48.541768662192794,45.33241429876996,47.62048576068844,49.65427367907174,46.047995977510624,42.776594978552,40.61676218652866,40.19128245974111,43.50254495963368,42.90793579992026,43.38710061681687,45.633190780123805,41.413069686697966,38.96047166103237,41.92917039643308,41.06777418526996,36.17258377154627,37.400360519823415,38.70656988296025,36.09566043889405,35.16590230820389,40.215427522370014,39.73543120305307,35.91728939340787,39.218770645821174,43.02763139116598,42.68519551166552,44.618486961275885,42.73941147709082,46.812792218016625,46.832406849888415,41.503156543652786,44.18564033199761,47.04013559589678,44.488690756727074,42.316016699106434,48.30578870062405,48.41748609305739,43.27497590644632,44.57371476088472,49.76845951160131,49.0193841764872,45.19374371344506,40.98886891529932,45.32500837200448,42.14337154349569,42.91104759947012,37.48375110164202,36.149313361460045,31.602234266591186,32.464066296876794,33.341125609818334,36.446318539841876,35.67569120315579,36.213290794916496,30.813959815854155,31.803907921624713,26.7307388506709,27.288410633866818,28.64117286211163,31.152140104866323,27.727750784646844,25.25256900329352,28.355012327713077,28.163584010580994,22.720320637954828,24.1956151462659,28.755761895790368,29.237065524555536,30.64764536522362,32.316141292420774,33.39575518422947],[21.79918674940292,21.68599251971034,22.472546155093323,18.654679723444172,20.279419718578215,15.419561472190242,13.92103873967151,14.696663343709501,9.92980307659902,9.916149832431211,9.41849065794513,12.44507412726503,14.2435614563526,10.862203746681622,14.434580045404218,17.149844836865313,17.458924862990564,21.007308310705728,24.047022409555797,27.071576272520286,30.255604928989833,34.509039740414416,35.459219370193196,35.58438381789877,33.10781854462805,28.678621827949062,27.095767496370826,22.941282221322552,22.318963923489974,21.50362879543594,21.752585519960537,22.456959836442234,24.597908180347652,28.253466409046556,27.357203683476616,26.279461630383725,26.453295582679235,28.16903142944932,29.123308715523034,35.3203650489895,32.73678585309855,32.28073091438702,36.616468989455186,38.00240024351557,39.298084255128586,39.214204480562145,43.32370240065567,42.70489796910663,39.03646494338628,43.72987249612397,45.41905258040627,44.318158283336565,45.751844640643434,40.50018421746284,42.948816599947456,46.05247640046092,42.14412449785405,39.96105229380955,44.624410282946805,45.51479178772914,40.57415450164793,40.20693817208534,37.40492341448673,39.18689622089764,38.04391170998137,34.20362248507105,30.516029088195985,26.82766037292965,24.151238637552414,20.592474479354625,20.190777162071164,21.627521640407984,23.134924489075782,27.458733048970227,26.494657917979026,32.39068241840734,32.61126906992124,34.76272260893255,34.89677507898713,36.82684924437146,35.65191141785093,36.64727765846083,34.42416432084473,36.486583226720015,33.82713233869464,31.209911914027085,32.095862808652655,31.687149902065222,30.482655981157567,32.00482050234606,28.890099044215805,30.60750911332488,26.824088026813758,24.76071652480778,20.32023583124199,19.428757889566945,15.379344916070703,19.384419484979045,17.75320200332054,20.306464096813635,22.75119374521137,24.363371449010312,26.150469531515537,26.801362642854066,31.431501258070156,28.160568097071693,31.987026798504893,32.68415466475127,29.65629942397651,27.294021347230984,23.575401824984436,22.029434744154724,17.370750456254243,18.366401598300317,15.734520257694298,17.186012801735284,18.694887940910014,20.851139826390014,22.730511441661804,19.328211910295185,16.840345829151065,14.02996369075563,15.079637691623144,14.015413242654862,13.179121748342068,18.47552119751492,18.91279182727231,22.499452477413225,25.950464811976875,28.889689750172018,31.134541342906875,34.86991776527109,35.25990354076642,34.066340379222694,31.40177212237607,26.89771381567795,27.63702439795769,25.033079065728327,23.175485754499242,23.441109836461138,24.86742823022183,28.40450590445344,25.99863029372073,24.376394208275332,26.609447210605413,23.622563558352322,21.370733563555227,19.81187659768749,20.377906111145197,16.901043926074102,19.57239976032787,16.64799073562474,21.349732038178576,19.577110722732385,18.395111972730223,20.142503158955336,18.300334834626884,21.34520215557646,20.917094781866158,23.855473238339776,24.68429834855444,25.496048000826104,26.12676127087325,29.684469859212676,32.25678313593441,31.35180525126876,34.289993034490145,36.65898194967191,35.24519398143338,31.23061353050894,31.22564265414849,28.10701125636549,30.1472335582866,29.978968108641993,29.467949022409886,29.7221254437051,26.50644992772576,31.81105364125462,32.45118769218912,34.13585256334361,34.02669735094484,30.921304911948244,36.21176040206944,39.04566488708247,36.25453463391551,37.830438733210634,35.52413132461259,40.588701415576224,39.405039737245005,41.42529605240491,42.993004902693635,39.450994870529044,39.976014009721574,38.28749301775009,39.13123543446162,40.37677118020305,36.14946993509313,37.31691525994433,35.59119648578532,32.85870067903457,36.16722852942362,33.250595544394145,29.896407600782407,32.8400660416157,34.63649051486848,29.989656803902292,29.30248501103011,33.296257267962595,33.08367072779496,28.18260176235797,30.56339944665584,32.89470079158239,28.967326654592124,27.695626632160394,32.503102770227365,33.11883587209031,36.90635964175021,38.96367685349591,37.91375962435428,40.37947208036196,44.96654026762539,48.27785354056133,49.773321319152124,48.5473933721675,47.190966027514065,48.898925580394625,45.48559955451731,49.850607882658515,49.965628279627076,43.75245094995195,45.32772142375745,49.56344231037159,46.33815910891313,43.40090886687734,46.115002583264854,47.96778286959324,44.2168926444472,41.59688019099253,38.75227020117672,38.68701291215699,41.75727648127999,40.56303866019328,41.23361498597451,42.96909847168956,39.122253482884865,36.67508188829905,38.93784061258582,38.000791797663425,33.25081039595142,34.061284876165935,34.94030233124454,32.15885352412061,31.15960123493468,36.10347503638792,35.320619519457125,31.262843014977815,34.70504302701838,38.53587137605047,38.4671775653725,40.70069556713509,39.23309949255143,43.44692843917878,43.06264936006266,37.913458963668226,41.05793311406372,43.72457808129831,41.056136357216246,39.4242132969245,45.459369795154544,45.321712417393954,40.34874357329555,42.16468080470929,47.20552667515217,46.25183192323532,42.51081091293736,38.174399433221176,42.59585040736855,39.28231564244261,39.51281957410583,34.13914433275813,32.742605171875866,27.94367208129849,29.175231292416978,30.479277868638857,33.89704806304876,33.45992965940888,33.72695197677886,28.601434740195547,29.987304139867817,25.00098837697443,24.521023718598205,26.020966768724886,28.01937924262189,24.6965763014837,22.218188353175492,24.568196654183513,24.08449335752535,19.02639573355479,19.92228805077531,24.130959109652938,24.284754591536988,25.676363593659985,27.44785085685879,28.544359722888995],[21.93605703361779,21.699458847641306,21.88985203779321,19.005035817907967,19.59017179572365,14.037104320212956,12.003955655452206,11.324013391662259,6.450675601701398,7.157780962372522,5.888833884097166,7.825153460789782,10.84930600303579,8.898291178564568,11.766334370767037,14.0014930237329,15.308289879512639,19.123435937266283,23.06705953677483,25.378014972956752,28.99033461091426,32.96368060654182,34.40689295413189,34.901998747412236,32.042261595155665,27.82492781307189,25.71605805733575,21.431598729805085,20.041595511176574,18.3555822807319,18.90785099433405,18.64511392386826,20.736367994820093,24.78949648956418,23.880284771049205,23.353762629174952,22.977547131191997,25.560926331815995,26.804400236745753,32.73327340399988,30.93839051745568,30.47592824502805,34.554727006802416,36.29241688976973,38.0496167545734,38.03234102058045,42.1340858378077,41.09210068064332,37.1792204634532,41.98552613041182,43.278728947114374,41.851008401164705,43.17006212470533,37.962415575298294,39.95229662617787,43.39318716847071,39.82915467408521,37.24875040517653,41.87988456718646,43.27338424860657,38.463222696744594,37.97985342730806,35.06561674111332,37.409320220753955,36.29604140504744,32.164620668018145,29.14814970989385,25.08581773662787,23.291249324252323,19.474265084835324,19.870610603407144,21.76207987513638,22.286475907800785,26.53412893405361,24.675495287149328,30.396969787162185,30.27745733940905,31.999517163155822,31.98323746339295,33.957543826882315,32.33819668371996,33.499402428178975,30.808375098409243,33.142791965649955,30.906985839445536,28.043383489666894,29.25980849080308,28.251028568411087,27.681314254578183,28.775220258715912,26.112321375894755,28.12487745738652,24.2009406101861,21.654145525427932,17.14989048459863,16.503940971070225,12.423156006869082,15.35993804734642,13.262898080734798,15.423357779527093,18.194150847725123,19.67239185199304,21.84846999092138,22.567354597153017,27.618279879052974,24.579814295357913,28.437532404865735,29.612091713977012,26.868946834818118,24.001722134555475,20.71845608961765,19.20021566434456,14.637031880758528,16.381717665142105,13.941395809149132,16.433711538948028,17.76029384033789,20.73443694292973,22.56249061167472,18.46404261021569,16.74412700025714,13.674760303039186,15.613542485029317,13.871746141184461,12.357796363138585,17.416591625271025,17.021237354466493,20.52353640951874,23.7474544691577,26.197355322264492,29.09622530301993,32.42563878688943,33.08429759471897,31.300676418746896,29.37636139550359,25.05495448920709,26.51689508552531,24.270308208767613,23.031753178608426,22.72845886697358,25.0692319516039,28.277526315511416,25.357329128139455,23.345131787039517,25.064950581021897,21.503292492412694,19.442459921459243,17.06884253179006,17.206553755849956,13.389737272537618,15.68463265680799,12.234073083760283,16.743478316207533,15.119580280142726,13.530321617559311,15.275066544648055,13.68490310796226,16.95705922174393,16.850071112178984,20.198138425127844,21.8875195611409,22.69365150778021,24.280446435180014,27.37840868685541,30.488932499472803,30.313887219409366,32.97351089999593,35.8340980868363,34.4417696737514,30.54336505641281,30.023219544567294,26.763387555207384,28.071976610382766,27.34940813768137,26.397739642175758,26.114097888053546,22.82007941031309,27.852268593521966,29.034832642874328,30.601245475169964,31.13567478754514,27.771071429255713,33.341377345609835,36.412011920811274,33.88955343711954,35.49362138155159,33.29150474610305,38.47580045787221,38.012209625873325,39.714032950407095,41.42820362135073,37.619586212638445,38.25381484923157,36.5353782456859,37.22559880749327,38.53317602065893,34.47631297574105,35.32532110203363,33.827969139719414,30.626025039490003,33.97163285161067,30.700773977279248,27.662584085723847,31.167520460616963,32.62437738515222,28.015883215366575,28.25764659955999,32.00504711064473,31.245994642025583,27.010850847030454,29.812405613415415,31.89509486915068,27.883366572024613,27.383295909869673,32.28172613858282,32.90901276606131,36.297977119422555,38.714646075206986,37.12301477602573,39.357898174684564,43.70813260243123,47.0806872235453,48.30170788988702,46.59222990626995,45.081070818961486,46.47781074270066,42.82831899183735,47.25725790843302,47.76502147149804,41.62997077120124,42.90024656440592,47.41738416863493,44.55399284622369,41.45032792489901,43.9728764069626,46.38239459151334,42.87598551333104,39.9057959336476,37.02493739094042,36.222264921955635,39.15109606038618,37.853562206698115,38.090752991543056,39.719926136583,35.643277433542835,33.489752292941525,35.97105276355537,34.65774566607501,30.00358286686002,31.361806463751826,32.08053335924744,29.29685321991766,28.835529689186544,33.75839265144509,32.92126179612627,29.27050217979251,32.98176744758033,36.64673584121072,36.6859156080041,38.53502279310997,36.82622715976328,41.09348130840653,41.16488463011584,36.18271011326447,39.01917393883656,42.061294299621665,39.68764962429373,37.923540675920535,43.87854590573598,44.25648160820314,39.455821787842275,40.95072642660665,46.07734155531504,45.589615159445685,42.02026493775589,37.953923465893425,42.704042336297015,39.76176519544395,39.73924448175018,34.518997845019435,32.496674877275986,27.792483135033496,29.710269195568205,30.669024869696116,34.13891181134667,33.26583453031777,32.90426035456241,27.604385877910754,28.32018463314246,23.446646181642066,22.860773045789436,23.340595951566087,25.25917287889155,21.422195028562935,19.705901129073826,22.52666752074256,21.520674753825794,16.339942950343907,18.54695041155211,22.525618902595053,22.56576186538151,23.957383871362584,25.777075369513636,27.14249309633783],[25.24923937283253,25.543061802368,26.374594537085958,23.374266559409477,24.56380315359256,18.955081962115816,17.213271775969407,16.451753232636367,11.66595482898605,11.77960171273614,9.397296783868102,10.95343803573259,14.442691807534109,11.761549954707093,13.273843176162455,16.15576568743887,17.972689257701667,20.92698479316733,24.65797348027505,27.383787645948146,30.61779625220513,34.872577994123084,36.046795562018936,36.77874406615015,34.32665940963276,29.997011973466243,28.44148594949871,24.314055082494235,22.679164816653785,21.173240948256282,20.001392667333256,20.719364994445925,21.850477138601224,25.643862796549666,25.589263627262525,25.314429013442776,25.694016693770802,28.38013612738393,30.019894863994175,36.087099300725846,34.215594277932,33.081710858732606,37.11373294833228,39.070943981262516,40.782037516054324,41.175171443370495,45.16416159477856,43.98866719027043,40.51293397568188,45.50323060133965,46.56357438217443,45.3005707724074,46.278437564668174,41.156763861545166,42.819436386865924,46.00857651058745,42.3410393526608,39.54861761911479,43.97495294378217,45.4244172061826,40.350048865122375,39.29510570756278,36.076055097631695,38.23106610561087,37.64390048845093,33.72917870877059,30.12682397577885,26.09057252425996,23.93389819171077,19.76762638703928,19.964603338964825,20.927010389563655,21.68821170464782,26.353953345347996,24.884228189218213,30.321983256200085,31.128792960403967,32.61188682083084,33.28217036825784,35.731098357738304,34.65743793160127,36.388945966764055,34.009352989993424,36.73947622448308,34.60503002210076,31.346257788077956,31.932699155253392,30.68751647617277,29.501588311541507,29.896944720740525,26.797301326971702,27.932046259044,23.941606992018432,21.584331925970506,17.588796549419612,15.827051325383657,12.349023488310609,16.425045931453457,15.26689325362333,17.525208260546076,20.8027455434944,23.20703498795735,25.357997070697067,26.813474517931567,32.10246905846406,29.42189716672282,33.35147907086948,34.708322606761605,32.06639213401048,29.072313163645653,25.919718580691125,24.30963702858623,19.786945814243243,21.248241605006534,18.21825403342872,20.3729787020564,21.01976349261659,23.80891880693734,24.581959695979144,20.544157258896245,18.83850720146346,16.405364098322664,18.818362417251347,17.87321127930744,17.073068031996527,22.301076850496163,22.25869703837475,25.710450423622213,28.97874436132353,31.30401773860028,34.304319565113325,37.613427386670686,38.16869448924103,36.27949232715415,34.375309614126294,30.023553100582838,31.547091953446376,28.988715104752846,27.387625222589318,26.971837412226012,28.62982149577577,31.595008846153206,28.583499397082452,27.042646617408952,28.649963736941267,25.04946992669814,23.366954740351606,21.229207422701368,21.81539631282544,18.21346097831023,20.528995823900097,16.670996344168678,20.59860602302132,18.03177057424974,16.133827955887416,18.554137175636132,17.4155541197042,21.191666872703557,20.778099917027145,24.811119040342827,26.49455221656053,26.653581799500287,28.459035009181463,31.347066002544445,34.757488493805695,34.542849115408046,37.53850796413577,40.29196332188239,39.1302388673606,35.14093079317301,34.79680231631281,31.38492054648969,32.64090811073771,31.84098860214568,30.638668865114393,30.29013874371151,26.58557045802715,31.48142300405084,32.880106659511085,34.72013374413423,35.47784577741282,32.4690118897105,38.05338310045627,41.09356337932146,38.50712086102011,39.68213287758768,37.1247169691057,42.35631890837956,41.83133554729664,43.890615270500945,45.807231868561644,42.103483068809496,43.00269449327258,41.44854440527201,42.26932205515906,43.68582560150974,39.66338252778462,40.57191131773168,39.06927968924571,35.86565482764832,39.13726689071587,35.781874628064685,32.821789829749896,36.25225912287749,37.58159333959929,32.900086138117146,33.12911500667848,36.78390077939625,35.81892376191563,31.51057177821059,34.21096005837854,36.11824139763245,31.926506514257994,31.356456524267887,36.177341008447506,37.08563616287622,40.3651559202384,43.13025172322112,41.69576064596958,43.81456437183013,48.34626646746948,51.50645233356613,52.95678041744977,51.2989852227204,49.95082228313079,51.39242665351727,47.799787574032244,52.30520935484659,52.81077740265166,46.71729959410505,48.04402922303897,52.60091870111811,49.72019142006759,46.661854013022065,49.21477432969346,51.5999320095905,48.05622610823569,45.14871751233933,42.24121336950925,41.4454351862921,44.33109052769414,42.9134471053257,43.054874965018946,44.46528206696637,40.41226068598429,38.42344969779103,40.73114172685358,39.17762394031915,34.69802094378063,36.07620592110718,36.42607097784344,33.506816007366865,33.24012649282621,38.032927833947525,36.855832308596106,33.115200076797606,37.0460694972399,40.6786710260297,40.995735187872164,42.99818265933397,41.50514954517284,45.84512267313757,45.76327757119572,40.91210205467803,43.933802872048,46.903555578332096,44.47156288387595,42.92228320521392,48.885766264503886,49.12518221581178,44.35306693373024,46.02975020085782,51.104348354067334,50.46764832064693,46.87519423085304,42.692453547188364,47.33097220789181,44.19473620565823,44.11295241793974,38.85630856603062,37.067051231147595,32.239588251321095,34.000467820223385,35.241874025381435,38.75604898936645,38.11078079977535,37.896395808864405,32.679828299153144,33.54002836385403,28.65737687358119,27.943503694302358,28.40683180205685,30.104418200548842,26.139977258152715,24.699494469398807,27.19918118502357,25.842945037551434,20.99626783870035,22.958723665076466,26.561443111905156,26.09213850327253,27.382210063386335,29.21996205041776,30.399401034553787],[24.27993564130852,24.820421232417083,26.184536305159497,22.90648249416667,24.882516392693677,19.416142693304526,18.21561454315375,18.147231108155395,13.368389045322427,13.779485597347543,12.063836967054577,14.061988176185976,17.17711537261464,14.036452390928904,16.194460452808375,19.1812151297316,20.467027404792695,23.46893895698062,26.757643195368544,29.81166477187004,32.87374132723769,37.24528082060618,38.18363577800589,38.66822152291094,36.374737357190206,31.939197862397123,30.572283682388186,26.46924480799297,25.26950857959787,24.099751614171574,23.07701855630713,24.01535140066157,25.266005169360643,28.96504960388634,28.843880403287198,28.325771192032214,28.789097404962558,31.111088839621416,32.53100642837285,38.709522088265274,36.459347651033816,35.474348847745965,39.65467656325276,41.38962254902705,42.85665118518805,43.120634684340835,47.1442710943974,46.236798922603555,42.787014423135616,47.67511373174439,49.00592375810028,47.86085575206212,48.97651452551206,43.806578864382374,45.74532035125543,48.838912772075126,45.02313750281795,42.44584968000704,46.92007065422184,48.12912027677981,43.021741628096244,42.083501435245466,38.94089472464632,40.83470165303132,40.19073894132463,36.399031382973206,32.50780198682424,28.66583230867649,26.069112328267327,22.07938243436406,21.835692265682173,22.542609800958594,23.880378418135816,28.56400750685607,27.554502502480116,33.072470098986734,34.00257856948126,35.68435751009582,36.37515763490015,38.7611997165243,37.79020654248174,39.36024199765228,37.07454493411155,39.61439319034205,37.276170715296296,34.21595461313804,34.80544404623255,33.83653109641605,32.488876029440306,33.123836857398125,29.876792665798448,30.907862429005394,26.988640725565737,24.818834095112408,20.844982690601118,19.030779017974037,15.581633556619044,19.874171208189022,18.664900948706848,20.764423402623578,24.13438618183631,26.23848774321089,28.4632084633787,29.579126040142736,34.723058332496656,31.720395192242954,35.51237745471864,36.619984717352224,33.68014361456891,30.9685581252387,27.510292065712676,26.16676546408438,21.539248742542718,22.89763698942278,20.046137346933968,21.771780362609103,22.749000445461,25.10731076810528,26.140645285450766,22.49675206916664,20.342900573769125,17.924022131190206,19.66672809404713,18.859585928524353,18.08038095194428,23.374767915864822,23.392173426529553,27.07422791662552,30.3947267268937,33.133931741445295,35.694529509133275,39.23686695802112,39.811233663798276,38.280478905662356,36.01065457490962,31.56775103434609,32.55321546176767,30.0169392023013,28.201834995774455,28.23900285398626,29.566635684817708,32.832066380077784,30.16970582351532,28.717558708945518,30.6562642854262,27.35246996752522,25.44328747350503,23.592795976528638,24.157072396751055,20.497402723246562,22.775394919904247,19.04139589282307,23.097487249665512,20.224719011960513,18.928873114262508,21.509711545146406,20.386533114561487,23.928376059112388,23.67541776971876,27.308036838221135,28.721189415807736,29.155569273604087,30.42593288026064,33.63835255447106,36.66578932094922,36.03995151645328,39.050967275803124,41.546227291187336,40.227119239871314,36.211546996145536,36.10374067927486,32.868771019728676,34.572081804301945,34.07716375603779,33.16632175238473,33.02679410614092,29.483334922428675,34.514422900847535,35.691397985407484,37.4743847954305,37.90789012049212,34.80422535870048,40.29373101857195,43.25983743077272,40.577055262981176,41.933269332511955,39.44257979403715,44.609860067971546,43.70789572661263,45.82430665848893,47.574782202185425,43.96770163814386,44.663958128171735,43.012505856127866,43.81226336613335,45.06717131840819,40.869894940855616,41.83484430167911,40.0590841567813,37.0796914254428,40.18109600856365,36.96013791205109,33.870302741518735,36.91197381886334,38.31035159049186,33.55779793132048,33.33322366019657,37.013524673760564,36.228462347491195,31.544595186478688,33.98939744673818,35.92624707472829,31.725673295275566,30.7681653031815,35.489228812806275,36.51458453835145,39.9035101908551,42.677369114540646,41.55809999771306,43.71604671124522,48.45327408393199,51.473402301759904,53.181389449656834,51.83511576934392,50.68040216774847,52.363164524338046,48.985340886377145,53.519582097534894,53.73681739068896,47.63033110455618,49.236322548934865,53.65651588144395,50.53314441221664,47.64446621061533,50.411798125983836,52.433630651707944,48.72118642854102,46.181305201210094,43.12561949018864,42.82929720325291,45.7298470533644,44.2140462709551,44.64770968450464,45.98015633337358,42.15871718914335,40.00764561691431,42.00228088392994,40.63862552942624,36.146712415002824,37.10827016807298,37.422718741859,34.459554665775556,33.88348009515417,38.642259369212965,37.40244966207786,33.37607897132943,37.193575747893696,40.91263851438172,41.25648974961856,43.55708901969881,42.32039078793648,46.66354646563925,46.21175444177692,41.33358797726751,44.64831819605745,47.35019912608495,44.72748451868094,43.40735493681397,49.41246008497516,49.29231611384919,44.48645664545139,46.47691362921583,51.44741752794753,50.493267793252684,46.839836857161096,42.48896095882791,46.940563141105265,43.5715075908451,43.48200671310265,38.19099355644983,36.746327398284805,31.83472052549675,33.30989808733952,34.8493724391945,38.39025604332832,38.07930005514485,38.13920335280381,33.117482155058056,34.42855227652736,29.530178404580877,28.610730120013198,29.6382716394011,31.23782417041939,27.579750971133755,25.745215632715638,27.784122003970328,26.616729878138315,21.96595955888606,23.096606685280197,26.666658642073926,26.136545150964643,27.404299949418593,29.235446611915094,30.25259031106221],[19.93757345849375,20.725999092755963,22.345671803618472,19.80902681042347,22.12398068639949,16.09104225295096,15.684906065872351,15.472707489522659,11.27076297976599,13.35870536279309,12.421217285884998,13.63387190410687,17.367428437192412,15.227828120595,17.905725939162245,20.356150220264947,21.759807811615087,25.40262329351509,29.092470360057437,31.706570828692918,35.1474195074933,39.268569667371466,40.52135344849128,40.91850923581258,38.247722431010025,33.92299115677531,32.026318618899715,27.767789534027514,26.53727024776815,24.860997926060378,24.929539112906813,24.74418284540505,26.315242666023398,30.48130384110958,30.004451405557926,29.720789444279475,29.380488242996446,32.10342024804102,33.31753953345842,39.2445751223113,37.34065312304835,36.91779369877539,41.04881064602949,42.721810476146636,44.33961302084961,44.24771042330754,48.374316708155575,47.495920344143144,43.5867020902371,48.315469862232575,49.75338013100806,48.32729342161299,49.702857564767385,44.488082938543826,46.460771083173135,49.92554453724596,46.351199988684954,43.73771081508759,48.32602963936267,49.7427444989195,44.86674692517918,44.21459689467612,41.167127073533855,43.41950138640071,42.50247495885892,38.46121124968922,35.13108061544733,31.12185372687199,28.974738181564035,25.034485244797867,25.095331759763752,26.33561740642365,27.326749704180337,31.864767564973988,30.33688100525839,35.91281086040681,36.293304601324756,37.8315325295469,38.12748462573931,40.29318013706428,38.71219814060909,39.987245646587944,37.13913222009133,39.49947248725963,37.3332947459284,34.524175789376365,35.78465087629582,34.610491802989735,34.031897581082994,34.733424064854155,31.966942956564626,33.490905484773634,29.470219048645266,26.87132693194474,22.689501326749948,21.275854845851075,17.627984886089937,20.752633570302542,18.699002963745777,19.687482505829166,23.723004220194646,24.70028721496647,27.670617142138,27.879302746676473,33.11226346435222,29.65382491833144,33.00509944996171,34.14987548584175,30.915210365138204,28.26156330671771,24.7560290890867,24.256851204963816,19.728213859670674,21.87787924333246,19.978764532622527,22.099046515523582,23.795818346058574,26.341821398233506,28.28822900064024,24.494711534949356,22.385913504669457,19.427988560155633,20.651209986052052,19.004664166451967,17.2053617455895,22.15676730514466,21.018893018215348,25.089260478773998,28.097394628432557,31.13213584510169,33.48067437591319,36.93666695557202,38.007991857927934,36.5283542524501,34.51050184605551,30.206159563439297,30.866426290592553,29.062544032847615,27.761725707325304,28.131798903500833,30.228478909486075,33.826552159553486,31.269577501944706,29.31232467052382,31.309021662302698,27.93081572333542,25.701247043356947,23.396113988142968,23.186854575429155,19.085778507107484,20.505747921395763,16.57103539272335,20.36439612290666,17.018718998714746,16.77327011601901,19.697119263872636,19.118578850253442,22.165475664556475,22.873502477177325,25.852581297139487,27.83069881107907,29.07220107860903,30.368449494247955,33.69114233685619,36.4653580961451,35.95106426038293,38.434644823510695,41.06595944146702,39.30929205154106,35.46558173310669,35.1056655752842,32.19051907012487,33.89849942306364,33.3525227832137,32.57777770620058,32.147898399896924,29.064260259132304,33.90559703948105,35.31114500495948,36.66386585687491,37.23016264079278,33.45595896695032,39.02602082093775,42.14155039806657,39.695786950041644,41.66179649190283,39.63455156409054,44.766110147474215,44.09626735469236,45.715219267722205,47.200207253929136,43.41122442941089,43.67258239264038,41.69053383970132,42.14360843747609,43.0341903252104,38.690060656415106,39.26237695260078,37.1586030311438,34.0584838214095,36.747647460338854,33.37590886992216,30.476485869358388,33.36534856092027,34.42242675977807,29.608924334072224,29.67987744277975,33.04503236347121,31.913485457942464,27.35601936064046,29.84748300309552,31.52383188285109,27.213705933206402,26.52376042588798,31.205320234226093,32.44217802904267,35.523381281317086,38.77778095710675,37.517788235085895,39.44440111507854,44.24971863004008,47.09403320040555,48.91784540410593,47.55469775425194,46.58654174920601,48.35444613588769,45.14627931151537,49.803464437814114,49.92154902366456,43.93058332403305,45.732645367118806,50.21570622094307,47.08269778160222,44.364294744028626,47.34348547980532,49.330567958081424,45.61559411367566,43.45217663383682,39.98613594524769,39.806743302184195,42.49498672081944,40.60611541743231,41.12196571673575,42.127967252180795,38.57343489291183,36.459109776630434,38.00714729002087,36.609674076656354,32.26033008206621,32.987324750149874,33.046238774653936,30.025329292969005,29.456421490808836,34.10592475737149,32.72624804927498,28.653783913283668,32.547591095064526,36.22858835799842,36.71957163905374,39.10214471518091,38.071278245095876,42.46073415364393,41.8551751707138,37.15113507674578,40.64722693336018,43.2819139430904,40.6774459862455,39.66518020171608,45.61860825224278,45.470701580093106,40.85657792308627,43.06183590399446,47.91104419230653,46.96425221270541,43.44490157368756,39.14387945427628,43.706445587753606,40.424190451352494,39.92756455381445,34.78205731474128,33.110684586479266,28.157866933835354,30.067941052156343,31.723041696569492,35.41524260722595,35.17793585078885,34.88814448023505,30.09831971523825,31.488405298407677,26.80518095581757,25.204436605282904,26.129879104237723,27.342173799124403,23.807000544487483,22.107224497867115,23.647491291713724,22.24372546192205,17.993162381729693,18.904129227159704,22.09790601093718,21.385496697730378,22.6520831376185,24.571271117040247,25.71601313309612],[22.127336263235193,23.544749951675804,25.668116339162857,23.770366971861645,26.35014053036667,20.01953139585916,19.935646816812703,19.133817946044214,15.270990123709735,17.573255201665496,16.046504299247125,16.416062987301817,20.96050178834892,19.10737409150221,20.919260194751303,23.39896800933125,25.45753227593226,28.785855300531214,32.687017109167755,35.23509133369112,38.639463189069986,42.78685993649715,44.08916801321143,44.740194234245365,42.14065773897348,37.83649888371435,36.01051221729293,31.775545125343434,30.145139348346657,28.148073793855588,27.4737338682098,27.233340809781215,28.109992085633117,32.34201635379524,32.430475239362096,32.647481366526094,32.37096313148805,35.61404058057368,37.13273649997358,42.970162926999826,41.39506202806011,40.679777870510954,44.668148108218176,46.59703036830211,48.37344681493242,48.47965639529793,52.55701570432765,51.46039958712883,47.63721656245366,52.47836889882834,53.650433913604765,52.13188970321689,53.3009922819604,48.159159738453134,49.71592108970884,53.24485454223236,49.81252884279325,46.88024207869085,51.31769611155994,53.043087950516096,48.0985611094918,47.04924562645917,43.76355692255438,46.17551339573444,45.60568787274982,41.569833292957924,38.21894998926789,34.09027705616393,32.10577459515561,27.91277969482439,28.135604769330847,28.941781093859433,29.723845112170814,34.44030406541429,32.785510794101924,38.00045419139064,38.82618326633391,39.9258965030648,40.58750105201265,43.06046477502728,41.51755346186591,43.18747295829422,40.18359453437439,42.87650339913399,41.017982716291485,37.930464430554295,39.08662805446552,37.42916218573394,36.91189529291545,36.89599326329405,34.174596765384265,35.22838487690399,31.138266541830518,28.397237441285977,24.66685041544219,22.656731383586884,19.610280774997992,22.53375935833344,20.71419429060266,20.95113294007027,25.830209467894704,26.926313491732092,30.371634663240368,30.760966876582266,36.3551734799405,33.06985729645409,36.2427153707808,37.7227852500441,34.541125448109725,31.66154068900931,28.430748326509306,28.243556906737343,23.84684593131635,26.297412490196496,24.368347508956717,26.68170864522107,28.12262942425066,30.819044641729498,32.334117553595085,28.368588371419865,26.474312180445523,23.69414951263545,25.271918690276927,23.715852216245047,21.904035655146934,26.788028073303497,25.247957974132014,29.36907954436698,32.1866146950952,35.08480830338292,37.612495989346854,40.86699205505436,42.180844930847186,40.45556187311203,38.80886583715527,34.602362721138114,35.380839577281364,33.74626154223419,32.540530014783876,32.80505312517179,34.93365972613531,38.40541027893242,35.68544019425746,33.772799312172374,35.57310608000569,31.971405902639695,29.943448101811843,27.396689891325735,27.077685292626544,22.874597252675514,23.81768009151183,19.376854262326226,22.33589319954681,17.961185197860424,17.958181836681707,21.59372047510857,21.786537361334403,25.02120328207583,26.03846487651392,29.369810096291985,31.860637873859414,32.94799887430885,34.7040154508838,37.78103685190057,40.84059036341554,40.54918936354409,42.99265881099672,45.7378146203653,43.97359924480413,40.165349692737706,39.69084204573418,36.75304344285121,38.21115624575637,37.41311402327675,36.36284089795755,35.56974474378534,32.3581260392438,36.874654185234675,38.75356212613534,40.08220830273618,41.10703288608893,37.228963308830245,42.93041630703574,46.16577124429401,43.86574327610192,45.77476888386429,43.701937147714915,48.89406374102518,48.487967156762075,50.08402124249602,51.655755126858686,47.78587765902907,48.092555721869495,46.078410574024595,46.424332629480716,47.23884130576151,42.911480587461426,43.23392103782409,41.033531744119855,37.74230869103176,40.124214710349385,36.50594358639676,33.927162985055666,36.807827569878114,37.42092595114304,32.59355114767733,33.1201365736055,36.07554851425601,34.36454383095729,30.141903109055637,32.63020799669188,33.83809543849313,29.355022667342237,29.03786287440528,33.499599115784456,35.146008429305446,37.72063738121836,41.70979671271462,40.37949128197789,41.93629222360209,46.84299209400888,49.3315914049511,51.37515599426207,49.916302156361866,49.20179493820687,50.95739369735259,47.864270029455916,52.665717888142304,52.843799527607395,47.03497607136422,48.90246545194903,53.52566413995022,50.50043167691852,47.89297131586697,50.94974245005143,53.05441615018187,49.39374901675639,47.408414620507976,43.69820961632398,43.35892747720789,45.82293686668116,43.575056465062694,43.89709974512369,44.43162214224864,41.02353399726742,39.21750205647327,40.37402107974543,38.59108581695968,34.60675676078262,35.38963667071248,34.83917661755983,31.6944736002682,31.545876241851985,35.876792019692594,34.0307351818726,30.07202833115638,34.25912031230171,37.74593040623071,38.67450624086449,41.113053685956906,40.3806653929898,44.841627243630064,44.12933357582829,39.79306695787727,43.44876292224255,46.059107687451615,43.52833013023259,42.8916868580889,48.74107124249705,48.594534470205815,44.22319315412542,46.61788401258172,51.331278543590884,50.38536434125149,47.00371923536737,42.74052044444375,47.30351120454,44.016367715826355,43.15169570324917,38.17919472778213,36.452605780948254,31.489642235290734,33.647334535044905,35.50322994507498,39.28023486864032,39.17467975800505,38.65113518821135,34.065766267120765,35.3999197313299,30.89874921412717,28.85700199480497,29.353685562278194,30.094338104726695,26.405829940454538,25.351835357245893,26.447476436485484,24.414360374883397,20.855145147983485,21.856702612392493,24.21000573461108,22.792966725598482,23.890370575985898,25.826312280620666,26.868491901417777],[21.541030256990123,23.50672931427065,25.95091104715504,25.269472288682838,27.955385368307855,21.312726381400182,21.91355181349212,20.53765833049075,17.676056880834278,20.903094425122422,19.562354664991474,18.910148211043335,24.03973827736966,23.085423791161855,24.63335924037316,26.673886427288597,29.164639346905012,32.65989709183051,36.95081881203176,39.081242297876145,42.720910810181564,46.64920089316,48.23959713490002,49.016910409216706,46.17782729766535,42.01683218399447,39.85111852647047,35.577134517280136,33.662100800373956,31.13094266084852,30.792368665505023,29.697592550676795,30.346512229174937,34.858184648596875,35.026911688342686,35.7453295597621,34.91388506191112,38.755763839583544,40.32227058499552,45.817580151219204,44.78838655754781,44.284633008322146,48.08483671723978,50.1493818144118,52.16606397141444,52.15499049056984,56.246010151758675,54.990242267966664,50.90154306228183,55.67436910412363,56.69631229794743,54.890552309191555,56.091216311018414,51.01903897441878,52.26823677974427,56.11109966443724,53.011116925676966,49.84115304548389,54.21997315081739,56.32866001423196,51.56135068430725,50.475180055275246,47.13665747315504,49.935063040491904,49.38104920659571,45.17934537232922,42.30085664270186,38.00365769281132,36.50215424031261,32.2358564060385,32.791744091006,33.75545494412072,34.11807980028631,38.7773826813236,36.6452005441086,41.61737812189382,42.2652519214833,42.95306389237147,43.522173371414205,45.992775754084036,44.01143698966602,45.708230469655376,42.2015456566003,44.96284054649339,43.498691075092296,40.43976770746886,42.012492108997684,39.88407946322732,40.01528564175426,39.58144337613314,37.31952370547451,38.463598892668465,34.33016003122375,31.240411037370833,27.736278040352346,25.771830328261007,23.047476594597608,24.875396874081634,22.690195307217454,21.549403319168043,27.242507427004007,27.504281036952175,31.730433230553377,31.563995702880888,37.346078292748906,33.96914680870009,36.59808982723276,38.368699043469704,35.13325312909923,32.15997258607763,29.272159264602564,29.90646491005846,25.877469494589196,28.989570249378826,27.71351160102227,30.39422241003974,32.066844366760115,34.99884724511064,36.80839185429218,32.63688242750384,30.973956899737175,28.004070418530034,29.533090450561133,27.530603504547443,25.141999549910754,29.565867542331855,26.999804575811282,31.23266220976544,33.58610064875485,36.45065356622391,38.97514935240639,41.90219745456324,43.74720313783289,41.845639408321425,40.754593630366806,36.822487584392356,37.537685793233905,36.57218995942102,35.85204418052881,36.18254540186506,38.88574236393304,42.41525369408285,39.631810054915874,37.40972059024061,39.04708032490406,35.27280155386764,33.22441549102776,30.24388704778824,29.324804206855724,24.93783753873556,24.86976970288907,20.193279900756078,22.051259695016576,16.790436742456986,17.880310998215684,22.02081076274569,23.180578278197594,26.003669248479056,27.89628615173955,30.900555773611458,34.12333392098844,35.626407172856624,37.74410576858173,40.63530554322541,43.717025001986244,43.73312062885554,45.731222695386855,48.67381461959445,46.63606597138096,43.032898368375776,42.2561170342604,39.547736183792885,40.73453711696553,39.69072331563129,38.5304050751294,37.25671439706398,34.367585139079466,38.38773454689346,40.757361329919185,41.72166336444323,43.19695583896612,38.82586978195653,44.59102988667488,47.991375266927555,46.02309178363445,48.29727342417768,46.55630279447604,51.716372640527624,51.73138365527144,52.914904677782815,54.36212404992301,50.31965898479005,50.36432733836718,48.121565626576945,48.126837438670435,48.63068703053921,44.30615120487456,44.123495651134924,41.69815862772388,38.18341836093465,39.99035383505566,36.10469463092939,34.028871656766846,36.803830978744,36.75806129800802,32.01406768169141,33.25015317373308,35.5428733797942,33.063036390220134,29.460492766964553,31.986776264005712,32.54975751886357,27.96410756111453,28.331874400542514,32.47427913280881,34.543495070332085,36.35495044301862,41.249108055785236,39.672189380648895,40.70060335564821,45.60580199001774,47.67380747742039,49.887616443821805,48.263756223766904,47.8622029944683,49.59306994633645,46.716947140599935,51.66558638322749,51.88037057996081,46.38736805251517,48.369407752862045,53.12819450897572,50.277094582430564,47.88340117587105,51.075476932753446,53.30616953737716,49.773687703423185,48.15331105664767,44.02966841121047,43.548230514778446,45.62623097056222,42.85457333541932,43.01949907576862,42.91352756185654,39.85648556663298,38.39774153759723,38.91417040111189,36.77626008489567,33.307124476996236,34.016686684399794,32.75727985986637,29.545991897524605,29.85434556665926,33.71930632961575,31.405347261844145,27.692335666500423,32.13076130845235,35.3199296886957,36.71981817205076,39.143511774378716,38.77407308288533,43.25864372683157,42.44432942059308,38.63490005138447,42.42217327860572,44.991405943350806,42.62892030407764,42.48513005622059,48.11062779130207,48.046903838585784,44.09404315646823,46.68039015355509,51.157341010641545,50.32226238691048,47.21656099632397,43.13869669147951,47.77430152222994,44.67593365170501,43.22829128530151,38.60845526222183,36.58983556019513,31.7485413152192,34.46086786532353,36.41470169178232,40.28076570406354,40.2331659624979,39.19780787484268,35.00174087750387,36.207968114478916,32.13653771640466,29.363351678386575,29.292976775338197,29.33159372167005,25.702536635962346,25.418426958699822,25.807205408832193,23.081755047447437,20.62617975098402,21.672776121981077,22.86018988954128,20.746921511172435,21.65957571099859,23.642986112339543,24.727396235380013],[21.481696437785445,23.771766131553555,26.85958609228038,25.764516387874085,29.264129127663235,23.00109254504781,23.96301989459194,23.37843610449367,20.25621131073828,23.257319904880056,22.16930654440431,22.271424408431425,26.948838223052007,25.308616638157044,27.3320064673415,29.685491061636945,31.70719141804033,35.192814487723915,39.069117492564,41.61099758195776,45.05684078979856,49.17979251909472,50.4894329818426,51.03619167701793,48.40029963883697,44.08843927113073,42.17942014328847,37.913003793482204,36.391795281173835,34.2742443169356,33.851655329366295,33.26981438409879,34.06804343812542,38.43405106653532,38.56113544975156,38.933764590742484,38.37962513843051,41.77060332881736,43.1685068684413,48.894268681193445,47.3799885026466,46.91707535316973,50.91513908509563,52.766740708048346,54.51346297334561,54.43052248743248,58.55644760452196,57.57527918344576,53.57666999588529,58.294916015880986,59.59805593374545,57.9758382552221,59.28695298589041,54.13493964195374,55.70833592477093,59.38698179030471,56.04616175317139,53.10465046996269,57.557050310146565,59.36205276207632,54.48315507687556,53.47288580150704,50.17608851133883,52.65371599754721,52.07287418404913,48.00360381452029,44.70519395110581,40.57508052255209,38.565871383475326,34.394951849236364,34.53820859831021,35.23631260592185,36.14698373452999,40.89143275814256,39.25614313419414,44.393077600446546,45.248565074272136,46.21674119365821,46.870718575262586,49.33032547348026,47.57869144805023,49.162665596171585,45.880387647913,48.480192399254456,46.72161056988542,43.795400099960936,45.23068107402161,43.45366465570629,43.21972553568386,43.07814639463983,40.5059041680757,41.504763624910154,37.3998670352828,34.553228857041155,30.950699101752008,28.863932118916185,25.983056846945598,28.52056920340359,26.47969885291487,25.84273534043013,31.261515406667097,31.62456604941851,35.6270189915338,35.377181655760594,40.96284856465509,37.33092050826122,39.956659223604646,41.39716497037831,37.896166727283216,35.258241828809446,32.01790756657565,32.67748735476727,28.484833781189877,31.292511531903358,29.94670633204194,32.18930349514567,34.03093862860648,36.56607660667933,38.470224997335286,34.63274037301338,32.57649690866216,29.682766149892263,30.757661110822923,29.001736400353632,26.813853612160663,31.35674645974272,29.119194606383182,33.489936257535334,35.9814682048023,39.236612881042895,41.31143179772672,44.53082040786335,46.27083440432474,44.76987013336552,43.19486890931478,39.12469870117064,39.32972846794395,38.25097764779841,37.23022360290156,37.94770652101391,40.205625885182414,43.971001481789294,41.49972949176483,39.44164962760548,41.40067714366178,37.89519077244334,35.674376062686775,33.0472718647426,32.320201074722426,27.961563947566148,28.21059802060264,23.793249755114775,26.096550214879898,21.043990985735952,22.205895435613918,26.186449151890844,26.967054390772265,29.758944668801764,31.44736476733329,34.25701879271932,37.022464045500534,38.616841963550506,40.194666202365404,43.418388924994424,46.17153120446154,45.73327873042778,47.854217228166355,50.49590470500248,48.366333944388536,44.70911792934659,44.23054738426282,41.64294976031862,43.304089239597474,42.59751132581388,41.71691811830069,40.76417812043745,37.88769743389186,42.19321277627238,44.235150476952526,45.26660280408221,46.331709400098156,42.013062768622184,47.670197432804855,50.95723027062896,48.81519428172798,51.16092800870861,49.380124724563444,54.506175033393035,54.066019229267376,55.41130790913135,56.730689792143444,52.82262567756449,52.73213072049726,50.44818708235878,50.505943551100884,50.902882929186596,46.413506756476266,46.387419725418695,43.71796951822861,40.5232412243883,42.21990054785606,38.57878025040816,36.29347106671675,38.59711407707611,38.72857567069005,33.958154141397564,34.52220983547752,36.88531638040274,34.762375523954375,30.664849467961155,32.793722837039134,33.430678424621554,28.92594304018771,28.690240931478943,32.62147161503275,34.81869929049457,36.79602571088098,41.60338012767908,40.49115512867983,41.60021160360402,46.737736665994184,48.63061235603868,51.16391133556154,49.983497853717274,49.80163244223196,51.82587745266994,49.20804856280467,54.13371776726836,53.99008770256739,48.47921009302873,50.76482253825599,55.31051227660162,52.16104581361085,49.95542347883553,53.35570766296301,55.130139734131184,51.40099594633143,50.16306563174789,45.9638688456539,46.07837804099077,48.22613506866199,45.45189693232329,45.97995828931083,45.89233802782476,43.074417072288746,41.382655594454874,41.63581317325719,39.813157393422365,36.29563089343106,36.505216039442544,35.32650845925541,32.135448995351055,31.97015344149949,35.7683650696229,33.46029290759676,29.400141621651326,33.562832400542376,36.84403006691021,38.22335386112132,41.02166225865771,40.951340840605965,45.38429543660197,44.10639245961947,40.25162568906829,44.35578151089373,46.56203286707077,43.95675457534191,44.054074808024396,49.70803952239738,49.17624265097012,45.172283381925844,48.107783861209015,52.449623143581825,51.203968310544354,48.01777361602899,43.74351525600877,48.090162535770865,44.699145514130294,43.288764924771606,38.65372843213686,37.13930935400399,32.25251267869921,34.510921913208655,36.81671450787429,40.65952157033983,41.02058571744017,40.38813455714296,36.42252474125458,38.142896663725686,34.02654028429944,31.201923386284662,31.865830534074274,31.926368113917203,28.717313239920916,27.842751363861076,27.80420445061919,25.502194487988902,23.172813156188354,23.176536863427867,24.395866548324097,22.33146947937937,23.199044604268494,25.11291080470293,25.90809129426426],[23.327444738132733,25.95664557177998,29.20124783638057,28.84517673581973,32.31434016458798,25.934618313591162,27.142815975860888,26.146241355809188,23.487317763993897,26.796032607508707,25.60104466339031,25.127872253893674,30.18094153030721,28.97560584307141,30.64538521094492,32.81348798261666,35.20041257007696,38.654947439495274,42.77378475419373,45.09823982932767,48.64029138922877,52.666227345590954,54.13033395326596,54.82898521218038,52.10124909023609,47.86320877357711,45.81990271316062,41.54506396401737,39.76666809862477,37.330844758513685,36.82808834227757,35.87630867416245,36.35990474377173,40.82090388332291,41.158402969128346,41.9026429042665,41.135567752802054,44.93903943756714,46.46015219574296,51.99404635527073,50.844938385947046,50.36987962604855,54.22780236560765,56.23151698400501,58.15003956396878,58.09191698577765,62.2037518783272,61.06218950154784,56.97806230068635,61.70635623182756,62.83442871534682,61.050647813700486,62.29432407497295,57.209543083718096,58.489473071936146,62.32690932677332,59.19465081260304,56.037006828575386,60.40037348274852,62.49121139621346,57.67736215317983,56.515827452633744,53.122234491408406,55.83193825504064,55.37487324908403,51.23507153775614,48.15877373555683,43.917484313997626,42.19136036274854,37.917706472231366,38.2715398291935,38.932928922934046,39.56642152669559,44.321092438602484,42.42152908536762,47.31556071382805,48.22087700873011,48.85506522049427,49.581622820043066,52.13282681604101,50.20326266371985,51.92881920098014,48.38879786085266,51.1240502716853,49.65392172573193,46.65069563318382,48.22405023060508,46.08548030498032,46.15770082614833,45.600722531484266,43.26403159423988,44.15526609207046,40.03964732866985,37.021489474773,33.68455135436483,31.481075751199377,28.931031324832738,30.932273602163132,28.85288552528057,27.47944655089677,33.35218909933807,33.416126385878734,37.826711788400395,37.42266783643392,43.1540255655738,39.590746941843385,41.90628006183841,43.585241401696294,40.13258911036466,37.39441296221635,34.44587481232913,35.49962777232627,31.53056504138591,34.66133222418386,33.53753347599082,36.005964421623,37.84092895978008,40.55069835172408,42.43181543790465,38.42997292130758,36.55496431498933,33.62668517185971,34.84009092127157,32.926555728732076,30.527078494858248,34.871851733881385,32.1428895368082,36.514336724168935,38.73664258704917,41.878033569287346,44.02820672556501,47.00276851832291,49.04218686089169,47.367104339903655,46.18271350992988,42.28017692898669,42.542254704181815,41.7856913603682,41.00615551181355,41.67617688428454,44.20462193847514,47.933360741953564,45.35573970678773,43.176996087816974,44.98595681292062,41.32548044007461,39.175051265485024,36.29526983859087,35.309386123409396,30.892248145863256,30.623590847122667,26.05970463291281,27.613901504388807,22.1129608499712,23.70363081391845,27.94596687315424,29.307106198356923,31.95480065729044,34.04746046225367,36.826452816299216,40.040089658650935,41.73059331919885,43.627695029803384,46.670412398577184,49.544625433526896,49.336994320695354,51.25721049067755,54.03755483612019,51.804683127519546,48.253480898436806,47.59215717540283,45.082520527397634,46.51470122599001,45.606669551494285,44.577743527960195,43.301787349340124,40.52983007252898,44.48577794157603,46.88850021268894,47.7539920434505,49.17538942649633,44.64161459889328,50.34619747783002,53.73648629336987,51.79992819827612,54.265737666037815,52.61182446391494,57.73966098952984,57.595956110079904,58.749526131411784,60.054821991627314,56.041813681755784,55.86844997975183,53.487370898730845,53.362109362242606,53.60659200157146,49.15689557290875,48.821883017354544,46.059181884531604,42.7126598443312,44.04033247560068,40.22855459601833,38.3175990412972,40.56815806807981,40.235387498154395,35.58314041290995,36.64483029006933,38.52315460230515,35.85408182026835,32.28324681409353,34.39597624730607,34.53314761903604,30.033167230227395,30.29144758060106,33.88821338276867,36.39198755703608,37.75480653129994,43.21084023195483,41.950396337495135,42.64184254761466,47.740265742484205,49.26801888019073,51.935900364646805,50.63502938030273,50.7025188182998,52.68067054624021,50.22999459134058,55.23511864136661,55.1459907996817,49.905202251720404,52.23435885420524,56.868919770736156,53.87775451451243,51.81944937329993,55.27442204795439,57.16157389857187,53.54558779072367,52.52055013862266,48.088619206464465,48.04825869839408,49.92187107266602,46.80492516182275,47.168030371708404,46.601420739890145,44.03497508377965,42.6484348523105,42.46381659447153,40.34749617847472,37.27711316855714,37.48449768991488,35.75654461927124,32.565168255729695,32.7948020534709,36.149225185892625,33.46947092352799,29.70333714000595,33.99466914847061,36.9660950038784,38.73681525017083,41.492955526870475,41.71281336262187,46.12172674517077,44.78115039621559,41.38461177857226,45.54215169672105,47.705743704886494,45.250815864535895,45.70866214147902,51.15740756360243,50.69048258244169,47.01797274736042,50.06394336797898,54.2154649214912,53.052718876872994,50.07830943841223,45.95642686354405,50.31197885198322,47.05322524756589,45.25207049609718,40.90738327601032,39.23253601494807,34.48625970855326,37.06354034632281,39.41949953586296,43.28447716128858,43.68208940018226,42.72610088437499,39.02557643544278,40.61642437497823,36.782355514718475,33.57309145227669,33.80271476131631,33.40239878257036,30.228970651290275,29.936244413441447,29.485949038026998,26.72368239025004,25.16761672503713,25.28533584708563,25.662280265445446,23.091292798006826,23.7641331130691,25.631219078632046,26.371618349678613],[24.695062264064866,27.64325200484167,31.385956208622744,31.022237429309783,35.06082314102508,29.0162685873909,30.5737087820207,30.012727520298405,27.36428259128343,30.635875005591604,29.62369046790437,29.476114983732064,34.323452924781414,32.80989616455428,34.737550923106866,37.04511189134202,39.18898833511352,42.65421200840176,46.542238030216026,49.08694734091835,52.524508064936725,56.652343471613364,57.96011102652386,58.513907247944694,55.89846831563965,51.58016387017642,49.668440292080746,45.39879731435667,43.8471719693124,41.606251199466925,41.08966931029421,40.349554792048245,40.88798842764028,45.291854984766836,45.62588832884464,46.22246324202886,45.55534911756919,49.15107106250463,50.56292816249769,56.19712714749227,54.79910023633362,54.390758297049594,58.35577145356796,60.22975401112019,61.99302765937204,61.85880574026029,65.99703542945915,65.02999424065673,60.96400191302916,65.63433379303562,66.94351004742823,65.23967846500479,66.57136467848296,61.44276163204022,62.89666979346332,66.67499740294484,63.43038630471716,60.39068795655134,64.79268010494539,66.73606663284056,61.87284888457398,60.750772780279256,57.37226301302497,59.91764450164561,59.45328248556822,55.38338158016199,52.08305891146729,47.93702803966631,45.93239075307858,41.71917683539016,41.83640274423164,42.31983841028223,43.270996827890706,48.06650226755585,46.44829568542441,51.40011552353581,52.441081238798766,53.192481901316484,53.97489691115946,56.52554398771906,54.68323344091997,56.338878529021905,52.86207049620755,55.496753904812216,53.89342759468994,50.99047021192435,52.54055709882951,50.56000989991878,50.48835038071051,50.04957153333283,47.57395161239288,48.36120324748911,44.26314909009558,41.360598334709884,38.0060700323258,35.72251736688324,33.13079060738622,35.42899136474323,33.39154984620624,32.13637966401117,37.95196853971533,37.942800918228095,42.33603768716828,41.77191218053683,47.38438000454938,43.631376785177906,45.81615002385676,47.30152021978333,43.65758941872768,41.169543602850474,38.06131560837336,39.29034402436284,35.30166581131257,38.32154690067586,37.270632930454845,39.485638100119814,41.4686556271566,43.92535253804501,45.91409086714508,42.12634548077976,40.02182803817902,37.13297310346926,38.01654965280864,36.215082660072284,33.87866435399013,38.18605844347387,35.51783738357523,39.969012615163734,42.17803740599446,45.58336292085857,47.37776389322424,50.484621462623195,52.5591751046421,51.15796221514813,49.734252339016365,45.80516520438164,45.66424856089662,44.972999344153514,44.075853737230894,45.04249173069126,47.33734387399186,51.23929281722913,48.89074537028889,46.782380858312614,48.790063977838194,45.29445152634849,43.02310287107942,40.3198593202669,39.365230141278616,34.95174037257409,34.72409491355835,30.318770555975842,31.969953333542882,26.513510424354088,28.296986504968118,32.494984553368845,33.76014240863187,36.314238260826365,38.41466350001017,40.998078295966465,44.018413984290305,45.84801120978713,47.42337578583778,50.666520360914376,53.29459661234539,52.8126136913716,54.720690948907524,57.300948001198506,54.94159918565932,51.41063599369349,50.917765859829345,48.560855226254596,50.28704623111541,49.580946869415676,48.734748437587776,47.595949842497234,44.89616734243175,48.954280488841235,51.220259611115466,52.059603929491026,53.273382801690616,48.683538011075484,54.30687326208272,57.640315410748734,55.64924744589301,58.24424526613105,56.630720722831136,61.722020814941715,61.32097730987279,62.506398832378125,63.68168413245384,59.741954917361475,59.40397982766706,56.94388373909489,56.77915894520878,56.860756581567415,52.30197566852208,51.96525624357577,48.96900280670656,45.85042824501931,46.92621192023572,43.28111276521069,41.35664376213427,43.17355044667816,42.807140741355234,38.2287797211103,38.92027335482425,40.63327773281631,38.083876351073584,34.362977354291765,36.09819907799584,36.08735392560509,31.748010808118973,31.69732430268757,34.88646298623958,37.59025745939325,38.80823936947769,44.39511671924068,43.49244488579054,44.0684692867177,49.30311752590036,50.501473125400466,53.49501176088963,52.553584726845294,52.9174988591847,55.124473613384374,52.98410032215096,57.97290952314345,57.58764364822635,52.473994660357825,55.07288760605081,59.53279761660247,56.36121226457828,54.54114811782576,58.1840771210707,59.70978878060591,55.98950706199572,55.39538837182183,50.82169364458924,51.22854417136236,53.04120665185319,49.802803250370935,50.41594755357134,49.68802440290581,47.43758033475674,45.97173710331293,45.39826554134868,43.46259029309985,40.53565390438471,40.319200851466114,38.4799552408581,35.34925059799761,35.319849607623944,38.40214459837601,35.631754851833364,31.74885134355396,35.7658236010759,38.6485349996626,40.52946949277326,43.56426131922402,44.15615207913449,48.47085694254765,46.708621420012676,43.49251702586114,47.90687476708246,49.71684640177235,47.133029371999434,47.947066446820244,53.293511016702695,52.445467358852156,48.90154761303425,52.274213641147874,56.19595817488161,54.717135947180175,51.787968470390986,47.59912062501024,51.6617900186113,48.24595964092769,46.315382897318514,42.14247488709919,40.852503103199226,36.201638744913346,38.496574810790506,41.13885467710965,44.94756729010162,45.70694260590326,44.958162612732686,41.598440650747996,43.547478018396376,39.822731466409266,36.44721091800533,37.09840775987191,36.551111591540284,33.76136201245144,33.21074972788544,32.280873005583736,29.740777776941176,28.563786011914754,27.936499680118725,28.017717957059833,25.404271707932587,25.946323481868504,27.683614915362455,28.133581863841766],[24.81533466787954,27.867748910418996,31.52097651142634,31.81812449861612,35.63144141003221,29.47595396384288,31.19343716373469,30.266871641893566,28.086179516516538,31.68746241475433,30.707692670161503,30.07846883346735,35.15766718393337,34.13319819935512,35.89042106120391,37.94606003351232,40.33585176759028,43.88980202175724,48.041918208730365,50.30046192276548,53.89975304975823,57.87316739322006,59.387466443587414,60.044616936192575,57.255386443464175,53.04081111097763,50.89988806318906,46.614625849517424,44.86618744170754,42.325061181368305,42.01791324240687,40.804886288479274,41.251596758184604,45.784739628615675,46.12088636925215,46.98533730553409,46.00354035499667,49.92929758779287,51.3810441301781,56.78489633027916,55.747700932723504,55.447889575740575,59.27957838289165,61.254769407274665,63.18690229334715,63.0040562051749,67.13495154933995,66.03887402182912,61.8265425752711,66.45719069504415,67.63911346776676,65.75119527420516,67.08058806323726,62.01514388803724,63.262309052694604,67.22486134953313,64.20126690457327,61.01769581870433,65.37393187623223,67.55902082527976,62.82018772179478,61.69314097866578,58.302732940846134,61.09941367562931,60.621678378510346,56.4412094363177,53.47195366921384,49.20963261436849,47.53966195692789,43.2763276624816,43.639209108629295,44.30525518390245,44.94317255239526,49.69089054235419,47.72849444317082,52.55813532837808,53.42713681354951,53.950510428844005,54.63708329246875,57.15978664953449,55.05226552859883,56.7130797282781,52.97076044617535,55.63863279436696,54.282823961946384,51.39397027276595,53.1709263257988,50.928843167935554,51.24180750123526,50.595067617448585,48.40718338716185,49.30745540471212,45.19534196548825,42.100086954617296,38.841842327200034,36.65596514937588,34.187324487040705,35.90231092007678,33.69868915568514,31.845854959888463,37.907465061907466,37.496267331200166,42.19816147611642,41.38792268459535,47.05105455384508,43.3321819209919,45.22670298877647,46.89671642440133,43.32358838574366,40.76549330770422,37.93294366063993,39.502897943996,35.75381651598089,39.07944686448427,38.31377866256774,40.77607370717674,42.82363667331293,45.48277880397861,47.60173521672985,43.635363173575605,41.71596448036225,38.71216209655877,39.69051117507845,37.64010635838472,35.03203153563449,39.09695399877554,35.95269159689876,40.369446685108386,42.31315916288402,45.58480994743062,47.457461019692815,50.314051389470464,52.65163983965286,51.092230933568615,50.045938806149806,46.30248107280977,46.25636604039013,45.898100306584894,45.28862320621724,46.185301192668184,48.85499761801921,52.72487138930816,50.270128515869146,47.97922637840494,49.83688127033498,46.2218286941275,43.98345888830512,41.03242401885062,39.78812644975072,35.345506757049606,34.64618482438591,30.216474618861632,31.293763876880885,25.66937699213227,27.83583190012636,32.1103026474704,33.791443176778166,36.117813198930584,38.59395799216494,41.02425731081763,44.42337145157789,46.414743993351046,48.25291148939167,51.32937358053801,54.02464213729275,53.78948706236279,55.46008982483136,58.202383890566104,55.741751542041165,52.332997838241894,51.62252640850446,49.35389479203192,50.838305192264215,49.9511042863331,49.008542908737745,47.600201017765414,45.07724905290702,48.82599237405663,51.35181697110111,51.99722615235084,53.48597061951705,48.68662716233482,54.31682333373321,57.73187378762562,55.94964092290496,58.69739255800443,57.26297951831593,62.32748973813846,62.23104609896721,63.17749179514905,64.31879454450863,60.27262598812229,59.83953877799721,57.28819545563667,56.9454201998087,56.8976248528527,52.402694183357,51.79171775148721,48.77019886272535,45.501811399417335,46.30294060235988,42.52020960890538,40.92048405380428,42.76116683651864,42.023169042273736,37.57201609764295,38.75766494685836,40.09043202561231,37.09685941619345,33.889314793679716,35.699339334848204,35.32261655146667,31.007667829197416,31.46350369169606,34.46810443357468,37.3218200985322,38.05804631317633,44.08923154597906,42.943125318217646,43.203559753053085,48.31942251692087,49.33009117300187,52.29931541947099,51.167945655148884,51.65319205719512,53.76173890162689,51.70492200348353,56.73314671593166,56.44897983430177,51.553445576712555,54.12003225534407,58.661371335981755,55.67764985916625,53.93876729385679,57.57521938878935,59.26458211104072,55.68368857823691,55.18326509864087,50.46014375437711,50.654419018954776,52.24149874776787,48.76489510468107,49.21439383987126,48.149966409057754,46.077729355850366,44.859054394467385,44.00118965858705,41.849306537615874,39.26715104747907,39.09973329915687,36.88926350352555,33.79478682934274,34.0996445715967,36.857673226751096,33.866987850733835,30.29592786263412,34.40744748555106,37.03532988969445,39.16952938736698,42.0719882236439,42.80009616204453,47.079108443947014,45.38108987352004,42.51050289091131,46.868007310617394,48.718400565678856,46.31238363138311,47.32256727264671,52.48851802056941,51.808679025096474,48.53195019827321,51.88295449151278,55.6834465543999,54.383082753865,51.643909147935084,47.63966711265737,51.79028250356653,48.57738361360925,46.35553549007807,42.41238382979666,40.848243767559886,36.33908783475667,39.00043325713666,41.55705276629345,45.37751803845113,46.04208545302104,44.942595023591004,41.75569814838182,43.49560069231499,40.030196263860944,36.37993549856008,36.59830579081957,35.71239203295881,32.956271724185456,32.890922674860576,31.716327166692924,28.825125088683173,28.231029672627354,27.812649369410764,27.288957529991766,24.361134611638285,24.77969299480089,26.479596356638293,26.96524289098951],[22.635010942160804,25.822703631689457,29.5401176933403,30.44565072896425,34.28136281519592,28.31865034602097,30.429417364970913,29.54361105406023,27.92425380674553,31.880541873123896,31.267889430071026,30.494357116078685,35.46748714205971,34.777884196997164,36.7887144679196,38.61545929715667,40.88918627288732,44.68573542720334,48.9156087795421,50.98842374307502,54.73259115386987,58.56426213350186,60.20517819312772,60.7649261581692,57.803145746210845,53.666940479994835,51.30158567530339,47.00637564436143,45.3437351861044,42.69600184925905,42.97098319231714,41.33275962472487,42.04313655143752,46.70831851758199,46.76145456068175,47.616308129989235,46.27896479797681,50.229531911937755,51.505661069765026,56.725902319617035,55.812329907178,55.83845089769158,59.640068816458886,61.51465462213242,63.472332038360214,63.07736739360298,67.23159167613721,66.20364219188716,61.7824189100639,66.25742400121302,67.54008075664665,65.5375301147219,67.03609586188645,61.980019108923244,63.317034148637426,67.43027635833714,64.52386420071666,61.41459485688519,65.83278764398261,68.04341053395324,63.46137855485638,62.57013696133732,59.2944461630007,62.214331221885516,61.52714746453335,57.24938005185091,54.548221690430545,50.25821870288133,48.73663862110488,44.55625915194656,44.99374952070461,45.95468121471278,46.51357537349203,51.17342764633479,49.032816553375184,53.97143623001673,54.48411166500722,55.04649923545788,55.45851479110339,57.789192729207954,55.39327479315816,56.804413136606286,52.854616513295845,55.32072054405106,54.02213644611149,51.36247476735083,53.46082774817229,51.24437309115592,51.90071399069941,51.449085388212836,49.479579212866646,50.704489037708555,46.57864682669199,43.35980859101359,39.94559636393815,38.05786553483337,35.40667261296408,36.725893787257235,34.20961412366628,32.01056952319322,38.054032162359746,37.03816516045901,41.92636614265555,40.602033097812686,46.080446990159395,42.17725338108186,43.716018823206916,45.31398721231516,41.65228087666586,39.27960962080473,36.5385221674134,38.556082264161084,35.066050233736014,38.59141795790964,38.294088591723636,40.80181948274414,43.127030056969254,45.78685198225849,48.31911154809783,44.3677567112839,42.45107302238943,39.28338939261902,39.99988988038169,37.685734287848916,34.78358353594816,38.47145863972114,34.89266489056234,39.29467989452467,40.96290786507832,44.318784349352725,45.95167177230118,48.68880354849693,51.26053254950001,49.81763850972565,48.900142721723704,45.34186071248876,45.073691990558466,45.12722193968209,44.78490621526015,45.844662789119944,48.80774759092388,52.787905604730106,50.44809987874631,47.96324114456349,49.846364496527045,46.30601134665488,43.945678462831,40.91388883414645,39.360180918033876,34.928045310248095,33.82119202749074,29.63429712527538,30.440366077704507,24.943422244469595,27.664573984943516,31.80148378391828,33.62740486201208,35.53950138376094,38.384749332846695,40.32576153609502,43.84488744232291,46.21263956958065,47.94464723871084,51.05053234468247,53.5089545334859,53.298894839345124,54.659214868104776,57.403746345825326,54.73764284610761,51.49791325802276,50.68384933674715,48.65835083719629,50.15101912139006,49.29874269809425,48.49751158710483,47.021253706096644,44.831429024782,48.437297857907446,50.95629405907171,51.351582190514854,52.80741235818969,47.75445809370021,53.27137350212033,56.685287119056376,55.05459440397088,58.10899057190774,56.95556176838322,61.918080594236876,61.89619348681741,62.566171847644775,63.52562405200687,59.449262470780404,58.75945296765046,56.059296485566605,55.51940216510249,55.23581204589726,50.74503302250232,49.91100539456544,46.73836832301313,43.522261306946824,43.97858372143391,40.23676777746427,38.84799085989085,40.44362307806696,39.45539586059531,35.153475724435516,36.49123663258512,37.473244274402596,34.288244183768576,31.358120837039923,33.05820909731017,32.39682780931977,28.190987870363195,28.887231798866654,31.61494564410352,34.60216891063348,34.98214554982149,41.301106349009956,40.099475086764414,40.13472747381187,45.2061981430763,46.030774801464034,49.070123607404675,47.97903034982171,48.6299516483284,50.79518175298721,48.93852702466496,53.957421946908795,53.56819693369926,48.860611431339265,51.54474030186583,56.019703822964495,53.06317471153044,51.50051787256637,55.22255137261764,56.81924463096497,53.29728657189711,53.09191475716813,48.2015245135788,48.52240323307045,49.92571507618219,46.26226500669401,46.801880803588396,45.51094580704801,43.738343254742965,42.56181034692745,41.330248971066645,39.245388985331374,36.89632952826762,36.47175735874443,34.07493993736104,31.055642376062902,31.34240813856634,33.814071100701646,30.736577117956056,27.250321850604806,31.256240622163325,33.73750754713603,35.99448275561306,38.93631323074044,39.88003128856106,44.07954079692038,42.238957481461874,39.616567142436836,44.034961971781826,45.74858519190859,43.40088235698254,44.66463801057405,49.65957994608029,48.93868690442221,45.89376778787884,49.3461442846768,52.96096131456373,51.66967597687465,49.09168536264404,45.22397079266702,49.335841777637086,46.259551707521716,43.778745476229965,40.08503968519158,38.42909805947785,34.1025852536409,36.95742176445392,39.51794701458328,43.30386575427208,44.0211026535752,42.72718400252221,39.868010846931675,41.62394706047616,38.475316392907224,34.52296820326935,34.69261537370052,33.50259893564812,31.08001869150266,31.137223234954323,29.505456950982808,26.57963908451405,26.63051954477488,25.912359812325693,24.814365180578136,21.71802184591453,22.02487734462752,23.687227814550152,24.148599879052274],[19.71703397708283,22.812191867283204,26.586243090359538,27.006893064649695,31.016013207741516,25.10258583127844,27.197833018587744,26.673257377936668,24.815175841066722,28.677596594724964,28.24366794336597,27.868469787991547,32.569621008978146,31.602740261403508,33.95087124866494,35.88930028565496,37.85355084222152,41.727706649572575,45.7718889687497,48.00269233422334,51.68915310248089,55.587886865779375,57.11164395272575,57.521634263126835,54.61626607664404,50.42477460584422,48.13780999107261,43.83622858757711,42.404723977715165,39.99083449427089,40.42478428688433,39.01052399635253,40.009280030738765,44.63969592501854,44.48922578298925,45.043851988966075,43.82129443005535,47.4469897924129,48.593079000994386,53.963110289101536,52.747903284457045,52.842830350256044,56.76733168942212,58.49786646957196,60.309842117930685,59.84806956717777,64.03073370531862,63.16010152392791,58.76243938700038,63.21392034794259,64.67196738339493,62.79034460443701,64.38115120147536,59.25710841049669,60.866867207127044,64.87086108579675,61.7947717170022,58.875418450826416,63.38654617202166,65.35764743621628,60.73264725912435,59.99821897198614,56.81267362428069,59.553777759880326,58.73799992436696,54.50246080860959,51.645015869813854,47.44234757783187,45.70440315688053,41.61752402230728,41.88988265503538,42.908721014767686,43.68888562748562,48.334795787021356,46.391529571531144,51.5481846938614,51.98105436593626,52.82201911128629,53.14561045166261,55.38100705790037,53.092071142680716,54.35443716723667,50.574696074799355,52.90492074512124,51.36079676527803,48.79426155262014,50.83567143321717,48.91808993775285,49.37013877229683,49.28238407948137,47.14110026234617,48.489455118596275,44.35966404463614,41.24916661224065,37.59711769278509,35.823341254378946,32.89514329078591,34.56697019578958,32.008907140716836,30.29611285953758,36.05719619388822,35.1751312564355,39.809069717928956,38.510043650612005,43.8772988592762,39.84150499046926,41.599402611541386,42.980381797111804,39.20665087897175,36.94088197867373,33.91079892638378,35.72558369783379,32.06265810422889,35.39779986044816,35.032644919196535,37.370060147778354,39.77625659096812,42.28006768990939,44.92164216202779,41.11595163939956,39.041469065995045,35.86394552433161,36.38946388699613,34.13673229074671,31.31210591697621,35.09413749999041,31.78474998565928,36.246432455251245,38.11147158694243,41.636648127385214,43.150577976556136,46.116154985624604,48.4859805043604,47.222755514547806,45.96659738205783,42.271909476451,41.87634522747801,41.75015688405955,41.2569890294902,42.415347582300654,45.205625268595014,49.259028222030764,47.040218394675385,44.614544431351916,46.64478396146453,43.245229902933374,40.78630731744676,37.939804241714036,36.52369955877553,32.09475290028765,31.311154791200195,27.22490228669188,28.616872097797913,23.355634277382176,25.9146314913847,29.909485745492233,31.324002022310452,33.2951366383733,35.915484846447804,37.7992249231756,40.985256961972865,43.36687238053915,44.80198333562981,48.09015236659072,50.4060958686294,49.97895457045786,51.45181612010133,54.070123147425946,51.436443124419874,48.12625089085965,47.460051780057654,45.41551382847671,47.13331346920967,46.466338190665866,45.82104738469854,44.60277426917612,42.371223721151466,46.27332206605461,48.49632933644127,48.99368017370599,50.139393805352086,45.19074779282387,50.678174239020166,54.01888424795307,52.22344971560276,55.24808564741127,54.03216178677835,58.98965518203226,58.71312894829046,59.50036408718317,60.4309394506351,56.43833384303038,55.7579814539669,53.10036446417154,52.684231223165526,52.487122493362804,47.930763709471684,47.32215761966484,44.153975508506434,41.06639685646338,41.78601892490066,38.16891252701546,36.44743768368201,38.03988064578137,37.426172272978,32.9593526946894,33.85616981954445,35.236955691425834,32.49064956078873,29.005237072736406,30.71463927139498,30.468182637529516,26.156299900021196,26.39959106702602,29.46196720666158,32.266970725452275,33.20184491649838,39.057860476424885,38.00125521448677,38.4037780615423,43.59875218790621,44.731825771359595,47.71647341928786,46.76466902932238,47.21784511951812,49.47114806927076,47.48163364827089,52.469180653225045,51.99292328596228,47.015372684110645,49.72240190415863,54.13400158984223,50.990944843740074,49.320777323522876,53.053337818621614,54.51701690613904,50.861443306272925,50.54213016289771,45.77631246849289,46.30245196135451,47.93313646458618,44.514088786515586,45.244667980197605,44.35114990291758,42.37570095094197,40.89914924812949,39.98730546761062,38.17322706184051,35.39466673968078,34.90094074286267,32.961403280821365,29.882129166401548,29.764363452874775,32.685769357998545,29.902562456423176,25.999991716697327,29.96661189611795,32.81011679420613,34.73019321521444,37.79329410290853,38.51688303030172,42.786120088628394,40.93427629253996,37.86461048997624,42.327572912296986,44.06034903381047,41.5323760903816,42.53321741435445,47.752564271810876,46.92797845897703,43.57397092843314,47.00834892340678,50.796164182085064,49.388256014519435,46.608736363357,42.56767003460882,46.693159815022355,43.463837125078435,41.25774622538611,37.28776617567579,35.77156860070195,31.26139204588381,33.89485004562581,36.4888966067813,40.30230397528353,41.03986824327062,40.00668419196752,36.952012326760745,38.88771525202245,35.51282088976037,31.75516615317297,32.34470482489551,31.48583842213737,29.05501073350125,28.59306727798744,27.164918335962568,24.587934443986903,24.075493323688388,23.107730557614794,22.61736881083783,19.878402135950864,20.394242224663838,22.199834209502594,22.774279971074083],[18.666266301718977,21.34778665740996,24.579738134160785,24.819330667958432,28.280361441766402,21.985718471405182,23.692544302728894,22.79737266560248,20.83972033383876,24.718896785924453,24.139401609175337,23.551269450035466,28.387939791565906,27.633848837863596,29.802652194822013,31.644282599064233,33.77097097061158,37.628920052718925,41.83153372954232,43.911133842079316,47.662254046598484,51.49591770298494,53.123330627514335,53.647431086005795,50.67201653048231,46.53330146705539,44.16907604716604,39.86242442047444,38.26173973911465,35.725578971563046,36.16754880545617,34.63606349810811,35.635237099187606,40.28874098982197,40.11787226279246,40.743668662050354,39.48322442411195,43.22908909277359,44.46708970055573,49.801081764223525,48.74229435798012,48.750493726708235,52.6044800278772,54.43329293182389,56.36075939658583,55.985951162530874,60.14901486383866,59.13244087740062,54.74756390841475,59.27233156985637,60.581243538925406,58.67029342081434,60.176956118449354,55.07557391863156,56.57074082931893,60.58919937915141,57.565330208436386,54.56991981918102,59.056648288570884,61.10797498158529,56.505108501480876,55.73989304839223,52.54882570218578,55.38579923187429,54.57475670522524,50.29833338493376,47.58455249795081,43.32496511936837,41.77953265405059,37.6632976993512,38.101092118764285,39.26104087298487,39.81268582459865,44.40707791889092,42.28296670181346,47.40752633808129,47.73854968849606,48.52740534386821,48.80740154552981,51.04129369345597,48.72564940522479,50.04602611361903,46.2613082720496,48.68244053188064,47.20435725395972,44.537126608121305,46.55760960248364,44.5538113837162,45.063092520831056,44.92718850838606,42.861219087974256,44.29908728488294,40.16658801008922,36.997638494265814,33.330960009276694,31.651735904875117,28.718491645284097,30.20467634049676,27.60984864934638,25.907022193499923,31.657097072578527,30.902540628837926,35.498481824137485,34.39362759349373,39.883414303811676,36.013239678578074,37.991048572467164,39.52742176333381,35.91899586744791,33.39612402565923,30.440873407318957,31.999426634539134,28.28096782711553,31.679192768905992,31.192434603054064,33.72940453138533,35.98545938505314,38.69142010921774,41.20787641444033,37.240559822419655,35.34588699393975,32.15036420602903,32.96574567294323,30.646072949154608,27.804716210568117,31.694200897875284,28.414760684506494,32.824915952586394,34.78196662966201,38.081763679268754,39.95297011113491,42.859929747030385,45.129923482778906,43.61959150983023,42.50666243104544,38.777409772607015,38.77457416250493,38.49256669098352,38.05150715165046,38.92686012194828,41.86456702399094,45.75674342055174,43.33706713327565,40.88093812223609,42.75488178613211,39.214102541097176,36.85623007394304,33.886026823220426,32.49393411607864,28.046545954310226,27.317594679635363,23.057577440260758,24.507976470744808,19.214277587411644,21.567556349396124,25.586318622565496,26.997277361354506,29.100285509294707,31.65003022045662,33.75202468845375,37.05162594718532,39.27085366888888,40.9624260181636,44.09947616798274,46.64451160850932,46.43715708801491,47.9818840778958,50.767937685358504,48.28878282951049,44.91679153251918,44.133748376242664,41.9042056242437,43.388834794397376,42.56315678160937,41.75924005882518,40.46883482483208,38.12478253839256,42.01090448552882,44.30679400773669,44.877067777973984,46.163483417542416,41.306904369174894,46.89181957719141,50.27804864286001,48.47907422817759,51.34007860031886,50.0370422834068,55.04465157496891,54.9477735814132,55.76469794054789,56.83905609307732,52.79086085593531,52.306905271857545,49.749736067526605,49.422899144985834,49.432507356454416,44.96092466792355,44.426774339268526,41.50807369159344,38.20506761699416,39.27928922711663,35.505128985265436,33.69822036478708,35.768119608308496,35.29756955184842,30.694295525568194,31.866207220851305,33.547570382102336,30.79114311016053,27.31680825975167,29.438328734574014,29.470667775039903,24.966691649323266,25.415167342728605,28.99579425463172,31.52071778362609,32.75953979688511,38.32395901104354,36.947765751684656,37.5711187089767,42.64748325300112,44.19047590327426,46.82755498693935,45.54003895573023,45.637569054023594,47.67144144568356,45.31865668451781,50.320488284155694,50.13635836017624,44.95241234859228,47.38093776919875,51.965632416709,48.958973944785036,47.006018423850065,50.54522099626124,52.3516189892156,48.76220612293681,47.95460268926444,43.37271747829638,43.47653098562253,45.24061940960857,42.01168867018307,42.52043924822008,41.8931842452011,39.518082541717504,38.051880348958335,37.64164014050618,35.68237971401686,32.63469211140982,32.59503864060928,30.879814497388413,27.707186551928665,27.787402733380045,31.12138146676065,28.498978411845346,24.635878364000696,28.89566408529554,31.911823034404925,33.63538257960715,36.42564545236641,36.69801921971185,41.08938198896578,39.681868355261486,36.311364404310254,40.51306179356756,42.624270242331335,40.18468384927607,40.73827139573278,46.12821273484394,45.668005961778796,42.09386186408167,45.18173997742891,49.254919978439986,48.136125417633465,45.249837521241915,41.22398019642159,45.63250808700676,42.51770031057673,40.545427618679895,36.32297113528599,34.46917398897821,29.808883038713986,32.64453155312758,34.94694069959696,38.81808008116854,39.192217472749924,38.03499288579395,34.54800372056467,36.15890416552586,32.57721605161254,29.057734674719477,29.30875037902457,28.702440860231544,25.826554859484247,25.500895153717284,24.669027223035812,21.921314139538367,20.804003826215908,20.619117436294246,20.655798198479093,18.065830198549094,18.78901524943321,20.783645973456878,21.700633216984983],[16.585949288062675,19.145193562940804,22.594554378082076,22.047767175173586,25.97162275824916,19.98056097870822,21.74371501703731,21.607451989951528,19.25188868988472,22.87175135357305,22.610093960791346,22.783642415054214,27.072803841531712,25.75805363729959,28.486833987764413,30.546855250875883,32.13404354322281,36.06780083568399,39.90145030000622,42.28803660948175,45.90365048903725,49.86426608954985,51.26749922462963,51.54089481318024,48.6944075537803,44.4523942817244,42.260108822053354,37.96633609297283,36.77753936955161,34.66687045988044,35.27284915606869,34.17389328118741,35.54895789276483,40.08126242224561,39.66379936774862,39.82929760630914,38.79435666039809,41.99760611295794,43.019105423432116,48.57865172536028,47.018038301099935,47.12735935892946,51.17791443397126,52.763434135201784,54.429723462452365,53.95485323599243,58.14973549229697,57.40764875995044,53.09313031734376,57.55287630331704,59.159123146560034,57.443434733139874,59.08864908625626,53.896994847971165,55.80192076214454,59.640243590341775,56.358557224262896,53.66097185609213,58.26329249727714,59.94571162144051,55.27347444189407,54.71612847776025,51.65024658554595,54.179411918414026,53.209895574728506,49.03388227984112,46.020983098146445,41.92766954210214,39.97612877242713,36.02293565393177,36.13486264924181,37.29149264398206,38.269874053661425,42.847037372508,41.110669205280075,46.51250628947879,46.81371685873412,48.00368383340636,48.20594359402542,50.31986035968716,48.19926753840875,49.304030852477304,45.80142017380138,47.99857997566902,46.151505796336394,43.653259737702015,45.55858179109716,44.01966550897777,44.18217049523116,44.55491042660418,42.211230644828255,43.74080251824922,39.63598959566042,36.68829776097788,32.74156280447127,31.181600840815356,27.88968543181293,30.002987052775136,27.441052408114967,26.516595625182674,31.7531418888168,31.209329283511597,35.375603839665544,34.28846164719077,39.53149952650949,35.4535773388089,37.656177498255474,38.812381178615084,35.02069703465348,32.77614453494678,29.400272549880807,30.695115487560226,26.747942913708375,29.772748230878747,29.18224235361141,31.340348497587335,33.75527014525159,36.13571432717995,38.82639449327133,35.15405080105935,32.94534799811434,29.770954785846993,30.18201385162667,28.023592216338987,25.362729744332327,29.38685653625733,26.58838589165501,31.07412988785515,33.28880981594385,36.894946132979015,38.44747142266742,41.69550572906325,43.68996088495227,42.53962669058826,40.87677239876482,36.96561335453378,36.62869690391738,36.09760414731251,35.36883875413804,36.50666343789324,39.08841984435635,43.148696227469856,40.98712351749167,38.658789614430745,40.81029366882252,37.541348857149465,35.017589956509056,32.402289248924696,31.25097907921775,26.867123906900005,26.665686281896026,22.70109571126778,24.991386228572104,20.24208610018538,22.278610173896013,25.96963613224449,26.727782309018774,28.872039604006268,31.03947312327146,32.990313776055935,35.71210290392464,37.96860912719884,39.119349877363874,42.57030478230034,44.812047852783195,44.204621003763386,45.916938846934094,48.44939783839484,45.97092385100511,42.51021746922204,42.001506170379656,39.80833539406386,41.71347025673763,41.2236258265988,40.70243055109097,39.825908843053035,37.45674754302902,41.74572882372281,43.582570711042365,44.283021783812366,45.0679597101169,40.377330663533726,45.854234396505596,49.09950662483819,47.06682621579057,49.915282817766574,48.53944352563369,53.51200176825278,52.97021779095293,53.97018828812666,54.96477326627419,51.060160974971446,50.536905047502685,48.0155969131094,47.839096331882374,47.894356285777725,43.30153609867434,43.08439686857732,40.107761566973124,37.10244570889975,38.416237363157606,34.92677688264646,32.69760882264003,34.553878441157586,34.57408138559751,29.869091206397723,30.25573745290794,32.38570044777247,30.312902828403267,26.116161056417184,28.03904833197229,28.562949202927626,24.118918149951313,23.79216895913538,27.565278381467568,29.874779455570604,31.749649770295047,36.68508109923022,35.669047675912005,36.702498634991976,41.91666245201278,43.70045918253181,46.36539858486624,45.40887975621692,45.39725065172327,47.6169675154625,45.25964744248897,50.16851383420003,49.751133146902355,44.3382027785729,46.88341005492582,51.27427090069855,47.98566628475462,46.011182281617444,49.61238561682472,51.088164415769036,47.30762300934032,46.53175968831887,42.097318256708924,42.644791257696134,44.668150891342236,41.7324051001644,42.57511719343002,42.376463049730496,39.919884751253946,38.069799459094156,37.90382402145038,36.385701982566424,32.93064987070015,32.62564351044216,31.46769467067162,28.337338302271622,27.795587535265266,31.48142056309482,29.23818997461265,24.958688626929064,28.905203402786988,32.23576014967938,33.57101752848584,36.576640527728756,36.738545215604006,41.10480389943469,39.52158996730741,35.729143912563735,40.03408477513213,41.990860953518755,39.30180755391571,39.66611241040926,45.236853093562964,44.48563709167359,40.608669860495766,43.779027334567346,47.93882807153758,46.54809850415995,43.44786004841823,39.200205808997076,43.46591826377241,40.10033156922462,38.46282149630985,33.989512948297325,32.51265123540999,27.709669376887742,30.067442796763416,32.5063048167242,36.354205087699704,36.90259962623546,36.20333067186584,32.629213124240415,34.615203141225884,30.799394917512636,27.5513715181459,28.5643946142006,28.369317804417026,25.711307346336778,24.559633928200558,23.849463814945153,21.77592720945165,20.045363305808348,19.163718078214462,19.994695687990536,17.955842262576606,18.842190130636265,20.805206177136036,21.605815417856547],[16.164494056566152,18.033069217908018,20.850894222989137,19.58181759647215,23.057390383867403,16.895780091612167,18.11916412031707,18.045461970997486,15.216208751343581,18.608443431676818,18.350685346223443,18.823622745977914,22.88673874425713,21.416427742637264,24.279774431751793,26.38518071423994,27.826686283502355,31.76689806903193,35.551114662182734,37.9681493849432,41.56422894967029,45.53841973811494,46.91593943772905,47.180448399347426,44.344526129319114,40.09359380285568,37.93315036763985,33.641521349448084,32.50198990672642,30.525660103755243,31.18672497607328,30.263414227690212,31.833356466003835,36.286059726528215,35.72955272160302,35.70305789477987,34.792259427772116,37.80241124990006,38.813062782732054,44.47045459103539,42.78586221882083,42.83110345219736,46.918601718745485,48.484710064538085,50.12465836488771,49.705948612192984,53.89347106333388,53.144373046333826,48.90303820006481,53.413946614880295,55.01676286763593,53.38241785628237,54.999187396762494,49.78612726479437,51.7813849990675,55.52387474595734,52.151492906387396,49.53022774446554,54.15971171318826,55.72571506745863,51.026446582605885,50.53127765797538,47.52214097588553,49.970729464414276,48.93670262068339,44.78443229402372,41.735731226283455,37.67945294010654,35.69113284797695,31.794941045780455,31.895323405640827,33.18547064546888,34.16482624235536,38.682074419055624,36.98314741888594,42.49106190862216,42.69656889088036,44.04922174804701,44.185163634496334,46.24306244644077,44.229560340603754,45.294858892014794,41.96957052447326,44.14682171914146,42.165689673193825,39.64119729909117,41.427021141260006,40.06016372745537,40.05780294343285,40.65119959695047,38.21635392922614,39.860995574896016,35.78567517811319,32.92810922040229,28.8292325875393,27.434420374169097,23.94540543641254,26.268291041755795,23.73807141218923,23.373157102735497,28.207755869006924,27.992036185816513,31.802885886746203,30.99112968188888,36.201555081425965,32.22676495366081,34.79832520013426,35.90586172466823,32.23087892927327,29.87675471539524,26.373718370974693,27.162622793874128,23.009260998208813,25.83050730429617,24.973902141179014,27.12705263740914,29.440464455192227,31.85891942953451,34.47549737219547,30.791272988655578,28.592821479092095,25.418275333314455,25.950034272571635,23.840592010875227,21.30959213348188,25.579543408047787,23.18983461719485,27.625398378391242,30.104936310108766,33.60491067085111,35.37354256298764,38.73126299378296,40.44102079120035,39.22346126769155,37.406442647416824,33.35566126732466,33.282431856777116,32.39957795262056,31.533382663765725,32.48668442447285,34.997577394686,38.96503797611929,36.71868119832609,34.44788404667164,36.58516777424169,33.31588355324922,30.820730909713593,28.292554039485143,27.35257364396299,23.010604922447126,23.26083163662852,19.32467581465227,22.210695571691833,17.926308254356655,19.383293609428506,22.810595245725015,23.11616350074532,25.45223871393661,27.24534483967663,29.382607043678917,31.859724504841505,33.91684315259962,35.04136941383783,38.50140027175623,40.841227352700145,40.23971819227796,42.15216545164034,44.71840752139346,42.42612067599604,38.844575614514085,38.37297855574781,35.98201363078697,37.86758962274848,37.39412503886481,36.85158213109484,36.142907297000015,33.61737208553966,38.11594742632465,39.76431635210297,40.63325962520752,41.28808449383105,36.828370464156436,42.33510011725296,45.540549675110235,43.37105890919487,46.00882219578873,44.47828977962668,49.48898660754073,48.889545497486964,50.04321724227206,51.15790121225132,47.28202398348929,46.96270692507293,44.584658975939206,44.59778386230227,44.90918108813246,40.36293957140633,40.410639905802654,37.695257615436645,34.65225768861543,36.46259572585899,33.00584502647502,30.48285590610865,32.70845105850748,33.13972216675893,28.326018806307093,28.562009027232836,31.20845642678416,29.51968805607104,25.0663818360385,27.25240300890984,28.285125445373996,23.824010247863605,23.31596159756018,27.56579143241808,29.44063833482829,31.867963907052513,36.134216200122445,35.004739079975494,36.42924575222484,41.52172017426809,43.773555351497734,46.10241213615087,44.99665834735776,44.59973251501982,46.67599112733532,43.98790910278345,48.8224554293617,48.57919157060801,42.90149772077104,45.20369004006636,49.6356514599882,46.367303162486856,44.11264826007596,47.521782637989105,49.16537650481126,45.38013361924383,44.11985616854512,39.99291656117089,40.32930138392452,42.61236772610925,40.04981668851479,40.824808763185956,41.10721449343835,38.23845741561636,36.22784341543012,36.69749134060637,35.27463801910211,31.40553502980519,31.434109401271254,30.796481321716893,27.675866802692887,27.03585024343638,31.196385722615233,29.330699710237568,25.031840870620155,28.98154115317233,32.52905679907425,33.483749068411164,36.27906938154057,35.95838144604999,40.36629607833762,39.142890042402506,34.92132323537731,38.95817696217676,41.18236758547212,38.49248647903211,38.31765870291868,44.08490274718767,43.55245961440802,39.35213740990622,42.184427702188806,46.63384428549005,45.40243797823076,42.11859319600254,37.81776203847145,42.24386059058532,38.89787793830886,37.68545813909465,32.898935114296485,31.306109880769785,26.36799790420141,28.618084035620587,30.782778860967532,34.62379638200012,34.87926832046328,34.31356837199779,30.263761113338834,32.08472293766299,27.931384836057735,25.182177519875204,26.245666192605995,26.574284108723557,23.603715510572577,22.14115618801283,22.214211045735702,20.415930077764436,17.662464174432525,17.31519900757259,19.180392913359203,17.728852034249787,18.841008115128208,20.85761766936188,21.89039254383604],[19.749060279806592,21.285245587666004,23.853685916144507,21.630538113675314,24.934278785650818,18.99495719979349,19.437680631199246,19.510817539045348,15.746834796726208,18.145114662506916,17.33218940701252,18.39504939921331,22.27948007332036,20.02564279679546,22.663091195434433,25.207316697253987,26.59906885969414,30.1552463926641,33.66923790392897,36.46205325614983,39.789408520923566,43.99620964938524,45.118260520655554,45.43646850599243,42.8927287787207,38.510416468471185,36.749056111416365,32.5154585593235,31.400298561649006,29.769812353772394,29.618460275545115,29.511209325581667,30.84292180716611,35.021161124989526,34.756848794996614,34.56155707916624,34.260833415372595,37.00667147841953,38.18715848331168,44.1270779432034,42.12241234981319,41.72796768152675,45.900516840515934,47.51758160616339,49.03008162292438,48.88841888107334,53.02490797301844,52.26760635314872,48.373339182716094,53.047003494652735,54.59184353799043,53.18465232472028,54.6019334464519,49.37919898179715,51.37219221510906,54.83439201579109,51.23443670705584,48.62619691860784,53.19480696266121,54.59639483119289,49.67673776886135,48.94218475374156,45.83338150824114,48.000650804164266,47.188781653704595,43.21524215404596,39.69248705376168,35.741744360810216,33.38237411299523,29.426091706860014,29.286082742873038,30.161272741535214,31.42959444620241,36.07961115514483,34.77914498178191,40.26140635848119,40.922266709922454,42.383006001117245,42.850430120764734,45.11159108415572,43.57203521499511,44.89338174721346,41.984465005403614,44.33907484030913,42.185132238803284,39.422510904137596,40.69394378699769,39.46959776260436,38.85730837116424,39.3827814617232,36.54890283575243,37.79911043148118,33.7626933032572,31.184432928465267,27.195131857865725,25.445230113016773,22.052035381643773,25.253933152898096,23.261645813324435,23.74517545477703,28.271701251815156,29.00236035158534,32.31126628154539,32.25591280381361,37.52367153542533,33.85026842079011,36.89234330528338,37.979922180295404,34.488193537687955,32.02232831724427,28.434498577416214,28.458911421872585,24.01250005297219,26.276804138594066,24.6232625825351,26.52141199017644,28.386319569438232,30.67512333940288,32.67699455317865,29.086355043967863,26.781406094565458,23.913131100235468,24.761024345382904,23.213015027837116,21.35795080783275,26.150372070732566,24.713264335639536,28.986829090465026,31.84477473413093,35.187430213087396,37.1688358678904,40.68700996664664,41.97330716647517,40.709600311960806,38.611063459138045,34.34078440080012,34.51820099706923,32.964247059267585,31.617111187491858,32.36424960849142,34.275345016825725,38.074506518870024,35.74909785503826,33.84318655322356,35.999973963608184,32.74616849867292,30.428843088655967,28.19701695257106,27.852330922082974,23.675693002917303,24.717702210857116,20.707204767870078,24.063236239763455,19.997312284339202,20.462344301776955,23.814703319744645,23.667622564102064,26.560190080105908,27.61119781006548,30.376936532310122,32.437947802054275,33.89428963810576,34.99318692417736,38.449887675715324,41.00998274731076,40.27397169149594,42.66029220200869,45.12196983704607,43.16045200309897,39.37083099743992,39.13027470314773,36.43302109105049,38.38493813262382,37.963765745983785,37.30882695550725,36.83495732961891,33.87011458714213,38.623062028205716,40.11119444958649,41.353958578747935,41.89696265728341,37.926075263181936,43.4590899111429,46.57681986297711,44.16671102159732,46.33272812939691,44.40139931333045,49.49369315660646,48.66670821283911,50.252507712579536,51.59057707426741,47.83638601230266,47.872536263372744,45.74552948965277,46.06536411717481,46.697484373874566,42.20586461467995,42.62599341325021,40.1634023704805,37.19589112921795,39.44210467993467,36.085304506701505,33.305037131052124,35.720079677046186,36.52304580686802,31.684375170198372,31.582869803936017,34.627773281130274,33.31024046710036,28.622180931871412,30.78969470384608,32.147101344522895,27.76458274169638,26.906763969707345,31.265090116566704,32.916750051497345,35.72743346142757,39.498240629321174,38.53156165172729,40.222496604793186,45.2911006646728,47.7246832510808,49.96845817039599,48.89594928666703,48.31976843805534,50.33957289293697,47.47310996945912,52.2298292135961,52.063124846316654,46.22301701788514,48.371338772998605,52.772942296649,49.46863591641898,47.03753247024455,50.29327413265371,51.95776515477627,48.12499343520388,46.51813773785476,42.72324531508899,42.98014491543694,45.501291885213405,43.268207978206846,43.98332249562329,44.58992981305156,41.42569730770622,39.343311098060944,40.26587633743904,38.864291505498336,34.78109017731668,35.05348199008064,34.690545368372305,31.589339634571893,30.924027148608513,35.26839723402166,33.547966004324806,29.261276280060976,33.151401193082634,36.77121658596238,37.565556337010804,40.30403637705703,39.76882590597959,44.16942671033058,43.07871398298783,38.63151199921265,42.53389640262931,44.832123335760116,42.087882212646804,41.60543453406998,47.48465659604192,46.9484265453048,42.51153371722822,45.181184042826594,49.78432354937884,48.506851379918785,45.05398281204873,40.64046056755315,44.98495913749075,41.492433020204594,40.68529718715736,35.683189072052286,34.334483067455544,29.34295227503038,31.145277968926514,33.2528370105051,37.00939080859083,37.224043494728,37.02390965912909,32.66506745589706,34.475122245836516,29.99142790439756,27.850393325506598,29.074688913079555,29.839268673845563,26.632723149106408,24.950826371504725,25.62574470231706,24.06907066490995,20.629115238483994,20.601903035349157,23.088305368043137,21.87876746350121,23.000784867570594,24.905855828995634,25.793049969236094],[21.91597391276306,22.97816403208003,25.230616822906036,22.0150468088435,25.181832037933425,19.851284755052312,19.702154996887558,20.327640163941794,15.988483012548443,17.266731174671037,16.38751851580719,18.383512632236332,21.44775601558974,18.332454658876344,21.15226886675671,24.035730697856295,24.91900903099415,28.18163960377873,31.174502033157232,34.37925091954931,37.395255623167834,41.78262098811432,42.58464109175935,42.76636531555624,40.51404774481806,36.02971888141396,34.66893493688497,30.5579056656048,29.77763825422167,28.725236964717716,28.211080762623975,28.92705246411055,30.367545414370287,34.17662722849863,33.89409671606211,33.25884358647928,33.49816935992941,35.63520378666078,36.75362990870308,42.93172638923866,40.425284522929665,39.81965432839816,44.12474136328822,45.595739520911714,46.84881330665901,46.82655633468929,50.91590583639888,50.325008684999325,46.731720657007415,51.42823516482882,53.10203076634196,51.97425898445133,53.34064670286023,48.10704898638494,50.34361590821276,53.482802684049986,49.60831843782497,47.23711307894634,51.80064821712242,52.84290339005878,47.79168384429991,47.071362564151194,44.032794513504236,45.79480835607906,45.00436522936692,41.2517736251822,37.27962521108842,33.57610089016492,30.725074191826916,26.94074602401255,26.394693827870135,27.01338861178442,28.77058588044686,33.40297121562828,32.654022330969916,38.247082198588906,39.12289722640234,40.92507813920357,41.50972699525159,43.766059187623235,42.66406994708822,43.96931053597174,41.5508303717616,43.82932036556314,41.35968847639065,38.604967505841934,39.45731508311818,38.6667996785805,37.455892951020466,38.312757091859474,35.10002535234161,36.18429255313444,32.28171896190187,30.108271567690238,26.087445711823175,24.319832845693682,20.836076296882467,24.903072675932883,23.349295797552493,24.853134980407624,28.62185676590392,30.011051979518115,32.6258997617508,33.04292415406299,38.061404230671855,34.54447916239414,37.95792732423247,38.79864670024004,35.41237323640289,33.079098474083864,29.310842970803012,28.652202242284293,24.040472371110805,25.584209934273172,23.351720095975452,24.748729859369103,26.343558497831037,28.27525354409758,29.932872064550907,26.681549567085128,24.12634782665982,21.569978713969803,22.349608603661487,21.386676896321234,20.249438847233673,25.321079274113522,24.919985410196922,28.958579152829053,32.15017379719565,35.46294132307425,37.38913680591597,41.1363149315364,41.951496973804076,40.86941913666437,38.30728875069423,33.86380167605261,34.0530709483001,31.895960401097184,30.06567051668467,30.781572240182793,32.01726115747917,35.736040317769216,33.54195979623057,32.001752698046204,34.30778787162285,31.307100571270922,29.05647455381641,27.33222154370798,27.56100005088821,23.71423945621181,25.5621548164453,21.91735409094765,25.87915407995085,22.499460245765114,22.222860740717977,25.105296268540858,24.25807979845097,27.373274083457982,27.667784546918874,30.635422276417824,31.997297137781135,33.039055700475245,33.75081065399789,37.33594984422606,39.82219065710795,38.77223296765423,41.557334503831605,43.78078838724266,42.08944446115794,38.15322045037622,38.226283474318606,35.36935095649958,37.57192434064049,37.393958479687626,36.85194880631676,36.80315596461063,33.61510930350489,38.683721082542114,39.74143956770577,41.28304520631069,41.433437229075246,37.95905694674388,43.35012856581511,46.284046398782664,43.607773490945085,45.41782298091455,43.20051491375211,48.26545494259501,47.03289508896943,49.00150966237385,50.43674508979035,46.88414621771212,47.150072050450724,45.24877990880648,45.86556795829727,46.75162423665982,42.30469310242039,43.15153719570426,40.89722261524116,38.17436758054237,40.82989561533075,37.73854993398873,34.624480808058074,37.05178906342449,38.348752640869755,33.54338957543831,32.86562892828491,36.36121452547299,35.645327945434786,30.599017408995717,32.656593429587204,34.45804961770454,30.257520367959778,28.89473986645859,33.35269743604123,34.66010590381653,37.99377468995939,41.0168790710587,40.29283845600351,42.35542228742836,47.37500450306666,50.07323004354312,52.19459234064326,51.27157245343927,50.48596178460374,52.514030084986096,49.522984136788125,54.128889627372736,53.926279255798256,47.90758519985767,49.95658693499748,54.20606464830173,50.78573501586163,48.22259083349142,51.34637394134491,52.872420535630205,48.96329364164062,47.100419274101455,43.6844780482236,44.07437679996429,46.866441344448134,45.054190504729085,45.87753337501385,46.931209522008906,43.55229683123048,41.254179818307406,42.6179900124896,41.46854523471762,37.09862853596762,37.42130769996755,37.533970578188686,34.52365187919481,33.580315222371944,38.152461217815414,36.74962892050867,32.38442152406689,36.03776903491975,39.7970254109438,40.27050037495179,42.99420113060968,42.225003230837224,46.55595137174636,45.53441866350129,40.77082789003517,44.53670262176407,46.8217969673175,43.97432762628964,43.14019736872099,49.11968143884583,48.49688235310936,43.78635786628226,46.29452956723861,51.02402405503133,49.641569417299166,46.00017272961964,41.477067479416576,45.67248473388358,42.03802501678587,41.72996355425253,36.52097490190634,35.490473221074396,30.51573535538156,31.756151400345196,33.77143960862751,37.37575003930739,37.58022435175295,37.84986112764581,33.274927837383835,35.18850481622223,30.449593227052638,28.972149309424385,30.630178966715842,31.887665139733624,28.723084296714998,26.538206243497772,27.697754046067256,26.669098361448295,22.62076760155302,22.533236663207592,25.72485825410794,24.996543732463874,26.19002843950599,27.999644503425074,28.78739990210372],[27.57494717929838,28.717783075010612,30.628451793900872,27.827863862895313,30.176650413626746,24.339847465215335,23.476294950047134,22.90431134659809,18.342448916209687,19.097356233649716,16.845646119530173,17.95576664376291,21.863373944986126,19.03401435851212,20.140333245343122,23.16164963503902,25.128120201614713,27.63725682032637,31.020952445020985,34.05759068011275,36.95741351847284,41.378675246853575,42.28098063215653,43.05453330380015,40.95132121474147,36.55223643413568,35.38456347540172,31.374632567499372,29.771912062560823,28.343122816844787,26.309968532934064,27.386965316389833,27.77304665762046,31.404779927560575,32.01845910197434,32.02236442971823,32.701703679236985,35.50209697929621,37.27212045054994,43.374436625587876,41.41017094897157,40.01646959285183,44.028624271815964,46.037645302924325,47.62617164702484,48.16837816653794,52.10314218474349,50.971885686281404,47.72256207403252,52.74263698343638,53.777270367135394,52.59712223048265,53.438558229776284,48.369027206388935,49.85042556639481,52.91868297836954,49.214596698771054,46.309514617680776,50.56890874288054,52.06049606608599,46.845242975146576,45.391858725396574,41.971293799759586,43.93210267777829,43.765675010860775,40.07629282527437,36.05350382941771,32.16873087061536,29.68551590848814,25.476310361439992,25.347599539556416,25.346972786408546,26.514851933442433,31.368742038849092,30.377357382580083,35.37444210794553,36.982126664437686,38.17506155125228,39.39229599984353,42.167833041831884,41.3849018392349,43.444140381880366,41.105647020953825,44.026319186825425,41.985883393228235,38.598948782518356,38.950266684589614,37.497509394511695,36.063838895365606,35.856325227353196,32.56895485966056,32.88637692159398,28.956877500385716,26.763456527838898,23.44808278825426,20.841253498612968,18.274702766693355,22.463876556642255,21.671400725766564,23.124092406072315,27.27363415926307,29.658116766509224,32.280861527573194,33.695320685195796,39.21077014269447,36.40816589845586,40.085481987599834,41.514568405616956,38.613986783400016,35.67190403245064,32.42858592134521,31.34351651653691,26.788961580972664,28.424926634236503,25.51746041759531,27.385669556856126,28.050916595343594,30.489780380226843,30.925702763811675,27.20336303292628,25.305206153104276,23.19371114799835,25.263475615287025,24.603043691284032,23.814315862152732,29.079784937334747,28.739175622134397,32.51672737875781,35.702817669160446,38.3327293628852,41.074440071389915,44.464416021415595,45.22991776535492,43.46367332598244,41.50638612371711,37.123537712361866,38.21290874955906,35.77719810155653,33.99605451845948,33.939255408961465,35.18385079851101,38.277533985020725,35.47415918471976,34.15270396141699,35.885187449165535,32.38862707739651,30.72769780862404,28.68476561670043,29.193111508190487,25.431672490370865,27.299323109563495,23.04555968643092,26.369727292949577,22.54977418267555,21.36492540723078,24.616152333507966,24.212059029056377,27.996260961074338,27.972761498285845,32.023791731076074,33.8988220994234,34.09876021908355,35.81734432570112,38.76912004866481,42.1015486069055,41.663282378372685,44.7024975269535,47.27459123370154,45.99007048145394,41.983475097991764,41.80864148514573,38.526609383376275,40.00650517969801,39.27568729295533,38.074902420898454,37.60322872369967,33.868880923948275,38.58331892004904,40.21952908924849,42.04005670901264,42.92094344304886,39.78951584534199,45.41202410662604,48.481652744311354,45.90660432623391,47.12379072554803,44.51707868703798,49.74057286470989,49.056188925015405,51.23273260775596,53.10525840881779,49.45003935217372,50.24254539403565,48.59317851378029,49.33000084968221,50.54505186187015,46.34622290618964,47.11593531196393,45.2436698476389,42.08805989180765,44.93693262531182,41.47817137460811,38.64258059966401,41.67875265593601,42.698625847508474,37.887968057305756,38.02062333928581,41.37322636852026,40.080683568861204,35.61277928846965,38.04215672570193,39.578747785844065,35.18899909504298,34.49222844552701,39.033650671958405,40.45547307122674,43.42943438826977,46.88054092992973,45.74735660872376,47.58916193271403,52.46880814248105,55.15122550378828,57.105004548595446,55.69854451243218,54.788988030942605,56.48077176812136,53.2011030151904,57.88661978763512,58.149785839967535,52.180964832373085,53.86251309725176,58.42144640826316,55.36864782164015,52.57281703287165,55.42488942438046,57.54079832951817,53.84772927584103,51.466685804131956,48.18440594106396,47.760024960567,50.48095828872293,48.63689101662515,48.89319957721659,49.79854012192061,46.08558781736467,44.21208339938463,45.86170385540497,44.13014992028458,39.95024320425393,40.96418836992408,40.717599895059415,37.62009028791635,37.408836570901556,41.9036353521756,40.21828372001688,36.254362721766164,40.34999891117046,43.914892764112764,44.670685714659804,47.06237926652275,46.11344816382888,50.54439983771136,49.96390938273949,45.39450724095535,48.89781612365946,51.56837131280019,48.97859760593605,48.01190928737805,53.95839613371074,53.79829965556697,49.179446928618546,51.38261518784875,56.245932240035486,55.24559178932171,51.685684813970404,47.31791060545424,51.75300207909075,48.31756792449243,47.9100177677771,42.73431715072039,41.29969059439359,36.32390752911673,37.974049658441004,39.75643515652566,43.396018432588,43.25218185580471,43.152336841281695,38.28964345628919,39.60002463417991,34.813651030448064,33.47924928414624,34.171734813950756,35.363007333927726,31.531145861285847,30.234807306235133,31.87675282493742,30.149744079263147,26.04120854583307,27.2009282955806,30.0896419154562,28.927520430606144,30.0439055894731,31.893668228313654,32.784954758100945],[27.23919968405566,28.089169086904967,30.056777549960653,26.3234283715578,29.072060128812105,24.12108306122027,23.270587474397516,23.820074468519504,19.06167061590094,19.10091772230377,17.556662798058976,19.944202838201065,22.54300426095837,18.74702716448408,20.835487137854127,24.097334129059075,24.93050282942106,27.417265309644584,29.924194975697127,33.521740476221446,36.07057628216282,40.66656252218156,41.118788181164874,41.422637240556334,39.622773709242395,35.089244842389874,34.32174655082587,30.452387981159937,29.66755829278923,29.078272771976792,27.415680880887237,29.187778827887545,30.189999107856146,33.47203895081924,33.63406474761599,32.85240189391166,33.8810435225512,35.673000020036326,37.024780457915384,43.371606179661086,40.59199118827902,39.37626605992773,43.660678637238085,45.215816105741524,46.318459896074316,46.69888085818426,50.63849991621449,49.99190839924749,46.91919455086786,51.76310157932277,53.27512689507325,52.429351874489804,53.487964702911384,48.34702713815936,50.46967563290422,53.21290588795664,49.136983625997864,46.778102781462515,51.15993957458222,52.01941830176689,46.757811426184844,45.680813384502926,42.54074798728072,43.90884576668182,43.47827736405052,40.04717354764099,35.52297159313617,32.065561056390415,28.800013232184384,25.058021866895288,24.182566452884416,24.054381430873182,26.185593165188582,30.88175336632432,30.73603150736535,36.090710488048586,37.62393000059584,39.48584057014536,40.53496903986668,43.03815542751786,42.57709844567676,44.22624497759412,42.360702623040865,44.85053389709695,42.2805029546066,39.26067167749007,39.42477835551925,38.775592688965524,36.81897160837994,37.486572156859054,33.839571242616856,34.299122925741464,30.58381936641676,28.898500038422867,25.284668001423896,23.091252913346906,20.078051664236728,25.02494064811613,24.291953263473996,26.614769171934814,29.869089106587126,32.26567761272222,34.264806109730706,35.53817833080371,40.52623202276119,37.475435828093254,41.281744950211845,42.15665478771724,39.07008489577293,36.616841334764516,32.9481331380823,31.565085989078398,26.906551588299518,27.811663835740998,24.760693898853862,25.802259267865463,26.629928461591458,28.33826182787459,28.950560722266367,25.94707660778891,23.44482453355143,21.565269255558174,22.85100393061332,22.72972356589024,22.52053318102243,27.805293511109515,28.35249874109747,32.02768363189665,35.46437819294607,38.447783268019556,40.63302972816295,44.41219748717762,44.78614713408941,43.59763576202378,40.87998140168761,36.344128123197024,36.89532530839338,34.07938420980353,31.800719992907176,32.1534979247853,32.61475978074252,35.917106810527486,33.63090081365878,32.631163495344374,34.81359826009615,31.898834207375003,30.02484074408638,28.705343697525358,29.60497092205592,26.155575420113145,28.648286823044092,25.069073961660372,29.149859573487642,26.045898913334742,24.90033961470203,27.571351490534855,26.377253650327187,29.931884550455326,29.432405075141492,33.02582712778753,33.96000563500832,34.20808949588343,34.9681887576152,38.36428466301878,41.126256242646086,40.0181932173786,43.29970400497837,45.39895190145038,44.160945929569365,40.08663684611551,40.37722171986376,37.21911907472797,39.34422339214978,39.16714251262919,38.44780682266191,38.611443887626656,34.99487981941661,40.15062541973734,41.058992205572075,43.00095331960468,43.1026026835035,40.27154197061196,45.59271155290468,48.39313108324559,45.52166687589684,46.708046330297684,44.036189530245125,49.11030379746969,47.693818831206116,50.15138114163849,51.865824175736456,48.49877629747861,49.21113695235508,47.64325166944438,48.58394522226823,49.823202170141165,45.53759305758144,46.721662297954985,44.79231273338042,42.126860952549464,45.152595848902884,42.13926089315563,38.89682589626918,41.52686050670669,43.07725397314538,38.311432133749555,37.49515272728397,41.23629627410409,40.73345588616656,35.65415089525915,37.72628163527983,39.7108063476921,35.57238263452701,34.089109697207036,38.58177834946398,39.72066134139065,43.26661815645287,45.922199773371894,45.27913533457043,47.51270192286278,52.46006618572277,55.30306931324075,57.31445903220933,56.35647062742059,55.40020554373668,57.32362374680292,54.152803334438,58.67015527253055,58.59980715738178,52.48172912996438,54.326315908983176,58.55539864740107,55.17775237539736,52.443857660307486,55.356731781003866,56.966618980544844,53.081106157900564,50.841147832282154,47.799857827017654,48.003653966847075,50.97229063880309,49.47040542674825,50.16078405485011,51.47304344648397,47.822227232522295,45.53869419334245,47.310881437566245,46.11243343918723,41.632406024169086,42.23737675451229,42.5126574777059,39.52284313173839,38.67012064566481,43.34072067392352,42.01039766854155,37.723532458823925,41.38686113176232,45.16061187787495,45.54940564001298,48.169927638453686,47.206028355348316,51.520472759421445,50.67627060841494,45.782481724072476,49.371131987677195,51.75765472431746,48.92033290813468,47.81019231357244,53.83229954480006,53.27707763506482,48.4121632997328,50.70358492875523,55.548680866158406,54.191985958470056,50.4437489315424,45.89907759299291,50.00047502300288,46.31270491250106,46.35976495555892,41.0469848847792,40.17805534928818,35.25480389345133,36.164321921652686,38.04406573099912,41.50040492025242,41.60973855272366,42.14841371692179,37.3540964135484,39.129750329525216,34.21455408355622,33.31282780625245,34.92461140206968,36.48801627148142,33.114073005610656,30.940096461914536,32.573234166070726,31.618860222432378,27.20845207963064,27.511324465440694,30.97477869938064,30.331434375975036,31.51641171751095,33.26634301296354,33.97161283559355],[31.762788702985826,32.65949290354365,34.55732528491304,30.816491599859177,33.31020858692594,28.328241193111598,27.160976124424277,27.3650661021667,22.500160715116326,22.061025615312502,19.948707704882633,22.119106980870466,24.74333065650657,20.881532681195885,22.031880291163144,25.415527254674814,26.55070498750211,28.35858976511921,30.67535781310153,34.373761423217076,36.59136028117897,41.261160922384626,41.5409995593836,42.09250128614063,40.61216066652143,36.13424832799874,35.74936458934763,32.08939716112915,31.063346553708715,30.57968610302777,27.885228501076217,30.259786174643423,30.66474973563167,33.562776828094634,34.26947727686222,33.647887193876215,35.184923274279235,37.00845995521497,38.66019564930455,45.00189477653477,42.281623605939934,40.53392275408681,44.67393430870137,46.42584783809753,47.54152967551425,48.2921151206371,52.08146119586925,51.25212732802597,48.56612876381491,53.546135505217556,54.77850327194179,54.0592183653449,54.799606111341305,49.78793313381167,51.59868536859756,54.104487280138564,50.00737616282919,47.49774200755218,51.65153629783812,52.55781326194949,47.166842452525295,45.65435661467744,42.351714836134896,43.54674502783952,43.54233861413939,40.348377472021205,35.54408251880917,32.22240704454118,28.893946471516145,25.12107510237268,24.205080990207744,23.361432130139203,25.49400757199189,30.221938460355744,30.372815733423177,35.28548143878298,37.45533981605515,39.10976117733495,40.63194191899449,43.42296196950438,43.398766558924656,45.45242266892965,43.8805020961433,46.65287665693011,44.19538760740297,40.88418459131668,40.56297034859109,39.76750761719526,37.389177213695596,37.574558564615536,33.71606063114815,33.52263436837921,29.96724372158589,28.58676782516412,25.540761833304,22.86925544984635,20.558387651404573,25.81206749221668,25.711314915880667,28.25706487372568,31.406349751013316,34.46856780258357,36.233699548417356,38.12441767937998,43.2281634943286,40.57037231237739,44.560178531864196,45.61934484111665,42.768747664955896,40.113820594340034,36.63572443020337,34.93241576871991,30.311851658055776,31.030046645976213,27.545895999034848,28.557419956167305,28.782505423166715,30.49190501629919,30.214672511147064,27.271518919706537,25.059032150365617,23.69117346925979,25.511016678246776,25.81009859936371,26.013374813915405,31.349644015090377,32.19305994590199,35.676006129698706,39.170276174537335,41.850441992977736,44.33358534642944,48.015744897320694,48.22486992382353,46.81248202265055,44.219165182955386,39.691123935379586,40.59611371551247,37.49174217137694,35.07227151264862,35.082112147911594,35.19677252585983,38.09691443934317,35.63339533465149,34.96293868705574,36.899776724394464,33.91705476966923,32.4062312546949,31.177501270473158,32.39684109700399,29.145314071397763,31.807989799004513,28.090885388248264,31.952538390756978,28.77654736803624,27.14663590173217,29.850278027676836,28.716626423726705,32.57904948235687,31.719467938017498,35.82940919273053,36.756910226132675,36.43934098879264,37.505652151482714,40.60444997838378,43.705721518539036,42.74602020636299,46.28581342033033,48.408307459442526,47.46854054724649,43.343393603845556,43.659019863425755,40.29332429510381,42.176206545101344,41.842800986651824,40.862139327861264,40.97653069051003,37.05239507608475,42.0781288341982,43.106834487209944,45.28595821155628,45.59238046097879,43.129924379721054,48.46489502796432,51.23975090396873,48.333858348253514,49.08023330870956,46.10913933306469,51.20058335344205,49.86334265024984,52.591055976610996,54.54223124597511,51.245682594832374,52.28482417959807,50.92404827949979,52.01718698569377,53.46811237616908,49.312120025176746,50.584149986971134,48.85254793275205,46.09551241427209,49.264730108315085,46.17068330559361,42.97660885014868,45.80607438325492,47.33751812265049,42.57363949779278,41.92536515657682,45.67834091013585,45.05866909808223,40.107914305406325,42.259414679590044,44.19641632579595,40.0051367252822,38.649210434931625,43.14747192161941,44.31561749960456,47.80532964294396,50.52315286601744,49.827174139074835,52.03210170568487,56.953182931831144,59.79704524287201,61.774101151795236,60.695795613998506,59.685279982034885,61.5008389527673,58.21315900023394,62.73454875477099,62.821082543411265,56.69424778297518,58.39268783341653,62.69887469347433,59.42546344197013,56.589678518303835,59.3714016840852,61.151992754679654,57.32680779587483,54.85214520438061,51.95715982781096,51.89690663573838,54.89227746930037,53.45906787916254,53.950671997574304,55.26970362504821,51.46028518980649,49.31508149221182,51.252289545020375,49.8602618272777,45.4265308505254,46.286134670556166,46.46480700762495,43.44417521266199,42.8237517896593,47.4782361920739,46.04785691075942,41.871720264075925,45.673804916836204,49.39492990325948,49.874385684282565,52.40781942933225,51.378915125691286,55.723307787235534,55.0148757521351,50.15505964759015,53.65558150344561,56.15554955432902,53.377026630848896,52.18989017116162,58.21437246565757,57.772927304469036,52.89435518298342,55.073642335584594,59.974697504686084,58.69755164206795,54.93875072407372,50.41410452548409,54.5228066853614,50.84580906752796,50.95620038838699,45.629991830463204,44.74096855080285,39.82325408300911,40.72740908848028,42.5490142389608,45.97058743120715,45.9993472432469,46.53800601351569,41.63049353033192,43.226649555422526,38.2613393598969,37.53530963972043,38.88218220216031,40.48319663408969,36.87634112766438,34.96340921519025,36.79910298793468,35.65012311575473,31.18202306781295,31.859137899807493,35.25816470307463,34.46806915676771,35.62255735181879,37.374797575984594,38.066659027195335],[33.00202863873837,34.3779786018262,36.7323368205231,33.50673627076453,36.37593055803787,30.960424172547892,30.208750452779586,30.091402360411447,25.402369429428084,25.63759893764272,23.397924590052597,24.942393307371642,28.314941787166084,24.8711154602864,25.75443367375287,29.028705263704225,30.65149521457499,32.52316929004883,35.15374893723243,38.67262101922831,40.99360863074214,45.615485197084105,46.020358949410124,46.7270646793694,45.18377637106682,40.73794436781876,40.221337337247284,36.486023284687874,35.17131299755295,34.29362506284631,31.428198887956476,33.428398354997476,33.4413990404862,36.520120192006594,37.550070303610354,37.35403964644765,38.69995180853241,41.02063353501586,42.82626972582135,49.080001772977646,46.666198097895226,44.88377808037022,48.9289248337569,50.847004461122886,52.1171184617622,52.900263837262436,56.70177576675674,55.732105151178615,52.96294504611856,57.99604198620239,59.08625065288047,58.22230220814312,58.89260979292993,53.89856562184064,55.430718402294175,58.089062451676476,54.147926300694635,51.38922450736914,55.4681255635853,56.659544066742455,51.27029724433009,49.52721303419643,46.06450908842979,47.473028344672635,47.66935370682197,44.41090013181217,39.75304997755925,36.29089306029866,33.23658279086623,29.29347183338493,28.623220355026117,27.66524917781441,29.474129433274804,34.258771635548925,34.14868618487684,38.76642035007909,41.14078433585007,42.40874614827767,44.11673875733922,47.0880020340947,46.928149742356496,49.194465811991044,47.34432594708618,50.31359724235847,48.095979903211,44.646252950489824,44.45201936505865,43.24810572045073,41.12527705120403,40.79098283537482,37.09618406876317,36.6576351181863,33.03656429218171,31.432090515690216,28.66146222539117,25.66963951859992,23.70838370108639,28.506970826491205,28.314402372044118,30.12549038013434,34.00471647521328,36.86142809009171,39.15675133379834,40.91661064014964,46.32514190150472,43.60236644906748,47.38644023726229,48.663633939726616,45.70870684776273,42.91969089653626,39.5279965077405,38.25600812810831,33.63921442698466,34.81628466736004,31.572055502938568,32.87673385824274,33.23477549686747,35.139440380615994,34.93176396427178,31.783672361017697,29.700181110330806,28.17412529396429,30.042622909233703,30.050558507911468,29.848923300059692,35.179697322845676,35.418328054609546,39.14002613679598,42.479710634684714,45.23008629733469,47.76010127171858,51.343983387175996,51.86594788644116,50.31876010205597,47.99294332901646,43.50708140296838,44.35616516439035,41.56066326119555,39.33308530081015,39.41979382795263,39.823745907928064,42.803726828038414,40.25955103493961,39.43067598821377,41.29354325535439,38.10407540128109,36.57969240262,35.018858392043164,35.93434922975061,32.40155920605321,34.5852594050203,30.46527953631393,33.846434892047895,29.95784264960868,28.710677091754917,31.928260842300865,31.37917553461462,35.267007592272776,34.86915856873954,39.05162803171864,40.482297756777015,40.33471374852584,41.70781334762061,44.73187388415239,47.957320147970414,47.15211212086079,50.52553860467644,52.76708358403072,51.66043689060584,47.57255919124074,47.75110678410853,44.44712250346949,46.21687737702334,45.71266892913341,44.5935127667734,44.388098700564505,40.4785588275092,45.28463831268588,46.70499312605079,48.756883155645625,49.403527888045936,46.637770160239,52.13326330397418,55.05343178079141,52.286826756377486,53.19738395213906,50.31736856096635,55.47288396457543,54.3611756524203,56.94040597863165,58.87190631449724,55.44766614983805,56.37678947072112,54.8738507736423,55.79646140045536,57.08348633919902,52.84304034657411,53.847299065010105,51.91230460616547,48.99541298440033,51.85386518274072,48.552241890615115,45.57611104918842,48.33602620325116,49.50381330553677,44.679161982451674,44.33621953261544,47.76557349455701,46.70361654734513,41.92684852374403,44.055637069054605,45.62922903807828,41.29822514627682,40.17503383370093,44.501819553806854,46.02066092928004,49.11249473933877,52.46259346447056,51.737526369463254,53.64001518746545,58.69267566570079,61.21327300359042,63.42789739920953,62.331689862280584,61.57853813299523,63.448354735898285,60.30731564597427,64.97976569529465,65.0413638010535,59.049924865045824,60.890723826244525,65.31114987564612,62.06315052746284,59.36039347776227,62.29706663775209,64.11056165013764,60.27873521071626,58.06676835635035,54.85078031065442,54.77355345441125,57.57923317668929,55.782946309498854,56.201240024526285,57.10793119651789,53.48157723486021,51.52569923732357,53.0573355289256,51.4181364943236,47.248534459555025,48.03845777159158,47.751238302180965,44.63233912508893,44.239348781237794,48.653772587632304,46.87288685542828,42.728802120355155,46.70876996763091,50.29618332659672,51.11322440141549,53.75471189668286,53.01894965140642,57.431835718604574,56.55046947700526,51.97383731017446,55.6841575053018,58.11545164114033,55.35393541271692,54.53611289125267,60.50570223795427,59.99654365453154,55.315541370692294,57.74255850832757,62.52078978570432,61.18820293382405,57.53796080658048,53.005091030236244,57.12938532475133,53.41826700693138,53.15846693768031,47.96695204841095,47.03285728705959,42.05621216098867,43.2044024994125,45.250622383165904,48.799955494636784,48.98845115618852,49.31208247874007,44.584962847871424,46.23481574912866,41.38499527863938,40.159412741973625,41.28858195104707,42.50125091065107,38.83929180851601,37.2857535343304,38.69767301181952,37.1371059983421,33.14996444858678,33.743199338271765,36.57414852060445,35.320763584043895,36.35683902662651,38.12432610583112,38.73609796466158],[28.954167553144593,30.419587650178812,33.02828995537209,29.82786499967767,33.13164946220224,27.826811285324858,27.51572546837159,27.803789685923213,23.265839219242643,23.978862277265797,22.29215142369436,24.05574954514589,27.373879780103586,23.92758578068874,25.65797063433724,28.864685709584798,30.140918815082742,32.571957883990784,35.24723398965709,38.77091242460279,41.31847029719781,45.91576919661827,46.393741271277406,46.819938125537384,45.06190488578484,40.54567948581574,39.770525859512176,35.87794298010276,34.86303648668704,33.9731970227904,31.994050148577273,33.55166120879289,34.11530271021717,37.514646159491605,38.053131371852494,37.65177451334244,38.59606107819509,40.80027330160279,42.30070311081604,48.58778326292397,46.02127780188995,44.721743487263055,48.93042450048136,50.61832407950878,51.8043055224475,52.239660460795335,56.17127694058683,55.438053317947535,52.354536643717175,57.23787615192201,58.64458311179051,57.711169296758655,58.69354888236449,53.57400808237768,55.45610845410186,58.28941962361001,54.31606152933482,51.7489055037708,56.045651983979326,57.12024677380696,51.824998499720714,50.4902864813452,47.185089762741285,48.66134794841644,48.4736756588089,45.045627875290386,40.52901531624197,37.001968661568284,33.87203921906551,29.993334841321648,29.24094258635236,28.78500967077815,30.767220078096674,35.546697692078,35.32116157263543,40.36868204696054,42.232749571873825,43.753131194619904,45.05829375981628,47.76842229698185,47.26506207356222,49.14252534063216,47.067369109641334,49.74647370510566,47.37772988397714,44.22478488574229,44.439334911036184,43.435552417341455,41.618235392578676,41.77310000238152,38.199964358543454,38.306024392067755,34.549986137680236,32.73023365999516,29.443159529069696,26.84204104099494,24.2524116828926,28.88505387265426,28.137834200456094,29.741909155645118,33.74603123890041,35.97085963614195,38.49216179611542,39.644271466357644,44.92140799038165,41.78299842924187,45.359860891712714,46.41546222266771,43.18531287633949,40.64963015860378,37.03804659428053,36.128803140156386,31.487879651035993,32.80732754905967,29.987740816237682,31.219204226315835,32.12867705773548,33.91552469477497,34.475140666507095,31.389227749519367,28.98794778222651,27.08467405763344,28.37098211755585,28.07885854347984,27.54212748474523,32.76886162404939,32.74216777638768,36.65779804517509,39.930688232961344,43.03413614446738,45.18181633328215,48.89396633080074,49.56840010099755,48.31394392257869,45.79737846570493,41.30507214904936,41.704095001063195,39.18855952050121,37.04387587823003,37.53123799309766,38.12376009270679,41.49037519846452,39.19907375725321,38.1318084791211,40.270817381271485,37.21758431120566,35.34866063176641,33.77764521671674,34.41427886176957,30.70797163694163,32.71319714077905,28.72768779618766,32.302709403914285,28.384307702888147,27.697539068776614,30.938382424324832,30.34845142970402,33.93121423239001,33.88223579366227,37.540565954620774,38.922169669920066,39.31372867771723,40.30167443939553,43.64528253478005,46.479597342199824,45.44069475162161,48.5886367741603,50.72602103258245,49.32624825973001,45.29839070638955,45.52043712644836,42.45833612092099,44.53889907932817,44.244013270361506,43.41917033543913,43.30484421269748,39.6939225102601,44.64858731229062,45.91077631930844,47.746851638429135,48.13475933135851,45.032998977524244,50.48292162468043,53.39971714704634,50.64325166770704,51.97473842191517,49.36901666900765,54.484715820278296,53.198866086956464,55.562995337618084,57.24126525363356,53.79468114872474,54.38539251374605,52.682256660616495,53.462828333487614,54.512459344753154,50.125797190769156,51.05864323672015,48.8735351330728,46.1103172536152,48.76651128869215,45.58046870342962,42.55216639908967,45.003065381935095,46.18142496624194,41.35818329449854,40.75326543364369,44.131616849201585,43.20700489825838,38.24394303883451,40.198517498291565,41.782738338206876,37.51548474183299,36.1794748001785,40.40912822045127,41.96291957719718,45.09115524314406,48.41337168301814,47.84988235661452,49.76163288241778,54.89401992069796,57.33931334944419,59.678831861403445,58.79989450781618,58.17280004834033,60.21414865958182,57.25868033719646,61.93015139050121,61.75861520620666,55.79465891850728,57.851623206349494,62.151663498730045,58.744473605453244,56.19994931106041,59.312860690599095,60.855762700825004,56.93201950954303,55.0588454642298,51.673959838198485,51.97713705782142,54.748452232997955,52.854923988398525,53.53150156232885,54.3927070160411,50.98927832557709,48.87636932290299,50.149020434146834,48.732299871342285,44.5409447751852,44.97835893719785,44.74158227964776,41.64203341054215,40.96541115618814,45.34785249175441,43.62094878668894,39.305985978290494,43.117812806608605,46.75640582081527,47.51974719168124,50.333870607351834,49.75687638282681,54.132492040397935,53.003365290944494,48.42243582335879,52.30038199464836,54.530564581820805,51.666031480950565,51.01537129123632,56.967078315968905,56.235570066447664,51.58756924973961,54.21688029096558,58.88453025228863,57.37543690578733,53.73687708195925,49.15528495707687,53.18124516236474,49.39712277691529,49.059871658293844,43.916280421468,43.12831486137272,38.16198697671748,39.22086750937409,41.41681617968754,44.97892428700975,45.35874569851752,45.75871113194877,41.23997028266309,43.16717434710257,38.40106560884234,36.94753445381345,38.4356105322949,39.55835591260449,36.197515050972484,34.34973498458108,35.41627247046013,34.05722194844213,30.245194925566814,30.27842791024074,33.065622465035204,31.882091515424626,32.91938401710278,34.668108377244316,35.21983276981715],[25.43838115828647,27.145694904859266,29.928377609872737,27.318069102156738,30.756828791571014,25.07204963889636,25.18300984989844,25.249161330692942,21.055522305535508,22.597072844600774,21.134931609292007,22.41900942416055,26.256706896468778,23.3715516783756,25.350267205526904,28.303120028726102,29.821690773811785,32.73359933053192,35.88792427795068,39.08103628276296,42.003817188252114,46.45415800359633,47.248580651311,47.691541699537986,45.57559824320001,41.09654797035458,39.871434152315736,35.78971870795013,34.615520482370556,33.283922804858584,31.939251114778518,32.717954905378825,33.4460732977821,37.253954917526414,37.58686667900576,37.420771652939564,37.807541980715065,40.42377089126048,41.865255230363616,48.00506107565974,45.77226038513526,44.81427100912633,48.99215229178137,50.721684660773896,52.1058390362778,52.321347307777394,56.35407898981013,55.55319452056253,52.09824217913985,56.93128632628804,58.34149365428561,57.15821499348173,58.29339765888837,53.12522070383242,54.951883113394764,58.109225064619196,54.33514632270449,51.64858119490206,56.04672830770966,57.366517240575426,52.2068731502654,51.032652043473924,47.734154447497936,49.587430343364396,49.20744832380785,45.50768185456144,41.423724708860284,37.63849324061808,34.891232802447945,30.867943716188766,30.44289621141097,30.4990269492846,32.09891869442041,36.90670609301258,36.135240419231174,41.3133500744322,42.75623549203171,44.12579482341613,45.15507608107618,47.759133184837516,46.77919102187296,48.51808168603604,45.99763440315968,48.63050626670619,46.43348882782101,43.37079602601311,44.05379990515351,42.80446219477724,41.557669841868105,41.677725202519724,38.44188239142421,38.94392181267963,35.00953643913244,32.776339912118495,29.260106522996825,26.856203664588147,24.021487131388188,27.99517660217208,26.730037037508943,27.637677854705043,32.14473282297227,33.73038627073767,36.763638973670766,37.40997762447502,42.8058242527631,39.443626078146885,42.73139435308854,43.888386249289034,40.52695986712996,37.96592601384527,34.412137409606714,34.01627474695723,29.454052316485942,31.295808581481857,28.978864180950225,30.582229410200597,31.89616698244065,33.97085090745957,35.116300020589584,31.71722723411117,29.38162069683044,27.03262405111,28.208288029882517,27.342202300154874,26.178660520388252,31.255246084405066,30.480069500088618,34.608743610640886,37.65992708471104,40.87031564270193,42.97692098103708,46.56729433496693,47.60106813638171,46.286389903851614,44.04132309717229,39.65165737082964,39.954143604744715,37.92129832875289,36.152137641979905,36.757556974713175,37.973705318164676,41.548858116277714,39.19458430130076,37.73567195649688,39.85744645361637,36.629400704070214,34.57979801744684,32.62419673857472,32.78342325526128,28.793360543654373,30.260750483450618,26.10509244047919,29.392347792149952,25.120109824586862,25.00623579533711,28.50671250849585,28.312855793780738,31.660858314791124,32.198289937498636,35.56361052054724,37.401394236021915,38.25819094919931,39.416842906538804,42.78009752706717,45.56801115510275,44.709933252191476,47.50298305811968,49.8201049192672,48.137025363912855,44.21325754189437,44.19949533058941,41.29472170663649,43.27752341904846,42.86321730609409,42.04534242417512,41.666695810916714,38.300809081868124,43.10334163217581,44.608174600755625,46.16746795161129,46.750378239529795,43.19364136355345,48.7405192047208,51.79426323547098,49.22707121858696,50.94941652824078,48.63915888962634,53.78194502760933,52.766673298064575,54.76739732272374,56.3069601495588,52.683756579024454,53.01644851318702,51.09247164447215,51.626116483610836,52.44886744191568,47.994295727032046,48.62002203663042,46.252099066591384,43.350040697390476,45.715938030227115,42.387030337485776,39.554556958876105,41.95734065539462,42.83555206607126,37.999306873321345,37.71737917049023,40.81925029982192,39.55778585342249,34.79550377954361,36.81049465012106,38.142510742724326,33.7866583746062,32.73714907860827,36.92235201249928,38.66503643388068,41.48811841267866,45.25172084133455,44.521037383688984,46.21205165650205,51.3646343751168,53.66157607388825,56.0611463310341,55.100457075951695,54.6033603366652,56.65468986054677,53.80170960737542,58.5597764383177,58.381044819440206,52.53392401928666,54.68040867569426,59.05983592061343,55.710434158675675,53.26934655044967,56.49459583674152,58.09810647010166,54.21524463533541,52.55351250780129,48.88678144252476,49.16109515332281,51.75159263230889,49.58113660613308,50.2396907929428,50.82801404110864,47.60127073441045,45.58467027543708,46.54950181364777,45.03728186716486,41.0128322723277,41.35777622421236,40.8720446035178,37.73935096973129,37.170313843377215,41.41615170794166,39.54114411383656,35.26426833130566,39.17200325853787,42.73354225288305,43.65591852453793,46.481310272359174,46.049049297281584,50.45158398292319,49.26567469302521,44.87077090474962,48.836329662788074,51.058424485291894,48.25513032456746,47.827130580942864,53.71305464453763,53.032303438367784,48.559785556276765,51.30099713122332,55.88369856722483,54.44663318161873,50.933274878057716,46.42314310002712,50.57475971776562,46.89600620464945,46.21939629412238,41.19798096926555,40.17742341053992,35.19273487064725,36.632467360317214,38.88318265682162,42.56555446310605,42.94472138017351,43.023504683804155,38.65174562901084,40.54651446887968,35.94712242710236,34.04176495372324,35.32906579971616,36.15035982229633,32.83564719518746,31.21568993548048,31.955370177442244,30.3492661992533,26.90698344203285,26.889382531416597,29.29125995939592,27.88522197926366,28.89302258920029,30.699986450541015,31.335465960682125],[24.489025131253953,25.926980922424246,28.752450538448645,25.431646404948697,29.235943794571337,24.2966173590429,24.490662554409234,25.431292844533427,21.175692003705098,22.293726750379466,21.414487731134177,23.536257238099957,26.467777412023487,23.02282978310255,25.738136344840434,28.795670059638358,29.5078537673876,32.485449405136265,35.05308205271663,38.57412341465066,41.29125533945409,45.815996639343886,46.32315949338015,46.38774486826425,44.44157201590297,39.89958207864171,38.89105716073017,34.91032775999604,34.34647089433945,33.57490247985643,32.646288754783235,33.79789807677264,35.03080620784823,38.65134926919018,38.590492150749476,37.86301695047452,38.40707180245864,40.30700570754863,41.397038466338806,47.67366559810033,44.86386696972213,44.13592485689466,48.505828238515356,49.87121729748322,50.8979936659269,50.924467051660564,54.96594039746276,54.55407124459141,51.17131779345717,55.828483208654,57.63056098687898,56.669018501568864,58.014666573862115,52.79078615124621,55.124098772229104,58.07892671615671,54.05649333707902,51.79318195520649,56.303044700824714,57.159253342135955,52.00917305191227,51.1807492639784,48.11787499885557,49.5821825438513,48.943589514905526,45.400771372721145,41.047194726753304,37.55593318459555,34.32568180179585,30.662185261085387,29.770238624780276,29.862155223592676,32.06074064358035,36.714041038395564,36.458342488001875,41.92478556260678,43.20455219458937,45.06540820703137,45.89724629603408,48.25569776655081,47.43372823648602,48.81126190666611,46.588581934277514,48.859098373465635,46.272566933266845,43.53314772904696,44.161482835671826,43.503663605801094,41.96591943594487,42.767898415918246,39.32630034134814,40.02982520897771,36.220432345512414,34.2829096285686,30.489317975343795,28.425359456820185,25.214937323527167,29.636757676887203,28.340279302509764,29.86086689849374,33.72172466122833,35.246184684894736,37.840794073694006,38.30636894547619,43.27714433573014,39.69154340632179,43.03803592776589,43.7465701551362,40.22555116835726,38.07572731755593,34.19608229963283,33.63553021692768,29.035790056690725,30.373854675222933,28.081142927753373,29.095092835376203,30.629779973660934,32.16440612470518,33.599941907910406,30.729346971300533,27.979773804644857,25.73242677630484,26.21746771909198,25.638828614652226,24.795651056604836,29.78360251717515,29.59554056864375,33.650029545223504,36.85174208606097,40.35788828738546,41.98507876593842,45.86600465267101,46.63042419652731,45.791124338743174,42.97339175929687,38.5006972592991,38.32889490748865,36.09944263291179,34.017114842435056,34.99485173817801,35.71048699338993,39.484953097402894,37.5624410797947,36.279251406662006,38.743522398562476,35.96670147299022,33.72307310464861,32.27213006578373,32.6464253798033,28.88061377065636,30.761253831475763,27.146652150574454,31.01371048993322,27.349448680973634,27.24241825550377,30.28675346889223,29.505628236142574,32.640824301999686,32.8777164426402,35.82539402782154,36.976973946278804,37.95997946883807,38.37766965117455,42.08523987470264,44.38309132834464,43.015351159644425,45.9138332493806,47.862776402352324,46.1595135329219,42.22220891721417,42.54889271387726,39.80120873675471,42.28541462248612,42.30151545910625,41.87894188427215,41.96672663745706,38.7461804128408,43.86674859643726,44.82357526411583,46.42792167608853,46.40962543143814,43.0276848829955,48.325906489289565,51.173187229403375,48.40549518423205,50.176134323596614,47.884578862224984,52.89115648345222,51.335653179008865,53.48008973647131,54.850369479932404,51.44435285986246,51.65252737179962,49.758058280716945,50.41260066746901,51.211841397357304,46.68668757276217,47.608926228083234,45.17112047033683,42.67541302496991,45.14834041751197,42.19372924542241,39.047774803483286,41.09123301165853,42.391407184453655,37.61272404247129,36.5492235672505,39.947557035145,39.352346929939706,34.0977435374012,35.800659919483564,37.509159484354825,33.39297112510379,31.67423495942598,35.804027049492134,37.29582854650428,40.59887219410891,43.678790792831634,43.356395366836686,45.37139039824206,50.56535448383186,52.99758063563171,55.433473809291826,54.84969490505159,54.313088385693234,56.55452910637163,53.80339882968917,58.41380476466998,57.95355372417766,52.00039643298627,54.28702538833408,58.38570397919871,54.77370433166787,52.40176803472742,55.685246381009854,56.86331667690927,52.83006775411518,51.3239341743315,47.830790107563935,48.634112971578745,51.40520064843017,49.504317528189794,50.52647211623713,51.44464614084652,48.28519379442784,45.93352054661116,46.98680736030995,45.93070595520112,41.66752248856051,41.66595093179013,41.63117108843628,38.608086631636034,37.493727108037476,41.877323201194265,40.33237983534818,35.80521086265377,39.31504687402317,43.04525218393013,43.63563157714265,46.638521961697,46.18800095441095,50.47805034200203,49.07698785667148,44.420640571112834,48.44707349788072,50.42439191808653,47.42212193858485,46.886007015552345,52.81640550975899,51.806770895550564,47.14947837943961,49.97101691786696,54.51978222172444,52.78936775868494,49.13547587511882,44.49158706582314,48.36309903313654,44.48590917287835,44.16249960656908,39.04476969759761,38.49296731157419,33.569058511995806,34.4006969169446,36.744385750501365,40.27563504202632,40.87901643677085,41.46173952641706,37.19065490190297,39.47163576553826,34.81311902861575,33.2160214923014,35.250225413690096,36.36097850994708,33.44866750532527,31.120341783046957,31.829567783955735,30.887898741879052,27.221324205225898,26.480725744513087,29.354162664322654,28.425213397291973,29.490976974699652,31.19243791404768,31.6759184297484],[20.745811473982798,22.89417369763418,26.339473700138107,24.215741903123043,28.478691031161148,23.06337507069319,24.179809871511985,24.78828325763209,21.311548525695336,23.72353438633651,23.162269213873614,24.433240441799946,28.116337510155777,25.564584786082442,28.39713322830985,31.067748725391304,32.18623696925932,35.67601569954488,38.832062328050775,41.90102801802518,45.04353971335766,49.35976922350968,50.251242997887154,50.37122788713127,48.019289407836126,43.56541676742382,42.015998236332514,37.84236682536856,37.0285572342613,35.63495471918808,35.396532689447106,35.521019823125464,36.80236250828337,40.90620268971941,40.716186768896506,40.40395757889171,40.21952974840652,42.734672857745466,43.77556655677396,49.787088695958595,47.48107307971486,47.17395286515057,51.45228904223929,52.89546193492941,54.182426260248526,53.93787900772434,58.082106247630534,57.573579577657455,53.73032277845189,58.29507004661518,60.075391885884365,58.771747704397896,60.29486316375481,55.04490842147246,57.22873912730012,60.60722103283869,56.8890857504491,54.428954194265586,59.01326558002596,60.23570008590176,55.26988094392144,54.55992657251842,51.46769612298916,53.41001878384597,52.62465077706186,48.77741172833448,44.96950598565952,41.178861861911265,38.46562136046714,34.6233131034814,34.15451419638778,34.696124074595396,36.397979811572846,41.08298431887727,40.17700356517905,45.64942001167326,46.542215543797326,48.096178163462056,48.6757930372707,50.95431099056359,49.52957084229914,50.784902248048056,47.93916248559673,50.174495925686514,47.88919370727442,45.26720888627177,46.508277883425826,45.44227345009141,44.673052086137936,45.2604821185368,42.27852143688475,43.31899008112381,39.32273858372784,36.88496683580003,32.99040281821746,31.058436607064934,27.77813137769917,31.22369545600565,29.309141489381442,29.656052357901327,34.31519581010293,34.86601128579831,38.27698476623247,37.96590409638302,43.10167340557127,39.17926141172493,41.9631607410821,42.826613754532204,39.065349129035894,36.93869927948764,33.18772081911607,33.58211583597946,29.206385642584333,31.358542053971952,29.893947344413064,31.403043556567475,33.46232606579616,35.340358114874505,37.45942818896778,34.231076726609395,31.637069059243668,28.897860752757264,29.21862362571277,27.869568361949653,26.108875041091515,30.70662344771482,29.26387104067071,33.63756221923681,36.4035299773963,40.10845173835809,41.56990062898752,45.237398811487935,46.61441043292733,45.72896233400436,43.348653540065,39.09198464928978,38.65968254819849,37.26406438706581,35.767174731348454,36.9716472518206,38.52100361166158,42.548753766973675,40.586957497501096,38.80153103310833,41.21316638592799,38.22266087693915,35.771206647822105,33.78259512742263,33.42285844669493,29.277478981238406,30.19281007325868,26.350428351151184,29.54969626460529,25.223202809801812,26.179107698469316,29.656813238398804,29.61799616417716,32.32876152128738,33.51740416750105,35.98372446588885,37.85653137423293,39.520236777335626,40.19064146125065,43.882512301417066,46.08349478293952,44.9601066596129,47.29872938366989,49.457269007942244,47.30556429975956,43.576865921432486,43.57560117206234,41.139083081676006,43.486074183346624,43.331326695655726,42.9176744980986,42.576110639111725,39.74744542517212,44.54352165189954,45.90961158349978,47.08301942537599,47.39109794393755,43.323318965821706,48.72549487488473,51.76478903091995,49.31329371596682,51.66768810049186,49.81952150836363,54.828768885528056,53.657670379169396,55.272387407347374,56.41331183470229,52.7787763254266,52.5628280802951,50.31886752890052,50.55983474233281,50.93595429700261,46.297591306185964,46.6828451829766,43.86255831737415,41.205140372709195,43.04262466154522,39.88211279329394,37.1279197483728,38.910568093736416,39.6142181149919,34.85164810629019,34.267905168703585,37.047508447561235,35.82954192432252,30.91494074061118,32.556737242159905,33.68909918986881,29.449460283380695,28.156269142010927,31.994846095038287,33.97256288090314,36.61361907398735,40.621354789216184,40.160027986510165,41.69546813631279,47.003404981706375,49.00331548233728,51.70828750014478,51.11606561594265,50.95267282663594,53.297013911705385,50.85006075378701,55.61819499811681,55.04556549067585,49.367907133278884,51.90917734763651,56.09061048518783,52.528177336807204,50.43664863097909,53.97451784937314,55.134720426064874,51.14725839893092,50.17603654791046,46.14723781400127,47.03659880098017,49.445634329994355,46.99123576154367,48.0368436809211,48.36461114556027,45.640663354038594,43.4822012959701,43.8113321887558,42.59703729459808,38.73921342346843,38.42833865046997,37.82204295743591,34.744937951127085,33.78065264186901,37.769678509643384,35.85324561185076,31.34804373443179,34.96723317072406,38.50976198152709,39.48958342749156,42.6403432228764,42.63119805413826,46.94340609026211,45.26162405065757,41.04784188211716,45.350567775159035,47.1700725406172,44.22917087299461,44.271049174292905,50.02934530537849,48.95147285532509,44.679672073591824,47.84388766082288,52.13435716247974,50.395094921592175,46.991546380412615,42.45364694636141,46.39824876064166,42.635706131806224,41.63673450493991,36.83730576114826,36.05307263240361,31.1543582112678,32.55341586145978,35.135203475741335,38.836546175494206,39.608241870866,39.70212103132896,35.872295149015564,38.213088386465664,33.943696448644886,31.461544077571972,33.231196439701314,33.68326787963445,30.99218355934577,29.084229075525297,28.942019072771057,27.5562276649558,24.859781607128827,23.71407226679764,25.60172589777979,24.133664989409944,25.06841778985693,26.823673006319375,27.308660423962586],[17.883725011480827,20.285455334777666,24.099187735945552,22.3578465095109,27.027328422323173,21.88498343723912,23.586040676274926,24.48760213326604,21.55023987755126,24.390223680318936,24.334868143293157,25.554556175153746,29.07350076015595,26.787188316760712,30.013663890873342,32.47829240776444,33.37760365202053,37.15472865737718,40.31397268845404,43.25922681419164,46.5226462321972,50.724792695271454,51.691365659058235,51.64349704928363,49.14635939686826,44.744590350255656,42.99758673090306,38.80700532431276,38.18287880639308,36.75084460479844,37.14387012376783,36.88817020644886,38.47388840350692,42.711430414335496,42.218941706409964,41.83249588994237,41.315873541111436,43.76691969970979,44.575071357963175,50.45986280318737,48.15557274114469,48.22565009404636,52.52604181799124,53.80606568209593,55.051675972467976,54.54580816527737,58.734257968037234,58.37656476678711,54.31811337132878,58.70626784695656,60.678178447223274,59.30055784207872,61.03797252577521,55.76705575620845,58.13817471911083,61.64091500212147,57.980474648396616,55.65292090702562,60.32753146547355,61.504973897429444,56.675628838574276,56.23619576617322,53.27340836999424,55.28013010763165,54.263278792419946,50.33706027380019,46.73574809260165,42.95113248071539,40.3110580534445,36.58951445602854,36.133304825186585,36.9628462901336,38.66429359518611,43.2490431416245,42.23781640420586,47.848581175188734,48.402833980344,50.04746305175854,50.357562246454314,52.43489055069792,50.750933196396026,51.71904110519992,48.69861384487039,50.690666080170416,48.37719622762657,46.02593905126591,47.58702254733041,46.62424272516664,46.146094845138535,46.99478673384464,44.18501115551874,45.53990172585364,41.529721816579936,38.98748060968399,34.91257382513906,33.2682074884143,29.782682377504972,32.88751370714597,30.642331144639154,30.694198040852385,35.34367209236118,35.301513438916814,38.87570817194502,38.01628086785964,42.943897111578174,38.73349283730893,41.196579961678495,41.877322285595184,37.91759604203133,36.07222318962283,32.25489789732327,33.11629784000521,28.931747386605608,31.243684637085053,30.310946547611707,31.768545074109284,34.2212668366674,35.99720139375975,38.6499668680718,35.520337803647884,32.84233544744331,29.915156382058232,29.780823934259388,28.150593864708416,26.056604930653286,30.269657103461377,28.424001897473907,32.86828358014481,35.41689642822475,39.36570470197105,40.44130250527628,44.11738350764845,45.69348291096243,45.0554953142528,42.632789186464144,38.5013037636023,37.655720190210644,36.670865149922726,35.38319603733034,36.90815637728663,38.68171525168074,42.921755537070844,41.18147890667349,39.20690829181383,41.74340000461464,38.90003639332886,36.252586498832095,34.25111446902645,33.58819635909803,29.424446464805605,29.99677034505725,26.428731495622202,29.525625196907466,25.30867981999994,26.82840017985923,30.194714471400832,30.227818704826525,32.52506446685277,34.065437541325515,35.9773444300368,37.859787670458054,39.97381410514503,40.37943767106284,44.21349038963447,46.065365184322495,44.827773060974906,46.86487703237153,48.93750723744244,46.52308591908704,42.94596552030851,42.92770445777315,40.7870698646687,43.30183568394103,43.2863005627179,43.103930725838396,42.7802087052008,40.29165450267755,45.036641600233345,46.31325724579303,47.25120687030757,47.40567583903655,43.06955773700962,48.34644580351212,51.36104320972406,49.00169136044321,51.71274486538649,50.15190629174822,55.05420925408472,53.82738483642752,55.19119730579383,56.09972208073178,52.46420122751882,51.93260805825622,49.51175462606057,49.57200834221709,49.6813429203722,44.96706698927873,45.19784598711867,42.136069964944795,39.633271909655086,41.14802485363311,38.11095651512316,35.42878196510971,36.833259513919785,37.428622685950174,32.75067588810123,32.00095498539986,34.5635195862036,33.38610866755166,28.41951083241602,29.828775187371118,30.84016386420942,26.70411744619174,25.27126732855851,28.88904612432572,30.991161682264423,33.516927524007926,37.64934554434421,37.32719361290665,38.7697594281957,44.14253021217549,45.98511697803455,48.839807660470356,48.45234995491361,48.46794040029399,50.967885057630106,48.75797921092462,53.50772322026278,52.71584569550237,47.15523250478511,49.9070019015319,53.959111532718204,50.293913260436206,48.4088848172789,52.10719026281895,53.020225700754224,48.99447961818135,48.41974014417103,44.20118887827547,45.429525346658735,47.72136174538276,45.121533884495186,46.38798236509851,46.5792727848981,44.15835284930519,41.92367339286446,41.893511807994855,40.878423535436234,37.134128220370556,36.43679803223223,35.79197379039876,32.78321513199627,31.57045288852614,35.389131403356664,33.49084900168747,28.87930277028092,32.279700232109235,35.80186107693174,36.78609991503814,40.10556063523451,40.327659155320674,44.563075843941355,42.61158533938275,38.5107427485038,42.9799930694624,44.5653901581769,41.560470979141435,41.865535225019165,47.52558234055717,46.237472382329905,42.09900105763005,45.48423180371903,49.59337446545339,47.70515118192148,44.38189780446784,39.858393507535226,43.68997657212645,39.912343794530614,38.71301657461713,34.06769788417349,33.3944951974903,28.584027885712068,29.987040338798355,32.73184464908243,36.426254768498076,37.40478391646818,37.47716257078948,34.000682297009305,36.5674110215506,32.55056045843837,29.74543880167934,31.775153412161256,32.00812759507448,29.736674061081683,27.67322296428106,27.000889846568807,25.792883231709588,23.598615114326076,21.772090591969018,23.315617851401967,21.84926494195038,22.73869035688552,24.441936955339774,24.808335212150716],[20.744772781910125,23.431351228103566,27.7565290682813,26.097097425881536,31.359585463204365,26.953698944177887,29.02586363155448,30.357124131887847,27.591862746343764,30.297268813930813,30.412047120813458,31.85674473706181,35.14148973678715,32.59615954311614,35.988691726429344,38.55566762869204,39.1782842297563,42.89071188348682,45.70219472063738,48.87860164416306,51.96211166663713,56.24083631289182,56.985664947235456,56.724315424225125,54.41145648474704,49.9732536903143,48.424972978915264,44.32148537119205,43.995650510125806,42.810862209009834,43.17207222881138,43.14165673940526,44.74681194411225,48.90585123890967,48.421899275983854,47.877180952362224,47.47608339767424,49.65594084870681,50.3094587053817,56.24471948434641,53.632320864330204,53.8052822561186,58.20099988132653,59.285742853115664,60.29078873436451,59.66899242444773,63.844809540937284,63.75648217216481,59.762729385412584,64.01171618132076,66.23552584162175,64.97476862717991,66.82903546546949,61.539707471774896,64.13635063870983,67.53928960347773,63.754980081553455,61.61114832071282,66.31063899994471,67.27537241795996,62.41963914002552,62.054161271640076,59.141224951326045,60.91679825142759,59.88256239634233,56.083183924237886,52.23937344905276,48.624320455504005,45.67546330079527,42.09701075641427,41.35790920005785,41.94721219759197,44.01817473240568,48.58850213352867,47.93409593291314,53.5678101377854,54.27266078538822,56.05360153453643,56.422506284874174,58.47862763571528,56.90629546935075,57.77215021315907,54.85041567633817,56.692895783736496,54.229025800491364,52.03804029869327,53.56091050865702,52.80129119609802,52.16145504965866,53.145307208366575,50.195996005001476,51.42003679149955,47.45602505652489,45.05265131201893,41.010381912110425,39.271032232705984,35.82202978007553,39.167228311537855,36.99182151244311,37.07012283160126,41.709514366303814,41.575440369011574,45.13342690989274,44.09167549375494,48.82950435323598,44.4371952743332,46.689269758292575,47.11443309107687,42.97245088704093,41.48523451225502,37.56339343483231,38.644383630625605,34.567384034864396,36.6815529013613,35.87882041328541,36.9668295715226,39.54788049613505,40.93082248445438,43.68113006141114,40.91102105428078,38.00690069191686,35.22440591872242,34.64851491013176,33.23446135900727,31.307598922696865,35.273962712549114,33.56666664649442,37.96766539014832,40.4208187088769,44.63492005361349,45.20161604087885,48.9930260208341,50.5842523530029,50.339124640414006,47.627757441036316,43.5517246291572,42.15743347676534,41.29635768679929,39.871559953413595,41.78403005461441,43.18288042198036,47.57914900436387,46.20607229138362,44.36650340428693,47.12030064422681,44.55685913444633,41.81003815122176,40.068245130902696,39.442942825149835,35.37689125306981,35.93880947177661,32.58670806278366,35.64032694230437,31.397299793129903,33.141262312152996,36.51106043979401,36.52296587717745,38.68596610243023,40.245488415035794,41.901357576501525,43.52826939966833,45.787987908106615,45.76805541932854,49.80102163155946,51.285226908140885,49.67316524035672,51.65643091575892,53.397172780531655,50.83835510222445,47.36524422292658,47.59420184365745,45.72120727767016,48.594615654246475,48.85016313899287,48.909975063870014,48.75641002411588,46.391597633655145,51.20157139892977,52.30171761523592,53.191259238106504,53.072546104119255,48.71854608806374,53.81339265753537,56.71020942244678,54.305210370807785,57.16280489067514,55.683864489555994,60.473199328233896,58.890946663939324,60.283248097383606,60.98706332346351,57.51206968694827,56.74618488737074,54.24971547313861,54.256470621856735,54.13435226714317,49.344035470095605,49.585750961004344,46.24903225204195,44.129160754502095,45.27745926325038,42.53788400914993,39.886940729877686,40.64792362067072,41.211819773798304,36.74823019752699,35.46111553447779,37.74162628801366,36.81872201712221,31.755712976038943,32.54786856537814,33.36681472869213,29.622162179251543,27.719975930147267,30.59180420169974,32.883676138517366,35.221080325235036,39.32801751785927,39.600100636170566,40.90441031905616,46.38654911720073,47.7784857902391,51.047834861473156,51.212526235736505,51.61719554600908,54.418139693547445,52.65065637719366,57.31656832817937,56.104446311539235,50.76512070282289,53.8600123635149,57.60371996329577,53.7033240480019,52.17650470200359,56.09210919140309,56.45268332677247,52.31648107134347,52.36614797621818,48.03223771241066,49.89097660649819,52.080648742777704,49.370533424734354,50.97058843199451,50.974159683899664,48.981700711225585,46.66016426524212,46.13609089742404,45.38560587455169,41.864693085563594,40.6309983308132,39.876025661757154,36.999434327142396,35.46902426908572,38.86703725228275,36.91968077951103,32.24814012903253,35.16676337953716,38.520700657395246,39.58393834310939,43.23641349932856,43.937857888947526,47.97771172490764,45.467963470394295,41.64354583930482,46.39064030186894,47.44375580757751,44.28068661441331,45.06120684327799,50.49801059912561,48.648442787736,44.73176164840794,48.53565226812525,52.26059218509096,49.90144877204119,46.67321014991845,42.114838960590916,45.40367851069883,41.4150148461603,40.10157422510008,35.805585962345354,35.80074764191825,31.297456602487557,32.14242601936418,35.25503562063529,38.74446641893629,40.26839008876895,40.692407615563624,37.81340114155942,40.83297320303627,37.08729325021693,34.14259790303562,36.66838017090768,36.69769826506004,34.953562280875964,32.669188228772605,31.386658508740084,30.481874821666988,28.880031079537993,26.223502264151925,27.269914985701615,25.753368493567294,26.38729344670439,27.771070909281264,27.653562856061654],[16.976485308271272,20.059749475887664,24.403310459289813,23.884069724678135,28.837180616222604,23.8736900990348,26.305925011008203,27.059731508713348,24.946513102785616,28.410416997309564,28.607251359149416,29.3199273023248,33.080669479570425,31.34210084742407,34.5842097292688,36.77707787575114,37.819811470260234,41.818418945549816,45.19611981619552,47.885859777114526,51.33452618949436,55.38313558166809,56.53326618558115,56.46278136519279,53.77078261012254,49.46118509126787,47.44336305450848,43.21595643509862,42.52982625820265,40.79980235089084,41.62571445353525,40.783664497884196,42.38635732323722,46.838162072256964,46.259468367704386,46.098339814555224,45.13682194807431,47.87174947539069,48.58731223787365,54.220160642705885,52.20288617528428,52.58985215939252,56.80913506070762,58.071798066774754,59.4164979081782,58.69074739094691,62.913961712532036,62.56973579969465,58.23809655570483,62.478483394510214,64.4929350861473,62.914186502077854,64.80401345698237,59.560498496907066,61.874620709175666,65.61375782939267,62.16144165227887,59.77784724572917,64.47085545650428,65.82552113584585,61.15712613495845,60.8293382203545,57.89026300875545,60.13228692432934,59.01466959303434,54.95634729720826,51.672869222295965,47.78658199577623,45.40488699526323,41.65971164076513,41.37624997100518,42.384128877660544,43.886861830236946,48.44676939163055,47.150793498703734,52.72051400215716,53.058287993535465,54.53217201465799,54.67993231616141,56.667552626097546,54.620613786661,55.45301336764939,52.064124935550275,53.94593400734402,51.83522377906925,49.656265418349726,51.609614473276245,50.44979993433366,50.450258098539706,51.19751761699117,48.68425693220725,50.20820165309457,46.14262659886203,43.36997592142195,39.314237050988254,37.76687231180645,34.33239423047935,36.8232748448411,34.26432340994073,33.52995019665404,38.553620916868496,37.76532293554732,41.82113842878133,40.33735436925781,45.191903228511656,40.76345115518581,42.646611509066865,43.34465995840148,39.23065037747644,37.583858551490145,33.96154890449167,35.606882210026235,31.787634990173892,34.52579733838807,34.227609801384666,35.85580069568241,38.60883521731139,40.45583589655599,43.50719004211676,40.30567863878175,37.70954541167641,34.601261239187245,34.26244045672796,32.270932094386744,29.72175383061742,33.41311311769183,30.760198832993826,35.255462723051366,37.35576335459809,41.43465781069077,42.19094393982979,45.649248953936414,47.68029108367103,47.144144275452106,45.01547588562207,41.1615751278639,39.97775577455343,39.67854185389376,38.80535451031803,40.55016805728629,42.741484683862886,47.11686385407002,45.47454205316967,43.24117122796855,45.756198262194594,42.90487519913118,40.14588657222993,37.916270408044035,36.776854899953626,32.52955574477799,32.36901318805451,28.89606650132165,31.324231244263032,26.841382962172393,29.191589090843387,32.692723357171595,33.238633196210266,35.0785594750977,37.26023812537085,38.67037289434719,40.93784957778762,43.53104307309501,43.9734603100058,47.78316752822089,49.43110896770803,48.276228781084,49.85841590727405,51.95676815131958,49.20990558381873,45.88350813960405,45.69449110206384,43.9041849273499,46.37386369222943,46.31766145256604,46.22344441061923,45.652038781135865,43.54515705436215,47.98380091840089,49.47009634285688,50.05948853442245,50.36183529839866,45.59027296719245,50.785559692847606,53.86005571204178,51.75998522217667,54.90733603034582,53.71138478663098,58.52152237630866,57.48153605106779,58.453340105135304,59.12005431904567,55.4117413519789,54.49947424758343,51.82873287965396,51.553715138836886,51.26166644237833,46.52459652905946,46.32026443661976,42.91640672073367,40.46403548501668,41.28081695997726,38.24014341742088,35.978658070580906,36.89780918021518,36.93765466253771,32.47907859357343,32.00300778259983,33.824816211450496,32.18543027446952,27.664636960279445,28.747356574972144,29.091661303544285,25.10205671726534,23.99522722524844,26.923721715646117,29.52180865009553,31.260249579142815,36.20838084350039,35.94730819874647,36.86186945219937,42.29847513321737,43.57154107929173,46.7778117918914,46.56804466730521,47.046773390661414,49.70883924967441,47.944245859281104,52.73912141243673,51.72144137727524,46.5462660981959,49.5924462660632,53.56125287718655,49.910642943064985,48.408315907456185,52.33701497987559,53.04776372125844,49.08587553204655,49.161719060285016,44.53316188818484,46.02166565116312,47.93065135654569,44.86721586345852,46.25119050971905,45.86951735957474,44.020335765004965,41.9581884469909,41.12068585851584,40.09247221514544,36.86906315224749,35.70775953069825,34.52330837108324,31.594558299732707,30.419132383311215,33.61152609756894,31.385980866437666,26.872131219921357,30.10748298473119,33.321145581190706,34.690261401700035,38.2157727616902,39.01252998110481,43.13015353492523,40.755987070481055,37.22801578323892,41.962342140042075,43.20195588362526,40.24865009541916,41.22696330683959,46.56834969716743,45.06016988000005,41.40710708020238,45.16631330817366,48.86796958719544,46.855302947378156,43.83751340419891,39.48773964387459,43.14844295846125,39.4875448907006,37.66267775765689,33.533830259670395,32.865992630177836,28.344944266405886,30.047188800873364,33.019033549884554,36.690554558288056,37.948295838905615,37.701687533142255,34.89387297518135,37.578535100475996,34.096815624090574,30.617380021485477,32.51702236657741,32.094043104956754,30.315477823836055,28.612528902714445,26.981750328306326,25.54715506077777,24.59796427488296,22.19141760855651,22.47531132063049,20.533890758322883,21.145249177844637,22.71275563993948,22.932258324391047],[20.438697486140075,23.33373989359262,27.27641576679875,26.550284538041424,30.98773638664793,25.351828844959897,27.182422748079322,27.29836258816809,24.674044740892825,27.948785522935957,27.47309077075141,27.891323396128886,32.184815399442876,30.40702648743409,33.02870929993455,35.3680921208384,36.92847433306584,40.64104749882841,44.237817887864814,46.933872828105514,50.348133931555,54.490640397665665,55.67652235620119,55.91687208864055,53.3003104034634,48.94602470357974,47.03776071098784,42.77625801989904,41.672400928708974,39.75248455942133,39.82363611126732,39.1718417910017,40.274908964425585,44.682265451349814,44.55654242592966,44.70190003144267,43.989616078985776,47.08837828390219,48.17186996297419,53.89395125248597,52.10102789784706,52.01895334232518,56.15091552777982,57.7200479450086,59.24954180988237,58.868871311893294,63.052871459485374,62.398034075429045,58.25422149989198,62.7545626327408,64.4191614572697,62.8278679250503,64.4119620613438,59.19969461524967,61.12026196428886,64.82975051015941,61.41340450636608,58.71905778141163,63.28463568472774,64.88124777856672,60.06253093572305,59.322941722853464,56.15556825738721,58.49165729327216,57.70993552544845,53.663618900642504,50.27744194569387,46.27008136622827,43.994799424737536,40.00163463550963,39.87034721353475,40.586412858451986,41.87984994925002,46.5874248960235,45.19908556995614,50.5146361281164,51.245187768576066,52.425298628765944,52.9178613978218,55.20681185483119,53.34204658707891,54.60881097388448,51.2570419766476,53.539861097497855,51.61514831642054,49.028986149248844,50.696184264595395,49.18418881857735,49.02793904677571,49.23717989383852,46.65171977195138,47.79118722821198,43.69890098447495,40.90335812894023,37.14081286635496,35.20274066690206,32.11779777694857,34.7015566727599,32.44224204179283,31.653054896690602,37.01631192911358,36.78855164521696,40.91967305933014,40.032182114794395,45.31190481962236,41.240970182133736,43.43531377046756,44.52290181974569,40.656820333287506,38.52592240617968,35.08209695665751,36.33618684453898,32.30585188401623,35.110994527945614,34.27501092841098,36.17469680347192,38.484057126419735,40.63456358407778,43.07265087877364,39.57574107808433,37.18793451609934,34.20906319338014,34.54179642611607,32.716296618133924,30.3601437515699,34.52748973544448,32.03536837839619,36.53263280873965,38.81316956634738,42.544822849522575,43.907752089075444,47.26216861068934,49.20921720995549,48.21327784588896,46.352856787814055,42.37280819846016,41.79603013866032,41.129179029681815,40.14215189666866,41.44431205452945,43.59781286756582,47.71788381573434,45.69143891038815,43.57296637208617,45.851896896510006,42.665166311922455,40.159419332526376,37.73200500956801,36.79262931103301,32.44059643595893,32.42652783548688,28.415259324780187,30.668632837029804,25.70708325335071,27.6083081048594,31.464711014800397,32.236193003790426,34.56552440244472,36.566827342971955,38.69587456329916,41.25913034332998,43.36981979004225,44.36985573390569,47.922661035949496,50.11406992025456,49.272495440892115,51.135045236200455,53.47535047592083,50.997842805802286,47.49561919042458,47.19388991748872,45.02393385293769,47.142419394962985,46.77266993927682,46.28368888291197,45.49304605944266,42.98518938789544,47.345159264014505,49.16510879507227,49.968507380974515,50.68146457952681,46.08564918215274,51.538447718632696,54.7378358716611,52.61797008736206,55.393676555500925,53.895472618629974,58.88432556950645,58.10931285635837,59.287061554503126,60.26852357114355,56.452716314371365,55.91903434530823,53.4080343251559,53.271397359465304,53.26590182779499,48.60608224888125,48.442900363373354,45.31724198565533,42.5020373123418,43.63224646079064,40.269400691940035,38.05543056904313,39.56201753227443,39.536440130525534,34.92706264837825,34.98315837352531,36.94687192047833,34.945921901386185,30.683341142615113,32.20156043074538,32.532544618547895,28.279356119298303,27.641659976089212,30.90915780772772,33.45796088720914,35.13619463059538,40.235953614125876,39.625679508811295,40.50785953590257,45.85192518681465,47.24183593868666,50.262070605564,49.641546174198794,49.94347091945531,52.34872524716146,50.27278933375441,55.17169406500774,54.52126520056137,49.2568604901544,52.01552612162679,56.26342746608753,52.83634623814507,51.0712741066214,54.81099195256496,55.98370824764271,52.114442346581306,51.688163598889425,47.17393083937797,48.057454460806944,50.026423771755255,46.982670799508384,47.961985955623206,47.55929797015553,45.35173532698973,43.525028472591764,43.024713513461634,41.545748896957726,38.30357532270352,37.72458555926468,36.346400800573626,33.26465187099934,32.641770583474205,35.97723446283164,33.54566557574772,29.264528062591552,32.98048975144583,36.14190734330733,37.67677763795968,40.927677185706415,41.47505718345433,45.747228280586775,43.77682459481735,40.233989385039294,44.76536732392678,46.38774163228973,43.593673905340445,44.319682927230104,49.768365991410334,48.64452235828931,44.90932059528419,48.39033010717614,52.32009078537499,50.60364580665126,47.544353948347286,43.2196109242642,47.14176168042162,43.571196633200884,41.84124750243734,37.54372323354965,36.543765246416534,31.856054470794792,33.81285039614636,36.56783091625215,40.33138200461187,41.26501506109853,40.834786748122575,37.56052770069396,39.85196060194879,36.090616045906565,32.80431863883385,34.1115064754292,33.78826750408365,31.351938045934087,30.123662866495057,29.074255803377003,27.10589375161997,25.70691527321041,24.339692147498916,24.832389458559888,22.641454607639556,23.312719314394702,25.04639302289539,25.432653991769186],[23.657618406655526,26.72252436411417,30.931558014310323,30.20767101938228,34.93614769248216,29.55114876838125,31.487285606709385,31.75061323506089,29.07744495454955,32.21853429957167,31.685375311524563,32.20977686717074,36.48252117069788,34.49695253385557,37.079135951305645,39.54018519554567,41.06259841624975,44.6636180640329,48.10986999843851,50.96778002505271,54.26434604792444,58.495793836190295,59.55343150771398,59.75457237470281,57.27063551748406,52.86516580912753,51.110718158965454,46.87702479112946,45.84358854585043,44.02800749134427,43.856167449952515,43.41502222530254,44.38206740682711,48.718681863913794,48.74036731832826,48.874936078492546,48.310690305074736,51.34604191749703,52.44016252425565,58.23305901043947,56.30816457030431,56.15597062242292,60.331815600474826,61.87270675357292,63.31099683216715,62.95466011604892,67.13258700150561,66.55248462779157,62.48896549447853,66.98765630706133,68.71060556839006,67.1816072749089,68.75428017134537,63.531958924867176,65.47569686962431,69.12170800628185,65.63729122615548,62.95867315168542,67.50384317874698,69.04644203955884,64.1589286200561,63.33352394561888,60.12124541726508,62.341640487459806,61.65743097383727,57.68980551603266,54.106536557573804,50.16418201156165,47.710156631237886,43.724038454673476,43.44819647856949,43.913359257074625,45.39298013768503,50.14897567822303,48.968575431243615,54.22074281828974,55.18239166498931,56.35526162567661,56.99846788409343,59.371049595792485,57.630268397922464,58.96465777159137,55.67637847288157,57.9824965262566,56.01731630128692,53.41316652059277,54.978014641330304,53.48655341325832,53.18017692948798,53.30789462910042,50.60713435164986,51.533399113236285,47.46368156673048,44.75711299670915,41.1088293632139,38.98753451123512,36.03013666608213,38.81654404936898,36.69728280818442,35.92846023997261,41.36070253598455,41.226784169852074,45.368883971261184,44.519442438022864,49.79421383439365,45.69464821139126,47.82456463752682,48.856682393949804,44.92651857336769,42.89870777258886,39.424733594885275,40.73104981208788,36.693526938662814,39.40114271995424,38.50002098042328,40.24579988716392,42.53037981353479,44.52591914898474,46.86295684784434,43.49620808119884,41.00685060994878,38.13830943082746,38.37452049265883,36.7158626157837,34.498347848853264,38.67116649759059,36.29074146660503,40.791212129970134,43.065277570132395,46.892692769394145,48.091429002224224,51.493672911005426,53.44948419358168,52.576161936615286,50.60853058222283,46.618735891538456,45.84919710138239,45.17016573984452,44.06637668303164,45.49998326177567,47.42228036981738,51.5908126937569,49.67819137587209,47.66683295617171,50.02830918275424,46.913339277446504,44.40155312417147,42.07939182416712,41.2164690944885,36.883735441524856,36.91037559738599,32.9050789554625,35.0977941351687,30.033729856019367,31.947312548846988,35.87684310392815,36.68182591499462,39.052503459805955,41.018098305423656,43.17422726641928,45.660165911677524,47.74395687540981,48.628777067746924,52.25012211750201,54.36701882855692,53.37447139613084,55.27832800687368,57.487276738957576,54.976009047125494,51.48152704888801,51.29922015897833,49.1903367025556,51.448056110796465,51.16235874124095,50.71893779229273,49.97104407107785,47.43129814340089,51.81149851435717,53.62048971549633,54.44818147045988,55.1088357542453,50.52950396562841,55.94869238028689,59.11821452734078,56.96650911975386,59.74853876138037,58.21876332560333,63.198195292956676,62.27810828019221,63.5268032231425,64.46454213543089,60.707483778277336,60.11946071376836,57.59031854735926,57.44625845901865,57.358876017596124,52.65994314132682,52.494762491297955,49.24511401499302,46.56859304882712,47.51967766893225,44.25273585901146,42.082766339954944,43.31866796044588,43.226271437354946,38.714319223965845,38.57833542235346,40.37116721895847,38.40400986715482,34.15924907798039,35.388288639152506,35.551276170063,31.48059220350546,30.67900508469372,33.534731080348216,36.23452604549563,37.71470125732349,42.92373393561715,42.59215299006448,43.33285232641812,48.73182227387443,49.804952040696314,53.077070802207295,52.7069245579428,53.25188518393821,55.79006019253266,53.94579983463167,58.82660058579937,57.9962187364281,52.87387571429095,55.79475650342252,59.92638876698036,56.41049377658432,54.82223021651031,58.668258212323394,59.611045878909614,55.69602079363518,55.56221017073577,50.971490109270235,52.105115503322104,54.0052565499066,50.86263284032489,51.95014116352276,51.3786739324617,49.38683539391026,47.57960554250347,46.80300824848184,45.36904297130407,42.3023355602421,41.50666825269222,39.97096404017901,36.94580221851896,36.26208691359864,39.31729875051726,36.77434892867353,32.53364577307709,36.04602852337674,39.051540039593526,40.72033593120491,44.12621522683559,44.962208573662714,49.142931201270265,46.890349444325544,43.56779554624052,48.24577146864063,49.61024157029055,46.7619740915115,47.77187169825118,53.09395034979519,51.70409352900651,48.11819153221244,51.82012770086686,55.54988048022472,53.60790145102338,50.61454681252775,46.27679746553463,49.93260236001421,46.256594120694245,44.42841298710253,40.32831199127639,39.64500770621622,35.09549911362897,36.80446335660754,39.75295909126258,43.43255981357366,44.632918000316636,44.35313024223331,41.342501181045165,43.83098168816294,40.162833885746316,36.80551642802513,38.28798332821081,37.840854114849414,35.595574437315996,34.33415056847153,33.01495267529982,31.115145789378015,29.995342111722596,28.31249641546901,28.530491923636003,26.246661476298655,26.761392797055155,28.327555843483903,28.46354354854564],[21.24244467272328,24.53846172939765,28.95892076849641,28.85792186491348,33.74968095995178,28.640818508129176,31.059290714258974,31.44559733391604,29.34420347539154,32.87208701912956,32.740951984043235,33.13043477220267,37.30123019602662,35.64628069231804,38.51689287826609,40.75249905697388,42.144059512059776,46.01482160253007,49.53880456908993,52.2161597619751,55.66664031592629,59.75800723446546,60.941579163693255,61.02223959174025,58.35802807692454,54.02698780746254,52.037132106387176,47.78502123339304,46.86234924394952,44.9442264334254,45.377815872404476,44.50338939959193,45.73894142762129,50.22544292277541,49.95970167217156,50.07868335518837,49.147344515483724,52.19588463037252,53.093984218091634,58.707667817998605,56.88253130561499,57.093083844737926,61.252186237350685,62.67279498617921,64.12241241206739,63.518993266117604,67.73135903636248,67.2486050307035,62.95257925772019,67.2775600769241,69.13507663329271,67.49307458236879,69.26124777561523,64.04095838026392,66.10612739013625,69.90777167603947,66.53322177270546,63.94327452267768,68.5626296834392,70.11973400750482,65.39048914712538,64.81940014278412,61.72511613808728,64.06947385145571,63.16042915363331,59.0877016808162,55.771330952078,51.79708406931006,49.48629862617179,45.58066299123793,45.37776482952469,46.15414155887306,47.558421328686,52.23156286464236,50.86754931464502,56.24084224554064,56.843194896650424,58.05975610560048,58.42340614033927,60.59901434704529,58.55923221994312,59.6261850047435,56.12186612519233,58.20638502744038,56.280313826129536,53.92797197234939,55.83373347213986,54.38122239556981,54.42514562436707,54.758446430010096,52.272812578310045,53.52773189166616,49.429778545006684,46.58510928540986,42.771263160877155,40.932554844829376,37.79027030961823,40.183306728794534,37.74138513801519,36.62840025740637,42.06113509199483,41.317773757304316,45.646325031459206,44.2544773574328,49.32229075737595,44.99925302908643,46.75188075344315,47.66079516907336,43.60176136169786,41.82217116905894,38.399582456996434,40.19057426209873,36.41323549613211,39.31689780425328,38.9310850172529,40.703878075709106,43.313982521052154,45.28594783916822,48.0980341137777,44.757156062441844,42.25086748863772,39.19654185638784,39.111538813480415,37.16248759013551,34.61994299159439,38.38034757652296,35.545872582944924,40.04885153230152,42.04024842615187,46.010327394914256,46.885307180053786,50.19511888148664,52.3947792966598,51.7005330821274,49.815835639544915,46.01461023243715,44.93012187398382,44.71229302993886,43.88604902791461,45.54347916204896,47.76211207898777,52.08082909147084,50.32059761725526,48.10026866431061,50.51670511083885,47.49862860241731,44.836190088328536,42.4464587056732,41.25951700575086,36.929343981575315,36.55386650090539,32.81265488633073,34.777759950065644,29.84437686538416,32.300724732431114,36.107249980953206,37.04278219360075,38.991151870155825,41.332693185931504,42.96205632927337,45.53829000440428,48.042542910134806,48.76955108634874,52.45477658008934,54.28626422401247,53.273084364782676,54.83509291139806,57.01140706802689,54.25333154081407,50.9469640505045,50.68207614192785,48.86266474312647,51.18057072484066,50.96592440328982,50.70089448609062,49.90561584187933,47.71814616887645,51.97221301276417,53.753335976600184,54.32000342286395,54.91027477621454,50.05507772613596,55.34028289316433,58.49775263793632,56.49391134768117,59.62478504502321,58.40134883049885,63.26949894311709,62.39145762639243,63.34360824912507,64.0607305095434,60.28640294725302,59.391657575064606,56.68996511692934,56.332974762263305,55.96997664444824,51.25472532548916,50.862631468097824,47.40477724209223,44.845408260877484,45.398327169087906,42.23214627110763,40.25259688384753,41.12935773315631,40.80527216224456,36.46400927838799,36.34812687507942,37.76445498902777,35.69246517473128,31.639832999029824,32.640582959429885,32.5159578065445,28.614834462340276,27.90118055702783,30.373191351539663,33.254830620017124,34.380629358206434,39.87543085269787,39.60092743527982,40.11329651235786,45.50954499614209,46.33507917391433,49.75325852199654,49.53658731769606,50.30428519166506,52.95787662806402,51.385860685704166,56.23646619109845,55.22366124890443,50.31244526972409,53.413862412881585,57.42458946557981,53.885092374478795,52.53173364053235,56.50740124762476,57.26040350292296,53.377294673970944,53.64836726115918,48.859888293497804,50.241217771007165,51.947218698920324,48.61289115056687,49.861566167470116,49.063582759126334,47.431887166790766,45.631099719449374,44.423087302706676,43.13513041015556,40.30366322050982,39.1482410952136,37.4674614253701,34.549533007762385,33.728293446275394,36.463382458611825,33.878491509731575,29.663732337666772,32.94399933287266,35.811085438006025,37.572310264514066,41.09586902472201,42.21661829950784,46.281844699348085,43.7794749666681,40.718716740582806,45.51601431265006,46.646356459374225,43.81167336753148,45.15126097714121,50.28017633965545,48.74402528643859,45.411420498079735,49.298753775699865,52.78740090259943,50.76896616128921,47.942932694021415,43.72147962567952,47.266582345679396,43.685639466107666,41.555110823537575,37.7461893753051,37.07631612009469,32.734190586676135,34.56711045031087,37.598184100249796,41.23204249680773,42.57905094633796,42.15451720613238,39.560884952108104,42.159221924543196,38.83507313670219,35.142400956756184,36.700024165090994,35.946902067781195,34.13025797746768,32.892436099294414,31.022763810382184,29.200043221259865,28.745753689369472,26.5689393217907,26.207711220417707,23.853888567982118,24.247167648913656,25.713082419551686,25.756027216000156],[22.82798841125452,26.295012813309807,30.66488173540582,31.343463352852645,36.02383165647799,30.79857079313874,33.38529384575014,33.37394974152097,31.697660470698068,35.538581410829345,35.3524171957878,35.260963451860874,39.735871149251075,38.5157185199633,41.15473113276236,43.19556560942921,44.88761502418773,48.812976227253515,52.61283361892841,55.044438900144904,58.64389806685587,62.61844831523785,63.994333881341994,64.20267851995419,61.387415646368886,57.1333853472284,54.9460428642517,50.6615712897673,49.50764116883476,47.27721625678067,47.79809796523353,46.507830733716226,47.57907652854079,52.18671479069187,52.00099711945707,52.42227422848197,51.218329005761134,54.63411304880818,55.608301152998024,61.01737099200783,59.56130892182223,59.83357633567435,63.86438552662007,65.4096898986454,67.04333599488898,66.41728474342843,70.62895642251803,69.99453302966552,65.5554644638274,69.86713572334212,71.5740316621611,69.75286068916098,71.50208633952039,66.34093262301133,68.16535386234033,72.15209650084374,68.99381359161852,66.22598268426995,70.79134387938757,72.61326836047664,67.98073439877726,67.34579528095949,64.19666837656217,66.79442459179282,65.92428518480686,61.743117517217996,58.70000871594199,54.59497003763139,52.582237533085056,48.57786946500232,48.60136933654017,49.46695164090318,50.58294738778836,55.261223505653824,53.58905092424532,58.819083303421685,59.343128340579064,60.29628582397395,60.63147476448992,62.82980601151545,60.553787715160844,61.675973264699564,57.89764384743948,60.05234063782774,58.391346516204244,56.01772568670431,58.12528305950621,56.36976551528873,56.76530865267858,56.81450730715759,54.58217415944555,55.86546217285642,51.73873100270788,48.70724305513109,45.03134247678842,43.19003512110642,40.21824963447434,42.10961500479953,39.552185087745336,37.84074831830162,43.5758291025214,42.469269952829826,47.14044815849341,45.52138492721486,50.656053597584794,46.37836693953766,47.79939693639515,48.907786978717745,44.9124876963523,43.068153370364094,39.94559838760006,42.117831524751715,38.57592154418619,41.80147513867947,41.66666985657613,43.69692079431942,46.33727795980948,48.52201633041283,51.396534406520736,47.856086334955556,45.52730657282024,42.37662947806573,42.439432291613755,40.27178404832059,37.479089949348264,41.03443086455921,37.701782706688334,42.17716990699423,43.88306455639255,47.72114473633541,48.660358924928964,51.69807461083365,54.202447233179086,53.34630853226958,51.865952740004865,48.25695102893442,47.25482000876824,47.38915312791017,46.853733316460314,48.43611604767431,51.00638385892058,55.291258366160775,53.41037456125899,51.02289981023648,53.28919456902293,50.11858449163013,47.49771031029282,44.84781433294283,43.38417187345816,39.004326854807296,38.14596441198277,34.34025727920059,35.68958901917301,30.535633203474102,33.367448903718184,37.29628604449922,38.68160033261061,40.436457434154406,43.161930948466285,44.681072004319844,47.670744046320195,50.31931789393103,51.34017725720189,54.85471314608637,56.777499066860344,56.01876718072346,57.338931999479975,59.67715972363327,56.80443752367004,53.625654315248624,53.14404200614075,51.41477375764957,53.48686252268723,53.0789090911252,52.69800682255986,51.60708883497513,49.574911867961106,53.50614756329162,55.58876256885291,55.960380459529404,56.8631690315652,51.77718730477073,57.08005572666412,60.330807805482344,58.54881113974738,61.83911031981695,60.78519920479596,65.64052793396172,65.07902361075118,65.78984826821353,66.47081090017345,62.58413664715443,61.58109098548477,58.77300165982179,58.214793211640156,57.68656881830566,53.03902957628707,52.31840785548213,48.79323441240695,46.09149034441187,46.26214620654633,42.95946965925902,41.37760550070059,42.20453191026607,41.403578846347365,37.2449774695005,37.67693507725197,38.56630636674734,35.948212156132506,32.53756005775322,33.539442821526535,32.87882170107993,29.06930657786198,28.962708443266546,31.042381630478843,34.18060272795752,34.592652594722736,40.724880381044265,40.2341435337708,40.282674850351015,45.5565893157663,45.99308549687422,49.50538822240658,49.15463134805052,50.17285004816297,52.75980335237051,51.38186571762401,56.27310261668828,55.31526228418443,50.72460497581371,53.84768111510955,57.91969488767514,54.57635324585438,53.38276964687855,57.38492710913699,58.26345390019771,54.53694315587598,55.01290286210715,50.01539151333087,51.21924820762732,52.63074409002006,48.976485278191404,50.071937143530654,48.8085313991126,47.47242559999998,45.96648642389063,44.31613423979654,42.79380665351631,40.43184269045041,39.25051724966639,37.06651673381889,34.21429883167335,33.76083332419021,35.98829519330427,33.08694322828993,29.253073953097385,32.569408167099155,35.0550956700837,37.194853478879985,40.626833509956924,42.03852031419192,46.02622777085839,43.48239267606516,40.939476903767144,45.72818406679553,46.80938135220865,44.1752934457917,45.866186216970426,50.729551001167145,49.306692625508404,46.36415755146286,50.30265794628341,53.57211905509052,51.69849357965115,49.134097497367094,45.14222311769021,48.70808969381037,45.36084302678427,42.82330417858799,39.37733377181854,38.45600577758954,34.33385809461781,36.55780846776406,39.5324734811315,43.155761968953335,44.46108692192927,43.648125322962606,41.329209953655706,43.73056765926562,40.72196878562718,36.68876349401008,37.78523837704758,36.59739259964596,34.875577997003184,34.1820856656223,31.95829109016928,29.748189568407632,30.021070272418253,28.033565436569305,26.87405330550651,24.137857715148094,24.323710676659392,25.719328443850088,25.772129323366233],[21.016552828260846,24.57452137724661,28.960890567936087,30.315468039879583,34.959550297583114,30.05842089584108,33.011688506886756,33.05321327138663,31.961454980085588,36.081587800794075,36.239171047770355,35.999872311657384,40.32783804714909,39.454067206951194,42.290286907694615,44.091229937835465,45.670720456501314,49.80067605453369,53.668122765248846,55.892712657461125,59.62225301737703,63.433923026666015,64.93849400446251,65.05552474471234,62.07510530939589,57.924213189946265,55.52018535621148,51.24828618828065,50.17745543972043,47.85153561352733,48.924446588585845,47.22989293974544,48.536349008517135,53.244740372399775,52.792645179730364,53.21066214859598,51.66332437756983,55.08800438842269,55.88689091916996,61.07558458809393,59.75909028707367,60.36098026571865,64.33743607731925,65.78004676007926,67.44146048900487,66.5930095492388,70.81688291897515,70.24986034718803,65.598718966466,69.7355041105385,71.53471432837758,69.59864113896589,71.51946670458929,66.39522334309096,68.2978910050518,72.41980446237477,69.39903287326487,66.71492761126399,71.31938526687789,73.16369163479062,68.71187906324033,68.31244745222433,65.28764559098192,68.00715621655192,66.93340355758558,62.66727270169584,59.91117701900455,55.792186045417075,53.950938389530585,50.03897154530626,50.149340840185324,51.29937816724883,52.31202265567958,56.887288896658006,55.033829198548695,60.341065296627136,60.51568504936248,61.49339112032632,61.55953748622427,63.560438469716836,61.00620857722263,61.87770405489189,57.909288350633325,59.850242138632744,58.258014422272495,56.128136359359516,58.54679885631515,56.821123740984774,57.557944152277976,57.78664532402968,55.781719330462785,57.370955387636876,53.24522786739331,50.10279253665336,46.30883140524904,44.7492170453018,41.64465090436405,43.13948854124519,40.317809449930344,38.3062780811415,43.957397476529515,42.284241234822225,47.081905573961414,44.968775963067955,49.85788296315779,45.4306616163409,46.46132115106879,47.46884670395002,43.41563690040728,41.80690177353986,38.81355902178446,41.426147919366215,38.197502437995226,41.584182868487915,41.92699308002672,43.993267018839795,46.880970538885045,49.0574538468721,52.32111185715875,48.806200850827004,46.512352728057444,43.22367738698551,43.04313928707673,40.62435464242615,37.56557856394716,40.68523942697542,36.94167259237534,41.340876837041,42.736538147691576,46.629896900303685,47.29213653005024,50.17739977178487,52.91167565778104,52.19421807499664,50.85662823897378,47.47703377807368,46.24204831250063,46.82261555476994,46.584214336574945,48.31165365050265,51.17148972280524,55.535455666022735,53.773963317744084,51.20244841150122,53.47122365952844,50.394944569208725,47.674886797216566,44.96649972746639,43.20838949975202,38.893051007553225,37.646102010298286,34.15089179279674,35.228364929325664,30.31195234868084,33.59498347301458,37.32952018686163,38.827683738455256,40.15526407739052,43.20729645915917,44.22064410123558,47.296689083424475,50.303357024063196,51.21194004736566,54.72681052375645,56.40014054935657,55.67159018414217,56.65266053639427,58.97898863919418,55.90429998281904,52.9313218579477,52.34198242552618,50.88555661698744,52.94858774822532,52.58051214025471,52.34830807924441,51.19904602576596,49.51956171496404,53.27584350511818,55.334861868902195,55.45111657746534,56.31214136676832,51.00189841455164,56.14070614268954,59.367551438657486,57.756376877781655,61.349011566293484,60.593245111667535,65.31632281245626,64.84174378454328,65.25423700092166,65.73654557867101,61.84092619126603,60.568398803056894,57.61937030437959,56.85395532925186,56.074325434044404,51.4680972741867,50.5048713737062,46.8298915796714,44.23015426112088,43.999893920409924,40.799718730804,39.46433332924744,39.97092111112417,38.900418435548055,34.97461422749171,35.530528983510585,35.9886727463705,33.21166464382516,30.150279925610537,30.955337687539334,29.948195435997324,26.36777694399739,26.50132334956389,28.14285172748663,31.430833300850466,31.388290022872496,37.82839442383215,37.311712483000484,37.083095669821546,42.28801456331581,42.47312483980827,46.08188382077857,45.822207008024755,47.04520061337066,49.702123280823066,48.58357122505406,53.42532263918139,52.33073270775098,47.987763393364034,51.24018085739467,55.19918041084155,51.89062164843972,50.91889960062516,55.0024928837788,55.74868058485794,52.10410073123308,52.93309734052882,47.7771422749509,49.145840496751134,50.33638843416964,46.507023346882384,47.717304664181576,46.21887058697516,45.24663479918648,43.788947975021685,41.721710023338936,40.32672334592823,38.251068641263196,36.755057894136684,34.410351560749916,31.706990937041066,31.178402532590543,33.01544965482345,30.074957286411138,26.377028608955257,29.43547142339865,31.713690373433757,33.96797886652874,37.45232439505415,39.13364453541037,42.979070612735846,40.24472737094287,38.02246638672595,42.860966010475096,43.74072097251879,41.178574516979765,43.17826921046149,47.8026142057923,46.31136604367762,43.6656302861759,47.715993120435535,50.736617172049854,48.86454108903917,46.50352026117216,42.6941167774699,46.174724671264244,43.00314958686983,40.16244584841861,37.05825504570571,36.0638801002852,32.22259902672294,34.62881988180632,37.58866155583667,41.13151797745043,42.502594040192484,41.48450775215283,39.58286961575482,41.99826699425485,39.374697570328735,35.068568065006666,36.13260241716385,34.632601537187014,33.349421539133196,32.75636280677923,30.042462070156493,27.898087881781137,28.868974285757698,26.541820024137234,24.75486401718212,22.00514857031513,22.03828275611073,23.338108579298382,23.34928366837014],[24.38418055650727,27.956959944890226,32.46612367587742,33.7114540586338,38.55183592569955,33.819902194992274,36.78924564670206,36.94915428999869,35.72419183802203,39.73711907250155,39.83145629973724,39.70252695273911,44.03976198390616,42.9774540488705,45.81041128077431,47.72668360591692,49.28167249607956,53.3494084394607,57.12139073118524,59.47957498358364,63.135773808982634,67.02782730500509,68.43997819241943,68.52344536087877,65.63315521676653,61.42971034297596,59.13292861839351,54.865019568805074,53.84535817489233,51.59769294840438,52.48659999635247,50.95911684368941,52.176441675903156,56.85054583144148,56.50236734935652,56.902836687771355,55.4729143370575,58.850858118130354,59.65939128591808,64.92241446561995,63.493010881965546,64.04287018279548,68.06705502973146,69.48950221790233,71.08122280413859,70.24860550638451,74.47295859974024,73.96744794547001,69.37246527295409,73.51210809720259,75.36299506922134,73.47560484342422,75.39082181034878,70.24913786158534,72.17874502233674,76.25971037867929,73.17838241245202,70.50345272296863,75.10666313904042,76.91096559308241,72.3955489481607,71.93625295767563,68.87165306470509,71.51090023306243,70.501099493898,66.28029412218014,63.36726463756129,59.27875913081902,57.294863928529146,53.36859211082772,53.37390100716699,54.35767039347846,55.509534594892024,60.140341904123616,58.43012513599637,63.71880159350284,64.06092322586306,65.04416860135532,65.2203097997567,67.28857837024967,64.82408101640802,65.74594246359604,61.82737099535793,63.78885354774647,62.15239120135318,60.00279209972022,62.34368600092425,60.637745032752896,61.252869751906395,61.43141986471317,59.32630007418968,60.76902513613448,56.641361274194544,53.55297640656216,49.812999681513304,48.11097236762813,45.0648958464492,46.749867909049385,44.026237425423496,42.07438929254452,47.781785486958256,46.220866071995125,51.010329520193615,48.9551168205545,53.84787376327125,49.40384772506517,50.413235860617995,51.37107903088141,47.280633637527075,45.74715966693233,42.71951299109187,45.31923204170717,42.04896197167183,45.346958355313774,45.60294894240726,47.560744264045084,50.4343281289911,52.50724212206462,55.7064485631165,52.26911903637249,49.88562618004869,46.659819968968684,46.419161146606505,44.12288619584049,41.17156574546682,44.34212075870875,40.7308552658258,45.13459698860183,46.551472487016476,50.51316952070207,51.05521312414849,53.98301441850702,56.70483507500667,56.08631094238383,54.65163464033134,51.25206281226534,49.87852486301532,50.42266816773632,50.07694052161562,51.90247442531007,54.5890472205974,58.99948739333937,57.317736258549175,54.82169937704772,57.16278867652784,54.131040646425284,51.39909640487276,48.767153247167734,47.085009278547716,42.76868892039949,41.605487932944634,38.0882009264662,39.1897243808686,34.20216702804505,37.4211969314662,41.22232226820209,42.71054461121018,44.11241496809918,47.105303004756585,48.17329524384072,51.17480018611053,54.15048599707031,54.970239421249495,58.54971994334971,60.17050050982058,59.320762697985366,60.34641710201749,62.56969167338604,59.46996021434707,56.49674801259552,56.006052320751515,54.58585527996565,56.763525675489795,56.46316987549893,56.26496898239034,55.15818792602445,53.43541439078172,57.23049127631394,59.274791929540825,59.41955513216854,60.23244066260326,54.94519146872966,60.061124884143446,63.2617027251698,61.61876031496414,65.21245232187091,64.42673777772346,69.1487703163467,68.55734959161258,69.02856883671296,69.47699553859522,65.62900735560629,64.31422736217085,61.353748743400566,60.58900352646995,59.74948873938958,55.118324847724075,54.17205588276855,50.4188544986138,47.94647550564543,47.597381523823614,44.50439555911393,43.18921845103673,43.48842656267214,42.3988758783632,38.58619857628713,38.95168709241465,39.297426478822466,36.61958467530734,33.58641335134856,34.14506105246585,33.04528098219115,29.70141928986623,29.653536809821276,30.928100896387107,34.26377064460129,34.06443562878962,40.47329386963333,40.21543113956958,39.87212603287425,45.04834492793675,44.93238971462876,48.73744903030576,48.7170322385471,50.14419908039624,52.89569269346816,51.99024260130246,56.77607023465003,55.52793389849693,51.34135785783554,54.70751415366974,58.53548315763767,55.17094102326543,54.35452708258267,58.50394420999669,59.04762259009974,55.38341937324753,56.448514888526624,51.264802957876675,52.83291109315165,53.972324898317375,50.097415883975295,51.39140062556004,49.7795610776842,48.983142287950045,47.54205977514172,45.28991173021662,43.956030237977714,42.022127653912875,40.3778970031819,37.963799041192765,35.34988789073675,34.76563288464052,36.36045991360734,33.4024609488526,29.82218684134746,32.61965903641383,34.71291814380642,37.02810131623781,40.589611226734014,42.48981509274944,46.206182036874026,43.25577884494586,41.24847398641138,46.151602176435816,46.79470647714972,44.21190222586916,46.42675808323266,50.90098628039543,49.18534952890432,46.69395235581282,50.89684450456105,53.72206798640877,51.66389876990976,49.38185694839687,45.59495618196437,48.81112839517357,45.58055549695578,42.68406144856504,39.78693407137268,39.07869777904211,35.39007852299063,37.54649744695595,40.63100255089036,44.07426793724131,45.65339653938937,44.77854447266262,43.083360768900405,45.64266723082175,43.07651611739555,38.772236259519886,39.987181034283104,38.44896107827433,37.28461330334226,36.635460851806215,33.81180664707949,31.77191997566449,32.809951839652534,30.308951367284454,28.474233962356717,25.741645456165006,25.65672373271342,26.740959821287507,26.54591888688896],[23.400245063141718,26.85967367197678,31.471603637668327,31.841199211719225,36.92247174222317,32.1773958067194,34.90951526688188,35.39376251455072,33.619688773019114,37.28442021777948,37.30950696288186,37.631789064966554,41.772539043764795,40.218487923968084,43.1782459605765,45.34738108061098,46.68551614846056,50.632370034061836,54.13560121263619,56.785853480969,60.26188919115329,64.31672642982572,65.50866643705102,65.50925273675529,62.816981650439196,58.507944964244615,56.46458434164834,52.22130517665919,51.3754683485627,49.430307604819056,50.042510169217216,49.01581655345794,50.28397460670947,54.82247726231169,54.50785546861968,54.65243016294226,53.580521835672,56.642058538653714,57.4463162576044,62.97132424019021,61.16402946849006,61.54271005387926,65.70208162750609,67.05039511293106,68.46540962445742,67.7316269253709,71.95189634097302,71.56188128123627,67.17049685694663,71.38402644506682,73.34001429947982,71.65170298615024,73.52458131001626,68.31253527962049,70.42858093684653,74.30090022587018,70.97552011852306,68.42534079687968,73.06363000687013,74.62637416287787,69.95702045477438,69.46503150598923,66.40005566568776,68.77007397816124,67.80354856068877,63.710796238913346,60.44931537201012,56.48272390288201,54.173689721257816,50.30237301998361,50.07632419680716,50.86922068884569,52.31414408846146,56.97657121343795,55.605951925270915,60.98820942273181,61.53323138112224,62.733498929389064,63.03819440310126,65.16280281072768,63.004960834081736,63.972476012569004,60.35433076718248,62.33617897743523,60.44148410363998,58.22099073002404,60.27609118487653,58.81899550787546,59.00602679116287,59.35992867291569,56.95088540532072,58.25058542331428,54.14626004195554,51.25684745792556,47.44570267645867,45.63704237767614,42.49976115084689,44.75188183447574,42.21772675446016,40.861339120910706,46.36808408862603,45.31163209916687,49.782552631611054,48.08954271295273,53.02846297236357,48.57973367070288,50.01429789102563,50.8352709664998,46.68898604572171,45.1271522909291,41.78071552838156,43.91873284470667,40.33228685845612,43.306376921060135,43.18769942815766,44.904956952539,47.67313932262244,49.55599343704194,52.566159167823834,49.30143108144183,46.748515201114095,43.6587028694294,43.361871974983316,41.3446100811617,38.69661532040373,42.1872677720677,39.13282633328299,43.60235607167488,45.3732561407705,49.44982139241192,50.0239190452496,53.25566798511077,55.63878016376311,55.11869384201285,53.27199111888091,49.617931131756116,48.234967535527495,48.323213176902655,47.61724467538152,49.47494571774716,51.746783628088124,56.16671608468958,54.557995944873156,52.274359505485315,54.75135168351519,51.821959266570985,49.084756819474606,46.69627626611697,45.349455834806776,41.043280994619266,40.41504785211657,36.83042311597331,38.54378311175226,33.61251928647622,36.390923390355766,40.18133112252628,41.26355845600267,42.98229266366656,45.54619027197265,46.88579872993014,49.50836120985598,52.24213854697391,52.84151283657352,56.5774928144865,58.199667613182996,57.10748412049712,58.46491845891688,60.54540191389693,57.608027178888584,54.44858629685838,54.19039032370201,52.601452092123054,55.00783659500586,54.86600741565785,54.718882139286215,53.88719715332699,51.90226927466617,56.045841657576965,57.8416721837634,58.24663429462248,58.80108684629073,53.781627562915084,58.95026291291584,62.08265800967869,60.180722213751785,63.53606702308609,62.49654097795206,67.2808671195615,66.37056803869095,67.16342101149971,67.7113081047076,63.961280509647416,62.83126764030407,60.006297648615714,59.48826929716689,58.87441664389199,54.15186966054992,53.578237482657094,49.91766169618417,47.52998347796025,47.65095565542126,44.62765087739735,42.87039888297284,43.31545968356184,42.73480407139787,38.65223602959662,38.4860925484996,39.44571723719828,37.288814610972445,33.53210723627471,34.15325366509228,33.64030430018937,30.092784520864832,29.414786337334853,31.19640931732502,34.28945061943408,34.89698720495859,40.67170081849836,40.628907953345696,40.80273672330443,46.154965462268024,46.487163124594254,50.19143380869581,50.26475072566156,51.40149100217554,54.20474181657023,53.02915927438547,57.81803802638459,56.55999015501335,51.9787797777973,55.299231833903036,59.12544072526331,55.55408634389494,54.51808352835775,58.63413564881226,59.104945226842275,55.25562643477965,56.02934002501139,51.06486826404874,52.74804487256114,54.23176309295528,50.683329016661546,52.08164690845918,50.956358788821504,49.764538293937115,48.038103490594025,46.30804109121808,45.1252011691962,42.66199170472427,41.137093501091776,39.20196015772121,36.446924119568344,35.5597804503006,37.764324282959294,35.068088563373806,31.044874005559056,33.94822327020673,36.49003135172294,38.44459424686604,42.104138303262275,43.661177757486016,47.52454218446988,44.657984376427244,42.052813429580056,46.98394255157007,47.74216339344587,44.93290273654966,46.74252487730589,51.56204339971561,49.74951668297661,46.78974569525784,50.93761860594791,54.05257326584484,51.84430466525899,49.24423224505635,45.16469415810846,48.392496060681495,44.865479519244374,42.425220180964295,39.07084143779774,38.62816743189506,34.626794981689144,36.37386149125237,39.54657018828253,43.0387546818781,44.65787802512769,44.20523573777202,42.13115322340468,44.881157956438365,41.90343543273906,37.95684751785094,39.59844751509523,38.5292147496502,37.12815041959957,35.97151644030637,33.58111528436268,31.829624730850174,32.03990409230896,29.4482918757793,28.469302186889383,26.005410962868943,26.145411181002345,27.34481639018216,27.108404220832476],[19.159977135450358,22.66618682208089,27.356726277105093,28.206216578233303,33.372730642697924,29.161272321423656,32.30779501327694,33.09781895310755,31.90126857187408,35.78159319066577,36.32190241103712,36.69164519406027,40.45468032386589,39.16590475670089,42.52095542091902,44.44920013682625,45.46726753019272,49.67216934636936,53.127633350870404,55.60399207218475,59.18589328775874,63.064706780682066,64.3399198479587,64.14610165047695,61.29634197868371,57.100082210061124,54.848740585039785,50.64751341963666,50.04310388509865,48.13451851157299,49.47938693006993,48.110046353144085,49.800557224738526,54.41193624770672,53.675969328751556,53.64781411458066,52.245757617851694,55.1135481520196,55.628830725707914,60.95242236158003,59.13728391989902,59.946632923313,64.09651126987585,65.23409435849986,66.58427388608177,65.55141202232748,69.78227854501803,69.57471578608657,64.9751495176056,68.94645720059947,71.11877681049594,69.36053447320579,71.48328646523213,66.2903030490751,68.65547044061431,72.61007140139759,69.35879992350515,67.02598619490146,71.74729187698588,73.19372945881423,68.72786361531047,68.60582175575433,65.75018279715741,68.15475553210501,66.87650835683043,62.72345944725284,59.73259335162342,55.816531716495724,53.606613820667036,49.923005397498635,49.71476909749627,50.884751943793994,52.3125923738937,56.813302194696625,55.336573778952356,60.902402715150146,60.9862823876251,62.365083339442556,62.30243216498005,64.13390768521737,61.718120709838004,62.303070814181496,58.5802359564665,60.22348522537367,58.27310475186089,56.40446012774011,58.778450865007855,57.53633320865019,58.0066094653903,58.77306599407025,56.54844759758616,58.27095379214738,54.18447916230959,51.23819069310947,47.185540345533845,45.782083329932796,42.36750660818635,44.325055853417,41.48659764239309,40.05978354958467,45.2704866141414,43.652816821271834,48.08617927055899,45.85302341796164,50.411130983458776,45.73246285812145,46.840380264918345,47.39961939404243,43.13378887956507,41.935672717020985,38.58509920479432,41.09659577427636,37.81120537541139,40.82193239375901,41.234803840790725,42.86335638109345,45.96626080499304,47.72933057335762,51.26155387463815,48.13522454236572,45.54761172783418,42.313578780701775,41.59514866304047,39.33316527393434,36.44181599408086,39.42144362271914,36.083298929457015,40.45859851358775,41.96837066572481,46.20122667529659,46.354983485160005,49.54375409720371,52.05492488517398,51.82288328131656,49.93130727487864,46.482563651644845,44.73123179871877,45.239560289975344,44.78487990704789,46.89154138133503,49.39371936838249,53.937039537730485,52.55602255296408,50.10119727195033,52.65634476536366,49.94936290299956,47.054300128350455,44.72617122311034,43.12635057103762,38.94441126995886,38.064085194687195,34.950934785932446,36.665697534359644,32.19755080229728,35.35536645271634,38.8035745860369,39.774670106702985,41.017730924675746,43.80076946324317,44.50416285911272,47.00125808206409,50.14783437840151,50.42714644748743,54.255903112915625,55.47562418632196,54.29132961033423,55.311646602348745,57.290914408271036,54.139645709923755,51.192017573574255,50.90184321190875,49.64050175105689,52.168749337957905,52.19252125779582,52.31845269585048,51.58094798382277,49.99452178458541,54.08321253798173,55.66595451787137,55.8327355347212,56.143919919420405,50.95729686770212,55.88751204255804,58.92993085388578,57.1323596084082,60.81169689800197,60.08941577562001,64.69753815615393,63.731326118707216,64.24531723630523,64.5418852042239,60.84329760085819,59.40654135801851,56.44898543443711,55.765880109920786,54.908291180076745,50.19506566190133,49.49975046507986,45.67635540688381,43.51939654621246,43.34694858141411,40.55304312546201,38.86619387770582,38.90436400509371,38.280391743455446,34.38866084076848,34.01640640534339,34.74222382653507,32.75781317714913,29.014993283437462,29.355182952402004,28.75171553754699,25.452006376374015,24.638691416180794,26.100113438425286,29.236255390244498,29.745208728063673,35.510248602025726,35.576848515391866,35.708723967959784,41.067900316708055,41.368140210347114,45.1164843289873,45.3960945503443,46.621955723048494,49.56201785417496,48.59391711983285,53.28850542503729,51.81404109298314,47.33994808748497,50.81671797759871,54.45289434608125,50.79865152704581,49.95059130463465,54.16270478371575,54.38128348179176,50.53659420476743,51.64727672603912,46.60111569891967,48.622315174952135,50.00368804471501,46.43371044252623,48.08823291915629,46.97337831067564,46.06267080124098,44.201583860652356,42.222128985489036,41.37690797714649,38.9734330329858,37.04343268802124,35.25914598734875,32.66552597810782,31.407376148716825,33.45617138232001,30.957742151729533,26.839742162788863,29.3530535882223,31.90509876564083,33.71853239571751,37.51490193570313,39.21666065168652,42.94275720814395,39.85585574431218,37.303545392056776,42.31045485172793,42.83703710603776,39.97819185457861,41.96153491192998,46.65087507743021,44.67052152743493,41.83646011084169,46.10717962896026,49.04448685775001,46.74494614098343,44.238588111846106,40.24703464997648,43.3707353316151,39.92262431587202,37.316137834812984,34.171845033220656,33.78439349924424,30.01060162134131,31.7726910752148,34.972666412715725,38.376428685134336,40.11261946592485,39.618666493612,37.94268131485803,40.83735350263293,38.1977640250491,34.07963636284611,35.97939238536683,34.77521310729732,33.90770782810308,32.53681271158151,29.703886778072892,28.312230327538067,28.998107772835088,25.80413632508204,24.494698438256815,22.2182865280495,22.211347673661813,23.24092084116043,22.85335123374883],[21.37405860036567,24.714910460331833,29.533848030319877,30.035480072902335,35.52642233334276,31.900552206077368,35.11955043763915,36.35931445285404,35.05833062421438,38.70497915662375,39.40223986134425,40.139671726573184,43.590547273085896,41.9804447616165,45.57929596140243,47.630264421352685,48.3260782447217,52.50599474620495,55.64756397754493,58.33773731492247,61.77326679841881,65.72366261437197,66.80474376813119,66.4089316497754,63.70325504320851,59.46705754490479,57.38485426916108,53.25203785800147,52.94261635093718,51.31659544667176,52.69035304742439,51.59598724764317,53.4232027390217,57.948054652832376,57.12800764178499,56.85369905699545,55.60229249506129,58.12665850813931,58.48354123379552,63.90308133324325,61.75180469095979,62.64527863127554,66.90371068720147,67.84277937423072,68.97230877052786,67.85027437947328,72.07070975399313,72.09876566820932,67.57766621815186,71.43533463754707,73.83826467668995,72.23802889298479,74.46115574305,69.23590195123307,71.86602233573191,75.69705498595695,72.28564767565862,70.1642735895837,74.94026286961108,76.13712519762001,71.63867002934543,71.63625593473971,68.85666362158071,71.03405751849016,69.68407333639266,65.63681065222127,62.428312820269966,58.662864956432145,56.16744235681623,52.62440910262207,52.17057177618331,53.23465314496777,54.9782995410142,59.45115572979997,58.28168635604003,63.95536940065718,64.0934481119496,65.68789651863221,65.62160094645309,67.39353175722961,65.11347547929101,65.56359949930118,62.012793944605136,63.49643925812237,61.333674116411,59.611983130514695,61.91079232968081,60.94502914439866,61.20128441792593,62.2237977875055,59.830115108619,61.52853527576783,57.47664037362163,54.67662738016543,50.541564600244286,49.13872557780773,45.62076854798814,47.91340238631012,45.137597554686984,44.02646046184659,49.03728540946615,47.50558212561301,51.740920061366616,49.47666288903454,53.83223643238806,49.03200119180072,50.142089045307586,50.416887367992985,46.04558260992719,45.13953664735952,41.612966220909506,44.05998884385864,40.76524518224333,43.4919509953142,43.90257282781028,45.19790320553562,48.3888734805826,49.82992273036662,53.455488162295026,50.62488641308411,47.83326230755402,44.69842263170893,43.63685737868648,41.56613919032723,38.87094891496769,41.75890595149266,38.750310329781115,43.06114354954163,44.61554190427211,49.04157783431244,48.81773922243753,52.17388235220812,54.54808313488531,54.66015520144082,52.415582219650915,48.95241080925397,46.81399565752684,47.273635487553534,46.64636654309116,49.02197137666984,51.177263072101304,55.83010830985623,54.74475447370301,52.41994621336327,55.17357999392994,52.71234744163054,49.72911048891201,47.677945373221206,46.21410812119476,42.14040148419805,41.4919005708471,38.59080798512416,40.59376890781612,36.329268894510825,39.376646462136826,42.710372050583096,43.420778113687845,44.64744724719745,47.25329508796416,47.81052632608501,49.939021756063184,53.133631740464075,53.0011328501827,57.02318968325487,57.93735493693343,56.41550536185217,57.46448099104363,59.15204814809117,55.94877946579935,53.05110806290785,53.00237818286605,51.90144782580797,54.75571930846521,55.04476442475754,55.393641733943646,54.90518274478945,53.35992195454704,57.624230209501654,58.9372324598832,59.139737372001235,59.1193117012504,54.03100143717331,58.79766876197409,61.70435892310248,59.79886950014842,63.5196345450353,62.81132366192896,67.32719161725193,66.01147807626253,66.60667724152023,66.76385300573372,63.22436052914291,61.661552741185595,58.70178863940278,58.05909921674865,57.1066877794444,52.35169023247476,51.80401835608096,47.866566920136215,46.065890299658555,45.8186840513181,43.35210762214772,41.526674069167186,41.14535719243583,40.73995969721626,37.012214369400226,36.01678876912619,36.76838979885036,35.29884540810084,31.307719909308915,31.194358761185825,30.731990008153325,27.845882250511906,26.441503451392673,27.435872245953135,30.458232843771203,31.115306131980567,36.3823682474077,36.98847004841518,37.22122496033764,42.57557884210155,42.69441956146268,46.647389992616155,47.4133602850524,48.79007897906332,51.93539435567976,51.219919135152736,55.760715879648025,53.96917516495793,49.58137620530715,53.246499072749366,56.58023943128294,52.71511778946636,52.06997675903349,56.372399389372625,56.136370916305474,52.19485224268176,53.65769097436723,48.68219129471619,51.19658037507702,52.624225173612075,49.17945318754743,51.12525402117239,50.12440118653238,49.391589996412016,47.34854761084567,45.27561715127193,44.76597454017574,42.327130883560955,40.078437491579535,38.53356141043455,36.08599010230791,34.44941298543284,36.38476369843391,34.11844003996194,29.948012605990716,31.951469745055668,34.46155308036535,36.072608933199234,40.04554009531366,41.912053738817065,45.44264950409164,42.027262165198216,39.498717430566224,44.592606648416414,44.73489890447463,41.73096893514121,43.86078451592032,48.41452323919042,46.00405646984718,43.22438819330348,47.699319889318886,50.40141273782332,47.732590731943134,45.23422810003715,41.2031488466695,43.86010390071167,40.24598714354011,37.759851040818425,34.823415742912154,35.02815079028872,31.504101497743196,32.663705672315594,36.046749985334024,39.23117968988148,41.3270626823585,41.24073474920156,39.89201224432884,43.12390256124177,40.567695015020725,36.599453952331416,39.013680754045836,37.92984433825976,37.38663506674866,35.610809818241194,32.65795389747278,31.733696863400848,32.35783271668392,28.665649487338865,27.552541652860075,25.639570913184546,25.64074001987675,26.425439640746223,25.730812446929153],[24.752288307347946,28.037477080449726,32.80105531534095,32.59707595248156,38.064703750710336,33.913938737203736,36.68203689823492,37.74800385501696,35.77026152815839,39.10663710237864,39.33576293031999,40.18720858419221,43.884061828047436,41.87979237765471,45.17422451273616,47.51440971272798,48.410727138614895,52.3165168753163,55.402587555779775,58.344078422807016,61.61906217655702,65.77810738422033,66.70831069447762,66.45961979467936,63.96535312500956,59.59608307038125,57.78967526280707,53.62756801360335,53.163919256429985,51.610916645500524,52.252700034733046,51.62981626574945,53.1096743072573,57.51442657884208,57.070554413002306,56.858054763145766,56.01756854705653,58.602156006163185,59.21693530343926,64.90057869951903,62.630407480105774,63.08194060136226,67.39031794864528,68.49503992455736,69.62559075533348,68.80092351420048,73.01160156595711,72.91422934796594,68.63782329282103,72.74540285429926,74.98522688339904,73.50582159754354,75.49684167243346,70.23668195974803,72.70263767748877,76.38263270907763,72.82932913467455,70.56006771383271,75.26508590544476,76.48006348681004,71.75676511312984,71.41705331025348,68.45936846096174,70.50870303329937,69.44952855621653,65.50426427991279,61.93923137881492,58.17910059373929,55.486050304986556,51.80539305956801,51.25252452028089,51.914961245258624,53.77862940348404,58.39611769530206,57.44429488111786,62.983803658951544,63.59149729982744,65.10485917750509,65.40218976649336,67.44788437215331,65.50120571746977,66.3070819961241,62.95143007978687,64.74497899871217,62.54658241610325,60.485208291889776,62.40471505761102,61.335483484208744,61.19684091477408,61.91964538446946,59.26362134584194,60.54434172109898,56.494281607937445,53.82175078728951,49.87779480550133,48.09748499189249,44.79346778062365,47.52933066786351,45.084189289088876,44.24011783184293,49.42184039091459,48.542043266192714,52.6993569187328,51.02956408700922,55.73871904062821,51.146396770789885,52.689952032514945,53.16911192240274,48.88998222644616,47.63054035167071,44.00955689172974,45.97023995510467,42.3019282728682,44.89294687780908,44.703813913462454,46.002062415337,48.85165483717494,50.33579787419398,53.42095272968414,50.5322461114387,47.71915532573269,44.76298675023147,44.06255929487099,42.30561696217662,39.9310290569277,43.38599140768029,40.80926159506256,45.22925821430237,47.139296283408946,51.45447440105978,51.643533863380036,55.13179872999884,57.2796801602802,57.14710344933117,54.817810801248456,51.08362713055181,49.301019521860134,49.221995829973245,48.249776356631465,50.39424617528461,52.205791745875445,56.74037598398509,55.46546921547476,53.368129944115154,56.08876931723913,53.46534559728879,50.6248162568045,48.60070184574428,47.47372621342201,43.29553942644027,43.04267389896821,39.70992843925379,41.91122554261266,37.276884135812956,39.85884811307528,43.47016591397005,44.138682612072316,45.87875417178609,48.149771582667945,49.35610855845905,51.47603635166211,54.21743171401271,54.30389060508634,58.28839418800962,59.57735334409689,58.06463124150285,59.53752901076341,61.28209317430941,58.33727328870418,55.177603368419916,55.22615341202456,53.76063245813548,56.56806133296201,56.75335937858921,56.86936501057473,56.38583735099403,54.40091170441413,58.82663054309286,60.24693714955364,60.74956262884477,60.86561655890685,56.01671303832937,61.020862301019214,63.99049394984557,61.90598501425667,65.25144456682028,64.1693791266595,68.86402616131917,67.50060033100326,68.45746659204146,68.88149290246734,65.32639388071715,64.11303245503571,61.32309471439627,60.916308166629165,60.273904180178405,55.48616007801412,55.16887207556833,51.41970693813154,49.41319903602414,49.60018202981993,46.919691579085764,44.888280650295485,44.96338207563482,44.752499431948756,40.737032991304716,39.8092463623967,40.98682181483229,39.47877569454249,35.2503284904725,35.47372730457721,35.278549439886426,32.03418576629704,30.62155116212957,32.162339309598494,35.06818287406938,36.08503603484225,41.19632422028071,41.70161724458584,42.142947840237184,47.55562264683331,47.88753189136511,51.73498393273863,52.28425874542287,53.45820862235698,56.480127504248664,55.455780626700204,60.10349911707175,58.533199237868146,53.89547387077662,57.38666118700344,60.923311633603085,57.07861446625023,56.162776562577925,60.35948837809433,60.36870241414308,56.36802311055277,57.3834441998713,52.55397654900775,54.76520270246115,56.399258948484594,53.07501228048541,54.80451679687621,53.95419022643853,52.81862581923069,50.808051411118576,49.14275394092059,48.35415989173742,45.67972544819969,43.854146758479054,42.31161372725724,39.652407267782415,38.27437092555034,40.574296235554954,38.185584091137194,33.938052821411326,36.40119173797324,39.06837908358413,40.71284222038781,44.581435604182666,46.18225766723816,49.914797556270344,46.76319093304807,43.97109351337758,48.99988773796383,49.438347250230066,46.41563616069236,48.22479034791565,53.0374243198653,50.79688044774914,47.72771998417034,52.04366643510509,55.03670663943836,52.442602183982146,49.74550030367384,45.538287607942145,48.35054556294947,44.581839107133035,42.41401867069836,39.093549742656606,39.263084158125835,35.38942245860055,36.462833203935446,39.821224264062934,43.1255612837694,45.081504961435606,45.14209841220758,43.26215198080798,46.39934860320972,43.38492065103503,39.683693097847005,41.97338048665676,41.15830824936943,40.03924108288278,38.30529586535093,35.90025285210333,34.711533663689096,34.647269479627774,31.491110334905827,30.935798909070535,28.899875007130248,29.076878943619416,30.115586664065795,29.623955949549543],[25.157285201256467,28.205914226173796,32.95138755495531,32.17150635002458,37.81192611379994,34.04981656644502,36.725607510898804,38.18936164511684,35.999543493118146,39.01828417799344,39.36738342003609,40.62568298020311,43.955866078551516,41.607500573137436,45.11296314188051,47.5766688143947,48.140571500439066,51.97483709586468,54.73249145380363,57.88224634590642,60.986141734852836,65.2132550917939,65.94184106899284,65.52315170549731,63.19343338611878,58.793356064113155,57.18276959681987,53.10627128469403,52.91690616561299,51.677433238571524,52.30660365128338,52.022981049275025,53.65582654325114,57.9254627022713,57.38831545567235,56.896283336124164,56.26719034894383,58.4736344819326,58.96435228624213,64.76513824637648,62.15044186081576,62.61087466695741,67.01595291552579,67.95206133800967,68.86741697139749,68.01564443849534,72.20054768803475,72.30268364330726,68.16510576282573,72.20716692911161,74.63213814492997,73.32162198198948,75.3631390807302,70.0780413907265,72.79086936048411,76.29798794861162,72.56849941012644,70.5083060253115,75.24809582255425,76.19446928364022,71.42770496922171,71.19080537829572,68.31964824698906,70.11416240290632,68.99601848012966,65.17963122251824,61.393363360178014,57.804393920254874,54.836379371954166,51.31956816373504,50.530177667856535,51.09942957327606,53.256419011244034,57.811093947895,57.177813787176284,62.81319596710531,63.46733734111087,65.2214932878222,65.51836025063558,67.50412720958991,65.75103786957779,66.45414233336908,63.339700775166314,65.00794622420584,62.58224179512094,60.61597280037581,62.38582605087855,61.619517869281786,61.20132435220786,62.204142286956504,59.35900089083689,60.62156917596693,56.6344400396659,54.14907413201722,50.120377030390216,48.380267579463506,44.963823847276345,48.06922061602532,45.72432388451756,45.3269673659718,50.20790180964131,49.541068677745,53.401955838697134,51.83841033445001,56.39050976968484,51.74939194166246,53.46198795407216,53.71325300153964,49.382853089965764,48.28750108135788,44.46320691993178,46.175872113789374,42.420633535543764,44.682772608418986,44.36803181221541,45.35166137951517,48.203765348952146,49.39962714386471,52.4788751165763,49.87300712703787,46.88993653903706,44.067233719507605,43.11383241689197,41.588192327906214,39.47236113737957,42.94358913659893,40.813933795055966,45.17249018674725,47.2415429683519,51.678573584900796,51.6732323615208,55.362359512499914,57.265544468531274,57.369321308301785,54.67594607785172,50.854053657727434,48.87199322379125,48.5695669640903,47.35698382545109,49.65466311792481,51.09249681957855,55.665165122074725,54.60695429129937,52.67870884271941,55.55348748901312,53.15481879760571,50.272460623246246,48.535514600946335,47.62304654382048,43.565487863258525,43.66292703611536,40.5045982680816,43.11293284794728,38.73301923963774,41.075922721979595,44.5264856473557,44.843937648251725,46.64460081262732,48.62269777850408,49.79811133898118,51.514898842191194,54.18380237398852,53.917994703358914,58.05723785574665,59.14504422485837,57.349599239012456,58.96177702642007,60.47581598032963,57.594317908325195,54.4027966399524,54.68083128254755,53.24630576261646,56.31526199764851,56.72473752682905,57.00457453625472,56.7958163985006,54.76571542941185,59.41275476210379,60.539722992899044,61.15834722442225,60.95495616484762,56.30381712053208,61.19878626000851,64.04304616271412,61.796339326561124,65.05395837520996,63.89022598507533,68.52955910298785,66.83310275425876,67.95974700033108,68.34206606061875,64.93733413186419,63.73879872800455,61.024940993487384,60.75610467060816,60.17682046254936,55.358714427125086,55.30005013770519,51.56948185328168,49.797309295146725,50.176440375229035,47.71115823615628,45.416850377533976,45.362583748375044,45.50980844426562,41.47864619556287,40.01680803970247,41.50202767468892,40.499813564009536,35.862756604968446,35.924293340678474,36.09455192203686,32.9701607147894,31.0296907881615,32.62841513234851,35.29576725993526,36.78918385644185,41.284218505639956,42.10322579088193,42.859762800859386,48.30636866200927,48.82321767595069,52.651318700308174,53.43391074498831,54.50129518766705,57.61962668329334,56.56828278058181,61.12318167784438,59.41608653142851,54.633952976684604,58.16281370515802,61.540936515882514,57.519257056496244,56.58294971779641,60.778138917048224,60.54504833605454,56.430008547366626,57.444116705936196,52.79395141107333,55.28237508879639,57.09977039228763,54.02228530951149,55.93659173412142,55.39525268676377,54.16052594178575,51.927111022697595,50.48578626984236,49.947331012731134,47.014869797310816,45.099327641270754,43.92302747368399,41.29104924806183,39.59582967672683,42.12493621262698,39.99487126546439,35.553554753010346,37.82239090596024,40.67465859381462,42.02941322654546,45.98311745158687,47.46011243790778,51.15608202552047,47.93958952126371,44.86485238290643,49.897373519041444,50.23512772783497,47.060288596565876,48.693872102430625,53.594415629101896,51.14803311925813,47.87396634437902,52.20221591695061,55.23345976826995,52.43005225279163,49.586675023483416,45.2518373764631,47.860155275904674,43.90450010722736,42.067347886767735,38.622114383386645,39.16666570826161,35.29896595003772,35.885008338080084,39.3079416824608,42.50010743894757,44.60386477215683,45.06003126258991,43.15812119878022,46.51599220719974,43.382433569031676,39.96994940121988,42.69181155908596,42.16050011879229,41.12842205048411,38.96890918556415,36.72484156041304,35.922336304796964,35.48162706007421,32.06610938627344,31.996303623536242,30.285293216278912,30.52849732451395,31.492298923193886,30.883805565432546],[28.0884464043839,31.18454629406817,35.86478475466616,34.96321746829366,40.459606041953236,36.26342822356041,38.67979208802235,39.84683668657707,37.34592014287082,40.26014974427899,40.237599926990974,41.38510702587875,45.00635167380607,42.55643308801383,45.72705674509397,48.3199021719435,49.158020378335756,52.80391210664967,55.64004287614955,58.86157168996476,61.90738781267147,66.23254393901901,66.9349338576903,66.68824338472768,64.4494784038088,59.99200849235971,58.49781257802909,54.39204640334691,53.984826913576704,52.67089188274493,52.79300242251931,52.69489951921615,54.009002055122565,58.227112491064126,57.99679842250078,57.67009599345053,57.23576437041944,59.633689158284646,60.348137736307145,66.24783034205903,63.70884235263681,63.86611545543097,68.24682650977847,69.36269469173793,70.35920649559607,69.71960964433273,73.89464742012578,73.83516340879954,69.82141095829073,74.03958833768702,76.27820354203574,74.97292984766784,76.8337786513977,71.55257346967173,74.04409163110707,77.51163799630528,73.77292631254831,71.53005152298232,76.1906379670669,77.25904685685906,72.3707477588829,71.85559227410035,68.83381509074196,70.63559220132153,69.75240698159173,65.9692448515156,62.040418708176425,58.403396425099565,55.42295851762668,51.76311213265552,51.00445132610084,51.31177872344188,53.42407938871509,58.082599848720314,57.4816733730697,62.94903812168574,63.919861505386855,65.50673547488958,66.06064158933799,68.2545190813835,66.65438179211313,67.64076083128994,64.56340055259825,66.4832185965423,64.14362608287918,61.92078049196438,63.49147056309869,62.52875925994587,61.96099708102001,62.6292646499755,59.69363732612363,60.65515547772335,56.66507312063454,54.20785248735844,50.38147683734574,48.36453845392334,45.181596269616236,48.41646508555287,46.27753362632428,45.865666651205984,50.958111154338205,50.62966002321196,54.549442699002576,53.32882920879359,58.15189190657123,53.68316369035343,55.57386679132111,56.04850781003687,51.81225202925673,50.440896588321955,46.674522060507435,48.19298230221711,44.27233160207728,46.5724557595472,45.92578177895108,47.03326803121592,49.63404113116192,50.96641373391056,53.656271958141716,50.91415543327392,48.00735943650265,45.280452715638745,44.6829258155609,43.28820811641293,41.29554232289916,45.08673128795534,43.04745561345159,47.46625401804969,49.66635199861334,53.96216318834566,54.28690175170466,57.95194763126686,59.82081133598032,59.67507194712516,57.098244270315625,53.166601129838575,51.49365394388892,50.9596027085805,49.634920327927844,51.71007962443694,53.06617685879749,57.51834924531057,56.25258143260496,54.41902793874644,57.19109108999802,54.60808836424168,51.85594496616182,50.02670519589453,49.24678070731556,45.10062282445919,45.292494368662325,41.81168239709674,44.33563819370853,39.64124316487114,41.774409036902995,45.44756879766028,45.89365785318447,47.985002035730815,49.862477633154725,51.461074565287035,53.33860273299529,55.73140121800625,55.75859054810286,59.78739659986498,61.19473268871712,59.53119773245659,61.3439407429862,62.98100532088158,60.24533247736492,56.92023841470795,57.163501795255634,55.49801056954198,58.41221328974267,58.658835401129,58.71840879118663,58.39355663189364,56.109279097819325,60.740292129223384,62.06178140280578,62.81993554836669,62.8444556611652,58.27683776207679,63.34749661097826,66.27562575903086,63.99412758110075,67.04081529281785,65.67459515738088,70.43937375701017,68.85097705073855,70.13740210949732,70.70387241439678,67.23789591975763,66.25403197058783,63.62113836004974,63.43619710170588,63.01460573617023,58.205373839388294,58.168611061319226,54.546512643719694,52.56164298806076,53.09201175248373,50.41830687763922,48.13992529995065,48.39113179539057,48.476004733351395,44.31392355878936,43.13686060903205,44.6944001652889,43.43801778471354,38.891489732903764,39.191785406702934,39.315139403997925,35.9753784114975,34.286569985563034,36.099429658548246,38.817799510950906,40.24572366514139,44.947681422839246,45.58301216617983,46.288239392921696,51.74282806748272,52.26589835358487,56.05735808592832,56.627463998109306,57.65009343006347,60.6595436106717,59.46326603151051,64.11414370836175,62.58638685837883,57.747812586360226,61.16348721857056,64.71747448968064,60.79128372939399,59.72283249884466,63.855513342779176,63.86077826964804,59.769110266368344,60.54022272846628,55.90136639585141,58.09378546262287,59.93917725505759,56.81841059935613,58.52447323636456,57.91695928765179,56.51215104189381,54.40949519826345,53.08499668669213,52.27398053074608,49.349044945303234,47.71039433115449,46.35689583405983,43.60911436489943,42.21151743620736,44.80200521639395,42.48266176013104,38.11755422235067,40.697110348875704,43.52334964038138,45.04041546342068,48.89875288384385,50.305081521344,54.11590404698237,51.060713007918416,47.99962417518473,52.99103842600044,53.52151747419463,50.41071815985391,51.96552482528033,56.94915184468492,54.678917821411005,51.35955835134508,55.595802454222834,58.75224427571721,56.07718515937223,53.20202404972884,48.843417916908706,51.60323027716731,47.654541966519425,45.8380118071253,42.277089220711424,42.64556396374231,38.61899808367263,39.36592849559974,42.732401174467576,46.01796255604571,47.98040055284613,48.34501479087627,46.17459160173907,49.37085597664465,46.04432117305815,42.675971842355004,45.11627782567618,44.60304371731772,43.21384757884257,41.29268967433921,39.288150722097214,38.16322673299616,37.52374164292063,34.55822334537331,34.55075508218275,32.61883344050139,32.87946030755695,33.964407441644056,33.47003584126787],[23.783447190240594,26.738003168267834,31.277793228521915,30.068222846422206,35.444966310400595,31.09190738991659,33.35634178460996,34.55429603971932,31.943623214954368,34.79905553669991,34.82349869881356,36.06545037528244,39.574456773507556,37.11698808560865,40.36796802969407,42.937115978998605,43.71197556918864,47.39842675915368,50.26188338844236,53.437878192946854,56.5227616783993,60.81814587955538,61.56594743255651,61.33288662847443,59.03707110451741,54.59216103948713,53.04833570131971,48.93502231989662,48.533474851024984,47.24574252310427,47.4829936221144,47.380663213177996,48.82060125888066,53.02806250832264,52.68350628087039,52.28102399152068,51.841944567608046,54.176107716130495,54.87587396164614,60.78234779035762,58.24815542682789,58.40712608059104,62.78447397899581,63.90393778700738,64.93198123994723,64.3112539698264,68.48977808948325,68.38704706922924,64.37483370661887,68.61716648665806,70.82361124584011,69.52721671197895,71.37220389039001,66.08635373811643,68.60409571170305,72.06041454989587,68.31323065597118,66.0942999271153,70.77450351462818,71.82292090025993,66.951331169187,66.49685995583194,63.51591419772586,65.33513899440503,64.38559105260832,60.57865868563762,56.71627938378929,53.06853092604006,50.13486205054716,46.49403164520776,45.77158592594033,46.22813451816479,48.28666534852348,52.91174473018044,52.24739057132188,57.788162802926045,58.62326579849162,60.279969047012486,60.74253040101095,62.876184786983956,61.26995363252718,62.20870365454508,59.18294981233625,61.07823419156474,58.703975236141865,56.48459464715446,58.045607557542056,57.14796719715739,56.57379535811885,57.36729019776453,54.44378806368037,55.53809211634781,51.5504670830143,49.09647776875281,45.16956537699032,43.28059301898121,39.976727555121,43.227904793481464,41.0582264782716,40.83707453057521,45.74947900879666,45.49790634062655,49.27586328329035,48.136082804011316,52.942212175800414,48.51549798379832,50.57491676227527,51.0520951568742,46.86487458381659,45.41245423651902,41.585191224535556,42.91390266886757,38.92158989208063,41.17141737732979,40.461703269638896,41.59731749973543,44.18544044396792,45.57718130019016,48.29528781589945,45.50402297386358,42.617736119024066,39.84899417793971,39.29474536593814,37.86407411816722,35.87406245793203,39.753988839135225,37.82179829227837,42.24426719058063,44.55689754686576,48.80095605671839,49.27231249336916,52.98349299655101,54.74013231990736,54.515090104826335,51.90995339658801,47.91173122210602,46.400573850674725,45.72756409437754,44.38180496204212,46.35692776035178,47.77466565079198,52.194113184768526,50.850651040991266,48.99548114639918,51.741321055163745,49.13744729356375,46.392736531593144,44.57277525577028,43.84510530092285,39.720083748792014,40.05490361408474,36.606793107559064,39.34912527387278,34.83549346563107,36.804585732071644,40.35647903630033,40.63084489419035,42.75723949260773,44.51165929953737,46.14942619328316,47.95053775657099,50.283778953276666,50.330576740479245,54.34404925706343,55.81596607628802,54.21185733993909,56.09349332054103,57.808716921159444,55.156311291207416,51.75962444496423,51.96988025280556,50.19444062495471,53.05919077516343,53.28367182200056,53.322527194010114,53.05117400936775,50.727254328861,55.42632632002601,56.67201797583984,57.485750384500406,57.47658862095844,52.9924177770571,58.09252407821081,61.02104575888527,58.692988861496374,61.651103633728844,60.234019621428196,65.02082474742593,63.474322338990824,64.79545487849103,65.43857438263369,61.950810969611496,61.0777549758137,58.50590815667203,58.4045852075157,58.13043834224241,53.32880262641443,53.40490395412384,49.921390127898526,47.83600230772408,48.66241776780079,45.92322665516244,43.47955940171315,44.00686039028666,44.29622117046848,39.96700525819593,38.79235615098703,40.68828346072173,39.53873595920568,34.7528029177137,35.32242842897432,35.76085221672483,32.175284677789655,30.426664769830534,32.785562592677984,35.33387475946345,37.18741844826871,41.676730683527495,42.0930048282879,43.07893193937208,48.5686978614475,49.53226097201694,53.06243405745134,53.394505205700135,54.107709556217756,57.00263605369253,55.50671971512265,60.184232275362696,58.83652537206607,53.74224990571793,56.99311657018168,60.67131698277152,56.77028820576255,55.46419212220311,59.49220518494321,59.709126430143456,55.598487854158506,55.998091747182976,51.488357002423015,53.480565117415914,55.48577064691132,52.54386312523342,54.175985102452515,53.849317625223996,52.145116629411454,49.95119491884053,49.012614748445664,48.19996978244261,44.9880089439146,43.56497073559092,42.47169832568921,39.64083760072332,38.20721543436164,41.20163411662192,39.03244662807669,34.501815726689465,37.299105528937694,40.398240644162286,41.71896455373737,45.47814332905716,46.536064881367835,50.48372984648584,47.71148153310853,44.271881868822426,49.15403984855989,49.97027578300806,46.838227027490916,48.015863403891025,53.24040081042302,51.20595768814407,47.58736180129624,51.61073063657593,55.06806306121879,52.5729171575555,49.52036100636261,45.05768238812588,48.12240555645345,44.15877863393038,42.55794219972121,38.615159075039294,38.75434928577838,34.46667802272694,35.3218457025158,38.567398093293804,41.97990155952747,43.710253402833885,44.06145470883629,41.52661728063195,44.616537475992004,41.08480305120901,37.88887546578319,40.32649878829163,40.05175606863777,38.46732712426254,36.40988166416811,34.73956164491737,33.67058409431264,32.59143783192566,29.800556961894422,30.25281065124208,28.487251301642623,28.944693747065937,30.202561866049745,29.91484006274455],[29.78230517775485,32.59232018849652,36.99424570962149,35.284635235125904,40.54367143550453,36.052324630761774,37.87692128448417,38.96758648998036,35.8233193617884,38.20002678807172,37.77553216568925,39.17573741301133,42.747046274085115,39.87199770507539,42.74561079799942,45.58914712466061,46.47256060552041,49.76130410479498,52.406415004065174,55.85820531540463,58.668304441654016,63.14520650329623,63.655798354399714,63.52288262811221,61.538395716570264,57.01309708755391,55.84309080202253,51.80413430957389,51.332739079491226,50.22474420698328,49.67475008471176,50.15549060018711,51.22144601933973,55.19306631299651,55.24425946707112,54.85327405834965,54.89263816643917,57.162488624008695,58.07331619923215,64.1794747986397,61.46892756716516,61.192849356841286,65.59111450048987,66.81352813530093,67.75791150186582,67.42137053247427,71.53384230186722,71.38297816766371,67.69294153587542,72.10038406999058,74.19290506451597,73.06231946087104,74.68672730012608,69.41669464089955,71.8097955308566,75.04054855672456,71.14714766172837,68.85661490292247,73.42053230795366,74.4083771527048,69.34124489396129,68.56066852224667,65.44348860992453,67.02673455493668,66.3920220085549,62.78105881847847,58.51884287931911,54.98750360369512,51.799912843303225,48.12617957275443,47.22813986640977,47.15755325640936,49.41872467089344,54.10945197282904,53.807723172800216,59.13151391310979,60.50154207493522,62.10288437310772,62.96114493087591,65.34608800819086,64.1477859699859,65.40898033937258,62.66059509888679,64.79953946663974,62.37294510699613,59.88443219782939,61.01574059920605,60.0941451265654,59.057109466125546,59.57812863967856,56.36910326709798,56.961401603869476,53.060091007070824,50.84128422261476,47.201407068012,44.928663688057654,41.94166524119099,45.67867868608374,43.93946455835493,44.051874243469115,48.981234849260204,49.38373599579476,52.97993679587649,52.40812090554794,57.415615283696134,53.21544762899983,55.59720578101089,56.18418787076375,52.10795254296888,50.45329198398059,46.598320865141005,47.487396861014076,43.26783428688119,45.26699398396361,43.999838073219635,45.010745109036236,47.20395164990338,48.50937001023983,50.612235994977844,47.91673992492531,45.020647674471746,42.5634495319513,42.30467337017836,41.30456120817173,39.75468044003023,44.011012942068035,42.58693999037049,46.97531146928335,49.53817415880323,53.658866780512156,54.3768328920804,58.178988786681614,59.700278659190836,59.35132657598912,56.6300424317427,52.460711867226074,51.18224911736942,50.0383636112444,48.35308984810157,50.14878745357934,51.09407981858021,55.33487760380887,53.91431408867152,52.368848024797884,55.080962940556745,52.43838226360655,49.875416110142275,48.1945112711347,47.838889815186675,43.74786846171781,44.47158366446722,40.7730404894901,43.642213731800524,38.939256474614325,40.412383026948135,44.113424559067916,44.30315894151575,46.85355686146112,48.21986587577204,50.398658874918546,52.07948263329116,53.94696963708714,54.100050447360736,58.05644984219491,59.77658512539584,58.1177587958711,60.37320474576696,62.034276707140585,59.63739736845826,56.07127771784987,56.43416382131619,54.40510943575443,57.26260009912382,57.453983546427175,57.32744221909061,57.11898822776099,54.42748186124366,59.235630161515786,60.51022131547228,61.602595855350714,61.64654770709562,57.4675305267351,62.67129442610003,65.58922405144575,63.102635145953094,65.68814086545625,63.93573966301984,68.81085769583845,67.13483203621598,68.81226774337675,69.660077539464,66.23967119799487,65.65908522814972,63.265553099362656,63.37546636473639,63.332918740704464,58.5467794310051,58.835694294368686,55.50449401905249,53.36827480793635,54.46590513169953,51.66513110443118,49.0995273899229,49.84407711179455,50.276103635102956,45.85301157046266,44.63873560725089,46.752176266566316,45.64964862627548,40.78562829738092,41.444965110825365,42.00224780886563,38.35327097180253,36.56472783062585,39.02701233517104,41.487371194296756,43.47988218859853,47.795901951703215,48.277447059542126,49.353980949009724,54.84418809199592,55.828560900981024,59.360721095102,59.66885940674688,60.31992767376574,63.167620717300814,61.545716441567535,66.2469621204541,64.98507200770237,59.79215637234709,62.94946120792975,66.68457645437036,62.77811798889612,61.34881467490592,65.29847199824795,65.58353212819121,61.43805753160701,61.60414403082554,57.25252555327757,59.10913457294651,61.2480043667882,58.41992032400218,59.93380373014944,59.69708498323598,57.77734653448883,55.616037383167345,54.91584861743155,53.95309974533202,50.646075441227424,49.46640223544787,48.37054819283773,45.462219987074384,44.18483676784918,47.29152695452477,45.0569104152445,40.56291394797422,43.50741914882614,46.6125463501655,47.96526676842544,51.67728415071833,52.638759478521635,56.64505987295155,53.96671269565252,50.44852600462112,55.28212489976627,56.18661341329543,53.04038878184153,54.07496798729476,59.38438492990469,57.36234123469226,53.6240478876323,57.57037888065383,61.124147018217215,58.59747130740119,55.45137735929848,50.914700079723666,53.912762305250915,49.84853262650271,48.48209443119373,44.429534526953205,44.696961187335894,40.33711702940569,40.97914573430701,44.194809175907444,47.57011484496393,49.277754855948075,49.823680576844,47.04710644699723,50.09267104181696,46.30437322849569,43.39446255504298,45.77698541475921,45.693382120337745,43.78554170327454,41.76170340838133,40.46533850881801,39.28694551434431,37.79380307785229,35.38863068310103,36.14898654619599,34.33075578840403,34.78722095691285,36.06860868077282,35.75288959127704],[31.366188724621598,34.48071674812374,39.01967098478247,38.01147507638501,43.24498033589037,38.49693136899432,40.55513386485814,41.288803448249084,38.44695598945725,41.222917540629325,40.712928913841615,41.655064547426925,45.64408684217824,43.14526538061134,45.82222378381167,48.53296356939122,49.76265895609988,53.14915517282404,56.12417923529433,59.37233660604256,62.35937572447791,66.7714300048117,67.47817037225056,67.49037526727773,65.34095290351131,60.841200479670775,59.46416197306257,55.33611353094663,54.60722517379627,53.16195297803611,52.64023574366875,52.733621456778316,53.61274575577552,57.74880849561761,57.922028429173615,57.84611785606283,57.63678153460138,60.316257560322434,61.33138464989988,67.3103359403422,64.94015398005055,64.70106036524275,69.01163313610793,70.38058128760363,71.51951173353764,71.16956157706558,75.31560253032143,75.00561293656786,71.15227618753867,75.59389889344932,77.54622823637186,76.23200999865934,77.83721781650469,72.58374664006509,74.74379443403981,78.17299217767881,74.46098988302495,71.95940219058878,76.49552477309575,77.76133231960749,72.74190328714,71.85726496579244,68.64004483473781,70.49025781616704,69.92031349813197,66.17397713362121,62.1294099771265,58.42151499103494,55.50199590226691,51.66122385957306,50.99491524335128,50.99554464443469,52.97056731940961,57.73523951047359,57.11544487758756,62.32177597691697,63.6732909905225,65.00144700405961,65.87804580739,68.33526700073224,66.91332288458602,68.27300373223984,65.23443025062656,67.48581955568669,65.2973913166215,62.74056143997963,64.0634456757375,62.813702501526805,62.094386668108996,62.29362896030956,59.2907943254965,59.87206545300718,55.895415911772695,53.46419244139571,49.93717008520933,47.58512078826427,44.746146920813096,48.063659444677924,46.20055439176524,45.74258695060766,51.074207119425004,51.17517068003528,55.15742448198798,54.390522552011326,59.54768660835846,55.34025062238665,57.45088668326963,58.23479853688785,54.156090873940634,52.41502951681129,48.76387239861481,50.03166918788567,45.94087951151196,48.306570675671935,47.25783598588615,48.56178065170357,50.82118685959807,52.37444277185793,54.55545952997342,51.603965902910346,48.85205929543612,46.24743854863532,46.151959721828376,44.892789296487386,43.03638167380752,47.19659851694458,45.239747656779656,49.703420414511456,52.04330542188891,56.11093981610742,56.89584999631376,60.495365276238694,62.32766214751366,61.8216724275041,59.450577170892664,55.40389594914585,54.17787496000194,53.36734584588049,51.94609973246454,53.69808423855081,55.014813342402725,59.28041310020328,57.709994720092915,55.976647829287906,58.57225088936721,55.729881931745474,53.1733071122265,51.198112232746276,50.56921395195792,46.33668347523564,46.619976047513795,42.75234699357937,45.117573295221504,40.08441840151762,41.910156459510624,45.826111327821295,46.45482273246133,48.89747796445649,50.64805683896844,52.787637580530124,54.90112984346164,56.92586769776024,57.38404394080494,61.22196335236988,63.06400344319185,61.63459277126227,63.6802415222466,65.51522286072958,62.975189266808194,59.49342185594718,59.64909562489149,57.68239780376995,60.33803025528813,60.3399756192886,60.09055168292496,59.58847196944544,56.99143421539872,61.54985866677328,63.14520223800046,64.07176954085266,64.42913925917242,59.97958947904077,65.2682236188833,68.30829471300252,66.00836266114415,68.7696892718686,67.15446591539717,72.07172049017244,70.68849113077947,72.15226182217087,72.97408304251007,69.41084208238367,68.7217211814696,66.19946867758402,66.11466791978236,65.90694311477924,61.12752047109509,61.10434135401184,57.65389115371692,55.365796129520064,56.1097012220556,53.15317164221221,50.911547289027595,51.59954988132425,51.59998747555509,47.27518613771489,46.513880074206014,48.170871800919755,46.575985275061285,42.172642297539575,42.81724934724314,42.899307284033796,39.27303243572067,37.935914766003464,40.07197633738286,42.836058094493374,44.20437390215574,49.169661220479085,49.5069836557317,50.164025744951395,55.61386836417725,56.206707766178454,59.8938383076172,60.131942274923695,61.05106705029919,63.88052715319883,62.45289796836083,67.22463625424585,65.97827034721544,61.053318475582394,64.28061970049467,68.08690790885518,64.31800823465427,63.046507176963665,67.07159567961372,67.44764737173195,63.402975098693254,63.80153669923527,59.19216780835305,60.932327853849046,62.81445694017231,59.65374070542801,61.05309770449088,60.379157516792496,58.722127316867336,56.8066287129432,55.68117032136768,54.502846357218246,51.58449645095866,50.35101554919589,48.792664464500035,45.905452338579224,44.91443282328968,47.608230905782776,45.07350729211084,40.83041128589821,43.822984160576375,46.62930049286158,48.328813429038775,52.02395604009384,53.285455423047324,57.249717369190066,54.46775907376221,51.39692961685991,56.29890030987402,57.129919521796495,54.121089985789496,55.52581073313508,60.63202665699133,58.65214457633051,55.25345692881186,59.325693114905,62.68075801626756,60.227012830516365,57.30417179571443,52.924040656755174,55.94322318687867,52.032669893675155,50.237941360663676,46.49355778521625,46.56639493331803,42.32712964841224,43.33794294905575,46.59517276795154,50.01697459898311,51.74414873218289,51.94321643845306,49.4010216994394,52.33369404804073,48.77793915095342,45.475041453852626,47.496566550126914,47.01508031325607,45.153638168563965,43.57468749557911,41.915939276041556,40.37530745112983,39.478221845024144,37.15331164563375,37.234508074592156,35.04212664302702,35.34757289845002,36.581464464247304,36.23945554708905],[27.513127840663046,30.699078605231776,35.15490054196071,34.469078919316175,39.50584566667838,34.46445268226853,36.568270064272724,37.045945830754846,34.395665576110154,37.44662478966148,36.95375356778906,37.61400686382886,41.79624298633566,39.626546441433575,42.25913770524185,44.812450914435836,46.22304888496634,49.75686552904295,53.01732723303054,56.03431911438295,59.21469836629278,63.51943917932889,64.4390653875677,64.55057282363676,62.19466926607673,57.74751850204417,56.13240543458069,51.93484160467959,51.03329746181111,49.34663824140779,49.05298511041888,48.785686250385446,49.69676719637555,53.972899383440804,54.0701279241506,54.14736310056886,53.69030726491515,56.609790374869995,57.65878695152166,63.509639356406,61.41657087372349,61.265438048386905,65.49838604682162,66.96113874207873,68.27518614576057,67.89072824829843,72.06455046117955,71.61185879611611,67.60505104373392,72.05971645269908,73.89678700320937,72.43521102007722,74.04360040561443,68.80676977240903,70.83757697760738,74.42279967999634,70.86142687086252,68.24769918362654,72.79227265020211,74.24116270613769,69.30618478667166,68.45793240455194,65.2364982554786,67.32198891625845,66.68533119064516,62.79797106192492,59.032296516459716,55.17776934831117,52.531910768934104,48.59706982759152,48.15680065137044,48.41556399147807,50.10907143320021,54.88223862603041,53.926268874094006,59.14832345031746,60.28124601514214,61.491884994587046,62.234462529469674,64.64528923383723,63.00138947359309,64.33806600102048,61.104831557057494,63.37642488711463,61.34109152552872,58.778952343888754,60.28653223631149,58.86849840098514,58.436720251517755,58.56488339947904,55.760552023535276,56.53273321659832,52.49278827870058,49.88004198337959,46.300096580277675,44.063969748088404,41.17770180333698,44.13899561169071,42.10437563025788,41.360240500793005,46.813828111752755,46.68481188702526,50.83267783578077,49.93100136894663,55.144063825694026,50.960818642143245,52.98455572114886,53.90289574626358,49.87686292242872,48.02035475777315,44.4949754927658,45.90526102601417,41.89240679678085,44.49874906353117,43.61360003439158,45.17105541693736,47.492080946508665,49.28818319166561,51.61098924991444,48.42415424892435,45.80928016641104,43.03540349728191,43.08048727594734,41.56250548593421,39.45330803129898,43.5593246528878,41.264353811932416,45.76003356608881,47.99774606501719,51.964110874905295,52.910223976955415,56.371955175727265,58.34731497911299,57.66615949972927,55.55262417694043,51.57512978630181,50.526038685593385,49.889413929504165,48.69031247392926,50.31839749545864,52.010013189247516,56.258575668222,54.52149849756003,52.60303997262059,55.07953104302169,52.08682157538633,49.53282813666788,47.34026778468412,46.52032397042614,42.21820040686891,42.26027052107525,38.33152168959139,40.49376376191598,35.39865672866473,37.39029106720376,41.339601738194425,42.14610842041653,44.488033617628474,46.44857350553367,48.529114963508825,50.90039932479235,53.0285876834158,53.71762693060591,57.44423029188528,59.401317860797285,58.21051681985514,60.112704666584825,62.147103388781744,59.563810364822515,56.11091372338616,56.06655759363236,54.07940803725739,56.52644614359243,56.3714602504941,56.03138053800892,55.35709426724456,52.84410272070867,57.2590779635848,59.00924872982164,59.829527541637525,60.37624389317888,55.78593534332313,61.133513384256176,64.25386326132953,62.07329987960662,64.91729643412071,63.40128508482338,68.34412420028058,67.23225417291363,68.5232900439986,69.36745194625932,65.68706253646867,64.98686289953072,62.41673706609358,62.24397006033956,62.027907345387845,57.28402430075406,57.110190997890534,53.702070261968714,51.224055336643396,51.945739287443935,48.83223579375908,46.70746787007992,47.586205625326926,47.43451669726076,43.06443029146489,42.66848966191782,44.254841626026625,42.38438253332379,38.160508891395565,39.031863615633505,39.02250654155978,35.21973694712988,34.211920647300445,36.559711981722785,39.383509815293934,40.64161606617435,45.890079103438985,45.90540812062558,46.492315844369784,51.919603167486144,52.623107554640086,56.17664751367489,56.14065266164422,56.969875010187124,59.677787540057096,58.13104027706337,62.96320407522392,61.88798553351165,56.949504659420725,60.07359717923893,64.02883051440047,60.3970708980786,59.03985093280284,63.01390063281493,63.643400669229486,59.67893333155334,59.928458243798715,55.25309727967648,56.727438568263,58.54426416941555,55.30498226853901,56.55987965937668,55.81822615931914,54.10540892229096,52.288606551689114,51.18381003972665,49.864042088757756,46.98698954898186,45.89591253855324,44.236664170837955,41.305621480065106,40.49210147805465,43.22492959719398,40.61742274054404,36.42718064556808,39.63339692266197,42.454761512251956,44.22512588944486,47.80506044521671,48.9708302189196,53.01206082832457,50.41707822263328,47.35020325605676,52.182482520892016,53.21279905675982,50.302161512500085,51.641478817927165,56.78712038475437,55.06444251203152,51.672395035233684,55.62775097041198,59.09076228855512,56.872645669074615,53.97560698207763,49.65085846979095,52.95599374732817,49.185188083549924,47.25324669188039,43.43022259175994,43.12967906827121,38.79160923674131,40.19762471681,43.342521034826845,46.890638413662074,48.404970524986425,48.30675393700262,45.6455933087157,48.3752604159991,44.850248741540696,41.41110908648201,43.13606085362311,42.55620382740746,40.58794958838686,39.23660578726177,37.591472721438734,35.833405513363346,35.0321465578929,32.94227350087682,32.88155871249601,30.57333540371028,30.921051356120955,32.280038798674234,32.132182528021204],[29.159405491963152,32.03085521005862,36.190174429342214,34.75499244114243,39.54533499789468,34.29583558968435,35.83018486527577,36.24825082680219,32.996491999468454,35.51391927740691,34.6363342514422,35.53900489732861,39.65811107033954,37.09367188618442,39.43404937648415,42.22072708245458,43.67244270858873,46.867111617180136,49.95180640238228,53.17398548462452,56.13637707446594,60.57464486396531,61.3203028915084,61.536128090446574,59.412206458881776,54.910535736752806,53.59219114892707,49.46388999119668,48.503865827034375,47.01562077170669,46.09181785529534,46.3747631412064,47.05572793125848,51.096377288325954,51.45278946953524,51.46441374331953,51.452961441631146,54.239941827771354,55.46590264908726,61.49808448059285,59.244815399743274,58.70036562877799,62.9437999406608,64.49908104291472,65.7618553555381,65.65081499832576,69.76140508625409,69.2290944389256,65.52088176535513,70.13906878494714,71.84646868175395,70.54937769881076,71.94514790448214,66.72479313250749,68.67143219941332,72.03139213502654,68.32896666233275,65.680764308121,70.13501404859136,71.50019958821166,66.40978884586505,65.3233453451752,62.01866848837993,63.90385657092242,63.49015267391389,59.76266552608095,55.695821191292836,51.938227593441,49.10857856757387,45.15934875632455,44.60042985372194,44.51734913995957,46.331765052309144,51.13715085892713,50.449499603590574,55.53893426264236,57.03889310741548,58.26725096819693,59.28829876584351,61.870900518895645,60.6026952050872,62.186097098174436,59.26859637178372,61.73264991165312,59.61047373336576,56.81340993859575,57.91044966825636,56.54161108635663,55.66952356152826,55.668198416517335,52.607125397073716,53.03854631764708,49.077848099070685,46.68843535521269,43.28237297172658,40.801986413903116,38.10394633743046,41.54806309104635,39.900990069113234,39.68455806786795,44.9539781401331,45.52886744364132,49.3420871578097,49.05489512537213,54.410706906181,50.486125531427966,52.96371339477837,53.963924384105304,50.096211379668915,48.00326569370393,44.399859963695164,45.209528880881884,40.935850047352716,43.240309423639516,41.780049106280025,43.24455838077113,45.18145605513431,46.9511508868103,48.72939137138546,45.584484076873835,42.99240313218173,40.47339113183072,40.841704275161796,39.68933231792732,37.99903613634034,42.510579405746235,40.808174730658436,45.248294334455046,47.814769392294956,51.61121305815774,52.898487170891705,56.482292562987425,58.121361707936614,57.27279834935715,55.01608256931085,50.8349774070833,50.14086107337094,48.951989354896966,47.42594384541701,48.79345762687359,50.10707323368201,54.1506611287448,52.27464031205346,50.62341606446134,53.0392319363523,50.0017028557295,47.6290420795453,45.58486805338402,45.168540178846236,40.93872927957444,41.496712338238225,37.39229250557704,39.90162830663458,34.85123173373534,36.17313675793465,40.12200618397733,40.66011055945945,43.43237283277154,44.89013117575473,47.50385171501029,49.66608246997488,51.30149230403196,52.09598147100612,55.749275076608505,57.98365624351229,56.791769725332635,59.093012452462375,61.13672153570788,58.86626182877379,55.20836815871766,55.27756778216354,52.969818074138615,55.364119923984866,55.16718228111897,54.66457763940461,54.1124156994706,51.22649590081366,55.80807524054078,57.49549082405063,58.62582179708479,59.17275010830826,54.96017652491854,60.4078748526444,63.50420850211098,61.13586458446413,63.552671689890026,61.68597602778665,66.71834895441883,65.52034414408068,67.16616150558629,68.2594399709036,64.6340571544008,64.29888308741975,61.95363372030271,62.05299365889495,62.18107573863649,57.47187883086557,57.60796131323934,54.472976171384346,51.89090815544639,53.131271737946136,49.9408488837911,47.545254966124226,48.84501834927427,49.037737586754524,44.461394329223054,43.97986251662625,46.07408010915777,44.411412420574784,39.8898596343367,41.04601493451307,41.455941041471014,37.436467763549466,36.28017918637488,39.166321976789355,41.7244358701618,43.513062305018764,48.32914015452896,48.25134219013365,49.19216125653595,54.63215897567008,55.75269693073145,59.07039172243223,58.83858295393133,59.32571379381141,61.895634644707194,59.97636578193631,64.82691002061084,63.97218504861793,58.72187168750692,61.61218769045807,65.6977298139548,62.07675685103162,60.405086809755154,64.20483280289874,65.05559645616604,61.047125279557214,60.7634486336113,56.3730138351043,57.5705207847927,59.658727671325565,56.71717479645866,57.816116441857034,57.445800985244894,55.267040557816316,53.380826069254375,52.86616002312583,51.450510290130815,48.21295317289386,47.52772458640638,46.157600638790974,43.10843088244617,42.363391654477596,45.56429793586119,43.0913039940563,38.79356693760061,42.25802193946433,45.32936286079435,46.90153603137331,50.346399989234186,51.0992944202695,55.28880523086656,53.02410069136586,49.53824317366512,54.20964658400791,55.54893931328122,52.60105744322989,53.46358724145493,58.88163386431607,57.357280657640715,53.59483026213653,57.285477061150885,61.08553154654501,58.98068831817028,55.846328265767006,51.372751121076135,54.850012228456634,50.97445048720791,49.46372262783679,45.23280167409173,44.8838574957585,40.286830426100714,41.548547694138655,44.55222756562769,48.15100935677744,49.44940402406984,49.54157604838149,46.35981884223089,48.95751429677275,45.03018246266951,42.043505029449115,43.74268820175328,43.58357805985498,41.1636939773669,39.69207408675358,38.71556645058937,36.968929358486314,35.3558739082773,33.77410400930846,34.45705733740695,32.31755312440032,32.84643240002884,34.34037378652314,34.3315525128179],[33.522645294290356,36.51752158633836,40.787249746214776,39.512334916901466,44.37611090962742,39.13538941029694,40.713315421496574,41.04079517439375,37.80643850122855,40.31052798922005,39.301988941756264,40.09694260363571,44.34035878794036,41.76781919529391,43.91391070595049,46.736678482237565,48.31360249194779,51.38170042876047,54.44627848102734,57.710916642451075,60.601669830508804,65.0776645792903,65.77439885319576,66.04885783129974,64.01239656150986,59.500889461064304,58.271604930993746,54.163050622388255,53.129993721606844,51.61134648797339,50.417263049211044,50.77800863612311,51.23529659235916,55.220906942420775,55.78501863068659,55.91472688188451,55.986930722421945,58.87062262719653,60.18410185340246,66.22646261319125,64.00361029318815,63.34079243822946,67.5602405046434,69.1765676849648,70.44312573152965,70.40748386537378,74.49804265133045,73.93286155002811,70.29136336783162,74.94917408343922,76.60032756206718,75.30755363220413,76.6331725071439,71.43264909641306,73.26560763911766,76.60355346043441,72.91248104758698,70.18314700786958,74.57162518817306,75.99746588858916,70.86026411341209,69.61523813893092,66.23229470475307,68.0949381962928,67.83431218116974,64.1606261504018,60.009143156409394,56.26913179775108,53.418907188537155,49.43853227391773,48.86478420302592,48.56428973405981,50.387228369125786,55.21233619977312,54.596614445049546,59.51789364089043,61.244549979053225,62.34264265091408,63.53635582047095,66.23669770054764,65.04743285784072,66.77215862422113,63.85134164032422,66.42041856573482,64.36155909087577,61.47567825784045,62.49245278398736,61.009335607901164,60.08166278666766,59.85227471300631,56.766129586087445,56.96395710526502,53.03983371435428,50.688420552322114,47.47866709577425,44.82294343313556,42.343875910127906,45.78612846304448,44.26171931381144,43.90856168957636,49.328446163796436,49.97172184308619,53.87743958239782,53.660744368321346,59.102146037201955,55.21887500517003,57.6367294639972,58.70570410404829,54.83770409723498,52.71850839301358,49.17766464414882,50.056268561989114,45.79631207411794,48.1336983460542,46.62217360079415,48.08956321102108,49.9458691397578,51.705109500147586,53.31860715473755,50.18570428225152,47.62028911185118,45.18561520156377,45.62434295658964,44.5470810829621,42.9019236596348,47.42736617640788,45.6861955575586,50.13442923346311,52.66154392800585,56.44794613896907,57.736287553729404,61.2847871857024,62.98555923848794,62.10932441939785,59.90882296529356,55.739536956499215,55.02688666049165,53.85582655922942,52.30620639511442,53.678812392473375,54.91356990383768,58.93057253971723,57.045295918849625,55.45098071823706,57.8432048144052,54.77147556216166,52.45003405925519,50.38335142758221,49.978181758196456,45.730869235503114,46.218170788500125,42.02335928945527,44.33309534314185,39.10711731030978,40.459462654573336,44.52349640883132,45.220565327825035,48.044106610069655,49.54124954263947,52.256144773030584,54.51207839493746,56.086208446600416,56.96076044329056,60.576475056083744,62.868194143064976,61.681619344332454,64.00507045777425,66.03428021594624,63.75826581263702,60.10493432839433,60.18781091316062,57.88222280409183,60.25873002445854,60.02424637438237,59.4611258686506,58.83495370517456,55.897162671213486,60.403196286819636,62.207132472524414,63.34829966287246,63.998013779380315,59.77240037998508,65.24930633569791,68.36947995331319,66.02197412464042,68.41553542777784,66.51107795766202,71.56271245221957,70.37661499696264,72.05791993125052,73.16811666243025,69.54004451508811,69.20759349394773,66.85054357373957,66.92387380244082,67.00629371275618,62.28877433002612,62.36057791681629,59.16582509242298,56.582871538074,57.67709231484132,54.46485702608262,52.180443246636024,53.386833930534,53.43006071229095,48.918512717109884,48.50493011327682,50.40854902528464,48.60526763462681,44.24646311356883,45.29070394444825,45.492806034808794,41.56080145897124,40.48627323093471,43.0966435136291,45.78798903340224,47.30637380576251,52.329447904078414,52.34148549507021,53.09474633762302,58.530073213958815,59.37646193703655,62.853083870560944,62.70464221262865,63.37792526529158,65.98634315371004,64.21167290856526,69.080105023665,68.17063605368874,63.06148388135564,66.02504005765567,70.0924082146133,66.48211990145792,64.91958936052967,68.77125198863007,69.56576019481805,65.56785540859357,65.4467415536005,60.97127664938094,62.206258015400216,64.20185788222398,61.126644462896024,62.20416017721776,61.623795697712744,59.58731180598276,57.80849482153211,57.077307157551246,55.57240522507844,52.53296449006564,51.7912759510931,50.194826507393884,47.16929490630617,46.53471828178598,49.48957928429201,46.86093731496835,42.69466542910203,46.10679659824118,48.998526768376074,50.74806500152905,54.2322257771253,55.19084141761773,59.33063544466883,56.93254539776605,53.68783969537231,58.42708549714964,59.64435451568063,56.72266548430511,57.80560965417172,63.10710247027566,61.4832589489481,57.88448853582735,61.69474105065876,65.35119519924243,63.16576319876263,60.12151744141247,55.68835392557481,59.02688401155908,55.14387684628564,53.49997524057617,49.453960754219246,49.20901071640286,44.71491625401089,45.94462787619408,49.03035541030044,52.587798437394895,54.00578103005934,54.08668989279247,51.06041880896445,53.690298028638615,49.84228327983348,46.74848767329563,48.38039000355982,48.06797118591866,45.68354530288384,44.36571507549353,43.225147895036145,41.362062221718546,39.99999239574186,38.39366873329916,38.78947498596031,36.480429361286454,36.889503925748926,38.30269464345755,38.165598452768386],[31.524517121239228,34.781380129163985,39.14859620148348,38.704849676722205,43.52910642220814,38.15642205086207,40.11380458694944,40.16988559847096,37.48162643128062,40.55299531423299,39.71587861571855,40.03538197029258,44.57824005310063,42.554855739804715,44.7429520480919,47.2932509208551,49.09026473417308,52.455412389988076,55.90589196177784,58.84217642496911,62.02983931684248,66.34281497883782,67.33330250621785,67.66567615935237,65.32179941760617,60.88275643905407,59.27780847590596,55.062880397804115,53.860874008703135,51.96460559108871,51.24895213259062,50.94900286594453,51.46677585092737,55.72136050629268,56.1527725992715,56.53544411491516,56.12703757103887,59.3835172267094,60.66418925202208,66.47657587408291,64.63836835947332,64.25109127383575,68.38117860697007,70.06111608633074,71.53181206795064,71.32276118689124,75.47344928912162,74.80608530472274,70.85348988700386,75.44078021397623,77.03695398806211,75.49590209175294,76.92819915278851,71.74196267347483,73.44549750724697,77.07227940261815,73.62358526493492,70.76377950001078,75.18856546187814,76.88015047682414,71.89876881125407,70.76281717872648,67.38591225692655,69.60102299297591,69.20527942501688,65.31034605872226,61.57401966698255,57.62958215944433,55.147133553861224,51.05701356819109,50.76786738949604,50.834458194048025,52.31634911890488,57.15352874235439,56.07001743305411,61.026332117868584,62.41095423693586,63.31957224239664,64.28947497868268,66.89640758511243,65.28569755043789,66.90598002410574,63.5891963434215,66.11359396781049,64.292687417628,61.500907878704616,62.91803310386438,61.17728237170967,60.78323708719476,60.450503537420154,57.70735205302814,58.19985565141448,54.16998340859626,51.505939781101205,48.222764580210765,45.74028449525906,43.19621060279346,45.996049530210314,44.12385280182098,43.08715494430172,48.82943014784904,48.85070810496581,53.177465563945084,52.490470223711,57.9407294339479,53.95257702896774,55.966262722838216,57.156142243489334,53.25685439048848,51.15770855382736,47.83657502734883,49.24781539585722,45.23453408007421,47.99928345355063,46.96151584122798,48.73028727348093,50.8417868314842,52.848895109723905,54.86095439556722,51.473958136948035,49.03363981086129,46.31529400628746,46.72769906396474,45.22122670309729,43.11044140468395,47.34734274176055,44.91644647119851,49.418188419448406,51.61796670789051,55.3915404969214,56.62613450333889,59.93567284526606,62.013309830293,61.05647359500497,59.23018351334043,55.2665978404409,54.500104024900665,53.842102637498385,52.68981888868016,54.10852602253001,55.89523505535581,60.01325848583721,58.04986149637743,56.13855073065815,58.44400460890155,55.2347462389159,52.8295430350452,50.44743788249039,49.61751000830489,45.25230749271309,45.1568316044503,40.961736854285334,42.74509096386406,37.3387157077673,39.260757850979054,43.4231231304456,44.54754570338442,47.041509137811985,49.06980413254849,51.45793491972773,54.143797026924,56.08824084175342,57.16463050687955,60.69868280819063,62.95533691361279,62.003170319953135,63.95154694494923,66.1573997558821,63.64268345461983,60.15063102046381,59.9786399264216,57.855370481849036,60.05141037446148,59.67026794472391,59.08744408776502,58.17642411246428,55.525320145438045,59.74399568612871,61.80318852401122,62.65086357410298,63.54067538259982,58.93944443253174,64.42104068135868,67.6444519249798,65.5447166681346,68.27439384478534,66.66993916893948,71.69785167391028,70.83524059248346,72.14214365401921,73.12419085699673,69.34622047423724,68.77588886886173,66.22857239596037,66.03223920118823,65.86564856841339,61.166461737047136,60.866194739532254,57.52447479036906,54.83080828840924,55.50005946316929,52.184155426184304,50.25465818544797,51.33472634653258,50.934658905748115,46.57293022390206,46.60883269315964,48.01695110325473,45.752265095203505,41.88582255740098,42.90757660130633,42.648147129877685,38.774125798840856,38.16917447248379,40.470016113916714,43.4191058427104,44.33710389331899,49.9632631848461,49.7769897600355,50.12812053015739,55.48735967114516,56.00689023622344,59.57405014672389,59.33182113332036,60.238583877437875,62.823083083426816,61.25847868610474,66.1629362915242,65.25524176700503,60.43502717242567,63.47086820703105,67.57509400205448,64.11304254873559,62.73211199997284,66.65926058451322,67.52424735226046,63.65367568261258,63.81260676049044,59.067516094407345,60.22849981145185,61.932634335618175,58.53202940979894,59.54355655591159,58.54354880755144,56.83308800908099,55.26799460283408,54.073652600511075,52.43985222182362,49.79649617772588,48.926630914991954,46.92923153395266,43.96733808383997,43.547887819197165,46.08517224825277,43.22940803503915,39.31282907908342,42.71597214020473,45.325938934893564,47.359583570736234,50.804158008441874,52.03639971217239,56.103727855354805,53.62338612356811,50.80981520396524,55.58517933784383,56.72748602781956,53.95997780286806,55.39336637661303,60.46539577684807,58.91701832114828,55.67147816076306,59.57938370321522,63.025837724357594,60.95865442472792,58.158738118347664,53.92104826595889,57.32349792653696,53.65411551829618,51.56202654738628,47.82845883288477,47.32145164858072,42.98580227895663,44.64288899977238,47.72824553344488,51.32843039887813,52.733264906008486,52.410164681632835,49.69006319290105,52.20520160975472,48.6904176964785,45.15428919800353,46.45914072264462,45.71534251978476,43.521629624353274,42.599835250595824,41.0054577548525,38.863616255450275,38.21714224844796,36.56683032141493,36.235193060900734,33.62651725231958,33.883623887609836,35.25714836430575,35.138366585552944],[30.150353507793795,33.23191822419132,37.289258505312844,36.65395842530303,41.091846527928304,35.325902300890654,36.90977743569707,36.632991184091715,33.72550639633956,36.67102052169824,35.538996903439575,35.69532364612327,40.41679786023792,38.463973911190045,40.330537090980386,42.88087746166647,44.92044455760255,48.15017007096017,51.747198243669246,54.59582682329084,57.79631583540179,62.093211429132566,63.156096618645925,63.66669697963631,61.311082765750925,56.89861949440942,55.29368783662499,51.078332254565645,49.648074312559324,47.646116243172244,46.64733581345505,46.38853663664808,46.71274512568563,50.9257711439956,51.516174112283856,52.0375264044716,51.71607215792043,55.135165460345156,56.591306990130185,62.39471491782743,60.725007869806255,60.12263654430091,64.16768056200405,66.01205043187029,67.61483368307569,67.5791871673376,71.6970766430035,70.83189316938471,66.96010785178179,71.6736726269859,73.05143541663861,71.49164885082443,72.76158070140957,67.61690370965941,69.10754881202703,72.71694065837441,69.32180424722905,66.31754358478449,70.66641613801853,72.48378689456999,67.4777209021951,66.18021090459267,62.72825642366084,65.0291078336995,64.75497189185982,60.854436343988695,57.175147067994786,53.16621825446194,50.83505249634195,46.64965214288192,46.507049374567096,46.54497214580818,47.81773463018799,52.676028562365595,51.45651477581149,56.28818122732022,57.75625431548305,58.52728873341807,59.597917906241385,62.303476926981155,60.75764639815686,62.56002111668648,59.28330613688477,61.98785253512397,60.267925131347226,57.28946982333251,58.57651180670622,56.67967914023066,56.248418716168885,55.698129285433716,52.973583850068515,53.36610799548867,49.34018789564352,46.65674104201957,43.49994556879851,40.92192846632144,38.53280786912111,41.292033152518776,39.55844114108648,38.56703418399984,44.341525687808044,44.663115272947124,48.92950178405375,48.57615821048548,54.19461235729934,50.438114477934796,52.67939691713367,54.072746587393425,50.3509050753812,47.96816208020777,44.74231963984767,45.86849310717742,41.76815408653111,44.549953765914054,43.25743638297173,45.206250541737504,47.07861281873095,49.29278435123095,51.017131907788645,47.44547435139567,45.18025717155233,42.506504115848685,43.30013766420505,41.82203146093211,39.78060073083255,44.224007192058345,41.89157542838901,46.36120650757558,48.67756508291275,52.21289478351051,53.842432474471245,57.08900897956769,59.067617760121244,57.821239064458844,56.15764106433479,52.13477085169921,51.788508396763696,50.91326350075522,49.74618746880226,50.85471734375984,52.71318975990309,56.64861098115287,54.43545215374883,52.55120824511469,54.68268393436421,51.298216830186824,49.04651393482551,46.55667375591763,45.83059097422241,41.461161097318595,41.477461678153276,37.079477081994675,38.84792900686801,33.362220369345074,34.95931913596807,39.188014005201744,40.344224660177936,43.05946188603919,44.94032503886358,47.676051393445285,50.480835223477065,52.153467371948196,53.547257394309945,56.89959809827952,59.471904679504334,58.7482135135291,60.8401263698418,63.22881037142019,60.89810766649428,57.305553209508375,57.028134654287626,54.66868461495775,56.614694045988564,56.04367602720961,55.244043019379156,54.23585011211235,51.39331981537649,55.560041164098664,57.7515042419389,58.71961372406726,59.814125517182106,55.3572289064108,60.958882183003226,64.23949349922263,62.13088583534252,64.6249978619465,62.86443144912652,67.9692159339889,67.309146812204,68.70648216016478,69.88411255553974,66.0459672097532,65.72305610104884,63.29478636175053,63.203240326698406,63.263027793631615,58.638028418089576,58.406717585580274,55.299006886427506,52.36256103099453,53.354304050809425,49.843246428638395,47.8596688833139,49.39972797576596,49.08000167583601,44.55977469253456,44.889418723843846,46.55308843032758,44.17161077765355,40.31157516856282,41.71944108326328,41.644374027872296,37.49483854427761,37.10550827319459,39.913548997765815,42.72478241807219,43.878402117951616,49.44245940799558,48.92291666441299,49.43406319343993,54.757569207613614,55.63647979552183,58.922494787644034,58.30705194190821,58.91166179720169,61.28405595459561,59.36858657232431,64.331042920842,63.73215502020987,58.71359980722113,61.488507930132776,65.808445100913,62.4913061731196,60.82965142609773,64.58300849773059,65.82616581770107,62.008727787298604,61.682182679463665,57.08000269627314,57.79754747436096,59.61410521906442,56.3407174800485,57.09468104202569,56.26734259766933,54.19087543312644,52.69543705972519,51.916793510112726,50.0650230058841,47.243721670554926,46.80367523540777,44.88790449659471,41.813192933579124,41.64275425214969,44.503530494147064,41.66563752632819,37.77038840749725,41.532749504465414,44.29557661036403,46.26593340855416,49.49562518425401,50.36654119317819,54.58917844208588,52.507707112513074,49.445122688219655,54.03164679693324,55.553782908483804,52.86313736959272,53.92599779857344,59.1908673731856,58.00271372252662,54.5390714542898,58.15833118440783,61.90600925013827,60.123148099685366,57.20218869237713,52.933595104710605,56.676289280914816,53.0648101888663,51.135319641671614,47.09635482601465,46.24707928603473,41.687157447040484,43.58034590372108,46.46111647237767,50.18045627392407,51.25836977425557,50.79993896266677,47.64637008208969,49.86966885758684,46.13265834416261,42.78833056304763,43.76285001112494,43.20298199962612,40.585962185376964,39.844693493092144,38.73104318506901,36.37023121942231,35.278490966986595,34.25157989092838,34.2677457189365,31.649409510880023,32.05037537466665,33.62913128677912,33.76445888041817],[33.29863690673722,36.154821242083855,39.9066576087455,38.882381346562084,42.965627867288354,36.95062838198861,38.01390311666828,37.45161797242106,34.13701544231657,36.654979999982864,35.04401991342938,35.14887180959884,39.977072634145834,37.877249769816764,39.20407631642376,41.88025989880959,44.179624855187775,47.0240017251897,50.59833763363061,53.50122969780235,56.53433882609752,60.893518844092064,61.88364435974408,62.612486145830275,60.43257119773867,56.025940668343495,54.63918618897891,50.49997115263802,48.84174963893054,46.86550746757825,45.14981553681118,45.27443270539276,45.176362075723134,49.16407036262678,50.14956870533148,50.8122781779438,50.849563609512174,54.3552220806837,56.07392792334109,61.93925388994818,60.33181442170045,59.30293050753837,63.259324016075766,65.29789710709439,66.96156592817728,67.23428898862326,71.27059470435186,70.21053247200791,66.60852542713785,71.49652462586941,72.61925713260855,71.13987336197974,72.1354781918419,67.05809554814947,68.28131072222806,71.736731409021,68.32432016491526,65.1555862408984,69.34801200084748,71.24894858645766,66.12828022444701,64.48826489856208,60.89592024646459,63.13227332319717,63.16838082155376,59.39527147414016,55.55979226805239,51.58612988298771,49.27023554612388,45.00965644856629,44.90558853966324,44.595098040742755,45.7696842725104,50.648223818350544,49.52374503629715,54.05152260195426,55.92675581334987,56.51224584110718,57.91743618024478,60.85255823083628,59.6111737909957,61.75652049397108,58.68686087830081,61.66420973487135,60.02264239656234,56.754149685888684,57.67513921408506,55.628397123158926,54.90269353647767,53.972744391798294,51.12081267280464,51.08981272736285,47.15433219119522,44.62134801244129,41.816099009797036,38.926464657876785,36.93684161904167,39.90664164253784,38.59433602959513,37.852094371717016,43.57920266842088,44.53571627785314,48.59916304759204,48.848867077952434,54.6584322341111,51.247213238932666,53.81320149154753,55.40580131145533,51.90662765368625,49.23382144986117,46.095683725177935,46.758258692509685,42.517973303807814,45.14031904226921,43.36302530152692,45.3650604600474,46.80840938378558,49.12583962051827,50.25465350272353,46.605582009853194,44.51103046436119,42.080857063285336,43.339195268786185,42.130278571344974,40.40322378554813,45.14748170302531,43.185172303975556,47.56415138399864,50.08085721935051,53.34595196509523,55.38386624039053,58.61016061412,60.37990562411133,58.85735905491811,57.26765402051252,53.13788857735571,53.22545261002442,51.95411362567251,50.606844048502936,51.37576977337445,53.026813699585915,56.69529896751268,54.250224232115485,52.570063009711916,54.52487648313563,50.997730485473674,48.992775818914915,46.51689182229549,46.08798610933112,41.79113667215231,42.1146018448652,37.495710363022496,39.293720594649415,33.77550042838791,34.75707179762125,39.03802910439535,40.15448485294179,43.25338054145094,44.76645420707347,48.05707392206306,50.86220697122819,52.04536878269741,53.74704940009998,56.89526995984473,59.84244745081502,59.27541397195179,61.661377219778785,64.15059669240927,62.104227382717774,58.3677721782287,58.091191107882985,55.43421077555519,57.16814330374442,56.432041375850964,55.37177861767037,54.32343636372419,51.14210780443676,55.285801819284266,57.5941787203268,58.80580424260417,60.096845556742736,55.948042681965504,61.66181125966934,64.96275249911767,62.77543247469496,64.86738796212342,62.80818266823148,68.00196841769115,67.4436719941317,69.09513062344291,70.53233990800028,66.69770796727038,66.72331910961817,64.48996768071174,64.58719508310915,64.93668489647098,60.3952670268596,60.32457508918311,57.47788784949004,54.36834264757871,55.720386907006905,52.07232382514794,49.998251423861326,51.948990946319036,51.76920013814699,47.132328749574285,47.61067400315804,49.55126211285313,47.158237802658455,43.27389846321999,44.94887850052886,45.06994870490792,40.76284491582323,40.44693878603099,43.60173034406297,46.264320894313535,47.645122396323465,53.04366228078043,52.35738686331976,53.02467529119529,58.305549777842025,59.43196739580942,62.521350121176965,61.65596248521611,62.02301302312062,64.21535854762354,62.00303183328807,66.99254212048625,66.65464615369551,61.47121855819847,64.00444061160313,68.48434240843935,65.27636491115769,63.36532131135534,66.94195630272527,68.47743291196025,64.69186410320293,63.907830581590936,59.50797405192127,59.84654322078471,61.801158721801734,58.698670912711975,59.204913418791826,58.554334619218054,56.12019177095468,54.70422711883616,54.35344457964679,52.291327766727576,49.32016394196359,49.306783049972424,47.47902986279558,44.32862735563424,44.39074430054009,47.50026846912558,44.6870658291567,40.86146927589088,44.86966669115462,47.71632281410058,49.63144889279592,52.67615896414792,53.24748384631408,57.574566758361854,55.81611093021074,52.561799911433795,56.97046431247304,58.77973371800982,56.140822770575134,56.87796310523788,62.2931306310355,61.35179188860963,57.6920573253284,61.06751186790323,65.05405929342626,63.44416259020161,60.40346915364053,56.086655420375926,60.001295322803195,56.38474709159758,54.682775224125024,50.403009792153924,49.4129728928823,44.69648556587573,46.60630302625134,49.336117387013424,53.09979385627694,53.95133037337448,53.50978369162487,49.95636108020966,51.94977511426412,47.95006037293009,44.92502948700147,45.64955953323759,45.33348304048173,42.287172051193394,41.68650528185321,41.1134531672471,38.610348202261015,36.99239832229726,36.58311214318857,37.01302269353344,34.448326680265716,34.94567968907875,36.58958424036559,36.865389641259156],[33.34086378170796,35.91836693901432,39.37039667873817,37.9112129557979,41.69617036266301,35.61331434981188,36.25176134730826,35.61641786138611,31.967690611587894,34.09133296408865,32.2227807167415,32.45066674303299,37.186236203399865,34.90507414555854,35.982940626852354,38.76390543482907,41.100273580581344,43.71106191178425,47.198218868689565,50.168470710863765,53.077463331335395,57.47847421963093,58.3929377038613,59.204660450339325,57.14301362155027,52.74069316836065,51.51070412517249,47.44069974954631,45.723906346618534,43.864398385099,41.77474871622691,42.23079811696807,42.00353275988213,45.82470337713716,46.945941293636956,47.56374906061353,47.86905357390917,51.281939794660325,53.10729699885559,59.03801850841179,57.37304468090747,56.10737391792231,60.037897817883824,62.136242288796865,63.787414626720896,64.23113394323066,68.20860565278079,67.07949721669746,63.6669563457925,68.63562504207432,69.65629922117479,68.27306081693955,69.13182410652674,64.08731678191245,65.25197252807017,68.56441011048234,65.08744807815066,61.90516203512735,66.03528510827086,67.88721979279516,62.69904284159067,60.93387140890157,57.307872121420225,59.44141419292684,59.59691355564992,55.915930549097105,51.954390329706634,48.03757419128123,45.67178605445359,41.41188681054742,41.286203678659,40.814851396293875,41.98526616476928,46.85952027102333,45.848516700146426,50.28913659909909,52.34191093666489,52.941152217584865,54.48634498985227,57.503042699165135,56.485910357476065,58.76361426497723,55.90776312731474,58.98407396769134,57.30192182756774,53.904059987008495,54.57066367050587,52.56428522174915,51.58219764198706,50.59228470567596,47.60329171375958,47.39804142676347,43.5170879928831,41.123114727913055,38.429056238058806,35.41758035971386,33.56037932191346,36.802078838348805,35.755893395285796,35.41208690842442,40.920641166288206,42.34726883972119,46.12630505925634,46.78630537033827,52.63036749857956,49.42752021750064,52.28564136276059,53.9169803111246,50.56772166377559,47.756859955064485,44.60843673045561,44.85199906477508,40.5012340808364,42.91030605518993,40.78583375241351,42.75317021474613,43.91929380300109,46.251850317552375,47.02485836785878,43.38173416736288,41.367174140298786,39.107743062662976,40.62228317159086,39.62439352264792,38.16559776754709,43.1016163686974,41.52412021061682,45.79989787813585,48.50044935373389,51.598696877038094,53.87001504096848,57.13737687809656,58.67164899991955,57.030596906674496,55.3828307453063,51.16398648756383,51.52619267258267,49.9233490423909,48.41858337340992,48.967399267448236,50.42922202747476,53.914742017231944,51.35801576976331,49.835537503617466,51.70506234531034,48.15070062494775,46.291628856905376,43.90927147022239,43.74046140744139,39.54602524529691,40.20998993830165,35.544931120102206,37.58025273446027,32.23274395142079,32.690482562924345,36.88377319369824,37.77923559820471,41.131389155111336,42.281088828709535,45.89473840767678,48.54666431298603,49.39408699443551,51.1870622777463,54.24049254757614,57.3713721748626,56.849394007356814,59.45752200542305,61.96975257221828,60.144991693284574,56.30998170223726,56.07451495824357,53.220363576935675,54.867002309761496,54.08836537500369,52.91895165825654,51.95402602622622,48.5541444131803,52.78051578042047,55.02561423258469,56.43089004400696,57.72009280611184,53.84736854881335,59.586968279423495,62.85388330350684,60.56559164433729,62.36528736396284,60.09943942999567,65.32442312265893,64.75294264558374,66.60103506797954,68.19926075640072,64.40781313513851,64.6812462831947,62.61068190685422,62.88288760832255,63.46816851197059,58.99369883408824,59.1218728488259,56.4975149043336,53.32914386036404,55.03870089634722,51.36880822755062,49.125181781788605,51.36799684320226,51.4336700789264,46.69943938903436,47.1370698946534,49.410177886912,47.19198130321614,43.14613709677965,45.017185538154564,45.435919346777744,41.02637211177296,40.6300330009501,44.137481902019324,46.58366838715659,48.320886986914594,53.377532175136444,52.594858259601196,53.51618161036176,58.76500292766221,60.22547162297866,63.098891165519866,62.08316359539382,62.175806527389526,64.25097742897621,61.768710706264855,66.7351167675597,66.56486979816658,61.17657360074736,63.516330324764326,68.06623604130826,64.89256078605708,62.75870255121874,66.1800888235986,67.88507087177634,64.10195639169966,62.92617182051252,58.75864887355528,58.88085046397873,61.013901766767155,58.15925075113135,58.557362602725114,58.21203589029143,55.44761511360287,53.97341121237592,54.07245602135761,51.9898382783958,48.758640855247265,49.032404064516115,47.472881460597776,44.27799159567924,44.356873242414515,47.79514781243195,45.1458080837131,41.263397453423806,45.3959474397522,48.418828375156295,50.140490489051246,53.060619525981345,53.30449891107851,57.705865318993546,56.21222971589814,52.658149267924465,56.904802221012595,58.937691850426475,56.294590930883736,56.66635484478661,62.24412112758679,61.47736041695523,57.574620115382324,60.71716903957613,64.93216724540045,63.442587397028504,60.25813049868126,55.88178615616472,59.92915089512787,56.29713695449175,54.88139925772596,50.35069118938125,49.2799808183985,44.43569601108303,46.28460261632631,48.858228604833265,52.63231876891294,53.28732401759061,52.93638242418081,49.04284385135929,50.89340615533058,46.665466280180155,43.98881455559942,44.662838856694584,44.65677381857016,41.33616343228199,40.65682891252099,40.57403000831598,38.13367935597127,35.95825286216683,35.938013086856735,36.884353752413816,34.51702725546792,35.14323468303108,36.846826127577316,37.23634606983811],[34.280916249793385,37.05884571540979,40.49559167886356,39.78267130428565,43.386051089931314,37.0303434535688,37.85906143330193,36.73016829876533,33.546537278958496,36.12837941929323,34.211736758433524,33.7788889241437,38.95441015570599,37.27996728780033,38.07737604807711,40.5728577012041,43.330075136096184,46.04725370685264,49.945978470050335,52.55410055293905,55.68900500615505,59.919717946904015,61.11848599847706,62.116314594363764,59.82710579931722,55.53013286679197,54.00725783273207,49.875957329761334,47.83157574127994,45.52960320103058,43.57668750200733,43.43147426372175,42.96764185879542,46.96574459662038,48.20482561048088,49.25185255265524,49.18392240076044,53.11516929717099,55.059633789326945,60.734187305889705,59.569822916095376,58.37613964471257,62.132273395797256,64.41711804980261,66.33317461930227,66.75606498231556,70.74253737889241,69.38963518347315,65.78245810488258,70.76279865029537,71.56314164279732,69.938082880891,70.74949509724361,65.77819817829625,66.60042746376071,70.1592208284163,66.97448633477276,63.53197153964681,67.5848827139455,69.81234586352967,64.75202913570398,62.89113341863924,59.187739653763984,61.69362131551328,61.90062555530566,58.060313365805655,54.50896793334321,50.398882096770706,48.4882924730289,44.09282467683019,44.320527897911965,44.051683191232165,44.76260716493761,49.619343943100176,48.12411606213685,52.355901658437325,54.266860356555306,54.48371134443649,55.98708499645498,59.04194030995373,57.70638990052272,60.085642331336835,56.86944522933098,60.07489775322505,58.74365356612985,55.282393090237946,56.20615607451364,53.77262519576819,53.27091707192925,51.87263934292343,49.25275562444641,49.108094785637114,45.18771820421671,42.50818309713462,40.00535625858245,37.017662233297905,35.39116238901455,37.87936183861875,36.66549904426545,35.518384458534044,41.46146251988205,42.48734136335569,46.70211040061993,47.150541693677475,53.143385743803464,50.02637049684685,52.56976297911623,54.4828952328066,51.224408318713394,48.26259653723156,45.44258281902614,46.081617007367534,41.95952292327271,44.7922185507895,42.97141523174977,45.30416008418021,46.53710473910111,49.17876600086621,50.07986764841911,46.13857057023002,44.366227792269264,41.93193174819396,43.62721221510375,42.29542368905802,40.4709191270194,45.2104027020769,43.02173242671388,47.31265956658775,49.72759615010374,52.66016498025843,55.09081822459613,58.06019325246018,59.93077054670729,58.03825116142305,56.88188358257166,52.85250416192474,53.36911235507144,52.1511587253521,50.996074332294285,51.43787039239952,53.38956029440958,56.85122904886952,54.10482589918947,52.34165978553885,54.01193251768324,50.23096979631484,48.42077693659929,45.67552823236603,45.15673265433814,40.86481788978798,40.96270793945969,36.149526418598505,37.465549027773704,31.793043175743293,32.63411371102401,37.02595923668038,38.50031487252052,41.66677353230417,43.281744226022546,46.82750701544952,50.018065901778996,51.02565683649903,53.2336295891302,56.066786223810674,59.362868874490516,59.18594103720621,61.52028804666126,64.27089883299439,62.31976488965732,58.600925176967735,58.086156198261506,55.29560042910554,56.61996459632986,55.57264281389867,54.2232837506843,52.87148518332699,49.6214504532819,53.446745776838384,56.10424917418588,57.29417231720255,59.00751742064969,54.86281158681702,60.67211518774042,64.0748288659739,62.04333827652426,64.00975371811705,61.9283177873298,67.16750183099037,67.02332852453225,68.58570392993005,70.17541727486727,66.21767266427702,66.40254778392361,64.21552996884981,64.27316494960067,64.71664106223115,60.308762918909665,60.08675818962285,57.42188988872667,54.02821802950139,55.41633124662822,51.537778216765204,49.682262064951715,51.99061122079435,51.59273812305478,46.9746983770562,48.023193504971815,49.85223938785615,47.067053538164195,43.60281492823031,45.57541951847535,45.54910042600675,41.12822072270257,41.30942424187988,44.61685965519494,47.28854334710777,48.444974112694034,54.10375539970801,53.03611973214238,53.560179587798025,58.695763007615334,59.875534002331655,62.76422469552323,61.51088234366537,61.76955835857057,63.714410201493486,61.328263822152614,66.36097658452397,66.33828883110513,61.21721178439555,63.51597364510045,68.20017222673584,65.26154437493555,63.217987096946075,66.63839189348893,68.57661627851226,64.95410464361646,63.88472935764985,59.49976209309763,59.33094032267116,61.182436266216925,58.01177989188296,58.172485440352055,57.382815575352055,54.81309838538517,53.674311308132104,53.433300538180205,51.029818855042194,48.23058564030949,48.60979070385394,46.566398793373146,43.39831632097713,43.91726235837935,46.96834655477305,44.02509969282249,40.51652588297503,44.78994222088602,47.50141003278824,49.55598007573985,52.319907828899886,52.74201871266093,57.114146350339546,55.69720910461455,52.5761879037633,56.77422773137168,58.865049561763215,56.43280529809594,57.06397879713032,62.44157274544149,61.87594826411531,58.29398029501242,61.440435146730906,65.51876577053743,64.23504000318376,61.27224056262403,57.08952574109225,61.26152451211294,57.84892616903143,56.042678029972116,51.75859711996354,50.36414652630575,45.62943149669459,47.9315180451604,50.45659380156615,54.28860614171123,54.85019129018317,54.06780883850467,50.341662933012444,51.948844067224485,47.98336085021759,44.9420543356451,45.07702542418493,44.663736163310894,41.30820226559961,41.23434696259602,40.89096307209833,37.995584394518254,36.42665762461012,36.698930377184034,36.978177193214634,34.23819893863681,34.75578938265842,36.46223471054536,36.92712740283397],[30.26268837170261,33.17760037664519,36.824768897035334,36.32615324834959,40.2018235207533,33.996245514360204,35.21569839710939,34.356264010353144,31.42941359764555,34.368605820327126,32.868189875612934,32.55769408038922,37.62944916414797,36.01441336431364,37.355278464960044,39.782519162482934,42.26631420633659,45.35213182954079,49.255989536947745,51.85601742562676,55.140623827482806,59.34233430828957,60.58871651818139,61.37179832914029,58.92839561951246,54.602549112210895,52.896590473832276,48.68224353608442,46.86864223956034,44.58134574889108,43.29160644250594,42.856112714108825,42.84722578970217,47.06316596753238,47.89374639287377,48.74559242877558,48.38573730562333,52.18444158254676,53.881688161688395,59.551639541396476,58.27231057283099,57.45483744241197,61.323707678537545,63.416798569877905,65.25961844181384,65.40976757881627,69.4803776922563,68.31705247839932,64.47623588995833,69.31590474169222,70.36802400978084,68.69660596221055,69.76394246948693,64.70691640777711,65.82586557557954,69.50323022990341,66.28840967472705,63.0246684288755,67.25002398020816,69.35410013580932,64.37518770772894,62.853879792269076,59.28863733940844,61.819783452871405,61.71528778143638,57.75696318894015,54.30197891572461,50.161505578389736,48.18468532586232,43.852122281523044,44.012781963796314,44.07540528999142,44.92676262256922,49.78374172102902,48.2376696027666,52.8189461007635,54.344603192602094,54.80360025455676,55.98026425499498,58.8120431146625,57.22484212289486,59.27203969250612,55.90561065255759,58.850242510285746,57.396719069257465,54.19300754081473,55.42715746246129,53.187411389128776,52.898419875517824,51.930022877055656,49.37163997175177,49.65041490517558,45.62699956064173,42.825854267789424,39.91797839417462,37.22801575722747,35.14534168572078,37.553543874597764,35.93838727300696,34.67800810338791,40.639186151681024,41.14543758212564,45.50309304256409,45.44359330180266,51.27902369626168,47.83839667230301,50.177221781069534,51.89451400601458,48.43011298390296,45.70023635648955,42.74676221003259,43.716099369495076,39.653238081943364,42.59849563297868,41.1520748976566,43.42879419959054,45.03474107301754,47.583947244604545,49.01121089318852,45.1382715428614,43.184351911202,40.5255394652521,41.82166130076786,40.267003589994246,38.18871111002144,42.73294748484315,40.28310961870882,44.672580881815904,46.975911731585555,50.15750638888216,52.26095239818203,55.293408149884414,57.295366891000796,55.64695768877632,54.36868786219995,50.38731520305897,50.553361819972544,49.611909796771975,48.577995353724326,49.299530023477274,51.40672795805288,55.10454134798947,52.55774865486991,50.62605221767655,52.47382969100257,48.820828021389936,46.77711790609883,44.03918219315766,43.296651297435005,38.92035336698704,38.830038148631566,34.18031600656606,35.604807057563434,29.954476366423386,31.29993867103306,35.65502056459078,37.082927731027354,39.95904970316684,41.847743721322715,44.93501601129594,48.07563269142475,49.4977213996987,51.40404046985027,54.44922388451585,57.42173896197174,57.08287710789822,59.20696412423457,61.8693451700895,59.69684372601061,56.06885959387328,55.570194918038965,53.00057858734746,54.53450142937597,53.65198957917747,52.54375098963561,51.27427666711242,48.289316400557794,52.21984268689258,54.71900791418863,55.72851651292101,57.21921017271088,52.82545179514826,58.55718634690129,61.93825990583377,59.93298410939746,62.22825540998107,60.37760273914366,65.55565334680678,65.2834023929065,66.65787241816095,68.03516156091543,64.08125310342467,63.98850536906501,61.65102396446597,61.58250094905164,61.82112063535291,57.32757913931289,57.021320873730694,54.159036050284314,50.90359341880317,52.078555359865405,48.30834068581598,46.45490331061566,48.47854831383245,48.04254527031344,43.46260570652457,44.35016710672604,46.0556596185838,43.33687715397283,39.793355418771334,41.60585142128491,41.51347476038794,37.15790654214603,37.24575276429883,40.40091706882665,43.1423597967303,44.23903441931888,49.945968646339665,48.99095995238282,49.475088428250714,54.66582147802084,55.75502776123631,58.75779964274719,57.689835854481956,58.070124193188406,60.163273061003586,57.95404700338489,62.97574735541185,62.74729197093978,57.678454410550415,60.15951308340944,64.72633946524213,61.67082376936074,59.779888841311944,63.33618369673067,65.04564096911874,61.373760751586126,60.60727887965656,56.08899737352748,56.23130689940023,58.028192919934426,54.77016952167892,55.156057993813555,54.31693564246171,51.965001642375,50.69698772066215,50.20171468676944,48.001857761017554,45.2106804646706,45.262387573068885,43.2352407406903,40.09075371480192,40.372348337051385,43.35018481331495,40.4309904777181,36.77632849798045,40.90702528266679,43.64321926159409,45.679119429157545,48.598290545246634,49.18378694924566,53.51285654026459,51.87021904816937,48.78517570876616,53.123302948741575,55.02910574090564,52.52685429515339,53.331652410475876,58.656946361776015,57.91244644856717,54.4047981343012,57.713663909478704,61.667797064152495,60.255844642245854,57.33808863360085,53.16020769759159,57.23851576369277,53.81472284840033,51.894986490002424,47.71858964391089,46.41226005167318,41.74471724538293,44.032830297398014,46.655007209409646,50.470693688165255,51.177604022724864,50.40805190386356,46.918070561722544,48.71916884605662,44.89545468295748,41.642128996511126,42.02409431894054,41.48570577451514,38.43111168603825,38.16343949743589,37.45889498886752,34.701838765751965,33.4189728716471,33.21425060958392,33.29372692422526,30.56455914658669,31.051237346434064,32.74663707304657,33.16998571190257],[27.94104637661459,30.603917651620055,34.120786958866006,33.0283500173349,36.894852724101185,30.78559715197821,31.777887138887102,31.20238186267092,27.91281462887543,30.55747035263373,29.08902761916945,29.20545138710021,33.996794328686896,32.02707922721523,33.58364432997192,36.17163629413205,38.38504807978629,41.45455342518416,45.14802428737092,47.93393602664924,51.122827053024515,55.40935216008168,56.51766348698202,57.18438125982469,54.83430161920332,50.45157939261744,48.87822951652721,44.68771294756078,43.06993311880754,41.04702678438049,39.76245554941232,39.65934267360303,39.878143655733744,44.01690919975461,44.695909238286326,45.24833564097158,45.09068915021442,48.55458998118307,50.16564722002894,55.994686546398114,54.41504889079109,53.57647476860373,57.55516641217548,59.528674257035206,61.22549670427212,61.3789313943699,65.44847560435495,64.41214602397234,60.6716539385459,65.50561025807461,66.69045105607525,65.16452976804213,66.2705932135241,61.160801425003356,62.517080661374685,66.05231491057953,62.65469346518453,59.56746418870909,63.86524300722348,65.72782039437173,60.684328200517136,59.27448185476929,55.78191874566192,58.11114699589426,57.91814683906266,54.026043934910575,50.370878032343676,46.32450017135936,44.10672425486018,39.85401303241155,39.83887251593592,39.89464783930526,40.97824349393908,45.840158978279405,44.5236221896515,49.3041218739973,50.80961424811568,51.54772551059081,52.680563077086994,55.449437300910105,54.02884627841389,55.97554700428784,52.8392279525154,55.68637254721008,53.99516549824503,50.83957030075886,51.93253000491564,49.98599994751573,49.420449732579016,48.78311427426257,46.01132570573257,46.36051294308279,42.33843288802388,39.6791576395218,36.56444556514114,33.93164738274732,31.610407893183957,34.476875993008676,32.92067434822657,32.24632164894587,37.8778155058217,38.66804012272524,42.695871260739096,42.80257941063022,48.5408728344798,45.06515514402508,47.68024634628964,49.21993790908435,45.73207546058651,43.0593304718406,39.88086967152933,40.50557406015827,36.26895064409361,38.93788277369536,37.27667679618648,39.364393043735035,40.93065438950239,43.333629327867094,44.72215212031226,40.98945859633646,38.9045940786113,36.31107474483042,37.53137511479903,36.145694901573236,34.280423584930936,38.980408795811606,36.95679341242045,41.32577479680462,43.850996032442055,47.09971584072376,49.17074509809485,52.39989510863714,54.13818296014046,52.61427124501904,51.02317972633686,46.90525721277402,47.05780473213617,45.82525579789183,44.57961538701694,45.3132656060881,47.17100297634062,50.869027542045295,48.40098555338006,46.59167352006851,48.54615515287083,45.01741954658744,42.94235683923555,40.41710874159506,39.905760835694345,35.59092180058716,35.92071502145822,31.3586175176127,33.352961906607106,27.98117901838837,28.979160767145412,33.17368675617787,34.15902676934861,37.183200143580734,38.72837845502933,41.88280545669727,44.661547761736564,45.965957183459736,47.63143286931002,50.80424304654139,53.69846020847824,53.17955980109633,55.48681010087372,58.03427279581065,55.974949408081955,52.25839976509218,51.91119742691591,49.26161762847925,50.964540405137,50.23603003536969,49.2320850922548,48.22546715274699,45.13110486379929,49.35025797131431,51.55711574301132,52.72014598035247,53.92766439295689,49.736829777190685,55.43406826993534,58.727318510854424,56.547099798470846,58.70987596430806,56.736292115512946,61.91087965454737,61.39430641876989,62.94783277525827,64.35440913880375,60.4936324168729,60.49774085604325,58.25866889813474,58.356314313310925,58.74350757555611,54.22711117011427,54.191003885116885,51.427039154864694,48.27989469672012,49.79093579195204,46.139852221445224,43.97133174741153,46.07701922072158,46.03287608824174,41.33012542161886,41.83468120815284,43.962863402115886,41.67760367463189,37.68767601201822,39.54773375196172,39.88320267102745,35.47365989767805,35.17444652278875,38.66071386630453,41.15023277315097,42.78875023230244,47.95986445809503,47.10428040774413,47.962617236143274,53.20389722888183,54.657056496462396,57.52152166036457,56.521336812384675,56.65599622313876,58.77813962339239,56.385049233674074,61.35465330956773,61.10445927495571,55.771632125139604,58.197753873408104,62.71187947288508,59.525937412033635,57.48266648672646,60.98238055225249,62.62308192644476,58.85524219765977,57.86608660895827,53.55891837909043,53.797220038409705,55.84050570582718,52.879238985485934,53.38570842993723,52.97254481229499,50.36090347077043,48.83530147810901,48.74640958436959,46.76676122450835,43.56635686539131,43.65868663787985,42.085463166086555,38.904061287740646,38.886046949062205,42.287401080483086,39.66030707734555,35.72086249143247,39.81969011594709,42.858204513427424,44.56484568137147,47.51913648575962,47.82449281700114,52.2082126633189,50.64907022553165,47.13430184697182,51.426068578908655,53.407196826737135,50.77366191129716,51.240985131167605,56.7698200425041,55.996186314935066,52.17766013470662,55.37325677582938,59.51938527708051,58.05516115921508,54.941322738771724,50.62562064681297,54.722934538097114,51.18128293495142,49.6088502226229,45.158748138793165,43.96628989025112,39.160514473989466,41.196224723074636,43.76739879102277,47.57005713467232,48.226201931663375,47.7234460461885,43.985114631191664,45.87057253625144,41.807010690184555,38.8804069330253,39.581023416965074,39.42427825972181,36.29003232783019,35.58893405792688,35.24179128724319,32.806297547730935,30.89750177920416,30.65875436918341,31.402065101877763,29.00288638546035,29.648811399957587,31.395883964026634,31.85847201572665],[27.151779632241784,29.559357866577677,32.48856542998031,31.82993219838668,34.90537623343826,28.35772741014885,29.008685064096877,27.641002584737905,24.6047899851528,27.444711402083577,25.67232879776142,25.01684034260679,30.282718722755273,29.005199917940978,30.006818289044293,32.279662511675944,35.03960973226683,38.094802831841,42.269616710205426,44.600211689936366,48.01084379940297,52.084904830230194,53.52146524535979,54.47303478297461,51.88744762732782,47.66533405998744,45.806210546520965,41.60070801081653,39.52199448603039,37.03633294784056,35.75510010139632,35.11919595296509,35.08476808534368,39.365830188353506,40.15906169134361,41.13652123851414,40.69582619568184,44.68723952578639,46.509196197678484,52.07133178442964,51.062411768950405,50.152981237097116,53.89606687624349,56.13001760030347,58.15091909414974,58.401834732088325,62.4318211423019,61.06059808726382,57.22193886313528,62.12685237500887,62.96476989864455,61.22659344474214,62.185689247314414,57.17988786693752,58.130011906054015,61.85230551853172,58.744083522602914,55.37038153740374,59.567751985102234,61.80821147228756,56.888561475423614,55.35688507856992,51.79389824487607,54.511129704317526,54.378657084656595,50.33176632582846,47.14999813865881,42.894482492027635,41.25410867252511,36.85547690538084,37.31507612091116,37.64848105240332,38.095645059197366,42.900129492885775,41.000647659333445,45.569478708798634,46.87990398437149,47.256121000142,48.330116111100985,51.13922100000147,49.4709392382825,51.5797427867614,48.196061257400466,51.24514479326042,49.91257695074128,46.59073519647446,47.81714790935428,45.440275736233254,45.2786546917152,44.24254773790336,41.82085283351973,42.28247628425687,38.219097535943035,35.27872135150104,32.33480082858547,29.758535388908633,27.68129654942043,29.80195762527407,28.171679133384306,26.936319508833765,32.866357047547275,33.594174395104524,37.85187394752276,38.08685334470844,44.03015406288015,40.86881723784105,43.462907099245214,45.379863235236606,42.19501931869529,39.16010627225237,36.38178875963431,36.98963724653708,32.934762958872966,35.92294687768197,34.31616425018372,36.88040847283699,38.25647854889022,41.11217655145429,42.38129006892003,38.249245292360015,36.59242631384037,33.90492677537079,35.6421506213646,33.98798448531928,31.905362568504568,36.51359939100879,34.13204678439439,38.363653417981645,40.73489103908271,43.55165130014136,46.11994324382233,49.01558112549646,50.88130213840047,48.90157142744516,47.86586637884294,43.901106724569686,44.61338183038737,43.50691999638006,42.58700249386287,42.89766176144373,45.25664261588573,48.703619204671284,45.86915069769124,43.875818403085866,45.46985502750215,41.62698357404193,39.75333371522607,36.84312104644612,36.13736959816434,31.81018465674512,31.80280947759766,26.997241876341576,28.440490295064002,22.874964164949212,23.756043359543305,28.10210285705693,29.522456549811956,32.57887945522978,34.32530935130651,37.70862990186229,40.991441752543,42.17269999865365,44.45411277236,47.24473603718975,50.52479401345881,50.52133026991889,52.69508368131694,55.591085619340575,53.63052692998689,49.96797194957086,49.281217911605495,46.49240028462892,47.66110109918557,46.54705703816895,45.21808394594715,43.83979432232309,40.726694476468026,44.587211964030686,47.184280809847806,48.2737284134101,49.96606598348751,45.7286273970513,51.537685436921585,54.95812890172215,52.98456902446682,55.05728347455187,53.12473789180942,58.33791098354348,58.35651681893958,59.72512965958498,61.283839177308344,57.26318141140297,57.42591448754071,55.23229302912185,55.26577210598394,55.76997910444822,51.43712900260611,51.213172066706825,48.71256066483631,45.199966709945016,46.81261010436193,42.878640376843336,40.95892941061052,43.5758640364503,43.31017695699874,38.62688382909547,39.88089194227371,41.923721505397026,39.201473108299034,35.74198115430353,38.049336940715094,38.28437977360552,33.73085062127334,34.09699176137631,37.86623126684251,40.25901475230223,41.70857388249024,47.05828310889017,45.6609713984273,46.41537741558184,51.42462272896064,53.075629221681005,55.58754621997236,54.05977538827365,53.9582522094278,55.74584897794568,53.06681389948364,58.070906641052005,58.23688065433382,52.93150269462651,55.01996176956392,59.787984937399585,56.946496699701,54.69377666315091,57.96382012223455,60.13409983733457,56.588998821324054,55.174162446071094,50.9327877145419,50.49780254200027,52.44587977336679,49.463956481910124,49.54833547436998,49.0738235494187,46.217485217194934,44.98124939208595,45.147758700727174,42.790744661916534,39.69162513529018,40.3275688637199,38.61275868480271,35.40236155366903,35.92742478643053,39.37865956927035,36.69686181177508,33.13015011178508,37.574530968556395,40.51297846164584,42.282383859197374,44.8309446981914,44.82548154458885,49.276545032617044,48.23210023483497,44.780852849126106,48.73932801992402,51.134520069430124,48.77260204914721,48.99038908213512,54.49583165528359,54.25938465484653,50.49332624824265,53.31419421655985,57.62080707489452,56.627470541502746,53.598335507158914,49.48391843969581,53.9513730111543,50.715899920076566,49.07554174530292,44.60234920625181,42.821629749648444,38.01306293482166,40.59212447433821,42.80431337019578,46.673175308204485,46.87644255503702,45.90882543969988,41.90798777597813,43.24103720107308,39.225478052555715,36.325006250016465,36.23363952473612,36.019004384283896,32.45244863492053,32.40470819211823,32.462742071651476,29.55189296497595,27.58354120947407,28.364691655219207,29.033282209496658,26.510961567470524,27.21132869599853,29.072188723441048,29.8578600585732],[26.549240428261484,28.56273479389437,31.186296441797484,29.82023191422853,32.69258262388835,26.229656716392586,26.41193264002547,25.232483188044878,21.65896215547079,23.98864323137404,22.043165390880176,21.827205619274547,26.837619661182913,25.146677370377226,26.1724348228871,28.66457349038929,31.248580373655784,34.175647491356614,38.16511276037031,40.68939837203992,43.97241968808018,48.15164133550482,49.44517812725881,50.35386796355358,47.89631198042066,43.617180825221055,41.941404411083624,37.771671944455555,35.80344034572372,33.58728157829342,32.08363008609709,31.915093375486055,32.000378611928205,36.14051221606333,36.88781242441654,37.59748275050252,37.474805483814364,41.15505191246373,42.97668917992959,48.72050846100057,47.4346269804224,46.377310037249735,50.207121617272385,52.38748153682041,54.29248174334142,54.63249523989815,58.64243083718221,57.33242539349611,53.65807806264614,58.61467348708791,59.50730015819528,57.93009173342385,58.85340387559285,53.813761690339014,54.92169526108304,58.45917218107842,55.166657754584705,51.91793571488983,56.14642237488793,58.172159269424824,53.15391447868071,51.6401929171904,48.107569792587746,50.61857095614329,50.47485996521481,46.51645416505134,43.09491515959245,38.92422643585503,37.06121581590464,32.69377283207081,33.0138040258999,33.27244173562644,33.89180424730104,38.72201979635656,37.050013827698244,41.75903903384532,43.15286311861155,43.76421974661782,44.88241307071638,47.69437368437749,46.27907359846549,48.387333994727214,45.29939706895873,48.33301004488214,46.782466863906116,43.41649060108113,44.39017925784909,42.267450954456145,41.73589939167476,40.93107888361693,38.248194028971916,38.678065424022776,34.62228435615073,31.859359447277516,28.777858346694657,26.163138886120198,23.92607686198885,26.63047447640327,25.207218605952058,24.751134715239548,30.260043581613893,31.521695136906455,35.32853558693916,35.944438988679316,41.82191821673634,38.75244200250161,41.72807339637827,43.51375538442086,40.399325112921176,37.34854946332769,34.39302008822873,34.469324708824104,30.206870010694956,32.83968064195361,30.83895522470644,33.24504060041298,34.4262108118653,37.194851864947424,38.23388829629047,34.18704758005268,32.47128065577984,29.9185394062068,31.772236894730067,30.368164892862488,28.618023783742135,33.47335949917855,31.671293330464998,35.81417842214514,38.465210632683956,41.238064692249395,43.89899655326394,46.9677647503578,48.494581426451646,46.556640764430355,45.236343563959906,41.11541206353323,41.96819806000179,40.447443651046655,39.27195555237563,39.46241166459338,41.52434790710762,44.87311636017607,42.02638780310181,40.21308684210839,41.84456696677711,38.0725623523612,36.25339407495723,33.55824403769419,33.19980992111382,28.97982547800917,29.542686005206818,24.79529242145883,26.879559549594553,21.732214396784553,21.933844031082987,26.058966538869235,26.94862645943798,30.29432475857052,31.524716672941896,35.16593400188565,38.06381810445184,38.95437941609418,41.10124255935694,43.94587949275419,47.26993896716134,47.1495471202194,49.59589507006109,52.415856238143846,50.65898972250344,46.87229421026085,46.32924364272471,43.36717581385931,44.62250889407291,43.608104732240335,42.30013705866844,41.18260481268789,37.847896044196006,41.999397317562725,44.32606639283422,45.65028039152828,47.11180179184445,43.191255576161446,48.98522439336577,52.316969162718685,50.148695312134656,51.96177402980955,49.813927157807335,55.05209789465536,54.869120003849595,56.48640848528861,58.1530238212441,54.22701594014014,54.59317089845558,52.56275431002032,52.81919974918667,53.559060615573095,49.24810735633597,49.34158880730505,47.03791765192782,43.60310507899029,45.64893022347553,41.83091271927016,39.58640682625055,42.38854217686072,42.554274240699726,37.77351405013118,38.68132670758609,41.19445740693243,38.93030681688126,35.08336732511682,37.47925291787973,38.17571250688905,33.612633632558484,33.62413466253529,37.731258172170456,39.80598558133524,41.80750682397268,46.541794114194424,45.208410454635725,46.34942028777113,51.34434158029372,53.37879068010454,55.697030114574474,54.188436872196675,53.79372887525517,55.54888880319779,52.63407117681312,57.55961221958741,57.77218571444712,52.204753669312055,54.15698245633126,58.888466494166885,55.968817564512605,53.51145284130191,56.65239582081163,58.83202951148802,55.224168731523264,53.46552834643105,49.517873029565365,49.06359369309939,51.28363830909657,48.66847049973755,48.800877289261315,48.80327493192401,45.615372812260794,44.1544445023529,44.848473925779814,42.6801484406431,39.16588616761959,39.95871991014268,38.74622095518005,35.533978136532134,35.81456515977227,39.69028403310288,37.34266322903596,33.58944412343851,37.97589890553728,41.175016229719034,42.593238548766415,45.09700106947953,44.74410322385903,49.226872565625555,48.35452989006357,44.47852399204416,48.301449853034796,50.82324394953233,48.37166504158928,48.17304609309384,53.86917596012699,53.67352229563551,49.589141991294404,52.208323237004656,56.73657134366044,55.74867981284147,52.521708054033994,48.297769798139065,52.79686003732901,49.48074776523503,48.24509580781266,43.49301097125215,41.79448036179193,36.872584334599836,39.186848842251855,41.268894860927944,45.099637477996545,45.1761418791675,44.47475550786333,40.141130542142946,41.46362175128675,37.15417310818191,34.72824432760854,34.87439413011776,35.136706611612276,31.405329711314355,30.949046887114072,31.563357644355676,28.9973377906142,26.22851521920858,27.189750176882228,28.659080896495286,26.57392041460859,27.447579818224288,29.341366681762832,30.197508087915555],[25.576679690041143,27.35081298325156,29.42952597336338,28.640300228403056,30.793765464322366,24.066458333683087,24.063335165049182,22.13504421112435,19.057103260079476,21.75473890731548,19.716802149477044,18.610687628874874,24.075508127559118,23.256923406389255,23.898053949152313,25.948521097331387,28.98575653402133,32.039551511589515,36.49851819645462,38.5114219606637,42.06599294602105,45.98146106759532,47.62270085063613,48.71729365820962,45.97175329635547,41.87939072018021,39.83633973179592,35.650859424750294,33.31418241513797,30.60809781524565,29.44668944536791,28.52191417351397,28.537481109996865,32.91980421228145,33.600948330762265,34.690385421101524,34.11355509562968,38.29350709988935,40.216104504546344,45.64923753057516,44.91310928306551,43.96125216957719,47.5783491870353,49.93229419310644,52.12454273392699,52.43898162054664,56.428614487462994,54.87232818628321,51.007967661419464,55.95482301577284,56.60757164425677,54.79346383498631,55.677773981503414,50.718838513007675,51.530664955809,55.308943061799205,52.31402853737241,48.855905563815625,53.040301388039786,55.397759188745134,50.56107071403968,49.0722663893473,45.542488359772825,48.452804168290406,48.24001917848436,44.09357517382917,41.233597912045,36.87136326628088,35.61335609652048,31.188227818916978,31.975966198199465,32.66656183878542,32.67183592913302,37.363196654112855,35.075877453761066,39.66000605207089,40.66925391852094,40.992372142713634,41.900495061919656,44.64704214864934,42.85678362278983,44.9845709872017,41.564059807824506,44.69174489563045,43.47108543610421,40.05752893135661,41.31593058390761,38.82240138367152,38.83335539758344,37.78875954273963,35.53815533566507,36.27265874406041,32.16835368586445,29.06276426828864,26.020055713380952,23.661738668693413,21.5281984664696,23.241137245126634,21.524855686860736,20.32686515707873,26.19850683372943,27.134052048480143,31.270729013678697,31.78835630286988,37.81204464732753,34.93687187819164,37.78292730133189,39.87536353237779,36.99563626042139,33.68261367920584,31.116113834440224,31.33186952832918,27.338370826298224,30.35209609534098,28.62728571976113,31.486993202223825,32.636242470451755,35.796269752622955,36.95089343776488,32.57526842327215,31.255762773054006,28.541139659953743,30.70134527770249,28.927295478166517,26.84551930483896,31.4245169240392,29.129123879872957,33.13039610401578,35.540415710404545,37.95986894362267,40.96886766473945,43.70676559137481,45.42522844776787,43.13734061466572,42.34487139416795,38.432669553306404,39.686564193693215,38.44589045354843,37.67536327225782,37.56936296589674,40.19639301818299,43.37422313985479,40.27586233865424,38.2080509351646,39.53212016816989,35.51764205430152,33.816873598691494,30.725211078156097,30.040902633852955,25.79757751712131,25.87866283560556,20.9566752751362,22.446800472567393,17.1190087626508,17.370991390440157,21.659174976865675,23.039381768628612,26.274112527762533,27.86412584523774,31.526134990348183,34.943572222415135,35.89778009980351,38.548682323099015,41.07360816119848,44.62969919701663,44.96376401570509,47.15772016531554,50.27205367984072,48.514465172523025,44.85006473297286,43.97517169010799,40.9981303749675,41.79112407186424,40.453506455079406,38.91704486365191,37.437086149308705,34.21633058736126,38.01365678153978,40.68967858041568,41.8461881479247,43.72003305528933,39.639204912354266,45.500387311341925,48.946513790973036,47.01220329803948,48.88308308551183,46.89350187990679,52.127805824239424,52.43061545054976,53.76691862494572,55.4825464647584,51.408192809617425,51.80129582104843,49.75003295054477,49.877091864621306,50.629360842202026,46.480683886910775,46.3394106842043,44.21643147970949,40.49844092476044,42.52877757001396,38.49858157446644,36.529666782445666,39.690956356368666,39.61063113013104,34.91664177985898,36.49228566631344,38.82628809204356,36.18529161384217,32.88689248966624,35.604557948252655,36.156207199760104,31.568727861820236,32.179354669279896,36.395892930992126,38.38622671272661,40.13910080733985,45.020846668950014,43.246527702355365,44.24790661760243,49.002032193453125,51.148900654020004,53.17826643481727,51.26510113628924,50.710312998507604,52.198994128318304,49.10418896074452,54.04002336033887,54.56186204851208,49.082090265111596,50.778033611586174,55.685809985529204,53.06426846504678,50.4905291062737,53.45951953917898,56.04146251557052,52.64221512101922,50.627345033084644,46.695604726962394,45.71529029096668,47.800385713810826,45.12993234737349,44.936636726583615,44.84861442881713,41.52677299762369,40.31444247907781,41.14713082176946,38.69845151139834,35.3155680899655,36.51521972292488,35.1802532005126,31.98834464031522,32.711753015576,36.55441981616844,34.197655278925836,30.81533399488386,35.399837589212446,38.462156886861486,39.919139858610286,42.07093766834183,41.49411395025484,45.98748336876926,45.516276214783566,41.76497931353686,45.29555038432638,48.112189884152016,45.91131844610485,45.565348583846166,51.16952247769458,51.40134553537006,47.443892488916404,49.766924100259054,54.354304473936295,53.75458645301147,50.65940530102015,46.66437163637298,51.41641085530387,48.41395463209424,47.058506402022,42.39989438599247,40.21342148806505,35.393696255959846,38.18120267466709,39.9497898592427,43.79177551595484,43.512399673537146,42.37070005179151,37.9405817801255,38.78600907770084,34.63621358466075,32.158717212787614,31.591416706856545,31.73556748135819,27.7173109898141,27.876152718953524,28.74691485541157,25.7935980433509,23.120583499321615,24.93999845086737,26.214502212276578,24.07265409734191,24.954172787588075,26.872634783040954,27.968975553475765],[26.6012776470382,27.864712781701858,29.423968682900348,27.963183882001903,29.606990566072483,23.04524308621029,22.300224726035367,20.354174080719876,16.702027192867035,18.611566177427303,16.120271110076164,15.263257567307033,20.561004201245517,19.458197330856553,19.7614609895087,22.000295932894474,25.071275487911343,27.874596877127303,32.26074135353,34.37000390361914,37.809392641215695,41.79791467509736,43.352642009232554,44.51492796850037,41.88618111815923,37.78003660763768,35.91207547729015,31.78936642400874,29.395678001952493,26.875458942976767,25.279063809983793,24.841405753141352,24.8273180901242,29.04491286396548,29.790527379168104,30.72051849538381,30.515396715858405,34.50057134781222,36.53500825798254,42.10843173777391,41.222734755027076,40.00305660290404,43.636525693666215,46.033712463460915,48.18987260660998,48.682816666292986,52.6197596083745,51.015635271948575,47.36061845207398,52.40703871987011,52.98753556911181,51.31717891848891,52.07431692416626,47.12033278238072,47.95434442385736,51.5446418715914,48.412397120165075,44.987830257431376,49.15445898307933,51.38643582589425,46.44687828785135,44.88020102472769,41.33312855115402,44.10954187554133,43.95934482328385,39.89054954819685,36.85868513539772,32.533651873767084,31.200074247171084,26.750633335486825,27.547103235977076,28.179178699920104,28.1459665980508,32.8528731130308,30.66080764441404,35.29603569285524,36.42228615838087,36.87824178407563,37.888289899627495,40.69875979322703,39.19096597559507,41.429545933176385,38.32706330790892,41.538141433631175,40.18330405940964,36.62235206770149,37.54967754031286,35.19871906031423,34.831355337870036,33.864309834036106,31.37647482381859,32.02936812087266,27.92782896320231,24.962682942853316,21.86311219086859,19.39971993871242,17.225593005607468,19.476944842016312,18.11773532858052,17.85663407734441,23.20958758025824,24.944849233200646,28.511071365196543,29.65042090496785,35.63165427305023,33.04191355194137,36.33728008364187,38.382349662083584,35.72756575321068,32.31414832003251,29.71241194543871,29.221405426343765,25.081038635626516,27.68078250323621,25.42157092829687,28.222670148991376,28.98183547327928,32.1744486708284,32.90534698345107,28.505569017822648,27.30168134261431,24.793425833173952,27.33347384001722,25.852590280270405,24.20283000385821,29.008949741575176,27.39839029673092,31.164251168766878,33.84707717724358,36.03062343691147,39.2942730374554,42.11108037844415,43.440874910034225,41.064506522119366,40.11055796359818,36.081911099970704,37.68627864839811,35.966801947332115,34.97152292259783,34.559294138142576,36.923050300206526,39.8566990415594,36.619387379672574,34.755938954335335,35.98175276212677,31.945760649709932,30.429889303450437,27.502395919894738,27.24812829392936,23.208004611540105,23.952576740890127,19.102640492983067,21.182746400353636,16.559385968937278,15.663636064701084,19.595679784089086,20.396145475157304,24.05568148844588,24.962038703758452,29.096308600972318,32.16938672749032,32.641466871483196,35.35681607289402,37.78790261140979,41.54950263610741,41.908875613712034,44.4061620394308,47.514926000217535,46.058477463149366,42.27773377356436,41.48832640508526,38.25918960356221,38.97008167304817,37.62250790241604,35.981354735910735,34.70149124234098,31.160955737592577,35.17754873855691,37.661262275117295,39.10984576151295,40.87579388285651,37.225397419920384,43.07816218944956,46.44223519582548,44.339050683262116,45.820906549771976,43.55232697673353,48.82636808528743,49.055710005865684,50.65996783732744,52.56407633955469,48.57424519089122,49.279664869331384,47.45900303175337,47.84159019766952,48.910496998798486,44.874182760955556,45.054170372212894,43.253162718463045,39.56532512612836,42.0906351379167,38.16787829365658,35.93270268174029,39.38964026731258,39.72515720179001,35.01245252753936,36.362305651575376,39.13980076256672,36.92510543969625,33.41019702334395,36.251588347300086,37.235758713351395,32.71267966835423,33.075776892329316,37.57931521639277,39.20791087513033,41.43935557964272,45.680878986254186,43.89756049873322,45.25031478578617,49.891050624079725,52.417824209653276,54.179276350770934,52.19973526664395,51.307166583614,52.67065027616615,49.29235906473648,54.10801566422473,54.7767203698307,49.0799878831951,50.52919600981283,55.421588777377394,52.82081529136279,49.996869478334744,52.74023198591965,55.44545417616296,52.05789798652927,49.57138928506235,46.02272471213041,44.84751762607893,47.19141986725319,44.94702983392357,44.687191475177606,45.09529083239656,41.38371254720786,40.029174117155804,41.496782674344345,39.177342045428226,35.437347950223995,36.939267617872595,36.11625064030817,32.986361333105435,33.577105741217515,37.77678843438496,35.780651053052715,32.37711284929918,36.86929425846331,40.10327609952867,41.212706843658374,43.20378533091211,42.21812718922523,46.69938022201193,46.51889980668599,42.40632632080585,45.67552553414341,48.6810078252424,46.47112461752677,45.64385683788016,51.382775752912394,51.76579366358979,47.53119556729301,49.53624280145217,54.35124678613057,53.8581729106672,50.600946899857966,46.57321633464934,51.376673418453535,48.376563678450054,47.43916102378565,42.551166573428354,40.375460484481394,35.51998666430021,38.07865078159541,39.609395857001765,43.36911066734485,42.86079956814491,41.92389722489517,37.11947370790928,37.793559932258674,33.371353276530975,31.513591090846255,31.001312029619942,31.675931062135515,27.430453486317724,27.312907511733663,28.92184593151224,26.316395807509203,22.79451269555773,25.065507134795748,27.138193179168667,25.498840826469515,26.529900818675312,28.44379935068091,29.616842174141894],[25.999538472996168,27.22525451905437,28.543015137055935,27.676610218972876,28.96107036712305,22.25710203047993,21.59643817114723,19.1144412430592,16.086103802298588,18.48360292384733,16.128535422920773,14.451218272866022,20.103157924163273,19.801623623803962,19.927645561830403,21.718736525508096,25.082290110994474,28.047798684459366,32.75706145201283,34.452731299660925,38.107322937853084,41.86523641966841,43.684006104902124,44.937289309709925,42.07900336152625,38.128876855760275,35.950877531142446,31.820960538365267,29.20292031177177,26.272874266359597,25.122793797160615,23.931529775784014,23.900542645713266,28.35006504876279,28.99673637043443,30.2455188691864,29.570762049808874,33.966190269986924,36.020866960641754,41.31129706915398,40.85991082135973,39.81849364201595,43.287818008469195,45.776616182159074,48.1338215259316,48.54020371117397,52.47178830861059,50.7258686475372,46.87240875582863,51.86591656740002,52.31113530609692,50.433770623230124,51.21209849662628,46.3176993001875,46.94866659103323,50.76524939992064,47.88586518434672,44.319746063365976,48.46216703621171,50.9522836446731,46.1872017067976,44.684936112986485,41.165661045692794,44.25465107705598,44.020857477464126,39.80746576315072,37.249712426084734,32.80496409045371,31.938681430627224,27.512077935356878,28.628211063394506,29.590592398289626,29.145949501941562,33.69267796822091,31.04960397284901,35.56254679805867,36.34683286722419,36.56594372526559,37.36906999786018,40.091408624669725,38.21811835879689,40.41656198382061,36.975667839227484,40.214753731685995,39.13579717515629,35.60132589259772,36.84865171128564,34.19960927105485,34.3572971037103,33.219880733741014,31.14032015286234,32.06447786709696,27.955130972098036,24.706694033364503,21.659300381320094,19.494181870534337,17.4278175206075,18.64341653381514,16.909983085973778,15.736646022757908,21.550670708433543,22.78439871210331,26.77446834749043,27.647199594082913,33.74206126888729,31.21168376078272,34.28383144274937,36.55027174950675,34.005216651744945,30.445292048552226,28.147742180911703,27.962934880518652,24.09703683174461,27.079376638474532,25.218543738493825,28.33758303498772,29.200228673961178,32.625691084796536,33.586281012576436,29.011221877298063,28.061171412775725,25.398334527308986,27.98287049923181,26.161525144353263,24.15691286787127,28.63175095716845,26.477203839023613,30.178479872132126,32.5932336912025,34.58625913969614,38.006261221728224,40.56152046822582,42.134949002641164,39.55017697329881,39.01437234968319,35.18449392983715,36.9502805863081,35.584991067012716,34.94810452943447,34.434233932609246,37.26002876184693,40.141048498735536,36.80164893758983,34.70130921969574,35.73897516177741,31.561287029788698,30.076696401529208,26.82525653321382,26.19172241342251,22.099900197895813,22.27545367683857,17.29440529483426,18.737173362135064,13.823179881774088,13.201692478387839,17.37763216109821,18.743234872161338,22.1822544526186,23.571443415422852,27.563117686770447,31.11102454248429,31.78441303721476,34.824236650113455,37.05169414837955,40.893077594032235,41.554254547993374,43.76901056450184,47.068088193628114,45.51968410059783,41.87618024353516,40.83539753199665,37.691752486213105,38.10436879986798,36.538009681588115,34.77401954226251,33.174503855417086,29.827010132548363,33.51507454686752,36.30434661029268,37.538407848570145,39.621982579772684,35.72969960493445,41.62098444928261,45.08385440091736,43.19904322140149,44.844923443651794,42.78402428692756,48.02971779051069,48.61407741579012,49.931773077239896,51.800635460904985,47.6932681778467,48.312978835777855,46.410390992127795,46.62632680814474,47.6061994127854,43.657636367241984,43.58323587256335,41.81722335380128,37.94292599463226,40.30957549621371,36.22962735348484,34.26700947490661,37.86883055559583,37.92473103159459,33.30428475378188,35.15537540061469,37.6732547822696,35.11176496380063,32.04721657974012,35.04129782509525,35.80890306720123,31.29753371168157,32.108055951060834,36.559736121351406,38.218737218325955,40.14657558417171,44.62869111191156,42.57524806870361,43.735555210895505,48.22955306961811,50.714449074035,52.357146838132735,50.14366356387514,49.23899317170639,50.45754317274893,47.04578008202042,51.88830323563516,52.718651816894834,47.1538725927284,48.497529829232285,53.499404401488505,51.09381618130426,48.271714444052535,50.9577896151653,53.88509137626139,50.642338680805736,48.13039329566761,44.492850284709405,43.02383526245513,45.19705871986236,42.80505081305586,42.344561340091346,42.5617553789792,38.87020136062414,37.724985089113076,39.117723219563494,36.5854275825083,33.03678425642974,34.735524103825426,33.70887936486719,30.599136554991244,31.517163594328082,35.57806053051329,33.505197420079966,30.382064349355954,34.984828360206926,38.06414171826727,39.276681841563786,41.066890389464,40.04226187970391,44.51550976615878,44.522023358822395,40.60540379931902,43.735480437736875,46.87158619587245,44.83708918988591,44.048038758604704,49.66698897529296,50.28471473874469,46.22742108980527,48.12030486041471,52.89382548748067,52.62335908408124,49.50865796570271,45.656516025912204,50.585754265184654,47.79926085275332,46.66831027609229,41.936016694700974,39.4580603976071,34.71729722873098,37.6271126962684,39.01183395859631,42.77807705363531,42.107541591681915,40.826265839942714,36.09412239166717,36.488631875695106,32.28213010618815,30.229578293037008,29.20467516030487,29.6548353556624,25.28965497658235,25.688669421834646,27.275656618279122,24.343352840666196,21.13680044594726,23.87758829298064,25.58622014540779,23.814427300339545,24.807550816056104,26.70989396823269,28.003229526982015],[29.344143854483264,30.56744454802888,31.69262907237442,31.133683845820094,32.037478378890334,25.36211768968764,24.509019465568457,21.54289515454747,18.88934267765351,21.037401418935527,18.37313874452475,16.0538266098475,21.798472853762092,21.990485988438333,21.25073083721431,22.74987048660069,26.62701124816113,29.197675766229978,34.1040196735555,35.47109279321843,39.09771402749048,42.68161162691725,44.65403142300232,46.210386182532694,43.35506462417712,39.58853876744154,37.39790282188559,33.41279472680868,30.386731837097777,27.162951752524357,25.489182519086572,24.084968194247278,23.3606313192777,27.70380111367082,28.825793113414182,30.60305261012076,29.920254804915633,34.769954656259586,37.108399156391364,42.11053577342911,42.145508211969,40.835454535119204,44.017596561660625,46.780429430248255,49.36090560680538,49.97959175241816,53.79329435428169,51.745905508212,48.00652875855876,53.06554442849869,53.13200421547119,51.14310907124994,51.659035204389085,46.94304312421346,47.061387474970154,50.91991245664478,48.30430724566337,44.429738011281444,48.336288745173945,51.182802228440266,46.48811485357741,44.656702785075126,40.9997531129536,44.33120379952003,44.37952925510179,40.19083294459217,37.92121174103235,33.4270196664054,33.01963602747615,28.551210293915922,29.990122708921856,30.81553284178699,29.87049362508864,34.2964710137869,31.331945444842052,35.3229801260191,36.284454131194494,35.99645721804645,37.02282290376786,39.93746643783364,38.05726096959666,40.609221549992355,37.08942865117596,40.62574253435869,39.93911628789347,36.16916085338027,37.298359415704454,34.17233840126187,34.51589239987969,32.67881495936349,30.87724663641606,31.498908904582063,27.483389983623404,24.125056870114634,21.71610849174159,19.34712578285076,18.102144818174157,18.55665334597942,17.21896579669022,15.423155790193245,21.448925071562197,22.93657051663496,27.012287873911436,28.27305928725473,34.49747015976516,32.44154079233667,35.43976727307134,38.04457490884574,35.83690083859585,32.03630385788584,30.199078616647682,29.960613495238352,26.391177473196528,29.427257078912817,27.512076143384782,30.813525925246026,31.325464423649176,34.94832293714191,35.49122581152387,30.770292919559733,30.221956401633708,27.762716119594906,30.738252741860688,28.972554792701107,27.059343361666865,31.361359246745653,29.124211256587053,32.574907107675045,34.81457392764507,36.37788984599498,40.14425350527318,42.38131240176589,44.01363586031595,41.07208348293908,41.00401395572692,37.36047062086126,39.515105833516785,38.19267371955421,37.707396627770706,36.87720771196719,39.8183481054747,42.39229793264022,38.82133632289335,36.75982372105338,37.449448178035574,33.091279676887474,31.928657153729485,28.50904952243406,27.86342165392858,23.997102922530832,23.91563778027087,18.937411999601487,19.51524076149192,14.642458860592162,13.626352690771196,17.776239962494778,19.66700939470925,23.134208379148905,24.53024510132551,28.833883355037408,32.73023686881635,33.07694390490064,36.64695613733393,38.44559550857503,42.633363356818485,43.6758719397239,45.85020301262633,49.33173131730908,47.93101813743504,44.35769176075384,43.13599611172097,39.904606960057464,39.874453653950006,37.990852511580975,35.892521642402734,33.95510388522743,30.52491600610188,33.716397167433435,36.9269159711394,38.16402063215077,40.73857411306205,36.98153886989085,42.87859329462217,46.39572194103635,44.69169599566049,46.11177080835434,43.99916515552035,49.22816026272565,50.22581688880813,51.489665059148145,53.51983007009283,49.36058877119612,50.169359711692294,48.365644077460914,48.55794610166961,49.6280041177959,45.87558756098575,45.660523271404806,44.097886532161525,40.03175878236009,42.35992736656026,38.135495944225966,36.46582739732532,40.29393763377259,40.10893083232036,35.63552234762611,37.95732855136353,40.26454402369803,37.372294238349795,34.797155730799126,37.91114144674468,38.46896539067449,33.994503691031625,35.18631793027384,39.550772405078455,41.24807530382801,42.8875016619296,47.584307852130515,45.302940205386676,46.27102485813598,50.59034858178295,53.00223526336793,54.51826907662134,52.015448977696614,51.07563673329556,52.06017009688841,48.55537286740942,53.385192270268895,54.49212443934302,49.089943342057566,50.206122081466056,55.33616524313269,53.20921467911471,50.32655847845175,52.83592171432476,56.08746811626781,53.03204807863424,50.325937359578866,46.75319360507972,44.825545716808975,46.847126373463745,44.40237990437041,43.58188024577219,43.60849253478094,39.84612727172258,39.05220028263071,40.49839622086754,37.622589002107965,34.38130087884875,36.44961639029671,35.16481425392391,32.12118715560179,33.5073314614766,37.33622061834785,35.13554771674583,32.426462080477876,37.13450083858724,39.97975218689605,41.35357203128838,42.878448210108004,41.79148951998772,46.221741862652514,46.501459683012676,42.83594428635861,45.74616678062874,49.052892940251574,47.23049221749626,46.42759606699217,51.90282014713416,52.80107693781496,48.9057154578244,50.615401531683524,55.36918975542569,55.34434136385333,52.35078070392192,48.66267990894417,53.68291827872984,51.06082794011995,49.82871734997669,45.20812682410201,42.519590562043604,37.88954316075418,41.00139235307101,42.25283606017878,45.99499335747838,45.15596335375767,43.62962278694976,38.89705190054744,38.947974483738165,34.89984304847711,32.88691717293795,31.298590475171522,31.596980561802564,27.05976481344137,28.05788862596869,29.75726595131271,26.521046264128138,23.613253392765102,26.842267147490727,28.2252260432577,26.28882816566531,27.192786260433603,29.058251234273904,30.353793594150613],[30.44108141818398,31.830731775441464,33.370089387589815,32.17265070100638,33.62744353388689,27.013105769290764,26.157220879637062,23.804814417675967,20.391696132034955,22.084619377187774,19.236651614015123,17.85027288069165,23.29072930864796,22.49621868720586,21.93267487093034,24.01795453497799,27.58037590891669,29.924055065465083,34.431531488403365,36.33990482086883,39.677934567987165,43.574885529849105,45.20081741631183,46.668945844628034,44.125814646944804,40.14976223441792,38.37112995823906,34.38545458107351,31.61400679378352,28.883107163871493,26.549817573151863,26.130750556115395,25.351637954405266,29.38523945905666,30.720272714927066,32.13544849435557,32.07069722123359,36.4451487788111,38.78703865555042,44.160457351616486,43.65808978361555,42.08916368957739,45.47579560060552,48.14669351040446,50.48291426224524,51.23358613797841,55.056626804665925,53.172310170371034,49.69248700680696,54.838690464624165,55.0599701482282,53.326235038509566,53.79636377949058,49.004459765416286,49.343116445187384,52.91197542292694,49.98082337485011,46.25235297391631,50.16873786083561,52.71375281823597,47.77864811698559,45.79939912378523,42.069338019083844,45.000993294818414,45.220312153630985,41.22789644481727,38.31953840889891,33.971008467675965,32.964264162949895,28.433145076619073,29.468669794411202,29.776644790094988,29.34689750240529,34.00654188049378,31.63583571724264,35.712031674585845,37.2227078897859,37.179803442371984,38.548277619743395,41.62676069153995,40.23783155054931,42.89003025605776,39.78233523599758,43.31732111193329,42.298383182798304,38.46702522879419,39.17759230382158,36.38747396134924,36.04371518474552,34.33169222303585,31.987260692136935,32.14624347945187,28.141970228382938,25.16091108076433,22.765784494497026,19.90015876090929,18.619187456448426,20.41662861513372,19.559843119621878,18.853989657216054,24.410743905629918,26.498197587207297,30.124638685254784,31.68596278535889,37.824225905870726,35.64799393803302,38.89740042826693,41.24760130367409,38.85265221943281,35.21691998029321,32.97207149979176,32.43926497894992,28.49345902511063,31.130522329243146,28.737680799087318,31.666004246131635,32.05845455381974,35.39799335384957,35.61855457096034,31.10849585374307,30.241990407347025,27.982647152365963,30.90817302194772,29.554221514744295,28.033964573366042,32.769643101324576,31.110101857292477,34.7153979817771,37.28253079881385,39.132890013001195,42.69507869496005,45.269578369279444,46.64815118236935,43.962634165113506,43.38250851029611,39.47467306540561,41.39658552725826,39.66518099921879,38.735417930311336,38.05748858255152,40.42661858016411,43.08384400868763,39.63365688459112,37.86856660828679,38.801004210467546,34.59743634937432,33.38847178966367,30.34188736446159,30.13778236290939,26.260572737645315,26.81600326184913,21.878681364181993,23.23916852430554,18.467918598599624,17.292671027122342,21.302915201626927,22.561661476340184,26.322859453657873,27.19509153352914,31.688191926116563,35.05109117251405,35.17119529933314,38.35625356506892,40.42065228684989,44.523824003637834,45.1848730751628,47.71172030704119,50.96134297178988,49.649373116734964,45.89562096634327,44.98400019309481,41.6487092450454,42.00394806296615,40.38497491901659,38.43087097409199,36.86631689160191,33.182637444376695,36.78543843187523,39.65071378583147,41.15225594154756,43.357133331761375,39.85431353633252,45.73719423844286,49.153041881751946,47.180133629118,48.41496311788607,46.0357182301851,51.318597345954075,51.874126006346195,53.5023241975298,55.57762735091182,51.54989095486078,52.451399907536015,50.72521674961736,51.10479525791196,52.25722134995642,48.3618220319058,48.427656604700005,46.76347262501658,42.90592541466523,45.37369054155483,41.30022881707747,39.309441511346776,42.93244435488868,43.032472080720325,38.40356476424172,40.14097504767058,42.71941138881773,40.16902747740136,37.02894223737865,39.94974977462781,40.70427477724137,36.16032761007862,36.83560884141596,41.24328099915102,42.98974560672707,44.9323243649527,49.476349146125216,47.5378223481268,48.689930266383094,53.24801147468363,55.644541359436296,57.37795892550968,55.18227290008097,54.32092350830685,55.51936625240795,52.09327122367254,56.93160851664116,57.81143870922413,52.254353156148674,53.554068891314714,58.56932606507979,56.17901842426509,53.323390876868174,55.95360293261869,58.912698291893214,55.65598841320591,53.045998104918006,49.50885448334528,47.978211161105214,50.18927908264887,47.84911922474809,47.29089925261755,47.47416391312323,43.7325506213224,42.68934000524781,44.12795159960636,41.48089956825915,38.02999720484112,39.805210364064905,38.67208348747198,35.55743932652639,36.559036150816695,40.53360182745834,38.3350905356509,35.23508050294035,39.86914596715383,42.899909543922874,44.227019477641065,46.05634203450813,45.09614344623854,49.56833489245427,49.548696434507605,45.68003736429338,48.83955714208162,51.95918124163734,49.901316489602856,49.13661400682004,54.77026916042039,55.33895862509149,51.24676293593702,53.169030730662705,57.95672565464093,57.620746098177676,54.45822775030565,50.528401782028936,55.3926068573291,52.480078698195676,51.415166709330066,46.61626705761881,44.306229243541345,39.50165161836377,42.22060091247459,43.71444007698097,47.48204072621441,46.89078421906158,45.76927376625819,40.97496118338985,41.41324042207721,37.09661217900684,35.209984922603034,34.25268724172833,34.751331650812084,30.344721768124863,30.73871832915054,32.35857659695898,29.42754686981568,26.21215911873963,28.82289539093888,30.537554297578897,28.63363547914427,29.568885268179166,31.455291927012766,32.59400077541151],[30.651006180478426,32.5469785464142,34.69367953387093,33.852400236030974,35.963722255075396,29.24393097789798,29.024068642136115,26.910157950161008,23.70394453281897,25.92910597214385,23.422437391102118,22.169302495908052,27.674237049025017,26.762918006460197,26.646063435032598,28.776526297520896,32.17215248274702,34.699471134737244,39.12332062779487,41.152560999248315,44.49617590134614,48.443818542087556,50.01961399698417,51.38182808408479,48.845122756100665,44.79600533900649,43.00275884697693,38.94516754777611,36.331299794762835,33.606376271240556,31.498731860201648,30.95288544204057,30.230081520653503,34.31114891711082,35.62925615869953,37.04872618869346,36.84035538300409,41.22244967979366,43.45500266537169,48.84127016207431,48.275874825573744,46.87158014997976,50.325488974843566,52.92037912011595,55.19728825298988,55.8236065464195,59.70597209914324,57.92981881626701,54.342094345224,59.43083862341087,59.779266001524114,57.999943646404965,58.5757457013699,53.75022759033539,54.148746341978736,57.79312082127121,54.876220127196795,51.169811667264426,55.106568428496104,57.65904395702576,52.73527611002045,50.78240263454588,47.05199922979628,49.954526834637136,50.1716820320002,46.18088847417551,43.19739821929425,38.87542414169952,37.70036380604754,33.18323360250119,34.03806684891563,34.22347096904407,34.058524475004916,38.77488776947656,36.55554600413469,40.62249041192663,42.203143642941995,42.13339725120234,43.5154062446076,46.5797861488829,45.09452889293452,47.671772972230116,44.40406865185291,47.86149094725679,46.84983407926998,43.13264164479389,44.013177855888294,41.21555498022037,40.990951509066726,39.27316275017186,36.96956891726635,37.06074508162601,33.08066629629637,30.11509106518256,27.74010330957786,24.86829332520765,23.522866191980956,25.29180152861943,24.210866149701395,23.004445597618293,28.887792891476963,30.420588204067396,34.43094119029436,35.51563858927109,41.670949503442465,39.19173932485259,42.11744523383745,44.42855433848754,41.76427861822458,38.27459676202309,35.92584781050229,35.921153722183085,31.962345573154618,34.83088221445729,32.741144963388145,35.591301235757044,36.31161582403618,39.51651402303273,40.029875497786165,35.620367042971324,34.50481904671606,32.11027665514082,34.66020696942723,33.18879603812818,31.42246678429062,36.13197163041155,34.073682382065506,37.94721974151498,40.38922658921641,42.55591391267716,45.81711837072175,48.43929901723362,50.08633378377006,47.57061635039892,46.95544489622685,43.051972065029425,44.570569974033546,43.1214717545764,42.226205974254306,41.888478181149566,44.286292710546036,47.21307315837103,43.93724049273462,42.0881502164568,43.21085235691884,39.08126336530915,37.671041958167905,34.60272739869105,34.16044318374643,30.080797250256,30.273489553171174,25.281038647798237,26.379400325455066,21.04611526414637,20.812435026442728,25.093757409297147,26.659790656318783,30.141550413479532,31.461393298671517,35.59153051521574,39.087249074196635,39.57748181960427,42.560719123574714,44.82068695024652,48.704082236924215,49.19767052073147,51.57966749536981,54.751586504059546,53.19086383213396,49.4706079872911,48.59601888327232,45.4500555813191,46.026760434391115,44.51168025894405,42.70516724046225,41.08521604220001,37.607396150178815,41.15720431300802,44.08448037312875,45.40421162525623,47.58157599618815,43.765093491452554,49.659629126846845,53.12041605471261,51.20550122170748,52.73936182757971,50.52159171504,55.7942176628063,56.25573817359608,57.76871546362918,59.683918395438276,55.622673665785165,56.26544194002587,54.35149046738373,54.56273762755827,55.45272944066315,51.39848602885206,51.268094752471896,49.27136769918985,45.462546578283835,47.51874576074379,43.40553838216154,41.55575583023971,44.828251917172516,44.64082974642853,39.9949165946585,41.727319194907544,43.98246423636124,41.16451918178485,38.05172583324729,40.76861346734984,41.18274425376194,36.59346021655458,37.30541193894016,41.41865631908416,43.51141081638792,45.100595884995414,50.17536101169901,48.38190658388331,49.25815041725511,53.99015578505955,55.99449393799341,58.06515657461896,56.046347093328095,55.541943756367814,56.92768524562296,53.80702705387395,58.754284366835776,59.41872774909754,54.02853309577075,55.62013730496068,60.60587058199486,58.108613974977985,55.502340844265476,58.38389363356757,61.12197378182418,57.7862877781737,55.654821818361455,51.77665095892381,50.56576503254447,52.5957368091599,49.893757014632506,49.479912280119215,49.238492711613766,45.87912795242433,44.898305362079476,45.735284201698,43.03681221585438,39.87494352085276,41.27610733931204,39.70889958899148,36.53516967940287,37.54197946919611,41.19380201866802,38.659583888416506,35.49278276180359,40.15069168044306,43.049835788748915,44.69367415729449,46.76651469307232,46.24477056536474,50.725291211425656,50.328494648497504,46.755838913090344,50.23497076613273,53.10160709340991,50.97797509284156,50.685502774362966,56.231609673346554,56.537523614935054,52.64973000258941,54.9438955953716,59.51961161736701,58.96873496976382,55.90336613365989,51.924103449094716,56.66433026452907,53.646066183431834,52.254458771912454,47.62159444955397,45.458049683035,40.644844322100056,43.408003795189884,45.20959457599185,49.05138362979367,48.77011234701092,47.61267145026112,43.14907802860946,43.88314858344568,39.719657270281154,37.32919744903148,36.54153685885242,36.626717583870466,32.48297925238075,32.92371822758001,33.85518036264726,30.733378958600106,28.18632558754055,30.17602973152523,31.277831416669358,28.96217942792749,29.75649768023298,31.643172714155085,32.637569937317316],[30.218394759263596,31.95578043208622,34.1940094221494,32.516703073039714,34.90433486085517,28.45561615874023,28.03056357359699,26.55315865983347,22.67521661391274,24.318449130699687,21.793235741791605,21.477688893928917,26.468046597432085,24.684384241564047,24.92189280700867,27.51092599217304,30.410919194092827,32.8223936850405,36.78791832010282,39.31187838206483,42.402356205883564,46.60891448874843,47.84432115961387,49.00683080124507,46.734196794001605,42.50960872793182,41.07131459379414,37.03862005628991,34.798172726585754,32.6213498454058,30.254222722673937,30.545385992613877,30.10653199425689,33.95603115447082,35.164007551703584,36.04666285512248,36.3405627476848,40.099806601758246,42.2126747957866,47.95661127398006,46.77721842696497,45.25666020734057,48.94849163946757,51.34161854758989,53.32062181719631,53.98747193554435,57.88194574237549,56.35484225584651,52.981182381649454,58.09063754586105,58.69308744807828,57.19861581466013,57.825088918505394,52.89509442815834,53.69354953117416,57.05113295378484,53.76916733422268,50.34978569880555,54.38720358847768,56.50754233440424,51.39398547544954,49.51676677932718,45.841046781330995,48.30546252864046,48.4906472220573,44.67253995555187,41.13025839419673,36.99808996798043,35.2196287362579,30.775960745508005,31.198438814405122,31.093859217151792,31.50618753662308,36.34434108045264,34.720275210981285,39.07724818392331,40.8978765511108,41.290266032111774,42.769813719339616,45.82571931851396,44.74662631322762,47.226231495194924,44.394316779057355,47.710576731837044,46.2680157748082,42.6050487722567,43.15713318440478,40.87030770677096,40.017181941143114,38.775401680339456,35.96349519973502,35.92833762461411,31.96484250552582,29.36409254156733,26.728648516010875,23.73022051346635,22.05156788295423,24.981757062676543,24.155647661274596,24.092004656064102,29.374243792684233,31.424559305214917,34.879689082126525,36.211782445012766,42.18757080406812,39.57458853106416,42.85318226944197,44.81731674737345,42.014978628814035,38.725859567779445,35.956992586302164,35.50184307175639,31.222473019061344,33.58885522190041,31.074505821552346,33.50605313836872,34.14346533550264,37.01525461718056,37.34967084075181,33.23150336511775,31.791417283776774,29.579277822214177,31.981836427460884,30.912897177953916,29.583890199295443,34.609512320792895,33.27313077247356,37.17453032092844,39.966856060046695,42.368641366353394,45.42185066039817,48.405068402632295,49.68377273549499,47.474023790139356,46.26690342874603,42.11696702146569,43.436909550765456,41.53086060127506,40.20330042894419,39.99475431559447,41.823975426967486,44.81249183796709,41.72086863910652,40.1507801950542,41.532375945929054,37.63823110264789,36.153122990363336,33.5144155958414,33.51729377036637,29.519752561419654,30.43816395586819,25.626240814048256,27.672474508555176,22.785373487732734,22.11554979004641,26.10626837096543,26.890783487780354,30.61828989913982,31.3474173807157,35.57423066408584,38.41263739306016,38.71140892063682,41.2007690137477,43.75267390249546,47.45948940243536,47.53852337577648,50.258903499650145,53.16362797092525,51.730901901148435,47.855385200568364,47.30745827379138,44.07301272781788,45.051505566996255,43.857855661768795,42.268372480580965,41.1194458961533,37.44260422341081,41.504094902615485,43.93305268846942,45.517669518072346,47.18170861185658,43.671598958400494,49.497263850712685,52.8079746616115,50.58758305844758,51.94061375501958,49.49144991172525,54.77505801328506,54.72755846415472,56.5910230921152,58.520888393712596,54.632397651974394,55.368678103559965,53.57100099508755,54.02046605800226,55.05240509789555,50.899305708596735,51.15503560252424,49.16455543028059,45.621019437752025,47.992021338200225,44.12308158131219,41.841503227040484,44.98647218765717,45.2856594243722,40.51478834483835,41.5416519371984,44.24953957467729,42.03349205052157,38.273771130460716,40.83701635846075,41.68338240172449,37.11651853066944,37.18769410762211,41.461550439665814,43.36741651790975,45.51730572031123,50.026249462775446,48.57131674261409,49.827873850691816,54.706749444181796,56.92803440119145,59.04627335659645,57.333356224906765,56.72166726617156,58.28339488470788,55.12398511671767,60.00247802511312,60.46269074729585,54.81532469810757,56.499781797872025,61.32116333407185,58.54839548521197,55.88145702475261,58.79848297256134,61.243243299128466,57.716318562677834,55.528866689601074,51.8494245781223,51.01565848154605,53.341479930311344,50.948625766501294,50.832543737779254,51.024022657679254,47.528655409832744,46.172228016679576,47.29030058558556,44.969031480573236,41.38143155901044,42.57963412911059,41.4929790736474,38.302987394304985,38.789294747121936,42.78900964962776,40.527053751021214,36.946042723813136,41.41462646256953,44.610301286144185,45.95067214113664,48.24129285231043,47.617552595167645,52.1124477092111,51.55220448336109,47.571961036062575,51.15502915054312,53.90170112582523,51.53770948256175,51.039752047950195,56.78479333622423,56.82194150762279,52.620339861682325,54.96636034091808,59.65494131975434,58.84410983592255,55.553452349597016,51.35494833955054,55.941657484052264,52.6752821117894,51.656248647926596,46.78087836905255,44.990869794864516,40.052061745406114,42.32184055029885,44.214636144416275,48.00625869577896,47.86243431236659,47.18572000831148,42.564233951958634,43.61253973315268,39.14783361428474,37.12882568831622,37.00871467958915,37.5217025198824,33.47868257057661,33.181080439825166,34.32957426962518,31.735553560827302,28.553561685587766,30.103913260109824,31.896588442260295,29.946720887364588,30.859482605822294,32.74511681832805,33.64259162207293],[35.40923578454734,37.43136742203967,40.02206223757736,38.32028464558852,41.03502596821015,34.65987393920824,34.35124559155949,32.97540024600571,29.055689749355757,30.50841070783785,27.872771968548903,27.64658185068882,32.52243764740187,30.5078452201556,30.44802224809726,33.14542779971011,36.07793021496807,38.09505944886685,41.802617826252586,44.495037873371714,47.30252284832717,51.5896269897083,52.62934069884248,53.89107281092751,51.89743199808049,47.669741604567434,46.54120469440328,42.63589454181011,40.37449129984178,38.3441876880201,35.33247441275281,36.04431392434833,35.14615082001846,38.66137398083743,40.31886494333682,41.31520299523937,41.95201489174287,45.67792603640947,47.93143582078619,53.70112008645303,52.46578649269779,50.63752498584719,54.26781229731745,56.74200987206021,58.655990841128705,59.53221733608616,63.34121724531107,61.77364993845426,58.668403290368765,63.84049998328954,64.33094338951148,62.93922201632492,63.37294081910038,58.52390150173276,59.13125167819897,62.31614690565566,59.00958375513838,55.50288211471323,59.352779659288394,61.4948842805365,56.28777078776965,54.06862946155028,50.271103874543094,52.55225461300345,53.094365215318206,49.499442052807595,45.69439100891009,41.7272783594705,39.79991359156971,35.41040875806908,35.67238126558149,34.994964669887466,35.54908297625539,40.35594935418588,39.07253550114305,42.98899396397706,45.38063466761257,45.562100943422095,47.45561185988657,50.736404760110915,49.98630818654709,52.74425471744236,50.09359429142804,53.57387635202678,52.18699840788887,48.38043816990858,48.623988492167626,46.24785130673921,45.1008981064639,43.45799609302723,40.51930914590749,39.87521864860048,36.112094002413215,33.7934524281473,31.69376425928789,28.354267978922937,27.2409935202198,30.337743065315973,29.927291197727122,29.85297481264013,35.113948445773836,37.43243083689198,40.83496183898571,42.407976265438386,48.43123876230299,45.93814818721718,49.201294248176154,51.2165990678976,48.411514340536996,45.11916586050223,42.3648372383615,41.908915442194626,37.608488325403464,39.859545121378815,37.166951653706654,39.42976422054595,39.86999185932742,42.58287069038849,42.49666961482535,38.55221329845123,37.104643849115895,35.170151277729985,37.602025400120056,36.814268749684175,35.707520510190484,40.81531727127993,39.6215122489055,43.5409068090303,46.36370861805866,48.7821743676523,51.81384481478775,54.82057986756204,56.08095163293065,53.867191874648604,52.628512834214675,48.443568051411496,49.705487780676734,47.68088374091351,46.18157100756865,45.99931749100539,47.49541001371116,50.40437283726308,47.346488833171186,45.99609102509047,47.36769392811482,43.51486994881512,42.15219245966031,39.644300716531966,39.80587360895041,35.876887790093356,36.836482616874456,32.001835567701434,33.84141858733592,28.802436229508356,28.15145285475377,32.183216002391234,33.079320702243805,36.87790196774802,37.49793724806269,41.891209907051625,44.68700111338563,44.7690177812042,47.27625085489189,49.77562136901022,53.56219893342275,53.56850679143524,56.43564719461609,59.25553111690537,57.89316945813426,53.97288462805769,53.53503877004779,50.261009405471704,51.2807105172872,50.090841591227324,48.42916734089396,47.268817587575015,43.46622880415491,47.423174099764125,49.934915070468655,51.62050940340869,53.36819044094897,49.99109865760202,55.81444843237851,59.110507212741126,56.856559091120964,58.03906133305336,55.43614743509621,60.72597049836906,60.60971692631247,62.64914735463615,64.65519399124472,60.824056555678894,61.651179277687746,59.90362529298185,60.398081293573846,61.438643334023524,57.26143009793942,57.52761867843794,55.467992428754066,51.95590673291803,54.21738336356613,50.33307424882891,48.10411975351031,51.11815970778059,51.31795603985584,46.55047349001994,47.51222753924788,50.10341112554755,47.782803646855555,44.0221632903198,46.43039276463389,47.10820678920848,42.543130637711315,42.547867968405214,46.60204895906813,48.70906165518851,50.68767378479863,55.449441826772166,54.15708922795469,55.27702259265588,60.2606403372815,62.22924467543903,64.56402986675104,62.95619742054253,62.54005238298428,64.1714513907376,61.14070611665865,66.06157402469,66.45908349057234,60.89790579046549,62.678219454205966,67.49462120000288,64.68523639517957,62.10771896795817,65.0952551817875,67.4596029150291,63.889998562733695,61.84640464521613,58.09358726596437,57.34945662194125,59.62219711757432,57.10743725821593,56.98145858785792,56.96410358641528,53.59509498820447,52.33974320869685,53.23602940237147,50.81012827812917,47.4133803007861,48.51961457485376,47.177395317328916,43.97180896808241,44.52947796389364,48.312795733320776,45.83381759950862,42.27540070796764,46.742347991468165,49.82141185768012,51.37406224723624,53.788070183240464,53.40226640815855,57.891364080757526,57.14523874529334,53.34573524415087,57.078492356546086,59.693466897960484,57.290017373476545,57.02147346775695,62.725829889587935,62.60218714658572,58.48206334506003,61.01120736272922,65.6017959635833,64.64262328847668,61.369753032056664,57.10774435205091,61.556860076390464,58.16682357794901,57.053535532095644,52.24123282824083,50.65765363720046,45.71311373985763,47.8460128846354,49.936924804240675,53.73210070247357,53.78866618227605,53.212061885223626,48.70876134961829,49.899089574609214,45.44379393763184,43.332518190253175,43.28908424256496,43.6570759187186,39.676623335144996,39.4425015325801,40.34649932520093,37.669455002847606,34.764185352929985,36.048282326306605,37.558190384869995,35.38165830860343,36.16028572733713,37.97733623332459,38.667676002621555],[31.663416708531862,33.896042584047784,36.91990045014178,35.173561224696954,38.51006651474505,32.32281327865583,32.52923211024889,31.723451594908163,27.849754537023138,29.683515332978683,27.59396343915384,27.830929586726864,32.53014761577513,30.2373609843292,31.09886785331419,33.899472259340115,36.32005273126317,38.820382306693816,42.36425773454398,45.28021136539551,48.18822672761338,52.56950516724137,53.52248133059881,54.421172942499965,52.34811005910278,47.977912774433,46.75847311346632,42.7162827886251,40.894826851759326,39.04652786334064,36.80007755466454,37.3754450799889,37.12247756625874,40.88894589497623,42.02377288013345,42.625431543879984,43.03726865308542,46.436425084578275,48.34136942803215,54.27246988346157,52.655364426014046,51.26454128494111,55.15170605212301,57.315967809204025,59.02058623195947,59.56142931879798,63.50485067414202,62.28145039373464,58.94025763191252,63.9644463371881,64.87929644173667,63.51794661736549,64.2948234235037,59.278461718581816,60.38600935097529,63.64584474398447,60.16740901491296,56.96031486451775,61.0670920715692,62.924148281849774,57.72742191417874,55.93270787323754,52.305654131337,54.456619558617334,54.623251805747344,50.94012589562624,47.01218736797357,43.07119732693718,40.78463308294669,36.48874873299326,36.454121409539276,36.03644201572386,37.07241062054032,41.94651415232145,40.85813441845378,45.3100447036779,47.33796044004655,47.95498825072569,49.501538037432724,52.52863256084901,51.58339467347708,53.91776666487894,51.170076195074365,54.3069461154359,52.62506932961592,49.14140448900624,49.68872505064308,47.6892752047246,46.61848940536946,45.63125321536899,42.606349327944386,42.4230663410823,38.53247556458741,36.156563526191505,33.45269944920177,30.430853395706304,28.589428040911077,31.938485323647008,31.027378560894462,30.990818801946048,36.29768212279409,38.05035258347875,41.599204903208616,42.560341554776656,48.41813844655109,45.411231390029556,48.505745802155175,50.194743044903994,47.02194503056914,44.06514895918771,40.96672374671082,40.8532929044853,36.45631000982581,38.7412658292333,36.38011876830344,38.41799824725168,39.370855354865604,41.8194946799164,42.3823246251774,38.642333727040494,36.76190945252878,34.568606594129044,36.36506402169283,35.43826206558381,34.127492760606884,39.17586130744601,37.8470540613187,41.99659640330621,44.812568456506106,47.700233974465064,50.228300610954456,53.46935411110015,54.824318327327084,53.02998052791208,51.420411438896764,47.16972308755893,47.85321564777048,46.02693677601648,44.48483364115293,44.77974842444364,46.24281577862984,49.55476354049467,46.841820885433954,45.36979399207681,47.113704196790906,43.49220807681906,41.75796537380535,39.38028629392551,39.370769575327905,35.26780113644202,36.17298690262091,31.486556455981354,33.705627597697934,28.58336569214811,28.570606841430124,32.64312741227968,33.352990195311875,36.88539027210331,37.76296739732991,41.619220709627406,44.20044500518625,44.798911332551654,46.7417002156051,49.66833703588792,52.97647649196807,52.58872539560773,55.32010339312639,57.922915289462885,56.27932556561713,52.38940137981817,52.10975247252516,49.08838245153491,50.57171271651457,49.706943134116614,48.42577599402738,47.49226562659093,43.949681528422886,48.2142494305632,50.42283438916679,51.952152515119,53.27462634400335,49.6088587397496,55.36604269191959,58.616500872732814,56.28690376187668,57.87184252832396,55.48374266299092,60.73000606493111,60.24398112086509,62.17948856465432,63.91138625280285,60.12160359602371,60.59831953688694,58.65991197620661,59.05555925228748,59.847833832839726,55.471891732129016,55.73775547171319,53.359358063259414,50.09554305270299,52.13791684433313,48.43177445913687,46.07367828399398,48.64953816532282,48.91456036702996,44.119621787041126,44.63535825895357,47.193068309444065,45.09775524661081,41.00202229492116,43.12629605320889,43.81755545840266,39.320231625793916,38.96510022242802,42.84580779470476,45.04294055720382,47.08742103291471,51.81321792936825,50.831906973178874,51.97992497070572,57.13055508170464,58.95764929200604,61.53929062361767,60.30369890114449,60.08682933284712,61.997853391803396,59.22794788733498,64.15605379089453,64.19522969250524,58.63358933116043,60.73613481835319,65.36734831385643,62.287792628755675,59.92251726401127,63.156543549759014,65.09498181385179,61.3638478901799,59.77003045745804,55.83289809141226,55.66017107889219,57.9384041189607,55.326919371968344,55.58492179572697,55.54233067305798,52.45165972635438,50.94251563309498,51.50369861301185,49.39525464404649,45.92499210373082,46.522910527417416,45.24325977756854,42.029628886665364,42.164237237769996,45.919715763630684,43.46802707881416,39.59501772548037,43.85184612782383,47.02622759366631,48.53621215376419,51.26092018191318,51.133500972247894,55.59151876006933,54.43608105884063,50.60624611924108,54.623893499346025,56.9251119672319,54.33260095533456,54.30938899276552,60.0150710644555,59.51080370134344,55.40383726351996,58.2465712331838,62.68737958824541,61.40948006720402,58.122149617730074,53.752260732136875,57.99437960311349,54.440016049519514,53.26876963454025,48.5205635691464,47.24345755977993,42.307721704338334,44.217164042275165,46.5536180904753,50.33804945994723,50.70991676566361,50.34055189186195,46.11252815199465,47.72591777866368,43.32957022859258,40.9778137907812,41.492249495518585,41.77570616171722,38.181752371606855,37.49433817959534,37.93006348737358,35.52402340893517,32.82188570889459,33.30393389579871,34.73716541775943,32.583829812059314,33.36037765332639,35.15266525386136,35.724477744971146],[35.449810630297705,37.55856724429786,40.55213558739962,38.317966246254755,41.66806898091906,35.709235428149896,35.64426486112122,35.04218687371573,30.847226731273764,32.10562096502945,29.838815704797625,30.44785106074046,34.78710295600187,32.051509036625745,32.692307282433255,35.701222445257315,37.961923391544374,40.045674611527204,43.19414689410403,46.378776876050765,48.94781525505206,53.450307638821435,54.12267463323864,55.0327591638288,53.290278170772154,48.898132220971476,48.071907697792604,44.18997048318717,42.47680336690597,40.97493631182432,38.13540208948166,39.37265221775807,38.91740723617021,42.312401497573674,43.693059084266565,44.137555836615775,45.03606229204983,48.12333539985547,50.10146212460629,56.16075437267084,54.27442738024889,52.56570928160909,56.4642301444018,58.61422449312226,60.154977211569935,60.90441315781905,64.75421867980488,63.57469291723155,60.56878194589695,65.64776110354653,66.54090773501486,65.39361443717759,66.01724396916975,61.04914973028597,62.166694989808846,65.13906023276884,61.49791951547488,58.36509105257721,62.355552052393726,64.02457521111694,58.70324746742991,56.70906370930844,53.05109736271769,54.8702117614799,55.26731953692735,51.842609904399396,47.53913645762852,43.82982372809069,41.24602905209394,37.0745265825332,36.786906090212746,35.87507636284395,37.18666320388461,42.01313916581486,41.3999141806394,45.640784285885665,48.116734936019846,48.8017176003534,50.65165136640105,53.809530756015484,53.30089089506693,55.798872345362696,53.42687285935242,56.63429188071669,54.82007506711186,51.234652263432984,51.36730810337309,49.53860854662135,47.970120580193125,46.927639758265165,43.61461159040985,42.99584049515321,39.28711441878432,37.283181184629484,34.85381515883533,31.613961220506138,30.056286269153603,33.93516602731378,33.472218992988424,33.99455633949505,38.92479405122122,41.22412976532086,44.37803832376392,45.76591859004207,51.562533713001386,48.71770210622366,52.05521581273191,53.66741510009875,50.56356964645535,47.62054203684171,44.43545270937927,43.93522038435188,39.4333838921087,41.33449828731755,38.57609588603731,40.33024113756548,40.96908860737388,43.187743510539455,43.24997561116628,39.76778460713309,37.850397097216025,36.0149142360568,37.89342512476098,37.40092789180797,36.54527261719418,41.74858211413952,40.97752423659198,45.01477335689373,48.025639268842255,50.869408939989846,53.423211578676685,56.78998888050471,57.868632568944854,56.12543176443964,54.28068967873926,49.923427297406086,50.65666847328323,48.44754291520338,46.5957253542998,46.819460654555364,47.77526844556634,50.92359316977014,48.26315411549025,47.11450069781841,48.873876588983165,45.38223147525558,43.79385888132188,41.710982992167914,42.07826869819563,38.16108480190027,39.49368992198546,34.89839758179375,37.38330046077358,32.50115476910413,32.03940479645554,35.93514148402935,36.33527982894068,40.08160939730303,40.49884070807225,44.616305219786426,46.850141305912146,47.0730947957923,48.89048317766719,51.80671129172712,55.166881374155786,54.6231195441879,57.6526322474969,60.10540874839604,58.67965841255901,54.69323446786506,54.612882708579804,51.46151902280483,53.040169466320094,52.27033702137385,50.97402222029266,50.24506219699145,46.480427973289636,50.87143304228654,52.90481864217225,54.67196229546091,55.85148074036071,52.541605885607424,58.24551917424208,61.39668257802026,58.90405491374201,60.16722212670777,57.5207581102149,62.75571071521832,62.04367682542363,64.29443993546272,66.14687712104279,62.49691426959787,63.18371402796297,61.41482692657402,62.00933749573462,62.97692999607336,58.6249650391879,59.13615699382676,56.86653975588373,53.710285741069406,55.97445742301515,52.36861264595058,49.83251843795711,52.425446235069735,52.92941084466515,48.10678467281172,48.327114683282204,51.11416759597304,49.28689873518639,44.96210423770929,47.01849917915518,47.90889597849901,43.45259649521318,42.815245581453865,46.73323602986095,48.82095220221662,51.11982015077125,55.538366184526566,54.730617884500816,56.053372699029126,61.23951422088266,63.15431012313638,65.74343606774745,64.60796327935049,64.31884303132254,66.25431969226108,63.41806694167102,68.3004038181347,68.31989774025149,62.648358651204155,64.71669437695219,69.29286972360704,66.13437560057788,63.697530548667345,66.87586593486273,68.74165707223602,64.9481108358933,63.219822901310124,59.470919424183904,59.36037760404336,61.78947841835015,59.371565165250566,59.66363090778655,59.82177413177619,56.59667369367661,54.99811926863508,55.77569607046122,53.743193862333555,50.12733795801727,50.76593257912409,49.668586241717854,46.46025474648737,46.47730022773683,50.354062674541986,47.99775489742794,44.04069076126315,48.226998113820684,51.483166666383994,52.884444632719195,55.65057557694328,55.44421157978763,59.90043016649441,58.73812767639908,54.75079981907491,58.75527078648643,61.03943259097437,58.36547725205131,58.204057395174004,63.98723840996098,63.39462916126531,59.1361424934682,61.94638771258,66.45390039435823,65.07195099019472,61.67041915649544,57.20543859535159,61.335578859380696,57.65054615770126,56.72751121629223,51.86750630561492,50.8150472931913,45.853167745650865,47.44583685996922,49.79898931639512,53.51404967268307,53.93518686516152,53.84217175390917,49.49997117235516,51.19141334834847,46.63483381598774,44.591624327880155,45.315834807998904,45.83045763189618,42.19606235625203,41.2871270116805,41.940027627191256,39.73230478606903,36.71857474313432,37.15885045246501,38.91317795878908,36.916776667157315,37.719261323991894,39.474262058797414,39.95271534674295],[32.58700558658169,34.83087069553689,38.13253591637608,35.89005438864661,39.69592491458963,33.95891824681739,34.29877741429441,34.132269158151594,30.055105187636677,31.601739190151203,29.78799346937334,30.692472394226844,34.86816560624546,32.00024400179985,33.32092773719449,36.34839737985813,38.22812262478924,40.684856955593105,43.72560186597316,47.02675086209618,49.68956488872699,54.22606194211354,54.859878605895105,55.49103343974502,53.66383188309353,49.19126788034694,48.2644914717853,44.2944201512492,42.910859142070535,41.52266107739655,39.314185269427036,40.37620394845046,40.39623571670882,43.9887242844593,44.965790295294504,45.1420745481884,45.82498180807095,48.6838353106071,50.38578636822698,56.522447716103805,54.383677911752706,53.03999044945306,57.110691083557484,59.02091082526353,60.411689160309116,60.886098618800695,64.83000022631352,63.91200551554699,60.71297442615107,65.6543838160771,66.86696724783845,65.72847196529591,66.61924732602887,61.53806850250159,63.022576646131675,66.06987293272559,62.3274715656205,59.4196500889989,63.599578701981216,65.07236498962985,59.78954562211854,58.13677274452397,54.61938732340968,56.375862049250934,56.468254254166375,52.96524496649032,48.63467109916246,44.941336844923654,42.14625315450911,38.067042377596955,37.59230948941157,36.93939114538858,38.556937235464616,43.39950228237504,42.87297039056381,47.499112012813654,49.64776360643804,50.6342854921954,52.19257492930829,55.13993439163207,54.446024876066154,56.60783658106955,54.141381298446646,57.07617196911656,55.063190485442576,51.74333132354338,52.13614671397827,50.57387197334006,49.11868695478245,48.55832735757195,45.233671989976315,44.99716831136862,41.19645168408362,39.117430866500165,36.256670162415816,33.29003814691411,31.221559509732053,35.172091227755814,34.32693175687545,34.82395809305841,39.77038084377601,41.61055761344633,44.873771406131276,45.77983807725448,51.42002881149729,48.20503587514125,51.38192341595207,52.741747166560685,49.378240504228586,46.711135542416166,43.29814163218682,43.07763254241015,38.554027757486324,40.47912795238651,38.026255464552605,39.6081003589289,40.654382498689145,42.66777699950431,43.268636595972644,39.94886151910905,37.72665089136746,35.68735352777477,37.04733372825675,36.426153576389055,35.39958321735412,40.49019826492891,39.601169954377724,43.778121683777215,46.75060745253385,49.931685631837226,52.08338945488391,55.60348118122019,56.76182007981738,55.34409056613112,53.241359538858745,48.868311239130385,49.148109904729715,47.12736045118738,45.273474565993794,45.87089712848831,46.82710285670252,50.280421237974465,47.899179971125264,46.64002025250825,48.66942667423047,45.36547151751624,43.49968631157762,41.51125857779958,41.7225970612751,37.707190918532675,38.96255993822971,34.529969968130814,37.243691341213164,32.3666221937221,32.37175953160559,36.254080952788655,36.537751475707815,40.040190763758744,40.669232482837174,44.34149770722285,46.419338886642954,47.0526573070552,48.44381325565804,51.66449119060589,54.64024567829759,53.80851226022712,56.69675953070622,58.97910730844597,57.32847529810604,53.39363281157329,53.424980246882846,50.49564307692609,52.41212310839019,51.8862126881382,50.88301465057747,50.311342578116815,46.7775757443624,51.356590576989085,53.17137754489054,54.795999494904706,55.66473568022791,52.132792583290176,57.75925091198733,60.867958441491034,58.34000497139985,59.92398099367864,57.47123321570163,62.65371096293819,61.6811310759743,63.81921662278093,65.44580372360083,61.83260743910303,62.23414247455401,60.316736538739406,60.82143510972629,61.58429669248899,57.099754844117726,57.59745889216049,55.0905948462958,52.14164843864426,54.21707113052643,50.76940890906845,48.15758723307377,50.39323300757302,50.940632040516356,46.13517257379423,46.00996463582836,48.74722602431765,47.109706053520405,42.56303087515172,44.37727126397144,45.273816843942775,40.91392211170663,39.99514135409473,43.73767733128034,45.87789359380712,48.216755179897866,52.57567543873888,52.01580389855139,53.35423596658358,58.63969681659018,60.44100052658654,63.20522983358083,62.358755582523806,62.22259196801586,64.3631094097333,61.73964842569117,66.60513398241206,66.35086529438317,60.70793047786705,63.01287025769121,67.42887195251436,64.07865877350977,61.81785213746482,65.17326322548686,66.70633974552194,62.80538297508453,61.436894174648664,57.55865162004686,57.8848368975549,60.30125266049062,57.817241550377744,58.39882477472749,58.53380929934199,55.53894174431177,53.76092375472759,54.27717012577517,52.49790009220717,48.85371565492132,49.103182622896206,48.06385820115894,44.87879462318695,44.57300984644495,48.39579961758771,46.08563721539627,41.92653753836022,45.90726320715445,49.212115661248966,50.56522002830771,53.55006128055585,53.540696847063614,57.94555181094984,56.477609716497746,52.49060388161164,56.688808860130656,58.71885821761658,55.91432419240506,55.944311628338376,61.698088437629465,60.81442112448218,56.58962126837689,59.63038257537686,63.999372888979586,62.378816106410206,58.98253771796725,54.45717113592108,58.40615253431326,54.613647422280195,53.64443224294155,48.86071114624343,48.05706054128858,43.13973075317103,44.5423681021448,47.07626350809257,50.760428252427275,51.42872393438267,51.49263558843885,47.39723262348803,49.40418077611443,44.93310282279141,42.71553189487306,43.85754190568791,44.29929311085185,40.99476708135689,39.75593414670133,40.04121031439272,38.06913102482156,35.25067763908372,35.067414369188846,36.742167217904225,34.80122208567752,35.577861145299714,37.286775308737326,37.647691679876196],[31.281102384874327,33.777183157150276,37.455575550362276,35.4421407361973,39.705897331407016,34.16581024617127,34.98866492231495,35.1185537580767,31.311819103575537,33.2347522005951,31.817013127543422,32.79284529318314,36.92319263282565,34.10084820387705,35.89518662850458,38.86183789534367,40.51973393084274,43.27897058012326,46.2890118469321,49.611684982891624,52.371755667346584,56.89617269553474,57.53769707113577,57.973098414433935,56.05519794117733,51.54945947962477,50.499147946198946,46.462557469931056,45.29215472753967,43.907453531862245,42.212685312768684,43.01172149267293,43.32322214965079,47.090271249666024,47.806773638210174,47.87522334348486,48.31116793497533,51.09326200291718,52.588746645804655,58.72223100408613,56.47586503123778,55.44860438265876,59.615922874828286,61.360179989349305,62.666891014045255,62.90730648048543,66.92207523820085,66.18852255642113,62.80304082266772,67.61727815940654,69.05780664279162,67.88317816522748,68.98397673549655,63.83182738823396,65.54203354633563,68.69429043680732,64.93068039248463,62.15256695152563,66.45645588880824,67.84643288912065,62.621938983628475,61.204249252284015,57.77709826927374,59.54422634931817,59.42964141853546,55.85244456132973,51.57317346108095,47.87461475856349,45.00268876469441,40.9906943723365,40.43028713855182,39.979266374915746,41.7473220913727,46.58044899179648,46.05074595316131,50.88858102456513,52.79532737630198,53.91716589155198,55.266898857488854,58.06739470970842,57.171763033640985,59.09204010336281,56.47163100820611,59.206616549213294,57.1112520416919,54.006449240420494,54.662144381478555,53.21767193802251,51.95070607071117,51.65498222416307,48.39856387513541,48.42283294784788,44.560741698272665,42.3799078941406,39.27406070526676,36.5012240101244,34.14201973892032,37.95924021304843,36.788875205181256,37.04374101586575,42.11859227847819,43.46987577176067,46.94130834636832,47.37428970165916,52.90400128581355,49.37845253048694,52.30320566968514,53.495295173851844,49.90383897131428,47.4772981876881,43.94052316655368,44.10968944998931,39.64486160720355,41.69164093273979,39.609008156100415,41.10107955376914,42.51854603040949,44.39115326375002,45.46892121685485,42.257738229023474,39.83760993362876,37.61183626154072,38.52896873639666,37.72871729596212,36.46366763596686,41.362971763520655,40.20074205922709,44.50682336515441,47.35402190986521,50.818972661900055,52.60299897070734,56.19026385208938,57.5164787886041,56.3565445044919,54.133023439866015,49.8045860033006,49.661389315305286,47.93262009616272,46.160649409355614,47.0978149079874,48.13643607682067,51.850793060456255,49.70277873372339,48.30942166539949,50.5325100542232,47.3580534163579,45.26858311656481,43.29208516730412,43.278739378683674,39.16460603899525,40.186728950268744,35.87741822222605,38.57454169124203,33.60761427850893,34.14192375862327,38.06590048817145,38.41608717220561,41.64567505511083,42.58415104177926,45.836266959723936,47.9039123560735,48.938916237590554,50.03847903994573,53.47342433703245,56.13139916244008,55.10260437881849,57.7895223047403,59.946341732081294,58.05028868299669,54.20566012692797,54.28894788973632,51.6021277098334,53.761893879071515,53.40047132650159,52.62047630564833,52.09204907679607,48.801921568648666,53.42975459568697,55.16042428024163,56.60508372475761,57.302938990590306,53.50718805549765,59.067848485163864,62.16447868633365,59.669930532630794,61.58198980007855,59.345396363552666,64.47344420871478,63.354670446666326,65.32906658614111,66.73927778525336,63.134985237846834,63.24312161275056,61.15763053148743,61.51929504613586,62.036186511350714,57.44084167912254,57.827054765408505,55.05665510656005,52.27307762822083,54.04021452758075,50.70489502452423,48.13773797376821,49.98914838709685,50.43477733187241,45.694333889719545,45.362885535758814,47.89024785137839,46.28558256176906,41.67756241210573,43.220336093034945,43.96258294095344,39.72251143233707,38.64823690757514,42.07713234861451,44.37462424416834,46.55032810707705,51.05192471268543,50.71967329666508,51.93523485216707,57.30831268319746,58.85632835393429,61.85475878485899,61.27856932368924,61.38694667737582,63.71996814131694,61.37317628027821,66.23848411552567,65.7245016587475,60.208137576923235,62.76397695773622,67.04061804882893,63.55043881789465,61.51980545718572,65.06667054068946,66.29708617306497,62.32682315424747,61.39325959917929,57.31537593146126,58.031681003363666,60.34326380803777,57.68984079732454,58.50416682374855,58.46226033589234,55.78066276200633,53.92869134419819,54.04713816053183,52.431270944763625,48.911489307357634,48.770640818478114,47.6232305389353,44.47649277382438,43.960674441681945,47.57316893290248,45.20360400253972,40.94315989888107,44.72446417702718,47.96818287320643,49.393250877443094,52.588336136649225,52.87931580326841,57.211495268675556,55.405591374154945,51.57840053720028,55.98861948541446,57.73424747952423,54.84436444697232,55.19443576863682,60.842822589032984,59.67223857941366,55.596659470417606,58.91394743977208,63.07038804000832,61.22269417896863,57.904284510791825,53.36676962526526,57.11449358344664,53.24945699792804,52.101233808523666,47.50288805012575,46.92388345761898,42.106312478292686,43.400547292946094,46.14640295467138,49.80058808862102,50.745674208546056,50.872746747021566,47.12182678497682,49.40855287471408,45.11665168095239,42.60792969702878,44.03603411580606,44.265496450758086,41.30835801546258,39.91844633674931,39.708129835381364,37.85140162874765,35.46030351008876,34.67304424310769,36.01333857893673,34.0047352196498,34.69324281009585,36.31819318088771,36.52596896837228],[29.695452591246763,31.927427151025224,35.58043601246984,32.95922023540499,37.43429651780504,32.43656309580386,33.2434871773328,33.99458957162011,30.046963756102677,31.626584376117883,30.56624652151349,32.182035943266975,35.677105258030856,32.41465663700645,34.729659593137605,37.811259969041316,38.87470980854178,41.676673325607446,44.24084655529794,47.823572309196216,50.4196174423018,55.008618680846986,55.41694298041438,55.55343083682186,53.777568936337666,49.22633462890328,48.35668226636133,44.40398675417623,43.693985319846554,42.748778922012065,41.34935124300791,42.47813397823425,43.21591163048061,46.859456613488106,47.244625619901214,46.843607891846005,47.43071680802354,49.63649508576157,50.864560107340985,57.124534983240906,54.40429166440418,53.540111227707705,57.865416393003386,59.31898372346594,60.334490970084964,60.43557291848712,64.44862122311984,64.02792733603275,60.71812499833038,65.39544038044441,67.15026558563383,66.16833123690999,67.43445017773693,62.23272307421804,64.36776538983071,67.34269478496667,63.358801008116394,60.93152577677039,65.33898002784827,66.33296024242519,61.10486130934282,59.97605137873274,56.74052348843185,58.18481527619686,57.849660527283866,54.39479276487946,49.88588158659946,46.41166231087765,43.15445536969155,39.40497639773588,38.49271064981288,38.076245692026255,40.30496755720671,45.03648380109402,44.91007727608241,50.026560231431866,51.79049836656597,53.34339075354792,54.52511467888835,57.12853143794586,56.37522936836528,58.00610814206957,55.64958467589351,58.10141391186245,55.67143935139709,52.80748615824778,53.39665744450401,52.44337152370168,50.91027951038156,51.19360444154507,47.735435232159,47.947989439901065,44.15242724489939,42.193570896008374,38.80365045360093,36.27657631344179,33.56142635518691,37.82159937568301,36.62597825519703,37.46958528888374,42.0332798214419,43.423876600269224,46.50951464030974,46.86339368419982,52.076844170493885,48.38927319566715,51.43149991993261,52.263926815880694,48.56475133520338,46.43621702876079,42.625719873856504,42.588706528504865,38.06515405539061,39.705768141583604,37.59175117452547,38.648817643763145,40.191278232320975,41.66155874037951,42.916821914702886,40.10422213187693,37.39332873445811,35.26361720334777,35.71686270429877,35.15157248541933,34.15400205438525,38.99926752288804,38.33644536220335,42.56764491132753,45.56196874183687,49.23383671801602,50.677559870527055,54.50720302354555,55.57222470580826,54.776853120802315,52.082332747901376,47.677682430707804,47.209684229572034,45.284056380778935,43.25926796693288,44.44557074488115,45.07783112137012,48.90511943297687,47.08322291408913,45.845096614159104,48.31683207953005,45.48773683536082,43.26681101328688,41.68126513483624,41.86948848792039,37.922908880195386,39.33125110721606,35.392442737806526,38.653018664905325,34.16664679024215,34.58823014660184,38.17619814385134,38.004106385743874,41.14429365260333,41.787448452759406,44.78043527109222,46.28954094364439,47.378186603553814,47.91307555081336,51.60526166908787,53.89683876455021,52.47640254154996,55.27085455434008,57.13376642834339,55.25933006288182,51.40133424631249,51.75726580746553,49.17044164604886,51.70666422846588,51.680488064025425,51.200233025154766,51.06207735611752,47.843847665041174,52.7728069123891,54.04325780957274,55.558098677179906,55.76077061848904,52.14427669913541,57.51518695344425,60.4393091574943,57.764426728682594,59.67433076339037,57.42611858801786,62.447314446477506,60.8889579063572,63.00227752086964,64.29575819957252,60.87698518511314,60.9211655553413,58.88734542998598,59.37610345149868,59.9141016324509,55.27717735471445,55.942312191271185,53.15979825763781,50.69507844580552,52.62784007125632,49.59296308811152,46.727247858615314,48.351023428612514,49.200030593158615,44.476716481153126,43.50341028433094,46.344781123811956,45.3336887742316,40.27201393643794,41.60736907137137,42.733787507487996,38.65899290472691,37.01395589921054,40.483775890123034,42.52244537226272,45.18980982046743,49.03128677088725,49.019463869925445,50.570998502334,55.97396189729697,57.72812855124952,60.70126504295697,60.413798135679066,60.416017835275625,62.887256990008915,60.5578043547025,65.29656443975557,64.57794906845221,58.91704623089876,61.54924889430511,65.60465089905229,61.89755461918905,59.875951175699505,63.43868609370405,64.34609612689168,60.25317799480972,59.370294473548505,55.48557293544219,56.59445869187677,59.09920854013852,56.72727867857311,57.82961699611451,58.151197217437364,55.43577105113586,53.2746658885602,53.58150771791517,52.351820132286726,48.541489510092646,48.17929900592664,47.48814862008544,44.40973220244777,43.42961810724516,47.26458634019087,45.22363319004805,40.710757237372526,44.19915227885852,47.64909603315953,48.73341378854023,52.05440925837407,52.24163631937326,56.50463372177914,54.57951339155007,50.4453761137485,54.87194800895452,56.46564064369995,53.40393759990973,53.5772486288349,59.30106291608762,57.89248639783833,53.608489111966506,56.9401227967936,61.114946534472224,59.04816805176952,55.58524442951369,50.931175237633305,54.468193528780915,50.44061810267636,49.644478349751076,44.92502262606476,44.715041314168715,39.92795461284564,40.72111604167223,43.50670919415973,47.02990269220998,48.11893830264132,48.67030443850898,44.94183475384655,47.50435143936817,43.12761368503892,40.92496527838553,42.9365473999863,43.47493537355481,40.76477652742068,38.78165304807232,38.66096413354692,37.346635992113384,34.61825519804883,33.360714488043456,35.20669847648134,33.620908066094806,34.398571030097145,35.96084603598898,36.08079291332376],[26.781510683436156,29.179832076465186,33.17395487597274,30.784239296137685,35.72497339837331,31.121645061919974,32.47945744280395,33.636429904720536,30.108834198496012,32.084008891479556,31.573850350401525,33.273615995730225,36.58224165662613,33.46328123236508,36.3519151143252,39.283374361906986,40.03110736520557,43.21076541297154,45.74429541904651,49.26926283611405,52.00552195952548,56.51226755980458,56.970337637659284,56.85497680817514,54.92459579604879,50.38669828115157,49.316125485335384,45.31601351982134,44.88861635939598,43.958629929404545,43.298685569722906,44.057480784289105,45.213138309851416,49.04862547486656,49.040788097616556,48.47969316686625,48.72096533124781,50.78479958663018,51.71811776272234,57.906315908867526,55.07980771871919,54.667096997925725,59.079248222294574,60.30315378947465,61.220170284778725,60.99246770118238,65.07689479485924,64.89182598750884,61.33197979500364,65.8049112122457,67.8489594519178,66.81407194146817,68.36177393154838,63.10070111933932,65.53538032272606,68.63627926540455,64.65966091579575,62.430416495507465,66.9852810221155,67.86412922445102,62.764113511082996,61.99399420633814,58.91776703697114,60.39921396227998,59.74867839529519,56.193596484587665,51.85002887473012,48.37806159945227,45.10820193594855,41.48480929849348,40.52476078957869,40.47372841161846,42.79588471475112,47.456235579966815,47.25278612261345,52.638568890414845,53.99219862190694,55.733012021018084,56.581276076741474,58.94108038088066,57.90636238959824,59.17721711314048,56.64974804571919,58.799751300505065,56.265883649702985,53.72358194993095,54.66500057172232,53.89919078105595,52.64243521085281,53.31941424958006,49.995526637313674,50.61749659409985,46.76060943084931,44.67280139815663,40.96658606740366,38.76478287793177,35.685950131422636,39.70811525415791,38.11381703424251,38.738865090648346,43.29809667280336,44.081715614800174,47.3165953375738,47.080069863799324,52.05529100727186,48.01776877368915,50.75185181681006,51.32804768228092,47.39260394587944,45.60916353576975,41.66989539232673,42.06713516557932,37.69024587901519,39.4267046755479,37.82999702773874,38.763504832159605,40.773470193045455,42.07085432336086,43.97783009989082,41.30798705310615,38.40824810956086,36.044960335256384,35.92302685114898,35.09918578759755,33.80411576836535,38.300556318913564,37.341090058150264,41.64799389714758,44.46243856769268,48.44383697283738,49.407895112871756,53.302066274021755,54.53033869332507,54.077429373169615,51.23110373148751,46.92838651083004,45.94271534315811,44.40070772531378,42.523982123920185,44.11859069393642,44.90247225347874,49.02174617816051,47.50131049824222,46.07523145852716,48.75612064155577,46.128224582507805,43.645861983974555,42.101465539517925,42.01039257617268,38.02844345977611,39.17585159627444,35.52008707885948,38.80322784428995,34.42515041061002,35.39906298956497,38.89315901471319,38.716326606559555,41.46030964623292,42.42986303547098,44.83251350743022,46.26159006458049,47.85030083101214,47.99590898129361,51.9205454292913,53.77381598934142,52.131905382370725,54.63239354488114,56.335754317646554,54.16865298128604,50.4607891655297,50.86794569097706,48.61328912627423,51.4260367633549,51.61717359937444,51.439375143196706,51.38789752112604,48.52141141322424,53.48608739225066,54.59225060429095,55.871606443047895,55.81937522923806,51.92649761466289,57.14844530451091,60.02175742049493,57.40246817523447,59.713314222504245,57.76935348688402,62.676564977557284,60.95746416550844,62.828139117009634,63.836859071480575,60.44995953344951,60.12632129548451,57.90397131863684,58.2222190532228,58.46955472427685,53.738108476515976,54.29468807720816,51.24075835294709,49.02157246009468,50.62496654160221,47.79378219813343,44.95557718608831,46.108957916223176,46.91411757928264,42.31326368855445,41.01877446697374,43.663450675438234,42.82283213804537,37.658346458819516,38.65645669005495,39.70083489118078,35.83465903766803,33.921962060033984,37.05173794573256,39.17035987084352,41.764615561222094,45.58406472176326,45.84650219820396,47.33612010818948,52.7941446874687,54.35253513959408,57.51768106784824,57.55342265421611,57.76665812597964,60.44440755881836,58.41166035415798,63.09515643525447,62.07573427994916,56.548565564549094,59.43773970821976,63.28734679568417,59.42064546561376,57.65306060617389,61.3993811289396,61.9406232088357,57.78257595677651,57.37980654396487,53.32706230045813,54.90440984709684,57.308696553300024,54.8258400013741,56.2253475595662,56.444553788293,54.070818083797406,51.78067154961894,51.7111135823344,50.761279124880474,47.045864021651155,46.22683418494358,45.55423412417776,42.57204318101361,41.26316407314011,44.90397681190459,42.928373981132935,38.29982608398587,41.46065258352093,44.87752480632409,45.921695190734134,49.449904458727616,49.903953350948754,54.04375765036058,51.773661395145176,47.755398288924894,52.36308628517376,53.63099733391658,50.47129135016682,50.93240451166223,56.52545122423564,54.80210041520488,50.65913281020895,54.25411624256237,58.19372482202789,55.884221620286205,52.498825868803756,47.8479246938587,51.14767367763909,47.0593177414611,46.119408689916284,41.598764911215255,41.659262865459475,37.02817196945017,37.64519300158084,40.63134845133537,44.08494767334416,45.468548470362585,46.118220682044026,42.80704386256199,45.68186689323723,41.55416020119831,39.09064578316137,41.48770109636337,41.8495998623643,39.614838346080724,37.37522478585361,36.7315630669587,35.692778339382656,33.40880364915564,31.412513016533964,32.97977564197067,31.47839812735861,32.189367613301236,33.643024329756244,33.588590524572865],[26.836015045997748,28.641416771343437,32.20808689343082,28.89444353737781,33.64965966679644,29.585349902796878,30.509985438340838,32.15009455339341,28.305775040789104,29.56337474918002,29.207466476986003,31.56112289741753,34.122465169246645,30.497039482369523,33.63147524786145,36.69402404657403,36.89692129784939,39.88529604340737,41.897200901858874,45.68551566320824,48.1476752919582,52.714560597117014,52.8983049336205,52.5782933448565,50.88428222019953,46.33485855667042,45.57089489117827,41.739781979919535,41.701148119260445,41.28163651614188,40.61063570779174,41.90709161834761,43.31727680877868,46.8584139642875,46.66494986653184,45.66082640864222,46.244015566847416,47.69604644102686,48.46671446335785,54.77349280923059,51.498468868770274,51.04134747839864,55.54312797942383,56.54996077763846,57.195478074548134,56.986176382750536,61.00795422856186,61.037535061897785,57.71271334529525,62.11601495605279,64.3365645644307,63.554273030478214,65.12403757176693,59.875967031194854,62.61056703310735,65.42525354661832,61.22914668299206,59.30802127026228,63.87062347109946,64.36393543668036,59.24038418135545,58.629276362844244,55.71934300525215,56.82920571866665,56.078818599358634,52.73230256706776,48.12008766307718,44.93482787594064,41.303356362646646,37.979574132164,36.677605271571984,36.54183570105988,39.270186750695004,43.76827777105357,44.02357585720691,49.52714206165516,50.87312449038892,52.98330592063948,53.78354431196657,56.01229509426763,55.28515672527935,56.40250803900374,54.29532924570787,56.265742356640075,53.43146773279158,51.01512210559643,51.684888838887105,51.38770904082087,49.71058300450593,50.83992813487257,47.278278533947834,47.927999106741034,44.22941539749661,42.47733502862246,38.671700070118675,36.65280173334759,33.42098166669939,37.94796414084988,36.56844894540071,37.97977369037831,41.84651764893499,43.013483932131805,45.65004408887376,45.67925952931098,50.35583967825718,46.40418451924932,49.449480065829626,49.75546700827768,45.90500921088819,44.27506114327555,40.154665421558526,39.99977807390407,35.54499260612974,36.69117253689645,34.78902971680438,35.2549301833752,37.12844524899011,38.031826005458804,39.79954425468535,37.549398115082965,34.46100569042981,32.365915246616304,31.990737253469387,31.602070853876704,30.83484591013572,35.38770243097255,35.25410836713589,39.336356255227955,42.41150315181258,46.37954230790363,47.245260246516146,51.34744764940938,52.1364233237427,51.895474908610524,48.61418520697477,44.20215645749708,43.17739008085227,41.16716605655978,38.92420244351776,40.546795524012275,40.76458047541458,44.81516121514532,43.515911812393206,42.38209746894431,45.20286245249214,42.89449414958708,40.438137322085375,39.355761587736296,39.66862348995963,35.99251646441741,37.74579113993286,34.45424167059543,38.31687887934208,34.572497569250544,35.028639164475315,38.08686951334867,37.29820815101331,40.111863353002974,40.515618343355136,42.91928976102476,43.70761784705635,45.044525871626135,44.75171659055579,48.79663788093852,50.46291481394708,48.51522513653903,51.29627105296744,52.74882262715782,50.80917222557917,47.01847474814533,47.70794104570826,45.38408449586594,48.44002751386442,48.89157867366781,48.88699912707077,49.2432019737638,46.294117143730325,51.525424100642134,52.17618815807568,53.66249021069753,53.18482076743826,49.71504301403251,54.751820494047486,57.42889259276694,54.585178782712624,56.63106163484777,54.51373976512473,59.32618205958472,57.21859063820792,59.37113847828773,60.41306424300585,57.239252090244385,57.07703602684196,55.05487339436309,55.63553566274283,56.1087992598567,51.43275042095531,52.39818945426054,49.56187393563126,47.57888609639996,49.6170646321524,47.04316741058705,43.85249167965507,45.065392265884846,46.404548427734355,41.80258394941769,39.96806295564291,43.133312878651374,42.928679315206246,37.366607237192504,38.360483025138045,39.960405613218185,36.2159975631587,33.834204472698524,37.25185310575228,38.9096687720664,42.17194959295537,45.091397489008244,45.51104971997177,47.470718330382795,52.84827387492605,54.84286322643867,57.76044708675772,57.87223773804722,57.76254041309609,60.414721993174595,58.17861183219331,62.705101898202585,61.68563221648203,55.918475876298054,58.66883173964492,62.3779926421532,58.402591983345275,56.45753418646012,60.047417941020704,60.47904324322184,56.25567777309507,55.54370777754109,51.8915853499301,53.58017281157232,56.273824878302385,54.251659638205766,55.76473062450281,56.51653925985526,53.86431420215761,51.3153781860397,51.77482731325171,51.10588011327685,47.00696193330196,46.27798241894401,46.184455135241166,43.26689114609401,41.656099232510634,45.677877489751296,44.11024003109949,39.354217083139055,42.34618877632801,45.99990470945573,46.613971984409126,50.068700361222675,50.15481791795975,54.25668961546135,52.15985712108263,47.699433295158805,52.1143746605144,53.452091827266386,50.19556043092527,50.180609932414086,55.920538479741495,54.18965709063618,49.701700108809625,53.05647123027502,57.18360110637115,54.833761350515196,51.229082909571346,46.47476909068991,49.6916875113704,45.49764132533614,45.13919053058853,40.337520311147,40.628495104911906,35.98263155805639,36.0938683767959,38.91372366377005,42.2199074570717,43.52223916575942,44.61234262041001,41.04281841265431,43.989317674496455,39.63133183755544,37.79492966764411,40.59672421712976,41.47292309917786,39.24596655290983,36.49343425682908,36.37438657621022,35.84744203659616,32.86557105071787,30.876906216257485,33.27643730004798,32.34431911211985,33.225201596474854,34.67271838676032,34.67886956757092],[25.17777731897682,27.175438513674575,31.126293300153254,28.15769423091717,33.40553738548021,29.82214503012823,31.345430725274465,33.32879596906025,29.9918487466661,31.667769759184196,31.799914405907668,34.10795345855638,36.55650570811809,33.16401490724005,36.721402752675026,39.605078590638605,39.5804618930837,42.8814790561491,44.8764137512717,48.56694790165176,51.14504406107979,55.606170788641094,55.839443729108325,55.29751052110829,53.47401438853826,48.9724032709051,48.02110183711231,44.175784131125745,44.37014382308967,43.92549977877259,43.89163039248798,44.80883488856266,46.52220343788985,50.23199061277132,49.73916510181201,48.651788241977876,48.89858730703243,50.26565439418334,50.77215399970199,56.96370299335914,53.63219013132886,53.59882498486237,58.147114916903135,58.946597098963146,59.502476239647365,58.98368456149161,63.04966616591225,63.30030031203129,59.753344548006424,63.93793924745787,66.41899413785097,65.5797906402629,67.40434165503504,62.12409640719421,65.10108467189792,68.0375904234776,63.877337179024344,62.122445166338245,66.79417886283478,67.20865299585923,62.21983903241176,61.90924543229874,59.133629897927825,60.290804840029274,59.28709000884799,55.86334386306327,51.435063200177794,48.25973366928101,44.67022027420466,41.465640884281385,40.16026748545143,40.315974725861224,43.06731671055258,47.48296522162424,47.645100599157544,53.316157664460626,54.3272715928565,56.54526463897806,57.074729893130375,59.099892456717974,58.10690397496046,58.913949698365016,56.62633770620657,58.32831121185449,55.435556757716604,53.321801406023376,54.32650742529551,54.15517556553265,52.76478933724649,54.172080806814535,50.76490263699176,51.73048561166015,47.98900647471306,46.10781531970603,42.096006680304576,40.32259481195902,36.862842101586985,41.086919448628336,39.364942895293225,40.46467201583573,44.392771579744,44.96839443378909,47.79224932374728,47.249291384017745,51.696566848368725,47.422450497975724,50.10902625112827,50.17481298618502,46.09764459042087,44.82722612945586,40.62661241541056,40.96281530262694,36.71448280041491,37.982528065433485,36.63871109468483,36.997761292114504,39.309621103216415,40.04437847344014,42.41393131184518,40.30780400122164,37.09731431258785,34.808072185009095,33.88830002562061,33.23391183843918,32.15369593662974,36.26851889056885,35.782943895906406,39.90902907126664,42.74556314658612,47.007955055567656,47.364282518260445,51.49903800786283,52.481277472310104,52.5882911825387,49.19385884040159,44.92734369527074,43.35094266886798,41.7863433808375,39.72826306840148,41.77524640939972,42.15161514544,46.4625731888689,45.4767176901629,44.163023221741696,47.15879890202204,45.04696538044338,42.36529443931297,41.30251244927871,41.31275487378529,37.61979116351743,39.03985283068751,36.019517521075684,39.78026178171567,36.08979255688543,37.09909181162867,40.10525665496971,39.40175379709509,41.81748275940222,42.580201767826715,44.40715016822003,45.16384660863745,46.989957832482,46.34815538795783,50.58292686798401,51.80833231833209,49.65781641671619,52.10680135035736,53.38314164326599,51.13426923629949,47.53353547453692,48.27078853794194,46.32052017758693,49.62948010683637,50.28231528548649,50.56139090355631,50.96394729759646,48.372493307175304,53.57316049534527,54.11107486430089,55.34755876190429,54.66068324632775,50.91123216130186,55.780532986408545,58.40380950801237,55.644276228548975,58.09334999399891,56.29538964864596,60.97390692565724,58.72882756983381,60.61980385640733,61.36515305577233,58.23176685101247,57.683166335654356,55.4641324983637,55.84911292804995,55.99320512786761,51.234413575062376,52.05841319281574,48.925421704998335,47.21512856570216,48.85024636812809,46.49895597500314,43.38666473452138,44.05809862175145,45.30674666821001,40.87779067633508,38.7147355288732,41.600281862609954,41.556796823855606,35.948534534333,36.526631869725,37.986850928552236,34.52061863765106,31.855537243525145,34.80197426388357,36.56541566370772,39.68733167718034,42.59690053604112,43.358314185711194,45.20921452114109,50.63458489390234,52.35387158364022,55.510562749663265,55.996981894525675,56.15747365923942,59.033151972690604,57.15199123240937,61.6114930634986,60.26100647576716,54.68561263690382,57.72088744462333,61.1939868585966,57.05906533338019,55.421008544552784,59.21315822844981,59.232699185126,54.94824660849077,54.80300218069792,50.96083700155418,53.15490141495193,55.70751871653299,53.53977945471637,55.35265395300846,55.93969967976558,53.687724088367226,51.04589213779645,51.05310949999127,50.653996117885086,46.72333396967673,45.50557615498265,45.37444168457151,42.57708739621571,40.65737260789342,44.39414892254246,42.86822700222443,38.04785956765593,40.65425203769979,44.21739157114344,44.82158537941365,48.49723439093673,48.915451620706676,52.86124279965647,50.36748846752513,46.09973234030211,50.71257203170892,51.662806219463455,48.31101666055163,48.6623919689913,54.21708530247409,52.11416944131126,47.82843789643495,51.49536189991686,55.31724559505837,52.679226994869836,49.18620128536914,44.45333188325407,47.350806314599744,43.08634337842724,42.54436583583277,38.02222488088366,38.666806590027136,34.25043140901815,34.127759791546616,37.19205085093013,40.38856061587596,42.05907915442778,43.26016070935327,40.219467437077824,43.49812622112995,39.4683326933626,37.32561680577237,40.49427052126675,41.13051892827334,39.42419455620105,36.48031313472684,35.75540559547521,35.48950283129082,33.08253387395707,30.327271379956976,32.32145214554252,31.42808444569629,32.18475226866898,33.46456384015022,33.21509172512548],[21.13560252331824,23.32961276763458,27.42501256050908,24.920871322351505,30.246207026196323,26.410664747307912,28.245698355473504,30.102509322843993,27.098006773396325,29.27355696359131,29.587372762037425,31.596386822273274,34.268637327704774,31.291224093881418,34.9690818318803,37.65041981508598,37.78650580265734,41.390805441346146,43.75460657687018,47.1692504240042,50.03249324391397,54.36905961780341,54.87230152681485,54.39564370317439,52.27659513411116,47.81716252622091,46.513674108500396,42.539543444801176,42.58633210522297,41.83367644672468,42.236693077801526,42.63270390638153,44.46814497343705,48.410806631051706,47.76237514919305,46.83700808247887,46.69694723647439,48.34999668291087,48.82851264740129,54.879641467983085,51.84820905727687,52.04034588332556,56.53734063390277,57.39905305284669,58.14755227863492,57.49510054552349,61.63112121933005,61.772578799165196,57.950994542732694,62.11252331503191,64.54380563638689,63.502704201977785,65.41566643802439,60.118381928673685,63.01800886069254,66.19224639216473,62.20616915273806,60.344763258280565,65.07435860447617,65.6968468073928,60.81874121168448,60.61061093694604,57.83846669240825,59.296416677999794,58.16222568879914,54.53053048875221,50.45034775011218,47.07408240111179,43.80019042301242,40.475533412343104,39.43508659274326,39.9609111611375,42.39278834819865,46.836570979014574,46.576272546160546,52.326759727902136,53.024775504364726,55.125098771655,55.44876727751216,57.39018010749745,56.057177946763694,56.76512192630375,54.17494569087316,55.83747928854013,53.09236340955474,51.04375092323577,52.374993405546135,52.0252339811465,51.04638856145731,52.42867865480867,49.27423503998303,50.524993290055974,46.67622249941582,44.53546027391341,40.390842824957545,38.786622634771376,35.19047189379189,38.96185225270803,36.9319782913136,37.6302429575839,41.74462130414753,41.87955817146218,44.97651765877415,44.086551329713686,48.55882421502605,44.16339879271865,46.63649150147084,46.77474866121097,42.634810787684025,41.35180722887777,37.21964302232528,37.91222878734718,33.765970870220265,35.391191997020925,34.41471908380184,35.06666172060595,37.629737030516885,38.63256810062876,41.37974349536075,38.993140961834555,35.882552222962715,33.286678208495694,32.369616812139796,31.28005489350604,29.743519778878884,33.715809761779674,32.67283813002454,36.92239209636499,39.581244197290204,43.88229028393593,44.24376171048045,48.26041039277669,49.50520150910195,49.52874418950397,46.38002971632175,42.20648360204921,40.625718890681426,39.427325726336235,37.689920538941934,39.755613322843814,40.670180241170854,45.09038953722723,43.983556194884365,42.36672469783754,45.29963725916157,43.03878936215875,40.25906706050693,38.91934535622897,38.59767718276018,34.76327629746325,35.81055213261424,32.78303866051989,36.34112657582622,32.595151363973635,33.96287073691995,37.00299035578697,36.51305041386224,38.70810205611879,39.838772659658346,41.4257561051392,42.49223640524424,44.62536636966953,44.150525269606305,48.35118686743273,49.58743302647354,47.641032184957126,49.820481659828026,51.292165513623345,48.852048305212556,45.32710978004099,45.83619640174464,43.976290194654645,47.14898181460342,47.681879284772,47.946242856231585,48.15660046797225,45.75729749204118,50.814718583277504,51.514077951410066,52.551654282879625,52.0234381565407,47.9726071730422,52.89643579155181,55.61966043426094,53.01789538945179,55.72658311244197,54.14223071233355,58.84094705595298,56.86818873237156,58.47471900689381,59.149709005068544,55.86249185224872,55.156752647513095,52.78586968807954,52.98649557907049,52.98737298718166,48.19929583017044,48.784811599843714,45.54995333790262,43.70534409483574,45.155339036762,42.69095766806755,39.72058734632921,40.39702837467573,41.43293490674488,36.986341302765126,35.08633435023307,37.79453906711441,37.502541242955445,32.01975946858155,32.68496268744442,33.99158501745976,30.422953145765458,27.958430785276466,30.97407718561877,32.87964044315186,35.819560931068914,39.0985684025376,39.646530974930954,41.359196999931626,46.806387937998345,48.49969651934884,51.639545299516,51.99177185355445,52.193503569716164,55.04362433097208,53.18712074309764,57.711048128281334,56.40427202545858,50.88478648438255,53.9449964469197,57.51075388425866,53.45107638635374,51.844207703545706,55.68883940834591,55.8338990782508,51.598595594797594,51.527495825959505,47.48852769603303,49.591729473270675,52.018437374024415,49.67292670523948,51.45033945320247,51.87803092823389,49.726175701497866,47.15148571300479,46.98728908550249,46.53551716524134,42.706227892964066,41.43826797710933,41.17886938265917,38.37539219213097,36.50359453448005,40.17987051587235,38.59232590169691,33.78219677988849,36.45841522731844,40.00314110752215,40.687891766105615,44.34864366367843,44.81761651685467,48.79425161173315,46.31705066598403,42.13786545172731,46.7890174352518,47.79366923747802,44.498523231945875,44.958950201055494,50.4998133548407,48.512948447828585,44.32060091146914,48.02374522671268,51.84371073974991,49.33501196685238,45.91954455553444,41.23495981850626,44.350800411352076,40.191861379920866,39.367692588714924,34.86214643166999,35.21541640803696,30.724327563478152,30.992492533304876,34.073175614974566,37.41782440900537,39.00947017882482,39.90010716886767,36.91159099305327,40.11955589133969,36.212294797506765,33.745466459956255,36.759195131278624,37.20033488280234,35.55832394061564,32.7531077063,31.802038349024002,31.417169109187334,29.284433554087567,26.432961133713015,28.177852719250396,27.17912060397678,27.935722075292066,29.257413534194416,29.08907784010343],[22.37787400304483,24.360951522455295,28.027510303348627,25.196237468850853,29.99387069349783,25.54788175736713,26.776730572537506,28.23254314646786,24.689362389268805,26.549516768139974,26.370356591254218,28.374019250553403,31.26372474259851,28.106781138835192,31.39553967387016,34.24176029559674,34.66427742730741,38.03255058969129,40.51372601136838,43.981957052878684,46.79828123268338,51.23048348686216,51.74031019858596,51.50269216022538,49.45218074364712,44.93900833529541,43.750525122185095,39.74516903052817,39.51195564310228,38.70953817859368,38.539715113814125,39.21438103503641,40.76426413263278,44.608236657188556,44.239495067769816,43.43742147524539,43.56446958314848,45.379630448790756,46.13436082341777,52.299176936264416,49.37526375090754,49.173716292130536,53.62605020904147,54.72050138761249,55.59998404751993,55.237012825592124,59.348581576972514,59.245226714064295,55.59125980093948,59.98440739268642,62.141648815677705,61.11788660056747,62.787454237525516,57.50825560073353,60.14554244495064,63.248960113346016,59.251531420568014,57.18949902527758,61.82830135434803,62.577414537850046,57.570192417378216,57.07336505859054,54.155118933306696,55.63344000091317,54.72887600124248,51.1230234686199,46.917241251557854,43.472013829154946,40.21565255596141,36.72101234765481,35.74709625795458,36.067896841445844,38.40322307109209,42.95773665625666,42.689614454548654,48.30795399720198,49.28326615419894,51.25026135567344,51.81224689901717,53.95555862457675,52.82282748234937,53.83996140782933,51.364780212110105,53.31188460646823,50.6503826150289,48.28572025862636,49.33830444993372,48.814513708345736,47.62150255826209,48.70897961495254,45.438146722692125,46.43150615722482,42.58226928631919,40.49899163315753,36.51314908020929,34.67657517492597,31.25743992215878,35.268429997748015,33.51325329490072,34.45568424623435,38.588620872646125,39.2686472717268,42.24607320879645,41.89869748852977,46.64780310858298,42.559811256688974,45.39106343399134,45.80536227103679,41.8889315264229,40.20479778285359,36.15727179216956,36.38126273710306,32.000919589480596,33.57838310215025,32.06538657973428,32.90238702839145,35.068426658612715,36.3127059593805,38.52661299751821,35.91316429840608,32.93615210425646,30.453750445853522,30.109912579232486,29.200226622746147,27.893629818372755,32.34651484436405,31.58047873981065,35.826679336372145,38.724203777447066,42.726949100135236,43.6411489307687,47.61058015221496,48.696169356636865,48.3333453637859,45.34065210164545,41.01547452319111,40.02037665694559,38.4046020292181,36.520991997508695,38.147534513625274,39.00144133218455,43.18444856204037,41.72242422067093,40.22681892831133,42.974922724612426,40.46555398232372,37.89008804039622,36.46113599915814,36.39331386435355,32.516939465436394,33.85939343181969,30.498262495917995,34.15243829497354,30.291080187769143,31.136062372315298,34.278285497274155,33.74352242751244,36.34743250601159,37.176359525934195,39.35215937620307,40.52309417595637,42.2048137321759,42.134414795933566,46.14407306982204,47.851906299034205,46.15228589320408,48.63683614918662,50.32984806204848,48.17759949278674,44.457046152824795,44.87932835648925,42.63317910719823,45.52215261683829,45.81980061318319,45.77909961659784,45.900884100217674,43.14500137842367,48.22835765204104,49.0865141930002,50.35320123537418,50.078647046794956,46.25418106113442,51.383220069952664,54.189146514699836,51.52017753551204,53.85919450282224,51.974892382712795,56.830417120447436,55.047355506606614,56.87812109052007,57.85011732526655,54.488495775915595,54.15817056891223,51.96528059034787,52.34305682469381,52.66905521636514,47.958504259690905,48.65756936579505,45.721163359516545,43.559229300172966,45.41753720648925,42.690794551099025,39.6543938891308,40.92410454100411,42.026523580781564,37.38667220865755,35.889075251860625,38.87616725569971,38.37121553632004,32.9659573414902,34.10319565568955,35.53954963036617,31.658165668994855,29.54985745169248,33.079865124078495,34.87610027633792,37.933752964138606,41.25451170189748,41.40922099453113,43.216663147919824,48.6021407733615,50.57598504000682,53.458207804555094,53.39506501293191,53.31452030867087,55.91895048233887,53.687318918085495,58.2917371385764,57.344868559239636,51.63341993712848,54.39201293682789,58.22167151962018,54.34459374569674,52.41644800150572,56.05674999429306,56.65483627718599,52.48938367798667,51.82975592800469,47.96164560944819,49.51017678683712,52.06970354769778,49.85009954390053,51.29811572407768,51.875203789319926,49.30619356821933,46.842223909101385,47.13970271773615,46.382413962635475,42.38146203491261,41.64289215838443,41.40005076363623,38.458626920380894,36.94139419352921,40.92056534184009,39.274657475047626,34.54752482813135,37.65754925957624,41.29002715974789,41.999211321376805,45.41144260174178,45.5282545801172,49.677256762396084,47.63207928423764,43.26438512821136,47.70246928908798,49.130209780415754,45.95017302343825,46.03133567211151,51.76346954645091,50.188613863176485,45.80029141622644,49.17129862187981,53.31135893138869,51.12613824699116,47.60541298456317,42.91234898623131,46.38187074018281,42.322429714950125,41.66281882347323,36.8725850680572,36.81338457308027,32.07315741168116,32.637758339960826,35.45062148201469,38.925309631309226,40.11236994942018,40.843505042824034,37.2888534881985,40.12797534809532,35.87243010408498,33.6861320901153,36.272107216939695,36.946111948033675,34.72791035799864,32.15366881807691,31.845365517389244,31.139004144117834,28.389680444075353,26.395595076350926,28.57112196863865,27.507531224744763,28.40331018938886,29.935775126982982,30.07253684065461],[24.03206202358884,26.369700749536435,30.083358189240496,27.899363731637933,32.422160693676105,27.23623858309455,28.398365326996245,29.105850566976798,25.542335216122392,27.73240446027099,27.025588389062598,28.39195462413492,32.055266942931276,29.249370155420387,31.929754841881167,34.75558595683122,35.85478474779942,39.12995100150582,42.07114219057249,45.344855813495776,48.300711027792545,52.727583176891514,53.43984685205733,53.53871711247214,51.38929769301074,46.88459490143579,45.57170636299327,41.4639222657979,40.71084069516841,39.46347638759127,38.82899457870401,39.27842700158253,40.3512951592135,44.327030342375345,44.35420449678043,44.02852034498841,44.087966761218674,46.513182034115474,47.600585703406026,53.702436772862185,51.23623908273444,50.77151641099335,55.08364582419763,56.51050461234578,57.68552495272359,57.527292662396576,61.63881505132682,61.19479995082489,57.511577257919704,62.09602833142976,63.90601838285398,62.70599017199205,64.16866825449691,58.923972695739316,61.10951762479486,64.36841401907681,60.55513380528666,58.109333503369925,62.64454284170935,63.78963902340098,58.72862136804653,57.877676587673804,54.72499082159589,56.49697855066201,55.86707135785964,52.14866428138707,48.07516264046318,44.3884740083305,41.45429839639483,37.63212869879429,36.983633544746205,37.160486649866584,39.088064783735895,43.816586254630295,43.198783270462656,48.55632753552402,49.77476234831419,51.31794761335027,52.11769878141577,54.51814235392654,53.303319905254256,54.68047829189645,51.96711906833187,54.26473015905096,51.93078261286722,49.24613078778263,50.29481674842766,49.25532000004183,48.24336490305763,48.70627193467451,45.557746366058765,46.291250686366844,42.34532645187588,40.05336121520153,36.33924852420115,34.15653522565946,31.084678383723432,34.8080546043094,33.12130257100606,33.534311770075284,38.26293627423924,39.0252480212672,42.407024650203695,42.24268079406202,47.40654216390504,43.50466679971831,46.29237317180061,47.122098832149426,43.32338912404296,41.25518028918463,37.47465787603243,37.843434719102504,33.442090999462884,35.448834992629486,33.82882674955054,35.148976639176645,37.08867370476948,38.78206494063006,40.65919634532835,37.60238381265615,34.922697321619076,32.38439392334367,32.66476768274991,31.582605609547993,30.05790913344061,34.693619761348586,33.44684389112012,37.800831686834506,40.59779146910324,44.36205188122714,45.71474723928027,49.44621618852769,50.7759620534187,49.983688172852816,47.47858383307637,43.188268811156235,42.617597368816995,41.11961879651338,39.44789482860325,40.74220330922223,41.9572040524975,45.97621877374281,44.12123996328209,42.514988823832994,44.98937951245349,42.075906903393744,39.66938831713394,37.8211594490231,37.60650471213351,33.50638461804605,34.51110439861514,30.631896942475304,33.7661144426517,29.277545521615494,30.18161278063905,33.7679379903724,33.76303188535912,36.582833131509155,37.666944279694086,40.25398999084328,42.02563795959467,43.56296654919964,44.13880485769884,47.87103571011341,50.040003749060546,48.76236611327056,51.21426748510766,53.228907305579654,51.10753406359952,47.360493032237365,47.50523447390018,45.08358202281508,47.55555562626825,47.47706921207091,47.07641311662198,46.792469009533555,43.86825890942746,48.69625291129954,50.047841559054255,51.300650648508714,51.56256383518198,47.585627174307746,52.965095328593236,55.96596544476836,53.45248922994593,55.725914279814795,53.78033895267293,58.78501023581842,57.445521122287815,59.20304854984262,60.347033026062896,56.78979764891704,56.59027869358824,54.37322500943183,54.65503378638363,55.00727724542849,50.33714058056775,50.771659325480805,47.87230475112278,45.330865298559594,47.0692522896814,43.97798074340556,41.231788062544204,42.81443885182234,43.49498457758178,38.78006305543841,38.011002137783294,40.694900557083876,39.51573450133055,34.56406386475299,35.975578625138496,36.99806891673756,32.86143465829673,31.402135310808312,34.941346219921975,37.04609929190638,39.58270972708802,43.65438573480327,43.450080112013644,44.906770053666676,50.292202981099166,52.0639309614981,54.98187866938522,54.59638902756575,54.61268860509456,57.070448582445174,54.78020878967712,59.54686664573218,58.834899255077886,53.2329941673657,55.89960188132077,59.99531028569953,56.34255048384004,54.37081464878531,57.9881522620513,58.95882374854335,54.913724472094316,54.14379272175117,50.08354156963873,51.172219527665646,53.559290584890846,51.046342986719644,52.169761620909235,52.38444549175168,49.78955025363802,47.64262686368671,47.78705658967102,46.58378479806907,42.83589755734142,42.37766468865613,41.63661060256771,38.56942654919879,37.57099728775215,41.376440684002155,39.342508909873615,34.82353390616884,38.33529903028251,41.78963205466474,42.884445349392585,46.18111146153785,46.3898239420228,50.657627100610114,48.749654666474456,44.669646110106285,49.107935753062186,50.7324898466037,47.72360936144213,47.971035987412236,53.66254944041446,52.35343448106066,48.157482682727036,51.50366138945129,55.65717391705203,53.71009928068824,50.32532908425412,45.741731763364754,49.45289178174127,45.55619278186244,44.5329747852312,39.85033871811487,39.37517672732725,34.5618552452597,35.697140677447344,38.45894217923007,42.08558556548364,43.09590545950026,43.371497530798365,39.727417440406626,42.243706616417484,38.01488491338389,35.51369350222216,37.433319620736086,37.80210063191007,35.215772090579506,33.29336584299011,32.94874824701323,31.579495150090224,29.096508977260648,27.70825393869121,29.36559395857247,27.7617795733665,28.574112311280675,30.214038805701005,30.465131678441264],[27.63684271593795,29.525605825775028,32.83572794720093,29.83849469763854,34.03637899971777,29.086427870260327,29.59353637111101,30.435806982910865,26.306590071003104,27.61081850514311,26.576605010146544,28.43922758625583,31.670890204854445,28.26620270772999,30.693216746566833,33.80323481931966,34.70705604665523,37.51138634715539,40.014540378261486,43.61769183491137,46.210695450113384,50.79495919119438,51.199507019587315,51.306701107976814,49.51268057636881,44.95981909931112,44.09828147403298,40.16075108223043,39.52547461456653,38.70401648054468,37.39694374027232,38.64007267929309,39.5486738451796,43.135363950825756,43.373254878223506,42.813097347824225,43.46039484190679,45.493759919942505,46.678336039394146,52.966453790742314,50.166080208137885,49.30549487297125,53.652177785970835,55.066162704054484,56.06005143610138,56.16460079630331,60.17462958715436,59.76469421310429,56.47932934957509,61.157301558549975,62.927841581647485,61.9891904980014,63.26348611067843,58.059167502246346,60.280648115072616,63.202206553525784,59.17397195207917,56.82780027138971,61.26305819475316,62.16814471295073,56.95145150743205,55.92037094096768,52.7509460537521,54.15265763297922,53.72282703965493,50.26897632779899,45.761578741834,42.31341012016833,39.01500157659614,35.31445588102158,34.366514752553385,34.07659537168065,36.34761431041932,41.04982648770607,40.944368418792635,46.18698065797169,47.816129385103956,49.51348152478864,50.59374067245117,53.11597769507969,52.401041746177846,53.95244691513368,51.71097571255563,54.10086138640104,51.58567633784369,48.753813297179654,49.29241649996827,48.48808118515066,46.87345838523987,47.36608187648806,43.86531210549765,44.220271808515314,40.4371073168551,38.5373461266716,35.013021202251586,32.63170933001667,29.751818893230887,34.1701087599132,33.00067697851346,34.20240965319829,38.44110827415913,39.981293534328564,42.80921376911805,43.284074442540245,48.396116888579805,44.78112005863753,47.99638619554211,48.7702551894312,45.159764961085095,43.01488795469801,39.165121282925156,38.8439334862505,34.27172247933679,35.728217746595845,33.47133837887371,34.46529651177457,35.94534040864109,37.40359721252314,38.64322072050343,35.8493623037409,33.1166701710496,31.004261230071677,31.490037197992404,30.99930135533453,30.146090980222727,35.075535890458006,34.69925250781526,38.83654034131939,41.95018458848859,45.53993042920221,47.07298491762855,50.94356430062188,51.835045098622444,51.02383590710982,48.24280463841132,43.79231188877128,43.462558263024334,41.34307690045819,39.242033068860785,40.32677170659294,40.90390752691366,44.67791487352206,42.823312520452454,41.623006979619916,44.09128059763616,41.30328983744565,39.10093568047219,37.616270725732214,37.94330481872971,34.0987504189257,35.76737728845223,31.956309490391277,35.50346364626759,31.36313312571413,31.492026889030065,34.852881202253556,34.3924884509115,37.57705571819667,37.98115965119549,41.009109486830184,42.32047515070402,43.298627632997615,43.77037802574419,47.46301601457934,49.76875392524253,48.34814337192802,51.2360374025478,53.11069285629751,51.34941710955144,47.44216620593141,47.81828999669298,45.14026304263872,47.66562584990787,47.66937273324356,47.20630152383942,47.19209861765771,43.93282232924177,48.96249202839577,50.07741815541135,51.66957305668346,51.760607131232995,48.30263230426346,53.63668838219542,56.51229437077112,53.77225208604671,55.56698223131145,53.25693683872438,58.26964415855165,56.67719697572087,58.855623451342,60.20347054300379,56.81379472281664,56.965922495343335,55.021751997584964,55.61564884847324,56.297180349881934,51.71269373372944,52.52762738854083,49.91393105862632,47.44689194241058,49.651668836419354,46.658757945630825,43.64494744751951,45.4612173882579,46.54098985039911,41.779997243290865,40.73028825158038,43.85293266584269,43.05404530976639,37.86719937180132,39.36071020789747,40.77292138732347,36.66731656310407,34.949878869602436,38.73022814421089,40.51857712888869,43.512029017521705,46.98186284611913,46.85658867419888,48.64172295922515,53.966956483206175,56.0424855440255,58.77913492170784,58.36847494329694,58.11810490263621,60.49089826566599,57.95803564806628,62.63956239891604,62.03615665716046,56.22384639002252,58.697152338808834,62.76976984520502,59.09245339974676,56.9018203417901,60.33322514315376,61.353338852606136,57.27499788399458,56.09329580114509,52.408134002062255,53.38673794962098,56.03300377842295,53.89395625826462,54.96078016533629,55.5732405047575,52.63459876739511,50.37912334357908,51.04819270466155,49.89551080259972,45.85992549906405,45.66987428171416,45.28444074618062,42.21909625179069,41.172799722946294,45.27726282480177,43.45704832148268,38.914906114551265,42.42422566599909,46.0195050817547,46.87604728129763,50.066446539779186,49.957896201849934,54.24246097612517,52.550697125548545,48.155164212665774,52.408419524869394,54.17575278206696,51.12549594670225,50.963655570571184,56.79767158866382,55.55464772584297,51.07628936905123,54.179922027529024,58.53587016891983,56.602294172040146,53.0315639424131,48.3616058320134,52.0347859003051,48.046671930119544,47.49898825810263,42.57421635560298,42.24852666109414,37.386536694084135,38.1491263586848,40.75123402115411,44.27185855820077,45.15750661240967,45.76574296342517,41.777932615456315,44.229617464552454,39.70350592250308,37.805682299322434,39.849296836296816,40.66617289242001,37.84659634284358,35.694082735298586,35.963920892595034,34.81939831658089,31.63740430280511,30.607820131609575,32.9401826441136,31.64460692857796,32.55300394053886,34.18255161955037,34.44973249762355],[27.320387933522337,29.44423410165427,32.65806519493881,30.419704149347176,34.22412009221488,28.50184184293989,28.974824836748546,28.97467843747207,25.00801632453886,26.826919856072735,25.35480813674605,26.37103765107004,30.45940165701976,27.70192316788367,29.534070053902827,32.4593117781047,34.13270439882585,36.99399390285386,40.16579807699097,43.362105572793695,46.25451398403425,50.71837025787786,51.49410572611329,51.97152746094431,49.903351952403064,45.42272347992248,44.22643633578366,40.14742735189155,38.90860670483115,37.471131186619296,35.96855917897706,36.66633579042113,37.16160201438357,40.99529743914876,41.5280563473115,41.540557918548025,41.89555441507422,44.68204163496514,46.17627793949355,52.283743140010515,50.12572839637187,49.13912258063046,53.28848622198257,55.06153662025064,56.45898612341437,56.68839582382856,60.717676820656735,59.90423728239103,56.449093623020985,61.284325020070405,62.66899887623825,61.450133028419856,62.5597380538165,57.40444853583956,59.12385716324396,62.32008421239273,58.59183065913869,55.81652886662825,60.16592340426889,61.57976358652056,56.402638953328264,55.09901636001653,51.72176320312547,53.601130805689195,53.350171430596816,49.67238187729862,45.5586696888732,41.76827826656798,39.036575453841,34.976216765051056,34.55310560914343,34.404740832361156,36.002308861244856,40.84012449289239,40.09216950555199,45.09761220588604,46.73499652901523,47.93433993675443,49.10674535519099,51.81439508087231,50.823313129451,52.667859630316556,50.04395840725071,52.75391650257427,50.65435689742636,47.550160812999394,48.25807769461084,46.84688734612619,45.66058990829817,45.522938218161485,42.32305664671326,42.616286733524724,38.68937340750099,36.42252314311545,33.11162058738452,30.51531132793113,27.9319390496855,31.736288573481072,30.485970480438407,30.97083490479768,35.84255426195979,37.27898824108174,40.591359082558775,41.12152594787023,46.62510693707518,43.196784468412105,46.293700371006715,47.51836324932499,44.05948616695615,41.516558593525204,38.00635663276848,37.92259678955929,33.41982459298766,35.43804061367798,33.26657498601231,34.89318778638036,36.26126226409944,38.30915543912462,39.43547031574323,36.05634606500456,33.72506658004371,31.399384364620733,32.50478345264387,31.60745400569022,30.327133445864746,35.31417585754985,34.25300833989898,38.48477396878589,41.41179731881724,44.71594252737081,46.7208887866769,50.273603504583605,51.488863794926885,50.19246503398719,48.03253738580608,43.687151299847045,43.82616852126336,41.982341218128546,40.26624635293123,40.99756542256531,42.22166457940917,45.855641726129534,43.55023321255509,42.07929145903002,44.211519138758376,40.95754271934391,38.8986883981412,36.86287278743368,36.888292638760575,32.80640199047573,33.98433072322541,29.695168050701877,32.62285238483026,27.928643512592917,28.16618939127221,31.933666495557627,32.08451075667856,35.37652764949754,36.17109948053532,39.49882829378584,41.538175481262776,42.49541023966028,43.70807192638675,47.06878472015331,49.838676883407004,48.96672580240021,51.67704520821773,53.97102914916525,52.176362284141,48.29566934081936,48.276268793809564,45.46623882750666,47.47264705568372,47.03259300062356,46.19481567374567,45.68467428086193,42.36038989900448,47.03560475515797,48.711746730187336,50.194232560636905,50.90097351032528,47.19133551766236,52.77176313980192,55.87258060038774,53.37213128995045,55.20038183616199,52.94343924512479,58.09100807521398,57.102162247387206,59.0509923530703,60.54055329671112,56.89267371437852,57.12114726091933,55.10770086643279,55.53614242288995,56.21051994208596,51.6944355197173,52.16441524367133,49.6124078692474,46.70985075602357,48.78249571082001,45.3988264997784,42.726115148753614,44.92012570457852,45.54564638870636,40.73427379867715,40.53077839167726,43.338673562953225,41.83098319741381,37.18432497863179,39.0351463394962,40.05908791021131,35.70111589609802,34.72308995403727,38.60591372884759,40.6356771781276,43.12291849232386,47.317720274724394,46.70170304419322,48.145003188246896,53.402982684369725,55.36369308254648,58.02176763219181,57.17722659137804,56.95091784805304,59.10665187201091,56.46378001011454,61.29543724171432,61.0014170285366,55.30768217454015,57.625333792511995,61.9991677219121,58.616946169087555,56.350526642339844,59.7198666113731,61.21166099318682,57.30508789346663,55.95660378018096,52.070502250208136,52.48244234481262,54.922370552210054,52.492249011040016,53.18056583190646,53.44173088891802,50.4544055847867,48.549446981354016,49.113373921983325,47.49899878712566,43.72644332843991,43.886230247678924,43.04362235083856,39.88120335611844,39.398314451434466,43.35664810118171,41.21421520383847,36.95436342315529,40.87385471138902,44.29003327787628,45.478144358646986,48.45349621387098,48.344716111243876,52.74010958265228,51.30408394514935,47.18276896151976,51.349387025853744,53.39566105861683,50.57394571885546,50.50754934039351,56.29234278800478,55.43860384704516,51.15796143488587,54.15219868048278,58.556281980664686,56.97782552584358,53.563614174074395,49.05021465016854,53.07576642494082,49.33581060287428,48.39564486071372,43.55644444830014,42.66058816723103,37.723192341228206,39.191707909100174,41.662496138286826,45.36656690052942,45.971317721722116,45.99904708942504,41.894609746441226,43.926407166323195,39.47907353078821,37.235401843102785,38.50122174513266,39.00594681659835,35.81064664032644,34.380168551946,34.66617251488782,32.85558651831611,29.9404424522468,29.62913005708947,31.480628655144354,29.724956761812226,30.58961461605771,32.34722936931746,32.81774962416487],[32.925158196460494,34.766299112408,37.66629133732156,34.8750248777063,38.31407434190123,32.73999538024422,32.579920092910555,32.49719441498302,28.07942147622347,29.00224586234847,27.004293049983623,28.262015853384757,32.049244270512766,28.847374800645206,30.00478199990851,33.17582560449593,34.896032587367586,37.06631165073365,39.85749086807813,43.30740661462789,45.77287799446262,50.368742049332745,50.851870994674734,51.4952748160101,49.84225965339172,45.370957905971544,44.680839808214955,40.82928241335049,39.517665829911145,38.411679015052314,35.86941002680633,37.42704774921966,37.444774633318055,40.77597120325185,41.7890135651858,41.76042470407784,42.793966125504824,45.354897643073286,47.09456081820831,53.31423561764551,50.98919132589374,49.42802807341317,53.50316704438173,55.39626064000274,56.69504413649687,57.31917029281891,61.1931175067437,60.27959680136895,57.31047507539762,62.292990965044474,63.47221482530514,62.4922170420612,63.28027773255714,58.23535125500431,59.7704605250735,62.60456721279046,58.73883369824649,55.92497138117363,60.056230419577275,61.358867864359965,56.01067006213265,54.311152991113104,50.823116731592734,52.367232230596215,52.520452333201234,49.16257130078142,44.6264731768409,41.0733699694249,38.101708204927746,34.109755017930375,33.495209924194164,32.65097657662741,34.419025089041504,39.2261347073701,38.96442203567884,43.57827693437791,45.87480315473987,47.01594008948879,48.66907774738904,51.63432576904009,51.23214998911139,53.44399154167556,51.300587511068294,54.24699517457649,52.10471747889589,48.72666914531693,48.81434111343,47.45471269752543,45.63514150965186,45.19779013362062,41.66320764408826,41.29474046332494,37.593162023835,35.76909800188578,32.95708189469688,29.95834457620489,27.939235094270146,32.34437392961859,31.81758365007816,32.96745441883412,37.417237786169316,39.7648172320519,42.55876064560559,43.87962166805636,49.41209164474448,46.40888231018176,49.894472956282314,51.192051734755275,47.996655037092275,45.28673110514204,41.84004503730206,41.106632360005456,36.50544111662709,38.04870437336915,35.2019465505913,36.60751180396954,37.340158409542326,39.252550441677506,39.464935314425716,36.275546432391934,34.07888239817392,32.29725707545463,33.84659738192375,33.55791749114934,32.94705217605525,38.18092073980369,37.87063156198422,41.853274553045665,45.029473061175686,48.04384367005113,50.34649993697427,53.9357365737689,54.76968683976109,53.32301028119779,51.05813498549076,46.60601398587822,47.11447009938256,44.6934948824061,42.61737689344986,43.00938864819513,43.63805580689368,46.88508994382672,44.4632798805538,43.43639612786051,45.419333619236504,42.19732226254899,40.47961955756928,38.72858579857341,39.29677814058587,35.49998847593888,37.23173401746337,32.93693719635113,36.01866661137593,31.58325410257707,30.99259306409744,34.58178377483775,34.44780044747462,38.15246885766294,38.27639472287778,42.1948791971717,43.9258788048486,44.18648306370707,45.518897974540245,48.678948145398564,51.74789184690346,50.8779974380632,54.024942914006935,56.25284559215901,54.86341355043468,50.841271077426285,50.98097239283167,47.87517542603797,49.771377339005866,49.28800615827557,48.250993459883,47.884586112702316,44.159059246559394,48.879917386723015,50.4799295505778,52.3244855462349,53.05001388987655,49.895161275062854,55.45894774469816,58.46825916674708,55.80079713880728,57.05688154018081,54.38483996231745,59.55227890553836,58.46057655398392,60.839961106675354,62.60706066564532,59.10104357511577,59.753781961889835,58.03696733800232,58.75755721644609,59.77366648440244,55.384583661721415,56.15315855158303,53.901962252139946,50.991580695740545,53.45498921938954,50.090544339682275,47.26825371040852,49.73099765609795,50.608820664888306,45.772422171475064,45.47423101856574,48.57809486874011,47.25887961794964,42.5316614294696,44.475033556642096,45.727454133400514,41.372312588390244,40.28737279417672,44.321429410124395,46.162255159455675,48.91123991291464,52.7539042296808,52.16032654414481,53.79868410983606,59.00289867884125,61.15425875964382,63.678832934952084,62.74947297746634,62.32171138741602,64.35831018061269,61.49119066661828,66.27001940630862,66.14020722316921,60.306168427938026,62.412354246635864,66.81898293760476,63.4830043997968,61.01364507251479,64.18549688627654,65.81568591365024,61.921362168479654,60.165910040690164,56.60400953166887,56.78723378308882,59.411555076140395,57.264989825961074,57.79814619297526,58.32019998442337,55.01883031909339,53.127609520211664,54.13154204431397,52.43985246440113,48.51354588212151,48.99576482877895,48.33509047126482,45.16851316641245,44.7816089840457,48.9151416175739,46.86290311716534,42.66407393220094,46.64045895506662,50.1096041337338,51.19341890969791,54.04798645705545,53.697639772508495,58.1162096862915,56.89801364064709,52.59565588790529,56.59012622191305,58.79344061259326,55.97902685971769,55.60401057401243,61.48388881806811,60.739062021443644,56.26704357349921,59.04113814988418,63.611182898152975,62.08751009238925,58.545721694459445,53.98368219854149,57.992956855821134,54.19742155580763,53.59690599797914,48.59369940618406,47.78079896570703,42.812984616966446,44.03768153675959,46.37188084047002,49.99327332351393,50.468323844955975,50.70956470462465,46.30880099068416,48.19493026028525,43.51584739182128,41.77708663720313,42.98089556949515,43.80986419227677,40.33906645247038,38.8934642803012,39.70769670047128,37.96039721347737,34.547642689938,34.67234848123943,36.94484414344933,35.341036968820035,36.25145458748271,37.99049668565639,38.45748257313723],[31.85718230218998,33.58922242133234,36.14355933840799,33.67509406633577,36.60336910135163,30.647218828508784,30.239193028942555,29.59265121241197,25.24566277791988,26.287017770797902,23.9617050179397,24.69835381565514,28.9109105362348,26.156792233387055,26.85505395390666,29.873361506178597,32.08092585615019,34.262965503629005,37.51269531399313,40.63411343582066,43.316844266872614,47.79166792652398,48.556915234435984,49.450463302271565,47.57946053561578,43.190982103071555,42.252570254765054,38.335451973066824,36.620466623351945,35.13504114800249,32.49062516984276,33.70759952804955,33.49686652830424,36.9670141602992,38.11573710042072,38.4268770687273,39.28034263964577,42.28616394136855,44.22256267593537,50.29100115307739,48.40270073327975,46.76436244580377,50.68742874724392,52.81283787799302,54.39047780299503,55.095311274680604,58.96642947482676,57.77345362709287,54.69874568031431,59.77305067470637,60.68191959834468,59.52395467125525,60.19937146558283,55.20385454795816,56.42098703277413,59.420628603983694,55.761573757074096,52.68965760603193,56.76731074367296,58.38849981803718,53.097007252907495,51.27045092628116,47.68062731403177,49.56473724635196,49.778699073031824,46.256607721679366,42.05157844545858,38.26529077762107,35.73546296655746,31.522938434685695,31.314455250755234,30.693072219109947,31.92237608562992,36.78570120392708,36.01886116283345,40.521763520472106,42.71506330167556,43.565511162472035,45.21269057863786,48.25536233147813,47.66800294050381,50.04126912181385,47.69906799784501,50.831219085469655,48.95168929163945,45.40664832329354,45.58374038474852,43.86741068706915,42.32539500833554,41.541763192357706,38.22260865923736,37.90867496396888,34.10380780873691,32.028908537128196,29.317716943864397,26.239426367288942,24.392896282619304,28.4034689490674,27.881476711841785,28.756093620809043,33.41531780691802,35.825001868669496,38.7634083068986,40.23382061330354,45.94670783784725,43.167047783383964,46.664037948726836,48.235976563807284,45.24331726529096,42.26260545029088,39.07945621767872,38.31634292787679,33.796233856836494,35.5907145041327,32.734024590831666,34.54603215075489,35.13524624540982,37.457987416850834,37.58061663188213,33.9884709094641,32.11724691671082,30.216323607368842,32.233251103015796,31.705596038544165,30.904042047016766,36.144666101278055,35.55624649839367,39.47884688571047,42.56541108452913,45.28373582033515,47.96264861113325,51.32200948485013,52.2625430566204,50.470158798407574,48.61057341442262,44.245125136510474,45.173729450180765,42.84788841414581,41.01863367913299,41.0867695189181,42.14445582152158,45.229965514517524,42.47909578399547,41.28474950320272,42.998062087885316,39.48328132609369,37.907780502923664,35.83341993569384,36.27907741151085,32.43550981403027,33.98042219207906,29.47847441438516,32.25384335596738,27.734877675342606,26.934807077136234,30.618418711691284,30.73822746700615,34.542680887405346,34.76206287441848,38.92017430578468,41.032786558087494,41.18745892719982,43.02001895567666,45.908631860409244,49.3070836937479,48.83911056912516,51.893847137434946,54.411949249344026,53.0743424383261,49.07249522252749,48.94446842669485,45.713481267349714,47.21123217319416,46.42681663422363,45.12960333933119,44.482823527483355,40.69448807855153,45.19058533421275,47.09606260897167,48.90656436296101,50.00643556700658,46.801148041402385,52.481299047624745,55.60310801454124,53.08070684474464,54.27935048815666,51.62061360368221,56.85609757957781,56.18513649161838,58.424199727141115,60.314292562318165,56.661567225202305,57.429386580436876,55.730244339756524,56.39582050094099,57.49096853491153,53.21627499280287,53.83618158105972,51.75476527547871,48.57145289707372,51.09907917901496,47.527463748294146,44.87396262921731,47.692517538145616,48.40322775725892,43.56799288143571,43.791814125396435,46.824344362015545,45.187634443300894,40.80757671740841,43.052384224488854,44.21295195291507,39.74468083936049,39.10782080132709,43.32821277728503,45.14718108699495,47.736688820972304,51.77609139822465,50.80434699522533,52.34784304157544,57.4127474593764,59.67065079393073,61.97895280477896,60.694017358567024,60.12558395643495,61.93934620789026,58.886859256887554,63.6974000417837,63.85059217894913,58.04151516129327,59.924849890243216,64.5178912711595,61.42123859327868,58.81154321060174,61.83710746047779,63.84652003520117,60.102540397838105,58.060992320167344,54.51603537368742,54.226031310581966,56.77974699121197,54.602991371754605,54.84606844734338,55.31663741024984,51.854169578702916,50.161647957743924,51.330405277558505,49.3847108701444,45.52940280527719,46.369901422183936,45.60927651572793,42.4266822079952,42.38869546133716,46.54618190012127,44.44942337228565,40.484978813212976,44.68613334555386,48.0849644939886,49.22877440189831,51.825816699081564,51.28693742402937,55.752474148807885,54.86476179660751,50.6209591277558,54.407881208703685,56.88746548644522,54.25540698528048,53.73787003157097,59.60494658494984,59.224021863583694,54.80032722210654,57.33930473001709,62.01881935515863,60.819229703157326,57.34282656093269,52.912590383832644,57.19822983201603,53.6170776011812,52.913475273817845,47.894761431455585,46.656847877284406,41.66270445709738,43.30361252516392,45.41590301416964,49.11444936558142,49.28017883860632,49.16981797953167,44.57984909945242,46.086416866195194,41.42189414381195,39.67379811442311,40.33872072680264,41.13170868189052,37.36430636551917,36.34195325280986,37.427674678104836,35.368389295937675,31.88822318522829,32.68038632811139,34.90144464739724,33.212596738619666,34.155145973196596,35.97176439345203,36.64352712701897],[36.059581674432565,37.76581015590436,40.12041465230867,37.796213217259535,40.34296271411124,34.236283557785995,33.522203263145464,32.40674538221178,28.09600774557652,28.8782433008624,26.104447802062353,26.396903883885614,30.775095946145186,28.27583431482368,28.11792939548552,31.0419535290488,33.707285830096374,35.40603761995697,38.74805168213592,41.6969288828836,44.238053074376396,48.64067007628377,49.4418999845965,50.66164517064321,48.91409137517388,44.65508761455571,43.8475283029442,40.07479002936556,37.97969428344019,36.34681669863586,32.937973251178335,34.32251166967697,33.462667617516594,36.66211740869875,38.3526196300921,39.0387439680052,40.1277966857235,43.42462753414409,45.67840180749325,51.60043908991216,50.03818172530845,47.986550136840464,51.67378762338374,54.0744083725007,55.81838056385369,56.834916517469146,60.57679021854728,59.089264115108065,56.25215731245724,61.45387195031544,61.988212795227874,60.816560587504554,61.17442759258416,56.33772299035766,57.09284863761339,60.00459137843723,56.49425549553978,53.148914648049406,56.971486447295256,58.84401648384442,53.52874640034484,51.270992036891904,47.509057891953056,49.46876863566998,50.081287889351835,46.67879618652831,42.533550311770476,38.76039668341855,36.52259910159259,32.246576831507696,32.273892712168966,31.297963080351753,32.1233758466407,36.91628969695836,36.049381999859264,39.986479394064034,42.61842350256228,43.04360425764584,45.0752498543677,48.38195213322862,48.01256973346392,50.79627568142363,48.54826492015676,51.99686955091628,50.388159088119224,46.55312171886781,46.43455132786924,44.3681603656766,42.724099134174296,41.28728021544586,38.02284516768217,37.17912561218626,33.52270470675487,31.55002280491982,29.480350640285995,26.050214976070954,24.97242689656958,28.75221106510632,28.715361140983916,29.481076609139606,34.14829602579242,37.02472932434162,39.88191587903601,41.85781673963449,47.7247770665688,45.36568741023242,48.951485547385396,50.80684481699209,48.09134351185737,44.84627997918056,41.95756868546315,40.99310617111033,36.57519982439971,38.36971290965557,35.26548651356326,37.2460290748286,37.39328147974985,39.90487322407974,39.41913864178053,35.69597837422219,34.20512222553865,32.572443449209636,35.100845441170335,34.70997754483775,34.0690249609727,39.32332844042409,38.784648461591985,42.5406639215632,45.5999669488745,47.957098976112704,51.016718774257626,54.175290624320915,55.0773641497484,52.94899963138619,51.40973383831081,47.11130975443335,48.467661622471475,46.01860449719223,44.22564118555307,43.929399256849415,44.977235249948826,47.71849458859438,44.700876764871225,43.63722948703422,45.03519313500483,41.33669822273781,40.089775711660714,37.9118398311705,38.48636453800096,34.78325208340249,36.30425308551942,31.662111987234923,34.02227601997794,29.47004982979363,28.24711164766287,31.94423646203888,32.298240143508465,36.30406893786332,36.3529895620239,40.95298791548057,43.275753202095316,42.99776560620891,45.30713731037851,47.82761532677721,51.62250227753877,51.47103078654176,54.63193151312781,57.310476687692805,56.18996069621291,52.17395040187513,51.92591306550135,48.5096363379859,49.63239914509759,48.57649823817115,46.95522472661996,46.09630041029313,42.09180840065953,46.290648199885105,48.484364222450715,50.420908187159334,51.90125859298413,48.92380043807863,54.657295399287676,57.82028273213624,55.3729833367545,56.23859617194037,53.39575094532109,58.659367312505914,58.29182594693619,60.62748411017839,62.74150775764433,59.06193379133336,60.10596491583981,58.55134518761815,59.27872396382808,60.542920049489375,56.41749807307015,57.001426810007864,55.128784309755034,51.74934866583734,54.3696709034155,50.64133509384619,48.13760490714791,51.24241153409496,51.826713150597136,47.02075917578868,47.61832763528033,50.58880038723739,48.696905755588155,44.61484607773525,47.03082947363457,48.08167177365531,43.55664502640893,43.22299880861678,47.48427271296,49.32783808805192,51.75690130823082,55.965993967961474,54.7889530664417,56.2313011110117,61.201301460969894,63.46120544446225,65.65999026211189,64.11912388215278,63.478509115283664,65.10119933939403,61.90393697409167,66.73094394331017,67.13684843773774,61.373868071369486,63.05006627048495,67.78873540269113,64.89763512026224,62.16949285698449,65.03653329374153,67.35344954513421,63.73119711537039,61.41790120355057,57.96278280888352,57.2544495663509,59.76151507257398,57.58939010463154,57.53033201311901,57.92311145358619,54.30847786141694,52.85599840509923,54.17402982940425,51.941256020518736,48.224453247476156,49.41438970644174,48.49060156036354,45.304784122764644,45.629544156349205,49.7170449611962,47.50829721256527,43.79589322642123,48.168835182915984,51.44565439544736,52.71343780218141,55.11470253851292,54.47477860119252,58.96333369521655,58.32059173375803,54.18707865161287,57.81203352148042,60.48637983933894,57.99676299254454,57.39694765434049,63.232667678332945,63.0980173912891,58.721148565720014,61.088868205440484,65.83484679062734,64.83991760053105,61.4040327966914,57.05513138080173,61.46342029426482,57.98617137573339,57.2503349713187,52.23831722802398,50.80267268081925,45.81593461747179,47.637198745074215,49.62402182723388,53.33492636695789,53.32132618753193,53.0380045382406,48.3093449350524,49.519339537058364,44.85164099324101,43.202987052059484,43.4193502655053,44.186103611540034,40.14944376294624,39.54394432473413,40.86214100572444,38.52538415697019,35.05033203430241,36.37974907524168,38.486868696433646,36.662563788601624,37.56917339033757,39.38974569979569,40.10563960957052],[34.48240027344141,35.85237780901555,37.84186960209651,35.22829744305634,37.42172093757214,31.462781889523267,30.39840401429913,29.3204819949016,24.844573569057378,25.230276469650164,22.357245647680347,22.8730748287141,26.980136010419717,24.343366219217216,24.128602395968304,27.122678225909176,29.68544191242824,31.32689765300394,34.62747839344634,37.60636844929893,40.140702331658126,44.55897010856999,45.351328151204235,46.55074366155669,44.79334457678862,40.53264250109806,39.750159320738895,36.004431925852344,33.94813388054846,32.44704099471335,29.020556011872984,30.610931450469586,29.915004268022017,33.06357930352155,34.61334733756876,35.12041656366606,36.32401187665798,39.43890413124194,41.66998421053982,47.63691661381818,45.98165919569335,43.903945774824315,47.621502519405986,49.986324926065905,51.70436522189883,52.73639575496036,56.46842896058663,54.99469443558132,52.1968740784947,57.39972181364393,57.95636137104326,56.84346779964502,57.21139597821974,52.36198088160839,53.224677437125585,56.07409073168992,52.4916246767722,49.232784851077646,53.10628918586337,54.86824048771278,49.53877072181777,47.379299011152796,43.66966061385674,45.58001478261548,46.09171462776352,42.680105300209235,38.49713220611889,34.726962693237844,32.436923937015344,28.162006367940062,28.18091530131145,27.304194827315033,28.144014243631666,32.961593309397244,32.113120416108174,36.237333010835684,38.75460083014016,39.36455530055289,41.30329766035032,44.54308590718689,44.23612040482633,46.94715601829288,44.841101252646084,48.23051404222758,46.51773337812788,42.70057111517003,42.49824752074812,40.59573992599788,38.81724622995341,37.61099436347746,34.24028069360098,33.54098746800972,29.845723245185805,27.93100071745669,25.68577956877801,22.32453079008556,21.088156030771593,25.175145727957705,25.243563271291613,26.517252773120635,30.7878660312511,33.91419754967007,36.44777574051429,38.605807583857214,44.35452345581768,42.09320895450614,45.86170469039916,47.641096129134645,45.039188409849345,41.79699227081903,38.895479505656965,37.610203846775214,33.179820292469614,34.751228273425006,31.46113811907538,33.39024950734556,33.39131158229145,35.9104394212977,35.32121615682353,31.59168896859276,30.14251269746085,28.583158851607163,31.25256686086196,30.972109053177775,30.527123414424363,35.80804399886709,35.590923239299514,39.18959277727445,42.34735630264159,44.586491555456476,47.72609026454906,50.9084672111072,51.616207538419374,49.484266671530804,47.85801316210571,43.5394251549183,45.0514848716542,42.41251521341939,40.55629728890299,40.11551969463974,41.09019783423476,43.722336531109754,40.65875391238302,39.6578697725026,41.02068202640063,37.35589604982378,36.1684848888079,34.10148566312549,34.858219497427214,31.302169925269716,33.125048928573655,28.63901590062848,31.30965140194759,27.195122923553793,25.562632117932754,28.97746094678065,28.979426613101126,33.07224415164495,32.80487423323234,37.491452090136356,39.589274600630645,39.14465928298493,41.412228044681726,43.90600333180443,47.72799554272583,47.58384333381593,50.841058732538315,53.514579511005834,52.52511888549894,48.486118313455655,48.262014413598585,44.76163437770889,45.85135545602583,44.82321299717232,43.21053265038511,42.49331446099139,38.416640049644705,42.74384073614529,44.75894078840876,46.79704334100606,48.14946360152206,45.368262057638056,51.04582465953959,54.1449519634098,51.627827610109854,52.353764543375696,49.43407167659178,54.68524127122247,54.271900770531026,56.68501647960412,58.85238210199092,55.22093283396514,56.37892033648603,54.92896270461871,55.76687593059355,57.17179598320373,53.124077589685655,53.86457589201509,52.17128923623415,48.82822114404996,51.70007511160344,48.05636106591295,45.41912487840218,48.67138249578968,49.48508596936295,44.694400245688165,45.19088052685542,48.39279111972389,46.747071561804844,42.57930663218817,45.08862998434524,46.39201929787405,41.91262340875279,41.49205584730883,45.944048245075244,47.54381803998555,50.24606079139265,54.05409409208998,52.8208843870178,54.47274427435681,59.34136924403623,61.870907404774144,63.86009366835984,62.25959973286231,61.395794463947276,62.93931220856413,59.58033410657786,64.32002325228902,64.80433566975721,58.92530325202637,60.45498402779629,65.16450275735868,62.29669841362493,59.43307728567823,62.16386286297307,64.54522231957162,60.95047872481073,58.37948374135591,55.14752486812957,54.34114647480088,56.9812936575446,55.06175288462835,54.99233547915707,55.68917099553257,51.876959081178526,50.3181478127177,51.987071044195815,49.87349592894536,45.94366171568536,47.27371220958583,46.67536754717183,43.5349320064611,43.761172920636064,48.067992457442834,46.10318649318377,42.37590030904151,46.69404440971449,50.08376207068887,51.1139998688349,53.3989297840174,52.49595779905097,56.96610086354555,56.51559749025881,52.1612842908811,55.6070248146715,58.39936365980403,55.922675504252126,55.02225390352878,60.91702943740185,60.903403676252076,56.37898758610198,58.52813211228907,63.39934912395328,62.50553037544436,58.99597014782449,54.66626642605494,59.13050546454734,55.70947543637895,55.21136866599875,50.08389813594062,48.589980938376335,43.613632821531084,45.360941415671,47.157324341707515,50.80826859844294,50.62072609486658,50.410488091100575,45.49623633347519,46.58522110935035,41.81994642576672,40.505115388896904,40.74770263529994,41.79495511548145,37.68961178406646,36.92144942999912,38.61882650322416,36.48926289310873,32.60361327829968,34.16520187243296,36.692691969728564,35.16993981881259,36.181886703325105,38.01365964220336,38.830823623789726],[33.87446466733093,34.9292453036426,36.68186655980955,33.568769602058175,35.61139373780896,30.021443661914937,28.670131998469646,27.949948077778043,23.234442294245785,23.039546347966052,20.231359829275817,21.37508116313892,24.852984693612687,21.734705167691775,21.721509308802663,24.911378402152256,27.03992566864594,28.566998781229138,31.522225840760186,34.75485451755964,37.12976588683114,41.65020543020228,42.253786141743134,43.304453768351884,41.68301279989654,37.363687600636226,36.78466880612964,33.11468736410651,31.33701951598418,30.24203913136473,26.814275041372372,28.899767593770427,28.521333013745163,31.472377244890378,32.79554359972106,32.884074620636646,34.362383256812535,36.987701223472534,39.0936073679509,45.20278152995518,43.187672728724806,41.085387314774366,44.92031545742334,47.12544202502388,48.656166994962746,49.6878973634155,53.405712770190824,52.09154892616922,49.42224763621629,54.591275164110655,55.305398689132595,54.36542588182661,54.78605706626196,49.90489002371837,51.048742110740584,53.7134466062103,49.93090069988037,46.91156840406986,50.852264637580134,52.30794022469682,46.922260776620426,44.91835440027633,41.32382600852471,42.956968612609295,43.34858722801401,40.042554715479845,35.59255921011167,31.979365422071044,29.336340031920344,25.192274515396377,24.928662535259708,23.977638900280944,25.19460610096932,30.017996715316848,29.53683676895005,33.91678227992293,36.40166893624541,37.38948877134788,39.250784130577564,42.378691043256275,42.28432560562,44.8390566139249,43.034465957192836,46.26135023761904,44.28663808379343,40.57196927308384,40.18726708411455,38.68397808666679,36.55695433730142,35.80587052784581,32.177451378486964,31.573454153688516,27.935076446901412,26.291837053177467,23.815403039328295,20.611201912681807,19.085244337983237,23.80466000750747,24.016482950730747,26.04344899441002,29.685352197872234,33.06227756289529,35.12082011750876,37.41867080380107,42.921872693008915,40.668754561790216,44.64107588943833,46.19229468854804,43.62000636809613,40.522026084586095,37.471518965156754,35.81868436945256,31.32584627805767,32.47739946505999,28.934934627829808,30.560468375297212,30.430104741279987,32.725420801184505,31.998270738257144,28.494167174352675,26.90076471737312,25.530081848777105,28.143152541555544,28.167596217994667,28.100183223988104,33.43385238152865,33.77173401444588,37.21524568269215,40.542811962205704,42.794824069982994,45.83798483758534,49.1682321099501,49.588526859691484,47.627495795189006,45.68413730776591,41.28872865536677,42.773347975183086,39.83359328693343,37.749688129000404,37.295533796988394,37.91779188588115,40.49349865433845,37.53866664015182,36.73041329042306,38.197150880779546,34.73563907504545,33.55364386355861,31.817104183315003,32.883102619360784,29.54064629712946,31.830503599979,27.65540778936378,30.83241967484446,27.267101559141167,25.324487276130036,28.33738720618753,27.7851515023958,31.909709632759974,31.204597975130824,35.86156565289255,37.47342113880555,36.862924626867624,38.80755411234731,41.41294754496751,45.10348045809262,44.752453134542634,48.19690945755901,50.712293009621774,49.865726166916936,45.77519823415793,45.72804119233908,42.17797006177276,43.44045575889075,42.606264531059246,41.13799840265831,40.74436625333149,36.612202060691814,41.20142987010115,42.83795592716559,45.02333763020853,46.027720916445084,43.52260605916112,49.070773466625305,52.03356392202017,49.3527407961614,49.9229317088237,46.88383195226989,52.089417067470656,51.39259670566631,53.9948420456148,56.17534521845184,52.679416465312755,53.928888923051055,52.60132825158809,53.60530930184567,55.14145983697038,51.12574792677198,52.126933278949586,50.555719220089294,47.3907612790011,50.51475251780375,47.06869268031641,44.19953804810778,47.44000952647548,48.589474098919055,43.816643785853934,43.94313817676795,47.43645539236516,46.21055341305133,41.78501746192663,44.249339802774394,45.86701253854282,41.492241157697634,40.76545473598492,45.33078009252481,46.67853355473659,49.74751538839942,53.03178212370808,51.91976839527113,53.84083523546348,58.66617587912764,61.42770443614943,63.29889112197708,61.80252891940118,60.769117034966946,62.332681438257566,58.890145368912066,63.517000111577026,63.95258281495519,57.93709587145421,59.41252335079613,63.99961209646134,61.04261532516684,58.09593427127895,60.74514624878848,63.014258273314795,59.37550366154224,56.65075327923439,53.665850328634406,52.98125433556818,55.8053133655727,54.18057935645423,54.238890659816725,55.28672011364852,51.34390519364464,49.57648148215276,51.54289003708839,49.67836095974347,45.4940815175612,46.79990750541207,46.59286408063354,43.51178447363195,43.46809870423487,47.987695758293285,46.296471841123704,42.44947983992757,46.600823313857695,50.136724963493286,50.89313179639967,53.17582809442914,52.08650146918158,56.511955423367155,56.108597314217974,51.494670423419976,54.84552771382001,57.63194321270581,55.08274251055752,53.923834133239744,59.88922714579042,59.83203856310667,55.12191583632873,57.143679986444866,62.10035706174249,61.161495988022196,57.53646124991058,53.162806779015185,57.55442820137994,54.08976941059925,53.90747818567428,48.658022669965774,47.30758040305863,42.354231353316656,43.8122316367812,45.503560484972816,49.04987471996822,48.81667230696351,48.86735032623066,43.83174921524484,44.97510064317265,40.08340551422662,39.16178127476068,39.708461824930566,41.08391531847821,37.05718716180767,35.8936086528455,37.87452873143625,36.12651353071001,31.832774825885792,33.31230254265405,36.319712269683,35.15816112958917,36.25658935514488,38.067756509167864,38.890540102200774],[30.286591767708988,31.039771957019504,32.46351307830986,29.2636152818246,31.026132898166004,25.51589275887011,23.99529611983757,23.360002417989044,18.579682339658323,18.31557448699855,15.626707955328717,17.049587691212462,20.38627402686833,17.22512196329241,17.698848482079217,20.903536736859067,22.84930564050186,24.818035925107214,27.981589397494094,31.14223207354616,33.79563443432677,38.28397518024049,39.04733121679818,39.95501336600635,38.06477372586504,33.694771754274214,32.83076379311485,29.00046015320665,27.326899813595674,26.193998421408775,23.4501170298926,25.24036368947224,25.421448311338548,28.650378038950468,29.468018811766793,29.337634000368617,30.52959202043187,33.074354303629114,35.005734907431446,41.15876719860708,39.09832784473989,37.3114508149509,41.26244231497827,43.35327048828085,44.90752710340135,45.718677492112256,49.54048672289224,48.3102734397668,45.38037274903615,50.4929272072449,51.36795347166675,50.35213893737066,50.98201593884669,45.99626296202092,47.387296755925966,50.20296010199125,46.40302185849559,43.50612600981855,47.648743353008705,49.03905379576512,43.727494849400244,42.087166143480644,38.629935930728976,40.39977983326747,40.4129412456367,36.892297816744204,32.6369449495844,28.870763838110243,26.268704859569493,22.068150079645626,21.881273190549102,21.57190279886632,22.755729325755027,27.6236733127352,26.869074561478925,31.753248862311963,33.65421455241169,34.91430241054079,36.35080650604594,39.236171394045755,38.84901627038109,41.09660926802662,39.15839072808562,42.1899824469561,40.09570692606748,36.54617671651809,36.44378341242549,35.112063693461316,33.21042031245326,32.95376007267132,29.412624029345846,29.442948314171424,25.63274052186184,23.76752979353764,20.668379075980628,17.893878503134083,15.605107069879992,20.408320342011436,20.242337622778567,22.531089702901465,25.95177662068927,29.095019722639506,31.08431371086285,33.14852651325958,38.53020380058975,36.13845269990728,40.1378364816489,41.57288712731957,38.98198568686035,35.95509058832906,32.838137432738165,31.12063620255021,26.606241078400874,27.747158533878558,24.28804029879789,25.997294783962545,26.076638304132423,28.486603686566873,28.21574724843251,24.552022447768486,22.856141359776228,21.18494855056208,23.745347439084398,23.558436917898113,23.374856950100533,28.700192004944125,29.056001884642786,32.46832190446062,35.81481494574122,38.09816811734472,41.09851767836991,44.456272518508364,44.85816428518106,42.963755176845694,40.957515599192355,36.55662847321453,38.03993790617142,35.15054452421813,33.15928203949405,32.719217998931434,33.59138777012218,36.30155873797639,33.34152274786782,32.33595586975168,33.88465408519567,30.41406570820531,29.067020229193492,27.28472775419581,28.28184175482894,24.912347556238295,27.316857611266684,23.308377151277018,26.8213266152732,23.653255070333607,21.652266703242205,24.422538171961907,23.571075810097017,27.604943511064345,26.887702194976963,31.34922070192389,32.869239946872426,32.46542792004294,34.28860213773217,37.02277314880017,40.59505742506515,40.23434388695548,43.57966750153473,46.13948396321035,45.21531331012877,41.14053926249041,41.039278289416856,37.52076120434508,38.82895130300259,38.052849101560604,36.70511932769003,36.40080818525238,32.38650624213381,37.146820325093586,38.622676659743604,40.729776003787954,41.57299033299633,38.96117287433335,44.49341350525247,47.45268688359909,44.76415870165218,45.505640137610065,42.597388402856964,47.81170504615155,47.10425630665062,49.56889061398292,51.6622418015694,48.122857711180366,49.27209984505373,47.892997362648664,48.87183655267843,50.393936410897204,46.38142932594281,47.40903032436059,45.88238486324892,42.7487870224605,45.97023770340009,42.59982977282224,39.65122360831219,42.942148160168834,44.22232597582495,39.48257891643727,39.55481219915654,43.16415947739754,42.114698783184465,37.66366576993335,40.19306685251958,41.97434890246852,37.67508914345909,36.92680660228611,41.607817547727976,42.760573428597354,45.98325430477711,48.98732400713642,47.79644687492438,49.84197772838996,54.564763729512066,57.50733991026048,59.216253463719504,57.691152837359034,56.51938600071309,58.04959432423127,54.543581542490315,59.10524989686164,59.54966904911598,53.480813978469264,54.89914430205197,59.44679582950137,56.493596184042765,53.49592009751616,56.098484624657104,58.37580375337356,54.75830981401838,51.946654916621426,49.038703904247356,48.352323096979816,51.23396198028915,49.73877417727413,49.85649274953396,51.096156371274354,47.0948456931331,45.208596529307535,47.343436531264395,45.63669508409114,41.30258018819394,42.61947636082234,42.675223040755355,39.656439320972154,39.47916232005671,44.134658343463414,42.66723647039168,38.82032969924524,42.86832053096692,46.47207483774643,47.02622935756096,49.2209401502923,47.962687726242244,52.35035414126937,52.05863204729703,47.310160580026775,50.536778484809496,53.37881830002109,50.85051442400649,49.51088369205078,55.490220896105335,55.51836787896755,50.74735966819377,52.63203366266543,57.64472415959432,56.79372726887554,53.153554303420606,48.830744978195575,53.29026042177258,49.92050419960835,49.838026228553275,44.553708988155975,43.09202364181938,38.177782488419,39.66967914279074,41.19826931591828,44.71610314320257,44.34188489308398,44.36610343416852,39.248826538789125,40.32046673245669,35.405840915749955,34.633423587262456,35.22972710394649,36.77437815291665,32.79056391617383,31.45064002729722,33.644821554950845,32.10319347389175,27.55544898370817,29.14800496133817,32.44829768035369,31.577848121946822,32.75835687012845,34.57868616979384,35.52164839144188],[33.05932643932055,33.58784891638768,34.58738803442076,31.412334329631673,32.54526800950758,27.13587959957055,25.116841083713815,24.066217552494955,19.375936248253772,18.485958655215246,15.295895226892467,16.399726814698724,19.530059796535028,16.605144179013863,15.976330297902631,19.125862470925423,21.46171019817084,22.838676759716353,26.077944935385432,29.071317734233848,31.59212906652894,36.02256597559686,36.82968368582456,38.04053555115133,36.246572449751525,32.014201728679886,31.290949426319816,27.646874237876784,25.612754441540492,24.45453808560665,20.88446470072992,23.077086954828943,22.774400798561853,25.68416651118645,26.8921995391978,26.958219347220112,28.498337875971956,31.161710811647815,33.38456454247562,39.417182892561655,37.604817169602576,35.39968207237837,39.14623952694319,41.47262818994947,43.17052070900574,44.28347622730294,47.97110582413931,46.473216049791404,43.79348930435697,49.01787894502193,49.55957750318082,48.57479792108891,48.9213281254578,44.073551954753306,45.124360079240745,47.81345247474027,44.09130056673636,41.00730694040714,44.96798468938444,46.50262596798873,41.15187245641894,39.196014959205954,35.611292082003665,37.4281236789395,37.71916365628538,34.28309063557664,30.056043880382493,26.27810197891104,23.94022640502314,19.642048790050232,19.735822797579395,19.180412872777275,19.90492554887743,24.77102710541804,23.891992663506667,28.454357298764712,30.658701130163145,31.696717613252947,33.40644909313782,36.485624048455925,36.35525679846412,38.92507348401927,37.20256044534773,40.47470983602131,38.55506910188256,34.75154340038891,34.28891580545903,32.76731084838604,30.64065424387218,29.9750258131059,26.36542682099165,26.042285935168785,22.29922183093029,20.582308116405688,17.92430160625795,14.833852112359441,13.203754208347044,18.138716631139776,18.623259688452734,21.31514581635507,24.27738276826608,28.086053495641977,29.672587169322764,32.369915751082495,37.7460449125696,35.85253517485768,40.041386555029874,41.662501596747575,39.44075218763048,36.21003945433265,33.4049696989874,31.27090618122236,26.936735334555248,27.87072000943962,24.069154164947758,25.884445501285153,25.365593675305153,27.963099004091767,26.977312598948803,23.176597679471683,21.972095341464847,20.691397323238544,23.887516836588986,23.932013277560472,24.076209187187715,29.293446685850764,29.932779899766594,32.996320480423186,36.33831765136387,38.15970571950366,41.54565229143405,44.701877335684564,44.91861603027648,42.7228399051144,40.96905483999009,36.66505962557316,38.660927354910086,35.5536117682495,33.58774939388989,32.674830579277405,33.48607324965486,35.735765704844674,32.48740483792255,31.66646855369165,32.84945701600642,29.241285592606026,28.29892372757055,26.52660431788,27.804336147421687,24.77217640976865,27.362544546073714,23.448949711060695,26.74535808751184,23.997372365120714,21.306871661905788,23.749702269558938,22.808389828981785,27.05041937678491,25.87912481131184,30.80200964817211,32.31791561542206,31.34345718897742,33.59582048729298,35.92197576510861,39.88112528142141,39.84174371942723,43.33361775942522,46.02874226690063,45.411852744583214,41.34492920046606,41.14319289054321,37.41697622299733,38.318905095251324,37.30721529872316,35.66188005277876,35.27662712215605,31.01448195489712,35.57889993365553,37.16466121767272,39.469458498476904,40.56133585156148,38.34440623764177,43.843807349493126,46.77481171530921,44.1172959050417,44.4322504355935,41.29967417584617,46.51591272759474,46.067426166621495,48.66763842118408,51.00139715835602,47.48822622892632,48.97466502938277,47.816938070087296,48.927723468272575,50.69779963070736,46.91119012764115,48.0096161190944,46.815352699183606,43.56190687612221,47.01236966051781,43.59800417695197,40.72397281713503,44.33383058705307,45.644541666385805,40.99734143244485,41.3324837752027,44.992945730997846,43.896128198937625,39.70384455064573,42.40579370563054,44.228533910353704,39.961964641756154,39.429717981121485,44.199825166473566,45.21442046717855,48.43491905811264,51.30798439802935,49.91543252463487,51.98957727861593,56.53011152132558,59.62743047016382,61.09900824312601,59.32890973752305,57.953157137323856,59.25654405722998,55.53728128133643,60.02241230855333,60.73611554812256,54.66739623432158,55.792960028045165,60.41798486127492,57.679328528077704,54.50454427626708,56.85305009970016,59.43272163720453,55.967405054484686,52.75439745262379,50.10748910841744,48.98217520149163,51.89635566578034,50.59765378452503,50.44339374797256,51.82572104711457,47.58144949129672,45.84356101699144,48.33931943227443,46.486369943066926,42.16442303656567,43.867690868435034,44.006621005865696,41.05000149838773,41.11650939418145,45.80512670378363,44.41792619756771,40.81146413885911,44.92338012917725,48.464154788678414,48.964352811175665,50.900604724669435,49.39177914146879,53.750687640921825,53.79711989034889,49.03656466818661,51.97558180292393,55.04179603181417,52.66431348106131,51.06498745353368,57.00959528828751,57.33159104511218,52.54177140032947,54.11428877051545,59.23277819030321,58.63403010714541,55.00806971438905,50.8086614136656,55.37330540126083,52.1620794426241,52.200381418102566,46.90327987804392,45.24602982426592,40.40968733299721,41.99688398960935,43.27224516709728,46.720121924693665,46.07371974958929,45.988522291639285,40.68601505430031,41.386344151613784,36.4713272923921,36.03700738939649,36.23386760412461,37.93207506245228,33.72317987645738,32.66724932175039,35.28946243010711,33.67166003446571,28.946915740120417,31.136775577308462,34.531865321303414,33.74387728963438,34.94330449201352,36.75317934060211,37.77746342578759],[29.916958997150594,30.14211874970247,30.792685288008073,27.591208113207284,28.397686482418862,23.098435759869744,20.886513436466004,19.894258929147274,15.167484996806511,14.15176241057291,11.02697766211924,12.472350227881602,15.456791408532455,12.513824517950274,12.48322607374278,15.65703590447143,17.809476990463775,19.78222192851338,23.31043465699124,26.188965025321153,29.053139747668762,33.42772417472135,34.42619445307391,35.46795221731718,33.35767349955212,29.07326875037962,27.99129284908014,24.13912462763195,22.207049050163626,20.95932096422843,18.290781008316248,20.045514362860853,20.446850261264498,23.70931038141705,24.294224770529254,24.11596473393936,25.270474106030896,27.87634127613945,29.895756573152518,35.98249518012774,34.132592731184594,32.31276404311171,36.1918264212256,38.38857445037788,40.11877502543333,40.966779541827194,44.7778550065606,43.37845929644292,40.381796727342625,45.54377572351018,46.27200364078853,45.18727949139756,45.780038348015644,40.8079650270127,42.135540089305124,45.01086103599693,41.28121659685937,38.33092859759116,42.51629096496838,43.98880975232067,38.735452167637575,37.20041398821124,33.787178667991974,35.76193023617656,35.61946884486068,31.93937500997277,27.97641084922625,24.026875090335338,21.780065628728376,17.448695042876803,17.66731749834863,17.94604045307501,18.59404531340141,23.422070888089568,22.20064477621297,27.305045670748818,28.798429928604236,30.128428552709327,31.329925023433216,34.118636860194734,33.62083265760685,35.83319786627189,33.92110526766905,36.97568087710654,34.92609177509425,31.30803622529611,31.207243331108206,29.866188775968048,28.04565117780808,27.95303972574453,24.49560410015852,24.940920790783238,21.041566356317983,19.050224287102832,15.616053613374103,13.17284433693099,10.464897859455071,15.444468388036803,15.408235265216042,18.39573748142731,21.1008186377953,24.59718677701696,26.138303949750757,28.53848533534612,33.79888308196961,31.730491316156495,35.93656782469686,37.43925381577546,35.18643252215947,32.029753941252245,29.159284462347326,26.970432988453652,22.613515228597535,23.562496631231767,19.86325504386903,21.82502259630399,21.565710590659858,24.33170693554413,23.91915459843928,19.907489148828827,18.600306293195125,16.921765891127105,20.08103815417301,19.83725211183534,19.817680137083023,25.007287843918927,25.628977714147776,28.657332912846712,32.00906644121416,33.87023340921749,37.21070826450973,40.393873366265915,40.61642142582321,38.4892664841305,36.67829947254016,32.36681886313306,34.358164715160775,31.33560114527917,29.49901030324022,28.60467069272503,29.739399067799486,32.15255349314481,28.89641561741645,27.82150192417981,29.097317647288936,25.454025007088337,24.30487763667914,22.437254895176295,23.614840329161535,20.52889279734234,23.2429783245681,19.524693986163378,23.183186767592183,20.915494999313996,18.19025138356967,20.32095130259062,19.030542554709406,23.167476961014085,22.00217716942592,26.70640534510735,28.153518845859416,27.441577999112138,29.57823645847248,32.059726862012155,35.88974077280309,35.84825353364488,39.211059234074696,41.96448825769332,41.240385266658706,37.194887709638394,36.9202581889985,33.23517129792779,34.18413317080863,33.22759684391529,31.71442495030957,31.411345042342774,27.28689922915392,32.05142495009107,33.477303355506,35.67878222642118,36.604459648421546,34.22789850085548,39.730929507043314,42.67402512172597,40.01415117466953,40.551125917121404,37.579818591330806,42.81639385793988,42.365362996783645,44.793737839040915,47.021701715275015,43.44397129217093,44.80165255395164,43.568110641698624,44.63544074245278,46.37300040215739,42.57761415168378,43.68382408441806,42.519637478743824,39.29598583201315,42.823830311655136,39.4858860996057,36.54523958181366,40.194496868454884,41.61862640451316,37.02105953832808,37.31534426487165,41.061829853032805,40.13110206048386,35.94755119971947,38.69809317522033,40.65754059667263,36.49456156289963,35.959380103045426,40.79750385905882,41.625015566255065,44.95999914408028,47.570667644480906,46.10384017083681,48.27858869501617,52.708948668486656,55.95920878194967,57.28153187948327,55.493351689220255,54.000359739680285,55.27835068468762,51.51576515309202,55.93874413009422,56.64784246836038,50.5414891401594,51.622755814275145,56.205880572602325,53.46891994088719,50.25811621611644,52.57246905549504,55.15218083113138,51.70733899425666,48.43284636195862,45.84347547563725,44.726168197490104,47.68707386734322,46.500833003857544,46.414447700270465,47.97028593854727,43.68955970472175,41.83349591586408,44.472535442498085,42.782794388425415,38.327396596156056,40.02646618978289,40.41708677243551,37.536498424848254,37.469245886602856,42.26053018959363,41.09370878548052,37.51157623650942,41.49422782393838,45.077514032842224,45.38664897111228,47.235812990797065,45.579244824821416,49.89054782343433,50.03254717506969,45.16593935277383,47.98350332087957,51.08963814233091,48.73844246174646,46.98309361605681,52.925121754592276,53.32328392592154,48.49649379867448,49.943370596406844,55.09861293216587,54.58213595424391,50.95770768443368,46.82209843255097,51.443081662849536,48.33565971561583,48.45062221539313,43.15239513915076,41.38514091619474,36.616510480309614,38.24569691494285,39.35486170418891,42.76547339357676,41.983154399731625,41.8550669543883,36.494176556534924,37.115907855550326,32.193478490235805,31.901897099733226,32.13428180796758,33.99127368430507,29.84778963765072,28.62266768461282,31.44873340935086,30.04657837055804,25.104181880150186,27.415944545503162,31.06234439700811,30.574807795036538,31.840131458008635,33.642762168390746,34.77893588348136],[30.618781174882077,30.965216649966532,32.1237590492033,28.199676296171376,29.844541784117713,25.093498037560472,23.269323973219013,23.35817670572162,18.420404237798007,17.209603344490624,14.933453566713347,17.460791637720746,19.484391387813346,15.47693055594211,16.54054007858429,19.959474987560558,20.952755086087155,22.7401951228185,25.169497778630472,28.789025313467516,31.128570387143217,35.764262132253734,36.17593010437028,36.778446936175634,35.14142462096287,30.674844038750198,30.180870458113613,26.50839186189294,25.436748817034648,25.064692734120552,22.495961822813648,25.018378113713805,25.717039745088762,28.53718165998146,28.965611645055258,28.13688297561165,29.72964069434565,31.388334126052335,33.04209810812069,39.38315899842848,36.69716492029278,34.930259711952374,39.06913607084368,40.846717005460654,42.04799966918456,42.8212646489896,46.616812977503955,45.69722691876618,42.97945307542167,47.99420069527196,49.162745207414645,48.434563343576045,49.169183343341054,44.15612843587518,46.01303332777781,48.51759700003819,44.41748024940985,41.948418791106405,46.16255630655574,47.04142344248285,41.68034417233667,40.31943779554618,37.09618857418635,38.37062535402659,38.182650576198505,34.88496617243616,30.206622609202242,26.79317427864727,23.546513639284225,19.714558510297763,18.91366652344645,18.50553432349163,20.473686788904395,25.217960765178045,25.172257032172165,30.371608572429345,32.19142153332989,34.03855077097184,35.33236402098383,37.99139520185133,37.939859068156075,39.890722058971484,38.43720651375386,41.15182398540019,38.64315199114581,35.335875580128594,34.96762330916374,34.32037603667789,31.899674947789084,32.39397811541792,28.530664728824735,28.69967811057148,25.11611949795127,23.765518348460365,20.435691791107303,18.12293238599723,15.469103105440777,20.96888698831076,20.983865584391133,24.18991660354706,26.60355185812326,29.933270562605095,31.208222717598563,33.3552097571899,38.258786580099,35.849179621154164,40.0519807497339,41.09219055484049,38.517310689150634,35.80501714023206,32.464896495664036,30.27661517239974,25.74186301980383,26.152725525437848,22.37384931572718,23.435992976712463,23.374244025845606,25.27561693987478,24.862586115108353,21.71919862602663,19.652899837743423,18.32557503464256,20.587986511260606,20.983532428066518,21.480733425012467,26.80300435537691,28.064908313856822,31.214169897581034,34.78261415682541,37.14129964097081,39.86966697587056,43.46057272294058,43.439927853613376,41.89218320682951,39.351998525651545,34.85608072918748,36.16660173507532,32.833901562092095,30.4410176671147,30.080494868490575,30.291031199150567,32.97373786126098,30.288398048871414,29.62102497574931,31.409534124245912,28.373460158232806,26.99104125917792,25.843943816606096,27.310608900163366,24.35214085214878,27.403175097001988,24.026579429593102,28.148174628051123,25.7842296166215,23.587532114548832,25.705586136740585,24.08774389726114,27.978867703550893,26.66177059239621,30.88423198601833,31.571455658960712,30.98116004125716,32.146764342386604,35.109512751225466,38.36348611559818,37.5854610056979,41.21041881711669,43.457648395892555,42.721112761184564,38.581856463363614,38.80867620443243,35.275901877184,36.94363398054334,36.54023055968147,35.493240032440355,35.72482233746693,31.730223206891527,36.82792909119457,37.679840616693696,39.96529178587423,40.21407987414251,38.01987268477841,43.28506665068794,46.0056824496797,43.071223238101986,43.61490105668808,40.561189296580466,45.661014539074294,44.44105172920416,47.19709221706547,49.264369100589064,45.96562051809275,47.2012473085972,45.99095667904059,47.2062008058122,48.87685679351798,44.902394314681246,46.315057258464066,44.91979699762369,42.12503477597434,45.6297948359849,42.60591910430096,39.3465409358534,42.49127084492849,44.237016031680625,39.5787730532547,39.03105371002571,43.000190544312986,42.576931099618015,37.77402417083225,40.13624642710402,42.31796727323649,38.237981164910856,37.005290480861,41.722525378009436,42.54308145368932,46.23429017161587,48.49728479024793,47.56132488718301,49.952850999824,54.61576044882145,57.80136621656031,59.40317164721969,58.10064342908011,56.76136282378308,58.35904988962468,54.820241577882726,59.20134412765344,59.512445497840595,53.30753118960553,54.7014072339307,59.018118629948304,55.90939599978259,52.858099051764356,55.374748108098444,57.3996415567997,53.70734229482696,50.779580048120145,48.21468671320028,47.8153297830936,50.92922202960709,49.83103330723996,50.18180640431363,51.85571591193171,47.77707003093477,45.601493731286084,48.03989808998947,46.71969278240465,42.11517274818963,43.29190923827538,43.84972296499923,40.9492780035228,40.360540394285444,45.204605825992765,44.09106148605975,40.101515044974676,43.837711772844536,47.5905909171196,47.7948922498366,50.02618128606196,48.59879943386204,52.87844496682748,52.56775533294781,47.52650006813302,50.65405766635634,53.3985858331605,50.75499674049221,49.12940033797911,55.15818729990235,55.04377932651217,50.05339586124527,51.81504300134704,56.88304934085825,55.90091020188333,52.11545569987498,47.73076081118251,52.00038026554144,48.54371840687657,48.90599581579221,43.50367897310087,42.34741898890919,37.525440415822146,38.50658910323624,39.927625545937296,43.254964910817776,42.8950120577267,43.36093376638787,38.17312046811674,39.40668926241343,34.37180305608257,34.15699441505225,35.296625528635744,37.2492851376782,33.52406256858027,31.58106511001263,34.02982120429753,33.087170106211694,28.15526974024957,29.41445153585624,33.26778494100891,32.88510229576988,34.14751276734036,35.900117428609015,36.78504203165741],[29.243881276441652,29.225539940389886,30.10578211808278,25.74782832792582,27.252115746290382,23.107109715951676,21.135101826653177,21.81712876949553,16.933380064354647,15.214364225065463,13.567106175354088,16.860873199371984,17.90074587435977,13.426355348441207,15.40118700626726,18.789912950114772,18.94065496356613,20.95792688902304,22.97587499756586,26.799538407690008,29.105552731105654,33.75998198904361,34.04717255410101,34.322060467036145,32.67177477598445,28.136660413568645,27.674335304559154,24.017301303693685,23.48579194740276,23.570475806622532,21.736677045086385,24.34535009199259,25.676342354106932,28.402057790433837,28.282880316184063,26.93238364556167,28.493260061978454,29.543962165972406,30.85166717376026,37.282548804491654,34.18451645654133,32.711872210206565,37.02335390310262,38.495599526067295,39.4718913226989,40.035114993196956,43.8825650296666,43.2410141498777,40.46763753597658,45.34548484323589,46.8240789899798,46.21430940943818,47.166984123553995,42.08976335581138,44.38629827406527,46.80858049564424,42.55015890665903,40.437388275173426,44.79487852108487,45.3308722719376,40.03528338499823,39.09349793676004,36.13061545926367,37.19029894757434,36.63834222338,33.37059601947369,28.633805961332357,25.409803538939588,21.835921032254557,18.353807015016773,17.186329363154194,17.213519859135452,19.629184493880725,24.153545005115088,24.37341930454109,29.93811357110069,31.31156752225488,33.61668284071818,34.54435463406358,36.88100141102268,36.80765557076684,38.34986498183348,37.067066786744604,39.4276920407465,36.61293663961828,33.62251899683971,33.33362717358372,33.20353800998934,30.703213063478106,31.92810684247642,28.03880089570877,28.667957973192124,25.202660208950192,24.020589476977904,20.315697186921085,18.645632261882014,15.479994093554687,21.034833357686715,20.841650778785286,24.4604078025583,26.232384301721076,29.338920060651272,30.232123169405213,32.14596412675353,36.64860836580885,34.09086062247538,38.33727024077245,39.04583882805276,36.42596168336545,34.00539024433094,30.48854095544696,28.0962085027082,23.58761148439656,23.552924682769007,19.760663975319453,20.380812834055845,20.49958303089193,22.056509063084953,22.02199119799333,19.21520927042859,16.74569811367769,15.394632855590919,17.188189362937848,17.812532090103545,18.644566074479943,23.891005568924683,25.676950181733027,28.663375946342146,32.33591852221128,34.821738691253884,37.265744000169676,41.0207173993124,40.78126702554673,39.54004111567039,36.62207370805138,32.081414519070634,33.1701151157716,29.657351424471752,27.07138713430222,26.87763065047399,26.82237213194389,29.660762944053456,27.230932450343,26.623823491683968,28.676092729934126,25.972857547798302,24.40350422027746,23.654336832360798,25.287125787536784,22.574443893529395,25.965805219658005,23.13504857481021,27.677524256301897,25.939244342804578,23.80761595111223,25.43710614501806,23.311788351854638,26.918357665551277,25.366818425684166,29.160791699062234,29.288446864661076,28.82703373651883,29.415715899300288,32.64743124296555,35.53527953540164,34.438627145784025,38.12610054471102,40.17474887395436,39.44628732530473,35.29195497559048,35.707886242464184,32.24958001744096,34.23462943748222,34.138078033922156,33.40541982696849,34.00728843224083,30.19604474241889,35.53308934364164,35.92000964054417,38.20029467934696,37.97483131815293,35.907014033920355,40.97031023141199,43.54004755881057,40.47286349059772,41.077921552180904,38.07824681786802,43.08501406037809,41.518320253834226,44.32509234894415,46.2739903896815,43.097181577263115,44.25559725059129,43.07627818386305,44.382986049538125,46.07454316074908,42.098777005635256,43.72672483373127,42.377371830151425,39.837676343714115,43.48441074036308,40.72988926517168,37.27122853534017,40.26953399960748,42.32635909670381,37.762581665041544,36.78767274329689,40.97619412735702,41.00732173865632,36.0045328881859,38.246329667550704,40.70557229390298,36.83035128314692,35.2931682023847,40.01692908156525,40.56663193405422,44.562559306569824,46.2761346496133,45.484438186127065,48.10788880048144,52.686852915415734,56.04987903134335,57.54492368757783,56.3976936724118,54.94289754106363,56.59168819733822,53.06222198152823,57.302064422138535,57.49560153268569,51.223118468119566,52.61972679281028,56.75353241860894,53.537275315724685,50.477547135871134,52.95648264547597,54.781515987258715,51.04514514816132,48.09420549940701,45.72971452111967,45.57427302663416,48.823020403971356,47.98179215538288,48.53631130970983,50.50198320347917,46.428779915421536,44.02968628747522,46.6318535204397,45.635593660277,40.857837959296035,41.881894918248186,42.82165223698338,40.03983019677539,39.12708017223246,44.07875223107195,43.261627312327086,39.20569014900319,42.66589603101927,46.50385549877845,46.42862935699501,48.66152165685926,47.11477916699203,51.28920911659621,50.96652157910416,45.73882908758841,48.776107970523306,51.43707557684673,48.731202115695176,46.91134127118758,52.9455141932279,52.743936020011496,47.63081100539821,49.298790818219864,54.383814515636274,53.33312645322121,49.47311078525829,45.0798485055482,49.235040504378084,45.76917402225355,46.413128423050296,40.962959862775165,39.968634508801536,35.25395920767186,35.924571159830556,37.22697507539335,40.415701586195034,40.04057496664039,40.767844492178035,35.569998238263345,36.91977653460328,31.85038117384401,31.99304547659254,33.53642828986189,35.75418258587142,32.29751076101833,29.898685077396305,32.48697485185882,32.02013562424995,26.878806708251492,27.86408101410944,32.09088480656354,32.11773697599203,33.44100629376751,35.13634841395181,36.012191284405226],[32.460731461152356,32.10551066979413,32.75743037718906,27.767966863906256,29.122333054552207,26.08127171078382,23.930216324678202,25.277879449985807,20.64363822498458,18.088843507983675,17.007852771607492,20.81779810139808,20.4823287230362,15.605232092292288,17.678469642255354,20.94117707109094,19.9788254892199,21.296633391971408,21.95593302189329,26.305127781476045,27.89849831078993,32.634001668040355,32.312954373152536,32.196502380447235,31.120089506038457,26.61739421370688,26.903924444162012,23.764068622936993,24.058046834770444,25.15787929864747,23.282724739001363,26.749319884335325,28.30516115028141,30.323375257633504,30.00048991696023,27.961885200226657,30.11013385045108,30.021791949299317,31.003986328728686,37.46253812953953,33.61997080996052,32.03712302952618,36.424198994986966,37.484745029772704,37.92722538103915,38.552954677181035,42.23691907937648,41.993198225837766,39.71331499685641,44.40120287160885,46.16284794679663,45.99712898434965,46.95950260284928,41.995631126926696,44.72859961010632,46.61959403137463,42.04249130414737,40.48398057719235,44.74781694527881,44.623726757723176,39.326557142984825,38.60620013361982,35.96338722492399,36.263096096634776,35.62719766477251,32.86713507694224,27.59871119478383,25.112609048000234,20.772627805953626,18.181571059021795,16.115447556307576,15.643473310672741,19.102033438089645,23.094277095503458,24.44509077839226,29.926833155627538,31.414183534963843,34.27239980537299,35.191769872426455,37.291255756459684,37.79737566212429,39.082775079375764,38.52377402188833,40.535384263435255,37.32547499922153,34.64207634479884,33.857897823242276,34.516302495473866,31.32504300041043,33.20727096637259,29.026327980032146,29.510921497974724,26.557464237363387,26.126998401985322,22.68655592825021,21.41451959246767,18.537810441839277,24.31089645055783,24.512256244395857,28.74321165691517,29.556008689415773,32.90460243996934,33.00255178295911,35.10548672148822,38.98659286924392,36.586091085229654,40.96398848096505,41.255182622646274,38.76388085782438,36.730984296059916,33.13059463005033,30.270033544507985,26.002375601307733,25.03968866358613,21.03263136817337,20.617544126656053,20.340389812377634,20.90071924295564,20.322402776571526,18.682805109461196,15.904297656018015,15.52165178642219,16.66170154472304,18.33445907654905,20.17418694280783,24.991819921104142,27.866247205624852,30.359372574415673,34.15505281087064,36.59563581456795,38.679784075723255,42.605751751967254,41.82270135339429,40.997971135936275,37.51789566554597,33.00869386049872,33.87338574164879,29.824913619819885,26.712498839905166,26.598683187187397,25.361431388039204,27.945089545869074,26.02529927813511,26.091684496228766,28.343225336010192,26.386465424752828,24.97204405557699,25.156979043615998,27.342426647332612,25.31973677127465,29.205349525509174,27.080201672228235,31.873356641346366,30.769377679251857,28.483250771849804,29.565026113222068,26.911087142416097,30.2740577655578,28.10810072283258,31.589682561430095,30.73391108627645,29.901428202138746,29.662498851429497,32.99307670579391,35.437167942460576,33.80351847919996,37.85791452191133,39.402204766936414,39.025156700307534,34.87527842571353,35.7665654923533,32.36279945047759,34.72461027280187,35.08242594512037,34.68153422208472,35.88481013534417,32.153385974430584,37.627275447845946,37.324607780199,39.818021640130034,38.93978312548719,37.544544793611855,42.14402726195037,44.34917169653101,41.03108967619903,41.239607264297625,38.03112388871136,42.76553501426532,40.53330546926038,43.7766003176498,45.71657907686463,42.9550348272057,44.285243344927025,43.402015435410625,45.02231954246148,46.90600349073654,43.08074239700763,45.163604606833836,44.01813094045294,41.93133538541565,45.819858270970975,43.49374919811709,39.79292815233304,42.550095772783806,45.061289446621956,40.68356259677128,39.05179710611881,43.522793303116224,44.19593212704843,38.938129942813596,40.91894342403352,43.72000874872327,40.141467625467314,38.12563732008271,42.73710128277154,42.95724920571871,47.36286306733641,48.27257262270003,47.82023873037653,50.761357408335144,55.234306206724156,58.78305658912663,60.18227353401051,59.3007623783954,57.70552987702459,59.41006198925905,55.89067438675149,59.88836454602058,59.94068518615522,53.60566280952683,54.9526712362616,58.77733737547367,55.42759969703918,52.351998088411925,54.686141669572386,56.19391141067474,52.41816392948103,49.36903252405471,47.46855964188378,47.633009663897205,51.08618094513185,50.692137246231034,51.46068710866289,53.82813505820087,49.726503342255235,47.10090510560916,49.96615296343607,49.334399462355435,44.397458690589154,45.278439023754736,46.6483918098876,44.0138378506597,42.7551162162828,47.77694108785439,47.26616839751694,43.13878790247001,46.25842635726367,50.17171235758348,49.78907293079979,52.04734017410382,50.380453822242586,54.38914636424286,54.030908057344725,48.595426683592734,51.4981712416333,54.00188557590962,51.20164053181106,49.12291048724992,55.11694965077554,54.73235271294771,49.45137693688863,50.97217363673183,56.03773467754301,54.8192428465595,50.84041542841368,46.432512941197125,50.25022071017828,46.70151302006538,47.87164385818187,42.39428544514855,41.83905408536436,37.34925452307512,37.35339107878297,38.5341179381047,41.40161311227561,41.094557350550616,42.374770801910614,37.245475218868364,38.75877110259162,33.71146269368411,34.49053125517978,36.553200227271994,39.105458417540675,35.97770524579532,33.10712185424567,35.835930826506186,35.919991274326115,30.638392887572643,31.24300973794226,35.801416629261944,36.20796472273425,37.55808181015323,39.15220627063079,39.907021120200646],[29.112270228953737,29.403593266391983,30.97423317195997,26.345399123659092,28.891869330485992,25.104896861615803,23.891976932221166,25.282499048569143,20.547532095533644,19.457448623141644,18.46775607564012,21.831579915457887,22.91245488826046,18.377532233706525,20.95738451102603,24.28403193824799,23.995537997530757,26.120740115695167,27.572942271180175,31.65381212258333,33.7021370058369,38.39018332704503,38.353021543816574,38.2464718065767,36.85197969953672,32.29491021054462,32.066350782891135,28.530483114394436,28.53369670392933,28.877418400386592,27.377674543786178,29.950481915557184,31.40002602438917,34.13205119444671,33.93184678245349,32.39669970357031,33.90995543663736,34.61192505315651,35.605633219339246,42.071899833629416,38.53930707562922,37.34418007682764,41.78108744905803,42.91570997178845,43.530966320174734,43.87507674312586,47.72179652866581,47.48881721377449,44.76203338368056,49.425040628800154,51.28627577287196,50.832212549859264,51.98580984638983,46.88136442143395,49.52988552725698,51.83420311767345,47.427597723662224,45.61935142260352,50.00987460810709,50.22786139263136,44.96326063745482,44.205656864088986,41.38268170419775,42.10472272310708,41.474427238889184,38.41086581006624,33.43835300684822,30.539785444431402,26.58371390346609,23.496223989638086,21.890041560538663,21.585713380582387,24.586465504621955,28.919631797513837,29.662844096726026,35.17523182444505,36.65054053733227,39.13144039894974,40.05225622310203,42.2786051421278,42.267747420478,43.58017527355606,42.35036060107234,44.453300400766835,41.42261184511926,38.72709693516698,38.52465129232745,38.683214307363606,36.11726386964844,37.579300497604706,33.62491234982049,34.15122025852476,30.793739380466732,29.727890837924022,26.059123784610563,24.335056714697377,21.198383573103882,26.670763906909396,26.236252643425942,29.484959649618357,31.611736367913107,34.271265239293946,35.408458662422596,36.83442829888458,41.19909834083477,38.21382926029336,42.229701657670155,42.62542460440631,39.62133510366027,37.57810408109763,33.72046504886465,31.762270007118268,27.20932914506927,27.152503864892424,23.80647936268907,23.91622961845419,24.555250054689584,25.448631321331163,25.876654229385995,23.752687026607866,20.839995840695728,19.530754149586542,20.1912627484382,20.911719828381816,21.641675570502333,26.722424258169617,28.460745870557535,31.698528897009627,35.354563523829235,38.36939288211018,40.18255453052391,44.21179726407059,44.025803090620826,43.28798455927783,39.92222951805902,35.335019049347444,35.63364413686287,32.25717746504933,29.444451146802464,29.94444014350834,29.42037242679074,32.645323830051616,30.831154570170533,30.332523410029033,32.79553504475917,30.528381750620774,28.669877307981487,28.202505206282865,29.664180064645304,26.82723591083177,30.019350348676845,27.237683052175687,31.858240467595603,29.689545030384018,28.22294086269786,30.157501364352388,28.176800513321663,31.533439219999792,30.324375489751006,33.60773918139643,33.50651041836097,33.48770515001474,33.39475684267625,37.01218630881253,39.315772676353944,37.65063827785924,41.27207981714101,42.904582271032744,41.93949474396027,37.82531619755958,38.578562626121254,35.45660693198392,38.030712337929124,38.33412034540119,37.98867871238931,38.79630775726749,35.239970812264346,40.68760993603089,40.8550807690771,43.00575019204248,42.39086692343568,40.14823866951585,45.06245831212068,47.524319312635,44.36853266433274,45.260661632863474,42.42082582829454,47.279627224073906,45.196879899704996,48.02985957000355,49.699003892185694,46.694147466409945,47.523799274297154,46.20401889382707,47.45455730973598,48.8840897842168,44.69493704348526,46.37694502773544,44.64628927675431,42.45063203453362,45.8115321581875,43.26693657341087,39.67996645307509,42.0954218231184,44.22366514287735,39.62652640541564,38.02729683583779,42.18622897261054,42.48437750711834,37.04428019817301,38.866595212441524,41.3389414139523,37.54415991370514,35.46653096291392,39.926677226101326,40.61285628599877,44.727572876305025,46.37711973034891,46.08641975649414,48.74701894575098,53.571643322461696,56.70374105183295,58.5625018948803,57.88761394864163,56.72113172075851,58.706022467471136,55.50493943875699,59.7630319089335,59.53774189788947,53.29065893306692,55.07894332637097,58.98732304285397,55.437575143497725,52.65137059015893,55.42336759730839,56.697638578331805,52.74202152558242,50.36391728124195,47.806474651229095,48.36697512017213,51.604995394475374,50.623086920654416,51.575734881877835,53.413749967613015,49.67687635251657,47.07964242829389,49.22974277944851,48.48850582485258,43.73399513781249,44.19676370517801,45.07426474927659,42.26105966343098,40.95260282098529,45.79662004150672,44.906476935026106,40.522221244678455,43.76668163177938,47.675218380838054,47.63008111624513,50.258024472727634,49.082559289977624,53.2251989554654,52.37912931814702,47.16356756095223,50.58329488294439,52.8316084589511,49.87363265505021,48.40098972841055,54.43438355780427,53.6978352024633,48.58442819449979,50.69497057848392,55.57501284300543,54.047706123016575,50.13138581226058,45.537583381159344,49.32987518438527,45.5400946336567,46.20289307369921,40.78444427273502,40.363650597670095,35.63893988381025,35.81092745417671,37.531639650611616,40.67806321800887,40.825759788938164,41.97255889904133,37.1536925756517,39.1222231158015,34.12946338972543,33.97938756137726,36.22976455309026,38.27546802689817,35.24206641265672,32.41145118355226,34.35042509553562,34.128278654296025,29.343821276342343,29.27592059319453,33.34286639089041,33.29997001992894,34.55840470069843,36.18481675667806,36.79163521386442],[28.589217274346595,28.424988767608053,29.803952418981126,24.533211192071178,27.24569286525474,24.81250526340632,23.80177968253636,26.2101549229109,21.96293315540913,20.571189538487406,20.643678322557022,24.561774995996128,24.4635784910834,19.792419365392472,23.291021248250942,26.33703520821338,24.90957831901158,27.169120601904304,27.7381875264976,31.99966165030778,33.780026959358835,38.346879359273494,37.98315952861703,37.25082217150792,36.02460728573534,31.543763994149387,31.50938482519208,28.25483959147622,29.210074043133318,30.231927358419416,29.72887223319722,32.32850251371413,34.4570991355831,36.98804584259972,36.15121949239622,33.970443506343564,35.408444077763406,35.15735573153451,35.53022422966762,41.934569021624526,37.72484945508508,37.07593374652956,41.667676455524564,42.20588140149231,42.31068984200088,42.25477220284911,46.08131117981761,46.44433484826372,43.74649618802156,48.01876891089249,50.45522258796637,50.2567828768513,51.76521802425266,46.66446776795413,49.99967547033484,52.08475975165615,47.47518905047914,46.310035018732144,50.809533966288384,50.4256796890767,45.35884523890909,45.23176554489326,42.857498035142186,43.13855531969627,42.0278314678812,39.186212930759574,34.18842560732602,31.791689191365936,27.466733814279454,25.1647877546834,23.06797226390092,23.137196456428164,26.673299560813266,30.453789724116444,31.696777724092406,37.42990872581235,38.38432019085997,41.42823534505058,41.89718286597193,43.63680826375291,43.65152439583776,44.33105275919487,43.40236190025205,44.89551195024576,41.43339304355439,39.34911692327294,39.25733887085336,40.1925886118428,37.54138211948522,39.93293991592403,36.01116436809844,36.995971716189686,33.900277809110285,33.10148359091585,29.18824095693954,28.137562975473433,24.68031958641013,29.981716317781395,29.314292320935472,32.82327895605377,34.249176146066716,36.461562309450706,37.152262748709866,38.10056331108737,41.7566374515549,38.50683936274414,42.395274954777705,42.18491057003,39.04610046987309,37.63675597147352,33.5259240765537,31.519670304856866,27.225747427453477,26.50042464081215,23.561591823419178,22.738203610997868,23.821402058384102,23.76035590469934,24.9158632066249,23.78279401564973,20.38705593050056,19.26618314142748,18.507478901160802,19.619187666410845,20.779589706140165,25.25149890298616,27.70225852236718,30.636040020821895,34.30119790109014,37.624053106122524,38.68596808331658,42.98292576175541,42.4776701911352,42.431330147142496,38.38897350171568,33.86067689949486,33.432203330116174,29.93476684982749,26.78586073717322,27.894612871858588,26.662041179074347,30.17978108744632,29.168574921503023,28.873282456486994,31.79768909572958,30.321359250225644,28.193926718760217,28.448664105062758,30.008927375651435,27.623112107960196,31.034629638707596,29.096629845502036,34.06984489661743,32.595195864208655,31.412480261351604,32.80747031027866,30.347797932512375,33.14923694034479,31.790223356931392,34.21622743651664,33.240490132564105,33.55259101798032,32.34713478851365,36.37434043474133,37.814717075453196,35.438652053152325,39.04209160084177,40.107571086483155,39.083654161964496,35.07088657167546,36.286237924592974,33.53845046337381,36.779362926047156,37.69856315573875,37.96295525948084,39.34159059105974,36.22210017151462,41.86140916231626,41.31849405350679,43.37347913017762,41.95501245154084,39.911120729285166,44.34167659265391,46.47629213866901,43.15019570002878,44.20607167954322,41.564308452588875,46.10354987766229,43.31102125677317,46.19634696638608,47.53756157319618,44.86960786783613,45.43408898299546,44.14079938429274,45.4956047716552,46.82632536890579,42.62904832703098,44.64727473867719,42.86384632052062,41.26688738861864,44.65544028574907,42.66162273603723,38.80947516108882,40.68817660369961,43.28383012443297,38.92634955600594,36.426527228421186,40.820059046596626,41.928688689502394,36.13517080451997,37.529856860703745,40.38725331740992,37.04037082133299,34.30609467269599,38.536412289103666,38.828691134775376,43.406139328147425,44.10575136585866,44.28661311472681,47.28916835818237,52.01619214326695,55.28662142120031,57.110937857861,56.879209619401955,55.6669455332807,57.83920267188858,54.822405760480564,58.81957596005801,58.25158463963316,51.99263591411823,53.91714140993665,57.401269098481734,53.58943816301669,50.94363721478623,53.73707413006505,54.444964541969924,50.37598124038786,48.24429178698851,45.971493461378145,47.20258994353885,50.58675525013863,49.95515990090869,51.34679211211702,53.53439416549172,49.986162328818466,47.041132040941136,49.22167886484698,49.0516663080315,44.151664020106566,44.17460400047976,45.561848899937054,42.964151309735385,41.07236470880499,45.927589104309654,45.4558205643357,40.94644795465614,43.62833608128165,47.61596776209916,47.16617157835738,49.910075114418284,48.722695370137586,52.63001609565513,51.56835806751925,46.158171353248704,49.53852992518605,51.451688278532195,48.33332795515599,46.727499112150895,52.67729258792454,51.57878637526109,46.339625392516915,48.46346611583598,53.21377097842573,51.37783592435713,47.36209788967816,42.72779832888248,46.092299905271865,42.17434524183662,43.32666012502649,37.93477813852202,38.08385080481823,33.65341697963007,33.032683208259854,34.71957911021223,37.531736681702206,37.914824629434,39.684948900448866,35.14798161526747,37.5333044828951,32.67985811720446,32.969587652023954,36.05044668464989,38.35415191656552,35.955833234584475,32.412561649259985,34.22193355687733,34.790683236059465,30.037982991890548,29.1547267160336,33.54292331857129,34.05801855588154,35.33477898519979,36.791548420473944,37.228001794425914],[26.0668557870545,26.583941692223437,28.794930313793323,24.12243905953416,27.73580655564047,24.451218004877727,24.199679254963232,26.343739063603508,22.097515972830813,21.882475697501814,21.78634573825855,25.146596714374915,26.245231101046702,21.965594663734386,25.45024752176959,28.549483302093485,27.865087559888398,30.573955053220345,31.916646410085203,35.93735483304901,38.11346963622801,42.68232941145458,42.629839283624655,42.10386641794288,40.585802881502204,36.052852833824254,35.59906099644877,32.009593910156504,32.481539155192756,32.811440393424526,32.31835946909139,34.296611486952436,36.194176388238404,39.23693690658804,38.62120748467722,36.94735300476582,37.95979345740168,38.50338837332629,39.05720919539241,45.450774341754126,41.68613132422759,41.153915921556134,45.723974441036574,46.491867808212646,46.88646857374132,46.74449555290778,50.68799750766036,50.869145127592056,47.83082255827109,52.18750110965626,54.51807406660332,54.02983499294341,55.580969792343915,50.38780790275168,53.46676604259374,55.91689635757009,51.49708101522524,49.976126624250405,54.54042927351699,54.573962638691,49.48054867002002,49.16696966369486,46.548794682219196,47.261596308378905,46.26936659372424,43.138081138672206,38.35810740743817,35.530509861693744,31.554943201800352,28.70832269853972,27.026628197494972,27.112058330483848,30.232055504501282,34.39864798195762,35.10086430968427,40.82557175587613,41.87667626364989,44.52623622442982,45.09002147195566,47.03266170060307,46.664755764706065,47.51762427469743,46.03082635629518,47.736189570085834,44.53862733894817,42.29513353336719,42.58940978762627,42.97094029751179,40.79061660407608,42.66861131716331,38.90885953076896,39.83729424725607,36.41491615906182,35.136757746439066,31.149953945026102,29.70227120411064,26.19432449846189,31.231594950859506,30.189520417730954,32.892207803107816,35.35065266995114,37.12392998849882,38.65028375948109,39.20000597207786,43.3345366992847,39.74927772384794,43.34528086168708,43.36353093922617,39.90014582200709,38.35196534323984,34.171153110623145,32.908088967900426,28.43933683737489,28.57171484949347,26.066509257131848,25.903418958760238,27.421753825047865,27.904776252874807,29.444179361480163,27.674010820682636,24.398869318087513,22.688029510909484,22.13660489991378,22.438785491824248,22.63797435433431,27.306172602885365,28.623579130407467,32.138551981810274,35.619067265803224,39.249669132180884,40.287600898870146,44.53826025449844,44.58861394945981,44.42033682797575,40.70013387659324,36.1638807265377,35.52025057965295,32.6468574397304,29.909762309360477,31.24156721470265,30.791465888429528,34.603970438077354,33.39591206403431,32.64306366196122,35.52973782443369,33.61315181782998,31.291116291834175,30.889387274727113,31.887481927674568,28.86145917737227,31.632141162199453,29.0816396806084,33.742616935868206,31.37504624177289,30.80494932148169,32.88353077600885,31.05346015682105,33.90537077976885,33.29157799359166,35.7366962546988,35.54789464709307,36.345188505522586,35.57891301220831,39.64417256490848,41.225944886001926,39.07706675527068,42.31834583723126,43.62029268001326,42.175563456757004,38.216363311850046,39.16199276608765,36.55313628548287,39.705845291085645,40.39826094795061,40.533634899553036,41.46310312137465,38.39351305584276,43.9154778206661,43.89357883183771,45.70663194764635,44.705351542803115,42.00036202321957,46.75118713653717,49.15228612261553,46.02450788639566,47.5365216561474,45.12792059484044,49.826880841574436,47.38367939054659,49.920993964579736,51.14799740875562,48.210879784960824,48.46796940252163,46.84278282504297,47.8672013156643,48.85869720486418,44.42556742685283,46.01001556772397,43.79467737295861,41.97529616004829,44.89230429338752,42.612853267340434,38.96678920853634,40.67114019652654,42.80843681634489,38.26967629756474,36.042828203914254,40.05833977254899,40.65716636255863,34.859217014800066,36.192699351736444,38.649755387654174,35.06105615663088,32.44243717359671,36.540316659731275,37.32576154350592,41.50564781711912,43.059139716959,43.25785965482195,45.91651755147175,50.926813343414096,53.798796858921285,56.001124076173774,55.83477056669614,54.9905995730942,57.33236767744928,54.54946650923144,58.79179790592942,58.087205867298,51.94715283800963,54.1791209453874,57.81277482738698,53.93474189974394,51.50781946847837,54.624374270341804,55.292506021201994,51.140768088454244,49.50229601842058,46.64702619808354,48.00978146239606,51.15425045754216,49.97260966223377,51.39620127960563,53.06390202215795,49.79552776987656,46.978550699008906,48.55810287116587,48.17981754677992,43.506657521653324,43.28391345497508,44.14861448995731,41.3903601693677,39.593855294624056,44.246954266034486,43.38259544242237,38.72688168961815,41.595429600760504,45.529581856784986,45.449898464808435,48.45377304636698,47.683348144118725,51.72121297191297,50.31578127758098,45.1768141352332,48.96274243603317,50.73080421546747,47.54552003221841,46.48871753847747,52.44187186460437,51.15409762178538,46.13094041688656,48.71863548847473,53.312056626211,51.31913423351255,47.416620309570355,42.684314247109896,46.114991656760864,42.06787544216376,42.639106792619444,37.347335580892214,37.46149448136591,32.818267630576806,32.55279585876541,34.69065686736206,37.790882200187056,38.48517026435236,39.94864015317613,35.665749725987084,38.2732138301556,33.515286035442195,32.935138585960644,35.9223765812021,37.72308266760966,35.31082280414467,32.013167621304056,33.161054973983305,33.31185378352004,29.06564425638737,27.789011455168048,31.60515484975813,31.628901257067113,32.81447093742332,34.32177700545102,34.665682734901665],[24.923760371094623,24.86218171519399,26.736096554859657,21.51378581030395,25.196459138133815,23.31165091100238,23.256789329976826,26.28607042562741,22.64422513400811,22.195005713690794,23.042026128055163,26.783939906032632,26.843236529467404,22.636895223901337,26.845400734258785,29.61978465377247,28.02712372379526,30.925388655721274,31.67003837341041,35.67550540835465,37.72705187704869,42.09530941249747,41.88099107502944,40.84121596676999,39.346128559241144,34.95065589164573,34.509020083275665,31.154558814684126,32.38479867335232,33.196243779701874,33.69586551017424,35.5429480031174,38.06376612842456,40.97892875818712,39.756875754676045,37.57726805665104,38.39719794113027,38.18942994108305,38.178840928981714,44.418536939452586,40.18646480524961,40.24221950770494,44.89630475949796,45.15201165693571,45.16831669189255,44.60328006440295,48.53093472600891,49.20766222025786,46.09787302675517,50.06217441717944,52.887727472513674,52.55796946705336,54.457987995093994,49.28585653511291,52.94491344344765,55.273108678869754,50.756624470282276,49.77699070473674,54.444110505840875,54.01924205019959,49.169063586259675,49.45668708035062,47.243580667747004,47.69382174632113,46.230549771623856,43.22202180971154,38.60213866381577,36.13315386075694,32.02601324194165,29.79278054599626,27.86006472081868,28.419367049136607,31.781123885367514,35.48351243525484,36.41048080247747,42.33572086830517,42.80999799749453,45.89747884963755,45.9877423825097,47.464031835905146,47.00235286505293,47.25148888857846,45.949552641736126,47.08019355949661,43.55676123135751,41.89987452371182,42.40042588481747,43.41113793270293,41.303358576747854,43.98213200136754,40.345387570069896,41.772630860895475,38.54064163463281,37.413968321151565,33.18631642763145,32.37091667038178,28.567422278957444,33.34095494369331,32.05897536793255,34.961706537474875,36.7393281240693,38.03676280429995,39.163469949495415,39.218692356134746,42.660609179617786,38.84576876176181,42.2624757198415,41.72082939965862,38.16172883813953,37.2259526591711,32.873673437465406,31.625484830596413,27.496062083365867,27.083377902051396,25.110930803761786,24.223339475128256,26.2222082702196,25.976594713597375,28.326627424289377,27.290647131781352,23.733121565510324,22.075706958468707,20.300713638724215,20.727077828844642,21.144081736086612,25.08087617238576,26.925730581729958,30.11050807309627,33.5187515283806,37.404307850049996,37.726744230635866,42.17195796427618,41.977243094297165,42.43848184647939,38.174638926208004,33.762978339754994,32.42670622936425,29.591598147239548,26.6959217656573,28.615384973510558,27.76413041047143,31.858576312581636,31.351645517947933,30.65154760268985,33.893254286356274,32.64824176941183,30.08041402960214,30.238140362675416,31.22636112803246,28.639161191391292,31.523566394232294,29.823432350336535,34.73626613010966,33.14130782737488,32.79246918100622,34.29421379099356,32.04492507202169,34.32306057884767,33.621162389554264,35.21354492623318,34.29192905306036,35.470757282474274,33.76081283371823,38.1477645263021,38.92428062330529,36.20898088283169,39.298987184548785,40.127485887932195,38.556252380749584,34.75206292711833,36.04946338259198,33.85457475535498,37.55680470245466,38.775423410515714,39.46413319628994,40.85855254810666,38.25769052723223,43.879749544329236,43.250093990712514,44.91158267096064,43.222227856116085,40.641343742077986,44.92236534529272,47.03256605886698,43.81175724984409,45.55324950860165,43.41892863765669,47.804591126912825,44.828389776803874,47.283187295170336,48.169066278763836,45.50695037520336,45.456565893261725,43.81538296124236,44.87833333876942,45.7342407702377,41.31128203136443,43.15829956691876,40.899940362932035,39.6434178337732,42.560326851213034,40.81889355102706,36.962798326965974,38.158508597941676,40.72847227119593,36.47347816989962,33.42298895869537,37.641284973351354,39.03069515157733,32.97753968580471,33.91137205444556,36.75442030593795,33.66028417026929,30.45385795471493,34.325475096094706,34.66045321640063,39.28785876743983,39.85885692195278,40.460494817927014,43.45246834369148,48.306662400108564,51.34921778301024,53.44951218367018,53.66205642260005,52.73946826761451,55.21988775822794,52.60094660972702,56.57057228010006,55.57134284151268,49.44609034978257,51.77384795216036,55.00402129365472,50.91590482789036,48.621724554999055,51.73777868409507,51.902842461378114,47.673346161598786,46.26816161867303,43.6791698984626,45.64004628823044,48.892984805799045,48.05372847943954,49.86925699370519,51.875000449325555,48.7910266255797,45.6696068114047,47.29899146811995,47.472311738835984,42.68903746368889,42.07928936609068,43.46693818666686,40.96150253331443,38.62984687829732,43.27199408444202,42.867868882210054,38.17812566237459,40.460574683291355,44.439716042293846,43.92830983150591,46.97266209198273,46.14353500414959,49.92433278839912,48.376704166110954,43.06494852629982,46.746474394997975,48.219034671426705,44.91845935060502,43.70015176162228,49.54427493241878,47.96626459816489,42.83981088540995,45.39632407161408,49.86397497627407,47.630141087378924,43.65045288508677,38.91274009057553,41.97027597926942,37.8443875494213,38.88244475474674,33.6225874705591,34.23446340821158,29.922957614179424,28.912026454084298,30.96782246246696,33.73986487115608,34.6251836973923,36.63617219722346,32.651280166729855,35.61148874655385,31.05514728184529,30.893910751648637,34.615376062277136,36.65821564789115,34.88213378566274,30.95630216939981,32.00932816141272,32.95057654320071,28.76966837775444,26.789218015196283,30.90701921313983,31.548645854083773,32.7535226278241,34.070176038784226,34.28219340647645],[23.319791694128018,23.662398914786195,26.29858898631081,21.60374484800323,26.288098236634415,24.7747725761099,25.716669843972046,28.996480199977732,25.924167771165493,26.364584303999916,27.548390834110773,30.945785650845004,31.396305425734823,27.610480568737863,32.05598328595665,34.67970969323109,33.17929689425473,36.424435192166605,37.33723379213361,41.16699721890231,43.3716312622884,47.6152972020474,47.4868013741564,46.28462544504684,44.657204867018585,40.34640545528205,39.66341906973165,36.26427628097528,37.56157637152897,38.12711120280962,39.11502398446311,40.44420637701567,43.080152135659404,46.28716950880509,44.93718306110176,42.87687524730291,43.278025010699324,43.23701288164724,43.027696283958846,49.10315796283011,44.9428300353756,45.435444519135594,50.08974122148182,50.186036267853815,50.15362654092339,49.25764767765042,53.21849278009344,54.101824056200385,50.729807102854465,54.44980026673468,57.51932907988615,57.08357661057954,59.23748646416895,54.042869892744896,57.85196727481218,60.36210743016159,55.94248982822537,55.038065122335645,59.78682482721485,59.382552093088314,54.671934013206005,55.15436303280018,52.99349891360217,53.56838026818956,51.95593420974884,48.851864871876636,44.445062853237474,41.90794139554995,37.944356015836675,35.676021778697496,33.86107827556014,34.54904442123736,37.81513273783568,41.54301229082362,42.28377247495598,48.26359980701123,48.561620987825044,51.59076762786349,51.52300588555668,52.894665603706585,52.11108490635496,52.136780382178905,50.51756815855603,51.446347816376374,47.958855730909626,46.56486378523293,47.475496257463654,48.424706044648104,46.706062408807774,49.414884413228734,45.95653930161618,47.54663248314614,44.19562548343725,42.82666463408333,38.475407919117,37.65354900463227,33.734656860411754,38.150869071034144,36.473754474168985,38.75273502410058,41.010366266380316,41.61259170041151,43.220474670987024,42.588353275726675,45.94231117559838,41.696231430343886,44.61719976953205,43.86859131803439,39.9537818401734,39.397867655642386,34.94100156390266,34.49870359306183,30.580278372394552,30.585185792604218,29.390082234013132,28.592314423831645,31.125881060896162,30.823808172329247,33.79609140394702,32.778037138055794,29.21043572995379,27.269788307808277,25.047764900125106,24.954941241647624,24.709999524596295,28.1095250587982,29.163252088369884,32.5600480035403,35.61500946965361,39.93162064507847,39.6196867517311,44.09611584357865,44.26855998212865,45.123009379536455,40.81037684117052,36.59386343742106,34.49469064782101,32.3986011542781,29.85450613639593,32.34656865550965,31.826987091937514,36.22564473326904,36.0676632820811,35.096040491918124,38.480484825896184,37.34567282423256,34.52870431782064,34.51435909286998,35.001675682479174,32.20472666428039,34.48627084346228,32.824641787736155,37.47345524731077,35.537482993764954,35.95431201655449,37.7077740718315,35.818700373895375,37.73014890379475,37.6535581253406,38.67487609716063,37.971962309323004,39.79401012477409,37.84390196509019,42.40627859031013,42.714786591285225,39.808407194184774,42.40555926399934,43.02672128017136,40.988716746656806,37.46138637081104,38.77989330731102,37.104055456584355,41.07252752131818,42.458409685714564,43.413198494703316,44.71271202899817,42.49631488446454,48.01196673411133,47.44089116300166,48.77222500595605,46.985402765475754,43.93425405008034,48.095449921393175,50.19865855611887,47.13141872537475,49.42309372472592,47.69886274872348,51.94394417360041,48.8819849438873,50.96543981847659,51.47024206715393,48.82959155473635,48.24847041298431,46.303395996949725,47.05589675882282,47.42516269568053,42.83702243449903,44.415127600419936,41.66556528484854,40.711796230090776,43.010607581087555,41.470224498003105,37.75136015042405,38.20668754270346,40.57199928505653,36.46161061982742,33.00479333565366,36.81641045985507,38.31366741677356,32.13341420568624,32.505706757510325,35.12630823993866,32.30058412696412,28.685164842108982,31.960637488940357,32.51846247543617,36.97746740991677,37.65529760596652,38.766449571687666,41.59049079215494,46.61012524971021,49.23475349763477,51.743483492079996,52.45887388313677,51.958228871544904,54.77435047001437,52.6430118738723,56.60381571079058,55.15011220596067,49.26673462813733,52.03909628027575,55.012380500309234,50.677846250163114,48.822710636768576,52.281779322162265,51.88607824672354,47.5332323333317,46.98353875553401,44.01375380030204,46.67343023366772,49.6990386558321,48.54065652572303,50.73071148536494,52.398764916809064,49.85196442234154,46.65723232455997,47.583731902856826,48.00363100530011,43.47616248929099,42.220025876474104,43.40901801751213,40.980329265695744,38.31087375079001,42.5795334390883,42.10357029729496,37.26664143830019,39.16084844229836,43.04234338547904,42.61023505016681,46.014198417993185,45.6979549548597,49.33864821734706,47.20032435196784,42.159061652024754,46.21499687631445,47.15985948091722,43.68939960728712,43.06139805052276,48.70297319073353,46.56530521729765,41.699314572018395,44.80023436321982,48.853856402168915,46.15614373137488,42.302524319320334,37.50852041988381,40.12588907157583,35.78317449643119,36.530047151855086,31.58551235289213,32.76272607985479,28.66259285926269,27.295832151527996,29.854398287313618,32.5474245718898,34.06885126117857,36.24037473476969,33.007043446486115,36.50244624987229,32.38050106484827,31.59120356945963,35.762090792731556,37.36922764591672,36.18190192760345,32.11597218549719,32.23143860951646,33.34979708232882,29.989674094269287,26.955784372066518,30.439095476766944,30.98921665474765,32.047147909986926,33.187279364201935,33.07061752555046],[20.826689447836532,20.44265285965471,22.379889875511036,17.213539643327156,21.541348163723722,20.817637530150215,21.651411947297696,25.34917059247501,22.728314553448197,22.991974242742568,24.758776227404034,28.270919288746946,28.062846576437007,24.557227285391175,29.367019685069945,31.663870883930677,29.74347668303255,33.204418049982316,34.05442647915484,37.63996717029784,39.96560249123621,43.99374267816989,43.9965866912467,42.638899981303716,40.79979944961819,36.615082654921345,35.6913606831422,32.35156590762503,33.927822100553584,34.60632866760863,36.342399272226395,37.37189350521591,40.40990855886506,43.585098836918185,41.8148015659484,39.55625679319771,39.6843154172127,39.36624009302967,38.87153113910776,44.768751611661216,40.58086636925356,41.46535778328621,46.09796852733106,46.01682348342294,45.96113510829628,44.81283097488375,48.80826939243319,49.80075460944553,46.24076300996898,49.792319201971765,53.012346892736794,52.53392704874339,54.87003848401885,49.69388539117032,53.71227620761121,56.27678103821392,51.927471832844084,51.21860358418253,56.02739041676466,55.53352129658542,51.0246995698732,51.86179675788817,49.922077228026446,50.565315307496334,48.63928081890438,45.47164295316925,41.423169407174136,38.94705780978894,35.19402015387565,33.18098050663966,31.46645821800823,32.68519010862438,35.765337920095355,39.23114487865101,39.7723784170158,45.868905400106804,45.64210396636312,48.82258078199263,48.37599090259472,49.44254085281524,48.450006806486854,48.121509085526775,46.498501470033034,47.12045402560273,43.54778889546076,42.4690299410189,43.61593528474434,44.8128418455634,43.335681672380076,46.459691516747704,43.229340271249654,45.26156759618362,41.994108628661586,40.606743544121706,36.09535058077086,35.77150067720741,31.6644207374717,35.69231521514478,33.82769748243786,36.218551142203374,37.933457465609266,38.21980416916329,39.53882280114978,38.63092041178736,41.56608637701931,37.27507294440034,40.1357976710422,39.147622189410534,35.28484512930974,34.98123790767027,30.510609732727175,29.981618632501625,26.310568670549575,26.052258399027462,25.24578289293529,24.229449783239108,27.093021979183032,26.642761279306285,30.225251619185418,29.35229550716733,25.789453017446228,23.706992009914032,20.93872229413072,20.644305848952143,20.355270812834632,23.286116154430594,24.591422570812234,27.746559503650133,30.767637355225695,35.10662583133573,34.58070690483552,39.09769999657059,39.14983408538794,40.19267255892357,35.727317822874355,31.585418936830283,29.30943305026329,27.269927814003054,24.794178042643235,27.48459642399233,27.15013062298333,31.705119186379264,31.722977792511106,30.58600753499233,34.058422895995434,33.16724298009797,30.220544901427093,30.386459149093966,30.791529480918857,28.289661329034182,30.626915838132334,29.561189678089267,34.33488183116494,33.114913840241535,33.505364898792664,34.746966024515515,32.5736565621137,34.09257920664986,33.952187610458694,34.462717039896276,33.42688919513256,35.490103108816456,33.1879510854266,37.84192737302392,37.83777585326131,34.836337280102484,37.274978926454565,37.85804271498692,35.73487507170981,32.25505776486228,33.59104691792081,32.06397572889913,36.165998885965244,37.722032739886814,38.912295276244556,40.39282106079528,38.47772007269614,43.96919955506586,43.116343540894434,44.32430665501452,42.27003139270565,39.25412073369728,43.19906379966323,45.200286752853344,42.13907849318062,44.5785777106221,43.052230061999495,47.171747184225204,44.06995830736759,45.98561671997599,46.3660259790238,43.75002997936881,43.046995674815555,41.08048502701402,41.8377148901836,42.21448794719866,37.66306056864442,39.362219117063574,36.72419364249381,35.926875707891995,38.40458624031091,37.08024038427355,33.23134144997009,33.68651195028415,36.349015205343036,32.3730735624844,28.65809397245452,32.74524216251654,34.64871403255615,28.43971021853447,28.8648361733413,31.839916668887145,29.228406997000295,25.51264020962306,28.99015572774568,29.105392583549342,33.91855377558486,33.975554862303156,34.95999673447166,38.05468144257566,42.86858087124809,45.84798846425036,48.03131794123709,48.65094980327812,47.884742842687196,50.60169492397541,48.345887305301055,52.161860998121234,50.76648027126382,44.7989812137145,47.43091789060293,50.32450514288474,46.010797180349435,44.04300192944817,47.38201547255224,47.008061697874105,42.6794681402612,41.93060187967085,39.1680841713938,41.85339968400656,44.98014449395105,44.10102721119602,46.356064236553685,48.33273722640071,45.712277978766146,42.386310213147155,43.60209954743166,44.26283295705501,39.60210424918441,38.375776445533525,39.99232862707686,37.731634490328,34.88470578796609,39.29500936258282,39.193648958909066,34.48021412947968,36.15050203438399,40.084645772784725,39.31267135049321,42.510734956952355,41.89094694013576,45.42759910272247,43.530259680861434,38.26826026454834,42.05860009108462,43.1109217421805,39.68483962262731,38.682343112035205,44.357275509081205,42.38933788436686,37.35120687838076,40.17898836246561,44.37939108045507,41.839912522945134,37.89679910727427,33.13076459253765,35.90270987450873,31.666157417724072,32.72817020667384,27.590194099928276,28.640247275269186,24.61651709719794,23.0926210052515,25.34644485581436,27.978629603477057,29.267991943011094,31.551330967032523,28.175586875652066,31.64414006234513,27.539423183654065,27.14604130800306,31.54525259098628,33.43245758621505,32.47357236677328,28.109233087167024,28.51215512015777,30.092294661520345,26.530556000539924,23.48525669288424,27.415714524825788,28.50401419837579,29.662203080857733,30.769650302399516,30.811188057410682],[23.41185199890926,22.820774477453444,24.624580639391475,19.528086121284893,23.7731371806532,24.144588099261064,25.123156305990417,29.111452146000744,26.842528357437686,26.925873737629534,28.91777209040499,32.52694890040751,31.882243218834834,28.400825373207205,33.277596553202706,35.46287155057212,33.13534369067964,36.44831104552154,36.78480941128606,40.4015687680159,42.4592151170688,46.345538241875815,46.109931472438554,44.41427818153859,42.78990458539056,38.783705827519455,38.068798575189376,35.04139464698645,37.05168361859324,38.07200894110584,40.05004667178933,41.19697933403937,44.4020949310605,47.40046239608321,45.44542526061164,42.92464859063957,43.097615211696166,42.280678084661524,41.4747445531761,47.19310164227577,42.6751832278461,43.82416435220172,48.43424805283666,47.98899788904357,47.58363325822505,46.21363744873108,50.08317941738861,51.470146552089,48.04515053237055,51.248352520328616,54.79607536356151,54.51834914654689,57.02588336167829,51.950439762672865,56.30849831896349,58.669431594282045,54.24504631008487,53.924422151067574,58.70662222390383,57.84798167739031,53.50148373304826,54.62737461956626,52.93068595988684,53.276443788302814,51.17928056669295,48.23388748486197,44.17198449595798,42.031749754875385,38.13256464052266,36.518675365737316,34.58993653726356,35.77179750650532,39.08327571701592,42.26003012996393,43.12232374208714,49.184822170157005,48.83472730422413,52.24208173715866,51.65739009063533,52.501450183402355,51.60703990072173,50.97911160964289,49.58856462543734,49.86991582305611,46.1172272118754,45.39909057289606,46.525432543380326,48.10924655483094,46.53583103879616,50.0164823401459,46.7806178211269,48.881926859069786,45.77940976413221,44.577673021939276,40.08846758538283,39.92428934820686,35.8313065278856,39.86341367716055,38.03091231038455,40.52583569157207,41.93604445192624,42.087691285565604,43.15745584542283,42.06321350663342,44.536797650004424,40.20172052210873,42.87272178812719,41.50257723019561,37.64303770096004,37.80171943452992,33.34706690560224,32.86880808977396,29.555935430324283,28.92819101603138,28.40750602242047,26.912322665223954,29.81881696131463,28.802168057104485,32.54356134395682,32.269973299563524,28.664495791327774,26.871621146137798,23.59375942769859,23.566189065414225,23.549323862559078,25.785921048348886,27.412131220909984,30.17789800644882,33.01060450748993,37.422412564864324,36.301366699799885,40.86977661775805,40.71630763975597,42.27148281608424,37.45578476072216,33.5507052312563,30.717533014831535,28.794623828336245,26.24936185252592,29.307644107915205,28.45189007699666,32.974207353742656,33.594305031087224,32.67297941787298,36.28448319684192,35.91234612428523,32.958000906862324,33.53604847733852,33.99707200058368,31.844535124586162,34.19010094031833,33.54474358180982,38.30978233339792,37.36761143445288,37.84461905576598,38.87656600814811,36.56209129532622,37.81915462591135,37.58931018497868,37.673941283898436,36.17033507592514,38.33441473588647,35.434917516319324,40.174511541003795,39.575655854910934,36.13672947571949,38.43347272541268,38.49781146013453,36.34401822905766,33.13318278456343,34.80934235886785,33.700991773640794,38.141955028077,40.070036456911936,41.606991553771145,43.38383021277154,41.738737269313404,47.20674993944726,45.97909086712775,47.11563093682497,44.61216395875422,41.80619902338836,45.313151000218994,47.03198027489517,43.93455020822902,46.434245074744794,45.07716357914165,48.870369413651844,45.31769705984089,47.22288174203557,47.3204948381268,45.04130181958739,44.11382819219649,42.197838987862895,42.98565402383705,43.212046978776826,38.765033576067594,40.64844327125664,37.97169616209101,37.725942372627706,40.04433150981515,39.20325363943981,35.32506368404118,35.21765289539446,38.111136969769554,34.49040989352906,30.15126486883434,34.163175489971124,36.64357725236424,30.412048050542538,30.338089931318798,33.43584930484077,31.344880501908573,27.218595027512286,30.152093049000836,29.97784021915063,34.95472274116064,34.19618066200998,35.71931480077171,38.96879799612499,43.62266161166009,46.54341075652455,48.762311261286705,49.83504149084273,49.13787912085217,52.01023517004354,50.02120690887054,53.57130568423236,51.858467456211415,46.0459317583797,48.80606001484115,51.267924917498824,46.77667132141913,45.04956498868957,48.3919667940872,47.453916901494544,43.09356393004183,42.73665777968664,40.219861529256804,43.479664596617454,46.603953669192045,45.95372911493194,48.51872135577221,50.63852045982825,48.26893991388228,44.78786898314129,45.89160706310949,46.93781357201263,42.34547336773337,40.77610123132304,42.63637923035971,40.58461980358154,37.41208010397366,41.614699791608324,41.7648022609279,37.095234514337236,38.258579394917426,42.103573688191034,41.09101008792812,44.36410580150679,43.85566246301268,47.112417411819926,44.97603609196802,39.7662192350009,43.49964374446901,44.15181797152692,40.64153954163765,39.68846603179803,45.10893323012889,42.74479638996739,37.7819564253783,40.673566995925924,44.56993666742066,41.688708376959056,37.76884629032897,33.07550188023744,35.21185279860949,30.875683422487107,32.34363497731143,27.500725485694907,29.254213566108426,25.780050637595412,23.42984943143774,25.6763033698041,27.808440181839853,29.47097261158256,32.30840532298509,29.507789888476143,33.26538550380631,29.548373977587666,29.416050332249206,34.242966865907796,36.15846420571814,35.69569256211919,31.08965995801448,31.247491684287272,33.26245228587724,30.00256753392262,26.518567873682148,30.291005106160338,31.62625402141561,32.69371840305968,33.5793042115407,33.385748468338335],[20.765866327994065,19.917509422263173,21.63076632754426,16.877612972109134,21.33877337137378,22.396974122280174,23.887908844619496,28.063636997847077,26.468965709644845,27.00629381920621,29.401619275950868,32.745248937446846,32.06192945141742,29.100028969731326,34.17060026149678,36.05600391622173,33.70459981746983,37.33532851240493,37.90528082809912,41.1789460341814,43.475294948131484,47.134176914797976,47.133070519640206,45.372273581697236,43.46238940860743,39.601889218002086,38.509954418424904,35.458752488497076,37.50332488848899,38.31333506112566,40.95339092858744,41.54063697319614,44.975674255337765,48.151828089070584,45.926692951609105,43.471957605138876,43.18353377743471,42.4625257626471,41.44820610044393,46.89719762081514,42.593798520821345,44.1950433390261,48.732951396189925,48.18724655121961,47.861943817924875,46.185958569755705,50.09028277244172,51.54107326251364,47.80108258019896,50.787538906342476,54.46146238372259,54.01405282226625,56.74289169893055,51.68594967914339,56.134647694334284,58.70338163133418,54.46217432945827,54.19733150654176,59.041720537117435,58.26957571211883,54.13756544872263,55.51988012467966,53.934523294398716,54.509399896893676,52.186292007209936,49.088472482311076,45.45056739106554,43.21551715486258,39.642640137165046,38.0467812781588,36.35389168153279,37.92020847991711,40.94222541885499,44.044855020495724,44.544383882117764,50.66864917577211,49.913537476211175,53.27423697395718,52.39109070973571,53.029849070787336,51.760632061623106,50.847762464290476,49.18604769600891,49.22239850039397,45.544784597752475,45.11992401203509,46.667876766537994,48.23120253937511,47.12093091530361,50.736555368410905,47.79573823018503,50.2378792515989,47.089059243191315,45.68045113961497,41.066610636205915,41.15558325096596,36.939675249645155,40.46013668880723,38.29988333864116,40.415459832155435,41.82231756285524,41.3601337968727,42.59202757113034,40.930688715773485,43.12801465548805,38.55941659369615,40.83506625951715,39.26119584757808,35.26181196725022,35.76985364431524,31.349891641749004,31.37972887057072,28.4231872332258,28.01212377044642,28.211317557146163,26.833213255663967,30.168875929879842,29.240878450932943,33.60245138197676,33.228042987455325,29.738587661790095,27.66219164754205,24.09787898638746,23.54135237609453,23.001125565359963,24.576367881906286,25.668086862431796,28.375376418705038,30.868002557719233,35.47568795659169,33.89870231236209,38.4156999744062,38.50382422722313,40.32195578272822,35.55191542729822,31.884952185828492,28.569546943629103,27.2964515863589,25.200494547139773,28.594800945578864,28.309283346726243,33.01399403284558,33.77577461802319,32.51101894611786,36.13615449982898,35.845964556844834,32.72523114981268,33.170579749043085,33.21861597004692,31.10816760743923,33.01882062444565,32.72520168285471,37.27792642563428,36.56530515032266,37.45818616126519,38.335400788361085,36.147865928054216,36.948282855348516,37.10552984795645,36.58164740393517,35.160018045076804,37.84473816341241,34.790610688746206,39.5777880297509,38.619666420745,35.19296497185535,36.994458586726246,37.03566676028949,34.50665550479405,31.547517554902516,33.1065619802784,32.41051402308532,36.92850619376874,38.94622939089663,40.70160087185173,42.42053173068289,41.19260935776585,46.487754221153565,45.23428535935428,46.06160210925127,43.47439351139252,40.35349816961005,43.67999792035392,45.375512824352825,42.45532829976452,45.4006544326428,44.44443760846431,48.09770884127609,44.660472888650624,46.14384248816526,45.96059123485402,43.637716489095375,42.308192903621325,40.159678929804905,40.690959053598604,40.58630446840215,36.08041336000352,37.772299094572,34.8594036148704,34.84513945361674,36.83188581882386,36.218909704393795,32.42995257277042,31.878749314028845,34.754930158345836,31.35582856977611,26.71587800974848,30.56383124796088,33.303609238479666,27.10776495951096,26.72695321011758,29.86639743766137,28.12402954351731,23.785332761134686,26.431668964362462,26.0880698964614,31.13039728919096,30.072945615113987,31.767717704503568,35.048737568829765,39.64262673063046,42.53519675461547,44.76503835303559,46.01981936229156,45.410668883643794,48.38896273723155,46.6136776208656,50.07609605901578,48.16604983858911,42.48236611837854,45.404926462817066,47.69717794495177,43.118209628388044,41.59375252137054,45.06792688912636,43.87526594249435,39.48270141789419,39.536491181471916,36.86238222300249,40.4857503336883,43.4810290117111,42.76545908506846,45.5465371898714,47.60131557593222,45.52664192072066,41.98077319396066,42.81247154793009,44.1181683083184,39.66218262523882,37.75840459849274,39.72693290923519,37.85456935898824,34.435838795772945,38.44329451249412,38.786148541655365,34.197544914539534,34.972488660302126,38.742887251334686,37.574435732109485,40.8826257707738,40.486783798763554,43.57896142514369,41.28024429933678,36.1448999429117,39.9060426076651,40.33130250950556,36.78363216035036,35.97432799412342,41.26899534995745,38.72512559204664,33.84768215490884,36.89812625680832,40.630864864923275,37.62115083712517,33.74580188917589,29.055679925259856,31.08920043315238,26.71019804687796,28.125577604998323,23.36400345640157,25.33060795251119,22.100922166616726,19.477856484151875,21.830523381959004,23.889890739448667,25.79204037732008,28.692916298574765,26.336575728483187,30.330668635258164,26.997222160017017,26.65240478363638,31.75105978207096,33.51233556508567,33.5453398205636,28.813793256937487,28.562858332818855,30.91440913127679,28.13078786484289,24.13884158595935,27.67307739191916,29.26451769880012,30.275239704098688,31.00209624389561,30.718466533228707],[20.383016924385895,18.832193456355675,19.565233447802,14.28632808835363,17.897373860755014,19.73217351551756,20.810048811146416,25.196195842773818,23.908553015945692,24.05950317432041,26.779264776078676,30.192068659916625,28.890176452314467,26.157485762804672,31.308202999086024,32.92175886809163,30.24194052082492,33.882316058228426,34.32818223298892,37.39550514205692,39.7127144289856,43.189649788938354,43.264833806331715,41.429318381413125,39.4027348264275,35.67179428923678,34.45867203704267,31.528743000129797,33.78104368225565,34.747769708434696,37.81927074797851,38.301317014821436,41.96561257343069,44.995488851291285,42.50991419064755,39.89359135923789,39.50330247351563,38.50179957031636,37.29938461973229,42.603162345296845,38.26999371063902,40.07877072002025,44.565618883120464,43.909590295592565,43.574100552719514,41.78436068564808,45.693368104316356,47.17539833862071,43.37078890544376,46.27397412368238,49.99820112827158,49.5564212595961,52.35297669085024,47.33453620761905,51.899479790103065,54.44386381320628,50.245670600443724,50.123608813994736,54.965690728503134,54.11696519031014,50.127657898053,51.72447139824652,50.30847693220641,50.89297501036941,48.38843865381491,45.29838846914265,41.923422610730995,39.79309601046625,36.40464811528612,35.061149087862205,33.452842503430915,35.351148597356776,38.19420144550613,41.03271184492903,41.42750233202541,47.53686858812851,46.44483820222476,49.903129922089114,48.78478111559452,49.209084771663555,47.87858042022656,46.74740340385796,45.18953248097367,45.02602874938628,41.27882349245265,41.056488964201165,42.67145211322327,44.44580699237874,43.428266046720914,47.32383660046366,44.5408471230796,47.23689542421087,44.223411429774586,42.8875739160115,38.26569377966875,38.71899528409803,34.48754360411624,37.73616847188152,35.57818114015668,37.90575403423005,38.74742478817516,38.234840972925284,39.081491142023616,37.40317492506807,39.248344837870334,34.79559882574224,37.15833918830348,35.43116647308609,31.601924396271425,32.23231105014609,27.86261381696488,27.57267095347206,24.854408358039255,24.05863733065129,24.455286115440583,22.837876283146606,26.28444060042769,25.210315407951597,29.89761355399182,29.68390415913948,26.29477823774519,24.24698716725002,20.354818236541334,19.7551660682872,19.370307424328292,20.473081773706426,22.058772325173663,24.400051720361468,26.94521065868101,31.433118438790025,29.827640417221303,34.388531489053015,34.23442103126302,36.12057030832356,31.20223139220052,27.554782137104052,24.248693849270964,22.806424065163316,20.680513983645714,24.15362901241656,23.92992994228728,28.67274227836133,29.536880836559593,28.213956345085638,31.85811325568101,31.7838749916323,28.652374083684027,29.32409295001632,29.435279602160357,27.69865486807161,29.789355726336815,30.001433223212018,34.64684905357338,34.587375108903416,35.232365993430385,35.637934295620184,33.164604358225425,33.7271171409182,33.654402471330435,32.845913086112326,31.05432237736189,33.756106782690416,30.442586553575218,35.2414277762057,34.10765578664591,30.62738881380125,32.42508203516087,32.47251347932968,29.991422357379218,26.980959835357652,28.583387207465595,27.900828496481193,32.48827703463467,34.62669208727802,36.52019148334081,38.42320838550104,37.35722211854678,42.618814607263936,41.11464352723242,41.93090357215347,39.13724143104936,36.20536955738031,39.35719175681579,40.956025751895694,37.98940862573532,40.89761710824033,39.99717471400896,43.56933127747552,40.11224075941021,41.559908820725866,41.37971119576115,39.073060908879924,37.79403834582075,35.71745670692201,36.36067829076035,36.42309399739773,31.98554927120986,33.90148345512624,31.256199991737603,31.3008145630322,33.66579355578295,33.1857062076963,29.242883841058838,28.939239391887167,32.15524920948386,28.846937282222477,24.132219303714564,28.364216072174752,31.396283087084353,25.29142475621734,25.171628336845654,28.652540447992372,27.003787025961103,22.82968622226671,25.82837277094574,25.036619392425564,30.358058242538736,28.767967149838096,30.128534632077933,33.676590644898965,38.011055106760686,41.33802807367034,43.13783114116782,44.11508440893024,43.1366486029387,45.90424868999187,43.851752224603125,47.19565030958705,45.50282937339749,39.66103393213157,42.3033292918563,44.62078928086412,40.145346433317336,38.35944319550114,41.61137327475228,40.63490111816854,36.29420209295654,35.85588990214846,33.50794652315531,36.92303035404917,40.09057126738266,39.730280943951925,42.43350683922781,44.85465613653156,42.54051633649276,38.919869716376255,40.23067518283387,41.63915235676276,37.0120928609986,35.36462727273465,37.732343271972844,35.97878058261928,32.57044687439042,36.787323593096275,37.435219387184574,33.04029795401791,33.78424290167341,37.59526859516729,36.1512205971708,39.1411201921736,38.31750254252633,41.36631352945234,39.49078527248283,34.09950769516378,37.483290529025126,38.19601011663484,34.76338415693913,33.40538860171757,38.800165020011164,36.622207364739154,31.49950854333565,34.090763667461886,38.11380680469216,35.42827160626876,31.4232988937536,26.78628694015851,29.136697893494752,24.970356119119295,26.79717011133743,21.768903196241652,23.363952343702977,20.173503511183558,17.5417913096678,19.329485388849562,21.33481081045465,22.747692970419386,25.734796990230578,22.969170362856143,26.766409208149803,23.32302910401845,23.60676043594074,28.743649396869404,30.881052770649656,30.925998670046454,26.033327244361644,26.340576810837593,28.98905614994,25.836800936366107,22.24801964384191,26.282698363126094,28.28990761429528,29.423098509583735,30.19508481968572,30.171882952748227],[22.308093771275637,21.106564346953927,22.046393018386716,16.436916299924267,19.87129174544934,20.65983808312856,21.135682263834934,25.27828065925672,23.176702391509878,22.833310031461625,25.115694232688316,28.837789855927003,27.611919157534867,24.280950998922112,29.272657527337984,31.23035682866937,28.610048765314023,31.964313624247072,32.25331137099122,35.70374738700708,37.833657804459634,41.598434768492275,41.47414290290517,39.76504995206273,37.985855391900806,34.03657517240326,33.18081714558842,30.19479998179452,32.3495761698555,33.494933098627406,35.84615765095118,36.905343496119066,40.32346752596069,43.20422792741247,41.016021039309514,38.35803899262582,38.45218933806871,37.42986364318563,36.50708517833414,42.16035468052891,37.64467954087731,38.915364601136446,43.50555911776154,43.02836995916661,42.677282147430084,41.261326198729115,45.16961152924481,46.50482185906664,43.003389320280924,46.2212004973744,49.749187497418255,49.44544203436216,51.97440349532879,46.90419456914673,51.316265233811315,53.68653033165294,49.297701326786225,49.04045913251175,53.83703376508315,52.966920731385066,48.70505589809092,49.986509715339785,48.40649098772796,48.81064231018613,46.559111345107425,43.57150628949574,39.738826081955835,37.63565254161207,33.90912299847112,32.47558726274764,30.645396965816364,32.19352492970247,35.309100534104054,38.28439439121143,38.99540500281989,45.08468849311984,44.416378633962864,47.90171463872832,47.109458656472235,47.78838268306438,46.83101360360393,46.0551665927644,44.740831520041624,44.906499516942304,41.10459669018253,40.492618219354384,41.66163622251601,43.39536131141681,41.89868718108703,45.61241938850572,42.51259205792596,44.86548892634811,41.86315892523077,40.70717690381841,36.18448871099359,36.37032592364448,32.23459800547665,36.03076153676649,34.2043951327917,36.93864380271823,37.819204020233286,37.98814054450496,38.700291503624,37.669384754332626,39.90729173040475,35.71498169637234,38.54783278691618,37.12435231037448,33.44907587509346,33.59744775525045,29.18945450624042,28.325784210201903,25.124573170664966,24.147842438775413,23.65810341457782,21.976807208075368,24.96545063601242,23.88745536656079,27.917344321387493,27.701147375242247,24.147402059020752,22.331371825890376,18.776596644823705,18.7419822575269,18.927013649770693,20.96860731270989,23.1099273690895,25.60585557764811,28.570135559584013,32.818845513586254,31.85112381463253,36.443242322271274,36.07341348787312,37.55624565423688,32.67145355984032,28.70763811713729,26.083713383779642,23.863564286080493,21.213902672430205,24.22748540244512,23.451454411598064,28.034762564855576,28.61377149900483,27.62245968307789,31.24687694109412,30.9774775026479,28.015069632117402,28.76190707521399,29.329643876081946,27.476289726476967,30.058638780661493,29.815855494530886,34.70878179779033,34.36929255451778,34.554042757087956,35.14642671188256,32.54262304264083,33.64736902516826,33.16234204584141,33.09963399600968,31.303974368653897,33.41225925024716,30.378943085061263,35.12480994962275,34.51160194866804,31.109340438651923,33.500059416033686,33.68828640583841,31.64089481265107,28.289072328185355,29.94555822088431,28.699046036050234,33.12911154882106,35.09222756668118,36.67580541460922,38.588605561392036,37.0111036765644,42.480562014414964,41.07063071734597,42.23902845490196,39.62439974633995,36.99441126516584,40.43689394035342,42.12068807905655,38.96851197626087,41.37527886339871,39.997041956891884,43.79758660073743,40.30522493137576,42.220066295530025,42.41103638681043,40.07828244784597,39.291606344508935,37.46246478008352,38.37737151500342,38.82795443947882,34.4431773802064,36.514044023842686,34.13398234167079,33.80688242338318,36.53750315628565,35.70859456035128,31.694132115585028,31.974655834095202,35.13005160684782,31.517048269571287,27.27487942941267,31.65117364108468,34.2698365616887,28.13235279383028,28.413381811500116,31.79986610937508,29.68235128536791,25.784500944168002,29.160505934640753,28.6405627642168,33.84540801950721,32.769057371240926,33.8708758279447,37.3315348383739,41.773353180080946,45.11146137135405,46.91777641589944,47.62938318808776,46.56477377278189,49.195966283350025,46.880001710876314,50.3694768446674,48.94052336447677,42.95291075108355,45.40346471143946,47.98165463429659,43.642877504112626,41.61126410702133,44.72259705498673,44.12709696536263,39.83962254432767,38.90481128632425,36.66953274020634,39.56700311487627,42.86074010617331,42.510752183304234,44.91936617512789,47.36652960791661,44.70058885558884,41.18746943843415,42.79097712868199,43.84650223452596,39.06996097307474,37.837416671448054,40.02872972238267,38.045124379595656,34.95612297503655,39.407137163173246,39.79780480213533,35.30094583507685,36.5423064134331,40.447799275346355,39.22287722895124,42.17628408021231,41.23279940411174,44.506199877613604,42.82996316502968,37.37101213888648,40.75197140839762,41.76568420395958,38.38867808424459,36.909246255348506,42.46786085667859,40.5409603229599,35.34486718185649,37.77927944925694,42.005068506419065,39.51114561984947,35.47702183236322,30.83540642956274,33.38865835522549,29.277053561177414,31.025212738252215,25.89211636895363,27.154502671303963,23.598075984180824,21.44649046244731,23.186431782153644,25.368178082823103,26.482889041314348,29.251078194561998,25.93024771820449,29.39026798790528,25.462858305832924,25.890819448257055,30.627183399883773,32.90914031716299,32.324713499318214,27.620302262628865,28.396131523798566,30.592670264818626,26.878966638624668,23.90412874098491,28.202930649289573,29.883039106107603,31.07969426059788,32.04400913562063,32.130319856112735],[20.10041601613175,18.32317234750408,18.374704381019843,12.48207375047331,15.074988950617966,16.24433637623184,16.41208503893156,20.715310246869745,19.077396470714895,18.674251813914946,21.400480471591518,24.980219822905006,23.36744832324903,20.543651340974648,25.690089007518733,27.27993422033692,24.562817002417574,28.21277957140557,28.83536591080272,31.8937211804488,34.34519683778885,37.919889012190716,38.13650275430216,36.536115745813625,34.36222833291215,30.484884257053587,29.173727906571504,26.066617149195498,28.174346323235113,29.14690990923949,32.13225617459577,32.71863157849541,36.38116801599164,39.330915755204444,36.866778461985604,34.24550154803452,33.96992194948554,33.04373260470041,32.028285619892294,37.55365766317597,33.31299224761657,34.84856162188633,39.383469749688295,38.98346332147279,38.88720759886086,37.35037716220321,41.36961537151035,42.51611236083202,38.698894009701974,41.965755723223374,45.39961364795121,44.89127366823456,47.49213617016914,42.38730822957212,46.75238992789695,49.33781433389535,45.114873822764814,44.772933254100195,49.628279435309594,48.955206604696144,44.82341818201105,46.25337346397257,44.73229600149982,45.443802208347826,43.01627616069108,39.81632269288639,36.45068551124253,34.184297393385854,30.895332825936592,29.4693921826263,27.984096720373618,30.060912191503302,32.704978641793495,35.560518960923524,35.793024165099055,41.915624190271046,40.80718091339619,44.22275356230293,43.14532456352794,43.66144374535473,42.39126456647858,41.452185548810625,39.94093597891322,40.012620001172124,36.28125349691481,35.77496473115475,37.24565146218492,38.92847139109629,37.81522783798864,41.64776138069663,38.84616959621645,41.56870149008457,38.56888496285858,37.261267991784365,32.65483876649636,33.225372718557004,29.013786328267425,32.26041728625044,30.240195137072025,32.908484799485485,33.43742819152023,33.31753895168779,33.907640532686074,32.67730915878804,34.74878343432096,30.554033991430554,33.4101467518181,31.98879551852897,28.392142416615695,28.519111986030712,24.144670581685382,23.16604551555334,20.109991639547296,19.076084621656673,18.980316917340126,17.412035895674922,20.775933041987077,19.984890992411025,24.601820184520367,24.094408419133583,20.724827298569913,18.56856995891593,14.795244873295871,14.192485775154065,14.071615051684395,15.795926654502656,18.021758284034025,20.41307746720696,23.430573941381873,27.632142566644635,26.82867440740052,31.410433594233957,31.07358274638915,32.40496149784407,27.61927014352791,23.593396148493557,21.14716769066794,18.95972578006655,16.519120167404434,19.529011968340885,19.50477876978631,24.266918155559235,24.599656016588362,23.2073127673022,26.794591180496496,26.425791796103276,23.333852411349145,23.971810882469818,24.352207723532352,22.655539742881707,25.210890480221252,25.3937627248604,30.276585406621678,30.512621974290617,30.629444886340952,30.815442752089172,28.081934336874625,28.87925772165748,28.4270107653156,28.03960026632988,26.21709621451334,28.565616635124336,25.574937331278125,30.339110681497424,29.78292719847179,26.617991329717526,28.870491849205965,29.418792719536825,27.259132938647028,23.78270308366175,25.17818757051159,23.830435200579085,28.160460422438305,30.04242882132554,31.6500086543579,33.527155748973684,32.136213785886255,37.52958713056253,36.10622010648345,37.15996243135985,34.58752061956983,31.81876679470459,35.31846865567324,37.09670150432185,34.00015409476095,36.56646677380792,35.32535561006521,39.210046140675026,36.04260969992658,37.728099863559166,37.96627371622243,35.40043367176446,34.610567376500846,32.69807180747974,33.57088359356022,34.116912754346714,29.70534377825306,31.75629753484858,29.536411325397165,28.997164531272336,32.0080135541777,31.09324966978937,27.01203617643408,27.68261512654134,30.95406402003844,27.323394589581216,23.330810942482316,27.956137311937308,30.554371649291262,24.60127402662148,25.26956793261444,28.82330654849249,26.67030479549306,23.13500716844639,26.900580484405598,26.13864174717241,31.395108009630892,30.279025917152694,30.853063092569364,34.39818641539215,38.65998164694376,42.323199954844036,43.77119801482193,44.0813155225835,42.7288476425352,45.1345385545506,42.541615137666746,46.04106841243848,44.89493359679289,38.77093598553372,40.975594266316556,43.753566979111866,39.58983085453256,37.29501128317197,40.265954938562956,40.091549106098824,35.883022986643425,34.47534933952357,32.29407959312735,34.796768522183015,38.171418967325,37.949188988768846,40.196216822400096,42.83070749714321,39.95524227292872,36.443639445525854,38.39630163116697,39.427968577219325,34.54036110105564,33.58520571131536,36.01275399064629,34.104344191788144,31.12036754252115,35.74537096785938,36.33093209843555,32.047923612823745,33.35830490980131,37.275412033058934,35.90650917232257,38.55230741791026,37.251267415817296,40.56269052510029,39.30363252985062,33.68472056165955,36.777165408897254,38.15649211666051,34.93472290508489,33.05877951886381,38.75316805936008,37.29394440048951,31.95608559893863,34.02332385090005,38.55808850440524,36.49661788729261,32.42124679465536,27.85603612623549,30.95914669497872,27.147428231497166,28.880596605635507,23.53099572204641,24.103851505514502,20.418972579211143,18.77182498473365,20.02815903363933,22.413781460584207,22.933963479200454,25.367158908682057,21.51571665520292,24.670505012427284,20.538002995655393,21.306369440996352,25.905836661879427,28.440967771934204,27.798155302403774,23.0426780189708,24.307525647380494,26.653612600793668,22.66589589453396,20.14085880941036,24.82162037076946,26.827812088850635,28.143184633899917,29.189535013033986,29.587029778548633],[16.706582774449082,15.599673417018048,16.602907202804815,11.057922386330159,14.828689661427774,13.932520866411329,14.608596189496454,18.499594110001773,16.375969189968693,16.899822550532438,19.248555670238773,22.526146847058573,22.081865687163344,19.266471223427065,24.34364760229146,26.198745274085145,24.335366062291676,28.281576739713927,29.742683358008975,32.794200174934815,35.60927746098338,39.40446363673038,39.90145925382601,38.742272313086346,36.36229806440701,32.25673887078512,30.689985920919607,27.11422402638976,28.467319602233985,28.751887338631125,31.300379375674076,31.592695125878617,34.93255022489264,38.31104099671256,36.21102536717309,34.10113508685218,33.672932368974344,33.67797423877415,33.14430095311886,38.87708503756161,35.173723820257926,36.360375336934005,40.90468981607702,40.990027083475645,41.33030593652222,40.05624574352974,44.186625903511526,44.87587389101911,40.881322420386525,44.519068467551676,47.556712303796175,46.76006025471315,49.16956536498839,43.944900309068,47.820446184860444,50.727851754376026,46.634933578848965,45.73490129279447,50.62580781113733,50.471807581107214,46.12275469089716,47.10589914502563,45.19222560302609,46.314313328263836,44.18823634974502,40.69045914728727,37.27185144226332,34.49210906722338,31.35578817559788,29.229561502906265,28.029335040343966,29.958055120299722,32.36844411806203,35.7573084825471,35.57667564895976,41.7412817355775,40.95097549153368,43.97674661722192,43.172778250072284,44.0731061796852,42.60530652225578,42.12116951739767,40.12915884136483,40.70294995761564,37.30101839727233,36.28416140289493,37.88091363449079,38.880028748512615,37.98504149345178,41.164402989423785,38.3454869688482,40.872376718308736,37.539278351051315,35.858068189380276,31.180914008754442,31.320913718613895,27.04592915366209,30.317262567681293,28.09202619055293,30.273705389148073,31.72680201236129,31.55129119947231,32.90429316838848,31.670395920057796,34.55366707141271,30.191464020436275,33.048718276105845,32.16354529937067,28.328584202354186,27.89079873681845,23.424953329923387,22.936641564737847,19.300352371139123,19.31626139162476,19.01389558871557,18.446634452386522,21.784744370534558,21.9181081826576,26.169360626591093,24.740901643932276,21.43361130517914,18.773799975105266,15.984917124386925,14.76497588107035,13.720828024984208,16.59669224917979,17.506377194305124,20.813375952700063,23.867465704679777,28.185078475065758,27.962549315090286,32.410696081408055,32.65771716599784,33.403541670940875,29.230822585023905,25.025136779453216,23.066704115449742,21.258096313236003,19.2322882851864,21.780688741169485,22.57205132997351,27.278323824440623,26.869767500325874,25.15877786706418,28.504672014352487,27.315332870448035,24.19818479775521,23.995329230769975,24.028655568733583,21.48373914165421,23.65641401831667,22.948414031273412,27.734821151778775,27.126461549496884,27.537705289905105,28.366263492661275,26.12031708153401,27.283848740441712,27.356265700973463,27.519423677830684,26.717325728276183,29.14908065095316,27.123836973573397,31.74266195255714,31.927197750037063,29.37661006324405,31.56138270939429,32.67990703694888,30.38497906913395,26.80566969750518,27.688770964779057,26.024849753796698,29.855823591268074,31.186060060696335,32.31462488967045,33.612327283386385,31.907799378801457,37.286913093314666,36.55830942079971,37.58023914203523,35.72772647932959,32.39074594344969,36.51310080864053,38.705380231935614,35.78298790055479,38.4756599607328,37.14870297407759,41.407307324863176,38.840721462267496,40.398646635104235,40.84591487002767,37.883878484041745,37.15584369464989,35.0396334412835,35.66477261855087,36.09914420463709,31.494549772403428,33.029719468737774,30.514645704245492,29.328744662607246,32.06803334086249,30.51140295762619,26.617838995931653,27.60662344381084,30.295510064502746,26.188413264091682,22.920856997915067,27.27479707810457,29.00653874076904,22.963898032958557,23.958489061468633,27.11357751114442,24.32674239033516,21.09396278708884,25.198332626950545,25.088088697720995,29.9463505418485,30.138460701859476,30.398406585494044,33.552432322760886,38.20361839069614,41.56985881674027,43.33430589903612,43.408877581096775,42.31608275035047,44.75996875500094,42.15911673230542,46.05286650464896,45.023002781371076,38.887711639194194,41.248979578155385,44.456414708934965,40.376280731454116,38.100222715516914,41.31435803589112,41.51061643406221,37.28715292856466,36.016629089397,33.18665835601191,35.3275899103699,38.50235250443619,37.658071337694054,39.68529057539801,41.8080043867555,38.932177105469414,35.63509828435259,37.21018902381756,37.776542009482,32.97089800816745,32.087660607807535,33.92208915320759,31.69701843898711,28.996676218465254,33.67659693024736,33.767254448526415,29.262222269244855,31.111012194644818,35.10063137150982,34.19395432952734,37.036339712182915,35.9961446110609,39.6427576961937,38.25095065280532,32.79215410268436,36.298323105154545,37.836413716832034,34.59883692907489,33.18029665001903,39.053956679447424,37.68392862182063,32.49761495937659,34.941094070965256,39.517547178252975,37.531171344345495,33.5595835161865,28.872034924697267,32.39257463551594,28.51776005104908,29.436423307019194,24.001100738412724,24.09910861892228,19.75941394179545,19.06912385944157,20.847776271457487,23.849773004457564,24.444944981976057,26.15603987346407,22.128536928315285,25.21248077756341,20.832565143260112,20.544054231896297,24.707767874706786,26.825837763493315,25.716295596895435,21.297114046953833,22.235391665901712,23.91768440261036,19.955546467021932,17.392307235987207,21.890805182975008,23.380252221837704,24.737877097758865,26.01063981661219,26.499674543424245],[17.613669928033204,16.30241471210452,16.474754331083908,11.09669443137112,13.34609380021544,11.444289315458587,10.98030932770988,14.60436954516677,12.071629586305079,12.148827803445425,14.57172042335213,17.9489968158728,17.30853441717161,14.559454427943038,19.666374649382615,21.441263477592102,19.713418592440966,23.781986496367406,25.640831959173553,28.53135885437712,31.566312528134475,35.377699071100196,36.10475988536601,35.2352539468769,32.65336668476097,28.487109154206912,26.70748981714175,22.923500109573485,23.950126905843632,24.05146046402365,26.608842800421364,26.81480362702768,30.173696356059136,33.559167948205946,31.45811552866942,29.440674492138612,28.993872200572667,29.246178120594305,28.93963427878188,34.7871768129474,31.35861073075743,32.31268380731528,36.82812945578729,37.19958914260158,37.83953764515464,36.78697709568236,40.97388385620801,41.30110419850592,37.254575483049216,41.17894829981135,43.89294533765304,42.97370139733003,45.20432143672514,39.93611906403983,43.55035851313703,46.557664980415844,42.529863250253406,41.37417859846304,46.26357966349479,46.35212570833015,41.9300446068084,42.75679395972836,40.73673610445788,42.08144190951557,40.02496999857929,36.37369841948821,33.106345875097595,30.11579967907575,27.245241357689228,24.948425359246222,24.028038235068436,26.216687142726165,28.252655456963634,31.670284129604973,31.15772172994706,37.31790268255513,36.44213742516106,39.35258649202671,38.545945368584235,39.52596009458039,38.01197035555319,37.71076866666715,35.659444091892574,36.473088944613444,33.178747767579786,31.878026463537243,33.43244045249746,34.23579225304735,33.39226253909476,36.44569183645131,33.694313807531366,36.31185591128735,32.9547798326396,31.20645170766755,26.506383445394686,26.80368478792179,22.50892453878242,25.624694748764217,23.436726421376015,25.873144261675346,27.06167454813843,27.178040439965972,28.36667064857207,27.506442528817622,30.64319117952725,26.543055473559413,29.8018390624698,29.2578402042474,25.70118376187879,24.7479384266502,20.387562857606163,19.303814525126327,15.314469707212089,15.348049394576341,14.570843289928202,14.444938793166314,17.664299037605417,18.39020149104605,22.485306877920713,20.540489845239975,17.41289818176284,14.467517636698274,12.236118457541883,10.648340925658047,9.465448092503106,13.253933547257393,14.425610092610262,17.794368188355463,21.169866741371937,25.09998112591345,25.677889009671645,29.9981952346764,30.16337895518298,30.33829104048144,26.4833144477604,22.06314294330558,21.04306278249673,18.8038548580069,16.811530825144413,18.670230321749987,19.952333687991114,24.460263438862178,23.431922602777625,21.554555816272924,24.685720883930074,23.066933973867503,20.016057042934516,19.54955201855571,19.722337707018553,17.09411464297833,19.65155634614001,18.86784079128075,23.862896655726683,23.60338612950445,23.495138207492335,24.079400642718756,21.610571929919395,22.991754800691407,22.787492538728454,23.37856529409386,22.746459827426538,24.88498934711213,23.394058152416857,27.852081538233843,28.64351276153498,26.578930568122683,29.005804182301365,30.617570526176248,28.596867498632502,24.778733994540996,25.331852873381248,23.124309620068455,26.501480101077465,27.474015584259753,28.261371207706933,29.421650947062616,27.43399374168828,32.87704891899939,32.31784073272776,33.50257557499541,31.969048694982128,28.710902244108624,33.155976586575676,35.52756147116826,32.585819377142755,35.00843447359175,33.447133569807214,37.957319403661735,35.80551155269697,37.44889760608197,38.23820063713595,35.04155822038966,34.71015577693936,32.72851053643335,33.479250618969544,34.27740388294349,29.78921086219719,31.335788280647666,29.22922350584835,27.52631469613286,30.73974405604577,28.81545242842411,24.925585794751846,26.769501391235963,29.409323688653583,25.14895038738849,22.694202172209636,27.196600790769196,28.50656121915913,22.859430650654954,24.50047052592841,27.61107940326768,24.538484276793046,22.043795511139145,26.573719841541195,26.42384099871408,31.0817713563264,31.551999272717396,31.173545498523843,34.26068324486163,38.72084585547083,42.3306380252088,43.74804524994568,43.26159779339399,41.85427318148184,43.949149910606465,40.91993559607224,44.89292414622084,44.341741753232746,38.069079831322746,40.016693259782315,43.57256284702351,39.8211455594104,37.16454142630375,40.09535146905583,40.96644837499218,36.930961424070546,34.90595508548973,32.24495132609835,33.53530777521131,36.814216304385845,36.085983151907065,37.67272300990262,39.95022140963974,36.61247502293846,33.470480808651175,35.59526208266454,35.81682241245347,30.851627736019132,30.632842167896186,32.50225581594997,30.19559369725353,27.9557689883342,32.891949359980664,32.96164631243552,28.701939321777274,30.977536818762456,34.95603781634972,34.09968786533136,36.556506601635924,35.097755411086005,38.89596215110492,38.07716883571066,32.53680964427682,35.69287475206473,37.76923520905582,34.78453899812061,32.95361830105264,38.945330793094726,38.19796866479823,32.95464231648553,34.905653284914024,39.80200977607678,38.35829402241744,34.41685141433635,29.9209676441276,33.91714744995379,30.411100426778894,31.27744642001648,25.79259414407973,25.10956929544463,20.645921299436175,20.74497608288303,21.98117183333581,25.097791423435993,24.9876673190034,26.158621070924866,21.413935088644493,23.765730147809766,18.9551370162852,19.047405833922536,22.4625911729367,24.887894362781324,23.121976394141146,18.998588829942484,20.87472339380001,22.195833877813847,17.486762847388704,16.247485176323494,21.169185387359327,22.640344092929137,24.1063045800592,25.56096132518035,26.41849775946973],[13.560544156942619,12.687333548312136,13.584962609691695,9.093595483317891,12.453859322398163,8.97532422749252,9.860385466271769,13.095778815504836,10.98542467444685,12.812978548989031,15.084150309461299,17.614242911254962,18.182843246874473,16.201736644764686,21.047425749993373,22.69536918795164,21.767958299987402,26.13259037890708,28.678131457635274,31.226228192478455,34.58779544157911,38.30326145794697,39.346904891801245,38.70582269749937,35.86906774065951,31.76447785973591,29.609947491020712,25.633951539271262,26.107660503454362,25.468600053126067,28.14012364828551,27.59833178892035,30.78142742474984,34.61561308431781,32.64814015778551,31.155263421035272,30.20167267760417,31.26129344870815,31.137226806368623,36.78946989223084,33.9581222459492,35.016977390682946,39.39853108257466,40.00228525192106,40.95340744126277,39.846074968915275,44.07227126797456,44.174510899869226,39.83284208037748,43.776713188299254,46.3079331002396,45.078346254351935,47.32897887545635,42.052204174363105,45.34929198630069,48.711920979119284,44.955386024910226,43.46926218933676,48.36904531800571,48.87824774610825,44.518563344833325,45.20547089518801,43.01453888822274,44.780586284985574,42.81225282087711,38.91855746021485,35.97389656190894,32.63930260842534,30.18226258470894,27.481854418125284,26.95284430705369,29.155053948609993,30.796855830073245,34.45591020590237,33.427028973317846,39.51354757437223,38.61833631680212,41.142462499451135,40.3412903409631,41.44097132515071,39.50702329962451,39.32556527705176,36.70407274411991,37.68386896480344,34.75465217256474,33.34608941699227,35.32062318065357,35.56307204812039,35.28424222183284,37.865956832084535,35.38458416698538,38.034781499824255,34.44643885626813,32.265494172765635,27.54077870247558,27.639191905732577,23.347552413158745,25.913333888167553,23.275240934664154,24.769989222979355,26.861757607509606,26.307938171237808,28.363998022764086,26.949775578908252,30.509137369290013,26.079108427732432,28.9275462097676,28.66570642459946,24.793940281696827,23.667400451132096,19.296434900326734,19.244926889834918,15.240123072286192,16.51441185384534,16.430747735883106,17.189583350614566,20.559013097055693,21.85951407951175,26.00112966180986,23.51366003261977,20.698249101136888,17.43472745969039,15.809624381375171,13.523864833525158,11.112454468207064,14.67385703645613,13.94954051508715,18.003012453982098,20.98756876203214,25.151744327296402,25.768567738641007,29.895642881196334,30.732313032587573,30.69147049238718,27.3947828933466,23.143644970302557,22.03332502366158,20.729713024520528,19.470289874161555,21.321996377456802,23.449352205463725,27.94363782665832,26.680148087260612,24.410348799741023,27.29898102843554,25.24775467979882,22.149847331775316,20.915882995351637,20.341415356372153,17.049334858332568,18.630742331446957,17.299012089474328,21.90445518411707,20.974333982708817,21.64420132537564,22.748006548724103,20.97402351801801,22.203856487741106,22.92966691444339,23.381895735147673,23.734469056472,26.38669411849909,25.50268355617987,29.78733870892596,30.753100493405018,29.11029441746121,31.03414077945301,32.94296227115003,30.550880180163386,26.935861274427204,27.066775870667787,25.073123186909807,28.114659205977038,28.748183294765187,29.355305291078164,29.96916731818419,28.153280211587333,33.323505501302556,33.32014155670317,34.18200173621999,33.15524278878017,29.206078457550593,33.921547970868666,36.559406191914476,33.92988331462091,36.79745503777629,35.53677402284267,40.120139975668614,38.45756109281182,39.67072928827497,40.3522953974446,36.900345492494196,36.27150675879929,33.97147951602413,34.32214156118773,34.75294197307925,30.105306109754924,31.07832182700899,28.552789145523366,26.507844260916112,29.198058616032487,26.893929368502885,23.265207193600492,25.041073549993914,27.135116173990568,22.618942320872492,20.66519271110195,24.773952737644514,25.45587535727421,19.804142068817963,21.59265931267523,24.33957069221002,20.907969059285307,18.688251231463614,23.34629561382978,23.651319238062857,27.917622184253403,29.330843845634465,28.740056080169158,31.481357033408347,36.189170528845985,39.518889199483,41.1904059862428,40.619611114072114,39.49283461476817,41.689945279964824,38.81857644490044,43.052738109579074,42.45298056892959,36.28253830684729,38.478111863229586,42.248944631571874,38.514239724170665,36.03430145993794,39.25060011125488,40.216197106000706,36.16914762194767,34.57378557707728,31.28670721742256,32.56263404801847,35.55360944015569,34.241383873245994,35.81051895277469,37.58169999910988,34.48840383776951,31.484126999329575,33.04419698773445,33.05082802959108,28.265681072966576,27.8427827968531,29.24968330452301,26.776329841127712,24.615784781342196,29.475657347842798,29.233138537230158,24.82443520739137,27.347659881875945,31.336045702246754,30.7865870411778,33.42244297506576,32.26897818368647,36.241211080228815,35.20493807616965,29.872342966235543,33.38620733768024,35.442952868155594,32.44478852876473,31.09670846487668,37.11850077083614,36.34542747638774,31.324842011269276,33.65624045035958,38.44638223091469,37.00347766438628,33.21313800584595,28.69006716709549,32.92411558849417,29.4361578260664,29.617354461398403,24.218224895997846,23.183130281242395,18.388531857507324,19.259689471391948,20.860965007681084,24.35736487951369,24.407749129031398,24.99976212858493,20.472957462236483,22.91518286971272,18.289804837738004,17.204240900162905,20.400168684007724,22.277815993896795,20.486102296681654,16.588682624536112,17.78309631857005,18.70691401011649,14.408294312256544,12.691628373359348,17.309339256230803,18.505532813972625,20.010712909645946,21.6284510557225,22.607800940040732],[15.453272498079391,15.193640340562641,16.059132262860945,12.795458500676176,15.030784071463039,9.61147157246196,9.519394541960917,11.047139301331367,7.677889179574352,10.175798159438056,11.491985699127394,13.54482359568492,15.372847756624315,13.565185202352177,17.808294060670264,19.637582748096303,19.708735695572358,24.023877023723067,27.289202179963294,29.708382098035663,33.27591720403789,37.10724115642966,38.38687777637626,38.24355565720491,35.31860466092018,31.130870577590912,28.882300458456676,24.669628623671137,24.30402138167251,23.054941748933945,25.00927913578306,24.328127242851632,27.05598352389322,31.129683444909492,29.60519076648799,28.631044022422603,27.729501120452216,29.624425438920014,30.079766103029336,35.84536156676697,33.55974509372858,34.055354112649766,38.32155349619504,39.4422910597133,40.800061397299004,40.10849932732818,44.32954955950858,43.91550591822834,39.63566283523747,43.96408935601456,45.96342854289028,44.55669283209107,46.45188821614096,41.16896252262025,43.869172389718955,47.3839084975511,43.76285189477179,41.74033836343004,46.55576748023941,47.53825496849685,42.99431988223346,43.17838321604503,40.64380078418214,42.75076558166549,41.14150351677784,37.07342828476488,34.14978384264503,30.42827886855621,28.28241969360746,25.032076097742674,24.908897942878735,26.979126497565957,28.16126899984932,32.14399460615224,30.68574715532757,36.63017518941448,36.04771690167822,38.155004658823074,37.66739261199804,39.15156453792759,37.20588272237579,37.58673962934344,34.73622569534054,36.311479162363554,33.74624075663583,31.719297431690688,33.544758413099196,33.13275363762696,32.91263874330573,34.78546436470959,32.30558233367663,34.70759131931326,30.918230171527046,28.47030325644274,23.82897177740947,23.57006238571507,19.377862939495767,21.886595872967774,19.250491122718703,20.548419148488694,23.312900707547325,23.217417179010454,25.705576941338474,24.876185903609592,29.2511923155668,25.192071162036434,28.356623256552236,28.809624953350863,25.246274993502922,23.266265517019473,19.249233334280866,18.934981408613748,14.492924958766764,16.449571695113207,15.595822700314937,17.30943292498232,20.04064252923719,22.1683569108233,25.502441368924085,22.227906777698422,19.799463733548347,16.414430692600707,16.22929836174918,13.888694140939638,11.375791621132658,15.851496379621848,14.670870075965528,18.87038848384263,21.92100308654289,25.506292077474175,27.139091002159525,30.91160849199938,31.904080236145493,31.05292696115958,28.468414937443722,24.156713446691292,24.125147744587903,22.624368898512753,21.508034355358827,22.489341185613853,24.94550557466487,29.009712038064905,26.996852932994027,24.690773839554186,27.115602707375444,24.317283450270452,21.533967731729376,19.599349412407697,19.03733171805466,15.162549860906244,16.699397426670288,14.19346526183138,18.759719156838756,17.123568383283658,17.414228332034693,19.06220261479597,17.64368501386879,19.592565742640502,20.403564170115366,21.924234565295773,23.162874777607946,25.301416715325196,25.556473668884585,29.39466410284779,31.29233597663912,30.339723665383243,32.466781665325826,34.87747011956123,32.78230783036116,29.04786151703696,28.791248251294867,26.27959521787446,28.560937366001017,28.547734399229174,28.480227054775558,28.563540037637537,26.20718915596111,31.28758510016435,31.940102902713107,32.98152509965375,32.73724859614602,28.744715447108668,33.9648911698812,36.89545962101247,34.378861705991596,36.894372352496745,35.327557656977994,40.21811872214065,39.16022812892852,40.46849074212464,41.55039367505614,37.84807447876713,37.65130857290897,35.478340411528436,35.85457003858017,36.54804564262222,32.060300993767115,32.8008142826328,30.56230402179742,27.855814620582194,30.67419830837867,27.75948925151976,24.45203072514951,27.021982163271254,28.625747871168404,23.908057505656362,23.184284543941647,26.990982887388412,26.73166315168164,21.699857136017044,24.054092005639216,26.329388164070508,22.418701757735327,21.16079190626257,25.991772886044345,26.65750644811032,30.344695145653052,32.61866863418666,31.494326527009495,33.865223488300536,38.53154996999451,41.76254631090082,43.354039710378544,42.25004132393709,41.06981918025323,42.96995420259158,39.808699164839524,44.25595109597076,44.1134978775383,37.97001954970053,39.8692099842986,44.06431497678681,40.69786345225167,37.998458444306316,41.03432347587369,42.662260077910574,38.83004041361368,36.772881409478416,33.425411887074986,33.78983964873918,36.67213407477764,35.12867761688851,36.12219271539462,37.63478324678124,34.18900013596784,31.57988019753973,33.32222293504696,32.6485509790959,27.936840626866736,28.218300805013495,29.113365969050157,26.37393574829037,25.006580387155616,29.92288438611733,29.243663257961945,25.040501243566347,28.285903604377257,32.16627028914938,32.0323234469945,34.41659791752032,33.143928730387245,37.35288892057838,36.70707980574147,31.593876733349358,34.97475902011503,37.471311912773075,34.73477329323127,33.38717656263181,39.41464051781332,39.134699129802144,34.285866678404616,36.392080894623724,41.30463152893491,40.274806145012754,36.631082608662936,32.29727877007671,36.83751722435265,33.59541922347271,33.44452399488399,28.17183450637786,26.560917561636785,21.687710430763072,23.332816303387627,24.75471197207565,28.360361825665905,28.043225214403435,28.008083960573288,23.162434125995013,24.859450205862107,20.100850433263084,18.80604396797552,20.6879981962337,22.389312022467475,19.58047070625479,16.682923892080417,18.40488480907058,18.194159466132508,13.449952241947859,13.487765211706034,17.750572080077866,18.22019960630717,19.708887956598197,21.553307903374943,22.818823683502995],[12.360101247602744,12.414023867196837,13.590477242159507,11.681145265207178,14.208957851633912,8.001841052888631,9.299656791529067,10.308042448260819,8.408459761574159,12.24785597917799,13.694949974710816,14.69971555842206,17.116972080582343,16.29526122968492,20.233843999277692,21.657977580069055,22.09648912188822,26.589566466709705,30.180104766223135,32.195870163211914,35.97695205150943,39.57862999178689,41.109958353782176,41.02194144075321,37.86989909154389,33.84998771909982,31.2661366120808,27.05200857030444,26.477972056050778,24.751972238219036,27.16395797590117,25.69476382070227,28.393672326205554,32.73984616832273,31.149187960640802,30.52828686329604,29.064252115783287,31.41788911517642,31.82777024563752,37.24836357866063,35.42398476274001,36.225257037714286,40.32984764318936,41.49606402864608,43.03332953824723,42.158955061060155,46.38827906589973,45.8980049440937,41.334869342081994,45.53061564143129,47.47895605436527,45.822748611309876,47.83070300111066,42.59608975554511,45.14385219531631,48.94079035557675,45.59534357491898,43.450166195961124,48.25846201032051,49.50176021772944,45.15143819587809,45.40972640604855,42.885322142807766,45.29923391923285,43.62421151615211,39.40922049550489,36.92580269175357,33.07629857832865,31.34629950126267,28.050203825009763,28.21045601774731,30.42594431169957,31.276522886847363,35.213129717462984,33.35943552573692,39.175317988259806,38.35555088597803,40.20122493922878,39.54371286333433,40.94642612586137,38.57221015631763,38.8463579355521,35.53865900089387,37.05217289840721,34.778168175321895,32.89020971161715,35.17591079667338,34.44832549028863,34.831649038810596,36.50066913814086,34.40433824209537,36.98073663119471,33.133608674409935,30.389078103012487,25.81659945245235,25.635368020638328,21.579842613112017,23.23701998931764,20.17348650576553,20.421513309620046,23.74741493575482,22.72731106729492,25.89178044005442,24.32389628682198,28.781503993788156,24.425888777182845,27.06020435868641,27.647945643247247,23.859451858980286,21.891393826175673,17.986472073266945,18.70239980114695,14.657047055816559,17.451951134352495,17.518484385749648,19.59436442438891,22.58608434674858,24.891156298131392,28.549409926355466,25.140672962151143,22.96818689801783,19.461256602868154,19.20064438166801,16.404583255406237,13.196925191810402,16.852157440741617,14.23948347850225,18.703721785073267,21.25026773013279,24.984952342158167,26.475189418856928,30.024149378001887,31.56109442924239,30.65806638215724,28.515731903639207,24.48607179714039,24.244127118158715,23.581279197606648,23.0713358424779,24.19619935608629,27.27181253586434,31.38261683637862,29.393272396214115,26.764978981627618,29.045485676031003,26.15447046564492,23.314633051837163,20.96032375412812,19.686891800265556,15.577510707312976,15.976269127972131,13.34540835196209,17.2599455669464,15.225336563926636,16.55741220714256,18.456937996402363,17.74196559077673,19.157641019862265,20.894981017696356,21.86506578293011,23.77630582228743,26.485909517541096,26.973651774243173,30.679176497980304,32.46084164637199,31.757552341809195,33.35952753435642,35.922506246222184,33.492490037810605,30.00978354532326,29.449842900954547,27.266155139202823,29.348408952245205,29.17237539595133,29.1128710607477,28.813632148258385,26.86731253487688,31.57416275009665,32.5547506332528,33.206337755559446,33.243343363847686,28.69544870976999,33.94940242841766,37.01889243420811,34.80450824946922,37.77541384012612,36.60064743769025,41.41633377682367,40.69555637951296,41.55738619062166,42.448328565562484,38.59856251095951,38.05964995597516,35.61709018338821,35.63492690031322,35.97495309344987,31.419904634354168,31.68009557869002,29.13095019138727,26.230776082154673,28.547501773098965,25.397918836183454,22.39039771432206,24.839344619984974,25.962007158357892,21.15171931888496,20.94593350025541,24.31236084913361,23.52316802809478,18.695961371563225,21.18858496673621,23.102664183584995,18.988691861822097,18.18008820594666,23.005849049038698,23.96053692080472,27.219483918501837,30.160233918464797,28.800040603180115,30.86000659200365,35.60685311280669,38.637764301592924,40.34632532509692,39.15313005741624,38.17263591182618,40.128261144102616,37.120900465711436,41.72204679954316,41.5343173434673,35.53279201408196,37.60771362715806,41.91655464949056,38.599069863622766,36.07104712228512,39.301419148129476,40.97487261357138,37.18623109240409,35.500703394425855,31.70718049560715,32.08367734078658,34.68942434996529,32.70203546087021,33.7094102133754,34.816691876006686,31.642960580455675,29.14319573159542,30.384473248590048,29.598406812866454,25.08298058569058,25.153263628180223,25.69943282160738,22.872531275676387,21.571859231298678,26.381963289973456,25.508893883506264,21.260514648588142,24.668150050837834,28.509446945377768,28.58208863404493,31.035294926917924,29.98191411645491,34.27415560099342,33.50104962465604,28.60559190901163,32.184394464370435,34.65890332457778,31.974061103554767,30.986241512178218,36.94777870341913,36.6991246157427,32.09797576583494,34.41894168866903,39.195911101641684,38.22947284423342,34.76534697050924,30.528693050516154,35.213849052019015,32.11667184162062,31.455322763756,26.39240064815352,24.43745197176645,19.522099427462617,21.8141922738823,23.341052147724135,27.10659836884478,26.83866901506437,26.304566385122882,21.764863995241317,23.448677931520713,19.053183734543893,16.842273767247207,18.432435497614026,19.59596192569521,16.903238708180005,14.291854108130675,15.331929430149827,14.74506312749548,10.558387469732683,10.30081972802939,14.102579024102326,14.376457244288225,15.913168692424028,17.9259648855876,19.410840667217663],[14.171175962468906,15.146208035693142,17.002062975746675,15.65754897433053,18.344014671898517,11.911117182424256,12.933153842519117,12.839563434642272,10.336790781638504,14.187069628321925,14.558111973893022,15.004661001354533,18.610407373136457,17.676166540040036,20.916171917650388,22.623471676970237,23.804967456113637,28.047236525101564,31.93183482228753,34.0298306551344,37.802203911513566,41.555364751930604,43.11009108725031,43.30303758093789,40.23956735914839,36.12884577357951,33.67161510756098,29.382191381861112,28.33129889121249,26.293172962667292,27.81328403500237,26.441257818735107,28.532310262394,33.02313489214059,31.97503969193669,31.785083546359385,30.513326353324157,33.408920206647565,34.2203260990022,39.720336715851175,38.14557605986523,38.50793639294552,42.54889462777246,44.01876775334127,45.71968175213431,45.129187022935284,49.33244752779215,48.59139027959752,44.16319685208796,48.571013472431204,50.22579527033955,48.51367886872743,50.269162592442534,45.0574306930817,47.19559412558501,51.0307860360756,47.742700491553954,45.25023043916834,49.953992285998645,51.48001151794969,46.964255587195574,46.78895032488978,43.980937090170755,46.53280393251396,45.20638982724012,40.960331912045326,38.306071451357745,34.261395500616004,32.562637868967954,28.879581381977292,29.160761426472316,30.995619217267286,31.724805090758668,35.96794504150781,34.009575170801504,39.64447151119552,39.290497652002756,40.79258315091714,40.52208309424384,42.2857501830998,40.017266577590526,40.762871292439705,37.353560519595376,39.30069823002856,37.28051358404411,34.9748218219122,37.04463320989146,35.84249749125327,36.14336504236826,37.153283042144416,34.96630575015679,37.12258555886802,33.122079414991475,30.217096705460843,25.866318220598135,25.102220576020528,21.31686049290833,23.11393988406676,20.213619782483068,19.997838833712983,24.26058955272444,23.63244959549098,27.264852257586202,26.140093677272823,31.143308773760584,27.069515980178345,29.71447817672723,30.734245498959996,27.102133850896077,24.741721006060697,21.175125267147802,21.901963218593306,17.79614405534737,20.775309996580322,20.30209976429696,22.642425035685935,25.18342588601584,27.739820112622446,30.779837951547265,27.055576602779176,25.006328260983302,21.61937643267443,22.029526367905284,19.51262426014925,16.600400211239602,20.63248991824213,18.005401187903427,22.419702109695738,24.8963577567148,28.342549965757005,30.20619212407693,33.54386368793191,35.21325610497273,33.95858518700816,32.18425511982803,28.17442066320566,28.268200591611308,27.500625444205635,26.90040410861007,27.748227301062624,30.687638658300383,34.625857307410016,32.34990286042406,29.850879631733815,31.93001460501194,28.693239441548602,26.09935807419756,23.475394522486514,22.309752594810103,17.978041382212798,18.181637216392154,14.57703497704768,17.90627837999811,14.523130859362468,15.937698948883044,18.7544241606647,18.699895258492226,20.690702033035326,22.557436579991734,24.296388455032027,26.732469196671477,29.042813436077704,30.117861854900706,33.57031401794436,35.81625412238214,35.353033346059526,37.09982339152748,39.79343960304785,37.48822625817371,33.95808770797823,33.32532310562945,30.95151800778242,32.73007474917102,32.24611579791991,31.798012678593174,31.148492844662346,28.846645138137248,33.384243088427,34.85546819421341,35.61641975642759,36.152118105907036,31.61778931790971,37.08974793683073,40.29109402365601,38.15509308480269,40.90888811136983,39.53624809934696,44.49373988073598,44.011737330464044,44.98595347405436,46.06195080811195,42.13587699076659,41.78665452449195,39.400572918159114,39.40528940448444,39.78780052591454,35.29724101455667,35.38505953521405,32.84887865170809,29.716608773495356,31.824781470184945,28.3791244501928,25.706446955483067,28.263494962633448,28.93664789137353,24.09554677354118,24.44106916758269,27.39572027664557,25.946818430522438,21.499402435019068,24.020861026794677,25.426629511328102,21.037470044012714,20.658795014484998,25.295363204551577,26.71386062496832,29.462127159140362,33.1763874067171,31.747808952754887,33.436868810558586,38.29584697252631,40.991900583125144,42.90886313956978,41.58234915379801,40.82060681928902,42.72944636564682,39.77204492520293,44.52567043809857,44.45326155554376,38.60916955567418,40.68605614392273,45.16253360326217,41.983922450188494,39.51464692005716,42.76037778315534,44.61134203468536,40.896981246026094,39.27051832163779,35.32440771693686,35.42274666487394,37.841086818483944,35.54047027229686,36.27469541678419,36.946808503209944,33.80818776318442,31.648114569064845,32.60289427808788,31.337878064747436,27.136182299215537,27.405054021059534,27.28488432454222,24.251223761392136,23.495574385865982,28.042171373334597,26.624240981021032,22.43114995604071,26.29694413864223,29.979978123830016,30.536382831933878,33.03791263492964,32.24609632313377,36.64919044083391,35.820430093524486,31.279390473248608,34.99314257557369,37.494456834935114,34.89554662497578,34.24325776779739,40.10922267647648,39.89801441391093,35.52081935761146,37.97903629514449,42.64683477487228,41.70105909394609,38.35902848754028,34.159505038429245,38.828020594254674,35.70508109559938,34.73160621717766,29.81615435608506,27.84715584138483,22.91987518282618,25.391003339588686,27.125698503908648,30.946177534208996,30.793159313314174,30.072863740081786,25.685341124969035,27.21822143494749,22.948102130508595,20.45130370784048,21.403122832550153,22.109152654792283,19.001737962043766,17.284208611617593,18.00184259215642,16.49276292627656,12.92513920011864,13.18715833748176,15.928213955061295,15.194911911577792,16.537943695479733,18.619535269585942,20.029961630247453],[12.009747610302876,13.321220107149927,15.27556133898543,15.472707939048039,18.04667598821121,11.56352405873198,13.49306470077882,12.92499870553288,11.981648084896053,16.484658162539386,17.169643430371515,16.819734129968936,20.55776938152949,20.48983034199918,23.56046648981447,24.80322184946482,26.15839191363947,30.556337533441088,34.671069542544046,36.3537529784764,40.31661185646984,43.80195956582514,45.602499131644585,45.81714103056502,42.52425022491247,38.60705793815876,35.822037723909034,31.572853857558265,30.40576416043423,27.99874958696023,30.08716978515511,27.95358284897733,30.08032088682594,34.75074045102838,33.55498269186364,33.64661045569384,31.812476018971743,35.04419958923527,35.75645414166451,40.858970349767716,39.728622319848405,40.43299063573674,44.296315159207964,45.773685119391494,47.632261455243935,46.839552252476636,51.034965708674406,50.23727316519447,45.536900937878045,49.77340519692015,51.38678407974151,49.43366508037039,51.313910144567785,46.18121141266379,48.190933121053824,52.28765161442114,49.292364464397025,46.72970242624905,51.412337765232465,53.1653946164525,48.88819124527587,48.85134271184941,46.113114186641326,48.94601642008863,47.503125308206776,43.13332185303803,40.963454611067334,36.84824207325836,35.562635625967864,31.936062861289283,32.46507036750558,34.523517918940684,34.942756301345504,39.048483281875214,36.72612576129361,42.22788131326114,41.54668888005133,42.831065854966944,42.32268496034499,43.93428887841988,41.2339746024437,41.80664983121195,37.98250824870226,39.80176686420527,38.07362999265297,35.97228354014592,38.49993182317211,37.0580279299544,37.97157787276553,38.87298562743667,37.11428304019588,39.51057649682657,35.522955727881765,32.38919464964987,28.134021470496563,27.59589586805878,23.96763321675705,24.851924179722474,21.59212604017447,20.362436399261885,24.92855645684505,23.30754643078648,27.492648187687507,25.605462468870748,30.543133357792655,26.262358254416387,28.298223528473542,29.442990381803522,25.695935777864687,23.40126753239538,20.12138006841719,21.79532951146666,18.252204510619883,21.811319181881814,22.162481414508004,24.739256801229466,27.52567625455758,30.200390594958446,33.60237385750792,29.81451823800051,27.98795621551533,24.487919263373577,24.74294659150793,21.837539519011568,18.43100064325982,21.67245082504208,17.956668389778745,22.372787554667177,24.287110232111864,27.749557386202884,29.45823339418993,32.487985924868845,34.66216556465015,33.36380112578068,32.062210701151855,28.402829514740343,28.33716725835311,28.34105498025604,28.300649462053023,29.24724715085491,32.74167030726436,36.69991272660504,34.469317930530934,31.677506220327775,33.61501180362082,30.36121695631303,27.728222641571335,24.80577440547314,23.01984694495785,18.67560246677377,17.80172015236828,14.363997272809714,16.73447938241187,13.12523836343822,15.724858685277631,18.567992595725954,19.18935089372446,20.49291330589282,23.19526179825313,24.282019455375856,27.264743604343767,30.092836364211223,31.32685875824501,34.623396205728746,36.709769708167684,36.49185896785038,37.719549291360046,40.54595515448913,37.95417628105577,34.703279505266536,33.779824921121886,31.739259055440467,33.29914229448743,32.67480606343672,32.26189507272123,31.27199575941439,29.450308070845804,33.547634822402394,35.2821311242127,35.63410552538662,36.4129732161871,31.408010641996214,36.81777271958416,40.113649314009564,38.30060019673407,41.477095634459936,40.51304699192175,45.34890912187127,45.19773770446884,45.71946967341173,46.59968394254016,42.5586438126397,41.88304850699151,39.26474891917151,38.92170368074361,38.96444608843164,34.48902803124606,34.09628473062378,31.327889369562673,28.03856161592965,29.593741950467244,25.950296697703656,23.70571141833609,26.11980416911222,26.229077213473463,21.434536170305762,22.449517094400818,24.807533813938118,22.72330756358454,18.77523560536231,21.417938518979273,22.32330863851068,17.80354172224105,18.13380370918531,22.601016492568206,24.293283156177292,26.445905805406294,30.836597351288283,29.111947628511576,30.410770838756925,35.2500573715508,37.71705170471065,39.70068924681888,38.23242517680999,37.665544915078314,39.579723186288916,36.790347560302834,41.658702774127896,41.577171189584256,35.951048910958534,38.15172328878399,42.71597497745287,39.65588051933886,37.37308054211276,40.753323801687365,42.675882887607656,39.07452870234765,37.79598132645775,33.477973204147276,33.52378138707105,35.61453145431987,32.883925232701834,33.58894021595194,33.81228967791863,30.99554269867735,29.009851456541767,29.418478826863495,28.01183347856763,24.120050654752646,24.19859394698017,23.639267599404842,20.540684092998692,19.977782924312212,24.29997869514078,22.64311798352377,18.509410054672422,22.579102782941526,26.13958202718963,26.94869944435167,29.443823809359582,28.878398674994674,33.32179345875187,32.421436876988274,28.20564544575553,32.03064909347025,34.51898089845838,32.0502319514889,31.760958590386377,37.46168386220342,37.34961470510558,33.30663140179438,35.893753054122456,40.376432201129695,39.56437884822517,36.46485444468961,32.47083270741138,37.24087103199898,34.36596816038534,32.89561791284743,28.31458250783644,25.968807920075314,21.19795340296506,24.295787848492516,26.008715720066096,29.874475860388344,29.706911641104433,28.45672944134204,24.474618128669412,25.871065645693502,22.11467189011379,18.852797686752762,19.323923316385528,19.37275791137605,16.475792041826264,15.32793159012258,15.241470549617267,13.156744201835123,10.71545371126544,10.86860652002921,12.513657909590702,11.338620204268967,12.704690292683162,15.029749745988902,16.773310551801686],[17.33911553353716,19.183306768623748,21.34714209499797,21.593625373883853,23.983911570299888,17.29657542584088,18.468858759275996,16.900310205459057,15.209287886743668,19.321767118463825,18.78470253200282,17.702422015991463,22.616689913201494,22.510316585323544,24.52457723419735,26.00369173270449,28.285299644945237,32.249524019061134,36.7165594794291,38.414080135311714,42.33639261364573,45.95550350555341,47.811179096309644,48.443525302910494,45.267561116557445,41.29046282122798,38.67169872546785,34.38318241150208,32.58187216438999,29.799946577123844,30.67825292238351,28.680410600230523,29.897198607192056,34.640987779047556,34.2180842163861,34.919114119162444,33.37117234129905,37.28784295909404,38.549504795091096,43.699537024522684,42.94877665195058,43.0297338301235,46.746457673729886,48.658161717617595,50.76238574582391,50.390712825920275,54.52459294321738,53.339566926671324,48.86352949880045,53.397455811686726,54.54776611628531,52.52636999740565,54.00933378553467,48.95250189486532,50.34352956330853,54.457493427893645,51.57970258541789,48.533413646738694,53.016076213246436,55.180415289019194,50.715756451615555,50.06949672308629,46.9675324623224,50.002863708179,49.055972859988806,44.67698067887839,42.373288825614196,38.04378932683384,36.91774231149153,32.8679524256622,33.62201963163993,35.20310344918356,35.330741696117315,39.72136665633563,37.21558457219755,42.33367065319046,42.257859935186055,43.0134160017724,43.0334656323687,45.12127449281948,42.596394731314724,43.83468789572631,39.93891545999305,42.360011957805625,41.00617907948686,38.330921390221626,40.51018122393989,38.42199730855719,39.22729238154416,39.18270231520748,37.37920846730948,39.18011097780234,35.075662113943125,31.773342769156553,27.990420764792272,26.73368705956447,23.691920207641726,24.55398510852082,21.67861817096409,19.830300834100864,25.449108630303254,24.52215441161831,29.12266485771915,28.02575541017824,33.595002020377756,29.884667066996787,32.05350199959386,33.78173654500574,30.415666510528418,27.58012961832767,24.808671666395508,26.151770653296314,22.520366291297947,26.124916956434205,25.740441024170668,28.62695965066397,30.787371748947212,33.80087409678549,36.35741947876003,32.18202151422318,30.61691729671396,27.328811542073343,28.44661034793794,25.872524925750234,22.849234673691527,26.607591898449908,23.156812143365652,27.415345726467976,29.36430478765249,32.316306825983645,34.63752503518473,37.37887720660481,39.583966463419785,37.75169240359191,36.92821815494919,33.263028803891395,33.79096799712771,33.48864422883724,33.29798282356677,33.787907197018164,37.123029847327146,40.78351881301264,38.12771489280631,35.51901031152035,37.13788895083758,33.44504471870829,31.191924063932,27.9813746388758,26.43695568536666,21.98993527901256,21.11374699292174,16.724761507653948,18.18991895962907,13.044748378997253,15.347482049010988,19.234725603654738,20.671009020810068,22.71959632430282,25.35917374564145,27.506973744535273,31.04133842038813,33.21648166254309,35.24631492040611,38.146633577796024,40.9105603538915,41.06218248628826,42.54747006159081,45.58886259204648,43.25732966255173,39.89777339086566,38.871526022620635,36.491368242847564,37.594878099776544,36.54086468545033,35.5729447710407,34.14786911164584,31.824546151289855,35.62360877448331,37.99675933324667,38.54616629788549,40.008675031896075,35.17571404182278,40.84137989150557,44.28758272191138,42.558275161582586,45.32375085905267,44.04293449034843,49.06315849067675,49.280573504262776,49.98894297830114,51.18406520195863,47.04860755798152,46.73485599663886,44.27097301334979,43.9916436300571,44.21884755568462,39.901373821901394,39.39330621846657,36.82831199771743,33.240494650779176,34.736945330542476,30.783727707477574,28.932220554785818,31.647031789033147,31.332806191582357,26.651336419937344,28.299938950227563,30.294802556623498,27.544799536059276,24.278029342764714,26.95399839180174,27.33848549618845,22.750162633711817,23.591598222964613,27.7297950497287,29.77656312316759,31.337185579618243,36.400408810283004,34.541866383725925,35.42803491004952,40.21612009056461,42.32070646665242,44.410855865048305,42.65819999890646,42.25240435191747,43.960346622476976,41.13705709004569,46.11095745568234,46.32056767029274,40.92116909386611,42.943462634948,47.725960573278286,44.95231476259893,42.64343843766754,45.89379728962336,48.17078301457579,44.73038647229035,43.28975058013071,38.96776481779593,38.46861672508929,40.368326513984094,37.40994604295874,37.622414877337725,37.38148259521422,34.49736403465791,33.03996865254543,33.32315193442165,31.234108199702646,27.82890165778069,28.41555234966787,27.095255501830923,23.885868510989443,24.221318868664014,28.068777686967845,25.80126235135064,22.143608970535784,26.637968489375023,29.810135226326757,31.183614045067863,33.51001079720865,33.12586966420036,37.60996210511986,36.85810011138514,33.136367214052726,36.88070346469207,39.49799097715379,37.24453820629621,37.17439096534007,42.70313644082477,42.78936559431278,39.004628184064515,41.551859634328956,45.95418434695695,45.29285325300852,42.33644934221045,38.447397578709165,43.21802801906622,40.37940239930372,38.696623551738085,34.27038143836308,31.88581265600042,27.194353676831494,30.367972520820125,32.14592778559013,36.01384725361895,35.82677007855078,34.40024373528375,30.412549513247175,31.47513901210735,27.743785391034244,24.554138408015174,24.204316110548394,23.932456637183588,20.48341451237203,20.434206918188984,20.48125125049341,17.536302583977825,15.604211305648823,16.741044268236614,17.478967730331803,15.347659414899072,16.30660895055946,18.419439938808445,19.8538629883159],[18.83675879847271,20.142614972220628,21.945416533868237,20.904914909444578,23.094696977986953,16.420965882275123,16.70332722018472,15.40612023945601,12.42819920081693,15.83566058023462,14.891763538955427,14.470863442783472,19.265580161974896,18.457191235661075,20.514289264346385,22.396435441530457,24.54305780842008,28.337130028253487,32.612784499791175,34.64254876882885,38.39330745325943,42.22978610577967,43.87579846266891,44.503183778593645,41.527750857606186,37.40711010117375,35.0760939653918,30.77572144065223,29.051263561388808,26.60997950811483,26.989011122349815,25.714647653929806,26.972198408272284,31.532289604456,31.18560304091889,31.57967902980128,30.563888939385162,34.13378778765338,35.487150193861076,40.992087361646064,39.842240458357566,39.598505629951674,43.46290230264362,45.36805345937719,47.33789991245254,47.16755195351192,51.291608584906804,50.141724460065106,45.931989545268046,50.623697828694525,51.79655416973932,50.01159373750809,51.37409198304914,46.247910685538756,47.78035798988719,51.63038960257666,48.471463512784716,45.512834025992866,50.022975170094234,51.94937223265556,47.27387967262037,46.52788634468986,43.38648082149586,46.15289121171528,45.28882409069964,41.026749250551944,38.31114121134258,34.05071323868929,32.59276109973227,28.504531996186024,29.080548084695977,30.50736652160203,30.853352965095816,35.33934289059511,33.13748580102622,38.40190809022658,38.57422846440523,39.576669067630434,39.77810457605446,41.97699107737449,39.86771798648301,41.238422669522635,37.771750833951856,40.290904487317036,38.639634758058115,35.78015647804914,37.519960337485024,35.69894949375971,35.91323301519777,36.04123657304287,33.82832099488552,35.46458910550874,31.352891642421334,28.277524808867046,24.347410413810334,22.937720693112393,19.689377840686177,21.436411852886653,18.89719312603916,18.233182166034574,23.379099678488355,23.467110980113524,27.417127557340365,27.0782849581952,32.67285861441706,29.166659792367035,31.991215208276117,33.57796704487885,30.341519429513376,27.41903949453083,24.35657988545803,24.758074373314773,20.644714674497173,23.716421177507637,22.568716873816257,25.28820379838359,27.137941519009463,30.091268846776074,32.25206984043837,28.109992523209858,26.43300978948774,23.288863096304304,24.67449930872194,22.46610721552302,19.93483452732898,24.309604654171995,21.837254267420466,26.03392423409939,28.504806362253362,31.38870104770813,33.92229173586639,36.95128842066266,38.63244895957719,36.80881794849068,35.5508497827083,31.570954240812274,32.35413869400452,31.323738452861452,30.666038177112547,30.961131566980207,33.82930170694026,37.38056180038788,34.63953295153968,32.30304219818485,33.99171442878125,30.304041602269464,28.131058397739046,25.18456790919661,24.227830010089797,19.83262292256722,19.988826221317506,15.496604562836652,18.081572172628913,13.547543151605055,14.421381948701345,18.106747700756394,18.732445379095502,21.443378326432864,23.217205289998702,25.987239762934774,28.98387409775313,30.636047693191962,32.55810918161354,35.5546795074171,38.49734224304273,38.47994145001344,40.45220569183863,43.403601694458644,41.388780452014394,37.779477587630005,36.98636710713047,34.26664935616019,35.504842096485504,34.55976843697705,33.54709272630292,32.47238111572465,29.68384503883995,33.94145083896424,36.00630851912143,36.96815775711839,38.17194337447632,33.828490700815514,39.55053216418038,42.89874080433623,40.853671644357036,43.17931561115824,41.50073237706228,46.627448036142816,46.5633036715333,47.70209047892062,49.10890189667286,45.082040164842454,45.120503066543165,42.90703054707445,42.98477706512805,43.5898731336156,39.28411090155689,39.2688675659794,36.994613147424964,33.51558351477864,35.66685479441634,31.88977040793724,29.55057386260738,32.53077700941782,32.852727738580995,28.059692442445055,29.116756333514033,31.803257049541134,29.74670403285552,25.912501410445607,28.621679117483037,29.63877157230755,25.11987109853556,25.32085119205146,29.819733973496888,31.467335016778,33.75723603151921,37.99076513147353,36.318985772976085,37.70415699375833,42.47681691954665,44.98611871904447,46.88655155795036,45.2087970254417,44.4701481098104,46.13321422634543,43.02934360458747,47.877643273131966,48.15012504884856,42.43590423508507,44.26930774392641,48.99199015633329,46.11286674341568,43.533001526533184,46.60202437830847,48.88110127181326,45.342121346152105,43.42115518329486,39.523012623293475,38.99228851095017,41.280225862931395,38.83919819778489,39.08098430119519,39.45731917954184,36.12722916269187,34.410926819188134,35.42868841456706,33.5613103627808,29.661366213011235,30.49893931776911,29.83926998313708,26.69034131618452,26.71288169841678,31.01794230957715,29.17483455890354,25.37240475807808,29.669103579611903,33.08905306282495,34.043754379299614,36.31755508433377,35.52987065246607,40.00779301048454,39.44673726824879,35.23009338740209,38.79224730053508,41.52903447558486,39.14971222480497,38.55287693932346,44.31708756671291,44.40305116148042,40.20062528426167,42.50849754653478,47.18843310637571,46.48002136809398,43.249328434265784,39.17656026472528,43.93410011689616,40.91779928916646,39.79784293717854,34.988879533249275,32.834193439579614,27.96753984654931,30.6472460341321,32.313896306420276,36.135239444302535,35.83009343635528,34.85737798956579,30.366143461005233,31.453446030872584,27.20339695805735,24.78269063271244,24.836128764316754,25.324746256330275,21.598474659457615,20.901397466469625,21.877462995731438,19.54615387908124,16.239889523155394,17.653892296673632,19.708547125027934,18.25438793606308,19.37633914068041,21.397640182131905,22.72896388343892],[18.090049703791397,18.901366120281686,19.995976895618025,19.266113226843544,20.691089052397597,13.904148938017842,13.936009178875429,12.087727762815355,9.637488589730342,13.524334241909186,12.901836347098712,11.962372662620638,16.732967782415347,16.670335589064596,18.759472794974357,20.203282686704007,22.37657616676346,26.376732987265274,30.853565521323073,32.5171060487649,36.44896686205204,40.06275287208938,41.91749601439261,42.56020163705504,39.373098070612784,35.407287772464244,32.79019158675953,28.50034160365771,26.691042700705584,24.01504098038115,25.054302490471027,23.20430878981308,24.771890762970788,29.443400197907874,28.769417373718234,29.207016119396858,27.79181573777003,31.492394119153737,32.76459386483119,38.059918287511955,37.17643607675425,37.15664684691855,40.91514936642557,42.819546647396336,44.91631297510163,44.63660810197296,48.75645929082429,47.534956608748665,43.15340662421234,47.77534099137729,48.899768725620106,46.98747452698226,48.42216074452941,43.32304786311113,44.838301381965124,48.830370016754586,45.82091425839004,42.8662257844969,47.40701110781182,49.42004557497574,44.913669178937276,44.360989378673025,41.33985481467489,44.28828519992033,43.238925310347945,38.86910669157891,36.56972214761005,32.2688192965281,31.18002565251219,27.22217722835952,28.044370480250468,29.882529035844193,29.906463102562114,34.166938072274455,31.639535597151518,36.91393552291355,36.64138006966173,37.63272043689077,37.52527116398058,39.52663284073182,37.12969697716657,38.315312334055875,34.658326575997364,37.07747608708141,35.52954161565665,32.78197411509241,34.806963802990104,32.9433459929152,33.54212234502208,33.833227877232346,31.92130098785625,33.9520487270254,29.887602233747195,26.685510144788484,22.632881749446852,21.719782221119704,18.3552941388518,19.362295077952325,16.423658640781703,15.49031480696122,20.473577020290833,20.098108157806934,24.15121720098712,23.538144086664097,29.113275804098684,25.596545368090766,28.39815629015146,30.072542033643607,26.945405272011147,23.89687066402139,20.98262019024819,21.444647538892887,17.50262884047188,20.859678977329768,20.067552848927733,23.07049860657527,25.013613586294944,28.16675135172571,30.582374620028713,26.334897167261452,24.901147932045433,21.621629822849794,23.04726610775971,20.511985368758065,17.67632249344732,21.720518447228656,18.886434992154644,22.972713282641863,25.306924258474172,28.007490910668032,30.728272111213553,33.60090207858513,35.3562829744058,33.37789966299171,32.3665859358306,28.511621295025197,29.536188375702277,28.709313362351395,28.36933214023884,28.495535225546764,31.789198661048204,35.24360041518628,32.41814248502824,29.870611731140055,31.40482184701951,27.649284282906002,25.472655960334674,22.298112581200787,21.0437252161911,16.611836854233886,16.45061701538927,11.93956657463147,14.550336744237509,10.38622180343584,11.390145154901537,14.825921613966992,15.488843903079838,17.948019914895315,19.99950547583163,22.54316288187952,25.78007253411069,27.622448799536162,29.720124658505195,32.58394065031385,35.55071146999168,35.778657012618154,37.54754429827515,40.66440770013671,38.63544895280436,35.12291470498083,34.11732917153186,31.423416682557082,32.417351316289825,31.33647580887364,30.287980145280137,29.087164032645102,26.48092963797815,30.630690061532917,32.74246997422157,33.56351427228392,34.865112941112876,30.386554148335826,36.12715114916711,39.52374789743345,37.593605173415256,40.024786955321716,38.50543619764888,43.59623057904544,43.769155463172375,44.696898211091494,46.086796495685796,41.98247432321765,41.996762409149184,39.76252295000817,39.77304013017514,40.40058588138971,36.189635232717976,36.085739341913474,33.96360882673461,30.331886574489097,32.598504404907686,28.743601829479974,26.46528260323138,29.738675058567004,30.05751073917262,25.315312519878887,26.719696127140566,29.429740508102974,27.333666819918076,23.783346324033147,26.74052353464607,27.83950828535472,23.402726057703447,23.917166004252998,28.54073482516797,29.94809881065995,32.2439062670803,36.26822441971813,34.31159164209517,35.74350544911791,40.29771877215147,43.02477209375628,44.63892941876119,42.72935185927794,41.77258039264577,43.2635984044131,39.97974413538753,44.791216186020414,45.246368252535305,39.502700571258195,41.139659233338016,45.94044098111938,43.215064873183444,40.50631351515489,43.4371283887955,45.951465773286316,42.53216579274769,40.36763856020388,36.55647118345975,35.712901921923546,38.00405609920505,35.65747392372843,35.76133005817236,36.28693343429425,32.7811422698873,31.082040225528463,32.37884490214907,30.488027260251137,26.469617240055822,27.584356041564114,27.128480539260664,24.039505496731977,24.18513949980723,28.636079941490117,27.01641912859152,23.43382956803733,27.72611047957654,31.133023257356736,31.911997557533592,33.91099590792406,32.825673804864245,37.29344545559021,37.057994489932675,32.76499573181605,36.05598287519112,39.01646132403235,36.78281253033354,35.92637934753066,41.674605746450666,42.05911252632117,37.8542058169527,39.87738054762608,44.6531855777249,44.214792465578874,41.02967854066035,37.11852153132859,42.04113856243164,39.26222269521917,38.19459255734288,33.42388966345694,30.936942588086005,26.188120245135813,29.126120494234925,30.462988552722912,34.23705571503949,33.620608472745985,32.39815564485941,27.763799747330033,28.49940477503385,24.306336701671164,21.985035901365553,21.620936435207923,22.229782842928444,18.288415506124117,17.798721368732394,19.21153460538285,16.831541969528853,13.187771487842783,15.4275849244779,17.702816331687043,16.566239001597452,17.773145597874144,19.786553030759343,21.35802547988297],[17.764999917568254,17.97051820696832,18.559080516509464,17.034484497244268,18.117610077911053,11.541367095109143,10.96088320046001,9.613260840387897,6.367100951480281,10.1684757525092,10.014985909862181,9.917145818445665,13.92676068031127,13.563615107845905,16.280321808135003,17.772476949525014,19.407918363534293,23.58006275409872,27.839094085918433,29.630609891602006,33.526190242143144,37.177867346899234,38.93051181132781,39.39858421911206,36.228145325773546,32.21668312248701,29.632247117955004,25.327247348310593,23.8272002269619,21.48662098209814,22.927856096839136,21.353792695938694,23.427273855752627,27.941376624124043,26.9035642700659,26.884345023554904,25.587820457814683,28.79547483037276,29.872717487046923,35.33771661644496,34.102150323751644,34.195042256233215,38.092992748627644,39.81650601022893,41.76202904763493,41.4051811937622,45.55586784004119,44.49595951005413,40.13555614940434,44.72695013691571,46.044921484911505,44.27018983492099,45.81127208604932,40.64120120836848,42.490701973609674,46.35149488018748,43.15810796925769,40.45406231911925,45.099313775438986,46.82391629358919,42.3020265620171,41.985517047329246,39.11840727348804,41.86291528066562,40.61304014665251,36.29008366446175,33.885302891175954,29.70635927453186,28.419581470842523,24.65550707235659,25.319009976917062,27.37605991478576,27.595414030723084,31.73106824719567,29.404266851658548,34.92594776085248,34.44811700995763,35.807786443983524,35.51841684097441,37.34000095157824,35.05777255694444,36.00324217511584,32.59736844246705,34.80052271388466,32.93728566252932,30.339298130630787,32.305958945633876,30.87610539641395,31.24367169634937,32.0834929100625,30.01704535473968,32.284929111054815,28.2982099713578,25.30453748262915,20.95204795141197,20.41341022685658,16.64848973736957,18.048795902702615,15.09605683354896,15.200445883518865,19.23139444087773,19.087930834012415,22.521012092153736,21.99489185337231,27.280766896825156,23.68303708650689,26.81806773186491,28.186798199849534,25.04830082693563,22.154584585994673,18.92092833127428,18.850274941270023,14.6208176325112,17.647110305764425,16.697571497080173,19.561806959681675,21.614438054745918,24.659237295858535,27.26772811642089,23.161061853384112,21.579825398056467,18.225219991780897,19.476040751324643,16.92754179183548,14.161170144513829,18.413929147473592,16.116325251066282,20.17121172984456,22.814964383493166,25.61187874752123,28.265279809095944,31.379057436637858,32.807844014451604,31.014336254847834,29.595273536936283,25.564344813354257,26.586065148813578,25.436974932328727,24.919322947668988,25.054001235826814,28.22651152991598,31.730570780726392,28.99064462584695,26.47636101666113,28.166913432500415,24.567449048538332,22.257637675023076,19.315024917430506,18.2930073558801,13.912069269069722,14.477485304953222,10.41834092281027,14.162168667087391,11.376462087388871,11.60302731536529,14.173314810499013,13.865090441404314,16.343622761146825,17.866994674036217,20.303704127810605,22.991054728009097,24.81359821177461,26.546528928431254,29.623688534883154,32.440310506355225,32.46479745932345,34.399866889038975,37.41724980555937,35.4792210986597,31.866671011066643,31.00095219494511,28.22018269802472,29.434238127932748,28.568084728483992,27.71298632821311,26.892203754030497,24.246591924834274,28.78033773217185,30.440700782552852,31.40337599747363,32.28490719522752,28.01773653097716,33.687585837347015,36.972527561366704,34.83948761317563,37.190009952270074,35.58544376715003,40.669362177162405,40.571255229405125,41.64100271837593,43.032132953229606,39.01201834351761,39.09428400367628,36.94920658308072,37.13891226771631,37.92758484677894,33.699179287427214,33.918609379246824,31.942924845430344,28.487334205953484,31.16244250179699,27.55488326824471,24.89535775497223,28.235415353223758,29.060347632513366,24.318985309194076,25.20230412055715,28.388378645597022,26.9230098025874,22.989389396020897,25.921046309380582,27.50955839770202,23.263011354792255,23.320907161836942,28.131401658214294,29.148720051934216,31.96949966032617,35.253170617997085,33.42015468633703,35.23539082039254,39.710916722685546,42.764879530616106,44.193879903401,42.40086468644291,41.1969219886804,42.69539509964962,39.27712565955824,43.941382902373256,44.355064119932685,38.40751117088365,39.95648729980945,44.62829643996125,41.78920331479095,38.9368789319214,41.76872661854888,44.184900139591406,40.69524127555969,38.2809542173414,34.76080705900624,34.04099231275148,36.60434896910817,34.664517726179945,34.93210145560064,35.965101571761515,32.25791288758099,30.256454409261053,32.02349470829487,30.500074721844292,26.107130911301446,27.21451927178659,27.387836529335075,24.442045032248014,24.165527452121722,28.91555648631307,27.74654538484373,24.067910073475073,28.035049775874807,31.61476173076838,31.979841288786954,33.93729127557077,32.56026408623808,36.952755416992204,36.8166236200356,32.153191513735145,35.28453124313859,38.26786404802515,35.94521303794032,34.695105005676716,40.568933959472595,40.931774959491555,36.45380242941051,38.28729373466591,43.22193890968536,42.75529009480992,39.40469766185546,35.42174061010927,40.31998384341665,37.497616424343285,36.83247635669989,31.864566130964512,29.49788518449692,24.73823621809349,27.349119573277246,28.50642145538435,32.19452420508622,31.456642596209274,30.529718765956776,25.612999057027366,26.394935887332068,21.909848550971667,20.153781135587202,20.248146438845108,21.447845852021775,17.605873314140897,16.375722433532143,18.406653255165324,16.753663946801762,12.201257420827687,14.424570719174309,17.667657307147046,17.26681389132478,18.626936104469365,20.589561004229626,22.17467830181395],[14.369840213880506,14.1347932761591,14.205060992667846,13.600051110152695,14.388941510895146,7.575031014449581,8.109579191179723,6.977030619987635,6.344964490207416,11.080069060707022,12.323502931152301,11.998731677264526,14.971247297976856,15.497191968344028,18.70861803923725,19.53948915335493,20.63482125783078,25.166346439236893,29.3271188819325,30.718496808895722,34.77215325918642,38.07633996800405,39.999241883402306,40.22326070168016,36.79324662763952,33.01316480728196,30.0435514476096,25.833271080697422,24.679284663502145,22.285558910942537,25.036244366456785,22.693850056260906,25.324916435769296,29.870647686994715,28.240825087119827,28.0962068806185,26.10470824329435,29.143534883157177,29.76212438679282,34.821617417949355,33.74402105073609,34.543950558321754,38.35897790825622,39.81251177345405,41.74005006019209,40.94461254763873,45.12547767078015,44.2534144885336,39.51795341559639,43.77803968679988,45.340831545440814,43.39693959238696,45.2872693754822,40.14653166692527,42.25767491237806,46.32932248210373,43.331501507524585,40.87197927553763,45.59751471077174,47.269035373297406,43.08913685051279,43.26449106291795,40.69819563534814,43.547474464528996,41.9052114422727,37.51005032266619,35.63767932015588,31.58356423753084,30.575282487360475,27.200635820631863,27.911267639768308,30.40504186504814,30.550568555434428,34.32920268768823,31.837903471207888,37.39018460717808,36.26951659956179,37.735697392950875,36.92150145384025,38.30297252756371,35.538951775729956,35.91054568116377,32.18851129684804,33.892952174895015,32.05501239115807,30.016781477942192,32.61567414800568,31.386600213247878,32.38069482101688,33.69391189952563,32.07163366521009,34.86881601902752,31.030438935466016,27.992512645798907,23.568962236047085,23.672816511645053,19.864052362197494,20.361190021176053,16.936100805195334,16.392883798420318,19.93034675233995,18.35964358180322,22.0047381839727,20.239988407395458,25.071560482444745,20.89992539596366,23.49500267446595,24.62517824963047,21.147062722631713,18.57156183435955,15.176815360996965,16.105431085444334,12.356377109371564,15.985294683647236,16.397842167231747,19.24664614419791,21.97454574091484,24.86678831409357,28.35952030605872,24.515779155591304,22.969782677607736,19.420856709981138,19.86462352680004,16.722909794108343,13.167679371230765,16.343412167867324,12.801448435029899,17.07053874194004,19.281917289997438,22.43650914611223,24.65303785789584,27.71884230560556,29.541370476745442,28.005053631405847,26.68273611135553,22.90887149694032,23.47341908811701,23.15194301546941,23.231524140045288,23.744810621789757,27.538043455354646,31.255735348116122,28.83723519536388,25.937310805533137,27.711113563357635,24.405377379812766,21.800946427109725,18.788461974599866,16.982066081441324,12.64164414106121,12.149207166300938,9.011542582425449,12.541147864888588,10.735220279933804,12.274495169543687,14.049060941221775,13.844017171663054,15.036979050112144,17.415719765626818,18.456317117568467,21.286832920105812,24.045007558865986,25.38814604434549,28.592161654619407,30.840048419372007,30.850768262867522,32.18591902292301,35.21137139591173,32.87086472291709,29.531829685543926,28.4635691783734,26.153494889691682,27.467510611670352,26.746196483065503,26.281863566829823,25.4372875940629,23.572225282545457,27.882579746173096,29.367969747186795,29.839600311173488,30.505209962930504,25.692169376808828,31.18716296404752,34.47982413724572,32.559698961819116,35.538462334954495,34.48881374104907,39.35937623827969,39.32408648910171,39.89004110691786,40.93136999694113,36.85209983653788,36.446428987142454,34.00708134580699,33.87867659713185,34.308500519006685,29.979976529895566,29.900572189456263,27.661206343005286,24.200802619659935,26.592757158301044,22.989883617076377,20.372318512240597,23.57560208684233,24.291991829300414,19.534600368872674,20.589642290811497,23.63676014800741,22.162383117593688,18.312622014909415,21.35852446116067,22.954887194599273,18.821753600073624,19.10938956357527,23.92334824239084,24.802264372367357,27.547088917245492,30.780450919017944,28.766519853274545,30.56047061781355,34.95542446465381,38.0901002729879,39.42519644853255,37.6371999762071,36.428166119324665,37.99481350654212,34.668424871920735,39.347332646931534,39.638822704047335,33.7076073716248,35.393665106154174,40.03355366427391,37.147759796406255,34.4001911824235,37.37776004327906,39.704020357230995,36.21728514678649,34.073958901900724,30.298215227557897,29.774439490190204,32.23193928803459,30.14084391020236,30.629118509536646,31.643388807052695,28.14995438531041,25.96979036468693,27.52413129440478,26.27063551228405,21.78646867001488,22.59039792745804,22.972391758023853,20.108123677735982,19.533250621237706,24.382189819832142,23.472590686625516,19.786360075959433,23.55176696355432,27.17305508581516,27.348566935059168,29.276303548376898,27.864048901455455,32.23667566088696,32.07059430701031,27.359090114128634,30.505000387485495,33.46683115195988,31.163267567901887,29.95072686155743,35.80244428438158,36.198776771312964,31.80503909868148,33.66815159243475,38.548351771589964,38.15377258584232,34.89839840794944,31.034491683604447,36.036799218392474,33.41350232316347,32.566397249924016,27.756353214564637,25.09352369138803,20.456348521819987,23.457585654468726,24.452814526223563,28.153872089275577,27.32824724994278,26.083953134269905,21.347100413300847,22.13480418640533,17.922301716204398,15.639150754159063,15.773048063292233,16.840571550644057,13.335214024254482,11.790262163803492,13.610949784874197,12.18950259252289,7.537590594811925,9.80961368212608,13.20385516011652,13.343879093992733,14.846922229192044,16.908109177172374,18.811703429035703],[14.098839959763707,13.227148791500817,12.944526297908284,10.966992889853193,11.817926101535194,5.381937165556607,5.540031129224506,6.559042808234178,5.340399073177928,9.361085734496575,11.480590329171198,12.386565393236268,14.039104643568587,13.907682005562721,17.91947283772045,18.88197323685707,19.109807715120734,23.74723784781797,27.424370902454807,29.09168054744928,32.99593305251257,36.37754368591313,38.07567883130167,38.001717830925735,34.672600167929616,30.81420790454075,27.984574916359872,23.810795909635328,23.239649562040892,21.45266312673162,24.53688794682742,22.722662963012443,25.787207370239845,30.052360933180555,28.106164557149427,27.378564514207756,25.64443205840723,27.91304481294531,28.20635121659597,33.4772665656696,31.81385459901696,32.80030593170111,36.81791332126512,37.96524188666649,39.60201387442925,38.66081157397794,42.882452307350654,42.31878939602657,37.64126329295517,41.80482403314579,43.70734586933809,41.98305052792701,44.038817414207784,38.822177553735365,41.410459947722686,45.26387599183386,42.00671902518974,39.921343535086386,44.74900188193371,45.999616709293484,41.7967077195662,42.25265668684994,39.87952653803128,42.386545414773366,40.532569996949775,36.26548283646036,34.15367809534595,30.33881786158679,28.944748003567664,25.871650564101557,26.243283636512796,28.84511236902235,29.388876668335428,33.02671796146886,30.94374394245682,36.73505062334015,35.498985920688646,37.40732573178911,36.45831577882394,37.64123134190047,35.099908931899485,35.166282119855154,31.828045173188112,33.20134770670755,30.92219547514433,29.15976865807463,31.63010366510318,31.008994654772803,31.624987426464806,33.56801710909537,31.705411934138763,34.63140623095715,30.917151482378827,28.196786039714162,23.571164050071268,23.92233782768016,19.834626875151496,20.94680815012585,17.73454557136323,18.23768433752144,20.79332552535869,19.56277393163733,22.38741610298663,20.70088145530434,24.974655220555558,20.6540149097498,23.51220074211372,24.08849951760309,20.479100116481305,18.378623881136583,14.456289934856319,14.810700266497134,10.719675711183836,13.690513348289365,14.093772955717872,16.447210972156817,19.512084527913014,22.022840545832782,25.888277694433313,22.42494492504819,20.537638847003617,16.953018584072932,16.766489458567428,13.611200860248717,10.041506340677785,13.437773569202124,10.671129016939132,15.056133769044253,17.708131939392057,21.234240822620556,23.04029076734427,26.534884340398797,27.945892345823914,26.868390657035437,24.823118853895785,20.790338285156544,20.981580522230544,20.28595214986994,20.045105635626598,20.8647466469122,24.375510850618525,28.319409202357186,26.19537319004819,23.379338643046868,25.507901877674463,22.586099104251893,19.730629481066742,17.25111837541786,15.80111355592897,11.75431699903083,12.290872352480436,10.263975518332462,14.63302502037065,13.89414367428007,14.756420705048997,15.804987443546452,14.609381632294724,15.683745257764402,17.313397223383156,17.990837586588242,19.850305645363182,22.679504971012232,23.25224327302467,26.867837940227226,28.709121071674478,28.24591305841751,29.77553244677503,32.537997769759386,30.20630147631606,26.7309820021238,25.96817085653524,23.670024413249923,25.52222930576282,25.251973144335178,25.189907383724716,24.93444226539516,23.11770802595505,27.847712967192184,28.687413798443927,29.307385703149084,29.302749778244074,24.772206137156605,30.052642665948934,33.140803611831856,30.93663968284628,33.89220951312705,32.77771631173784,37.58542910084186,37.04741484236195,37.80465074659939,38.75628822666172,34.83716906258735,34.40048391242125,32.01985941786806,32.096019633155414,32.625053504520736,28.18711688771604,28.54375934705141,26.329903535319275,23.27441412581463,26.03824941293797,22.89361442957573,19.754913151206104,22.72206716710438,24.109228116937192,19.40381026245018,19.435426633490803,23.07866762968948,22.5194646731967,18.02234601188786,20.80844227598123,22.994807459008953,19.16506021606317,18.632459503531955,23.546880231427355,24.022812779920603,27.4263749280497,29.78066733007705,28.110250929953928,30.361188517677526,34.75184108416338,38.15321054697078,39.4191978679906,37.947833307657014,36.584932825283,38.28207852031346,34.96122184341259,39.443399261824204,39.52489769365689,33.40253101277572,35.13306253884748,39.51033669903405,36.372982059517824,33.57172280536966,36.53618670232123,38.52951311265757,34.87405620046164,32.65510973093731,29.163896092281533,29.103498319658666,31.8690371849678,30.226582278955288,31.06473824566421,32.58576847900062,29.063349054705295,26.496528641443444,28.369770252945017,27.654891880665684,22.882879379372945,23.393775104782335,24.44088294867223,21.79534589698571,20.578332563252353,25.596079935794926,25.139801978412407,21.278281232335452,24.524593126039406,28.314594669998083,28.057083207292084,30.089055572621366,28.531571169003666,32.754360393318855,32.483504369253446,27.393286056914608,30.492636107143372,33.289951646037096,30.789198993872134,29.259107218654922,35.242669927114235,35.40402743804411,30.686508171219074,32.50071272224232,37.49156423871862,36.88419343814632,33.4052598213429,29.36228904515466,34.23365171292384,31.43059334775537,31.055558333372574,25.987680058223816,23.6753055625037,18.98610803660662,21.39819824567292,22.33972782327661,25.962407270648065,25.177736133264588,24.473629625534993,19.503175978886695,20.667630363214183,16.07060044274233,14.462576285569439,15.702851156289967,17.425132946721785,14.494302899599685,11.711512169696439,13.901008785460272,13.668251994160256,8.530019255047346,9.654660473753761,14.119733924343215,15.042755589064802,16.634342088537682,18.535478634902567,20.20643573686704],[15.822102258179148,14.277338609671983,13.357132494559153,9.811483938076282,10.071227081394621,5.639188641582036,4.245770193756355,7.490875729652773,6.0166105273814505,7.968158254907044,10.977029459366795,13.049741884203154,13.028227006002105,12.250779959939106,16.942013480102737,17.927813736173203,17.143246314241104,21.77958953433453,24.86792798961004,26.767605399091135,30.47704383058263,33.8905605520511,35.355661893886825,34.98229729396729,31.76639786206413,27.869951750979094,25.20490810010379,21.133989760996148,21.219553452733276,20.15457544797956,23.58149389449841,22.346763200381282,25.822777681787713,29.69349845830214,27.414086810091195,26.06356268991888,24.63853599492821,26.018384546377767,25.964213935238867,31.41600170878756,29.1420944475497,30.294328191612795,34.48603318297961,35.31556520834875,36.651385563531754,35.5909139288892,39.83125932684523,39.563671419298146,34.99392840732275,39.062628093295466,41.277438627814284,39.80513193590739,41.99264632190892,36.73189053383837,39.78954247055045,43.37506887363169,39.86199477670861,38.18064528916274,43.07827702093121,43.883386853099644,39.68214149633383,40.436686488853645,38.29874845185171,40.43605188285464,38.35877320538164,34.259631236329355,31.956464336650487,28.449270336730162,26.715057008747525,24.065183707711007,24.104103330700273,26.860194252302197,27.75154908583556,31.12817570000248,29.46763071442978,35.430428431538324,34.03040807671214,36.3916737518934,35.283560899106504,36.23004885133577,33.95708117980228,33.70844571738912,30.847253123998108,31.876720639465287,29.145831122074036,27.67194957768306,29.94455446007123,29.989919681702865,30.19230455079526,32.80217051715234,30.736447209284265,33.804537567758295,30.298035077380316,27.964633465282837,23.2336108366018,23.92476517851743,19.686169090873598,21.29318821981647,18.413982970626066,19.95916781120149,21.375072639026765,20.593047292019754,22.428371738193448,20.990893901460705,24.60278372302899,20.34742533247398,23.538674460119154,23.577484849343772,20.060751450132166,18.425882017153754,14.216286294509988,13.603901842353137,9.349998511113712,11.13244120673113,11.386909792845033,13.064824245542429,16.44371745871455,18.51311445803365,22.7522832133898,19.757943809194277,17.57443092329437,14.032763089267663,13.110350382982306,9.95321673011228,6.490354278531936,10.237196361902669,9.04869293761516,13.132351650581041,16.30070895099856,19.969806509378188,21.455822959968053,25.32708565616279,26.153944206744548,25.496316607312046,22.703614775251296,18.409103887879752,18.38490881084867,17.052771448505126,16.370321406469294,17.403363516690526,20.56538875923014,24.68025869527722,22.840544112578517,20.15228921395822,22.62425937431767,20.15855842069554,17.10096448799641,15.326966486103347,14.427651687281376,11.041759315309122,12.788428140852238,11.967664745641855,16.834696641417516,17.1091499654224,17.255233065199967,17.53543141332335,15.398297279603192,16.344661679661986,17.02111966171871,17.38485375676228,18.057853960093464,20.788528022261445,20.529619334342634,24.521926478059044,25.976392016120084,25.039510333822722,26.864436826438343,29.36296682832948,27.162997943071286,23.509238600257287,23.091072105623176,20.714082073164,23.084147715136986,23.281347238080322,23.60971281405995,24.01238472047956,22.225384640082765,27.324629091144622,27.454811179414875,28.279925263301735,27.57473327201987,23.52433960429621,28.51353960236227,31.34507248646505,28.82538345240425,31.621559107492494,30.382054232403306,35.107768100346625,34.058714986409576,35.07118875297181,35.99165709011939,32.26596191350909,31.909874993511497,29.687705291721258,30.063211379450486,30.817504303811983,26.379162624697315,27.289055936305402,25.305782404148346,22.704029609391778,25.965858130232853,23.356549540418296,19.770630647607657,22.583047005754004,24.689697453512174,20.23082270748749,19.301913562917566,23.514399272101958,23.90179284460268,19.06825263812713,21.55520187310066,24.300082754119668,20.932105020287338,19.719201006672925,24.575959170542884,24.53271199348119,28.54099817914676,29.824223225251178,28.46656590792492,31.177589134523334,35.40111039744874,39.11405448314598,40.18310597279364,38.948425481683074,37.34016271345469,39.05461368648862,35.670052720836246,39.87256850964224,39.84854325428358,33.57634532955031,35.19783653437206,39.28851748240211,35.99741391692804,33.07697474906245,35.88209405131069,37.6251937536116,33.880728141370746,31.395787945114705,28.402469567797098,28.645442200592147,31.743105716866808,30.698603331193944,31.771565786976893,33.87207594573611,30.239091207840808,27.367471425528684,29.721879211683646,29.48289023130709,24.49115429354981,24.907858929639605,26.621729275660392,24.252561569733846,22.60269578504885,27.688071764756202,27.703786768266376,23.879596377416515,26.60294263827441,30.44893027393005,29.74597644382778,31.721017507232908,29.915493689659986,33.91445957697891,33.7027325637951,28.297375257264935,31.145369891399955,33.83942243066132,31.24073082991498,29.253839875531995,35.28038670206257,35.32438658292841,30.304930936151198,31.873968007171847,36.98312237455837,36.26698239116791,32.582878573256565,28.459513467122203,33.152567580005446,30.259157620193292,30.510755026761434,25.24741739373707,23.30915350981941,18.790871029240073,20.432574453160537,21.123606245820863,24.512000517483095,23.636919431810444,23.545600895383593,18.310014049222488,19.66429065336736,14.723714158772337,14.296437922973146,16.41228539068129,18.82632121632016,16.3995530684218,12.801048215426809,15.503798888798116,16.269677843897632,10.993591890679333,11.511781177116381,16.55029220904054,18.083505263110997,19.670410949473336,21.34288261935357,22.77985314308932],[11.940477797527302,10.203547597415037,10.09607116464889,5.606881456891793,8.710576308879062,5.823968109950677,7.615030640402645,11.418771625905686,10.850514205235859,13.082422271120853,15.97761372866344,18.037738875635796,18.167354108955998,17.10040874607383,21.95434928410044,23.049779376363805,21.955702953377997,26.52872542852946,29.158934907573272,31.234226318574322,34.762158840472004,38.13522850417464,39.39968782758869,38.67004661611343,35.57824724477797,31.73141793136229,29.20598417886592,25.334034704534208,25.915563336554925,25.12207915270922,28.673442847683116,27.48901155615028,30.98501468645491,34.86082628290256,32.51522797457871,31.03340731988478,29.547783885092755,30.581907340736528,30.16944319646366,35.43534180397221,32.85838659455267,34.42792578535282,38.666816788664526,39.1325541545206,40.15452594390148,38.74146719523615,42.96823600927155,43.123806884310866,38.48686547728465,42.1880510208943,44.8199331124916,43.42785252417348,45.899715877178316,40.68068058678416,44.0833865223473,47.62084233888044,44.07724559090304,42.71272918588556,47.63654475708979,48.18627465527643,44.11788981721207,45.13058254928919,43.144879522208186,45.08364432540562,42.85349532133999,38.878472285186724,36.47394954856595,33.178533252367075,31.140484207140005,28.67862786075659,28.384827235288046,30.972629426051878,32.29419184463357,35.660589019132026,34.32423042845598,40.35092259332679,38.94805645059652,41.452328462384116,40.26754057437605,41.058951498511675,38.745896350668154,38.18493035962539,35.33055685821799,35.97474424284582,33.123104574246135,32.10227582772501,34.5369525912477,34.844753431089806,35.085128785933605,37.90501231859759,35.818167612862325,38.86451330341533,35.370895518117635,33.08547727433093,28.34745165393405,28.890987720090582,24.619998585047416,26.40369947406326,23.458242179429988,24.571831493015196,26.315053517441147,24.977261558379567,27.04075495555976,24.922488475769903,28.050105728045494,23.349109506003995,25.834891717793774,25.341828662113205,21.311061255602826,20.525469372472223,16.09197233539754,16.600925604146518,13.11252927847998,14.674536035064133,15.712451440048685,16.582703509757707,20.36743575547143,21.697522101371785,26.428090757812832,24.013003348853864,21.47317252061961,18.105768316480006,16.138931625894745,13.277178034803546,10.15539655094118,12.507254796630605,10.868898442664118,14.977170141570424,17.651968056088172,22.050796137355235,22.325546470847883,26.42466879608057,27.49659229926206,27.63425542247436,24.418894944815218,20.385775390837928,18.946981715292566,18.352804125452572,17.72348552730369,19.786732168339302,22.60893807057353,27.14759737081677,26.033680549403137,23.41230149429042,26.238467521705278,24.355763595118436,21.119815296919192,19.788843469956642,18.672348212398926,15.599919531956626,16.616135279245466,16.0983230363779,20.449193620479132,20.257472313779555,21.320256227476055,21.915936140529755,20.171505751359614,20.63867496187755,21.769920314399844,21.306396475155374,21.68098203197913,24.957077579123126,23.88191978942532,28.159964601262505,28.752160821437837,27.213572146941363,28.623195637481636,30.615661513220065,27.921274347335924,24.531797464989005,24.429551828780575,22.795210088129032,25.82704889753537,26.530870904712298,27.39363830461072,27.982891661133433,26.718783025796238,31.658196691436952,31.54246044382325,32.060310553964335,30.909054782809964,26.635547364025623,31.172744833807972,33.802848095443,31.351799589473252,34.65410708824705,33.816122899978076,38.230338526820276,36.73599306051172,37.520291465226784,37.96791354576525,34.44598200783109,33.48174455392671,30.974349290011325,31.095327888092747,31.300584864556132,26.597584746370483,27.391427746799156,24.73907732333292,22.728812621085346,25.33624218929156,23.146804864175618,19.467478902580705,21.157153172566193,23.346773769965253,18.91108652162934,16.86644000141135,21.076792383025875,21.988724989000502,16.38105221543552,18.262171917339817,21.20010344779403,18.021542323243168,15.894402108132464,20.61673887289968,20.60809427870511,24.94966097696343,26.076177598353823,25.26676694698572,28.10072668016289,32.645502551007915,36.1617318542807,37.624785590700085,36.9888439827459,35.74409641559574,37.91677928544406,35.04244787184435,39.22057739041369,38.6006562186015,32.412826884737,34.61401038585639,38.35722582510327,34.6278064188495,32.14811305595226,35.39946127034033,36.37523598597929,32.34950717807489,30.809471574277726,27.417241935444874,28.786227815860933,31.747960129314126,30.464898787414416,32.16848364628364,34.05086045341539,31.062420618369092,27.93020176477602,29.498999701460463,29.767999352690616,24.943070758388682,24.357937437295,26.0932973653137,23.817278606514083,21.41087556236845,26.304369520782256,26.40278854371622,22.15974839857125,24.369549278006836,28.342232893705514,27.5278991141771,30.018047250972913,28.707693584298102,32.59384103783648,31.668412348365187,26.233140635532845,29.612157077889215,31.71740151698524,28.76822115012315,27.265262328106562,33.29626338909189,32.654524520680475,27.615315453622785,29.835914971376933,34.67714445729497,33.38721500066346,29.62979209364496,25.205644516217138,29.64454071076704,26.380460803226015,26.5132201503163,21.147155005486795,19.742243385293182,15.013385361148746,16.230953670339886,17.522796681894985,21.073415675667146,20.8839872804245,21.22295184542053,16.646418161565194,19.10014224812233,14.590594980205358,13.366536050620443,16.881090863741292,18.855375595750527,17.543563548883515,13.238081719926358,14.425044152365956,15.94209295048955,11.812511337679704,9.696898552681546,14.657923564232487,16.508349767523466,18.09546891472412,19.651338114490695,20.796665866311454],[16.63584115785097,14.310902701377824,13.332332331294769,7.480540319487266,9.127525166707263,10.338917895926222,10.578223163690025,15.069481118883601,14.393637451608244,14.67458945255628,17.944756529012942,20.906088873891726,19.37312491940751,17.649822176771178,22.827490379998945,23.884681805240103,21.539070596035874,25.74190432877073,27.25096984543567,29.611064532384763,32.65656491562341,35.953452005698736,36.776672374507754,35.506670640494846,32.72369120675802,28.977810238597332,26.872022684757344,23.455571173265565,25.082785792202834,25.363041195798832,29.176847943397313,28.767123723236068,32.62870417394246,35.90495891279208,33.19884888624649,30.939801335632644,29.916874205754915,29.633957683094366,28.659631133273116,33.93723563615236,30.45251778144767,32.31813479208516,36.69113375692926,36.57531392373555,37.01685553020386,35.359262325057024,39.51301236883899,40.24363191513437,35.87667418015786,39.25196166996574,42.40941940178454,41.451701490982906,44.125503852216234,38.96673652313077,43.04636123602071,46.109132216027355,42.25072613622649,41.57174999054985,46.49744318998834,46.33427183959449,42.37716645848616,43.85506990634069,42.27939611776894,43.60517309681292,41.06631810438429,37.469896591680275,34.84160463842577,32.15895289009914,29.65670138167134,27.965576379455097,27.14429753726834,29.79244708696927,31.635993276504728,34.50127059786655,33.86603610904558,39.957617239576706,38.360434127820376,41.44877151136165,40.062062423732556,40.48002657151181,38.59400967234397,37.56014963876151,35.45305416976474,35.54088302426171,32.12062785535407,31.63489970886173,33.726735009082674,34.9861611211923,34.662263862746066,38.33078342219813,36.03108133300974,39.18115230865131,36.05737798466521,34.33619480692727,29.63391843454436,30.549735209521895,26.281439286028135,28.557832708708172,26.076262097206726,28.19611362325622,28.719942896498917,27.884818024725543,28.777992882516354,26.984208711023683,29.11272038563686,24.681142815563934,27.387735925794843,26.135169454962117,22.41309634784205,22.391568140755073,17.976716868125305,17.38481013381168,14.434497283194943,14.068248463069713,14.966256140067056,14.285810898243609,18.237897824269055,18.393995706098785,23.590032747613296,22.267742540391964,19.38682809338558,16.55697253123654,13.178335854794454,11.092484270024414,9.464708148328626,10.759482841366406,11.92202962472377,14.707896322038655,17.675868187430968,22.030856912171185,21.540953034876377,26.032448779199484,26.177959602421243,27.12321548758574,22.823844742460004,18.73829002409179,16.576427774613602,15.089866911821472,13.607263322607897,16.411487875544168,18.178838073196957,22.9760948082173,22.686516437573253,20.48896382575592,23.802967690506293,22.926771341084645,19.627214381335698,19.567513688717334,19.238667622347872,17.34867040533424,19.394031403660865,19.95160137400236,24.630189968789686,25.352892759690004,25.725406614317436,25.606716543421342,23.032143704259664,23.333003489436397,23.410405109088753,22.516424600782855,21.254525965536253,24.25474521121309,21.793703618626093,26.463707866400892,26.18997563376407,23.724797986051573,25.470199509041286,26.76148882274366,24.24769573683667,20.75026507778629,21.41129964760978,19.986690575544795,23.894262959635093,25.407028459347305,26.90122794028889,28.394368876386753,27.30956575727718,32.4904878131436,31.393888326446746,32.12595192793153,29.94435380492258,26.53125262038234,30.349168638549198,32.45292303258783,29.61479180932361,32.655623384797664,31.74153641003274,35.81526423525861,33.42737219517691,34.55830894005284,34.828598415438734,31.7764170985132,30.82917570817541,28.60343850082684,29.164401390871827,29.617842914854762,25.04424877333719,26.695133738461074,24.42368327256205,23.342301679223034,26.46190580840387,25.196034275392645,21.129882776214366,22.333454024278122,25.46240450356814,21.661749056706306,18.28947853079104,23.030235729756658,25.26703092272597,19.599402992929445,20.841762035214654,24.385861733204663,22.069980619199814,19.188363921414638,23.39936479926245,22.58009278721197,27.619599049858213,26.979151127140522,26.778587930249994,30.209318585337822,34.36324447976794,38.228886126397406,39.39929681199142,39.181282575624145,37.63372410513933,39.81779845516327,36.96092984051846,40.63579764083865,39.81402274370829,33.57131911494392,35.607935065775266,38.7823230598397,34.84984733660435,32.316108187273706,35.285558041505155,35.72018674380143,31.609884864724968,29.843790195845575,27.32784926010159,29.278310632768655,32.61003562645856,32.21205680232783,34.24215177698872,36.84646326768767,33.82024891401641,30.369997644159145,32.48372585216538,33.37304860489526,28.42243044951287,27.7244695380695,30.23105151565635,28.353227724717545,25.545037577838187,30.327784957221105,31.01304094998425,26.9740894833075,28.450824719895905,32.35116874693061,30.962491841529424,33.3065740286508,31.71831450807487,35.16935521515969,34.31323602726295,28.622395614971424,31.53906323702836,33.369023308748304,30.343571443902444,28.24525347230772,34.12656073840958,33.236382658143235,27.881017866177917,29.70554837398182,34.553304000945914,33.03200804748734,29.02790752402977,24.583105734387555,28.482702038932626,25.091358466748105,26.346816433382465,20.885568014663516,20.351975546694568,16.360417597714804,15.90399190235295,16.712963853148096,19.585899710503764,19.401201501295272,20.952771569259987,16.43551136310812,19.208431542228613,14.757734771468192,15.378888873262753,19.730036923500737,22.370705675000487,21.662659910546495,16.887317758616668,18.54196797560438,20.948869983724254,16.81862107755674,14.74745351241784,19.725147992118735,22.049517179612074,23.49620275229411,24.686356285906726,25.492338108963462],[13.954397526562818,12.195207267139862,12.719173009149644,7.063307488275227,11.301535483740306,11.487952920393868,12.969664133571609,17.188777430765082,16.223970825968788,17.367497882814174,20.245850524916207,23.049456644111704,22.47222175312624,20.50688127462294,25.651653681935205,27.03274812232279,25.141589305503047,29.38112974182157,31.056798135847114,33.62556749791849,36.66972947649091,40.13432944299916,40.893963126423316,39.6639080653921,36.98364286083388,33.12112927678767,31.12678053558709,27.59985687850168,28.991795443645813,29.02251313042372,32.404446250685034,31.98878553126504,35.594444100374524,39.11892601421022,36.688504494330914,34.66553969862782,33.66207796340651,33.757360815090436,32.958299508443204,38.302015391933,34.89532219008736,36.62542692925153,41.03162554462022,40.99445017592904,41.430405642597975,39.81124893713518,43.95718132841445,44.70364883676014,40.36005178538257,43.73440282693939,46.88813634752773,45.89476168397906,48.55015213578634,43.37466931925899,47.337016398558774,50.47039169865167,46.61578646315964,45.797752825968914,50.72690842873143,50.66527341383049,46.60568403129819,47.894293142510136,46.146345767682035,47.50685584672645,45.12884621383343,41.50112175836068,38.63576989131001,35.814437148652466,33.123629079873226,31.116668519027165,30.206374872108142,32.528696515020535,34.57360611146911,37.768377004890084,37.19557575103813,43.33284360371696,42.0578257642625,45.011502140439525,43.84426977347832,44.47287321171081,42.57119716568988,41.73051421891778,39.43078705502587,39.68776462089095,36.395753859871206,35.75718663987464,37.86337588239042,38.84925461881632,38.529030326495665,41.867478884970616,39.44541861600689,42.35963809602099,39.042680924839644,37.16478413809653,32.42617130981088,32.915007173163126,28.59902046315151,31.1250892158135,28.52691207917311,30.2129083111822,31.561807669150376,30.58168108878569,32.089810177832746,30.120375623579683,32.622373637437555,27.961433727669135,30.350576693076547,29.218075724073298,25.184368701499714,25.164728481319163,20.693415272534367,20.877203012086408,17.766910609240508,18.102074381272317,18.894338219177445,18.508675304941114,22.329897476419127,22.56260176295054,27.471078938486375,26.002513515271325,22.962347855813565,20.07853876017718,17.009246465265075,15.083819900797726,13.241272714028106,14.982633178588063,15.031760067807564,18.317149935971706,20.96526439252975,25.56838689707462,24.8404554011509,29.257193961163495,29.81349641077125,30.82613788384525,26.729306767642473,22.793090479822524,20.28492311266492,19.338102677509415,17.987021713462855,20.892919925420703,22.465458720619978,27.288669101060815,27.0485757501425,24.925972160904255,28.227406379371846,27.164833698457997,23.878797065254503,23.509993985311105,22.966622566824935,20.539497902811892,22.094191121864036,21.969418006467357,26.450978441279084,26.281564709078573,27.195585967966352,27.729958532187336,25.636942942860472,26.130618956803048,26.70162353927073,26.010347635882557,25.31035288338075,28.416841468305282,26.21748230808943,30.849178730786324,30.613037275262595,28.134492664418786,29.708164347154117,30.869973094636634,28.148065743241144,24.84661321293636,25.516772184753343,24.328322367343215,28.205149553358815,29.62174861017644,31.017546110704732,32.24034487816474,31.092982650737348,36.21893839791071,35.44635395984636,36.081760872763,34.134303632767335,30.401229367594006,34.3219382964064,36.50657313217775,33.80060885267259,37.02190699974843,36.18024691314394,40.261071418838924,37.87374084393005,38.92797510475983,39.07189123490785,36.03473829174931,34.860194728926196,32.46708234697516,32.791601557566175,32.880717744580956,28.176370830219057,29.47831570485093,26.700552060847674,25.674091110169478,28.141641296204334,26.77760768820505,22.90406825355507,23.52957071712137,26.26334744891858,22.306394790739056,18.727007830032022,23.083218170912488,25.10054523735099,19.027422214862412,19.878454729343577,23.194317591391155,20.712282621707345,17.34019952483109,21.39931160089889,21.03454653276265,26.014471344487543,25.94797375714077,26.153975733461387,29.38774106864872,33.96197363122165,37.42081823726819,39.09449014975203,39.22999143653524,38.13763320536651,40.64713025519147,38.17532820990195,42.013285210908826,40.84982476334018,34.76043232339891,37.24940793886683,40.36465894616593,36.21780741068987,34.06119743745999,37.406640679854846,37.4625540965822,33.20746994531894,32.23027387490351,29.19273909808084,31.638191429517573,34.71297978524043,33.80911410767654,36.05289473935605,38.16796494642962,35.5444917883254,32.13914410658963,33.51304926540953,34.370083669423,29.638025401936606,28.430187128677247,30.480032190289084,28.455127072781597,25.458557060388667,30.04180046879344,30.40801645423693,26.00674468200175,27.472189668441136,31.429227893917187,30.3034731544574,33.11751277877908,32.081123597174724,35.606580792516375,34.15389365295988,28.664072335115797,32.16015999842837,33.59481609378629,30.338523812489115,28.936821091209698,34.78574241617526,33.37973538732027,28.200871373769044,30.717077163977855,35.25757096659652,33.28164164072354,29.331767827044867,24.64780946617547,28.31669993940271,24.53202675722503,25.33755205870542,19.871269331118913,19.81566706995669,15.51819756489927,14.896131794605234,16.62453792414869,19.7465543202854,20.342750476336704,21.946558939730476,18.124122134748216,21.459559011742893,17.380757604283346,16.840310298548403,21.419048381345373,23.452020387216923,22.936975885591036,18.244358090208717,18.813743237578496,21.01679183180578,17.533901213482956,14.324573607243615,18.791994167050056,20.75647284501855,22.132553386508445,23.291263575744264,23.821810144519322],[15.317227485476492,13.745106316366668,14.700746817746468,9.447386092091678,13.897852533398185,14.892572891096824,16.52939718246612,20.788216000856398,19.79794931171226,20.76641878554648,23.57124728639479,26.531897012485558,25.84125258188329,23.61630565215979,28.787926993648284,30.272820094526182,28.149101819647694,32.221990145678866,33.49407736792794,36.243332291798666,39.05350346928491,42.52315931627946,43.04945327573184,41.58144263146601,39.11638305994556,35.29815145170189,33.55301621909333,30.222598128495093,31.91889099218203,32.23227607164182,35.527146791644306,35.36389064062112,38.97879679011444,42.3926998192661,39.95044423702073,37.75455628177774,36.90751279888677,36.66612332315866,35.70055217549697,40.998730047833526,37.28232939016409,39.10975228040623,43.54880299242161,43.27063821262024,43.42524637894894,41.684876924697775,45.75520650005334,46.80060353119406,42.59662455009434,45.75387068611446,49.15777325811586,48.33191467040923,51.08729267312669,45.96387826256655,50.15900729869045,53.124574001987554,49.168544339911335,48.59940184900812,53.51217177150384,53.18572953462689,49.166096560392965,50.58078400860253,48.94181054594317,50.051812288404314,47.61751497319439,44.15903055869835,41.116896116076354,38.51459701905984,35.56457130686072,33.7496533430043,32.58414483549105,34.731410982082785,37.089172074970364,40.208935451530365,39.96636548785545,46.11681115157091,44.91375358980591,48.02736319683638,46.87329282705755,47.430559115751606,45.67517508265269,44.70532838100602,42.597582142610975,42.67442878839309,39.23970255390249,38.793999840946185,40.7982605997786,42.033550460787225,41.528989338229934,45.04105373204606,42.50361034194281,45.33960453014788,42.08977563925765,40.35570301491514,35.63721804504978,36.060441461153175,31.753288958521612,34.52871318379662,32.02738485630113,33.79818974289956,35.11746576317295,34.168757399388106,35.570893381369444,33.55796381756043,35.80910495877886,31.12502008976558,33.34482394231442,31.94428629620297,27.88367409682519,28.22151361520922,23.78796878915008,24.051073628946806,21.164535754763882,21.195052468102237,21.976043404313067,21.160813718111356,24.919747433309578,24.669743862518114,29.572979663240403,28.544243806021235,25.346462790195922,22.72486275681047,19.309102739768658,17.82570734326343,16.43485702708656,17.80944036526211,18.19829972830591,21.16251876233436,23.63341096075964,28.30781490549771,27.05934577187122,31.52617079569059,31.94819341088576,33.38785392014453,28.999811419753183,25.24342698187092,22.207439798309906,21.32298267261338,19.78676193713162,23.039539837568817,24.021133333645604,28.88283165671178,29.101505361062205,27.223410295620624,30.674566817787433,29.9802566486561,26.711266443666023,26.67562395435349,26.26638415216659,24.03688083428884,25.616847350815167,25.581021958537136,30.017241179758756,29.74243643854247,30.755826375455218,31.346677571863857,29.233360408072965,29.69248027808083,30.18384903338275,29.346524045278304,28.327276226003736,31.418201961545403,28.783787496568557,33.50301785871348,32.84556103102244,29.966233996302712,31.488189460719642,32.19955277590041,29.424674270033655,26.31097927419586,27.318634884770436,26.46287425941201,30.653187730755725,32.36219968397957,33.98991277036962,35.41910306476725,34.38201122054254,39.51739063322637,38.51561408686637,39.13624952969625,36.879601166218,33.317204284816725,36.922681881230744,38.89566414392934,36.14721075838176,39.393958712432166,38.62846666954749,42.49490333986285,39.7143693724888,40.81738983063572,40.74944815089721,37.976674559336146,36.61810733373135,34.24769233024785,34.58579446061407,34.50773806869861,29.84309221009028,31.269006186316165,28.359534166161367,27.830219674595607,30.03584565416976,29.065259668265796,25.22023734925172,25.218323180299866,28.063547871363667,24.391906498347236,20.19185984839504,24.381800912368472,26.839971106375003,20.660353123566566,20.917355969362387,24.26543757410791,22.184059782477195,18.275372325866083,21.78337820657807,21.317306162747343,26.462121000495888,25.864808954538603,26.676815511282193,30.00555720883863,34.591577528091676,37.89574516661505,39.75382504916252,40.35414794210022,39.440116455201824,42.1609261712745,39.99617231452582,43.66372171630811,42.16129758887792,36.22291282959552,38.92542204094709,41.68182370988562,37.32305808946011,35.442352793990295,38.88161682034495,38.388347161456416,34.042436264333894,33.55277892027553,30.613836352805123,33.65568220808429,36.68546817761328,35.86382962754316,38.39722608419742,40.506420921737934,38.171967503004645,34.672639939079716,35.7832522483961,36.91946150032915,32.31871645219637,30.726749468090123,32.82429375819235,30.924575589095816,27.653500497265597,31.98080390404456,32.43021463428365,27.96869569560679,29.029537125777374,32.921451969363545,31.694350966309514,34.70922370527993,33.922549093618485,37.237646223223855,35.42557853523472,30.033701158875928,33.64052309218329,34.63834228076658,31.235951746394257,30.053003214647084,35.703868290229764,33.82118604270814,28.707655282253288,31.47255844891148,35.716519274942314,33.3175052201468,29.353451138020574,24.599282529450925,27.711318048357214,23.649072338610466,24.70835888634406,19.37764793490776,20.1540236226928,16.266282685997858,14.673406944259538,16.717635099930995,19.49022481184356,20.65826158595312,22.849480699815693,19.699146437258122,23.433411226683734,19.77309027981836,19.295723559790524,24.239726283284906,26.142410503741843,26.040256336632567,21.26297767036392,21.368152725364578,23.798820305289787,20.761191669303734,17.02721210794508,21.06603808185591,23.011202980725738,24.236982324703906,25.171045572418834,25.360988155119035],[16.413204888548155,15.845236104236376,18.04612881568741,13.571914301376852,18.667163778047062,18.79456933726296,20.693955287700224,24.640570498155835,23.12454948933293,24.306555332245903,26.64980163214859,29.644299320053896,29.557757744016598,26.902402615196753,31.951934292007834,33.805830046007564,31.946590819070416,35.88703810734133,37.11365885754809,40.19329888995121,42.86875444071828,46.5702307954686,46.909178349808975,45.45932010676813,43.22354636029702,39.253263465219355,37.781521126747734,34.396626766705324,35.973790512523,36.267000890540395,38.953082261358006,39.09297072393553,42.42474348781577,45.912973630465366,43.787833550079164,41.68990054772237,41.09865621981616,41.01262373165988,40.23398875498131,45.72671335102898,41.89485344831093,43.44058593874239,47.95946305690912,47.74375545154882,47.81089009601598,46.21547050588829,50.25850535747294,51.34339461093941,47.31236530367258,50.54474257130433,53.942102142406455,53.19760623369565,55.86124987944904,50.70963381828663,54.83323486795087,57.728452806836614,53.65994100671132,53.005439210584534,57.9030432552674,57.56208142674235,53.363542135110166,54.54698003210699,52.745793725594794,53.73452283205221,51.50807807874295,48.11635071387105,44.67694102518689,42.04921445190861,38.77830505382452,36.76364052038653,35.39953208061782,37.111646039047166,39.779521196281856,43.15636756494911,43.1725446527055,49.33279664964559,48.561314226045,51.63152308666229,50.77684404979374,51.57119697357915,50.002099852262745,49.28019083555532,47.19383418886253,47.479190200621424,44.05598980277474,43.39176749574404,45.195424986487225,46.29750473550252,45.54263666208346,48.794636631672624,46.00711022742577,48.50126125532035,45.14395613453024,43.417147656073766,38.73927732928144,38.72698480119901,34.46357978725256,37.690685075584774,35.29294327882255,36.9613145016319,38.84424273387381,38.11797673133574,39.83007408245402,37.985279598930894,40.584786595150966,35.870762674338714,38.06080575641398,36.80517802242005,32.644586778698695,32.85257652539452,28.408937728016546,28.842429716952996,25.694484923849263,25.937073820957398,26.295998800064297,25.539667829231842,29.05386178416572,28.76369950603971,33.22462320320867,32.19253053089658,28.8205405515865,26.31560470887072,23.17058014150357,22.026991014111044,20.805943297289986,22.735296245907783,22.945137270473428,26.148958130397233,28.603660181781237,33.31243307398284,32.08472215807589,36.51086806839887,37.045037399356005,38.464531813993375,34.132264600049716,30.357528418202776,27.318525379993783,26.386305914482403,24.656993238089427,27.854434972460886,28.405303459441434,33.21746685554278,33.451728715707524,31.794371598025833,35.274072590208654,34.46444259021133,31.26032276580967,31.14518475628366,30.83667644759489,28.29310372283912,29.821040327629543,29.188079034961795,33.55562768924486,32.51194943562707,33.6963259721765,34.82699777290736,32.97288177825763,33.788781992973796,34.377897243275015,33.959021516303515,33.186899420546965,36.09711668246373,33.625335733800696,38.34267318207656,37.821184241729604,34.86104220608235,36.5167494733974,37.081489575156006,34.35755713645944,31.277738533140745,32.39819812210997,31.514171549806345,35.70890721012587,37.36370802965091,38.86104132551556,40.18339115930641,38.906761775724625,44.11240678000763,43.30052726548881,44.0094739496079,41.89256102140225,38.29979851942217,42.021482191568,44.026038102132794,41.263983334982164,44.42462881249718,43.520112827056884,47.439123064542294,44.53047586114843,45.793918239227274,45.73761567028449,43.039132883048524,41.693792942054685,39.33494638703363,39.64881840117071,39.46027330304937,34.78205586837163,36.087390900618594,32.97750961485996,32.47542987782558,34.31388368641487,33.26149207825232,29.593224786032675,29.30171532328075,31.80839272466659,28.095643280912842,23.95989411141323,27.69280865852379,29.857381511303114,23.616413942452727,23.526330137199174,26.463415246075137,24.291118220250127,20.172734992907394,23.205843944218383,23.260301186798173,28.090618192371018,28.008861115577574,29.275106639516686,32.319795185199006,37.16956393838171,39.98139725591271,42.319166888488255,43.265411709258856,42.75035152664111,45.696201316885436,43.8402564632272,47.59065139164188,45.84253139537399,40.09605020342971,43.07422542915778,45.74265123248911,41.26789888815119,39.673455173439635,43.30100313237283,42.51471920948733,38.12041663769125,38.13125053244162,34.975678643146246,38.264670815702324,41.133079899683494,40.006121340019725,42.618346144999265,44.363301176738815,42.27501706984118,38.866424122272164,39.49187680261446,40.514033825386555,36.1121865713891,34.266730116970756,35.91373918894782,33.87976677303535,30.625820166537153,34.69420560070156,34.78271869517852,30.096919103339406,31.20222178765498,35.038170010385215,34.128920123562864,37.5005233075165,37.19268061019751,40.525829334217875,38.24370659663971,33.154407454902895,37.142501965909105,37.7914224658067,34.26535756554974,33.664099111224616,39.158860266595916,36.84081734304694,31.997292869565886,35.22127736801181,39.118972575975626,36.328591662011014,32.49442013434314,27.7007152601139,30.338823192472827,26.013076853075557,26.75592708170027,21.760833550863172,23.10366433955122,19.303473820988145,17.53406772684167,20.163243054355465,22.825929009924824,24.568475388045098,26.828012881150848,24.200119787540352,28.109874726995752,24.612511234507775,23.61571246214889,28.45564555157632,29.962308574763565,29.802740111327967,25.265898834853854,24.79206511929656,26.8243500498912,24.17698244194814,20.09148864385491,23.491638454438156,24.868877502873747,25.930570590830715,26.800804726039548,26.641623527128164],[15.609208630079724,14.263942003393128,15.788133686203253,12.086484382072065,16.891545947954846,18.74681183824466,21.143198568917377,25.324863329237985,24.9085732121881,26.3197296547936,29.18755153825195,31.892069313794423,31.37659875899411,29.404243778631876,34.56744233858902,35.948884543445935,33.82809710879928,37.94342186204843,39.11920311078247,41.75521120372512,44.52408563069037,47.82804182237645,48.32308590112514,46.654437686898106,44.21347582530268,40.57183418725857,38.79081113256735,35.62125167146017,37.45081705534799,37.71508661988618,41.27747065296181,40.8594707786472,44.52896572413968,48.03150182323014,45.48713129662612,43.32028357690122,42.236677908576894,41.949452948640115,40.76445899217292,45.75083448553242,42.06353025579826,44.253117336832055,48.60714525986604,48.09381999134818,48.09174820845598,46.05282117458653,50.02977686630289,51.35282112473329,47.06101502102804,49.831825661872436,53.49187096890782,52.65371194705921,55.63707001962814,50.61583378816735,54.98204632222385,57.98295629435706,54.13288589387849,53.76089083274791,58.66857341369108,58.23809772012035,54.42195543293629,56.05811458565036,54.54847950473483,55.632487229179674,53.06452859984805,49.6510137611007,46.75581083285192,44.24510240694847,41.327940736552115,39.610392214699985,38.41659539208177,40.53983844322418,42.96147474647643,46.02315110997322,45.80016531158336,51.940896844192004,50.61061993333042,53.735573807672225,52.44503674000068,52.85003012108497,50.92006310139353,49.693054378720014,47.463991842886465,47.25186981562455,43.86222133036443,43.761396543686836,46.014389996942064,47.31671353277487,47.05045670437901,50.65228599556168,48.2450743446049,51.16749528418566,47.91299925461314,46.10695703621171,41.37410926371697,41.798656671101405,37.48299320737279,40.062223970720005,37.3846589605755,38.73388833046114,40.25729380919024,38.777984218904855,40.411336368335704,37.84626964257004,39.74999822586256,34.842892111269336,36.4308339542509,34.70728859709463,30.48078571939967,31.400839511751084,27.13282414613438,28.14789443435327,25.786024617266825,26.01014544899368,27.359519233695014,26.489481899358253,30.378895304711097,29.910271120616915,35.02960399757072,34.22582151865786,31.05949234734997,28.49050109223529,24.88376720289086,23.357434114722338,21.79101723040982,22.39591064077538,22.16546063924124,24.885813851347695,26.732674135738858,31.588251143104053,29.50259795313277,33.81551881956573,34.50713866225368,36.490269862039845,32.10382563577154,28.841893771331424,25.015131128055526,25.003469949167155,23.889303579037207,27.516993140605315,28.498061671769175,33.35027356724523,34.011947145564186,32.101533198843406,35.57000182366529,35.155424775191314,31.844165448948733,31.82973738500026,31.099235921366105,28.950042506769655,29.973339784936268,30.13084874913887,34.16105740426882,33.75959674088623,35.342237830555504,36.022650563913,34.19610103456705,34.275163142828546,35.184382267396025,33.78585711046655,32.81391519186107,36.31428621405441,33.388701340544614,38.094539194776914,36.856280772765444,33.77750196961873,34.72757474718778,35.03712978990734,31.89709526636001,29.32312359886757,30.411574510836015,30.25507167781107,34.60114636692421,36.52533356967145,38.44712830587712,39.86440763216175,39.26485514023192,44.1672969302453,43.09399255929111,43.395251295534784,40.949410294415415,37.18147551894831,40.3736603533049,42.16835502315199,39.637226016542094,43.304152670700695,42.97298761399658,46.50771964259237,43.573135342118945,44.30863654837613,43.79258636359579,41.23030502182805,39.322240708675224,36.74474837769362,36.76265841467885,36.117349684121834,31.489240667275574,32.64715930990569,29.29392477758404,29.395403988296685,30.772016824717724,30.322957561944133,26.77510356319395,25.635677199406153,28.304286200819792,25.162186693569037,20.288120329289384,23.80508743125,26.729178115311342,20.63904559094789,19.88424034760181,23.048055097869838,21.750880523285087,17.208405067627233,19.56822386269776,19.02333283171929,24.142898871743004,23.006044744364594,24.692745119712274,27.952467240633798,32.554797629378285,35.4451038232022,37.67575734988024,39.00540852369953,38.52780901744357,41.62345187282793,40.106201199894855,43.5637613333987,41.46878996777392,35.938526272680846,39.108247270432365,41.34424679866267,36.70909874703913,35.43968138542715,39.1709161230113,37.84398417853733,33.42368012710654,34.05747143219353,30.89695129173773,34.876828943420165,37.59055180508465,36.593292541670394,39.60505043314766,41.4319785331827,39.79880416317779,36.23818498705472,36.58284114832481,38.167329310754226,33.974956511901404,31.60262158464679,33.63364656407043,32.01436621950301,28.301284106363394,32.01353105292435,32.602190837740295,28.181950934014914,28.44499352943773,32.111172513824584,30.76607660249123,34.100995830002816,33.868229605658975,36.806306128082305,34.32095381762259,29.296755413273775,33.164410652899925,33.38381927640301,29.80094813717136,29.270501654004413,34.48393880301644,31.8345695268412,27.076964735322864,30.433016561304612,34.037378233076794,31.00162317167369,27.203567560771987,22.452786225026667,24.764882737714224,20.3818727617273,21.31874248792083,16.463209123768,18.385819640994523,15.301128199585236,12.634582310969204,15.31580731897882,17.63139072532969,19.800374723428643,22.396196667119483,20.66010308201769,24.93757065402331,22.238806993024177,21.248145002900397,26.57564331727907,27.963429582797175,28.737984845952536,23.981892481974768,22.987879408976696,25.763277469218952,23.877281243785667,19.169684774504848,22.17861527583089,24.16374410312074,25.111693967788824,25.629651047374765,25.311167910382935],[19.161544646241474,18.364928393302616,20.347908166713985,16.790306956499172,21.606496606293824,23.26022646617846,25.542826888029737,29.698851209796373,28.875139394703528,30.094855264210175,32.74464916861105,35.665188441780664,35.21738931540304,32.82310148265545,37.96636703348615,39.59224402395568,37.38563151588265,41.30555536254154,42.160254044649506,45.09472516975068,47.616563935588665,51.04993268747688,51.27278667660257,49.46430239430705,47.309283312949994,43.61640704895452,42.169132723584866,39.10193791845756,41.08393689199012,41.58039248874184,44.76980376153434,44.74695402714438,48.30966696249449,51.723564110479956,49.31577356115543,47.0296446138585,46.244181000297026,45.750242859912774,44.56675783130757,49.67574295668147,45.679270772287225,47.72694687870058,52.15249281910754,51.51878215666736,51.27579009033729,49.28332358724477,53.18239689606422,54.708628769089884,50.655872984079906,53.360090829030355,57.1551965898435,56.51216596897697,59.474960043959115,54.472002520890875,58.960820238663906,61.76578684065404,57.75472952114382,57.51661141747964,62.400375434226085,61.7521281327753,57.85121887223584,59.44499408879588,57.93605604676237,58.752735976509406,56.258309570955475,53.01611208720946,49.77974509313439,47.42787494620478,44.17070125916754,42.51989472421805,41.056567350895094,42.86753086375029,45.63708634443457,48.73269601798987,48.88692406358496,55.03484256921755,53.97025735995859,57.21527329628654,56.09015722785374,56.56764381929779,54.89082729708243,53.72385281351878,51.70756953757739,51.509318606853846,47.991771149226906,47.86312681242372,49.87508604180469,51.31958972951567,50.727664920306964,54.355599021864876,51.71438581166602,54.415024633788576,51.18262872720871,49.52399270813118,44.82579931521561,45.03919590742426,40.751577200774044,43.75414984408517,41.24136847871425,42.76185044330065,44.40315811861724,43.20084369270267,44.791501487847796,42.43191939683963,44.377872850731364,39.521360871686525,41.16847128576649,39.39492417679733,35.198694196826345,36.14706230462001,31.865550848858085,32.72789286099362,30.234293047649935,30.26079985634438,31.254677345433386,30.129753629530853,33.823051052195474,33.04755675091654,37.88544838491955,37.369043335427534,34.02859146092461,31.69525202943646,28.03182923655516,26.940904127199033,25.77110862903205,26.630672167726452,26.780744876984226,29.451217043802973,31.369551597719465,36.18879069466548,33.995304505438206,38.32807984930912,38.85253479834842,40.998239646171186,36.426581706947545,33.17061388073244,29.260008156204186,28.98416046469261,27.542926199242892,31.222466063057368,31.563892330731434,36.35152379750343,37.26116589566136,35.65619906224365,39.2274537686825,38.97474480216017,35.72046266213929,35.92061045277057,35.43349651075878,33.27714964445384,34.50184829415448,34.443475739232184,38.565626324238444,37.85428893307451,39.379994461025696,40.269278170171035,38.41732757050216,38.728251278071056,39.473242032039224,38.303918169971496,37.16195173530649,40.442781868465545,37.33609645394222,42.0962731977047,40.74821217369094,37.39117826362979,38.51566038044087,38.4854088124549,35.48784920060678,32.977489157770115,34.34891458558053,34.22982109839544,38.74131908970707,40.804779241655346,42.76637327040965,44.31587157099109,43.57220902028892,48.589995761215945,47.41847221490985,47.84280292102992,45.25323029876149,41.69499717698003,44.78764532061454,46.455747680365825,43.82901263770619,47.33159791179587,46.87898863258703,50.329193293104595,47.05440780472943,48.00178544018141,47.433834715385245,45.10206794866012,43.22136266661735,40.76484890746086,40.88638841623364,40.23132840264947,35.70185329731148,36.98688251592006,33.64590659464426,33.98297716283174,35.22981691955795,34.9320637757553,31.44239231868374,30.064556896990762,32.67908949137058,29.679350974960144,24.710534055356955,27.953672913919576,30.913217896799225,24.904954919141826,23.841453901518076,26.755967271250125,25.6200599877816,20.975891167830916,22.74979684875142,22.38200777405009,27.2420903647608,25.958784187855887,28.16653068330465,31.290753537904983,35.86616128765161,38.41305895631253,40.89975121250617,42.630490875226585,42.38075381931664,45.6202150550545,44.35789792181909,47.70002355948629,45.37046817929515,40.042856705297815,43.336547099673275,45.305511276136095,40.57358154303971,39.536381604222846,43.28122722014827,41.55910678126726,37.1474785041603,38.11285151823891,35.09575521053806,39.35186006403401,42.019942570485675,41.04485399014275,44.16798991834187,45.91451845846634,44.437691563462195,40.87989697955127,41.03682851828795,42.669675629648715,38.584284388561755,36.065164028392736,37.9507221439417,36.32583241466969,32.5897971433694,36.083021303813176,36.55103289072429,32.07416696350345,32.216264330563696,35.765569698253174,34.52077044983764,38.02297660512108,38.06000184891779,40.86419805016676,38.08053750867175,33.29603753589665,37.249406750786605,37.11950032206207,33.489278225997744,33.24124044640004,38.182680284873,35.14183156095477,30.62779951574203,34.14465433463772,37.37908633314369,33.984502459825386,30.3183960816887,25.701558632111002,27.26772379630743,22.76883373258006,23.83688911112881,19.55491911376717,22.13071239920187,19.489004399917718,16.44576355342467,19.19411814144207,21.020386444171972,23.56410505990326,26.476944745349428,25.15779323077788,29.501646655825294,26.91712710203511,25.985888580148426,31.314939376922332,32.60965710079633,33.37827504708417,28.68302728999551,27.537882133100673,30.168702260767745,28.369740844199164,23.60314046726598,26.33289354542763,28.02258810557295,28.836656521985635,29.24512535924849,28.65039628022614],[16.192066794662363,16.0755262113272,18.939688283858448,16.37073290576017,21.801797926406795,22.586364581814852,25.41267632354021,29.212276217084323,28.518846824194597,30.42101457706598,32.91440541325186,35.43383482244454,35.68203470816279,33.54476554455714,38.58950037486616,40.231961158111964,38.52808483367889,42.67314456494353,44.06253863975661,46.88017464585426,49.68652459664928,53.18101842425707,53.649115497648836,52.08508695443537,49.71025384764234,45.91830505451289,44.20502708437114,40.871094421159356,42.43551748919731,42.45987134877492,45.5868897778013,45.18248244983931,48.57630245693493,52.291416388336685,50.04048179077366,48.11249362181706,47.07225457045704,47.1779515894986,46.212520500484764,51.34011310701113,47.75104907588535,49.73859540029383,54.14506855654143,53.78255810650518,53.839775954009056,51.908421188917934,55.90595571646536,57.16080140357247,52.88072673473624,55.756554613230485,59.338683797291004,58.443508329647464,61.36046347362139,56.28967264385243,60.48781470326274,63.57689528646558,59.71735660331033,59.14157155999434,64.06181806768198,63.78206143166385,59.81605816392801,61.21062674201146,59.49421733918948,60.64189824928422,58.26613198383683,54.79349537399746,51.6661544469938,48.987807295174036,45.931719348973395,43.899448206570696,42.67192172146143,44.48940703823601,47.03001362302018,50.40208181961984,50.201906970864165,56.360328789544724,55.36857080095204,58.3359351304176,57.28807686783772,57.935323015565736,56.002966134551045,55.024744648741766,52.60570528460154,52.631864914818564,49.368603695182074,49.034665048141704,51.27066494034439,52.27414819772941,51.99014864599516,55.233385924340816,52.703737821191375,55.37328450656299,51.94128872247174,49.99399672115126,45.27521551467776,45.2967311466233,41.0147253120069,43.78576658976573,41.06376019131443,42.03656333595885,44.27971707239431,42.77002182565626,44.92143091421866,42.3227866475495,44.64460637234313,39.6230863785721,41.03217709683337,39.543597333866906,35.16365104672032,35.910765581748414,31.68362189937874,33.11328113504816,30.523029786652014,31.21408268903153,32.358246424601916,31.775574879831318,35.56962824661718,35.291813973931276,40.130523077236724,39.096942203575594,35.83867454261715,33.19831304099906,29.93007788957692,28.424473029762094,26.695808148871496,27.817361274222307,27.025464940373574,30.124196776564407,31.86356072101752,36.78151399391436,34.780195921088875,38.95021416019621,39.98024963801831,41.83366820975991,37.71473672766755,34.46230857457937,30.705618790873178,30.86512802009916,29.768842022779495,33.298557975183186,34.25541118437548,39.111548824377,39.6339933335396,37.74151190145091,41.18472700944607,40.497850563173564,37.19201355670118,36.88388481474378,36.03991969030834,33.46201225395428,34.188034844010964,33.73668748526074,37.518405682563575,36.29596336638252,38.26794695701612,39.52565715732066,38.12550787093139,38.437786308654616,39.68908825345875,38.598684339523864,38.124349221840994,41.628609250799734,39.04085516462434,43.71973665486891,42.70441051868188,39.725326641803164,40.65891787812365,41.005335788053124,37.80431026177077,35.286881092888464,36.29226864392981,36.10566029429517,40.331105185850106,42.079555173709515,43.82070966067775,44.970393681720005,44.21733810303141,49.09970787975774,48.37278760344438,48.64414600646758,46.49776041999612,42.46850907800814,45.865902035906295,47.792384416571466,45.35937150226139,49.103501502779345,48.740951755711095,52.38110866513501,49.532837565418596,50.25965040140278,49.73701320671111,47.121790409106865,45.14208790968465,42.46788425690236,42.319574270602985,41.45379543719025,36.79669285327527,37.60783503063661,33.96117248895343,33.949485854615205,34.7467424865511,34.10813486994609,30.900621444267486,29.46154759771694,31.51402280378071,28.361751238131962,23.865816821761285,26.60409509576254,28.9401816642287,23.01704180468326,21.885880106883896,24.312833542256403,22.964468504788115,18.42404031238279,19.99529863973915,20.26255169239923,24.6349450445408,24.510829887676973,26.602842584384796,29.291112103236774,34.182505185583395,36.329276660590125,39.17928587813898,40.87928365002461,40.9773962040858,44.32752130369847,43.25031910304877,46.83783116100866,44.46973091711116,39.282140013308194,42.79981054850632,44.98992324075951,40.306319874097376,39.43422936873092,43.42198978590544,41.85866738104947,37.461321396752865,38.757288843898436,35.17862297378051,39.329575594077326,41.732538462691,40.21915662512083,43.285815469335226,44.531447223117276,43.299056984489766,39.91596872965994,39.53045227014522,40.947670394196926,37.116038685615,34.40308511845056,35.790490715858375,34.06155316593415,30.419207399633592,33.67208271286601,33.801741970028814,29.229680248076303,29.474464324773795,32.96091148305385,32.074469807202426,35.815014283808885,36.248681297633915,39.18228602177833,36.10720892523474,31.627092815912444,35.96114583763491,35.754655641133056,32.10475365316183,32.43714020359404,37.36856882806973,34.270479183681374,30.044368886593784,33.97583580946625,37.07977668323943,33.68357170634692,30.20959110449335,25.57724993560712,27.405216665939488,22.937829268942004,23.056876712705254,18.9351503972115,21.20691872903689,18.292613223452573,16.023049898786628,19.2547328106397,21.51368614885258,24.178825697520395,26.45233729055154,25.32809463033035,29.66786658050575,27.196375008558924,25.414740445978843,30.46581083714738,31.2591250075886,32.0435028596147,27.674550405144174,25.898103650168657,28.158497606977466,26.95203668646864,21.86214505286041,23.898493567223543,25.19948157490482,25.89379543992106,26.276855539357047,25.535478507631584],[18.276770354960806,18.483536064577454,21.499955764801427,18.027147555554844,23.491834834130437,23.446257519203016,25.76455245908025,29.493537917647895,27.97194079095838,29.49207245967312,31.60789142753235,34.44492167130379,34.814633970799875,32.09414865719656,37.0358934041473,39.032788558708084,37.37640589119382,41.28541542991098,42.513471987105696,45.707202302798606,48.325004406047896,52.095963743470044,52.34641024030733,50.858331888217045,48.73502624741167,44.74077190027181,43.3680826373171,39.98292413707186,41.49916341313827,41.70524093118503,44.15846638496183,44.31628436980118,47.483721954165595,51.07973838287651,49.11671591880026,47.12965365508342,46.55559370569451,46.608647723796146,45.87175290977953,51.364072001694055,47.522200175914946,49.04664393267357,53.578288405251755,53.33934396702064,53.3322676122963,51.711056808959825,55.71767445170134,56.8999404502721,52.90451491477187,56.057308349872535,59.52637819023208,58.7947484938553,61.48910193038742,56.344860834592616,60.464178339043734,63.369225040088835,59.289537611287635,58.62054327030526,63.51508911668549,63.17008118996152,58.93586861421438,60.045903596637906,58.17669752437682,59.12225787747662,56.98171740947869,53.620424217011205,50.03172052808057,47.39103118913138,43.99163014522214,41.8688447777518,40.424127312950006,41.876034241972405,44.694579130051174,48.21135256937171,48.33798428648661,54.482459677149,53.92244135409358,56.93355631116568,56.20982436511965,57.102146925135195,55.540896367609356,54.883515196226305,52.71143561915093,53.03150383364883,49.65596920233443,48.97685298081336,50.79376724594787,51.7940152457564,51.028732386303865,54.11877826087692,51.25648614072757,53.578006751103544,50.14135050672463,48.36025849449932,43.71655067402877,43.43729101197319,39.225790569335814,42.57274983514499,40.1474251461058,41.51917039705752,43.86045469058152,43.0182422117846,45.05351043280756,43.06473055383806,45.77349804450397,40.93697333717885,42.85856925253119,41.60163583825972,37.308879103414064,37.62656717336093,33.24203309582256,34.08398965704415,30.97857752598606,31.46237074875538,31.85802689884586,31.171872164092186,34.639376868861106,34.30879117030228,38.62698256332906,37.619739649851105,34.19637239371039,31.74038771513169,28.702575354617498,27.631520296980124,26.342907229609693,28.265194886262936,28.085000184555557,31.377069029981804,33.6023185428053,38.411604100830104,36.92817218310853,41.262897432596034,42.00938095425987,43.57716366230311,39.318118371702255,35.693246874265164,32.393622362504054,31.776662744536694,30.136258474962418,33.43460062952199,33.858299138001165,38.652829624856686,39.015008257201465,37.417557925112995,40.91150391979508,40.093609346524055,36.891892938929246,36.68548767864998,36.26493773930626,33.545470261397256,34.78661760967973,33.8784063765446,37.996281585214376,36.42541892933205,37.9682067096551,39.46787811983195,37.92177623243344,38.78030724967841,39.63682018157866,39.235981131953096,38.68158977671532,41.68509256484866,39.24250628122793,43.95951864607577,43.33702404406793,40.29600388096144,41.79953098505208,42.18593494693326,39.33545977295942,36.45556373500091,37.623134853351374,36.95747173550708,41.19271240299885,42.864841859594385,44.379460253124435,45.59611565432366,44.35003452348663,49.49788089638135,48.816013126613385,49.438068259433415,47.37568338235479,43.627299359365196,47.306673220531906,49.29787597419905,46.6235728580681,49.925328051538216,49.11366058002163,52.96835712619573,49.97486899723088,51.16910978160734,50.95852304605003,48.34401845593327,46.79335278066056,44.340473356668724,44.497804607388865,44.02518787810108,39.345048952248575,40.43751470225325,37.04193180409503,36.7289724774941,38.020712797592836,37.06684344506369,33.65126331787609,32.820700068156036,34.98069906357695,31.449795407171717,27.25351312544074,30.37776320990665,32.40639992343002,26.303830727981396,25.6760177225403,28.142270756224942,26.216217156508034,21.932758857396568,24.10996667591734,24.569508744768644,28.93861198817638,29.16981869280588,30.98605716261554,33.694707133678214,38.67458921027877,40.908920931851604,43.72085901023478,45.15237991153374,45.105668000762456,48.320416800470454,46.92960825179181,50.661704819648335,48.55105255002794,43.13086734243758,46.45041239764056,48.888993712893665,44.27896223024494,43.10535488257364,46.95719351796433,45.71851719763213,41.30366512613705,42.03864001768207,38.637234819263554,42.362661428589206,44.98391510368748,43.55483030717541,46.36558879858283,47.720196477030036,46.07266038160434,42.72973875810788,42.72499154562994,43.804325389869966,39.72886522761337,37.45087960520167,38.72266682746181,36.71658528746103,33.371587782712446,36.97364128138716,36.83601191990677,32.08922623204953,32.93091670992254,36.56920766482029,35.89013645645055,39.5887505415737,39.8364896844065,43.02831141850659,40.191000148209575,35.5355037471631,39.84639913212086,39.98340137590427,36.3636655754307,36.42830022686124,41.605893918807816,38.7590637730944,34.32585363098291,38.03493304212263,41.43005694704712,38.19903143123755,34.594941329678655,29.881881783387602,31.90262789598637,27.428934138972945,27.786504763743448,23.401140667826336,25.363277803015713,21.971340551793098,19.969407458576544,23.034326907375988,25.448779719962577,27.79036667074148,30.10515290187863,28.253985469550916,32.399116795027425,29.313457598343867,27.8133834666464,32.66203213533407,33.71025984807323,33.82687172351758,29.494714101598003,28.282161498926104,30.13768067566747,28.208249555034506,23.64793586043886,26.18279305876755,27.147699873329454,27.959527292468984,28.61514310665624,28.036918300986112],[12.576871754450218,12.617953999255384,15.812379734991415,13.107800509916743,18.857923555515544,18.737858362642218,21.631324364251558,25.229330924912073,24.438343137413565,26.607068406381064,28.99881576739454,31.341587259600878,31.9101779082333,29.90789316668616,34.86789443930116,36.50947240403431,35.115836159005376,39.373795984587105,41.14602856517407,43.87476156342611,46.882241093395315,50.43896482489689,51.1005672594232,49.786253010449634,47.24233049627684,43.352680250089136,41.46245174304318,37.92180469578519,39.160130588109574,38.901630732269055,41.93191789407479,41.35601299998491,44.64400555999807,48.48739255344532,46.345378517142976,44.62862043489207,43.50386131819611,43.992146104493465,43.24562281952795,48.475135132068786,45.162719886287896,46.97320502693961,51.37302235704229,51.2810596553919,51.61072418667104,49.84597652832495,53.93608955663989,54.88033765219323,50.49370194317198,53.638447297611066,56.95508842177476,55.904317516485314,58.68549484936373,53.54475265685526,57.47588132065179,60.72324844054564,56.93608961686783,56.07115162262924,61.00218638681486,61.004040368118275,56.94125528016219,58.13665556420594,56.259568844972144,57.64190785244833,55.38106061736399,51.747714257489406,48.69528299958756,45.78607674059666,42.90706413803444,40.62715314402697,39.59985131064681,41.48469790206091,43.79161329450245,47.31206629951368,46.838822451809854,52.98170518372963,52.031786373496836,54.81461352524565,53.83768979580578,54.62546428045296,52.59612031364792,51.826126790584695,49.21881414376041,49.49487940174597,46.381234938398556,45.787825627146525,48.066136571000136,48.77389802931328,48.61034122155659,51.59315747317241,49.12048591341799,51.772923084829856,48.244980591989794,46.15162893896317,41.43552631330504,41.39631280068131,37.12648409358519,39.76323473030611,36.976715628635546,37.80147319402027,40.25893391313573,38.77316099319678,41.13137121340326,38.62390850303777,41.30284934054466,36.29441597602516,37.8649992686457,36.69244635713591,32.281729563996414,32.63640364023576,28.359841665081237,29.80583675810113,26.967030345160058,28.00359247018518,29.049064877083133,28.852804249848273,32.63805734722341,32.780792841715794,37.53488568627907,36.08169770312136,32.917925065104065,30.070563033875967,27.16065768796656,25.38688678026108,23.352450873428257,24.882100543086576,23.712863260731698,27.162486686569903,29.055356849479484,33.943755754409516,32.45384380510462,36.61005550380853,37.80562148904878,39.218011339152135,35.3795848375103,31.920465041534147,28.618801965796766,28.69159962177788,27.67868589169326,30.932116464154362,32.31553748015576,37.1833070177809,37.26901431957864,35.19821903184555,38.519711649798865,37.45110714789346,34.15189350077001,33.512397806937244,32.5658360910156,29.721666907243517,30.360762056752197,29.627148336069876,33.39193055264782,31.997333495379706,33.96923780518763,35.35515201882652,34.086843359298726,34.529980982188704,35.907263513140485,35.076556846667486,34.98896038862578,38.4547867625179,36.32729010118909,40.92845250487361,40.370851775831525,37.74300412740422,38.794908588477156,39.574415994395444,36.41621548177169,33.65258948776606,34.379622325092676,33.84802180348287,37.80052116369015,39.25102523599545,40.725224232921754,41.635158496750115,40.70652627818889,45.58461011750354,45.148986411138004,45.46330785162231,43.673004624421466,39.46207164158692,43.22351344685676,45.38754826438166,42.97666923861245,46.66994109671916,46.17903180863306,50.071881634142265,47.58628990803756,48.32806867779804,48.0491045171594,45.15374691224794,43.38059572754525,40.6742597759604,40.522555315030836,39.82708655949388,35.0610973766522,35.740155267367825,32.1427214622674,31.590430627548237,32.60861484218972,31.486381145805417,28.24104010553628,27.385484226944246,29.280168948758003,25.688532123052653,21.74600832312456,24.706885421991593,26.49520482664579,20.410165003642728,19.878338169069227,22.309677517802804,20.282241655522956,16.03686961051613,18.51014919047052,19.0767301160434,23.441136720348588,24.202772506162223,25.59827959508817,28.215277704372973,33.306150779529375,35.64498956571724,38.3824735356963,39.54346688149683,39.48932909905335,42.665076117601515,41.24575586749769,45.11316196450644,43.099532259132985,37.66815582879571,41.03171935875221,43.68178764691748,39.16732168810216,37.98345088529234,41.949061641856666,40.985841061557736,36.605380656333274,37.40414651183114,33.61593080070899,37.195590279117,39.650583529514435,37.9511425765063,40.727758527365076,41.900173616728004,40.3731100738942,37.0927303802534,36.878823866125416,37.94336061737961,33.97012693458503,31.581173793667713,32.797194484201015,30.836135339439195,27.44045629734614,31.025668834587858,30.93584586278734,26.221036622470606,27.034475962818977,30.719480068901767,30.036077600681555,33.70672049630212,33.951605879571886,37.22297304674219,34.44647931039108,29.78085211321464,34.17878679265112,34.46450641415555,30.88223861637721,31.047497124475232,36.33371007923795,33.721307107204,29.30608047518439,33.100658050122455,36.62060265010895,33.64755300642735,30.08581294607677,25.339758793423787,27.963893403492868,23.647196268440506,23.448246711987483,18.82118637691146,20.172503570164675,16.451178131351046,15.163730386708053,18.38326882088674,21.25876242664691,23.42856025153047,25.156478827844836,23.325849374084633,27.4263526855797,24.540309566831343,22.480384502016086,27.23124597904858,28.0279323243479,28.386098859427612,24.141993231180876,22.544987079687534,24.481151824030064,23.00747587054165,18.10026534711067,20.389140706205144,21.56380093621132,22.444879172259444,23.13422680225503,22.706824433825254],[10.952601597856436,10.747790766158227,13.676177982666134,10.15654906957621,15.913673219862293,14.898002150393356,17.54266073059148,21.071079794297386,20.00944040606262,22.178801056743495,24.512196194422373,26.858883341156453,27.505154496365503,25.516423385393473,30.432596825871116,32.08749423151111,30.852223238309488,35.15019707303648,37.15797822956866,39.846604693925926,42.96911524245471,46.58677603579667,47.366541321085265,46.253934162666454,43.61294595135579,39.64067737637992,37.66463506802241,33.98082869596336,34.99493683645507,34.605748397805264,37.52078203416972,36.93434660844383,40.1709153054803,44.03473665114736,41.9620904768009,40.33419358939653,39.242939670518275,39.92893556633736,39.366222639738375,44.73129312897628,41.566761841592346,43.163896886124945,47.56802669862622,47.689142279948214,48.21479566120438,46.64150667542989,50.7923149876513,51.47649572027447,47.0796484932928,50.478556767087944,53.56202180254902,52.44580794634143,55.07332774773991,49.87762892871574,53.61305095594447,56.915382573815904,53.13793050433123,52.07093675578661,57.00002799969289,57.171927524968076,53.01087795682124,54.0430644190357,52.05696359297404,53.56702594673583,51.40166898053613,47.679315645844106,44.64892648767487,41.5996612726888,38.83214115569002,36.408261482474046,35.51692319520661,37.47328256440052,39.60403058501448,43.1917980007774,42.553819478172855,48.681496136977685,47.766522566855215,50.45698358447555,49.543262479513245,50.4364071470839,48.42033143697706,47.83232457514694,45.190303434978006,45.68244296904775,42.63027370983767,41.79395223883979,44.00340441702642,44.549867917724846,44.36988247476544,47.20837526346883,44.73429323879299,47.37209755445998,43.81106883614243,41.67441530509848,36.959429557387715,36.92525534266164,32.65415329108039,35.2682618440465,32.506243764260006,33.44542123516991,35.88337577633589,34.61412860373575,36.955017530835754,34.71028240124748,37.676270731826136,32.77754315956061,34.692908245102814,33.790115695922246,29.45467103078049,29.385525932788422,25.021428052947638,26.15995810544778,23.000545830865885,24.159695285264974,24.958511882497692,25.015506235272504,28.726336305710074,29.187570581666833,33.8018559818836,32.04724411540427,28.95839647071341,25.984707038456847,23.3808710407522,21.457209084898704,19.29059908351346,21.31431716811343,20.14388457215944,23.854725253802613,26.056490808067455,30.832022267642888,29.926096774589283,34.12443459160256,35.268647207537434,36.256646359917035,32.56330054969107,28.839347916193436,26.090323533833615,25.81173197118697,24.732092243256712,27.663133068677976,29.286020531361867,34.111540422982955,33.812516365978944,31.662471553688274,34.88463074602956,33.52193195197263,30.257896637410205,29.43301411003958,28.54800809114767,25.544998032609076,26.362744131658108,25.43075932061795,29.38860430262885,28.02966051477818,29.734858567742734,31.108322374513666,29.76269140013833,30.4085047624918,31.67461244556313,31.178053150802484,31.260232348469735,34.54531343284834,32.77027791635776,37.307387589364545,37.18718427389813,34.83318630437606,36.134412401725044,37.270928328950355,34.28857947570901,31.23438802534777,31.781921865462785,30.830534605679865,34.556775388159465,35.77317756388748,37.00321709690059,37.80504585301849,36.63316823237934,41.59025429913422,41.309129439704435,41.765841238160014,40.213761393022565,36.0154234092062,40.09208274309287,42.42471173600897,39.948078611288004,43.44225204284709,42.734486455700264,46.85268824053064,44.61685955129239,45.48973252823943,45.49550384705494,42.39893441801998,40.9424629917426,38.31623517680165,38.29430836619123,37.91506278337405,33.10829057092154,33.852508119185316,30.49632539224921,29.448798359569523,30.96086522092209,29.41945269133662,26.008920650890705,25.937391437854746,27.89595183132667,23.88662628446951,20.47541953839158,23.900391837542237,25.310245525885705,19.121728041378333,19.3827488050816,21.992094219605164,19.3277533131893,15.577919461646362,19.066544781766392,19.62186810953891,24.067001142211545,25.20688306301399,25.890679089512364,28.58078232018533,33.666477248694896,36.356519449152316,38.78733178047631,39.365054823297456,38.98121574098322,41.88254063055481,39.99081657883533,44.0422261169406,42.464885966403074,36.731921085878966,39.78377836413432,42.84454040416335,38.53328392037738,36.92390559139366,40.72075643179494,40.38059530113677,36.049586762955045,36.11198923248367,32.37681829954996,35.287816896955576,37.919356078636,36.2703298914716,38.703290325950185,40.02794319611598,38.02370373113786,34.80153335349425,35.07746617662601,35.80583399026941,31.549323014825084,29.69496160099571,30.941076538713837,28.761970080687668,25.677119662650053,29.74700160111518,29.563205792888503,24.79933892193088,26.23918262140124,30.120835511914727,29.508084983183327,32.93042145550398,32.7568132734259,36.32856494196211,34.061384310881564,29.101523384621572,33.33236901768324,34.211770638806385,30.759938973739743,30.462132964520382,36.09326053822633,34.06591025773228,29.375450732291885,32.77898360349496,36.77918905648903,34.29153251178042,30.598227517564553,25.81676451089874,29.11128017357885,25.00649019109894,24.88317364362892,19.809762030936074,20.272873739822337,15.895736551722809,15.433203867627308,18.268917417931245,21.545856020749596,23.051102423911342,24.404552058462183,21.641065975381906,25.373999401290042,21.902647597278243,19.962256502555782,24.40401867304134,25.478572085178232,25.236691884162948,21.007631765975514,20.06073528175744,21.730961592025817,19.509964601674508,15.1450245511527,18.201592897270977,19.406528933521802,20.573192194417306,21.63990822871058,21.69939396921081],[10.206426997040468,8.26212211301361,9.742707434553674,6.764171893358146,12.188171465337868,13.469226021109648,16.52247399451545,20.385629546236785,20.682530509716244,22.871731794472108,25.848260935659937,27.920686836216525,27.845714193661244,26.652279490160183,31.663908364834597,32.7313016518347,31.122084474003092,35.56888351790094,37.48726849625775,39.65468198780903,42.87330571399011,46.035736879122275,47.004552245520316,45.68874852070698,42.80649424316891,39.20397800724986,36.87903050468889,33.446564806354,34.74895082721942,34.37534595864722,38.30409297851678,37.13315740290209,40.783167847773655,44.57992397834359,42.00160905686958,40.25517687717105,38.638691893899505,39.04624890516317,38.03836932015402,42.845995996790606,39.8627827810892,42.13428942815663,46.343902736969234,46.1705475622646,46.66047001949861,44.6509912640939,48.73798671863806,49.61535384303964,44.939695636626915,47.891591796822425,51.19987593827381,49.97307406995716,52.914983692914404,47.86066438844145,51.83921378431043,55.24597525840527,51.71045672524243,50.94384220691037,55.8719181038598,55.95329386450118,52.212030477163225,53.73848495689197,52.09244966797502,53.70181482040615,51.15892915538144,47.421935008456295,45.02303180117876,42.12988844300324,39.784787539461874,37.75053533864233,37.05372665434153,39.49961184997052,41.330831284341386,44.50263517560178,43.604324799363305,49.67960863069513,48.10930461220692,50.877592432875986,49.45855848058418,49.89745191583354,47.505956052340565,46.35704132234121,43.5990967323581,43.54501458456029,40.52342391803613,40.295559066453784,42.97563263031609,43.7761182509307,44.116767619756885,47.38572081705316,45.35055084106565,48.48695121181553,45.09832477781939,42.93243816223737,38.189102228739394,38.73431875507903,34.440157559594375,36.29728750170025,33.28400811514993,34.0087119747038,35.80503929910602,33.75141014811338,35.850451442515094,32.85820332918334,35.00045078154676,29.92155344039033,31.26586393321854,29.849996706138548,25.45264798291684,26.14127952928705,21.93697746096284,23.624281897888483,21.384214234744462,22.441290562249524,24.34475380375226,24.259952053397992,28.34925047332006,28.640699556929636,33.942188982381836,32.4447388715988,29.621150349085696,26.617815656964208,23.517508519831487,21.189303715607313,18.695743334984623,19.168641731881536,17.5484071456827,20.690071931872616,22.273032529076872,27.203674766792513,25.47986247860178,29.596853500823425,30.887786575411003,32.38774489246919,28.65123671324469,25.423141006039177,21.96010902878533,22.631222090739772,22.2508776111011,25.537054852118445,27.711368686507626,32.53615227275894,32.60538059033033,30.16812773387232,33.34117916472019,32.39980716856938,29.042080134365914,28.358788364997373,27.041392676682765,24.588658248852358,24.926288238264757,25.076708673747017,28.712040044459886,28.378227015764125,30.34465121319219,31.0058930693881,29.55774520292489,29.329343852112377,30.835938140551853,29.218096409060514,29.01103873273456,32.908208237851916,30.66352135024123,35.16219166930556,34.343330809163234,31.95156457360367,32.548390956587234,33.54701315110157,30.178501624765598,27.57858332273134,28.001578342904704,27.724076930491044,31.546598248273703,33.01784033300247,34.68917472990013,35.62210623396208,35.19101546058142,39.82136581362978,39.21069803996863,39.25265119961704,37.343681870089085,32.990549600170816,36.53396588375531,38.671023274598134,36.42133330352796,40.41029009738379,40.27762287632586,44.01957605525155,41.82992021168794,42.16423331346858,41.765221670510996,38.75024545417701,36.787156378312055,33.947617934242004,33.645380398429694,32.8844543303163,28.094227341486924,28.70553371253512,25.153609955592675,24.602735221486256,25.83286121418003,24.863416568985375,21.447366485553935,20.68251687575901,22.96772044217187,19.438866222328873,15.178855842380298,18.721361180196038,21.04474188413105,14.848598542736823,14.64502790995053,17.81451494990896,16.02740614354866,11.813902972601777,15.077556449879916,14.763849692963463,19.789687316234797,19.78596671634539,20.53797648618135,23.618024935084822,28.43053514909962,31.48926205825496,33.59858949769113,34.32862056883329,33.77512916264712,36.73127435144743,34.97906422554656,38.772633097871015,36.99097795707504,31.301150101159582,34.43528331268104,37.19481054427143,32.76811986439184,31.299089774793217,35.148650468589615,34.49351349056525,30.13314704465749,30.528952006123895,26.793516185980064,30.2348654308814,32.80878629216813,31.38099342796982,34.1762262254116,35.75516227798692,34.05367090205896,30.613704143198955,30.844061270970442,32.18244346034297,27.993266993013485,25.711536183432035,27.585456133133654,25.871914354444733,22.26248252260756,26.17314956915179,26.682473585261473,22.262217767109902,22.830021351009908,26.633866797081794,25.413686842120633,28.661975282957517,28.311443401579332,31.55277332631611,29.308659845934116,24.169011589698613,28.17817003999533,28.86399730847719,25.37284387191618,24.85964046705882,30.41034321519696,28.308505088392902,23.50264437364087,26.86631320498282,30.831558352447818,28.339165899435226,24.593540452801065,19.81013389324842,23.229480022356157,19.238570343143067,19.28895781601353,14.026363171709333,14.493876616170633,10.405489012221263,9.511136685746868,12.25479826935522,15.539249839610138,17.09217425687674,18.55739550279282,16.31437724103681,20.391770654955014,17.603764645480616,15.752313242512924,20.834625685636237,21.97699670888783,22.74257452621028,18.126656459296754,16.861705500048345,19.586168373265576,17.998373205091852,13.06708016813476,16.064972998732475,18.317201673397353,19.45234964196004,20.19009768591084,20.26746732344794],[6.964682854544867,5.467718801548608,7.896128926928655,5.359668293065456,11.172719159726736,9.937846892398285,13.3395868785108,16.66855999858307,16.786694614370152,19.6256527481061,22.314376015605255,23.9957291599061,24.670288505730404,23.69921224954842,28.480434879394718,29.60085340979124,28.619574741947055,33.19907467277511,35.722477426006925,37.800042684006506,41.28120147628095,44.57116098063867,45.78282953897504,44.856570139119604,41.80333796109553,38.051083857710495,35.53481479404888,31.791149554654613,32.50313465910189,31.62451339908697,35.25287226029774,33.82515915597137,37.224371303409576,41.265285103039005,38.94656646321548,37.59454458948849,35.87879913393737,36.979838926041744,36.38133007984159,41.35671220379684,38.817029232274045,40.72828040380247,44.91543266643626,45.17524589072804,46.049255420274804,44.33955405066495,48.51755076412381,48.942339465229765,44.18277370399269,47.52949095438159,50.41719321826149,48.97372640849075,51.67515875636164,46.53459580927389,50.058181820259826,53.686394088349054,50.25582126899508,49.02129575075453,53.945029102665835,54.457313582122794,50.54349681372422,51.701194193532096,49.771461305441555,51.709758816041045,49.40625056170859,45.45438971719188,43.09402691171409,39.846172641444966,37.73227680152918,35.269742687977185,34.86454738201918,37.28957734413105,38.80099508787829,42.24365071954744,40.97349832292601,46.997880855651175,45.602202089248955,48.050308551570936,46.81837519047836,47.5373907294347,45.02863875890494,44.27623017464125,41.20483081166587,41.60794396893418,38.86052371614145,38.16084379022104,40.86639047665777,41.135990922964915,41.63409516132495,44.39953166486318,42.412568227524964,45.43325048147485,41.86892666219539,39.45829268040888,34.742708159059696,35.08662370684377,30.846297486075148,32.51978393362712,29.38966447981974,29.760773648139995,32.10424490723707,30.078153103141997,32.664735823809174,29.826921515778213,32.68252959201725,27.628346500571617,29.195294066863077,28.401044090960983,23.979424498957318,23.903172303308335,19.663723556563117,21.47686254620019,18.738689607721334,20.55717252356376,22.196468501413293,22.84442408518423,26.790270101212688,27.768530697921623,32.739885803155154,30.584394616166943,27.92852824082968,24.651392922037864,22.302148490422244,19.620233114379932,16.605245053744245,17.943132310365975,15.470449494619336,19.320642411007558,21.11892219159934,25.905029744102333,25.116213281355467,29.077231785152442,30.676969884198062,31.413538373632374,28.25425980752303,24.75729587338228,22.19662997828121,22.69563596153818,22.42581344955647,25.13153309415793,27.83232288637543,32.549744857572655,31.946787602980038,29.314697584258855,32.24270396599684,30.650077598973855,27.355599069789942,26.057131237146102,24.548579364605846,21.51726390379983,21.596566895293698,21.0688730049558,24.61705891227142,23.78092623802374,25.873849815779344,26.899339699830428,25.794074977152643,25.848401136189054,27.67003530202993,26.593272498222557,27.1822169902469,30.959033305940487,29.56963321601403,33.87829379591458,33.842516187903584,32.03165420165928,32.82606590090084,34.422481253541534,31.211945312708306,28.32423233835269,28.321166295797802,27.48885377202462,30.77769568226886,31.710212224577475,32.882436232255635,33.35420371192246,32.58523609640907,37.19334517643985,37.13930596093731,37.25371783995907,35.99707690985237,31.342258654630367,35.488540466440654,37.998846030040056,35.82245144876509,39.680764188758154,39.32513568458313,43.43588522525519,41.79060730194944,42.17574855494307,42.14055661186603,38.76484887916382,37.138168332335255,34.296030979444986,33.97149954504572,33.439323341468445,28.605488561776603,28.92122705230306,25.484411049126884,24.033945855679324,25.44111696500173,23.620159322294654,20.320343952012937,20.539388553149724,22.285064008976224,18.087360581419105,15.222631911893755,18.690703747145406,19.77378575283586,13.625057228886389,14.493821140467164,17.217647147944046,14.29434104522242,11.05627234038721,15.35273517746427,15.778118502900844,20.13743874352129,21.703100263110166,21.55439237448125,24.190981938233413,29.19011174931851,32.17554902344416,34.277970804938526,34.34870945012421,33.75795345808548,36.47432922236728,34.36606306383886,38.55539042730989,37.24159153578184,31.412139468727055,34.34499710626773,37.712200880290844,33.60793275985272,31.83236110635257,35.630516213426375,35.77462001866765,31.562787319475085,31.405665328254546,27.36723580239589,29.86946257490964,32.391943362181316,30.554061248371347,32.85531543548847,34.13545277097757,32.08330004924203,28.90000614681253,29.20835249050306,29.89305210018853,25.597293299974133,23.819082733552797,25.186574739071187,23.053292980882034,19.96164048558122,24.254153604470776,24.255456759494848,19.631006812939418,21.17815803203513,25.14679480227512,24.422599890578326,27.590446013934624,27.138466580201584,30.84850278387641,28.939595491456103,23.832475404096346,27.95312609745971,29.239838120510374,25.94887053613954,25.458994264571864,31.262341945729805,29.7694956777076,25.055522214837406,28.245384560030114,32.50458714582231,30.540205415474723,26.92579928780502,22.295484712687987,26.341498734803636,22.72072977175567,22.175675089204496,16.99288610821867,16.23395607741642,11.391823329977772,12.426388239573962,14.829334930294253,18.543786231873415,19.419621974325015,19.88618080602183,16.796876914723217,20.222309410539502,16.86340107418674,14.300455962017205,18.558712752223055,19.5227856709129,19.462836456452635,15.216283022204511,14.120065072518246,16.027390367684166,14.052851329498111,9.349237141264137,12.728456927330607,14.553358206883328,15.960104535527684,17.198709133426316,17.786890325407647],[5.985536170680566,4.673957289538235,6.610262000130397,5.956928345188108,10.426542501197437,7.1698886390441485,10.990008984625563,13.56771920487267,14.130367959663426,17.638129951429228,20.171814577586723,21.243607352695676,22.442101146797754,22.06879118012222,26.518772694934814,27.43877708939602,26.98810758745548,31.672741646926827,34.721106798226025,36.48613182683641,40.215131679993064,43.42509942986523,44.92609301428131,44.303746422502456,41.0354731006222,37.32351018172731,34.53139610458788,30.64165282158004,30.85769916492705,29.477549025412284,33.141087958288836,31.231093969515914,34.49390862155081,38.72579552769612,36.497528290081895,35.5183283179855,33.51353132499579,35.20204324156754,34.850660122768126,39.71867994685239,37.712534015677306,39.50279540076131,43.55147495517067,44.11768941694063,45.33554718285487,43.76655956094792,47.96717084767567,48.032479212225574,43.13315052498643,46.66085846277454,49.20768916508099,47.52405862999937,50.09133961196799,44.95879888546148,48.10184025480757,51.96237383858782,48.74679004914104,47.177079265400394,52.063510187645505,52.95659233184456,49.05781330877804,50.03252530615595,47.965944270319696,50.247315437572915,48.0533922804765,43.92061016732536,41.85497648906445,38.354331853108675,36.650681317228425,33.94743439278927,33.90615340260658,36.45007447968259,37.52182916985185,41.03622194732632,39.31993246852904,45.21795814649402,43.76111798751739,45.90234023997994,44.67416677326166,45.493772795177016,42.74349710620067,42.17901740596188,38.77211700223276,39.42157633826139,36.991199422903485,36.05922965028692,38.94486663368684,38.77325529241687,39.627522154533125,42.02642612675112,40.27353204729403,43.341766998363326,39.69733686802492,37.04813759796885,32.40210973389222,32.75917648172023,28.62653022452204,29.77565771444559,26.454317075502484,26.33278249498066,28.98992781289043,26.67981543887778,29.678449356876655,26.724937271153514,29.976308794719007,24.943651517533738,26.487496859606008,26.159400074971394,21.777364151272113,21.17935781708782,17.087861500540054,19.243586613103673,16.4505288239906,19.01549349221469,20.767703692308032,22.09477754005405,25.913275046160788,27.4697957167114,32.263222738787135,29.608242772751307,27.278391818132366,23.816329811236685,22.1090185782725,19.05103169219743,15.536189343653701,17.061045377817674,13.574736285997291,17.764467774916767,19.450254591301864,24.005141580823068,23.872162406857967,27.549001208483116,29.48736264445348,29.644669233784974,27.11490386015807,23.637838014319698,21.77742530382884,22.465047868587032,22.576319975580592,24.768303969625897,28.089314019824823,32.6002163590545,31.511589566886503,28.64178734963745,31.249841802520493,29.200937801025308,26.008195839564966,24.155076097218224,22.29211901987349,18.928547392022747,18.470229926370518,17.63115882461013,20.868065269638617,19.90611688280284,22.249884973058645,23.37214135537025,22.635771623702105,22.627122641461956,24.885200053939492,23.94695108852668,25.269022564088147,29.094470303351994,28.417961399563058,32.44109396395893,32.91005796247749,31.67457308121832,32.37764287315855,34.45439104533129,31.30565111876817,28.383790442603065,27.933246884750115,26.84565521981135,29.571195540834612,30.04384625813983,30.86125518579699,30.897051298803785,30.084222384119446,34.48310100603982,34.87639285813797,34.898043692996225,34.18202560286876,29.220220387910647,33.71244112137243,36.48779681233244,34.49953269579653,38.37081966796508,38.020569099245904,42.30219208545082,41.21084057623087,41.44091763770223,41.5999508283906,37.952175897700435,36.47722368224978,33.59394462417243,33.14647574600576,32.697906940136704,27.91917997899462,27.88894309363878,24.57083436370112,22.443696596057922,23.88799711495325,21.446766532044563,18.36921028349375,19.34879108073893,20.61117443589955,16.038568004581258,14.504984715398392,17.754304027697316,17.858448480929173,12.125258195573924,13.921046673722415,16.241099876531838,12.643888654566418,10.694932708706569,15.495123060977523,16.217811848209138,19.935744798017165,22.422990030619946,21.477504756040354,23.761276088099702,28.69617674625114,31.708718020282532,33.63785742133549,33.118774145270095,32.422160902177595,34.88203247927731,32.487759231246045,36.923421371577966,36.01066283114997,30.136537771792433,32.85200633316864,36.65791098781876,32.87619131765288,30.881018248182553,34.58933763253634,35.37819679393869,31.358992586662588,30.8012554215127,26.55519322576438,28.276045486905264,30.68585715968328,28.550303706722516,30.450693399864832,31.514707718432334,29.226511044341237,26.266005415213964,26.649625175309726,26.871528501186823,22.535439393416173,21.18574807224379,22.24225493428406,19.869354059198447,17.230940850897134,21.793758496293744,21.53640615437388,16.965231134519005,19.1994862400057,23.199072494577848,22.756648845467925,25.680603513717337,25.040283107831783,29.037807453012167,27.52853482766514,22.494385614355597,26.525008309130783,28.316343845341283,25.28400117311259,24.728148709670343,30.622226166815555,29.711406682582584,25.143381596809103,28.067624632663147,32.512887521416786,31.06531332747123,27.619430790827792,23.248989408185448,27.765762441711995,24.574356323877968,23.63953752226655,18.65545574341409,16.90896822235584,11.932607651874237,14.301944546785158,16.205539347687555,20.066455051401014,20.347433636422256,19.938934528894777,16.39346085086826,19.122367307436107,15.62022991366742,12.452790811943514,15.786494395250285,16.542702791331656,15.932671093488496,12.102937598755648,11.141348365136588,12.403232383142806,10.252716522598696,5.829997544122812,9.624399545945739,11.357084019824203,13.020209493614942,14.683117761602272,15.874479252363313],[6.084420515711406,7.007753453496591,10.235063365582835,9.467606175557696,14.085680234290015,9.748056945212461,13.058891895119318,15.026563158480593,14.587095432975326,18.31647351062501,20.25009026557122,21.275664886441795,23.28203584208525,22.495077290320953,26.75175615142788,28.049657136348877,28.02711546710146,32.61743340665404,35.83069979725171,37.86318143533149,41.56781535255359,45.035115901025385,46.466261862220556,46.00851368496231,42.86219908557946,38.94753174340156,36.33445422539058,32.28641709784602,32.2210737641534,30.70705013407215,33.65082122066748,31.996439577339974,34.88331795005129,39.23883486528434,37.41036595550383,36.63765214597351,34.90208021673329,36.91683335251532,36.8852617726171,42.02563673604552,40.01397934912798,41.39667497772234,45.52188967179435,46.304020018117754,47.5825906466687,46.26279079270103,50.49084786533941,50.41607059785442,45.65712429833031,49.42629637494229,51.80817685296316,50.14693005839861,52.51860600798451,47.3283543986757,50.24459933446089,54.08827295478744,50.79080830328712,48.97816834948614,53.84140737287567,54.870765231385015,50.737694014026125,51.36577765683823,49.052354489621706,51.34972008203487,49.42340520566539,45.27045352199381,42.86921449764652,39.21379048419749,37.32361834466132,34.290149633871074,34.20397174043024,36.4209201323937,37.594403585510264,41.424729169699525,39.772834213897895,45.66313047055155,44.64257109095183,46.63311464631569,45.748976384462075,46.88893192700152,44.31092993063001,44.13895289634584,40.71947804768468,41.74413669550423,39.38709638616,38.06159449579434,40.69707218432243,40.24560692880672,40.86793005413514,42.8551281497512,40.88101940289676,43.60310606196347,39.80387470599557,37.08012873022459,32.485967499996164,32.37932361268583,28.304503985633804,29.836941690570423,26.62819682272404,26.379758841600715,29.73540919441411,27.85319317935289,31.193092119188183,28.680561188667312,32.494006016614826,27.624072453530452,29.366424392861944,29.3951310208852,25.104158895498276,24.077143835332453,20.084053484867667,22.00220662134813,18.73515836116623,21.428417389096918,22.488019922757534,23.983229524527,27.52766011666132,29.24189932398487,33.58302053197079,30.693256673016368,28.256166512429537,24.795029386365602,23.510425427889995,20.68681115087849,17.37084867188281,19.796920556574086,16.589950907380434,20.968373545781418,22.870935387897447,27.25179908285739,27.507668403370047,31.128030514723175,33.063704094653936,32.94640989679123,30.544728510542036,26.895095042965234,25.351786990574407,25.638698403182367,25.409628329546166,27.419893747449628,30.44760265776462,34.942181911393746,33.631992234186306,30.91655663623719,33.50546474474208,31.161337736951936,28.064787288194974,26.042882884006954,24.393495337070938,20.638017116522715,20.316951786082182,18.530609489882533,21.723362361559225,19.687711400290883,22.09120902652619,23.924604704808328,23.505527459602625,24.102792007517873,26.355467049948302,26.185206094065485,27.83338943944207,31.282518853374057,30.983729929768785,34.9625664677782,35.84346468305352,34.6617693204153,35.67669269515296,37.80468463222481,34.81144594831976,31.719790746156935,31.333209764237324,29.95555796758071,32.580475058374155,32.864689433858324,33.37882112389713,33.23135714641073,31.985553146105282,36.469226833116714,37.185389913033475,37.40194298148447,36.99965482245221,32.090815194992565,36.856485624668004,39.74362834070648,37.69948268780864,41.32738656480889,40.69531721732605,45.1704393589138,44.11420277002774,44.58313032548811,44.929410136874445,41.24113878173959,39.984034149922515,37.18654077031924,36.82394040012198,36.482794351207964,31.72255685532339,31.670024610382793,28.38402597454414,26.085359456810703,27.43243794332097,24.73240811196099,21.87527630142394,22.976563221111128,23.873471430649417,19.23601707911062,18.147845282230477,21.005759689054937,20.49527529966697,15.044236759900405,16.741221500426306,18.492942352236312,14.51169353120757,12.829496686591892,17.349192757582667,18.695279783506358,21.939078000683303,25.215644646889253,24.40298097914078,26.335529799740677,31.468355066200825,34.089148186948286,36.336788634685945,35.826228534747145,35.39296864546653,37.8807989262497,35.572778146584426,40.14524112334718,39.26388245656747,33.52075991864661,36.28311493351163,40.192878991002374,36.46892240584959,34.54838485564561,38.286901557683265,39.135158204796106,35.13644587243031,34.64884898674044,30.323455307467768,31.870647968311808,34.17395290218467,31.788277199920213,33.489750983921525,34.191744672218725,31.915958678189366,29.201900356920394,29.334197661857747,29.13911836863706,25.007061594527308,23.806953301758423,24.216212349670005,21.56951713585825,19.377178862458972,23.732238507554335,22.88025925259576,18.131604010720753,20.878004949864323,24.801495868014015,24.871951848465983,27.98038640661127,27.671927120099507,31.788164383188455,30.100029321401255,25.398460693520004,29.639387551097027,31.3659670232024,28.349306229213006,28.170349992374714,33.97043997201876,32.956248295276694,28.587783395410572,31.708365236895485,36.01300860854375,34.45236161191615,31.08973399464496,26.69413573971913,31.038957909637062,27.689550768157574,26.52576633786499,21.674881290191927,20.20079788353176,15.256034378159113,17.455982902455823,19.71162773136802,23.559595273780342,24.085374439844614,23.714451848420026,20.285859337859872,22.92447495115556,19.32946891989703,16.107995524063252,18.85438068763335,19.281838685293813,18.10045776961129,14.959435303001326,13.886580729002647,14.086621617449637,12.04152266136051,8.442194163997524,11.147477534303466,11.639431420268421,13.194831167042553,15.060170594012224,16.14116246425069],[6.471132584556214,8.262908097853213,10.994618602113013,12.956492352428524,16.216048622305845,11.186796902967355,14.642454050496335,15.07572404767502,15.700071693392836,20.199948905535035,21.781741172746326,21.628604920365667,24.4631086209359,24.67782248860481,28.271317448247203,29.17248835685404,29.9023594751603,34.53382717030188,38.35053581920943,39.85586412572221,43.8426143649123,47.067573967713905,48.88764530516675,48.747877378436606,45.32758328444032,41.598659668305295,38.61396730513302,34.525035847780046,33.868784763013714,31.649030554446774,34.70575171702754,32.20021811823912,34.787727001629314,39.41553521245869,37.72612283733398,37.57393823122032,35.29487365172968,38.12435159137032,38.319238266013194,43.03641755849158,41.84270725338467,43.252967611386794,47.08487182785012,48.17191236725266,49.85209940366482,48.56716324448572,52.76048993175088,52.317934673687894,47.32856258098707,51.11266572077638,53.11908973987335,51.097074957266265,53.380871034131616,48.31054861300603,50.710768195013884,54.90777786751296,52.03319060681289,49.83972144733725,54.59511859258175,56.14818294270922,52.19068366607909,52.66284908707116,50.23511387062995,53.02180468360838,51.19809204807339,46.840770513871526,44.98244384165855,41.06145950613081,39.798846546324455,36.53695051272669,36.93648102339001,39.2755191535214,39.85237092198871,43.70186490071896,41.433433231552605,47.04283840600523,45.87522610663653,47.363762128777914,46.42282716844592,47.6186066285303,44.58776425316651,44.559519007106374,40.586112728922146,41.804877053771555,40.00872856934602,38.56767999357076,41.58251545025537,40.49232026120772,41.80302387752196,43.227242762973376,41.73194853605264,44.52397634326344,40.6547947760796,37.560681984504825,33.19523299061357,33.0840527459045,29.320199208200965,29.852277589424858,26.353609967629495,24.887404124551253,28.908580619294472,26.237144740203476,30.36910356009602,27.376914695022666,31.493956331557282,26.68980050287662,27.83593463525432,28.42577360160313,24.257200875216178,22.856768384560496,19.54220612318947,22.36478261565812,19.63054831558294,23.18868906165914,24.66788755342078,26.85423401202717,30.241960302887616,32.49646084244107,36.714204886629744,33.35843941442124,31.393245296218158,27.82191382717459,27.14819237264286,23.976930115537908,20.24010240505694,22.255839606899162,17.800560664015002,22.074358868016,23.31377657470721,27.27712870877504,27.93561178470361,30.923681373160754,33.51478137840859,32.87311877338786,31.4641042021737,28.234280724434374,27.171074349184135,28.15832970543384,28.58676021717483,30.186031280593344,33.934687729663736,38.17306930602916,36.49572329835175,33.48612107554601,35.63541401168509,32.89064465780958,29.98285684978872,27.312963321013218,25.050505655915522,21.111060140164852,19.564484893105984,17.42777564688763,19.318064640490103,16.73211659629443,20.115138638314512,22.247057185049627,22.8132687868048,23.029697448167116,26.19344221421848,25.89487082642628,28.603201067630906,32.26192168806785,32.77568866364827,36.2780782324398,37.50782436975533,37.00134539146717,37.56418199244433,40.11623726699292,37.016853985062546,34.185847997118934,33.26078525206474,31.96084254611888,33.8772174746266,33.63352803745659,33.795580989552136,32.96660183722607,31.974888985938737,35.83170834132342,37.21264743971799,37.068753329913385,37.3982847594189,32.00347142428112,36.918372163058976,40.052589878757125,38.46298709288466,42.32077457278579,41.968744086914555,46.45037925892438,46.121495925049956,46.14670413461873,46.51267587241384,42.573595513491725,41.221132833780764,38.264419539100096,37.52509866164237,36.95563913492709,32.36713055839319,31.607925496663913,28.26848918025431,25.407224432937387,26.110696949715305,22.816596997915767,20.776038263270973,22.162095450233178,21.975953371014995,17.34955147588848,18.028751280431983,19.799721509775274,17.753130074501776,13.559793706050769,15.810364415331719,16.442240814924997,11.92945517208894,12.222121532395441,16.46627939210154,18.40779585921326,20.317068667363294,25.063981157804907,23.470141451689727,24.5979457931854,29.632896857177034,31.888866480868334,34.14506693097803,33.09100436392896,32.87557545972548,35.170369864794374,32.90622551776944,37.73886541883466,37.14204474891831,31.723732001729957,34.43591538261149,38.70197084927642,35.387433924097486,33.56940328749784,37.327085437222955,38.684085459135986,34.99702925482195,34.62859623288141,29.86631825998133,30.75835451231716,32.562347785198256,29.50526220763232,30.80781494556541,30.76187606821693,28.722020662393607,26.49597549956586,25.99637405396349,25.212618666458972,21.59042528259422,20.528093302294902,19.997013826875726,17.108133383100558,15.64442905870962,19.698350469534038,18.217262307243097,13.601703258597084,17.159880965518123,20.861678445696345,21.570647056902036,24.51090239712053,24.446124259722627,28.754900795509265,27.227648259836418,23.134259929978416,27.40945677515937,29.40103303343343,26.75561938272246,27.044856370832147,32.585842099834785,32.04896203228902,28.262814351307632,31.340152764686618,35.462251768834506,34.37388666327776,31.44581925360174,27.509460013694664,32.13280618516727,29.330159192597137,27.379105343201832,23.150985814333506,20.80410066182745,16.232680153965692,19.6680323193001,21.609915184643878,25.455590494161115,25.662177040164362,24.235830351201173,21.168735717630994,23.088185611473627,20.136971262417696,15.987297897415505,17.2152301957518,16.603560520840354,15.236201439446832,13.553081592858762,11.581371156466231,10.246222824040938,9.980021753583419,7.312676163012828,7.506790357082753,6.777874500872178,8.618860260724418,11.11714056229096,12.945466635192002],[8.497917255907078,11.50269572723423,15.113567261372587,17.00938626762103,20.824023825243543,15.82945737451969,19.107569836342552,19.302807055504406,19.326338897464627,23.819308484655828,24.912157608953443,24.64741943466063,28.096873574902766,28.01189618388495,31.376094706564974,32.54988637144571,33.60730979896429,38.124918911787205,42.0233212363163,43.7194477646291,47.66776015731004,51.06035287329876,52.82134356161139,52.774050193977146,49.45289294998957,45.59787311836157,42.749985934591436,38.584980535893244,37.759663713053214,35.44452187714945,37.91812474738061,35.577407742563594,37.7726172664009,42.489212928309335,41.167598129732,41.23263646402898,39.12420298506281,42.20645819493723,42.60136020514812,47.438300087724905,46.26152414368977,47.438541268462195,51.302636212239015,52.516117866161984,54.216945264029896,53.05583394677793,57.25754775626604,56.76031511493516,51.85057368779832,55.73650765101589,57.66212614581342,55.63509634214111,57.81068349285745,52.72991755986873,54.951704163190406,59.16061251716579,56.272086464882136,53.905873187393844,58.620361691021316,60.29824718060241,56.203453211651556,56.41775893227393,53.80256409591019,56.61644318239207,55.005923660118825,50.64414635437657,48.55385787690929,44.53394432094938,43.13300656396611,39.63247163475872,39.978864138987404,42.00049769148466,42.67633378264811,46.77149968253587,44.56373203773869,50.107158031266906,49.30745051844819,50.61965970109245,49.96032678394926,51.397726185449706,48.46200318315549,48.70882671203575,44.683315619086855,46.13350937450143,44.442269259582346,42.78196514562329,45.6537298011066,44.32262396956131,45.51988387158668,46.556515617725566,44.9386119704687,47.406424329655586,43.42426860538089,40.25708109817621,36.02798327825383,35.475948093636966,31.871694328996607,32.640835101896336,29.280388924719663,27.508982359605543,32.17767599542203,29.738602019373218,34.18467989168455,31.42380519727678,35.822138974198495,31.142049453067237,32.19038085401896,32.95602169869379,28.8347721748633,27.348431930750984,24.21129321065797,27.02727840961994,24.152978211598896,27.71037896500841,28.833396913874342,31.032544431492372,34.27587302668438,36.549148156667265,40.49781925629191,37.04079270245146,34.98074698283336,31.454112313159904,30.960795432452898,27.987334536006486,24.424499556178926,26.816372219423908,22.54019009498571,26.84646209068682,28.08564672371783,31.995380344244943,32.6647982746759,35.56670858529691,38.25789001835969,37.56515699966785,36.25013961331909,33.00783142796759,31.898656577278253,32.806272265594124,33.054722271179,34.69053271475734,38.212782786814685,42.49525699791948,40.768731677359696,37.86639952976029,40.034194574308444,37.15540689835241,34.30799193979577,31.574325030256126,29.43099474255955,25.332779436053908,23.798145809632942,21.111542392698496,22.61454399432302,19.032110850884663,22.59589736975087,25.365037367792333,26.343664818986902,26.916842410254684,30.13590296378065,30.263671712523042,33.17286823473554,36.64418170451224,37.334226863412034,40.816020008180814,42.19969967825064,41.66450940316578,42.31956889238587,44.82425188673964,41.71638579409581,38.86159205393978,38.010582635320795,36.67643577571058,38.59907557179958,38.28353948527999,38.29949263949855,37.31784625326879,36.127646817637995,39.91313625328408,41.55860606899999,41.46289131622591,42.009941312105575,36.604769589354454,41.59254574681867,44.76960170992737,43.210372982306346,47.01023784557227,46.560555401762926,51.11424441442663,50.789910528571816,50.8937357423355,51.28884523371219,47.35086224344311,46.005369400192386,43.03620789465751,42.25582031139088,41.59072350554177,37.0090140030585,36.123869975886485,32.65577090317535,29.854408973793042,30.166278470080616,26.858164168076982,25.13986569044245,26.202238333351477,25.60541627451838,21.211856415923283,21.965990649263247,23.169622985849905,20.689646966172862,16.950959335611508,18.699788234525563,18.61958425539664,14.217731577555544,14.610993652143815,18.035358103107747,20.61911717440515,21.8014745035912,27.39520514864801,26.073355450454418,26.70118840960478,31.88985251652103,33.496795432014956,36.21936085938461,35.36017731841694,35.6204399406961,38.04363012065045,36.141754113070945,41.027510065282854,40.28334597953574,35.204147056319215,38.11242440373965,42.318406580311304,39.018712282037576,37.48427970046005,41.36457244617066,42.55856544971596,38.89353799573893,38.939672139758954,33.99977193349144,35.02253713645891,36.58165350731869,33.19832730748569,34.45634116098896,33.862483319798585,32.197268538756745,30.256472855155838,29.141689983120138,28.101104611719073,25.033711750360933,23.787395722652327,22.494753934773467,19.577582125514745,18.48742700823171,21.782418774294662,19.651219507092176,15.1248281552696,18.765001185727517,22.10964520061369,23.436728592393983,26.63879404989777,27.20166519223925,31.430820326947696,29.482418069133328,26.00324604174451,30.5425263035848,32.199113000028156,29.570583039302875,30.48849730669121,35.751706127283086,34.93145528624749,31.52410319200855,34.95494546457218,38.73016089598337,37.41643718790543,34.677152561920884,30.775196519058596,35.10015327580264,32.18321267532393,29.84215621498446,25.95358931344096,23.97495727867373,19.611849735345416,22.82221514645683,25.154629238685764,28.947339215242476,29.542347977064686,28.173648628217514,25.558547161733443,27.62413486818626,24.856249194835115,20.578824469918832,21.648262692472414,20.588710365811426,19.266079017302,18.142836578150124,15.74530523775267,13.915923818162609,14.422672675684684,11.962231656746773,10.868619722099623,8.775394242359964,9.885769635630766,12.166825716876556,13.431526825403362],[11.05624713252041,13.669494735839221,17.086132916719,17.585644238067704,21.421896548894246,15.690609087251655,18.272784681124758,18.338567450904144,17.25165096704527,21.50847626669098,22.12032310892956,22.079074978683575,25.866525248369115,25.282847106703343,28.488299660192467,30.018276548854928,31.25992103083922,35.60182776072301,39.49879413612012,41.47897137551088,45.31845504889957,48.95445500573037,50.57898675859622,50.66057071079517,47.51063259402635,43.47832314280077,40.87584050735888,36.62450940428699,35.65549797588822,33.427382722113116,35.218566580583214,33.374740390603264,35.32537511531715,39.9883571477578,38.97228041080198,39.02866142371228,37.35775256860298,40.46777700008834,41.11720073391458,46.30868463239357,44.938379238107316,45.67240191565717,49.641705918789924,51.009769200540056,52.701998638951146,51.8321076813762,56.050565910035495,55.44338828542339,50.77168918748373,54.9305697305713,56.72764756387162,54.84105965543113,56.79812284625576,51.641423426240294,53.765849891774934,57.816498676136405,54.73256147104948,52.239852788146976,56.93598117675541,58.59252940325428,54.24362486173592,54.16772940044651,51.37955462703539,54.07389002946999,52.692263567579005,48.389263552334356,45.92285554779194,41.85971769050972,40.23602760046074,36.55613371045042,36.82058693752654,38.571570644904305,39.354046237713746,43.632812687525174,41.59687107348544,47.138000709361656,46.7336256957946,48.045587334556025,47.70197053243724,49.39977178224397,46.80157340263965,47.387762209004286,43.59730731758337,45.362200531903895,43.5588912620576,41.53162482022777,44.00124117230849,42.62121531667352,43.37285278480136,44.21231769589645,42.28068986590836,44.43324227222698,40.39129790933447,37.308811171257986,33.11382011731464,32.227615459706435,28.65562701699983,29.976500820486866,26.877116800855635,25.547177727588736,30.412427640575473,28.797945552109667,33.09548512622001,31.078932178887,35.890323192518416,31.446939212870124,33.13691855293302,34.07692733233697,30.09462292603018,28.197710655557643,24.85602240134762,26.89535343118334,23.431321646125554,26.791753215680636,27.160823060249832,29.388072087707616,32.31622320529296,34.67544828678544,38.14400236757204,34.564585524805295,32.43508615755317,28.99797865030855,28.888252208406072,26.19293565608059,22.942609709498907,26.142050945769533,22.51925547475222,26.990274761110545,28.768920310182242,32.561976241326015,33.709315657229695,36.826988630637935,39.145707777640254,38.21770161414886,36.69805758972402,33.08568685228302,32.38988165664276,32.5807789148307,32.38452686674651,33.77022058750285,36.93225304889591,41.13239154071902,39.18596236170748,36.50161017010491,38.67501015387943,35.60486526249277,32.86512832122881,30.160320999560092,28.446294495146372,24.15361352184249,23.27207939929549,19.960293501784385,22.0213584245104,17.947333176953798,20.84507018348897,23.99129610321338,24.779668711685893,26.068384814812937,28.80870443539902,29.755324609878134,32.56349873269692,35.5140288392842,36.40264795085055,39.903888207353404,41.69420894726271,41.131811404110465,42.29672774703771,44.84817179217923,42.04393506439037,38.86695276301009,38.160764491327186,36.382797512875925,38.30447446091104,37.91136209851015,37.690647525211666,36.787454375010206,35.04711761139199,39.13894647276378,40.82787412600381,41.114433665752706,41.735129806041115,36.6492478174414,41.90599792316215,45.126468735455056,43.31384776142979,46.67348288025836,45.78810482432057,50.557390444581024,50.131491658710566,50.653449560563,51.34140772449258,47.40123060456731,46.46213752237517,43.71091368104014,43.24651618997006,42.97838554969532,38.37509971133786,37.864731275927866,34.68005610385134,31.737262453157555,32.689217691643826,29.26750414635901,27.186573778524885,28.779055578421218,28.614800769369435,23.97711862415631,24.52058580665251,26.381131239128756,24.214125670781673,20.10608943896834,22.079020628392584,22.503214945563215,18.027210302684995,17.977278777679082,21.8199740559604,24.11963042625617,25.86597020815819,30.919942431398113,29.690666395072075,30.660318084680473,35.831721975842505,37.70235078189283,40.27600609095378,39.305845038171974,39.30004544151923,41.58098478161434,39.33931725946496,44.232328147290865,43.70215441700637,38.35647715198988,41.02217371461643,45.34999839904302,42.054080909153235,40.210524256224666,43.916359959624806,45.307473929229,41.57403954438042,41.07784028184975,36.43771683084002,37.1689242098,39.03660606226638,35.96337112573418,37.00663407240599,36.7554416818409,34.56369711028745,32.59813865638846,32.14557225567162,30.89411070171945,27.464694511956072,26.789008415429667,25.73478097613906,22.67797024216315,21.8285445230566,25.534674176349707,23.47152571690588,19.0360321563196,22.87631118201849,26.308516287031686,27.504037870353557,30.53718527410564,30.7271493009527,35.06118412044031,33.41781329924399,29.61642209323792,33.9664103702327,35.87558842812099,33.21083636983908,33.674221076923146,39.178131288681875,38.47116070868713,34.714037038534,37.92003018487765,41.99427907549251,40.70080271106666,37.7179270554816,33.61274609947984,38.000133273550894,34.86455466980569,32.98601037057109,28.672411464374136,26.86516631661338,22.173639856567515,24.991973122212617,27.309355820003343,31.173241390085593,31.64598640240675,30.615092675047492,27.344010133639614,29.339544249722078,25.926325842962726,22.214227507747772,23.28308708644912,22.80333134949806,20.675994506349518,19.408660421962402,18.07889983048432,16.156619032474133,15.140312422554855,13.58633934501493,13.940857794833473,12.091540626003148,13.187170398927949,15.37721186087148,16.54333895716908],[9.730870386800698,11.846833342989944,15.226342232478366,14.730143912533661,18.899300462231857,13.433098328522625,15.990293980665028,16.810659630003354,15.407542198290548,19.35653403203316,20.318718682304077,20.920509965900465,24.103864622498726,23.119258284869844,26.7755587216339,28.41485855872782,29.16853025367369,33.55526704068321,37.13660430942553,39.313901540578456,43.039597271334436,46.73812883723857,48.19620662688369,48.081108117648526,45.02357877376808,40.93990326605584,38.46215997849057,34.2478604289883,33.628373038688565,31.770227207931637,33.744785482600676,32.24213941902253,34.50911034910148,39.0242434747914,37.78497887494,37.45354902597381,35.96629976058413,38.59447063553532,39.05491604365909,44.40441247888953,42.636601572724814,43.45661778399486,47.56167262016898,48.72977452700768,50.218479674932,49.27503338149801,53.50841124438824,53.10712596248102,48.505735822827546,52.60952004290423,54.627094611221096,52.909308102731934,54.96258107611882,49.74999317964915,52.19847174945052,56.08590911553149,52.805186356769674,50.5651701542749,55.337952388660774,56.693438839091435,52.31220012079131,52.4194185065375,49.75785516593475,52.2071932335927,50.68544355239004,46.47530505730572,43.82454569155188,39.91924692604371,38.02463316125458,34.53135140917341,34.56633544149455,36.37642150572069,37.438396726813856,41.63554983396771,39.88162123143149,45.609804880020874,45.13056714613649,46.763578776941095,46.33075494523901,47.904669639319906,45.47340454111806,45.872959132196236,42.349690008406945,43.92274187011755,41.81426015318665,39.93563091331642,42.295586193974096,41.31517003810891,41.78958106791234,43.06296498332514,40.941960330350305,43.19713097741196,39.219402594831706,36.33726380930603,31.95057015540306,31.235759603878947,27.413295484368106,29.15689080591294,26.119499145266783,25.49188694449096,29.796675852240913,28.42079669379338,32.2504816002111,30.321935267557137,34.87929520361033,30.3296049926952,32.28448810912551,32.8950025097035,28.82047444776925,27.145679695822274,23.439574336406583,25.121175524042997,21.464140807926825,24.445607054644963,24.737632156388507,26.640128243859632,29.701161542845227,31.796637029228037,35.42918930474634,32.105236768293196,29.761466997810047,26.34569042650843,25.88175991130971,23.287962334305796,20.176743188240767,23.46553532176195,20.335215135773232,24.840247927651998,26.891157556700975,30.89959707712748,31.831722366265424,35.25036492358356,37.2627381919148,36.61037678295044,34.61286758448394,30.830826636997802,29.915999585553664,29.83569541676426,29.39900940478181,30.968079039108716,33.86420850364546,38.177525519286846,36.42918789181106,33.843977919465374,36.22624865344917,33.39389359522922,30.533085416111483,28.149613497454308,26.666306942239846,22.494887600582036,22.150078642046417,19.197124451510113,22.02084957794719,18.61129618953334,21.03327003787101,23.78333314905176,23.94745666950953,25.261588735330253,27.587283434305135,28.409725429062146,30.666356711795167,33.60972782487436,34.04559562382418,37.78495683133326,39.33891113418088,38.46615166252371,39.79214488567084,42.15230935115161,39.38916788087494,36.11889950282844,35.63490287843205,33.85191065592051,36.10336098448907,35.986267177492486,35.99430286028781,35.46198828542729,33.69495786609909,38.10995266273425,39.38646674216599,39.80548772922797,39.997365188211525,35.1175496379232,40.26934826091979,43.358380755727644,41.336361537118265,44.63462931040599,43.671698820453145,48.404318871209384,47.62945853866482,48.3165720075156,48.967079348012334,45.14715667493934,44.22568552136695,41.540324358671405,41.24373556339007,41.08297997656749,36.40206784528261,36.22648504791523,33.08222587832112,30.38238255294324,31.68948831712479,28.537522839419694,26.019107891726417,27.54321441293614,27.93838033078294,23.22052805519754,23.011597593683824,25.444960241104283,24.03186426071311,19.244207467355388,21.120729538848284,22.179142358903057,17.83787474663572,16.986230912304542,21.163841283601784,23.07376633108458,25.567273193299116,29.797934667306116,28.828623485122005,30.276919798250653,35.47482946780017,37.69029237435908,40.14590164111046,39.383007831078,39.15708855302255,41.51516112181176,39.16974568877827,43.93846438153247,43.29392697856958,37.703868424113246,40.3655832766725,44.54095952516438,41.04278497966946,39.092729869487776,42.773694203824505,43.959405116527904,40.07965273699921,39.450900720642274,35.03722094890462,36.05478901115241,38.20491334584374,35.504262287178896,36.77728558396202,37.01765001646034,34.64326594511194,32.345879728115264,32.30684194563995,31.43857081206629,27.600177306605975,26.841520940658903,26.432373711245237,23.477537392940466,22.113249208115256,26.202636586475105,24.61640051526382,19.980418780874313,23.45795730097519,27.148279407346745,27.876601709199633,30.958213968847417,30.88417213721743,35.16921534430214,33.534225589140064,29.275963036666234,33.575399317587156,35.44460931945101,32.59698097491532,32.70871237426784,38.403412766948755,37.547022080582515,33.44122759872406,36.58639737672062,40.82174443897641,39.37339957624961,36.158268698247475,31.85670010174844,36.1886731498764,32.86072993997068,31.40935140181863,26.769433660680516,25.233210264581327,20.36271931674703,22.732983199012725,25.071533328146188,28.927393119790484,29.440908854189626,28.836181637256264,25.332684859428216,27.59611983926769,23.891573485896195,20.578774311276423,22.343954162533205,22.40313603486733,20.404541241993176,18.316736769699876,17.386084809697433,16.25073721152776,14.345716630373921,12.269920718084292,13.852985344844768,12.871301169783303,14.173307877991832,16.25274693372032,17.336441943502393],[12.23221627177668,14.684091459942712,18.471419020505326,17.518246493079296,22.094124866543886,16.86896639258065,19.18631811468175,20.109964378346376,18.096960122215332,21.665154233664218,22.264272580731916,23.122315613009683,26.474028903013654,24.95597909172386,28.51779039250385,30.49278999698596,31.285101443090447,35.48245018123516,38.90200316905405,41.39361181461509,44.956985948961744,48.85791036279857,50.125662553184604,50.00604265116974,47.15215391236019,42.93182309941402,40.721864122363804,36.499757702425995,35.90964303727182,34.21432985511494,35.620286891727616,34.57141234234463,36.59331252613933,41.03842644697965,40.07155363553635,39.7148855184236,38.57366257768835,41.1324870254284,41.70076465809213,47.26048920542518,45.264411676328834,45.84197933332673,50.04158877206888,51.22900460701007,52.608165112061926,51.7925366487381,56.02237932035947,55.671923086878834,51.2488033087405,55.43993194425691,57.48000356064666,55.88602837611003,57.85168191942681,52.606301387640364,55.05561456032999,58.812779454968926,55.3833275201397,53.12354846498926,57.87649180942933,59.15594061409785,54.606534848333155,54.53001578213169,51.755763711488996,54.04146368049934,52.68940023249579,48.573886944898135,45.55121775830812,41.682029685783604,39.47681937940022,35.885126883286574,35.71436277922321,37.164246765228164,38.50164229377474,42.87003392537018,41.400886450494525,47.11905515752958,47.022288961040374,48.67048698254493,48.50747293192393,50.26562247654543,48.09388626816523,48.68644423336468,45.328975013601976,47.03832388428915,44.842932908847665,42.81114942956061,44.899173565927654,43.93229183287023,44.0635023773296,45.191440456408046,42.80616085771413,44.735260770448136,40.721511344566075,37.94462673745521,33.64487592679456,32.562855370391155,28.831456573668248,31.107555104492707,28.33668206015428,27.912768124483673,32.42346156263094,31.50220022965511,35.284939495141494,33.70283033748047,38.38722104840699,33.923288182943075,36.009301079223334,36.613515694618854,32.54129542753225,30.86305633426304,27.10480181786567,28.544994073107723,24.69380344875621,27.419521771266474,27.28204579126085,28.98413702592935,31.875281368231473,33.81628366434034,37.14940264667607,33.913103146406186,31.39296152334771,28.13062206773655,27.711616484842946,25.46995682282217,22.725097407161762,26.357334145585064,23.70269742049287,28.202457937458224,30.41707342662163,34.46023048103436,35.35263405769249,38.87972119936344,40.76107882681671,40.17669157230232,37.989103475676224,34.08597356702122,33.087761108660615,32.71806206429162,31.953886570709837,33.58839289229208,36.04731962705315,40.392280313911904,38.69409262598309,36.32652829746954,38.80979904830703,35.99558848299131,33.178443309914016,30.95096684948845,29.758771213450725,25.571677655858345,25.550522380503157,22.35280695628743,25.24614453756928,21.427341552854372,23.60003251206999,26.65090883166423,26.80434430537306,28.47790911892451,30.550118699433124,31.74324626374498,33.8518028469505,36.535764620900906,36.90540042228206,40.72227611799575,42.3316845374436,41.26942297017774,42.83115868354338,45.04432442323931,42.360709291295485,38.99292677763038,38.71086747837491,36.845895193429165,39.25601618505119,39.21323012371792,39.18670357455135,38.738540992704884,36.7277965738503,41.271188204091864,42.544483336423994,43.132112859476194,43.28507133907264,38.571352640652954,43.749782845632865,46.80317627771315,44.66094726673628,47.79366433042033,46.63858344359721,51.425357228971706,50.44548212539983,51.36300012044521,52.066201719077256,48.32520418167385,47.48971278357027,44.871534752624605,44.67965033131741,44.56050623385827,39.84549467072442,39.79637112397237,36.61172349674282,34.046614149483034,35.32829970531609,32.26178612894068,29.711334963319114,31.051061861968993,31.478189457858893,26.81440884705604,26.314389582001866,28.708906138202234,27.385932995478264,22.51513619227673,24.079595902816415,25.04107973566881,20.81402702839154,19.645733859935206,23.475680958219364,25.562732397951027,28.00584752709837,32.300609410935074,31.67206986745577,33.064374056332184,38.37973885899764,40.35169890745724,43.0577181225093,42.5269150380966,42.485610559072335,44.95843809805948,42.75947638290679,47.51927969924685,46.741154715629996,41.214891127820394,43.98790003927888,48.07177077056252,44.4720511706659,42.62474466897112,46.365795154616265,47.355563737055384,43.401959972501956,42.93236835405232,38.537476673218,39.75235889783469,41.91446318116756,39.19729199198053,40.5257380604269,40.67232587318191,38.38474724488717,36.11283273565607,35.93802677724578,35.04493248759968,31.31692824178781,30.462675283821884,29.89041617853328,26.928275553734967,25.5778282435697,29.45397376802619,27.692644597556995,23.02931459769144,26.41687787362159,30.015256658257673,30.89635479369279,34.15486088813425,34.317643385855746,38.55675171317945,36.67735632899137,32.55279240666155,36.99701782312349,38.655204716490715,35.71673161323056,36.02930690503241,41.669579061340144,40.54673897895847,36.48185987733209,39.82282014364619,43.936120503968304,42.2389264845785,39.005252180411986,34.602194455853805,38.67666592241949,35.13272595896183,33.70132929210504,29.10578972404299,28.0021837381145,23.177653030321153,25.112978507374752,27.71965553133907,31.513525330630372,32.31815707709313,32.00791200940192,28.642028682500996,31.120046179438884,27.356781934139885,24.16992996746627,26.12250243583052,26.166146339395308,24.17327036176856,22.089109606962054,21.08196505930559,19.93867286881368,18.113916609553772,15.941623587003338,17.30366846295692,16.03432490351962,17.09897837168102,18.980204905970254,19.67481388845501],[14.990636366947731,16.632076198246715,19.6855113508555,17.515597231802065,21.627668444297335,16.2225494559691,17.614484452087034,18.60833376293538,15.618074920563915,18.521951097738718,18.803719432243174,20.174993415847506,23.34961604432619,21.262415666361694,24.794683542161174,27.059684865921266,27.76867795394194,31.756717918568928,35.018783397148255,37.76027851976484,41.16570095749479,45.2325435147493,46.34236537675035,46.27700832538672,43.598861088956475,39.271465691847986,37.31623516705331,33.099849981836634,32.51900548438172,31.07970572868084,32.00771297352078,31.529235015882158,33.49314192866632,37.744339995374105,36.9005962013351,36.36287537933846,35.66207388716154,38.00085433896738,38.701760743248904,44.520813567000026,42.27768728379804,42.51170683237868,46.788879126600044,48.03098318071927,49.344178793493306,48.7609200920579,52.96746304948371,52.571201811278925,48.40208957373184,52.766993380946644,54.73337249718434,53.31507593961159,55.114056583283535,49.84093418320428,52.300530289504856,55.84243439281703,52.22437642689457,49.97689288739945,54.70495813130671,55.851638459882636,51.13384998860383,50.912124033035724,48.08639491802621,50.17668028717207,48.94586356859078,44.93889027527776,41.604932687160534,37.79950351964459,35.35947345235933,31.744837793471326,31.433834251679162,32.71675672821869,34.21245987555254,38.634902997892446,37.40653081933383,43.1583065102706,43.29559317934747,45.074046920006516,45.093153741841704,46.9692223510749,45.14565762346393,45.91491940503144,42.89631338668432,44.755464619602066,42.39276894664336,40.14812065775173,41.84360121205999,41.01871213193064,40.689371780745354,41.85764852475694,39.186018823640886,40.93100702088876,36.95288247173797,34.37928901027078,30.069882635588236,28.867844326022247,25.091365114161142,27.970937405098564,25.523153415400323,25.86869936299638,30.04572617621694,29.909148642715653,33.23230395218889,32.32176175100803,37.11088308330913,32.91940637474183,35.57284658215399,36.20810579866034,32.34494222137995,30.43294463546916,26.54927294372543,27.151736488191634,22.911947403543923,25.209849144163964,24.36343163945248,25.946701845442703,28.506159705390385,30.430890335237684,33.33597469767332,30.109893623055356,27.51961830300349,24.408454567862314,24.274234937368856,22.385423598920895,20.109752351846282,24.355668048079224,22.55950487307483,26.979772625442944,29.647763586247464,33.49888531976109,34.76065443335834,38.45245820334101,39.89347569893927,39.16416926326032,36.74016507765988,32.57000214281166,31.974862497252317,30.900661701572176,29.72017630350888,31.080874530956187,33.1402797663097,37.33762039780026,35.491610389865315,33.373425812459026,35.856807528103204,33.00028626154959,30.30656752412897,28.271900050568213,27.57507334835249,23.452760591483656,24.201341214259838,20.856133870499654,24.380003617498282,20.812964549191054,22.07540888480773,25.01508419578912,24.680639297467977,26.86341152777254,28.278629937955476,30.051147756115153,31.817056737457136,33.98340256473157,34.38479421927861,38.20165086804099,40.07828985849131,38.96697020493011,40.989608883568295,43.202881262595874,40.862996619299395,37.245119960236586,37.11370095190727,34.87188015067657,37.2828502678145,37.24076643467039,37.08308501700359,36.84316676181208,34.420525148305096,39.24749900780525,40.36505911164866,41.303683585818035,41.36969548021925,37.088157800140976,42.363310485768814,45.37081607663892,42.989162216157126,45.67390772696936,44.1430496557325,49.04207992223253,47.91927855560458,49.2202356243058,50.17605468112162,46.497459374892266,46.05273716905955,43.689207141745904,43.82200035259304,44.10242004141905,39.447618596963544,39.800277284029804,36.976166672746544,34.358737409168874,36.280048344681504,33.22269684761456,30.3376496058314,32.151438660660084,33.04844393279523,28.270425440639666,27.584786264695957,30.583901366787124,29.64272812039996,24.556529713329255,26.372195728807313,27.839107491887294,23.620271276871527,22.257963190055246,26.489378924555595,28.13613244856329,31.12395447820822,34.711436990463284,34.044275085230275,35.824162267554726,41.012975426091465,43.39148458079897,45.799348545849355,45.111977314666625,44.696728611392594,46.99324543770492,44.426235364188926,49.11684310408098,48.56420642370044,42.76494103609644,45.24013706324801,49.38718546642136,45.8214294396112,43.644367536742315,47.1424282769617,48.333939036015366,44.36369864456865,43.28934034226888,39.30390253281374,40.22682285045384,42.70523620495254,40.41244693315754,41.5810498964165,42.19980939985846,39.41415230964628,37.05018709253233,37.59752545355268,36.668129986115616,32.558789866428924,32.187081563098324,32.037679538270005,29.052212860162204,27.778910165582978,32.07346020466938,30.564714810790527,25.979935448969496,29.453081614630154,33.188555490435,33.79263343518187,36.815580422635925,36.505354596582876,40.79546013553231,39.30422792485049,34.79500411502064,38.94155165047536,40.88677210727008,37.9560097857131,37.69639150148985,43.54029353203018,42.62779767531918,38.20902154079763,41.18195255489649,45.6090118422169,44.038712550050256,40.58376976310058,36.08644497902656,40.2533783260746,36.64570396075922,35.76335629795628,30.813040787180892,29.73288036952503,24.767728987446464,26.377847200447597,28.725710878794633,32.47787103301101,33.01006447145508,32.985830164905884,29.022149302609293,31.32156564494081,27.061948908009427,24.605241871911595,26.571768249903727,27.22912328795811,24.735105060721704,22.420432634476754,22.428244149625364,21.454002652289947,18.432201984853894,17.085592444848704,19.56517153290767,18.71100293254667,19.895339942148492,21.76888505888547,22.56691009675466],[12.980690210197254,14.096289974389324,16.767355695409645,14.361475659190535,18.361902002663037,13.072934163517592,14.584954742699665,15.973254768954467,13.297051675398649,16.32483941669704,17.16480063528691,18.690199545482816,21.366797811751923,19.492209246939797,23.404856545951244,25.43811876944894,25.820583465641135,30.015887282824217,33.230029577100616,35.82322631385116,39.308360727898766,43.23974751628588,44.416580547354776,44.226487522091496,41.42285897075768,37.17594221401373,35.057337277001565,30.862064208067792,30.475570469381257,29.10513997897789,30.64237223662869,29.94024166571181,32.27644994858148,36.51772540025272,35.32318377356898,34.603888719855426,33.68944399379061,35.82523301737357,36.314456181019146,42.035816076083755,39.7595834313228,40.274908779403894,44.554219729917385,45.656421819769726,46.93953988233238,46.18219971549486,50.40710802861139,50.10269105273646,45.80454350247229,50.04869672649964,52.13885183631102,50.699865059851014,52.643161651948674,47.366794027706604,50.01004466679216,53.587029606310566,49.994150997250024,47.905396549907316,52.69543140915693,53.74585567608845,49.159516011118484,49.20431617441132,46.544459477509584,48.64541625697735,47.1851596936578,43.143537152950714,40.02533026206214,36.27676461272799,33.94032656793044,30.5197204058839,30.24262094866218,31.870057582707823,33.303984464157914,37.53520949984645,36.223154171616905,42.08633345999997,41.85375032288319,43.78595539958578,43.522728951858824,45.171063397349,43.198054454852596,43.691104653628116,40.65573320420472,42.28231000973528,39.834791133788656,37.8193023867775,39.707432337565905,39.08399246533669,38.91842444122923,40.44020644606141,37.90468214449508,39.983663340260144,36.069772849696776,33.50486068629671,29.026744871602116,28.23161656061325,24.252395250560852,26.87402318118097,24.222757156171138,24.698197639025484,28.440570651811683,27.996728652470136,31.143736068521115,29.94818691058121,34.4739239389089,30.149219629404634,32.772605027478896,33.22652231784408,29.314321627509813,27.56552248506156,23.56748897398729,24.200229616748228,20.036441001390777,22.30935224946823,21.797680388034227,23.333845557451724,26.157761132272725,28.034832756354312,31.3423793363372,28.204391837272563,25.60859460302582,22.359178030296412,21.909151752780193,19.770989875834857,17.263550098544552,21.283483899800345,19.412688218925613,23.832122752580197,26.4903304308155,30.43816689516211,31.55742602410177,35.305598872845756,36.71412219405118,36.113884653393484,33.58603787065979,29.442808672886823,28.73323528508163,27.773080723716703,26.71928781316181,28.18323999360745,30.44656682955776,34.7235398362958,32.98195855704699,30.727382183566505,33.27060819174808,30.550810179151412,27.73021760641112,25.757070536964573,24.934165119428105,20.903285409988282,21.661441636554738,18.739606536632756,22.517084966765644,19.583256918014175,20.88657484043732,23.386156266096897,22.77541240463778,24.63888910016807,26.071706870973777,27.429432383481252,29.013251109656657,31.4245625925417,31.595822573016367,35.500891595516514,37.16097591756007,36.00593010127398,37.89414177331819,40.097336733143436,37.681372389261135,34.110715675438186,33.9521481601442,31.813015653634526,34.30679411609281,34.37439467791314,34.39210536146672,34.27774248042005,32.07596221197197,36.94489897938344,37.8516442945249,38.6932183795885,38.55548104660394,34.22530637567307,39.39587579602373,42.354289205283244,39.97450862245912,42.80162297912408,41.41804404667494,46.24018674022312,45.08146869233826,46.25702458905626,47.11610257444696,43.44489883869463,42.89521201844655,40.49228070302935,40.60495603977355,40.86332272460117,36.19878443387501,36.59995349453921,33.799519422810924,31.2502821465398,33.28671151514466,30.342106643787545,27.319478481633904,29.147170296588293,30.248595907973694,25.477897847112267,24.617823421245465,27.830511506996647,27.17454702941692,21.939841698139748,23.833024252806652,25.58086056513095,21.45241239324171,19.961647092725176,24.410258377089395,25.77606102620617,29.04338489255172,32.2305842125745,31.490319092318664,33.471608244409495,38.565256819425045,41.192115835673526,43.408015205908086,42.698634436489286,42.11088169601649,44.380579468353254,41.733133034802336,46.3494544423834,45.7983144716982,39.90755475976336,42.33105680976894,46.42935458306037,42.8408917995503,40.596997034692635,44.05474916591712,45.23590362851857,41.26007158250779,40.091717961901374,36.18874811550722,37.16208871174323,39.72433127528425,37.59427700599999,38.85519337732439,39.71130895774242,36.86579043062489,34.34937317340709,35.09258730538049,34.37630415159021,30.08840600616411,29.685192845342623,29.891407651129022,26.998747659775493,25.496653930377626,29.983316536483134,28.780574425932542,24.187336841476217,27.489689265059422,31.32956326170304,31.656166454798875,34.58819979804944,34.0675317363722,38.318261098926094,36.948510473748485,32.22947977682272,36.25280476650226,38.26040547310991,35.32299844615347,34.83006622900473,40.73337477831864,39.89769458781311,35.35451715337731,38.19015290506535,42.71160223630121,41.21742549599459,37.70543994450585,33.21781892143668,37.48007523548624,33.944154809494634,33.2164996135544,28.158953668434542,26.961047743776536,21.973575946678444,23.606065945183452,25.786322564976135,29.53815465793958,29.92688729913239,29.914145486014572,25.832728488163195,28.13361404294763,23.833691995090785,21.503548847868103,23.686703673798323,24.560872803633345,22.217699198286898,19.546356247199768,19.74333738082043,19.157993867044176,15.825632600862193,14.32237318278273,17.34608982065746,17.012347635066533,18.344315205651537,20.23440313696996,21.181627227341348],[16.07674985884213,16.491852781762603,18.509814220780754,14.814014556292724,18.412664682822754,13.80126349782174,14.33457965513135,16.250158974236673,12.77107114803821,14.582876401007914,15.406854739761375,17.845085565716925,19.742321974695614,17.034519469436958,21.20854786891361,23.53467901541132,23.42262953949754,27.393830511433823,30.15481188218836,33.11359052020453,36.33955528670752,40.436168622685386,41.33890471857615,41.02884335802428,38.467172305617794,34.111669012945185,32.33831111316891,28.22856654263825,28.156274247081182,27.32387022717021,28.564190140484726,28.596790649215816,31.042912685015597,34.95715321981094,33.73364849421392,32.60521220530603,32.193101634424046,33.76482822107254,34.20746426043187,40.1847037096902,37.43091181293392,37.736405162353016,42.15045482331246,43.132519674239354,44.18961431438524,43.55617671480962,47.75083561576164,47.58166052265324,43.56148427395516,47.86122513998851,50.053382125350865,48.87622107712772,50.75400355271852,45.455979250543216,48.31604132297333,51.59369758380806,47.740316490178245,45.85708246697275,50.648132792323516,51.37750595240251,46.661987903712394,46.72257853963438,44.127605083931314,45.87737313001293,44.42287064334968,40.56720287408649,37.06353489963575,33.52772134107469,30.775351891512106,27.526607256497698,26.913210951810235,28.40864570648437,30.228030236749422,34.4082681181221,33.54887014503183,39.51984558697057,39.43969308943854,41.68293081541715,41.511204583915216,43.15345763500718,41.584161802949296,42.07865181774983,39.512877340404486,41.0968862745126,38.3446039431607,36.303681150993185,37.784998668362384,37.56101089186683,36.839429453322694,38.6734130016461,35.80624346713332,37.77206830872245,33.98021345430459,31.763008778552166,27.239106198750417,26.475499521680636,22.393468294231745,25.74685996487983,23.489962340775136,24.946514526861527,27.988911837889106,28.2669637232635,30.717070896041506,30.083598783978275,34.40953451101195,30.31098061587261,33.39554244827689,33.65122520335291,29.92296643626162,28.228402015343008,24.08348041512236,23.84860720705478,19.444903054696443,20.92874305105488,19.74237091363803,20.799069227568218,23.396624965510004,24.964241143782296,28.014933748305154,25.163190298910635,22.31215411233048,19.281155168261016,18.720299314520716,17.106173850666735,15.329166241518726,19.808303069707783,19.181931193292648,23.32856468095658,26.40900791406731,30.252256084947515,31.427062703095583,35.401808452770496,36.27882035699769,35.79476990147116,32.80852113867304,28.443461374139464,27.85661572742637,26.161625035965862,24.562444347309118,25.954620893572386,27.57499732514086,31.801397318274997,30.143924319892687,28.221325926987284,30.91817395799495,28.410623023973322,25.642415088407343,24.156141226026808,23.946099118303575,20.23562479257182,21.919183938843705,19.296875998892602,23.698178055560085,21.38346670228619,21.807238051618175,23.898937796862285,22.59247766872848,24.763958489633858,25.38340162272816,27.043831042228092,27.923508493317296,29.873262758026407,29.69788040522667,33.73459869701388,35.382417729066205,33.940652382191224,36.280487111693205,38.28830174540486,36.18215182597696,32.41112615642452,32.56169356910247,30.18419322327857,32.90684100565004,33.18900844905922,33.279883767331874,33.58007082824379,31.104170802107273,36.299834216412414,36.80416792611479,37.97325325696782,37.4783378673401,33.67855612965538,38.74472867708007,41.533686990405315,38.87003466473149,41.29739265398662,39.595764355055465,44.42469851222424,42.89294391036087,44.46928690201394,45.46700543833255,41.9737812393625,41.71179875117992,39.5641992486978,40.0157450581663,40.60035696783974,36.005263207921224,36.88570453377101,34.389782350965945,32.04955648544763,34.610686883977614,31.91798762521596,28.552684873246054,30.52290339605862,32.165447591232535,27.464463611838756,26.082073916967488,29.810952790892614,29.76683243011932,24.298770557155976,26.13447994357315,28.355286039682532,24.470232087457315,22.562030804421738,27.09355621489178,28.022684167831155,31.815281124514332,34.14695155813643,33.59814730679937,35.969303620058234,40.93035298804377,43.863875125643446,45.875015204523685,45.235862329151985,44.37400342985237,46.57625750909479,43.73519861804969,48.18054940785379,47.67741489083452,41.60161252560153,43.83345287198828,47.806718257169685,44.15811229769156,41.71795405522569,44.972451909990866,46.10055768056371,42.07928107753083,40.51608593729546,37.078138169042866,38.06055468232023,40.92354291843185,39.280348403956985,40.56329886644327,41.90716032076992,38.76192027691575,36.07387897003259,37.38512308515578,36.85154820283657,32.27831048545545,32.08304261418357,32.776067051463905,29.987847863560397,28.345051800858275,33.05141103219973,32.16960564386722,27.633766724091696,30.731823062379537,34.65224527959521,34.65623099584957,37.465090570632725,36.624039601747626,40.79206273827811,39.6126858640647,34.58482398626031,38.35771553191542,40.42745594197962,37.441655236204085,36.489302270249716,42.48499986348066,41.65569089742748,36.818789883405664,39.379757308651904,44.072162467318854,42.54673904735602,38.83620767831447,34.266478558719626,38.404607223583426,34.761962331459564,34.627655619460995,29.339514275594116,28.43138565027105,23.505336704443696,24.50893150129288,26.48803082112739,30.056366574962073,30.338639752437274,30.817768635592586,26.398014886505905,28.703175973861242,24.063257289692686,22.60643300995081,25.115910418374526,26.580469098543936,24.14422032907967,21.061000586450955,22.010362393314324,21.901690981242897,17.799640308560058,16.644639016025465,20.443705640540543,20.56595804046834,21.92454423525168,23.671293454695434,24.520875285888664],[17.14735449689169,17.034077501980832,18.749754694320092,14.125251886603268,17.805951772019334,14.488670158022124,14.83835815118971,17.593851634677257,14.290752249793732,15.22683641565337,16.538826976517093,19.609966062266185,20.46955538703825,17.32216611368249,21.91017657869422,24.240825105098086,23.36225267382754,27.22201839969439,29.354204801443498,32.55411561500838,35.525073914776364,39.6320834852772,40.265172642939,39.63049908971583,37.253913010138916,32.90048329385094,31.37201093737826,27.45347579139422,27.970755287791427,27.72403689612182,29.2078727357117,29.653033099881753,32.40077742592339,36.01759205582074,34.53481657414743,32.93378887273375,32.74178692539389,33.598287095078284,33.72486599443191,39.75518108576173,36.4861773454831,36.960440653280514,41.48888554298648,42.14096509266352,42.86621695797086,42.093184332289205,46.25923001472554,46.42500549811458,42.53755796504453,46.660732788389524,49.16699162555341,48.22131507022048,50.23742500450626,44.94633405743606,48.21222323877633,51.24992392614184,47.20025536207011,45.704010347568754,50.5288291745038,50.84555677302632,46.170107830921026,46.506524744598906,44.1364860611612,45.523786267680855,43.88017773043886,40.22166468157082,36.52663583195694,33.320628931214856,30.20920657688782,27.37560988093584,26.379722949698174,27.89756221772752,30.143434390409638,34.0829139187213,33.67980139274064,39.76268327283607,39.5722429992069,42.19111001098098,41.88805769308901,43.316803407143965,41.95840619630526,42.16408229441886,39.960868046358186,41.2243336660362,38.14550647844612,36.402407949978425,37.74386828065318,38.058193867112365,37.03302518709613,39.39840125380008,36.3841734732049,38.44169894600706,34.838395011838635,32.94184506766139,28.362963594569806,27.85843045376576,23.690744678458852,27.347845409387894,25.264230553633325,27.27849037031165,29.61467910408636,30.003796257694898,31.89309763234661,31.262913990797635,35.09009836409518,30.96445999272892,34.12169030066495,33.95536270881142,30.22351545216983,28.94307039763952,24.626241333367368,24.05469329638616,19.77980045243755,20.52362778473682,19.316794305958005,19.641599903780364,22.37331315594548,23.33446842622272,26.62172547979174,24.357712356742876,21.1926431254329,18.382589051709758,17.045305370627563,15.835537067182338,14.62077773460891,18.85178663366835,19.1356350268656,22.969232170944224,26.19057779960082,30.176079116824837,30.916256360596726,35.126904685096335,35.63934206618523,35.5920678187319,32.06166368156124,27.655413783304766,26.66246676940317,24.655829980902556,22.67987644321026,24.414670804333575,25.454491021464648,29.826138598274348,28.603301389442777,26.908997601830723,29.894169611218405,27.884213674114395,25.019960415313413,24.13801907806259,24.245701447941386,20.995707163749593,23.143739890148918,21.200758710926788,25.911821728014747,24.26002829563382,24.461594505606225,26.059586713968812,24.242980144901868,26.209968054225318,26.38686870458833,27.695290741287018,27.8011324236865,29.725460408127333,28.827121933134713,33.11533514365512,34.30115597299015,32.37812500860007,34.86135098584345,36.49793006495997,34.448068096172896,30.657928089449488,31.171254924482025,28.925813131710886,32.10176080173347,32.799212066657795,33.24282297176767,34.007279454423596,31.659963188884433,37.044477329932235,37.02274151493814,38.270870536233666,37.21968232213642,33.74665737889161,38.49054389688581,41.0348006490944,38.18055485691047,40.54349919291375,38.82501783017874,43.48527208439796,41.45839122737432,43.204287886284,44.079334570740826,40.82593296059133,40.51882393876722,38.4692343765942,39.09207208077769,39.726232192156665,35.13795378437276,36.37403049215346,33.93568806910557,32.03037542171374,34.7731690435586,32.50575959436611,28.870995624038915,30.53476448309316,32.64277174228775,28.122239930671714,25.970818031326026,30.02048084141545,30.688984874715622,24.91389449190921,26.434178943672933,29.05327306950252,25.54131689115526,23.043540991682605,27.45073586911934,28.001013159123122,32.26623632789219,33.753808283262636,33.5670318645051,36.277035541253795,41.154730017212806,44.26575439126529,46.20496908265204,45.85627050438988,44.88687353746613,47.18264529880988,44.39290721347544,48.630389863592626,47.93901845890116,41.79473818177986,44.05137496467009,47.73790273424764,43.908817115787,41.48895717877265,44.69808094377597,45.477136900560815,41.36145080208386,39.82254124451327,36.690559169080025,38.085188633916275,41.130846015796656,39.85226422133663,41.400128679332724,43.10158130362092,39.97981693204234,37.04280913985725,38.54767240032034,38.41343301581901,33.68990634260371,33.28781102348866,34.43836963769783,31.83236874871943,29.788179012320622,34.5414612101762,34.01352700261343,29.43794138112912,32.09951252090021,36.082895788614444,35.74326913530199,38.590122017237995,37.65212239212277,41.64602239758256,40.38742086334885,35.146388197321045,38.826339589472234,40.70691390017371,37.59871717748698,36.42879912538349,42.4156568146232,41.360075547004165,36.33917973082956,38.842941906331184,43.523302124334,41.791118622506325,37.94253742343801,33.29005515830658,37.15686496194527,33.36854083256753,33.70646567433949,28.316456654160636,27.866801504231862,23.11364846699552,23.39050575016194,25.325822600884624,28.669139289162167,29.082297072029984,30.114316002217464,25.754739356469766,28.3499970781995,23.684824184205393,22.79664719190093,25.961279996079867,27.766902937664945,25.735899744119678,22.09121773959344,23.16372700519063,23.73575934470003,19.509003227206225,17.870633886850207,22.063647526142486,22.687014057265955,24.049682967091737,25.618479760279552,26.28605352304131],[19.731505907657738,18.982853570985018,19.6343494957498,14.607181250132607,16.87786658199791,13.95125585285403,13.06268193624249,15.85071468442525,12.239213047336138,11.915105869492725,13.38858636794621,17.016238571522415,16.946636530518482,13.449047469427335,18.228537453091615,20.522413663043917,19.217360106577882,22.97395254307188,24.92192579119703,28.167738337321673,31.078903637573212,35.190954816004435,35.79330138496161,35.17065482918263,32.80604574420215,28.43646070750628,26.979383520390726,23.099529881968287,23.76270078919321,23.844592520104477,25.386053051574628,26.15574261852296,29.091042223400976,32.43159925842508,30.78784654823353,28.908590459103294,28.946377324725283,29.438591230224066,29.548925638570715,35.675117110395576,32.25269458788918,32.59260044523408,37.14664282627709,37.79373232286547,38.50457794073119,37.85038511155804,42.00106633729518,42.10975275203865,38.350835527911734,42.564141558278806,45.0055231913185,44.16238231959482,46.09355994585392,40.812762675367956,44.13613237288547,47.02642096423496,42.89017041181974,41.48185430415909,46.29477092893901,46.488558632369404,41.79282858873948,42.18924446977976,39.90901245053273,41.18740816260075,39.47641788085703,35.87328897306992,32.15835491016487,29.05408821655192,25.904005479463766,23.25870710817715,22.21689338441487,23.971337197417476,26.19187330585517,29.944200061880373,29.61756407274258,35.74934142642585,35.41628212254731,38.21877760353659,37.833833996535866,39.173553662852626,37.9922894645634,38.163118999823304,36.25613748388646,37.4959993002201,34.28085156309943,32.5050328086659,33.62016963304733,34.18406432031481,32.916759909694825,35.55619307518261,32.478666825133345,34.656854588463275,31.203470979385795,29.52671556313861,24.92647748655438,24.74791066559768,20.53654510851477,24.328614960162334,22.49634705901167,25.221095845349392,26.74392998625419,27.599652597980583,28.842654421039686,28.671626727458346,32.30072990968022,28.51788282509034,32.075121657192845,31.89562456785401,28.51774201646092,27.11122381634778,22.898516864836598,21.479216875935162,17.139560470013063,17.23491423528361,15.437502218118654,15.540676177803233,18.034630446209253,18.99776486381654,22.15339742114612,19.929648428716813,16.728474233879176,13.967556619260517,12.712775802046913,11.784836485798163,11.236026557790042,15.84915280144605,17.17216942353208,20.58052901359506,24.096780793695157,27.70270723417512,28.806516006140665,33.01231640597638,33.104151583037414,32.896127630654476,29.2607751146022,24.735126584741217,24.28470383170535,21.639075956915498,19.37890995200338,20.697913609442523,21.541807649130917,25.733302193775813,24.32715262326803,22.769640432131258,25.720869733668707,23.756849518719577,20.993343055973593,20.40466684507803,20.979698769159157,18.122898860498545,20.976191306132556,19.430944907767607,24.473092742265894,23.617033525942347,23.076502862295055,24.087869342219676,21.69931162597008,23.77432749838813,23.274562044501494,24.799165748440203,24.430851926330135,25.919847528825397,24.968006180757136,29.208407635165518,30.57783775593325,28.71332606512451,31.53560139521294,33.25449757925967,31.560515417226313,27.604284993422993,28.1527572232185,25.564115363719182,28.63031412448743,29.325325449747314,29.707192166067898,30.71371978264301,28.1857472710529,33.71521596702581,33.43007320748775,34.91364961495174,33.7246801585863,30.702891522702345,35.39832493283534,37.85833207910603,34.8529983423926,36.832578375458844,34.86870891116958,39.569010532164,37.51375897204736,39.49620557309106,40.5872558909762,37.37575659976599,37.42489078500179,35.632243932759636,36.52808467326134,37.544851489572466,33.14938560657266,34.70098594736924,32.73696168023016,30.78185137680916,34.06908966328887,31.867885462614097,28.09048739795354,30.229501277143292,32.6582122468639,28.24368210739306,26.209450211996483,30.58852754514319,31.476244708911622,25.925666883072644,27.718144704867807,30.600211076246637,27.215952768632306,24.9444458183561,29.538538825371862,29.687393405496042,34.14051330129354,35.08195925296342,34.64370441250425,37.56903197280604,42.14253410048097,45.619521235996984,47.14741028567771,46.52955809907775,45.174774925847196,47.2012561444614,44.07531550591962,48.16591783735078,47.76865713249561,41.493435307603185,43.358368090484696,47.081195197178054,43.43418898092381,40.70383771367126,43.57063798921897,44.65621372043603,40.668947667862966,38.4723523392949,35.821110162507246,36.77152530232812,40.03275532984568,39.19800294792027,40.53307942335184,42.66555919597565,39.153618978795734,36.19990263515152,38.370297564013825,38.236253357701315,33.30571136288891,33.37467138498049,34.912107027238015,32.410947907177096,30.51808181563543,35.47700814202135,35.22581320183973,30.91729857803445,33.58372351789984,37.558749136028695,36.97647555975493,39.45787238826538,38.05242538103076,41.99431753421327,41.22159510468312,35.77933402892994,39.003464284551455,41.198787220281986,38.25064643095654,36.51697283151175,42.53697468913546,41.8656038181881,36.672964718977845,38.64210839682917,43.56175926439512,42.156566674810286,38.238251915376146,33.7308726366394,37.735143523546014,34.17548575458028,34.92540237260931,29.44896897792241,28.745017500918866,24.149038015420746,24.405105293289942,25.781689653756462,28.948526697448532,28.859699977452888,29.92101134812846,25.08853635922538,27.221698775331134,22.304923401640142,22.27788097857685,25.181665699444984,27.495314472338045,25.197038974649956,21.53651371511472,23.52886069065019,24.258137204998054,19.370217622062565,18.689707375282353,23.406964890431475,24.365317330650676,25.79712205902139,27.352619082609063,28.197495146123675],[22.542290886158536,21.471722989320288,21.90290686434239,16.276266169763883,18.407334281602868,17.06029941922739,16.072366887740294,19.387304914169835,16.136362134386566,14.919082582255037,16.585884199218974,20.595652227430463,19.492720867009897,15.61432335378134,20.40344089129494,22.671888709477855,20.491915963251156,23.79403467045213,24.718936123334323,28.315210909994164,30.72875025852549,34.84576399000747,34.997878851513086,33.94761835186251,31.96655879317743,27.643589255561206,26.69532383449969,23.233053156924896,24.675209923863704,25.57404453628109,27.13797582142245,28.53667898070168,31.641913861846895,34.511807350566706,32.68908661684502,30.270857556570448,30.714808855548856,30.25991272559729,30.006127339509366,36.13083328407005,32.02317537149286,32.45770812704404,37.102253062022605,37.318206035542275,37.53588920059485,36.77893156838525,40.829851999147174,41.38389943377887,37.942273105206176,41.912137330257735,44.71739210005891,44.2362129586225,46.269043445381676,41.06384333288771,44.84177550373755,47.33448430885066,42.9452632035788,42.04524092895219,46.82074895296725,46.456540131039425,41.811114232475454,42.48872845764748,40.495970403596935,41.22429647682222,39.35338728926724,36.11237994697297,32.08443632940854,29.523046257795336,25.869410732369623,23.872958248464368,22.268239082805426,23.859092173990522,26.678619823685306,30.043656695410217,30.433549355246885,36.55603608692057,36.21458487259245,39.44623620813002,38.99491268609209,40.10390733325669,39.310182299290524,39.193506541437344,37.84529062919204,38.72254581716656,35.14108987049956,33.71446306622314,34.5083039437932,35.739645869804214,33.9923770575695,37.18650004091351,33.90916208039381,36.04337085144854,32.9016553113871,31.70042068643322,27.223318151431442,27.24076854258218,23.155948775558446,27.28111103921401,25.791474048812887,29.029484105382107,29.843984731854626,30.92480515758227,31.509437756687866,31.466529355149966,34.48608340872335,30.822993403348754,34.42125815219819,33.78831115789936,30.521349659523572,29.587320121694482,25.342004796000744,23.530486402639685,19.56258309085043,18.665407794819636,16.77457468922059,15.731341543489266,18.084027328188945,18.000796541484174,21.18301865371581,19.97671072097484,16.433476281152235,14.35990817690691,12.050086395113205,12.197247267650496,12.846091779860354,16.718470754519146,19.254700720604127,22.04205166215733,25.611163138267685,29.216605572932902,29.80852158837074,34.20201105147008,33.78117667287259,34.093661143667894,29.842767183329,25.377182527152982,24.487450036174305,21.35059100249538,18.488017542616895,20.166185742045453,19.855863913287873,24.101001946720803,23.356440684041544,22.31339290242565,25.577182396209047,24.36889637755967,21.657779452242934,21.96418279023691,23.017607832327684,20.869307431782982,24.121409373008344,23.221835555439423,28.368098820824397,27.98801443871238,27.257805938535935,27.87541453255221,25.08730559022033,26.967911020595647,25.93929883694569,27.136754470346172,25.818088026955657,27.07608552800385,25.2183710928517,29.649974660539943,30.435996201086944,27.923380208302138,31.012533180014053,32.1642086601605,30.678188123896298,26.73442738391511,27.82738188944116,25.413373984958678,28.995026963090208,30.206442239795408,30.98213273881055,32.54925760469583,30.15602629439889,35.79315450094972,34.88474253061679,36.50241252406735,34.659068870892256,32.20360956691176,36.4077478818587,38.504810322688776,35.27155465420083,37.01896645858844,34.97102210645049,39.393311869764275,36.656600146346186,38.95105192793258,39.923557449583676,37.10396459138543,37.18161288874416,35.606407050862515,36.76658293825423,37.8881938317173,33.60672669098324,35.61194705418586,33.79514428460362,32.39728219391827,35.8420543256307,34.14954880995803,30.16956068956393,31.92170036621279,34.80525331834847,30.671842629114376,27.872153010927423,32.47594371549342,34.07134275926221,28.32531743622132,29.730222689139534,32.92952232474204,29.958527848242216,27.158785209900405,31.488077933574623,31.275321634261743,36.121023791351625,36.159741020086805,36.15861219528994,39.39381361520829,43.83357316154583,47.44060669846021,48.90076978298261,48.6210124655209,47.17672980784601,49.28913746775022,46.251690876881035,50.071266283096776,49.470524383976695,43.18922005621463,45.05217196885211,48.40346857675149,44.58964712069399,41.911347852302455,44.670527604061476,45.33158384238235,41.28496381323483,39.116119752755544,36.91499883711462,38.31192686174893,41.74334800730025,41.33865435778011,42.932746501941416,45.41578886819323,41.96193866557796,38.7970143267557,41.13765812727059,41.3940814278453,36.38751928383407,36.24793327820784,38.17994276228781,35.86663528437304,33.63023840461269,38.54926420331425,38.59977445232161,34.27609578592374,36.51695495055791,40.50624978710294,39.620548536332606,42.136609431118565,40.673725005844496,44.39239912400258,43.52494049283077,37.94196194026779,41.03389872766735,42.984420105168354,39.93573765708316,37.99801294619457,43.918345977176024,42.984805246681134,37.65731954379056,39.524603956481,44.359930847873386,42.71764645679777,38.68666953176523,34.16015759771438,37.73131883830045,34.049889923069465,35.37598539699891,29.913726484590025,29.795189724961602,25.544711401101168,24.93030503399344,26.201995527118292,28.967569974604487,29.041603251209597,30.780425458727624,26.157719072325204,28.547823013695808,23.76637859003645,24.41592943034306,27.890419741548612,30.47123849071365,28.60209902301346,24.543677646664037,26.549467953100443,27.83859924637176,23.025250714809527,21.90210058338187,26.74713641448986,28.03465934586086,29.42739768384293,30.805138711568155,31.442451650650153],[26.1243180131343,24.96395943098214,24.864995097758346,19.45604193051887,20.378360815758732,18.699587061369517,16.62436076618615,19.229253258097437,15.53258488127951,12.987025065163067,14.041264820165686,18.36371109355586,16.647334106997437,12.217277377050232,16.56760476514006,18.99583161305043,16.654843323749947,19.454134365691154,20.184257433817077,24.028175451275306,26.27972907460693,30.578255143863817,30.650741911305936,29.83932393498058,27.996823790194522,23.54535604481418,22.899408841493294,19.47603727662262,20.793412329774448,22.035888183908764,22.940665523001922,25.023161386346565,27.962783896551333,30.44631536699333,28.78524181582958,26.216291748903032,27.210845932668725,26.555428034251218,26.590258765998225,32.90830954581107,28.75739973959532,28.601771302753484,33.24368067999465,33.685895132865724,33.99495485899053,33.66396391092786,37.657913756757125,37.932689841311,34.81130727701695,39.07346968969781,41.55191138347427,41.189531184390226,42.905903071965504,37.73991821279536,41.30231868120548,43.58570357470141,39.09074335661329,38.07472070355716,42.75366866225868,42.389071283704645,37.563947535184475,37.991777296435394,35.91755599981614,36.523986584169435,34.83223427895875,31.679277950479303,27.379944445415063,24.865925050384597,21.026857386927013,19.06342173860359,17.322318427154332,18.884422816473744,21.76198662793488,25.09012611870585,25.67262641681615,31.755463184578453,31.612477222559153,34.91752121505878,34.657263068790634,35.90575833911606,35.50101769640647,35.677526313624774,34.713952465911596,35.856444259736975,32.27104435240024,30.497417654235402,30.76245448518887,32.049417986017346,29.813267854862683,32.9639548793048,29.46792401553449,31.422473389950056,28.428756507357853,27.535616607337204,23.238132454831913,23.320439883140835,19.441715077158214,23.937494610272907,23.00308728063342,26.95074314521758,27.140428930990037,29.073554907876158,29.060869781276942,29.882617050471485,32.97007428149312,29.91979937612952,33.979606825386284,33.622672865933616,30.860676286925695,29.51493027021693,25.60017075225611,22.919205085350143,18.910150730671983,17.49499438484766,14.467280776238328,13.345934014043793,14.687078188672382,14.783243051531946,16.959097573316807,15.633776477918827,12.073871539006804,10.456689410853764,9.154317398393188,10.33130756143505,12.156348878540843,16.453753506977502,19.777654794422563,22.095159107807834,25.870009692440473,28.79684174464871,30.117226497084815,34.30461793922627,33.51396106860462,33.34530041437527,29.31087790319567,24.78615037390306,24.899178157577563,21.058215949563316,17.952370596043593,18.643030751431244,17.92310887357935,21.57108427558443,20.268729425927315,19.61831613699955,22.596878225266323,21.202033135837183,18.9101667127542,19.45054339253768,21.194808322036543,19.437281825974992,23.31716963781513,22.396542111259368,27.594430804664277,27.583067721021255,26.01016922749369,26.30516602357613,23.166172166391274,25.46007065243446,23.64777403298276,25.58647788274436,24.05274453845648,24.39480247290928,22.952214290219317,27.047588600527288,28.46821913685081,26.29578750203247,29.911782012545814,31.298381481736623,30.401747277269322,26.289080254644656,27.291484014491115,24.308731531810817,27.400007428567598,28.34246284507868,28.7378334655489,30.37644364797207,27.514348399504172,33.20624493194251,32.26420642351384,34.273546440429286,32.60746120345255,30.761093426907134,35.040922163846616,37.1220245196595,33.77606600308794,34.832186388783214,32.293062350225235,36.86213687691787,34.2884791410411,36.99304288673385,38.403759584750254,35.59356093777146,36.28818531507133,35.090160937209646,36.55550649627519,38.16226712026962,34.18359019743196,36.37587325977052,35.10204918859366,33.43508901891267,37.33043988564327,35.47750541938314,31.55144566640232,33.9307166596466,36.84056523174112,32.731576876504604,30.476702216158973,35.16455950412656,36.54385396877544,31.167995928405464,32.944369509837486,36.12583892665874,33.036430291092906,30.696784824704235,35.227734558116815,34.936416284995495,39.68389229155223,39.739011486325126,39.373217549868755,42.60118582514531,46.82980003760376,50.63745215613714,51.794936629937645,51.12327695638172,49.38776218873485,51.179407583734914,47.785317728366174,51.55535087019042,51.365309720132075,45.02035816160857,46.45141636746342,49.97702550660019,46.46802667636786,43.47316962250907,45.85816783056932,47.022062603038286,43.18639804726521,40.30897807093937,38.51062918620334,39.1822678650999,42.72585662087601,42.599246175100895,43.78559127446555,46.49200695792466,42.61415054339412,39.62286873548035,42.530407461488245,42.516528048674914,37.43375932435063,37.905872049080585,39.89511083307858,37.56712174477925,35.74106399509538,40.78967938923335,40.84431047593767,36.77064075689917,39.28414591766459,43.22582648475725,42.35272564344999,44.53385428844347,42.7144570575124,46.47409147988812,46.09468017644225,40.473132063352914,43.189999755611986,45.525219201949945,42.6927508861421,40.37041806954444,46.294495778952125,45.8269342325464,40.459589519869056,41.84745057123347,46.886205288271555,45.64427334871903,41.63332635389886,37.298390887842416,41.06704090314655,37.64956786682139,39.10117342212056,33.64011532610413,33.13046074201335,28.929281985477655,28.635473703160567,29.499022313287714,32.183862897444534,31.764890705661763,33.265682472231354,28.225158509415063,29.955656175968603,25.008435746914923,26.213126033468008,28.98638630865162,31.838408070344585,29.445605627471412,25.805571168721187,28.56525690830291,29.552839363206942,24.275261321905496,24.273849529050892,29.267193265792283,30.479847033468637,31.91208052444519,33.365419179105025,34.182054458384435],[29.890518185641717,28.842075654087424,29.03499995744611,23.36219297575949,24.67402340052194,23.564631217985507,21.73333053951999,24.492554077124232,20.779156734386653,18.14739324871829,18.88323759894699,23.22260981646122,21.385685870684664,16.757631049303694,20.502008012164197,23.069004803368717,20.461534229591276,22.435825845110678,22.085807704635425,26.372287358405863,27.878939922498258,32.256100969703944,31.712603293999084,30.602255690849717,29.443149274232375,25.086259438566426,25.267937160340665,22.421771216045826,24.181911251168593,26.03054729987963,26.2804231831127,29.12569202055557,31.82763102657216,33.839009224183584,32.38483636627496,29.53518016823932,31.11558229584388,29.810175676101057,29.73330083059409,36.000297246729225,31.307707736222675,30.891746943947574,35.51137233730629,35.65787043788223,35.460414363649654,35.268930916294515,39.03838638397928,39.668972997296166,37.121144906417314,41.19139620012421,43.85861459256013,43.90339483930414,45.53185440429273,40.524057959054595,44.29869150310325,46.09328251817791,41.355722082900954,40.71138924218123,45.21870017782215,44.358602630141434,39.49322020308089,39.89988198033283,37.97851076173792,37.9261462810258,36.36928356976852,33.73099074300591,28.880113662992258,26.983594481971107,22.534278353030466,21.136415638180615,18.74262214045187,19.497183603793765,23.154938961862754,26.190997488796764,27.72668070195693,33.55793177430509,33.85384970825558,37.41308349592468,37.40430852708328,38.647500523810244,38.818377681477855,39.00175609293916,38.60450042583928,39.62275902132381,35.841759587182594,34.19142156297069,33.93524156332111,35.63719660124312,32.778638820242875,36.063703733026514,32.25274873868249,33.752607240177205,31.075032418518106,30.692892405288045,26.752322782574062,26.608666587465347,23.107007653997442,28.077966167473964,27.575266634254454,31.773096366859637,31.801857084878883,34.09371846055655,33.768582208932784,34.85651056164508,37.688524733693,34.79141147532893,38.8610366919049,38.2844839685624,35.57728123403107,34.47449503913116,30.547755560859482,27.765027915321983,23.95765491310866,22.141210883809094,19.04810184160909,17.274389324276292,18.05596204683332,17.190287181761466,18.495197766482022,18.276269132862716,14.715683498858235,14.2234220985568,12.696417146710159,14.755194396635439,17.070645314655103,20.83669325079782,24.60325699205434,26.648851552973955,30.38514717888963,33.29524033959541,34.27375658674008,38.54546489157421,37.41332186381872,37.58351863171529,33.19150019586704,28.79238928462639,28.5825332639571,24.469014147729276,20.95830080697209,21.82426827789069,19.810160614864227,23.10693186826496,22.42198248005558,22.515218439052944,25.553697162429252,24.76289298843758,22.76084430112688,23.8900039065824,25.964596293398348,24.537466091229884,28.51994036243131,27.646525973272055,32.825326137161014,32.67101075721683,31.021778718924253,31.39040163423596,28.20664496268732,30.576146759979014,28.48141335377399,30.448133574406956,28.43801694125948,28.407640734607515,26.47293977116903,30.505796070495684,31.573157062732086,28.920902928888065,32.80296587074708,33.62748839880095,33.02597719784338,29.0118392111546,30.484702390860733,27.674229974331343,31.03729635631098,32.29443878716102,32.858585679812926,34.813331292488385,31.920328320894033,37.596964440188906,36.32433312488705,38.504541908965294,36.48037487058993,35.14840134444178,39.06608181165957,40.85237249702614,37.3561996365005,38.04717237303644,35.32335345093276,39.61103951580794,36.446836400578576,39.55621335440266,40.93415140587206,38.54619744855092,39.35548888355252,38.40255450123738,40.08371733252706,41.75916376041535,37.89771109840628,40.37722034564136,39.147212523687756,37.859668816210856,41.74500195344886,40.17177723084438,36.15875621358135,38.199683442851224,41.305296443100545,37.30598003173952,34.561573544476815,39.30082232396033,41.022542316142804,35.42759454634863,36.89103285470139,40.174059665143986,37.23686735323281,34.49703370395294,38.80613071576842,38.45390171001988,43.392831040338834,43.045136863374644,43.09600400351277,46.458581499697445,50.71701551465239,54.47886116479305,55.747169853797054,55.39105711764677,53.71238944687986,55.63056982049957,52.36530662106074,55.99984926391535,55.61215971282694,49.29531630301083,50.806957594049976,54.067899680544,50.40558648918073,47.52029400019943,49.87990662430332,50.66698447839351,46.77132181028981,44.04792160306891,42.5058449128534,43.55044140820143,47.16454309011153,47.223041661158675,48.587117675345006,51.401342114216845,47.60748297877482,44.51956212406333,47.38999346391037,47.54874580503179,42.461479839542484,42.73725644267675,44.80235874988666,42.50023713285983,40.48106590606736,45.47620068668321,45.56154975858426,41.35349822781354,43.697281241473235,47.66938914315266,46.72905752715324,49.065887823525976,47.35426077742251,51.01607633983131,50.430561364158216,44.77432316136695,47.55427435062856,49.642586662849034,46.687262275909085,44.39806003692151,50.244208563404676,49.46731796020178,44.056931814678634,45.52294485261218,50.42113002531659,48.891612085557426,44.8189622284651,40.43034721488361,43.766891773688315,40.169420931399905,41.951400809572,36.550575119256,36.58855143527464,32.559881612725476,31.651351639548995,32.64255378140092,35.053536762477734,34.93238517818776,36.93944056038003,32.183081906981755,34.185355364076564,29.38604413636659,30.769340324446564,33.9013064729988,36.772165746277665,34.57436324049283,30.77077377480401,33.316146487269805,34.474443069954845,29.325457816970843,28.89159076146443,33.820440552786934,35.01303016879442,36.39534801535314,37.766944982777424,38.37314314590051],[33.67916334371116,32.32367786584334,31.784365240999815,26.317647856546703,26.337682882502122,25.41224238209813,22.70596632749432,24.886298778547744,21.335205675832636,17.60170934918674,17.963146572507686,22.234318534059486,19.370953620203405,14.870344966785025,17.65673812271002,19.949265958153823,16.871062152342066,17.862860115826532,16.709279964309584,21.189098011863983,22.278787870363406,26.703650746070544,25.975548045223995,24.994280311466547,24.077693447281533,19.737075707454398,20.43571564656862,18.021556443727423,19.93057161335617,22.434525230085647,22.239986971565845,25.793806034655923,28.41985335872572,29.738582601934368,28.264134086543553,25.07597958530389,27.254406324684957,25.32970278939678,25.374061680350145,31.601627067034315,26.78816745214963,25.82337332871543,30.348659967567094,30.579031201726263,30.365666772436406,30.588638953957364,34.219559865156,34.6367729604572,32.51655803473721,36.752981087032765,39.123206336282465,39.37490447032212,40.70478439855948,35.84633026052554,39.50457876208905,40.9510844878259,36.116248811804304,35.56427471045599,39.9094752560823,38.879557212317756,33.95141847939698,34.294218233209676,32.49499259109372,32.15845817593992,30.640896083957994,28.24365553533846,23.20553299132075,21.686799937697522,17.040109623182833,16.27893394188371,13.590005590409119,14.477761265891035,18.204487023913718,20.712168286421246,22.650847972836406,28.31195250455127,28.567517360872262,32.35406789355742,32.36579857120705,33.535400125170064,34.1821937713732,34.47036045188257,34.67705203073256,35.75070146297263,31.940964390264053,30.15879212195042,29.286263204465467,31.31546952966537,27.919599843079766,31.43888201959209,27.5319485400334,28.982792358203227,26.73540379497525,26.892435742634547,23.34603471532103,23.6266968104894,20.601700115303245,25.48070158460906,25.60904357310437,30.45992507695817,29.41894550342604,32.40373791971448,31.1878703963319,33.05818731045258,35.56358710720758,33.41748083966558,37.81912891903603,37.375040755541185,35.304050591067956,33.99056378639563,30.53255066366972,26.922281069276448,23.488877678989084,21.006498778406158,17.203179516860967,15.152285065261704,14.559709172296792,13.495498133418469,13.29612269225485,13.606373264687571,10.391830709317647,11.235167244574006,10.781348699330552,13.832329010084354,17.114435192551582,20.529023723175243,25.04165305003547,26.32902067564557,30.087054893983886,32.185375330850704,33.73677172418539,37.7040468156281,36.08870277142206,35.88583946320006,31.714311961004814,27.477307750936728,28.219312676058774,23.524847614041033,19.95222336358228,19.743235760664025,17.14927777806057,19.447068664896886,18.32854512360069,19.062833261117266,21.655674748555004,21.02985054724663,19.673005180480473,21.334214212660598,24.099596772567146,23.468052194859983,27.910124958346398,27.436169324229127,32.47677692110594,33.06725669152327,30.667070571262304,30.395413130947805,26.82590643868123,29.262329191481605,26.324045007504516,28.673498065028078,26.18882508315169,25.15510468040614,23.430022515780337,26.939481114994745,28.458408410200757,26.147496693770588,30.48814394022198,31.452553909478297,31.5516530922342,27.522432544183065,28.919772022966743,25.683659677695122,28.478806505768713,29.558109766224632,29.852302459034124,32.02037385193836,28.88214191496042,34.42593775988771,32.883898199262894,35.424106175802,33.407239887715896,32.92826149629802,36.62746423416405,38.24268024692994,34.66954125126644,34.55353111848083,31.379737497590632,35.62727232696383,32.57397340355611,36.09706944449649,37.89509283713294,35.64722315074264,37.105687490382195,36.62861880698967,38.6459343875628,40.82875183205736,37.418957651259625,40.12548070715451,39.54599448237214,38.13680486928003,42.463204817084936,40.90193339775337,36.974746541308626,39.539353192525326,42.749818153843776,38.93892312309016,36.63006824829645,41.4498635730978,43.13169717786081,37.977643231852795,39.745286737347044,43.088376882332696,40.20208654169785,37.871776942064855,42.33029396698733,41.748470183683686,46.64810424761535,46.063856780998336,45.74395543776669,49.1594701742833,53.07358062447054,57.124134567394336,57.95937760403128,57.21587430421347,55.16556853203932,56.71346900831848,53.09830653449788,56.55011608971446,56.583216532996026,50.259756854656644,51.260236576081546,54.58593448503306,51.27849423804801,48.08135775617121,49.958758017061136,51.22129088815398,47.612959303022066,44.13782496187751,43.16144749390447,43.50117171904422,47.21318175210032,47.707612767166744,48.693562963505634,51.84780456062769,47.67343463716214,44.74012945706597,48.24663894492995,48.277336262883246,43.15352750516608,43.999965877552555,46.282149238273554,44.09280438001337,42.39563256156922,47.467651552912415,47.72209215488704,43.85964470545365,46.29500029537619,50.18204901528179,49.12024038660197,51.0335695631855,48.88888626001765,52.475748091986404,52.45089411707971,46.753983012457546,49.01468656332662,51.46593501545753,48.77542603003894,45.99899847840717,51.756335692188756,51.49625146521056,46.06498294906712,46.921549130834414,51.98856401194883,50.925477737066,46.90456267338984,42.79823079020111,46.29951376242268,43.06919569233997,45.06357755591113,39.71129295984713,39.35003048150055,35.50921606022628,34.85054435362651,35.313903773157115,37.545972905718244,36.861080689510956,38.6575716058447,33.58204360018622,34.88206623273633,30.104927753355657,32.188966187403416,34.69272444031674,37.872509540600774,35.38731492035695,31.9391073448903,35.203705777345334,36.28214364737978,30.820272415049697,31.345609106788963,36.432854072958854,37.773441702637314,39.20447215830048,40.59966898106321,41.40801531615719],[32.44475982351693,31.53840462767895,31.50343632763443,26.27497194948528,26.848025324002737,24.73872026958266,22.16572259706042,23.867595464283607,19.69640395315261,16.35298627838554,15.952021107991477,20.128918601744942,18.415493609882727,13.53866939612096,16.061657453248262,18.925442831889022,16.91526529733936,18.161097489204778,18.14002813250768,22.586402639328924,24.07050188537849,28.714549637322296,28.296843876349207,27.855880821917136,26.745710145405326,22.25361209608794,22.631610854481202,19.69888228173444,20.65445551309715,22.397738983008608,21.341568924925774,24.882409623760143,27.030397458234813,28.748405338591848,27.81845850177746,25.20655583847386,27.368622408113673,26.47055147367847,27.070112519698064,33.484538943476444,29.251569390363187,27.92479621481903,32.40706400864183,33.154298858676675,33.38290610106018,33.84180224533477,37.5360555505021,37.5202438358038,35.24975167441269,39.79220949866158,41.786181028616774,41.763453215671746,42.889130004980025,37.93761071267188,41.07380926805258,42.814713948840996,38.12457726693746,36.97175046965519,41.31733651885755,40.83419406859783,35.67813961058274,35.44817189241161,33.16346411953718,33.25435828670847,32.177774729613354,29.490879652766992,24.332401223335847,22.167734526489667,17.652351560467437,15.765382078964583,13.379462705936659,13.717785494188607,17.346153994867652,20.7596040595316,22.29105842758026,28.005282216403867,28.840580306980737,32.163621968591066,32.61487559974402,34.287484148898216,34.81224265687535,35.64664217277952,35.406975625719575,37.01835392309393,33.534250808551846,31.212984738422257,30.406143482585293,31.677898196717866,28.40100387567176,31.0933081351627,27.024518453157192,28.06983490066573,25.39843687893836,25.2200509628043,21.61624814419334,21.197251611430467,18.129087713381576,23.524801792912054,23.691041844083585,28.345417425265712,28.15220661819765,31.38025628749375,30.79743722483304,32.84506158452144,36.109082980055526,33.85533541093405,38.301869924315774,38.288824821310925,36.02790839436939,34.27286437604681,30.75339189339918,27.44727898538442,23.521856795932937,21.827232343949543,17.75790666385065,16.680574001097053,16.20255654162102,16.247936781112216,15.804219202225713,14.772151817083442,11.716532539975184,11.791072290850506,12.50561006767027,14.808418795781783,17.38783053467427,21.69563985788772,25.380531795322796,27.305923971722798,31.124014471825987,33.3551099189507,35.298302476131965,39.22618666387075,38.060273736187234,37.44272568691349,33.694656545013714,29.27795271164116,30.21520944514172,25.839220560068284,22.542702355814384,22.276019000379755,20.600055140328912,23.05432329839883,21.321288591571193,21.612109844593334,23.983968362523306,22.50713190392463,21.11497780868183,21.92907599180412,24.44185400141737,23.07355437168778,27.321846856160967,26.012577831166773,30.984827854661226,30.821911996814478,28.387650177807036,28.719172039952333,25.53242948428418,28.487422937148885,25.871452954585873,28.895065757524463,27.2952809659402,26.32155095687404,25.508890124468643,28.91031826029902,31.04548682281209,29.206008582601335,33.40143417889898,34.78329541485776,34.629163418290524,30.504395003081267,31.55315877001549,28.147514074621295,30.629457567349,31.25439034658756,31.12035638887677,32.75522512262901,29.245010333204245,34.79823056220945,33.93517805187554,36.47362707716147,35.11319998358102,34.13443731425217,38.37556430738146,40.34592624282363,36.91370540298694,36.964907418831466,33.746700218265644,38.32038021801382,35.809425733798015,39.16009675198173,41.07698462787423,38.490951258801445,39.91542282601224,39.2160557024392,41.01941528422704,43.075181670787394,39.44844610184473,41.81165586083537,40.9733972526177,39.137503821981085,43.29170915131275,41.2872188221842,37.47491070765224,40.241958191896636,43.087340378766505,38.96464276983585,37.091150728693535,41.757622530970195,42.8832707597656,37.71199507403058,39.664100481945255,42.74175661869999,39.47455583848481,37.37132071846007,41.97508995797478,41.78605404583384,46.43300759025984,46.640150043959665,46.16765912198795,49.340580966776315,53.52235613967619,57.352502482823986,58.431173241545046,57.54509141663333,55.685478510104154,57.271040960485834,53.65034121065484,57.396923807383445,57.50031072051398,51.14911814872524,52.28110529712148,55.91527460036547,52.625875862447856,49.4442653649323,51.53279432886171,53.01530493375567,49.33952982774168,46.00028455336106,44.54264320022168,44.68422173557417,48.27358654524103,48.31572991608979,49.137887815699735,51.910091588698066,47.71475654850508,44.95260757820908,48.20132174203677,47.85954599649396,42.80597228625638,43.74856890304853,45.586067230391166,43.16773151133852,41.73568336122055,46.81994563326319,46.700833601698974,42.73476090567023,45.55364746703359,49.459117799651885,48.7343009153007,50.77499032173791,48.8161673385988,52.63814645983001,52.51527993950576,46.93206491397728,49.48171476117485,52.03004036605336,49.31075586844352,46.84162610793349,52.745079821581875,52.49948052286332,47.132301683830434,48.2813344355926,53.395660685067334,52.32180546772987,48.32166910522487,44.071346592434466,47.822943149093796,44.46328828086842,46.010574521650604,40.56197384416046,39.997556351650424,35.78916893556997,35.56512961879685,36.35028413655568,38.95126157503404,38.381948949294014,39.83295204158363,34.64116002039701,35.968722029687356,31.00043097389006,32.44059952989819,34.63414500263287,37.53635128050662,34.652090688339264,31.52452152166893,34.63113355791749,35.18392438616711,29.719258980561893,30.430596881590173,35.3156395947363,36.203083967249995,37.616855233294025,39.13380568614246,39.958670353163285],[29.76810248587493,29.163497257218257,29.731497580749135,24.432175644923326,25.973041846919443,23.60893991327903,21.71237564737817,23.779533044930833,19.468785845698292,17.054874111320775,16.91945183571028,21.069027788152777,20.206331020373614,15.344671510159817,18.55298416918088,21.548665631636904,19.871829606653737,21.800108437764987,22.238812143151936,26.542858211189383,28.283805568330365,32.88262448367557,32.567795066089616,31.998328142895442,30.73742445795971,26.22702259611307,26.28104493207655,23.090714653747135,24.005764243927278,25.29698417046397,24.61815578466007,27.581614897983485,29.768051736694225,31.986092117758254,31.069941082965588,28.708144255762683,30.420861856553692,29.936781636026147,30.425053454815927,36.85952289366336,32.68687794971103,31.753354688187887,36.30720493561872,36.974463633979546,37.195834871852824,37.36697408220186,41.16666085467999,41.30774090799093,38.742426518050465,43.17338330194041,45.38073349467227,45.22169425244827,46.558901391765865,41.50345468194274,44.72925851490618,46.710007340716544,42.08336338680796,40.88344931410611,45.33784196298259,44.96115864216423,39.85490578258459,39.68990606519859,37.341667751921904,37.61463396492629,36.494513840409375,33.65727069166251,28.648876364133063,26.27803738972446,21.93188171753996,19.732348828137283,17.58387228638377,17.88484641502202,21.378088464261037,25.045480904953966,26.298833211470132,32.076450994026196,32.91244504298652,36.066547432378556,36.48940827968281,38.19522422235112,38.38141294206395,39.1292460826615,38.46478036490218,40.02832563159668,36.56629331497243,34.3519134500452,33.98374976897619,35.036752217890246,32.158675129251165,34.69108877555488,30.72790778118698,31.809975569542217,28.858338906153048,28.279845432554556,24.42975325269123,23.694538971588226,20.31261348819908,25.68151824968457,25.355164303439143,29.448240099990368,30.102774784705797,32.794043738393796,32.89383508205874,34.3614787724799,37.8701334027925,35.083674961897245,39.279492824124056,39.19137640991053,36.478713764499986,34.85405671920636,31.01223525070711,28.32937371420165,24.14168465466383,22.964406892361264,19.431583504488728,18.54175462717363,18.985462863784974,19.068502389839246,19.63970737013721,18.42197310641666,15.12570940542452,14.363528730001148,14.262483118294446,15.886116398671685,17.73070740039967,22.281833085337105,25.36123360203873,27.844986039681054,31.63233171184968,34.42724143422832,35.98367468195369,40.11005179619986,39.30004795812641,38.92843483331718,35.047350845751545,30.52633963622085,30.821172109045403,26.863350672601197,23.63584382107656,24.06711968213111,22.734893869990433,25.832323705530786,24.413811196503033,24.307370633264785,26.993693861277062,25.441698813683633,23.60661666866712,24.063737436115066,26.065568795702216,24.112760089404105,27.98062086016862,26.330063854012522,31.369267571220824,30.579578595481173,28.73720312254937,29.59764902878988,26.746536882228547,29.648918201630327,27.685780429130514,30.425387039803987,29.184858720045934,28.919724923179594,27.94441699982426,31.706217318929866,33.525917767269334,31.446401838179643,35.33691925104588,36.62608960379906,36.00186944143083,31.889505667086016,32.9823556544686,29.864805512285695,32.72923452451869,33.47660559092302,33.53112997407242,35.008556434762454,31.686702798924028,37.31450217366816,36.64800496549678,38.927306198160075,37.56842704100192,35.98425504410445,40.38082674980127,42.47361459633886,39.09716552647167,39.70239411989433,36.79393503631001,41.395243728778475,38.794389391346755,41.87158211549935,43.50494382048178,40.821007447756564,41.8045009878154,40.77805190002892,42.34373512759406,44.04535262196881,40.10664886352909,42.28656710663929,40.98334491780817,39.20985891197148,43.0260323523916,40.98496575744234,37.13522640126334,39.53846010295075,42.26570813119035,37.99282557775961,35.86369998791444,40.43612301457036,41.526003546350985,36.05300105984237,37.80130937558469,40.791860438594895,37.449638428338865,35.08839592419133,39.586735314486376,39.61589548107253,44.240367103505655,44.71139497907337,44.48674484492915,47.58548981217608,52.03040493158144,55.62999804733899,57.03745009253572,56.41455737633793,54.84125223124923,56.692490422423866,53.32746232136216,57.220469647165245,57.028939894302695,50.692871496893645,52.19509006968161,55.800572756199266,52.26781039858593,49.31385888718833,51.74978611459756,52.91101425649859,49.039238188321,46.240998120743356,44.35934650431962,44.98276469686547,48.48367751445147,48.185815486044596,49.264984090690184,51.76069885456229,47.846330675444904,44.992667105374764,47.755132606139945,47.47585210029436,42.466421238557196,43.001190757883855,44.63265516965643,42.113790785006096,40.4778567350965,45.494743737664855,45.211628135510736,40.986677681724004,43.77839738010199,47.74008588472294,47.14225746927163,49.49825534142627,47.87447391413852,51.76354086570611,51.22854460513051,45.70034145259573,48.64110497833201,50.933040930499956,48.02989431920072,45.94286973159695,51.90463291417211,51.29716690643314,45.96717296938186,47.56559547226108,52.54979517024485,51.150683688354306,47.13018455914248,42.68469348122564,46.32913411406911,42.71610944570483,44.061157717181466,38.594035286998974,38.28820194559531,33.92541936137231,33.585389241752395,34.77158858879469,37.52069445309069,37.353790546315594,38.91079681404318,33.95252006908879,35.766262628610775,30.7889977365686,31.676126058117703,34.276718664777064,36.917644632218014,34.21728809181889,30.876091221906808,33.42854679857706,33.97751609588061,28.766553272025742,28.790908214963217,33.513620749464664,34.245229995705316,35.61412570362355,37.12152020178985,37.80637390042166],[25.985181572747123,25.578196448049457,26.38766035428357,21.38341366211761,23.28231437641666,20.212318093027935,18.628800578350884,20.584129190828154,16.15925468460342,14.526597179975832,14.48310211463168,18.44334525081141,18.381636520391776,13.785591417538592,17.457936218760576,20.4475040674295,19.316772540864104,21.989499747965887,23.365661078922287,27.293447584172874,29.606071117018026,34.12481076232118,34.25587541251085,33.85503594563916,32.11605027600547,27.56779029479486,26.98351742330594,23.360460877279223,23.852696977526364,24.448880899446053,24.220989772214978,26.394815625804178,28.651450505990816,31.439267413796024,30.473593897712757,28.500984580617725,29.630771729215414,29.867741575843752,30.439942157947176,36.862590583802266,33.14535261392593,32.50165691146107,37.059609954937955,37.91820351379747,38.478554980253165,38.46090870458063,42.425163652307845,42.38312586090126,39.34463630318651,43.843465137596596,45.98234894944669,45.48521682583901,46.94214491527243,41.763005203407296,44.82369719828869,47.23543371381114,42.82472108232351,41.319991358101205,45.90920796666341,45.9431875637575,40.88440191513205,40.71306123061433,38.20916440209105,39.01594207100594,37.82845641317728,34.595723897328355,30.01628978107871,27.139354283531368,23.296832961057127,20.552010452681174,18.96785082119568,19.731751979879512,22.60984510441776,26.60326643935883,27.07883472374177,33.011345744373685,33.6069119361799,36.46034633370827,36.74900690999753,38.513401624945324,38.17201742735502,38.93517161057355,37.68052086067994,39.35436957184861,36.098997862508895,33.8102960321614,33.96247286998174,34.559610384855034,32.28710657907006,34.54956608568177,30.850354395965,32.198557603634015,28.89253926770216,27.75845772127732,23.597687053715916,22.77809930652985,19.041454941485352,24.072997579283058,23.23564139053076,26.789938079454195,28.113494625194374,30.32577475682992,31.05718880771532,32.097521613909514,35.962005409931216,32.853583712624754,36.87494620540763,36.95818050361775,34.00281737758778,32.237439936534535,28.30373663021873,26.103432803412844,21.6884222888889,21.208668488067875,18.04615773662788,17.83865806931037,18.916297628029035,19.667554724050902,21.020321378328322,19.008507071079567,15.77314554500577,14.073622442216497,14.061890250925904,14.69468518523172,15.61782771348285,20.533363715675836,22.763256123549073,25.735926781108255,29.450540822333952,32.48848891309814,34.107607496438,38.20979988271268,37.8488840539523,37.33039739742101,33.72353958993572,29.14162147065879,29.35630221421038,25.892543611023132,23.062337017298123,23.667709132124557,23.31779942053782,26.808180500537706,25.1384466761514,24.419146523882347,27.109708660044777,25.099925932876463,22.964728193208206,22.7711534872824,24.247454829891264,21.72427163004912,25.20041765178189,23.187393634472805,28.1790932658356,27.00599028636977,25.53948419174776,26.737167529388774,24.207865605052913,27.093766358585455,25.716410493844442,28.382916999346655,27.776811061487013,28.052906737960676,27.45260918422233,31.316899093669765,33.261665581213855,31.4446888133816,34.973922791981096,36.58139580938323,35.55528991416697,31.444163627394413,32.222089793835046,29.170373124587417,31.944234382978227,32.482109213099406,32.45416353521315,33.56643785498992,30.337991647943372,35.93713424027418,35.668056210041655,37.69994868220387,36.667962171475956,34.44985121211322,39.15860450251656,41.50986612918365,38.3047358271538,39.388773211250516,36.75038664044511,41.52697640709279,39.31766054840932,41.990288479592486,43.51712060633873,40.523215624580864,41.226803055310356,39.890180173926204,41.1730089784955,42.63377614876792,38.49470211317684,40.33591533571331,38.760004147549566,36.73872180647175,40.32165727800245,38.036318163538084,34.2910185744291,36.72680054777622,39.18022070233119,34.7539426733903,32.90853145666912,37.3184859392887,38.06566075546294,32.627580929651415,34.48478217260284,37.291227656798114,33.76981308527577,31.595701172655616,36.16973979335821,36.41776248282309,40.83076978100295,41.81520047474489,41.43012787930622,44.34507484429228,48.91684499784448,52.37823958646654,53.906293547883784,53.196481502275496,51.76593057157483,53.662799998904624,50.36205356495619,54.43155471712747,54.230739168728,47.92286200034219,49.56427372655722,53.33990256053286,49.81166084265318,46.92608762855327,49.55550728339834,50.81659432567605,46.90891976361274,44.3218430150503,42.02691711338086,42.616949051552034,45.98042019757629,45.33388541046746,46.392647334465515,48.60709235863013,44.80217411827513,42.01620222007817,44.49638540207347,44.07953370261229,39.14578740790184,39.61198009371808,41.00087658995189,38.39109399406238,36.83522580117254,41.81835271800526,41.369359048350034,37.103666748761654,40.04285644937365,43.99424704320132,43.563662998525935,45.98591738101816,44.502003178641324,48.499318264992034,47.87768814001999,42.45507701171509,45.575098559418514,47.8939901554302,44.99307136939905,43.14038020091866,49.15546023739286,48.570366744752114,43.33579604332459,45.1368602419486,50.11291597817808,48.74292113660973,44.78448437116662,40.29391149579315,44.15644607897158,40.54262332271454,41.50235593043417,36.02507514806532,35.47951035700415,30.92020095897081,30.985268304367782,32.3351603707041,35.347319616145626,35.21898547018042,36.44487436269166,31.48303278235546,33.34554027316772,28.334682886357758,28.69277675154391,31.16892524164683,33.575310120083806,30.798461752731896,27.571006986003738,29.89867607868882,30.219213013633755,25.126260400032855,25.10391749275365,29.6785449317875,30.245942960965333,31.613916767888625,33.18732069695418,33.940496254662044],[24.742866567094033,24.264518406009213,25.337950505327225,19.983285634210844,22.573739829467534,20.34753576705272,19.409620596380723,22.145144387081334,18.21943557986469,17.046178038283045,17.775138588666934,21.749083693114148,21.39840965374983,17.030893674859367,21.21596829738206,23.972095152391823,22.32937146878791,25.19700204895318,26.12526123523469,30.070667365022224,32.2612077820489,36.655012816003406,36.61351352980904,35.79128677409324,34.126473449950915,29.664961841587896,29.11184159276842,25.647768829638306,26.710771280270635,27.543623259792692,27.996699441758444,29.94542248659043,32.521354211573446,35.331472317958095,34.05394583389796,31.840319944039976,32.749770623268326,32.57053546217152,32.7138306168684,39.02866328729362,34.95460414757867,34.802114165299486,39.43800813070658,39.89632232376688,40.13544692153454,39.755519182635545,43.726754888534586,44.11512746590424,40.992747311644784,45.17698305495549,47.74428187067148,47.348488396602015,49.09933361311189,43.914561299395025,47.39934311391131,49.75880352466276,45.27852348246645,44.14671890660821,48.8080880872207,48.52974559109401,43.631389500531036,43.842961521588514,41.58567317751123,42.1855244101259,40.72616297938182,37.60594866490882,33.083652780567625,30.481004275922533,26.50545833459169,24.18748249652329,22.38740889826999,23.248567252233116,26.38646539995862,30.09717516326454,30.806498781959,36.79407558219668,37.13172196927025,40.21012777669764,40.25261171292207,41.74395369523558,41.30106253223252,41.656191863825484,40.421561022263646,41.692954169268376,38.22276127185391,36.377750269495515,36.761880418992845,37.723419465226755,35.569266801167814,38.259816553591556,34.64977351507195,36.206291638439254,32.99400278884773,31.897614796150283,27.637605799135038,27.037602957057743,23.187751994354606,27.96425617840785,26.83593834869487,30.146830703247495,31.45671709272108,33.11093204313384,33.891896915919084,34.352783429665024,37.8402978150499,34.35639806291503,38.10023259942923,37.76720435108327,34.52823533731275,33.26378872358011,29.078490424857122,27.245746186165764,23.012188658515267,22.377645652129903,19.88456595552737,19.12996326422862,20.822831411350478,20.91407451037892,23.037168244097764,21.67366670600307,18.17172320490851,16.462306032771828,15.15894952938026,15.733568002284933,16.521770333320813,20.889305836046898,23.1764419348664,26.17155200897351,29.787466787685936,33.26587471293425,34.177002286421185,38.500103500279685,38.130094652094535,38.17765641517326,34.124971695037935,29.603927806479078,29.004855730929933,25.750290830458592,22.79981785207591,24.136342644236894,23.479475768425957,27.375766990248348,26.38111550067941,25.655143588876424,28.719363230353785,27.229573260254348,24.80136380918471,24.93315090122003,26.19354017311898,23.7659170677738,27.047283409731588,25.43322649366072,30.492491440779695,29.38677268365152,28.46398968435772,29.609717846826133,27.066391843617833,29.50589780181219,28.395602532643156,30.331445728599924,29.361454111091923,30.155654089797476,28.78703360300347,33.00092186209015,34.23161189134195,31.873013010066714,35.20545029168387,36.39426786780117,35.10450498101636,31.111095716646293,32.19713481506929,29.576446404977656,32.9175559691741,33.89594937326329,34.336767670746774,35.710667572556375,32.89093575789638,38.53944139198575,37.935944639136785,39.76685648442018,38.25488142493064,35.906264341072124,40.32638176349823,42.50946324348432,39.25746168120917,40.69125978683593,38.33729997234506,42.885651685422346,40.21343087321269,42.775256388238105,43.955871448097206,41.146559282736405,41.464268762712344,39.99149560675746,41.206719361911325,42.40737945933419,38.136151317332676,40.068760168291114,38.21807226475456,36.63062279421749,39.9954523723533,38.056823689565704,34.177551786967946,36.03024312602578,38.67533318712545,34.3635713849981,31.823516005221084,36.269482293585014,37.48579079637242,31.711227277552673,33.15056388463519,36.10918990316651,32.85450618994401,30.136283867113633,34.453418553006834,34.595697568296906,39.2423681979851,39.80530363103712,39.86001793853291,42.91686925546087,47.55920616414676,50.94590487309016,52.64081426605178,52.355776540030774,51.07303611144676,53.22369853205886,50.20236339830788,54.17067323881195,53.59849019070069,47.33246522321025,49.25502030786608,52.73318274597804,48.93007785195696,46.27852943151272,49.09591576173623,49.82567375798325,45.76257037982463,43.64833091634875,41.310941787534304,42.58102699041773,45.95320031734483,45.33504788345765,46.79498758549676,49.04295710470462,45.5471635144033,42.530106128561826,44.7227461235269,44.68894126763069,39.754886452815704,39.70751968125934,41.26349235301125,38.7551416013472,36.743785435683854,41.631966868828634,41.33601473405434,36.8844361209261,39.43472151236365,43.43067776985028,42.84022265614318,45.50274964552984,44.22516512376869,48.087008664597235,47.09618551641752,41.6321681074341,44.93386403305212,46.8818433403042,43.795101421462945,42.101158897661215,48.057272429360445,47.045774960992134,41.788599779174056,43.84795830501976,48.63975592196081,46.902769643186865,42.89412395355694,38.29158613664853,41.809998062946654,37.98949053463648,39.116216236094935,33.677257022975645,33.64533467643474,29.22159136266683,28.71609580979507,30.27972307768151,33.148015764020315,33.40586046868808,35.072268950337424,30.487368677405723,32.87212975854038,28.03268272081258,28.337114606344514,31.533714402171857,33.899626751681026,31.68108716871137,27.95607907082967,29.804469084117027,30.604825270125747,25.82597913880213,24.842425936168212,29.40487291297362,30.198725594802138,31.534702943947664,32.98469213521533,33.53303291451959],[22.497522315375996,22.61395866530077,24.27482306977523,19.586816950381284,22.682605448442537,19.1537943352616,18.631558136493478,20.76475244641306,16.56085068463496,16.40848323510114,16.64827711046171,20.07289144692872,21.019179025045297,16.990000369326346,20.909868436824656,23.790380149232956,23.091426359648786,26.26302549679357,28.076888686209518,31.767902811343212,34.34755347432466,38.77449054469107,39.08395224392879,38.63707639721128,36.695283030250316,32.17858613229198,31.246985390379564,27.441388926468974,27.792717415188196,27.867472004655102,28.046810862109872,29.495400428508795,31.730401739640254,34.99509842639904,34.043513950553624,32.405757810629915,33.00907515656596,33.745702047485516,34.24544626764944,40.564332615418735,37.077861616728306,36.8069440488862,41.36312377344747,42.206018369458725,42.8483958137392,42.562691837768575,46.61788201549192,46.64392413485052,43.269344068635185,47.65830752398209,49.923154325045765,49.22152438593986,50.87129147224648,45.62346911594406,48.674640478539786,51.378564117759495,47.11465470908077,45.50299915271841,50.17624619965189,50.40830222330438,45.433601796022764,45.313869312119245,42.74259302236891,43.814413026928605,42.58115468861817,39.166937851329905,34.83584594916482,31.747039174491047,28.164978999281335,25.197160970422217,23.869925357372274,24.671364305308654,27.327544758603782,31.47960884527376,31.607573605035125,37.54249284036871,38.06496111728927,40.68799483050488,40.91126337019143,42.69242549800533,41.94627539583405,42.6337036644714,40.886042444668036,42.525054389348504,39.406219695567955,37.22437487901267,37.85818046984767,38.152711748226885,36.388835231617556,38.42801544932824,34.943971526762304,36.370853623922244,32.836337346077784,31.29046040887584,27.006059993272224,25.971991210905085,22.11337238544059,26.721345388784133,25.346080703183105,28.01807094903192,30.279294360348366,31.75776643536261,33.28947425630752,33.63341941740225,37.73288136665687,34.113258953510886,37.72401030554717,37.800150241222575,34.39857993623039,32.757356301720016,28.61525890408441,27.307605436898303,22.814377176722218,23.101345163909272,20.750954737807117,20.90348667958357,22.70828504465883,23.594984902679528,25.667348630857326,23.46820298293935,20.254715552682878,18.044823807226685,17.542508393472193,17.33570935086668,17.184167622980944,21.989045312177904,23.13009600040551,26.683660903404444,30.17563059977454,33.72602250585341,34.96472460347824,39.13376902738604,39.27647695023038,38.93470979861206,35.40399515583054,30.858488272893442,30.461611245981647,27.703061778125008,25.217805833832365,26.40429503805376,26.61336169330393,30.543512332780413,29.071111911332114,27.942025305698426,30.7712657842826,28.650407107219213,26.194256274588767,25.549420305248685,26.356528595051277,23.264751025958333,26.022826207355752,23.638112353323816,28.423086678346436,26.487798570188723,25.878613823375755,27.669121328062797,25.706157364744723,28.38971734862481,27.868270384816586,30.143353965013734,30.088406867091027,31.100007536635204,30.5035842671458,34.56327955890205,36.2503453079241,34.371429443910735,37.450429252060694,39.05337195502193,37.518610550519355,33.53191663860848,34.21344654978041,31.524495339921913,34.49531929491461,35.051241079102994,35.15340665901527,35.98685336557508,33.039551539062685,38.54330046810014,38.56882856445064,40.262861657942686,39.359300907367846,36.46900175709217,41.310409926304935,43.811394880747905,40.77218299122901,42.45053060601827,40.18537594496778,44.964777514911276,42.83694155603103,45.12823934157968,46.36914747660468,43.23778278114652,43.46457934674062,41.76223156602911,42.70918786379787,43.733888144222995,39.31815906280962,40.81078726306277,38.71177789025822,36.694845548503004,39.759857791867276,37.37949334982693,33.736742335686536,35.75091423462362,37.90206734055105,33.34298319427404,31.407494199953764,35.53200339357798,36.059363241731575,30.41782255807812,32.059501931572505,34.62079597554344,30.980075590048422,28.64769800121783,33.058250723190596,33.669184304530745,37.88480635529358,39.40530888378785,39.21459711842019,41.918521662898186,46.77660315731258,49.89272088633339,51.80864403981551,51.33898826982313,50.279478742608134,52.44399612228979,49.46609781345467,53.70723625825356,53.21426059419351,47.01202525369575,49.0567057288021,52.82853260394829,49.1086917680802,46.51736506731747,49.52321200585293,50.50129293609304,46.44490334810103,44.510733945804866,41.67420329524173,42.70875334029554,45.86936483793038,44.75221410775963,46.03946942308624,47.82709127187082,44.40726113976363,41.60748998561873,43.43144922783575,43.02534510212299,38.26123297419696,38.26221867410768,39.296488890712574,36.582599628118004,34.87241505483403,39.67980136204866,38.97836305738059,34.46814189266781,37.406139012700265,41.363414496855754,41.15850892839372,43.91943045612261,42.87402271682803,46.93625218741497,45.85325348977924,40.612663495992386,44.1761273488844,46.21144932408556,43.15924797039568,41.84020080538265,47.85109705434301,46.914658072083625,41.83723997127205,44.159654952081276,48.93077618984713,47.26335953608669,43.369240847829666,38.731677738346754,42.521746502588215,38.7048613452877,39.24207366672639,33.83693153880212,33.46460559324807,28.741280355654727,28.888212901354628,30.72807509993576,33.94907348983033,34.25987728265888,35.41058197508118,30.825986851189636,33.14480448789328,28.28711228066414,27.812353480137602,30.572520160630056,32.52332243801946,29.99444460726091,26.706171927175042,28.22629522061675,28.41882731059085,23.863341737201043,23.00918920146602,27.159122309768783,27.442371758574346,28.747367459701803,30.34008640511362,30.959348713574176],[19.646954546828844,19.552499545126533,21.4941488214697,16.50044997348205,20.51083085146971,18.240696621243057,18.659509710104206,21.76860460599895,18.518425580989575,18.898487045963318,20.186510758100894,23.584731629651447,23.990528792425007,20.392329529791898,24.976316913229567,27.463586824627754,26.13076201709715,29.659443275704987,31.118245567193423,34.67155589051532,37.255672296342695,41.44887991620717,41.701657132681035,40.78229110531959,38.76178130984465,34.39866564034427,33.30605939215265,29.643307484957404,30.619331179605112,30.887918676918968,32.14329303403554,33.131317760070054,35.88114614995618,39.22260672311761,37.75448629963359,35.83659186267163,36.00525817760005,36.29972769316923,36.243914406507486,42.337207036503564,38.56537029712009,39.023934736887476,43.6394836597882,44.01389554582156,44.36367565710361,43.55234022306312,47.63637603551788,48.1398171990491,44.5205369828336,48.48359674523456,51.258715614921655,50.585729542709544,52.65527175393801,47.40232744650355,50.963187933451074,53.70851107036357,49.446450003838166,48.26648218808173,53.060712053266805,52.99017746770716,48.28410220343951,48.71685371256276,46.47264331437889,47.43537644111099,45.776153295232625,42.39349057617998,38.327532735616906,35.47141843255757,31.895565113982936,29.384620013718223,27.937595439087172,29.11364807811482,31.900928636986414,35.711099107901155,35.90326483886966,41.979115362938096,41.98327332867225,44.86734013323679,44.65137996804041,46.023717950044265,44.994119772032136,45.0937524654825,43.260395549791824,44.34419475850125,41.01417684989886,39.44262721334961,40.513084203615925,41.22175853362405,39.783201786951004,42.408506570627566,39.14979425407716,41.01877522660182,37.571370152759044,35.99466165021877,31.507997211942218,30.925811773453525,26.849375745841073,30.958692723893254,29.14605107696437,31.48598024744416,33.569660852434176,34.183688190529026,35.756031218423594,35.23572509111583,38.76490658203444,34.653634618579915,37.80387164429875,37.33367933478267,33.580832800483456,32.63870368570253,28.245047620965973,27.523846685692458,23.406765147524055,23.584406114273925,22.249088144338337,21.886103590640193,24.491272411085536,24.774376037000092,27.91927124939082,26.305414839570396,22.874391426380587,20.522639047398588,18.658070009145018,18.13437201301173,17.616745759893657,21.498108936096074,22.47246073050713,26.00581318916015,29.24716633418265,33.33927231280642,33.637257994770934,38.01340288935173,38.24151460004935,38.60913938877555,34.628553440818365,30.254518001539818,28.81330095700024,26.56552394465483,24.17996798681792,26.245337560031402,26.434295484375347,30.841321684398835,30.107239583770276,28.805208252140517,32.01663876519894,30.472646419945367,27.639828993535232,27.299378168762516,27.723953703482685,24.812205029724254,27.210781403612046,25.523609875259897,30.304958689896612,28.710317114472385,28.839074627102573,30.369648853095455,28.363556090540143,30.322453114860906,30.195343875258537,31.39452740580548,30.945265653249017,32.71939643738459,31.243256420916165,35.68621476054388,36.47410790508821,34.0505704075543,36.70038029946414,37.868391530418286,35.90079810602338,32.153425092838184,33.09013775479867,31.026198869917515,34.60900105303401,35.66664087166544,36.36479518357129,37.474015255769366,35.150963959429134,40.64797714742687,40.26949652419555,41.621135856169644,40.152452865120026,37.00312896779846,41.450516839658626,43.758996278867414,40.74554064050607,42.9824235252538,41.19266191733211,45.67199207735581,43.11760751908622,45.10059987703258,45.85638831325736,42.89897774770896,42.55051774619995,40.61016762201378,41.3770101102863,41.99360581577715,37.42448356071239,38.93189120631381,36.452199407908836,34.992365142937906,37.69671267590107,35.79282561743783,32.03515461883742,33.2450402260688,35.60544355556085,31.264142984297955,28.445706515466863,32.55376381460786,33.71264492798079,27.699843925854093,28.766829284712166,31.528171958672708,28.322683429945585,25.275953533736548,29.31892611085073,29.749752164066614,34.25858966994674,35.21010340200875,35.54740620609938,38.421752293387655,43.325842208049224,46.36291368457852,48.44856253980779,48.50892132903502,47.63197189865243,50.10754726984432,47.51330782215667,51.59765369729428,50.62854760180076,44.524137171019035,46.927231990143866,50.30587587803258,46.2639963996299,44.00150827402549,47.25139630959217,47.566686127509094,43.343581925912375,42.06946464924704,39.130828658602965,41.0323492309439,44.15115276697257,43.05527574825223,44.86810015372166,46.69173678902653,43.72296064504401,40.634130116479355,42.05834935851923,42.20086865570653,37.481492677008035,36.783033647351004,38.08322774184802,35.57381092420313,33.233289985601026,37.86722683292404,37.44811447384303,32.766313473480956,35.08925083445983,39.07295787698409,38.605017867944454,41.63527037134321,40.843885468781004,44.68351873564105,43.14432491825998,37.879022777141195,41.63821597373805,43.1857889093252,39.92216814184835,38.82150341142543,44.71422438748367,43.25950014931517,38.19775568304022,40.848258602834754,45.35540360999356,43.25897947649545,39.33927691003693,34.59632943446739,37.991947801624654,33.95930588263502,34.62850446364902,29.298316219973092,29.52776491765583,25.01755007810896,24.48927620444368,26.607447640752277,29.669166901458883,30.46652259372842,32.08360237017015,28.067852892130198,31.033673824452933,26.513628853821565,25.90047162804829,29.574235168244954,31.441200161843522,29.760065947562634,25.838800045952883,26.676198202483583,27.596218852090534,23.584910438285156,21.400772505791988,25.483002471006696,26.189142826099392,27.454172510966327,28.841577718417795,29.198833234810113],[14.443164805186433,14.996301438441401,17.820557984796213,13.907148904125194,18.82464207432048,15.731596475094259,17.29036783348471,20.10928886174177,17.51122614497479,19.340907125597468,20.77328305025321,23.354731445126735,24.68635392620384,21.95593684458674,26.506982112059877,28.720401500508878,28.003248473497123,32.01430842349894,34.226349977592704,37.31620134251939,40.35582618921452,44.37849613330647,45.054641007767344,44.316495786369664,41.88183294400465,37.59643006927013,35.94096649375576,32.03211255194612,32.568331703574835,32.10725472343759,33.834720212651945,33.88520432445256,36.60544092985569,40.43801734805001,38.94477986439352,37.50774242184416,37.00476492570255,38.049295566934525,38.05481391526205,43.91277796738126,40.7475495040244,41.51614580499174,46.01724259829808,46.57203295186028,47.26552959318639,46.2653516970501,50.44519012876777,50.74954523367471,46.680635878654414,50.61641475555655,53.27805566218657,52.23362003532308,54.42250576065053,49.13618546180816,52.457652684538594,55.64205663525236,51.69287487842294,50.220685971228974,55.077625114221604,55.44503443641314,50.87172886523464,51.301625857518445,48.944738191098025,50.422178070951524,48.719633182475555,45.01074387809852,41.44280870379577,38.203104575972844,35.169443914134824,32.305971214292946,31.350531496951152,32.81696461525104,35.0607796553401,39.04385679618024,38.55503217015229,44.62021729606581,44.382242274250565,46.901612490774305,46.53620686668256,47.921931246235765,46.32635489919176,46.40553996420329,43.92931821854533,45.065173874634795,42.075121600988105,40.52085551594706,42.167144154427135,42.370792085425364,41.65475894693403,43.9403865499275,41.067691173423896,43.158616907607616,39.47320986830818,37.397273766930006,32.817157340347435,32.20929422702504,28.072180356236174,31.419051057505754,29.058921753288868,30.38920942216561,33.26016876808435,33.02592560947295,35.41582406758632,34.18556671371002,37.97314202117534,33.49257895011246,36.13523033753869,35.84979533171364,31.78817817410248,30.81852002796502,26.463026203483107,26.759090995207526,22.761834424326562,23.951106074657986,23.443054063345517,23.82565681297148,26.883471211652793,27.74398169706944,31.37442941648004,29.185481489792537,26.032360299167106,23.14984427054917,21.503253833755064,20.021537710886314,18.31118622542995,21.905091306055986,21.308207184317702,25.343950166476183,28.165771684514326,32.51800506475511,32.71736963640594,36.905012081011414,37.815245598156565,38.06288751475487,34.58256031212495,30.39088911151352,28.74234040304983,27.45171080944953,25.805444553545243,28.000935554465798,29.250845929242367,33.824017276183945,32.88343740672024,31.023769259572962,34.08522266295859,32.16959598345353,29.164104145748713,28.128642944981102,27.777628108908544,24.357018130130456,25.800179720771094,23.815109722781898,28.095918595746994,25.953909181771014,26.974694559752404,28.90670102719286,27.567407663353,29.198185737740346,30.00746739233376,30.83661277358722,31.231920299986957,33.67330175323377,32.638235137888856,37.00943134583977,37.839396897758085,35.793716192720055,37.85102497002868,39.33690970058813,36.89170929088564,33.35030976773355,33.85096754836685,32.059475018084335,35.404838421319,36.20045455347491,36.82884131154804,37.44627493481788,35.43497736934347,40.64205959930562,40.74239239707475,41.69134689333514,40.63709611760501,36.74295441405354,41.38886586030669,43.94677532527941,41.2627358962821,44.08103589613668,42.703524046997146,47.241309631186994,45.18675045440638,46.62402742145035,47.19693675965227,43.948866020449564,43.197630455476585,40.87698913479627,41.19850003210235,41.38529133712264,36.64672520298485,37.5669690959164,34.64335634371343,32.938175169736546,35.03897174641362,32.86485499942242,29.416896733461094,30.40704475315737,32.21038373175351,27.74748069893257,25.336418807236534,28.94698006470362,29.53953546107639,23.600592633538213,24.657658906077998,26.993134022270528,23.552317869222097,20.704763448997028,24.710040191925025,25.62945053623007,29.686386826250626,31.591302040556556,31.76517281076569,34.25385541286525,39.38244432578296,42.08588285370751,44.44540322981174,44.48136306388467,43.93429965997437,46.537111328946665,44.18545120898805,48.4834225443785,47.410715891757405,41.479102479874584,44.163085618965134,47.69289666678146,43.66177983443451,41.63643696107022,45.18788948405772,45.53496034734274,41.30982957406484,40.55117660543223,36.980549985550084,38.95738209934232,41.75142109169567,40.07792047825346,41.93180223992931,43.22320184503106,40.61709620746579,37.66299859725672,38.42728313456381,38.441848154355505,34.001170304149575,32.98219937768377,33.82076495405325,31.22696262778812,28.905774244053138,33.31648477339961,32.61248174399924,27.820430780049925,30.24673428407904,34.18107625666915,34.01293484067156,37.24291131548796,36.83140445233668,40.765648582305786,38.94351875993117,33.966523623108905,38.07865614755924,39.518618668960926,36.24839226930561,35.69664150610887,41.545490925748396,40.02149088252263,35.243729512943865,38.301697549180936,42.63942222207897,40.52772104863497,36.79676331738235,32.05780462860196,35.66805307040183,31.680869294392355,31.592650132757495,26.413825096880927,26.33572445888027,21.607888854731527,21.78378193023182,24.28098257402821,27.690663003326282,28.672310337866612,29.72206946466231,26.052606316818956,29.141071544996105,24.918554421566295,23.244870143608047,26.765059091226178,28.03297589182791,26.54395808416762,22.871942189664857,22.863151866758106,23.47716919339505,20.220767595727665,17.39181414278384,20.82131580745727,21.212778859765496,22.45232761740186,23.92213783977306,24.301859206635733],[16.33298752363,17.734038457524324,20.957563383150728,17.86271291267445,22.513879729615674,18.16780595852884,19.52695554382523,21.38140019375307,18.220679141184075,20.363433928704506,20.920456472776593,23.056302394355505,25.444279770289405,22.672107612730922,26.593298386612055,29.076360615941514,29.13824942003364,32.971650947712185,35.60614335177416,38.74674363439543,41.84440997492513,46.04026423189659,46.79722738624769,46.42417603014097,44.02649914682604,39.623428103155824,38.02320606459065,33.95623738689494,33.9083867068562,33.05400946018132,33.93341657224731,34.05648784078043,36.211577436263994,40.190758618673904,39.231727881041586,38.240455126841894,37.897142258586825,39.57021400838289,40.033363406305824,46.02042512487965,43.18902770058721,43.47158238141911,47.91463534046249,48.856007804334666,49.80199925498067,49.13994894415541,53.32111927863049,53.27593751447768,49.30249802611795,53.538465282961745,55.8288110914177,54.68092618502592,56.585778377828525,51.287644504039555,54.14358080600837,57.41223981823349,53.52754191368008,51.630454332344,56.398109021130075,57.11651550317236,52.34125807565861,52.28352253785904,49.59884732645627,51.26419692717205,49.94568768044852,46.16151465465838,42.432525530392375,38.93330420425491,35.973679808957336,32.64970081578842,31.867306348671743,32.939895210450295,35.0152409848448,39.350109309513655,38.708365114964636,44.59313040311801,44.844337752950146,46.9938391008552,47.03250585046285,48.8111946722655,47.299399314543024,47.88797376877535,45.255748497730984,46.87837979755413,44.16136169977926,42.12096812036294,43.5829375093155,43.25739858412408,42.480998651122796,44.07897804271732,41.110892299324625,42.77309372901252,38.92319289166935,36.68941136844774,32.32193904747906,31.14915529680864,27.273626759860697,30.77679015793431,28.57263924064265,29.563353681446724,33.21447592819265,33.3437253894862,36.183701961287866,35.36188019382163,39.78306897439157,35.51040737915903,38.26399782831659,38.48503740765751,34.525743024753815,33.01629978757831,28.869201132375668,29.18469435839648,24.922408748009584,26.564662211422736,25.558557287045478,26.462955535657017,29.08299466043328,30.41319984862149,33.36917912125894,30.69490903042807,27.726949086592104,24.866302917021745,24.125825174461674,22.71137395892853,20.97246149786003,25.160502188049175,24.18446129262552,28.43971710191559,31.285885760428684,35.37880835845558,36.165071183921526,40.15236535418147,41.26101078942498,41.00018581748685,37.97880833119811,33.7147957990611,32.631788506449354,31.250658337892435,29.63740500824967,31.373341373976302,32.736603655798746,37.08471384062251,35.67152818819879,33.84909229257422,36.64931927273097,34.233630766138596,31.44681551349037,29.979570259022523,29.646482430298235,25.833896869355115,27.10378856220356,24.233513923489184,28.17987596971559,25.06952421463114,26.062684091625396,28.682785517922515,27.84672233212508,30.002415383882376,30.9626689556656,32.55309617493458,33.59772189377351,35.69221472894545,35.40746861335078,39.514567411711695,40.97242172603017,39.3218044462521,41.54082830923541,43.33039767536137,41.02698141043636,37.37540705673899,37.65938369580109,35.54537876092576,38.46484505693882,38.84362864858553,39.01086717297945,39.224859725685256,36.815759303033616,41.91547278559283,42.55311231708032,43.6244236801367,43.15073875455219,39.1699887145629,44.18719328130549,46.96818160420276,44.36095807890118,46.96813493545844,45.35607798349166,50.128714324148504,48.43862659417658,49.98238571986215,50.81847816756351,47.39320906696463,46.89408968812702,44.60998409633984,44.91061097447113,45.19682544529924,40.48493857929954,41.18121830796594,38.29714865968988,36.14769419190207,38.15986435830164,35.52382759943101,32.346682438022704,33.71776164222692,35.04550168734735,30.39176358253718,28.795569077735,32.06593381731711,31.845821149057226,26.279548961748326,27.626678950906197,29.44274931297932,25.570354715393602,23.384466736227512,27.383020060197005,28.81220610748411,32.2719502478235,35.148721844085635,35.04306160843613,37.12576776232463,42.37590156572838,44.78711394059769,47.31581327228449,47.08127394233675,46.69611893769704,49.20141803631837,46.79063615811592,51.31504548938349,50.45565974989847,44.600778588094805,47.23317449471725,51.064102231753054,47.22079269026983,45.15261104728726,48.70940693961378,49.41699539449678,45.28139918610747,44.41457025665636,40.63174793842531,42.12939229689433,44.776917730666874,42.75740706762039,44.26854190555341,45.161062383637685,42.47336063146612,39.837239595165826,40.43100373319555,39.91293343165101,35.66688527942297,34.954007540498715,35.17489912705444,32.33084739553167,30.568226939357857,34.86373055458807,33.62350541846439,28.868342577279332,31.864832048626095,35.68522181912621,36.0167689407388,39.2485861886611,39.006678679471584,43.14106783994199,41.36594068101712,36.679316463799026,40.9099848303671,42.528105372160255,39.379670715495955,39.08653876027943,44.93118142935811,43.59440048960511,39.015419914216196,42.13529737698229,46.471594375791874,44.513810475431875,40.9126151101481,36.24192164032048,40.0116799454694,36.10659310767069,35.605313296499446,30.572916038384616,30.172065816925187,25.31417128472558,26.07669114919935,28.634085134026833,32.1957662466853,33.084628485825824,33.70338732989359,29.922873813670183,32.684832161835715,28.38562368889744,26.325329076134928,29.08407713661694,30.013929959194744,27.94380100503143,24.995411771257913,24.942727606650614,24.654435504301528,21.531914464292985,19.42271086351466,22.24813293442477,21.809257305521452,22.952806697515452,24.598364754005907,25.045688379788135],[10.551049271969475,12.469670629086886,16.293912443531656,14.51654999335527,19.59391923509293,15.275651093858292,17.772459953976846,19.619764209333535,17.734795675070373,20.92341987900124,22.10526553043436,23.57600519949973,26.07636060909786,24.282213634254447,28.390991305006963,30.339618696291385,30.472450840694396,34.74889301213506,37.742972027005166,40.36632969644846,43.80499549909926,47.67710120419189,48.777429263892216,48.35319624961321,45.569250792251225,41.36850733185005,39.24357753731798,35.13235626780507,35.04209870191096,33.77182103829068,35.631074749139664,34.7912951456432,37.23625232813208,41.51582481694328,40.192785317030804,39.397559634607646,38.31133444180517,40.277312768893054,40.51255585503031,46.09834063995376,43.690600710937176,44.54742384724559,48.85813706865982,49.7288847514074,50.84343721125697,49.81734001286174,54.047544813229756,54.01082623790112,49.59639889779722,53.59184379305715,55.95888347582607,54.52222055897275,56.687956914509655,51.4213645416108,54.29155090133389,57.90338698485211,54.32149097976492,52.423521587365485,57.258703756031025,58.17948578802174,53.70289462608372,53.95617270837408,51.40610547432357,53.432218640423,51.83131466535756,47.82425747490902,44.72494341449166,41.08797733110274,38.637108144089865,35.36869686085215,34.93496915852012,36.53433407647048,38.18153253402818,42.35836144652702,41.183906000167376,47.09300624937299,46.768823154783995,48.78291556461314,48.402484077116156,49.91357850752455,47.81617087623924,48.059381106349264,44.93566571567787,46.29200794803458,43.789058835034034,42.088396991694616,44.19138099822151,43.713991110236876,43.690899998958365,45.38483097248027,42.91049799916598,45.05955722789066,41.160901117461634,38.59387531593335,34.100392352134584,33.336356193662326,29.354920263849593,31.864916463382677,29.08472703957529,29.20696861150008,33.04929683096069,32.07136580523322,35.3932476371437,33.63216152228514,37.845045861669405,33.19872533303135,35.310891758579125,35.45906815223259,31.254460293127668,30.022459135931253,25.97252166546521,27.28432657588745,23.49700778729423,25.77681279361248,25.843322170284452,27.067897669984028,30.23275171522158,31.75103934074542,35.468928632702735,32.64971277217746,29.88738266919502,26.66235597839756,25.592016801185668,23.431119729407072,20.818602917228493,24.172314014307727,21.955835518543832,26.353152556461183,28.656605734015876,32.979960333924,33.37991890389474,37.16727908616917,38.81388025289561,38.683957247345376,35.99524588342127,32.06333197880169,30.5792356937752,30.158271102389083,29.24193874149027,31.248179541812984,33.444411566816015,37.96756289728133,36.653026413310414,34.35242438681748,37.09650970536849,34.686697229970335,31.69715751033432,29.886359573369443,28.818554516421706,24.906751677132142,25.234424940395982,22.692203578610577,26.099893295758992,23.08659798791915,25.068597821311066,27.581822205005764,27.17407416681624,28.587812094806925,30.374080031316023,31.100223778462432,32.577073697179614,35.437991343828074,35.15397680818943,39.242306302427885,40.37196581585036,38.90477494350658,40.45514519071762,42.36750587667521,39.61114704430386,36.27704982391003,36.249338536186585,34.59016748524373,37.424792055011736,37.764788532046026,38.11354276907847,38.07286619731427,36.25985287702182,41.02331114864019,41.80135796740191,42.388737244011644,42.00343115546801,37.43453797077222,42.343284556671556,45.20078088679536,42.91461634361575,46.14046232116298,45.07229035320667,49.70407140277797,48.316082987261254,49.269988097916574,49.792850425315955,46.2273939980843,45.23758444289776,42.620007694195756,42.50547213548654,42.34130741311561,37.56023037985035,37.774468998263146,34.52656323829826,32.367883729451826,33.77974334192262,31.123789074745954,28.23842080097053,29.216335023845502,30.13360432165158,25.553260439728405,24.1719210042797,26.952668743631364,26.440448764135414,20.996036375215965,22.240631811366296,23.74031396076263,19.83674429557847,17.806264523400365,21.70641162624547,23.412550569448644,26.516537934061052,29.9584583520462,29.7045373273785,31.515221658305407,36.83726658283662,39.057341675163826,41.70435313202477,41.507421472657846,41.348956053134295,43.97233660434468,41.83069840435286,46.412935986846406,45.39258111398061,39.73880750154777,42.609631419470745,46.42069301892121,42.579064238538066,40.76913077661566,44.54602711930465,45.156286770150224,41.06062069438603,40.70684777387361,36.488053700545,38.20377346817943,40.55252527370271,38.155663013560684,39.833657542020475,40.378156925232396,38.124343245979176,35.51493226502631,35.519732382162175,35.129675105309545,31.14496877289151,29.979047430668736,30.002458785527185,27.23049781278757,25.27291921681096,29.327552437413033,28.0544681874933,23.226231226680916,26.073045818717596,29.853464617361894,30.26855592703738,33.63355651254016,33.67678462368376,37.771106588907394,35.75732980942299,31.296863516037877,35.73556519318434,37.18860088230678,34.05612264411978,34.17055998017592,39.88187357306482,38.48363123145161,34.17942398580608,37.55981739702685,41.6883442672686,39.747445283094805,36.34587243046781,31.787969413860317,35.67856546607526,31.94395691965254,30.877319273905467,26.0845833820149,25.391667039623467,20.560199370320507,21.910103419852458,24.612710008413465,28.318101829209464,29.307901520945634,29.46949087493328,26.174576312909736,29.044787944278937,25.244999027592353,22.378401422645386,25.151989294262656,25.564150810757454,24.045462789764212,21.166532901581856,20.202044039969742,19.95510297288262,17.815941122846624,14.795297561269262,16.904099127129015,16.455086539214534,17.6247240806492,19.309511015047217,19.824092894152006],[14.472633798597931,16.74081506666874,20.860673908412718,18.933044565245215,24.221854930513267,20.108221735718747,22.38575980830962,24.173589706488603,21.80709883094424,24.653690150387337,25.42033487702682,27.056242616693982,29.77030339620743,27.486866751212617,31.410706325301895,33.68699763538666,33.89232424640335,37.92522004746985,40.72181107363622,43.67224979640612,46.91016432828792,50.98753335971331,51.86708801326568,51.434466204796905,48.897877583040426,44.571610682442305,42.75703659094749,38.66804724614301,38.59667694591246,37.482670736597804,38.7178137273006,38.338313155452326,40.49361934228528,44.69221842379105,43.67910055485629,42.88326834108819,42.153989423952844,44.068445638829964,44.423881752239595,50.202927637357014,47.57214265104282,48.164556536581465,52.55733120429493,53.44552055139415,54.43179164481802,53.545835346040974,57.75374154100754,57.78051567180328,53.57383958891407,57.64378441989346,60.03318964768594,58.7293212852035,60.79852231636481,55.51054183819308,58.366695191564276,61.83749303637982,58.10758344270269,56.18837572337847,60.98900880943313,61.82949940622426,57.180927105589554,57.22655325153404,54.55706745525992,56.39380628571058,54.99285841826953,51.10726621292588,47.60878091660201,44.03286153774432,41.251553291111485,37.899607660558836,37.235405093117315,38.392185788573244,40.34944064669424,44.691301337231735,43.84882389543234,49.70817427641103,49.818428140808805,51.83087103809793,51.752869723916966,53.46548592477877,51.64392313613999,52.099261947176494,49.137219438141166,50.64194568299781,48.07050652770101,46.21083151878532,48.02924998720277,47.54659857783597,47.17235574069181,48.68176165097088,45.93779325976582,47.70961127076712,43.78897995949635,41.34357730856376,36.98430441106742,35.8183848536862,31.98856753512498,35.008289284126384,32.50713146477423,32.7532770180101,36.85443024968445,36.290870495103995,39.62282276156019,38.182823471075714,42.54680078364706,37.98381279691955,40.18052670477544,40.3507924880002,36.150423452253385,34.90000733005753,30.845257793653207,31.990083271405666,28.059980495221016,30.128165254252053,29.775582168477364,30.797889609693584,33.73863793036129,35.072242501388104,38.41611628758944,35.726244754820804,32.804687306652326,29.79943492745923,28.802674838319607,27.061052930107394,24.86085554968953,28.48640172128758,26.681292386361157,31.04253467959922,33.45036301999172,37.781902271871274,38.138500196838436,41.994497013458144,43.541249110990705,43.47579462905638,40.638414248131696,36.62560681003921,35.06046800471776,34.38397948847464,33.149146561796876,35.209484389266414,36.91056097471655,41.427557946512785,40.19012637650105,38.14380162318906,40.97089976575789,38.589773143370195,35.67295265022745,34.01012631481919,33.21058930158944,29.280577922617226,29.83099560844984,27.003580881740234,30.378917940974386,26.887455057423157,28.721138583142615,31.569204785041045,31.23084773965521,32.9809022797379,34.57687860256857,35.671432157714456,37.05634043798903,39.65145409876024,39.323348138995655,43.461349492582684,44.64087244823235,42.98444822834815,44.75805494988208,46.49574427632345,43.82454171692435,40.4277704721589,40.60779196380816,38.892760722407715,41.86499951660926,42.26731671641443,42.569511313456594,42.583343818285336,40.53577974887369,45.39317664323986,46.199265608646584,46.942281252522065,46.54414700746377,42.12883559077428,47.05817476181492,49.879617405107844,47.49222639784303,50.552884038203246,49.29829666257105,53.967845523214635,52.36539689878535,53.55248736974326,54.116853141952106,50.649087134934256,49.733418505108844,47.18241506568276,47.15525810504276,47.00395739840528,42.207042288083706,42.51194792463366,39.2081667959526,37.184834316675136,38.49661482175612,35.90948337978134,33.06000666269116,33.82667121614417,34.69160340379447,30.195437559502896,28.629272653684545,31.246567862507646,30.733780827033748,25.333374088725037,26.24547070097495,27.528757134890594,23.77425157285295,21.573188798067722,24.950663865649968,26.878502149317754,29.781038924143534,33.34362761881172,33.47223457434695,35.14413184888602,40.565350048208956,42.44441880590679,45.3946894477547,45.470538765971064,45.559525778245465,48.31512305979209,46.37308202280353,50.95001997574007,49.76783578542021,44.233856853563296,47.24340310738564,50.94404453605102,47.00578813695174,45.3491392050391,49.20167949093236,49.57963614769513,45.4256016764579,45.30786571564828,41.08673353851698,43.011412313764325,45.32941211652473,42.863582175145304,44.5953327509035,44.976828239146286,42.857743338718564,40.30312448073653,40.08963067881333,39.64715768388329,35.82240107028343,34.54168859337459,34.31742686577643,31.525802866166117,29.630723306761386,33.408283555096006,31.906610156862364,27.077764614853077,29.848273741692427,33.482225622598385,34.10721377811906,37.66038425321089,38.00593082993649,42.04171913981254,39.73736787088655,35.50047010291563,40.10078240916731,41.29562246008487,38.08917440984114,38.490167166519115,44.08326228211059,42.37708996635953,38.198328783606016,41.80732708815663,45.73622992948028,43.51185193342815,40.145799411628346,35.53805063486859,39.06729853397781,35.13345839025694,34.045877738769924,29.44044386973859,29.23906652181416,24.582739109038272,25.47896152063811,28.438946221542672,32.00300581227454,33.332277058807044,33.77166200000616,30.723219341532335,33.77368895320118,29.99927003519187,27.190555058425286,30.03600050018492,30.340052645775227,28.81279089482821,26.058165689163097,24.934864044568496,24.541808893331904,22.610165137740452,19.604711117399244,21.288141302768086,20.42943351218524,21.346532307932822,22.851046225535335,22.991016169699215],[10.994945280031377,13.519138903788047,18.139167695565,17.17754834471711,22.88075707760649,19.81425862723917,22.918953152077794,25.097346945763043,23.789329872920383,27.00246313802451,28.420999697800553,29.891920057579167,32.217970250016094,30.440280179414923,34.70512916483517,36.60630083346356,36.497530144210685,40.811284435154505,43.55388583230248,46.229615203415925,49.58782377302153,53.405839220067826,54.39818873411376,53.724792595536364,50.99947728494986,46.85602452948226,44.76810743817204,40.77159508458258,40.97989543709867,39.84170248716403,41.95136881039422,41.04280304050964,43.57879376259889,47.87333814461112,46.44022434789739,45.55169814915657,44.346775553679755,46.10970870176004,46.09502530113195,51.5391246087146,48.97221759717191,50.1472407813053,54.48575546867712,55.105472214255585,56.018388358819124,54.728496412064125,58.93839273945176,59.19933412088302,54.71111008929078,58.42539660380065,61.08830884694948,59.683522469787526,62.0694162320983,56.827253050983614,59.94155987074908,63.55794486095714,59.973317259112456,58.28972160815951,63.163718812896896,63.92469055824314,59.554067483415814,60.01341396683922,57.576779008191956,59.49227029204354,57.760470487979525,53.81200621921173,50.697839852796676,47.19215561055617,44.60044008364116,41.48976391084513,40.883606863182365,42.42396351342315,44.30246828388678,48.42522733753887,47.424027245403465,53.37909623242522,52.991521975525934,55.103974442234936,54.62504990315981,56.00566861042844,53.81988687587443,53.81772132020737,50.64816709931903,51.7261040370234,49.15964457252591,47.77774675416862,50.05125323925069,49.74260904477812,49.813369683365444,51.68405107933262,49.24023573863012,51.43422500175831,47.55548544475365,45.0091121117623,40.503400998300265,39.74989869991251,35.7658476974113,38.23631367969612,35.376736774458486,35.24165462216923,39.13856687869223,37.72936550869339,41.15841285359006,38.913341136528544,42.76891236970763,37.87108362510239,39.457135756281765,39.2671428724418,34.85195097952172,34.18868084285025,30.18268113928684,32.06318041315024,28.685361383033154,30.87472732212747,31.407937857646807,32.30209019808679,35.71897728422233,36.85669332625657,40.90432666846232,38.427908226799495,35.51309190789426,32.36138893269999,30.751126456926247,28.656063425490398,26.067384947860244,28.767760168700306,26.3866885547249,30.601287127954024,32.51102970428252,37.11807090619427,36.7477267143972,40.51872956982358,42.359861726643224,42.75066445086581,39.897506225495796,36.24211624299592,33.982921644430895,34.083106712963215,33.28380426026066,35.79564403739789,37.82832128956213,42.53702749275909,41.6811818586273,39.38881710310951,42.31838899792914,40.24317054707693,37.124018614868554,35.512291770618226,34.274294001671095,30.53331366906536,30.533445029545454,28.362938043081844,31.428113892611854,28.402612455602096,30.883927559838302,33.38584873640563,33.12801213104187,34.162236763248444,36.2033014193571,36.36830865981925,37.68278052471247,40.91576456330332,40.16602074045226,44.40945996801744,44.9830747224247,43.18033020046188,44.38607933812073,45.935378076813194,42.865545936895494,39.833909047674695,39.9769472752219,38.836582374426605,42.003919479704386,42.634964145955436,43.31722443034733,43.376296144412976,41.930972125594856,46.58668111750365,47.21023676652378,47.5608032286405,46.90151060010627,42.16833388017071,46.74389796992932,49.45172679885663,47.267526437543765,50.857764381500026,50.10287938661615,54.504881703213435,52.84681155620814,53.58722349458113,53.74639336492585,50.34561343022939,48.90415708436316,46.10137100292515,45.76044124036548,45.14055403169532,40.3154972507292,40.34774896353823,36.6768168689614,35.04364307583142,35.72935472232997,33.506623787757896,30.852306278485027,30.812998983248658,31.511403430100724,27.361062164293717,25.3822636929563,27.510393192915892,27.251881976763716,21.862138881012253,22.145743934778643,23.235389431994584,19.955297300604755,17.322451900169437,20.044888965789266,22.121975049407126,24.85111946220131,28.45020318570672,28.923450497595336,30.457481574005225,35.926904831635945,37.54785909169791,40.72230501135733,41.2313929348216,41.620862487797204,44.639679869360975,43.158902057156624,47.605205933321756,46.01571931347256,40.75935987289922,44.1115863041934,47.49131178967744,43.39418098724317,42.14735716330877,46.23073144378361,46.11865644278622,41.94344930004332,42.5710396181592,38.10041504935027,40.65860401524056,42.732993508979966,40.10199825018184,42.237072051996016,42.43314768738477,40.894234352077,38.22682404856917,37.40746481317101,37.41744770480094,33.8736532696143,31.88266166641959,31.71218772577472,29.198114838988925,26.789780682510642,30.13288024202627,28.837987420279656,23.975563460286804,26.047987824313584,29.577269097762652,30.07891759147715,33.89041976775402,34.633145571945285,38.41239424153198,35.62730670784484,31.62925466602231,36.44415327660428,37.14295858462951,33.835484698023784,34.709122342431634,40.029359309395915,37.91398909564245,34.02331357368703,38.0035149230352,41.53738630760051,39.03248026637126,35.846182446188,31.3231631639793,34.561445075379446,30.645571766451756,29.184051087934204,24.959679376917563,25.056293858225224,20.770022758811958,21.55572377924507,24.784814100890046,28.221006321741246,29.955661290668147,30.38003637252432,28.158000053039597,31.572371180571064,28.44224862118632,25.1998343164121,28.492133007475918,28.428185304036102,27.82779791718813,24.852247406106418,22.783691326817657,22.939397713732372,22.063596912853264,17.892943569244537,18.809224340009475,18.271582720626384,19.053891137090552,20.232418773346723,20.013912422138837],[6.273662916409224,9.303659570411345,14.128261581827768,14.676973544275675,20.073969387483764,17.16999461783644,20.81893279405461,22.786516837135935,22.47640207236661,26.184218625012058,27.944813787306618,28.920397151340644,31.200959315358894,30.18746846261627,34.43562576904998,35.896233491366296,35.873480918529694,40.41409517182774,43.44498270890466,45.65754553297441,49.259463556119876,52.78233606362988,54.07436370045969,53.442100927798236,50.41510338324244,46.47759003369273,43.99287983228347,40.01009353088853,40.10999791675722,38.65894593604175,41.44104346434259,39.84215319852296,42.563520515570886,46.99379980718514,45.29564833116408,44.573592095433234,42.83785718663995,44.82491120960365,44.685543396379906,49.7438946605032,47.60731302223885,49.146577728025136,53.30988076553409,53.93375439911553,55.034117703425885,53.535764427511886,57.74234826099078,57.91756993009591,53.13648890366175,56.68373255096982,59.29621373587167,57.651570525615945,60.17266154654269,55.01157492815348,58.044976775004635,61.90219056079509,58.60434186973715,56.88982911918883,61.760300075442586,62.7141220061192,58.60610018140757,59.27124231297362,56.948672232541995,59.16006471223665,57.24140893863091,53.14088160158239,50.574028876046214,46.97448815748758,44.84864243472181,41.79295085376067,41.50116660183368,43.44693282196471,44.919328222700656,48.87928124317959,47.43596584003807,53.340910451565264,52.498895670882064,54.47530737772092,53.67470264207161,54.84148925828318,52.2349588210284,51.99740279115535,48.49705012182694,49.39302812733136,47.05330051724798,45.90441846430686,48.615121178998486,48.16892273176189,48.811174342993986,50.72261959920076,48.69169270570893,51.250136001132404,47.38662988705158,44.6332338364018,40.09938508701071,39.70099129913754,35.70204054355741,37.40134845980237,34.21043570138303,33.54037460705919,37.36233947353908,35.20423392208541,38.85171684360277,35.997219436329935,39.61893442650222,34.587362752060464,35.68898074744927,35.49763626558942,31.03296553076779,30.53844703434317,26.768174357722128,29.309088494468792,26.419323561068573,29.021655746996302,30.26410638958436,31.455168051905897,35.10785926274623,36.47347739361833,40.92186736179921,38.284049276820376,35.6337606500333,32.27889034773378,30.64050038143102,28.05672718370899,24.946215315426944,26.975119544115852,23.725320702966684,27.861235628406227,29.29309760670894,33.87887299720631,33.35880814396496,36.8547957182442,39.085505966871715,39.450943150564115,36.999790427609895,33.672368394043936,31.34755082034746,32.150354453941596,31.942782106402827,34.436938759504265,37.15129388282042,41.83004099557646,40.92175084688875,38.29348259482921,41.0520921997994,38.94517487306561,35.78400851113077,33.90986986391291,32.17453997348843,28.49777677218585,27.819551554467573,26.02669180657803,28.603338610353855,25.940368289437192,28.94777374799416,31.176457901398738,31.17585157556756,31.629372934916034,34.17850300853476,33.733262432947846,35.376131095973825,39.05511314792513,38.4388442761372,42.52471554667452,42.9628495839238,41.458593560242825,42.16524240624332,43.90846096105999,40.59939573339044,37.828652529202145,37.63665672202817,36.7714086998803,39.68784927365332,40.19662566258045,40.9373277997395,40.7743260574796,39.776297241600204,44.087395682583065,44.825641838523715,44.82469905982256,44.306601333640714,39.22647652374473,43.68575104109661,46.447660703863676,44.55153773974588,48.50780102140459,48.138167486550316,52.418187670999295,51.12191622086393,51.410674397618436,51.407919222767426,47.8860444140408,46.17341597739748,43.17867748144746,42.53674443392874,41.6501810597866,36.87123140162488,36.50385404603268,32.681880858403524,30.95013314281121,31.221889718625523,28.94250383623012,26.58943960190888,26.383729644953227,26.71031762485262,22.655914040303074,21.085219098518813,22.769429529380083,22.175122414824205,17.029235145953827,17.364961381465076,18.170711279301656,14.798048470486275,12.497673010612104,15.31868516730116,17.62487628231093,20.03324663583895,24.208584528245122,24.275708282845823,25.592837217721854,31.070032662775475,32.708205095015416,35.81136964851273,36.13843084495215,36.57033168888535,39.57225967447691,38.17228463002433,42.66314255323286,41.09296567900981,35.95547246170245,39.36532277488056,42.81167247403641,38.82913442738119,37.67989642232861,41.83259663989148,41.847909664509665,37.785876793492044,38.60207087098837,33.86092454645993,36.358372824684054,38.1951701361465,35.321766893582954,37.48379169040919,37.47300799925344,36.185448554698546,33.58134460094652,32.43156849829709,32.5187948071398,29.17463883375111,26.943575953694044,26.689193794761668,24.281360442561343,21.75443339003295,24.951218329155555,23.722308339269627,18.866079812604923,20.8238752910314,24.370340709546966,24.874856035920835,28.682291344999385,29.50620471554845,33.27879506691841,30.489090420704546,26.60728355352691,31.476769764019604,32.21291515664032,28.994866276280153,30.055982100818877,35.301739724046655,33.36748939039442,29.668744265910103,33.680248487734765,37.15610207622265,34.88279059421432,31.869888244148466,27.529441691037547,31.07831528650288,27.4839105675555,25.541547371075364,21.490575376232734,20.987968591713255,16.746681667948085,18.37006974447337,21.46673715193405,25.025900941047396,26.57704496778512,26.420846074995396,24.497066465486185,27.753338354417508,25.082780675069444,21.30092288506191,24.37004817576315,23.915346607172694,23.758482714508453,20.983273875775073,18.287086224275082,18.509910118965593,18.506443713209208,13.89798604691208,14.035904162453258,13.6119364656583,14.386106020497198,15.56474714232955,15.484864105426496],[9.06550723139716,11.064781645836566,15.626661678246798,15.679260808754934,21.38368388914408,19.870523748778798,23.527767925763403,26.128609322541482,25.86425365386104,29.153829595121586,31.20345184317147,32.60831001630939,34.32429090377442,33.01585032087234,37.57213517616912,39.075220545228674,38.548476564511645,43.04858596684309,45.62499939332262,48.002540349084036,51.41171961014839,54.91446571836081,55.98694040491443,55.043028790402694,52.16788515632399,48.274276992229744,45.960240002698164,42.14756425102167,42.705839802530946,41.652261728681665,44.641408980804705,43.301731274437486,46.25276570571371,50.53274909576112,48.63694346732111,47.57544075312161,45.9504556703202,47.409896272176596,46.97406968386024,52.00698084806394,49.4660937730824,51.24955403142732,55.492363360584854,55.788568952483736,56.57788882167147,54.86473066094175,59.02482794785158,59.564190985777806,54.8479320502534,58.13065412462049,61.090529898526945,59.627063787314626,62.3400231446104,57.201333252558165,60.61541049231636,64.30450945189256,60.872079819398316,59.50953797388126,64.42058104224704,65.02364638430348,60.988452254002425,61.91896020358832,59.78229958590668,61.71473333479815,59.61998333520363,55.67065233133383,52.968146219663026,49.61531136571068,47.21389113093579,44.43713057409028,43.8650255554651,45.788440285049475,47.6006701539982,51.42188311599986,50.31983499108629,56.33932447668916,55.41658913065822,57.681059657637356,56.76814134348377,57.7547942621451,55.26081367173877,54.73841700054906,51.470848864453664,52.04258864934699,49.44715120323356,48.61974569818371,51.299733614292585,51.27254452004603,51.73521550843206,54.05618098812408,51.91079543410742,54.53964179765846,50.769165423831076,48.20611482166179,43.583466136742324,43.301844495793574,39.186846855652206,41.16281704995402,38.04013328362307,37.728958871092814,41.15930687176442,39.007186485291875,42.30903779274579,39.326569190150565,42.48114994409835,37.33970252234049,38.31504423676901,37.650342233071484,33.11359381831555,33.17102812997714,29.28727743355314,31.76447977883443,29.0778298145114,31.19037974568826,32.584772889598185,33.25084019407196,37.06046793872034,37.92724710882425,42.62352576693582,40.457185360732964,37.591178872205965,34.390571050799515,32.172554098993594,29.82611043993674,27.012639411343354,28.62222914779078,25.887769389966806,29.722414907672256,31.081059302372484,35.87660606953616,34.67719555389702,38.3338836452828,40.36575957772219,41.304875239415175,38.384524158448265,35.179029027040414,32.19938018289149,33.0811872321522,32.733381915095116,35.66335022547374,37.95341932074252,42.759726806009375,42.3407276484799,39.862484975209235,42.86002194970477,41.20097239007623,37.93615953574572,36.498924121875255,34.911296507097475,31.548345502403702,31.13037145548401,29.820101765819107,32.641867557503346,30.393805719802433,33.26916485734123,35.228826943810894,34.89043684445445,35.177795330552506,37.48707147666594,36.66600517635943,37.72406225385544,41.52274471670834,40.25650655131031,44.556943153007666,44.43597260119514,42.463464085861794,43.07307072080041,44.36355465824972,40.93713158643687,38.349141256482056,38.48593415677296,37.985917099035355,41.343110537952796,42.261894352384246,43.379209782036654,43.57903225954118,42.78279567401928,47.212340493485556,47.525065189055724,47.49610387337749,46.46747132052285,41.562651815436425,45.63731385796122,48.1425924158069,46.1615776848011,50.23096002027918,49.99478053952064,54.041081294833376,52.28628155937653,52.57588455984071,52.300671038114324,49.04693107118987,47.076160032739665,44.06888452237354,43.4393781756304,42.357069823235044,37.580527378791004,37.406727812165705,33.43502503106979,32.35314020074185,32.43874660858473,30.780496255457816,28.299364734502507,27.320276734609802,28.00257591570119,24.39183722548389,21.75231159669568,23.40634662761125,23.762736936352127,18.415064176705556,17.83782105839567,18.921297473660537,16.51834546485716,13.151579779460114,14.953841782453484,16.927789868002822,19.740336790129927,22.910581813338215,23.859649990492414,25.416765185118475,30.8475131444571,32.3540695377875,35.6484247056374,36.66865879083547,37.2620858079215,40.54088011358879,39.52159235250672,43.717542443962515,41.683767097540354,36.706611503225396,40.36525309650203,43.30671962655496,39.03032606392517,38.204139768456805,42.4599168206879,41.773440267752285,37.589861994304975,38.968813331784105,34.381004418660936,37.66292240816467,39.522232932096,36.89650711639838,39.498850398900224,39.68053101341611,38.71634243400432,35.87554621097513,34.58358217612305,35.2252936260199,31.935375677438998,29.21827728431092,29.372498267988277,27.300725693854453,24.243877374091934,27.12601364155561,26.330048176595596,21.598813454929672,22.609863097019748,26.013488056249003,26.12380083641655,30.119923663950715,31.14847702809398,34.5408714952915,31.31478545328212,27.472631727971226,32.38091446015104,32.51833330322924,29.091011363153587,30.330878773951163,35.32990212786008,32.76216182550619,29.11727114834288,33.41410973540154,36.53298173656673,33.72323323701463,30.69618397265159,26.284353828444623,29.166103761630527,25.27731789003087,23.529852296463623,19.718969315403793,20.24694746743456,16.57275284824853,17.02942389562541,20.456993112703614,23.632667976112245,25.787073114179588,26.29206062979512,25.05252922331113,28.81961285113785,26.474437584404534,23.039744930418543,26.865962433760412,26.573078745085667,27.05875117500063,23.780670891658655,20.9271211492193,21.948172995083226,22.025466485772952,16.8723233439677,17.173615961043467,17.35271685622666,17.882626277887766,18.500037277804747,17.791984373261904],[9.003145230488316,11.087277672739035,15.422871832745377,17.042167130424232,22.244653325702927,21.06348896151165,25.036332583348404,27.337666018955534,27.78682343443195,31.40861423341359,33.57706666899714,34.558464622465934,36.363806418666506,35.58302052388989,40.03499569074539,41.255314619118124,40.865261032684415,45.482734197473306,48.26498154194713,50.321042557782825,53.8855761626549,57.174930972124265,58.45125069676891,57.536302062914515,54.47037216952815,50.73808987635724,48.163826063753184,44.38397720523082,44.837308991017224,43.530183657802,46.90279767355528,45.065254240017396,48.05494462169408,52.445033719929,50.43028072540092,49.552421632070974,47.540551682753,49.21390581911479,48.69951382155822,53.39246526073446,51.20764113444731,53.25885709328818,57.34872983251552,57.643876716895676,58.560016816468334,56.678722324125,60.812161840467034,61.30860480937689,56.38247552056306,59.48808040765812,62.416250111281556,60.765198959900616,63.58692217266614,58.54061526519925,61.862704807941824,65.74114970201312,62.554915384611704,61.15910694635427,66.04497293304068,66.81218946898548,62.984679893127336,64.03824332503508,61.96457765859091,64.11905763127488,61.92221243936688,57.87293405729975,55.54982371897143,52.12657002048732,50.04364736235198,47.27162004081048,46.90943011146973,49.03187936595814,50.58347302791148,54.33072645350432,52.928770234820774,58.87747498620717,57.69252595935451,59.80776097226302,58.70353557878835,59.560439500923636,56.7465282748523,56.06847227002834,52.523845981232476,52.95660541493976,50.58529249861404,49.947287791571966,52.95789060689082,52.77876236729591,53.68388016693617,55.94829320004158,54.108974877789855,56.93155968315584,53.158130127977124,50.42914041619104,45.841197581646725,45.715985532855775,41.6548120179102,43.08980029465388,39.76129186664011,38.93383248024101,42.433387968997486,39.69108912244027,43.23303221583945,39.75397090677971,42.68890510777385,37.47717571331998,37.89376756832176,37.2145052934522,32.67894177254028,32.97127955503068,29.4296019378628,32.52252118610775,30.319901804912956,32.73707995197466,34.64046651504678,35.51223943924726,39.44268957794363,40.450042951497,45.37409921082868,43.10438212468428,40.42719951302112,37.123338233298476,34.92542230943066,32.29877322795362,29.177518141071076,30.240856568619257,26.852345647433506,30.500184299642775,31.337050264068044,36.05500538634371,34.605575279573735,37.922037581508086,40.34554210288025,41.33413110380534,38.808853956700176,35.98771783516968,32.875628655020996,34.41749026143893,34.55036206724614,37.48537973306022,40.22293699524608,44.98069645975835,44.566668794493374,41.87021733853975,44.72397098345186,43.05736036185267,39.79363862797775,38.159463852889935,36.189679816919806,32.903825084877674,31.88612677416826,30.823010343287404,33.06991430530444,30.95213568989765,34.28837825544906,36.14363289156552,36.13025790970813,35.978168095838264,38.72745162981772,37.441914334557026,38.799500138429806,42.9325068920391,41.779406335089504,45.91919102348844,45.64223825172708,43.88927177758469,44.02927633809523,45.3981028657946,41.7490492089486,39.47815623600667,39.36610295002152,39.18640194770288,42.33320927563399,43.16086276591341,44.32826387831588,44.31210759884007,43.90134095610468,47.97370039783125,48.424859384490695,48.07242706422382,47.184857184941286,41.99764883081827,45.89099559781957,48.40456665780434,46.72165931823359,51.12035123578501,51.2395531427525,55.134785425245255,53.65783560550488,53.543192372893955,53.072491640965396,49.7710553754729,47.49991355466536,44.315057654799524,43.36429570592274,41.927661855857934,37.25585463548682,36.636222276001654,32.461408882764516,31.449430994012072,30.854634256792597,29.29383457568461,27.30193650293625,25.8453138387092,25.973669296741676,22.77400472159446,20.50636765689795,21.254696674902515,21.26835794523372,16.601818293912224,15.577976469184648,15.9249407577381,14.018376184357926,11.052224164946615,11.735756768578725,14.232546593893307,16.145234806846073,20.151617984407732,21.03780625569954,22.071000230583977,27.507721491006162,28.597412746543494,32.11892243529293,33.27699219523126,34.21639308585496,37.6058085235696,36.977905033910325,41.13570346968653,38.925443848959326,34.3382301296175,38.197200886872274,41.02413195426215,36.83475079275988,36.35717599687699,40.742304415197374,39.93848233613527,35.90510917589786,37.82850287873977,32.94416913600793,36.36278758010655,37.83993553072044,34.88077471706083,37.588008396683655,37.35419326313405,36.91989461431572,34.230994044635054,32.28632972630795,33.05894314940521,30.259583426691123,27.112228859264608,26.9821779015768,25.165507286261246,22.02739342901936,24.251413209191906,23.44707742930571,18.971355700627214,19.429937052463757,22.533666586286383,22.78063937912223,26.909523600634735,28.387896863092006,31.573528891697983,28.012775094972884,24.693271808530525,29.740505612400476,29.55676858357011,26.22157587007866,28.061980736396844,32.68698683490759,30.00895682838844,26.88625483811119,31.42527296874555,34.14402053255797,31.35315231431114,28.68814345247429,24.6070388369738,27.402299416007672,23.87342710163489,21.371743963161986,18.279580809362006,18.559409219798667,15.498437753269537,16.524211217045895,19.857928464784695,22.88283658663963,25.10282439400528,25.094754494524533,24.618545941537604,28.258328967007934,26.608924563219055,22.691905280654865,26.21668211375622,25.366293074751045,26.44293203026122,23.566669376322434,19.958246864097507,20.979163725460882,22.19207627853284,16.870748341000773,15.933310757094267,16.03876376529381,16.182761612162107,16.369904645198293,15.278163303846863],[8.687961143915011,9.351992200612449,13.054449024373021,14.194137391329159,19.335440730729605,19.30245884129051,23.20719666002535,26.03482150324857,26.70676138956343,29.960483401065638,32.496013697126855,33.78219574430132,34.91557116485944,34.115226741235745,38.80006324935608,39.891750016369194,39.04330132174813,43.6466164629349,46.1113063565501,48.130204197022145,51.58740986477524,54.74794392548034,55.93812414283119,54.81480861940036,51.78373024547962,48.17211530525915,45.62950393783978,42.02246565837847,42.82541314199528,41.82014538417525,45.57109321345743,43.8282753899754,47.117161536110096,51.3310837807984,49.03115581987974,47.84884367945392,45.84477676984246,47.053442384451266,46.26878947680695,50.85453837637351,48.43965393144677,50.73469410228245,54.82387223840655,54.87018931826035,55.60397973393054,53.55185329886305,57.6377427777941,58.35211338887057,53.449700165440056,56.346992438268565,59.4915448485454,57.957520513367584,60.92090273099482,55.9175866552174,59.53146647494719,63.28007745911447,60.03734995184083,58.93794622865834,63.84005079492323,64.3414454106908,60.645527693922276,61.977650064051446,60.11981805804807,62.09987365265857,59.701710745253635,55.75939108321331,53.51362851264335,50.300503611319435,48.17161191288155,45.70455023284012,45.23456552705746,47.52283056360388,49.16778763708053,52.674189081617826,51.4187957876585,57.42351312298299,55.995305286548515,58.35111491519184,57.040427906179474,57.66243746171212,54.89310772146734,53.91921506821018,50.58391078982096,50.709606334558245,48.14263111905126,47.80391894456126,50.830337377630286,51.02654108013554,51.86783167927941,54.553461360320426,52.72709649931479,55.74628926100557,52.111642905257526,49.547232966844426,44.878945844436956,45.05050289832785,40.879700657886396,42.34316248594821,39.037783751673985,38.61459426330435,41.51177497189446,38.756720429649754,41.85044135456254,38.282985041128434,40.75403593072102,35.499753284658944,35.94760078866316,34.873498997968724,30.329372801908086,31.018676357777466,27.3476682915168,30.27319195008682,28.29850268623221,30.31452971049825,32.45550619384882,32.98451879160454,37.04296920388139,37.746866428443084,42.92793541443282,40.98924859996219,38.27702142527481,35.06733345953959,32.46156306799365,29.888504820223748,26.909048209153617,27.482720790335097,24.459400329748473,27.811348810512662,28.621799228882377,33.45461511041728,31.58917646581815,35.07095020096598,37.25116705369035,38.61001594018397,35.72424115934608,32.985408141312455,29.505248987343855,31.109626206504696,31.25474330075824,34.41124768084882,37.02064321112993,41.795522422664526,41.680750647273776,39.02990566918532,41.987523845215215,40.67096593915616,37.352164518431316,36.04846612830431,34.165068858808056,31.22885624281981,30.45720635635229,29.97647060844631,32.55290829762796,31.14464604207141,34.204604305636515,35.5883361094847,35.14665449003,34.763448758971684,37.240658976079125,35.56266866608303,36.39479503489804,40.627188762014555,38.99629505016714,43.240750068709666,42.56248862714656,40.56305156352324,40.611562836516434,41.747966115284335,38.05580133780918,35.89263392598785,35.940448332123644,35.98731068584025,39.38157416654625,40.49486261451265,41.95308669306779,42.25626624850387,42.04708022614364,46.203840201045665,46.24590828439898,45.88082741394412,44.5704652997764,39.57568439705627,43.17070454070745,45.48909390262968,43.72440660068347,48.16558266717292,48.392119917118684,52.101591065625485,50.369286874703,50.230013793443725,49.612274536105204,46.469444536176766,44.08409831292293,40.92689632227455,40.04278306190467,38.59412587097502,33.91963429942159,33.550474620304776,29.397076850876687,28.780425576811332,28.405626130240616,27.277304515846787,24.95766520959994,23.210814538827503,23.952063909787377,20.895780634160957,17.67879407971625,18.957393837728617,20.028436368423304,14.804958500257543,13.447112527221696,14.748828328651184,13.365068095121392,9.299812870998194,10.278416302545518,11.839176832086496,15.051581968072808,17.522241945591194,18.747826222326477,20.49955095543842,25.830004054829498,27.501987548181052,30.69281267481089,32.02015675762667,32.61397643024564,36.032932898193735,35.28926468390566,39.23891373172401,36.91787353562692,32.107430294060464,35.933967335935925,38.53476333201812,34.14842553328439,33.59748271464705,37.93697048741495,36.86956593711151,32.70732346090295,34.59775537895675,29.963704044984443,33.7637572052812,35.462457721330495,32.939939581576496,35.90179221210266,36.19937706081152,35.6361086475504,32.64243368995255,31.120123226861967,32.34576178144836,29.225812950983773,25.994584159008124,26.620414234186416,25.01306205099912,21.41411513421777,23.975756377407198,23.821056447758192,19.390410641449872,19.369844357436463,22.678618115755903,22.232489865285206,26.225632897273254,27.290541461053426,30.329214809197286,26.908581126684563,23.0512694571061,27.90326368551148,27.67329408492457,24.162728488786023,25.531592072420707,30.314554174360794,27.500622234142078,23.957507024358847,28.409402092381118,31.288184001355393,28.35196048212344,25.409987877497485,21.102998370404542,23.879468441840014,20.12947787947565,18.126067238474654,14.551049939158757,15.251385238438038,12.224216289864165,12.533576599930925,15.961694562002739,18.915858631911423,21.273562706216634,21.728378529326346,21.340713705144747,25.2767945906601,23.70481738454809,20.22972893620312,24.409358869220334,24.013714543217134,25.438360293523637,21.95942042259167,18.64205741601932,20.519390156109022,21.286049949901525,15.66922956023706,15.615057463480161,16.697848105163846,17.0829418621574,17.1930679366163,16.25604076063397],[4.932267133921309,5.5526901531885775,9.832701701566538,10.827638431405985,16.112140807716266,15.296049962691894,19.21872562668073,21.92519264688492,22.550990684577283,25.92084663242127,28.411788578248313,29.60310518251756,30.844422156174556,30.15580326365417,34.75771329152482,35.820476392162504,35.1358864523133,39.77016299408836,42.441733374054714,44.39468637098118,47.94852860966494,51.141898774648546,52.43667467860932,51.484064044671086,48.37151214932816,44.70973152991931,42.084239628873476,38.37001080792415,38.96952041970786,37.82176011698128,41.50617702751328,39.70072851004844,42.94590621555321,47.18938584701598,44.943771036905105,43.85748436429918,41.84765243396099,43.25074473948432,42.61860155690212,47.30229442287062,45.03216165763574,47.15864329004421,51.241059869260035,51.468784780854584,52.36962201120156,50.476299231388175,54.61095702767028,55.10590467092027,50.19154164246573,53.305129698694856,56.25154780777117,54.65499186017931,57.48872953577988,52.4347594671182,55.8795048430862,59.68338219018273,56.453673798707214,55.17872753186674,60.078060037371515,60.73019280196657,56.95620968693088,58.15087449208281,56.20452331635726,58.29635387387169,55.980990734500516,51.96585379105518,49.7630296719504,46.43808071586001,44.43472023602507,41.85918812893927,41.52298147988496,43.86820672498955,45.340723431426845,48.883216191520184,47.47549963631987,53.44553131978515,52.03731048350079,54.3011700284241,53.03799103973855,53.745481539264325,50.97111053245288,50.14898782777601,46.76146835442898,47.07166898510368,44.5666767053307,44.02556007610916,47.01633162855843,47.06038167868738,47.91759387691023,50.470188352634146,48.664908202939436,51.67628510206411,48.01989257871695,45.407965773982575,40.75370446692888,40.938967241243,36.78719798744658,38.161092821870376,34.84426164593871,34.440976995362405,37.35734176307233,34.711726948967076,37.84531947162678,34.44013865725349,37.18763099543505,31.97331312958236,32.70995502389804,31.883407930613096,27.33383727136663,27.639440004619903,23.845166450603262,26.637290582995405,24.432513768776115,26.645518674584103,28.672562964459726,29.451341223037037,33.4495201903369,34.4259598641982,39.489326475452394,37.305716350465474,34.693997545413005,31.39270464927587,29.059590103569995,26.33655256188505,23.18818591755964,24.052958628170867,20.833215348445155,24.457668408955122,25.49668772958959,30.29102548977639,28.932951889741414,32.487098614533544,34.65563019786265,35.635711806981526,32.878070742531946,29.905974004443166,26.872450251634156,28.247784577885497,28.388810423133414,31.283455857122153,34.12839088441008,38.855085715293356,38.42788600388485,35.69794684480261,38.55651588876632,36.991530803670116,33.70469406301066,32.209659730795266,30.311996905409806,27.219461446079098,26.48010027877192,25.83781279638946,28.532374167832803,27.136108630392833,30.071693154555586,31.45382479284205,30.997098516901627,30.73336587202825,33.1991814803174,31.75373018266862,32.78847131103534,36.916050173550815,35.60077279178626,39.78409846903327,39.47443315274976,37.71612666502535,37.95983218890971,39.41075093974932,35.85072616031044,33.43361557692026,33.315839215404964,33.018826033490605,36.21502155203137,37.11871008837875,38.36936466839498,38.556999226315014,38.16185289796244,42.376992969062805,42.57031117352748,42.3108829320218,41.21867360867164,36.18532601042741,40.08483847434982,42.570951378047575,40.74670990639301,45.039552348622166,45.09039101919861,48.99811725984993,47.482613943126765,47.451883904151295,47.079801798135975,43.74999236734822,41.632806994125325,38.5289294286189,37.75552661771616,36.59122577251747,31.830927475400113,31.51995758755782,27.541369028788704,26.41433283120373,26.535256787247498,24.933510896055086,22.388619714845998,21.417928572554228,22.26002319595587,18.608048277934973,15.85700607157755,17.772014967920622,18.437127350926175,12.743475345704729,12.386770821602935,14.0788823879961,11.638047797072005,7.8483186310713275,10.76627351480662,12.244421325861397,15.780361292837588,18.58017157004172,18.964469695970674,20.906147245748063,26.27219531952246,28.41656381629649,31.240245636325394,31.912694037274186,32.11545107969652,35.26411781118436,33.982948550844796,38.17077010776043,36.297529740827336,31.08583835863946,34.62101199544012,37.6762743732265,33.45160492790716,32.43120805306972,36.637696951555824,36.191455224774394,32.02969022815283,33.170489183899505,28.541931927286445,31.71946887633649,33.62777315710102,31.12818398132814,33.777192746690844,34.246001023447505,33.169025465255324,30.182962106414195,29.15110534907125,30.036229407452208,26.545226312809408,23.797958588418105,24.474511040611954,22.563481317506675,19.175840649758875,22.428446757507103,22.155150860483978,17.46707667576442,18.27238095385204,21.954777449485295,21.574892990128195,25.347814761647204,25.926254400073685,29.371395707737594,26.50349694087098,22.185024178379507,26.935018678097048,27.391885369583893,23.97301828240478,24.781228463229322,30.039525379268962,27.85109361383566,23.900242645125914,27.95634929030649,31.413253408620772,28.96727349238039,25.80912771810109,21.368366005132188,24.887165628942576,21.267478039620876,19.54323438500326,15.264415577586972,14.98435829287284,10.90117463659969,12.162288318194427,15.320139139585478,18.79163319051267,20.518303812773965,20.63588629504762,19.251176351492003,22.929739869561992,20.79391626387619,17.221215408368142,21.216714069421123,21.04318204268149,21.93753241210742,18.394793505641534,15.46099062331468,17.151724184058004,17.366222853158042,11.833473435212369,12.459046694217445,13.67860146186723,14.518117933612666,15.181838111263117,14.945649255653402],[7.309300854777379,7.861849222280278,11.896984826513934,11.200869925939744,16.95826291075656,16.191368968792684,19.783081309039172,22.838812409097528,22.82492275122227,25.82431148117869,28.246700618593636,29.872425929780597,30.967235543974912,29.748070033014844,34.49833014865297,35.82348629612941,34.93136796045533,39.45483322718208,41.84995020456512,44.1216293844727,47.498973150941474,50.87013862636352,51.9397025289792,50.88291360296153,47.970802577788994,44.181665384232005,41.82232081115563,38.12047757939748,38.911937289257416,38.05843872428291,41.43979320048889,40.102803066251035,43.33570572722327,47.46793024212487,45.3004904855353,44.006518113545646,42.34198068723716,43.4656219462136,42.833631342918714,47.78023704413366,45.12535036393259,47.09117477434688,51.31593394426477,51.464113312488685,52.17922686627661,50.362224434119604,54.504160679204844,55.1342079760993,50.40614230280887,53.58450204040042,56.64595957884721,55.24273288460132,58.03710877461103,52.92360826872414,56.523159567488726,60.13662265423525,56.68420759872286,55.51553873806366,60.439789175986064,60.88193374379419,56.95871353092784,58.107976955420376,56.145538733438194,57.99529919604773,55.729453560169254,51.83117422297251,49.27420924943009,46.05891097778003,43.71422855861587,41.185290958696065,40.60086635452123,42.757662391636735,44.53867653763632,48.130336405343336,47.05275853135962,53.10585920221294,51.91386214023746,54.35147653878281,53.23268657123892,54.0154379957291,51.523671839511046,50.771825653517844,47.65278911817353,48.006309002911216,45.27543379520006,44.65479012818761,47.36813919199038,47.614643531378825,48.07476640654333,50.739124077906276,48.656678293850575,51.506260832804365,47.86186779669249,45.41663949469557,40.723231324672646,40.772026148059794,36.56050067360368,38.44958904130956,35.320962175287306,35.365860161141825,38.207218768836675,36.03928290998856,38.93865263357671,35.910756010880036,38.729186224312244,33.57730043191773,34.68327574422112,33.772435846288296,29.249288495531218,29.50300171363455,25.474207142345755,27.739702309537698,25.18878698638373,27.018368046909107,28.62827801719238,29.09631124565009,33.02743118237288,33.74953323504462,38.68254765488443,36.70211994395273,33.865556092977926,30.688307875673782,28.188145621122512,25.78066109323862,22.990562049010997,24.238673170830964,21.74951926209787,25.418723466978406,26.84675898551863,31.709370481591463,30.36638097663172,34.180863887094944,35.993969152959004,37.089340173918046,33.92488223101027,30.704535883627756,27.602163529757153,28.449078880715515,28.134913351712264,31.153352609352563,33.484562088347,38.294024569453356,38.00287002510229,35.5011704327085,38.54174643006789,37.095913342974235,33.787925923665064,32.56333675532268,31.023971846335535,27.936110574149417,27.738070108838908,26.946260505106356,30.09105327164408,28.571832487569402,31.15210067218083,32.62364159433926,31.88439274285754,31.96136017287714,34.031792312456204,32.90554200900313,33.57345072991126,37.44136564317662,35.87806495471754,40.23788325190518,39.904990329612716,37.8370598127405,38.425599094179965,39.66604790841021,36.25332802371462,33.654451803352224,33.84189802795788,33.39989878710176,36.87911323910635,37.95849685976593,39.254425705958674,39.68647695857762,39.02851784669454,43.53048977513564,43.53565364088061,43.517599932262975,42.207128203798455,37.45269842633815,41.37556380365369,43.77779241804463,41.71502293005473,45.773538173322976,45.582928152663875,49.5378383909444,47.678748738040305,47.962293886960694,47.65764561521835,44.45508736136742,42.49355691968478,39.531321317913914,39.000924548393456,38.03427997661352,33.2360417566288,33.30141986305048,29.453849294100404,28.490407871442553,28.989583930816288,27.511462045023137,24.66998882041279,23.806598485959096,25.05043498616523,21.353761120864505,18.15370487071672,20.528802545551944,21.578096649562006,15.692912612956833,15.308169332896426,17.28162533052552,14.931752418338966,10.980635173482284,13.714683958746797,14.8798014818918,18.741334920297696,20.824693812811006,21.623385615355083,23.81189782634541,29.111166573003636,31.29659693189507,34.12792071481675,34.97722783647874,35.100399105527806,38.259792025622716,36.9116199196406,41.01079915252507,39.09965345219841,33.78797581061489,37.261226415014654,40.20160182894581,35.864110308538265,34.76437376898321,38.89414151131925,38.282643548508865,34.019404256215125,35.00823868634034,30.66614886740943,33.965779919966856,36.09485521583656,33.87010108584794,36.53970749585366,37.25158023386019,35.970513616852365,32.885411335385605,32.17273401931236,33.065711457742545,29.372329919615467,26.805496721363188,27.63260141287503,25.649044147434836,22.31305240593068,25.71948337375271,25.442348240184657,20.708789278244037,21.61538733125319,25.300175239140355,24.864854755075605,28.615799959781697,29.081566168916762,32.49517776266747,29.65570891588906,25.21111158185279,29.854295770594046,30.263104819406742,26.77215507990093,27.349492425433077,32.65008209460453,30.29398171800791,26.149648936471767,30.137003210413493,33.64002912904286,30.979223549310976,27.649449668056263,23.042275107045153,26.25447431068352,22.306801804699564,21.12794175874751,16.639060280020225,17.026847495502917,12.969273203210946,13.197599935370796,16.49926702884571,19.830147827223964,21.75303719858579,22.49250998310553,20.851180673161817,24.720346124466424,22.194369761898262,19.16225680551414,23.45488420880039,23.667072246252992,24.246034250556168,20.425374526622793,18.05456210383465,19.7495489467031,19.198557023436692,13.891238970783327,15.286140622655683,16.37499266437954,17.252619254057645,17.98660170507753,17.664101239301853],[6.779674238030541,7.832482385119718,11.977691542650112,10.505748251705864,16.306145582895432,14.161632093099742,17.498528901014108,20.31701536083121,19.731336245945865,22.804550609765062,24.94485915097488,26.57947030409994,28.023644821559145,26.62887195151849,31.256449978047385,32.757890102893946,32.139639454242435,36.6282045364199,39.22677991400534,41.607618550477866,45.02922203300524,48.568856382123656,49.66302853069965,48.81502436375049,45.91779440783233,41.977260845338115,39.666427433083776,35.80375012942532,36.32623066342196,35.35024409044279,38.32018013934996,37.13275717469498,40.17648433074484,44.35176992882714,42.40766917908021,41.23816391645212,39.75032862533437,41.12369952851404,40.76514463979769,45.96007349786628,43.369049687090914,44.9760745785441,49.249199760268596,49.63975743892205,50.50070613086018,48.951845030503215,53.144662422198735,53.53678596976229,48.89634552206843,52.38116364420668,55.2074773307906,53.79276338172796,56.37794087553998,51.189431662230525,54.56669621392765,58.18485341796054,54.67181380086569,53.264424238099394,58.17861363541293,58.77345858198308,54.65754249216069,55.530998254385345,53.38512003407916,55.2969338153295,53.225498839419764,49.2761649831992,46.55382537810026,43.19534774571888,40.82347938528463,38.07183432231926,37.54287471962578,39.580872837473855,41.30586241894193,45.06740421029494,43.94248775795669,49.97604948716109,49.02078731597124,51.349626594617334,50.44084302605687,51.44405440762609,49.07637559429149,48.635247702149414,45.52117652432945,46.202735653477845,43.51701579876817,42.5347901909456,45.055860466485306,45.09269836256633,45.3918588291908,47.793948109504825,45.58563124521144,48.2559939528346,44.535759306593704,42.05903703379522,37.39471507375634,37.24924894780106,33.06975428702477,35.14278414956158,32.10154523401562,32.242364021781995,35.31921925001301,33.537376924440125,36.53162176368666,33.920667850834015,37.21792747078777,32.20178174571715,33.73513316218592,33.18508040242513,28.738576926243294,28.439838020181444,24.301511082924364,26.196784641296578,23.154448387971154,25.142294002719506,26.267403721240065,26.989706694714542,30.727195436132636,31.7330905335214,36.329089602158916,34.05787000003756,31.231921096110998,27.995012577252503,25.912492422881126,23.518316657069654,20.713019414761035,22.715259633732447,20.302325720598656,24.323928097950287,26.146632085517922,30.876665967917578,30.200952994448933,34.073651633872494,35.79619501561653,36.43515508190867,33.387982596731966,29.84114582373229,27.337634121681006,27.676174349428447,27.133538014741983,29.811664444725956,32.15051455539554,36.90082563695398,36.23663977835666,33.77038685012961,36.7347723101546,34.95347244783481,31.715973601963967,30.296095816715738,28.909984470110505,25.528480192280693,25.55832399823771,24.247853137431363,27.600897720577738,25.722004377259246,28.0685410863191,29.79435151892532,29.075794535706144,29.57222364092764,31.52132912940375,30.986213690452104,31.892408488902415,35.446385955234696,34.29464524428233,38.602251590943865,38.78809304485539,36.92832635135798,37.892158180215326,39.4115839918858,36.238828992167406,33.314202332524765,33.41658508175956,32.49168051875838,35.77180914984292,36.60257004561958,37.584294566288555,37.88555437105697,36.82754576637954,41.47243278486705,41.70440964974355,41.91193174683592,40.89079287087725,36.19119516036991,40.501942656795606,43.081787492687575,40.90449038915774,44.66880150872953,44.153808303234456,48.3745406850803,46.676714156873565,47.21417571760062,47.22802071480341,43.86819917259096,42.28205234482155,39.44544024690662,39.096982132813096,38.47664760735615,33.645548093135105,33.81751991089226,30.217609589487,28.751778256358676,29.730202478692018,27.768089446300856,24.79243069243973,24.74993980926679,25.977377551589925,21.817106649352993,19.27691214166533,22.02500326394488,22.518600369698234,16.60392297142103,17.047024555652303,19.001345242094192,15.873123164785753,12.64244631458224,16.22513254322306,17.523054086665496,21.233415973648405,23.777537857156,24.038720169914487,26.18309430735112,31.48946752471276,33.83037023433348,36.49535708862511,36.858275360719034,36.76812534736206,39.688884208203525,37.93378933510959,42.23625760777809,40.71913745911114,35.17053635937367,38.368205013114014,41.692071143524494,37.53984615158862,36.073828439189306,40.048394537419334,39.97543855553465,35.755870137235824,36.088876910709224,31.818052355037345,34.46581449807434,36.755486893693345,34.522759190273014,36.814795807225074,37.57193418386597,35.82285802312895,32.85209035820505,32.54662644038281,32.97728309934671,29.04029490622993,27.046405660721337,27.693776048634582,25.378739760958343,22.492694189325828,26.3381835343957,25.750295629318682,20.888930651345007,22.622928420845227,26.457189821185885,26.275745503404924,29.845302219116757,30.019806864006902,33.75489192778696,31.330613233984305,26.725164163291524,31.260664090407076,32.185430543578995,28.82579784836167,29.066353008245418,34.635003797994436,32.74329544606001,28.417676130647596,32.08280851489864,35.95197307596425,33.64340845203775,30.2195676021685,25.592713618257378,29.20034260465749,25.354072381309052,24.330122091476834,19.568784841855905,19.36801993564822,14.789006065976782,15.589307734178568,18.573538258430876,22.147237446830477,23.578256835852212,24.08783372078717,21.57639771645818,25.07816432723595,21.914302510194265,18.959332369354644,22.8103518087081,23.21855203774468,22.988754811411155,19.320508842752748,17.569193552348615,18.670299264628543,17.333001418221816,12.636537457750483,14.68483891738093,15.395133092868257,16.536015528934,17.73676677661086,17.880575127978627],[11.430622659416239,12.994878008877876,17.102234412961437,14.892271330087501,20.67781161646247,18.152358239821318,20.938162021872515,23.661613103503402,22.107180276250585,24.800737612791032,26.45061760685149,28.425521900627427,30.143456869618664,28.03236813960374,32.56197277840612,34.51830656471613,33.96757492739325,38.209541631012094,40.59786937688042,43.4288307305333,46.62596017330737,50.46732211519568,51.288914006847826,50.44910058710589,47.84906099044326,43.69948293806358,41.77962530803411,37.88531757638513,38.41390300551291,37.647740551304366,39.8475605015415,39.28049144132409,42.035794050752756,46.12832460741618,44.53036369011689,43.3077475051443,42.31444454693045,43.61168752569574,43.443556986378205,48.98624232744008,46.06898430154366,47.27262541416546,51.69016468552508,52.133839118295995,52.85099471280289,51.53240032100437,55.72039647072279,56.15415311433984,51.79501738446195,55.45634228146699,58.27779653916837,57.052207981874844,59.478896932965995,54.22914256511706,57.59270150555466,61.01438990504492,57.26724842643871,55.818426046067295,60.7136459936282,61.19451288821895,56.81736549776152,57.42426935435183,55.11979078893465,56.79216278646444,54.95626550762478,51.137680206337066,47.87927012901121,44.5681465196416,41.76003812684753,38.880836582150394,38.06799448736646,39.64044895756914,41.746228172568934,45.72523084926169,44.998967977223934,51.04518201354921,50.598747168094754,52.97740409263168,52.43366826834933,53.69932431834711,51.71166983760739,51.56953409389038,48.70151682254563,49.62673935661252,46.80948707055542,45.54465242920917,47.652756755903454,47.704817401558266,47.49790372951268,49.72500681400506,47.134623746909384,49.389542920938844,45.62236997127404,43.295649648581225,38.70363605525485,38.11916761786053,34.00968606537909,36.7916915525945,34.06398285718998,34.52684139646898,37.88476268286837,36.766177623521386,39.71794150373903,37.66888272412156,41.28341255582966,36.425321059132145,38.30281883777599,37.86677879958646,33.4924676999808,32.9673741987374,28.745858961822297,30.147761181767798,26.672302019891013,28.380777324704752,28.761370954241215,29.28112276231801,32.71472983850259,33.55329091578351,37.65885271198893,35.48339748382129,32.4187420461023,29.38926475601,27.457940533412888,25.582189775883585,23.30614519155988,26.02431028851275,24.325802142219334,28.408466562860802,30.583933345872484,35.249281620093704,34.771049928536975,38.779004418050796,40.244937566410385,40.833549002904235,37.56471198513053,33.77383441099082,31.407954443704828,31.13529797162175,30.047250771368365,32.67579333017084,34.34915817100505,39.09207168557248,38.43000585682872,36.29849061283829,39.376499737865885,37.55663423750875,34.402742746031095,33.148744645767415,32.19810420302939,28.687356787158055,29.20563261707996,27.361002738330722,30.94952333999012,28.462071557041043,30.48143857397103,32.630173924639635,31.865188125495273,32.94434132004303,34.53742483566591,34.66443358696815,35.438174444517024,38.53825731109558,37.39569371972242,41.786494187667046,42.17712403660879,40.10203980943202,41.51406716183483,42.8720039290435,39.92982653308983,36.79984428274343,37.178978601938645,35.99494283590572,39.418512279067905,40.28458254740865,41.134434663563255,41.5323009651456,40.03535693598621,44.92188769682037,45.176579439027016,45.683954702157294,44.66243794822795,40.23617970143533,44.68289520881585,47.24469605398431,44.860710810166744,48.28541656829407,47.41359605067703,51.758264796832606,49.78818701610192,50.728468372965025,50.89911580303116,47.641915079660336,46.30191617674715,43.632908200130245,43.50981888177915,43.08085022612381,38.25191740470867,38.66527628541357,35.165864401775906,33.73927381566841,34.87783251311424,32.8862148358095,29.84821853771862,29.893707194215207,31.163666460492095,26.979727612859953,24.397709028952658,27.15441443363874,27.580799363372574,21.746241840652846,22.064328934364365,23.827013953932365,20.693691215477077,17.521058109514186,20.649034257828223,22.130174413353817,25.652955533263135,28.220912407365788,28.841371955723414,30.895127422450216,36.25745210427675,38.328518975838605,41.229467464433434,41.77672018890797,41.83025157178139,44.804114222562994,43.10300974980513,47.411840584213586,45.84507886955427,40.33374233990254,43.545933972829765,46.82042070269491,42.61273119494624,41.171030797521105,45.122385032264006,44.927744646819534,40.65972531201871,40.976524917497265,36.853612911325136,39.522272616804365,41.88837174238794,39.69263851851466,41.91964926539055,42.62184299636796,40.79293109282864,37.88619207717704,37.60728311590961,37.85514636340001,33.93602285982861,32.08246464676613,32.48839917619211,30.03773698250598,27.383474525733728,31.125653809081292,30.24067944196023,25.33845795951642,27.260586392887134,30.992601531470584,31.054320147559338,34.73433973562795,35.07305219383904,38.81913717878786,36.25352462245904,31.79866099107349,36.39876714454584,37.200029193511874,33.80050479487889,34.15575389010564,39.659805021336176,37.556665228641926,33.276473968511304,37.02301754532788,40.788461524072325,38.24775547668528,34.80500526439285,30.120353547188408,33.34015607667331,29.262463906683053,28.426129783761223,23.79400223701545,24.134181840164878,19.728451571238313,19.920874460028536,23.044773960223363,26.416471622091457,28.086737666762122,28.98033643362335,26.425852710509908,29.97437987082098,26.554351784157035,23.909962224775303,27.669402390095975,28.14877163885701,27.515838909740587,23.999988030212425,22.52395746659524,23.215488215746703,21.538514028424114,17.376201368751442,19.353836074490335,19.457969846426,20.427712976624136,21.611291874596454,21.505614436359526],[14.865087620379477,16.361728775898698,20.21206862167837,17.338517068421805,22.910112634927483,20.064756978102395,22.303976843937104,24.94916809352765,22.68373419427894,24.9477968845055,26.22607416518311,28.487521772271457,30.275555300807827,27.649623290911162,32.04831244004008,34.31204730475787,33.78755323881183,37.78933084380847,40.00527185922483,43.14138012041536,46.15217145500386,50.19820708390185,50.82387823469083,50.028353296686454,47.655370660522514,43.37225304188439,41.75446207354089,37.86157775225938,38.375179928115884,37.79413452405737,39.40274758638487,39.34460263091148,41.89402400307032,45.855242203375894,44.505010821993615,43.21949053160331,42.633410575990496,43.83746059942065,43.83182037656263,49.62483842814596,46.486361731935446,47.33719577493977,51.83622457267706,52.34729753780183,52.98175405669978,51.887393661608876,56.05664628808095,56.4697402160753,52.35796716662208,56.184841665964655,58.94480484642049,57.87081202024317,60.134808419822576,54.855439615636314,58.17756998396335,61.422148711457154,57.50391005860598,56.017906612091906,60.875099923230174,61.27120896683176,56.70287570022373,57.09501434101786,54.68499364077547,56.167535941666976,54.52087540589194,50.819970352576945,47.184656371244635,43.93172456059914,40.832378783827494,37.892451713383394,36.88632856380416,38.121963344862785,40.473559635616645,44.56668519826838,44.13760287241463,50.15545566759212,50.07695860800301,52.498049541928786,52.22433901674745,53.67644457357395,52.01238070686648,52.1078452362985,49.4781279721719,50.600292640843975,47.684794480604474,46.184654417779065,47.936052256126196,48.018792466159304,47.39942029453098,49.51007104863713,46.63934538181919,48.58516057074703,44.8271418703294,42.661393530234434,38.154905760962706,37.29559984166755,33.268264716688755,36.57486958072728,34.14049977408106,34.976775822308994,38.37018695319343,37.83946512207995,40.63152079865612,39.097198102536545,42.928209970805845,38.258285755174015,40.499232086107426,40.172386213670386,35.91128127486206,35.15093048096529,30.86498903208207,31.762339614914225,27.96279127033812,29.4114785343516,29.182530699411227,29.56946912912108,32.69783297038113,33.45165126766598,37.10421028813178,34.98903911792801,31.80407251825116,28.97057165152901,27.243540665115052,25.775432846939193,23.940485015196693,27.19961086835914,26.09808687827192,30.19009345370652,32.686749306841136,37.23243793138855,37.03660648265777,41.1509242304668,42.35524508479958,42.81728565909603,39.40093407009136,35.39516685905463,33.29503322936339,32.46983722951416,30.976230536329165,33.44223830922754,34.64334420573963,39.299114364867876,38.56254681111716,36.69829164017809,39.80702515196406,37.940590313787155,34.896297650884975,33.781196282064144,33.207631243904125,29.665608982410447,30.638296116840227,28.47968676507467,32.32040239567726,29.59419485698856,31.182906871221032,33.5071540065615,32.60023070847112,34.12333966159866,35.33796122972943,35.999509646671896,36.629271467541365,39.30583841766948,38.22157720644353,42.62345656724387,43.24892020440752,41.08545655298565,42.894521138374714,44.20422636834165,41.51989974550577,38.18634263529439,38.73147828214436,37.2591470175482,40.71358376829284,41.56592720494931,42.27567203159162,42.76549948204417,40.90377230171402,45.97717619828671,46.22072917621936,47.00006985799364,45.989750006182156,41.845512983265984,46.41573631288015,48.97066646052812,46.408619707702606,49.48759359822346,48.291562858578104,52.747259524494766,50.62291624519247,51.909101171843645,52.273560043932505,49.07485579133705,48.02308252158996,45.53362292781406,45.63881129711861,45.46737321343622,40.66172333643427,41.3160970108961,38.00713615685532,36.51087153232655,37.97177642325538,35.89837077136017,32.72446795670871,33.06311520315916,34.48194508700483,30.18700874984709,27.64051402962649,30.631493712758303,31.04978257077164,25.190333280123113,25.66828836477473,27.504879767795707,24.25041483714262,21.181446411225192,24.404548841102613,25.825432701453252,29.413912642882945,31.845689510731482,32.49502768015197,34.622631713327195,39.96651532266367,42.07921686343965,44.95465339255015,45.44305305366672,45.40800224477702,48.312065721175195,46.45726904223728,50.783465899234976,49.328000256327236,43.71035605823767,46.79666728061882,50.13145465814632,45.93982687801136,44.35068070710484,48.19430234517364,48.09319690874867,43.806974908150906,43.831502231468164,39.90811999266012,42.399949214722966,44.91417095779528,42.856498213557934,44.94950783710379,45.76887697468967,43.691104927463634,40.805586983864146,40.805551034581775,40.889470208279455,36.83941907264663,35.27149076736097,35.66236852778973,33.0964882841826,30.640913428909638,34.52705683803146,33.5357190041321,28.63198602399214,30.79879193187159,34.54869364468088,34.67421747737408,38.29495458263818,38.5145949880356,42.334733576782256,39.89732150299387,35.362836276090896,39.88418849048846,40.80782889448598,37.416890811620796,37.59070759635673,43.175118030950834,41.127912156929106,36.7278352090443,40.34186899798303,44.22083683550534,41.683560286237764,38.15094809357484,33.41632260440526,36.57237527662363,32.40904381398567,31.853482728873722,27.125903508195716,27.57248586669254,23.11558309078784,23.08589793608247,26.113931825892944,29.42054260370467,31.017339632292398,32.11358154946792,29.241560597045154,32.69609977749768,28.951376259613752,26.661667115167546,30.312538184579914,31.012857585740996,29.96534352078336,26.493852825665506,25.489363475000157,25.965910482001963,23.755521896410265,20.141253941680258,22.45252858072392,22.365917186714157,23.338401450198873,24.60103430594294,24.532125388204705],[17.911406287826786,19.316608471235465,22.86479223140362,19.507356264924763,24.698379319298102,21.41392969134063,23.049990379366083,25.479781497322897,22.53824482136716,24.36063802047305,25.19264845624175,27.663985313682602,29.558562883742074,26.49275305500965,30.65198794918536,33.19515507913826,32.782912839120556,36.51363875905639,38.631262258759925,42.01300757823807,44.86236725015215,49.09167103436015,49.57050752733515,48.89204848219458,46.71716943256365,42.31965120932964,40.97125361170455,37.076714348230524,37.4820454326199,37.02528240883706,37.997779099433906,38.416259773499206,40.71566564365517,44.53533010941506,43.46302328256951,42.17174426616391,41.98077260220113,43.16842574257633,43.37792686005504,49.38811471008698,46.130325477347746,46.578536935833434,51.117986099425785,51.75903147542651,52.37758832877198,51.55682574450434,55.69811697531463,56.007427787995475,52.14462691146646,56.170963126857565,58.78588434337379,57.829977781411536,59.88615027017338,54.59434094710664,57.79298173706409,60.880991268205655,56.83386334106806,55.25222707517658,60.04714674678609,60.42393685115988,55.67023617576066,55.80204179395597,53.264739557499496,54.6074552592733,53.184394018463195,49.584759436736114,45.624652854889476,42.39866418339104,39.08511952067166,36.049887715607284,34.9149259006368,35.818095873737974,38.32978971139046,42.539030774655984,42.34014435200687,48.2847809312738,48.577043520560856,50.98490708904659,50.99359682480823,52.65152411543266,51.2980068154716,51.674310525136484,49.26117359014473,50.62536153340322,47.67102401814502,45.89069881714238,47.2807308999883,47.327077401934595,46.32819960533535,48.252453552734764,45.13606206094304,46.76117876965665,43.01888626615858,41.00173448071719,36.62087751336804,35.485924323469874,31.587635830212985,35.36017017811102,33.24261501273236,34.43579938695577,37.8448021070074,37.922950470580126,40.55381896032576,39.57573262169003,43.65327939522087,39.22816410317124,41.843896902937146,41.694236795476726,37.593621486375866,36.526666362138606,32.2354858672149,32.62061676841697,28.522351862695423,29.768500916329582,28.90642964749684,29.26101305437779,32.0109684940636,32.786381637866526,35.898055147525056,33.75552272813455,30.530647432999125,27.89618294293257,26.53505153212464,25.445309069092268,24.026154510438058,27.83497875950564,27.245734817628882,31.331754807743604,34.12617433237647,38.47301049452077,38.676095590377926,42.840015201076326,43.81004179369003,44.03977029386393,40.58598799446386,36.38137235712342,34.68973452731619,33.32763826259549,31.498020279063677,33.67674777873751,34.50961891150618,39.00339988980397,38.08351875712422,36.464115555611514,39.52328567393561,37.536316973620686,34.65219512099441,33.60768552824147,33.396801974463834,29.82832228767238,31.220098211116525,28.734928578907937,32.77245255563986,29.85308581048466,30.955051024558692,33.42544152236528,32.40107136147044,34.37564159158296,35.212483270567596,36.45825897069033,37.02526412880303,39.23254327216022,38.33840640592997,42.67244392633534,43.634966969832895,41.50541020239492,43.70697802083532,45.064502189215894,42.67287727423754,39.129668263157235,39.75516511351607,37.93878000163004,41.302979232222,42.057817973210206,42.55669326261271,43.0788943609068,40.83339671498443,46.043031194874445,46.3345989644367,47.388224819145755,46.4788814593946,42.61786142882133,47.3459209974402,49.9251130638817,47.21673641248473,49.91313729480364,48.37766212158089,52.96585708680914,50.800451801812976,52.41655264841334,53.02914923863572,49.844458722773375,49.13635470354864,46.83926200950606,47.16566095528226,47.28868537358541,42.5302124459081,43.384240508009015,40.314795895892075,38.64861208616319,40.46633384077996,38.23628740621717,34.957482146086704,35.709192801654154,37.235001994598406,32.79613434261728,30.443133326772983,33.67085495546101,33.983260956896544,28.147678980964432,28.906229848401537,30.81642410084883,27.36009437581077,24.507216774751242,27.977155751303215,29.34250994223768,32.98586131378795,35.38673097875957,35.89812375120179,38.090464151560035,43.40312032713964,45.63117721541677,48.40567039811627,48.701815615248975,48.515623657711664,51.28572572659539,49.19605244082376,53.56826609013059,52.31724698552408,46.563474898178974,49.458569356730024,52.93302895225935,48.82251028750282,47.02008147959142,50.717367005908834,50.850223913907996,46.581920907561965,46.195586509668885,42.46507478947943,44.626041817493395,47.285220973778486,45.35665122353754,47.23813812388945,48.18033467009981,45.789949331973894,42.96331685831855,43.30619079665104,43.16556900451111,38.973504579493806,37.78307031934592,38.1570863467069,35.464706373964916,33.2725261196663,37.35307740371696,36.26004667491046,31.386875438382937,33.8728202173217,37.66140584215772,37.851378709627646,41.348064040435865,41.37238162047574,45.306957485882485,43.10470453474961,38.46029728430606,42.859118502628526,44.0172128127382,40.67704744331832,40.605935324984124,46.309539315309,44.45312715537487,39.91393638884234,43.32009423643909,47.385415005774,44.97528452633224,41.3540177512536,36.59395074311901,39.839322319481916,35.6750949431473,35.34349571999204,30.469047347058602,30.80803483877229,26.22886016851304,26.209077086534826,29.062815442388462,32.37249336075865,33.76027656133938,34.9098097408337,31.62545331768155,34.868113217850656,30.789122745838203,28.828247390308494,32.234515195104294,33.15490909629983,31.62713916548943,28.282056123767532,27.809476547384428,28.020459212469955,25.258740554799314,22.320545593786512,24.97225835587955,24.730544916216704,25.745795599546145,27.12946238156368,27.179986841917106],[21.289690292156823,22.242068943969866,25.318278347159023,21.211593654286897,26.036789351141582,23.171514072710888,24.222664612196926,26.86160999909247,23.505745598405504,24.534578136189452,25.246314321219952,28.202429248047054,29.59284703923474,25.99615987599109,30.126682965220386,32.86462773916568,32.11219786852447,35.50890472211763,37.13956825914616,40.8275859995363,43.35641640428585,47.70033813806592,47.88219777262159,47.092908945432946,45.222381453657,40.785597458758915,39.82669299563842,36.102940531851736,36.76358303770142,36.75340739438076,37.364464016109885,38.40084665050602,40.68660870096306,44.19281187401221,43.17422870953258,41.59386163406465,41.84864301879839,42.57890140258227,42.76395559354103,48.923570356510105,45.27913644104725,45.507020556999954,50.11139686025,50.63956851808499,51.02446871419748,50.33823299720488,54.40175975926707,54.84661656437545,51.29830489181247,55.33568936349525,58.02302713860903,57.31594113736008,59.286840416551655,54.02175116723251,57.3656929474595,60.158648856278845,55.9049388700176,54.50779505846624,59.2510225907579,59.339787982152906,54.492552206116166,54.59817141270327,52.12142284962485,53.10830929284726,51.74718075719935,48.380645124595006,44.06936531391201,41.10240365298166,37.42618644246676,34.605604300300094,33.144295247023905,33.77217346378441,36.65921693767298,40.77019163558857,41.04680034214273,46.969808405497375,47.47762242965288,50.1069055908572,50.24941011971454,51.92162343579808,50.95335869489584,51.363920275210184,49.36293473604425,50.707959395424794,47.5389713146543,45.7362180316626,46.74480089758313,47.09894618740319,45.61844885474263,47.72533615820993,44.33967255557044,45.76903149854395,42.17971497054633,40.49219663916734,36.192324412014685,35.0203226418028,31.18550048638126,35.477041716037895,33.712605265496045,35.535832786688246,38.494316491185494,39.11447822772843,41.26099311194628,40.72505287968397,44.668073817538456,40.4455400767722,43.382364263355576,43.111888363718464,39.165601984654,38.117578578510624,33.76062073884109,33.5587406748525,29.361256068685037,30.038914228406302,28.69193658376291,28.618246301053084,31.06808177945154,31.485378329273907,34.22349598046306,32.45382789877296,29.08082440859849,26.809011340871386,25.368796980329513,24.85206587384687,24.094455226573043,28.07059043176616,28.3568858480486,32.19189970982867,35.24633787530308,39.473438789313455,39.71792666841638,44.0221317400711,44.57918622759276,44.89712631577794,41.118911472008676,36.796473373997195,35.197239726787785,33.27841099388443,31.014071719529518,33.126339013473746,33.28961908952974,37.6513205204825,36.87567603456412,35.622683399248075,38.76442683390535,37.00697064793393,34.239834931246094,33.6069975588037,33.85907347650943,30.565146754420805,32.526603758320576,30.188501830615433,34.57049173596714,31.955339832686388,32.51004941432372,34.765052163832,33.335416972669954,35.5331517483342,35.80953398981863,37.29792819743919,37.36436760844207,39.16416409660745,38.00568740574423,42.38013277999575,43.312171423437015,40.93733374771924,43.50203880712752,44.641090919471715,42.53903659218061,38.88025565771233,39.78379563605912,37.81603308524167,41.33584603780864,42.256173782685586,42.79738230429107,43.62046485504584,41.16863870711945,46.56850363647858,46.569959997111894,47.8802937935521,46.71308833560032,43.30356548783,47.91870012887162,50.344063860800546,47.42586868066302,49.7601103646044,47.9622785586051,52.507943862529835,50.012012674826615,51.98053830600982,52.70134351929497,49.71085565620873,49.24566754151243,47.18005172118216,47.78022278793975,48.157770593131936,43.483863777173454,44.702879658922896,41.87721029276215,40.366557465452104,42.558388402314066,40.49008354239947,36.98700109335414,37.85897300060772,39.75266588493095,35.34673997753598,32.68655984682426,36.2656545808749,36.962498194401306,30.98839139000685,31.755844150838833,33.982092025393854,30.644078762179998,27.59355479846132,31.150093115496347,32.19506288780302,36.19128357654703,37.962315137689785,38.60590017357269,41.073567075611734,46.27818368981957,48.729755854556515,51.3496438172001,51.68623125596532,51.29538829804042,54.00932578746118,51.76707588072015,56.02023403516381,54.812431274246784,48.92463251232541,51.67031261222198,55.05041603072089,50.9019755093955,48.955472412583156,52.488994845474835,52.57332697471486,48.280856269344206,47.60076849294368,44.240697789486156,46.39470619756615,49.26979569804,47.691671439313865,49.57124671018152,50.85472151089056,48.22987379247193,45.29476488126674,46.046950918991534,45.99730347964425,41.59521327911066,40.58267020772605,41.263706958179895,38.60457727787209,36.36092944647825,40.628460514583224,39.72355252069602,34.87237267154615,37.29971134574272,41.15750464255046,41.140756247119604,44.54060462286284,44.32603306630066,48.221427887586884,46.17272715847463,41.30586968407028,45.51992149854438,46.736845923138524,43.37006037622288,42.95866648722387,48.721439616350004,46.8740207738255,42.127189837555086,45.31471540694231,49.49410368177757,47.056429878447105,43.294853096705005,38.49586985634085,41.59695724329282,37.363104604008456,37.51954257674652,32.51383534182354,33.07679790849268,28.575714114637652,28.098764231206324,30.767907849010022,33.88615587438436,35.20121750832346,36.73000748769334,33.22684282545234,36.44699544914897,32.16342553508785,30.799619200537126,34.364776948457944,35.664481893986824,34.01244222799914,30.453443870863524,30.483782318223806,30.915245624417366,27.632001901113473,24.995620548890045,28.15487801568615,28.156425559889886,29.215892277105596,30.56433936989616,30.610703237342687],[21.909883351606148,22.891056042082568,25.670664431866026,21.638171106940124,25.88158003292005,22.09053929541997,22.59535929303044,24.63457805072291,20.75606587098413,21.649485768688823,21.78994925031171,24.621634193091218,26.4429585956112,22.764107448210563,26.47808726871174,29.373996491144805,29.088142771364925,32.34630133019398,34.32313110974572,37.98693335798714,40.60068917026674,45.04226540405567,45.35251110719019,44.8999229360738,42.983500417204304,38.470315923161614,37.494795514010974,33.642254715921304,33.85522459499177,33.61553441306391,33.67135534094894,34.825726129155484,36.79526543260487,40.313067828214194,39.597231459199755,38.264003132042504,38.67497182826644,39.78522507827877,40.32206975205104,46.583477930950195,43.222022787091966,43.046645749544204,47.58886474681258,48.449703150157234,49.09392769247264,48.71450417431621,52.78557642364358,52.87199764639012,49.396912954951425,53.71983795217063,56.0468778547431,55.25596009471821,56.96975028212668,51.70241021508196,54.67798972192853,57.51474884512556,53.31892668647612,51.59859518862986,56.27017144656128,56.631114351648705,51.64614041631851,51.41177353225892,48.72233153445682,49.878141527557496,48.76672062782731,45.32138066681174,40.96900446000877,37.7961741769511,34.25001689487793,31.11256197368105,29.837825785829878,30.329645897787447,32.99077595962953,37.309560946958875,37.39755404126205,43.21210866496786,43.96800079986841,46.368233746875525,46.74216743763547,48.657883307269216,47.77360750575496,48.54565778676345,46.51129716925496,48.214901133199334,45.22825030702607,43.04239188248661,43.86547636858692,43.88798778127577,42.32959767979819,44.025452377008364,40.586946141157476,41.798418886227815,38.133608267186005,36.38632184361854,32.21069162620492,30.785192509141922,27.092549631550117,31.524372458870747,29.952766413105675,31.856276290765244,34.99094503949134,36.05369690055045,38.24678887247905,38.18614295887277,42.51915918227523,38.58366365869412,41.80381541558523,41.92001115155619,38.18480487790735,36.64864896124624,32.44145308734179,31.916515922802127,27.472179237008838,28.317574100966237,26.460884807613358,26.794918811468644,28.85777556179015,29.73832937969781,31.950039223165316,29.7259139144032,26.544069521069098,24.25676855277707,23.603415545250993,23.104237597696603,22.396986609219415,26.943695992281985,27.21675929221906,31.134756222864645,34.35530719652897,38.25493604624861,39.15371262011794,43.32195706209589,43.87496303849512,43.68303062734894,40.24752374761243,35.79718214855321,34.89350415371702,32.69582847840682,30.43223451293301,32.009193820766946,32.37269041243265,36.493168782253264,35.198805530485956,33.94732348937062,36.8326494666225,34.657980944216135,32.09249893955141,31.17895247794818,31.570318803591274,28.112891682496883,30.21631117212213,27.42385010228732,31.780848683997196,28.933492897574418,29.07899158326543,31.517997375060652,30.176298962017643,32.78293717535588,32.90741808506691,35.02233191290045,35.42569349894506,36.8309691795984,36.28610732303991,40.414534922385364,41.94490335708158,39.98545586618711,42.774268490045856,44.28233708956336,42.41039855568003,38.57003078926785,39.2400706240411,36.85837393495879,39.954806937304966,40.51342066069712,40.66054984833274,41.25114704657082,38.4434761418153,43.8091175908521,44.12184663781496,45.60541525572037,44.855931395763506,41.529215595040455,46.44115409495422,49.03326426492409,46.12755729424398,48.165029952775804,46.108689185764966,50.8706852282976,48.74448787061513,50.840254872585945,51.87897398571811,48.70903182804179,48.59785408671656,46.64760679060943,47.334747619569235,47.97993000958968,43.37738484187982,44.55459400082483,41.98053000887151,40.0251750030334,42.49751016361564,40.052565217373605,36.609879199878385,38.111033075669035,39.86980896036347,35.26167177820274,33.26272472608126,36.926706294409236,37.15547247598402,31.41894085328962,32.69843270495973,34.841404161082615,31.12882916041845,28.64044646983044,32.627158876972025,33.75183125747207,37.594852960316636,39.784890107688135,39.92764290203824,42.307522418715784,47.47397375221222,50.06967113517983,52.49829018356903,52.363137565091904,51.78666788356609,54.24701398694757,51.677609951575214,56.068290753274525,55.24583207777529,49.24379947060276,51.71223083821648,55.42673291817382,51.5240833305535,49.296589030886906,52.660609026593974,53.29036427450995,49.11169747115994,47.902007743084276,44.57717063310405,46.07096472709938,48.98384049207995,47.37811023130218,48.86889483556841,50.139126777405096,47.1668019124543,44.429347599860975,45.49611433976187,45.045889614370246,40.58211756070155,40.09278292314298,40.61410364853231,37.79830251962333,36.00819431242267,40.46808148857338,39.38478307578033,34.654550971241704,37.57555157884843,41.44905654465922,41.59603713561107,44.76103842995986,44.29923163849967,48.38665882601338,46.73538325651747,41.82758147718074,45.88007308449353,47.525411562414085,44.32335931595675,43.68537141401272,49.59106259476639,48.20149344476546,43.38964025453892,46.30004149798218,50.74629057306373,48.693429054363044,44.92143318531621,40.17681733673327,43.70752518829957,39.657711345905874,39.72203028986853,34.55335356839123,34.53514212205866,29.782384865902124,29.898625534746788,32.31739710010407,35.636367783070085,36.511423576591355,37.64580153875459,33.62868846554322,36.384990469985496,31.814734950436943,30.51760063957768,33.45641454421849,34.83341029655999,32.573957204434976,29.42300629824278,29.969007289879507,29.901212118002086,26.1834903619775,24.46996492384451,27.798122688693184,27.554354140657352,28.69034118091389,30.24100307936016,30.56630376102719],[26.07835407257524,27.161204815761042,30.17529086460329,25.979677064406438,30.486189898530057,27.303209975149144,27.88227400047079,30.16618327993143,26.290581010105424,26.842928261102973,26.937424307786674,29.964430072636183,31.51828982921127,27.518746472766324,31.118141722655512,34.15398119946975,33.600050503311074,36.51453779671426,37.93469164358394,41.9040818026532,44.135595817376064,48.6682429423699,48.61341048818641,47.97038004288907,46.43547920649828,41.927652738508904,41.37879724102295,37.754481226382495,38.26607948997978,38.408782326546735,38.1196903895886,39.76785278150066,41.63189026629964,44.89551250922629,44.30519531213713,42.77035317567067,43.53412107177369,44.24903893862781,44.701272419648994,51.03029815687601,47.278763971890896,46.99108530314087,51.58275510757492,52.254855775384335,52.58462826540593,52.24745831092671,56.21494216982481,56.556313835457864,53.379427694868596,57.59489724468146,60.10045061927506,59.55288153075622,61.25561351584627,56.03114984902623,59.1897083747965,61.75408882608107,57.372541830789324,55.87228528989774,60.48100891185244,60.53529576324109,55.487877528213836,55.22873648487424,52.599275668609955,53.355468276223775,52.33855192768692,49.17532635288788,44.445605103722436,41.590291499806334,37.65140330713553,34.770910733963035,33.12225690900608,33.14161040883075,36.263225560973815,40.469507443115326,41.128991032750456,46.82801971228678,47.90300642125936,50.464672668147735,51.02164322573225,52.96421733507977,52.419401858664145,53.19265497508437,51.469760913301016,53.09545578481642,49.93052902427083,47.81737848235453,48.35895583404965,48.64466098800252,46.69057880541654,48.48076265798851,44.801966187651615,45.70846048548882,42.19978962023973,40.754912690562044,36.757197341960136,35.16987421454638,31.672561224462218,36.476219907864056,35.171310067684466,37.293513698045174,40.31059630810053,41.599872129444556,43.598741612039916,43.669570934123186,47.85311270430549,43.923012064913465,47.15067929151595,47.07112830692244,43.29538636596276,41.975917092224584,37.69379580604396,37.08384165274652,32.70254543322043,33.19390504085457,31.211283164366872,31.091101567373297,32.99012058964016,33.37825523024287,35.29993870250301,33.59401370234036,30.26966712043773,28.395591818880728,27.468257912714805,27.46282597883889,27.197933005609404,31.55882899683157,32.260443439399296,36.02101411203238,39.2641471896562,43.257174433914784,43.848036482230704,48.14340580262438,48.503348946483484,48.604173772799875,44.84429757763808,40.40608808927534,39.186206288664835,36.81529150158061,34.25852843094825,36.041154801554384,35.72303093821495,39.78392935857474,38.85223120488295,37.95252664581425,40.975397168215096,39.12738977126284,36.62190588719117,36.082504885041196,36.71498717223008,33.45339587467757,35.72996651248359,33.052609304622344,37.44734337947399,34.54915631762202,34.64945503467488,37.10362789336531,35.664568753042076,38.31547823343472,38.225869494192416,40.334141193805635,40.37659325898753,41.627698843043824,40.705059610642316,44.9242172411753,46.19929570560395,43.86972971147895,46.81096398319326,47.94377965784216,46.160166781757226,42.36441190220503,43.35793587219278,41.09964972067223,44.480556135388326,45.28730348400847,45.58857409493221,46.41331068761621,43.569309303202886,49.023644213416425,49.11081687399943,50.7014263734488,49.67604598890671,46.59235728811918,51.316580339327324,53.74271963413392,50.70945595180576,52.61132436823003,50.45722524636295,55.087799923036684,52.54044615103331,54.867698372439285,55.834785895575486,52.91043287768996,52.790587531106745,50.93263753140754,51.73011904301548,52.35160708718245,47.75587835018712,49.118153672559636,46.48011389794736,44.84393342290044,47.24257872340156,45.04135832659581,41.52515274075708,42.66555120257002,44.55723526245167,40.06885368839312,37.60524621037245,41.241515114052184,41.773700127609594,35.880845749412906,36.7843750141059,38.94434328583138,35.466106107384675,32.59418611186091,36.188972506469284,37.30901857305081,41.22067551003845,43.109050401466575,43.71485398899695,46.145804439260395,51.36215173114449,53.7830913777412,56.41848707038359,56.65924230985434,56.23731857110924,58.87427989995752,56.506418515470834,60.8051425007001,59.73126553571707,53.79099398461497,56.41856216967964,59.89554299719468,55.80967931038714,53.74640282232865,57.17609516658415,57.41111027883648,53.14294509585756,52.20830282333413,48.98850775992907,50.890526878738804,53.83991306604459,52.31346629996933,54.01077021253211,55.30452053376375,52.48043353617956,49.645407432303415,50.57447200641515,50.2983611098667,45.87051507815106,45.129424191027134,45.67833307300345,42.91323354915346,40.92241154421172,45.236542405169835,44.16188246875655,39.345861903612196,42.01608972140593,45.85283030229554,45.975664853747716,49.332236287957066,49.06941528780485,53.046235636797824,51.100546991010276,46.24407255454428,50.41843542647513,51.75476030683103,48.42182314312764,47.9385236891446,53.74407095372404,51.978500393679234,47.19743941608271,50.29093154294773,54.54283775754451,52.14653400788727,48.358358654384574,43.5596655540375,46.63890122672892,42.388102167922156,42.637930256608776,37.627744689387754,38.18205253043112,33.648094044503374,33.179779363222174,35.77920387940242,38.85829871927154,40.08943321678149,41.652565408248726,37.948718249942324,40.99694453514261,36.534904579195015,35.36479862990525,38.6609923961505,40.03499872478961,38.01174440260843,34.68323137355215,35.002899256144,35.13455672403321,31.611310975092156,29.49067828885743,32.65902287385208,32.3972953910272,33.41629348208749,34.79675826240904,34.83231371721378],[22.548849548457376,24.129588970670454,27.725941725993465,24.285535011086896,29.349055586870943,25.929386079025747,27.24599094727963,29.45472630714301,26.069687107114998,27.52612841686844,27.87141271961198,30.429552313908932,32.4990357838634,29.04087673977263,32.834399429926734,35.65978364918944,35.382021877727745,38.75185668978817,40.66485349510673,44.32929438922941,46.92740337612862,51.338558481846206,51.58989456236672,50.97905432408452,49.09724239633615,44.6162722585861,43.62219327918033,39.79765683182993,40.13599585098504,39.825052164074314,40.06588022214808,40.995518532178714,42.9502001991985,46.60444834122108,45.88979162112109,44.622442504712254,44.84833787616276,46.0036845759212,46.401392912698,52.58134033222836,49.16790864389414,49.23344549229837,53.79891006753952,54.51717411698607,55.04401630187578,54.46758352506633,58.54393305569695,58.83280406917073,55.26161255891274,59.40961660428788,61.942762962851766,61.13355376564263,63.0076999640006,57.72849368477724,60.827831770823515,63.73003126139887,59.54876641924997,57.90957149500482,62.616610876878454,62.933093876960555,58.00210468115472,57.853579023593056,55.188366186321915,56.31895678898502,55.165788547491495,51.73428844282328,47.38364666522991,44.25355514867142,40.66457859359727,37.57551808862522,36.24440643899893,36.63242873802706,39.39694634603157,43.71259505643216,43.863490926657384,49.65497496353069,50.436467322112556,52.8074369272492,53.16580531779933,55.05100222597539,54.04168245250374,54.69804429923863,52.5019597512405,54.0763387634264,51.091286843583205,49.08177896409701,50.10536487506391,50.11616632862988,48.71795838397758,50.397023297308536,47.01287264020121,48.19547093821673,44.4941346937814,42.66126000345938,38.50570741630654,36.98437082128757,33.3413329055606,37.581469382352935,35.819273364065495,37.21375069556969,40.762639251999175,41.358668136697965,43.92167116819167,43.39156002881131,47.66705450354473,43.42180836176877,46.23452331945364,46.19644680714747,42.181007040683276,40.954217004285276,36.69014739316587,36.79674316510118,32.53978379661068,33.613843365726154,32.2557182318903,32.5031999135351,34.86895730747303,35.54276189809957,38.06354609451553,36.02451564205633,32.76601394790977,30.442833131398036,29.37666236968693,28.73130360139642,27.734980762415717,31.846749515100516,31.62650115085218,35.66659739968378,38.606640248565746,42.8377412158689,43.2118180125008,47.40592015683609,48.22716927038113,48.36806344532281,44.857183862704936,40.554080910619106,39.032602263241046,37.322789132930254,35.20722181996102,37.23389565897425,37.59562927095566,41.92118835141009,40.963654683114065,39.64242627948216,42.673455273274286,40.65596436268461,37.94084584630669,37.00528316679639,37.098623643666464,33.53356729644767,35.171537997753184,32.38820054712905,36.425456191638254,33.166286199737264,33.972877897295376,36.683121063571136,35.684362593004,38.031803175740244,38.606583962513476,40.32711355359807,40.84832334772914,42.66033658129121,41.86921800415927,46.14325878104311,47.30303507499623,45.113376576843514,47.60944337180429,48.88309782654733,46.70046197097419,43.05902767235965,43.823301275455485,41.830513707758946,45.18109701796749,45.90395780399983,46.25831844333287,46.80496588831391,44.25480901598041,49.535991187685,49.88395473837731,51.15231838824497,50.308721559198055,46.680884948200834,51.481018100235666,54.04630490044538,51.23008694669259,53.627893991007205,51.82382138270762,56.47139668204092,54.17836983174593,56.08807930209185,56.847712303721494,53.74223382236888,53.25016443739933,51.09352879887721,51.56535420380241,51.82746767601898,47.1008109931659,48.074902372211945,45.08616906010622,43.40064379971405,45.30212916218841,43.019788889944934,39.73862942696291,40.568363729560275,42.0795707324439,37.6150434436741,35.30948034672853,38.51752409145691,38.7382207609885,32.96009392891643,33.69188531784328,35.492419919726125,32.00562637675856,29.215863796564538,32.52667808553404,33.995759349210815,37.514118689721414,39.995511808668184,40.63205041993566,42.75584722576865,48.10158140822313,50.184493359635155,53.07929095452799,53.43221459360699,53.32061829867772,56.10064980391922,54.0149813392002,58.412511915787306,57.16907667284733,51.42731649235773,54.31167318565486,57.79544371011081,53.67693697958049,51.86734415431847,55.538131544261226,55.65691345673042,51.37598664518322,50.940543467234015,47.2894686044548,49.395092670421114,52.09091952715043,50.16530862449699,51.97014650336705,52.86155159641368,50.40482513726876,47.64754583324913,48.01175670770745,47.72507766773368,43.565016236714946,42.485004125940904,42.697972905300325,39.932047625216384,37.90298063438387,41.9228687371036,40.653179214019595,35.79810802110789,38.400283668350625,42.12457599542209,42.46609373402185,46.00502147084506,46.109652832460796,50.07115292437302,47.81882257477934,43.25811687522135,47.69390872544192,48.821557546485884,45.47238495939185,45.46192693738089,51.14546199084766,49.213681943661555,44.70223414459273,48.138260493789616,52.165541379658755,49.66433486429253,46.04195270880573,41.26947469646257,44.34402323368974,40.100848603622886,39.83658371630511,35.04848728434238,35.56894616604541,31.047009810684646,30.867459619926162,33.753380182389954,36.97009255636386,38.435902860387515,39.71683888353342,36.40695888876539,39.62121302648646,35.4451688495882,33.607823178142816,36.89167989879958,37.81755729322745,36.06865040458608,32.88749765961218,32.523727704295794,32.50800612458593,29.668668738287096,27.019389798821457,29.554077078709764,29.034448589365876,29.955901601722818,31.311196194524477,31.241599414434145],[23.18266600460857,24.495255214294236,28.007075316231983,24.286336833483468,29.471872430149634,26.799222750474573,28.19826943257716,30.84082924630282,27.64438790687878,28.880079071742667,29.5559205612648,32.38189254803424,33.956244714485564,30.389289550883568,34.45196054831091,37.222999627936076,36.51986642094393,39.879334039076575,41.426411986953774,45.1756554544906,47.62788370379655,51.99117065632574,52.08200794761343,51.22175573558332,49.44961961020987,45.02345372087343,44.144946157928985,40.46532116290062,41.1694046077939,41.153819430502175,41.67978889586495,42.72224404546453,44.91697050776655,48.454646621489225,47.521811632622224,45.98227798228428,46.240368057564396,46.9847591385451,47.139908374045085,53.282593938132024,49.57703894531262,49.842972119151334,54.45795160307578,54.92219995217493,55.213947008832186,54.47787264229344,58.51496255170521,59.073724669658354,55.5543001871961,59.50975632154427,62.293738847242714,61.616410930844395,63.6318879666757,58.3717321109792,61.76201489867807,64.53958698950987,60.26396109541951,58.904754881874005,63.642215481704646,63.684557859212646,58.82993033037397,58.918740762623464,56.42959035984191,57.34491892273152,56.02551714862009,52.71404078184769,48.31227379928164,45.396895715982275,41.635661470612845,38.82898750587308,37.29495691772316,37.73711646832664,40.73624921511771,44.869069275020365,45.26436639341655,51.13743908668182,51.775732190450356,54.38319739359483,54.600362598823516,56.30755264093759,55.357303049983074,55.768526936875865,53.73774808041847,55.056730045920176,51.88395973039705,50.12765847454646,51.153507441762834,51.49648146280004,50.00407452355221,52.04542619752909,48.62332471580035,49.93100750266656,46.33239139584044,44.64566902046543,40.40890510308149,39.09123455578467,35.34242486637797,39.651382046782125,37.873965188442256,39.48268874772614,42.68808130361426,43.1849170260666,45.508673193781355,44.82780136686938,48.77578343659162,44.4362277807757,47.18676351567539,46.85149318598296,42.78375705360656,41.878237477658494,37.51538333055638,37.594542869967846,33.48067483966394,34.24412588178427,33.0466667554009,32.91528099078694,35.412146399770194,35.700268777815225,38.436930867773306,36.791188885947506,33.388941749560864,31.18425981140207,29.63612028642749,29.148787289320914,28.33809657723389,32.127714162724985,32.22128053280053,36.085808199503425,38.99968669165588,43.362484751786674,43.3481289485262,47.65686721036373,48.3237086963492,48.81230298556545,44.988787144187434,40.74783126847467,38.85182628975789,37.1382664496055,34.908942297914315,37.213353866171644,37.26118806002646,41.66405125753541,41.06781340424706,39.856399019314956,43.054521113873015,41.379289124173205,38.58465819679108,37.962989026712386,38.127184902070546,34.785016214669845,36.54852523516638,34.14781175630214,38.351752007397444,35.450115348701424,36.27615471906165,38.72556923290069,37.483549329629305,39.631558922822094,40.083872934133794,41.47379276893162,41.594353221805015,43.51271042960632,42.25164225256638,46.67477181729297,47.44397182088532,44.93400296272255,47.39273561491374,48.36734834255739,46.15092795028078,42.60585470790967,43.59271612307024,41.81315870575459,45.454628524565344,46.45673247121193,47.0765939398424,47.88192420691341,45.501119741747864,50.86629219551837,50.89554980295858,52.137617109409696,50.93196529437753,47.42354659831982,51.97694279239336,54.373369266055576,51.48603886393133,53.942399158852524,52.22540622844591,56.70703655916866,54.087071815779886,56.01728868820293,56.610471844280994,53.69052926823949,53.06094883571458,50.920939837171275,51.4322757082185,51.621278821736695,46.90587609814427,48.03646443645317,45.00600234641637,43.66160099306449,45.53778394273586,43.569495701577914,40.17158126692409,40.66571511941128,42.41255057874268,38.11286340760442,35.29201210219669,38.579597924494024,39.26737591228344,33.31669846601792,33.74266849457776,35.737684441417564,32.564499797823004,29.363258759759347,32.43889871484365,33.68879795482288,37.45142302974953,39.36415993147762,40.345305869274,42.64465162681177,47.93407546827917,50.04564948266198,52.95701868258171,53.6077299587343,53.50441144831646,56.40330835567465,54.451910142473714,58.69442671673854,57.23878034779837,51.524293499336224,54.500818597118254,57.727130581761045,53.45881939283069,51.764272121482826,55.45650970468417,55.22592019876621,50.8840173640709,50.65116339760253,47.14293633176305,49.63721513927867,52.39029758744305,50.64450152345608,52.687768720169245,53.74989928641568,51.41134861089811,48.48387639306195,48.84299385489854,48.864885334519585,44.652037806921726,43.32913165839162,43.80911171567822,41.17763495406016,38.835040557367805,42.818314568651715,41.78483840209455,36.88926999318404,39.128588102820494,42.86869523176268,42.98387233001948,46.59742272447295,46.72643782915419,50.53380744750859,48.12729587554844,43.49648790409397,47.92012389320213,48.81379876547583,45.36878026091371,45.3360111135261,50.93644302232001,48.747804263294114,44.204389178593594,47.69209381647312,51.592948414746196,48.867971688635016,45.210252811871875,40.420007594095566,43.169993491793456,38.82566979541216,38.81562062928486,34.100470323004096,35.04327413726256,30.744514757984565,30.04061598535171,32.967431952957064,35.96397272397432,37.644750618093404,39.291042744134515,36.22567529226062,39.68126638748616,35.63041383288579,34.00372593773287,37.7142479003183,38.75941804295892,37.3532797885374,33.83148423008124,33.38073632460191,33.795429526259895,30.99647063066134,27.93532560257536,30.596459157826214,30.394587545035208,31.295562335556713,32.50215464079981,32.27485049108342],[18.169464188404824,19.89695114235103,23.935119247560436,21.182673105043023,26.839718484444216,24.194290648841786,26.417022763077153,29.03914934217056,26.625093221422134,28.74669813748894,29.836497542415024,32.16514234307771,34.03769456010043,31.17326775617657,35.46675658849637,37.891711319831565,37.36244095089176,41.20629155855862,43.23215028501177,46.563467146544355,49.41429203178264,53.5601753994639,54.0143460454715,53.159357218468976,50.972294669033104,46.64526628657546,45.239840900972965,41.406343930984086,41.987946329175315,41.52968647721786,42.824136321493135,43.02630448118914,45.43207666499211,49.33319913875577,48.137178597208454,46.823635755858724,46.432803188182554,47.55338118908174,47.57003523980125,53.442655841335586,50.134722040031356,50.87879513036609,55.42216753476058,55.88657454464496,56.38922503871665,55.33815470126736,59.47139420454926,59.989943097221925,56.01629995175397,59.824264590584114,62.65509274574965,61.681904796468075,63.92412278728085,58.644782513999104,62.01175872443072,65.15340277509816,61.13936991753462,59.69736418076134,64.53325963147581,64.8295481223844,60.18369835797913,60.495385861386794,58.04890080598176,59.371275102368806,57.821449446692085,54.22704847889376,50.35027905886449,47.18614526426687,43.8680012166483,40.941350455326,39.76296456994531,40.70947302820118,43.29016484276685,47.436002725855374,47.26043844582796,53.23760719586834,53.40645346312254,55.85550037434306,55.74186120049263,57.28163297727434,55.78134364803322,55.95313811705321,53.427991336218206,54.58352069229119,51.60939576367285,50.07574569803481,51.67794899742124,51.80344234346163,50.98116024612913,53.02887776755575,50.003363626132916,51.73083317445751,47.983920718172065,45.91301021234712,41.492858673991066,40.42102317115702,36.49499233497069,40.06869750204099,37.77783311905431,38.64920205768332,42.1812219743253,41.812282101464156,44.62209550874243,43.1928585302731,47.05597342352318,42.392289068123226,44.6118494959136,44.244565897301804,39.95766810838348,39.2631780592058,34.97757321385954,35.8669414010021,32.051133804836354,33.384107340301874,32.996958063590235,33.222415006400084,36.23437094376653,36.80264811579751,40.25373870693084,38.306561701161456,35.028295174074536,32.36917419981613,30.61782275478316,29.416291244777575,27.817413534594145,31.10378882723844,30.18348813713612,34.223891321650804,36.71526904002532,41.29612369897398,40.964982290876435,45.111413077088855,46.2731694438071,46.856811784149755,43.32654522542572,39.327995672878956,37.0788893833926,36.18339237506197,34.53096721136436,37.086151020878205,37.94198982304722,42.582908729306986,41.98669815990622,40.29521726009899,43.469188713622884,41.69094816031384,38.682274244896604,37.68725747906297,37.236459116065475,33.70770537188049,34.74183418593543,32.47217852079609,36.26129371623744,33.28122382698474,34.872772789439864,37.36996353015987,36.5180829859277,38.16588909535987,39.317407438224,40.096860508912584,40.64905914552248,43.223874283190604,42.03641231513354,46.47951306093228,47.03531979940915,44.70295507214112,46.58927070241454,47.7149960961981,45.054393934861324,41.751188830932875,42.45294490161617,41.035804688871266,44.61329740629115,45.55113432241419,46.288857588229554,46.83370429514984,44.8956019984301,50.0116498176742,50.23344595456291,51.07036120135854,49.99703639763364,45.92981941804848,50.452361887369534,52.95245154152493,50.34315949071152,53.36809734514856,52.10967335475732,56.53426593022091,54.219713098818076,55.62050435817384,55.9471631045038,52.855701594083435,51.78274473046391,49.31902414359491,49.449585466000876,49.22148705207594,44.41767595607147,45.10824106278213,41.72149795993752,40.38631810705102,41.69373615571546,39.726438733168514,36.60438035054688,36.69226238637667,38.05587481858496,33.874122538405466,31.16892807047453,33.96745981898495,34.42595355331089,28.628107511357598,28.811144224281307,30.46606460525558,27.39913152129592,24.21865477034765,26.954489339682112,28.50688705585574,31.899258155736838,34.33872345584592,35.33085043827759,37.3379316988226,42.71615352036636,44.535529904645145,47.65069500417057,48.421228066738,48.603161243182896,51.63909712279781,49.99831349056655,54.286637774514006,52.64539172826474,47.16497716304477,50.39414301495964,53.58004927442533,49.29579100880852,47.88412550823782,51.80385383225451,51.439442983516074,47.118849441138416,47.42754823286943,43.4944612003367,46.22909295092866,48.691618800771174,46.57710215940372,48.770785900562736,49.46391139017889,47.55662743707961,44.68466063872761,44.46013970970049,44.57858320426118,40.663300625060764,38.925282009911236,39.16639736342494,36.62287557053084,34.142122428616,37.7891381988687,36.68346347289598,31.786605089754705,33.802943620107015,37.423816170122926,37.66260672535639,41.43435929177589,41.91144201564488,45.64128744276089,42.93603753296119,38.60131190244342,43.24415941096938,43.90204295603322,40.45531558076383,40.8895077846755,46.3227564371205,43.98497787771017,39.73930697198169,43.54802476564202,47.19783566759404,44.404617822982544,40.94313683101953,36.22531118292522,39.00328969132772,34.72726916466245,34.14629668037253,29.69081490717935,30.552348709695323,26.339876761107192,25.96982797389745,29.156593532877164,32.27615041070444,34.16740130120715,35.46888487826631,32.90582405055217,36.511680167018895,32.88704068032706,30.57993522707138,34.314382645466246,34.89576233946698,33.947704085391536,30.531823288638833,29.311227485756177,29.74162304899351,27.77459864673273,24.04785401738321,26.0112845377113,25.70879815111177,26.505723621639465,27.615975336270044,27.276343971026957],[17.941558604884428,18.66272644717253,21.912942133867023,18.05409375384927,23.4411144158811,21.7154472266313,23.546431596960954,26.772139933592502,24.368159788312223,25.83883676055763,27.34758275863843,30.195377629550052,31.162393581478803,28.081738432304537,32.715402665667504,35.0515688620009,33.89376732226257,37.67291738283488,39.23477188603613,42.6333318434245,45.30822853386152,49.372396439670574,49.66612722509692,48.56106679783055,46.47219817844825,42.22195229725721,40.95112692511321,37.30802381440025,38.344177711678704,38.34233593486985,39.989794142189986,40.44639591311509,43.212193179742094,46.85282121040448,45.32957479612405,43.593416673353055,43.33208853571169,43.83399029793681,43.57452228601506,49.4273530245625,45.75199935626778,46.66356139883029,51.250402570876474,51.44303278322779,51.70443123477138,50.53466023513942,54.621541848092086,55.38070685461959,51.514443891751654,55.16338410527621,58.21356339989523,57.42836511091975,59.77351724738564,54.53042636507557,58.22889415478577,61.15964296100444,57.01967958973548,55.92348990602562,60.77571702971874,60.72444133468497,56.174746635936174,56.782712615150736,54.582503580031904,55.64155947276924,53.869128075331595,50.427035651637404,46.53671033932984,43.649476337192226,40.17422564234419,37.63843511041214,36.25162688294851,37.3916656335094,40.172079789177076,44.025704438908576,44.10974453475257,50.1880155027559,50.09982092923559,52.886287080731385,52.558937398120115,53.84627390587651,52.49006838495045,52.37074499624122,50.180416075151626,51.04186365755387,47.798591029661125,46.53002367206575,48.030893707297295,48.63853883229861,47.61492394984638,50.192274345928,47.11525360306664,49.05962331818348,45.49711710281922,43.679841537257246,39.15024630255491,38.458121336997266,34.373982092515966,38.09099178030216,35.89002315961034,37.3792739049399,40.12498750574576,39.901424483635466,42.10545358891869,40.75666443040427,44.16789523877353,39.56708352533729,41.994265850826864,41.289198676930766,37.10613845231193,36.671344827248284,32.246192128591915,32.65518848177989,28.926035732682077,29.64634098562316,29.243500645392498,28.964939467304742,32.03958100384081,32.18577635536389,35.843006760925455,34.33917996525797,30.92766159021493,28.429280407877087,26.160119145165677,25.206879463880604,24.004295969737093,27.048875728947166,26.925920738357703,30.647210558065257,33.319402546818836,37.90143461948709,37.35824666726355,41.69378536735102,42.43346096622626,43.29911980784059,39.33528023514365,35.30046013360422,32.89072102555115,31.658405403012672,29.745436216312452,32.459392791598646,32.92506169299993,37.58896601562823,37.30106542417597,35.77113310111003,39.10149919220497,37.7242160210146,34.67795507320854,34.15270318756446,33.9742432877208,30.853771451624503,32.378267792370096,30.698064129708502,34.95485373034086,32.79892698958982,33.96611386354391,35.88721608967437,34.45168557578912,35.95271559291794,36.634307868605084,37.154107149483444,37.02744536278574,39.52374591755484,37.79522752787911,42.373279060461165,42.5952139198023,39.94871112903903,41.96852186408667,42.84080754167882,40.314315222735594,36.98364812762346,37.94478168445996,36.57548104208273,40.43092494755146,41.673521382808005,42.673008858972665,43.62780086423544,41.78476944512041,47.06889359180903,46.80057787699334,47.73522014606551,46.19114697592556,42.48891583750489,46.736641898543766,49.017832966569884,46.236040177542954,49.122398481088695,47.83400216191063,52.10148912012659,49.44113697062143,50.980763406388576,51.25799151319086,48.36719470188941,47.3511406355011,45.04012968907793,45.38516664144554,45.33612231032768,40.59868304034958,41.69217979822021,38.538300191033144,37.496708072473275,39.247706323657354,37.6128010519143,34.14203660843259,34.26467644076516,36.23024541693697,32.134219662822886,28.824228746425728,32.21134130138481,33.42165651310724,27.305446822754366,27.506127910092516,29.828011409415474,27.004834042971524,23.38787584906742,26.468023092403847,27.344310938222428,31.500236832286127,32.78703843816301,33.86438322432011,36.412926655103256,41.5875477216073,43.94302775710037,46.67262709526969,47.45276971531731,47.23373201301404,50.186873069517056,48.32129119033805,52.39781189652768,50.79088875054935,45.084582118182574,48.1227822182393,51.141629406555424,46.7817157752334,45.173500769800356,48.900088185581815,48.44030238533897,44.07482164968466,44.04218761492213,40.55517156321221,43.407868646627826,46.15253131551448,44.56071021891823,46.868483539090406,48.13596444151682,45.97112770579982,42.84279513618025,43.19364617609451,43.64036063774082,39.37266839048935,37.7450220443819,38.65757554914675,36.258974224497344,33.48618704277197,37.492790702767884,36.89971520398434,32.02092860175619,33.790378689156796,37.59726151723938,37.31739421598925,40.891576341137466,40.90709243594949,44.539782452358345,42.11748755664033,37.324177002223735,41.65021612466371,42.41733638557579,38.92310305479439,38.76141798775977,44.319740129947505,42.056608095164826,37.43560706909073,40.90154763793062,44.77269104102035,42.013720464751216,38.31698093441606,33.51946951292215,36.27560150476092,31.939493052550013,32.06784825807346,27.255935589067978,28.30256213944253,24.131286386745256,23.15436551514347,26.063331499545377,29.008692454781087,30.750543831031447,32.52805537841499,29.697532663757222,33.372567926519956,29.5814984928376,28.005572086020997,32.195143700291204,33.33608507040591,32.504850594349236,28.544874343407848,27.914349773826387,28.988559272924174,26.359927328090013,22.666100845418022,25.56120372587326,25.99367128180661,26.97840230490134,28.066227156348333,27.866151886373324],[18.693858815996187,19.854221927537047,23.64053261836453,20.785422079839194,26.541314210094786,25.288749883624305,27.751092027267404,30.969963438910238,29.090970016044217,31.014546610640263,32.65486259611868,35.22167316599768,36.38984723323226,33.59528925358316,38.26029848707734,40.48450525120185,39.37804635201562,43.2860989127528,44.8872167198519,48.17919268473309,50.90524476814921,54.87278117595341,55.19718819258991,53.97486012963675,51.83875745589824,47.67374722938502,46.29432003621189,42.683949217734714,43.77301383590461,43.645184173599766,45.556256878142435,45.70964740739898,48.50981560096044,52.29582344228382,50.70691819987621,49.05269631458171,48.53787058145794,49.12069019647097,48.72425486290551,54.39912762410511,50.79043703325796,51.984277795959606,56.539882773767076,56.60989859793621,56.81491957138496,55.4214232009182,59.49231047296,60.41138134931179,56.402156212987755,59.83220975955821,63.0494295929285,62.19804012127403,64.71753792801837,59.50028334001832,63.29053080319291,66.32536013298683,62.27173885695946,61.248248778026955,66.12998093757342,66.07736143308772,61.644780556366165,62.38680169864376,60.23613908749905,61.3505498297001,59.48587726435342,56.011930011848456,52.2513198630978,49.35893519197127,45.95378005400098,43.432367409291565,42.08098630700228,43.24591508759917,46.01009536285333,49.86015100502131,49.87500459339238,55.962197052318295,55.7759758343395,58.52219836830771,58.09792293356626,59.30567753003195,57.74934983970284,57.470961001152524,55.08658072357592,55.78557464782269,52.59934615246111,51.53985483111833,53.29523819438998,53.87070496271061,53.09937093760139,55.6863387280941,52.73382067086602,54.75682153562916,51.14601061167203,49.20477777808741,44.65158102929253,43.95102110892114,39.862731844350854,43.32934938580043,40.92674403050573,41.95991428692838,44.984574941497755,44.26943936426172,46.77605376266032,44.944856760843656,48.205895943410134,43.37113344472853,45.32211431471841,44.45779152807405,40.09467766178128,40.00474037231774,35.66228561063946,36.69432869464785,33.27637667774027,34.23557453757499,34.33196375751016,34.076964449228704,37.375970938164905,37.441314883679006,41.38085066571828,39.95094558175772,36.55773939417224,33.993209975432954,31.517344895045333,30.371096326704667,28.88071340625626,31.409253204537073,30.739299059853465,34.43177075512975,36.706591136864134,41.483365868544766,40.42191068343737,44.653405155159575,45.68459857830097,46.86231404015391,42.95123501601738,39.191154917039405,36.25703344376224,35.636493123886126,34.02631905576626,37.04895146705089,37.666786850906426,42.42641177015233,42.393576932724976,40.744434795577426,44.11896091411344,42.86287859109997,39.7184653576246,39.12025482398491,38.62408571249755,35.46993649459004,36.50806115544301,34.92611864414174,38.818681028501416,36.461676295779014,38.185080097854176,40.23879645380772,39.103337686180694,40.29796274211916,41.40220976984711,41.495986644069994,41.515662052063135,44.40162035680021,42.517985296966565,47.13867435780103,47.00673594429003,44.25374706237203,45.87108245579536,46.55172394796294,43.71942528517232,40.69868092850081,41.65952168837974,40.725287356125314,44.695779212388054,46.04787856339603,47.232254901028625,48.11044359415246,46.58131813181287,51.70609472172109,51.47286860014456,52.14824675303741,50.54367950529736,46.56121034508646,50.62102733161823,52.85136078698004,50.23634611069674,53.495712037917016,52.52671459899351,56.630678291438265,53.91922954949297,55.16945919430303,55.1426726285566,52.321526009846544,50.89888124507946,48.38734635720262,48.46589727629013,47.99471126920199,43.23700017566615,44.05670873690755,40.54197772821768,39.81799500929198,40.914515774904324,39.526637009930425,36.32613460231531,35.71816972122614,37.383989158668435,33.60928348893644,30.064733626195828,32.82577140707524,34.079856732978506,28.14904371036241,27.698703847123856,29.612689015658272,27.25400114622308,23.403177448790046,25.523475061541255,26.664337239714587,30.38855418175608,31.817328326113785,33.43378938146954,35.67823298963944,40.90226287597303,42.71443160494551,45.8568990683107,47.16610971784602,47.41014309626006,50.651704988372956,49.32574969394152,53.315198120335985,51.279332632128764,45.949655208088835,49.36509249648462,52.07116148238063,47.558407885437276,46.43012380334614,50.4090370001231,49.41593123667889,45.032436171497835,45.83785175923843,42.07578051222086,45.51276376154981,47.970198091157485,46.10224388681466,48.71494520398649,49.61757692286424,48.02706129315637,44.91290555887113,44.561565398634286,45.23792191056709,41.351091305852925,39.13702538010706,39.806587662391394,37.57235881783963,34.56264194460368,38.00853493123048,37.35164829953132,32.50723840472536,33.76516206878458,37.32250365783372,37.15120112970908,41.01681955588807,41.58779771939929,44.97655358878681,41.97905004567958,37.63464591262428,42.23234618539557,42.4178400830919,38.8405563578202,39.33421095270015,44.5203529625304,41.71786675476306,37.52829234437702,41.471571355564514,44.804691077651185,41.62327296974694,38.178814604620605,33.494538360979995,35.678794388451514,31.265396798916175,30.99375808917087,26.798181748170062,28.419848126274413,24.75758675542941,23.48812947179382,26.767039059412127,29.463643615588175,31.786055999327342,33.62115962159733,31.69243655071082,35.692273596390336,32.483143718942934,30.417846616594403,34.80174292078054,35.474069031933965,35.23621516635495,31.354266448776542,29.854085443108072,31.034727112795082,29.360037577442352,24.943913229100996,26.92024860294723,27.19119284097654,27.898989132488584,28.6706883852643,28.03601244355455],[19.075511001102143,20.55410835040355,24.619545446381032,22.533117301521713,28.397401827327485,27.238883273117413,30.055689531532582,33.15826844275165,31.603591527063553,33.86401784860013,35.54722102807979,37.8685976583528,39.24957680679572,36.69422694387471,41.34247612566965,43.47992572229599,42.49903268293993,46.52042179414396,48.26448830139402,51.44076766758414,54.26540011638152,58.16941577139262,58.58339075759336,57.357426423686675,55.12833709353381,51.00611764541696,49.49129788654846,45.85365696937261,46.87965671743581,46.58257397800717,48.652711542069426,48.53891119914587,51.32999498280726,55.246843245197795,53.63860690800868,52.106746427034174,51.38498649694673,52.13353126647323,51.70321467291977,57.2571568029554,53.79619533488953,55.14149631450272,59.65956894771599,59.721512473147584,59.972926885764984,58.46835924861696,62.54509342109419,63.480796171799916,59.341362392770996,62.678844004347184,65.92885899565938,64.9793957170636,67.58218578066923,62.37691264121691,66.14621935435241,69.30250566354177,65.34692392610279,64.29199318838369,69.19163865695268,69.226753224743,64.8629404539952,65.64855075169463,63.492874733471204,64.72416946925678,62.82226519677693,59.276487116905976,55.65083833635137,52.68545913629368,49.397054074706894,46.81541395190587,45.55706964805844,46.7777365693528,49.446396644337874,53.330723665503534,53.20139997073019,59.287726312262954,59.027456365866186,61.687000619485126,61.20396325820833,62.38707237892186,60.65347842157922,60.31592700509383,57.74277645614584,58.3902320491603,55.30196035836696,54.32455547786606,56.27292879435002,56.738482033922544,56.191923789057846,58.71069967275639,55.87630508794788,57.961057579725214,54.2924887880005,52.22085032467956,47.657339172463146,46.94612994396361,42.863568430284865,46.10293308301501,43.55160505294761,44.227979415516614,47.48140013861486,46.43285355275291,49.19025815031702,47.057213530246386,50.28507921830136,45.32707157032599,46.96499955201259,46.080510681147196,41.63012780512425,41.68002649260847,37.441062105470884,38.88919986155186,35.65238450633156,36.85144825033025,37.24325820079541,37.11692667928282,40.54481970335306,40.68270384393075,44.78507940954676,43.27753735379938,39.934785880480405,37.270106911712396,34.778272206537004,33.440357411289355,31.70118822679361,33.98567507764777,32.87081230027329,36.57855433128992,38.588685351746236,43.435474909110575,42.15694880070377,46.26311457468098,47.54193575651538,48.8114208973849,45.0518459156061,41.46548728481797,38.32566686903838,38.112267133944215,36.749121839423026,39.87679833182861,40.726474417485235,45.532269508868914,45.54348880212009,43.76207070377379,47.113565490491574,45.83526383306504,42.642031605767556,41.90254446590115,41.16667740285528,37.94454943524604,38.6237515974122,37.04673362316117,40.646492095269714,38.13151599578353,40.21742906236373,42.37639264463924,41.48790466365336,42.49985374760047,43.918965207560746,43.790776015785134,44.01878653951697,47.145756957628414,45.29782927968698,49.89965612581848,49.64830297250571,46.94279127776978,48.2917298291959,48.959021764048615,45.9351924167316,43.09432481857094,43.96387034971882,43.24804040430016,47.18964457245419,48.52480797661868,49.75713977845722,50.50817649662607,49.161474541841876,54.14486151740823,54.01926074648519,54.51553610806579,52.97787461259098,48.76897817677224,52.7679144392102,55.01543661272669,52.5453287537183,56.04529624341081,55.27817421031946,59.32074587629849,56.697333455215215,57.72783651900591,57.549183513859695,54.70812169078697,53.05456076797709,50.40240924094449,50.28208313071158,49.54984430634182,44.7913931370239,45.36481611540676,41.64083269465605,41.01549315322775,41.6733541712553,40.36086494146028,37.39996155258685,36.419355046026126,37.790542648536515,34.214754707221736,30.723607494279626,33.002225028203576,34.122247636745136,28.444482879365616,27.662567129798692,29.202152617173972,27.103367256678222,23.296587804863737,24.78556051154353,26.174783027999847,29.446704426766477,31.178612323242135,33.0137970856579,34.95808220612869,40.19302173842399,41.603852076441626,45.009207655720225,46.574844184535685,47.13264710338636,50.516550433305795,49.52261223942711,53.484711561756214,51.23490036536264,46.18093490727486,49.805150424953794,52.37423441081213,47.833394054456164,46.99720422344748,51.122283146217164,49.89941805144135,45.55100821012966,46.84459488609992,42.86354452445391,46.539238587050974,48.77218711033843,46.66770460926622,49.40301007134769,50.00552170898105,48.7801635363261,45.73720589542202,44.91431810955155,45.66183592019639,42.068204225525456,39.53893264483366,39.972670894009156,37.836965574814165,34.77165284704679,37.81617909290702,37.066352537338496,32.30770308549508,33.29142495254697,36.63856919022027,36.60553013610555,40.61749811955274,41.55551794539465,44.80186708160007,41.47837627711731,37.4973834239309,42.249775602543494,42.11494181981685,38.54129707037732,39.48862286230714,44.414429766096966,41.356258290829544,37.51154567258902,41.72939380671985,44.72032490699298,41.36233936603862,38.1357376183143,33.58682886881372,35.4958950705383,31.1360445479465,30.46614972115656,26.737986080421024,28.541075538958566,25.199526092076717,23.984242484532484,27.424670722487555,30.00933410402353,32.59528412370279,34.295299174131095,32.892914128528375,36.984312128726884,34.14024130246653,31.705413049469918,36.053545733696545,36.37895250654608,36.45287685641901,32.73697504890325,30.708951032180995,31.845411425173136,30.802047165199337,26.075773544593073,27.394728796136143,27.493183044999366,28.00006159376149,28.575069411101868,27.69273667759912],[15.653047934488386,17.34213905345258,21.591725470851365,19.801844223409613,25.71736983427833,24.123955532727297,27.081142000434337,29.994370220026333,28.581758977811383,31.131927276504918,32.81754797190562,34.907893045452056,36.501575826552966,34.206620795107455,38.802702664979634,40.83756903855767,40.07117156257837,44.22378895181496,46.27593926043356,49.27521501012297,52.28774860645917,56.14580887203597,56.75828911300499,55.683050160904905,53.26683112136371,49.145186695886345,47.41576809376771,43.66309151246991,44.47299253931367,43.92697478309962,46.109139456274235,45.71236945996728,48.48251263798756,52.52001305389047,50.91010722835909,49.54979600404947,48.63817093299075,49.66927038540816,49.32777691084106,54.829426315074755,51.64092606311833,52.993447881058856,57.45983971815197,57.67218165636629,58.12793504593403,56.649525398081195,60.77896721121241,61.521708643713716,57.23642062901672,60.669328465584364,63.76357697207259,62.659908753010335,65.22813269028961,60.00822542839107,63.60647875825605,66.92058250790977,63.088241041926935,61.8620760801903,66.76703086033606,67.01776141475,62.674798378642954,63.406243131124384,61.18774631926642,62.64350632139697,60.752147331959904,57.066620068467834,53.63712433082334,50.50417528503165,47.44614952821222,44.72056260395548,43.668865358250564,45.047393201589806,47.46469067120843,51.406750807810674,50.985583785437846,57.05788661703447,56.696016015189315,59.208309337957736,58.6785828484472,59.885445980493145,57.97846668292576,57.69499388682527,54.926098438600036,55.66300413486628,52.72210218698903,51.66501865866816,53.75579076867822,54.01332146106288,53.69225393762019,56.06621359676854,53.3761592515106,55.550754630959695,51.81909554440408,49.59491754176309,45.01801202881298,44.3482262340551,40.2591854825348,43.23228831876348,40.5556118347587,40.99815966445388,44.38723563668648,43.171374045467275,46.10837080301482,43.88050474498361,47.241742459675045,42.270585343953655,43.86420595830709,43.145636232511464,38.68213298410683,38.57326635719972,34.38616186152541,35.99786969762134,32.75151932331218,34.23764347681951,34.74669916496547,34.91227489470775,38.39971046045173,38.83299456882307,43.00997158015205,41.21231634542761,37.98898088574716,35.14286242516219,32.846644462649465,31.231617445572308,29.19550778144677,31.537192691717987,30.021649915153503,33.8775348611272,35.8387185894205,40.65194993087261,39.58744374375473,43.60749983699063,45.06911180268667,46.11192381271805,42.604347275756744,39.00738699673677,36.07172595838062,36.00479071321476,34.842363842047575,37.83191733759979,39.09520669782215,43.909985050125556,43.674624185211755,41.70089359861638,44.94214920563722,43.4457440007155,40.24582065595865,39.253518809735546,38.33709615794372,34.98157070588204,35.44684469062753,33.77506459366161,37.23502133618955,34.65949017511509,36.87936121008691,39.07861620755194,38.34551753159464,39.30353572641316,40.92098280069542,40.79538010791622,41.318893164048696,44.53669499775136,42.97388846058695,47.49008873008132,47.44122908627386,44.99826203081698,46.26443104817701,47.2031912598153,44.124017529188784,41.23357993098879,41.875118184787375,41.06585609489443,44.80008339132052,45.946387614938146,47.0505565974295,47.61068324096629,46.283350018581245,51.16640168746552,51.23550683214094,51.66073307203029,50.353983908144926,45.963182347019725,50.11315207058112,52.494287908442914,50.117504614580106,53.691587735234044,52.96642584265846,57.10721317730922,54.77852547164022,55.68440823470394,55.58259133201056,52.56321947235138,50.934504200084305,48.21129183791255,48.0050990404842,47.2814744244242,42.4842011039818,42.888763208275364,39.15059931286039,38.251926851979505,38.905024441350136,37.354790269134504,34.464180724468456,33.70986176254781,34.913434318927315,31.17522982609031,28.03738311665433,30.297651208220724,31.088419980200594,25.42708819923911,24.90286949301217,26.369676903097204,23.966333217952535,20.366271558681177,22.22390852840643,23.799031886297435,27.009586334224693,29.263063076860092,30.711178249550237,32.57957332856116,37.917586614763245,39.435177639489396,42.766348218047675,44.02789994662249,44.522289970230524,47.81367610832436,46.67637691913743,50.779471053506754,48.70960768834954,43.57310443576681,47.134857512611056,49.94023928674109,45.5095392278557,44.55166671953482,48.683419445409214,47.77912228735506,43.462205586223064,44.57542521870474,40.42616235818739,43.81640202404899,46.00778422340907,43.75505573850945,46.34731497347175,46.85503110584176,45.55126053422479,42.590186527568754,41.76700254704345,42.34912206847928,38.75579823169414,36.33954412149326,36.653135270049425,34.43305167291812,31.489347239920708,34.633046455119874,33.77996316988712,28.975953615102128,30.206624658430023,33.634782781730415,33.70735434063729,37.67888981746478,38.54983454787838,41.94763773383392,38.768196123012515,34.73827571489282,39.52665230048266,39.62933037477636,36.10683838413255,37.025194129780914,42.09755558803185,39.30545660662928,35.40807292813272,39.58225006895403,42.75926379204621,39.64662936179635,36.40353419406024,31.818834115210755,34.17792735267765,29.915468212669367,28.98592344595418,25.03079926430258,26.34213499015553,22.682286800256005,22.022894964004063,25.465432392672874,28.352210006283077,30.70878415141665,32.03999823819943,30.411916086471187,34.35317913892848,31.441992440512916,28.756150498995787,32.87892451341851,33.1044235305431,33.05609052118254,29.48819953301594,27.41480401452521,28.36883756780172,27.391218381644713,22.71857693798743,23.958389730227108,23.9572726681305,24.523775186411697,25.227266756469096,24.4978447002986],[17.314480296511906,19.878106803169274,24.520959356469977,23.366907587199783,29.198512033856073,26.38315758080283,29.31189882398232,31.520346934366856,29.799112829733737,32.722758110720996,33.84707961605204,35.51319418644038,37.96524657534623,35.72506151638287,39.88866160619232,42.0856548117338,41.96336040815269,46.065238628221955,48.54683570057557,51.55747970493725,54.69425357803026,58.70290375113146,59.43982452471766,58.6877280106199,56.23115091030622,51.97838848970704,50.21073540464465,46.25783520972731,46.565315618699316,45.62363279572453,47.219281502161685,46.750388253537054,49.06582222310715,53.28011869455205,52.09721260725845,51.15587457520202,50.278595591082485,51.91941567877199,51.96075200727104,57.58484956994998,54.730214784858,55.71951619208811,60.155843669256896,60.72724732818663,61.449186976905644,60.23213061674201,64.4123718969494,64.82491739569807,60.53253195430188,64.25921490844897,67.02744736496436,65.77080100143957,68.11913289049556,62.855944458843844,66.03329814627803,69.49603981832071,65.74693806888995,64.10973534240547,68.96298439786409,69.57989523947741,65.06148858810101,65.38092778800151,62.86629945760613,64.55091112623303,62.96965797169042,59.1628638278489,55.646624239948245,52.244460181924964,49.29198970726284,46.161596206048095,45.2890631195658,46.40343612375924,48.638587486567154,52.88376250695508,52.26007631786843,58.188384357344205,58.195711738442796,60.35570528573945,60.139641674228734,61.678156069916966,59.75558760609378,59.89817686564676,56.89492472238647,58.05605449709854,55.37841942386157,53.90625124386358,55.93096521700998,55.683880522174434,55.41235067920198,57.180526594799296,54.468997727657595,56.32356446983404,52.436903428169444,50.026843001140456,45.62632360968358,44.52708304881854,40.66352834875035,43.616266690801666,40.992733878535624,40.98685178279651,45.095192189282734,44.02129975017461,47.44940930565469,45.43958779452891,49.37926021041197,44.514426933535525,46.139294499272,45.9021561121851,41.4699167001202,40.86819323880913,36.83826108058102,38.58218191633086,35.08381651850497,37.04509658208601,37.238793060945234,37.8819840928191,41.13562383373403,42.013846137558716,45.768084929458766,43.505208487788614,40.40625893038794,37.47700175540347,35.82879789540064,34.137493168229696,31.93189342974414,34.823078194363575,32.85686791472904,37.02158654977052,39.013711837762116,43.66842265665917,43.1426961010707,46.98768558327056,48.72071070515547,49.27652812563874,46.21525044530017,42.512569113208535,40.06851386904333,39.95845458674934,38.84600189586124,41.485357094616084,42.98308933068046,47.708792576407404,47.02609633291718,44.99253654326438,48.04487904392148,46.076044292834794,42.99335830337076,41.57203104422848,40.57612260441327,36.82927352918706,37.04368542930191,34.659803760914734,37.73585275375399,34.316263345313686,36.700622467979045,39.47854225155596,39.25290248055159,40.55517558197094,42.42945371375811,42.85789922502425,44.02147670808171,47.057989955750095,46.15626256025165,50.493217463885784,51.00542747011207,48.93316481326137,50.31625419176202,51.60282562554716,48.5854893398248,45.54835367137001,45.94542845726494,44.830040581066775,48.20451333105494,48.96440525230559,49.671981026844215,49.83106065603965,48.21098058910448,52.979026727317404,53.56954598951927,54.04531664536044,53.291002839274384,48.699757529336686,53.236915870630185,55.87150622640057,53.58455550050649,57.065659871323284,56.173881829457095,60.567731674345666,58.612264376548715,59.5626373791616,59.68887453612309,56.439536594204526,54.99504535837593,52.24367846400388,51.97257460494158,51.30582440905372,46.48304010446694,46.614000497995846,42.860305550916834,41.47344046774599,41.987497224802624,39.936092545028146,37.333120616201384,36.96348676829478,37.61931591249975,33.66820544450015,31.42565835807667,33.30853163770305,33.15174952591878,27.92255463130213,27.75771842833048,28.58000194841247,25.68956819397211,22.92191907419132,24.7904134229403,26.994681202026,29.37972720172391,32.900347334887684,33.93398978005088,35.26538850624012,40.72599508263567,41.8357573769516,45.38643968888103,46.34482231772212,47.07819503432801,50.281540604350944,49.13597574023618,53.499553101113754,51.6360118888833,46.617246282441045,50.16060710956841,53.30105899749676,49.077838888724976,48.09487743737318,52.270825604211154,51.762484794927225,47.543147634091476,48.567263930406256,44.12226220250724,47.02781022364632,49.037868895173084,46.35352544367105,48.61576092197334,48.63008516875694,47.332620904111195,44.70020038915505,43.585427383790595,43.628455341278205,40.3004826448007,38.11342730208289,37.72016921304051,35.26150585902087,32.87594386359516,35.811201198364266,34.34200529953543,29.59508407911821,31.402911561841968,34.65029166233959,35.337136540884735,39.332759090277456,40.4660116727087,44.06930142598763,40.89284863045105,37.25379900495857,42.199619502637155,42.481119944756486,39.11508390217345,40.3662682974535,45.42104645259979,42.859086991480616,39.227418208185604,43.47293677065892,46.642459823122145,43.742069198209315,40.67846845728511,36.200918610374096,38.819575275734906,34.733316044185514,33.27339093484189,29.501995205507875,30.281270605882057,26.40980518597045,26.564261849185293,30.000082630607693,33.12817630642555,35.29360468918019,36.082236117690776,34.26452781661599,37.89300384813243,34.859091055476235,31.714091399334517,35.135377237772786,34.96920444483183,34.44097648608305,31.53435744432807,29.318573290752038,29.400501511464824,28.701602501199744,24.548296023521154,25.126934225981266,24.248517898038923,24.667206486702334,25.542269135604606,24.89184574016751],[16.71384966933454,19.54180541934247,24.152248868596985,23.064308881231195,28.639367533720566,24.873502975493846,27.573065218319805,29.27290884020892,27.26406725733059,30.345703144097723,31.087202145401154,32.4796308055584,35.42532350324621,33.26897892215093,37.10595123587071,39.363386056796244,39.6745070250105,43.72309396215733,46.53209287344149,49.48047782376955,52.72035848172067,56.791595065762564,57.659989521645926,57.18101597925094,54.65900774839406,50.34551494434873,48.518899086930986,44.44017257848101,44.36690545581983,43.15695219716645,44.379602914367844,43.85917342791609,45.89472370739779,50.18388218559543,49.2574041291631,48.58795892743936,47.74685447892278,49.787247051386785,50.1129913934273,55.80811125121397,53.22811580214828,53.92626143689982,58.30868648477662,59.16319007951003,60.11843076165688,59.13319908798787,63.33908744577142,63.44847913369772,59.173630426310375,63.14492256912159,65.61255167603893,64.25464328428566,66.39976804989419,61.122725023674306,63.971032482777,67.5176433413966,63.84180427354514,61.907025680881475,66.70582856237912,67.59316906718593,62.97062842918636,63.00720007638518,60.30775877961012,62.176205755237454,60.79945055930505,56.90440444016089,53.40536351870554,49.815517933028595,47.02390177355794,43.636666018698335,42.95485995681498,43.98624608862366,45.98885740716035,50.38609450913715,49.5515330318893,55.36090941494128,55.54973582736592,57.46765086424107,57.431326057492065,59.17415485793001,57.25624966212868,57.700121476695905,54.58734799049168,56.06041325208456,53.5675450428545,51.77898943134415,53.720371194523224,53.1371078126059,52.89371105833779,54.270673812385496,51.57727284535975,53.26609272519973,49.305521627611746,46.78353640057963,42.50400366567925,41.197833551581525,37.481317092011835,40.37224307365764,37.81039601369074,37.62931392009741,42.07045775161998,41.20684451091526,44.83871626440611,43.11121154521503,47.45222549556856,42.75637483223719,44.572161752040266,44.707971735023115,40.38489243061985,39.331764004972534,35.397089274377706,37.0180208506315,33.30230097590422,35.53256741455361,35.436232412701116,36.44618341175435,39.4848505082206,40.73950101094056,44.17072731295668,41.53637180960585,38.59324547615394,35.60056445808903,34.4815484057815,32.71423647388464,30.4138608102872,33.74320240878021,31.591123271670153,35.93736905334615,38.0561621539613,42.506151911920014,42.53691327083761,46.286447834716654,48.09158080745336,48.19554036878397,45.447733760340235,41.612998498566554,39.702815144510296,39.41275802373095,38.318399162877284,40.59244763387123,42.30952407711319,46.90989031460593,45.82431179153533,43.74128646060155,46.60595432794392,44.27517239164126,41.31631123034798,39.59869552266682,38.60810173381748,34.64034714115448,34.80810524252727,31.962750842432406,34.899287395769605,31.06550299099254,33.35809341772972,36.42108680642341,36.427571649903825,38.01286892153817,39.934473483767775,40.8244797187581,42.382356225494675,45.192728654283705,44.81423834700507,48.973487535810364,49.9739143416272,48.243492450299726,49.78728432403195,51.40501680019096,48.52833427161589,45.31305061104662,45.50299040758095,44.05391062249307,47.09779906988499,47.541808291863454,47.91983709314652,47.823132011811246,45.944167567855835,50.64924306342212,51.571755214985984,52.14574341968006,51.79075976512271,47.16259901265507,52.003204103027514,54.820930846299575,52.55998793494208,55.85933833470644,54.78491819821412,59.38008258283566,57.752934335034766,58.77976728327405,59.162157513121215,55.72307382720509,54.54276269010441,51.84426897708584,51.61725019844505,51.153457506213705,46.33348356649841,46.38653352694844,42.790688114122354,40.94627334343706,41.676153692545306,39.199522713103306,36.6566832437264,36.87264666484249,37.347411437746864,33.11040110331109,31.53379031619138,33.50999525938617,32.78441834696489,27.708711480515674,28.10753895505178,28.818343659224986,25.383492825457232,23.215695654256987,25.67517808735327,28.038112881835364,30.273858760511075,34.36630361193939,34.85125375674446,36.080084478680995,41.5769181307566,42.82234957772774,46.22020105009614,46.67874155867822,47.26383923570286,50.2468400213488,48.789723709947054,53.35313673079085,51.85315561334667,46.694048856541365,50.021910986303766,53.53214451660101,49.51949532642021,48.26933247083629,52.34094994986015,52.35809288769719,48.210929780282136,48.76795720103627,44.26644373275947,46.57744606208225,48.60877301427501,45.804152765991375,47.709681934873224,47.625198506318476,46.0308774272616,43.59161452926977,42.67080057964196,42.27840907353706,38.90683587399509,37.16496810642177,36.50154161960237,33.81491139345466,31.885149780580985,35.0306474790579,33.26372533959594,28.529734650961807,30.97384270897512,34.28369553879807,35.22664737616995,39.05061727246313,39.996350067081934,43.856704920256924,41.03076231648798,37.339836248332496,42.21770423003126,42.93881850008178,39.70966051391091,40.781518274166324,46.034977071493984,43.920164190696255,40.1915919677962,44.224238442587506,47.688069221551196,45.1556908520763,42.04987263854563,37.562390785416746,40.6678414793881,36.71314205375524,35.163493580369625,31.124248029117982,31.290236428306294,27.032429064323477,27.82008989760674,31.08233835442154,34.48849713254259,36.25793364228939,36.66262433508717,34.32144489859038,37.5908420442704,34.26605386729056,31.023717056322294,33.89544596294698,33.7010955071263,32.60771811926905,30.09556473092083,28.187878825395465,27.689008782605537,26.738950450364502,23.244578347165383,23.86531946312421,22.58718156956562,23.13610530480114,24.347058546539202,24.03848078161594],[19.013315833288186,22.045445782901947,26.83723915453713,26.39019653040505,32.076493106673276,28.670504958235725,31.681056493837787,33.36945062656891,31.70642077247086,34.970482031493525,35.79417947166333,37.02435465334156,40.046310629750245,38.040993291653386,41.885400331661046,44.07339789384351,44.404135028722564,48.51296744607241,51.33241608304603,54.23418847231221,57.503020641316475,61.52956521286226,62.4169080240082,61.8752267886103,59.324145019297816,55.04483515893491,53.16281678787088,49.097226433169176,49.058915175629565,47.77998259539367,49.13749201479027,48.44061421001269,50.46491032405166,54.82740124883472,53.885535514966946,53.28328152195767,52.29232633525243,54.39324774003562,54.64531331637403,60.23382529194154,57.70629072313166,58.56318352946586,62.928459588985056,63.72085361619099,64.65583952943213,63.5432548751616,67.75107417370988,67.93938607655146,63.56639265101962,67.41998464951871,69.97137074434424,68.56599205815071,70.80924545304168,65.549161223305,68.42616534959832,72.04839854992953,68.4343917157658,66.523865375947,71.3342617331004,72.24388073510843,67.68673225608794,67.78527270404771,65.10162776191737,67.01359481987396,65.59667502468383,61.67869721197952,58.245762410082044,54.65034069147195,51.88694722771644,48.5096010638773,47.83164839342075,48.85775665806877,50.86982558430614,55.269049478713576,54.40451065527228,60.20211028497986,60.35457380444583,62.226657851881896,62.14762938449571,63.855044797446396,61.81258505193554,62.17542350862715,58.93070683634804,60.31677007515016,57.881800223103916,56.21178949111071,58.30654004769821,57.68125966252584,57.59775257746586,58.948693507403654,56.33835425894217,58.05130307048166,54.06905151313952,51.47913225821094,47.22101789728178,45.90206867117559,42.222630855178494,44.94410739779796,42.288194810638814,41.79402048042054,46.39814518561277,45.22001989155333,49.04563943153412,47.02044070257045,51.25733445270062,46.44769968699009,47.92190389351283,47.98457470560184,43.58434100720143,42.744138491176244,38.92101862226311,40.92438465311472,37.42719655882597,39.770034040942555,39.95393258724001,40.945273010962566,44.10975490621486,45.29790874103699,48.890729977856324,46.31146949657453,43.35876787643383,40.34038977074692,39.06907874535295,37.22803566238034,34.81469184228275,37.84581244836746,35.412192801051106,39.70451723375874,41.564265926121294,46.09670264538796,45.82215071206089,49.46309395219077,51.47526311927576,51.749021803507155,49.07541569555965,45.42142442743013,43.21438147737778,43.281545736824505,42.35095642656532,44.80081495329585,46.58173002134519,51.2533179127799,50.31490805717002,48.16859625874726,51.065931133480696,48.8031666869643,45.788405436885334,44.042368516792536,42.87111682660374,38.91326383541986,38.77568492875904,36.02446459014534,38.64074389746012,34.71116922235546,37.34723834005562,40.469862979216344,40.69272493689776,42.06847986550822,44.25077112446847,44.8784985104233,46.5344942916047,49.56914447037046,49.10475812423905,53.28404215703448,54.0872529500386,52.29819774515233,53.60512365594314,55.11915810516557,52.05981127655025,49.02714344083761,49.21051225828215,48.015166552479286,51.11787672484938,51.61570939175977,52.094079744751966,51.930117079941546,50.25152102317537,54.82128575836192,55.79312220154984,56.19697486124613,55.836262012660555,51.03095888964003,55.7512552232799,58.54484743297017,56.40591343902057,59.93494029830822,59.05512702656862,63.557650384804234,61.91994156954728,62.76521224545682,62.96712629771283,59.55898095840789,58.13107806719819,55.306424756922276,54.90025328731235,54.163464973960295,49.353768459772155,49.19214371398282,45.37926842940108,43.71980670346872,43.9630565842455,41.63730016860281,39.357800255587264,39.10065438013023,39.274908243868836,35.32993825052213,33.73236678586199,35.164000148514866,34.331468587861146,29.608770731400437,29.568663817483486,29.81955093754491,26.785395560603238,24.686821493598625,26.29638836730821,28.921687952572103,30.55775467368974,34.96364042104653,35.74058387959579,36.59154424801503,42.05530691597048,42.75771342070294,46.48861541325787,47.289527530981125,48.2762705323198,51.430679818571605,50.40343998965992,54.899318837945536,53.12602295994537,48.32630324043687,51.896506646918574,55.19977854306309,51.147841930324425,50.25460641423364,54.47686728940683,54.17544760936948,50.069946908177926,51.196674071346806,46.503209165193255,49.14198618908287,50.92053943094268,47.881049470273055,49.94552622567661,49.50855969496622,48.37730279863261,46.02408090950235,44.53901395274386,44.25079912330736,41.269163049389455,39.13955916456554,38.18989352142056,35.661418460598355,33.6762148716184,36.25396090565299,34.36126581803727,29.80698069852102,31.855850824513674,34.833622632817054,35.976761991182634,39.965150914263226,41.38627941991636,45.03195998299751,41.796144763125966,38.59870833368347,43.63035289249085,43.93161738078953,40.72187587095655,42.326823716797165,47.23009259065219,44.79162010892477,41.48695454627762,45.81914773338307,48.853002072988644,46.09140836289468,43.24501311174918,38.92669782669056,41.64005172651207,37.74587687583431,35.82948974742814,32.35097967633024,32.80050965913222,28.973922093469117,29.667217889219216,33.08356049836842,36.30000595523422,38.38769752881622,38.75015099972059,37.01908533523201,40.43299724448667,37.513788654333496,33.98474625399024,36.88563759505853,36.323841175448294,35.64671668813474,33.28984150543698,30.809605145345976,30.32349214481917,30.115977296831943,26.270923313047255,26.130993345106802,24.710492250611363,25.013527264599247,25.9589271737799,25.364614141275492],[16.08520056178989,19.4803956710823,24.248793075939556,25.33266254249833,30.654661468938247,27.230033912108127,30.714728959507404,31.979655730626916,31.239048592836827,35.126570404059564,36.172072896218836,36.75568095342539,39.99318171264208,38.80080715136626,42.56011797914332,44.319406245535426,44.909012558498375,49.28388520602357,52.53931421102361,54.9411352162312,58.529261404538055,62.26840143256526,63.52809694493314,63.09205137640374,60.18049075112687,56.086092342911485,53.742583554832464,49.63468906254888,49.365919786936644,47.6342810837943,49.59919496541522,48.087903293634426,50.190139789176655,54.78133302237153,53.6538752829033,53.3604658784234,51.76660359645385,54.287262106223594,54.48695677283206,59.66212448264374,57.69879473596284,58.8964234744125,63.0658938058075,63.93996015626222,65.14043931813157,63.832590975098086,68.05257554971587,68.08694966982337,63.371311944932636,67.08298448902063,69.5187281286601,67.78941163188291,70.146938801207,64.97386927623951,67.65506323095292,71.60326218388035,68.34937951034168,66.30093491526256,71.09798537457375,72.32928628075351,68.03232726811777,68.27372701616643,65.6418567941543,67.96483480212032,66.39751677249575,62.26065626904574,59.422915075046554,55.63751812392257,53.408465422709284,49.97249126997714,49.68262717056418,51.12625673214367,52.652033337148275,56.9705129267651,55.54061352196744,61.2758466438759,60.99171091059136,62.614538173509985,62.240818047749705,63.788613332146184,61.23935107308198,61.439012997463536,57.73907221004764,59.018904189557034,56.9271064440927,55.426570242502024,58.01225208715264,57.09049500528211,57.689079156634904,58.921500742957626,56.78410902174009,58.84399934542046,54.81626873292673,51.914549908996754,47.65233750392353,46.609217755234724,42.94628866264302,44.79622928660944,41.767235428321555,40.48334347454575,45.268498838081555,43.263691059713736,47.50464613178971,44.843711365236786,48.95293655636122,44.058752617582954,44.92545403846508,45.11801533810583,40.7281494229382,39.97663226599503,36.54411696075841,39.292824944063156,36.282654100134934,39.156385149634154,40.012803838242654,41.40855900987862,44.80303313533334,46.321883740307264,50.30883116908002,47.44122330793949,44.76582523467074,41.4799392753541,40.27281607493588,37.89917836498449,34.91406764624473,37.38479887263768,33.99382575665969,38.221134188997624,39.53639950998578,43.96219180485521,43.606558682036294,46.83889726635268,49.3613673608701,49.51907437457208,47.425118051443924,44.14922358346963,41.941563534034536,42.76547432347666,42.457207932884245,44.861764693004446,47.40563693630623,52.06594101538631,51.00060343508749,48.46954173566622,51.157440270966276,48.758482812667474,45.714986591019546,43.584323131017726,41.854927447502455,37.87504267495461,36.924312469810445,34.36110351989344,36.23639220514652,32.363340379869555,35.693786264868244,38.73251974428055,39.44121011603169,40.27192443713987,43.10437941947037,43.2057998222497,45.39121973008067,48.87514243942671,48.70070666626713,52.669202822922365,53.42163588408243,52.02479670186134,52.780994970071355,54.552234976187826,51.22132969856315,48.47353766298902,48.259580911299224,47.33551406446564,50.09400448815886,50.37462421510357,50.82771097273021,50.30018115891801,49.06600282615609,53.180754618124425,54.435502938997686,54.433057476023755,54.378544058416466,49.14058597381087,53.7788068462013,56.67286225945205,54.908254152725725,58.844181531828234,58.383706048723994,62.79132499703292,61.63550961864835,61.959592804739984,61.999336265158384,58.42229823684098,56.696422406362345,53.646049696503,52.86175383801361,51.78867693484875,47.07514006072437,46.37006531392942,42.39072166671467,40.5868656223931,40.19479539924182,37.75812579812691,36.02751325957777,35.56133549198336,35.06440024107185,31.39323050072472,30.51691644879341,31.127736797708646,29.604646882077933,25.680240691258454,25.58791924419884,25.066828695990562,22.157208212973348,20.87398283512862,21.929802963201325,25.01325791860552,25.64558589850658,31.102322027184545,31.476762558569586,31.7121067581765,37.099852781584154,37.41905643237114,41.242501135416575,41.87545525485491,43.15806261569652,46.286164890512616,45.534983722552134,50.07534276086515,48.31014723659949,43.89612940478184,47.555674806410984,50.91305694365286,47.08841645814924,46.43745921254727,50.74472396838438,50.58327438706128,46.68929357256753,48.167993679399046,43.120456959705976,45.62179486190429,46.97916069070125,43.50794515713266,45.50703812524862,44.54052667174268,43.87816469241033,41.78969146183374,39.66018272816184,39.287187093739846,36.8465647413262,34.46437836085018,33.027242278584374,30.64721384371251,28.844838250411104,30.807621734272143,28.679786338369812,24.417920002965374,26.337516403718805,28.96540166401941,30.469358803996744,34.44780756973905,36.253226562527146,39.79462836267249,36.431263896774055,33.81722745076897,38.904579280015156,39.1159253333455,36.12928587018257,38.233545213095425,42.81343849450155,40.53775538995366,37.74930723723654,42.177794070457104,44.93339304115557,42.4222776712686,39.94603962191765,35.97570340763981,38.873558897430875,35.40612524320416,32.75462016345332,29.78932011396162,29.674866258900384,26.169160969340357,27.686652483204426,30.972923781590826,34.22802625388432,36.183738559065986,35.83947133003105,34.59731894089805,37.75142545165472,35.41795748301931,31.27745816625756,33.65620337635397,32.460755687444696,32.197811895042,30.40497714467935,27.20699499603452,26.42706682286671,27.404062486939328,23.47378075358625,22.08005070623204,20.287716249233963,20.217976846412952,20.984632450500513,20.34949223458241],[17.652772682318982,20.61473061857885,25.404571557934425,25.738808366931487,31.426817906117545,28.806786129674926,32.26293979433114,34.16409172552005,33.21916616477294,36.702575271067914,37.97497545569582,39.101197019034736,41.825248589261726,40.19150870596069,44.286662803268264,46.19231944418709,46.29720819796276,50.61688643793543,53.41743769283056,56.088774433078946,59.461590155899934,63.2739105306729,64.26720995195217,63.55384698478196,60.842542568963594,56.71691468587938,54.611718900808306,50.62256881946581,50.77668766935565,49.472521740328176,51.50046925869711,50.39539651412651,52.72261426157264,57.15724243380444,55.87748102231385,55.203870886368364,53.84429130032488,55.833857379240115,55.80913585906926,61.11037144610759,58.66443191322765,59.96581855709278,64.27168893576368,64.86567161108461,65.75487129096713,64.33424145539138,68.52664293839445,68.8850012638122,64.30338535407478,67.86380044445742,70.60946454305447,69.11184076473081,71.59595935315373,66.39142110924287,69.45220713694347,73.19054066061123,69.71044077207303,67.97992442104281,72.84053351048885,73.69707086729947,69.37171603633655,69.80089341030066,67.30428181469438,69.29496402718993,67.60964569262485,63.63462266685699,60.525183743593004,56.9720014243343,54.3745842110126,51.171432826730765,50.55791080045458,51.91030564651073,53.8379427927049,58.07208685179967,57.05597279996004,62.94061046422486,62.68055800383435,64.6317389598433,64.22418806904936,65.6626860560739,63.328758618102455,63.33234744225428,59.93046168753747,60.98224033365635,58.57134939249905,57.27184234622745,59.71598152819128,59.221676262778736,59.493617637112564,61.13111960735432,58.763639793962106,60.82891136842922,56.87418965192024,54.199292393640924,49.8106824314137,48.82730932983036,45.0041842188176,47.31543917755085,44.39164487640675,43.65029296578778,48.05169300095234,46.25245891099405,50.114376665522876,47.50074783127655,51.31562550609118,46.30708506923145,47.295210843981735,47.09171975982199,42.60218912394501,42.210233000034044,38.50726670755908,41.013496209933614,37.96085569135494,40.36978156640984,41.17081669284603,42.08968831134099,45.57323361033018,46.64471736268946,50.744438415168105,48.29919998177669,45.36978208032893,42.23757092115138,40.56878346618003,38.47610064742646,35.80725718576168,38.168262718224966,35.36056031032596,39.463210991821136,40.9149213461723,45.56602176031394,44.761447753739375,48.26224283687799,50.49027363848699,51.09591482282455,48.468472267918095,45.13814760850466,42.4743111023423,43.125255862862026,42.53851152251502,45.26884769312699,47.31510085746647,52.08729439982321,51.41156908938891,49.08053710156573,52.020711119436015,49.98269677988837,46.84149042220468,45.127405997181725,43.64359742814408,39.85672315929665,39.33262019821796,37.082364095685776,39.46549764528176,35.95092809658256,39.00598220054635,41.82700051785474,42.08526342541848,42.93065618350893,45.41452850939264,45.358297452996545,46.959394072949394,50.44121281189808,49.69057529843961,53.90795675961235,54.26095827489996,52.406888920042164,53.25956200978935,54.63807380898678,51.30201796517058,48.58741024228622,48.718616817568396,47.96227151140737,51.154546701297896,51.804370121426366,52.555833295383806,52.418495459081115,51.20558140383421,55.59365219800566,56.424112015383244,56.52103852899584,55.97531598950565,50.96339481195363,55.37367818534087,58.0617139713458,56.107969351629635,60.02255036320073,59.537862485411736,63.814539435185736,62.168713274003316,62.64944908024301,62.53861544978943,59.19666076285894,57.37229330338749,54.374447723966796,53.71674900472332,52.61308486805088,47.854460522321965,47.461557199254166,43.42363672464212,42.09258614214287,41.80674136778249,39.81196366580639,37.767556082797924,36.877791360598295,36.86480438833982,33.333342505585904,31.51934221566041,32.424786211114025,31.770251478757654,27.328871579354946,26.743609336553174,26.70047741789362,24.265021123309513,22.028150981656868,22.77307670014062,25.489465243438726,26.720815608919782,31.14415713436986,32.21425051498601,32.832690620025495,38.21011190096938,38.59132411512764,42.50299374259166,43.68598759055177,44.95785271013179,48.29622278300857,47.6981483769765,52.02377648015769,49.92415741877338,45.46190357473504,49.2688332969375,52.25895431049386,48.14390364289129,47.62417290681834,51.979608495552185,51.28387941167376,47.23466209311541,48.971992519953226,44.14126178041149,47.23090368389292,48.76760345908032,45.619088573509806,47.973876783184245,47.36888279586043,46.74349416914156,44.348081780042506,42.37153990214797,42.45255939615639,39.777709541933184,37.12163588856488,36.204019337088226,33.97490132226189,31.653481780968626,33.73409325027851,32.041946184252375,27.64290489445757,28.99716644509865,31.735297255875054,32.78861772698625,36.91669529741976,38.691822506897786,42.03385591922423,38.41658932842124,35.56964648571164,40.67779918792454,40.52470182262303,37.310980420805436,39.34315411702572,43.88272123915178,41.12448420355863,38.19700523811306,42.76966833247746,45.37980831788487,42.42394079802956,39.827425908263024,35.72189816950261,38.09248174414001,34.338095068854585,32.06657448976287,29.143931824639367,29.82835483732784,26.54456779994087,27.14723399996147,30.630441139686003,33.613875757188225,35.97221190916483,36.27135381160173,35.27834002209076,38.856359155363705,36.516040436147925,32.74675561380321,35.8557408944893,35.00552892883448,35.04319009455353,32.61877787058675,29.51526596543447,29.4226306772014,30.00314586251591,25.543755968819628,24.77684277685241,23.579449364278105,23.61288137675996,24.14188744565885,23.178862807136966],[16.966238345601624,19.604954269001254,24.222168398962793,24.885467854588274,30.517766633230238,28.66205605919343,32.33158196472081,34.50293704446112,34.00230631331738,37.48107400402691,39.102606909935915,40.28226353940932,42.63441398743958,41.173599461665944,45.48227265539296,47.20613855145074,47.03552357546411,51.45704163782507,54.128680818337656,56.67593679699655,60.05823981075997,63.71421324851003,64.72415580589406,63.83971018691944,61.067426193597726,57.066765375641936,54.86778846522525,50.981526931534916,51.36122687400603,50.150977033997506,52.653969625546374,51.373257292400936,53.96224210364097,58.37679198028362,56.82111208507602,56.00306264039872,54.45392413121563,56.220656710510134,55.95498254141286,61.058862911303805,58.573327671088414,60.198278290890585,64.46991664473678,64.8646949939051,65.65775628450174,64.00606012059416,68.16719573836647,68.7033124167174,64.01856309495228,67.33754120296082,70.26716346801062,68.766426743099,71.433759430124,66.28347145902869,69.54567742711201,73.29461227054325,69.86863479947223,68.34566718485746,73.23509615984658,73.96227360094969,69.81243921623839,70.51783625883103,68.198909196581,70.16258337517873,68.26412404480715,64.30185208632328,61.380816495650144,57.927721189982115,55.38851710158308,52.38039600791617,51.750863083228204,53.31736178764138,55.25292925589305,59.32337214750266,58.29248613704955,64.249191923617,63.69125599924805,65.77227560263093,65.12026609327144,66.3332384444271,63.86165170382461,63.567731960834195,60.156136443885096,60.91693485774368,58.454868207442985,57.46208646963915,60.09700747144931,59.80474242260694,60.2405448906903,62.177656918667445,59.93743246839302,62.25361152424621,58.357595925847434,55.696244748202226,51.20649596375471,50.49289719638225,46.55144351753302,48.67253359128527,45.614122172026455,44.87592665119338,48.97538778377643,46.8327900805692,50.56932884207381,47.60141650163886,51.02234341849629,45.89772095260274,46.604593633912536,46.12268947940531,41.59396108807366,41.588578746670834,37.9315408320174,40.66661576330873,37.935694005592886,40.24663757389333,41.44435014850326,42.20459151088612,45.88867100761991,46.78328956687609,51.225675858510485,48.9746775348686,46.038400774676724,42.885497744413684,40.871116583218125,38.68201386698809,35.941825615704325,37.79382770108105,34.910237644963395,38.80079860735449,40.005637068002436,44.740733106187115,43.49614263750553,46.945160770020046,49.217269755854794,50.13880696325851,47.43078155045848,44.32803106077799,41.29478571439027,42.28896397616514,41.88943397829335,44.83642649540932,46.95297871390916,51.77428234070254,51.35272946180061,48.95165099841352,51.94805575135959,50.15755300515998,46.93444858442125,45.35493498604022,43.73601161571902,40.15633321184088,39.49820857506651,37.701903747664616,40.0585550567989,36.99490919651607,40.194943617009294,42.70525367840716,42.84546873226143,43.32917103139047,45.890385902604855,45.334117819348755,46.73293094083048,50.48307991188819,49.413796309700494,53.67920763966953,53.64609788944737,51.6647323647357,52.23192517141209,53.435278723868734,49.9425233100464,47.46198102529768,47.62548544240194,47.19831016736383,50.516712445199715,51.34732679589219,52.34666528142826,52.33000658237046,51.44255729360666,55.75315436479742,56.368245217351785,56.2884338005151,55.498014183429135,50.44444501761442,54.56540690520514,57.11855053939791,55.25035295980941,59.38880707144044,59.1623780630267,63.23632571116021,61.492636371969716,61.760304988901645,61.414462018590726,58.18333740021517,56.09292888800766,53.01522236704861,52.23324561054793,50.90561769545964,46.2024082411392,45.744872752384865,41.58822562711126,40.593044171443,40.02373835631554,38.37618502747693,36.40506010782489,35.026079963504266,35.04568212863034,31.847695551590334,29.666782078990845,30.324893663823826,30.057226689719112,25.699592284771853,24.653014472633256,24.592699110755156,22.718988707348263,20.17193043713381,20.27810921816291,22.875503176719082,24.056490306456283,28.118186615566717,29.519299306860077,30.13472724275084,35.4211780507032,35.700967999279285,39.680418430321566,41.210654710634024,42.591877890803666,46.069953254807466,45.74052098988874,49.88132441204082,47.52061073731909,43.24077948215317,47.19430601931003,49.892225044071644,45.6823296844112,45.40502347065462,49.821095590169215,48.769171827442605,44.736737691671586,46.87755577013328,42.05536599761793,45.54662318027098,46.98148445945677,43.89655691613061,46.51235315736637,45.95047750120553,45.621460082983354,43.11605591738499,40.937390986924484,41.39208969850413,38.82931235222575,35.80700655687919,35.11806856238713,33.14604691843375,30.472826336996988,32.30115479251807,30.92730131013423,26.63046254909364,27.36354217908147,29.996252806693878,30.797184975959958,34.99940373952686,36.91551189962958,40.00079540351241,36.14209018538151,33.411495375219914,38.514356874406694,38.01513833877698,34.75445193966871,36.97125159552152,41.273109616991086,38.23710374473378,35.48899473446651,40.19485316732471,42.527101213302366,39.37978669405692,36.90345302033417,32.91816743054444,34.97389472614203,31.269582412880244,28.89282024391772,26.333932670895788,27.326869019402643,24.495089771401037,24.82562552121644,28.32825080654814,31.07092177167407,33.64767153271974,34.04679777188046,33.57999854490592,37.31930437189118,35.37081555247394,31.603873823387534,34.997737510429246,34.09063668760811,34.666944178607224,32.04412274173326,28.641208864646867,29.015563235048585,29.948619436704096,25.059914868346443,24.11167380625724,23.322519369769754,23.246832220270917,23.46377712793024,22.2621785331111],[15.045538730778215,17.414567409459156,22.020030526057354,21.859230595494427,27.661830239850683,25.89799670288897,29.38150905032338,31.845673142091638,31.070438772297972,34.26697513932035,35.95587678535488,37.451284020528604,39.51769127826044,37.801559809559535,42.241236521194246,44.050104255720115,43.65758202071768,48.01465757643166,50.487874433207416,53.16745230668953,56.440222585008314,60.15203684642166,61.041679389796265,60.08873151162096,57.41679252246779,53.38168514907607,51.31637201951247,47.47100790958631,48.00521633407553,47.01824290258604,49.47099940779264,48.46553626806934,51.15548379046277,55.4478022440414,53.838489474686085,52.82003495922252,51.46607856219029,52.97109885895046,52.66438902205617,57.90086540937526,55.17738108206359,56.7327725627243,61.07205669070094,61.39907844536092,62.082887348724434,60.47806518633152,64.63468647999144,65.24014653128444,60.67550418994922,64.03268491375945,67.02595504754528,65.65361416579105,68.29795255767124,63.1171219789367,66.51026078475259,70.11688061509413,66.55299724974347,65.14026951010332,70.0438904152473,70.60406141795981,66.39705501123085,67.13345622323176,64.86112696288964,66.65981412063901,64.74217759127589,60.86435908455504,57.79575494527238,54.4485001869654,51.75244129326276,48.84865988170858,48.09001776810024,49.634396084622416,51.71460545743493,55.72898871583387,54.883705637877405,60.89501142718511,60.3642786745089,62.606204577874735,61.968103772585444,63.16007878982253,60.86579560572453,60.553448637508396,57.35762612617031,58.09435236789573,55.457171876901164,54.45676138538113,56.92511743586868,56.83627141586016,57.02950951895126,59.148461152941415,56.76655516167393,59.07104069498055,55.231540468777446,52.7138349542778,48.169472902227646,47.50750362980274,43.48743841275075,45.87764094992215,42.92309379328799,42.60553453936327,46.43081825474202,44.58283370036451,48.03250751835796,45.294899233067866,48.68585157281421,43.587818434921374,44.61708606302601,44.03623786815997,39.5027627274417,39.46934612545834,35.59209548798674,37.95612162017767,35.04608551968362,37.09008980576089,38.09371829536417,38.663406501365834,42.31047255927629,43.06078184319963,47.45490338583416,45.34873405291193,42.32144624873406,39.24954702848212,37.12311778801223,35.08613723561753,32.541176301630934,34.53367882381955,32.07840997939085,35.9799583035302,37.450409807656875,42.24400535596333,41.05392007087377,44.72775913253489,46.7191925262651,47.68788686545419,44.68658060725324,41.40185400791761,38.38878458489626,39.039072044531835,38.40160592166265,41.373380246562434,43.24605668828842,48.075933321139196,47.7119576498701,45.43246177947904,48.51492505384053,46.82675246752104,43.597055741909145,42.211004383857436,40.813142259414924,37.30587660561084,37.02894200463172,35.302581916482325,38.0826777516733,35.22715109947589,38.09993590951201,40.475245038856244,40.28722307991087,40.91147061812545,43.1547323198171,42.71156888262309,43.80085464192632,47.39788815739411,46.14806180099226,50.51024821984924,50.46296485345664,48.32783714573072,49.1239878819094,50.252833327342834,46.88788292902109,44.258174345334716,44.57361223859878,44.01693569902969,47.48488235054079,48.42917879187577,49.47729312175452,49.669526560397145,48.64375494252728,53.1673524689937,53.57624045512149,53.66613467409508,52.681338474567696,47.84219467437087,51.981736915864246,54.48074073257175,52.42983729692609,56.38929111851028,56.00015065017094,60.100890914290495,58.16196434859135,58.63908374097709,58.37728720324189,55.20698463585735,53.2708050118533,50.306014275885914,49.72413968237264,48.61270617884544,43.852192584348586,43.70505363570846,39.680619833586384,38.70659477433585,38.60545670315,36.9799749112785,34.63421495890302,33.487352394897066,33.97517883629849,30.5217407825603,27.94265176630784,29.247992062516968,29.409403443071056,24.438768513475733,23.593317343371204,24.182807803639264,22.03468672807084,18.96829391975999,19.85788172659086,22.08741934946735,24.18637320427952,27.565486701021676,28.96898576105883,30.131315387046087,35.503923210261526,36.349919198129506,40.05837229037224,41.457185586436026,42.45786828921574,45.87247478568798,45.194575957727615,49.346576310651805,47.10461289010338,42.43799076663592,46.25170241697142,49.02027024799893,44.70485621323112,44.142808925960686,48.47116489038234,47.49429033503348,43.3284532612393,45.06553621243255,40.46550994638596,43.927437247636995,45.666872622161804,42.894243560111256,45.516347855575454,45.39283299637233,44.66491255678933,41.956715238550075,40.31570623771291,40.83675201501106,37.829013188478385,35.019476084485774,34.75545431665249,32.66684187112063,29.83233905288752,32.24855428139624,31.10274745303113,26.52378455126078,27.475556896530648,30.505751397367234,30.982559209204602,35.12357892077777,36.599866775648536,39.84614826346722,36.259149998962144,32.935973915959835,37.95470244109644,37.72031126213599,34.32251786259707,36.01435704032654,40.6805441140042,37.74692565394051,34.49166336086242,39.01644561880001,41.72713324314145,38.59720921104401,35.78404239628476,31.51405286102688,33.76581727586078,29.808690338611374,27.95730539858501,24.765437862071522,25.852524175233565,22.620246234713846,22.627273047779536,26.165141621660798,29.026468445405943,31.526648699302598,32.2545914752092,31.332655174880674,35.175478181623085,32.862045965382016,29.442613841702713,33.1535270408894,32.67698130836513,33.03639871528307,30.011402812352337,27.062407573504103,27.696718604929146,27.919748088245573,23.00544302573632,22.89329127170801,22.435889103912036,22.631289978742448,23.054617617100032,22.019072479298273],[15.637530100814427,17.160086668233063,21.257982768568265,20.961892542589833,26.643923364324067,26.12055843639628,29.661326161831354,32.61570269358586,32.21891084178277,35.14549918573456,37.2579916827221,39.001447016902254,40.41583893914108,38.7386858501851,43.457713321111584,45.1002023808317,44.220131838963034,48.60008804147587,50.72351263878458,53.34474741034973,56.50854976759914,60.04983716270515,60.84603389110691,59.61176941974683,56.97381651282125,53.097750985085895,51.04946195103797,47.409195777309066,48.35000926856992,47.6564626458444,50.60378426221478,49.598949115389765,52.62618945832535,56.78179748383562,54.834781494500376,53.51286771925796,52.08189604630968,53.10797862586245,52.4611384452287,57.50412258278025,54.554906272681635,56.46907660719372,60.792998360455606,60.79639660703062,61.24916323995959,59.3773999786192,63.46312772335017,64.37524564987447,59.79946771171664,62.831187536392854,66.11935931541886,64.85621571629477,67.71598093239946,62.609049861980736,66.34733535941108,69.84552424969067,66.25993834861539,65.20483286352642,70.13186159542538,70.3968002338373,66.3851180998173,67.48185727088983,65.46854143065973,67.09264356865981,64.91454500828692,61.14520341166814,58.19769831449489,55.08249549183982,52.33946917028377,49.77504361008307,48.890177696209484,50.62712902235319,52.83245788638778,56.58849039927856,55.89123545389815,61.98161528794425,61.141931114741105,63.63861317158673,62.73330058981117,63.63490152908446,61.31422701157003,60.61888764404293,57.58260105611738,57.92302417172077,55.1104040889073,54.51331131172027,57.084137807713915,57.39153356702887,57.60714375540942,60.19236850261014,57.871469354060494,60.427832628723685,56.71924327733631,54.33568280895486,49.68578807997016,49.350269367041186,45.19614313400646,47.53522310598341,44.53167440295441,44.467746894323696,47.752600280317495,45.69726073406655,48.78805912149966,45.78085150314009,48.61143291357595,43.42596276055742,44.26709840659547,43.2395186253439,38.69795017931344,39.19181879750934,35.290630853709835,37.680434990850905,35.12597454619921,36.80392622435944,38.170182160308414,38.35606283308819,42.18950645881165,42.557140515839095,47.3068747089067,45.605822145298426,42.520621615882334,39.541134264462606,36.894124255780454,34.90985497879103,32.488939531264414,33.850732426089955,31.671019029517645,35.2068526715695,36.492097586531216,41.39194349848901,39.59899216424594,43.325394284616465,45.16216477677016,46.6272008767177,43.3141444538135,40.25758304874283,36.72276895846411,37.602463199213354,37.035773499039756,40.32809708413248,42.03794969228244,46.90535626014915,46.97014814306153,44.729519670320855,47.938816464321704,46.68180873824387,43.37262651201834,42.33178648600702,40.93721797269098,37.798029845209,37.605131186651334,36.50723559423739,39.45021185769594,37.25793151335525,40.07602953434328,41.998257989305564,41.48400910038444,41.75196240927136,43.8615531545757,42.86619207605719,43.45707070038577,47.26356939382654,45.45089655286828,49.91987609202285,49.31404822757557,46.872176822020016,47.431542813168505,48.20728750041171,44.725378575496336,42.356443077372866,42.86126637946418,42.7036093382871,46.452600694909684,47.73378673693514,49.14820873139402,49.64365901419074,48.952789347220914,53.47978231265791,53.47149477477746,53.44422346467528,51.99956478580802,47.29390510916244,51.0080869889015,53.25724538897428,51.20657902849414,55.32349536226161,55.171764008589506,58.98523410520707,56.746679177040114,57.08909135156012,56.54494311287421,53.60879971773217,51.40476476596796,48.4252974358355,47.811268694437175,46.51784575600236,41.832816796193335,41.8184105109879,37.737451302248154,37.316760098757854,37.09617130942506,36.03052248520097,33.586760241620574,31.855968902975313,32.69723418650458,29.652235905980348,26.273913173976716,27.60341944970163,28.635442033690556,23.54703251482183,22.117291615965932,23.087778244301578,21.714461169324483,17.964779101624124,18.26851262657061,19.925703132823966,22.50642673024965,24.66694113620069,26.67167424039106,28.16469399609963,33.3475143746122,34.32595864266951,37.959322820239485,39.82755146011573,40.78214564229423,44.343335048981395,43.882215019175135,47.72653611597711,45.167147597885396,40.596259277083675,44.51968486324337,46.85085738847008,42.34253190902216,41.99296986229011,46.32907395676471,44.82237649050126,40.612217247279894,42.7256763849993,38.336907711633636,42.38170519602381,44.149444980778966,41.68911423125504,44.668355966174005,44.84721601518651,44.32117604396685,41.37725867304618,39.77097120423748,40.8313487201022,37.78222293574021,34.630444512472664,34.90481564189754,33.13541134818354,29.81297182125651,32.131449685121005,31.542049718009714,27.084557096584984,27.27638335936053,30.274106402578337,30.219472880495296,34.35852761853264,35.7844699047233,38.69558477064783,34.94008973520368,31.513384946443406,36.40005419537638,35.77577804340766,32.25988298951266,33.89572135958375,38.354573926464006,35.03240493137178,31.77544480325858,36.36496791371573,38.82919135443464,35.37553500752127,32.55168058482056,28.314115062109156,30.054811479488315,25.987338744246074,24.421772800770615,21.467240298951754,23.26113755978042,20.615747367897935,19.779240220948136,23.336494293722616,25.784328738335255,28.63006958154592,29.82002123213992,29.455662747661588,33.587313035810006,31.64902612280994,28.555321563406153,32.81905636984453,32.53251297321071,33.48204856633893,30.018563899197567,27.00789868808654,28.39894614643519,28.672323540984454,23.33446541498455,23.47202297569898,23.73256383083108,23.924047189278312,24.0351021128884,22.804178736237805],[15.214989727880207,16.004053506511465,19.632228219861407,18.763170473100654,24.34647919619246,24.54317350187868,27.945923806208746,31.258000387687325,30.945415280148787,33.55993729180548,35.91555321948066,37.90377708388064,38.82123126943156,37.08922926225892,41.97133516546439,43.53541015199057,42.30963864925315,46.65203696977714,48.513132764778724,51.12918703396494,54.19041282686166,57.647265573939755,58.35837158668363,56.967667188268365,54.381229504350884,50.58904934109676,48.59900918818365,45.096318053435844,46.30194752927348,45.85582914484539,49.037958367019236,48.14431580576183,51.37946341403654,55.38704082939114,53.24420223812517,51.68770401847562,50.302096924318576,50.96629658482488,50.1329546059702,55.11694298360575,51.97091870622966,54.028609479640686,58.354815863159445,58.175272839498184,58.47939295225999,56.50609794027743,60.54883745657665,61.62274204055344,57.099793854364634,59.99155372866181,63.43083195376201,62.27821633945406,65.21991198627119,60.148461272781496,64.0976879805296,67.47310069864552,63.83015206483038,62.99743380245201,67.92868718331717,67.98339215817738,64.05778078422684,65.347363111884,63.493127416190816,64.96778470292207,62.6514802401534,58.977628484397385,56.06258889337877,53.117450287974826,50.32067698800374,47.99242382197091,47.01239692204529,48.860842205937054,51.14994659945542,54.719747093369634,54.15479996673529,60.28073208288723,59.27781405563134,61.95984379254565,60.91740766698132,61.6548685603292,59.40092699531127,58.50781608205475,55.66037700799682,55.79537202265517,52.82822169552874,52.428012129801395,54.96803279054907,55.561172138675275,55.68998187004968,58.58436343253923,56.25500920050325,58.94084434110977,55.343811343454945,53.098636316119254,48.39709364526266,48.275848182872764,44.04568179485769,46.433263068337894,43.468913313415385,43.73043064723428,46.57088504664505,44.56426683603766,47.307105639375,44.301514944250734,46.822736878086324,41.64888674448763,42.572526353369945,41.29094652060266,36.78437891251833,37.50548451923271,33.51432423151815,35.68873833315929,33.253304319697506,34.596414696281535,36.05714309474204,35.962103433722106,39.85394738948044,39.97359112322772,44.87452629662513,43.439239012668196,40.31867864232503,37.433800214501204,34.48797326453402,32.59720552235426,30.34633282116971,31.421547690300482,29.621896272058986,32.93620786297219,34.26335894599439,39.201906002303836,37.17507964857071,41.0284371658504,42.62657162148432,44.33109943347374,40.73664210825314,37.709201583418576,33.96410631198568,34.773063694063424,34.14003998965014,37.576462152830366,39.10943401044009,43.97834921795817,44.26921834428174,42.10115984889322,45.39048447321359,44.396442538462324,41.06359317581907,40.29147318316876,39.01069808468017,36.1286221392981,36.169986653585596,35.448870956859025,38.65014061286417,36.94026871562511,39.52855390127513,41.122991930433884,40.28538187253394,40.4319739741022,42.29880917742356,41.08581143084849,41.271271233817686,45.085257702270916,42.92413723977344,47.46521660455401,46.59086615598979,43.95021974817793,44.50552673076592,45.092004146089316,41.63286127156548,39.312734034480066,39.97299086812098,39.93524082783762,43.86863052495516,45.35772946688454,46.9639855145288,47.70641372583386,47.119048546865635,51.723585454391504,51.41081353772768,51.41121814672691,49.658850568923725,45.150221904275284,48.65707306483028,50.75564247164112,48.61883333973514,52.70296504822145,52.58538172378527,56.26780849040241,53.81730900827502,54.19140304376295,53.568837856806994,50.76787024639926,48.534841818181135,45.61843748494785,45.10289536292469,43.86234983435671,39.19935149683472,39.42577514456849,35.43380710213646,35.2715396277215,35.29415955796706,34.50022238164271,31.813294360326907,29.99195646170018,31.279352136182126,28.305789432932503,24.370724318125532,26.119055303429878,27.790542266647996,22.38859961900523,20.87467420078167,22.424881978469045,21.263011675130258,17.036375577885583,17.60652751160873,18.658843396896962,22.006311011631173,23.121183399176996,25.30757451007096,27.28627804926688,32.35715771370827,33.77745473385845,37.13255292080672,39.05070554916707,39.71594971221784,43.253449953086424,42.652355809124536,46.350436349053396,43.76936788004909,39.01950965294713,42.85925522269138,45.048758206846756,40.4324231367806,39.98026389147103,44.22966014160681,42.57989424966891,38.294460195490046,40.279956159108586,36.151834787151735,40.38770706250506,42.34197621627511,40.231242731325935,43.33752624087633,43.91571034026086,43.234454771208256,40.09281793299173,38.853047603939736,40.17321050562739,36.87382492496873,33.74800165253389,34.51597353957362,32.84601663627129,29.276071398619372,31.871660635351013,31.668912371977704,27.195553417200255,27.19849691811097,30.36584699659054,29.889886010606574,33.90790382749269,35.00299379977249,37.84397752342046,34.25842333302818,30.44992820251894,35.14832819929089,34.56024925925117,30.958016166885006,32.18443894967788,36.75672395536431,33.40676672370196,29.831461258883717,34.26459406418469,36.87641213588782,33.35997228603751,30.321283528172888,25.945095620615554,27.631520920125784,23.389157963806223,22.357154719777874,19.057749940226987,21.184198939404574,18.59699018030349,17.13352042602758,20.65198264005132,22.970371566008183,25.873222490293188,27.466868132478197,27.05834840363109,31.33644030020321,29.37677164307588,26.700763740871327,31.347208010987995,31.412121009425924,32.50203996919121,28.652804552109203,25.947096711867776,27.821057642192564,27.711677983592434,22.288924755169525,23.036980354678203,23.838160825093816,24.205276121659743,24.334564067162543,23.222790528190817],[17.180682788285573,17.379491847472554,20.443745121808423,19.07396621269316,24.413350613530156,25.385550962416417,28.596901179318202,32.217097951280316,31.938640780344983,34.20181907667625,36.735153811783526,38.97142586987617,39.43085696869949,37.58252576086196,42.59128751497783,44.117780626305176,42.54299594189539,46.796363295324284,48.32288661932131,50.982687589274406,53.88321520888606,57.266997997978,57.8348039994216,56.24783941052137,53.776995952424,50.07602440180767,48.21279625900065,44.88657532789038,46.392752266925974,46.23482550875265,49.5718318012537,48.85165936450511,52.25008604398794,56.096619397464494,53.79774409012437,51.99942901054775,50.70551707436266,50.971147208011004,49.940627499490574,54.85768624982611,51.459535535260365,53.657107356976866,57.98856656798618,57.586815974093966,57.67917765183649,55.58790139001332,59.560136541079,60.862680859054365,56.437144760358606,59.139067828828296,62.776399761417196,61.768446450263234,64.80443565201745,59.787093396592894,63.975426338481775,67.19062164675705,63.4737662518099,62.900865144277454,67.82293155995731,67.62152593660464,63.78233616595422,65.26508895766156,63.575353073179016,64.84642093141636,62.40520539895952,58.86834330077972,55.92801401285654,53.19258949448415,50.28154539832165,48.20645880665289,47.079530093147774,48.959446719476745,51.39997309049659,54.78848313669934,54.4322202389216,60.580494780242226,59.472747333108494,62.35066296478597,61.20605626380335,61.7900870126067,59.641902602608766,58.5531949784609,55.92619860664525,55.84092434384766,52.707708276852465,52.52226334060328,54.99699649456803,55.89835660114226,55.895266470517114,59.08741707348716,56.715952716431254,59.47568269072395,55.99444850566762,53.91003770337042,49.18360131221365,49.2154601731026,44.94085590653108,47.438563208949695,44.54944059513778,45.11454828297101,47.56926558236311,45.63676388279219,48.04641505403741,45.056932111622,47.247821923443304,42.10582055153465,43.06131237702964,41.50254705086528,37.06089903225371,38.054285192155206,34.025507171065996,35.9822285810208,33.693711402777126,34.6513753370437,36.16262488233044,35.72207499308292,39.630437705909046,39.41913492726075,44.41982287575886,43.3290434039849,40.14849573021404,37.42152934695397,34.15640773687074,32.456315086986194,30.470496278785383,31.24249329078083,29.910663842082574,32.93440191691737,34.26657866925729,39.21338804170588,36.87235515913335,40.8153349811728,42.15272514958737,44.171526926895446,40.27243734849315,37.329687812586194,33.30998199724664,34.043334456520455,33.29955635991172,36.91649082716122,38.13429379485755,42.98307490047681,43.585645558151754,41.55585011189545,44.94158027143775,44.27037550546605,40.931641848357884,40.47873020125587,39.34726746160989,36.743634432393335,37.02065247362997,36.636419668169715,40.037566931475844,38.704852568140346,41.094540810408056,42.426843407786215,41.308255279196494,41.35955514670426,42.977626061552506,41.565881703826484,41.31504706989076,45.10754982124183,42.5425731905687,47.156355277608164,45.944394947752144,43.03258698263476,43.57256880517907,43.8597041839916,40.43039152808585,38.2252831831189,39.110533656181104,39.25936080262403,43.41592633104932,45.15612769276528,46.98016962377767,47.988656725025606,47.50895885486323,52.17714845214398,51.54589550633065,51.571395426524965,49.476699812347235,45.20505776075401,48.43643985812069,50.33657068932587,48.12053864656745,52.1663143838597,52.09588990849312,55.596202552453036,52.85407992506506,53.269637147119596,52.51545720599672,49.92488861510219,47.62179790215286,44.78462411874786,44.36101714183967,43.12119989039277,38.53613496911546,39.005872227768734,35.10254502331424,35.315427690159524,35.465464774103566,35.03431124889377,32.19287299683994,30.152753346444094,31.8173791527795,29.06796215530979,24.601937398318714,26.578067042642434,28.863985599871196,23.385510965440325,21.672658424642538,23.59585371167523,22.817971869833563,18.312087030079596,18.760905077696826,19.235688274367668,23.009605410585117,23.01200661989086,25.5574513780409,27.868780881633796,32.70478110521,34.32907652786606,37.506332222836335,39.65010707115535,40.166022265136284,43.72326157752661,43.147383898395674,46.618078886638045,43.910051876551776,39.15420230975342,42.956797625657344,44.86433752203523,40.13729420099013,39.72230844621648,43.884563573671365,41.9201511656216,37.60056310713036,39.64630523529839,35.827892484327094,40.36691490229068,42.436736720437615,40.664098560831164,43.93501759510296,44.82219948140493,44.12267614189666,40.82493081626955,39.8110762883148,41.41132206119557,37.99869508576603,34.82940423200487,35.98586293186369,34.466228989199934,30.700690276299117,33.35409729315747,33.47611043589493,29.094030634014917,28.804035664675652,31.967511820566326,31.152893720680737,35.061446803170625,35.9804440243718,38.629858162980916,35.09262725938955,31.131701922597244,35.6155919622608,34.88245917572663,31.238207756383993,32.20809000651094,36.68512084667214,33.16177444183854,29.469713680835206,33.78099713389489,36.31924873479039,32.620825927057,29.492231193748204,25.12129606594929,26.406482955132695,22.035889424381455,21.581030212366645,18.319068864816,20.999403190389522,18.800386168892864,16.531750764982423,19.909697667178143,21.843099111391478,24.920410758575304,27.017524736140548,26.792236738908727,31.211301721981123,29.35518059541794,27.142221636764678,32.11482413843762,32.45192833222194,33.728777560831695,29.595516717079327,27.131421839271702,29.403531155762085,29.049762238948745,23.620779241545648,24.761449022860262,25.931269696582216,26.34841908439165,26.39703490299454,25.30501461198309],[19.059875843482384,18.582641296542494,20.85454728434546,19.428403680562326,24.220751231101733,26.23442107787155,29.3262143163916,33.18726971209641,33.23870045871774,35.234085447477945,38.036140710126084,40.37855867958731,40.32144490800934,38.591543886908255,43.69863502371272,45.04018244590462,43.113880014257134,47.31633933738425,48.55400964366072,51.09159044261129,53.87961411597635,57.06056099397597,57.566541738940124,55.7683360039667,53.33366274186043,49.83094857968448,47.98339025589479,44.88784710450502,46.69631391602462,46.76457151191958,50.47426375270777,49.73023746664964,53.35030522794303,57.046399499730605,54.49741688264288,52.48988597116001,51.1278931098937,51.006919981463454,49.70344720252282,54.374134026875055,50.84673108849444,53.338138316606035,57.594558848681736,56.92904695577247,56.83644980194674,54.52613895742795,58.39802743947997,59.94380187937069,55.537425347829235,57.92857786529817,61.782016638276616,60.862033020166876,64.05782137619624,59.15310634307027,63.58320238675628,66.68799858520242,63.00194033356352,62.727372391341454,67.62188086327632,67.19054246492497,63.56041224115568,65.33711376109385,63.88148861319071,65.01960035287267,62.375331116588676,58.9541057477558,56.18490399448464,53.66475857583626,50.79377514985576,49.02399227152111,47.842559344918286,49.878372154875706,52.344258716282695,55.472178854148545,55.200788549967925,61.338342437239454,59.96449591875335,63.00720966398436,61.642297599053464,61.974616361121235,59.80840372792536,58.410460370200504,55.93487130976164,55.51955749652201,52.28530442591161,52.445426368417465,54.9882283781213,56.19657276049244,56.239000724595236,59.76882417484587,57.496080853062644,60.446549817851896,57.106906111267165,55.138511220722776,50.39593728349006,50.69777787243408,46.38990879098866,48.76401193347641,45.87380363610989,46.60321200534518,48.596870850111365,46.521408412986986,48.602913261070235,45.444068059973105,47.130407554564,42.018040775898456,42.808207378412575,40.901330490025245,36.564634599136866,37.97728986822154,34.04393407599653,35.951971774094226,34.04505639985324,34.66571231225991,36.46540709653832,35.724367763732964,39.7020384686847,39.184735776157524,44.412210987949884,43.66551178307592,40.52629195994348,37.92873904063216,34.32119953706218,32.69240780317498,30.864305616668286,31.025889070543478,29.984489065720073,32.56438362805524,33.69299456641661,38.5972833303176,35.7815839654305,39.69307353618039,40.848259649948574,43.267733534368624,39.16241668297711,36.49318980006614,32.10158024651295,33.03361576486255,32.39610444798399,36.207320606089,37.288156144099304,42.071053904691624,43.03163971434715,41.05651575294225,44.476033680072845,44.18475089014239,40.84709979120027,40.68563581557561,39.57058094806977,37.34389413176353,37.67264424759583,37.80098537481849,41.23645003795407,40.43279581939969,42.73924616664524,43.69804269089159,42.35605806545658,42.11434919929829,43.59719470956024,41.7535234400429,41.09021288274119,44.99312673155929,42.000437479200485,46.6164131598185,44.933759954221536,41.8103417547351,42.11689646215451,42.08747140679425,38.59911697666477,36.67820098434676,37.7158129004132,38.22978218689895,42.547264071963724,44.54782143245698,46.65417490648562,47.898223050969435,47.7127464865726,52.303658241442726,51.33572767034334,51.25910298398705,48.80617731004669,44.720688669272285,47.531785204499954,49.187569558941085,47.00197940768665,51.13255342055441,51.27622712892212,54.4856522866079,51.53118417792366,51.810016424768094,50.815632902294766,48.45795245498961,45.94793315289905,43.139141102771454,42.70082593669973,41.331578057438996,36.89624147719974,37.506993227458985,33.66424166168069,34.37688457959209,34.474270231735886,34.54504688747268,31.675993365298975,29.22456131545193,31.20855911495469,28.896314802799427,23.898269986366696,25.896124686035577,28.883471582815833,23.55565162966742,21.50515539179389,23.731023968145525,23.58976523605425,18.90699020426685,18.961251816039287,18.731915168323713,22.82690477638784,21.49216377424724,24.45386522977379,27.06951232743099,31.539931739511047,33.3606634227694,36.30236791069634,38.73589901855012,39.121322156742714,42.70414090619668,42.25783967428529,45.40851481506718,42.51038000296519,37.86951568182009,41.656990195818665,43.168475775376756,38.34663549813075,38.07708995363328,42.15269562446304,39.769194183468954,35.466105159408635,37.74936994969447,34.24396431317512,39.18919885328791,41.27662083562206,39.85089433959093,43.34611938099877,44.51558584891983,43.94332681123503,40.50614191402493,39.612735291673076,41.60643061573204,38.20315516111165,34.8866528191592,36.47697992617058,35.235311366650734,31.23025672236665,33.77796439354448,34.336609943186666,30.190290836927517,29.395320171046723,32.450787934831105,31.21348538802842,34.95203498430445,35.72531893618403,38.051002880845395,34.54082098141698,30.532891530332748,34.72099592363216,33.73285772786536,30.089597015503593,30.85869059229462,35.08632742259489,31.346437146995594,27.655654769435742,31.843541242446424,34.17402027194516,30.278720009027595,27.1428673599532,22.89815752143357,23.65287561140226,19.24284991424842,19.345453189532776,16.3629858129236,19.671297874111016,18.214636763978888,15.115558194939032,18.20733734814536,19.55503910671584,22.85611098612855,25.411298965701864,25.682303940248687,30.20056536709897,28.735925229763737,26.958042078764745,32.205805307524585,32.72329188013354,34.40671532596567,30.065215573118113,27.710139016478927,30.472126240364894,30.13867382372508,24.68979550996195,25.997295763220322,27.625146316440265,28.037181731266447,27.910277532750925,26.83208123028728],[16.643205096504285,15.417909248540944,17.00113637998751,15.003654115647103,19.526343278781724,22.026703034542944,24.92897127372878,28.95390841838822,29.17832110155868,30.977105697372853,33.965675842781984,36.350165762025654,35.93906375235219,34.366338076865006,39.50385948174418,40.68151563962302,38.60783588481141,42.82182168853157,44.050849079472734,46.44320373213686,49.27178443284949,52.353498392057055,52.93932318773377,51.1603316600103,48.62913175510033,45.190279806816044,43.242357075494986,40.186724258219535,42.05033253348196,42.170535103960496,46.113473589091726,45.302941251145235,49.053318142365406,52.657097771470326,49.967229492134294,47.885629937241426,46.46670274549912,46.22965284131496,44.85795434206064,49.46924766545831,45.97700602287576,48.54067063784825,52.75941958860664,52.08834880441737,52.0507765569449,49.72715709096809,53.621261507694946,55.1045573226629,50.64882870731075,53.06465514335704,56.8802003560656,55.945151081418516,59.13840155294099,54.23748486980056,58.683223243346205,61.79016476097142,58.133071303801735,57.88806634176621,62.77975011238823,62.35000323786408,58.77962899782336,60.63554209402899,59.25326591947784,60.429161120936634,57.71020016060976,54.274374038254614,51.67456323520915,49.184199779249695,46.45735517973629,44.80168793842767,43.70500640022262,45.94091790827219,48.25784935961804,51.24264464813982,50.871191558361275,56.98528355997749,55.42249165471299,58.49747851234414,57.009379547897026,57.23925551276938,55.042610953934165,53.557142502299136,51.135578574090424,50.64823310661456,47.383994329688996,47.61239284915424,50.18436469590192,51.47866203782703,51.57395961528726,55.23584615191308,53.05818492560979,56.15181178574934,52.893034826330656,50.965924900371306,46.222124146145795,46.74468594811877,42.42798890771887,44.63902620038156,41.75592314762155,42.65904022120045,44.28410227952707,42.22388487084845,44.05849799380874,40.932574163265365,42.46718280353461,37.409724892938335,38.347505658644785,36.37509075454582,32.09011514730556,33.51959563271182,29.530377680167025,31.235703502333216,29.424324970315613,29.88116815109391,31.810808582083183,31.022149650674233,35.05523774089184,34.55209560032686,39.922369276049025,39.18451922908362,36.13979405965797,33.526539950391026,29.834443185035507,28.106884924899134,26.269903332774366,26.183633909285334,25.312014456907566,27.757086103549945,28.96409291749195,33.85721360015133,31.100989835673705,35.12513020386363,36.14104175457243,38.52487071214827,34.32568181798327,31.595117606369076,27.240435226429238,28.111407931400638,27.529821220884912,31.332131682983164,32.58055627981315,37.36744187789229,38.28391214299391,36.23378631584045,39.628424223333695,39.384855727801565,36.046911111632035,35.957664890430586,34.86233691309757,32.82049471871306,33.27625426340129,33.702894159088565,37.27478643150011,36.9255015613298,39.00145436661928,39.64769604599884,38.09384711983396,37.73664588030218,39.06488071562593,37.09137352748992,36.24618359512409,40.155521389908245,37.09569117851526,41.70429926969867,40.016454858460854,36.93590579328212,37.2672511821125,37.35223755751899,33.879979342663724,31.85380122413275,32.85139273907283,33.30558957334289,37.6239231397255,39.64580943086279,41.789854320362046,43.12187127607817,42.98757574994972,47.58390181610144,46.49677188604599,46.44439418590272,43.91506378656151,39.91402227349963,42.71511116497152,44.370809396978856,42.12992577415187,46.21863421666936,46.34965921250088,49.57771108594785,46.68748520422929,46.968569951164106,46.051795801618695,43.62282637809497,41.20560391747539,38.4232234503694,38.07621809592495,36.88278223232968,32.37938835305246,33.167039746846484,29.466443117609906,30.0975418828298,30.630012079040714,30.67207148387315,27.53850203771726,25.396731428838187,27.777733948479582,25.2906365574731,20.073238445904824,22.72141585258964,26.00290659003127,20.371345900197614,18.684280003609008,21.516684601938874,21.164764935300724,16.387857947889795,17.348288225676615,16.627092917402635,21.47544617154387,19.725567012780697,22.19913309416556,25.2879923408507,29.74589981526906,32.22974131896861,34.7229623624072,36.69728831022359,36.623283061501766,40.00748172342838,39.12238729136891,42.328999914754306,39.722191844820756,34.68710252705502,38.23265215786508,39.96847356853042,35.17791134975108,34.51667213861379,38.46509168901713,36.437060901804934,32.054243432949775,33.751864277013944,30.38841684556659,35.104903548327734,37.43555893387695,36.26850217506259,39.66379726655401,41.20032076604575,40.258413749874286,36.71051136141936,36.342864066480324,38.343082887796314,34.62533986790166,31.594245525298433,33.571453078287796,32.30775274794633,28.280970105309798,31.29089229870438,32.084031811715825,27.920992418458585,27.332334840037515,30.647230635929557,29.15309138008229,32.65175037989911,32.90961972422755,35.40143976247695,32.36306788093563,27.822652546455092,31.796118396989698,31.278615108644242,27.630774810840688,27.746051169205153,32.39801322503005,29.10318512089114,24.849231038263245,28.68852001300946,31.591399531086385,28.04950356399747,24.545984807546496,19.9983709925327,21.50608478061527,17.00408884193597,17.614600853725797,13.583949578299647,16.508262057968313,14.591250054161245,11.247824646778376,14.228199069285443,15.917479497742017,18.890202714388508,21.57259301976125,21.272639599192456,25.78553480999308,24.084106760542692,22.663323449075897,28.074971617459344,28.9632335612701,30.554094634359405,25.9716633097616,24.09252474578453,27.136936206689036,26.335092556023675,21.086546688539784,23.060801739492135,25.11566336082459,25.773295620123616,25.85356275674142,25.134767934890935],[20.34871853581433,18.951848923093618,20.1101748104233,17.353474996874294,21.40715491055301,24.418666183095624,26.875544088743492,31.139399657220913,31.115472423321194,32.37398705272545,35.39739296657037,38.13280082155817,37.25625145459244,35.36866972922162,40.56375259301061,41.806400598349555,39.344038058240905,43.327740788839236,44.05790066102307,46.619913822297015,49.15403759324717,52.217133612302845,52.53248690077675,50.51648347101776,48.24296489101287,44.87882553371711,43.23470362392065,40.423177489106344,42.64784414813437,43.18908631895525,47.058777887641085,46.649643114951076,50.48434369181218,53.84170834837127,51.08233929359937,48.70143154634446,47.56306480152763,46.81108796678359,45.269155697113476,49.88936548819199,45.98999920564487,48.569469914684106,52.81732053378175,51.89053916845603,51.53843409260993,49.16699969366883,52.95161743167039,54.72262628713592,50.51800570137751,52.75714633883237,56.790749375952,56.11533417372153,59.344351589680436,54.51012007917121,59.220833781641346,62.04717239210954,58.22925672467729,58.292015621684826,63.14454358812206,62.36150194003994,58.82586514633815,60.82718857028695,59.605971485141566,60.44939270865311,57.65996570567827,54.45584499449208,51.678138497295436,49.48538453675587,46.51172805443084,45.16165665354584,43.81366490940509,45.946127724656876,48.531859024428954,51.3188908451446,51.32379578817061,57.428170466337654,55.891278354957635,59.20749923135194,57.71266307756394,57.83429608821404,55.90746014458796,54.29267516118794,52.244430189224595,51.58501584467585,48.08968456295124,48.47366938001604,50.80372877232322,52.47475263525307,52.24214440361373,56.19634352507269,53.86527559245759,56.91083696289764,53.80519316828042,52.13281164817103,47.4170994925273,48.005458767590156,43.69570932464972,46.20831223639751,43.52858436193353,44.87675736145035,46.11780562485506,44.377236299541515,45.78925066829987,42.912790133314125,44.178553705693375,39.27294661898122,40.40930127231521,38.20846128823415,34.09458089643127,35.67612965882552,31.65282566174034,32.86588437158383,31.081292406244856,30.97877902478048,32.68669537054507,31.415006189149928,35.30931889565144,34.332536311714385,39.619924546827754,39.362779012209465,36.214946526131925,33.90339627977633,29.908134274270953,28.6162409009229,27.312660697661034,27.105156985530968,27.075749933482943,29.173222124353106,30.540226755386072,35.32572100260919,32.382054418965836,36.52390714134231,37.07783786663047,39.75507949997195,35.14507133140767,32.43341976051803,27.924827217366268,28.380081558540347,27.44106304760723,31.381451772174405,31.956664783560484,36.65828700207836,37.97268526811189,36.237291310392806,39.75677029405181,39.9055264358814,36.62756307249583,36.98931434581207,36.23734454111187,34.50471015142753,35.39569330932872,36.017113848411405,39.86817336719902,39.75591416526265,41.49358923261564,41.959796820599095,40.07673783924165,39.80427018664812,40.706687223414875,38.755348209685316,37.35284146246619,41.022147320344665,37.50248610278571,42.183872840070684,40.18258620014469,36.70923781005628,37.220004858063085,36.86797375856693,33.59496008624802,31.628792823695537,33.017782149187205,33.565279548524856,38.16026666717226,40.476183557890685,42.806737798857405,44.48482121501721,44.315209588246695,49.043925530683644,47.58812691045117,47.68709942333105,44.767641831757096,41.20414999208117,43.72052074523046,45.12193099978285,42.70654558072412,46.55950733521892,46.59831839451731,49.63297409269626,46.292222748721784,46.79675351965092,45.80425278949173,43.69244683095847,41.34220385828544,38.7741025587591,38.67030060090915,37.63063357740808,33.28889870759418,34.500582068313,31.07387916984839,32.06935479130264,32.911359524151656,33.26858716188061,29.957066469666568,27.817897397601158,30.593689112139167,28.283469145023496,22.764617852630344,25.682143734614662,29.375158443350394,23.77458461481305,22.113645829027167,25.14738461488031,24.942133995889595,20.169912720510172,21.120113645248686,20.06641776507848,25.02782852013062,22.399840102500043,25.10664880864567,28.416333174567942,32.54988630911578,35.164267285788824,37.45567337180491,39.59749584630632,39.34607840232341,42.67411767270839,41.75172138536859,44.70022955065929,42.04615128142782,37.02086755426556,40.41163953881183,41.85177039828073,37.014821250260574,36.32130961083187,40.05632590532765,37.74186563130753,33.38068197678151,34.94137194023802,32.116488284185095,36.994589773692674,39.50252969015677,38.77302970871842,42.23165551364112,44.11064026896504,43.04248687012126,39.383070090689074,39.36444453760047,41.52137516465674,37.668096260263326,34.76342164680702,37.02898100653383,35.82982895892493,31.77485441999889,34.87217099961372,35.83594324532195,31.732077541274847,31.082041026767357,34.37375348005783,32.690309376202464,36.04004904768218,36.09797031245353,38.426063428278376,35.52681492410705,30.899142330830955,34.56482061871611,33.98086850633136,30.378901063162882,30.13673426115185,34.63392333251785,31.263003949151887,26.935849698987806,30.441748708983326,33.26526480382727,29.608996951366585,26.048034388349375,21.657077247384244,22.56475298722374,18.081924954301677,19.599495562481085,15.836273180893476,19.153910729218836,17.635906441350066,13.698737085815281,16.131169155015073,17.174595003058865,20.129236449917364,23.44886114820748,23.13171033518241,27.622074264656682,25.87329865202816,25.154287191879916,30.726915308977635,31.959078645823478,33.491523020941095,28.717418353771063,27.288838859439068,30.491340950422334,29.26107568000384,24.26736349151343,26.657532286519423,28.81894888370149,29.517738738235593,29.60336058332663,28.904545251124393],[21.558135647070095,19.484653975534066,19.569893212477083,16.4295182953814,19.426813198686535,23.45191760829404,25.487642364826858,29.91103012009823,30.175743158152102,30.997931637615782,34.25498604200361,37.07456743919439,35.56494966545455,33.86258906601216,39.047421535333136,40.040570002572075,37.21793444701496,41.08243620199875,41.527406074250145,43.89416138541538,46.31601472359194,49.140179423232325,49.43316469543667,47.26473708096954,44.99448507449695,41.85687159486497,40.208306924237135,37.66149263220269,40.16610490924807,40.95673681982826,45.1790040908076,44.76900000079965,48.80188031661558,51.93089952296682,48.92811331614696,46.337802231312025,45.168467957774865,44.00040621384504,42.208357656598345,46.57918196839073,42.57716641614905,45.397632180741155,49.542167347090846,48.397290504300834,47.912369967560075,45.383097152790526,49.0821505630366,51.01035396276411,46.84482653614291,48.85010173246679,53.021598249191214,52.43750734092462,55.761497273217884,51.03780021673474,55.94048358468793,58.63955461863399,54.85481697311733,55.18264950339453,59.9843320325073,59.00458789469534,55.672299460840335,57.93646631827989,56.95017543762337,57.68438226621473,54.71212926879829,51.627507943638925,49.086799214914905,47.11999844477814,44.277910649025394,43.27208892361595,41.93562648034818,44.27843902361139,46.773604178586744,49.231215885977946,49.26639127729843,55.292194411656745,53.46078583789321,56.914532359188236,55.19857747618914,55.06641717893415,53.15846216902968,51.26849033323128,49.43502583222736,48.48405666129967,44.888003944810954,45.57523497323064,47.91272381457989,49.893640963090306,49.68225443656897,53.9589860643963,51.75941312343421,54.99698713806529,52.08654639457649,50.56600509404937,45.898784907473335,46.813082390424306,42.53942428496893,44.86168532836027,42.254487837197544,43.86420906554957,44.49206693739316,42.748197614995696,43.6897665709765,40.81363488197079,41.58027627855155,36.837540589344115,38.001332507956675,35.518345427395374,31.63056489211436,33.4906032548466,29.582805702362045,30.47048842630947,29.06804550268719,28.49581019484706,30.42038928112257,28.835025500624173,32.71936746835911,31.4646998848782,36.9396373846315,37.00852387604119,33.997342163894686,31.859899197604392,27.596468353057677,26.39662814788099,25.348460509603715,24.481201989476794,24.99267679598199,26.52259588938101,27.81329737624096,32.429940134692664,29.22340310904985,33.39148924644378,33.593526653139314,36.5438028958131,31.686312635239272,29.163501673074503,24.46144641434001,24.893852214437715,24.012892664225234,28.062088649500296,28.523354065654317,33.11028358923355,34.711908374148045,33.035518817567294,36.54055947133443,37.06356441900851,33.845350899044945,34.5407936393713,33.892625328411164,32.64348409489579,33.71809830085812,34.888901627196944,38.813950530399325,39.35611134983149,40.81134502711996,40.805323922169286,38.621405231590394,38.10168295624843,38.71768696301814,36.42835144080141,34.529277560850744,38.17822823131134,34.26695011440757,38.905445223420735,36.52714598517454,32.88611503420493,33.28000634544923,32.6987977338379,29.46251349835298,27.650318606997224,29.20055588855837,29.981845335877274,34.69849542407071,37.24589272324765,39.80538330614369,41.750233806130396,41.80694678751119,46.458514645177566,44.644903497889665,44.72150487871105,41.4624990514769,38.215284034533084,40.35878776172465,41.53375874730729,39.07791252876332,42.880300893596406,43.03791204786456,45.8356377423315,42.33278480812951,42.7837197980774,41.67770518501116,39.743963759338804,37.35310948790351,34.89320492099136,34.91304428564593,33.97664914506446,29.776198358052508,31.317903379803777,28.18836818066816,29.51233742465023,30.712271592036252,31.417712113821366,27.949410994503367,25.866946680145507,29.127846611268456,27.073340063566576,21.272947389723146,24.59553198930428,28.814751764437155,23.36581851459517,21.876047892037217,25.324774501322047,25.344813776413318,20.732105091765508,21.963667156586286,20.280078047212935,25.583625221725423,21.97439413333032,24.45933278238398,28.154406246833982,31.87970882045039,35.00297936746406,36.77171664091996,38.732784964555265,38.056336226794315,41.18239749394705,40.02491114784082,42.73072619943521,40.215476888379705,35.06060745023443,38.162775111794474,39.451311110869085,34.65381657883266,33.7493904437998,37.22066550360201,34.89584811122322,30.563303939936315,31.733532893389555,29.42008142408683,34.30963675622681,37.01247156496922,36.79405840757079,40.26102802984871,42.603138133648095,41.338549834015446,37.56256784279269,38.0586661085199,40.42900915014659,36.418721330215796,33.72580927031325,36.489686075028686,35.46802954999148,31.382406102293555,34.65038612340161,35.99579310714311,32.12588150116633,31.360964331932674,34.66109644126829,32.613700125480555,35.59661573702033,35.185984437413815,37.36482056267871,34.90325989021146,30.001529398439143,33.173095339276124,32.78782723118744,29.303581418202658,28.388022211930803,32.896540711075446,29.811160536082628,25.187429769353955,28.13724429382173,31.195555093694445,27.77385593476398,24.022538415543018,19.713366920857585,20.68572206981965,16.39395147392915,18.83101859076624,14.848710679052754,18.035842157592057,16.883292268406283,12.527097084078655,14.113977528089912,14.68990415958474,17.29363369711774,21.088889027439958,20.637988833969285,25.003937745625866,23.381376056674696,23.450800490537492,29.13003330305754,30.766608976409042,32.41278347785326,27.471630699169808,26.591130777515243,30.158221758880767,28.59991341448242,24.007762648508262,26.865773917609292,29.453492442669667,30.266119292511473,30.38155667314512,29.932201678456376],[21.73276856691007,19.800396200654237,20.077591384252493,15.757236918086567,18.93094508956172,22.29112548463683,23.826526381691604,28.338649655609608,27.927418607677684,28.307760982362616,31.37778329133057,34.542778497878786,32.942993995598734,30.742141781234988,35.929269339362044,37.178900043781205,34.265800468378075,37.958818472683504,38.21591733477182,40.92062785358736,43.19413550000657,46.27579029673636,46.38101459027129,44.25394804800984,42.17291661060909,38.8194673446127,37.4540518855558,34.844441256184965,37.39072761571618,38.40742894549211,42.157534595073166,42.24047562257625,46.15998942971619,49.160330811361824,46.33624763662796,43.62501109305369,42.86670092607618,41.57495682557826,39.95370719920839,44.72127367053135,40.421658871486706,42.842263337550534,47.145046393292546,46.10431546147911,45.56389155760427,43.31753129812465,47.07689256589891,48.92842186150473,44.99529027662367,47.32232721991311,51.39558983622022,50.96370897453365,54.08438314060812,49.25020195258565,54.117188603721225,56.65515983209754,52.633693479510164,52.8880449655174,57.6989623730155,56.645034231102,53.0497346244487,55.0972684719598,53.995829051491256,54.548931954031296,51.737163155696685,48.7318282738825,45.793036257325106,43.87216836914892,40.728628325364284,39.71053818111544,38.179892970497605,40.3169456918091,43.03835238200336,45.56517254377604,45.87686517923165,51.93056227155033,50.39793848441354,53.94190172758291,52.4616932637476,52.51467310884457,50.936922023000584,49.30939146440982,47.7212773065131,47.0331219652003,43.28213286256375,43.6528514400753,45.611149324151846,47.64791573376068,46.99277218024929,51.226195516603084,48.74046712822297,51.74844903031586,48.8559089001572,47.50055726025444,42.864130314768666,43.62729549031217,39.37685617790154,42.15810865950531,39.79759122099689,41.843751084828384,42.42209441870435,41.28077099601879,42.03888743666225,39.73345973685788,40.86000195355809,36.27428221590651,38.02254160521913,35.77820603908058,31.95032712934983,33.341541643718976,29.20189231177353,29.43750973635562,27.506163232895705,26.63885262875503,27.896495693051428,26.107123094355263,29.782852125610795,28.40582852084338,33.56365906029607,33.712342249329474,30.520100771852842,28.534060720157793,24.280468859449595,23.47047055651858,22.870088623212887,22.700225394222816,23.95259073686254,25.707050402356852,27.596088476390232,32.152869242730105,29.56032320061872,33.97184996539141,33.85416041472964,36.454329490560035,31.395093364361088,28.37508537525601,24.175527916546947,23.643035969676923,22.09149304180758,26.007821120693716,25.92759418706536,30.579588717107175,32.05108380479251,30.63004264077602,34.25432997275761,34.68810254817472,31.51825461353857,32.37500982226234,32.152427298538235,30.817233893260656,32.45032061379012,33.309441020792924,37.62498396385098,38.005893898948166,39.03132212866254,39.126503182317315,36.7114073822294,36.65094932755084,36.84376521534491,35.153380635211725,33.09136726874392,36.27891147005463,32.42442684994947,37.17580381386105,35.18944727501407,31.44600542874294,32.516118065501374,32.042620414639025,29.192312305366162,26.849690561112652,28.588857880588762,28.781205168881336,33.57849890215785,36.07439301545775,38.433125080166896,40.490774727263265,40.07345436682561,45.032084222780156,43.21149325232817,43.65200716534994,40.43964237686797,37.47060589499853,39.95388442055967,41.227023111950146,38.476037331822795,41.822445967207216,41.497378201978954,44.562566058649274,40.89982333235559,41.86552013997075,41.13346284323503,39.14215677022758,37.2564569883875,35.03262716541817,35.42239324604103,34.992563081425686,30.713169834544296,32.58415744922005,29.75074696421106,30.61521982053175,32.45269653573832,32.72023926786996,28.957797831985616,27.667137960187766,31.049711994188986,28.456337808437873,22.996311235306738,26.85653301163831,30.68188522983785,24.873046157192345,23.989434561131784,27.550589409778347,26.847610508952005,22.34058445336243,24.40485190811443,23.051176911663724,28.46620549894965,25.5943739121527,27.607982459361196,31.31879734555686,35.273697289748114,38.54759860192946,40.27911636720363,41.829182814690434,40.956073027044155,43.90889154375378,42.32092432292403,45.251430659539935,43.09949628204112,37.60616242576627,40.457407848266584,42.139001814202096,37.466583050437755,36.1293932622845,39.44114012796235,37.658520599904094,33.3168727156138,33.67281280411701,31.508295194028662,35.78982545239607,38.77592148534998,38.62951246843127,41.78531284588856,44.27872880143976,42.5015664796484,38.74281809231566,39.7117887531828,41.71242655132425,37.36799489404064,35.15598322899876,37.84588848318666,36.51394694595121,32.683544348946604,36.424763735811084,37.51641219797713,33.39523069382451,33.277474049906246,36.83224502315696,34.993480043793156,37.96227696419733,37.304580036879095,39.847654394343586,37.68393220102953,32.49739468022503,35.70259365810295,35.81284107894989,32.34648900385398,31.11366593522066,36.02275708953117,33.345457319332816,28.435736875508,31.123942244714314,34.64123441799617,31.547200189415257,27.643672633142295,23.198431590273824,24.722129990384744,20.51001090402061,22.86130956924878,18.366279178737898,20.880754326076726,18.806864478751738,15.055594995280384,16.655548060933686,17.808399323502748,19.808789486850785,23.43077061637021,21.86524246763681,26.01313906194635,23.544071024731828,23.92915111456741,29.482374136551964,31.452316651760853,32.408815002963266,27.389201743362207,27.133471240389042,30.390856261609425,28.0320323865697,23.872543496593746,27.371331800825953,29.76812350788775,30.740164478208506,31.142838842776346,30.870676294941248],[26.52267014906595,24.409362335551208,24.220435416908394,20.136526267468323,22.46016345709412,26.60776194714547,27.85714329836584,32.42541318685645,32.17944676449893,32.13161246574341,35.28704633891152,38.58552406751907,36.44285316913172,34.24363147765656,39.35777034818794,40.46840525904963,37.13650917043928,40.527949536931224,40.18714423200188,42.83287119727845,44.74376418050136,47.56458823886396,47.40889438725597,44.93574477485335,43.13010049470543,40.10141893543007,39.01037570254216,36.86792659633418,39.848584516523786,41.285464870327296,45.20112246286661,45.48952097439325,49.543979508472276,52.24008859955411,49.22866271209488,46.222975400948734,45.58852867551266,43.673670365392226,41.72557717368277,46.15827370950255,41.543942054198006,44.20938591312985,48.379264798623154,46.91783119097777,45.96799877045815,43.500621307081246,47.013440149249,49.3045984368632,45.63622541953782,47.47990746884091,51.87389070632529,51.71732836197758,54.97726997415061,50.36501929660693,55.56680411901742,57.7865049421448,53.73594008478178,54.472352636988596,59.169620673407096,57.67634532802159,54.345922402599626,56.729779871097286,55.95519090297357,56.15804015394319,53.15874934949669,50.467400495692104,47.608498237041005,46.11847859480465,42.90938038252655,42.37663371051082,40.668968367031525,42.79396637895835,45.66175963529509,47.79215858154457,48.42495950785479,54.3542455654208,52.648489696843725,56.42741397113207,54.78274999278346,54.549924891007976,53.14806891116452,51.18760533860901,49.98737184034493,48.90302105091615,44.98838936249945,45.77426336328382,47.60709900677636,50.10828488663159,49.30566585001933,53.92769986601085,51.47072501141864,54.54606305991612,51.90426278598912,50.80930182261137,46.26881433622925,47.24028900851989,43.06720157500141,45.85785241758844,43.64585118521128,45.95000440561149,46.02242914327358,44.9267034716776,45.21986942056358,42.92967862833601,43.45478247662587,39.07810039464731,40.701852015833076,38.08175284823099,34.544280129496414,36.353585564853326,32.43379552464331,32.42396051636962,30.933948063205953,29.536179305078885,30.874111974242876,28.60205085847562,32.07302020765581,30.119177853479094,35.23071321591666,36.03686830671087,32.92967345727672,31.35037970794235,26.815242157344258,26.414829157587246,26.29994073391767,25.505315279739037,27.352929347555403,28.437823534244572,30.103920280556704,34.38795130515937,31.30003135211402,35.58717420130452,35.02549505151597,38.14090447889775,32.78439725659723,30.185635681141097,25.690047412690515,25.131709147703372,23.53184955351137,27.54146688208004,26.784612965634242,31.10413958761304,33.22527665952435,32.14727640426565,35.7693158502851,36.82354033029545,33.80425203046501,35.168454207206786,35.14956588694762,34.333430896711356,36.12276540000792,37.417700043854104,41.73336214751714,42.5251316536196,43.39101768150462,43.16895597899772,40.52318982450681,40.26732650112805,40.16382076209713,38.156869518433,35.49529251184987,38.551006156919826,34.11217551681882,38.76764174023932,36.140461050475224,31.987545815847756,32.8991533382723,31.737538599837475,29.066323572875447,27.18958773382663,29.33203987587997,29.989096743248766,34.974578228963125,37.846766598758826,40.53009152999378,42.949640808435404,42.793936973043536,47.64259315549761,45.35036044665602,45.76724413699192,42.05197662133673,39.58702449504275,41.42822461429047,42.27002790482662,39.50215605540488,42.7109754150046,42.550375332471084,45.12586484792843,40.97630269471683,41.94519945435821,40.90967745661206,39.439929893025095,37.41541685253809,35.42521865759594,35.95203334751337,35.48949525221716,31.602522861748366,33.8059003584716,31.271473194746733,32.790303227547206,34.614861869389955,35.47220221563033,31.768816149454192,30.10820323584201,33.76683320566862,31.71641886278827,25.944636345933727,29.660577230270803,34.02892526442563,28.560608268514084,27.383571492039675,31.003752860552666,30.844649737874995,26.331918314735404,27.891027614857112,26.11572493847877,31.49776842138233,27.50750477355552,29.90275241734735,33.75581754347596,37.196313269890595,40.526142007801795,42.00441639630245,43.893748955968185,42.908886314702386,45.832348295267344,44.422257550922176,46.89185580414611,44.55021800780514,39.318186317673245,42.04431735355324,43.15167387534,38.464025016829986,37.311653518766526,40.35354332359058,38.01642342100524,33.82422462256933,34.35283471357289,32.863989057749365,37.518677258677684,40.51568586669465,40.86949227995337,44.20596892880461,47.00251850048631,45.3673377544676,41.52500483684229,42.64235433392457,45.00046884799824,40.74096183942427,38.44458571310699,41.46593071854328,40.397073862084575,36.43913744467767,39.97141265536786,41.383820961653925,37.50104644373101,36.95834515427764,40.328470657152195,38.190856320944626,40.97175056377682,40.220711803109005,42.36135931476291,40.244089041672254,35.17629128419006,37.96506880804232,37.768982461651284,34.41372694502484,32.961522465754115,37.394702408094055,34.5278273764028,29.79627127138209,32.12032591997704,35.25717710640969,32.00477025624807,28.23282755852464,24.233618657488794,24.827015676895336,20.903254131266088,24.05725800674425,20.279999925767562,23.3093152361887,22.153228498679137,17.860329322167278,18.83487535668909,18.963635447131118,21.000001020982186,25.18454107267792,24.236695197066094,28.250231703040452,26.301778073802026,27.303945469868452,32.911337929043505,35.0311136624431,36.30427872295908,31.243599749684986,31.11623516233456,34.65722474333899,32.368540451123714,28.334012039941985,31.780568482474543,34.364332930913,35.266365320364514,35.493743652682554,35.134874501262075],[27.060914573509255,25.01895837279885,24.8478677088029,19.95865095056154,22.147776504302747,25.731751351576005,26.420194932034303,30.972512996945,30.163847578007715,29.60399582638176,32.55873142319079,36.14876633064443,33.82913405590785,31.212704704148837,36.24434363310667,37.54391170336003,34.09090946582487,37.24094262290179,36.64736663579776,39.58207638674301,41.3077582015083,44.33454536120139,43.987700533660046,41.54440003747584,39.94057804780527,36.74759211027464,35.95906982493599,33.82749475914327,36.874470263005456,38.568971324609834,42.04396537719031,42.811813263970194,46.754416494938724,49.26617712961531,46.4086624087363,43.27263003606813,43.0418903570561,40.95325262512811,39.1518463636483,43.90586679786595,39.01863074685138,41.295832251814,45.58385075996674,44.20746175625163,43.19358762221399,41.01090182440199,44.55874934318753,46.7709013436028,43.358221299962864,45.4926380181889,49.7726300777819,49.770897230626545,52.822360374050376,48.135911342398956,53.29454292153944,55.33528909719564,51.075016184279534,51.7659421611423,56.445604583442105,54.866046949004236,51.313764706909986,53.50982708809241,52.659447725390535,52.66845709288676,49.812179468841265,47.22950208531835,44.02671332089944,42.63415133214366,39.16500138553256,38.698596194791946,36.80636338329479,38.74837063672855,41.80961183607375,43.928729565699136,44.84228387820269,50.75171362272916,49.29823928195889,53.168670271023416,51.72688693929957,51.63811582816301,50.56785285115106,48.83738898276937,47.910730888928924,47.05183435727847,43.00588065846504,43.51726259837835,44.96496024856081,47.54902569449562,46.32166386625423,50.924690211244524,48.226049249405825,51.09223756935042,48.51891461787181,47.620636780639224,43.15828952028535,44.03601475609134,39.93741459664274,43.10497287334834,41.167510478248644,43.900884127108874,43.82222684801711,43.30224159915452,43.34793094295481,41.61790829978015,42.40850137076332,38.248483196295965,40.39316902165392,37.99554895948653,34.580785678739666,35.97070300561474,31.922493862756518,31.273209031805187,29.387124490164485,27.653504210048357,28.34350293732408,25.836226536039486,29.012994507577478,26.883271657204713,31.630160400215182,32.59508280387086,29.36739251168333,28.0269337274605,23.52443280109718,23.594316506177854,24.014670954390414,23.784291036972697,26.37069391579228,27.540284453859556,29.70554114597958,33.83750594916249,31.34503396261738,35.79585529900852,34.92161187655452,37.68325191371383,32.190910982887566,29.18545011368324,25.251566892755342,23.770361467407167,21.539952688790127,25.328739056599506,23.964136568469215,28.263598354508993,30.28343612608345,29.50482505568464,33.19975139178948,34.220330592199986,31.30562217606527,32.8742277736189,33.28846959094062,32.49165887822916,34.798054368341894,35.875769629107495,40.493082686830846,41.23392275599964,41.65163756931786,41.445934520400314,38.5701638301592,38.70485358923937,38.15859070507659,36.691855943423164,33.83975044488022,36.39966828124557,32.01248918580293,36.71402050078757,34.45751172576173,30.238261768477958,31.805824855030707,30.761398067641625,28.52226379421642,26.159295992351844,28.45953560441192,28.54782347180185,33.546171082740436,36.358140289791955,38.84471664372085,41.38169218769454,40.806798574538696,45.89032520105504,43.56470895448373,44.32400826836771,40.65100825013888,38.51508253144975,40.62291002762136,41.53476398853385,38.50601990315244,41.23440843897685,40.61144177784469,43.41005599475933,39.12436172527587,40.59437412875144,39.9390859539451,38.42683006345202,36.92095186919509,35.18690206293592,36.067422276970525,36.09974291883297,32.18618043184726,34.67412027193223,32.45180516534756,33.54899531812669,35.94497226922522,36.42681803375654,32.4990921832314,31.55280429014583,35.31078385418951,32.83921903769363,27.41104540548001,31.55933139191215,35.59928583389022,29.905852057470327,29.24956311311485,32.97180258533689,32.24649715232097,27.893703604499557,30.127575318087622,28.566013876249873,34.05744182078888,30.64372150768446,32.59739036897179,36.483494711697844,40.10426026285842,43.61992290241017,45.01979650080539,46.497165050171965,45.302792482647504,48.04314709684655,46.22093212303782,48.88195099482104,46.90206541697291,41.36317179891675,43.83021427026347,45.308429760268005,40.763428475836726,39.20088741540312,42.07158219536747,40.28483842239373,36.10583950963676,35.85324360331245,34.51321181398215,38.56115777447128,41.80454442509247,42.24823910412004,45.2783445021483,48.232913278144295,46.12404903274775,42.315749087924544,43.894586160756454,45.926395087960664,41.387500623649316,39.55504156417139,42.53967342212773,41.23050398606559,37.523947249279644,41.454355333420736,42.6822020498387,38.64345748441306,38.638557025322875,42.211596577107386,40.225745448021335,42.94674270988105,41.93714846897568,44.384688194842106,42.57995294478222,37.25511935543931,40.02793431347542,40.299868530870775,36.97674772233891,35.21308600023604,40.00447303912924,37.547366158169694,32.54779411262502,34.61899193088321,38.195619693707705,35.28296733466625,31.3655303026969,27.23168844813397,28.408687569125185,24.533835105419488,27.568940769521973,23.298684980831055,25.748083731080616,23.89744734937079,20.10986918299372,21.056958303570394,21.679192917874957,23.18403305904031,27.14773269861673,25.25882895113342,28.993647881997642,26.359404998679327,27.693007087580124,33.09467074142619,35.51651744843943,36.18799825865122,31.125955302172066,31.597458163669238,34.86718218742216,31.894228750014957,28.37327365118608,32.335415052528006,34.77968250770857,35.81219686559663,36.27372151121648,36.09023498291711],[23.84746414011082,21.56923347048701,21.061399928758917,16.05498390736803,18.02572252077597,21.73053695370826,22.426782348025668,26.996304602574476,26.438306715862343,26.047048859651913,29.165188923293027,32.58424637010945,30.297085504917334,27.985827234107585,33.083027922294775,34.2294510468889,30.90433022151799,34.31466096772445,34.134349379318955,36.85588774670097,38.90288970843478,41.90821441975614,41.865751901282785,39.61648142513168,37.66782675951769,34.40555208098381,33.24138517660678,30.88575159129832,33.74355114214018,35.1718969291957,38.93204696565156,39.34284164376694,43.35241921430747,46.019289842076354,43.086912654223646,40.099886210937456,39.59514389254909,37.80057761111059,36.05075568581886,40.81868202663596,36.224188678373416,38.59931599216241,42.89495756956829,41.711163579594576,41.00342152666311,38.80523923446028,42.516287595210706,44.46097612221068,40.738212696484375,43.056616372906234,47.180036860766926,46.94098180622039,50.00331411860394,45.216584934611866,50.22922752492103,52.52921067717541,48.39072556207104,48.85375925975879,53.609134979809944,52.319096268723314,48.75354958080586,50.91250489048829,49.97059407619246,50.29807159170271,47.41421073239275,44.58733355759165,41.632504861595756,39.98198945809135,36.788549395352824,36.13284240554823,34.496318369516445,36.70887546471312,39.463408564451335,41.680677883907485,42.2019483012021,48.16699004708628,46.53854454714518,50.265681082817174,48.724708047495774,48.64750811713376,47.31487321355547,45.59938983819128,44.39845945756148,43.60711137141071,39.673067585042006,40.12620975616432,41.81882181089378,44.193366610865226,43.26472809281107,47.77321610750159,45.24407546820712,48.281690823792104,45.61140912743467,44.52398349688658,39.994314668110555,40.983238275262806,36.831400308458356,39.68552441197329,37.5873585398993,40.143895720078305,40.082047041646845,39.34579750317906,39.511093482344045,37.61695410959499,38.48468184670571,34.23352851717323,36.37070189067496,34.061418850149735,30.57496849053607,31.88218869828875,27.805888103015327,27.253728356868727,25.392692327789568,23.825798026551727,24.789898739726425,22.517294441604168,25.969038727045444,24.19114371725714,29.29559398617341,29.860814727852414,26.717431167726023,25.066282706418168,20.572445270632908,20.203845002031716,20.27611499373533,19.903907851246302,22.265901619511613,23.526096664890726,25.713884224207188,29.93915081651015,27.59054274850863,32.092797888585935,31.411735283538764,33.981626934942454,28.621887100806898,25.486382086640077,21.59300488158266,20.261789036907892,18.236874569034793,22.102229882420932,21.440435590325926,25.995310456689612,27.67819271560612,26.527835126707654,30.200694476074315,30.967298987500328,27.931226011169713,29.257019498081444,29.455555554067338,28.59011689579716,30.754694806653525,31.92959378590378,36.478606703733895,37.36686198233269,37.84294497958652,37.54652404180524,34.72491516528937,34.724954548668265,34.34313726854548,32.75012669800301,30.096022334858826,32.886721502804726,28.700005632303082,33.44557787752234,31.375885983382915,27.413083466083844,28.875302490778562,28.259982590704983,25.79300556006386,23.22548022465495,25.254792293014873,25.22723820008475,30.146725363300472,32.812263578855436,35.23340021066186,37.615787392107734,37.10237308454033,42.14543581663424,39.9819141111669,40.64798563388596,37.16253665490938,34.73977010025217,37.06384691528982,38.17251863139486,35.19920783323497,38.1367426744289,37.58608842252387,40.59117986379302,36.67324214517641,37.95392618906092,37.39054204330409,35.54375314509738,34.00968922300189,32.09558327126257,32.86870454925601,32.90914963617253,28.80301162637519,31.166823224943656,28.887774986701046,29.716469593765062,32.234944315686896,32.524051306106756,28.547449159138495,27.852478081112054,31.60868613196994,28.99064601592423,23.726882390287308,28.059002183592177,31.961612040480095,26.27180031153952,25.880678273873485,29.686123557047996,28.80393315051595,24.637932282385286,27.222052393203047,25.6359178030163,31.183188537278614,28.06730150197598,29.611271958934147,33.51902817819026,37.20973628954916,40.899822533132074,42.18606082501032,43.33775322966988,42.02336247276165,44.66439927831457,42.645698896659944,45.46690844280508,43.68327737303028,37.972174718571075,40.37150812639969,42.144294343787315,37.668982849484784,35.90852935409621,38.82381849976072,37.42229015008966,33.1990770358495,32.667702409058656,31.10870476684497,34.89339747473153,38.17547596483842,38.52105180749375,41.435223117635296,44.38435216348914,42.14968520200047,38.362995688355575,40.048720658820024,41.97681276839074,37.37409498583771,35.67929127070622,38.68990900466163,37.355299907793565,33.73000303678627,37.79355625570505,39.03387440672037,35.04677842503525,35.185559774375044,38.81499565839285,36.83753989932554,39.45378036233153,38.288900654042976,40.87502584728404,39.269901726125994,33.8139668276095,36.56699932735237,37.12357121230594,33.837121129805624,31.918446490924634,36.95593824348175,34.80399508170123,29.632842762116237,31.636929626371884,35.534857467102334,32.899602859826686,28.87691773503863,24.595070712310108,26.425015340348214,22.592306051379197,25.40405719968319,20.730842470405957,22.65351641218963,20.489521348916554,17.06308136127602,17.891290826798866,18.924888605933756,20.105280240427714,23.794448170517285,21.47235661640391,25.153713618165412,22.32511972113024,23.655168235011033,29.007501809165458,31.48876926108547,32.09667877616626,27.032376802961892,27.655823757640484,30.93887809127598,27.88822198792873,24.516958441322977,28.628490814320173,31.18907828914914,32.29845453571788,32.85192335004187,32.85457497416881],[25.818500663951177,23.174724810416844,22.00629712848736,17.87461177849153,18.954904942862342,23.883257854042142,24.740813258900328,29.287827202475857,29.489566044839037,29.18363747444091,32.566196419845745,35.73388092953709,33.098694131436105,31.336525105653912,36.36139780885099,37.11604472832459,33.594240599877246,36.97761932107448,36.631248031910836,38.91025430364289,40.90078927046155,43.449647661292936,43.47472972391795,40.99482672239693,38.97915774779387,36.162140496437466,34.837248272816815,32.853363900809285,35.94330204358484,37.42218480207796,41.80046567849032,41.84025365944388,46.065312465382604,48.630676776178795,45.378571910927896,42.31392110880801,41.47358917442011,39.377593126619104,37.238046043555734,41.39209305602185,36.90291538366013,39.850038699622495,43.89231749337538,42.35383739035643,41.47973573175003,38.85804523324337,42.38193648663345,44.6406265799978,40.823398062654974,42.556041241735684,46.96234734335814,46.736571868337016,50.07796793050286,45.52509888085346,50.784479443283836,53.047338733931404,49.1263235701574,49.95680652381486,54.63275027527891,53.15754873202221,50.025233367373886,52.61747959894911,52.00539637069743,52.32006250561719,49.14896775242328,46.42639930445553,43.98486562309875,42.55589349131353,39.69572535852048,39.374766139048,37.87366316924029,40.34034170193864,42.88021235322229,44.742710330209206,45.13547878111798,50.968588228808294,48.88741223319054,52.66486558862331,50.76182893372589,50.30155081088731,48.75165332555956,46.557944101399805,45.38751781524841,44.082075470215464,40.17774907270402,41.21226030848614,43.19586938028907,45.82706457130554,45.253504691995275,50.0684048137875,47.87207198870127,51.20925996867665,48.70510595586752,47.6292796504054,43.14673971034377,44.469637830869345,40.359209548999374,42.718286619723955,40.4937016201778,42.85558687532076,42.406745473206314,41.169073196109785,41.117901986312404,38.746552261267304,38.8523760118405,34.63563267338147,36.251653603685845,33.47226035097737,30.17133888182739,32.1463987592295,28.414475863075342,28.167190935909858,27.118024670464333,25.41261929712373,27.11240571133002,24.735582780300852,28.269069271285495,26.282218350087827,31.714479793564198,32.5847734526091,29.738583199189325,28.182017309398496,23.529547972286444,22.972726084213846,22.900985035705215,21.350103189800077,23.517614835741202,24.046496823158456,25.59544721398537,29.66633111350193,26.48059540004704,30.751332884794127,29.960595792285282,33.173648219814076,27.725458198830424,25.28765690777334,20.723604461098322,20.22211345159311,18.853025535962267,22.930351056462776,22.473723934278212,26.751631384009244,28.954211620499972,27.72606362478862,31.262401148023965,32.526916939831686,29.54836796413582,31.06509895453131,31.004268093793133,30.62604799291332,32.430371194527176,34.24984455733026,38.480734114942464,39.900534121958785,40.57487933043853,39.89533183037147,37.07949390863794,36.50900168669534,36.26411835502173,33.887558212784015,30.921943141333433,34.0550769796311,29.41198963416365,33.98694843740148,31.120365174080206,26.98532146873497,27.71225849689649,26.58321821903606,23.842785122988083,22.00863386692555,24.15168066839214,24.97743098039069,29.9725705433376,32.95122465742086,35.785086178527365,38.33013694845687,38.434792447313285,43.120954735761735,40.62323530331694,40.954040048476,37.07140440116648,34.762048749236925,36.36023781837456,37.10303227273351,34.34712430730884,37.60647134251118,37.60655496755053,40.06935962967248,36.013870440484745,36.81338887666932,35.74078413331317,34.235583563535755,32.18189863036944,30.21196823415341,30.809655972507304,30.49064307222282,26.67453970535116,29.10676245519124,26.892303930482075,28.49528194207966,30.701230314589576,31.70780588017491,27.92483598907014,26.540424829942165,30.512040441245393,28.624719731121974,22.935426541007473,26.968618370361508,31.53186541558542,26.335953743330595,25.49570855614351,29.361968843620765,29.26702142197393,25.115487484272176,27.038733566012535,24.88606733611642,30.398829526207287,26.068751923929174,27.917838926688162,31.977660987040466,35.109464601760386,38.90738990065479,39.88640351360339,41.356709478921786,39.95351118091942,42.599310972371256,40.85788964357772,43.21696492601545,41.175326223604344,35.76995392859677,38.14974012214582,39.33909404464608,34.809102069663226,33.325396615182804,36.10591992761394,34.100587808117,29.974969838973767,29.873940734387286,28.75865491638423,33.129039442827654,36.29199460103471,37.022467126928845,40.23166409679198,43.38318236243271,41.509833025751455,37.63802401211928,39.248522622549075,41.67291647072934,37.307120781262,35.31794620624338,38.70037308024416,37.772375625747195,33.91593708599073,37.60310563346098,39.29036442178692,35.679684207416834,35.15426631761274,38.517791829069054,36.152384415985416,38.540627406197,37.324746840401076,39.4190548112115,37.82407456226159,32.535244488754856,34.862690199693475,35.048880649043944,31.87855343156217,29.793764193097303,34.33763853479359,32.00360596051147,27.00812086485289,28.731384684015232,32.264120014594404,29.510737018945456,25.596950560365055,21.706914350386416,22.855360879551483,19.33175128783042,22.828435837334045,18.77589149972042,21.138612018553975,20.102179350286207,16.0604322054935,16.183965908085888,16.18647524815329,17.458959820934027,21.68298305411712,20.331980835597747,24.019019804976168,22.13602120410252,23.831608543943922,29.311240253091476,31.75323439241661,33.06127952961027,28.000359412243494,28.406291878435713,32.152975166025094,29.646814838161855,26.13957744963216,29.894623088005208,32.805288431729444,33.81300999728889,34.10589233055785,34.04016960393413],[29.838823562903496,27.326923241461486,26.278243832053757,21.817390899630862,22.767675131376155,27.479771231265445,27.928419791082284,32.46850944022666,32.2741232546106,31.44170328303592,34.65808928612865,38.12163130272636,35.16087416222164,33.01834183545422,37.92216101468396,38.7960144294342,34.97163057610318,37.942969708523066,36.97343204439533,39.480315982381455,41.02459976439944,43.561402654773175,43.19785033017765,40.47018081590644,38.88517725350597,36.185069676691576,35.360146830624714,33.728476701230086,37.139274870975115,39.08219942205569,43.13061457667138,43.707796165770105,47.886392863662884,50.13130092106648,46.92600936217978,43.5870315070213,43.17418722319233,40.550937345387986,38.3260064528387,42.48483481333252,37.5480333809159,40.327916009185685,44.35535301937758,42.56389971773732,41.29093699105584,38.73764875468555,42.05910665178795,44.62959287814375,41.26893159587083,42.828525118733396,47.397538350560374,47.523130779962905,50.794929878201906,46.37296772265035,51.82895366309899,53.69399527124477,49.58500807315122,50.738682602809284,55.29970461710707,53.41581324174605,50.30200477895396,52.96668973812687,52.51799958136299,52.39638307664738,49.23242413100838,46.85264588396681,44.14441317775183,43.107934331081786,39.951276287412114,39.98936484216736,38.191431073473964,40.422458316387896,43.26686011458716,44.880556229350226,45.76449778129883,51.4863870086271,49.551568979713004,53.55394600550379,51.740005716451286,51.22093564054997,50.08016591301808,47.86246516328646,47.17719100464263,45.792445633242856,41.69169002814209,42.78181054348477,44.3498374259304,47.34340459326529,46.30942059953965,51.33000704774092,48.93233020680327,52.09472130147973,49.79630535266007,49.041289037950186,44.685508112230615,45.99177262607573,41.98779472787906,44.709279833784876,42.78330667376993,45.5761503180496,44.83036171711497,44.05511096145561,43.60945934219122,41.66568161969757,41.64018175832351,37.71118210151153,39.58193937124444,36.76028131375399,33.71624899063722,35.62462563996816,31.938116491196286,31.167232148144283,30.034215415394304,27.851854213630787,29.04435424782424,26.222633109644384,29.333002518866387,26.81391571123562,31.811449638890316,33.27485624734841,30.37739861375916,29.29397849342288,24.560262936788327,24.662277504729744,25.263462174010414,23.913715284702377,26.84336893304147,27.141809915873097,28.886124300009907,32.660525519265185,29.60371357619116,33.83735602511285,32.56186207112278,35.851893269176905,30.176060424596706,27.767115616490187,23.497548139492896,22.304385894078887,20.41240204752442,24.293000806054007,22.771054616745165,26.694263740985622,29.326443125683785,28.64242066383217,32.20783617600534,33.867507026589024,31.098095679607184,33.07262870989305,33.46457404787872,33.33692734754867,35.569863439990364,37.364521044110376,41.79730187090331,43.25589015349583,43.592843589913635,42.851639680692095,39.79301344840641,39.4434437764346,38.73955818735642,36.62922328640251,33.21465253926622,35.85150248985952,30.899820125360986,35.40325323127696,32.37986477541123,27.899610313891216,29.01673774571309,27.38682073892447,25.1920807567725,23.416531195164485,25.975848155850432,26.703470164667042,31.78220723486718,34.948957954818674,37.82463487350774,40.66716714233772,40.60407754593815,45.383718170799966,42.5816732236125,43.15435439897411,38.990931423062726,37.276270262727415,38.62462630083126,39.09946316104929,36.16531326231578,38.92656022216567,38.68648865696927,40.92254351967736,36.362579334316514,37.56945882019289,36.535587567306294,35.461396154057745,33.70007097382349,32.13005979570424,33.07130241051748,33.050913547380645,29.56451301634571,32.348102396131836,30.512698032288366,32.23973083780324,34.67997666394271,35.777387498180374,31.949623310924807,30.727007672217876,34.799569315400284,32.94733847755716,27.32042283591298,31.39233174557857,35.98211351372727,30.782543979243098,29.987097438606032,33.850326214479594,33.69500862915,29.51274238553403,31.44217151871842,29.3246340238952,34.8197722969535,30.323483017361767,32.29268293564483,36.36315030943098,39.360141114960946,43.145549765430715,44.05411297062114,45.603277116469734,44.12379856564413,46.69473225839318,44.91256010865509,47.09233190614054,45.08594246127858,39.75413823357698,41.952404617631835,42.945373335814075,38.49971087482186,36.983224382480905,39.49229025288661,37.38216859621887,33.41316499525164,33.07746000914968,32.4727198855713,36.72128083476628,39.97951514221471,41.005256815870766,44.147584991338036,47.488559137062495,45.479389344268455,41.60770907714874,43.46428181396141,45.87969621218186,41.440741277557876,39.615436607213226,43.05671368431233,42.09896086248541,38.30485858016897,42.05375401044845,43.73071584812833,40.08382885592108,39.63664487776707,43.010044231065876,40.635901607803284,42.98321252732286,41.691752638900525,43.72345363912887,42.20913801176353,36.933726663410276,39.10651358387665,39.27525633746538,36.167728661901855,33.95469760086117,38.32869570161224,35.99712461481748,31.089514923622385,32.553778933826365,35.946622824444404,33.19435110626605,29.380200440542286,25.743982002060843,26.44830948826878,23.10364938976367,26.84793358415621,23.075561815267527,25.57099704365503,24.587139862975306,20.524380740038858,20.600191662595833,20.34686778188894,21.500703279788787,25.824756694017005,24.40906916887025,27.847291397249393,25.864227669182846,27.921924563348327,33.28497937754453,35.89904230999682,36.99651981406808,31.943076412978105,32.63364396227958,36.29512797314408,33.47626685605177,30.202072553684623,34.13670208174446,36.94959195223063,37.95440730295231,38.25967430679833,38.14247578837434],[28.456429863345914,25.83205414288901,24.466973797733427,19.516608866315853,19.890522706151778,24.33657999882388,24.238385485218593,28.702812928355208,28.329553369353707,27.109339572575735,30.291251148886953,33.830633201823744,30.622931887765763,28.44773873452041,33.27066725139133,34.10802875153505,30.200400065581952,33.112241271566326,32.15723333394853,34.68886156511413,36.29474659700325,38.932665847743735,38.638455228125316,36.03787921692932,34.34761652279645,31.505831194332067,30.648420405593356,28.940361477696865,32.34844066715579,34.371935934172434,38.348213169147705,39.043612725797594,43.20876562282827,45.36285310809701,42.17858295234438,38.802219311014376,38.50769575330168,35.85752712352227,33.72557746568354,38.1083679906784,33.1270577710866,35.72303257819149,39.8415767779253,38.21316658099576,37.09069590736242,34.72240843630839,38.20225451333657,40.53531925901136,37.14498398141252,39.053367827431494,43.443960735647636,43.533528693049135,46.66527883156898,42.116278460519105,47.47362097614802,49.37000089110029,45.179213958569655,46.17762851395704,50.77989160437246,49.00752564839034,45.73431154142379,48.27730071700019,47.746040381625626,47.688213739810344,44.574247862806985,42.1186255208545,39.37117960515005,38.27699670885565,35.15380413903062,35.20149180258522,33.454362625440815,35.78858128918668,38.52473805082464,40.11653795415631,40.93801184033969,46.660388055115256,44.73053385779079,48.727303566422684,46.95436450434407,46.50549419807207,45.43953107604844,43.36078025118687,42.74060596858677,41.52770710870789,37.379737267473956,38.2711204310784,39.706403177658316,42.68194199972861,41.53209928301603,46.5353500482275,44.10426515542359,47.26556490499741,44.99774492108536,44.29464216493829,39.98350324958084,41.365343545634964,37.41963942492745,40.14211030886157,38.34618403751783,41.374711774386974,40.39881236669929,39.92227481417118,39.267732425188875,37.66313126070769,37.79727819792488,34.040259855760866,36.31118928446784,33.69886813930941,30.78189365214029,32.334443633408185,28.607753106210456,27.31801633117084,26.01390599683031,23.552184022256686,24.45110838899516,21.502545098518038,24.52538833205016,22.00072401501519,27.026654927157324,28.43904871042896,25.565288243700053,24.535908867155598,19.786788834496367,20.035825732766725,20.950319977940225,19.744067656257364,23.25795453322002,23.49981674662553,25.61967375557909,29.239388721880367,26.75353893608547,31.12132762541152,29.662145744653287,32.55281621099187,26.83359579900173,24.048618848953396,20.29793435663534,18.362087651406426,16.047018510749385,19.8191235266616,18.183641351805516,22.284036520526875,24.693384346892834,24.01521962142564,27.633319488796364,29.19480042591321,26.453967574276454,28.524923656871408,29.149743822271763,29.13181822990762,31.689662225540804,33.487089761737515,38.05842993861292,39.68930718484189,39.6755626323829,38.7945979558206,35.56216108080726,35.36787615271385,34.367955196409504,32.53392224866543,28.994909960582948,31.364607696821874,26.493479465104183,31.057608957348602,28.38812952970322,23.977946136180233,25.584133385503296,24.335061993323183,22.368400384011103,20.018435137500674,22.571422127401075,22.766072886161382,27.82956092109435,30.893718649046654,33.607794627878796,36.489575423847604,36.184340607824076,41.08914999436285,38.30653743939371,39.08541207641331,35.02722589464177,33.45466837720336,35.09562594044036,35.72915422758287,32.61000127395983,35.10845084245399,34.555560513362366,37.09400311360774,32.65259652562148,34.14021627465344,33.486767454999274,32.1454102287914,30.807549936252652,29.347287638567305,30.533617301129105,30.959241190693515,27.36131392627436,30.32136715913661,28.770973563379048,30.003992021928127,32.999372323264936,33.711310934685756,29.711369883863238,29.234865902911164,33.38036554916827,31.181355035456452,25.993130808786294,30.46427396769922,34.714834483326406,29.463056418221274,29.232846318415664,33.19654892955916,32.575114306368555,28.70984463847159,31.299496858346263,29.29704456339125,34.858473886426616,30.948238528302692,32.300182785691426,36.392383225326,39.51729815196445,43.563327950835365,44.301749031486125,45.29988660468029,43.55768487489718,45.88820057811556,43.64479451912396,46.047597441877876,44.48159636480433,38.820534025063765,40.72531156157252,42.19692555736411,37.947715290574784,35.963096232486635,38.32182037605583,36.94489315375828,32.99143492767815,31.791000189349944,31.217851803424164,34.753201924983955,38.23134294952313,39.31234044641715,42.11317106300095,45.603870657165494,43.136343901359574,39.32196072762103,41.65291904335208,43.75872563129537,39.08764611445679,37.750339784929885,41.208002208980574,40.09088159775334,36.57419982154446,40.67478935255896,42.25290371286115,38.59440233134852,38.61210545070822,42.134758993064224,39.86266877917145,42.042486784096674,40.421367343494005,42.743392094964676,41.64630144676256,36.119353545316315,38.197772653528666,38.92663287012216,35.904887073485995,33.32294166235959,38.09603448428786,36.32233569620389,31.12729520511648,32.29659527090144,36.23670157038614,33.97321459723579,30.00335454155669,26.215906819680352,27.79188624555448,24.544239376581125,28.030543806129256,23.698652064495754,25.40014044102739,23.801402800064448,20.392886973567666,20.28928554848696,20.616393845417303,21.089517266342607,25.00542627812478,22.592357817663366,25.659342061709065,23.07293279063826,25.51356935894357,30.588555285932365,33.49599758483235,34.10635436169416,29.111801210749874,30.423522977695825,33.8875152692197,30.522713771279946,27.864844609801185,32.234257937243484,35.028379854109616,36.16852617779067,36.687008889198495,36.82718699277004],[26.21803286724381,23.150498600004884,20.94191347718305,16.89947784682162,16.239984366987034,21.839195406029038,22.063905123138223,26.445085831549157,27.10330736275434,26.403729414233247,29.955813436344908,32.94980412653657,29.724858052348345,28.478554244442208,33.28790162643068,33.62363482995733,29.89457404897671,33.18815507288376,32.806073322194,34.64400163066658,36.695688877724294,38.92373215297612,39.148782326526785,36.68697651187195,34.44384450307859,31.88986118689549,30.31535958199313,28.555786747577333,31.763529029833283,33.32060494075749,38.1621613137916,37.97137161487091,42.351606496270456,44.71533406984587,41.21720053263504,38.08074444615894,37.052476328107836,34.7136243282581,32.363160135674555,36.200636337952396,31.844141907368904,35.08000556600211,38.965602552563745,37.353531870624224,36.57684255883976,33.8168406034334,37.35611237349571,39.54519302091908,35.58293138189136,37.22809643760554,41.622009350570984,41.33083907051332,44.73486760531462,40.243042517023206,45.557995943921256,47.848340786127764,44.05849822978522,44.989450174557135,49.63020512686862,48.17339952963813,45.25031043646671,48.05444982703713,47.62462107725107,48.04834587949612,44.70704957115366,41.97071900630827,40.00313081452419,38.66950653909235,36.227069081448924,36.17379975545177,34.91752579677887,37.72860828544462,39.874826517164024,41.401491861994366,41.54106664049973,47.21627119337055,44.73731908103628,48.506014817068575,46.333342235581895,45.623451614999404,43.947636336625145,41.50970715590578,40.422596509343364,38.88003852734758,34.97319232062557,36.27667373510633,38.38284741887343,41.17668347630764,40.823057158947776,45.843172715002616,43.93536985933682,47.531357708184366,45.21509626833576,44.198385265729314,39.836782456130074,41.54694231040367,37.57095488444966,39.44538781598199,37.27269462560818,39.744615882811104,38.64986132881485,37.34513918486233,36.82593194741586,34.46688210537776,34.08584636065095,30.14272690615909,31.83543020589901,28.915777663425573,25.989250555539545,28.07360017554936,24.62146038077108,23.93096660855326,23.426052925273385,21.269512124856572,23.32209237164169,20.814273183115365,24.312553956443782,22.296731383049426,28.00339426063396,28.95860512994757,26.48299890969215,25.025651308745367,20.365505969978102,19.687317659919888,19.768187683687948,17.287623392458354,19.99875111246446,19.739830429414273,21.199105127224527,24.892661010297537,21.726406248423128,25.974401172114092,24.803661898181662,28.064216896163572,22.474827989380053,20.19496517802525,15.688730136385846,15.06660624448433,13.965400007955727,18.048162833553025,17.95965137914289,22.114318167055483,24.378313800526314,22.997342689638504,26.398483235034487,27.927343814271264,25.048730752637546,26.789581721667957,26.748344229668046,26.95784251890441,28.84392791902346,31.252380717154328,35.36700079381799,37.50365271142794,37.86983470106528,36.656929105825554,33.63041243599115,32.74156201941034,32.2443415939304,29.50926099565289,26.124135941047154,29.25427004361057,24.36842139538353,28.824229575308884,25.706635631764236,21.591979154960093,22.18080884064429,21.140958765168907,18.381221056796758,16.48544204358745,18.664774585005745,19.622637403763182,24.628017454113923,27.73612351019315,30.727839950220574,33.44863963664837,33.81492188278016,38.31380378200672,35.55853890686803,35.83810638133415,31.753449392669637,29.715153157851447,31.040380735057617,31.66908516720539,28.877170120057823,32.11791063830683,32.24584203852286,34.60811572071867,30.663879878208842,31.325460828691433,30.282340835550496,28.707394678907924,26.71802892460913,24.82626503442963,25.599334616255558,25.5918462507997,21.89027586371764,24.682747886241525,23.007261108255552,24.598253398952092,27.381806081157166,28.478626134385543,24.626881737684744,23.785888696173938,28.05638019473512,26.333402118822715,21.026516821961042,25.36339928893055,29.94859873514205,25.191806504811346,24.86405521618706,28.873293598833065,28.750634303998922,25.173162387797646,27.516926536961954,25.1021874495106,30.56151619082677,26.140252263835485,27.241029836624428,31.402850168237563,34.15363777340077,38.407812582116016,38.82015315551419,39.72761014177844,37.83540327272585,40.08987852654869,37.90341913986274,40.14610716223402,38.5509239181711,32.958170527861554,34.833954232714106,36.18588029831226,31.94207039010259,29.99044118870043,32.372655440119004,30.92889678803605,26.96642274020184,25.882981877271398,25.304722276274507,29.103600428163908,32.49140005736343,33.69370760200682,36.649442362880244,40.224448482675164,37.99517741211487,34.13449074688624,36.40759863711778,38.8170702270949,34.33054886576269,32.828595514615756,36.56682298732734,35.772466012080976,32.154260148548836,36.01518067210275,37.94559795615709,34.67849368614854,34.27842816005493,37.60071633008146,35.061191123969984,36.95627376050021,35.18521640221963,37.25106939724183,36.33357366040059,30.859213195509316,32.59811594663607,33.31539349141166,30.43646761717789,27.609155898267282,32.25015393495022,30.6643365759573,25.465737218268472,26.36447036239372,30.36997125590727,28.33434733705126,24.370807837716537,20.77078692963608,22.60622129918823,19.746674780533706,23.34777299696801,19.180331284449142,20.52666809139012,19.558818871845524,16.24365222734757,15.35842712177775,15.318112602169105,15.362429718611386,19.319608591379144,17.272745910481653,20.302972598902922,18.413139558474427,21.070050139262055,26.183316054302598,29.032932723464008,30.244240385061094,25.299625683320247,26.45898416694349,30.296904456541707,27.47785416609755,24.801492812923765,28.86908080873166,32.02194494075058,33.138011892873436,33.52726677005644,33.7910617680169],[30.453803062287836,27.497181746953807,25.498952673919295,21.497959169673525,21.02825498117128,26.59685417866763,26.73332435498565,31.1109787785033,31.57919818334525,30.579182759395017,34.025145399573574,37.21364713802258,33.74511984639163,32.24881967285333,36.963198603833206,37.35152541973154,33.34712676910357,36.26365213706286,35.25849935680492,37.19899301259132,38.79363161262649,40.85853910837765,40.71445647100945,37.917613913187076,36.099314139842654,33.82103367367375,32.702693675392474,31.39992354032851,34.95089597228447,36.91918622575752,41.59003281163132,41.775461451706704,46.14886953331141,48.22628775712272,44.70337259498893,41.318918437275194,40.57869186833427,37.69599623025567,35.15146683527216,38.74204248777869,34.01520351982988,37.28734439902959,41.05111163810443,39.05081190303199,37.79774819721066,34.923851857999836,38.15716252998128,40.81146719170543,37.27895982958384,38.464692848602205,43.14689603915339,43.211692011133046,46.664983220902194,42.42014370147123,48.0028406329644,49.89180226852719,46.02028456517972,47.40272433435018,51.89088415482608,49.96924280310499,47.238559037286734,50.26006569055702,50.09226998742447,50.09205762720652,46.66894744271637,44.30550394539832,42.232741647176205,41.33425286009249,38.68407171238867,39.02762614595028,37.511547695488545,40.13511768301895,42.54654596371512,43.777881069084444,44.354146762841694,49.894224541754554,47.441360373858785,51.42417084783066,49.23617633888984,48.35609455408416,46.98701819131281,44.36962794805439,43.73084428735397,41.93518918202577,37.888757692638166,39.44895892220792,41.2662849194909,44.45621703538672,43.797093813184304,49.071744611052424,47.07058874151277,50.57209457687897,48.47010183811771,47.72798779862263,43.47961845022456,45.21141126586521,41.31828009723727,43.4249229189259,41.45472214017375,44.18144568657925,42.83930029167705,41.75270523727762,40.91295452959981,38.74124572145862,38.01988711729492,34.32983284678954,35.970753708891344,32.85932169751427,30.20407074700951,32.47755231925754,29.193994316653534,28.302292654237032,27.918457529152427,25.438655274623713,27.203657291879395,24.317779168302888,27.42955872955621,24.859839142408326,30.198228319478403,31.796491149986263,29.32023276829661,28.303599251105535,23.54638819446383,23.42670578590516,24.002963557993464,21.57406441267863,24.66901267218287,24.131265141984816,25.469573052214663,28.838178202670715,25.43438662068387,29.450037333844246,27.86777499478208,31.478095252195654,25.753113767996073,23.869790272102126,19.435985290868064,18.60182709741769,17.261248508652415,21.126503039631796,19.993976930633558,23.635105892622583,26.535916840907426,25.69126513092271,29.04629355760677,31.098036726701253,28.44824989202887,30.614860140961078,30.869436984544866,31.34480301567274,33.41787867169325,35.882000036441354,40.047532304971774,42.22502407278622,42.46801687588352,41.19617487527335,38.03515090413068,37.1942789632423,36.419620963560504,33.70420223572225,29.92004515734057,32.706055250434204,27.436237488791523,31.71242577594784,28.135186549882164,23.633581898482124,24.23513453451313,22.36600359458789,20.06011033201362,18.725122323500067,21.34390837392993,22.608053680484417,27.637614756284993,31.007364201790182,34.16379812655322,37.16623248981818,37.594956480151374,42.025108539667585,38.9165052945061,39.26975710754696,34.81296345129091,33.35060372311882,34.126224239765826,34.32636161948623,31.514463655540585,34.413267315066754,34.564956090754436,36.432558500180164,31.923944615463473,32.74715903488427,31.45570414698248,30.527976873358394,28.541701787430846,27.023993145393696,27.99069618200953,28.002783727444747,24.825022853102116,27.854430732870362,26.46542210111836,28.5435279305699,31.18304763173863,32.67068384341491,28.94726687609307,27.781401285769327,32.09780496859579,30.714713406337008,25.23329828336545,29.313841190946157,34.167083520657684,29.530000356782747,28.894992138240138,32.855990603586,33.02151008125589,29.263100737276982,31.20453514122285,28.672630673280132,34.088221111278244,29.031080907923396,30.58062247952037,34.762595523483625,37.21717855839617,41.36959246759874,41.71669756872878,42.988244480452565,41.121945576740856,43.39767092745948,41.440915186991475,43.3026254507768,41.5077317592689,36.228687820467805,38.040960582449515,38.8576317241024,34.625328063112754,32.92669969747733,35.05699811366981,33.06175135514382,29.298011388844,28.486913073324725,28.50833105077643,32.59516889635482,35.911858057678856,37.44416074722465,40.523185218443665,44.22670673665619,42.15923872783607,38.29123663558712,40.549130668838295,43.16724449165116,38.79328946025384,37.1786774549665,41.00769657096848,40.33423383529176,36.62494357279351,40.29846301695247,42.33827699000335,39.11740255463654,38.46566566986944,41.67686143515125,39.017930155431436,40.89869865156744,39.20165402622086,40.97205029652129,39.95573343277645,34.66358643864311,36.2082702158997,36.5807922765142,33.759632741116484,30.967400760532346,35.133419045142716,33.276932332485714,28.350514912121795,29.074648126965137,32.596945126520474,30.33789301702216,26.571453634569405,23.374850202636143,24.24448822404532,21.567960160750147,25.659096774105613,22.10048118692901,24.054407342524403,23.609186103524035,19.82558100226018,18.946514091369647,18.193923467779353,18.547375676706746,22.852277245588777,21.487663700200283,24.408829166235446,22.92494261586815,25.708450802852013,30.805250369311132,33.63432207347581,34.98036012668068,30.06101888455161,31.132536980960193,35.03176581710794,32.27922460726649,29.504243413753326,33.46490887266152,36.59705101081198,37.636949005381,37.90430778575199,38.00471790564536],[33.704563464872805,30.973085248419288,29.30199426085419,24.581550310048655,24.30018754846561,29.126575794743246,28.700754505448327,33.03253945779072,32.76333635786942,31.08057730940437,34.20335489140913,37.79963473800328,34.05673764099179,31.942236036372645,36.46793537224774,37.11837328034303,32.83855448770099,35.22179187902819,33.509959903061784,35.88903507644338,36.95002405663148,39.191806316471116,38.54572791449513,35.55670037597596,34.29938324673802,31.973768189657473,31.555361802659696,30.5478757196853,34.37808338923704,36.891143810750165,40.89233488194111,41.87760566774613,46.08846573772349,47.79194248621367,44.46690604739489,40.79186026359529,40.7262674308986,37.33774600618981,34.88471210473203,38.77066236992004,33.4590630046707,36.21908124879947,40.07411438002417,37.951998061785524,36.30259932014954,33.757752125426414,36.846341907512354,39.69164010765605,36.783414486484396,38.099754558007184,42.793183012918455,43.27817303900867,46.47418432434319,42.27372824612941,47.943500938119975,49.36298326611138,45.15795115358148,46.743521008459936,51.11987729898419,48.80353819253557,45.88369337350066,48.78452236874855,48.67002646673909,48.15148260339154,44.86799919701203,42.87933019110844,40.28016737889595,39.78082569536589,36.6714917131141,37.350367005166945,35.450233483358616,37.7139293416791,40.521671683902404,41.5486486669212,42.75574965060631,48.18234464744136,46.08324773881826,50.30604130947029,48.38161653884926,47.600355876186995,46.838392239954246,44.43423228869602,44.38192047828205,42.761301808774554,38.480137972987706,39.80329731490004,40.95586931782367,44.4607481478338,43.08040728873905,48.459136967042944,46.09227032909469,49.25922975737801,47.36372966373922,47.01759603061695,42.93864347645831,44.544346308252535,40.80381541313641,43.48929532579322,41.951705367566376,45.27526877740399,43.69887796651202,43.40203468178039,42.163519271819254,40.7543873487239,40.2522370505251,36.91937120804259,39.1343105424531,36.25094027249622,33.80522395771732,35.63377805318365,32.249405553050536,30.594481958437225,29.755800294594778,26.780574376289067,27.599727294728307,24.240083972637,26.733970152296067,23.598381540400897,28.209309822873937,30.43204097028091,27.832094035271503,27.39960614751505,22.67584512426879,23.444625837157236,24.89363896302546,23.191140040429236,27.2301561951396,26.768578633715297,28.651006150332513,31.73253375129882,28.996953089797113,33.07896594491209,31.021692833430034,34.28637052127386,28.40741685192114,26.170563933443173,22.537651713984886,20.433707637691317,18.131381001671297,21.547717101474305,18.945739492235923,22.20986794155875,25.38936226385744,25.28837441276882,28.710080251601337,31.008911265363793,28.626353130827297,31.260655265826195,32.18701808098998,32.76856649553136,35.50048315153274,37.670605877721776,42.18541623511202,44.22437229728776,43.95468942841915,42.73599926757359,39.28412752932392,38.9490200853555,37.54863879490117,35.52880180030799,31.376585840980482,33.35295007172001,27.977463462888846,32.20906183449872,28.91866413738822,24.144933951061773,25.699746856225044,23.603614124987157,22.219892365909303,20.469187955751263,23.45676942253701,24.046852863739954,29.061810867271603,32.44946626275139,35.40811261876564,38.671433311642026,38.589461111995206,43.277732599045045,39.97977242509807,40.80612538130661,36.25453581753123,35.46730340185256,36.351272778422945,36.450819692599275,33.313511509247185,35.37784043689398,34.907491099531256,36.80343510216862,31.785460559333064,33.418362696470254,32.53276356008967,31.90820976512049,30.65723941362259,29.677243561315183,31.15401154119441,31.75869053980221,28.789928377496018,32.13050994879773,31.11640762495322,32.846175318690776,35.93387218992009,37.10629183031693,33.219578546888854,32.61898219416586,36.94912590208496,35.200274485157976,29.969057775949757,34.30672572971977,38.87623726000387,33.96086491307865,33.61147965090013,37.60047929857003,37.311773164968095,33.508474240369175,35.83313653352813,33.56057147982975,39.06675820221845,34.43144901863989,35.91549736368506,40.08205807024465,42.7289538356091,46.87358227718817,47.29048414855682,48.41798512778313,46.482374425125954,48.65639741618625,46.45525974887781,48.40172900602487,46.83236009430985,41.4205763490765,43.02911402828707,44.01729371329404,39.92445019627036,37.994019437675995,39.905409131454824,38.23359085639097,34.5788499479153,33.214788940111006,33.484258144943745,37.0495306343936,40.54426933822249,42.18336690358465,45.00015606429897,48.820690996941465,46.3728388524386,42.556136431760294,45.16614130868319,47.50092398140407,42.9056786372224,41.6539842960897,45.38401331838238,44.474780330247285,40.9533511819524,44.920387106125766,46.74560249260166,43.30878068566648,43.08088028338993,46.461382226669706,43.96846789568977,45.908209268810396,44.11316786242122,46.10477409982111,45.20755071425451,39.7844512908893,41.39602619386916,42.00199073603943,39.16817387850957,36.295307574740406,40.62332442996725,38.90702477300878,33.90401885914333,34.54269334644159,38.19549329451937,36.030154699252975,32.250473297900456,28.98594785939532,29.926423732118238,27.139484644676006,31.126761456802576,27.341516825203225,29.220124565172554,28.223864789528427,24.615046458941652,24.058372570779415,23.679710470479023,23.942590313501555,28.07796677160962,26.075119216373086,28.75557883185589,26.64288321622677,29.634029722083604,34.53666208426203,37.59384873914956,38.35378710038315,33.44939720580672,34.97233733993479,38.576356352333995,35.208459908087804,32.80140175698602,37.14960622024549,40.05424401359432,41.157107296301774,41.57078686802937,41.677499419903654],[30.873779476725453,27.85891415370863,25.491173925436907,20.951014545236536,19.50283353852622,24.594707011705406,23.781901144813876,27.920315703150624,28.105232291130967,26.34202190881212,29.65250401252188,32.96344318249218,28.94669654247658,27.41539062251425,31.84297983608989,32.11780586022031,27.847061034787874,30.43738580530485,29.138230048246797,31.070650929632656,32.539941848917955,34.63112583130219,34.44462747923082,31.686021188858433,29.869773168052184,27.554375280168088,26.56544516087288,25.432732988923654,29.16921007385989,31.476961170429206,36.00496193821575,36.52031460913506,40.86904820628164,42.63184530626741,39.108347142031455,35.54085398276704,35.10394529955725,31.868673688069343,29.33690752867541,33.13852505796725,28.144032253762713,31.191415386253865,35.03144348634113,33.090274973052615,31.85602940716175,29.20469544476737,32.575737960472175,35.0636110901211,31.66302363758135,33.21967935600719,37.75769255017995,37.93176761027496,41.18843791764732,36.840182840129145,42.41411306376149,44.16474307418251,40.11694873923879,41.480221946014396,45.96632446496514,43.997254831173684,41.11421231992931,44.07207199329738,43.921582505752994,43.8258428537528,40.422592019613454,38.121055888913496,36.00843911069776,35.255467437675236,32.64566527720479,33.250422015472836,31.74708774848801,34.4660653601573,36.749627099189894,37.736475183333845,38.389151746002604,43.817880245778106,41.34054600482986,45.411592734023664,43.25269732502011,42.37282107750533,41.261063709888475,38.7512065603428,38.450111907829644,36.78577887464191,32.57771597037095,33.97565176290412,35.450566934807625,38.83191564230601,37.86573315668429,43.25746943363547,41.200062686293656,44.67464794682401,42.7577741945327,42.24086805591311,38.161081710246904,40.06088216334075,36.35484088117492,38.48096486400656,36.83048851407875,40.03090171548935,38.14446065462749,37.62959315718086,36.25055274065613,34.7240108837451,34.04982854212906,30.804880543461834,33.08596982656926,30.241741212290687,27.973113702750403,29.736436569048706,26.528361182029503,24.64871705263027,24.159434881316024,21.020664501678226,22.251883657721446,18.982924825156925,21.696036991156532,18.83761852659326,24.057771565128633,25.91944469134451,23.616232822243514,22.95547500050131,18.25362969000078,18.598696846854814,19.909790988712036,17.51654326138687,21.761954823705604,20.860389494576474,22.72935150728825,25.6067005958643,23.101156720502292,27.211944814159168,25.0889378891477,28.15647194361477,22.279830419848928,19.96150317494528,16.52784568541794,14.231973165343078,12.111918999148328,15.647477466435488,13.838403255051718,17.460901863931788,20.379472833898717,19.792727788575657,23.18476686462862,25.415535043412387,22.96161366505692,25.544947022991476,26.31992096181596,27.205742549128086,29.862865850926116,32.41285520973083,36.75868195289346,39.272030440645636,38.88948351341605,37.32517074138126,33.831403167326954,33.21752455887057,31.811424364319354,29.50617884155285,25.26316631756469,27.429485833351045,22.03467041578114,26.31222744980264,23.045311876959293,18.419430947485022,19.92241156816185,18.34465030069579,16.72433109613553,14.540857108899948,17.40947282050954,17.887062327956283,22.930686093447783,26.290244902155166,29.28614580726227,32.52122824888821,32.6190973239421,37.19248358853532,33.909558501469625,34.640641569590656,30.14416814357641,29.242176746855773,30.224043389360613,30.483688851055057,27.321183441785426,29.592013640132087,29.224691570339367,31.369053366676056,26.76422534295368,28.170051864261662,27.445305133638144,26.345596373973965,25.14293690745095,24.022702963594295,25.5449265635612,26.396037947839158,23.29525129771666,26.72497152641278,25.990039388280863,27.404263216049102,30.901394255476202,31.899507316587055,27.989399729102608,27.94567498789032,32.337799806568015,30.556406903549483,25.805274207152383,30.33862078313565,34.68992970553473,30.08765036416378,30.207818616900745,34.2352923770447,33.79756416607508,30.499339018973494,33.22947888150589,30.8891888042503,36.30818433303648,32.0116028758276,32.79284965666658,36.94803222627526,39.48939004576356,43.93617856746695,44.02826469719507,44.58206144477338,42.34177109695004,44.229297174499436,41.63596523589699,43.69804412561416,42.55013214472898,36.91140916595316,38.200948370755235,39.58852185574488,35.729334773268114,33.37918657967044,35.13203783419609,34.173239673592136,30.57301179221035,28.4134092532292,28.734564141610946,31.669875610447328,35.30466702556449,37.05823078494482,39.5983580584097,43.58392489196071,40.84156814922043,37.088542672022506,40.11013207816448,42.29635476122168,37.624057250643595,36.77046133845944,40.632682614513946,39.76495090816136,36.492707132298534,40.60581605331073,42.51382095934333,39.32168597979113,39.29381377236365,42.66303162077988,40.14880007630617,41.757945537195596,39.592359705641876,41.69705067819058,41.296255708100254,35.738098451528224,37.05373832998962,38.17446892202569,35.534182503500574,32.231757162652755,36.80418095412242,35.7308341400854,30.54055931630199,30.74794951751499,34.901422669031334,33.336990793245846,29.478175853620115,26.239655777249506,28.069903758542974,25.594685919181263,29.319898246907336,25.216905855101434,26.185049874190053,24.997311620380458,22.121224041310512,21.052261503539167,21.00413224189351,20.419220121976903,24.043204801453264,21.33213462337209,23.48872547262776,21.2115155815638,24.701612275775567,29.223721363247012,32.50267424741961,33.117726519002304,28.37545584001553,30.40604052572106,33.97574306314682,30.439153323853347,28.66579145360178,33.17561337524689,36.22118049370689,37.41905025712459,37.9477497014461,38.34897875944494],[32.200090442197464,29.012857969176775,26.300369042351416,22.356882978605825,20.460127067247893,26.170691069701423,25.542856724682363,29.59179679839237,30.295425041295733,28.724876291556427,32.16721238434678,35.229772409132224,31.117430311771844,30.02446560338881,34.35586914832775,34.35338116742653,30.086354868910842,32.66713597349703,31.37535218340718,32.892735286936734,34.34967202531466,36.0350116720939,35.95985815665446,33.10042320839528,31.208136647598202,29.307002504018275,28.142503506407255,27.28980535604201,31.05450065134032,33.282257103796034,38.221535020750004,38.39106638261613,42.8427717903823,44.55726104797291,40.837956252518865,37.30146539910554,36.56283799624811,33.21526374010804,30.42864460930728,33.63873739233061,28.876419043576288,32.37261158047025,35.93207386488371,33.75044392092942,32.44107784199747,29.443114934511197,32.61869668800321,35.3164863648791,31.825519356873425,32.85464083672154,37.582551557578505,37.733877114951696,41.206054776509774,37.088445888986186,42.790875069205946,44.534740626263606,40.729545936563,42.343966401668915,46.731840706889834,44.67682577122327,42.17931183794665,45.44064430546944,45.52896890472026,45.48104332754501,41.89452952413627,39.664351613822795,38.01976792014463,37.38948370145523,35.11136554718317,35.876634911347665,34.53567225165172,37.40209270289294,39.46935302402618,40.23818574162083,40.72009842419383,45.99984893325097,43.19982733598797,47.230839237312765,44.811468064715,43.65175795382039,42.33512130903201,39.473946964782684,39.15528365694967,37.09799727029541,32.98917890049248,34.84275901714953,36.575748860824355,40.069789134283894,39.44810538191971,44.97578170102091,43.213936200285424,46.886935566981,45.07826186633399,44.52850242784522,40.50823651373015,42.605573963524314,38.94756925132509,40.674957000722955,38.914049573770605,41.889775621639146,39.79813456554688,38.8812033371583,37.399187613402425,35.50003482896046,34.251004858792335,31.076878139891686,32.920055001636385,29.750568513318406,27.691442376231556,29.924896898594874,27.04273986918142,25.452891436502224,25.577905469774432,22.502441228991977,24.296767237057917,21.169160474010585,23.90358434649341,21.114562537713798,26.427684547402148,28.34964121343387,26.324375448671788,25.651360378547835,21.045293524926812,21.113249637432638,22.131812363207267,19.026433975897646,22.87786389478235,21.477349883202777,22.781716314535963,25.44032919893813,22.31842589025621,26.15131641254233,23.91226699782615,27.48224123683054,21.628888738386724,20.006413607793025,16.13786747013577,14.717749341463486,13.448067186778852,16.912770291505968,15.591906605125036,18.745168689776023,21.930647992811142,21.222702691989106,24.355586916633435,26.882072207938524,24.523023810443977,27.109415606506207,27.610516932783046,28.794185128212334,31.097898149586616,34.045466937974815,38.103268467509295,40.936414264543835,40.729759905725246,38.93811355397041,35.52302608467544,34.4949255540626,33.26133632410986,30.38738187083292,26.029030307278088,28.468391392245202,22.874220947020735,26.884689539885574,22.98399598521753,18.341312774900796,19.037097941696185,16.958157632138064,15.084900973742789,13.748089777054757,16.658642049165994,17.969283522941407,22.917276109455894,26.46770619175561,29.7526005219555,33.04431379154636,33.645261367902,37.8627501667811,34.379030664345905,34.808577541920236,30.055703354723352,29.244210682646113,29.59988499779157,29.54100029675398,26.60667897667845,29.155231167318377,29.30513864807915,30.95084059009182,26.32181908469687,27.223588779155723,26.026143296911,25.237490094602528,23.561960404543306,22.41934087649606,23.810307583310948,24.408145815653647,21.640289301183536,25.149198831554557,24.586705534994067,26.554424839700516,29.83183014201399,31.32932882291058,27.62356732114023,27.16741622825777,31.647781832003172,30.39485890298337,25.522158508087323,29.785039248587108,34.472150141366896,30.284341965877683,30.175829477409252,34.17652227547458,34.205246136040806,30.997809560405052,33.34378731845971,30.709809434547946,36.00382909254367,31.06826201069384,31.920536579310628,36.1040346436957,38.20785264052298,42.72378908642845,42.54539090862539,43.23243188738468,40.8957733594625,42.71918655658927,40.28955931260615,41.99173934923476,40.731484981091135,35.34494259797473,36.533049417335775,37.50343350103849,33.69347701756689,31.498125500232646,33.05480559885635,31.743999248771892,28.305016204310594,26.302757928154524,27.08339793484023,30.319167057002716,33.849475413256755,35.92228469153294,38.618383936836686,42.7477777117855,40.2561481307714,36.48440632319678,39.47415154420871,41.97513187688556,37.50685112680588,36.49752643378814,40.58260793157159,39.99605075324865,36.62586367605869,40.46190795226519,42.64942121037936,39.74117767424823,39.31350252346458,42.479506213063665,39.73757860826765,41.13955820051082,38.91451394004652,40.66557749122254,40.349254101576335,34.95572460672227,35.902474665200494,36.82667319153348,34.34309720231367,30.886316575622516,35.05556164687523,33.99339732955577,28.99452614473361,28.851319446644247,32.75256786079489,31.266757672495956,27.56561168113225,24.75279535423737,26.193347855503,24.147241911174245,28.167830333631855,24.555620382738056,25.604863725421062,25.103982119249828,22.076422198252164,20.546649642231266,19.870336977691608,19.11847432907227,22.895728481450867,20.838915451519775,22.828578629453023,21.30893445264583,24.99649901946107,29.481587735747993,32.694202524856955,33.767893294629914,29.109373767260468,30.97756250430941,34.792173591342255,31.658455406179627,29.814081156902024,34.04937889683651,37.285104226338156,38.420400962296995,38.80223335832758,39.185478713240386],[35.83179261293182,32.732171441100995,30.19119172238158,26.056625987296155,24.34665680717721,29.853108734265366,29.044687426210047,33.06503596522606,33.48059613685916,31.564734436095986,34.84370198761871,38.09898425107406,33.77142057664808,32.403275723542485,36.57227748034958,36.644140871920136,32.161249023475264,34.31205608274673,32.415648806529326,34.059486285481846,35.03117778421738,36.59188143853929,36.127127317714454,32.99121867501927,31.573202902982924,29.923292732158096,29.279704453722708,28.86544394213727,32.8905395708479,35.51656850693857,40.14884172689199,40.760854434276894,45.14282908572728,46.540619061546785,42.86598245048459,39.10883177960753,38.742590093287355,34.906022198658476,32.033260476221166,35.086844490455,29.963547319162647,33.314049780949496,36.75384558774954,34.266283720834146,32.50446565572038,29.5367664209285,32.39595621600063,35.47517465717858,32.518782348797956,33.224030932411424,38.12188285631128,38.65552353677271,42.0592670662788,38.176529386579446,44.04774093883807,45.35659585721176,41.43595919339505,43.43041954072822,47.64285190615173,45.155297995080765,42.7821280710987,46.16553069301016,46.47377356454384,45.99276779621923,42.39201201981923,40.551661731403875,38.754199629021045,38.55508491674141,36.07706279883075,37.22313253659812,35.64544654600181,38.299350297552216,40.58799125298541,41.05591728484738,41.97629064458343,47.07698113377826,44.3692814225284,48.585907604144694,46.219218806017444,44.953547644711826,44.02091399842167,41.10241767155878,41.270111579845704,39.09887861790827,34.873039330233006,36.82743734144252,38.16074003965757,41.994749786831065,40.98590462592549,46.69129735319627,44.80438088336582,48.32257931467954,46.74344831625651,46.490537930869806,42.62591209088405,44.72091203787169,41.18917507888451,43.1702879380557,41.66501429486094,44.94680389335108,42.61552822216741,42.05276773122024,40.2495345779436,38.697517557504995,37.2964099406534,34.42212736561614,36.38471109073554,33.20167520618477,31.38378233782843,33.57505995758328,30.78013532053649,28.88659355311507,28.95394579549755,25.603929407529854,26.95701851138234,23.532246819495505,25.79593985856672,22.549256852518184,27.313217167512725,29.822637884278468,27.831846197163063,27.612675332860427,23.04481227915572,23.660323563012643,25.158741791365195,22.318207648074306,26.556544884702866,25.068124113681026,26.44412439348404,28.803210170374953,25.80092022447634,29.448981409800467,26.855070863164908,30.460637771152005,24.602855426636086,23.15326370715815,19.67359441799209,17.83451396896639,16.20877757225268,19.250499794953118,16.865449278625693,19.36412490777266,23.028839123895295,22.924956641160207,25.954649503491474,28.877476993509955,26.79413597233331,29.74344372521774,30.602560570848794,31.971781804122624,34.54360303555445,37.442161261199274,41.60326787845457,44.44053080442974,44.0128849415911,42.18438239322064,38.62041876464109,37.7531663314448,36.18122979048175,33.52893306172739,28.873026747660933,30.820344005986403,25.04397867597436,28.823726387351496,24.766733392769538,19.9080908672268,20.898039152645058,18.218241084981674,17.11471294267873,16.100395601936256,19.26306882528482,20.502022902317222,25.30172168472081,28.953239493856092,32.23561136204142,35.74864962500295,36.24808358021635,40.44215803794457,36.693712334514714,37.30473081477599,32.33264564645347,32.122826104271056,32.144862390019426,31.766975172345813,28.76843634146283,30.763097619777717,30.740831720884007,32.003625664462696,26.87195722029256,28.136222523242086,26.917315538665953,26.719063221697077,25.34242362515892,24.676675470680266,26.334984509543073,27.137397278747343,24.82246212885049,28.492070745781387,28.20882446696108,30.312773788050407,33.614449606537676,35.22352005695697,31.55722846382715,31.08809711736995,35.581315947527074,34.40460139679509,29.503242776008836,33.71281864756993,38.462345799645355,34.252952231391475,34.0673673867351,38.066049504929694,38.11988457776777,34.798841152673724,37.063659027273495,34.42573953669814,39.74023735287206,34.58689227418707,35.63934387983224,39.831920738185254,41.82061123997307,46.28626493901584,46.0708499186579,46.89630642101116,44.54300997105145,46.32597039807095,43.94932839895276,45.44375879078903,44.161064395148486,38.93694075360153,40.00502646234165,40.71498050020571,36.99600818808896,34.88074957343321,36.19612012942547,34.69790030506591,31.453680051509593,29.44367522237813,30.63217350196912,33.83138647526477,37.344794839822384,39.6342610736874,42.30047858940241,46.53315891697959,44.0224046437779,40.27961116266886,43.36669782362119,45.89617104614737,41.4375803956353,40.47995432317129,44.58918397188568,44.006988781398015,40.64342254540412,44.465117464931105,46.660031662220085,43.72367632712656,43.2795414865271,46.43522479793002,43.66831640012155,45.0658222318763,42.841627997069246,44.48868461763008,44.172772359290846,38.842261329296974,39.69151752089516,40.50503664283857,38.06124646184347,34.60032537521509,38.54207408981434,37.39804782549764,32.539385155934525,32.27138033157129,35.92820850931885,34.37980038326288,30.803343765384636,28.18971212529322,29.16934973566867,27.198588477015136,31.422601752810312,28.030290224773175,29.355872768848823,28.947348986574386,25.712629806997455,24.286432714297813,23.40189939974543,22.812722243019362,26.702830062957712,24.823926249546084,26.714106092752434,25.232378308928652,28.990805101978253,33.41400874355854,36.671523322504555,37.6538692038468,33.0204775654195,34.96194600162685,38.73505620673879,35.46887117607573,33.66846249752232,37.96468881844928,41.138712945794346,42.25419689298076,42.61086543391485,42.916436205855334],[35.12504132110934,32.10145814945672,29.557141670302087,25.016808027604586,23.052690871322767,27.94360188626338,26.59167724835159,30.436172172006533,30.491685717911793,28.11752191079795,31.21382744887953,34.587488368900644,30.04866134510072,28.51286807590398,32.49739793369257,32.612467920185864,28.02044980742324,29.960700969439326,27.899492052358855,29.705057303200384,30.61931430121744,32.38699881929193,31.866438089181774,28.810010145985643,27.39977567730622,25.53103742623626,25.039585508001498,24.619138445355603,28.716265298662876,31.55186148862525,35.900263348058424,36.83200813342722,41.12967158668111,42.37724743404254,38.80336981385176,34.95219137343486,34.886011148778366,30.926310390619893,28.19035165958809,31.64383688048045,26.27126096351155,29.274437485573614,32.89893571240067,30.581258547682676,28.89531274895133,26.232974031107474,29.314853929737854,32.15530017194968,29.281875928325725,30.51453879082745,35.21195246188617,35.786147558329745,38.96814598147995,34.88930446378525,40.6744997575924,41.94112783453673,37.80232031619024,39.63298895024373,43.905827597527505,41.468898197978895,38.802806919344114,41.994699105464335,42.183593987995934,41.65569391043281,38.15256649657224,36.289826227007865,34.26613443867852,34.083233389746965,31.504944231731123,32.727609573054124,31.10941847229871,33.75285967908168,36.03188231230649,36.4585246928159,37.473189685352956,42.57107846451001,39.99202811895811,44.25940443755981,42.0303586592385,40.904885516887276,40.196740194492726,37.51921210389423,37.8630782138027,35.97128593209427,31.626697905694904,33.25748578462728,34.280784933677886,38.14626845466914,36.8219440887979,42.508288256346944,40.46858987595373,43.88143933705341,42.35423064956005,42.231428659441214,38.45389546381642,40.548243317651846,37.12640364459935,39.25835804356943,37.983493089770676,41.58295874072154,39.06824752477671,38.990165641619924,36.961388137841304,35.93491780041261,34.84449960448097,32.19651387169137,34.681285144947324,31.829600229371994,30.124149376208518,31.805518716478527,28.944263417883878,26.438600733145158,26.19850975734866,22.528487792541345,23.313760577370648,19.677646800237532,21.60778173318392,18.17324915985839,22.75560161167392,25.39879338928079,23.43741253283176,23.46094790009581,19.009350680669794,20.017276222133138,22.016067554463127,19.551177269466137,24.437354274309165,22.989945263156056,24.852125188912122,27.01160817839244,24.819347206078838,28.609675889706086,25.841811107601963,28.855943361593425,22.982754131976513,21.00215244949162,18.359568824809706,15.411123878354216,13.073730792156255,15.73552543954522,12.64216382906294,15.2196722173313,18.807221749936463,18.952221345695392,22.08003065003536,24.97184435115437,23.00152793292718,26.16209290653787,27.423221972594312,28.880366617168157,31.87417615084577,34.61319383718587,38.941876785489,41.79152969710934,40.96698921292381,39.096964056396025,35.35917746138585,34.79897905477403,32.828068604317835,30.677738862842865,25.87791131625556,27.32238399431566,21.619046507590628,25.480398129298234,21.94109485612118,17.054579995525067,18.992551159281106,16.818195139796757,16.247327468651342,14.323782298239822,17.537434120187125,17.90408044089403,22.67323968251821,26.18775123947281,29.212518479584226,32.79614629477345,32.877197272479805,37.2870412246797,33.56848349701827,34.52645160908526,29.69941223330404,29.74289430278951,30.200792720914958,30.04231204067697,26.7534163116449,28.257956978675836,27.674165393167172,29.377657659354853,24.243218434842746,26.106573728783015,25.496904714008902,24.974128835234872,24.29945509225353,23.839229720383845,25.83110836578857,27.188829364604754,24.724753522681514,28.493937997417078,28.42560053269281,29.889835527876546,33.6873639864843,34.78406556756263,30.96547537087544,31.24496893530885,35.68958265345971,34.07075892472966,29.629193524640293,34.14374472047287,38.45153127812735,34.10127119030647,34.38480136415926,38.40087233205359,37.94693269028368,34.838736923416505,37.64249058104341,35.24559104464748,40.59785347592263,36.156874005234656,36.792990393264574,40.94300073013793,43.20700182137298,47.77444837264262,47.58338391903009,47.9714098379205,45.496060070946115,47.12062771373515,44.34594802236171,46.148891532870564,45.25430501108732,39.72152788039713,40.59492867352797,41.841937422568456,38.28365923517527,35.76878108998441,37.02672793248277,36.268417171283616,33.00259058855995,30.269047512743107,31.300107077300936,33.750048268803944,37.45247909977553,39.65097729557491,41.95263857209896,46.22143948932432,43.25725059165499,39.605591086763745,43.06365929168555,45.20226000729633,40.523753875934986,40.02536020943951,44.01370047041824,43.20435153965983,40.128110620078694,44.274200143482666,46.25703203564949,43.22149794476283,43.27518716681194,46.59192964990911,44.02153197158352,45.38378973464733,42.97032151662474,44.963557301346825,44.90588558992036,39.38084577218713,40.31265773163828,41.597767672958234,39.163332845368544,35.55832161542253,39.915882409188924,39.151163893638916,34.065047570441756,33.76312094090278,37.87408559482875,36.61955192314244,32.90286558709644,30.018319392130795,31.70120443550415,29.567395585504485,33.4462172206443,29.53955581452296,30.354868951875833,29.285184408222804,26.569771321574997,25.279644458208914,25.03070012688339,24.114610543558836,27.575303298936543,24.777522052371886,26.352386913701284,24.16919321415,28.11189448793963,32.200156895466684,35.67203811409328,36.06960441461742,31.551312287331836,34.01172557326954,37.4720613622823,33.68254366977925,32.4388039972538,37.06643859940618,40.0871216245974,41.29874871900795,41.84672260278274,42.30809670648932],[33.614294534045406,30.361984061782113,27.245935733486434,23.34556239484103,20.465151472392563,25.878800604540302,24.54173215416666,28.183545726031014,28.95826942242214,26.861701802311728,30.19015196263929,33.12795557244869,28.51291403232658,27.739540337540408,31.64636989425443,31.330755597081826,26.885542613075305,29.116607718153208,27.596186016518697,28.758788812096654,30.109427416762443,31.52046426962375,31.525146444904976,28.6767676987109,26.684542028642486,25.05729232065058,23.85442904715983,23.386308959599546,27.297101304778142,29.7584827487463,34.81507574891602,35.033976370373026,39.49632421218405,40.881453765156024,37.0483881492471,33.39346854401992,32.72572979808608,28.99348720994888,26.053384310632467,29.04416841155699,24.211436906965147,27.808640090012716,31.238639817344318,28.97419832680727,27.678096962909777,24.660942223844504,27.874084442151187,30.50376493548906,27.035736039253617,28.115228704088562,32.80808207493501,33.0195029573295,36.441370404430636,32.35869482828553,38.12334237414044,39.75945036350818,35.95345256628271,37.687285839186714,42.01733082926492,39.898768252964025,37.50459264314748,40.89566357783388,41.1457363978279,41.078716724626375,37.39599251010747,35.249827379418925,33.928802583608906,33.50044187065802,31.547708958387112,32.64892468269003,31.477459308587097,34.516696674738675,36.26137133883737,36.65790523369792,37.04984039347963,42.09597765682155,39.052205035495916,43.10814618437704,40.54305898326689,39.20252999504688,37.975508948215264,34.99211364520587,34.97281528153271,32.79383968522044,28.61126558013376,30.607423974040817,32.191487223307064,35.91900311946673,35.263406940743,40.9598441513625,39.36731085821238,43.142106459920804,41.58010923514818,41.20581698809459,37.41443457398433,39.785022125429734,36.37203606079599,37.80859752326657,36.28356993769816,39.50403639117192,36.796726733010765,36.15605884745886,34.111784204355416,32.60284995505805,31.04037413861766,28.392438565716535,30.548077242786796,27.495209207727015,25.98801234131135,27.97030567665728,25.442205588846655,23.128148286617588,23.576031572925665,19.99580708860436,21.62142578176684,18.331796160920575,20.58768212477564,17.65938611168356,22.829612098611157,24.986477531145173,23.4034343252923,23.069838555944905,18.777828690939895,19.067718930368407,20.527514430588273,17.080619039494934,21.592463917442696,19.551594900688613,20.948641025180045,22.878288842713253,20.368754565613994,24.00390474534692,21.195591742004016,24.44948282525798,18.579810648737478,17.039913430455428,14.168319059332973,11.854084594809446,10.521761593901097,13.274210349643228,11.70392643380385,14.332544015860421,17.680762776039973,17.134420978857154,20.044315421090353,22.951118747817475,20.907845402026048,23.869624883720142,24.679120816480903,26.453374489279906,29.020514494720846,32.25228591719232,36.22137823313102,39.523569899182725,38.86615373059849,36.68305280002902,33.06105684707623,31.983499637927288,30.2839285988755,27.46135469139991,22.635006701594815,24.601186587420607,18.797972360882966,22.562994931910517,18.553052456285005,13.786293373835118,14.91345202522834,12.86683751033162,11.703351442334966,9.996252997650872,13.152865346992254,14.150537707921446,18.941595830908106,22.575542788733816,25.864075599713594,29.395138439496762,30.00986495556549,34.090601860121296,30.327690548302474,30.92489524984761,25.996988484929247,25.825378805952305,25.976101593029206,25.779821528181976,22.65363066303283,24.72644494131824,24.697451109524305,26.308419937703086,21.606819667046537,22.761533659896823,21.875386360409674,21.06657402950749,19.948805137737896,19.234537642982858,21.104465572221855,22.403630093208584,19.995484253112256,23.82221240130196,23.99319152844025,25.583813269209028,29.432545472890624,30.723181961644677,27.060481004137394,27.390206397626088,31.860909993655277,30.57308881447589,26.399078014907655,30.77649453784649,35.11050109907733,31.25696094887693,31.649088441900222,35.60823294215906,35.38202286680288,32.653010893909794,35.38904788740725,32.813834133416,37.959938927046096,33.4171974462701,33.67914587075376,37.77900085769101,39.71964293282747,44.451457483584655,43.93767654697426,44.07621722880304,41.40896685705033,42.843539403906696,39.97168322973808,41.64917509926945,40.91810901876704,35.42615629705561,36.08229408625038,37.34138085722699,33.9513615223198,31.302572562055257,32.39222967433611,31.87540644825033,28.73756345138749,25.657419584908382,26.916814648944033,29.169322343019846,32.86441778244157,35.26620173097157,37.51686824262304,41.92122442504417,38.991659183128334,35.36989276339338,38.97739149584673,41.23192110451222,36.67627384888833,36.26986429625322,40.439445152345925,39.84669817629608,36.85352347140505,40.85680282615018,43.0503608876545,40.35859813074805,40.24858537058246,43.39968939448505,40.69995048538503,41.74989737320679,39.127284413892745,40.961206232828566,41.2137952461189,35.763988552277794,36.31762549381739,37.76622872947273,35.55081379445778,31.66806871744629,35.905924559640866,35.52115874245811,30.499797066514496,29.775585474478586,34.00572654140616,33.15512149238922,29.53107930101951,26.938773688818145,28.926415543371483,27.234066030591766,31.00681493436474,27.272142370994313,27.584966822312882,26.842354130431495,24.531040805855234,22.72439691433553,22.339922795419596,20.84985904155527,23.962241784923542,21.192079173132626,22.306632411268268,20.570179211816043,24.855016471399352,28.660674668936817,32.160361916771265,32.822221562847304,28.488843479562462,31.05386079393684,34.63903094348778,31.127159488105463,30.15219751709686,34.59642544256113,37.79604035173096,39.00453888082294,39.509755971227555,40.114251142660635],[36.890960390481915,33.56452902053822,30.383200816741653,26.878532610710124,24.079387288503046,29.94481014548849,28.89979428291048,32.55113275716658,33.58276337358029,31.632985968353076,34.999787612963495,37.856534875385805,33.21604418830274,32.569427228739315,36.40768052502721,35.9837229116306,31.510712335519845,33.558987667657455,31.76554392599341,32.69792124446493,33.75008743296042,34.73166032332279,34.58563614199942,31.489683506742338,29.774695804588944,28.674448519301855,27.656208413743872,27.624950755231122,31.615983394103097,34.143908408595905,39.32126679969875,39.463378173585966,43.94674316181825,45.178124669990694,41.24159298586126,37.54866305691743,36.80086667991313,32.80935218751082,29.646467513831976,31.926268739656223,27.21235459677226,31.096154906047314,34.14168328091302,31.47205142390872,29.81523273432576,26.484969486855213,29.204400388293024,32.30661889404105,29.133765228241103,29.361931753341075,34.34298107666124,34.76905976903617,38.36685765293875,34.72478734338131,40.665034844732624,42.027627130270865,38.44351010407783,40.64184559272304,44.736602334843354,42.28317740066865,40.372107572858425,44.094645142171416,44.68146290088269,44.400768961749456,40.57632070165215,38.742713150528964,37.718801294109205,37.619509275836805,35.782859252791674,37.151381329379355,35.94459627974442,38.92508225037217,40.6888695593962,40.80580207551186,41.32207474144353,46.14879666140777,42.93134693428138,47.02614346145559,44.28965547254872,42.6570152138201,41.44653979381956,38.12236510125637,38.31441734305592,35.70642404814605,31.63024831063268,34.10193997518198,35.7194251088971,39.669870510302694,39.13586575257955,44.984074559223,43.56953742208581,47.39130976193492,46.011445397114485,45.73606001571326,42.04799511563039,44.50883705892322,41.155543212758396,42.45520794237647,40.91888888165875,44.02161585926291,41.17201165489758,40.28439290226695,38.12360001091589,36.36595605753485,34.23245498706615,31.737970876548278,33.407124162177446,30.018644748455078,28.75673295694995,31.22309607762001,28.999338952693527,27.031128684206244,27.899085114922464,24.435568518980812,26.318881254089554,23.08429398412223,25.20014760758255,22.164733557877163,27.03968595525832,29.49776502622386,28.053550038524154,27.863791760454795,23.601171319264576,23.90190622223125,25.231277295180035,21.5274753809777,25.62583284626112,23.326576918096652,24.16905587079202,25.85342200673565,22.66867736149493,25.849638024806186,22.875275537535735,26.726333203228727,21.030626301004478,20.375138545797423,17.137035704891453,15.81033967726529,15.104167287798992,17.648052200281235,16.01582916297303,17.82596845106861,21.574862082907323,21.259131076532665,23.831427028081208,27.09352393263062,25.257118932384248,28.26674877162206,28.929834044543416,30.882049140720756,33.1756895372423,36.63053007898023,40.392913396421626,43.8398732838824,43.35039977849586,41.06098858495617,37.51070184753083,36.1647644930499,34.57952869317049,31.36732384817563,26.469416217056953,28.49545269948681,22.58233679109155,25.890142975967493,21.2238470458919,16.520862879822467,16.72193895621248,13.636722909845963,12.630856751646345,12.477675159522956,15.58664116472914,17.498529720355872,21.937500140946312,25.721211966725278,29.241083517320536,32.846877453206936,33.894544746509574,37.586367638485626,33.572276670231794,33.914458160353426,28.69288793920476,28.84192156491423,28.14368633427005,27.406684200251096,24.606406748472455,26.700146630098743,27.188701845826206,27.952636054018807,22.974672042621464,23.684252447600166,22.12946390031633,22.157867174535696,20.554085894969173,20.077383547463747,21.831177178577928,22.790401834264557,21.05977101688593,24.928224020309653,25.294689813758115,27.62254278226007,31.056873439412957,32.965909277371644,29.567186220693454,29.26643855272783,33.782985643542034,33.08157122896916,28.63029423472617,32.63920159955981,37.39123672788823,33.85428964441177,33.84962411851957,37.76714112068018,38.0603299983506,35.22904053372931,37.44934051510794,34.60012925132522,39.647269183524315,34.29544855145626,34.88592343380065,39.00867846373723,40.46721388345477,45.15807278243912,44.4281656460038,44.9159110560716,42.229235346989825,43.6524657277576,41.108772652376565,42.266151094640804,41.284527753299805,36.22905175600718,36.817249465084075,37.379645291472784,34.037212176766516,31.73426079692479,32.54072118306733,31.340496469668373,28.48110063692049,25.83865304418646,27.75386821106161,30.509395576652953,33.99807293433976,36.7773432276167,39.26244291945833,43.78042489030392,41.230358825170406,37.59988597225258,41.04829676959957,43.68686161348476,39.39710484300123,38.71137279685772,43.06462813702399,42.75341400024917,39.58602651330341,43.24418731540987,45.70103286290333,43.21779644164779,42.633454579690955,45.57103287447508,42.63675827617567,43.56180274113992,40.99624775057574,42.37393467202339,42.57329162576076,37.37911452797482,37.591170246941736,38.63298117258518,36.55630766391312,32.65083988815958,36.269886722031764,35.698675666882544,31.01666882998855,29.98446328617839,33.675866393076426,32.747230542983985,29.38974059463275,27.34242483427558,28.512741900397884,27.247250688737804,31.434855637514755,28.36358147597827,29.095631447278546,29.10735281733585,26.36812186996188,24.30882703338686,23.155022070948863,21.80839493035295,25.24076468479202,23.45358573532948,24.562141895463384,23.677506467092492,27.938914648850762,31.82365478937287,35.17033889777302,36.3254195278666,32.02746646558875,34.261461771857405,38.091011333042005,34.999215382689904,33.73127474366461,37.88359765929738,41.2207156609501,42.338793090240436,42.659700341659594,43.141417473889085],[34.40922494955772,31.05095426403186,27.88967104685878,24.68748489045135,22.116449598117175,28.30550783970797,27.725895161786056,31.529873305209016,32.80773487160223,31.3490796569881,34.879738141482626,37.62065573799285,33.338750645127625,32.795317230772156,36.906537557101515,36.5358761257416,32.28705213054924,34.77157815373341,33.477159606436814,34.444809869774744,35.867409498504685,37.0197323198937,37.1069436829863,34.182997564880274,32.19230714426996,30.832147333986693,29.465418266262493,28.99614341850431,32.75309610592809,34.8989526559383,40.281425735664236,40.05986385300801,44.59832863887403,46.1851137925448,42.2441422006777,38.75789469025662,37.68623586968168,34.18851864434001,31.12316783454603,33.538674937608505,29.1438607856676,33.12596147994597,36.2814901328288,33.83936190475358,32.48409636052875,29.12402287292035,32.01530215652569,34.893995399986764,31.33846387650892,31.710128152150613,36.591206160901194,36.71210453235327,40.40204353010811,36.616049582884116,42.419634204077,44.13223904207956,40.662525026771675,42.57256751439119,46.80091107837502,44.663971875368226,42.665477452310355,46.27692691417008,46.66763447543924,46.68961390039995,42.90134973756065,40.77611880643256,39.75379522624371,39.29091481197218,37.46998998709346,38.458304096711636,37.343361077489185,40.39257255321456,42.14208013280393,42.60047480045456,42.85685892475996,47.89270373479836,44.68906937709085,48.644394952346616,45.90767895533191,44.39592842446124,42.85530693694955,39.58033450930491,39.291524859129225,36.76139716308222,32.82143222515282,35.22064750024602,37.21750236892496,40.84079315833404,40.63069129531012,46.299370982003346,44.92785437572185,48.830310299446005,47.19952265200994,46.643781814007596,42.75741228754308,45.12075433339859,41.58310183651618,42.79096650159098,40.9635058670317,43.7117487261337,41.27245625848661,39.953341631186646,38.25132350148792,36.01337278095559,34.023609133606136,31.094235600227314,32.440127993553936,28.939589394695986,27.308891271605432,30.020203424324464,27.661540525875576,26.287999470102374,27.173017870188445,24.13483906499073,26.465362787556348,23.51918922237303,26.143793739594177,23.472766895434113,28.778499411493797,30.760962483450673,29.129932820326648,28.50445551777999,24.10857017233995,23.937604697757767,24.728289919537723,20.897052840086484,24.350011730096963,22.287748431739324,22.90270597397066,25.06131407271665,21.376413644543614,24.699269880819877,22.23238622103438,26.312706374915035,20.646755895322066,19.980920407022666,15.96648822128457,15.515269504425877,15.230530478281334,18.315438400410986,17.55285263930099,20.012814669568407,23.384391847506993,22.57418049338521,25.29097526670638,28.146684918927097,25.99667666877842,28.596740157199708,28.83702391683293,30.4540776469281,32.37933110976095,35.8048532063309,39.473748050869325,42.75762917304067,42.651830052021246,40.52832104157233,37.19076385822107,35.68874236793356,34.57391289334827,31.093169450206556,26.59581822577145,29.21702682876107,23.496815790419642,27.04241382088443,22.45918320666176,17.98518989204939,17.657283886432516,15.003646746741346,12.978659310448702,12.89812386016412,15.688324207370323,17.933195748693908,22.528258245053724,26.227356359675603,29.791796773702558,33.13934529553591,34.33404554111435,38.04614685947938,34.31488660692371,34.40042624796211,29.378811416314317,28.814724397152848,28.33440483347661,27.83854694561981,25.227165659715087,27.998557696800468,28.769205979347614,29.759228970858196,25.210773156842848,25.460360038876683,23.71007796428241,23.342363986552463,21.15749320093947,20.09257402427595,21.36448860228635,21.74912869296074,19.604981742059188,23.218599359341844,23.089337076242067,25.649254999095803,28.726879570300397,30.785904042716357,27.41079039754149,26.647249755601756,31.159967906528607,30.572458065903948,25.827582305721553,29.705988756200497,34.64412201661763,31.102981341090945,30.858969644318485,34.75903291221933,35.27391751261359,32.34243043010431,34.3152317111775,31.38481741194931,36.41346215256046,30.869243145703265,31.624721115654403,35.76648550040515,37.247672217288915,41.86655794909278,41.255509767801904,41.95783028722579,39.423084341251126,41.04437293081723,38.72744457933574,39.943349215482286,38.6861869238562,33.646836541851684,34.548871624867346,35.03276375035571,31.43419342586476,29.34737286987698,30.498547543334045,28.927907196501806,25.832418100263038,23.779656814943003,25.313950349119693,28.647340375914016,32.034585316168034,34.585354474395885,37.341853469262986,41.68716497167627,39.424553534989336,35.70370785810417,38.77791618198944,41.58636426713084,37.390830541836664,36.352357101688334,40.69117432918076,40.44917998745685,37.09054690256942,40.59629316148978,43.10578568204072,40.61923721381226,39.80006395812111,42.6876093671547,39.70210882980997,40.740088632474055,38.35517791479373,39.66616581852315,39.61325050721325,34.46720423283694,34.82788817914849,35.63359904890893,33.45334258139033,29.723044473036424,33.332039492047564,32.48864934175897,27.802662201483205,27.02411405699184,30.633027490206597,29.4590921097996,26.045906705052445,23.92514308508351,24.99099013178038,23.673379662945017,27.90435020917124,24.947202156076823,25.852492192189132,26.120653304281934,23.19726150595744,21.08388585518906,19.733057595577602,18.5665977987159,22.229431519335712,20.877711536479865,22.370677196957242,21.778791776937194,25.743910037545326,29.932033253399457,33.08584948319463,34.592242468874055,30.174347202200067,31.995395499367035,35.990679132215504,33.26477442773963,31.575625953399793,35.4986108198982,38.90876568885609,39.984066100192855,40.22471805762458,40.64078353574407],[39.255693614396634,36.02413390836326,33.19758047370661,29.686501029152822,27.61493515582231,33.60974848731502,32.95858810068544,36.85389542907973,37.74114144418592,35.96064921773739,39.3350840823641,42.36236478396098,37.905777592139614,36.939816551697554,40.96446833270101,40.75578793340169,36.26059031856921,38.293652927157396,36.29206198629779,37.48125367985955,38.30662000780377,39.332149265680684,38.90390361713203,35.624166338964656,34.270461450050526,33.19898717775513,32.493222679884575,32.4922100747691,36.55251693055173,39.155654056995374,44.13874947815131,44.46493545233192,48.921974745621874,50.17714496389774,46.31036742606172,42.56312800397673,41.94876936016632,37.90313654308798,34.759664862034064,37.005690741024274,32.17110142680225,35.945788964573474,38.95218552358345,36.11880202388639,34.16309558057705,30.838789041659172,33.25434927815691,36.667010557272675,33.83580091071805,33.716673269916335,38.824366415981885,39.44772612231847,43.05678244210308,39.611864895619405,45.612342605960144,46.75852671402184,43.165981792505924,45.56794994123256,49.55583059878896,46.850444330619474,45.034445218154815,48.794397172536485,49.45592277039855,48.91615139241916,45.12348015343249,43.49713121311889,42.23258583013173,42.28338039897791,40.15243648120277,41.55162749270886,40.107563831392206,42.86446096501477,44.95221148521724,45.10201143197555,45.92601654310558,50.77596627500712,47.73060730806332,51.91898462394275,49.27148083835167,47.64797397064273,46.584516890422115,43.253989634861135,43.537309844057035,40.884658494083396,36.817066169951616,39.31465669325864,40.825434318048586,44.84214255460578,44.14755593888697,50.0140244747508,48.45314242682803,52.143645413100934,50.754721756070225,50.53860270529858,46.79406218893724,49.10192213892593,45.660330184563,47.25397494997298,45.69151481850656,48.782200196658536,46.17307997949405,45.246736850050986,43.258108332028975,41.38639660155153,39.288578277150314,36.63146370536785,38.08007270908832,34.567356933123,33.11515668096423,35.78897271847122,33.432386073868365,31.811251237533764,32.50246437548185,29.207611426478703,31.014657270413146,27.711319497825794,29.889192298962946,26.6826673886199,31.367496064130904,34.02130415781172,32.33611459635973,32.18169023275895,27.730964414339436,28.165611942624583,29.458406668297204,26.037754084475942,29.89774086187342,27.91833454158613,28.677936825828326,30.638554656487553,27.060499404542192,30.17573215193652,27.406663775901222,31.523908382219723,25.903878494651956,25.35408490151748,21.68677023560728,20.719801359413818,19.864523055089176,22.65631036583928,20.64539248699533,22.444024691644564,26.355793884334375,26.253450648983772,28.902593763165363,32.17638081187981,30.29122041063242,33.2756999005387,33.913344891780966,35.62096595107674,37.85264116331177,41.145066961317006,44.988272880104596,48.16446055667907,47.88402890652858,45.80384562841502,42.31230205925831,41.033664500449035,39.58384770486275,36.388046450069865,31.61175784400931,33.69952898194874,27.791230449294304,31.106858440477136,26.384875604693182,21.68219676885726,21.72787212685716,18.354755184102622,17.34199894120782,17.58911575750786,20.622652925809227,22.697478607743932,27.138625168383207,30.927519516879535,34.468802274458646,38.04750760945426,39.094858564919015,42.811750907262514,38.80135893145977,39.090270609521035,33.84024909347057,33.92746358618384,33.07895918343029,32.19340428744058,29.55821665651097,31.65690846525355,32.233789373769056,32.69693905454182,27.520929404447283,28.18510344762086,26.34066212928015,26.817019220649534,24.974895128342467,24.508081420740034,26.020129055491935,26.526747591161776,24.948427511657123,28.617437162331452,28.666588174135644,31.424342137227253,34.370042430126695,36.58674721134963,33.25737831687975,32.31028447282529,36.80251163402934,36.29850277192616,31.35963077825998,35.133659491169,40.21020925136222,36.54338539603614,36.07605529894897,39.97356011246047,40.57590867761033,37.368207683571356,39.13533628824267,36.201253719988934,41.278305446500674,35.371413311987325,36.55845808563292,40.7045235110625,42.06306074747288,46.52118064729083,45.94897517267262,46.9920560202434,44.54289335669069,46.20074809332276,44.09571498662037,45.01458417875034,43.59340522099152,38.862615586005404,39.73088742739669,39.762608173176694,36.22760696988489,34.40794288057635,35.32879805841366,33.30016021070485,30.462877348104506,28.743346431378782,30.65762938967215,34.135400678111004,37.418593836184705,40.146449844538566,42.953988486910454,47.34279115317711,45.17480213980992,41.47332740935927,44.504422483523065,47.39674584235048,43.2474108803348,42.13102356164619,46.46129782630119,46.221660277793426,42.78293555285839,46.222392147770634,48.731754302642045,46.150865296980086,45.23342194889409,48.10472910031862,45.08620751518125,46.2090898326709,43.94444869476358,45.08784439624517,44.88072521099976,39.867047777643926,40.20763920684132,40.712111821457874,38.53073168934231,34.95580808897501,38.1944586205756,37.05650209076807,32.631845488996696,31.866141977963085,34.97715461553627,33.5486563154306,30.347381333736212,28.461650296394907,28.71583191357799,27.412339517788975,31.94056111230905,29.328497662290253,30.79971575750781,31.210095296310946,27.841876497570706,25.991732963161127,24.359908367422165,23.665659127352612,27.593974313474316,26.604115052576958,28.207046542710724,27.618889808233018,31.504841001899056,35.78445827389235,38.925438186842,40.39303062908799,35.91603009872466,37.66840225851834,41.65999740903882,38.83434885077826,36.982931276039764,40.95181894231364,44.29037181564209,45.312871111868304,45.486387675140065,45.744352738700414],[35.509348563466475,32.19972610473929,29.248136103952973,26.829057831018698,24.91419733489442,31.47453456407974,31.681580401295722,35.60277931558724,37.220308008663515,36.398520149563915,40.060873913692426,42.64938247815557,38.799098229277426,38.35071056505257,42.68947729200263,42.36360218491925,38.332454651965946,41.09536872521835,40.05537770344032,40.98827542766366,42.524905304400505,43.60261907477871,43.75229227574397,40.80866616637141,38.80935256206533,37.50919121671279,36.01677848838452,35.407401954522825,38.99894669027859,40.836212110047505,46.40317149651364,45.831090912952746,50.40280757367445,52.24827211699736,48.27512332732871,44.96793862820597,43.57901351259885,40.405515208433116,37.33209903749996,39.445390933126,35.40856179470285,39.58598569680083,42.606468737221576,40.11778558647075,38.770190232352,35.22736705332403,37.906877392670076,40.90408496123987,37.26335278937262,37.19373304087257,42.129993859010206,42.12433616584487,45.98868125572398,42.41021413635546,48.153918102035966,49.98238181367113,46.78048129737337,48.729391712986875,52.89812771615033,50.81799552233593,49.056642727365485,52.76323090317385,53.18432223621494,53.3114115631843,49.482177892526565,47.31488842131356,46.40656971600919,45.82801443799843,44.0199639245269,44.811240378369256,43.70761842749288,46.730628108335694,48.55110733526601,49.18291537637377,49.33388509923269,54.44416497579205,51.19440704613159,55.05270443889358,52.23917705710245,50.676426238157475,48.86325570488998,45.450476694340196,44.843557262354196,42.1486083615721,38.44885867590616,41.0330578618938,43.365927725786946,46.80416330716911,46.94107935655123,52.50965661074177,51.256242354340635,55.22669788994236,53.456954402736265,52.699027673829235,48.68148665362424,50.95335328198349,47.266386145630506,48.365247007478374,46.247793354064385,48.53240390555691,46.50980128216515,44.603450310883304,43.35972793241002,40.488149097537566,38.33482093915652,35.085946824112966,35.67931714766456,31.91760482135236,30.06528410377296,33.313611218355035,31.05827100295219,30.636477409037326,31.70668625138606,29.256607839856834,32.04393590268576,29.40432192799959,32.36244809511666,29.909641289109008,35.35932221113754,37.132349353937805,35.36365121326801,34.44719030310609,29.95803160643025,29.431939092711996,29.653686862070707,25.77712667102458,28.193122499214084,26.391779114611342,26.398270153311053,28.852191914016462,24.32306998064251,27.271366143922425,25.430792486276314,29.997377178099033,24.764860152385776,24.651455787333077,19.926989401337718,20.822449813239185,21.074252331011124,24.40317339964837,24.129403837254014,26.689705054371483,29.983597869936357,28.95739936060744,31.61761827993429,34.294286907518014,31.99629002420363,34.221274585664645,33.98400826849669,35.28929645719221,36.628448921974744,40.04847613506249,43.44703277613552,46.52830015489271,46.99760085123176,45.062382567714835,42.046780363395776,40.26414874465882,39.73734869900968,35.829136903636574,31.802070546001566,34.958541141552296,29.440520785720558,32.89268540696033,28.120331469217042,23.980334399157954,22.785762446084128,20.059235307917433,17.51937941226045,18.33133575051146,20.602510853163313,23.453450948492247,27.82164948423778,31.420076702004728,35.08351945695927,38.161992773732905,39.73628985618114,43.194990930318724,39.638680627206,39.305865227561156,34.389617105933326,33.33142505094191,32.52072850042646,31.904017038179926,29.806344654259078,33.146212356017095,34.4743560805242,35.09985622259399,30.815786699967944,30.39172329273997,28.054064066153003,27.93177318179101,24.955567632734628,23.533576923846894,24.074475191171214,23.42110475857347,21.517817607211644,24.5264430523456,23.85529923988698,27.22469423826368,29.254021656590787,31.972732541124028,28.987335148216687,27.02847899581652,31.35878442215076,31.44854769467023,26.203894054804664,29.35646307076983,34.78457953699899,31.569632138746222,30.57852004325674,34.28069891533887,35.565611308157656,32.41420972031055,33.44830057082199,30.253082111132613,35.023679997986704,28.49837862866791,29.94606123374,34.01211966285616,35.03725161925543,39.3580571752079,38.77544784749548,40.22663384568048,38.013258753072996,39.92528402909105,38.36123667620292,39.12663703377659,37.18871145472942,32.78109833434771,34.09699204840795,33.715836487277926,29.86229225667163,28.602840364763683,29.961173261891282,27.092967980856923,24.059686746567532,23.63205321602468,25.116584920881976,29.628248272266966,32.532482194745505,34.990003475374415,38.2754472514069,42.349568590343786,40.884153211444676,37.12970354190806,39.42283730772006,42.73730267796934,38.99148014993036,37.22470494410473,41.566260578293566,41.64524643791661,37.93061291569551,40.83015479085226,43.5694434522801,41.263580522164936,39.70582669390141,42.276203963044885,39.077843582538335,40.196055335864344,38.237556949807924,38.993131650923935,38.44202525681087,33.766419002613745,34.06992651806106,34.02529814835896,31.85478427492591,28.585409011320017,31.390042485734902,29.833069730583805,25.705954451814986,25.136167965509085,27.789724576378667,26.0386052085441,22.979003801163735,21.439556396591236,21.13718356175448,20.225302164277444,24.874740249835863,23.009413222491947,24.727094512765625,26.08026469649716,22.54394964991655,20.36521802935715,17.974335389179224,17.552423319861663,21.666481331115136,22.025383577866116,24.004910418390924,24.456379430701972,27.734636893207853,32.24653769953521,34.9007689718069,37.1924236763439,32.75953182431648,33.67829501325843,37.96322050557477,36.092433418865745,33.61973951097131,36.89179859780325,40.39804344730313,41.28661206150664,41.22758581158687,41.396873323446286],[34.65815089788635,31.52054567437928,29.058353534063702,25.92861937102026,24.745109869366686,30.945048698601784,31.14105679549416,35.31725244385721,36.38079637281447,35.41861872644114,38.98069224631186,41.906946910324116,38.15735794839502,37.16111612983177,41.671067998815666,41.68682500767401,37.57283051941876,40.31017883788659,39.089846335083266,40.513311247347524,41.92905469016575,43.398450636331,43.28497720997056,40.27915523129774,38.509645372459325,36.8618949129887,35.68312283995874,34.89993340604598,38.593737208946656,40.61816974417767,45.75079292909753,45.63022376615902,50.12681654138598,52.00197070711048,48.21444913471653,44.78545113094149,43.772448657275085,40.55366933241059,37.646743190577034,40.36237706467466,35.870068948741775,39.6653347695523,42.990214137862125,40.57978057150343,39.096297614157564,35.80245016784768,38.622779191493805,41.65071326256891,38.20725940263856,38.540705450243955,43.4801710750447,43.6364940200655,47.33916311507741,43.537537204939106,49.313427077861384,51.03194611415239,47.49169459556823,49.3464835524611,53.61466364052445,51.43552932573159,49.30183600411848,52.78245771638585,53.0286644773371,52.95024966407504,49.268687388939576,47.13794610921392,45.66483117137961,45.084419886079935,42.82321590451702,43.53850103797731,42.16327614857018,44.95118974491998,47.12970319579119,47.93909679316364,48.42592544043024,53.69878264394546,50.813744093088715,54.80760757702849,52.26733237281626,50.95488581707356,49.438890614733864,46.320166749501034,45.83699283190264,43.464793808661035,39.54831607924088,41.755776853857554,43.77225677881948,47.234238711414676,46.913275914712294,52.44453079895729,50.81753980603121,54.55337783001182,52.69463055106111,52.02413714539607,47.91997029950403,49.95527401752696,46.182466499802814,47.81414793098995,45.805610632702255,48.36198848731032,46.58903960978145,45.09835241877398,43.958137753803044,41.43265854401765,39.83623687129755,36.42196978570844,37.47484298148999,33.93764816587005,31.750617281359755,34.631315415777976,31.9142204692325,31.250495103281057,31.68721953254047,29.133129024354993,31.416144636529403,28.547508134388398,31.49716865463073,28.819020233453912,34.13239592211002,36.031315156378945,33.93563884422394,33.090709271979826,28.42648139134239,28.213072670747003,28.702349182855468,25.449087314114262,28.270857571883877,26.98491039566603,27.5758378925345,30.418790676614396,26.297359712922706,29.710132430680748,27.880707568915845,32.13164144657792,26.595102316575456,25.75659565921015,21.10137364734676,21.162394848802077,20.631825882699378,24.202493079234927,23.24697675737964,26.14111625896257,29.485744412121146,28.69863741661853,31.678555356356842,34.24533239209242,31.834741131315678,34.163454011920116,34.22158941738117,35.21373316371903,36.93455953054993,39.94720578625584,43.72812231034115,46.40287088326175,46.762573393037606,45.11872079926231,41.9931632917813,40.641624137228284,39.93754124179846,36.5518382958132,32.507023353753034,35.42555573375851,29.870934761589883,33.67194058414129,29.276377096089647,24.81391985654118,24.45391684446274,21.829105250351233,19.54211589942741,19.51178737041372,22.10765194485917,24.335158849949487,29.060808216727562,32.65621133296308,36.15747782100735,39.29719654371511,40.37383540870395,44.27441716375603,40.80463808164256,40.80492644477486,35.966028595798534,34.87853365152721,34.63824501375547,34.265384978273325,31.82316684408919,34.861747257770354,35.661618591797435,36.688369938377086,32.08161872257506,32.29364452394922,30.344408696814497,30.084458276239094,27.56330022946662,26.214524545675832,27.01498608942392,26.665195344676075,24.294660191937236,27.375811653758838,26.39929005713848,29.331699691182244,31.57490519418591,33.855339439237994,30.544093495998414,28.795205987707938,33.1499450165416,32.65858419610911,27.163969717042693,30.68025243583923,35.9767139483475,32.1026950367368,31.133080246607012,34.95891001763469,35.85362890965549,32.31760352232226,33.60478246027873,30.652014980903413,35.7328788702351,29.61476069163201,31.322022016477447,35.464850513643874,37.07225478283238,41.25880454465855,41.11864026859214,42.66398280550445,40.65368944260417,42.77749878034545,41.143264292426075,42.297665651980786,40.31562705562846,35.61652463628638,37.18880520436076,37.17103864351576,33.11600983605484,31.773903333428557,33.4498068043338,30.75734138884402,27.428910417203163,26.99770050131808,27.928583586460572,32.399673176839,35.46765795643042,37.57190687541526,40.83599058981047,44.76490011323828,43.09997247461896,39.27090364220035,41.50396394998032,44.58772440381654,40.581371859831215,38.799788411340366,42.94086649322001,42.713752115195135,38.93003706319615,42.12238802366859,44.584134861211716,41.85253044615002,40.59525654329247,43.43018774633461,40.4291327570777,41.92749141282309,40.14418226801863,41.27026512332965,40.418838392208315,35.5130458026668,36.37049481072378,36.36016730777353,33.87673226413547,30.881909890935308,34.167315151927795,32.30891855379711,27.900514011042194,27.95280390616777,30.81515355500541,28.674838425254986,25.346454200338105,23.12614389157341,22.980591238926372,21.249353292335023,25.850296053558065,23.4126564250434,25.513033018820405,26.230083869177363,22.35180330828707,20.774061167978985,18.890258658744106,19.01217373520864,23.40563014076115,23.199298625230504,25.674888514038084,25.339484116933665,28.416757789597355,33.274598551919965,35.99992162469534,37.93809883555347,33.240811511609095,34.16233972674909,38.331480132050636,36.09797868980784,33.38591614348237,36.938343181693256,40.287354761935156,41.21290208355534,41.24597389543808,41.31344950622982],[38.3914198239042,35.34057241803838,33.03989594834769,29.637437096692736,28.579245092557155,34.608434605510965,34.60590145266662,38.8015985519645,39.590251198190415,38.308286725962404,41.75341455900276,44.87770879495641,40.92330103743846,39.667093308137744,44.07505570535419,44.16901965298521,39.85311276048722,42.25359678412876,40.536951134605935,42.08505141842423,43.10064216248253,44.47786935174016,44.03075771131724,40.80274598075446,39.43859589972247,37.986178089694405,37.23240520609616,36.783870761905526,40.70340201568638,43.07057773641247,47.94928382387378,48.2199730368338,52.67147725964556,54.28489230962825,50.53293997893844,46.90372416678159,46.21408261615744,42.57830051636522,39.60007819795932,42.21602329910985,37.40892157343239,41.07452556431421,44.30739452860383,41.64491441532929,39.781335244984255,36.52715074217175,39.060946257981634,42.40897669559815,39.4327157756474,39.48876450018709,44.564638487794056,45.05516828614585,48.69428516236018,45.09531075867771,51.018028723575895,52.35434183625373,48.71294187542481,50.89323041177506,55.01048011503578,52.45080169839177,50.42345023488742,54.001974119342165,54.43281356874466,53.97385794267025,50.28871697693286,48.492614195056795,46.87067687730074,46.64756180556916,44.1991571834833,45.22154847442364,43.63697305357605,46.237361965540316,48.620251086121286,49.18946008919767,50.05943582336791,55.192040910377145,52.40002922136771,56.5609181199834,54.073124453226754,52.677224555292796,51.496967485025834,48.33363222735602,48.26713658230733,45.80407663869635,41.76995200610979,44.05163725531283,45.72798771210544,49.48394882806519,48.81897611165696,54.508810741497555,52.756732267902386,56.356409410469254,54.684975821720286,54.26849701792002,50.27937985477887,52.30716311219194,48.62324444401091,50.50298177812778,48.70923284513863,51.557686391079315,49.57874142931658,48.41154751066611,46.98953051935525,44.774191453271975,43.070748766040914,39.89461469424447,41.10498303812488,37.56298832045053,35.56875887354939,38.380717336895565,35.690354309830475,34.702053210626616,35.05067966469027,32.21276130178346,34.12934726843669,30.9808717977434,33.591775874816555,30.543343923486564,35.445117885868065,37.809374255483554,35.71727089045005,35.2265580033878,30.55150370787166,30.775613793512726,31.681597145961085,28.627489989900283,31.892440000404328,30.53325178185084,31.26801993414563,33.88903095688902,29.917801492703994,33.230289991672606,31.065445350181708,35.32414838280321,29.72236182943675,28.937006795350744,24.593033839113122,24.15499893751793,23.25711577059553,26.59819681247994,24.84474073651825,27.300446626274788,30.992247333485036,30.663998604020396,33.59645901901804,36.479449474058335,34.26385842953479,36.91017589151925,37.2861854349958,38.43183672433696,40.43176900038773,43.402536386430214,47.3212448540862,49.99690509719316,50.14945393653798,48.476511646375975,45.194451963839725,43.998891532609456,42.98311544456345,39.79696984330903,35.46173734898294,37.980806309208546,32.24087191607383,35.902196490689754,31.38553883853005,26.725764194073122,26.647371490672104,23.570919181664994,21.906151348439522,22.006167411862336,24.855972183262686,26.973773518458543,31.653489905460162,35.35306162482728,38.861520514433614,42.208934867061664,43.17631716941313,47.09897333769724,43.39457833415104,43.56647264034869,38.5270796013413,37.94398877307494,37.45808731387724,36.82556733606639,34.30188981186155,36.868115135952536,37.50733950170147,38.22686737838813,33.20384709669494,33.72379015985124,31.765426787981013,32.00104564438287,29.758073390565514,28.8240803461807,29.88588607529694,29.76765783342814,27.768603792846424,31.021754746657372,30.31685546684599,33.29301845876239,35.627760000927104,37.95183007571242,34.63452356876088,32.96610738488762,37.33238227628484,36.846261603435124,31.360557291252242,34.87881856267886,40.18145791227912,36.2482418892337,35.25823207883746,39.08000787922163,39.94007080416382,36.30311367639928,37.56676892915757,34.65705858910348,39.74329463180727,33.53096757884633,35.392982242225656,39.515417154967494,41.035792980425,45.140074828967315,44.98358945967117,46.64696706028517,44.63108178912751,46.70736003227142,45.11002618740509,46.08591552423281,44.10255905521502,39.55813145829834,41.00510391248796,40.77098186186951,36.8326739587418,35.54587802211437,36.98715525378658,34.17640844277567,31.064865969743497,30.55721469915481,31.84232597582575,36.200721279701774,39.273359028265475,41.56361590077431,44.77803930853342,48.80217782960096,47.089361223278715,43.28171365044451,45.62927135748289,48.71383903396233,44.68501610365793,42.9779548488998,47.132563242245396,46.88428675497236,43.11580764424561,46.329408558652744,48.77634530789679,45.994137546325874,44.763368823900926,47.60394766481732,44.60350498399444,46.106873384190486,44.32265723921268,45.380420207911015,44.53517234723481,39.685337157527,40.47140842421067,40.38698372536836,37.947355666818474,34.96166433481121,38.05110687731688,36.14264283822115,31.89339679724396,31.834361088666974,34.4618019625492,32.29373035915337,29.129494909901172,27.099047700544997,26.56932813915759,24.918700469276637,29.588738310108727,27.33249368607897,29.62032968504949,30.304542139641068,26.313088826401017,24.887105229525325,22.972337810122564,23.184515688803497,27.581441651189227,27.350340351227405,29.718938592996974,29.280456323332128,32.48160441081877,37.29913423277024,40.104320816334486,41.91310093707553,37.202982382793486,38.2459730568771,42.36800829397713,39.95021254382411,37.29618341177389,40.959679436625095,44.24601749061943,45.16452361567881,45.19215173835104,45.19248844979989],[39.99341232612123,37.12888345865473,35.23893973434365,32.117369383183984,31.74539908895957,37.73563472386379,38.18898514605559,42.504860232895446,43.276407798362605,42.33354574358974,45.793888057017455,48.937579249004685,45.30092498533841,43.90797831514825,48.49510349023691,48.74464661692402,44.543740972535716,47.09977067959176,45.487151597055465,47.18649353601609,48.23776828043302,49.718066168696765,49.221626529323316,45.97667308885639,44.67767510340133,43.12994771512938,42.394710901964814,41.792979425282084,45.640649855884206,47.88457271598251,52.706812734995395,52.93408551223506,57.372911186603545,59.159162440884415,55.46159927558528,51.89800963161954,51.15549278593007,47.702028248904206,44.77759517026512,47.446966066787766,42.68575422218404,46.3369363551723,49.60872600291553,46.95916444378681,45.069063703675624,41.80207121157042,44.27701794334836,47.68601827825581,44.711795045442706,44.67844239599445,49.78058359827863,50.24423174020599,53.92732733579607,50.35610743122132,56.2594942728382,57.633612103611284,54.02130871270944,56.17927445350124,60.30845487526992,57.7507109112587,55.71687700171209,59.2603310016762,59.63515850687678,59.16579827046884,55.51944320161367,53.704486355496165,51.941037887504585,51.63766785921472,49.03423510371247,49.89623299547326,48.22522297038191,50.70027483722895,53.25760066218176,54.00637468308431,54.93850554029945,60.17642329726652,57.504023605695544,61.654976088176035,59.22884928246883,57.901883984750285,56.66522836381107,53.52984957942125,53.31433385530445,50.872984310024975,46.89279830333482,49.14479911391529,50.91236072385764,54.563818233052736,53.93706936105319,59.549063788150015,57.722857026326935,61.26889299586171,59.47524592833696,58.9652353691222,54.865470776367836,56.73494044357484,52.93434101265652,54.95354098978025,53.02830822844453,55.69027109451356,54.072848828085974,52.71403592166466,51.60960352950243,49.15096882098936,47.566511642666214,44.14671191790508,45.0946421928217,41.50472956055666,39.27549100981838,42.23481362898317,39.45112190826348,38.91186022555066,39.143344271027594,36.61404917854121,38.6143077759965,35.58249064202668,38.37216588593961,35.405943116738136,40.33202900940808,42.58994394466903,40.31468007617025,39.675215839582414,34.93408998958506,35.047927293109545,35.70997900465561,32.860731359237946,35.66258243682516,34.62822259992809,35.229543200118144,38.128550547441016,33.873242453534836,37.12875149880009,35.31529542534552,39.70851030740433,34.23412722032386,33.49277324548111,28.832393384036056,28.807720112914804,27.985558200830116,31.513484617208398,29.885083242790653,32.50954562853225,36.138372443310764,35.74001897916912,38.74615980523004,41.48238278664749,39.140489014838636,41.601799800746775,41.80511294239283,42.65877123250857,44.44924726431168,47.2459200134786,51.13056251202164,53.502483740403335,53.966062263523845,52.533988884935546,49.415365312314506,48.22067909454641,47.488496803809014,44.249998008350175,40.17801648091237,42.92390870077424,37.27805353607943,41.020762977692904,36.516286934410076,31.923146946607986,31.649409426568678,28.605606278584222,26.71341966792076,26.954773512910364,29.659480860977283,31.89988099427637,36.59632833673355,40.24970009078364,43.764148938512776,46.98182243592433,47.98798116609936,51.931006798560944,48.36066562545243,48.41284704111316,43.45639391240596,42.57436113680379,42.11850558744063,41.5164180779001,39.14666910949975,41.94316488942604,42.71187097328281,43.39039932323152,38.4196790931889,38.77633014242475,36.644096923483175,36.92549603576991,34.41499560535906,33.304980532650454,34.072259904465504,33.52175138255068,31.49710744264073,34.41371262339581,33.314340517798406,36.52288628286473,38.3023897950949,40.80657952574769,37.63727549919608,35.38454230817243,39.55815530992571,39.25496236239085,33.48645073240229,36.6098469078089,42.05541773839614,38.11958340100361,36.67337742898366,40.32283501428965,41.50160735779288,37.61518683279124,38.31484666509138,35.425663757074766,40.34139776566194,33.80724500883213,36.240803397824074,40.23343289551739,41.6774623784671,45.403243192911006,45.49441058409672,47.71346293866671,46.05017614467882,48.38690182350518,47.27828321799258,48.11493246509431,45.68972233316815,41.51563979731112,43.30989880241966,42.67754799337916,38.5698957541472,37.800605502946716,39.47012530265186,35.98475967940546,32.88440490017555,33.351558126983434,34.362458510135795,39.3077279842353,42.12087823083315,44.18079824863673,47.677075568691166,51.43348138403811,50.15136956029244,46.324816766213274,48.13824982085163,51.41525373132319,47.59548706602614,45.4456500840119,49.464860805499264,49.29188561981078,45.309899907791205,48.21305060829329,50.65391807053814,47.831262240806545,46.260983202946605,48.96539117677221,45.959905355099714,47.67304252506666,46.279965870472196,47.12055370778836,45.81211209609795,41.26603477147857,42.24792395773412,41.6115440462977,39.08893009387143,36.61208233337379,39.30508225193689,36.809684834167996,32.95963284325872,33.32055945927765,35.307302555230365,32.61489779402926,29.716923989464888,27.872024798335445,26.438332897173957,24.759631666160324,29.450698802628423,27.833129967230708,30.77013880975713,31.848555217624053,27.46643938505489,26.358656553265256,24.125491351082292,25.0252627143742,29.589226463365886,30.124914390340923,32.88132069950236,32.7313766418239,35.42404971851604,40.48977204805212,42.99176183695108,45.11395387754068,40.33978470091653,40.82352019677934,45.01890450102063,43.007888464820105,39.8116950642782,43.118635521172884,46.33765073896503,47.136815529908034,47.0039680165935,46.76948908082221],[44.359408304029074,41.50896765971882,39.57904778703529,36.234906838218954,35.682996615129355,41.58761244822604,41.7430745914389,46.00999942435317,46.60939290043383,45.30377628531312,48.65700062370715,51.931635048791705,48.01395861370555,46.48934654944846,50.892949230914326,51.131853503541,46.736448385295084,48.920596235728226,46.829781573413094,48.537461640963045,49.18827776807674,50.48345748824838,49.69380721915572,46.26726953240363,45.35114227326315,44.08488942587809,43.72924113893027,43.515527622345324,47.55764995725121,50.125660322811335,54.75596655372113,55.31458944093634,59.711424086706,61.18369830566587,57.49391716731356,53.7465935868005,53.28475199928361,49.4030564639535,46.38870853596432,48.84689809150625,43.87235017946974,47.415085322735806,50.50880342894747,47.60957513430674,45.38410992587334,42.18094893268023,44.3172905361681,47.98568237493711,45.495040074401835,45.13696977593758,50.303162601170406,51.12453650311312,54.71640928664768,51.402630290482215,57.41223575768468,58.39700449985303,54.742171460323185,57.24429048399073,61.17912435437448,58.25398304487774,56.406047012610486,60.06732686012894,60.66937682872831,59.8383617604109,56.184085099533156,54.725431823473755,52.93430481558411,53.01455787481783,50.33991052731091,51.555200758532074,49.739252697616124,52.07647802705025,54.73608886680699,55.16371051615284,56.420056273703096,61.438584266741636,58.79436946202287,63.080162060318685,60.6644045800619,59.205869465121424,58.28493593221756,55.06609187555154,55.29596664049332,52.714680716654435,48.65055796793426,51.02843135496299,52.475876435829484,56.42723674209986,55.51208514109619,61.28537383132316,59.41280778220597,62.85049334101641,61.2977331046888,61.05766289971009,57.12484254087059,59.05361652224508,55.39345734487011,57.54017392954567,55.84397179464644,58.79666477344676,56.85300612359446,55.794206404902866,54.32940690152445,52.17937345279597,50.387033181732704,47.27960340864939,48.377552855595454,44.76630588000402,42.81627761816044,45.72744016833253,43.050247110591826,42.13779726705642,42.40390588208531,39.556599583876235,41.26576262200011,38.004576600304866,40.42346412570002,37.15143491771812,41.6467551854099,44.33927552785313,42.17144176699755,41.89559435863037,37.22375698173285,37.71720628414251,38.77018139360258,35.9616383004462,39.223248876491795,37.974570658472786,38.66471975039128,41.24543965458074,37.1527658637176,40.26317873804751,38.07090738048526,42.45399644670396,36.96051170591376,36.34801394289981,32.050517937222864,31.6016279076649,30.556361606888174,33.77192118981446,31.52496900358182,33.63032115044421,37.533362929083914,37.544691938366526,40.42475642481077,43.47646596730326,41.37627231371634,44.15205354815256,44.64949737592033,45.75605851323919,47.802883960518436,50.66344179970777,54.63310900857308,57.14424146163622,57.34860863163967,55.782354732751216,52.49095105890063,51.382974270923825,50.31374227247367,47.20732853684614,42.809517553026694,45.15639496334594,39.35637587633908,42.8765759637765,38.25345700441723,33.56798945559403,33.49457761484514,30.092522672797603,28.786550149177568,29.181921363557738,32.062160389787564,34.22786172864148,38.79866610116755,42.53757010431692,46.05970823056243,49.4832275589569,50.4419392348231,54.32372724892575,50.497295909323846,50.694457528686804,45.546439649836834,45.21324440815281,44.44677703602509,43.565166946163004,41.15227928827885,43.4574511642893,44.108724571082355,44.42363367054871,39.15672673345396,39.755620907658354,37.633959938448015,38.411475333375684,36.18250392196167,35.485293291614774,36.5109319986996,36.235798792005916,34.62487426768546,37.74211700355461,37.021763780029495,40.268566109575765,42.234789404703605,44.79193103832702,41.624516864183335,39.56915898294151,43.79708108101073,43.534784706723244,37.881473061802176,41.06304292760007,46.49355290206698,42.599852211520684,41.25723155641205,44.92754822577871,46.04738464366746,42.19510416318208,42.98762709631606,40.108820434170504,45.008415655806544,38.43845646299268,40.809420751049046,44.791978764596735,46.074139374835525,49.80412160239561,49.76476932841168,51.951132811548106,50.15882544186,52.34685612389735,51.17133120467504,51.800831956540684,49.49506564733469,45.44306887529548,46.98501633550204,46.18387278484726,42.28808643414091,41.461118911238486,42.7936918753169,39.363478080878075,36.538133468136934,36.692344528438284,38.15533695136198,42.840299841675765,45.686652788549054,48.023682130512135,51.40231909583878,55.331524410603556,53.93265385614021,50.14001546686491,52.20382262251845,55.46959738602747,51.614266698519835,49.648456873094915,53.74333135416445,53.578403094175926,49.67520373330879,52.63226911883686,55.10156064479822,52.30645119823812,50.80605768685782,53.5041015964436,50.47539662624047,52.0800374485511,50.56217785103883,51.332496674276385,50.19390884336133,45.669958713577614,46.45174492635002,45.87776650261913,43.47551349468191,40.84365699152278,43.37144089633729,41.03378883459878,37.29201630211354,37.351206709238475,39.22968270848439,36.73269512153552,33.989056500666464,32.37365896777686,30.836020761130783,29.390770391657373,34.08622931697144,32.54350129359767,35.393610897201896,36.41371431638498,32.09968425756135,30.94802956600115,28.72316815227848,29.425693707230117,33.907659406043905,34.27509016520661,36.76479943048835,36.56126903780657,39.51320914913391,44.444554972950485,47.09135724385128,49.04942704837446,44.327254133707186,45.06902029587424,49.218466048643904,46.98400165792076,44.01154571020324,47.48318828145296,50.659553427168284,51.463544635365764,51.309449723371394,51.120116025646944],[43.440499395359666,40.79333994005975,39.30854813350732,36.183719916163106,36.33513333804875,42.12859968967718,42.758411836224575,47.15772501963462,47.72686680033393,46.84220020777314,50.22832174514455,53.495081939292405,49.99871169542769,48.351172387063585,53.001303316206865,53.424709882898206,49.220805222298814,51.719646918520226,49.95399410050462,51.85684839076,52.74793022875004,54.30660399083996,53.607954392520426,50.27625290211828,49.21910130020742,47.64792028385606,47.13863769227885,46.554446727739524,50.4426011382185,52.765874592948386,57.369945381980486,57.79631634585665,62.1852243257272,63.9696904801912,60.35811223626432,56.74585065725733,56.1578250877494,52.65323527802429,49.765740846518526,52.508971985728905,47.60636825029797,51.12590299037886,54.414459546107125,51.69720279466873,49.63533877756938,46.439020344289474,48.772234956702874,52.32214284109497,49.57800033709611,49.44637853333651,54.587266516024144,55.198626468872554,58.84598071351487,55.34497643342896,61.28515574223473,62.51130767347283,58.82933777091431,61.085495804478505,65.16639691542353,62.448217559327354,60.399989526949945,63.91386366902345,64.29997081798194,63.637982362919274,60.05164171730246,58.372946586542916,56.3840782977412,56.17630650838979,53.34641579714239,54.219089488462174,52.37678212611262,54.63840590620249,57.43298153111357,58.21551872001548,59.39637973634883,64.64401951904723,62.15516456033113,66.37606823875953,64.05959698389276,62.783905342226205,61.69763763290998,58.612617111407694,58.49222245428581,56.077596904034046,52.058802558903466,54.26377621965027,55.90136333313576,59.60170618833268,58.791255002091845,64.3987616922785,62.42382746471661,65.82911864014643,64.02993409009463,63.582995351043586,59.46525117251082,61.19002376929711,57.35924130221791,59.63779844476943,57.74346944165093,60.44699379779332,59.00311932226639,57.72460367017065,56.71504167160241,54.29021448441953,52.81347582255377,49.32907964389233,50.25223809752999,46.671798477213564,44.34369226504264,47.30133572306613,44.42181236698597,43.977479999155776,44.024939080644295,41.55961557242908,43.39183046319404,40.3139059452189,43.056307642544816,39.99137818163279,44.71310854045909,47.08834806453521,44.67671922928297,44.10306677146161,39.343236174345726,39.599829104429176,40.310390023580496,37.75001179389137,40.49760417978467,39.682801996103386,40.336808041742295,43.34715350710739,39.05874972242026,42.30080646027412,40.56116740161062,44.97878335713905,39.51975225232549,38.73050521563976,34.04247642582543,33.96201470522524,32.971766302299784,36.514765154866716,34.60694489428264,37.18530110994709,40.87780143271106,40.640358449801624,43.699485080477196,46.438661722794876,44.0929499350321,46.573212671529674,46.83727071861282,47.5359593565386,49.3613327965769,51.97168578737638,55.9349755916768,58.05755341197467,58.60517152209164,57.352870954475826,54.26217283906747,53.195601071915135,52.483452416685125,49.37379674746244,45.34690316275912,48.03317613428274,42.386807915857844,46.157486933401614,41.685434903429744,37.036823017447475,36.86405183463087,33.72378789127981,31.953429489510764,32.20429883750423,34.94077309613183,37.121403273314755,41.840609047006176,45.4976644295585,48.98835088395273,52.21350235736639,53.1260936580801,57.144227597409895,53.582247672656926,53.676336519440035,48.71515110422825,47.84842697392442,47.39935321778092,46.75507894557194,44.39843470565049,47.102014820580685,47.80708076294963,48.40275766396171,43.29167978424162,43.757220225604755,41.59160254799854,42.049861641336776,39.56258006748153,38.51305177108862,39.24590231922622,38.59050239290782,36.63083176803131,39.42570247058961,38.179461314603465,41.454773476262105,42.98248635775468,45.527844176496174,42.412058391654035,39.9143958506855,43.95372934801346,43.67730937062066,37.777704995809614,40.69501477672954,46.14964346351489,42.13291481513776,40.4366078331864,43.95367708215001,45.236198399317004,41.15238916052652,41.53077163643837,38.760232398448046,43.53998592946901,36.94872650868484,39.77761541601604,43.638501074941935,45.07058914418964,48.46515225419125,48.78006014249051,51.38087450088121,49.966018166208464,52.45811164956625,51.64942497954683,52.38577286278207,49.70524225675019,45.79857014767273,47.767439143232735,46.8787306781706,42.72583365099661,42.26320944760018,44.004592760342696,40.152922907854865,37.13802822299022,38.092365129342284,39.00296206873006,44.19173827327248,46.87136527570302,48.808782252885756,52.42946509900481,56.03160815959896,54.960815247928416,51.13002060029636,52.66326310678003,56.00676480520363,52.27621247488199,49.908521201048416,53.80058515046628,53.61852506182089,49.53124493884005,52.28179360505052,54.65320715112227,51.741683559337886,50.03417163507925,52.67502301784233,49.72402996668714,51.61065563409269,50.48693841427409,51.220573538515964,49.60111195669289,45.26518387567016,46.406143358695324,45.426699067583975,42.85539768849894,40.74361406926147,43.17149053686622,40.298810311425,36.76267276363384,37.397375404813026,38.929042840106305,35.91465917084107,33.25907605882233,31.540537917845327,29.517960384024537,27.791203504503297,32.363692714156144,31.152274977768666,34.50943171465541,35.68613478737903,31.094205385986825,30.324560925033733,28.039271580569793,29.360198549575724,33.96498412614256,34.81107243746871,37.76751044322293,37.63636426640016,40.05535252939702,45.25537976113181,47.613826614560395,49.80283131211203,44.97984729282239,45.18900466860159,49.356789400382,47.47417656090253,43.97309876132508,47.13089234093873,50.230614001260335,50.94441303114834,50.71540589097329,50.30043672344295],[43.35258085353706,40.93865331601859,39.910223445136126,36.27768006565078,36.99712790706403,42.30018662820739,42.880095816551275,47.37626021540381,47.43839748821945,46.43539878220871,49.63795306920109,53.146624261152276,49.80595377189912,47.69878798448708,52.39012542734854,53.11858716621419,48.92755562127857,51.340426255569085,49.44405916541474,51.754700706019165,52.51853992119249,54.41146227483348,53.48899150667401,50.168703137495555,49.33859567134887,47.487484617161115,47.26601251684907,46.54524888833661,50.433948785441956,52.87992085031432,57.00643470313775,57.84331274846317,62.09828427404136,63.883933526136474,60.48971931830794,56.81966423274996,56.57722099059011,53.08737362687743,50.39457187957777,53.61303368435842,48.411914110692976,51.53620400382658,55.04591412324391,52.44837584592705,50.31695582249997,47.39896106670701,49.83738927011454,53.337522476719045,50.783435226159554,51.02468021740658,56.105917974972805,56.81969783029976,60.29576355085391,56.61221803536198,62.523083190586135,63.65859638238448,59.70651176282047,61.83570257308508,65.97473311645824,63.20906471088478,60.83130941717606,64.08651974971438,64.29828421979536,63.45456334792734,60.05902690517012,58.43228555203514,55.94583908118897,55.74140029380369,52.53795244704652,53.32412683475277,51.2574971522208,53.23032627840697,56.32523828316872,57.26631795126107,58.75179754908518,64.07580344594075,61.96705321717671,66.26149641908806,64.22780119905059,63.199855064617324,62.390075783455394,59.60146222885168,59.57941565696769,57.47036235210702,53.31375743735749,55.168585360171846,56.51320015344617,60.18262658560923,58.97432867808235,64.47461107938766,62.17644560376962,65.31346662546682,63.454615883120816,63.10194431608052,58.968617804501655,60.443068287352325,56.601299008522425,59.342350012924726,57.585316485773184,60.50709385623925,59.294173843889766,58.41035047375825,57.4885051895574,55.399615962496625,54.39655371526853,50.822501808360634,52.12358531968633,48.74888161555437,46.2017036201372,48.82940244954954,45.63350566485611,44.97976261702999,44.524838608058666,42.02794441815481,43.3816033046897,40.206888672170244,42.839403935193,39.67990425701893,44.101343108608525,46.530451970898085,43.8908577610286,43.41315170042965,38.67694258658667,39.2154436176142,40.14201234577464,38.186325358299385,41.185090751447355,40.76857510854507,41.84759645548518,45.08559215235758,41.15915233619024,44.72350448112762,42.97959011890309,47.129224958566816,41.48558906402239,40.18879968443299,35.66059210681284,35.01576587226297,33.51179580590809,37.074614913572795,34.71101813418949,37.44438450695474,41.03985111000595,41.00944468019141,44.24414554564645,46.826034914356484,44.44511339277865,46.95564402225289,47.46608219653164,47.90166055711745,50.023526762965155,52.24488663269802,56.4840471311931,58.22876258645164,58.65037195793614,57.6669885287578,54.51732198694988,53.844650807764914,52.977878037123176,50.35873113316037,46.37433972477858,48.81600642592167,43.2548468523946,47.230498221447085,43.13949697981499,38.35391292535903,38.77352535347396,35.78732285505256,34.17117182129834,33.872315121893635,36.75202241945146,38.454599124057644,43.342020945734326,46.93786711496932,50.25226831782356,53.49036275236188,53.974410387707664,58.32541350957025,54.870802563166144,55.244271015407,50.39100625502948,49.50784735100555,49.51943148119032,49.084377720486785,46.46860160643705,48.93118252139118,49.20313683625896,50.14946200848262,44.863597992714446,45.81896642129478,43.98974904537055,44.27835130866815,42.14091430751344,41.12484452811343,42.047453624519534,41.639705309466365,39.32403176391426,42.210785966122444,40.79722068348557,43.70306773089078,45.45803757194278,47.61958432322764,44.263855985073896,42.028924997119944,46.070788099625474,45.30854881500908,39.35255985238868,42.54873411365011,47.795189433125536,43.29493825807815,41.7020525570942,45.27042759123856,46.150683023542605,41.84438866424959,42.488446278026586,40.00162666440728,44.96927419074833,38.91672475587498,41.817678432266,45.703550232971615,47.63811669367801,50.96974332015883,51.613492813162345,54.17023189983632,52.88276474945473,55.5058862500535,54.553794250992034,55.65310065111667,53.0182829857859,48.79353247553493,50.91608743025052,50.41319057586529,46.11266055275884,45.478036279011846,47.446681245124616,43.86232802429091,40.58720670498189,41.346875267865286,41.88838336065979,46.95100212156168,49.79945623061594,51.47986536786789,55.03589201383182,58.542066330436576,57.246754784936016,53.37490209705585,54.91696737617136,58.01978190018626,54.069431859866356,51.76011836680709,55.46281233609104,55.00697499163832,50.93044170284764,53.94070707335119,56.04242802594646,52.78993851635836,51.410053981118935,54.27380961351409,51.53055813070573,53.702592679545056,52.682009710319846,53.76236070566416,51.96847347508023,47.42611138378551,48.98621359935154,48.13992219910057,45.34135926048603,43.37937314036481,46.26147831851294,43.28114470139846,39.46826200484757,40.49425542396286,42.338615529226935,39.155649147353,36.246005606202864,34.00244043132512,32.34330509768839,30.041009567517456,34.403383143049986,32.67602862961686,36.14665814945504,36.73464645567792,32.0806017156735,31.784353557558934,29.994500825579788,31.533661938266558,36.20235953344416,36.53476777011407,39.7460616659566,39.02574441286379,41.28366714026794,46.636026919376874,49.04821442332408,50.884074722157955,45.926991079653035,46.181928344667064,50.17168146665752,47.97764837454989,44.385407710376846,47.741795644279286,50.654685747441206,51.405943624807136,51.29641738196772,50.81249119488511],[39.79403658688463,37.53212556451606,36.818473772574336,33.177440259413466,34.39656949606407,39.435621752379724,40.26029900083882,44.80515214903672,44.765807907439445,44.03450228477739,47.21818559106115,50.707728825693856,47.707030978248746,45.50814295146068,50.34478361766713,51.2201844088757,47.22832149990057,49.895545831539714,48.34720276501325,50.81351717175447,51.843663958856304,54.0137559645506,53.236280695275376,50.083904028886046,49.04653913357619,46.86613625725706,46.467905195454556,45.38276527071128,49.08210539004051,51.29865382321785,55.345390605707365,56.0836094907074,60.29139087361051,62.3299983812899,59.0415106770262,55.51730792732193,55.19727259512855,52.08497178996345,49.56386173457531,53.126871831376796,48.008257239382786,51.028208033974586,54.743474069679635,52.39935149829642,50.52007742835195,47.69293748503282,50.414161002603194,53.665285605933114,50.82974746548261,51.45966530631717,56.42629380921742,56.94026809031475,60.39130920948934,56.45098547802019,62.23150233855997,63.63689595125642,59.62186248655277,61.42214365731672,65.72609760281438,63.24728971703641,60.60041479822971,63.64073566356312,63.594036198914345,62.9753625271257,59.67915145173011,57.79192202805672,55.13241514543243,54.61439253212045,51.32473210144501,51.7750557438805,49.73825793335792,51.69587381433127,54.82345888328809,56.097045181840066,57.43556509536832,62.951564467623726,60.98654829619243,65.18289032699087,63.26798454070749,62.45519844039213,61.50923053124406,58.92158129395442,58.59849634428204,56.73409219416274,52.607580207956566,54.20622074964887,55.67405436133267,59.070461608736956,57.92998758279722,63.22693299521566,60.84032654431691,63.93843733403663,61.85954585291469,61.32336526007768,57.06149865428078,58.365387127594225,54.415157600797365,57.24476843444967,55.36360319162825,58.119998591104725,57.29830229583076,56.34374036946178,55.77203160573988,53.59147567017305,52.97665240384811,49.14349351393965,50.47636282847698,47.24520255489478,44.40027020078745,46.887454197459256,43.48791500262419,43.06384794452033,42.34084367198322,40.127971680335335,41.477899128352306,38.489604335065,41.34950637563785,38.42827074615036,43.02736919704623,45.099284090935,42.28347348585634,41.545242486871444,36.81084453946771,37.15983433452236,37.84251740984117,36.18550042915867,38.8748560333954,38.85170539438683,40.04597545969442,43.60418931814022,39.77030669244375,43.528977420928435,42.108624131942385,46.091487879579354,40.46989944817976,38.86713921433211,34.22518725217844,33.65537778099967,32.106473662228034,35.853140725017056,33.797353348011335,36.96865064033121,40.271617342199875,40.00752629082694,43.38992819743738,45.61663304362379,43.04870201626855,45.291663154020625,45.666378179891566,45.756030390002074,47.778563906663564,49.738261339814635,54.00360053252023,55.43490456000391,56.02561604996025,55.290518715513706,52.28484700737544,51.72624960167728,51.08241146553061,48.600626282785306,44.940164852221066,47.57320253889759,42.23197480408073,46.42838584334452,42.63870423760749,37.92737931377496,38.448326025532836,35.832741425733374,33.89227469823288,33.24460881430542,35.998472536154125,37.51089843862344,42.498785504934055,45.96084070632297,49.15638064363747,52.20468827126906,52.53465631275354,57.042730741903924,53.86973973452572,54.24337778365177,49.634965929665654,48.31837500673187,48.77047296410482,48.64215539163362,45.98359340763412,48.68865113769671,48.87016015332676,50.219432167561614,45.140966320003066,46.09909518213561,44.41289112213808,44.28822276643443,42.0982926251825,40.79896857479212,41.58845206060799,41.077056310673946,38.350923309848916,41.048053810483864,39.27134227440247,41.94482581000626,43.594667009603654,45.51437845089285,42.098737268477834,39.83221032695686,43.75563028420515,42.746713412161384,36.73647179345223,39.94544470410347,45.04509012762254,40.318631254248565,38.677838778001,42.201078801808094,42.94119477327862,38.51309071588242,39.16866783376001,36.857911525288806,41.86112621102408,36.16967641347804,39.160207374794304,43.00820760515148,45.29153452235252,48.48791767612522,49.44465484867259,52.03567414168722,50.92477240174709,53.70924976442428,52.78025087827071,54.18361157402594,51.481149587440164,47.08778846316033,49.464833215427205,49.24641425711295,44.76997225162082,44.13999790629354,46.4445412356538,42.959922342382555,39.42290569339035,40.37350582300704,40.377389927918806,45.53507469969652,48.378694534211895,49.69580773342376,53.29113456899426,56.56898908945732,55.300188378792704,51.41453711965312,52.72011029711912,55.704025989818874,51.725399072229386,49.2939852813256,52.801704319367474,52.218659276092545,48.106795182022644,51.15072485655479,53.08242899228892,49.6612747266079,48.3788885050952,51.32190841561819,48.72351234066806,51.11466161771432,50.27623649201236,51.55264964915072,49.53047851129707,44.94252401688058,46.85940611554927,46.00073091254156,43.028440019838044,41.32697423157743,44.485726608197375,41.331751971353725,37.3900523926313,38.852666241386444,40.84925250512733,37.453451895466934,34.38353181381644,31.759186137112245,30.31511353300033,27.589411540137966,31.72562382718769,29.75126163279612,33.35675524455848,33.69514867904381,28.993127196668638,29.047276445291125,27.541421462543695,29.3924793508809,34.05447321036654,34.30768275898158,37.80854123478415,36.8816473903225,38.760562472499856,44.247806685990334,46.52329974539375,48.30952038737946,43.30375639875517,43.32780512031475,47.23143660554112,45.11838505885392,41.28777840966743,44.556628774931234,47.350799965546074,48.09445236230128,48.00810482520987,47.47022312863288],[40.24291297766326,38.27815497244808,38.06053482679484,34.27410038937349,36.093981422803395,40.66386474641446,41.61971568075257,46.193370321025576,45.82188312886423,45.184152379076465,48.21437052644856,51.81063947677894,49.09910774780184,46.59703068093265,51.48364681860158,52.6060034282968,48.738856692630634,51.425415568396105,49.92278199762173,52.67003408987736,53.68816034244978,56.11485092902553,55.23808103517286,52.15083406310088,51.21619401045864,48.80637966070345,48.538488655462864,47.27246127518206,50.87551559107626,53.05983764765026,56.762627143795015,57.70104386678832,61.78704900789211,63.91558728723332,60.8128682729284,57.32924903558961,57.17660111004344,54.223441745904026,51.87858055566523,55.75974271981711,50.538785264083586,53.30016895919606,57.16430764656428,54.95766211835029,53.09963584563384,50.45050440028788,53.25268753545833,56.42488431570992,53.64457795638614,54.52234897463837,59.41592738197364,59.94156410940927,63.29437159530025,59.22819057232886,64.93308281727813,66.3489234716943,62.19870143477423,63.84670103750083,68.20097303792065,65.76848539752504,62.892038596996976,65.71693262008388,65.50023816944672,64.83049981778008,61.69099746661833,59.78193856856622,56.78594236882906,56.18041138743918,52.64300479947465,52.91610977956364,50.749850744286064,52.47170186044114,55.80937040869195,57.29221075393007,58.78396243639975,64.37980081130578,62.71281830425551,66.90203629116913,65.20282952232876,64.59962598241654,63.76991307788233,61.411112373747386,61.046639506041885,59.41605673682593,55.253889130619086,56.59092035794345,57.93626540839412,61.21006287700911,59.87678682524369,65.0143389476703,62.416245435825914,65.31390277241182,63.128906555593815,62.5830288515199,58.283230576480435,59.34301051807657,55.361338899688036,58.503446839175304,56.65546512265042,59.43063015840023,58.93684917461874,58.15372514144404,57.79529332839709,55.74137323842431,55.50452484571929,51.541936043653266,53.015843036254005,49.942643890687634,46.89451501510304,49.17786219177602,45.57788050453697,45.196770337763375,44.113725714407,42.0492154480779,43.127088920268,40.199904308501814,43.04572130963006,40.18787305406848,44.59889071401911,46.5668716288568,43.568936714683275,42.79895009324813,38.14457925460066,38.58005244260453,39.25991401880697,38.09540802406257,40.70513201987469,41.064193932355685,42.46613417085677,46.22859023862395,42.586949373805844,46.49619109111285,45.22056840520756,49.02832858699981,43.39373575906315,41.497512246017024,36.92306796138491,36.164546672296694,34.38395909011426,38.14664563872648,35.97175317665093,39.297398857907034,42.43224012767665,42.21731577128693,45.70165490564743,47.71267092380626,45.08496940008966,47.21814406138989,47.65637983636851,47.44721778535986,49.54292621220285,51.14904706128345,55.531042124185255,56.56632811738026,57.202566107164834,56.75773632693037,53.82105649883524,53.522288341091,52.91651600072252,50.75306718474872,47.2821444448493,49.847713259829575,44.67251434599648,49.00036367448063,45.5025307710414,40.79452552262399,41.58528743652329,39.13951095231778,37.19554925363489,36.25670296824746,38.996993899432,40.23983562879589,45.28295767778194,48.647984464709516,51.700521238830106,54.66391090445091,54.730860451046965,59.42933648187471,56.42764195115426,56.92172408602732,52.47132020838536,51.00201830672957,51.78782864230476,51.833507297536286,49.083034722883916,51.741962476867215,51.70729801767959,53.29913075403749,48.2160228685173,49.37862683180249,47.85884339046505,47.58700613430736,45.51963697719422,44.1607456431296,44.9565582696224,44.46594030800399,41.51905715751926,44.12366433805706,42.129198840110305,44.581156420901316,46.17844225507097,47.85773268736763,44.379488822656874,42.14561769402902,45.93450951322147,44.65966345376005,38.64499766266286,41.84843958958012,46.745166534737706,41.762212384446556,40.0791054426822,43.50249542244068,44.042844137490775,39.461802194289106,40.10363199228683,38.07420474187799,43.037131878285294,37.78797704524241,40.934311673640536,44.67643124742733,47.268407476956206,50.231721723773866,51.5188380568471,54.222019913915005,53.32300456492687,56.25579435905258,55.38870878470578,57.003947676447254,54.222219379102974,49.76399720805229,52.33447083709875,52.28138673349265,47.699079488041264,47.110535459404545,49.62622075776901,46.17609292825732,42.509155592735986,43.59857487533933,43.255345850968915,48.43769389204646,51.280121244618456,52.31724374761139,55.922408036979334,59.00337461600464,57.737184888664785,53.852679338120524,54.96507931626807,57.80987154197585,53.79151242632588,51.278892156879664,54.55603343143467,53.81020262382035,49.68879513022563,52.76822293780346,54.47515162110203,50.83889774748564,49.698074712881684,52.71378475725658,50.30698077953543,52.944184256110006,52.32316707142848,53.766064637021564,51.49148521775847,46.9225100007651,49.1787102908733,48.25601204743889,45.142153901876604,43.74055053089271,47.05457227183073,43.69897416291588,39.75866600065801,41.59579931678378,43.59274074665321,39.993057008278264,36.89449002502598,34.026629950715694,32.63067763618565,29.587533706642873,33.407452904613564,31.326218656521778,35.093434142471885,35.12259809403508,30.416864181857694,30.915048097887652,29.72444533088913,31.855818787578073,36.46381384478319,36.59456793875896,40.30877301570738,39.103466905677024,40.654559686393604,46.2319301019396,48.40102205334714,50.02973951750947,44.98709518073785,44.838102702830724,48.5744319568129,46.4360591907824,42.40762004049254,45.62297191230088,48.20286936255826,48.91161591124238,48.84768606282669,48.19295590412323],[36.59843471394164,34.81330472004264,34.93141229343991,30.8620305610034,33.14263274327862,37.20886510024504,38.20847305483057,42.77859852819933,42.11567871686073,41.57571885683883,44.483838738998884,48.12628194264113,45.70419065297504,43.00265185166545,47.94287332698107,49.25567346356828,45.57512645452643,48.3835570302827,47.13075925286155,50.088711746744366,51.27543081055457,54.003263940713246,53.20091843086889,50.304139902924604,49.259620093298935,46.52145425157673,46.201150007027245,44.62276597237245,48.032982081933035,50.07198436432365,53.51236032642702,54.51955529325296,58.490843683229016,60.772651555839516,57.844684891233676,54.47786629635501,54.397995845164246,51.75587843799902,49.642656523138534,53.91976795889853,48.72026844711107,51.224315387886314,55.28384137035175,53.35646700701619,51.718205504935526,49.273654336929305,52.32202729499266,55.21741107016014,52.296332616360615,53.62810072884562,58.344035985091075,58.73847967665197,61.96993924235715,57.66707385767159,63.19987752651663,64.78883764760273,60.529324386840166,61.84762416994037,66.32053807222522,64.13415816699485,60.95014852498107,63.49352362387212,63.01400422227224,62.49072413356099,59.511935863626825,57.415902973532745,54.16951061236906,53.31541868380808,49.64636694245701,49.62924347370666,47.451826902921944,49.0799062322331,52.47768624648412,54.249323102823524,55.688189258516815,61.409210248252656,59.973632329733135,64.07574239928663,62.56826133868177,62.21776529058665,61.38877244883622,59.31574660602766,58.77765533943919,57.469512317101554,53.316830038185714,54.30659464898559,55.6144562049198,58.64165746564878,57.2293424814097,62.13518167550113,59.38940102271962,62.15815536188928,59.80985972666572,59.16618058416528,54.80772086376946,55.66814080838797,51.644836933611224,54.974424230311584,53.121769156345216,55.87725379152532,55.69744956582854,55.06595211494946,54.94569950421607,53.03062568366651,53.260525726401085,49.16629045984813,50.86505550801438,48.03758838212623,44.7738582992985,46.74162370401209,42.9229590718543,42.531168309209015,41.06227131904004,39.18019747003521,40.02089587952736,37.23676045169754,40.14791023847465,37.49614731944814,41.87522620035189,43.54442086428677,40.38650743413672,39.466224155857724,34.90836504023449,35.30943934809906,35.91567745615696,35.24349461543311,37.76536678984632,38.53250432197922,40.21149663287575,44.188348763295615,40.89800668272031,45.02838435095887,43.93969624320834,47.42028414656277,41.80153998077769,39.48898127487055,35.06755451322077,34.06970463564368,32.07187720430427,35.85872043213421,33.79880172021264,37.44511225756685,40.23816871788482,39.91784878260686,43.51396372939788,45.16623122732937,42.43515258679295,44.36427969406464,44.82162034133313,44.29355028476325,46.459889378274255,47.723695119140544,52.21248009317509,52.92451912207743,53.55174336274071,53.350551925882996,50.48771089004764,50.44121469281495,49.889510044240176,48.070920948291146,44.86729216106656,47.405590484105055,42.50948682354252,47.00577972423527,43.95399129585443,39.344715959496384,40.45699589025381,38.41743423931701,36.371016523055125,34.94800670520865,37.59268446353901,38.4398136831195,43.51779623349289,46.70307681184604,49.5453892383591,52.35220058770778,52.1202833641655,57.0165661475483,54.28391309940274,54.90323008534267,50.7289292889176,48.996715077930006,50.28886751024876,50.644989322702116,47.77321699879036,50.4465053134676,50.1560060652829,52.185191436994934,47.27710759990377,48.62492917132947,47.39404394707252,46.73057992140666,44.841872588881955,43.34093557957422,44.15327340613682,43.78171636982976,40.45627305210945,42.98514642045228,40.787272756250026,42.81347274689015,44.55294740730551,45.81961196587456,42.2007791092993,40.25364431161925,43.961275342738524,42.253805930190026,36.34507281943114,39.75756315668426,44.35154909291006,39.03978651010572,37.54146277947024,40.97920431745685,41.116061370910124,36.47148468886964,37.45174553041165,35.69481569390011,40.78345882399803,36.205361267050584,39.196665397160686,42.93071847195969,45.98184976725622,48.95871115257676,50.48295753059848,52.96360338087384,52.12251605994428,55.113199098815386,54.0528245027963,56.05994240302385,53.412166408732666,48.6312436288639,51.3119636548458,51.73245035752428,47.06547308307105,46.26763982509165,49.01681686418569,45.966417552452306,42.062924261266254,42.935629930608314,42.138109480868735,47.10767403646546,50.04863039960685,50.77181394465955,54.26068727081217,57.189656751061726,55.73305645299403,51.86281230397546,52.954796794014754,55.529264625920874,51.36877428338898,48.949447551818835,52.016521129324204,51.040572827228196,47.00111585545303,50.29669029993556,51.75377266294394,47.88436781465587,47.086464587311596,50.284188102564876,48.089720586714826,50.91088604958286,50.33633050894556,52.12353576096616,49.79291680953362,45.040757487914085,47.640823608518396,46.956718340238346,43.68621647442259,42.38040711038722,46.16285143662725,42.87749694664766,38.6482160131328,40.79002219393617,43.190482761485015,39.60005786223737,36.243284802966855,32.88779685858273,32.11991402367197,28.62498555093089,32.124626521314696,29.43884198783,33.06096932707158,32.4988323737095,27.945231768929876,28.82327979903655,28.19487241987746,30.397540739257067,34.876120160582495,34.51456726827048,38.384058635708335,36.71488048848127,38.003604955588145,43.60257136259219,45.750940854308574,47.07977366924067,42.01751229537196,41.8756890666203,45.40596177172723,43.09097304436209,39.03578598694734,42.35952764717881,44.768789326181505,45.530238766464464,45.59865556879645,44.96349958516029],[38.46131546405665,36.87929389477515,37.28287564608324,33.74971609829643,36.36075054360517,40.43889359121685,41.82852873021841,46.38394450427253,45.892073579695314,45.71245460061535,48.65661999006801,52.16950242047247,50.011823127216154,47.40966115115188,52.427629698229694,53.749077116118755,50.20548266911235,53.17177883792175,52.09297745325648,55.00175403248061,56.291099189188074,58.99349052625621,58.25967981531174,55.36459916658618,54.250352308316195,51.52742236249567,51.083669629290185,49.42528284820605,52.75256852666339,54.61810641599285,58.168323249351396,58.96974435561729,62.950779861909076,65.3955720257887,62.456365644761476,59.19068601642798,58.934224492141,56.46808307613184,54.335641237772215,58.52047264080147,53.454814630200985,56.09633284777402,60.132534492999824,58.19232675254148,56.583628022053496,54.02342832396344,57.046291521310806,59.985897730578785,56.9525489603062,58.148147441237064,62.91681153040405,63.23001257784295,66.56156621380211,62.28445026771542,67.81927445231388,69.51066270138529,65.33940532238816,66.64523633287561,71.13847914158204,69.00438817309126,65.88787089101353,68.47069707821167,67.97594314616255,67.53890612906697,64.53544559385789,62.37399018665254,59.19229200694504,58.24324881091421,54.6158315861805,54.470532884010154,52.341900072389144,53.96893754293331,57.35484914741723,59.23755350770546,60.57740170670998,66.35311505936842,64.89511307005193,68.9394663973641,67.39868317659415,67.0424490377658,66.05526386594397,63.924169938461986,63.20019973185457,61.83351328046778,57.76197706354798,58.82788164889169,60.32372964470598,63.24932121660007,62.020903516673094,66.86965177624806,64.17836334782865,66.98505491741763,64.53979073816575,63.76525021065061,59.33606503702093,60.12939387000353,56.039335489884145,59.29225916912577,57.28186376429831,59.762332701779435,59.85030424122582,58.92634868979699,59.069264208034895,56.85139262554443,57.06339192636255,52.79974818606678,54.18690532494513,51.2935462461718,47.910350909940334,50.05543282642824,46.27839775322769,46.312080283458585,44.93037024020734,43.32782691495769,44.41476573054448,41.800457182488685,44.87566228689053,42.35713004670168,46.86840098908522,48.39343073860792,45.21534026390356,44.132331251258,39.58868282724799,39.763254695463026,40.066142923597916,39.32007532545182,41.357007171380424,42.23413458120891,43.66953837289435,47.7708806037949,44.19528751913711,48.199211383451214,47.37428734526942,51.010894166699565,45.53103174953047,43.401716262928375,38.7241291196619,38.20440630340383,36.4795966065593,40.370020627354165,38.608740724684594,42.31329505373494,45.09756325396704,44.625995585146335,48.21132432005581,49.79702009086493,46.982950556101386,48.7375031094796,48.95979462946256,48.28181536990407,50.14813957256946,51.36350481043919,55.68856682719328,56.216572689459966,57.16797703452559,57.11059387734105,54.44345256506985,54.27497878463455,54.026101416968025,52.01850636435967,49.030275931426644,51.8334862846668,46.984744070539506,51.48470588635137,48.31239106357418,43.76138790796137,44.54883055634702,42.469725821758345,40.19865100452378,39.029679706294594,41.55429565473462,42.652786328623236,47.706484690436916,50.880173815791494,53.78274275583885,56.47311349929728,56.402092839991184,61.21286285922201,58.57368059215255,59.01436427700911,54.87953655113554,52.89816839468358,54.11100413246767,54.45844798719511,51.75169839437034,54.697056869895675,54.63428243294099,56.57184169633525,51.74357661791978,52.83007697971338,51.38471661878926,50.75215234022931,48.56705768881182,46.91204726477739,47.480253788243324,46.76433233730099,43.475918210974804,45.7364270852825,43.292810821334584,45.52359472365502,46.77241642934581,48.21444174321611,44.80772050495547,42.38494016797996,45.85957450032953,44.40262508813914,38.40792101646406,41.35566113497219,45.98509291968561,40.86419597693572,38.98196912167003,42.150678955847454,42.629969247625525,37.92048868998114,38.285980397418975,36.59851628188035,41.34065983038388,36.62743157632351,40.02705613198215,43.53400718984065,46.452303597432895,49.01692439171071,50.755184803045125,53.674738587309534,53.157199735829735,56.328957274191644,55.69988178650039,57.56665806290457,54.585662800051004,50.178500927379005,53.10557147378865,53.20896602207939,48.471016988144925,48.09050353529739,50.98509819188251,47.47035333744569,43.63450652706371,45.21205159627818,44.24032999160305,49.61021409617788,52.303370471317706,52.846350118173675,56.539658459832076,59.217403407849844,58.168888217799385,54.324152442650245,54.94424325753373,57.68233690385832,53.78224297552158,51.00004795879695,53.92453841469991,53.06915605162861,48.90065778591215,51.823487228015075,53.27959931159298,49.485715790288005,48.34341908978697,51.33227883358098,49.161941959570676,52.107086366700045,51.884512867158044,53.437278598381496,50.74197717114485,46.35982092521524,49.06036837747453,47.917662160086294,44.64843595540815,43.80173869866744,47.178118334092574,43.480678147225554,39.69334796223877,42.1210535633111,43.97324441786469,40.05247543019466,37.00663561259788,33.90706896138014,32.47573421457117,29.083403179859516,32.36610213824251,30.3826665701336,34.3999560981168,34.26910213948626,29.59539657469883,30.65058346079992,29.763258470900396,32.36570979203347,36.80612579276649,37.11603307528053,41.151465510415306,39.865202810127485,40.76775510196769,46.43628213610216,48.28200166161878,49.93752007608612,44.933797355165865,44.29415283262261,47.85666609724328,46.03272645055666,41.59805778396707,44.46016372966122,46.79239853377043,47.41081718064635,47.30480822056157,46.47083738854137],[38.96972139304015,37.04963711887498,36.90651711507884,33.67555748701359,35.665693154443474,40.37806226105763,41.720084024352715,46.273868843430904,46.22726873459452,46.00566140986166,49.1623628251722,52.54689862605712,50.07456042296621,47.832254431773386,52.83453509670483,53.87019795811627,50.17223596910533,53.14399131792612,52.00226313458358,54.58690798009142,55.88312358937135,58.27050058884874,57.635450604765175,54.630069063672735,53.41640058988762,50.97945882523428,50.38540687789173,48.94165674917903,52.39924154524962,54.29496270847802,58.291196461251694,58.829498192817525,62.97670795533251,65.33991160523503,62.16226611871413,58.843284966092455,58.35777937250401,55.70218477830615,53.33738321050641,57.11314942036942,52.16938758964157,55.15930602597205,59.01147896688574,56.875503527156,55.20964076762872,52.402358071618885,55.29549535894444,58.37903676717882,55.28190469612849,56.11276723899134,61.00198473131652,61.30850962876496,64.79098846242887,60.688931006852606,66.33776575801086,68.01075731765322,64.01852657106032,65.54190433928248,69.96980072058545,67.75131390146827,64.93993120100055,67.81206878352832,67.53973768754825,67.14462794106394,63.9354005289511,61.813631808753215,59.02951000948622,58.19505445141836,54.84014811898528,54.90765077852214,52.91221218826387,54.80638032149235,57.98106334045258,59.61976867591613,60.799030579584866,66.49661766524183,64.67736019952281,68.74527201143235,66.93226848370799,66.30791506232464,65.16151848443955,62.72249963637566,62.028908512929156,60.342435451548475,56.31700569311967,57.73612888063015,59.41401586311099,62.49678620677856,61.52215967275699,66.58128857021103,64.14262193424355,67.19930535221539,64.869487351088,64.0945961798013,59.685054102932824,60.76268890927318,56.68221717585946,59.568234358797,57.48076123448573,59.89391540093275,59.63423312917123,58.42797330590141,58.364512169822014,55.90637250820708,55.62955340148692,51.46836341751357,52.5886524872595,49.45683394407659,46.28005058556584,48.753494299395626,45.22128932250343,45.32113390342131,44.39968444948265,42.66593215017517,44.13999510151718,41.45848950943182,44.592017023733426,41.987365560237286,46.74886800013797,48.413444593838705,45.42594842669126,44.362893064307634,39.68676836045788,39.73354943710813,39.98857139417842,38.621002067676415,40.65371153530563,41.09381206539762,42.20777941148606,46.11221560301346,42.18525829342146,45.97243663304368,45.04202303989015,48.96625453118517,43.52203410486456,41.80425610616563,36.94232284100476,36.77972978028157,35.383220071721915,39.30280788919776,37.70520249015004,41.237139028018916,44.2534411277391,43.71272134789723,47.18784364808172,49.046254333660606,46.280089196699606,48.151392663901234,48.24972860131323,47.903253991196166,49.61817508866971,51.268831672751965,55.43063954114184,56.40552138096393,57.388421905362115,57.00696118214707,54.28554084312564,53.764424405034134,53.53682037870563,51.07810011541635,47.88612706956552,50.84029201779903,45.767643485913645,50.120408949069045,46.537409082104716,41.97622698479026,42.3542273244226,40.035754184099915,37.712082517194325,36.97214583582479,39.49577810225749,41.00007011071815,46.000770047327435,49.30951996425594,52.419163867873685,55.20354665577159,55.50030956475804,60.06838161162063,57.21884726186386,57.46738045182461,53.122800653398066,51.273870256603324,52.035204356386274,52.149444113047565,49.60070609163558,52.66908818595433,52.93009612820042,54.52345454429312,49.69273127342096,50.47073506570397,48.75228515758866,48.33877947011971,45.91338507885384,44.29191762168686,44.77725660003919,43.9137961372621,40.92014298154692,43.20999480592095,40.9425898666137,43.55252697359327,44.694519374184374,46.52650525310257,43.253999036465416,40.59514787368929,44.18607917866964,43.16065033462157,37.080533747016965,39.89109935182642,44.84601194219032,40.08588914228096,38.09741759998851,41.33198164124176,42.20905812310734,37.627358825145954,37.78939710394134,35.72637897400348,40.440239644759636,35.00468063281942,38.40978770876043,42.00122955777146,44.46360935680425,47.177034171596794,48.575825313736246,51.5618279425546,50.888321296832856,53.95267193203496,53.41535405696937,54.94400383468557,51.91344541292126,47.72860323070738,50.51168168667144,50.25503899479697,45.6062459982692,45.34539356437876,48.02968527888726,44.25360764240947,40.60059009092578,42.30205026158982,41.713368215075334,47.23562285789766,49.84844191276337,50.69780596098769,54.47385368529527,57.33354789876957,56.42647509715364,52.56928801060998,53.27520470435922,56.27317395117682,52.49654315176868,49.67604202193414,52.870559305879475,52.267081081360615,48.03757356639478,50.79625911110991,52.55916206172688,49.05114553021256,47.586862422349206,50.419041129421274,47.98644328136578,50.669365150212506,50.293550662095804,51.537984409423345,49.01555190047646,44.72720639981322,47.03334560086079,45.77489787570368,42.67213964538243,41.607856903705844,44.62670343735375,40.98597099524353,37.35771392328318,39.43113976566114,41.04924569931588,37.21353589127043,34.3201054780112,31.624547133444956,29.79565909244202,26.820803647504494,30.503986870564013,28.936772260911212,32.96861417684836,33.410605258885724,28.61602948362921,29.177755336951705,27.75780116312334,30.207707686760656,34.759878193314385,35.48551355650368,39.34261022212653,38.52985433489386,39.72854980260388,45.35327870133047,47.250043810671954,49.22631181448171,44.25018364113595,43.6679939634655,47.48464057197097,45.829409201986714,41.49427763154914,44.30555729791834,46.90350881264861,47.51440581962017,47.30727087272437,46.551988974641425],[33.040407542021555,30.989137408695424,30.747951936100517,27.364337853703212,29.387254879528513,34.04798798952457,35.414670710654825,39.96662132306021,39.978026287348,39.8839546228925,43.09249648986515,46.38315079071546,44.02472730777882,41.90434647286084,46.961534962082865,47.96339865378821,44.40777847690977,47.58997358370554,46.80630189080326,49.340938879669956,50.92959350674537,53.440726242401105,53.05233990140683,50.248208925324846,48.73010019761499,46.08958815314159,45.22086656256704,43.50859694388158,46.784282314232854,48.460756915737214,52.54774404969547,52.88019515534272,57.02816916130841,59.54769345818447,56.384370861762164,53.20579541786658,52.56966863434252,50.22138284728854,47.974305860134436,51.939417027288705,47.177459684576505,50.14054062545898,54.10030763117499,52.21120029062343,50.85460667203644,48.10885127154365,51.26783658054516,54.04492316005713,50.63675500017431,51.82468051374831,56.548208084136824,56.62622566541471,60.07282052707858,55.77030086794157,61.2615906725618,63.20316450741651,59.228516584408034,60.44626624059539,64.99768573321329,63.09591411813235,60.12101786729516,62.850114528182495,62.397040724184954,62.29762362907549,59.12522845754474,56.73912877919439,54.017839307781685,52.90197697171633,49.67364745509376,49.50744679059197,47.66983427980561,49.72489072453372,52.72413012103223,54.54456296083471,55.43387624191057,61.2329227984926,59.374343129033925,63.3126331031917,61.50439668575954,60.99245571788088,59.66499398717527,57.35363762784771,56.40468373293055,54.89869558675007,50.9371626375784,52.17734400005703,54.003857475933984,56.85161405682369,56.043339346437996,60.95244617250678,58.572619169357594,61.70350715920686,59.24418466155484,58.30483619906124,53.830185479355855,54.91549880724495,50.7870915551289,53.53213676680199,51.34601269809277,53.64372939097715,53.495096101148974,52.216070444624975,52.30728130436142,49.80631320747822,49.757704457831395,45.48578869612146,46.705054824767934,43.711138485094224,40.39049034234222,42.70528521780988,39.069234335621,39.22172576332194,38.194957985431934,36.61753402179624,38.17747860738045,35.67449381556347,38.99550421716357,36.65518104862576,41.66399472816217,42.97710073797949,39.9749945686749,38.67392431293269,34.02056085114506,33.81958798123239,33.861137601639435,32.554805990149106,34.420680752673995,35.032116855932074,36.248986291863496,40.30732512473967,36.57248606242766,40.528695595186086,39.77846357190126,43.47440296102241,38.067874911379846,36.09957283718735,31.255755580655645,31.110602772851184,29.757610464065884,33.77073326302213,32.60182015645106,36.46373321933297,39.17423998011858,38.35890016625007,41.88332406830589,43.455499919278516,40.57328631571693,42.22946695896305,42.20565354774597,41.716087075683404,43.36826070362917,44.966440365750415,49.121079253983915,50.0896357674867,51.08977394676077,50.72599860111741,48.06198933968365,47.54671366840808,47.43335891252938,45.02118081158515,42.04096932132387,45.13049745919494,40.26882843721935,44.734685846791564,41.42554224401142,37.01982928002852,37.47069980501455,35.571433701026216,33.00323066753397,31.918895406770417,34.28363476944167,35.59129349771716,40.59922298445084,43.76723885627657,46.7628995732732,49.395236352102906,49.61323712420712,54.23618071008145,51.594948177695294,51.8390465331839,47.71753171133584,45.57624110338438,46.692664682551566,47.075021856725364,44.481845018201426,47.71177805048996,47.90464321885405,49.849079560741835,45.31201744861698,46.05853979461813,44.53485753435855,43.69204246940439,41.313969605621594,39.487857164052244,39.929341245062886,39.133216689033276,35.78356045325252,38.01402975569695,35.60085744804509,37.89569602311257,39.22151631445775,40.771933306810354,37.369794840496624,34.963361038312975,38.5985552717976,37.281567938954026,31.245761424757763,34.339588830478014,39.172386251034034,34.20663991984458,32.438544995965444,35.832721802570084,36.44074579917334,31.87631796423375,32.451818027180735,30.401863240282214,35.397185194783425,30.30695415849531,33.40283727928342,37.13938959803724,39.941302349290524,42.937098061361596,44.34466564285267,46.94450259497146,46.14212139406796,49.175582229368544,48.33555384942813,50.202215954790944,47.391722639482474,42.80987389231859,45.60377542942057,45.829645790586454,41.1209571455674,40.55546112951247,43.4093479910926,40.106104263207044,36.20472793459491,37.56102323425053,36.620009820541455,41.92477397775427,44.66381035994781,45.33608942686126,48.995982380132084,51.83687356645293,50.710862655846555,46.845957651491595,47.6693178352799,50.48854559824159,46.56602309031308,43.884351167016845,47.05560308565558,46.33098144680873,42.16454626754775,45.16161950172296,46.853291521745504,43.25266369646158,42.036736146606955,45.04570812809017,42.667478717473585,45.37203547778285,44.85481263000661,46.391032419062036,44.006734679400466,39.424077610859094,41.8884641535649,40.983382468028196,37.77054761201057,36.553238879064324,40.08842716602441,36.6894005753395,32.61777873998621,34.8086734506626,36.99405808475515,33.32217946284073,30.04912486211462,26.843904445589295,25.837762987958136,22.432869229306803,26.07334429772234,23.73244284152086,27.519547266953495,27.549475233990524,22.824505669996835,23.462998497705048,22.440500787640442,24.82876884963008,29.337391937144172,29.617570040244694,33.5636036262577,32.47127941641349,33.59755255725671,39.237772129530924,41.18840922945694,43.01153158947953,38.01236814599724,37.535154224496196,41.31326920868894,39.52914010751752,35.265262055615196,38.24092840396054,40.89534842440682,41.60313144968088,41.52019186653726,40.9013798556262],[33.17678548098278,31.565765931226654,32.01794042060363,28.656298598636447,31.466322644383784,35.48009667897486,37.09950633728344,41.62670112810191,41.311533601171845,41.452494183329264,44.477707749671666,47.811367709326,45.892494094080234,43.49636769101801,48.60462777318065,49.87189110118028,46.5391361747831,49.79736923787675,49.169723712879794,51.96804548309743,53.60613383496504,56.38495312105087,55.947800845802924,53.248728489979534,51.784875825770925,48.89742151542088,48.101054283902556,46.152220326125565,49.254611666846955,50.80554369360004,54.53781600589185,54.995223775135905,58.99053766802576,61.670372128441855,58.721552099700325,55.65284644675392,55.130017527320994,53.05632177504831,51.020238525554326,55.29678900004172,50.51135315032304,53.22059064263061,57.32513546277424,55.61340641406276,54.32836185724986,51.752333274430185,55.00530918916844,57.66899066709718,54.26761789436769,55.70865796742917,60.33819074416089,60.37745246854218,63.73161397774689,59.29592332538912,64.66794225472256,66.6772097565371,62.60136770038481,63.611692918800415,68.22282193888883,66.43352440842126,63.225914856213585,65.71335149063893,65.05137606423065,64.96911803290274,61.968711479374505,59.51108483358098,56.473127905063556,55.19969192317985,51.7530042546997,51.3219779092968,49.39494763500674,51.21588833116006,54.391354736099785,56.492857443490124,57.46456810034743,63.36012165918637,61.81289557019214,65.6927387745907,64.11162227997535,63.8392858329226,62.56954959668806,60.51160999816519,59.43909371847534,58.19542828916771,54.250072198172035,55.20254261326459,56.959267247936445,59.60239568361422,58.66662891331327,63.3460986140935,60.77275736535116,63.69967065679874,61.08416290924509,60.07160439204632,55.5438262844388,56.335736351655015,52.164739233550314,55.1953765993858,52.995465844877785,55.20095483752726,55.51520031747797,54.338815584693066,54.76303989591974,52.328954487928726,52.72115086388416,48.28515839165323,49.57815382769679,46.78735105964259,43.23200816321138,45.31960296031697,41.49725835863243,41.81649224677721,40.405425261481504,39.1118320393835,40.425766506115544,38.086516922209654,41.42602743129893,39.2442811910049,44.07681576766994,45.18016009535552,41.99452536478415,40.58867539962507,36.07933231270303,35.88313314368679,35.80962714382,35.072595101373864,36.66910676162303,37.7563834880969,39.13756768025835,43.4166601329175,39.888864738213584,43.94192179118716,43.436580967245085,46.92259313363938,41.59842915027193,39.36062709052163,34.607865812076234,34.37455518762866,32.85827426020694,36.85739262552227,35.68867224028421,39.717934892550744,42.19479603909157,41.371898169234065,44.97727746517208,46.255394492390664,43.29606151924048,44.743625674699565,44.71062190405023,43.83118263886852,45.457597064550136,46.615700394256294,50.82157854973372,51.27676676460374,52.42289888651204,52.43445914885027,49.932905467707165,49.67986314121422,49.711595674915124,47.62728322973145,44.965983645582895,48.04092461906777,43.43499333604176,48.01708230932143,45.041195518470545,40.701051622575704,41.36052946914278,39.66839672852369,37.06826885781117,35.7341814107079,38.015989077035265,39.06187923737776,44.06949981839166,47.0864640953565,49.907103899834624,52.37946207482475,52.34335310667187,57.127729446106045,54.73899724204339,55.06386555199919,51.17250664083422,48.789429915901174,50.272653371152515,50.860389046619595,48.22537151916472,51.46710286872781,51.48312008036614,53.68473463137684,49.20768495651397,50.09762015843579,48.71522745991107,47.70220577584941,45.400830629615456,43.479653971083195,43.864049340872974,43.02629638781529,39.46462768269699,41.499135587440264,38.81109715631968,40.84426999376855,41.987506093955076,43.25814996095447,39.87179006425184,37.444016618523584,40.81127045023507,39.233977568646495,33.27725571056405,36.21507402678537,40.73120417194736,35.552482976759194,33.68002066155172,36.84677831753366,37.26378137592014,32.554813797941655,32.981939218111116,31.33784928226448,36.15037411766843,31.68973698676618,34.99573708892508,38.50645664106037,41.647178519681255,44.27434863058295,46.09867234878566,48.8638221108003,48.38889213715292,51.60763378723804,50.92194788876932,53.011352394624396,50.077683390473744,45.52295330025587,48.56704446895618,48.94301989814317,44.145337298756004,43.70718250512858,46.81083211112369,43.51249252998146,39.515004172187346,41.142558014261674,39.76146445195722,45.10191974690069,47.75971502215165,48.04629940580917,51.72200586149862,54.247861457217354,53.217121595828296,49.395445817037604,49.877742540938705,52.53393793209424,48.65489169522344,45.82386349209412,48.653900040384734,47.763408804865186,43.59789391656424,46.53425892318292,47.936277665891595,44.118642297534734,43.01958331530278,46.05325654209043,43.938915015340456,46.94405043787277,46.763662081430674,48.44995523656969,45.715984389278404,41.272088691233144,44.146292371514974,43.09883326168112,39.75047382991285,39.00271178856433,42.61682405423622,38.954459638885254,35.01807124703997,37.681657198683034,39.75407948615863,35.83830253510231,32.635598593169256,29.241279227172402,28.225924178695962,24.53844242861158,27.608245414553476,25.30516701764687,29.271789417557677,28.987226871150167,24.361085951728764,25.594297572778306,24.963098841242477,27.695385166958637,32.00914685480119,32.26740498091279,36.43094063885243,35.10830717148851,35.72272412762524,41.40494611274606,43.13033995318541,44.82368618793344,39.851738919827845,39.04773689064661,42.588100713083605,40.919715488812386,36.36665139957769,39.128120631878076,41.48070061618815,42.10883716384737,42.023102460258315,41.22132470016557],[35.68942760073175,34.06229434765423,34.39133189720746,31.75677463830169,34.38386324247306,38.76993460639621,40.65455549959032,45.12870337861824,45.230297615370105,45.61527053731969,48.777901791480446,51.91930376485738,50.01313924724278,47.91787720142239,53.048656155590045,54.14534016067362,50.82477054534533,54.18031098105726,53.61964903918002,56.18584274122308,57.88285393482339,60.444062111187726,60.10127895219056,57.32678283111294,55.77437544449642,53.084855447425255,52.12862915487836,50.27164321864381,53.39414660285067,54.83959064922614,58.9126939484926,59.0603289297606,63.1533576507924,65.89687553518775,62.79931136349955,59.77565058560644,58.98492820075088,56.92094987859299,54.72833751449604,58.66481831999516,54.05892487341511,57.07835258484251,61.041612801888434,59.19268871881687,57.88184806894282,55.070062240051044,58.20955950784409,61.00342044632475,57.496007908499365,58.59393089787956,63.33473779427333,63.31412999385109,66.83508040670347,62.54271179235431,67.98037863993031,70.04543740325501,66.15321862169907,67.29787370703576,71.8737736576308,70.06372783951305,67.10233429882264,69.799402762516,69.26950988721768,69.26429608797132,66.12087840830172,63.65421468109668,60.903249355568725,59.647179582735255,56.389569801145115,56.00940201677164,54.188339677503635,56.15010168737909,59.20268783849015,61.226859974237236,62.04598992873745,67.92294296831155,66.14398788204925,69.9956281746252,68.22553484015349,67.7807615188313,66.3006335442155,64.00735912618897,62.81912451945524,61.32835339419518,57.48449428532535,58.71824506893334,60.72191939772082,63.38706244900131,62.7430138296195,67.50542545916156,65.12887817655026,68.22848587375742,65.61965643705072,64.51741198055792,59.96247313141338,60.87326164847616,56.67376034586909,59.41683350569927,57.05803886088321,58.99861384590062,59.30479155648801,57.72237766355574,58.22389718358493,55.40489201643406,55.46526421511295,50.97880415826259,51.82803150159857,48.842912361963585,45.34384438498611,47.78307223241225,44.183773737728124,44.89171808449206,43.85615300632375,42.70104698526451,44.42924193677334,42.174254742034776,45.63886798411914,43.487009759662335,48.530916093414746,49.64052428328911,46.565061630468605,45.07933571004068,40.518579130642664,40.104884519552066,39.7952930304934,38.61546709679917,39.820797351389196,40.70259675757382,41.66313249577264,45.88471515037774,41.91583023360767,45.688963138034765,45.342285035622865,49.124245908567964,43.96899230766903,42.16183014013974,37.12611953575192,37.49500892438043,36.39431002453699,40.45212891967844,39.57019900496162,43.5002542248023,46.12518359767651,45.17223561549137,48.687555544274296,50.0945190616958,47.12004616558421,48.51328502737269,48.22627086445628,47.44800524888879,48.7305082701995,50.118938517550575,54.062274182749874,54.646620014565755,56.071834893835906,55.99626759495346,53.629391635141644,53.0574676174513,53.341571191476724,50.83168651003433,48.21992625099952,51.57568559944,46.876926148354784,51.34784116640058,48.02724800801026,43.73515389780622,43.889614411528214,42.01398748289252,39.23118471428235,38.380603603309424,40.55943182141617,42.053192003249805,46.981209254410345,50.0636143145865,53.052928225521576,55.486214753341734,55.811413518207395,60.35688198048525,57.913904437218186,57.97446218498447,53.990752921531254,51.508220348163476,52.62687413745081,53.05316939052099,50.66371358970778,54.1819309123852,54.577906497637414,56.478349711240405,52.06106485292485,52.560864427840905,50.84100205981639,50.00257483131966,47.322563707399325,45.31048112585801,45.436942049671515,44.21570087481519,40.9029247844181,42.70612984963415,39.932562555210566,42.379129429800145,42.99959257573501,44.67708114191042,41.59787197491548,38.60373270942006,41.80099039378661,40.75778189865607,34.72918012116536,37.103568288897215,41.83062128653405,37.12605677665825,34.84059918034224,37.7581060857614,38.769710369425624,34.14228025223407,33.83173055836507,32.01487343570621,36.4101349521747,31.35657958450066,35.04638260637138,38.35947583771309,41.04324127005525,43.34708400589385,45.15094825865733,48.381779830757516,48.119471692319266,51.42664472572798,51.21211049297146,52.9426184355532,49.673378559854235,45.638780752955284,48.80649818129334,48.65395445179152,43.868945686492914,43.9053040192283,46.99281747933845,43.114214227497925,39.32234156296807,41.677363851470005,40.390995914172485,46.15898438128738,48.52155233938544,48.83836146759479,52.73651559836484,55.13766470013949,54.57732765781706,50.791198755099174,50.894415123259876,53.858605647720886,50.32000928627424,47.150675184245756,50.009258762166574,49.40188071461869,45.106930456709726,47.56589495379536,49.16318157867272,45.634368630898656,44.001413080462754,46.70960522467809,44.45503358603217,47.38517360632021,47.438736111563564,48.68916290324361,45.73322526555785,41.73615647976412,44.42599686923946,42.8668144498438,39.650767763517,39.21009686119946,42.17412969795119,38.16287976839268,34.79772932694935,37.48890408974111,38.862141405100516,34.696711533898686,31.927651070265885,29.091242971994205,27.151496365887223,23.89230867209655,26.96471779449996,25.71615758363988,30.01823689706326,30.548622111584347,25.81839568729634,26.851252151458713,25.61770789262565,28.58113847685378,32.87012778481619,34.02138290031562,38.164248077559286,37.49970868811184,37.970995418909936,43.628329843288725,45.10479297971868,47.283585914926256,42.42411124285752,41.227726087598604,44.93284187555163,43.82068543946894,39.0502511924372,41.335539352896376,43.76415513424617,44.25281093708556,43.92986929713667,43.00082519138365],[32.79587008129759,30.83655455837469,30.690783488715855,28.22961107579212,30.403137893329625,35.20834922506354,37.06850295269332,41.515969185353484,41.97049572447895,42.39256159048158,45.71414362728196,48.700474785522374,46.64131549955813,44.87552989471368,49.995222420063016,50.86951239350792,47.53628582558738,50.98896720043946,50.57869827320019,52.88475056021012,54.734309437955666,57.13759801895489,56.99545618384103,54.26931604360844,52.49411026749006,49.90286081652365,48.70154934657201,46.85673444545501,49.95104483676158,51.29057116652388,55.70105882848434,55.55825974919007,59.752577374534354,62.5102952491273,59.26690523709186,56.29331224033573,55.26748034041091,53.249965282071756,50.972015374341346,54.713443077166026,50.31445073611891,53.541030193285316,57.41968939909301,55.58083031119115,54.407024078048394,51.47895965879364,54.66176542252819,57.369997200148276,53.664657563811566,54.707837656021525,59.41887831354978,59.26759613722843,62.85868218413644,58.5880196065554,64.00084873087454,66.19521196804406,62.443130983222815,63.564671757660825,68.15019230235966,66.4592975123819,63.62397805988037,66.42777358546812,65.95372961744302,66.13138960681498,62.883189277571844,60.31174435449013,57.87363588953445,56.55230723244188,53.56240714762277,53.206966365318024,51.56839150896632,53.78304689488047,56.58638260669207,58.52904749624413,59.08643426367212,64.9385925620608,62.902211284422044,66.68815922478862,64.74173794388575,64.17627971239683,62.4964213820242,60.069399795116865,58.76481907854417,57.15885219688223,53.39522793623835,54.77092069794284,56.97330289608364,59.608647945439365,59.22951736285861,64.03914377651687,61.87488654250492,65.17186284349958,62.58533040586351,61.40287807622582,56.84538830159332,57.95549677462457,53.75568143479242,56.15910859347662,53.70600412902886,55.534991876768814,55.650908427584504,53.83874494270056,54.27430247880462,51.26991061847791,51.11090931782123,46.64476968322026,47.35286760981617,44.27893975505759,40.85026011464248,43.43637518135932,39.96740472092868,40.76171307226883,40.00665914650283,38.8588162881975,40.90266564570907,38.72276217478777,42.304393796947984,40.25931107234548,45.5660303923865,46.57284778691476,43.64200570695235,42.05349581713927,37.45543593242663,36.81586781457168,36.34858689699143,34.76492358976862,35.84492197426363,36.50435673171338,37.27476132391048,41.431402016873044,37.320122233669316,41.021950287547874,40.71569030646297,44.56585834106578,39.481445622505525,37.84129810844616,32.69955852095008,33.36490373109684,32.552781790299925,36.64966528278194,36.14385190494862,40.097709192193776,42.68936255213537,41.54080802126802,44.982042470369066,46.40853303694653,43.4211277372718,44.76506838485401,44.320607789669936,43.70038452758771,44.83068209758245,46.49963294204451,50.31168552322955,51.21628833120034,52.66098249071753,52.3618845199104,49.9928570088272,49.17543967720661,49.53583095722284,46.74044860502511,44.11828124411591,47.644125939170145,42.93552164863137,47.340931096681174,43.90406684033931,39.72892414749427,39.62280382626654,37.838746179180184,34.87929299162834,34.151815592819084,36.21027141718571,37.88077231952076,42.74292761188807,45.82465511060989,48.88310331408681,51.286126439029886,51.82538967737901,56.21555772670589,53.74917099768851,53.6701804187052,49.682495591582885,47.1303707901551,48.12731871299722,48.54207199644761,46.251202264324604,49.93914417872978,50.52233829500007,52.37331521904311,48.1445767663012,48.404939404394916,46.61136278543431,45.68041763841172,42.86354833725443,40.757134007817875,40.78779421134945,39.487075286643524,36.18171619951401,37.953918580855394,35.21159746015927,37.760000035356384,38.397330932673036,40.20524722036145,37.153497730963636,34.1153258909588,37.430088879288604,36.54420023839173,30.46823765384798,32.90038921305187,37.81818735331064,33.26457156383038,31.022719991292504,34.09575208357083,35.25458351281484,30.737295104926996,30.51804021575203,28.40105206998989,32.96685368410886,27.519020957049218,31.04206521418469,34.532130971680616,37.08349406182166,39.69754998344548,41.25347316736074,44.30207584093106,43.827308570787885,47.040938899228436,46.70608826960815,48.39408147641264,45.21449776562173,41.09016439256934,44.16668368063812,44.039112936162816,39.26501575529874,39.21002139959422,42.25753492425789,38.45193304032713,34.63009953181083,36.895299487814846,35.67103382974381,41.44154277521595,43.819057508276494,44.25882175181163,48.15408349933699,50.68431880263832,50.09427750217709,46.29173452029556,46.53243266771891,49.587013477780346,46.04819503344965,42.93189106055946,45.98543208147124,45.49379065380748,41.18948846032481,43.67387328648129,45.46400050964807,42.093546553608014,40.368251790292575,43.07213869390104,40.64171603817206,43.38889799841394,43.23366559327455,44.43205006847157,41.69017041214977,37.566211541518115,40.05778347384976,38.622915085946225,35.451782862379964,34.74746443872742,37.766359830601026,33.928559485038754,30.38917479537074,32.90247296560119,34.44955777869786,30.425139584488843,27.51096767479555,24.653180258627728,22.88046440012347,19.633667347343085,23.060738719759133,21.66519248909298,25.870598076276814,26.629976959001915,21.835186031733027,22.522866001306824,21.075504135490824,23.929468617397045,28.28821297659119,29.53397096777023,33.598989116520066,33.14749978084795,33.77932858955299,39.40474521433741,40.947522416633355,43.27369682548577,38.43216543648658,37.33861731850029,41.20748518644539,40.145303119952736,35.50658716869509,37.8451947968516,40.50687130035363,41.04977833776705,40.72927240601151,39.95069154290313],[29.28514534794062,27.47490448861515,27.679372583381447,24.982035352982923,27.664425627236668,32.020743541757,33.983273055611356,38.433359038585905,38.66857146367334,39.235918582067896,42.46517022143993,45.45950142059902,43.683219177101705,41.786146086502846,46.950183187457775,47.97306402690507,44.82848618297289,48.40278293486855,48.24057823271581,50.695882439241466,52.69986731311337,55.33993692896502,55.27395955605079,52.72062703713693,50.84741945324183,47.996059371929,46.73117735847959,44.61541284745641,47.518068723994226,48.70177934427155,52.90364313155568,52.783523200394974,56.87788948973772,59.77979240526066,56.68635088665434,53.831978287483714,52.84708549100175,51.12461937397296,49.05290184326592,53.12037726388055,48.7647325332178,51.771220276596495,55.80070906570897,54.20677810002864,53.22627939187459,50.47733271275371,53.85358621048489,56.32075140376701,52.50480210735714,53.930789933445354,58.4765931064343,58.213027659916534,61.692288708920586,57.22786801972414,62.478851541920186,64.82034243530683,60.98768855866526,61.82285796154314,66.50008422901325,65.02570681542566,61.94150511622293,64.50369860866546,63.80930316613499,64.12139757429227,61.01316740532047,58.28328843744149,55.66123410465772,54.12036153507476,51.054105870394395,50.44009872316957,48.82264658004026,50.97454225948344,53.78998760959142,55.973248223097514,56.454364676418365,62.3987406115272,60.55022261939521,64.24507161903753,62.45832945107019,62.10734827105218,60.4176091006969,58.24049607193184,56.775500751571215,55.45427411502428,51.71102192771736,52.781443485682026,54.9621662902207,57.36898222525036,56.94356255017368,61.53971248954023,59.26722430948445,62.46002594249861,59.73233765783418,58.45057467494293,53.84321502587333,54.78674446337325,50.550206041112304,53.07908735433631,50.60133371053618,52.379426698998046,52.79019611346333,51.08360464556909,51.75276532814341,48.85119715999292,49.12096757339299,44.52471435035173,45.43326319157982,42.5922637746043,38.94760390013516,41.23849361935592,37.557675283316314,38.38110050283998,37.28170399745182,36.34113722527598,38.21586229285198,36.20489072071355,39.86192985597591,38.0376453360285,43.322652217937645,44.0385970131011,40.99532782520804,39.247419652223385,34.75908579356245,34.02604598241289,33.42283689450134,32.26169591362327,33.18487869815819,34.24424948569677,35.259450390433024,39.628925146798466,35.85076689780024,39.76056242657986,39.637135713603776,43.170746656008035,38.11704662579925,36.097551663025804,31.09643187985606,31.580299763493205,30.615749801042963,34.72591952705492,34.38624494461041,38.59645816781083,40.872020607170896,39.61135828834025,43.129524435150465,44.22707513362402,41.148737978683606,42.28170350281191,41.82300268399887,40.89994985906181,42.057921855328395,43.419558851549446,47.31556294425684,47.92376318575711,49.394645566556264,49.31697286067761,47.03107286149381,46.42197866698756,46.86193824537397,44.35810977899497,42.004584824782576,45.52444099188924,41.08664655739061,45.62619563204985,42.5927068384957,38.53136449756938,38.699607145176344,37.28922268431289,34.25507982463319,33.095180544473365,35.04616408251639,36.35801734859834,41.22990532515594,44.13759849284312,47.00133055469424,49.25061364611188,49.53228343241792,54.087126182749564,51.87109428334353,51.89666113736545,48.16855874550336,45.369908542694674,46.831192262439416,47.52961746930628,45.13527212761674,48.82865034426193,49.19017100617483,51.415802757650184,47.3547477750581,47.775170782314355,46.244085065551495,44.97485265870065,42.33394451351751,40.11010491229738,40.160604458602165,38.986175098448655,35.32539801409918,37.01903025566622,34.07801542608776,36.1939680027794,36.9706381439057,38.361499668758626,35.16545378397587,32.40195974920461,35.63866999007272,34.30366134634382,28.298687982956213,30.95941161239121,35.58674685999004,30.660487390673122,28.57932878454733,31.695147839539416,32.450767975377005,27.814472996292597,27.937519976450766,26.09090135480152,30.85007652005407,26.12025043066845,29.478921792651953,32.981343751995844,36.043033892738784,38.69364565866772,40.49064753698531,43.28745494257156,42.86177721966882,46.129420811827366,45.58618010024127,47.67038687812173,44.641914762233085,40.18139115237154,43.358640258878786,43.71698007075421,38.87588465750456,38.59099524910332,41.85685182422741,38.48846743260998,34.44357546868751,36.44829222276318,34.771097143680585,40.31239781281967,42.79042757915056,42.918558978854435,46.69817821449726,49.08330504427237,48.30203528998247,44.508819107373526,44.72889792090717,47.521867262797976,43.83502615988557,40.795926244952646,43.65035311346739,42.93047796446926,38.68181735458635,41.39388792141517,42.94364440800272,39.321630572137266,37.92697388728413,40.83503464836285,38.61056964971602,41.559112220610395,41.44700258657847,43.005450103550935,40.20781431104736,35.871949786911905,38.73047438751062,37.555297067879465,34.21271485578037,33.602224944154855,37.12929159860274,33.39180243071731,29.52588378057189,32.35722870066015,34.35099682685272,30.378859593346714,27.182302433826624,23.7635262217032,22.76724704467924,18.981828322605395,22.00572968239152,19.84550467198639,23.934560892647365,24.052095062244526,19.344294136121924,20.506585613481736,19.71551571615741,22.673765487849305,26.887685589326892,27.625299179189913,31.8710836257522,30.97072207392739,31.307069466834243,36.98245074786682,38.49604550507985,40.55538563295811,35.67906119674757,34.552452483133855,38.24817369482031,37.04705734675289,32.32294195382086,34.75456319778006,37.28020215575881,37.870507107003135,37.676348020850455,36.90446098485328],[29.572723403373317,28.193208355360532,28.998104437128923,26.745714983760326,30.023289282658357,33.88120940699918,36.195667252594106,40.54233947592923,40.70439335449822,41.631386614325805,44.74639442655485,47.63518485289632,46.298807159708915,44.348592747982615,49.54165823950537,50.698708127986116,47.80502236210634,51.50948758980724,51.580984440826676,54.12934190185595,56.248358660417665,59.0269077636767,59.00959171041512,56.552198952462604,54.63595800981941,51.64237946436689,50.32396586224146,48.01482680191268,50.727454275983874,51.701896937104344,55.75530571028889,55.55023492017411,59.53708337722484,62.63230495279098,59.67024061488816,56.975533632985226,55.934857271454845,54.52337664003661,52.59033442297795,56.78194511327343,52.53993049827917,55.45847522025807,59.55016784004396,58.089252836800945,57.214466852644904,54.518217873424284,57.96114189116744,60.332539838186584,56.4259700909999,57.97031667129409,62.4436089812543,62.083707606246996,65.5431043521562,61.00895572189687,66.1422136814934,68.61281453409457,64.79143004100709,65.45217636555215,70.17724137908819,68.85483455495837,65.66444809012093,68.08338064058684,67.23739059485122,67.66052981518536,64.64668033547382,61.808546286436616,59.073120169668854,57.35803011978403,54.23249387136496,53.375146896909605,51.77166692986278,53.810539011948734,56.67111648217074,59.08530468625203,59.504372569484744,65.52368340371702,63.82589157913945,67.41805374871102,65.74336921557571,65.5401308424773,63.76972588121474,61.73281537063824,60.05828367293889,58.89328412239995,55.24136674597321,56.15655230024622,58.41236884253808,60.595018408142735,60.2346926399135,64.62356482449314,62.29984964694537,65.40402049613576,62.52635424795175,61.10533162273792,56.445375203542,57.186453974662214,52.90960437332285,55.50252680258788,52.92474877847323,54.447083940959836,55.29369892872404,53.4690057892159,54.505546214585934,51.482501177380314,52.03007586172586,47.27354469136048,48.04503782375213,45.344421826111535,41.5218309899698,43.72320388440351,39.99974291513149,41.16713468434345,39.89862159010889,39.31928320789854,41.17570217190985,39.39551659601932,43.12721192238438,41.50936886058887,46.754718490030065,47.22759207408745,44.09989827368026,42.19355613779064,37.84941301284051,36.981750940578806,36.134253383731284,35.2894438663797,35.73406422327866,37.13931530729337,38.104913701568755,42.624444492739165,38.89678947201044,42.75323667215167,42.95222781559089,46.368676083888815,41.51288945760163,39.43366920825185,34.44719957435591,35.11775039469051,34.21807906419462,38.3142805938226,38.162870917426226,42.489255202804124,44.5850704903014,43.224079603959446,46.75361248661349,47.60341845560501,44.45224633466938,45.329885100090195,44.72084101061484,43.48061554606535,44.41881891264658,45.471586605554535,49.24746679691984,49.44104121769313,51.18733292977546,51.413356368306744,49.37215034870829,48.84544411977491,49.56225549336253,47.16989008449031,45.183091644345346,48.82209810652741,44.6285232198746,49.20552982324121,46.360565944712306,42.420353192526676,42.553684950476246,41.303001294000246,38.15292949368072,36.955052263001136,38.755677317974275,40.004727624503104,44.803313272017014,47.56681394911082,50.31845962163594,52.36587911045989,52.58109234069855,57.14554570462969,55.17908337047192,55.14792139396492,51.64035626758727,48.54866513845491,50.21653134252645,51.06239256730305,48.750009683502256,52.58753804682456,52.957196659837464,55.31402333950611,51.39201448544628,51.752963621682014,50.22967997619291,48.82871966373907,46.11143964179691,43.74972766742025,43.63028685548084,42.27061595160618,38.512339096944224,39.89487084007183,36.67473235162061,38.65898562165308,39.03763042183944,40.292885002686816,37.27724329278348,34.30112573024544,37.15742363669458,35.79823709609356,29.93667115281467,32.16571441913072,36.501533055046146,31.63281117026006,29.302407677233482,32.04295055716972,32.86063017046073,28.186571233744562,27.83209432125985,26.347346384337335,30.685540465415215,26.449784253798192,30.103006671105902,33.25985783432392,36.47702888076165,38.62319034494003,40.82824901870982,43.920367695145345,43.89120364421298,47.34799872048521,47.12492932492081,49.30138295061428,46.06116206066761,41.83775420015629,45.28436372648131,45.62515031871303,40.741200579623246,40.74370025374001,44.234540513302015,40.72694077231315,36.687017636269594,39.18984707676872,37.1066979510585,42.77866032996389,45.0413753496372,44.78552568718685,48.63456193802956,50.63734326240684,50.141258321910804,46.436084820355745,46.16410512030479,48.89789578976089,45.42374325397827,42.12453432323332,44.633656001033195,43.88006571640641,39.613785920833614,42.04353406269163,43.384837092711784,39.708438860943964,38.20977297881663,40.98769808603243,38.98127934714062,42.17180387550275,42.480335046795005,44.015826918175065,40.81402696445707,36.82123761990567,39.99265436253453,38.51007291733248,35.113106540012204,35.0964972642364,38.445964763619486,34.37504027277297,30.8876381111776,34.17403727637664,35.81044352297537,31.573286389872912,28.63563607689153,25.27102235215917,24.01178060712332,20.16647609650026,22.482816507133602,20.80782483191751,25.09665414876958,25.235424254562552,20.72424671161746,22.36361099809488,21.767813335322135,25.063797723779818,28.961834565962878,30.01591256299393,34.39594402387176,33.56259605758711,33.33240509137433,38.960573916337694,40.12629057559819,42.26624828657997,37.516741264580645,35.904838100879935,39.409182551839606,38.60083107274391,33.554852422631434,35.52164560357346,37.782284785719476,38.25062023085046,37.96314546189104,36.96581636567704],[30.957575637555678,29.205001827184073,29.315397945419033,27.773895266085468,30.266738433525983,34.88382624610829,37.24343042679126,41.51599027667351,42.29896934774109,43.28751082617693,46.63669774147518,49.294314467650025,47.685966418678426,46.22240894271348,51.37584763208412,52.18830640228697,49.193328606323526,52.94191549936077,53.02219888918225,55.170792917134996,57.345365453967375,59.76135629478762,59.90190963803757,57.3575312485321,55.287757671977765,52.61500776623153,51.06918366839326,48.96772068188713,51.76392260072421,52.685539889890364,57.27646681335244,56.67743366060827,60.83925225030558,63.89095957682223,60.66331994603026,57.971302733832054,56.59156660968852,55.06746083447699,52.88572767041227,56.565714152174145,52.57131789163807,55.91113248794125,59.7746655852445,58.13041505726854,57.24959255570889,54.26290564448843,57.56678820361201,60.05473507203464,56.01408284417728,57.135057055215405,61.71129187161883,61.272016047739854,64.92159297437549,60.593629500750716,65.80958676601912,68.32736014793278,64.76407615319681,65.62416645725071,70.27760705591108,68.92486656018629,66.09648240464914,68.82869893820127,68.21482012065613,68.74081987674809,65.50485675340295,62.67483024368066,60.427016704859035,58.79582100098991,56.014122067461834,55.34910617885293,53.92694770377671,56.258825613193075,58.85740309478795,61.03125658386805,61.218623351129814,67.14502653237744,65.03674471852776,68.6085969755804,66.61702654678855,66.11709241740829,64.09157104017861,61.70089468790673,59.96454912342609,58.429976738006225,54.89738495415992,56.22742430212807,58.7717373505323,61.05805909895095,61.07950118740768,65.65401565478525,63.65782938065547,67.05276631276249,64.28076399139664,62.813415760058454,58.17666597357144,59.22498764890901,54.96630357970353,57.07221808123966,54.36138128226653,55.68472616312263,56.20816410422345,53.93305679542613,54.830237076207155,51.40458005642088,51.36906532395181,46.68281095256399,46.97747610928857,43.988395990145996,40.377172940954594,43.04261022446403,39.67809519652372,41.115435822603345,40.462603614224925,39.85597504825657,42.253157187272045,40.48844971705917,44.31448565973,42.67784837595855,48.21499813842079,48.77434900753656,45.88095350981069,43.956290441470735,39.513576406233035,38.426967246189314,37.42228253249464,35.80937456507949,36.02306801661803,36.92402854599768,37.367986169231756,41.67373284790692,37.43520531783868,40.94109170447398,41.19191279779919,44.96450402741563,40.28185595834173,38.77626719225209,33.51619935590705,34.84428379434319,34.46751026884021,38.58480493578562,38.77985452357721,42.919706065497735,45.21519846809456,43.704975052655584,47.076093124041854,48.17584780928466,45.06751725806457,45.98774925258726,45.131331755863364,44.23752156100816,44.85146570299615,46.41820485521863,49.88504462002277,50.57620808480972,52.46311192494437,52.336840030197514,50.32592333837377,49.32133732769644,50.187991130513915,47.19453380486457,45.09689730519414,49.00821907203647,44.638423070664466,49.017096617313975,45.713064123440276,41.86023874606024,41.3844967019115,39.94454159114237,36.61563276814876,35.99208691386858,37.669487224079006,39.46223029300307,44.129206227833436,46.997010769628055,49.980665575492985,52.05288505610617,52.7662086894622,56.98099467882885,54.8432982661726,54.50399205277004,50.824550746275044,47.75450190506743,48.88586611853904,49.492603464858746,47.46022390094288,51.56688513953527,52.39746949735861,54.36084162226963,50.555442737284075,50.43953000542277,48.555898335101816,47.3460534742032,44.23765611829156,41.81289149625776,41.44794724755326,39.73595342746319,36.318627150190146,37.54565061685486,34.395388593108144,36.91194578936226,36.89719256653782,38.71247791888125,35.99736436123937,32.50280008218277,35.36908622995954,34.713208128457005,28.764303668140908,30.542934643690103,35.31004289873081,31.08905135573857,28.462868279370095,31.142173707097285,32.679413776122516,28.25173318163221,27.32943145215337,25.31852661467899,29.40791253567667,24.036765350576232,27.896860133618045,31.06123895053389,33.59852360150971,35.78069118107715,37.628728696127055,41.00533144155807,40.925245433847905,44.338973454199675,44.42591530778461,46.14474261743858,42.68921028292711,38.89819197619071,42.30300937819355,42.094622443077526,37.26530402700862,37.62133001036806,40.96628982293951,36.95239216611122,33.13638154123434,36.17155772183136,34.39325601607422,40.42861979346248,42.45557414311454,42.46159127260702,46.49686713582871,48.59472800562924,48.46234155853004,44.76901772489031,44.38286061916447,47.51001400503096,44.32972393751987,40.8354666965916,43.6231179784095,43.26263256081229,38.89383683890228,40.92163133984458,42.67378763012031,39.4582947127936,37.376600023687665,39.82744789696663,37.47499199538091,40.350160312158366,40.6112246586124,41.63944439574874,38.50089374363339,34.807938427020545,37.50751256652342,35.66049966754473,32.474921017235125,32.409181306185005,35.11969128102072,30.89906456842419,27.825691194100475,30.849976888387204,31.93845535753692,27.605658086684393,24.98647823788808,22.260960636962984,20.110496311575606,16.829004004951056,19.61228638191176,18.985542540673773,23.46019952669369,24.673506981346048,20.04453209279422,21.004077517023777,19.51568443468939,22.81980032297798,26.777222750800608,28.73309142337162,32.91921986746881,32.88564101153697,32.84501763880728,38.373968906857904,39.45457276175571,42.13451082031839,37.505789759297414,35.777450060856,39.592539209163995,39.221043385089374,34.243256910983696,35.92068128261271,38.47739941348516,38.869672412248605,38.36510623201439,37.425087619999786],[28.587692929118234,26.448687427031995,26.02235713334049,24.28647259984914,26.282759787266247,31.278587533740726,33.438153901593786,37.73359228799463,38.68270502114897,39.51862520230592,42.96905647729899,45.5973504033768,43.74061010873904,42.451483338220164,47.562440957220176,48.22283528616938,45.14490624513762,48.881518912274856,48.973083049089716,50.96651135566625,53.18375765391171,55.49747846766848,55.72915960800001,53.215310667687625,51.04220872610127,48.44176193604223,46.79193257753515,44.7432359830456,47.565395461843245,48.50620935994991,53.27411101354913,52.590845286638555,56.82336603830123,59.798562809771155,56.47543986934005,53.75703936996544,52.309768110098894,50.71533452620675,48.477671090208005,52.06799514003024,48.13796514796103,51.556687340798995,55.37141628554775,53.73206710215974,52.91703117491635,49.904958886719754,53.23736164609161,55.65933978827355,51.55433244256185,52.68946136756453,57.23365134798708,56.75525970001545,60.40934565832843,56.08361346731819,61.29733112903587,63.83808654642002,60.31969612861057,61.18553253188019,65.82998979260552,64.51017058562793,61.73936117741634,64.53041212498107,63.969822293081045,64.55499170349258,61.26341400711757,58.41119037665857,56.33816458900611,54.721908860540545,52.09902812564464,51.517823133927045,50.19209499907926,52.68145093649835,55.12153632649313,57.177524280223366,57.25166316091779,63.12943474944126,60.86740942072189,64.43172830954877,62.342006170163465,61.76041673284069,59.688878335817776,57.22913018641049,55.51694007392396,53.91876617509212,50.38739355136892,51.78631702632907,54.37145915392671,56.704017525036676,56.803182628548534,61.448282874140304,59.55781309877747,63.058759190368896,60.35489022679412,58.90874225735533,54.305567864689635,55.51839217541339,51.29233594672689,53.2210955648334,50.52590144554251,51.931425670158816,52.1805287224566,49.89959551173435,50.60793859710062,47.20076745487769,47.01166893317658,42.40022485384053,42.76448928039387,39.71588004460635,36.18502439266238,38.89423296428358,35.56842925194456,36.85603896722171,36.3620595131044,35.61609608720973,38.13868161759235,36.34660872376049,40.185670451191044,38.564327082426985,44.208463393506584,44.76872759450786,41.98945966802922,40.07238987018782,35.60241678773989,34.4497887808274,33.4625847559206,31.565991642433463,31.92557043071438,32.609545972218605,33.04129414725472,37.27921437573193,33.033154082701174,36.59496656297456,36.729252093013365,40.51019526606615,35.763253537634995,34.28229370631968,29.00727806957175,30.366384684353935,30.094841028031716,34.20285652707512,34.55467748661103,38.6759940243245,40.944577376222455,39.364950484477944,42.69021578307891,43.84377273307653,40.76023418426944,41.73616906755708,40.88129275418269,40.17448968958633,40.842948620067304,42.645937494964635,46.13404841888182,47.15121810997191,48.88045028637539,48.52304100620249,46.39287498395711,45.277233030693246,46.038090121469835,42.922582453922175,40.687807656719144,44.60550513080818,40.185176045108086,44.527243014538435,41.18551474592785,37.37306110052541,36.85467958161854,35.488925068906795,32.11840761833094,31.466460109334825,33.11901248939501,34.93808760064528,39.594267806544444,42.48547125550458,45.50692409942739,47.634463619385585,48.42004980318187,52.59040303908351,50.36935211143672,50.02597911427266,46.29487850343427,43.29496872356414,44.37753484529347,44.976523079477126,42.91697640054928,47.01969587051325,47.87356271172586,49.84204914238486,46.11066171582824,45.95792951699847,44.115727040635406,42.8367929597095,39.757684631048434,37.330173985146516,37.021389333115245,35.42091460867669,31.94946454768207,33.329538552157665,30.298614869116484,32.82265691283288,33.117026658352806,34.957347817537105,32.092185189042574,28.788118518723085,31.95005375683557,31.247667072747543,25.19534821403069,27.36557879506361,32.338602002356204,28.040824060418988,25.65507299756682,28.683378135144544,30.11962391437133,25.7504322556626,25.31491966443143,22.990236297860818,27.523844638059344,21.868514868178945,25.36223079267512,28.8762208169929,31.429718264033752,34.15395038121451,35.66990368870438,38.64238293158816,38.19331489416593,41.45014368003267,41.17636402180353,42.95752000232343,39.74502426652224,35.611832840526134,38.827832262124886,38.82064021265661,33.99070978495302,34.01726280628821,37.27884197132216,33.545962713801586,29.613312628214903,32.184622717488416,30.543177470194042,36.4360518707559,38.651137544635546,38.868341322418196,42.82381005070033,45.19553481549348,44.791824773363786,41.031518035537026,41.03468429701946,44.160591729257376,40.78800041335931,37.515836213567525,40.56710713146151,40.20989335180724,35.86708493962002,38.175960801930145,40.08178564303293,36.89653836108075,34.95628756611182,37.56657974030544,35.05104189320936,37.73947880488567,37.618991391534074,38.767977504767245,35.998263084883725,31.917377738091478,34.43257752705296,32.95946644511453,29.767464803796575,29.17544062709299,32.23792560350355,28.379453002705567,24.799398090808477,27.5369576871308,29.153622586614965,25.09893655657145,22.083831043423945,19.06951549953912,17.50540409013974,14.031468230348143,17.428052457313562,16.077125272825,20.329040068950764,21.470501956394195,16.710388241849177,17.281298158578483,15.706336777842154,18.795095778631968,22.97473442751111,24.6452292760114,28.76654686636003,28.689240070012,28.990113978843926,34.53974067049115,35.86327505986497,38.48988212425628,33.78706810186445,32.40432635779536,36.37065948172524,35.74443184130121,31.02235643426635,33.037633555977614,35.83008102870856,36.3383745007403,35.941431405390766,35.229770709190774],[23.52969761332613,21.92273232078316,22.545859072525563,20.724072911077794,24.04251681066914,27.906759973564085,30.47848434637456,34.70365035438022,35.23878516702406,36.54061960304471,39.759749567655945,42.33475455085793,41.20908347881612,39.670402451619395,44.85134658967203,45.83435911664219,43.21145473609156,47.18769004938401,47.77692763652905,50.064659817386236,52.55079575109081,55.30289551280718,55.64752099413021,53.446328356939595,51.145528188936915,48.08236590494878,46.34585891701229,43.78673640488165,46.19339082261293,46.77775814939053,51.09390921467423,50.420307938720136,54.41779976074364,57.71931718601698,54.72297943717777,52.28242129507432,50.89476605822569,49.932062174680524,48.10912852328489,52.27183103336764,48.45945728020594,51.451414852003104,55.5190861880723,54.3241471017882,53.83506531978122,51.14962716981896,54.7745763747807,56.79598288088619,52.530806594879124,54.301327441026196,58.54550455729747,57.87287088599742,61.32204488003381,56.683384097289455,61.573493916388436,64.37518767026215,60.73343163718307,61.07616709936675,65.86830239810828,64.93996847790972,61.73332315022318,64.06204713777177,63.08346510600944,63.906551206158284,60.89950677158981,57.7742073105618,55.33602049439117,53.30490727962531,50.52151806953047,49.40879638095914,48.11614208089708,50.417949825807185,52.91006637696606,55.460054706958644,55.40549088309795,61.44619014923945,59.58580130661473,62.95208526227589,61.19077849275635,61.030946747765405,58.93155576183135,56.95570822719506,54.90547185867237,53.855026722788594,50.40781836999637,51.226788370722204,53.78469016786325,55.63778720021966,55.672101600443,59.85649395832949,57.757346287968645,61.02361573937734,58.024035553048506,56.354936429145376,51.65384838580275,52.47523744949183,48.17648217610027,50.35359753568108,47.56959759837914,48.74427072115287,49.73453064810004,47.57434155167932,48.87130386489114,45.585674237184726,46.26726190995047,41.37520700252375,42.0001673289626,39.44232247140777,35.47275919038945,37.60665570793498,33.90745657628822,35.439453821287024,34.25942976426938,34.076678455094196,36.279244037147166,34.903649576609276,38.864394977357364,37.70667206868482,43.22761440563601,43.21329132266203,40.22040293941019,37.98142863310065,33.805324110867794,32.440342594701924,31.089891258120975,30.11100617892211,29.914451635392886,31.4923174084222,32.314518698590845,36.95962404779638,33.34864870327588,37.18870989448399,37.77900308231609,40.945384417625824,36.3899488373971,34.26148687356217,29.30826495503735,30.415593155504826,29.908512809984593,33.974415639598156,34.63784296228264,39.15751587530629,40.83764914648396,39.06727195681508,42.49993518445242,42.99947523334865,39.75542046639801,40.24946738202009,39.30110942640564,37.9055906661729,38.490855554057056,39.58273572132134,43.14070147391007,43.399949863409915,45.34321543234771,45.54237536574969,43.697455460353396,42.98471671462927,44.030983914420936,41.4841576182307,39.90336434504957,43.83583683815149,40.005991679413135,44.55250674111638,41.9748904143709,38.42170010839894,38.35604653842654,37.63714482874455,34.18003412851467,32.829007584779994,34.234261460046035,35.40847689974791,40.00188939194105,42.51983903327413,45.1451131903681,46.91032993984054,47.22416182309091,51.659553509499275,49.980369940618075,49.790920148841536,46.60678637571673,43.08905909206762,45.02578037356643,46.14121814693695,43.964020096354616,48.08787046939814,48.571096606450595,51.169794089856694,47.75434221301848,47.85727469581408,46.44345296172972,44.61806408318287,41.82765311099651,39.19968576188398,38.86254249091969,37.40554076819266,33.37115661524701,34.4481949218599,30.9782015530722,32.65603351974274,32.95017650655834,33.971547864666846,30.9838483749085,28.05773903456281,30.813409404055932,29.298152940624053,23.492292647262495,25.776829513156144,30.020002748489198,25.072239977265042,22.7993843513489,25.6624790351211,26.41132621835517,21.74355041953945,21.614499282908902,20.041379550741233,24.677562091808753,20.728759187029233,24.086097084286223,27.36649750552294,30.911916771864615,33.33814940496196,35.5278994561424,38.247879489547046,38.13172110487875,41.57168505153436,41.14743362535142,43.623914591558325,40.55917949615303,36.04885736488212,39.56304415332662,40.33506567493833,35.43207734621416,35.248468476792034,38.9448630397622,35.88518636393062,31.675222420704955,34.04586747165041,31.464875505410294,36.97193799293483,39.21135891251523,38.68179669224593,42.45954436716011,44.350239455939644,43.797192778247464,40.118037023892526,39.78641908573905,42.42316516994573,38.93110859142794,35.632982867294274,38.11643287856986,37.339589163786364,33.073228199679285,35.60475274759305,36.95726500909394,33.28125640247152,31.84901505294255,34.745623628998864,32.732740197278034,35.93227768527677,36.15737967182955,37.90861963461003,34.796052029406695,30.582513654604327,33.928109174111455,32.71904709081318,29.221602262030263,29.184985914119462,32.9638664354954,29.12094957322587,25.28707207826454,28.801570585446765,30.905722208709314,26.865666795890228,23.626979823638667,19.76016416886287,19.472227041864915,15.186468497067308,17.13907150839393,14.645459179384847,18.76338101115624,18.674206242236142,14.227918114971075,16.116501591972153,16.015573381015148,19.401711064614734,23.001654219996293,23.92952954014089,28.398940563823754,27.57502241034587,26.983141128407617,32.57334922513529,33.62277991331287,35.83005626127159,31.15228178371272,29.388731722258242,32.93435250471422,32.3228882977148,27.217093802696795,29.08891177986447,31.47866056540735,31.988570271663747,31.729810276995583,30.880351889247855],[25.165714007332546,23.03953047833231,22.866574562845045,19.995913558608642,22.46470930876924,26.973508660045514,28.88035480831191,33.32733625436678,33.728332388141865,34.34006455967619,37.66061715593882,40.54213662466006,38.731631009063136,37.0512390476336,42.20929715934565,43.11075872327408,40.04578988815037,43.7506794450111,43.85165748318668,46.15760721770737,48.37143312211569,51.008115752470644,51.156174304300116,48.76501228511378,46.65009467013893,43.73772602586229,42.230642163479374,39.97401481858192,42.739306708036786,43.76184547653038,48.12570268829904,47.7953348940239,51.92095127897391,54.88599678656606,51.752752793501934,48.99534906895589,47.857961318490275,46.32287934243563,44.30921165609727,48.41578863770681,44.25748198728472,47.280531870736745,51.3206876128919,49.89561587913236,49.15504982053604,46.44533973829424,49.968997630699384,52.194213373797396,48.17058248948792,49.807488888047516,54.19984090019085,53.77071215524009,57.21485565001133,52.65510063872896,57.774695248978425,60.29195290604462,56.524214301489415,57.168482511190234,61.89547178084026,60.64457386557072,57.516345859108206,60.018190309248716,59.24803594204937,59.782301639558035,56.675312943474495,53.77810074105859,51.32195449191044,49.61202129326666,46.74715430840811,46.02599471689712,44.590178956798496,46.93299268709894,49.515279981396525,51.739900179161815,51.95161689470004,57.90858896599542,55.946038109602355,59.53653176454653,57.69567851615964,57.36643967429408,55.52745052372254,53.39584021897222,51.771851461441216,50.53378130575257,46.86056932260084,47.85118686317869,50.15774827388068,52.41890460140678,52.16676571678582,56.68642771945265,54.52883703870189,57.827887917462235,55.06021007380317,53.67726460607008,49.056117580322514,50.09764316007214,45.85700663487776,48.16222910126013,45.61643076499897,47.332988834075074,47.67872815820464,45.893245774287514,46.58092774860104,43.64251417559661,43.98444924233163,39.3583709728641,40.34757825004436,37.59167659505864,33.89783884760978,36.0888579024329,32.36666774848744,33.18323977105345,32.104033762794714,31.24256293596136,33.26835504419911,31.410942469930777,35.19524622351277,33.60420254156803,39.07901792616505,39.535748506554434,36.57657931846893,34.66189690966696,30.221877602340594,29.237445997320453,28.443495574265825,27.166570348464344,27.971079557471825,29.063908050954257,30.130536675871625,34.56192003635951,30.94699915418537,34.96510483679341,34.933885450581684,38.27615135346613,33.278131287047586,31.114173181479046,26.170030726376744,26.719151127972548,25.887491498640564,30.001173526806145,30.105424496930773,34.473232561144265,36.48942445810908,34.997988971997714,38.48703463628484,39.401291965393085,36.26925564281392,37.2550905533913,36.68668527688329,35.75422718259428,36.863094793013275,38.31546432072692,42.19421900240397,42.97751147620295,44.3939200598765,44.203367199401434,41.91182605428976,41.230565176456246,41.717981767876815,39.17070972091268,36.9260080144094,40.54701702714168,36.269866358298145,40.82878627375304,37.99101118158491,34.11293973615124,34.291861257179576,33.239444535719784,30.061279830560178,28.662502379359623,30.43646905039587,31.605765307828367,36.41794246751197,39.2070041001891,41.996049825819625,44.1489735093147,44.42933319336915,48.970451517694244,46.86533409751991,46.872669740461866,43.29189185273612,40.32825418037369,41.9982112298773,42.87116722561436,40.46368829343478,44.24672498851063,44.586980506286814,47.021216372426785,43.233742395807866,43.596347425080744,42.220067030546815,40.64994605530936,38.07506567937411,35.732237412247194,35.767315419541696,34.70091374212594,30.808886686258315,32.49554736528,29.525645385318473,31.37667221050218,32.4216202589859,33.6024653641232,30.258702192502668,27.795449171248418,31.17370125838076,29.602887456309247,23.616668430207202,26.669818327947276,31.268634105991968,26.173782349230137,24.395562865189955,27.78349499501205,28.289098022523156,23.71827563421396,24.413541666455377,22.440836509447966,27.57357277734541,23.066559398272414,25.941638704166618,29.665774434970086,32.94044432366365,35.99812137183467,37.619599060436826,39.94141099084657,39.262463672398475,42.40475658064508,41.49355979487365,43.81704379676984,41.07965583616378,36.23090080549572,39.29930347341669,40.0780156534918,35.25611071719003,34.610276220017276,37.918452341576774,35.05899509532862,30.859805450295518,32.37246485222301,30.508583456148372,35.764356526972975,38.39330103693884,38.489705988529074,42.129823809640435,44.61902734296589,43.56763929079654,39.75294937807574,40.23326286367814,42.89685717982338,39.03160365053797,36.20262781250206,39.160860629699286,38.36604814911498,34.182011258533116,37.18760494136776,38.76452554184098,35.11143099734549,33.95906026124212,37.05149236008234,34.79518421607144,37.64774300434635,37.25453681397325,39.06397790056205,36.557603803392205,31.864113994635037,34.72864363546005,33.99415218891132,30.610658814478793,29.654916754240432,33.67416608308235,30.33879540744781,25.989304369395114,28.73226755001447,31.34125359106069,27.703963115626813,24.14041370660965,20.273960428663646,20.2857202066161,16.24456144038858,19.30360425584806,16.177620789037146,19.838872938998943,19.53787211367258,14.869648929418153,15.946678315166904,15.582494867976417,18.31496618757181,22.488875827355127,22.703952170374258,26.965471034618037,25.833353608771105,26.24603971348105,31.930521840425634,33.59046302458653,35.52767934096045,30.601817433514363,29.710212295030868,33.45860621406751,32.05950687731791,27.508331393219244,30.217288184200235,32.90245448744851,33.629254668043025,33.5811689929901,33.04109021457258],[24.963278630250436,23.534224796491504,24.46737449386216,20.860242505116993,24.485672144589508,27.66158411549384,29.53863044402438,33.97683290772805,33.4860208039456,34.069688937199324,37.0002133690009,40.16721781687794,38.831391470534605,36.46342042529576,41.6428789473235,43.042164377578736,40.180740032155825,43.80202035706984,43.90188106550712,46.75224470184209,48.86940354163727,51.97648218207027,51.90225126319084,49.63823357953117,47.76533542995641,44.45110233069313,43.27908249917937,40.758010446151836,43.36139143490298,44.421838124890364,47.99363831438662,48.18953259239762,52.033448712889324,55.066399412102264,52.325582204133276,49.60580659756834,48.92289693576308,47.58643789044444,45.93320954584125,50.64884509525281,46.22982705435876,48.6639289423915,52.96069930929655,51.782236708961875,51.04119957162437,48.72665301013924,52.36441190352106,54.44426123560405,50.64757108480904,52.76242526708631,56.99380773039552,56.6659182066894,59.850550372421196,55.08799330807165,60.05433909251195,62.49352638640748,58.43734237783719,58.82352148536359,63.60474652682269,62.39689824837282,58.83105850882712,60.905889617808555,59.831390043092235,60.22304887227952,57.433357107871394,54.5480418355215,51.44056004936236,49.61983353996805,46.28260167834656,45.27440747968192,43.58360205789602,45.47811799567426,48.437466452904914,51.013534108677554,51.54842212930612,57.605189934971555,56.22851966341164,59.81876855048318,58.41703871660596,58.48883119472658,56.9857900965159,55.33324766350158,53.78366612896526,53.02899161202322,49.26249383822684,49.707754106227966,51.62564391081593,53.709381398044734,52.96644993760807,57.18719682435512,54.59947997846084,57.47717132068412,54.56098542819165,53.230866355651145,48.5943335150832,49.173264101137434,44.920432066259885,47.89867743758281,45.53469911655868,47.45300576152294,48.31138361915025,47.10386793959126,48.03491358948123,45.614828500947446,46.71906116141965,42.05179187548279,43.54654503825729,41.20735770527922,37.313949027058904,38.891194011624506,34.80718902294844,35.34527392143037,33.44578620622496,32.70653430628566,33.93216671456588,32.11448536844488,35.703727194942644,34.17348321273435,39.14716034495283,39.46822164103329,36.1873367495401,34.30734297527078,30.085551855553838,29.436014355141126,28.85705801742495,28.76356740099937,29.77062282024644,31.567884783406043,33.23900897557479,37.83815783008971,34.914944457910124,39.192100295489546,39.169392529565485,42.02732901011674,36.9838139091989,34.19297745288475,29.751994991538474,29.480946231900447,27.973233286947345,31.927839408049767,31.538449001413735,36.05870910577019,37.776278811116256,36.51959450849394,40.162383394366465,40.713927437367566,37.5670012373773,38.44897432606118,38.19731482943237,36.75783980012332,38.23168134901923,38.91360269013497,43.11890956356025,43.14245350438589,44.425033994758216,44.77164820675767,42.51922505432991,42.491053949772905,42.83242141027045,41.1221953494325,39.121976699930755,42.34581517785959,38.397308803022725,43.131128409333506,40.9264397011022,37.025726557642976,37.933929098320974,37.10859334680435,34.23415410793703,32.22791186330838,34.08746642503516,34.55964502410928,39.4094050925153,41.99829093091648,44.43933699763856,46.49840695748952,46.13960628689875,51.06670205370341,49.235355789832624,49.60845083837803,46.31326994230301,43.3319758413846,45.62515092521226,46.7670998498023,44.09804098750286,47.51410433290372,47.29922572824624,50.16910056772377,46.28670177764761,47.20485039184613,46.24406441014182,44.50590643440853,42.402618924369904,40.17322347736661,40.44261174246426,39.718416424017484,35.58278412029163,37.30916556438746,34.2750062177738,35.493783611517166,36.78821839285572,37.31609053182886,33.78988086596222,31.881543414294562,35.01622839028638,32.727459726645705,27.09249588521036,30.34410565354075,34.25290366462818,28.596647293831964,27.11971445595989,30.32054061793159,30.025861112077536,25.285309819229575,26.439587722207964,25.24965336996669,30.298712381283703,27.183063343499754,29.94740618377561,33.419266715023234,37.3113332961983,40.05359071081178,42.15358154429029,44.34694054343987,43.89162666470749,47.11291353051131,46.051089284318685,48.798252087102995,46.20001195670782,41.12692267977332,44.286062617195114,45.52377495992323,40.70503947374199,39.87669280572429,43.32786667796703,40.87443823766484,36.57724325638535,37.77117137878033,35.560719804946395,40.39410948380562,43.13458328756204,42.847883656266724,46.26730405063449,48.49928226981552,47.17786325466956,43.43527802943388,43.862064719640436,46.0505037471923,41.9937272690929,39.34093375276848,41.82237557347562,40.588233768884926,36.589945916761714,39.88171424140388,40.90647028027626,36.773507799134435,36.25793563935559,39.59619721376997,37.82271926008799,41.04562916332015,40.87320069723863,43.14494381067944,40.446869841816095,35.69049175825399,39.08183210552853,38.56161559203106,35.02456428988117,34.388240884557476,38.805139394588025,35.485528083465475,31.067853109206826,34.15417166824452,36.9816450870671,33.33174368558879,29.73350077626418,25.544408997422394,25.99942323105793,21.694647339963996,23.95357770783932,20.383282935304337,23.772946788945628,22.34647523625252,18.20980451466584,20.14459148793421,20.730895424932623,23.421289337541044,27.21677734534658,26.60891885908907,30.94587391372641,28.957031413811638,28.957183582107966,34.577127739107105,36.19134163225556,37.462825132871494,32.53720048104776,31.66845097740912,34.88513076860964,33.069669619676425,28.44621332620106,31.324822131132976,33.47934929150796,34.23604844359337,34.39338810602532,33.739417932717735],[28.828219199170512,27.430705355591556,28.29662478587863,24.62214640419795,28.006391852623892,31.349317311018012,33.04195603037783,37.52241408914509,36.90876361832867,37.218866191256275,40.10217988013379,43.43020828992126,41.879318720452865,39.33064523101837,44.46812875306063,45.91440404099017,42.848366087979436,46.253226413531635,45.97330697767848,48.93135844493243,50.78175230053206,53.842581513609844,53.532788384500705,51.084408342100005,49.471011161261835,46.26748672090947,45.367270348525864,43.074360270008775,45.899382486549435,47.23124275648592,50.690918645918615,51.16033887245342,55.01315318400562,57.870264397412605,55.1175095934678,52.22181323712675,51.73945057526656,50.06445628153875,48.30354210808899,52.95518249289917,48.28100607178859,50.70583141428827,54.974032625458456,53.59173256041608,52.58422228739441,50.24219493192416,53.72883100832965,56.05356354269347,52.50516836874975,54.41761432777927,58.805553479056556,58.68529413937307,61.888109528614564,57.229450245655094,62.364210936552304,64.57003530867678,60.42559286860945,61.05804996783738,65.77071230038314,64.28453359485624,60.78183303442745,62.95591924278147,62.013382025058014,62.13031800650143,59.31333831890176,56.64501758756142,53.41046728938029,51.84266990435515,48.33391991256674,47.55813417417718,45.68259268710963,47.43212903494393,50.59295041639508,53.00649435206633,53.8449176532801,59.84217303852968,58.5213803191824,62.26148375033248,60.87693327920562,60.872842553625716,59.57598152871821,57.83727368620227,56.554818194028854,55.672651988332326,51.78546079233942,52.351919271964995,54.08654412859127,56.41723679816347,55.44835642966327,59.833530732913715,57.146419472312445,59.94599434146061,57.153816597777904,56.00796737598001,51.43068369834189,52.01425146839742,47.80918719956974,50.977560292505814,48.755370012332314,50.89290598961112,51.56570235356653,50.53247826863754,51.23816662311324,48.953879900802775,49.87157978836431,45.31932287868506,46.8531584265849,44.378005806283824,40.61269360442072,42.305424976853935,38.266966556971724,38.594873988482796,36.759030071151464,35.73518057162923,36.80877419423855,34.716418457694786,38.124268411331244,36.26582344094492,41.04823969783681,41.74240531305491,38.43476693072494,36.818909272117985,32.49677591610871,32.177497687794585,31.937725619074282,31.772711558633326,33.17315785540465,34.74545555204763,36.422185416549034,40.89750122945333,37.83248524052197,42.08143721339699,41.7996521089587,44.859962070979385,39.638930661569674,36.964526416860785,32.47388050591868,32.010956063804855,30.328354547569614,34.276536525510544,33.36507863883819,37.68578013099757,39.71399940212002,38.73527757914788,42.40205500421394,43.238969974017834,40.18646567105783,41.3472065094663,41.29756710248657,40.04554824832544,41.70652693180404,42.46799538390547,46.759193674806774,46.85445614945012,48.001403843270154,48.28350011317447,45.89471843538475,45.90965860476172,46.03251541173423,44.334743652569585,42.03307284542972,45.07612657891305,40.86233946690259,45.568654154991954,43.1301307255832,38.99422946369674,39.968008717972225,38.77391229443736,36.09816021431955,34.25875797651487,36.36180665625336,36.94974594958492,41.903117823995395,44.66726311952261,47.21933878077775,49.476479055807815,49.121608391150005,54.07626208090477,52.019196580967275,52.46564661051899,48.93147797037072,46.25736476223331,48.29852279218607,49.23179612565434,46.501352276418814,49.737546565914656,49.491958827138255,52.14801174050538,47.94429425427118,48.994891939337194,47.93951251928534,46.503055044708994,44.424823977256054,42.372526130668554,42.76917297944523,42.08799396531581,38.1551914451553,40.07441400633812,37.204280334482014,38.68690862831491,40.00952331793238,40.76073943702254,37.2359656969575,35.21599337455406,38.45517549855177,36.35045247966667,30.610234186815607,33.80170906061923,37.88937938889146,32.336020528327246,30.75156050048439,33.93221573284032,33.80678402739162,29.05684050190686,29.988976112852534,28.707487186853808,33.667181308986045,30.14361605680408,33.131505107605136,36.61125733842382,40.281704227096924,42.95088403324958,45.00271244654302,47.41595707030758,46.96282489401567,50.19046753603174,49.236824804918065,51.77213949063777,49.063333909360864,44.1425344965868,47.2520896916776,48.20109017798023,43.37836775254919,42.65884202648271,45.973877001112825,43.22631910836312,39.02200729517624,40.302811790501124,38.430891376706136,43.41268463596056,46.169673234346334,46.10287085323588,49.59218882340851,51.94462382596379,50.667913971704685,46.89115630079252,47.3815061462031,49.69175012078723,45.6523336164491,42.97841811180995,45.553495315016704,44.387200347127184,40.35365580995987,43.5656638090213,44.66570404416552,40.58383172974239,39.93881056616325,43.198467059256174,41.348568323181325,44.53227911812634,44.36587561761509,46.470828912782366,43.74435907389374,39.079587743365906,42.321115210132625,41.62724700497374,38.13771554001185,37.46013873500446,41.623721810487496,38.163400855078656,33.895934801565105,36.834053800795296,39.41041659208546,35.63829939436851,32.16385293227467,28.235279229976083,28.125154639626743,24.002524863588388,26.57865057795914,23.45743983474447,27.081564417327733,25.98714442460783,21.67754356633447,23.389715392411407,23.550186728720533,26.24917177373811,30.27773026037669,29.881246336086118,34.15296868051347,32.28655638130573,32.559127761069774,38.20125003044894,39.89520240896825,41.21028161526123,36.253346952650965,35.473431313835775,38.74349598049959,36.866741318598145,32.309587293553626,35.2066845864885,37.358702378025356,38.07459478354379,38.17071621784876,37.438787761121],[31.56072455404692,29.828173287014998,30.120770212134843,25.908628284061194,28.535406056495823,32.26762035432767,33.391194672968915,37.947557059440626,37.2228998672207,36.91216766746547,39.81256901005251,43.376448345651895,41.24051493964116,38.56105958181654,43.59132089900818,44.966132909871185,41.51521009530336,44.577508432213016,43.75784824669036,46.746111122233344,48.2530667377201,51.18130101058791,50.62092036716824,47.96477744592733,46.625936077135385,43.6125549065686,43.026519747432346,41.09222634637819,44.249588017308554,46.01115509692814,49.43323800363085,50.258203113809884,54.18164210136074,56.68860918587516,53.84228984880191,50.661713642257624,50.45254688402816,48.224935951769886,46.29995551315469,50.841265742282516,45.843644635693295,48.24834178307687,52.4480390700292,50.821774875205186,49.517560258034685,47.178881326486376,50.49640483149733,53.05598794736532,49.83217766944096,51.55992656709927,56.07777539520335,56.22785775945365,59.40166371740679,54.879837745861984,60.21023641114751,62.08983144062876,57.84015097760563,58.79411372679382,63.398903970365865,61.564886861350566,58.16772206582121,60.50132111150109,59.78040981316488,59.564853191261726,56.67373161658136,54.288476885187876,51.015004701836574,49.81715880756765,46.20939165305239,45.852264657371435,43.80904124823221,45.52796120169591,48.80667671349223,50.86832187065912,52.028275487534046,57.89097245952327,56.510619693732835,60.45864027721679,59.02208040841697,58.85503016000133,57.84700469883282,55.973691178221955,55.12848190238125,54.07188816913721,50.008675738808016,50.736958818647786,52.18608954059754,54.902382482639496,53.63604109628826,58.31241558673784,55.56916675210236,58.353639471099356,55.812977353689476,54.966788303890084,50.51375387345239,51.27867945298107,47.17801714217787,50.46316967888188,48.492524267410815,51.084470870051014,51.19100359392855,50.49923987085164,50.66279688230728,48.70750371007364,49.301502105841195,45.04703062110626,46.83352531033631,44.21586199591005,40.750623982451515,42.48610991834947,38.5216984616762,38.260945476044945,36.55197591446486,34.94620449785511,35.78713801717567,33.25556013603593,36.37272503841595,34.06191120138945,38.63649341760309,39.85839413442729,36.61329646325672,35.39631872048402,30.910719707739723,31.050650759178968,31.387528729252022,31.006838500487156,33.243316469425515,34.3615287010703,36.1846689468157,40.36767681723571,37.339631394857776,41.61651974259772,40.80752492782775,43.99054952104374,38.48778288197391,35.86867844414104,31.526715906021337,30.53855156874159,28.540972685032177,32.394546937021325,30.795487130456067,34.823937728500084,37.21022012587355,36.600355141593504,40.261962263959745,41.51766703983717,38.64122787986577,40.266735531112495,40.5851266780932,39.765654188563865,41.84431573700014,42.89407197239785,47.38240743967066,47.898807068266535,48.61358765684456,48.56882479594071,45.83199994187017,45.87498999095851,45.50690344408472,43.83874822068423,40.97674899225785,43.65592871951296,39.074745365335744,43.70577968303635,41.03882420251485,36.634904343340565,37.85114826683103,36.2954810102887,34.01056251851753,32.20794253671742,34.634395099818214,35.20696029014115,40.2580018858989,43.23657060547245,45.904327436983465,48.49199709335306,48.113437054952804,53.099763507466044,50.66551190664952,51.28740160099244,47.41971232722116,45.31157052258821,47.04813965508957,47.72030158722696,44.82835532950791,47.67440552617925,47.290460700920804,49.718939577921844,45.147030091954534,46.467836867672055,45.443536134124386,44.331968354715784,42.490714418170256,40.765589749328605,41.486361756813835,41.13375910862095,37.45400295585785,39.816805684781514,37.40172306963449,39.03853545327287,40.84185831513163,41.75397246996443,38.05863759839361,36.340357560235866,39.94879592489966,37.90624525426862,32.12749130220481,35.69690558252705,40.02346573109634,34.49617930516715,33.179899961382326,36.64233514561435,36.46528634750433,31.82581207527412,33.130996851639466,31.557044713024652,36.76224265361875,32.76623209252719,35.51704600802878,39.24709248234288,42.65994845247904,45.70797084935707,47.366511071557206,49.5711216999826,48.7499361812049,51.75983103210147,50.52128131098816,52.8694523939077,50.37160859019519,45.31960496421252,48.084552810944025,48.94661698839874,44.23742188691747,43.25270673043562,46.21626827090723,43.571308872452455,39.474047038505155,40.17362204322291,38.91469809365623,43.67640335317125,46.66199711773124,47.08202774044853,50.461935361697016,53.236755371795816,51.649823804505814,47.81032101307018,48.85945724674334,51.21459445633809,46.970910020721426,44.62471078252751,47.53059569268316,46.39851994718148,42.43447670646613,45.892548855065435,47.17952300671101,43.176413826430824,42.640065674785745,45.97509727689036,43.93406766139411,46.85591627693999,46.28719700624786,48.356941309830326,46.03455748962417,41.127905608501734,43.983897665431364,43.54658506447337,40.17283783492152,38.9232908424095,43.11478863758451,39.97190819406055,35.48628773010318,37.86585392996963,40.65303749602837,37.153099415278554,33.57425133747919,29.797315338579484,29.723762902899182,25.87313360934211,29.044726519123564,25.769383479957405,29.14956592294047,28.08637287140251,23.728399168907593,24.88908459247298,24.79731997242846,27.01146179194614,31.291962849009142,30.522939806026983,34.512576123435586,32.517736085722476,33.527666756861436,39.12009444430899,41.216112478366355,42.36105225549772,37.3084489129687,37.1379792998428,40.52859574266784,38.15073437263393,34.06457449128101,37.45029714652953,39.79406021985842,40.620232587290054,40.803557608137965,40.249988477778395],[32.86260389321931,31.46571599489553,32.19438071804727,27.595253022292784,30.601527166672795,33.59367408442446,34.537413678815696,39.0158549957317,37.721281475016355,37.23020373115159,39.818886357252396,43.57900629455506,41.633694089548186,38.504849772232554,43.43308943080274,45.10865883977659,41.74759898570738,44.617140749041695,43.668350203384584,47.00828989032518,48.345513571160495,51.54296176671273,50.772536360449095,48.19046288923788,47.102898891035395,43.88885041855484,43.618501526108986,41.61402252833576,44.69363301111186,46.56209722011672,49.39359500810783,50.66013610081337,54.37130364224519,56.81147524191302,54.23566756858638,51.04214896164462,51.207499099115,49.010122463244095,47.314360702926294,52.192660088616634,47.00857301068641,48.97839881935004,53.295657265187096,51.807340589012334,50.4580828574345,48.42133490561862,51.751554938860785,54.22638814501614,51.249065169576404,53.253593709298414,57.644072741971414,57.912373988599164,60.8815720204046,56.283946633954336,61.506997458577594,63.253907789479875,58.81604063889532,59.65324921296255,64.23705141889808,62.37083773052411,58.71752033782374,60.770660464778885,59.89517876273542,59.499234264436446,56.838937867658736,54.55078446881653,50.8390672439667,49.67040232311848,45.74100707092295,45.297445201443466,43.04844969899182,44.402477196439946,47.955649583117264,50.14989941206739,51.61905178589732,57.46328012869612,56.49474238355568,60.46300715129665,59.33083133196608,59.40341613529203,58.69914511847059,57.133946942833774,56.438918578745934,55.672724236271385,51.5464367304224,51.94175074271902,53.054733169474005,55.71409103810453,54.05544023702783,58.55588691639427,55.52349385289739,57.983341297715654,55.42837054823268,54.70873834646215,50.32574799038068,50.81080929870129,46.78264592443731,50.52102678302838,48.76229623394795,51.57894004084326,51.87449258946065,51.64523777169628,51.83627496168624,50.302175289010684,51.29975579916096,47.11368006973495,49.241813477047096,46.865492862645056,43.36004125227626,44.730296968587105,40.608114848810864,40.06901635991204,37.91863915661947,36.29067130882753,36.555124331082766,34.00073730443388,36.847606549254884,34.51986154872303,38.5927220248307,39.83435138584921,36.44047909154271,35.385148864946814,31.120727641201107,31.603039339142978,32.21428929385555,32.520715317643024,34.99911358212589,36.4193503576625,38.59301057836594,42.77986626051718,40.19337908437831,44.59584182249139,43.71984370093831,46.60198564440238,41.076565342268815,38.12165702237609,34.16317977423505,32.63929130425135,30.230718253894132,33.864278661293994,31.849321018271784,35.824154353052286,38.027330932007196,37.66547017711749,41.36392896068237,42.44844188747977,39.647405311141114,41.28343644082701,41.880117908858,40.853664913876564,43.22496831516019,43.853670386844925,48.53866471010138,48.6820538807074,49.189208346242225,49.40390840090423,46.63654958193763,47.09988430380499,46.52829763882517,45.41454038495191,42.62429310586398,44.9412040118042,40.56359611831849,45.228919168954604,42.9677873349637,38.57504181967355,40.27574686643773,38.84834199009185,36.832265815522256,34.68319597774978,37.1612833218609,37.29061267039431,42.30671444993824,45.16083892126708,47.60006939220549,50.169653689290804,49.37917005518282,54.57726750364452,52.26147495632428,53.14932863253554,49.43455419765616,47.43750725533166,49.49620904819018,50.29145012663075,47.23127348091122,49.75042495779993,48.97954187118673,51.634359623073486,46.988558337002345,48.70869629100053,47.977633593232525,46.80836900387518,45.322843479340484,43.72576263489754,44.62733631084833,44.53046857842273,40.75242306121523,43.18465883990213,40.803066459171475,42.09705976786577,44.116967874108745,44.68426088953816,40.8743674015683,39.52186767474806,43.05333937361818,40.63840512545368,35.07525808349589,38.801774375682555,42.78740775799519,37.005717900268806,35.91460325681301,39.3154541081281,38.70291885067374,34.06334968307693,35.67425986699027,34.44142825198291,39.627926926144795,36.26792519528039,38.90100518337793,42.54936405215506,46.25284164111655,49.22137563024896,51.06405917203876,53.13793256976858,52.36337141282242,55.3752868419979,53.984192031163225,56.55531794705774,54.18395553234515,48.96265906681903,51.71835129033411,52.849406336797415,48.15524738496653,47.01175818423862,50.00745105048609,47.63514558796299,43.483435142274296,43.90892570205437,42.52929274795853,47.00268284672631,50.08755028574336,50.36843287037639,53.59038059011345,56.29254339555387,54.48340489616705,50.685974698316095,51.814684328165775,53.89373607858479,49.511488729375074,47.34754731958969,50.03950344033645,48.66824486921575,44.85254444740883,48.50876120758779,49.517585790731815,45.28966043901504,45.140558948891,48.61435940310503,46.80847728312723,49.87043403879201,49.33852689295626,51.66612251448905,49.32548960566476,44.33382516298266,47.404876665181085,47.147104278531046,43.7064547444697,42.51998766225048,46.95824207039477,43.88608805139257,39.29722234511173,41.7828591690589,44.75644919360122,41.29530043903624,37.64741519198617,33.68399710292019,33.892728328373124,29.90249337390377,32.793095265742934,29.241156385461373,32.439086295342285,30.846652912111537,26.772333741027325,28.225374743403865,28.548589229593297,30.693717096983217,34.809271928033745,33.56305647519202,37.52193501811077,35.0583440730049,35.96119329545073,41.45121474206279,43.58666093048782,44.30284169575923,39.28622359706926,39.2621787264202,42.34364824351237,39.64059780262677,35.6934888974654,39.234207890568555,41.292435189381635,42.1511851642023,42.47208541303038,41.90997375018912],[37.408634377520876,35.927745771392004,36.42573251500019,31.57718104490771,34.14099902969764,37.21990596736845,37.75076005368837,42.19945093092167,40.701191583823515,39.71016583381635,42.1676820355267,46.123325306252354,43.80633844928343,40.46821163502816,45.192147207044364,46.89358672102598,43.272831669663795,45.71471833829254,44.194612037340065,47.651971920170496,48.54959885094014,51.663576668351304,50.54273921120041,47.7718942575216,47.10756169064387,44.08037804294645,44.25928474809887,42.62625081661872,45.95551253694263,48.225362926776505,50.789882234306056,52.50743075791838,56.17207553496091,58.26344545480309,55.71809045993882,52.29035971962115,52.819532417657825,50.1412702004701,48.369184643527156,53.16327202755504,47.66144581041716,49.46744589006512,53.696835016468945,51.99347147818162,50.30485764915373,48.37091561920546,51.45930903058043,54.17223253142258,51.64734462409201,53.47201479767809,57.94369820133662,58.53248433076989,61.407331895489335,56.9814891503283,62.33454243915673,63.696288654829935,59.134093861305836,60.27476393397707,64.70380795701114,62.466598683859154,58.88354261090331,60.99840120309307,60.30676156383121,59.494339614896255,56.86196213917859,54.93438195784803,51.05344788776018,50.291939600048416,46.17480589208257,46.11786733399909,43.64228599507498,44.767750262476824,48.53000779426007,50.407212119474345,52.3189365172974,57.96783539098111,57.11290491206518,61.261635715200555,60.19676565693309,60.185689716464495,59.86039195049481,58.259198923548304,58.018861940236874,57.16003013653444,52.89440982687941,53.36507119206471,54.10652619544927,57.09273922131609,55.04582697706567,59.72431206255621,56.5611361312971,58.857392133134674,56.55385874561772,56.16121369521073,51.95647937092202,52.48063029557496,48.61435784813267,52.57710802978275,51.10906463465565,54.313523339603705,54.22939534461057,54.38849313754794,54.16027158041934,52.99056081740573,53.79187739784187,49.88716184470151,52.222881409227135,49.777912470545076,46.52099821039719,47.88010927989006,43.83426121932901,42.83893758267345,40.73331734634937,38.67872734220925,38.60455335738039,35.7157274076334,38.15165433953755,35.42565185257128,39.0154743719444,40.78079272746238,37.45455362514149,36.85656363592894,32.62373635907472,33.60948766503229,34.7483137512933,35.034562731921824,38.12679440346628,39.24094799424123,41.52640749547392,45.43945647184986,42.935597873219514,47.30598724470629,46.01392298848995,48.95761050183654,43.26399500554354,40.37564169234742,36.639822561253574,34.66249585795525,31.97046645889706,35.37869840324552,32.62248858418812,36.16012258356014,38.6613268414983,38.755809800683615,42.39156466566993,43.819991731626615,41.24804527414682,43.27103965894688,44.231274553725,43.51023863493178,46.22536407708063,46.95583156784611,51.78019444435472,52.11248970550338,52.26895867497386,52.32279871842233,49.31739449168668,49.9011213875188,48.90823796177541,47.95291448404053,44.75289518699721,46.64456453157905,42.03896138497225,46.56774222114636,44.186777495727036,39.598844453942604,41.57025476978687,39.7976507961748,38.23354965406425,36.15728453191248,38.897956783356754,38.96762286930134,43.98328754860531,46.97534356587002,49.44961569585696,52.27594823691378,51.3876149287413,56.60878558334265,54.0068303465134,55.09133731855986,51.13693006899589,49.675381004070694,51.48174345265785,52.03868904792938,48.852225854891834,50.927353048931145,49.96559111311029,52.384164993784424,47.38071553863104,49.42660088893065,48.753477989938,47.94683465341956,46.72939721414532,45.470437730407724,46.649756257496655,46.818679299620925,43.30715719333611,46.046921090260916,44.01150043423501,45.421985107369736,47.72154641207302,48.401166932882994,44.51542003330542,43.33837691571636,47.05767285937496,44.70208699665218,39.149070760578965,43.02694521204096,47.1291842433528,41.385978610522606,40.409785206258725,43.91244292728548,43.282649170020946,38.70064692251128,40.427274046356594,39.07838231999055,44.3319356425364,40.69863159934526,43.286387334617395,47.03416424424411,50.56379697424465,53.662279256274246,55.32304178773536,57.36145566182609,56.40924470469645,59.30264530905782,57.786993000479065,60.19705928078628,57.92105221323843,52.68937589197574,55.22764359594404,56.22924160448808,51.62460761352842,50.36885645135659,53.09835049567245,50.724419794806096,46.69862158853106,46.80051047295545,45.88107794722926,50.20954112897325,53.41811267249227,54.024501898739196,57.17474129004256,60.13044330302113,58.14132552928365,54.321807701916036,55.77974995912529,57.87791573485982,53.38973666293144,51.42618696526031,54.27840205719672,52.91683008589867,49.15882542053548,52.925136268278024,54.01065852758019,49.81496293916347,49.72635684371023,53.22140284246173,51.33111027625717,54.26601938326655,53.54277528283821,55.81992119949264,53.671486727540284,48.59810823065148,51.441946394650934,51.269905224798805,47.90621605493587,46.442044144648385,50.80683426554867,47.858571007005324,43.23536808842186,45.38959126496522,48.371629421933335,45.02666211389946,41.395583200135256,37.61007143343951,37.66066732040141,33.88014023138292,37.07863112279996,33.60322506743331,36.74360554652449,35.228737480702684,31.13411048927677,32.30697561121358,32.42082281140576,34.315467303141354,38.55954166848074,37.16403822470373,40.89962924759701,38.37706422478881,39.722134630763016,45.126525321749334,47.490242918282384,48.05618554230635,43.029082764090376,43.365359175463254,46.46011015899133,43.44668063790734,39.816175835302055,43.593575011566855,45.68578045946886,46.582052518298354,46.93357835851264,46.420184203361806],[33.8514957960331,32.55634344770183,33.32334353972572,28.21199756983885,31.10777194655775,33.5095073628976,33.98584250456707,38.336440134111584,36.50994674591583,35.58195808436199,37.865929925790866,41.84170087940649,39.83542906266563,36.31445455864545,41.04225449881423,42.92492385346111,39.54797562893651,42.10396038904485,40.910501534783734,44.53625252729337,45.642999133016474,49.039000617479374,48.05599305106969,45.54808736690609,44.72237820487638,41.37541605687639,41.4559808010793,39.48922965293008,42.54753300801418,44.625672443076,46.89796650516276,48.660445813683076,52.180971923272274,54.420147181604584,52.066933797308856,48.80008260100671,49.38815932509094,47.08213329539775,45.58481809309145,50.72920981296814,45.3529017258971,46.871527144274566,51.255393683189176,49.886447361635234,48.48761306597565,46.78267437413698,50.10174493126748,52.46441114568621,49.7853909234119,52.06365049459797,56.28672009778742,56.70478747427075,59.43208633859774,54.803092823892456,59.913789458782084,61.46827674456177,56.85462206436708,57.620998822425804,62.14225790400403,60.21122856206384,56.34610872713791,58.15298454756031,57.18533629579795,56.57759884328345,54.12387993269767,51.98305068625342,47.90691816472865,46.85290511580167,42.661199491229965,42.26729844222619,39.82403118292301,40.874572938274184,44.64195882867585,46.83070403821518,48.621782641442564,54.37825354696952,53.74282739087478,57.75730258846788,56.88217517031718,57.13166323664038,56.78330958113286,55.491686140975936,55.06066772611787,54.54623037514819,50.34883914005043,50.446860076198725,51.1547056719309,53.84032854913264,51.75315305619261,56.147072657036155,52.87065794862165,55.04192742886024,52.57197679763307,52.064794300320955,47.82121023158807,48.148126299646435,44.25942153890817,48.37972858737694,46.92506340245353,50.10965917798311,50.31691156371505,50.65299665210586,50.64859090956664,49.661411009884354,50.93103829599402,46.971362468295446,49.532673968869,47.38811037269558,44.00006751146532,44.98377074567306,40.792868484992965,39.74200615572414,37.252104321956494,35.4083408375736,35.036763924199555,32.36449515799806,34.814870259084906,32.39545026334532,35.89528138761338,37.26468526935032,33.80871783403986,33.04201829173694,29.013710445122854,29.959105072625817,31.03163818452651,31.900939666440134,34.88623279713513,36.39380753283276,38.9457426333331,42.96465574958885,40.91867223833207,45.4153918104979,44.31433448934343,46.84869368297415,41.2903518935772,38.02810378137561,34.611047646372185,32.392347432784085,29.532529189725455,32.826419908793405,30.296177057524513,34.10272888593325,36.13074441748927,36.08872049128466,39.76637540879205,40.76652200852502,38.12862320955305,39.89527806189923,40.8790803595554,39.84326149366059,42.63060937909017,42.99710592190189,47.89328300622978,47.926027948310114,48.02124813065644,48.29831316020181,45.37797444345988,46.23109159393371,45.27578198229991,44.715898756657786,41.840621471258466,43.65442084152723,39.44460972006524,44.063811476988796,42.21581380662756,37.85795935343785,40.113576688100935,38.82704233341539,37.20430863980396,34.6858725183189,37.23326080182593,36.86249519404697,41.78264646197172,44.51912015387214,46.72326467274955,49.3459648341582,48.15039380770186,53.51478621438567,51.223832397165054,52.425533652606205,48.81954156525112,47.119917522671976,49.42145135277251,50.288344716427986,47.032403364079094,49.08785146478738,47.88251964498898,50.728022836171,46.02200155117817,48.195956452074135,47.82910638957681,46.62337768655921,45.61402249868821,44.24199591454407,45.421659197929834,45.72949899934249,41.937694077301025,44.56074231136802,42.416650800695365,43.344620688691265,45.80428656714229,46.04105216782206,42.07393960613022,41.29804716039658,44.884077859464405,42.12099101684505,36.86151917652915,40.91317568711979,44.60948861499011,38.659473815377766,37.98754746774232,41.46102047071055,40.37665671575431,35.891400011992175,38.047676097973124,36.985898344196286,42.269972242463616,39.385009686890626,41.65820219926145,45.343115394042925,49.22289675752897,52.35903992526703,54.1477647947319,55.86481825734738,54.917416687435235,57.781884112197694,56.039004875276696,58.7935547763221,56.73066696587165,51.2375118898195,53.78939221937572,55.25547027868091,50.671190626197685,49.18728332841558,52.059042235443826,50.158495014459206,45.999737023372234,45.80565603590079,44.50838153312333,48.475573228129605,51.749010165004265,52.075989924024924,55.02820887863872,57.83692937877871,55.62814604131287,51.879999049051996,53.37599878222013,55.15472948877446,50.554803180398764,48.78666804785865,51.41603286768898,49.83344791380655,46.25289282782569,50.232376500045454,51.064547420395336,46.70912335292316,47.02835868164837,50.67141879166622,49.00742433104928,52.026108079932484,51.2862758733501,53.88562914685879,51.800063062652,46.59030837670305,49.66706215483286,49.80373791177348,46.37669712138208,44.94634860450534,49.70421364190614,46.962825788914145,42.12695283767476,44.439695831899755,47.797096604978265,44.60219509745511,40.80092897063263,36.68136915401921,37.39606559831928,33.38569453306484,36.20701674040702,32.20730330133362,34.96980519771304,32.844087679915475,29.14866554693931,30.58749330752383,31.284528531084852,33.06544978771943,37.00848879237058,35.05863900718473,38.7872421252747,35.80600503844045,36.91111800877356,42.175338529282506,44.52372448300617,44.71535336422214,39.7619449926181,40.20489857064698,43.01150840359629,39.77047054372854,36.28898065441574,40.198268369709574,42.093432756349834,43.05272554168641,43.570278944063936,43.15041810770324],[30.749980777516488,29.114610012148926,29.489439437177392,24.56845336813357,27.20358131337667,30.252939501598732,30.91208862971454,35.39574524994312,34.10362946404875,33.39683455685432,36.04291442183168,39.83729367179625,37.67428267394465,34.59658762213754,39.51492184683266,41.106815111861046,37.660339662470214,40.52262661376744,39.584587246272164,42.86933896470934,44.26217128813325,47.45029547419015,46.75815837978272,44.22525703216319,43.03437757321438,39.792959887860924,39.458084010058926,37.44116961193179,40.542580603781175,42.45152646392663,45.36728232080217,46.623403383346215,50.38117546402245,52.76373608870517,50.13114069420276,46.90602374998645,47.070382259437,44.8285653360536,43.13467489725594,48.04647950647003,42.87717501768572,44.83169150262901,49.16273628256181,47.72908357945684,46.46512571367376,44.4655741012973,47.872031336289304,50.23791392667649,47.20267889842035,49.32950441906072,53.645801532125155,53.87766971351875,56.80795486396077,52.172329724614215,57.35864333748522,59.136869808549655,54.70057560091191,55.48860045065364,60.087874211467906,58.28234584361999,54.60889238611345,56.66302974024823,55.788521728982545,55.46093617996186,52.77073385194708,50.42997144813133,46.79693316039356,45.6032658985984,41.752010599032154,41.35137996480508,39.16013481866914,40.66327664208193,44.108918432413226,46.249041943436126,47.625032103017695,53.47252289685659,52.403168801148496,56.373530586682904,55.18840207673755,55.236022687575314,54.519778703775266,52.95883157461444,52.29194999479612,51.55065359409077,47.413018905795184,47.775828673475395,48.87172694415957,51.54825764275158,49.899671679875716,54.443062248337334,51.45793489834197,53.99728741607381,51.476506956143915,50.773625822751995,46.400560021426735,47.010026130903974,42.99221511122847,46.64243594868542,44.9229137001178,47.86326783943064,47.93979605773953,47.798713186795105,47.82906541511542,46.41488743838863,47.390708737264646,43.30788153230393,45.5973595491575,43.27466145890361,39.8640768245942,41.123571764839944,37.0115596041106,36.22112377125143,34.06731441891798,32.280083299137175,32.48036183345537,29.855446978660222,32.686656847192594,30.34875043549415,34.505712170938985,35.736316945310804,32.3737744971476,31.32951188519847,27.005216457695997,27.529995856026574,28.274699748266666,28.551781299559202,31.305986325123303,32.62940958070814,34.93439755969663,39.02500142948011,36.64746196070866,41.09846574802392,40.108601424210185,42.847482641489705,37.2984584163858,34.230718269630785,30.46845360801873,28.68690394396689,26.158494817911798,29.736132261958804,27.715876491251354,31.75399396831631,33.87777775645396,33.49296038738416,37.19499955374495,38.27128484576093,35.4856372568496,37.183663626745854,37.86579579337891,36.956469269774566,39.472640817823255,40.21401322940188,44.962431680150665,45.33619566195287,45.64957296193677,45.694127599009754,42.80458781196948,43.26552489049078,42.54341471066265,41.46845404878339,38.577689379232126,40.80066134794827,36.43062719759806,41.09728418363224,38.94417968250175,34.591553283271445,36.445707875937075,35.1681715322801,33.229641552172076,30.884319761079023,33.35285798963721,33.30490094352183,38.299299653773154,41.12240414711058,43.51877554035781,46.12361696921675,45.28747665573466,50.50162009081649,48.15467914669238,49.10608458073275,45.40885983533831,43.49908030420426,45.62718080638325,46.46666743552278,43.3410044202673,45.7639287584036,44.90119174072418,47.65501655773954,43.08492901419655,44.87911333128584,44.29132178491565,43.008135700678494,41.68270016420925,40.13311841107706,41.142379270951764,41.249495565284626,37.43938730538837,39.988782259909826,37.77681589667514,38.895143377744134,41.23030207610531,41.67466661239447,37.75693681225951,36.757942546519516,40.41981966763317,37.877276911022854,32.44944894312206,36.46574095588216,40.405233680889125,34.594046022980805,33.81050244760087,37.38393348694253,36.57754662211433,32.08198066435521,34.12886280790452,32.80145229775855,38.167303397817115,34.891177484175586,37.1503699695889,40.92548679053181,44.64152485117037,47.903228703523276,49.534855592536026,51.256989149883935,50.24067677331915,53.088971469380276,51.40324814435177,54.05207440706134,51.93978485135996,46.500938081549116,49.05922861132503,50.41975148636013,45.82270109541994,44.394440377067475,47.27841450596953,45.28088999894607,41.12167502799455,41.0557169450088,39.764309016254636,43.90496517155849,47.12632522564627,47.520433118685794,50.578171904065606,53.44257612342507,51.37224359512729,47.58029629079995,49.03567947626328,51.01022636274447,46.482560406271396,44.58924688040288,47.400320605701694,45.988707554703474,42.286346243739835,46.169755174943894,47.223615250754186,43.0268561049197,43.08338657342703,46.65940890648473,44.810618228533606,47.714960938417285,46.90730933216701,49.363476844602395,47.332419466939115,42.12316958189394,45.05899688560733,45.14192714275019,41.753900556619435,40.23217335135647,44.908804072435935,42.189509513252865,37.34739234720763,39.58747002576009,42.925063727987286,39.76756819445495,35.956478944835105,31.883219278315707,32.61160997358759,28.65834235021567,31.633107058124573,27.649687282870676,30.43510456580366,28.576361331749528,24.70544945406993,25.944843429422917,26.47718910265736,28.249510480513198,32.27898990059631,30.54994197593327,34.33353181679223,31.63145744955943,32.81135117949523,38.19815861538811,40.53855033807919,41.06378161330645,36.03614104035058,36.38707370285215,39.467191773085446,36.45382869544811,32.834934565524215,36.693600988980265,38.861671578763314,39.82278945510088,40.26019903831023,39.88486645444146],[35.89077397139057,34.00044352817429,33.858584390934816,28.83025828039516,30.622894201674562,34.15039732766244,34.31320495614199,38.76969410400654,37.502374852205314,36.18384089286492,38.811542695392724,42.762520186573205,39.96430043846648,36.851299944824,41.52989996359731,42.97921218464341,39.10841336619096,41.46866993102421,39.78536793137069,43.03196872635731,43.902343514946814,46.81870834124736,45.75554102706652,42.898994859849104,42.15237398924476,39.28715471898936,39.40912484009764,37.96971751335577,41.48375237486691,43.90999859464857,46.79001468448474,48.42916594483373,52.24312472670375,54.16866636194565,51.421317544069154,47.86961917600499,48.335696599094625,45.3856119507834,43.447853866056235,48.05378408305522,42.52106944182864,44.49803525648428,48.648979412257845,46.828820132425406,45.102817434235924,43.06387742715766,46.141014004634506,48.90115391805834,46.35886136674683,48.08524724819676,52.604014855461834,53.2142239515638,56.13257773890271,51.770349387336076,57.21311143662377,58.52707112954289,54.014413702826225,55.29649558540239,59.696890825937714,57.38707538195522,53.950511535280114,56.26251680860987,55.73819220411237,54.93333532662327,52.1353442909227,50.23802434395301,46.622749551212095,45.98770633604919,42.062576545104505,42.264818494519965,39.87627353569101,41.28966028816345,44.86089450195558,46.4716422842761,48.28505748165136,53.875719851823035,52.71512219811153,56.93151757008396,55.658574356234865,55.44798454761164,55.08999780177912,53.30233663817796,53.19776806655811,52.16202892665869,47.85688700265449,48.51467503891531,49.27109678943812,52.44765442554057,50.47587153036258,55.37727861128092,52.377818572290415,54.884955686398484,52.72471920129748,52.406381504723875,48.24470163358533,49.076009585826846,45.24657623991806,48.94540097268891,47.51846861278291,50.87641725173896,50.30711371503641,50.45926835644261,49.87534125313314,48.75320346315767,49.22831442663738,45.52540977447389,47.92615026895712,45.389734528225965,42.37263512164336,43.799506054848116,39.897985379769686,38.59659026616601,36.7563153287479,34.364168404711556,34.388853163520515,31.286298403916526,33.66568363839089,30.741981729918827,34.50767416178663,36.49477783150072,33.317648211889974,32.84700194445111,28.44014596512736,29.512790708421267,30.8795004503796,30.743053431364267,34.25643409028201,34.963934561315405,37.237955086070286,40.90821086772787,38.43511306057452,42.76112354833616,41.20026726741715,44.175083699774646,38.40247227070367,35.616693717198764,32.00282286420694,29.823622928323868,27.092043371186303,30.44849039334807,27.542972188883592,30.97621072407652,33.66217567414714,33.8075155824365,37.403640751464486,39.08721142686851,36.59281683952928,38.85120810367684,39.90553456294271,39.556705726337064,42.39852370387249,43.51045222295984,48.332689203320356,49.16712445898267,49.106588924782,48.7816070602321,45.57833323983896,45.97749056095813,44.76492023552844,43.614767275682986,40.09543324925542,41.897486592833104,37.07865720754512,41.53043586378986,38.97723447355835,34.328807797325524,36.32544080038337,34.477937513470444,33.0658563531442,30.998769264856694,33.83011380820586,33.92494329719227,38.937001224474685,42.02741897128065,44.59783066848583,47.5815107745605,46.832846814851564,51.958671931423744,49.13732019018458,50.223474605288104,46.10095434663343,44.908379020156076,46.498784919747905,46.930880481815535,43.709956417263854,45.66539426941597,44.737317808859295,47.03863404965109,41.98146019894079,44.03569474743697,43.37916826745138,42.641739990509,41.523721946317636,40.40108393737992,41.72569457440954,42.09656896294426,38.73331123050368,41.68880887438366,39.9723906073148,41.419753110340835,44.04077691567614,44.81180143757083,40.86370477450253,39.94240185329253,43.88722541135797,41.62540386190122,36.142492998324435,40.267047257100145,44.51217963362919,38.910688365648916,38.17758850327217,41.897352501452296,41.28430520592636,36.88598875017189,38.92244469163559,37.28741225648793,42.72542659634215,38.79488290204948,41.03576302245271,44.966891137850965,48.29180467476773,51.769495862263305,53.05050979862629,54.77197671887661,53.48532814639327,56.15317193863886,54.36584313907263,56.67453592552714,54.649031911443984,49.29214655670665,51.5338356133881,52.585197377376026,48.1253180384049,46.611073784768365,49.09272830056639,46.98059381414823,43.03785797987087,42.62332373292804,42.0567126077481,46.10706173244324,49.44806656428346,50.3730965489416,53.39227144975882,56.64262846186586,54.433830691445095,50.6040202183337,52.482036883708425,54.61304180176443,50.02257285401278,48.32843150898332,51.459041500253406,50.18609661554089,46.50520164765001,50.426350612778535,51.71939963827214,47.693844345442336,47.64126046610559,51.166346858859505,49.09354250551812,51.743337419292295,50.653020662281094,52.90490067198123,51.16218298302699,45.899570521539225,48.40021286825202,48.52211270225457,45.287985319075595,43.35029641973491,47.79089445018728,45.23192850402752,40.40782995577007,42.113965281454945,45.37477640019104,42.38262868151266,38.64112523048328,34.92815819440691,35.30852198919323,31.740018563312148,35.24237242493071,31.526142398552526,34.29802105993242,32.81673832501785,28.8174085183972,29.52144052466542,29.55681890866516,30.98360994010054,35.240132413174706,33.536109971077586,36.984638778978535,34.450456691605005,36.31447044562123,41.59682002327845,44.22810345970536,44.75827966147133,39.72340007412196,40.503284926519626,43.739353049890184,40.47748215134388,37.248626228261436,41.32946153287448,43.66915899881934,44.650318523530714,45.05478322818886,44.74243526260815],[36.33329363609828,34.65436476076502,34.73873718995755,29.33323350671334,31.25472134785445,34.03967892759247,33.87538838987151,38.1739063568911,36.364278585867915,34.74623729873406,37.036568569217295,41.158472861001115,38.45784251334632,34.94333764325702,39.43346728266007,41.13550059032834,37.348020003129925,39.454235372880426,37.63712032389285,41.21055040270609,41.91506576892841,45.10433536773988,43.86433012637258,41.145232557562366,40.62294891471614,37.54220593643041,37.97769278233291,36.47606718937255,39.877311864628744,42.420013521374216,44.688745703117355,46.78222665157204,50.3683097428856,52.17243909567901,49.696783118378484,46.14017673799088,47.00139546881921,44.087165407399475,42.41905735475164,47.36336103588832,41.70665069597259,43.175190435316196,47.42853426850388,45.81156230472277,44.11441360829065,42.45747071811954,45.572053589553136,48.13480777636096,45.83848225030531,47.930115901586696,52.222983011900475,52.918660322329124,55.576125927722856,51.13344512114252,56.40053411838428,57.595556993253304,52.910020659227946,54.019413511546155,58.3878845747905,56.101820944888196,52.38901482026686,54.3805598629103,53.68687141758354,52.732446217481254,50.185881305455574,48.37160154083223,44.34069041044376,43.734038970017735,39.52716479286602,39.674071092021826,37.10472866295593,38.18487495179072,41.97744996792598,43.67864550542664,45.77650777959357,51.31651008128991,50.54741582793581,54.76433571591449,53.79359694597042,53.82887302336114,53.785333752358326,52.3422584970454,52.40018134509964,51.69599842448097,47.36308312922553,47.64104429631641,48.02779573551762,51.123975639195905,48.75491685419605,53.46054393084481,50.19878405875432,52.38965708205531,50.250927382345296,50.08631378160516,46.040407062933404,46.6462761401853,42.93929155599933,47.03160852392582,45.867127120446874,49.49697106489986,48.997385163125294,49.667647923606495,49.03223929426376,48.40850788069415,49.27969998772548,45.72861883064814,48.51884887455904,46.27425573961918,43.285404230512434,44.28603798913598,40.28502111179142,38.613670807970635,36.36368633440796,33.908460943565274,33.2962029618255,30.184793759707,32.202052421866476,29.295584608757554,32.46523120666292,34.46137770317248,31.187943822745748,30.9384054051076,26.835793804374138,28.30423581144689,30.017819612527962,30.568388112302834,34.378003139252776,35.32216726380192,37.960397821452815,41.54396478206271,39.6395147593928,44.06063120713147,42.42758128977918,44.98676294169259,39.26774477108681,36.12639195348309,33.05138178275382,30.27850342367679,27.143098944971634,30.151832039828182,26.865058965295717,30.197124956231125,32.5745445139549,32.978441073150236,36.55801648654885,38.02278569250505,35.65733944972075,37.92613889086016,39.301316039375735,38.81259415193081,41.98359113122142,42.72525077700474,47.71752446905377,48.30361249939124,47.929484119078694,47.76990816276904,44.501974284356244,45.31886164716287,43.83182320294999,43.28032416256414,39.83600361620813,41.19086009180824,36.66674934747423,41.09420377258617,39.07157017102121,34.549736628562215,37.088347301937645,35.51732984702156,34.41309842614302,31.928509682149578,34.726328484836685,34.27190307114778,39.14724445947556,42.04172870861353,44.31791185178349,47.26101449204199,46.0718947905901,51.37544032319365,48.69397323275491,50.07384020698197,46.17197711831468,45.130091072152396,47.08166809862622,47.674134580975974,44.289703971358755,45.85340258413673,44.48297872902821,47.0696432244599,42.057475721785934,44.5346792420364,44.27361580340873,43.39271835569456,42.72477898297377,41.74243013482328,43.26100695136897,43.955723183340254,40.49470613807941,43.507771276111164,41.891223292730274,42.90650733571736,45.832414911162665,46.20777033815519,42.147207307905504,41.726940317666326,45.61163298708042,42.9673943196107,37.804162592491856,42.14374210323535,46.019025541373075,40.23017160592048,39.83603787202382,43.540906853171855,42.463214839560074,38.180990326735,40.64571941086762,39.278143167657284,44.73898423445981,41.429186887412705,43.400745175501896,47.29013480415566,50.879661277510614,54.39985179836101,55.75962592750683,57.19549103219901,55.85722539373026,58.44858243223944,56.39448810124328,58.95167288072002,57.169831477838365,51.57916879260594,53.72499172103573,55.14509167554713,50.7583018513111,48.98429381947408,51.453978679548754,49.78834389760822,45.80087224382877,44.942772129649775,44.261571078716855,47.85924540667616,51.324870681318096,52.141178924299574,54.915388073502896,58.14075776630168,55.61403031863144,51.85640199730429,53.9383277454544,55.74182788200903,50.987547935900054,49.60095092465166,52.560522155042555,51.0557889099112,47.595289957824356,51.77218172775537,52.82149118955918,48.637208081506856,49.03000561240383,52.70511987344316,50.839189459033925,53.53344850259402,52.362703649232444,54.904949610941664,53.287254386779345,47.87995925407596,50.51509306713045,50.951125391590175,47.68891680754253,45.69229606826414,50.448592979976176,48.11134743094019,43.107759915231604,44.82778506634013,48.40511677048324,45.57650065908937,41.71415555141939,37.7889184572973,38.64343064441559,34.94919277820123,38.20433303700217,34.093917749936395,36.52796012814555,34.49504644403758,30.877224809257132,31.753711535176706,32.24528705880179,33.4781096491413,37.48749835030745,35.17767075707836,38.4830890615401,35.44054510048798,37.28507105396657,42.35009914471625,45.078868646063015,45.10873251716477,40.16876484593093,41.24779187128688,44.15775869531914,40.484768686920404,37.598497482020896,41.91097710955371,44.02426048305714,45.076499447027544,45.65254330209286,45.42643572736524],[31.709293062454748,29.909011819492772,29.854502332187895,24.373876164365853,26.26316534729178,29.023603076056837,28.90472137464633,33.24484046129863,31.58731968045285,30.152453663362486,32.616903350948874,36.638624037089535,34.020883681494134,30.696539171762687,35.38046800044972,36.99651098438478,33.31346551127031,35.78535805266294,34.44416142825197,37.885287665669196,39.013324220124986,42.270419604048584,41.3888207479979,38.85644764555857,37.88089703346926,34.609499241489935,34.60507395198577,32.77484693207923,36.018209720118,38.285269206498285,40.87023794469897,42.591356316251414,46.275711940134684,48.32460401697228,45.75845804467741,42.346796209347154,42.908330927986604,40.32883655137107,38.70790919043828,43.76449742172649,38.35801392177979,39.969186679398135,44.320606716258446,42.911268261353015,41.55975128319085,39.83352260504699,43.213599687769864,45.50395677896698,42.77709886912704,45.10770432095037,49.29117568816554,49.69907136604856,52.416621044819486,47.7940970301622,52.949522946085885,54.488241729756865,49.89807861691272,50.731660714981416,55.253384994756175,53.31109747258682,49.5245966253394,51.48432011795256,50.64451426355681,50.089938091403894,47.479207067257285,45.31425368362968,41.485633746629375,40.515076253033335,36.518063351571755,36.38008541069222,34.03946434906139,35.45771339346157,38.99657171199034,40.9222401839888,42.573590963965486,48.30291347495469,47.34014457681693,51.426591587412744,50.34506808321863,50.420046594960844,50.04953874203459,48.62250964942746,48.335141166267825,47.71144987196553,43.46575559735925,43.66774335433571,44.35152435979686,47.21492145001446,45.16819625596537,49.791332309487714,46.66910407543237,49.07705818967496,46.752034042540124,46.331451978979516,42.12770979877697,42.8156552980541,38.96566466328475,42.81569765110515,41.443059993470634,44.88134686024609,44.493477115656255,44.92741121189585,44.48310200757031,43.664009473205084,44.66539055594714,40.969632406343656,43.73900210007484,41.580766119548855,38.480461768023176,39.401529553396855,35.34659607298567,33.79803045659629,31.501716157279045,29.213674216373352,28.802631178471916,25.861523864942438,28.226936981401828,25.61098824365776,29.31497174940832,30.875411989080675,27.540893636515932,26.91335140335872,22.66729476296237,23.791229836118177,25.240141239532882,25.79203282516287,29.416631748122363,30.50610735773233,33.18287211343842,36.89943031187781,35.1017402117116,39.589857384132884,38.177027296297446,40.58044340612474,34.95687825820411,31.656132586196158,28.57239134627879,25.894712929787683,22.83730769126559,26.0083917861073,23.29351860319421,27.09191629185454,29.16967566316225,29.17243626431648,32.83808760044576,34.026598865639016,31.46910740920065,33.49955207590866,34.670601511388035,34.04645664433168,37.09135647568393,37.85799465623144,42.81080934896961,43.45281491310375,43.1863254915651,43.0052071468887,39.8059259786475,40.52587194295823,39.23476518485408,38.58263286704081,35.35155041709586,36.97578309250631,32.60626083384132,37.17449628793172,35.31746630038948,30.961430192531708,33.42207983299286,32.24362538856442,30.841871375458272,28.125236128239038,30.72110280902378,30.1586547833015,35.04324020189568,37.8193464480583,40.047488925765734,42.832023635497556,41.68453976190844,47.002201064756186,44.50712888762734,45.783908421161854,42.06529570923436,40.670921768279875,42.87548618502095,43.68749599165388,40.343535627036346,42.19291839862639,40.90507441126837,43.76315996809343,39.08824640187219,41.35590281793296,41.153731433379576,39.894378289724884,39.136117362424415,37.926180136389505,39.31793862962339,39.96890569777892,36.28384821348627,39.16124473240458,37.432112500584076,38.21989859411728,41.187321132186575,41.38579211313674,37.30291319748249,37.04473339043099,40.883503308454664,38.10861274836038,33.078981781357136,37.51499716564941,41.25013609310172,35.448182976049566,35.225261158023066,38.963540719471574,37.75528868275142,33.58712827935879,36.288850783512295,34.94116593582186,40.438847466259666,37.40433770241408,39.10475055208355,42.99054483870145,46.68041978174333,50.30035691922503,51.625656849147745,52.82632275731216,51.44054276330715,53.98687232915546,51.81075651994615,54.53149167012583,52.87578589575753,47.15136315781407,49.29831778543486,50.97537582618445,46.611182893267994,44.71180746113599,47.27967862096944,45.89874639414967,41.83676646470988,40.83957931140563,39.89827466319062,43.33136865151168,46.80514282887113,47.47211572190937,50.17133112602342,53.33276460544901,50.74414568608612,47.00872903423366,49.1000840234281,50.81017360208908,46.02825947055642,44.71029653257552,47.642264558497715,46.10666927565468,42.70343067128821,46.95983425071703,47.989772520484905,43.825875838268004,44.3287704357246,48.04506765722858,46.213161698465086,48.86273277346651,47.622430944924105,50.28477314565055,48.770321090192624,43.284966268182494,45.96139924962413,46.58950115461706,43.333087762060444,41.287428251684716,46.246563169620444,44.09921623814043,38.967248106808924,40.71816650725211,44.53716159330265,41.87199412521117,37.91096565634738,33.82313471094174,35.16251991559963,31.409564244390076,34.47538490450017,30.052577713161114,32.16339929696658,29.886034860410568,26.510696881154956,27.38306451080103,28.179550618944663,29.25875141926068,33.06927107986116,30.47635832163008,33.77810950894946,30.58057349168928,32.3410642570816,37.370447762158555,40.09801465691375,40.08274112824758,35.14539757029794,36.276666700997886,39.17035917261981,35.46908030923388,32.64074810530194,37.031240505751335,39.20807183952659,40.311214182378,40.95524479056843,40.858980054816804],[32.93930706765272,30.734954776399658,30.053979981058994,24.86664668981326,25.985679914210227,29.738421368885742,29.579194563774525,34.00351602398326,32.94059728147704,31.42658685045072,34.21002916125593,38.094086399733925,34.98999666230873,32.1303686672802,36.80657826397818,38.038000596294076,34.05364759549558,36.492459373163975,34.91934833420228,37.962099239858546,39.0129623368611,41.84928429340379,41.00153170326956,38.20883845404107,37.181629550892005,34.31234837718583,34.193000613134416,32.7304186580512,36.2831832814722,38.696837005640866,41.89236399131992,43.3337237242165,47.26578313128854,49.17067545028629,46.26893063795713,42.70718782516466,43.02201201478618,40.047417134677964,38.044706299913315,42.61643047263692,37.17908457949936,39.29001558435531,43.44640394933435,41.68057651114474,40.12705664849373,38.03502328299443,41.26123545908867,43.86618469010754,41.110036011950534,42.96029580706656,47.41514383864198,47.897791312185255,50.838918642050565,46.406944258786766,51.83255690613864,53.281343612772396,48.82745657916896,50.03708747398579,54.497079034334845,52.326901523665484,48.91549232246604,51.30572638401429,50.79875649265362,50.19550722487593,47.28336688970894,45.233287421806125,41.87544774173507,41.15031548911484,37.46341792086563,37.71007704859926,35.50087189932611,37.253606350609914,40.5538426796985,42.08250438888068,43.61893824949137,49.238667593190314,47.80542980539244,51.99317353763775,50.55380035729433,50.251810690571595,49.7414841452358,47.87420820940512,47.710559317789155,46.63474246591907,42.342757834308586,43.04776920115327,43.919586720462505,47.10183211078923,45.30266334412306,50.290995857297126,47.458593081664525,50.18406372155913,48.04466896934179,47.67291642769509,43.49851581127917,44.57002307387804,40.73749095808414,44.141351655683906,42.68329457758137,46.079910159734226,45.210083535433895,45.309751577914106,44.54527403404209,43.43407484623927,43.78370958170022,40.18869237108083,42.69007944638525,40.175293324370884,37.296827057803554,38.665884131142306,34.84830853295664,33.31288481516301,31.61905943332552,29.034160418817866,29.166519943824863,25.987894940725365,28.4438589954059,25.52129748100411,29.627416571956868,31.55607846814183,28.48209346281425,27.954772329205852,23.405745010393453,24.409308933428616,25.863358744247897,25.445241307629054,29.240948117963264,29.71120189570782,32.04405351895685,35.56935123323333,33.27152338687382,37.61562207301511,35.94717967122355,38.79295267513322,33.012207772599,30.16337453669287,26.72575922182593,24.32880484998558,21.545292302049326,24.909583435487377,22.133241416301907,25.73017846459106,28.36321975227506,28.366112505711165,31.97472876757549,33.68260955798513,31.173380368894268,33.49452694728495,34.55966426130506,34.42620838491693,37.33530826172347,38.704244343321314,43.502058700875146,44.7105240108047,44.492929531852575,43.89263384318778,40.57796947034949,40.84031701037676,39.52183995483856,38.253391422568676,34.60487514387694,36.41171294421439,31.54485989589659,36.010117424194505,33.48376584438061,28.88440696437528,30.95541761448402,29.31259032344288,27.902042709854182,25.626500234105098,28.428629827271976,28.399563964264782,33.40318295996786,36.48299968338338,39.060871716930066,42.07644942894267,41.394775713642105,46.47359465471045,43.605623951499474,44.68438192507194,40.5626554456214,39.41455661638494,41.03181415397705,41.51581555389254,38.2568588137434,40.21522886046047,39.28614239898895,41.69711394211832,36.7927868530887,38.807613263960235,38.26847970769619,37.33964136435772,36.3270095194889,35.205449137274925,36.61228542991146,37.17823184505436,33.783960160192045,36.848327744002994,35.34557198791769,36.62125742196103,39.562928854822566,40.24078112233146,36.227362631218384,35.68163141056894,39.74943012442796,37.43901152063974,32.17078524525794,36.54397761805198,40.735214150629275,35.246245409613536,34.849376436967404,38.71438153872184,37.97669113463492,33.83939205480742,36.273680020851046,34.49950356098622,40.044625555658676,36.18503149272564,37.95563765909108,41.98655327949129,45.24342820328563,49.04076591674313,50.03696801814323,51.34074843234318,49.77845254622823,52.234934570563325,50.1351572312535,52.497747827941346,50.77651422976082,45.22290762065724,47.2187781660298,48.514952936304574,44.20071169228461,42.37564992754311,44.7146728959575,43.05075557194739,39.13260848546299,38.153282121313474,37.699972370368556,41.35243223003372,44.817577894550396,45.88355011161065,48.71564302965888,52.14255567672577,49.68545555385193,45.87970064382696,48.11109125541112,50.15435043639208,45.46025680083101,44.06455062765115,47.348887241933404,46.09451633201849,42.55686198547973,46.65621419260196,48.04550758874201,44.154375587789765,44.258241331514384,47.83086126064105,45.68895977639196,48.09938028341723,46.690155526336426,49.02982980039108,47.671243288364856,42.22600081591175,44.502923011236355,45.004297135681455,41.88003521295478,39.55745570774601,44.20504390958047,42.0944868864033,37.04185250523312,38.416085232792284,42.068080328428515,39.47745183472373,35.59887679946021,31.83948711563955,32.825794284491764,29.399223445702848,32.938951948927226,28.846453381466134,31.07002775611835,29.412919583780177,25.73370514177645,26.07682189218163,26.294353112805418,27.206669922879108,31.289439101776775,29.089131778693037,32.25969237471276,29.562998820971906,31.796053268688443,36.89885099929099,39.741885435150536,40.14032326565166,35.1450638696663,36.33997593149195,39.604999548067546,36.100714735606516,33.29452511257105,37.64204642026691,40.14868017798495,41.228866653464976,41.73097495027573,41.65571226838029],[37.07320528761822,34.89045975155792,34.100850636177995,28.734222314884338,29.46210459287577,33.00074996602307,32.358783634739396,36.61089860052597,35.25153934496359,33.17464584926519,35.70387575342243,39.756281561358875,36.30309585572284,33.209747371257386,37.54288238711132,38.81021234916479,34.601592516314575,36.47357363671685,34.239446978176545,37.42798516226053,37.94862632676864,40.71661059744854,39.46101737224864,36.491721429487825,35.97605270797147,33.302246455082795,33.757359822133616,32.73842892512897,36.51146532003579,39.369661377536836,42.14206474993317,44.13106775381749,47.94019951575153,49.42342935043028,46.615433820004014,42.82532707606171,43.60789127532576,40.13164928963224,38.11885071522623,42.62399032787916,36.85409508650382,38.65260920911284,42.704981519412506,40.75770176417979,38.847432230633025,36.97081374730937,39.93484857149257,42.733017097979044,40.54523199555581,42.288718300466584,46.74815009607364,47.58619222669329,50.345412885462345,46.10118741019329,51.59609619007321,52.601614587851486,47.996268435412134,49.48877062072107,53.75826756679655,51.20947731408862,47.829129792875904,50.22454538672381,49.893351890085476,48.82686736516696,45.98679655121222,44.348887026157485,40.771406804172386,40.511352275899924,36.621364447642456,37.310186566965115,34.85854058417005,36.33355010994897,39.83641474824862,40.993836302037174,43.030215016251354,48.39231926671129,47.12621339431678,51.488068236265846,50.166808120082266,49.812952412340245,49.77291315785679,47.948764840765875,48.318408851899285,47.22526830423741,42.81702887086175,43.51160294597394,43.887640865590996,47.388290123763795,45.11020377548095,50.230987502666714,47.24463934841037,49.74498218864026,47.90208154058714,47.910820063854274,43.98823644612603,45.079920085665165,41.48448242442657,45.132307923560845,44.04960203876638,47.871442868699404,46.601441326033886,47.21539666086914,45.992392913565446,45.3970359618041,45.62295877009317,42.42311395650178,45.20398307626481,42.73738598961519,40.17781799477602,41.3968523721904,37.708753814877895,35.633170851732125,33.93253256052774,30.933473903132633,30.54200273043945,27.058455491512596,28.887653557732705,25.547832858056356,28.89718019535834,31.429548917135374,28.484801832962795,28.550888232985518,24.2186521656733,25.862144744378003,27.93975941658533,27.669522015221048,32.07306771681672,32.267134164383606,34.75236630126815,37.88088226437814,35.88408052602295,40.13081886056328,38.03166956637015,40.766497694658014,34.933158365912185,32.12647591474999,29.19747159427625,26.20446449775631,23.087844433849853,25.953512852219024,22.245960310589723,25.182338098191178,28.064892050954192,28.676695869547558,32.139226368180644,34.1753506139669,32.006624393137514,34.72885951333365,36.248816712330516,36.42722793952447,39.719465196559106,41.09833165504314,46.00257511523668,47.35002434413637,46.710455547428154,45.96886638460184,42.43101843665308,42.89840487049972,41.08498427788869,40.13765382379257,36.12272765380978,37.314151432827956,32.34282145991406,36.56789456818554,34.08595573881467,29.38787370012499,31.893216020598413,29.985472493324348,29.230943717220356,26.964906462525466,29.97283718785603,29.709884150326737,34.5586348631846,37.68332595906529,40.18424643556489,43.43021961540906,42.55217093929302,47.632148029181174,44.51537333881371,45.86605273604921,41.5915838462527,41.08729841816998,42.50486498204624,42.77204613653993,39.372711072771125,40.70242934731399,39.45220409131257,41.66089176127227,36.419304099371566,38.902664014568266,38.56219724421964,37.99204885930049,37.435746439836414,36.748014642502135,38.49174227742031,39.43534238839859,36.36037414557078,39.69658761334221,38.603613181336186,39.842981244078075,43.09669202312964,43.76177475486898,39.71308933936741,39.483561190747984,43.64457685505204,41.321958603237405,36.240426485466166,40.72841944335553,44.87147695968915,39.43904921494243,39.22811740343774,43.12996120247956,42.26858895545586,38.248461433340836,40.85060638736518,39.0719467999427,44.62910210234682,40.737727829969465,42.387195157931124,46.4529360865406,49.603331702872886,53.51199487714388,54.35125981200139,55.52084048317005,53.78566766954225,56.081820772201276,53.797701863819206,56.05593291877805,54.52273905498596,48.94504845770668,50.675146863337865,51.94889604692159,47.79552372229242,45.80188030594277,47.84489705909496,46.35004058093798,42.59358150057012,41.1670780986461,41.140290513752426,44.45115890318822,48.028897148277665,49.3730027933081,52.02731280088548,55.66434809218272,52.963723138152545,49.2016893870545,51.7901395571218,53.74264783951701,48.9529712026363,47.85155780588158,51.2108514018921,49.920762936563044,46.53180999071504,50.75788319667065,52.146212872662886,48.280416025961514,48.5493044641083,52.152429208309734,50.00307633284693,52.28688881047604,50.68692132750861,53.037078196967286,51.909856978486864,46.40130024536375,48.47899655940569,49.14766772485885,46.11794451050849,43.552811584870014,48.169298103478546,46.26457168183584,41.18935072206148,42.24489757212306,45.95760911463711,43.55441975463171,39.704874000769884,36.098963458963276,37.05949773517431,33.815896279552234,37.48525381294261,33.42082563785032,35.49376678012456,33.79040350197867,30.25442859488801,30.42922652241417,30.582395969507907,31.2157048791884,35.24660613143151,32.7970175485558,35.63220630968757,32.806908941697316,35.40807334344307,40.26556867940273,43.308446071642116,43.43098329832582,38.53373990664514,40.123771648709095,43.27103275787549,39.428755632435994,37.05062389036337,41.60018217115554,44.04855580590304,45.16419881035525,45.72418323854365,45.698972737026565],[36.532208036539856,34.31325267196813,33.363214060645106,27.84571242308655,28.240509066470754,31.520166801910115,30.52814943742701,34.636348565313725,33.140372214379646,30.770050871280066,33.197375747579905,37.287185595633645,33.66810528519796,30.529011611390715,34.71828323291039,35.96797656452539,31.700671191826025,33.42115052881893,31.084573850453175,34.32454178966145,34.80073471487742,37.637465524016626,36.36877635609106,33.46092380766896,32.952573263221616,30.201403599693098,30.74579413972315,29.7553583865434,33.540364478722466,36.5059824108218,39.1408963605741,41.28071713804649,45.04281371166356,46.409844782307644,43.63995234111053,39.80999052788044,40.73701788142283,37.19296975341537,35.257179655491065,39.879178479636614,34.06110107144648,35.671505434938396,39.76396283300586,37.90931846203295,36.05863427524571,34.34710083326631,37.380306937856375,40.03232556267475,37.902046729556034,39.8600742424936,44.18573710310239,45.032956661930655,47.672622529486674,43.38015556410009,48.798231860833695,49.774745582237124,45.10729046354384,46.5244500965641,50.79176037451263,48.2819684568137,44.79799218867738,47.10767215401552,46.73949209636115,45.66253901202193,42.86478709053183,41.22748600858437,37.5839719961767,37.35067070639793,33.44288375060246,34.20615335813934,31.742863351314647,33.241679568317586,36.71094451935889,37.80428474640473,39.87388092472715,45.20472895250661,43.96587127083332,48.340994847685195,47.06501576300874,46.755190207472715,46.821875805661854,45.10300144528086,45.576145876541,44.59863010346029,40.17543082834763,40.73246667775883,40.94954569643798,44.462877078794115,42.050724212892206,47.161016814635616,44.1373472039841,46.603129742241315,44.81902267492176,44.91035108534576,41.06344421009187,42.19996207309334,38.690389824767976,42.358737641115326,41.41608057313372,45.41030646586412,43.96151011092179,44.81813802156691,43.424512940429956,43.10431499674767,43.41108787567981,40.39127918821449,43.397824599681854,41.083498026450286,38.658849631588005,39.649137166806106,36.00709551258762,33.607197060110295,31.82669207019484,28.659828560321547,27.97500490891758,24.40805086469733,26.002864492475844,22.59268957823877,25.751862380143017,28.367250761402858,25.464192074868294,25.7006080767151,21.470322827115965,23.359803538894738,25.726011803584676,25.616689847302094,30.332571476973037,30.46226040063098,33.12387443016261,36.06597177940168,34.449275140298894,38.69432018393863,36.480528145124175,38.94237818134225,33.163732970391294,30.201423870788766,27.703664701940273,24.28931494244702,20.9434972011422,23.526940219191435,19.556043074074335,22.416385954179777,25.169606864367893,25.922384697376124,29.356208696114482,31.361492545409217,29.298877414922135,32.1165541104013,33.838126813781656,34.118560230998874,37.612046806141066,38.97037071696586,43.916924604933804,45.367548387385575,44.479851787088116,43.64569060859838,40.0086888539418,40.5956765921996,38.55645745449475,37.838732760640916,33.75525637907059,34.6657447670258,29.794779845094247,33.96936984031421,31.752733399586287,27.146957752745546,29.987667532593008,28.298792418274605,27.779961068570312,25.24170054047346,28.211004580947016,27.600994468076813,32.329127987744926,35.353532452148805,37.712884936487136,40.979840119271614,39.93034324987257,45.04910820647145,41.93947688983381,43.440559607363014,39.25267675076015,38.9190205472771,40.47226133083927,40.80743970046077,37.31730939208828,38.39577825869208,36.912075717279514,39.27618143535604,34.10382770274035,36.80874542858941,36.730432349128414,36.04069103681288,35.79447008340772,35.22350278517182,37.11494417377371,38.323021935090274,35.2561554685991,38.66254790301016,37.76114562053955,38.72940102749132,42.25688684727359,42.716029400256645,38.62366073096647,38.79864882278077,42.96236576579233,40.48945736253912,35.698701123925964,40.34123750589948,44.280740623357,38.88145003298463,38.96321998093225,42.88978996504003,41.8000773094163,37.98488445206565,40.90044396988687,39.17610884528042,44.73974634908104,41.13391715614243,42.4650852614008,46.52859904276491,49.71976211410271,53.76332008947867,54.49713107833035,55.36458679681776,53.48469187865919,55.63261762864958,53.10234979692139,55.46122309790918,54.18152650351975,48.4574103317814,50.00628373316675,51.52624974135435,47.50537515179765,45.27155116488169,47.2058894909298,46.11420065323764,42.39385930611725,40.51290063688125,40.52886802423195,43.415276555103674,47.086053742740035,48.46897649113079,50.908153850694866,54.61838261246305,51.66871313082059,47.970940775002546,50.82207684635332,52.5896967985779,47.70547754627004,46.897059093471285,50.24830913462317,48.883393086298675,45.67965221966844,50.066459032206694,51.39963955263162,47.56148588360915,48.07723563091378,51.73722393556992,49.64601385191594,51.816616908460524,50.037021855189444,52.52389741702787,51.638685785432585,46.02654778253274,48.025569383214915,48.98959577710311,46.02520945263921,43.271735341131944,48.062508672040984,46.461868165800965,41.26209189021014,42.147942206278806,46.123971199799286,43.98387477602326,40.06750089608633,36.41055308265436,37.78370961587606,34.594577325262165,38.15382788826118,33.843614210395664,35.52949127875655,33.56442722312324,30.369479082599824,30.442377924461866,30.836133445571477,31.147472310562655,34.943696264609535,32.04354228692175,34.61842582660587,31.529195217502185,34.309858024847045,38.91982263303505,42.09867984544702,41.93458261489665,37.1432304590455,39.07487527090688,42.07302703529351,37.95233506251937,35.97817198816813,40.71486265583606,43.126122606066914,44.30473939097988,44.97079051033889,45.081186758669006],[34.45007237400757,31.94473893940152,30.568130766741692,25.326373589570274,25.259998365499975,29.242261603735997,28.393828986023223,32.60672430456574,31.68828994086389,29.555533403345322,32.34918639830462,36.218229836732874,32.44709165792074,29.819546246302945,34.18556599714307,35.11285654353692,30.784926118769413,32.84604668559153,30.821523624232317,33.63468002914053,34.44213748305653,37.011392519873134,36.0872899520536,33.14963882394839,32.20376451400597,29.611900130366614,29.646147699138936,28.622394479144198,32.46754850487635,35.24219719814171,38.59042968776721,40.164485677939446,44.17221897626215,45.6970072058729,42.62942667714994,38.8524683277128,39.29799989981857,35.80543553411469,33.613547712372025,37.94595053662106,32.33706526474469,34.50586566771222,38.527683813808615,36.56831151486874,34.85418177601674,32.748954866374255,35.8824240827931,38.581361976369735,36.02313909393579,37.76601092263218,42.250148455480165,42.902093676921,45.800149311400084,41.499591038908605,47.041201953519625,48.26298970331755,43.79451775956753,45.26027731130675,49.61450193829878,47.23140859953935,43.98252003437032,46.58057712977279,46.32091834473835,45.55787751025142,42.50137402046579,40.644981371759236,37.52816523713943,37.134621943637974,33.64107919200162,34.37186608192134,32.21191199068113,34.17264133443816,37.26734855041368,38.321966628163906,39.91744735155197,45.32350529282029,43.61981344228073,47.92981870643133,46.316462288770154,45.77680333541431,45.42889684305489,43.385374817729335,43.605986433327374,42.343105191385135,37.96138676164599,38.85907222701412,39.52454153214946,43.04447516173671,41.1305717498153,46.39935205887248,43.70338980089291,46.55340967052968,44.71138923127436,44.583593490194225,40.61142420184525,42.02436182027715,38.39490593118928,41.55525427183899,40.332624429258956,44.05020577183278,42.47006259987107,42.81240162058171,41.43910882827118,40.652002153650656,40.592847932680364,37.45499230071712,40.17357381574128,37.63031880781256,35.224462755832164,36.53865501063201,33.01064576950323,30.840663890664736,29.482546926033645,26.315949416688436,26.303723181386356,22.76193057207261,24.80223728049819,21.468865649461517,25.454515820830025,27.88715126680827,25.127642571282685,25.0369091231487,20.48516715324367,21.87685367755852,23.89864989026909,23.024986249628025,27.586901017788847,27.408052939202545,29.78964636395116,32.76177114412781,30.747332522636356,34.947602713965345,32.764981622936304,35.515678454364625,29.668040647519724,26.952353112960242,24.048486013576955,21.03825721850139,18.032823385183846,21.006024729613692,17.575422164011112,20.741635343188175,23.711856350648123,24.049163314023982,27.528814788039988,29.68409110371701,27.453250673601598,30.23387758455505,31.62771936101959,32.09654553340463,35.30115517525478,37.07792990349141,41.84923546464083,43.64838885388324,42.988853539858106,41.91787681459087,38.32081854506762,38.47668920864771,36.67820307627866,35.36880113249687,31.198550043897136,32.57421717526577,27.4322708900598,31.67920101645222,29.006328259061295,24.295707396748778,26.675067123743403,24.88378121098891,24.021904894414483,21.686545573002483,24.682122635687488,24.498537135661547,29.388589907410278,32.58075490392666,35.207260822604425,38.49578106236713,37.87018583687166,42.81893342420811,39.60874301709775,40.827886669812884,36.47187619801373,35.95000150784883,37.25276835399737,37.51579356275894,34.14073420568857,35.64192905435184,34.57359742043447,36.798910664571245,31.70799364994404,33.97179092589074,33.59967791761297,32.86250674374481,32.239763151792374,31.49808745065525,33.254094708208115,34.284268668530785,31.233757694372052,34.64475265063719,33.75205631253743,34.96444755352211,38.40525540072629,39.117113242237615,35.08549186963828,35.05694819849351,39.3128333341291,37.11122759748446,32.205483614587585,36.78779804494708,40.95654991653878,35.77928831717464,35.77357186334315,39.75467394595427,38.95536469336021,35.210328704186765,37.98164271281154,36.01308779484179,41.56881763336429,37.592934978251215,38.86647819808893,42.98459961587516,45.94596077957337,50.09617755519648,50.64233615854213,51.51088417207037,49.54826626169988,51.655894646511555,49.182326884261826,51.39592119188269,50.07639168516753,44.42960485033319,45.94408379595011,47.32262299057137,43.312605073397286,41.12018281748289,43.01419007552724,41.81895046577649,38.13187277078253,36.305769010072765,36.43798670314055,39.48260858419328,43.11666561515919,44.62911787990949,47.17257727835097,50.96828903839858,48.15890705662688,44.415917734103964,47.25598731537157,49.22989379050108,44.434269395174375,43.519379879383564,47.06003511524654,45.883657073413985,42.5845795134083,46.84495227567286,48.39918235503451,44.755903674885985,45.007540035865546,48.56466919557653,46.298789566848995,48.320705196539535,46.46125908000409,48.773763655909775,47.973837727811336,42.39802804502491,44.19265203828162,45.1085048341837,42.2243291052857,39.33868722376907,43.99805170500778,42.463340357074614,37.29550580204351,38.009590277406296,41.95194220751197,39.90413671760305,36.01829276024755,32.505834617674886,33.86626523253411,30.87118807871225,34.57645957244779,30.38674340809351,32.00412685942015,30.368879240590925,27.105599013463863,26.852607362012392,27.011523294278152,27.1694013080948,31.029405522810734,28.336649688943396,30.87685000701674,28.11342563673395,31.0836741020083,35.770400348579095,38.958816778810856,39.13753108270538,34.30056331938676,36.1754564573504,39.431161526547335,35.55516479481328,33.505793667722486,38.15293931152368,40.808370720348755,41.97988392299894,42.565843448680354,42.73026913277307],[38.66123005824879,36.169207663297726,34.84851124531656,29.803873803230665,29.817619867411903,34.09585477824761,33.38469461520539,37.62550835507226,36.78160224313828,34.63770843161029,37.398991474278155,41.28648341557419,37.426217914999775,34.78845715315015,39.041452326670445,39.94105414657828,35.50969914669078,37.299786805805304,34.86390147024996,37.61352226954603,38.03156939990655,40.33628987652018,39.11740960053085,35.917339148106755,35.37745547038994,33.16937510871926,33.52844790659559,32.91471418319518,36.92657983256826,39.90211125468917,43.19592802271546,44.92123438701821,48.918953723243426,50.2373342371332,47.14028574886703,43.238107424250664,43.79990985072162,39.95751788546044,37.59860263250387,41.558275684997554,35.80859197068081,38.06377966008499,41.862296982211,39.56407320108936,37.44603643120076,35.22515402848101,37.97423661754742,41.086649266936185,38.93070695991913,40.15240634656094,44.85301569167718,45.78979053764725,48.738738977051874,44.73607795551608,50.458180426779755,51.338505428013995,46.897911943188376,48.769909590961014,52.933296061922675,50.15749257278238,47.184362502394755,49.98947545005895,49.99612981183177,48.879238044712174,45.76710965286492,44.27419263671234,41.19999729752805,41.19292326751739,37.656241748545575,38.70467037067319,36.41450148374117,38.18632773274927,41.41123619094669,42.173382875749105,44.077157907557016,49.2746435558273,47.56600101763967,51.991738071549364,50.33716981315016,49.616316222720954,49.46345409464288,47.228060690410686,47.75229854632603,46.22878183804088,41.81206286741944,42.99020125743842,43.51278635535776,47.30544401302691,45.26558724487003,50.69546572532192,48.00981820353906,50.786946681356504,49.14285600145932,49.20584258115796,45.35436808225543,46.791359125422076,43.25171026895672,46.46218165245812,45.32741442260963,49.10023302711482,47.37494525447758,47.709818516246266,46.166287407170955,45.34807847294953,44.94853377312047,41.92520615509498,44.45510187507224,41.69478671287732,39.423183415725795,41.014716998572865,37.61453264984167,35.523576747120266,34.399083687029055,31.15768539366885,31.228288474494928,27.599487918963327,29.425957977185117,25.870509726794978,29.47843128670611,32.32051942641683,29.69082189145818,29.859885683523437,25.388517801202706,26.902505096949458,28.96398969624223,27.862715507260052,32.37154358959606,31.972103419472617,34.10979466114435,36.94736507700125,34.56139457208119,38.584223531113985,36.204617663892016,39.30750827637468,33.41125919038168,31.10492218837346,27.994192235410754,25.270225612319244,22.49252015294799,25.369436337444323,21.638639104253457,24.185549597291395,27.57907013918204,28.224439465212445,31.53546128455584,34.063523958953645,32.00993881162001,34.980516569281924,36.411557011972945,37.06005202846373,40.21381721629594,42.11604097097133,46.83857364624289,48.69520407193962,48.074235338221335,46.94967272100886,43.3275454648324,43.38829830187561,41.53368877184809,40.05482841143002,35.676859097263716,36.96593148972776,31.59636732128192,35.61681681893721,32.515111632332385,27.648294280121547,29.762826452796013,27.366501779612467,26.73814090724521,24.98840360642661,28.15838104092089,28.398210983458718,33.23822809989478,36.61097168754115,39.40566087803498,42.852661408624165,42.412001637356795,47.20664495249666,43.74455754503128,44.91386022564853,40.28235493384367,40.09457618553595,40.90266179015431,40.817516341925575,37.5272956256707,38.87354970698514,37.96674238794858,39.67590020652802,34.22222218719469,36.46816605677274,35.809247946571105,35.63220487329222,34.89247568632132,34.37319212235936,36.16231603256856,37.07855236485508,34.389918640920946,37.89753287481438,37.11126129798557,38.76779360166753,42.00746524704789,43.09241742309696,39.15870988272076,38.7362159535011,43.057201563707956,41.17407193734219,36.00550668879739,40.38901518151563,44.862968585520164,39.785865932741984,39.471365736381294,43.439014593968665,42.96526115111512,39.05145258651652,41.43763449814618,39.31860467103618,44.848375917599874,40.30393223276717,41.93993121143232,46.088421328020985,48.80062889351487,52.859913474686564,53.359135716523504,54.56661338401837,52.6467068847522,54.80525302841179,52.569042063669094,54.466066903495765,52.929492645706034,47.55108100735602,49.07072592737148,49.986469413365306,45.957700435565556,44.01411363979702,45.76199282794325,44.07058680904679,40.529625685824456,39.0342666868985,39.5437012981972,42.94034529419147,46.48819824085628,48.232947256916184,50.9489677653893,54.83118832637127,52.233474342236235,48.45128283059619,51.20036548664291,53.420478263498566,48.73871204921886,47.62732263803717,51.2819548232265,50.24834903775645,46.7980203763799,50.86825448101758,52.564258815907046,48.97722119809589,48.9260094541818,52.37795473046785,49.97281927320427,51.99479521437123,50.21874396654535,52.263034895380294,51.33906206435059,45.90769299114292,47.56391427529044,48.15680874754042,45.30252232127603,42.46554179152207,46.745434543861606,44.95925141380174,40.012436371814694,40.63639961919471,44.17699060746114,41.93506343377313,38.218955190288824,35.004897773741575,35.667210659281345,32.83336677124507,36.85468331628039,33.14273275407929,35.20669104599227,34.04603543254842,30.383209893082977,30.06323500519571,29.711117360246178,30.09480903886534,34.249014184019856,32.1426159099252,34.73318910655989,32.39733854157088,35.420047787806126,40.224138976295166,43.358340564851495,43.80976854315268,38.937524249880475,40.61771510607717,44.03487931015851,40.36584372147892,38.0918459437365,42.57918358525523,45.28971057506616,46.39080561949094,46.84450172485969,46.864071040941816],[40.75272170677331,38.26757568842709,36.833161994306806,31.613472435053346,31.2861466550693,35.26090274733428,34.11319698090207,38.152804413747155,37.07862704041964,34.48837268648237,37.03073280138015,40.996428884623725,36.87180328651755,34.11780273282359,38.04647990271413,38.93518329977896,34.37536548737683,35.715944879896774,32.82635724430994,35.64115006589676,35.68418234638189,37.93934462252206,36.45432274133087,33.17490937889247,32.98442427381768,30.91269256739478,31.687227356161415,31.400659152981532,35.52265062661414,38.80461387923123,41.76021136852913,43.875138753368994,47.75335322129581,48.740384803464664,45.72985691356209,41.68779130333116,42.60508693024814,38.43089187781526,36.1154848723842,40.054545575655226,34.1024477817275,36.04952685195788,39.76772452243873,37.40201711854119,35.08234606121901,33.1002219539551,35.69233686107803,38.84766916119504,37.11289592273271,38.37279315306598,42.98208319998902,44.15574414635149,46.90848509822613,43.020417321252786,48.7215491780876,49.29551897734964,44.74152054983074,46.7568689020925,50.77821261564683,47.78360125970522,44.79717473613179,47.56223690909455,47.675365155127494,46.26139968591514,43.2189956328833,42.006096632051324,38.80322529270757,39.12067115384805,35.50191459502323,36.87813643081018,34.469802209920786,36.08512210589897,39.363738814773,39.82771510241467,42.03720292348539,47.01470101024639,45.41265425278784,49.93380917363516,48.37284911093029,47.63391100799349,47.83338452150529,45.685654971679945,46.60280915854684,45.13582474156061,40.66329407207852,41.758610985090016,41.881590532100915,45.866328562992614,43.4742156132267,48.96101739661552,46.18725063222339,48.8031789277233,47.39149446354864,47.73139156613341,44.10065809030504,45.577322809888756,42.25259969801861,45.57815230270707,44.74490708251297,48.834839262008536,46.78097117046604,47.54672751340864,45.64399127695134,45.28855830466936,44.86637789161211,42.19552496786536,45.00817744271458,42.38504220188289,40.380186063062396,41.737076669527184,38.44948914668457,35.887858009201565,34.72076814004267,31.18807294679023,30.80536756785542,27.00688524493471,28.30328930755992,24.505332624773544,27.484231750206707,30.730361435799598,28.265062068926905,28.87953899440122,24.667604188132522,26.63497257560626,29.15749154530402,28.237616608627498,33.198628370604496,32.62721061481667,34.93950062697828,37.42721597314417,35.465474214460656,39.40830627701286,36.73105144047724,39.574721268014216,33.72814100879591,31.3728360293448,28.845076104210463,25.57169680486003,22.525889420231387,24.889346286906875,20.507577526308033,22.487721395577474,25.9533034444873,27.06157656467833,30.211835678991612,32.91876564230426,31.161087817395483,34.39668886807487,36.1906892832296,37.072223370286935,40.53010403851987,42.41320092803571,47.19479460114462,49.17696115251448,48.18492301551751,46.93271865875119,43.14854279405844,43.39049546777916,41.13566337025857,39.97963267294269,35.381197643807326,36.12992758829845,30.799966510972574,34.594441872338194,31.69318763400954,26.87148222554653,29.437571753568573,27.03524900034237,26.981823242449323,25.09143182832933,28.316461957514967,28.20344564155359,32.82017954980689,36.13282339959555,38.778608157250794,42.355176236441544,41.70638996742783,46.4907285196494,42.89655091648534,44.3105698371221,39.663561088836666,39.96987280435864,40.73451261680471,40.55970913619568,37.1498080575255,37.939059627136544,36.6980825744083,38.348970358532554,32.744039539442234,35.418613367544744,35.057040950618514,35.03953558044785,34.78996113735515,34.615342508386526,36.68502272872445,37.98499783184715,35.49453982561908,39.16917113827907,38.72135727450004,40.168079517106456,43.72837170031246,44.66206190767474,40.695065828413775,40.69143042789276,45.04155906261931,43.04828491857604,38.166126753673396,42.69447465644636,46.9977765644344,41.95958912609214,41.915504944451854,45.90949471680204,45.219658124139734,41.4782419300636,44.142985281397294,42.075007542232655,47.61669582717785,43.27163537990949,44.65367630079929,48.80920448060954,51.512255575300905,55.697300153992614,56.06803840746784,57.01544190146264,54.924348408619984,56.9055425344151,54.419842559184744,56.32913250257863,55.05836751600433,49.582541742570676,50.84751928315954,51.91485809862106,48.0669168814799,45.88625339508931,47.40576391564804,46.07812485928603,42.65625933747897,40.63997477487936,41.3860875557734,44.313520319059805,47.96689872480134,49.86956235304457,52.34573822520174,56.37194374551334,53.49194109877172,49.78502980509238,52.875269655111566,54.920895145713935,50.13979180923163,49.364841888742944,53.03691409782283,51.93336553386848,48.67912312242962,52.911360571541024,54.56041141458169,50.995733666713974,51.18906878609741,54.695154509456714,52.33404879000865,54.23078988137537,52.255103547063904,54.396397567571135,53.7357097266118,48.21317848068685,49.732680257058746,50.59725594952644,47.82925881971042,44.771473363834154,49.14700543217921,47.65600708067923,42.626443676102625,43.00145054137963,46.73444640514245,44.75441475843851,41.015532360400414,37.831449323709194,38.755436478714785,36.01851943465642,40.00211342428733,36.12980855790239,37.88991092182238,36.51625985400442,33.13161261289778,32.714494856964656,32.51757511356242,32.58885841618316,36.54610228470989,34.03364219288588,36.291178087378306,33.727231114093186,37.01188616866096,41.52418482678562,44.83003235593868,44.956177758004706,40.21557419452423,42.289548206078706,45.54148241358741,41.54245524325358,39.721456708012006,44.41154898106134,47.057146751828625,48.21404839816549,48.764544960168344,48.883748829616216],[38.49930962354276,35.834380339634706,33.98031913908154,28.841860382650378,27.83132344649608,31.873857911688194,30.4116775687873,34.290854486170595,33.44740340451068,30.690588633556036,33.32888241939874,37.151452251638325,32.75356754487832,30.329148636238926,34.167100393403565,34.800470298248534,30.150404641956186,31.53645503065714,28.758242738656346,31.315013043611586,31.562366877369108,33.720798726879984,32.493838554055195,29.2753568133774,28.732183240167664,26.664760593132282,27.166275128508406,26.90413478012745,31.081593252623062,34.352930185007224,37.637328876951884,39.52474208957304,43.50543957218223,44.47176969354564,41.304677710232255,37.26229076137638,38.010794058270676,33.797251583320325,31.392728002442364,35.290529684416676,29.408975574267256,31.534084187817385,35.27496809479009,32.958800935876745,30.831046231100533,28.75924240695782,31.568494993785166,34.557483087847054,32.54056250355063,33.964636858023816,38.52604600683975,39.552189515903834,42.347742228016884,38.35489507771944,44.05529596925058,44.79879482222921,40.2941295741893,42.22486155816055,46.33285283355253,43.50591977329142,40.52887486187038,43.38662362749049,43.510159135210216,42.33995428263605,39.16051279622091,37.75804915344614,34.85665592649579,35.06984156075351,31.74658547754261,33.17428104647459,30.992808047356874,32.97304853492185,35.914185158555114,36.290215648723496,38.17145693173103,43.17130367092849,41.269797048693626,45.750740606482026,44.00658442272173,43.16922078479857,43.19100834264895,40.95079153777627,41.80565834562574,40.29180937692836,35.82397819648606,36.979517015346694,37.22837133387596,41.22440446088907,39.02944171813158,44.60572425886137,42.0215424170592,44.86991125591045,43.475422351640205,43.74639809651265,40.12498818490295,41.83911694195278,38.54626009012014,41.52512190493898,40.668386629772066,44.75055378127104,42.410174194353154,43.116411370511834,41.03145105073689,40.70000402584223,40.13871974456943,37.62375121771892,40.51857782798539,37.95078294808764,36.138721279803754,37.40966349941,34.280449320184836,31.480427196131785,30.517979815932737,26.799280565806207,26.51330661684219,22.654883779635377,23.925167055471913,20.09105896957399,23.416099187607998,26.63353223599458,24.359435690626523,24.96431784887983,20.727862964751786,22.639823083030777,25.26120949230366,24.018060194298105,29.210700471083893,28.343914698906662,30.667621747355586,32.90944319371826,31.19036299142302,35.078705187017114,32.28508577240384,34.95361698820341,29.149354801193265,26.777269248415816,24.584888482673573,21.04493492955569,17.975321258866796,20.156529690779237,15.752233955852237,17.784651467269676,21.29638580774278,22.311932957645247,25.447040219796865,28.24120013743911,26.517581683837594,29.84850661923928,31.66538371453544,32.80752395636093,36.29308344340872,38.41447032130919,43.095393058388176,45.41227381141801,44.28536313186215,42.776844066119416,38.924755246940265,39.02084518240627,36.66283055050038,35.39496910421371,30.663873759798324,31.366033239220872,25.971037122089694,29.743981466028785,26.857322842577542,22.06150010542866,24.778807914096976,22.59654342278764,22.651655776670108,20.53375193136346,23.728668114307002,23.44465099295768,28.00101550985176,31.300371914815667,33.947273604037214,37.5604502625207,36.9884666909266,41.700397988376444,38.05354200157532,39.463374147742144,34.8150905191148,35.20941131313104,35.98457931152133,35.85898491489041,32.40231218290049,33.162622693404636,31.90151018561561,33.68685095048345,28.212107709926286,30.882079934067587,30.675084959609038,30.438169056019444,30.346797479012483,30.207737147430247,32.38129046606243,33.91016204752993,31.445352565870298,35.188843249581744,34.98860918346309,36.2298363973861,40.05149812365451,40.87347041676694,36.92101805064752,37.29189157275629,41.66093822441654,39.66143092409888,35.11348648697683,39.74417414224297,43.897423088514316,39.07325676202753,39.32434553925457,43.34076676345358,42.55555421760024,39.12986766630549,42.051496821000825,39.9323022146218,45.42826786269345,41.26445140729917,42.219736547278266,46.36997935636946,48.98653745446404,53.36822715956831,53.51477080202169,54.08873730938348,51.79119795356387,53.565595720039184,50.82326107699956,52.777491768421505,51.797857634304876,46.20587927532201,47.230609809678256,48.53167926771138,44.86586894444615,42.420623648478,43.78749109895678,42.92096332188071,39.57094149333462,37.0292107523066,37.87638183474126,40.3488868227783,44.07820770339047,46.08573355313448,48.34980005776608,52.491176008035204,49.40742965691854,45.767454325557594,49.14915241078313,51.08245767416596,46.266513164546346,45.78317772837446,49.533277947773,48.459109285404544,45.389195975893585,49.709533093162975,51.41114882724563,48.015556772655025,48.34367757000488,51.836124489030055,49.460499448784496,51.1289869202846,48.90662915162216,51.10534161529502,50.78370652458788,45.19103701765701,46.49561808544971,47.688342619073254,45.05842301244072,41.724604195038935,46.22053873527004,45.145470449281575,40.014071501598345,40.09342977277008,44.11712564876194,42.520941174977835,38.74066584388584,35.59263264250929,37.01833897629948,34.46712293263018,38.33904544866449,34.27581018929423,35.514536631824306,34.03363569662707,31.062125611226776,30.350698052956535,30.31857862755139,29.911276221718836,33.56061633084236,30.647645301417132,32.52820508252423,29.871865888470026,33.46037414239549,37.6693770740276,41.11723497144282,41.11295709429149,36.513038350608475,38.93881747319996,42.14162788750856,38.004780058841334,36.633322424316816,41.43687446056726,44.161774431677344,45.37969013819415,46.00331627456491,46.308260335696026],[39.15488874521189,36.34563760620417,34.359885827818765,29.61473863301976,28.608082181423104,33.38930340411101,32.3670738844028,36.426133708646745,36.069087382959786,33.723587714529856,36.643055766877495,40.30486287850647,35.971738678325245,33.87445555395054,37.912266758334724,38.37763190642371,33.75720363126632,35.41044139161249,32.840773345818974,35.06668203951532,35.44863287140221,37.28306555697607,36.21008664748125,32.88325378870061,32.19096961769224,30.432538776216123,30.61836367905416,30.41221940182689,34.60142743944816,37.67820009353824,41.47235320531186,42.91707556186409,47.066571430520845,48.17547646393623,44.8017492903238,40.82174935731022,41.166953133691166,36.98881175915876,34.32777041097362,37.75600653146301,32.09297406355557,34.76089470149786,38.30214095653847,35.74649553495101,33.54817716196842,31.034040480968727,33.66329870682448,36.93694273976,34.734485919799894,35.58669722208548,40.426276943975054,41.399830373717386,44.4847206355549,40.672855039090095,46.544585320552095,47.358761728942405,43.09358038638665,45.24438042403895,49.31780852889936,46.430282491838504,43.81826150840357,46.981666227881256,47.28557415950762,46.22426703064732,42.85305842781657,41.43292410343638,38.942825592272655,39.13211342800515,36.06305396305794,37.45587941101076,35.4185071761445,37.55775705486927,40.36879500992356,40.724558135285065,42.37848218048615,47.37740244706358,45.18546156375043,49.621041114711204,47.62688148046855,46.55656625835523,46.27366937222722,43.67869142631583,44.36093399362876,42.47199017500025,38.076177499548315,39.67065572870767,40.31303085646559,44.35050060182899,42.571557852733335,48.263244895329976,45.92685598127442,49.000276554414015,47.572554715723,47.687830909190914,43.96576321588004,45.79308289186465,42.380184876967846,45.06032737703253,43.936269905789,47.70016654568977,45.408310866500756,45.567954299877805,43.60875356153521,42.71705884811862,41.723308976971815,39.02382637475323,41.434821111371654,38.50457238583509,36.655855382923725,38.44568014343452,35.421646298638315,33.11029895767552,32.57297528107721,29.024874772479613,29.44386517255186,25.711986972660508,27.405730410239585,23.711804846284746,27.5325366722593,30.604360137218798,28.39458737807666,28.700486018505874,24.24677825674004,25.662994610223905,27.800674220778337,25.912022783463044,30.65142968284529,29.570781471503413,31.434486558412054,33.79023515797048,31.315261957089255,35.071966418108005,32.330802174143244,35.58313878940115,29.706939629745282,27.8455487831311,24.91169281204172,22.221579430055694,19.759054748290048,22.40049428303987,18.67613045153673,20.74553294752263,24.532458225761932,25.201786978635763,28.285178942527473,31.26170843685296,29.401176481631882,32.62443147244547,34.03934536489049,35.245075278804094,38.330239661571994,40.75862646501312,45.26186250311369,47.71789230137567,46.9626880563144,45.37902604084656,41.64850542453145,41.340372056304574,39.33677723098362,37.43800022502787,32.68955138140078,33.92858872174457,28.2645179938254,32.00534373758497,28.432828054562645,23.496818523812404,25.37529982945038,22.65667266984378,22.318347780902847,20.92519630668456,24.203263620757284,24.746398721648628,29.446193659904736,32.98353634408593,35.97739012776646,39.60737724542188,39.537812710772684,44.01782532912546,40.240691396741,41.29091803099397,36.3853939673873,36.609370034844815,36.88696058759099,36.506959105095305,33.28139614334488,34.51905309107685,33.854528957006025,35.17590214944177,29.623700625035717,31.70394899544883,30.898242361549237,30.981883030317356,30.259354551277998,29.98267042123658,31.92497988770319,33.03319354708177,30.755272251809046,34.47574294582115,34.18270046036909,36.01144998347079,39.45329573078122,40.77608155362777,36.959277981698705,36.7026200981954,41.149313062414045,39.59847515726437,34.662192970562536,39.03231680051407,43.612669944961,38.97833370984026,38.829653432162466,42.84669363035749,42.5619531758057,38.9833352874017,41.41835475940766,39.03392332827257,44.48870581791906,39.62667375328379,40.910298226113696,45.10351596076121,47.40396834179404,51.72371250365721,51.78102544395184,52.717984219577424,50.48395747891674,52.355049779986174,49.94475320618988,51.573640187269326,50.282470986163474,44.983923874533765,46.1168604134545,46.91591076047579,43.1567298438036,41.03715463502639,42.38448151332758,40.90570492300646,37.62910001193575,35.62423317702953,36.707300216706976,39.777193646392924,43.35815024837151,45.52862031184376,48.10416657740087,52.277420515101845,49.58369486437183,45.85481712059737,48.97659524873367,51.29546793558008,46.674912572203525,45.810766703271966,49.735043976857696,48.90786681994629,45.58008112374144,49.60275704777839,51.552009038899584,48.30051780879161,48.1430979859963,51.47036686305963,48.876858372634764,50.51666758540085,48.40899386416622,50.261268783571744,49.774371576628766,44.3581592470139,45.505408323542596,46.30498008180613,43.70875119735456,40.437557556467084,44.527693205694526,43.18037191521315,38.271585888434004,38.28903142584511,41.90950906827673,40.120774184969385,36.4969580731549,33.650228113781466,34.46227253970486,32.12462052587807,36.31181137068881,32.73673827300545,34.37223380713304,33.52453096955673,30.121255196866297,29.209052623392257,28.599219919483126,28.391198809430364,32.3738318990718,30.225042194692048,32.2899862674599,30.27706136379357,33.850040177631826,38.3341274332994,41.64327977448661,42.20340844120572,37.494914555962254,39.52667970773323,43.066805022941516,39.40204098012152,37.583770098703084,42.10856158368743,45.03645222957289,46.17288741181212,46.61296145682586,46.80654166947297],[42.14135321239408,39.41263694288352,37.61930015338997,32.91053790605554,32.212158619050285,37.03129058573142,36.163317807234094,40.28731174662514,39.848252085016156,37.53989916024275,40.40334819483839,44.13782078272802,39.86460833711954,37.62135756872623,41.646120690696314,42.20197688968723,37.57058420533359,39.08630782414544,36.30109181535709,38.604960979660056,38.73969637375392,40.497579471469685,39.198149180434825,35.750361311848685,35.376209522327386,33.77670734094752,34.21494184561798,34.16465902110362,38.39334317860243,41.56300940105184,45.19157788772569,46.800097475424835,50.90169153636185,51.92302320131247,48.60138403923094,44.568656712598454,45.041604061640186,40.7346903213509,38.05611262444797,41.34236202245549,35.60944825215649,38.20996693664559,41.63563156408743,38.92859006414572,36.487810033959384,33.99001838032049,36.33975774017019,39.839756666001016,37.95508275840341,38.514768366578664,43.43219173708429,44.59445133047912,47.661504556242,44.04146896953916,49.96591735119139,50.55180059236031,46.291311114442706,48.647468815306,52.58918657321314,49.4665549476546,46.980090754662,50.18954152966734,50.6074827449396,49.29783621131118,45.96177557982846,44.77848136986013,42.19205579247044,42.58626907305854,39.38754088464964,40.89451126678966,38.71841789331704,40.64770968291357,43.633996319881796,43.89638436140997,45.80388137398329,50.70014575283773,48.62119207170883,53.119188317440454,51.180909912837855,50.07286138206534,49.95331713277962,47.324534320796275,48.172562746801674,46.20551739330918,41.80662610146247,43.476459511484265,43.99003781176548,48.13295715630871,46.215038171798284,51.93506549264037,49.52982183190025,52.48111094516537,51.13562874739346,51.362644831724644,47.69052868407527,49.44081521618083,46.05403022126289,48.89317026340576,47.82360013192479,51.627065550818905,49.37646331205546,49.576774788316,47.60888098926056,46.721133590782614,45.65385773220482,42.96348632926306,45.27588583593351,42.258888750429286,40.40563936915803,42.31391581396778,39.28677342113855,37.08251231827131,36.53345370672442,33.02734705316793,33.39547895897219,29.64719088167523,31.24563311711027,27.47882750109089,30.991376199585638,34.23859095407329,32.001502796160466,32.4222565518327,28.007984222755095,29.522863715157705,31.667811205020552,29.872809899450537,34.51370464265595,33.4841808336326,35.263181920493025,37.63943587830317,34.97104108511848,38.64629800469845,35.88369845954255,39.30288682594791,33.44230788002853,31.743975113359994,28.670226987004202,26.170235442754304,23.77286851470812,26.393499540607305,22.5389721741287,24.333389079197655,28.215996371832734,29.063655446401796,32.071554485576506,35.14339641807077,33.353195150003984,36.61365498734784,38.05425432786843,39.22521065637604,42.29702977538385,44.670560403195836,49.19810337741698,51.55004173654026,50.84629010162858,49.33714754110208,45.61609785110578,45.34111521213399,43.33864877555286,41.446074758224526,36.679459571250625,37.865949296462546,32.17587699908191,35.8092319753286,32.11372981101123,27.172608227253995,28.905573222061108,25.909199361774146,25.671900147094338,24.603371095188766,27.902912782902472,28.622959182426936,33.26865112556293,36.848343071180906,39.87894148428741,43.548721417154816,43.506001807130914,47.94654715902343,44.094329921434564,45.13679597918405,40.144779278925135,40.491011286955434,40.56817300918121,40.0244495944464,36.87058283393137,38.01087438004466,37.40169553285019,38.445699350328546,32.7274373847995,34.809620898407694,33.8461150772625,34.268499365359226,33.47427807089215,33.30193706169064,35.20855829804355,36.18366639739885,34.08201205037351,37.78213252079554,37.44846061473915,39.512130210829106,42.76007333929633,44.263793587541514,40.49594187845525,39.95372087178453,44.39539093918589,42.97479607988544,37.836535176790406,42.07038559566597,46.807638374742986,42.14387384595261,41.76709069763644,45.756292478449645,45.6322554987656,41.87806274747766,44.061103274631755,41.646471499416336,47.086905430618465,41.94153580959416,43.531109655447125,47.72005106987794,49.93464708011206,54.12715226560837,54.24147960871541,55.45975606409634,53.32714192250377,55.28659258437397,53.0813293478147,54.54525260410677,53.060313558289614,47.94951123091978,49.163026181930256,49.6660028840414,45.85765217928119,43.95773069627579,45.282471196851354,43.422647957764376,40.216282263670216,38.56457767992848,39.7675407961315,43.12418972873411,46.620693704668206,48.84313486122288,51.554612169835,55.71076860449397,53.182990290966686,49.42719080489418,52.399384727753144,54.85069474347336,50.2989422982732,49.255753385618775,53.186069107471816,52.40456847188841,48.95779630602353,52.86480889122567,54.846703901935584,51.55899065368303,51.234282925621315,54.516889014082224,51.87846809891104,53.59753245814698,51.62058667540893,53.33317468045678,52.672573886369165,47.36298580141386,48.52635916892245,49.06442968567231,46.44263697314875,43.31160980269226,47.168728876195004,45.566452130548434,40.82352338484998,40.91047697087877,44.216943531548054,42.212618620325266,38.71025980338719,36.00461791975786,36.31289785388564,34.00024725531685,38.33353344171588,35.05619021776592,37.05946847533288,36.43541625628261,32.74328976125552,31.93350795214986,31.070172931452035,31.14297761258434,35.319641764114735,33.56051029818195,35.77251553200957,33.950979887707675,37.40678286534068,42.02822156321902,45.256713526108456,45.957674785929974,41.19400881769709,43.022962736880864,46.63005269738221,43.087348009550745,41.02669626827442,45.44875137019726,48.35805901271469,49.4410937535489,49.79918311517985,49.8652929380176],[39.66402069334382,36.90374266515653,35.138910886402265,30.66533578404407,30.162128491419846,35.259096607170726,34.75808914686941,39.01468015367152,38.830309606541576,36.922582290242225,39.9800176218394,43.60259769332264,39.56039646219179,37.4774412604694,41.76418317152025,42.29970604732963,37.802421609697,39.73359895993757,37.40127843595439,39.629334637402586,40.15131884732227,41.97760980272089,40.969628911653565,37.637511092599645,36.88349864769113,35.11832076174354,35.13652460370139,34.758804853968314,38.85903055429775,41.72184788652523,45.679445886536826,46.89544377171922,51.10472396411974,52.437731964921376,49.03268445201418,45.1495399334035,45.27095948547863,41.30965661798806,38.611240901616455,41.935501919357556,36.436265977445274,39.30702007622225,42.823135379759584,40.2329546723171,38.052046025834876,35.36040499064943,37.91572894995089,41.290854579298994,38.95113769113867,39.55354256559994,44.50502483332255,45.39303144359502,48.63249412185634,44.87192508602654,50.777657425770194,51.701253853562605,47.555184094271404,49.71828939126339,53.81159519435743,50.95828594279337,48.45230203962147,51.67241091723116,51.963504297626145,50.98153812976982,47.585230615857576,46.09526471467802,43.64230177937342,43.70094697183626,40.60730185348772,41.80119111760373,39.76314010478841,41.869850866572634,44.76616646387487,45.30912245303883,46.88908350668138,51.99670372345267,49.80135427689329,54.19080944341816,52.159605847858764,51.080853959157125,50.60289878631476,47.91167106352367,48.35705253173959,46.36027402139585,42.03585245718381,43.757253852636545,44.662267671864534,48.59136490731155,47.03006396843072,52.67779345121976,50.37396687699004,53.492675731068246,51.92580980297096,51.88176452588825,48.01332965331687,49.74811167764584,46.17875615719842,48.85920176716567,47.511121911815344,51.00448929610367,49.03544015191403,48.825599569362325,47.1870833749508,45.87007735123553,44.82673452383555,41.82376249368627,43.86805046781392,40.74280362865016,38.660129699349376,40.77321250372181,37.67625063343903,35.90479086633304,35.42859528016518,32.20099618364126,32.99694319938121,29.434989742938455,31.49926389980818,27.988048992227185,32.074594440409314,34.921333496661646,32.562177429957686,32.578434637346604,27.973241828765925,29.059113817630735,30.77336515141537,28.7778039854887,32.976214916690566,32.07167953162747,33.66723624082688,36.33920066187997,33.30497156467383,37.03867979699188,34.579569651474586,38.20357699209362,32.33501342385473,30.684624127507686,27.106093445819116,25.146309458855185,23.04280043273721,26.09043845794555,22.899371322033332,25.231442758218765,28.974721007842817,29.36778691280515,32.51016473797402,35.3766388272601,33.32101973915575,36.31440272262378,37.40810446015023,38.38317888481474,41.1539972979029,43.56692483524603,48.00281936147499,50.27831030695679,49.90275500359163,48.48268544030741,44.920619682083256,44.460199671594175,42.83149505315231,40.637042730414585,36.10097232474993,37.78829442319316,32.109397497871356,35.943145788879015,32.11947678169995,27.194282905284872,28.501827620127344,25.607738784996325,24.77642631068954,23.81266040145022,27.009321062612543,28.03545393637231,32.853040505821106,36.45390216589001,39.59855890802941,43.120797139238924,43.272501067388404,47.70582771591075,44.005969745551916,44.81408490278413,39.880268107986,39.73623088545888,39.88522344322985,39.46217706757528,36.431009688491066,38.11824968006995,37.81294040173759,38.974716578614384,33.486708921596154,35.14509417706342,33.94042677650117,34.123131619587845,32.86857256445291,32.33374485219518,33.954149268209015,34.565556953835404,32.25886301721586,35.783382093772126,35.14383248204804,37.378998132311224,40.33887169889326,41.97056039264261,38.25250851546667,37.355974664615914,41.76117140136774,40.45874189467116,35.114253730770315,39.20405434153563,44.075803123547125,39.43623965461203,38.84642084732049,42.80218159072792,42.88139716399863,39.03775240329041,40.98121899371983,38.502599181740536,43.9071734010608,38.58910863995691,40.347446772273756,44.524352474169966,46.723167767226315,50.82713080684574,51.02553483888139,52.4316145103036,50.432147507454424,52.53065295746462,50.52833259533674,51.99345383677702,50.296106164450485,45.261359804059104,46.689702090257306,47.088543645150665,43.12752577504596,41.42156522357344,42.957281684517056,40.811947302538535,37.49187521046167,36.28797285636161,37.25835662476993,41.006428395512266,44.402278886586615,46.47472334658887,49.38268497567294,53.40539667477243,51.12369246098216,47.314357554720736,49.9921843768018,52.58824801105991,48.1383350410155,46.81954871311485,50.73683162581439,50.03133521983016,46.43693048609288,50.190329857286216,52.224848078522726,48.9581967484265,48.417693997727596,51.63593695356063,48.954300870189726,50.748777003714565,48.926071329700356,50.550865738518006,49.693000627358565,44.468801555769446,45.72427273520937,46.05056666917417,43.37209235272796,40.41197359788971,44.19077548530151,42.36887804830275,37.692918309187824,37.97272779550254,41.13733935366612,38.93899059078382,35.449670635223626,32.731900568169046,32.8590315242265,30.498463054723352,34.86477766153846,31.734450793368623,33.93828561121703,33.53351366312784,29.655593460191977,28.86411965362527,27.845423615576806,28.140143515907656,32.45679085367032,31.059798210370644,33.52705850251976,31.937108997886014,35.17060545348724,40.00111824598884,43.0720918109022,44.065188993385114,39.22209077172164,40.72149546368586,44.46605588435684,41.235699604093895,38.83286610478204,43.05547809015533,46.03445283183897,47.07063056640258,47.34766757945841,47.354596566439014],[39.974602734785805,37.453404872409536,36.18707851444219,31.626224038271275,31.87992430821135,36.6971983671693,36.49949770295226,40.88883553542655,40.43970337899035,38.744871642107604,41.720546722996865,45.46482714420784,41.768894733191274,39.366686633018475,43.81351117006613,44.62203707105151,40.25793124909928,42.30352885761314,40.06867558114458,42.60701097826554,43.15388674936461,45.2514418291511,44.14884275956761,40.871302576453935,40.21649706232927,38.19773744980708,38.31074085340791,37.686368043320364,41.67915466309625,44.457600393508,48.13614913343956,49.490320713966945,53.615376443413524,55.10751360786796,51.86465502934773,48.03694186051295,48.26008286207729,44.515930686500006,41.98206242547476,45.60527931338715,40.053849300952194,42.714873216291565,46.380796051389915,43.91791804878013,41.76137085706152,39.21081310570869,41.81923371241274,45.13973024956374,42.823473880540504,43.59842276974139,48.50056187605453,49.371335650166756,52.557119706217506,48.69254267100974,54.53125841268104,55.49663305412022,51.252431963627096,53.27083329576184,57.4208540876245,54.616321915068006,51.91380870050317,54.939035818120026,55.059703827289745,54.03880794299614,50.78836556810362,49.25855734662546,46.458415786041265,46.39650141129462,43.017560339007886,43.98668089137863,41.79469928460734,43.66490998541999,46.82506328414596,47.63063413674775,49.362154581107156,54.59943552879653,52.69693785502245,57.08151606447597,55.24895523704818,54.373539448862374,53.95353570693044,51.455591916548045,51.782682443236105,49.98094212873591,45.64611724085475,47.14582250233715,48.01101791718212,51.791610995867565,50.09737360406773,55.59030836339422,53.077169001318964,56.01967344490691,54.30498443402903,54.20876678415124,50.242596146039325,51.72064156046827,48.053920675147744,51.057770041635024,49.66706061805772,53.11298987382021,51.5517642656334,51.38474413687472,50.0544451051791,48.71120120662081,48.01800051713908,44.77018096103981,46.81861689188639,43.76631872821185,41.387158220985334,43.433813201804256,40.10093238017135,38.56436871980775,37.745930099380665,34.76187376009019,35.40746662342603,31.935066957010665,34.12009852697421,30.703221913570726,34.690606562911604,37.38782683297593,34.768224254221344,34.668161794733294,30.046525243559568,31.137408116436838,32.73020197927703,31.1926925475528,35.14222016825719,34.68479884136733,36.394719402055806,39.404160184231614,36.33750214807591,40.216807025601774,38.02698015644421,41.61632139833898,35.74292231883921,33.86273978833043,30.096446582639697,28.22064806269194,25.980966445739888,29.203575457345814,26.040385214007472,28.65242310961301,32.20132661013727,32.563376396148726,35.848032495246905,38.454504352998704,36.26239331328766,39.079259679449684,40.13440932988273,40.73602260556032,43.4866932749004,45.568310404284496,50.11735707279488,51.97702814544552,51.76342267379314,50.66285940529987,47.20364488461675,46.94210462688234,45.4693872515632,43.48085278268558,39.198219048345734,40.97640470819174,35.455740883006726,39.46752754284804,35.87311995231028,30.96972523215266,32.361296336241246,29.622790069039173,28.585375713679817,27.463432889660766,30.589918109987796,31.49692678615894,36.41427798313988,39.933107778152845,42.9854792130543,46.38815005202192,46.35237629233652,50.96895010115823,47.461707613291004,48.30611871464464,43.52257131416316,43.085914412516075,43.526791571780706,43.267291963818195,40.223516642460076,42.02786704409687,41.62399803004114,42.98205972090323,37.529981389573564,39.24869406910988,38.078293011450405,38.13567864263581,36.80763743335007,36.10165113851453,37.58224577891263,37.99637451930692,35.447285219627396,38.79029752883868,37.78095245624042,39.979759746126234,42.69855596990546,44.24062890571721,40.486106513594244,39.34961552644168,43.64157753083944,42.190839271659335,36.6335080649192,40.63701817153291,45.48625534529478,40.582780213141646,39.77540144666174,43.65925800416331,43.71019842467183,39.59822594221039,41.36128707485865,39.04914871484712,44.45733815623038,39.25546399045277,41.36867545840905,45.48753585998555,47.91964370898072,51.77130754051837,52.30199848053633,54.00558847203579,52.2771741448466,54.60941616564258,52.82335140758992,54.41432370685783,52.46824533486706,47.468271431612465,49.20460499666728,49.58124830796446,45.42035899497115,43.93140607275282,45.75256278814888,43.33312526373145,39.85651942872661,39.157316535290384,39.73892938702991,43.81645328942901,47.14076111160296,48.917633994267476,51.97842145972658,55.7745123060805,53.65015541679613,49.79966075721836,52.13570153114343,54.72515708012841,50.28752376133818,48.71300934245857,52.44333183077781,51.63678392055923,47.912922893533825,51.61672817210296,53.501585831405194,50.02516506221266,49.45781681083305,52.71672810467506,50.14516416535453,52.22152110116047,50.69077091654773,52.37728338289785,51.145703214561244,45.983470070100346,47.58922399724523,47.66141553414042,44.80684829345524,42.2243031815408,46.02755621301432,43.80576922609422,39.1968838733757,39.93660797274642,42.911905730101694,40.3220055896077,36.83625146936383,33.933418558649,33.76843138357603,31.086637261494225,35.350219857303216,32.28540760044941,34.912231661967745,34.42096279160213,30.282054798581854,29.924913391382116,28.9836346817371,29.790824169799063,34.25358717139596,33.06338022429143,35.926028421951855,34.228224521326204,37.03015076643343,42.11261669835879,45.01063586728105,46.02473040889602,41.0694252085997,42.221227092969414,45.91885813990093,42.797195968692684,39.984051090888265,44.087050823627614,46.92209305180111,47.90565463480827,48.14612815793162,47.98552424518219],[36.665504068765784,34.33854952017373,33.481964559231166,28.815415898546274,29.727828508338614,34.19437889082402,34.28265132939323,38.7636658969106,38.1319916340345,36.74804298034679,39.69545523479803,43.46281442467926,40.18773530175891,37.60669098669342,42.26164289410561,43.287416016635255,39.15883997235957,41.517330762396774,39.698264608934316,42.46613701042636,43.323146924583845,45.772259878356486,44.82550215749705,41.76051021817992,40.88252239118138,38.45133254002276,38.37098276773562,37.282892871018596,41.04209988007614,43.5515405107447,47.09532579560895,48.36987393255961,52.43419909881629,54.23234328639422,51.130462652491694,47.4718970776971,47.62602303419255,44.339314820417954,42.027595334789886,46.071873304530605,40.62361951822936,43.133893482782426,47.042146256399434,44.88960305157385,43.02841290429318,40.6039198542885,43.513885629423115,46.53913061400998,43.92036566573786,45.12940638417824,49.88343341384824,50.52299831699271,53.6721958981948,49.52928705650369,55.20247546136215,56.46745016095208,52.15824832960183,53.790649177348605,58.120247618250374,55.64100828066549,52.62793426223957,55.383215324569555,55.193036960259555,54.418718805083714,51.30521022079858,49.48034032639869,46.436228810140115,45.99696004182366,42.47135546890581,43.016626065437926,40.82718112352388,42.640672896213005,45.89020389966883,47.118196945247774,48.711564722091325,54.1873375174993,52.49392214430863,56.76721948541114,55.09745196313073,54.490277182766484,53.92743563324696,51.68070428797391,51.656775657753045,50.15205840531275,45.85694338993687,47.03914950021258,48.03684475799031,51.48841252163027,49.85024120730208,55.092045326382234,52.44630735468876,55.31689321182664,53.33239077386229,53.024544374404925,48.89285104724184,50.139643875726335,46.327225295557994,49.49930979501031,47.96606765439226,51.24335927028792,50.167961167159945,49.94143685757397,49.03697527496115,47.59604178453357,47.38038908070481,43.81703295735382,45.90774128630629,43.024758953631334,40.28685663567374,42.161700420114435,38.56650029848978,37.2950615561558,36.107605937483584,33.46330524438043,34.061300448051426,30.80419422218295,33.2774882128887,30.154220782765734,34.33896217543144,36.59151392102138,33.711709116176216,33.28718524272977,28.644134076221196,29.531677792979732,30.850519608466477,29.75093784106356,33.35666002145343,33.41056510753877,35.28306354417711,38.689358847334475,35.73187938354125,39.83419857525173,38.03342613880346,41.43243092970056,35.59406220356537,33.33902396060197,29.43312089698606,27.634092570463807,25.302018870721984,28.76759365567359,25.981140985616232,29.165663208707933,32.31663342476479,32.394029522998586,35.86918599932099,38.02374416465024,35.59358182811026,38.08213286094078,38.98849888399229,39.144441552929884,41.80590217845368,43.545930725591894,48.16316251656939,49.62069581123607,49.60145529113936,48.81866259674104,45.518782560278886,45.423803608875396,44.208709264319126,42.413089163987884,38.52473021923898,40.527239848141846,35.28550749590027,39.569335633393464,36.35638090174028,31.56418510231477,33.0614401611277,30.775399600852356,29.342128521017884,27.819707014716492,30.775284391292935,31.44537347791049,36.4783692029053,39.828817770165045,42.73225888793342,45.90623192929849,45.668756140583994,50.48877657506902,47.320077707307945,48.16620041409944,43.67916108834756,42.72516194293228,43.68474263511502,43.77647658760584,40.700472623282195,42.79081062613912,42.286610632137815,44.103844218135215,38.91771783782268,40.616153998729935,39.59005549306903,39.185161807737586,37.77992771587902,36.745606933000616,38.04952127208615,38.31437838121961,35.3137042349729,38.423314808478736,36.991001820325025,38.926237899365624,41.509717805483966,42.77405326510996,38.94759001353933,37.773829542469905,41.92348617928721,40.17795923807706,34.55777403786371,38.582393329341926,43.25043679041092,38.06529162488099,37.21461490300764,41.04349464869765,40.908084860262676,36.64509346822574,38.44787248180371,36.35924983741506,41.79880563543925,37.03354357031806,39.245345104429255,43.303873971668594,46.110176174625785,49.8039159685764,50.66577178876619,52.42158181059813,50.91064702702665,53.430053406433,51.699015305868976,53.60620277798529,51.56250168051416,46.41574027360676,48.44263739350022,49.093729139861736,44.74661986857767,43.29868665754277,45.4888516091022,43.12860071869274,39.39388866234968,38.959399956115114,38.94259638707416,43.14434806574812,46.447260682830425,47.80731017027027,50.9211369234981,54.44864165989392,52.37035649777912,48.504115781426634,50.55401094017872,53.01045324790186,48.540235630888624,46.81802692835543,50.31516800314255,49.352554801410044,45.585315050323054,49.33207188740406,51.01108341298534,47.32733890028333,46.88266187506629,50.23346398442982,47.83552862273895,50.166908717442645,48.85654322009244,50.75369689794239,49.25302857162156,44.057413600446374,46.06733154773175,46.10323635295475,43.06362005135576,40.79272373553975,44.86645276365558,42.43927246603484,37.73004899798865,38.952650214177375,42.036825366723875,39.21500262507588,35.59541812182637,32.308146872655854,32.35790408847356,29.248654541494066,33.230595068190134,29.897214728509464,32.65295858104602,31.83274001404715,27.656985924942042,27.72822933373926,27.146816554476672,28.297188893279067,32.73927481601669,31.445146754133283,34.65853369236103,32.69229689172877,35.04056588317056,40.297243129211836,43.03858323969153,43.976931630413446,38.94824070016321,39.836297737374174,43.42252070549588,40.36201549156329,37.25438698148114,41.28822362489797,43.981317946913016,44.956565187503124,45.23396861144975,45.00794176901224],[38.84455436837719,36.58100962710901,35.85350294637906,31.581039431908405,32.70400350004207,37.397232975995564,37.80650605656207,42.334439004289536,41.89481409373871,40.7634843393099,43.783119291179965,47.473437711935084,44.314745461045824,41.829096871832625,46.55165393814871,47.55104554836768,43.46066876333297,45.89567335346838,44.106686371721636,46.79034397071126,47.640998258558525,49.96979882152084,49.01808677944653,45.87625488766375,45.025225228506535,42.72751886089315,42.60092215494848,41.561477142661474,45.32582123346834,47.763327508560366,51.45038362688628,52.57950541514743,56.68806962742448,58.55273982482066,55.39384534202632,51.7608754604069,51.77844860018873,48.50597352936921,46.10078887524804,49.93768080392813,44.56629399304739,47.26093851741026,51.0771111323876,48.80208186813045,46.85662163485737,44.272534326085704,47.04696585900669,50.233922695134346,47.612952572813114,48.52783908158636,53.40208895047625,54.05253794408303,57.319674429617606,53.29399616755055,59.03899106868315,60.29171327888786,56.081353856269686,57.84048799737343,62.13129395214901,59.57794045631047,56.72870971795748,59.608342214706916,59.503517284137885,58.712137498034195,55.5350911484596,53.75247316704815,50.81565250096373,50.40678329218424,46.92364641410839,47.468841793055,45.291134521969944,47.09544582446099,50.356675640708545,51.577575639188964,53.155683028174316,58.623115123923164,56.86538865855712,61.136195558484324,59.39195042890293,58.697062529124,58.04077100978483,55.652889695714016,55.56890141201894,53.90395212015661,49.65312764780215,51.01740870759128,52.153594201373515,55.62643039409188,54.12649193633215,59.40763015094449,56.82993739129215,59.74924353539855,57.75011416019533,57.39053299514435,53.2200917926153,54.46149288228125,50.602622301735664,53.70365472768285,52.05659641945479,55.15639261042369,54.19076489531204,53.70909801145836,52.9234193832139,51.209253727673605,50.82235503031581,47.154801057983036,48.94335863496836,45.898209013537745,43.11459975744863,45.2552978168544,41.724023002468606,40.7900144368574,39.77288010147423,37.2869328195118,38.1524536622232,34.97597772688925,37.566712126824406,34.477963849404354,38.746626840257996,40.99509264278687,38.12988209402488,37.6258384602742,32.95275825758123,33.67301671808895,34.76486481736413,33.46999651748818,36.72471138780265,36.756181359459504,38.356989696546634,41.83016871452988,38.48284229488215,42.44779194731971,40.76606203255138,44.44443482222318,38.66240861352082,36.691509740099555,32.4626030607846,31.154418103127224,29.120477934566257,32.69218495598305,30.10710407352888,33.21540064838845,36.484734148636186,36.49085828419199,39.923755701543485,42.15309005852193,39.68715696184477,42.111474273620495,42.833821418605595,42.96044051065855,45.3879954380131,47.193376546160806,51.694980779162705,53.10350662501443,53.328813428530765,52.59093188926372,49.398913130780095,49.143867531128976,48.13660142590224,46.084678082336794,42.25607650719703,44.479989793364545,39.16392822660259,43.40057213371425,39.915050070790414,35.113423930216825,36.22181792933641,33.70964569064588,32.120064611025605,31.004616742181877,33.921921995585706,34.96194331026517,39.990318342306175,43.414321859944664,46.4506349920413,49.60394598741591,49.584079487202764,54.29010233483961,51.08625697585596,51.75880619332956,47.18254721951644,46.13408780928459,46.84694505272219,46.80698698697447,43.890183414544694,46.18493249479568,45.94783805784379,47.51759303577159,42.29502684267253,43.73081666492297,42.41087756585173,42.20657480546311,40.4875804314816,39.38572980146582,40.50182219260691,40.44951115514309,37.59449039640416,40.56289871417492,38.99115968668548,41.274794909974766,43.46310551504438,45.024420526122775,41.3561473820161,39.69052217000306,43.760429998170046,42.32064090510079,36.48519121013515,40.17018194973216,45.04771168630745,40.011426952574354,38.79180062324636,42.49749399396668,42.73245256153623,38.34224961430459,39.63477577854543,37.46479201917353,42.73928429161914,37.5537832933796,40.16092523757421,44.13991935630669,46.73989486491384,50.201462207724184,51.13183592280407,53.292878816753976,51.967512701147854,54.62016895483728,53.2485646991833,54.92680488151249,52.57408161903106,47.753673656076174,49.94124504398978,50.18544325260524,45.765224910736514,44.68284265649796,46.914029765318716,44.02118297793955,40.370738845804816,40.54865718815867,40.576946905342794,45.227039951027564,48.34331417036716,49.70296718796512,53.04245039241033,56.47451404633274,54.74338756945148,50.854320081360555,52.583196611478364,55.276347448784946,51.0022081719432,48.95797983576778,52.45869602750049,51.64548537067387,47.70902207885494,51.16279748902633,52.93927246256065,49.331008979752404,48.52602571459429,51.715938576120855,49.234965363519514,51.62482974704795,50.536363439555,52.16683163926963,50.40816569694029,45.46654215703623,47.45874883191533,47.08013933885984,44.04949827708405,42.037193645463255,45.71078389482935,42.92525442741682,38.54500705035413,39.88750731235115,42.478091232988895,39.36819345124416,35.98246900224111,32.971982831045075,32.31178005506861,29.33323986036925,33.41632017198568,30.673260291432292,33.87330128016442,33.546395950876395,29.07553374975153,29.184268447132688,28.18245089276423,29.68540326683339,34.2789881365536,33.671612084945345,37.03924267681072,35.51020142178196,37.656838798316564,43.04945003557885,45.596618981526426,46.89124457047986,41.84749296985567,42.35039841417866,46.074510546878805,43.40235898083528,39.94367755727674,43.65928881783329,46.37595734175448,47.24478185779376,47.35987101934286,46.968523613278734],[40.08909114823559,37.48573750771176,36.113669225422655,32.05417851756513,32.27819823230921,37.53912187353068,37.68609424283532,42.118255798673026,42.086753609254515,40.74061471025812,43.911957225276346,47.466797611592995,43.859443079359885,41.77017400338177,46.33861796531193,46.993039054934684,42.69726562156516,44.982693810509595,42.99561569866319,45.27992702316877,46.02467435058368,47.93728087335919,47.03790164853857,43.754413901447585,42.874495811378196,40.990244419829,40.79460021483326,40.13226626081874,44.0769742034793,46.645273369127814,50.73354406440255,51.68130247330577,55.92901129892085,57.57788656871224,54.17848217357846,50.4462871504531,50.31476547285261,46.70301835793644,44.028377250993074,47.35527040777068,42.057692106854084,45.086974650375815,48.64369029858814,46.10405399562622,44.025355463764136,41.19885944486243,43.76615837027073,47.151519859842324,44.58814815374116,45.06561672350046,50.07469805924795,50.80548451048378,54.19044685172268,50.40955891711691,56.29607994274787,57.41976067529786,53.381529221015555,55.45022377381547,59.614550850187314,56.88888617748194,54.40638570241426,57.61420955966734,57.80807501928917,56.97948591906911,53.589109150687634,51.944509871328314,49.46849012898365,49.294857723858264,46.14507754048284,47.032346759016974,45.00155578915977,47.06620371967675,50.059676973326916,50.89853760793222,52.36032365004981,57.64097412016344,55.4925807833992,59.80381288193052,57.77387261219139,56.75650817731724,56.03387674411421,53.310835238157374,53.41093810628878,51.3859911121122,47.15960202057726,48.922479535740365,50.13349947908956,53.85784970117703,52.54230407288887,58.076315052113195,55.776975156960376,58.92674620312974,57.1447846159873,56.87529720817242,52.81846024547469,54.395982086555264,50.63796865731771,53.34164668291782,51.72114237313425,54.85864443409888,53.36960189867965,52.7411067801271,51.56669758071014,49.77145047769558,48.804879158380665,45.413376042830734,47.0464936186342,43.78255608170512,41.371867148364274,43.773064225436705,40.56912318645918,39.470598481540684,38.976917376925684,36.2041437168766,37.364538979823806,34.05491912952595,36.532377305528485,33.2790349827352,37.658831526021025,40.17409387071309,37.618469491538086,37.273349269405074,32.55523114712251,33.25832224843396,34.45813702923273,32.483879358713814,35.95937812349504,35.38148090629697,36.70364030043717,39.77876576787655,36.21624292539994,39.923450242205305,37.91735591874089,41.840334957056434,36.06562657073521,34.55778384689074,30.35199323877345,29.18774019886177,27.443275359354832,30.87709997658378,28.281342792995133,30.979977647365107,34.57913271765449,34.64149811139688,37.87744073766078,40.51122735097948,38.21286628735811,40.87642525688323,41.59362996924378,42.2103838806357,44.59419434865521,46.88798737551734,51.2285426565114,53.18918126926416,53.2889699845264,52.13464098108639,48.81863529342441,48.23487588540172,47.08448329864682,44.63728505791703,40.45924536396084,42.65158272158712,37.0607669579934,41.0379441864556,37.09217565067593,32.247649691186176,33.02754138979042,30.143788339954902,28.738309115851255,28.097286941448434,31.102123422585404,32.51839033053153,37.42884175815761,41.01913114571117,44.25878408569947,47.58924551112804,47.92120703664021,52.34002161323945,48.82574529560822,49.37431470712423,44.51894967863638,43.850087738054874,44.00337861949098,43.6369812970878,40.82693033364671,43.043913196770006,43.074531321031415,44.200597832119875,38.87970867470098,40.104208679404316,38.55234967923362,38.6949254419697,36.890024561970066,35.998580749109244,37.196627100328264,37.20859447901989,34.78597057544893,37.95343069311024,36.810020749357605,39.40234501402452,41.71423406760403,43.611681236151604,40.048587442318194,38.40609073076474,42.64763809742358,41.58959709919148,35.84427793458495,39.51231307517199,44.61557746765067,39.97837247012278,38.8462998972644,42.64143109556613,43.128044263531294,38.99010254532538,40.28539918672944,37.78633387570997,43.037229560820606,37.32776056623996,39.69390754672819,43.76615874904721,45.901156757440674,49.63400578699598,50.103304016661575,52.10554492659436,50.47970803533602,52.8888901144103,51.42257597872137,52.75959170863458,50.552566605993405,45.866219864010326,47.715825764368105,47.69798698176886,43.490478390854484,42.32991840841528,44.17436415739469,41.267547856855245,37.879523858736725,37.74769756866994,38.395637261304486,42.91421387145742,46.04043881694395,47.85586878541384,51.139540032546634,54.87323106667421,53.11229177728437,49.24291068861696,51.29146350046813,54.15788758877425,49.94628625916951,48.06667704683954,51.872622956936254,51.2816913451908,47.399675674663314,50.79152304890567,52.85709098619474,49.559047936940665,48.584120692393334,51.651725769297954,48.93398446583795,50.964423515731845,49.56983512715144,50.95162665914933,49.57222849836675,44.647176578990894,46.12456241180337,45.84698527267445,43.05439467839485,40.6155065661642,44.017304884990494,41.56000275466954,37.24081609781451,37.98048030396738,40.5360863708507,37.77811074182193,34.49934703833943,31.91398796135137,31.17911861168869,28.73801069944672,33.16343403184179,30.64276654937694,33.55474580086605,33.63920664616088,29.27198493979163,28.760919019848334,27.343534913820353,28.35443083450152,32.94564470460895,32.4597544651979,35.41914163645863,34.274423252211605,36.94336643856843,42.13108331189546,44.845122112325825,46.306608507606796,41.35873307253547,42.155318381764815,46.06017446593283,43.392194613149535,40.28455314357632,44.06344157792514,47.02400375287281,47.922580048893664,48.00256078262132,47.75758471471209],[34.73744513266316,32.02660556741682,30.504292276980934,26.380322342734818,26.503682356730216,31.783987548792414,31.965128129830415,36.40556333368879,36.49940978716107,35.328115215843354,38.60141608332084,42.03804092258494,38.56106007862536,36.64004855966544,41.32281930585921,41.929268817940866,37.78169465827806,40.38588397398259,38.86662787281326,41.0909166711846,42.248148382054225,44.32764175312284,43.762474423688964,40.7122263458401,39.39691138059748,37.231814464609435,36.635011308362635,35.60694314090706,39.363684425094185,41.65415962691605,45.93408491831652,46.583173281066514,50.869839417880954,52.755936517149784,49.33996173197497,45.771334494139154,45.40129195157044,42.16883959966911,39.59795384625051,43.1675127461279,38.08123981691538,41.162544794415204,44.887085503875745,42.63813994990916,40.95543854253658,38.14118115747037,41.08144587193904,44.10453970061227,41.0707851191616,41.97405630510864,46.82761790236677,47.239610128765776,50.640980482898875,46.58022385106278,52.31727739342761,53.8224551033455,49.80891386836012,51.503998016832234,55.857136669741436,53.531676631617124,50.84673323679934,53.91240806610875,53.87853171420324,53.44046761052352,50.063475688715414,48.05027202022056,45.655309839250954,45.10104782609372,42.09714568773442,42.67553790751986,40.83909872404882,43.127137690152814,45.918806735650364,47.01582445002006,48.09839523774802,53.55608106765541,51.33544816144551,55.501243095246046,53.44988580410065,52.55827170062849,51.554584268596805,48.94340252168891,48.677442256784374,46.82814489160719,42.663214111265106,44.25414566026753,45.720026064158766,49.16445604310478,48.100777473243,53.48291483551342,51.25764215694884,54.53394193881664,52.558186466554574,52.05590551910137,47.87897114427581,49.46871409751828,45.61838071277839,48.140244978654856,46.35851704732626,49.32003497367163,47.98986545922427,47.19682994421608,46.23920415066385,44.304187048554844,43.567472596226075,39.991659721569555,41.67498467644808,38.525692445124044,35.933895224254925,38.21747498579656,34.9067912540273,33.91083821827861,33.34665249536174,30.738456044516774,32.084474974031245,28.95615826467276,31.74025521136228,28.78414308542805,33.60599997553387,35.68062186265261,33.078011996048524,32.40679858376515,27.637871141907894,28.011439500014145,28.948687888882183,26.929072318205392,30.233109381052508,29.798979269994458,31.20195835913978,34.48338645290638,31.043912919316384,34.94815361779658,33.17761065285493,36.913725964733004,31.140873215859042,29.362009815107466,25.063866086811135,23.966668448340766,22.287744323258767,25.947349056156167,23.917254043143302,27.14665373902757,30.41176899083585,30.075116983331966,33.42841697027183,35.739384885693276,33.24524394793273,35.66238866665853,36.19342899723576,36.65402490873153,38.929468109224295,41.20140596916074,45.50961441095358,47.46450629059348,47.641638595055944,46.511755614205065,43.27718518638654,42.65162375145281,41.68169003361687,39.203912403385814,35.25359894691821,37.703370792613775,32.28587201515052,36.46618293310374,32.767262323509094,28.042715637251458,28.843225656043952,26.45120243490002,24.62372660672353,23.570816952711567,26.426079419455572,27.68909536600359,32.69800704813569,36.16941675506941,39.3349380405601,42.49540022140822,42.790183712697726,47.284347289677974,44.006216261120436,44.502885096169905,39.870796202494425,38.78375696035404,39.33200155221172,39.284125131859085,36.43401411101628,38.96438050839083,38.98197079633523,40.54539449474663,35.57727745162278,36.68570115653408,35.30003643291884,34.89048399636924,33.02866016645383,31.822973092111816,32.920845956364275,32.934716082672125,30.085930982052098,33.17160110254446,31.838531628112527,34.1410029813974,36.589618588681084,38.233217903600725,34.567039999702196,33.139236629670734,37.39332594758051,36.10186389483506,30.440108738061927,34.317443587952475,39.27592217756967,34.53570172302589,33.611142949632956,37.485748512247376,37.76729237883892,33.729223379409106,35.338819740185436,32.87522295638864,38.247299780811375,32.9081857593779,34.9627056603075,39.09199647361196,41.48143802170138,45.37944072877326,45.88151245554831,47.572346150733196,45.88331496481448,48.28064853563501,46.59385457313689,48.24640941940471,46.2043958412855,41.19780062751622,43.0965648399851,43.521204128522584,39.24670609032228,37.843944716663216,39.897339665063654,37.4069481769891,33.777114303112995,33.387311631014875,33.63953540490581,37.9925979322484,41.21488514796934,42.81817731471539,46.0173883398109,49.68705014244014,47.77834671642926,43.90260723542089,45.9970761226991,48.71249932594532,44.40338353306221,42.61886678155811,46.38069220675096,45.70203807223109,41.88550475574863,45.43456222261297,47.432520423406196,44.09714077429142,43.31256314343882,46.484349753830095,43.83456375694948,45.87162423247231,44.38939551662095,46.00817400049435,44.724369537833965,39.60563663697247,41.22094354805139,41.22874224657567,38.363839765664274,35.83348078516081,39.65901234344128,37.406700274222494,32.76434093417714,33.61979527156395,36.64787249217796,34.03284092135019,30.475368070070175,27.497272347302307,27.497497852629206,24.79597643146386,29.069061925206647,25.991229808380044,28.567353152804728,28.322303762354974,24.146494524233866,23.60838879519149,22.551067000674376,23.400542040151183,27.90387698688749,27.000448872278803,30.032503442585867,28.645670952351395,31.267268041805128,36.462641863051644,39.20533815235874,40.56940754518868,35.60660726914094,36.48075713019526,40.35008530363421,37.620558887558175,34.59255101555145,38.46545990380417,41.46275645945639,42.42570044934895,42.602679428619886,42.490101781657884],[34.610339725666165,32.21623663462176,31.339415070164456,27.40865079087487,28.511473365248197,33.48259802511256,34.18889419427119,38.73348120725569,38.679509717619354,37.941490594849114,41.15889075179283,44.613327973166115,41.63572226628885,39.499398586217474,44.37316036784768,45.22746597602028,41.312397707711135,44.13343277475793,42.85602880460733,45.31464975381148,46.59134585052513,48.90800924283182,48.33487690671548,45.36063650267683,44.05193674451883,41.65264928941639,41.03728280489668,39.714946017734455,43.29120031300514,45.37026061492633,49.464878934863606,50.08859076437702,54.29731965523137,56.44136999377549,53.17112449675091,49.73637521931425,49.33710435482638,46.447745122111776,44.036401652219844,47.835737736182296,42.80998117850293,45.772144004517834,49.6230540401824,47.51251750680558,45.907036996378814,43.16061515118407,46.16457633773098,49.125879767486026,46.01481499503929,47.03778954138774,51.85201450554446,52.17747039153926,55.5770454686391,51.417030857123535,57.065844713201216,58.70045104434055,54.65644750918028,56.17288337472176,60.60172954265541,58.39810190515533,55.557085540988446,58.452988498683986,58.233509408184695,57.859930210363636,54.60085941110255,52.477543056290585,49.82873564197,49.07125118960069,45.8628645137879,46.129622717339224,44.212544872473764,46.31548946920284,49.30191561722705,50.72584440154037,51.83583839299875,57.45105483226693,55.46928886746338,59.57434029187795,57.680817543336815,56.9824554946916,55.91585505893145,53.46617214397518,52.95830123756509,51.28139967229421,47.16962777157829,48.575403031961606,50.125780544533235,53.341863564021686,52.28927617058667,57.47233817509801,55.104432404590256,58.25645888857481,56.07373196142775,55.422735171872624,51.11139804857202,52.43032334564386,48.44883999125645,51.194725185387085,49.270680646079214,52.00928334048005,51.223881579787296,50.29737413595498,49.79452050172676,47.66843945005651,47.27910524508392,43.38491680577948,44.90906898111138,41.826189579900564,38.883721648969086,41.166560768175934,37.655216590141556,37.13177491050687,36.277209445729376,34.0967258821898,35.43855926847608,32.53543810797621,35.526196685412884,32.78151478234025,37.597429528997225,39.40027546414947,36.55764363985788,35.65332848862468,30.909666676189396,31.120716520227393,31.729656765497076,30.1414083318729,32.87900924781751,32.96924107765407,34.35062680340752,38.01546586703855,34.44547837293111,38.40998399638783,37.065996630099704,40.798414984444605,35.14178040072244,33.233035700923736,28.679655709633227,27.93200495994574,26.298063156530095,30.12626531929991,28.333660436683513,31.83600433885966,34.88127478182421,34.41089751203938,37.871884064818026,39.86755059860866,37.20295838359185,39.320296567556426,39.66681628485829,39.670975145604956,41.741974531288676,43.65823690799666,47.97111682300985,49.42948152195452,49.94318366752972,49.19563252919673,46.182500007327405,45.67671161804556,45.04030298640149,42.665969079496065,39.116778826385286,41.797132335540496,36.604527276378896,40.93652288548983,37.42933309562743,32.799099733975986,33.51621737204542,31.292758362212744,29.18257425401256,28.099895574863897,30.780707957213092,32.02690462871781,37.07063992904293,40.42308695061938,43.50644565132017,46.462025111398574,46.66148436202962,51.26901436246959,48.25452483129495,48.68521971854875,44.25647855506041,42.73907479729874,43.55422060658367,43.6829599097731,40.915776593297345,43.69878228521745,43.73935713025109,45.464538714332505,40.6093582789975,41.63451588149715,40.19455487959398,39.64929320623607,37.58735989138277,36.13722054939744,36.96943740150491,36.629992077047824,33.556122312704,36.29191358623396,34.46018088518688,36.78078161248456,38.74276105074759,40.34853676000879,36.75921630773202,34.87670722748894,38.886694997839335,37.546605647370086,31.642379221191824,35.2155068922793,40.15287471255559,35.22326431870417,33.903071830463766,37.59549485234284,37.99463631250281,33.64373176192177,34.81382064136869,32.541103081863284,37.80131544584875,32.53175903671356,35.118400375691486,39.10233528902041,41.703673967539686,45.19502061022995,46.12602946232583,48.2744012749658,46.99465140541594,49.70390473571568,48.40829999448651,50.15218191470634,47.73227977645927,42.90667461750932,45.228537430690444,45.530404723084054,41.02858029551016,40.01886528096546,42.43872346298405,39.51403027125163,35.74635324514998,36.179783494023035,35.913809526643135,40.74853212315045,43.77311587442336,44.968723601905225,48.398056448489406,51.709485563356125,50.140245868945804,46.24706967057392,47.77511716303137,50.54243809867101,46.371415641227486,44.16942306980312,47.669339562644375,46.941926155021896,42.941189017621554,46.27770756754049,48.12349681194804,44.61105463446489,43.65122819042508,46.782309909235494,44.25461018517639,46.631861802131134,45.595902084586164,47.19035433619121,45.37618235087853,40.4693442197256,42.49991522830445,42.06983770697891,39.01735917542751,37.08174562847432,40.785379901562465,37.95955689549919,33.5531209313249,35.035440561961494,37.662016359166955,34.509471804669985,31.06198428158709,27.9572803982279,27.419199316320352,24.35551800719075,28.430560224735675,25.657964821406583,28.868186553481046,28.709373164065305,24.185953640546114,24.228273507408854,23.167931522027214,24.783551216588613,29.38488031925407,29.009598292831225,32.51797434713463,31.207764351952424,33.155761566370415,38.618636632523504,41.027284509031155,42.56716040879963,37.53572129168663,37.806998451439554,41.64079476088221,39.27178654416826,35.641040577610106,39.16911370783,41.99942846330677,42.85292653171165,42.919635383475494,42.56021617294616],[37.12682227257732,34.5373515127352,33.25358486777654,29.825744520531437,30.36392794585482,35.87444634756716,36.597877844479065,41.07120035071216,41.45278250631835,40.730013932781205,44.09233913914628,47.384056509218226,44.172361728358965,42.39246392046163,47.188975185760114,47.776420875521715,43.75469746423236,46.52256492991985,45.14277708111122,47.2612672751106,48.475362009741026,50.42496261198956,49.90375101420994,46.798464798939165,45.46801558420748,43.43583859302188,42.726214492291106,41.68914447766474,45.37868215014634,47.48573266842414,51.96079407901214,52.34355781294776,56.675581965812455,58.71703233147718,55.24006301637444,51.76667875584377,51.155935484295426,48.06144075589725,45.40674369301316,48.69638025164134,43.81166758459484,47.13153723016649,50.73483776566824,48.37635193964288,46.651601870691145,43.63464864111335,46.413213633179424,49.58924799334597,46.491618536852386,47.01759058959645,51.98515387032772,52.3469039407281,55.909947988997736,52.00236509201858,57.77754833673355,59.33676172093095,55.49944549261562,57.297267141493194,61.61244413867778,59.26630625439039,56.793428789541096,59.9944515133766,60.032398458412956,59.64290566502174,56.19555267994251,54.181088282460934,51.934878832147554,51.34740128432157,48.40675815240431,48.904260551084676,47.101662362707046,49.38283267702148,52.186548544342,53.346395005646585,54.35121826199304,59.83229140281941,57.5295036944087,61.64936293778768,59.50218000049571,58.521035709068784,57.32542589793007,54.54629370809566,54.1044060536804,52.065562408655325,48.02353614093968,49.83248328326731,51.54626137795447,54.9333217884553,54.125108050133925,59.49891194065521,57.38321182768074,60.733824681843416,58.689513033677464,58.059747415650655,53.80600550201353,55.36004071178091,51.423873007751155,53.82631576008357,51.84345566622196,54.472828436393485,53.390027031619304,52.169455750424824,51.47924172480238,49.094598157766306,48.16389359485624,44.40241701347912,45.57351238981644,42.22305324209146,39.53283847103517,42.1971521008325,38.999721859322904,38.61068430646461,38.268859831613184,36.00740148426941,37.7389078777087,34.81213533354311,37.79055510084011,34.968920648250055,39.90995447434527,41.88175112019161,39.26816892090345,38.425236727467016,33.648250465617984,33.744230232465966,34.281699331035696,32.08030067124912,34.70779576035053,34.329619251919105,35.28962008392716,38.69137734838148,34.68772488846789,38.33154771018696,36.87068748326195,40.97026944367548,35.403122716242194,34.05294050991051,29.310752885007698,29.049818234797794,27.85342111850341,31.62667363646276,29.99144126293171,33.162032677626435,36.482252523788254,35.989862763683064,39.27171401629716,41.58098719209688,39.01513054556765,41.241009644598265,41.44665151274739,41.78330652877443,43.642014446752775,45.956985983883776,50.04669184077987,51.876058942237215,52.470045750612755,51.449607617199966,48.43542380429145,47.5745108059823,46.99100950154965,44.15251103600765,40.4214174700416,43.237496116853926,37.83098819338957,41.9322936115041,37.932570222183344,33.30859374479962,33.49062284299301,30.891796551721956,28.7671263625707,28.328697359838415,31.00024944683817,32.777315112067065,37.6996024160086,41.199070058105754,44.507954134902356,47.55354419504967,48.16533548114159,52.46854313111202,49.22839575339284,49.43353523039209,44.769843150529994,43.43526978469092,43.67343779072308,43.48514374156246,40.93435514093612,43.83199897629973,44.26544300389542,45.51496080263418,40.62046237777597,41.27471217958371,39.46077813861933,39.27208140165253,36.901387038295034,35.52701283042759,36.245511902672476,35.68515732591547,33.0446863096198,35.783717232558544,34.1616689919162,36.97291739700216,38.70165367556892,40.78565506204111,37.42392670418898,35.18896329789282,39.24078869698882,38.44502810961307,32.499575648530794,35.760280402920344,41.00195303585944,36.54377881003043,35.025591277581086,38.66146634738133,39.5405548913913,35.34132889828231,36.11500863241279,33.53250481245776,38.595720452807306,32.60673404531815,35.288667956407025,39.25882307940294,41.31113299754775,44.82027636208228,45.43901803368675,47.77386377660121,46.409733552314606,49.02930102803329,47.94759500692992,49.253310205541744,46.705016339187765,42.25262141726464,44.44178274109396,44.22856049175343,39.836698229979326,39.06601333106164,41.230617489457295,37.876193228491964,34.37850270923501,35.08753675895529,35.30962158063949,40.38138249259619,43.25056386194343,44.77692996916332,48.32767095179744,51.77675479441984,50.460542174144074,46.58094741035466,48.09397105462724,51.163522093301985,47.20926829814413,44.897946153238266,48.61778841278361,48.17947202955062,44.116657901675374,47.16231840021241,49.299024129827615,46.10758025828722,44.74799890315145,47.64147050352122,44.87614254023178,47.002471261991985,45.90395407966207,47.09220687989428,45.38039145454845,40.70917588547177,42.31290549568301,41.636996384757076,38.7936740552519,36.73800672819886,39.894935187886986,37.04916408874667,32.97716540787899,34.07627103753142,36.2676018007427,33.165314793131884,30.006647051527597,27.496898215376948,26.309778172989372,23.83573206770331,28.24907693763657,26.1820802079971,29.46338551179748,30.03153576042545,25.441799650179867,24.994112138814447,23.259051385119328,24.73844730888127,29.407319216439962,29.679876386339735,32.95905606775715,32.291779267677846,34.467388156525,39.829322321269885,42.20189527798615,44.126123964925974,39.192329298791776,39.40272601463064,43.44996672219502,41.384415623196205,37.80191486569571,41.116948724882114,44.13294090650366,44.92315928259983,44.840403875694314,44.480875559618994],[35.55025682667159,32.743745770073524,31.041999832391678,27.680648574358347,27.66176406261809,33.43809598846589,34.001674190454,38.400261442800925,39.01946469792709,38.23303125949183,41.682875134886785,44.85314560565276,41.468467072401815,39.9542861193027,44.68153771461508,45.0785891773812,41.02962983147511,43.821899116719436,42.52947062116256,44.422414802218185,45.73780545191069,47.54860741821252,47.18551176298674,44.12501534686094,42.616171521332824,40.68019201319653,39.785929467360155,38.797121364703585,42.48037247214454,44.540841863886634,49.25498540705838,49.44774816549496,53.84394161536909,55.85332448354828,52.26887289911558,48.819204436551175,48.05689983838595,44.95092723938318,42.220907117478525,45.352725605856556,40.605697664144024,44.08400153584671,47.61626395724243,45.26246111644746,43.64462681447608,40.538910173962535,43.36355186833989,46.465467874706455,43.21889489212263,43.720396437210454,48.66786388397555,48.93875749925106,52.54818456545205,48.64936961361166,54.4152993399575,56.057669079010026,52.31547345305606,54.101974446670084,58.42050879862529,56.15959438248027,53.77782667431654,57.06144421449469,57.14899072597959,56.89255564708852,53.365953164943896,51.28121172804842,49.29086390568898,48.673574431919036,45.961917009459576,46.50721783011737,44.85767247305797,47.332272847897464,49.91733063754727,50.983463705936735,51.78809525015028,57.22308592823448,54.71925841169308,58.79049775670137,56.51022410454748,55.43043445141028,54.10672457893047,51.225654225807105,50.73938841467201,48.6072780194283,44.60854601396347,46.53083907778089,48.364489332944245,51.755160718044884,51.12535402688766,56.54370938338217,54.592183097116376,58.08511392447467,56.08362318323544,55.42003671561329,51.19854822786114,52.9162836095007,49.018456445757934,51.154461885646256,49.14484168393516,51.73951669392879,50.442287442276864,49.11608153285373,48.299096738683296,45.85200366435108,44.728170002004205,41.05385607858421,42.19097054264285,38.78641504656458,36.22936267107508,38.95974769410932,35.89500441022341,35.432530467000234,35.33012432751459,32.98550676990364,34.91686057394622,32.01326920980976,35.0221382064121,32.26070173098393,37.376414953277475,39.29493704666721,36.83630652400558,35.96127214477482,31.19272311584875,31.159473876038636,31.658087292341214,29.107427091646752,31.78660525612593,31.1384617756767,31.992617504567402,35.25216517421455,31.211773464009372,34.80981227421653,33.26078441497617,37.39423459382491,31.832371601648223,30.61034927853545,25.867133705072078,25.71448118903386,24.71932370096118,28.470575308612936,27.085978313562336,30.23020013281711,33.540946196123336,32.92146044134755,36.12757781823235,38.49414952222501,35.95381389965123,38.19530444837263,38.33658171678963,38.868283011196944,40.67601088474185,43.22201524612842,47.21754668229055,49.32961391395245,49.85541989030631,48.629505268158134,45.580241055445136,44.5535506070593,43.94766688966132,40.9248948103781,37.1102302238097,39.98728104909917,34.54088923967871,38.57308399017362,34.46885244248678,29.89925440398937,29.92140155091488,27.357302121693458,25.14628154718425,24.787525346692778,27.42548045718059,29.325675833425713,34.2046270357307,37.725931410310096,41.091621474189225,44.154423435488646,44.91199284936493,49.09754698722298,45.802551669890654,45.937954970564476,41.23592079158177,39.93879568807656,40.063633178619625,39.84675658620691,37.32596392622173,40.295598567353906,40.84225712089927,42.06057530628861,37.28050117073779,37.790632291386345,35.94914975667802,35.691900948243436,33.26984916629038,31.87387138484088,32.605047626515756,32.1035113173334,29.49939346518873,32.334950760113394,30.881667937854925,33.71601605299052,35.6198675200139,37.752582591719715,34.38550291382864,32.30694204662345,36.476897518259605,35.756465996260175,29.922886175895812,33.30635575491199,38.58593275166538,34.28590560484085,32.954242885943046,36.686736233536244,37.56122734193741,33.565055556996214,34.54506124167035,31.81529509217517,36.93589277150759,30.88408540514888,33.235932594849345,37.29743535858579,39.23552631556602,43.005426843116794,43.3751127974879,45.42906431937654,43.84097839618923,46.30591537514697,45.023117270197105,46.31082402133836,43.95284941775461,39.377782310136894,41.38287708782032,41.27068082382008,36.96345316261134,35.98941785872402,38.02926314258127,34.905768927717524,31.421601237579512,31.766870755709064,32.16675410228383,37.059127914907705,40.00468069559584,41.6979597742756,45.15927740635401,48.763849995151304,47.3205833667702,43.448403352940296,45.199378153621026,48.269614752124625,44.28055528317375,42.140115702069956,46.006964113929556,45.63009722352656,41.6486665776458,44.7677540159427,47.015697206546264,43.96321673588377,42.646697155061155,45.54169433716858,42.69064097390475,44.61731304631145,43.2816545820098,44.474130232684374,43.04714823683684,38.25972285964543,39.64026549905925,39.20268795738,36.45510850500383,34.075439792468444,37.328484054826234,34.80539842319154,30.56437310995009,31.35015028052832,33.81288046095714,31.01115725332751,27.740787448650092,25.258264627867913,24.46191449612838,22.170672627498515,26.704490109696362,24.433885802691883,27.338486046338385,27.937450416098933,23.537507905407143,22.707068674992076,20.92210951494171,21.992230660542617,26.62239960332642,26.720373046882916,29.783865013868848,29.198701594690952,31.66047495981164,36.89052278672871,39.38636844783952,41.31704966206061,36.43825128409717,36.88360887454586,40.988592152475974,38.85687461923521,35.546182103238564,38.96468388611908,42.11248131529004,42.960663738259214,42.925918298194915,42.72173502953456],[31.105767982809024,28.45908368932868,27.169879643556186,23.899587116258306,24.65084703651932,30.138363922167116,31.160662135425422,35.636000906806004,36.207430574508386,35.90901473428617,39.36420798261514,42.45039843839241,39.59547666033674,38.02655036044271,42.96349028965409,43.5372660853987,39.81827928107689,43.001187241620904,42.25707351253429,44.313551258439965,46.01510021672388,48.165567134315566,48.025609716728404,45.223878213550584,43.43145253201161,41.08003571144072,39.9059965590932,38.39454859129448,41.7559769483023,43.42799275489227,48.07354101957448,48.04871979107491,52.38128464776544,54.76848089997937,51.32362708318673,48.11942434809453,47.189666535676864,44.675816544124935,42.20042380758494,45.7472831286217,41.209559927968755,44.547515712036436,48.31250008487876,46.32716158249086,45.076076785245,42.10630947306168,45.25827150843126,48.00027504289676,44.38724638346709,45.37445845262803,50.118177127203914,50.089413031208665,53.65589895722977,49.45813575402086,54.995630615551384,57.01263722544113,53.24619596053038,54.574829004506235,59.0841924494931,57.23230857841805,54.53897633097655,57.53074458577296,57.2778028365824,57.35105658626246,53.966260679456774,51.5311064188353,49.3626927802892,48.30028550272088,45.526183323853445,45.58325266105412,44.01673885993762,46.48428669276844,49.067475308732284,50.58705776134491,51.14432060013402,56.81680274855153,54.491962260250354,58.39323706899615,56.26074934801994,55.46439624899371,53.91516129725822,51.30576345985173,50.35796965533788,48.559573367904235,44.660090385550596,46.23351674222822,48.28259390277793,51.25003938377222,50.78105827151807,55.88656724021869,53.857253686179845,57.31049539377031,55.003543509924654,54.055563983206426,49.65416395593305,51.14495201966304,47.09178769758839,49.282259879014084,47.05369585756416,49.34138821929871,48.62519166566399,47.10796886818082,46.84067737328246,44.180270905839265,43.592981934096535,39.51832717959731,40.615143899398035,37.41406736361028,34.39505670349158,36.964398254401516,33.61926284111315,33.61597649391235,33.16580820570984,31.32839212406263,33.35048917667594,30.80012635086682,34.17428217929071,31.84059471450234,37.203297491703246,38.55524860432227,35.88032127316755,34.58250256123,29.85264692781113,29.437976435388254,29.457776007279797,27.29255125650718,29.342507734791972,29.304205611652076,30.252667535193897,34.01473914332988,30.066654880881696,33.901083456146075,32.926128050216136,36.80433149853625,31.374521551629307,29.751579005619796,24.804960802963816,24.938506891060946,23.996447409506835,28.00253995621771,27.233875525534213,30.967343585023748,33.783603685336026,32.77948830628886,36.146040869375476,37.96099354954557,35.149398743335915,36.9327022188043,36.79740557563077,36.8013205248216,38.37123563022633,40.568456227412206,44.55247609990135,46.23146331959731,47.07147251648108,46.19248826843436,43.39098077352047,42.46813072726819,42.263135215078975,39.371580168579996,36.105003347860766,39.320493182841226,34.263577286249046,38.56385964354947,34.92178280038669,30.575825576320536,30.656066441330655,28.71625444495685,26.01943742330874,25.192486454185048,27.52209257340919,29.164741173173013,34.10539636425565,37.38204804807403,40.562982063067416,43.301700763774754,43.89133578061116,48.245737134024964,45.38635016044234,45.46798906080303,41.165159228818226,39.18764179533237,39.928618040833555,40.155124158400824,37.649996818742004,40.99689232186566,41.470133101669326,43.20983469871319,38.81888801077064,39.26099008688112,37.60422284321042,36.76763868879866,34.24865879463974,32.42495448202209,32.879473983366864,32.145353351786014,28.954129973584415,31.400139180920707,29.338284795384507,31.848855898711026,33.49190066963202,35.30392559789501,31.885769201272016,29.656086070545143,33.6293718629723,32.5973873145688,26.621692440836647,29.97988244683985,35.09802046260001,30.488749178475928,29.022121992391977,32.70058279933515,33.453124160360915,29.259495110696875,30.195615110418075,27.65896738921803,32.849566763489406,27.22847089213703,29.745845202476804,33.76017347445433,36.17703628060561,39.76908618851108,40.55879046818309,42.68926862113448,41.388603468010025,44.10882170782659,42.92250160977863,44.61689205375419,42.11796131757879,37.363498162761246,39.77401713816741,40.02279853319948,35.46792436487471,34.57438858427719,37.12793721281897,34.09628186907943,30.261548618442095,31.02459971131296,30.55871716571932,35.65173526061068,38.53007618095026,39.65599347682764,43.208829277511164,46.44869115558996,45.117246802923525,41.22851767410941,42.561492011145,45.50577058702964,41.51700684913055,39.131727757584265,42.72706752607546,42.202697662847,38.128335948729365,41.25048763099166,43.29133861535899,40.025224663596454,38.76748805864414,41.75474012646615,39.07896775677593,41.322256369679245,40.278024509109834,41.71121624601439,39.92000843525135,35.0940467799176,36.998426868121946,36.48375220588168,33.48167053860096,31.532118624596183,35.140359251001875,32.322819520604035,27.933159585468378,29.42080337753423,32.03011508615416,28.898366732549075,25.420386666457304,22.35991286744119,21.884572593559213,18.913710742256114,23.12769134690255,20.485532301368522,23.648970246657452,23.963591230143575,19.400932938633684,19.085530264129336,17.696722565313284,19.34757383106961,23.9843639459504,24.091145964815837,27.656650598164614,26.851380235452545,28.66531008833172,34.13247834838319,36.380357676688114,38.329273329511,33.37687992025688,33.396441323841806,37.42779529206731,35.51151502526668,31.773710851478224,35.01071975697097,38.04559130389486,38.869130917861966,38.840416792126874,38.54787075485461],[35.33976486865941,32.89956008462895,31.90071203801198,29.102322463685166,30.14212386360734,35.62145344495029,36.898319426269246,41.35993897251945,41.98762847577921,41.83116221453627,45.26837708193466,48.34531016556317,45.58209998661316,43.97470895116185,48.92878317016031,49.53447620624128,45.80156673119896,48.92797071960006,48.029184093352804,50.09368099664989,51.644820619726765,53.68375976188738,53.41107143471705,50.46189602620727,48.848697182420956,46.65813654941007,45.616505382245094,44.25445515148856,47.68871411873283,49.4066853392727,54.05314614166831,54.04233667706747,58.378830325731236,60.7526863681238,57.287722279790245,54.05140696810915,53.115178640486945,50.49655320930792,47.92864003522241,51.25229944276081,46.69144135971653,50.131116274351825,53.787356154266035,51.61304548187669,50.15855283144602,47.068922832384104,49.99931022445818,52.989400519960284,49.534639159882346,50.15288182364898,55.04024289792426,55.123428071568846,58.77725603959853,54.765877093560064,60.4029694411522,62.289148127105015,58.58702956379815,60.13176506601351,64.5553860272691,62.516023531068576,60.000744909156644,63.126248411160276,62.99944847734122,62.925350047385365,59.49201202169688,57.20522128121507,55.04489610300976,54.12552299185896,51.283519418968176,51.43127125802413,49.77327146568982,52.13212426341854,54.84357260650332,56.30156581801008,57.0031083528997,62.63760077767726,60.31260853373525,64.26598447639476,62.099002515150104,61.209708432904264,59.68450455727976,56.941328125755376,56.060188693057576,54.089784121638736,50.217432759453736,51.97436931639179,54.03474925925296,57.10132789115751,56.639408441878196,61.814333479816725,59.79051126375421,63.2240834125396,60.95181214819044,60.03734364921075,55.63722089474087,57.08890559495145,53.02276619953094,55.26093298738733,53.00191135854228,55.19103482945461,54.560262040344284,52.900091115518,52.69073132282412,49.86473531117476,49.085866243299876,45.005720796527,45.79745822496007,42.456657863414875,39.48670745952482,42.292186128530965,39.077961204047256,39.335338009742664,39.01306781975723,37.26488374810305,39.35163227768031,36.78744981515563,40.10979542393558,37.6633791152623,42.90876437520172,44.43186047830118,41.74183769425122,40.51818001699904,35.77852177916078,35.42804765669439,35.41825392566732,33.22903070770188,35.05078436010341,34.981507214069204,35.67105868617505,39.36997763171957,35.10135792979239,38.668815779833196,37.755518168803356,41.89610680234479,36.59020001410702,35.310152394626016,30.236564827297496,30.677461726141026,29.868389163369564,33.83008796850964,32.89622314460577,36.40067409517615,39.43564666964326,38.55522868929881,41.862879763147404,43.8366186336515,41.07200834129302,42.88991911218248,42.69357750126296,42.696770886833214,44.1066442698929,46.30301747728696,50.17443638788029,51.74585283181931,52.786138217965615,51.98094524524406,49.27144414500165,48.262779515123476,48.176727820390795,45.135550318529745,41.879667885496104,45.14835618962914,40.00010085908046,44.187072509289536,40.275597948837344,35.88894724229467,35.68539010935532,33.397965166538654,30.76949477600838,30.42095676930914,32.76124226951641,34.71090245709091,39.576314901544805,42.927643012322854,46.21374731448303,48.97065367040379,49.72955547376412,53.959525908026485,51.01816285794413,50.97472499297011,46.55644441485959,44.64475854790678,45.044642488459594,45.05175768989591,42.72110368370155,46.114123505949884,46.798389328527044,48.192190330737546,43.660210453625,43.93337381842987,41.97878386492655,41.50462305155058,38.75016967666911,36.99035411022784,37.29046153632877,36.242438468171784,33.402306244749944,35.6630503070201,33.548230511365446,36.45528678025057,37.57305823551147,39.74042115978633,36.59874633595271,33.81783125488283,37.57977724854812,36.97135287813497,30.900737367980962,33.6864327410762,38.95242536057823,34.634448030026725,32.70972454042065,36.10763198493654,37.32403397777431,33.0425907262183,33.23980627160636,30.686685696491356,35.49179451841856,29.37065676483951,32.45679274891991,36.24790459680097,38.29544515011108,41.46520911872697,42.34875380130709,45.072241008842795,44.05964563360545,46.925705080567354,46.26507941040253,47.58419007928479,44.680212165773824,40.497474557521215,43.06513499486942,42.69395971904064,38.132101657441275,37.78899840929174,40.30091937465582,36.539219373319064,32.9526989298403,34.546942798322554,34.244801775497564,39.793705177310464,42.3774119484396,43.524031971015226,47.3065225868232,50.393721276932794,49.51841053960961,45.66327796003576,46.582169520123585,49.785368966510326,46.099075465741564,43.3597048320491,46.8916708182129,46.55430807395669,42.33925267485237,45.025167441051,47.14754773515055,44.0107784256605,42.312670915130106,45.03312277043753,42.29549191081205,44.59081280931545,43.875324276379615,44.905930770932976,42.7760097142644,38.41483098899414,40.24506464328187,39.12826394984879,36.20773638009691,34.68582464811803,37.587713804240444,34.2708085339522,30.528010573841478,32.127537596017156,33.8763152792996,30.34844633584093,27.370380888227274,24.91321066752264,23.188420282974928,20.59105325763442,24.824576326029568,23.305994720305705,27.037125895871966,28.017037887490407,23.257569057454646,23.065879407740294,21.128507222674305,23.208310651213296,27.83179556983979,28.84229129976623,32.43972927823041,32.14652775568022,33.70243540208877,39.1843818451518,41.167834404832014,43.46291320603501,38.58360387051994,38.17080408588846,42.2584364179832,40.775970666796255,36.71584548818478,39.524305830919204,42.49203502131468,43.15347336015118,42.907573297350396,42.381472939316865],[36.601522560022225,33.81945224442678,32.101379851750686,29.71617774218721,29.767912503278207,35.82790529262416,36.901761708777855,41.20542372690027,42.332883759721106,42.06207220597605,45.64821758504133,48.5112339605847,45.386046551607855,44.25439130216478,49.04425644194872,49.284910691131834,45.437836825971026,48.47950407341675,47.5243785131248,49.13764998620532,50.675793446622876,52.29303699325156,52.16632807991621,49.1581903923163,47.42580337061063,45.6311804277266,44.4112337861983,43.35299322414519,46.86777936208959,48.59937744431069,53.69021937149979,53.38121629003547,57.8451962324733,60.06170662570912,56.35953717688538,53.10456502003667,51.91711948579332,49.09565293163086,46.2870742519483,49.036810256913405,44.71983920191002,48.52927351214242,51.8963086107763,49.52900578175513,48.056873102120925,44.71508358180093,47.458178808754624,50.54825664849698,47.04142988503037,47.21607698904285,52.17624285866482,52.2331981404771,56.02819999851578,52.27047364363263,57.97557418038702,59.82906976426853,56.38744040921009,58.16325530615847,62.46116271832594,60.36128907294745,58.23706682575638,61.66344004993242,61.79989203724713,61.7898137290532,58.15997666203022,55.94254335094048,54.30788970078201,53.53805091616334,51.08956690993072,51.492051184403564,50.033552894996916,52.66055755331473,55.05975365012481,56.199617102342955,56.69025316156322,62.14217735841443,59.412966480567135,63.33879528318745,60.87251177200518,59.67024413596721,57.97601103440743,54.89433289883072,54.07726232656229,51.73774526472916,47.975990387068336,50.14645951033361,52.38957691858939,55.60843453214427,55.456155643038095,60.8133339911511,59.12341197841136,62.805679933591755,60.71292727196094,59.82569249845707,55.533612900153884,57.30898741159395,53.34265791901645,55.10644038972468,52.824619990509255,54.942127180769276,53.843570078104904,51.91702633557862,51.39773252336863,48.37240818633183,46.970148079194885,43.13821419410844,43.625144828857636,40.033968026959116,37.44995932009166,40.600760143570916,37.79810414920668,38.04129916031703,38.332495468084055,36.41955120458366,38.907337071433794,36.33225235303762,39.59454253238728,37.12459291681588,42.51319923686895,44.1591155024503,41.79192650641305,40.64528274810678,35.925905795939165,35.44921911976434,35.42248481617131,32.51259711994618,34.34457581406361,33.64298777674604,33.90398556255622,37.18837545560607,32.58455037629142,35.78484430531173,34.67579776062379,39.11692232912288,33.948424894001796,33.26637111747479,28.148133349250212,29.033941305929527,28.71887518597375,32.524701834127455,31.86554997406546,35.009926650872565,38.224406184876685,37.27396216666451,40.33616688834145,42.61127683957222,39.99361327184155,41.93092508086709,41.612814290637886,42.07691039572249,43.31220019128364,46.019467689988524,49.63209779101433,51.766649235788904,52.75051677794338,51.53123739111779,48.771610379143,47.363431804938365,47.24720273085472,43.72274792072881,40.238054860306406,43.59220034232629,38.27749725258851,42.16329829506538,37.808107026249374,33.53088151878363,32.77098062425117,30.228596591345674,27.58643922631363,27.865301039259005,30.125345892281647,32.57279519450419,37.22599700126183,40.683590244793784,44.17022699677897,47.015493485564825,48.21459897494894,52.073202851461225,48.89415088289974,48.62664311441446,43.99862856555008,42.3340984438476,42.12948494722657,41.82575453970326,39.72238873020222,43.20537147215859,44.28761094427525,45.2360717170685,40.79702646948556,40.655992993357195,38.387258191924566,38.182359194796035,35.166084617547256,33.49310146733738,33.70754668074748,32.530901871772365,30.16778716978068,32.50570006948939,30.782879023079495,34.122245306682856,35.214619848833955,37.83359864854911,34.90101125112182,32.018361476067334,35.912014318221836,35.84504372201726,29.921946753482477,32.549708601037814,38.069669809942454,34.33149203854873,32.47367490889592,35.902324755468456,37.47457849531537,33.56048047869913,33.68348179516362,30.751324745223364,35.41176042965959,28.652710812974323,31.437549784543222,35.28672599911518,36.69742172130365,40.151443646143946,40.46880009850359,43.053816170169966,41.72507418231681,44.33061715929424,43.650776944214364,44.53756975037844,41.72620915834903,37.779295215475855,40.012880409444854,39.255047742815975,34.90443234916126,34.582517015318565,36.70181814964467,32.76651017288381,29.482916965533683,30.97347315519449,31.328935323532452,36.86407263366405,39.372295781744945,40.99552912114199,44.768554723377065,48.13639570940534,47.336156644056125,43.52022202416742,44.68800221068443,48.129560717135696,44.59607010243411,41.97509178389906,45.82874570900895,45.78733846938281,41.638072011166365,44.15930923867478,46.62496404424276,43.902130435064095,41.95249877479426,44.469506735061685,41.45582793890741,43.30940092330819,42.2842833321324,42.95892473435548,41.23964308648424,36.983706854313056,38.180126754096214,37.10028559739147,34.492615851494534,32.519407759856435,34.987037279536764,32.010978811825765,28.435220224933854,29.31303086747958,30.904001247766143,27.758064870290738,24.973273568973134,23.175759970308413,21.22222802946183,19.483127036975393,24.115515256366976,23.048884437312317,26.373855819278194,27.965623631789715,23.437020826186046,22.44320837154712,19.891887959022622,21.377558047261775,25.945163441781474,27.328742506471766,30.453242909380133,30.768931743977426,32.79552619911239,38.00271137373027,40.084124040742125,42.64934996651659,37.93895844735985,37.753849228277815,42.03001095531156,40.67995735348821,36.98979177470024,39.755086801431794,42.97786802938206,43.6487001648813,43.34691629126305,42.99117009223258],[31.59911595924954,28.66986106345127,26.72434780001574,24.351761706844126,24.23047385962191,30.352235770569767,31.464249579528378,35.73199051127082,37.002683007414575,36.89979548923187,40.53930562512944,43.25619936245696,40.26644183422026,39.32398580427147,44.14030832367415,44.32523014118331,40.65580585738207,43.92704087223949,43.379630632641835,44.91820794806325,46.778361933088696,48.525696583332056,48.66948592530122,45.89359111689197,43.832392203061104,41.82456766009863,40.28752471182729,38.93455757590696,42.232407015710265,43.70072039278228,48.90480696569019,48.34495610927134,52.8068995453292,55.20140921092857,51.51753629325353,48.42903846274996,47.0528820527518,44.588033841644396,41.90634659198279,44.8582159005785,40.76219617629995,44.55333799810856,48.036014442868264,45.95110244036545,44.829580214370424,41.56165755250026,44.60129744294221,47.34161932420125,43.47970846378187,44.06285715841641,48.83425883962323,48.622970619399084,52.38492867626546,48.39148280410554,53.922401929787355,56.084251976318285,52.662726537978976,54.09317402679725,58.52793768051583,56.780086138508246,54.47176461045431,57.73343267236964,57.66851579929471,57.974334353251855,54.396786225539906,51.895301682184346,50.33031995941191,49.256123810656824,46.960819293038455,47.107428718139815,45.834729586605405,48.61174965400509,50.80861670524464,52.140067005654494,52.31625360027821,57.860012213771256,55.10465342700631,58.881285310807996,56.42708945993577,55.35227418049403,53.44785258684408,50.50287348577514,49.37940755683037,47.23003187731708,43.5411845295852,45.524327407655,47.958251951461314,50.90852843398129,50.95744255848724,56.140169007775945,54.51724950930089,58.26868394613546,56.03623808078251,54.968031677078,50.61700852321814,52.39319074326434,48.39309652909258,49.97649365626998,47.57829192274484,49.53816917497078,48.56844120714699,46.5182999883537,46.18608523874262,43.0602663716823,41.88489155551777,37.887858769464785,38.439801976480396,34.96176829477899,32.18594306811639,35.22704486356313,32.32442296389552,32.6861393172303,32.94125957538214,31.222658080542242,33.89196870655225,31.54950518349581,35.02418534614897,32.88217528988792,38.52568184521452,39.768619780790324,37.42054506417158,36.01457500794131,31.369583796400413,30.572718710497725,30.26203057644362,27.289448333025486,28.861322222082116,28.279785340840608,28.578996562079546,32.069641023941344,27.57492901305677,30.996479195935752,30.13021420904555,34.36998755423613,29.217258185563807,28.290773536229043,23.073877097015707,24.1548350913442,24.022889809047697,27.937126963381306,27.874162244141672,31.368096508955595,34.21524545873831,32.92549517470478,36.02614775504075,37.97908601204643,35.2260253125295,36.90596423275309,36.40636565657998,36.73241061162239,37.84545096810947,40.53759892042717,44.10631649843303,46.252862505787135,47.280920442339394,46.07335719111425,43.39387084874266,41.95024935248144,41.994716257387026,38.45958283506579,35.2151219068184,38.78095742888536,33.69529361701372,37.71253206202228,33.64428083771647,29.554233183848808,28.808915718159362,26.78936920280256,23.758902430250558,23.66101307130556,25.70357182349029,28.00316290731269,32.68159494486323,35.99047498039423,39.377147618869984,42.04814321504698,43.196495590973896,47.109476579458956,44.1640411102757,43.86683319213997,39.47621344586082,37.42664793966918,37.62070311914145,37.63890836882604,35.48998870124542,39.22419532650431,40.25753634810389,41.616358497556455,37.5279049248185,37.326965631873584,35.27351426376708,34.53457284050607,31.517331157877962,29.540801843759656,29.662333305316402,28.509604258911434,25.65337391489309,27.9257255660989,25.970388165061255,29.02549966743165,30.31057709834435,32.6684233961004,29.584661327765488,26.91146718059833,30.900097970442737,30.565151927069266,24.64940695309819,27.581304892946452,33.02280888943828,29.127748280830144,27.497970375712487,31.086813978597704,32.431371552762926,28.606869836289853,29.12300675016054,26.170850594472437,31.073557031785825,24.657746301194003,27.068470519061236,31.080929792292718,32.84587664315294,36.59532530419584,36.93790446090096,39.11596658068595,37.65939749263307,40.25527340391685,39.2514010158213,40.53614305625968,37.942433957733485,33.51492356058329,35.80256715167966,35.607800546278014,31.134738577978773,30.459772477115767,32.83659339748163,29.427684376680137,25.781649152433328,26.899732566090435,26.80070099185272,32.18852862890213,34.85766817825483,36.27647084751334,39.964428891989336,43.31681335761054,42.29602121555739,38.44467079206722,39.722651550173275,43.0043190094077,39.31303278082753,36.80852670912736,40.66163872507774,40.51319107479331,36.41562718193957,39.16792747041424,41.577186977888914,38.78876706133257,37.063996756951724,39.74433316664571,36.778013409942275,38.64800347338608,37.47227337950549,38.457980056791676,36.87194411755617,32.28905186866933,33.65445951451719,32.955422409193375,30.21604700794869,28.04488419073764,31.12612907931102,28.410362024052723,24.2889159090746,25.30601913182087,27.60639511753127,24.634107456109028,21.36200214607171,18.94462530460651,18.01598216646819,15.828226024509037,20.446556731508494,18.570467233366287,21.540086381233074,22.8185929117619,18.42372658847305,17.276213489671782,14.993961647244618,16.323166096015864,20.958912675364456,21.931462719957388,25.17848938078792,25.293104841005984,27.284245625547783,32.524621997623484,34.662847716912275,37.1295571408465,32.39551689220789,32.306871973549136,36.5749023555671,35.14945283360947,31.559308031974325,34.441318509484056,37.72610811566544,38.48527404214195,38.29862165071932,38.098531230213695],[30.056338906406317,27.474237749321084,26.25827582280442,24.100940531953505,25.075856852101555,30.703464866132002,32.33969339861831,36.677185827185994,37.75905553522492,38.10069680650323,41.66238190471688,44.378420370295245,41.931461909826766,40.76933095567476,45.76652561405047,46.21077264902992,42.80638440831462,46.31305760764443,46.05586588122697,47.860244310566465,49.884010409511546,51.93761180200089,52.098760621890285,49.43596162192352,47.341245597703434,45.016311069009575,43.44900270497278,41.740870307703574,44.82731857294021,46.05980364521545,51.03634652315445,50.451109735850196,54.81069782014075,57.492401957343965,53.98635712631687,51.05804643575639,49.67161953591599,47.616689936289816,45.15377000166638,48.4600240447621,44.404120087534686,47.99683864526655,51.66665703287943,49.79429858061591,48.80387659294203,45.67032723498066,48.85842139118119,51.457851754460684,47.49071276161109,48.35915333605409,53.0307495837472,52.70321358302052,56.41067343142706,52.24168625780161,57.63210831398238,59.96839441718298,56.47434443753615,57.63444207503061,62.18102639287929,60.62385445334607,58.06827182445878,61.09413328511053,60.780635237071756,61.19997636861653,57.76609148507045,55.09910233571576,53.24031262921965,51.90582763953085,49.40568772764059,49.197353459350964,47.8681956793998,50.49105443873362,52.847554174712485,54.54455034362502,54.70554582520308,60.4333313440647,57.93970109191029,61.63380053933681,59.3703493447148,58.54700502008936,56.58104877296684,53.88153661456816,52.481546034985676,50.61054157439382,46.976067981381526,48.65970027488842,51.15103172123496,53.81326073243829,53.85247508119102,58.786999240961144,57.00258910591241,60.62280830007512,58.15317937503331,56.90922556428041,52.41729346002342,53.90841336075938,49.77818729784444,51.578506883985945,49.037015014587254,50.757848888046915,50.389679087147975,48.24669525331246,48.42407088366078,45.16888604512052,44.498812579542935,40.172931672835446,40.65456328799055,37.376157546400584,34.192361770713774,37.077209498793366,33.92037559372374,34.73052340676232,34.57821265540041,33.32130373717993,35.89987196423324,33.7948663577618,37.467716380840955,35.55263065752696,41.20582289780386,42.1340165355153,39.53589660957015,37.87988921908798,33.27553208123667,32.32471816825138,31.698844489025113,29.28192746961497,30.290324588263836,30.36543070797391,30.763174606170658,34.67378957141919,30.28356778644264,33.817452996002295,33.44797148644671,37.473117151402626,32.48268392792635,31.238621286694478,25.950374247203932,27.139310689356353,26.88511490525652,30.94160188986301,31.033418369928135,34.876266484469596,37.45446494924733,36.03793401232823,39.28236468880677,40.84499054994426,37.90998313874075,39.25970036843176,38.6027334784076,38.40323361330267,39.331107935315536,41.58020523069657,45.154842822173116,46.73974353292419,48.10385074197383,47.32086972397374,44.887161906732935,43.62409133273423,44.00624792508955,40.690988379607994,37.925355336219354,41.66541477167758,36.88352142233103,41.09622856358103,37.39029633361822,33.40536962838953,32.81277785228738,31.111989694083665,27.91159395198388,27.498512899850354,29.371054314492437,31.411741467957594,36.120244001263174,39.23711106906869,42.44940670716711,44.8686928693823,45.81542808557275,49.892368404427444,47.294191342244915,46.99161611633385,42.911138977373945,40.38687888804778,41.04240690725699,41.35329941303125,39.22851925186563,43.13931686175558,44.06043767894887,45.73527254879343,41.789941675843416,41.645235939713935,39.703477239230125,38.699659917069496,35.6591080831848,33.45560946403803,33.3684708710583,31.98642008445548,28.790203418287255,30.629273691411818,28.10005929232654,30.913462773642753,31.718482863377606,33.834751171876476,30.817068127090522,27.799354720743978,31.430352875450062,30.894899380603306,24.812933555806616,27.431848978956427,32.712801119960325,28.550537407376833,26.533764279102826,29.908627775258392,31.297003238685047,27.146242181059492,27.234156853701123,24.54096817591328,29.348287755827524,23.194777629927316,26.18024308000801,30.009202736008437,32.17407646119743,35.457448879291775,36.37201463512752,38.968004638962846,37.99932997839024,40.94390751572072,40.300328511390966,41.834198393598975,38.907885479791894,34.597011003633575,37.37034111680918,37.25487002370355,32.56239158028422,32.24413148003504,35.08682344021749,31.46512564098386,27.63800433547882,29.530102542751518,28.641795437983806,34.343759871365954,36.80703583880862,37.635507527234175,41.48333741942885,44.37051856087686,43.64489608028113,39.8125677956382,40.46962439644483,43.692543364031025,40.12552077688758,37.22478373978159,40.71022923182866,40.4489349546733,36.19863531537222,38.76778601812988,40.9425105627977,37.92728104341359,36.09590585982479,38.77051352078246,36.00173712993267,38.29132357481145,37.625503139773066,38.70074815082804,36.516208172720845,32.13315034672635,34.0837641354585,32.9884018505611,29.99307268341556,28.578023168245828,31.680359937798713,28.35100586214587,24.43944513011859,26.34203260321699,28.311091316577517,24.73567314780617,21.53280299753962,18.755840821508244,17.43923338798501,14.527083893493593,18.75742085965753,17.06971193196934,20.764749560685047,21.98259081585148,17.262550712760977,16.945043181033345,14.933264008400121,17.255111830505935,21.802285185697663,23.13727184715184,26.901167175218205,26.888148459465093,28.053542231978682,33.52351217088552,35.28476032365612,37.83251072145151,33.05946661905412,32.33976885326162,36.4960680053165,35.42297617902623,31.235083364445888,33.74807071220205,36.816611409445365,37.46626403241423,37.18090223402353,36.727209552397],[35.0485250005975,32.50204667302605,31.192646241915693,29.44418183437901,30.134403629436715,35.97301861243873,37.60032692340351,41.866059511865835,43.13652709568881,43.41869919242191,47.01872160751197,49.69633920918877,47.07787155228966,46.02717918475354,50.959604676361636,51.28269343166777,47.747792019246866,51.113187366283086,50.60739521456407,52.25677151298527,54.09383626972411,55.874289036736194,55.941296756112685,53.09492959740752,51.14369526612582,49.13009703227839,47.65811431643911,46.252495877367025,49.49748610236149,50.85774552149303,55.99469440886268,55.37626292366536,59.79942437819069,62.34656054425754,58.716879576570214,55.701480901623555,54.26688831756453,51.94397721211548,49.28195528385282,52.164821162228165,48.123458965687355,51.938184813225085,55.39868593123211,53.252747715544736,52.03677895766947,48.706737935046284,51.61401267570034,54.49535701052695,50.69666844002863,51.054273281909886,55.894342291398914,55.69122760371347,59.52042487516275,55.63115185832739,61.163684035289045,63.32355920714298,59.967958800577975,61.45213930837127,65.86101244523095,64.06435421217361,61.82689267447503,65.11040866544282,65.04101859984856,65.30702850749796,61.74113420137958,59.26856289224284,57.60967877954626,56.51311815975259,54.08498546215936,54.12217925390874,52.7606247199997,55.39668815013759,57.7634364412913,59.23097273170189,59.48558397320072,65.09536233313803,62.432958871949765,66.19815526927826,63.779944426434845,62.72955882532997,60.76889657115166,57.803525593125954,56.562459461290146,54.37575415584357,50.77854797975022,52.80219601140838,55.31769178832803,58.19063100490515,58.30033743270738,63.4160238676908,61.753111885794816,65.45263244753765,63.12200563549324,61.96818818882208,57.539253979686244,59.15255338030083,55.067161422554214,56.75303892928216,54.22745438347299,55.92387128060859,55.34702511517833,53.05669258262073,53.05893820493624,49.665026272990346,48.53652305118639,44.37971091709037,44.53644364562636,41.03863471324721,38.13466746402174,41.32944451858282,38.476936273336584,39.355458297058036,39.55345170411373,38.17883349365321,40.891390324463394,38.67148414815132,42.222166073865594,40.108013356754604,45.69373469116485,46.91083937805911,44.42619624742035,42.93546726459169,38.285952276303355,37.44442846087741,36.92572117883445,34.20032732848957,35.236370824828995,34.95594761108587,35.02509590260414,38.63110728956345,33.89517681477468,37.03459325771962,36.53143938166659,40.89073754495116,36.02652173704445,35.3030483748711,29.970106315426726,31.408548818135,31.342506219908124,35.29045023009918,35.18801385570701,38.66902142887685,41.56910649446199,40.3017121700741,43.412286481314126,45.302950259880504,42.49646641140619,44.017085828340214,43.34824183998389,43.408093157233665,44.22914731345059,46.711445857372404,50.12444781492028,51.90199216567469,53.3236261123473,52.38976644401459,49.950905664724246,48.480532169057845,48.84804727758254,45.24761406144655,42.294378334213455,46.02474789630777,41.032000473871435,45.02371879061047,40.890554053219496,36.85608687120355,35.88256612165847,33.73111731037791,30.6835130065213,30.892329229052063,32.81775722879947,35.27437007071681,39.856388232281454,43.110777749625086,46.502258835902246,49.031054752554425,50.27771853568253,54.10894454566066,51.284446687099546,50.826435864685905,46.51275232598307,44.25994263448099,44.33337638766785,44.28618782721944,42.37253830132535,46.269579258337494,47.492567940474,48.6666478469342,44.574476190110474,44.17995820157754,41.8763629537642,41.34491558196676,38.06339062625476,36.02618413363355,35.841474812891704,34.216521040599375,31.599795746941343,33.383890731267165,31.099036949549056,34.41540479570746,34.84182512838246,37.452024533212914,34.759654089347244,31.3453729520636,34.850821533432885,34.9182440742813,28.926757778081637,31.004438735336695,36.46061090000617,32.852552923516754,30.563411511007004,33.68102073205748,35.572982686016516,31.581935750596966,31.06795558156503,28.23398211063093,32.55861228309143,25.749243441160132,29.018904157583076,32.61908098270408,34.077870592336446,37.087763646424385,37.77284333393214,40.81151161679738,39.93242660682936,42.83405323540905,42.6274437502253,43.5882880835886,40.38605720615707,36.73682420786582,39.42079377917655,38.55418094011271,34.01936316337863,34.18183133682433,36.724354644884016,32.40998186375624,29.024645848282272,31.500146969826407,31.166876535922906,37.143393252878774,39.32790533154742,40.45089443069148,44.44134165391583,47.356298526331365,47.01748455934189,43.253117733811926,43.74001530155913,47.267009022204824,44.019872428571205,40.94868213009745,44.52715391664195,44.55415254793307,40.26710726557582,42.40125196743159,44.79310693538964,42.098735853807376,39.82548238148225,42.15765210079813,39.22549715192132,41.30644997336959,40.75026796065493,41.29292977637198,39.063872511382066,35.176563241393794,36.695628899418345,35.117430963556274,32.40393381470836,31.120086241333063,33.322534731390704,29.773585456884167,26.60898779169961,28.155810248811477,29.2239152149944,25.538714459790203,22.98695023905653,21.22791005664179,18.61392892069875,16.70524746235717,21.016194802328855,20.651966756516977,24.4732738252667,26.45114022213932,21.82705264896338,21.22030823278209,18.565690143517923,20.77102690689846,25.167149698418022,27.284567677591923,30.75086199790984,31.350589332383553,32.634249000073986,37.929391589515575,39.56737485475409,42.44381326194923,37.82257082065827,36.96373760781086,41.21032166130558,40.45063970006048,36.27193305586256,38.48193358038991,41.58804003025956,42.11812623853619,41.64938730404551,41.10927877866119],[34.99945280417238,32.13681141644738,30.15224550554704,28.728006681200007,28.50857628539903,34.78136962765964,36.19879349188488,40.28993771629528,41.98212622918935,42.1742497332476,45.87901630241665,48.34486127488436,45.453434246988635,44.83199286569394,49.599847186958684,49.61007204602554,46.03293797523338,49.34991380180111,48.88222470597955,50.14188670388655,52.027414983497906,53.488131446624564,53.73404652986606,50.91259879684809,48.80029622756536,47.06935581371774,45.39544254500352,44.18283658628797,47.42538357227053,48.738507406739885,54.230648399535426,53.329071750584525,57.83595951617591,60.27148332474194,56.46634683250921,53.481702613688945,51.813614317233295,49.409231219456004,46.59534240538073,49.03634290112467,45.27186543120993,49.35735828858523,52.589022166997,50.36536544664416,49.228912195081236,45.734472538547514,48.54709878918868,51.403175846760085,47.49482596107402,47.58976520425246,52.41297581574784,52.126829356793365,56.04610144637204,52.324775739027935,57.84811271145757,60.0441418190538,56.916750405141215,58.50250971398089,62.824038814744014,61.0699536724884,59.11156944986188,62.58608030667849,62.68484330180834,63.07224957529694,59.37447863770158,56.9056604101387,55.69438997353139,54.65973619447022,52.59418165600696,52.78711254584224,51.629444500043356,54.49683129639244,56.56020215361366,57.799690987987276,57.82153388565838,63.27731973360182,60.29310834054393,63.98990349686519,61.34085152722112,60.06813286019484,57.935223068550734,54.73601838860441,53.49003663255193,51.05056937360512,47.578879096685014,49.88968928056666,52.58117536513043,55.5093188621011,55.91013858299584,61.116761272368635,59.74613397016929,63.646299195560246,61.44666714854855,60.289513835483135,55.96017464681748,57.83561837725073,53.84794744671053,55.10591128529241,52.56149343218628,54.18047521637919,53.22276147704587,50.71345046279488,50.48001369780936,46.928503142530346,45.324265528264064,41.372798192702184,41.29561535513229,37.62167260512531,35.03582072538542,38.48251545538562,35.98303812520047,36.84817285395902,37.552608821981025,36.08072497703592,39.12670463321135,36.96353183403777,40.46958769554131,38.42323404822523,44.12660788734629,45.3499759101036,43.14832866113203,41.68559402054163,37.11058145907427,36.12205994614675,35.55289226452174,32.254255910476566,33.253070041014674,32.45474050134736,32.164848806238936,35.420948949888846,30.4559265133906,33.296727893577206,32.68538953240676,37.2320505326656,32.52843939721408,32.27474749792868,26.95134604265979,28.800514592944864,29.188859864224778,32.970516776189925,33.224878092403905,36.45369155006518,39.38147547462278,37.99411878530574,40.88264331292769,42.932841037154894,40.243067929501706,41.79972760362901,41.00529287309354,41.42914810173932,42.09088297485026,44.98860918975683,48.17064081112012,50.42954027848309,51.77658047553852,50.49268267002582,48.02651099736313,46.22939361655579,46.58513447476383,42.60757664847742,39.527061554292615,43.34071982381077,38.3028913429435,42.03940736006871,37.63978780200925,33.78915589554756,32.35296667852436,30.148131781236707,27.01862078824515,27.682500367588727,29.446317464896175,32.26421353569389,36.620667343221996,39.9030739740136,43.415573378988974,45.96748239305295,47.559484984567355,51.075923957295544,48.11483702569258,47.46707367334815,43.05686281244108,40.94246923986849,40.59222423216361,40.35710679050817,38.63962109625958,42.65087591524059,44.1848878146012,45.079620190746695,41.18923217221656,40.432933216428864,37.935244184365835,37.493662797138455,34.005078559095324,31.972027533830197,31.678458453186433,29.94115520923169,27.651408308238477,29.466373547940993,27.498590555704315,31.12468954835297,31.59018320640195,34.53218679234725,31.996980927329073,28.586566847616997,32.23351520102788,32.71124385584392,26.914226337489236,28.935983206880664,34.56627940845025,31.446162200218392,29.332448713645444,32.518354711426966,34.61403891807828,31.006955390549074,30.60385113411651,27.456594813555167,31.708417054256785,24.480422210762338,27.29419925734017,30.99388085075177,31.956651074880664,35.35379730709776,35.49103472091257,38.24171650207732,36.9977605002584,39.63961516148264,39.293025681686416,39.9689858998089,36.9326267830663,33.34837257523168,35.717245610444564,34.65376662833359,30.27982646491565,30.34921217451602,32.58441353939082,28.247686332763834,25.043946804756654,27.32614365354046,27.498677299457135,33.402036900793426,35.56343421672594,37.08284103570017,41.02558592018031,44.20721510365528,43.84823703305773,40.115241362194034,40.89089213445901,44.567634414974705,41.40693774602924,38.51361952920365,42.37850929454939,42.627696853137785,38.44532142531719,40.51806175289852,43.18811979559367,40.84241023957344,38.45690180779971,40.66265754033729,37.50644898066826,39.17154912935452,38.2621973278155,38.577682656294094,36.80195611217004,32.90454817827542,33.8623893023273,32.45935632106792,30.014765259343303,28.214787701266577,30.18734940616689,27.07354236700778,23.89744823075308,24.74672852379927,25.883189493648324,22.645401785864642,20.133834744845586,18.88088620064837,16.353749341778393,15.259722943018206,19.925664992569242,19.718352106205902,22.96897925318417,25.362402189049174,21.070206471910932,19.695960964559685,16.577913905811382,18.110095024556575,22.41229245178897,24.74363399975106,27.76113795746848,28.848245570390862,30.545175775928605,35.556553231866644,37.3070950947646,40.356871214215616,35.8995014818939,35.31068046885276,39.685968195518754,38.97879435140283,35.20844573577593,37.44014953530956,40.76765232204009,41.33715578776934,40.87508540514558,40.54394216463623],[31.374096628087532,28.410881311883244,26.260679617505936,24.93877358326357,24.597366773631908,30.892663275017032,32.36661285925946,36.40632287722953,38.21678828903077,38.55885616874075,42.28666898970027,44.62691188931161,41.863260428860286,41.389509472561365,46.15777790172936,46.128978014653526,42.706638347071596,46.18232474106044,46.01698460316257,47.22080908877,49.3326778429982,50.88638482255004,51.323426634146564,48.677956595070945,46.34263071329076,44.46271009078054,42.56999812102484,41.143875576476,44.20639899081889,45.31222333380137,50.867349660374934,49.77937400553094,54.27130580417246,56.8378050784336,53.058235783346696,50.20911039196694,48.40336876411836,46.278502136201986,43.571536669846054,46.153682471315044,42.565753904927604,46.622338372741545,49.92853319944127,47.92002343714062,47.0391192173618,43.61043545036235,46.63032633519449,49.225024481309816,45.06963438232508,45.465818355153196,50.138129108092784,49.658421596287056,53.54425707105503,49.65704676897315,55.03784427649289,57.45644720618847,54.345381004102535,55.67374860610729,60.08704017109944,58.59140672228552,56.498958300909926,59.840069904088686,59.78928929887955,60.40347032222406,56.75560640910119,54.088437466094156,52.92455240267052,51.670916131801896,49.719562952504056,49.72109013661053,48.698581806515676,51.64898484471044,53.56930965335592,54.9456126974903,54.74932058802733,60.25618102424294,57.270916067761796,60.84924556491269,58.219775999879104,57.04810528900074,54.76616624009399,51.67851694158221,50.202929622100044,47.908266831915135,44.50526959290561,46.669006913089326,49.49799335023611,52.21447670521114,52.763812995435096,57.82457506169693,56.5039880282056,60.439843611664834,58.1413916367457,56.85175157473235,52.488430885549874,54.353985843656325,50.349526436977385,51.4723301487523,48.84242765175392,50.32650767147723,49.48180835473624,46.871110620931816,46.794356408675036,43.157146816380404,41.72665869771139,37.64469552546482,37.59114984415535,34.00437156133181,31.260067280927853,34.63894662293424,32.07430570116153,33.07190480564037,33.76156998183247,32.474087002027396,35.65898678381521,33.696868657956365,37.33953738373789,35.55521483215996,41.40184072041627,42.321875670506486,40.1457308393995,38.497684464003235,34.0158690603466,32.78709496734291,31.98787269572377,28.65635661527717,29.386092446114027,28.68798168079069,28.387644484864587,31.803229029402555,26.90331270674059,29.893454329942635,29.50543513386256,33.899599045419535,29.24008717234347,28.82787572716601,23.443249555057026,25.511153364011445,26.072351573294377,29.88144427690372,30.589616845670715,34.037522708663346,36.67622002421372,35.045341210439595,37.94089033701802,39.73776669103857,36.957068364664856,38.3034865238376,37.356940952731826,37.66430826561271,38.20646326224529,41.08390801163858,44.21545891864127,46.47148166187594,47.86542708427461,46.599657787633,44.21174783640935,42.38421943706829,42.879824359059,38.89179626155583,36.02456558265215,39.998826286467086,35.16483072836272,38.976704309108165,34.81456645405495,31.1332171407019,29.69368169372778,27.901048645681144,24.487706280647277,24.895801934760723,26.45274178379136,29.162322416586804,33.49911532176153,36.648388610853395,40.074900111371925,42.4797775022922,44.03692680503681,47.58279594658028,44.81050509810544,44.133665565153564,39.91905235001308,37.49941565128109,37.452392745992654,37.466767169022845,35.728697084493014,39.92952807623903,41.42719639005278,42.6226255329254,39.00638848399911,38.209491147273745,35.87644773355115,35.03577740058383,31.545491809123682,29.27443071268495,28.886046840256803,27.139978475157715,24.47117597895411,26.193233828265885,23.995417994031445,27.427936236442694,27.999913201984004,30.760095034110112,28.12162182416064,24.809560323101806,28.53348518186764,28.82829593799495,23.008781247618735,25.231833081128364,30.83846883158154,27.609476302468064,25.63740019724232,28.947731497192517,30.900849555210453,27.363920599513886,27.22334409385604,24.036816211979424,28.487334004507073,21.466771890668138,24.013002492910825,27.869059995236487,29.130793683802562,32.78940643521289,32.96104653924452,35.40171960395084,34.05494307076772,36.713217766196465,36.11789359221493,37.12187572554642,34.239569339494146,30.245333035772305,32.69006098170553,32.0795476990344,27.57196817747957,27.36739663921614,29.846636858306812,25.906607042932244,22.36602509388778,24.413296358060197,24.18073007727792,30.036452782184938,32.31477748355737,33.655503733888445,37.55591250681656,40.721348902971094,40.205247609531085,36.43290140273081,37.27199117081233,40.84248268151293,37.562785113114295,34.731660834069665,38.60050426074741,38.77417349757325,34.6138985771949,36.85412087493442,39.488637051688784,37.093288972989306,34.856727030282144,37.187936251452285,34.05772093853199,35.75032420248646,34.732939387344146,35.293839402233075,33.59785528478172,29.426142147048328,30.5358829376277,29.41587021478924,26.839260183509875,24.886346809523246,27.372678119751438,24.427929646691105,20.76721610107825,21.77348819318378,23.511190956829687,20.369008732983502,17.39577304314586,15.596088483805115,13.896484888798712,12.38509062391336,17.12914388937066,16.307449233591715,19.31612311349884,21.561441602891172,17.378307956391048,15.831518574074247,12.788367727541157,14.256993926048667,18.65121064880918,20.80040876121518,23.929167553396702,24.933051867828304,26.555140059193803,31.589851756712775,33.360350738947,36.370226731234006,31.901966994935403,31.345218111175473,35.71694844067173,34.996811149316045,31.283390841029462,33.56606344274186,36.924599970909654,37.54758313718465,37.14685019204804,36.917029628610464],[29.007159527102065,25.826998282622903,23.214382450669568,21.733220299597697,20.747520179517974,27.21671846055937,28.432292502183138,32.392963654193274,34.32511927216165,34.55449484076393,38.310404743533255,40.56447747479147,37.66355893061993,37.38511687050135,42.05404560060133,41.89855615829981,38.50078183590952,41.99563734502422,41.97070805593617,43.0339304131435,45.26761603131854,46.80127147813695,47.38960754906846,44.87597965501905,42.36966941534024,40.46869819164019,38.412695086933546,36.93557988585332,39.91657530377102,40.9538861544651,46.61122608400307,45.41918159213099,49.92621678406451,52.46861876209121,48.65886401859528,45.85172790265844,43.970931864733316,41.91583943657363,39.23738865048617,41.8485705316764,38.380002509772574,42.43989174926461,45.751073950588314,43.8714732520247,43.17590335389771,39.79819640997366,42.95568476348114,45.34194540914222,41.03103044287518,41.64053671677397,46.19037531130192,45.60088189553045,49.44621278066208,45.460060481744485,50.758542482259436,53.285479160176635,50.19328084058431,51.38482944774286,55.83346712680115,54.48990945758984,52.345993279033834,55.6331485252587,55.53613083330486,56.28883169623813,52.65085023002385,49.882389815831424,48.84663128391652,47.50941295148597,45.72945699929158,45.708277060099206,44.82364721196405,47.89756134657864,49.62655958087156,50.97258106785974,50.603368647594756,56.072241444321996,53.00843403569126,56.520203878172744,53.857552812230416,52.69510130736332,50.344362648412705,47.29156030231727,45.75566905806219,43.518796990318535,40.125743715471,42.236196330488234,45.12139035531544,47.771564155608786,48.40941423334005,53.43437354037069,52.19622548574117,56.190855573816414,53.909599715377155,52.596937314666214,48.27615124961786,50.239254707887206,46.29133482601814,47.238856445920334,44.62691363226617,46.15234242970031,45.13005549055732,42.54882893515752,42.36060914702685,38.78222950683346,37.34318012335365,33.30039793034371,33.40899610694102,29.85129065316599,27.137656534566265,30.445032843964402,27.890054271866592,28.7086983212067,29.509841051817574,28.15165385402156,31.44295448641636,29.559060470450564,33.2105579436306,31.579244056519947,37.502296601371675,38.27424193225228,36.23088797610269,34.53951604849017,30.160204440315,28.803645347146958,27.967172390596666,24.410283811343543,25.223020359808483,24.333087991510677,24.063969237993117,27.447969719183604,22.657556091749857,25.822320216147947,25.360220802336535,29.642495263545275,24.89672736043862,24.388830178131787,19.02476086081979,21.15327518160283,21.902037224958157,25.643458153392196,26.701827924044494,30.193322926592135,32.63476382436907,30.847757530610117,33.68833328086472,35.39878493943581,32.623422382780625,33.92956512864888,32.959412376342684,33.39029538686448,33.97731860499406,37.00275498122836,40.13881091753809,42.625221161625944,43.854246758152826,42.420792163107066,39.96127810225311,38.08246642955037,38.49741214598781,34.47605887513453,31.56838194283381,35.56319434894365,30.80060759035504,34.610538026363926,30.572052715243156,27.011233810691795,25.590715921006257,24.103976811995985,20.530364559347035,20.727854726295078,22.170278820253042,24.809786683891495,29.125943807312844,32.22899072507935,35.625125470768715,38.02148437165344,39.57065183374773,43.119362727512176,40.36631846476454,39.72036237230099,35.55891902715504,33.09327385660465,33.19663315438505,33.346494822748824,31.520707355072233,35.76241108818489,37.20061114692268,38.591840306054586,35.16267374865527,34.37389288059938,32.223574186298166,31.091934481813613,27.699181488415242,25.32901014459855,25.017723512809127,23.491263985789047,20.54374269832762,22.468945614256516,20.376549639324235,23.608065907666344,24.685129293927428,27.258815017956557,24.40466898023584,21.55084416254711,25.553716201695426,25.613673304033473,19.920781379788135,22.64557535504219,28.184044636753214,24.875216970241656,23.36045045486611,26.90734099857814,28.525497691392868,25.217597509997564,25.708487030937118,22.491318328019208,27.191603281143735,20.611756185983776,22.46169356452508,26.5138002091102,27.98017877460324,32.0760429517314,32.0471332335777,33.879635163292065,32.1823679632439,34.64065563087496,33.52763254493529,34.807408283684346,32.33843503756288,27.811137724043963,30.030324776919613,29.957911467206724,25.49728260803223,24.71178823889434,27.169880579621914,23.94624964386624,20.183336931205588,21.31344430600921,21.063111956140748,26.538524916532978,29.110640768001105,30.557024333715816,34.26289075798598,37.65617390387681,36.733368555836506,32.91350477364902,34.20808940039764,37.61372506094067,34.08372881787909,31.596542170730054,35.61626667716259,35.69830430114347,31.681665131993203,34.273864783040985,36.91332541328259,34.51153691508053,32.61396925118288,35.128494659683305,32.001771732242084,33.53916736919506,32.13600605934395,32.998713771029955,31.72369346687832,27.13162841295136,28.15112342115142,27.643801352110916,25.069039708233667,22.552916864230603,25.672704511665923,23.344465296237125,19.05874885761452,19.737583079291678,22.381063048450816,19.81194831495123,16.38179136188747,14.110650356864518,13.912635010230321,12.313870751897518,16.878466829857963,15.06542625717343,17.254583583715313,19.069039078261067,15.288090912683744,13.257497494624397,10.534023258758657,11.159225395706597,15.615959426764707,17.04082820718476,20.001028381442495,20.806088327806012,22.821005125359044,27.76472428939962,29.80289109362239,32.60414546958093,28.125637042756985,28.00657096090932,32.37461009976963,31.34683591224534,28.034981222707174,30.644590858217445,34.09564653988655,34.845625654483705,34.604140397995636,34.60878543941356],[32.28224836633901,29.098725440898882,26.278943940176422,25.610189482806458,24.260523350359385,30.855504086940034,32.16599907306523,35.87923304956725,38.222182051626795,38.57579534276473,42.36658448471729,44.371308109811196,41.42907203093314,41.50610762161794,46.03616149925749,45.645328671547446,42.28686419228951,45.721778279104804,45.693531292480564,46.41655679623364,48.61971879215153,49.7978347451049,50.48396916562598,47.925035115841844,45.382422094150215,43.831599398145,41.66696401200389,40.43159258391455,43.389307319527916,44.34164262999763,50.283415080198154,48.790592183213434,53.3351613795805,55.81667849043721,51.86756424722299,49.134242444000954,46.99635027548663,44.90173068062095,42.06362643351384,44.07239560397993,40.94604830163522,45.30224623992689,48.30514627533796,46.26162193827099,45.540233772614286,41.94444756470177,44.841490986401666,47.33617320791756,43.01878967131529,43.10370903167501,47.691105017927676,47.04967568632683,51.035627581125404,47.367631511308446,52.65749285378538,55.175278929339804,52.395105373490246,53.783639927483286,58.07991403990683,56.70419380457899,54.95734511578372,58.481355363405115,58.59878542568707,59.406536852983656,55.637734333360214,52.94936187996697,52.333798761169575,51.10538381893066,49.610100994385355,49.726479072301416,48.972476702051104,52.15580759720959,53.70386230028036,54.860961357905445,54.3458620351774,59.653751251351714,56.31819807642036,59.756231162338835,56.871764768304374,55.46284526449618,52.92203650512495,49.58265730881386,48.012068437302574,45.43568916298941,42.270276638658,44.7579913045515,47.84934516854129,50.53642645721683,51.50586937813841,56.58790829220913,55.639907532048234,59.79016465021958,57.61798287797885,56.28079103607479,52.04767889885246,54.17442337284359,50.30128539915225,50.88115060463914,48.200527816906565,49.47222758744768,48.28304731593446,45.3274011179094,45.07419835324987,41.17068959076039,39.184003727376606,35.332793745966725,34.853649213600036,31.0732540336523,28.73114446672065,32.44079958867649,30.402580093399482,31.540515681581308,32.87953430423746,31.62854545922202,35.22742068287692,33.46009366724537,37.0303339247508,35.44053929025556,41.3528576264888,42.18618544303896,40.36143203223391,38.70992453341412,34.43102766799184,32.97925906464506,32.027919655619385,28.101440034165844,28.548947005822413,27.266401810247945,26.395707801378364,29.33185772768642,24.124957964831356,26.60268350909344,26.24603372098382,30.847499922075638,26.576963417758073,26.849927608920748,21.56280615813718,24.31695393429696,25.547961374761275,29.055268592798825,30.324327325755988,33.428622803068194,35.9873244800535,34.17023296553743,36.733160432436584,38.62165226131105,35.99826560111786,37.26599322477846,36.08537948768461,36.76545713493553,36.981674057162266,40.298114195021476,43.03585624700612,45.78908040832308,47.18498335863207,45.561083735026955,43.245696563345746,41.005305274919024,41.59956450192589,37.14436398295513,34.28733944685524,38.408653478433784,33.6694437382117,37.10450147917122,32.688821645701715,29.397258340619565,27.285531730398677,25.572549878795563,22.008605449174297,23.047120194959387,24.22370671811419,27.389986325003935,31.303186492816884,34.39253894845097,37.918220561691676,40.24832297742063,42.26297716259862,45.35318439790754,42.5098431641987,41.53599784140456,37.303124058064945,34.943895669064204,34.3756227274585,34.194542126175335,32.80556147986094,37.23264262066118,39.17309718689867,40.03419929133097,36.80816229257891,35.46802593869568,32.889102743723676,32.09233945020329,28.272960744961328,25.922103042331628,25.239763583664597,23.17867801946605,20.956566585332826,22.522664961824205,20.672285911687354,24.537415700588852,24.949412998258776,28.173101502348974,25.888317009253097,22.48432538141174,26.21803580552033,27.15026316020164,21.77364714808879,23.655948209843693,29.346860731304943,26.92447652694769,25.126616770484137,28.319406882885225,30.58558573303746,27.64107230974525,27.447206904433013,24.011475687916445,28.082808535215378,20.759569823224137,22.700196265793306,26.489849212229082,27.032285853287455,31.01388985743679,30.534866761459515,32.68134287628181,30.96645133873155,33.31701018895053,32.66645080031468,33.275399657007604,30.535046731116513,26.749246658073687,28.839409940667156,27.916711910807607,23.61885361690862,23.410319438597927,25.53239567976265,21.47421978473378,18.20199341898835,20.233020991848093,20.588970869568637,26.41472633605179,28.544038603917663,30.320002375463663,34.19280166704192,37.58694370004547,37.181453757616765,33.50031976685832,34.54032136616033,38.31483790754069,35.2732846367891,32.590505086836934,36.72415776639242,37.220231565439335,33.22382425257662,35.22288365319693,38.172573083366274,36.28515100252098,33.83849293587549,35.9024520013621,32.54856632266531,33.710208728570564,32.35722063258088,32.545667349048564,31.35823244120077,27.36301350651881,27.731162613501436,26.732850002990826,24.5708473826233,22.095654285931793,24.108304573141574,21.712699576337783,18.263458650164054,18.32688999124068,20.00734614670867,17.5053004550282,14.765903130183034,13.921549326991848,12.357292721764157,12.273598244310893,16.892411240779456,16.612768170457905,18.72602487464928,21.560732203284154,18.096127729223515,15.710011137795208,12.218504302884755,12.619559015013968,16.502198971159956,19.155429867993803,21.5830752657946,23.39324921518997,25.34447966019693,29.879431634381334,31.64478813585043,34.941453429738615,30.799766266666943,30.424424829823256,34.86902076169577,34.40271662487125,31.16851446085034,33.25936825264913,36.81829488530994,37.463286448944565,37.058091402713764,37.05459296912702],[30.957416613175145,27.566134190667736,24.18592244294505,23.549664012231137,21.290025734563635,28.043311306733823,29.015586355899185,32.51962110433575,35.10239666674456,35.3175525221002,39.11887571326118,40.949708030377565,37.814707865238574,38.222666033701636,42.55453689548963,41.94162623407028,38.620415769659665,42.01639309979402,42.12206756961033,42.56952495940798,44.879268030249406,45.912710467119,46.790735963021994,44.371097676066675,41.641811976624,40.195151082289065,37.82689640755613,36.640493706533995,39.49641374627964,40.362237986215185,46.48403551180421,44.80682552197688,49.370694970031686,51.77567083832609,47.753399683198744,45.08232512363876,42.80088446837634,40.74735187046958,37.88779445059932,39.72598389920396,36.84507468090034,41.28471135010418,44.186396631767124,42.23607924449838,41.714975484695,38.12692086850397,41.087421744833875,43.374166119299375,38.89619032867574,39.06529694011826,43.52457365076404,42.74698193815787,46.72220014747534,43.03661543784308,48.240360541729466,50.86516429853331,48.193500300816,49.4930436855111,53.77920334843626,52.555652385071944,50.86899464697439,54.40377424395208,54.53906677072294,55.49990179063894,51.71278686304397,48.95175916621805,48.61098724305617,47.343752233602885,46.13479406075859,46.29088758777922,45.730485275255816,49.07043246334516,50.342752752085346,51.3870047398114,50.64700900913483,55.84016348869744,52.33890146664015,55.6819268752662,52.697018627189365,51.219176235119,48.560518249705964,45.1692550992943,43.54402027273803,40.92611851352045,37.82730733654166,40.38368308530432,43.584462642240986,46.223126600965664,47.376792648013705,52.44257135265978,51.674203906124156,55.9255092767262,53.82611009295078,52.47817419057274,48.34270580595169,50.63142641021692,46.87217151770504,47.144934192955986,44.49391686027278,45.76698764968216,44.28365657128505,41.28569903686486,40.835872804392864,36.9360251755449,34.7372948625652,31.028227612055005,30.586168160396678,26.741095903704558,24.605229775462067,28.36489958841277,26.534875686550485,27.50108992061099,29.171715328270018,27.83975862963449,31.62453919956521,29.983100416448018,33.48223859841932,32.0791967833687,38.014414152822106,38.71490229993972,37.13375734096004,35.48327014778797,31.397939304102977,29.811378010052252,28.82576068009948,24.533015675228146,25.00728019265129,23.30206809698437,22.254488388549515,24.935524292254904,19.704624708715354,22.167654370163838,21.68283043869789,26.293094077555597,22.046239039286476,22.517599733728776,17.33470423819407,20.383462450754244,22.02130571738766,25.295426234222237,27.020813235536245,29.99098124442799,32.34909544010214,30.36588635649289,32.74682594198881,34.60529735064664,32.07039382504181,33.297832318071336,32.04966828723866,32.994982996164985,33.17276349521973,36.76135099420996,39.38285980923886,42.50815901539146,43.71480510406028,41.82228723111181,39.45045357091549,37.04703401403214,37.56248354014989,32.941418343140796,30.01515101252888,34.165911962836944,29.51617043693795,32.7991906843943,28.388851389655255,25.35404097378468,23.01072287698852,21.59964266591388,17.847049953217983,18.967508375379907,19.885020167197947,23.172749334320308,26.89488322654863,29.938082632985132,33.478527291567204,35.800396233211906,37.952880865996434,40.896958760526324,38.0223969550638,36.995774591614776,32.771547264799906,30.435553485686093,29.797016835932745,29.652914277027314,28.284051155373348,32.81021467892147,34.838569828271744,35.75536842572524,32.80804371431453,31.309780073229497,28.819825290318345,27.774528281522947,23.93085907632661,21.458304224856786,20.762901461537023,18.813370564099497,16.46639000973246,18.273360187299772,16.742987551279235,20.60451151252639,21.536963759072332,24.73748300008776,22.357453913655664,19.44679026505372,23.46037525609721,24.359388332306516,19.338817016397197,21.59189289399931,27.171193480676948,24.933181332027285,23.658900370203185,26.99966642766041,28.993857014779422,26.449807174847233,26.83354460566165,23.37552126742395,27.52457650254923,20.68753595827284,21.767069460956193,25.665714200507463,26.214029970289555,30.676690006734592,29.813638496808398,31.237697036167752,29.077498812882737,31.11025287389796,29.89390149871439,30.64752586476574,28.40822042976805,24.144242004966838,25.84091063988433,25.377399080622045,21.23387091768645,20.35759495989794,22.286407709820352,19.002448913895034,15.595133858012108,16.455640266513562,17.140648412045202,22.528842124640914,24.955804618776497,27.0413834394387,30.68947348434353,34.41304488594181,33.6113188651614,29.913788069195416,31.513648781667072,35.1746733760788,31.95315279788598,29.691363186989424,34.0460266654189,34.54065545325469,30.76154791470053,33.0325105456599,36.05719180959736,34.30753526184796,32.16075845093907,34.319174539249765,30.935844023191684,31.78571074293983,29.94520137518685,30.325659670752845,29.731749025952077,25.396964911093228,25.425564614373112,25.116470408183805,23.111238119680582,19.893589407765926,22.39763730905049,20.865645596155876,16.90005246609396,16.237062076580557,18.871234389004172,17.258095806516916,14.211912191599394,13.219069945531515,13.271450433553987,13.357634484157556,17.591502481101053,16.546623207366356,17.597091426241583,20.105454275981913,17.311082162892863,14.356961175205758,11.225894818204717,10.290681798227656,13.865239724576623,15.881893996267351,17.774920147547064,19.69426060244232,22.182526004286885,26.40254209960951,28.442421098221374,31.590233496656428,27.571326459589113,27.711217741305397,32.136744215039556,31.428199943547234,28.76585752450647,31.103695112663843,34.77023815163798,35.548252200431584,35.30921712972534,35.578870578273914],[34.325850104392444,30.92294274996418,27.616252530251728,26.105433233693876,23.74915701626888,30.51940071767819,30.986367691583276,34.64388207865293,36.83763851406315,36.43689327763733,40.19010041305934,42.36421775173818,38.72220145470045,38.81430398857746,43.07616365493297,42.49967453505561,38.75877103404773,41.76061773927865,41.21775555517382,41.76133405807285,43.63532184303169,44.527582595277124,45.061908845667446,42.34390855184473,39.97373730238885,38.767479645115166,36.81466876817788,36.067634469713724,39.34602865821684,40.750845286073215,46.707956033480755,45.54174159383683,50.143687780855345,52.17520204470643,48.10198379728428,45.0778949784208,43.20020472606738,40.451592044340686,37.38188024660528,39.12113649795625,35.71804176391648,40.16069740005367,43.001395630820866,40.68123585176181,39.70522107254986,36.03769464053418,38.759501260877876,41.4729705598325,37.427859186478436,37.2654320362213,42.02141224432059,41.650724819345335,45.63260497466221,42.11583102973253,47.64663041062411,49.81959216021524,46.96665427216369,48.71746582650828,52.88432522676576,51.165589818717805,49.597272329147124,53.33969448864967,53.7324705030308,54.25707962846326,50.379939940875644,47.977117567000064,47.522860427948615,46.69215766320372,45.29845339231268,45.88841366523837,45.0983511913045,48.33802501551734,49.80632830742692,50.515816339987104,50.19472651211087,55.26858658681607,51.764809166775386,55.37577303507291,52.37937522482236,50.73549161177918,48.481181235418546,44.94260602423957,43.9126046614824,41.0936087031493,37.71089914234496,40.45975873536261,43.250776323265676,46.388953404282944,47.09799231480529,52.500965001911126,51.5878906655463,55.76316398069362,53.91323589810771,52.90527012978471,48.88354076724413,51.26525132341642,47.58982611871224,48.16159524531706,45.80860481528165,47.618487929964395,45.67050874161149,43.19454700664815,42.17866848362928,38.79072174857803,36.355303816167044,33.031882171651006,33.050598087905016,29.147495517234745,27.377029849333532,30.972211192045528,29.090787654519538,29.248820988188097,30.81810644550094,28.801707886192435,32.16060163726486,29.98058221998413,33.136052394841165,31.163846583344174,36.849378413599524,38.174248140209556,36.61033132898194,35.397387543402246,31.127027859435618,30.08851280023132,29.769503065472104,25.477896776024394,27.04764854778962,25.03621275587518,24.406973925549938,26.735363834434683,21.764229989286463,24.30500737876694,22.906658385399176,27.66231659069491,22.917928755716193,23.371600418456865,18.458844082600244,20.500628596095954,21.60710684128061,24.80984959993289,25.573365988338317,28.151409070742005,31.061955463842942,29.57653742908186,31.991583817957196,34.41676999678855,32.085629344427566,33.90642226081577,33.180668338648964,34.50502561460509,35.26859972999939,38.93028451703257,41.88409675291552,45.164846132561664,45.93546715778851,43.883750338379805,41.14165417910991,38.948725028764464,38.86444263859018,34.46904655810388,30.8338570849823,34.45176527091985,29.264281850156163,32.49463862142456,27.676136440638288,24.10285148505289,22.076057225861067,19.798211412725024,16.651735721580636,18.005613919882478,19.621006518316516,22.93661991386761,26.903061265822853,30.30799129013807,34.00507474449041,36.7876196934559,38.79781621908524,41.86991699714258,38.51294136658034,37.77600606456939,33.06675183858152,31.572568820805,30.538840587134946,29.965287134617046,28.29695601356894,32.22039275873449,34.05596145937881,34.602992950228085,30.976221012777724,29.842186601771786,27.255209192174476,26.85095191672078,23.311093876174258,21.45900909390982,21.424923736639258,20.15164884915546,18.35967784688021,20.951467463538787,20.199235703984886,23.954913904289896,25.521078383557377,28.613882421554866,26.00012474161102,23.651929187529948,27.84647028009674,28.48534303927372,23.47333395745042,26.143103998771878,31.650431027161645,29.084249899330725,28.001381140813947,31.508453404733935,33.19855590196995,30.43518578194446,31.141519990907664,27.767344446171204,32.165241020388855,25.385035384963444,26.577112548286383,30.52416076860798,31.09705884565922,35.49952800310125,34.60870797386712,35.999248323372896,33.70063405252113,35.532384068280784,34.11734846034085,34.66940007879558,32.66056810745187,28.46991580040755,29.75785438784311,29.15069819914446,25.321719019617742,24.228578034690436,25.57697953314165,22.474716912039913,19.506842390289798,19.465369154891082,21.04373166000311,25.831978965296155,28.493919348759675,31.02541792249198,34.43287006022605,38.463602573970725,37.31750910479161,33.627494845265026,35.7239031954336,39.25754580902234,35.82144635363009,33.90970947641767,38.34246963242081,38.705575664851736,35.018549071898434,37.56174087112405,40.51990224417026,38.60649986123828,36.72053388847453,39.02173862365733,35.67831588326145,36.514704529644575,34.510653239745096,34.95281654159624,34.547474854125575,30.120802412780524,30.04425908107252,29.900208718615318,27.961069782091627,24.57788802591662,27.008479279642597,25.636663279826774,21.74693240789259,20.791608101586984,23.304478505629877,21.828506248523002,18.957744226397153,17.984655245813673,17.68873799462353,17.520018572595127,22.01929902234703,20.708765232519855,22.022236725026808,24.022853782961015,20.901368064070553,18.226630375742488,15.40201270574606,14.55484662538138,18.29686229587688,19.430345999886015,21.106054908855494,22.419796547318054,25.533635725887464,29.76334831889578,32.17635121506326,34.90730158774478,30.752360331857673,31.418274335837168,35.792068478585264,34.473878213674354,32.061087531480375,34.887708814659966,38.51729827152984,39.34758958130963,39.19631513416415,39.45790516464395],[30.584935113336886,27.080922678937128,23.50265977635427,21.703711442849862,18.800841373014848,25.54556935107257,25.74235977659526,29.34617907070346,31.54570633153211,31.07974317637548,34.83421643947181,36.948747419248654,33.29190571211042,33.50055680951882,37.72486021771701,37.11338367853295,33.46609040666406,36.60456808155678,36.36092308199782,36.89720918721573,39.029415367150214,40.11985802523128,40.8507282412157,38.364326427713166,35.72753397576061,34.25946364520373,32.06697239928991,31.047094344381787,34.16815402268848,35.4275332531493,41.40576516460492,40.158436773617545,44.75521046857301,46.88430470491604,42.85097508289586,39.90762232197453,37.980665966378766,35.469928483115474,32.53788744817138,34.65324296957023,31.3074933161575,35.63151937567868,38.66686154534651,36.650516612438686,35.99980095757761,32.50903684365892,35.59016426221968,37.92420862132302,33.58901191583638,34.02692106518308,38.57591422706114,38.00486672920796,41.880476242014424,38.02599150037819,43.4246124643754,45.846948712539636,42.875450751534714,44.27048643620045,48.607282340397305,47.184285723449136,45.31100140888785,48.8320958964636,49.00046621318832,49.74920825971112,45.9638534858583,43.31557881604152,42.81115391305699,41.730135195957665,40.41911667360036,40.81791376537667,40.16404648661565,43.49662417444321,44.806736947133906,45.66239495004917,45.135312074944395,50.288312725470156,46.83583457909372,50.36029173826339,47.43699205946153,45.965499549130044,43.62947032093056,40.2927483575743,39.06325887212788,36.50983835144456,33.07480070731838,35.550797915153154,38.40767385934894,41.353925834657595,42.09397235238078,47.367463754572164,46.42562459488261,50.611855042149344,48.66123439525154,47.559960002472614,43.50807601458541,45.88909420349164,42.21867479364701,42.720357502095446,40.35539166503861,42.20470998165291,40.259663014079365,37.88506891791727,36.90096922536037,33.62082750641696,31.49310986945087,28.036814503614906,28.441346095817778,24.69011205754501,22.733239615105273,26.069722371869737,23.985650518779018,23.90203620129268,25.39528590977403,23.349287454267486,26.773229076922803,24.73024633478919,27.998799570926185,26.300959043143973,32.14199011086642,33.13897469782125,31.617065294491493,30.252195646373114,26.108944990697676,24.870720375935655,24.452847269869178,20.053107765999663,21.734357362742024,19.670151166110482,19.28320176568113,21.811095164763053,17.12082983550116,20.219552450896977,18.815509601034595,23.271089251043826,18.212378602509087,18.172866480186112,13.154624853821543,15.161269799180051,16.43895071338837,19.69592733228161,21.018268433807943,23.920736325952042,26.428134095731284,24.656333724428908,27.148764351757194,29.285380704598193,26.83815403441975,28.522317323733596,27.769375814737913,29.06339552752221,29.937758791288033,33.60047644474354,36.65721074373947,40.00340298078101,40.60580326303442,38.518016542771534,35.716410312490844,33.598890668731855,33.45946751050587,29.180659572047272,25.581708764435984,29.29070693609222,24.237211132909188,27.69636300343563,23.238452594954342,19.753839856491776,18.00607396730098,16.43893926110894,12.840113213116009,13.4276233821701,14.921338537166095,17.961138149584965,22.122114575224884,25.450082057129663,29.05036548568537,31.7791026263837,33.589222165166305,36.87824461414912,33.679261475766474,33.07399448891233,28.532794986971588,26.74790853477543,26.308589092436225,26.159973819068682,24.20160978822181,28.247248881275816,29.81095596755236,30.95936872060985,27.58473853404069,26.66812528097238,24.55261709430507,23.435208666894148,20.16327639561142,18.01561839403401,18.15569348818157,17.330126381274717,14.666663321055907,17.584066508763854,16.776588314926457,19.92464701608427,22.24517686670415,24.794205048788815,21.78440873473646,20.189127928884226,24.615899213115952,24.667759879797536,19.87255440889243,23.19254757090848,28.39432454469931,25.519230194657016,24.98971169570078,28.69497996321524,29.823361121366844,27.245931861661223,28.679354389157833,25.482213028670262,30.130500912926664,24.241192014755995,24.79266643440945,28.8581634572289,29.98918326427888,34.66974849312622,33.884478680183875,34.640168326510214,32.14721821409574,33.88196942876015,31.854420312326788,33.02457932829875,31.4884373442235,26.54746502158914,27.748695219063308,28.109260791348877,24.265705737827073,22.433087770670454,24.00378490068276,22.059554054458083,18.685940768178657,17.417194572348777,18.47726392678438,22.635905312114964,25.739619544073467,28.08641909578914,31.219934497956373,35.35647644529791,33.6500312177327,29.88633188493346,32.42475967757767,35.6033205206253,31.78245090143394,30.26531238168475,34.700070447736806,34.80876199539252,31.29542579758967,34.32463157175645,37.110034825503384,35.02521277879631,33.66618581583626,36.253165138838966,33.07595425941225,33.93709776943411,31.64518732591492,32.647086559602506,32.52434474884025,27.59876118165445,27.75932604957165,28.33937550457251,26.25840529878107,22.52593799425188,25.940918887503603,25.097473974843208,20.501925931771993,19.638628543875342,23.254997235557774,22.17212273782319,18.780864952925565,16.959360385572865,18.279631614665707,17.527924358239062,21.554964376726968,19.117886984198407,19.637235114349664,20.802266748792167,18.2257437986653,15.436316945690598,13.50880538091659,11.875322475023445,15.399056094103027,15.181327290202537,16.74766553461915,17.43324830734303,20.936985071637626,25.12234530212076,27.842809042260946,30.17726964586577,25.942573768099365,27.091454448749214,31.354189889503306,29.60419734515018,27.589441457942534,30.797783895039565,34.43022976720812,35.422648035503805,35.506213265219586,35.983780809036936],[29.25914522251158,25.898465579906485,22.86735429501103,20.07642595952554,18.063361590832287,24.52118439444913,24.709483419472715,28.715172693335088,30.25496773075826,29.610278047300966,33.309142395043224,35.859349265574856,32.27571153106195,31.826736116596766,36.318101928159734,36.10442237224638,32.31010867769332,35.461188456277455,35.00741949279114,36.117414213830706,38.12884571607028,39.6715424186576,40.10687234533169,37.52595450419879,35.12563709745352,33.246272249929895,31.393968345519212,30.15670831772678,33.445847508374904,34.950293193297455,40.469477653613765,39.74926260411466,44.291530304564176,46.46436573424431,42.62221057898218,39.50847913761066,38.02062596614743,35.41901235240528,32.653281895760095,35.49597429003121,31.56087198644201,35.47768940747203,38.885379604392696,36.92755726530362,36.09655956068737,32.853561983362695,36.10097291755669,38.511265807235596,34.40089141105216,35.27249907404705,39.86769082719486,39.51174519647695,43.2175814622544,39.109609886211715,44.58199229607881,46.86022255243562,43.486383628183866,44.801884570261414,49.262808854866854,47.7011961624207,45.40665659516931,48.69772509094626,48.67577142468959,49.19006413551078,45.54641942686802,42.93037990780664,41.780416885873336,40.68844320331788,38.84927477318292,39.160903625904915,38.19618537412958,41.302899797296945,43.02206042509803,44.087444709236145,43.93532297579936,49.30832308675399,46.24781307885397,49.95073364068899,47.324537380830314,46.12831665646874,44.138840855213104,41.124978202504835,40.064340761797645,37.87568226391118,34.15472844941242,36.19992027895372,38.682593004533295,41.68911896407759,41.88688650103315,47.15539363469765,45.77435468709698,49.71767183391175,47.65409204576883,46.64733787227389,42.46409692512962,44.5907136396276,40.785947698714004,41.91818083678541,39.66359460191032,41.857801027716086,40.19636361104449,38.321247122983834,37.44750079030867,34.59325205227706,33.14585878579797,29.491569154896037,30.491244357324256,27.040334075183175,24.662756138413663,27.51030604245524,24.796929186266865,24.373922443934667,25.040585850572846,22.80865177742358,25.657856268890644,23.274701180245817,26.61978345930406,24.620563687296993,30.4322300197587,31.578814458346386,29.64914321747276,28.32896868638695,23.87614097286173,22.962570108477216,22.858959578062656,19.13483442708651,21.432646255850067,20.0474019673237,20.49473144534335,23.555460871698724,19.45310934181151,23.128689675034394,21.697193828104584,25.723667207569463,20.262585767759305,19.224071635735786,14.264477534846934,15.008268711121161,15.204229153302217,18.92873940019023,19.435583702732057,22.837644649837394,25.464991918378082,23.949953774102394,26.884879406033615,28.931341247447335,26.30591786598657,28.1601924679721,27.781491746327383,28.695334323925863,30.076575465385595,33.2614696363509,36.825687643345915,39.69597157374842,40.16926547867698,38.42029024467477,35.457069613661794,33.860417276695166,33.48971523549677,29.839933629562303,26.16520153821589,29.590057716346138,24.40811555086844,28.34220012570044,24.292922797427718,20.30280244880482,19.64109788820402,18.044511054221033,14.880902990311903,14.346159711166468,16.411581936278292,18.62660202740412,23.32741427506242,26.692440053087584,30.115458453669746,32.95324433167185,34.15225819282257,37.99898498919759,34.87459717930734,34.687142706787775,30.202974832219684,28.43342522642515,28.676206679092893,28.78160815958876,26.3861344985001,30.009839840269592,30.934951374587747,32.52687094427031,28.691285252082615,28.544198108276802,26.844774454914063,25.668622641184548,22.98527557785874,21.04726604621956,21.58267838219496,21.192510692177784,18.10183079386393,21.070983681320822,19.88203679093369,22.42823915975909,24.978940760442367,26.961956928640074,23.52908441248548,22.17936923725747,26.624168033420574,25.927329739190714,20.727478738436822,24.544681170015345,29.621390981928663,25.86816464254545,25.337769026333415,29.238811233056886,29.902728157816895,26.793012855423626,28.551482288248042,25.60615190346292,30.692735524922377,25.200381206792873,26.141113400027272,30.322528096429636,32.14536200426759,36.64601467581848,36.392574520617586,37.321990273413704,35.10337688826592,37.10137324789105,35.04815144557313,36.635594166835574,35.01083646327788,29.807010468346753,31.329084420884733,32.03072886749986,27.971788577075785,26.137854835492803,28.057450330773456,26.201233894070633,22.558633616153735,21.458303501958486,21.84628776818684,25.950189467121184,29.201216805146174,31.097706438005243,34.20073043660899,38.13384944593916,36.2125716668359,32.37089484455604,34.804750824776406,37.70581424941157,33.57191806704492,32.01760209500253,36.20200845086053,35.93368482093425,32.30995779062865,35.7027174410608,38.1570368475214,35.537370064503776,34.525934278376276,37.44144262709316,34.49075404461545,35.83117193252501,33.779188125146774,35.210092607438845,34.68766997286115,29.499626152912303,30.36082206054263,30.91870525987814,28.447172960878987,25.113067689174734,29.038513355465643,27.74632666730209,22.86070671037618,22.825930313849728,26.542032617259228,24.905428732667644,21.2224883845322,18.566601147091486,19.907917277449936,18.141060076251687,22.241254940134024,19.07938359223954,20.17115643656665,20.533795399232,17.392704169787493,15.334270492613413,14.011047528873647,13.251074591399048,17.283582712446638,16.324962634388083,18.657710404137607,18.203579469410094,21.460314428515,26.17034806153032,28.993167029151447,30.8858032614398,26.266025354661497,27.42084900899578,31.578517088736312,29.349584159174636,26.988548315200198,30.598316535369477,34.05953155915703,35.09785422467978,35.27827015034489,35.62012920492481],[28.285314053337878,24.92713618277324,21.741184935958962,18.299521032544444,15.647755016078449,21.714061997634865,21.220873933207475,25.144917935310197,26.427061788574118,25.31638383453379,28.95143500621023,31.603613152772727,27.72459183792751,27.233226848619577,31.606427077384723,31.366734801852186,27.457346280221763,30.528553924647753,30.06989281154759,31.226544061667717,33.297040819529855,34.99220176659528,35.47541932694802,33.02847961269697,30.522500937766797,28.457875411942265,26.5685725490593,25.242928686057443,28.56474899956948,30.199264312798825,35.61414572937439,35.0871086661276,39.61632857551159,41.6812417739795,37.87633907761837,34.682546721671166,33.376008607710176,30.694052577415025,28.016874477737737,31.239069342940795,27.13331072053333,30.835262708790562,34.41142031171887,32.63771662176813,31.959621638190953,28.95102793236713,32.435974434704,34.581199640544966,30.437199399115997,31.81659913881762,36.23290746707382,35.87462036504832,39.40312682637918,35.067434217290554,40.47943434046827,42.77772599605209,39.22000396573307,40.35367061921601,44.90164953368884,43.43370327782942,40.88321615337301,44.011593400762514,43.873749450204876,44.41757251772306,40.84742525233151,38.151629925405906,36.89117720581874,35.745235835051226,33.91459841418897,34.24383089219817,33.32420417984645,36.49559584203251,38.116643346891074,39.15716824411901,38.98185182048276,44.36169915753534,41.35918092063834,45.08667584604478,42.543429129870646,41.45846661962007,39.60339789628771,36.77460568785259,35.82125301912137,33.86791716659558,29.99829899057725,31.77763945632136,34.07306943018555,37.09783061831038,37.088832168938545,42.35935646900581,40.8823088134425,44.789593231746586,42.756985901767024,41.831233511910874,37.697021317587016,39.878238616775775,36.14804437509008,37.341869942780896,35.258931504657546,37.777118285994405,35.86362084360631,34.414415292906796,33.27393668379044,30.88507030997369,29.706009915996933,26.219167018682423,27.867308574150783,24.709928409125506,22.438761997297984,24.751138157155438,21.88381717108419,20.681846100748896,21.114295276126633,18.44261163189681,20.997191212726978,18.437188676492603,21.692099471966326,19.694329211017706,25.545810186262642,26.64097527271125,24.777176155099117,23.538370294572626,19.14363605501407,18.350061018899332,18.601456776181674,14.877781704338734,18.05562549657848,16.537862275984587,17.6148944075523,20.548474818112954,17.299281701010997,21.32864283094146,19.562804260403308,23.014679091202165,17.273700805288357,15.521375496115816,11.15472322718159,10.613260892202922,10.332353324983426,14.10157703568919,14.638528701382125,18.27696355496289,20.6698168986458,19.116448043083853,22.173452250625264,24.147818310847963,21.52048736884074,23.553221167237723,23.49032948478905,24.56596675012774,26.415615129124227,29.57806433334298,33.3759679995756,36.38516250528868,36.419394185157174,34.54526700896135,31.3416289090708,29.98108833933356,29.200648510392536,25.914745106352086,21.96939097754511,25.083204993187657,19.858715185368254,23.99460228898682,20.33878174674822,16.267042607223416,16.401944800191316,15.358359937519745,12.504585294439357,10.775844116643361,13.040899692654376,14.488379376534038,19.423832305271812,22.76069706249772,26.031457587844773,28.99511496802316,29.835783542130372,33.94593688408811,30.805208927838034,30.942776118169213,26.518471575292352,24.93437514365425,25.668245824805563,26.029012986818742,23.251327693517823,26.514579082837447,26.954271634824682,29.023049511765812,25.224482298802723,25.56464059973521,24.441681830561272,22.856289989545964,20.845195627661905,19.080666236813236,20.08714033918046,20.481228177850152,17.13443355935286,20.415320224249715,19.613485481015363,21.30377287950568,24.684114278484035,26.010926905405302,22.27783949961466,22.030101979379165,26.50355127958065,25.19856354208927,20.586664124958762,24.931135981499537,29.453026201059966,25.48419313676792,25.63488862664233,29.608515790973655,29.592157652764502,26.75674263358221,29.288831962893237,26.648601639130096,31.80788773396109,27.28235204288432,27.614238183866885,31.742604974281356,33.89707712921358,38.54601413048045,38.28305811164353,38.60873582599684,36.18230254513322,37.93501725265181,35.31687443645815,37.27765913264931,36.199603722152766,30.576403209019734,31.774927259441007,33.17671841833307,29.379743592304234,26.950399117552497,28.71543069088646,27.901722423359132,24.30516067031721,22.028477782993864,22.324951325925355,25.35582600243436,28.932330226955326,30.79941730537219,33.43397745038889,37.50397022204284,34.95304346716328,31.172793141587864,34.19025525579806,36.62510921247199,32.14386301390019,31.209395846252754,35.324180336741136,34.77537412319169,31.491596722348262,35.36018895654038,37.58502501065701,34.83611948345218,34.46737381888482,37.61030578163591,34.88528049766444,36.14818562816745,33.78657095060341,35.672227867141444,35.54677149040124,30.06677461256797,30.98462590268563,32.221570402162044,29.79289595826381,26.189146948975758,30.670667738482805,29.964025746143623,24.79768846349203,24.61437620902369,28.947188578613787,27.78896377283092,23.98770006491966,21.03162074876854,23.337944247692448,21.40559648472248,24.972643972695124,21.10298305969428,21.41482816820276,20.78910502027473,18.400368201828577,16.52054905395108,16.240970476725032,14.88697103381814,18.195407727532213,15.666925325496832,17.519883698858894,15.992769479535433,19.79150195777888,24.173966820835094,27.395033147405037,28.587703636208417,23.987271523621,25.9210163936583,29.777666173873904,26.824360098589196,25.16707582783657,29.311390576981662,32.664936554151126,33.876637933875905,34.333296824832466,34.9061216070731],[27.891099962566496,24.35501843881005,20.556353227954652,18.366834561122825,14.788251707158675,21.35311821117379,21.132239471551998,24.654518854366074,26.80813168434102,26.195684622231568,29.934966754595838,32.007046311596824,28.287936247167863,28.607480380538075,32.76868202128163,32.121643351483506,28.55581650062254,31.814114901461977,31.87080723015546,32.4087432138007,34.79271339323344,36.09648077150487,37.013311330450875,34.78245889670997,31.90151443135349,30.155589455667755,27.73305481078254,26.421413020083317,29.372857983847393,30.50354891327816,36.476303500133625,35.18682840092513,39.77552183968821,41.9803211541101,37.997438220852665,35.12141043298577,33.18193887984115,30.90305337549029,28.13908070976041,30.6924472898768,27.394253817392922,31.526505907572318,34.763803144118086,33.08379973164512,32.767572685650904,29.528335625841198,32.942488550739306,34.86021865709031,30.2969181629649,31.38469755239693,35.663769757240615,34.91875673963665,38.63106835314435,34.44663206325793,39.68062432027024,42.319673203672615,39.21714301864167,40.24236653217467,44.73594724990433,43.601666096006305,41.408238116108066,44.68132613517383,44.61952650929182,45.572802869324505,41.901281714093116,39.02059515661809,38.443963976268904,37.11704530873889,35.887246509226635,36.09985311018687,35.588121738263496,39.00914699194474,40.15086262180335,41.141997901671736,40.41695413503451,45.64248255694165,42.256592106492896,45.70062994929458,42.869304741499484,41.58563282923171,39.20540520271423,36.109822173523824,34.713592406799165,32.47949292622896,28.97767886031858,31.115824118106595,33.99083476252111,36.74563437571549,37.47298368803424,42.61407431621827,41.62308775360968,45.80544674782354,43.76513965557505,42.5909132452846,38.51814352407147,40.90377771877871,37.25239864621214,37.700465812815835,35.35399969758816,37.30328733834779,35.32074335754408,33.127718518490845,32.1317789913649,29.05564416912936,27.312211937469524,23.7580881144295,24.70221802683324,21.213307577220444,19.092587800113172,21.997404162596546,19.66197082063424,19.15273882657778,20.510004925309733,18.35360879304556,21.802359642138136,19.897285356996836,23.259916344258627,21.878542871080086,27.83721908315057,28.483344940420466,27.02131383947175,25.516741781226965,21.551898048277643,20.113891824604853,19.63738963854171,15.114504736105983,17.08050420210102,14.933776570775075,14.984090462376127,17.709920520421836,13.628047273846441,17.361473056381367,15.928730520642647,19.81701129464939,14.435342378279099,13.620661270893708,8.600679837236871,10.302821614688169,11.773382034444651,15.055868858724113,17.047379635808834,20.276393783146634,22.27141350717628,20.19662464570321,22.771293624156776,24.571643054205502,22.005774836935526,23.564022948269464,22.835958573678326,24.123399417835227,25.202334879405285,28.853759062056604,32.06020290859088,35.483986803396185,35.84320211867881,33.70385552802799,30.797018840074234,28.80524884817461,28.534658829803675,24.452685599889737,20.850729252007195,24.59610416848823,19.70571335110778,23.429246878027417,19.47713028875,16.156255615414747,14.932684740472009,14.3359056425503,10.569609104356859,9.857071047000309,11.16004253459907,13.621253936220889,18.007402254309365,21.214008612414993,24.65812304515656,27.34421442884223,28.870910230106492,32.42700670735509,29.3961970627511,28.992987795900863,24.664439976382578,22.623878355973,22.919435864817952,23.257322899347198,20.95936077122631,24.987577652445744,26.16392106326099,27.97742325153594,24.901308368002613,24.30933151675594,22.805638832844526,20.95899751586032,18.205793709850962,15.89603947430439,16.316804007028875,16.16371638168954,12.70985934205477,15.847552755827085,15.09963248149575,17.260195984198372,20.440606343834,22.23346126857411,18.814678633504574,18.276727089146203,22.786690672902953,22.1239826426473,17.790703321690952,21.742083736348803,26.413554608813318,23.239669748274682,23.37371999919832,27.18821006607157,27.642294340511192,25.31964073765359,27.52857828244809,24.635233338048884,29.408490649805216,24.617693180389715,24.527749124982254,28.567388584278152,30.217833730301884,35.03075854831626,34.36973961403102,34.49999462744224,31.871318315047194,33.455767615555615,30.842577619691703,32.595805362878366,31.578490351332988,26.055090800451374,27.09695541911372,28.396459357965654,24.70567725743259,22.220430799376857,23.900758894974015,23.16936004194643,19.65480054985538,17.225932904276608,17.70289436188861,20.854585782189314,24.344310764535603,26.441686734801287,29.174053211712064,33.363743444227474,31.042992025528783,27.271932213017177,30.28984805791356,33.0040813207515,28.790216221917074,27.784366900496025,32.141942987715964,31.949711664318755,28.701169944537675,32.23544517045892,34.77903308816133,32.52141952504881,31.785340794322078,34.64168984964923,31.706650217901704,32.57775028651384,30.022010769682943,31.597366788664598,31.77666198217901,26.464947106262116,26.86690806351176,28.173687688864355,26.02650640374342,22.094657331822518,26.332636883352855,26.021197296340286,20.99677583894683,20.264839657364327,24.68480200404668,23.994516829702036,20.357091416794617,17.909052266169493,20.512961355918094,19.311224500842393,22.674311479854158,19.305321092475722,18.986123741245425,19.09898946783352,17.281976975692764,14.6368795267083,13.950520066892842,11.724056746611279,14.537776327933718,12.520106603556178,13.809903328703534,13.454585284404383,17.45101665030754,21.476578359469485,24.559476251809773,26.32897853496329,22.038951565776802,23.821288937293453,27.870152310989425,25.55761657732452,24.088898707342267,27.741865931893667,31.312580632955306,32.478910274097174,32.83146057106142,33.54100367281918],[25.530966964952356,22.023792998379186,18.488955339432096,16.477627430127725,13.735737679854793,20.453339597442103,20.897350277858337,24.664473494877054,26.789893786424106,26.69068801830958,30.478983181357822,32.56419442918115,29.349399586281862,29.477303238341445,33.91910453908842,33.50877205502189,30.170268132596803,33.7213019241011,34.05272416694068,34.854353778735494,37.38751132024294,38.95863164211628,39.87167367855964,37.699348779373416,34.817950528895445,32.789376938950916,30.355124509552144,28.685915466173373,31.45540209908469,32.33770685236898,38.175463460511246,36.8020772134509,41.340055789311535,43.84847141071232,39.99770000228668,37.27485853844014,35.27618328102664,33.40875215692601,30.844843523511894,33.6861995707553,30.444335897888205,34.41455365374272,37.80391636056787,36.28366681278824,36.03793010978203,32.87737022029809,36.36628379231104,38.229324034010496,33.59909774062151,34.837618689190386,39.053168947069786,38.21227536400386,41.901077212763234,37.62143773770077,42.717326095061665,45.50298477048132,42.37930212134533,43.194136370080415,47.76363450206756,46.78058870256993,44.419156305656074,47.514452391806074,47.25421934291324,48.30570293613647,44.73985924411735,41.72043592400628,40.88775720979383,39.32511356433928,37.89099225909603,37.776192067042274,37.20033366364767,40.51891277512099,41.8251756792393,43.15702254704912,42.4124261964484,47.83359735815395,44.650908255423374,48.02582082711131,45.34023519712309,44.26191198257322,41.79378385072961,38.89629270088609,37.20798698342435,35.20322501790166,31.793846351290487,33.676302202365854,36.64593871603261,39.12419982906332,39.8865988742232,44.81378731414846,43.69543158732908,47.794246530623205,45.523752390249285,44.16193324125257,39.91493888574503,42.06656629178807,38.23897298957409,38.85812664424809,36.306727405594835,37.98421928008006,36.58723558768784,34.17633615328413,33.7336729825609,30.385036721245953,29.097450092452398,25.104981508821325,25.823121754564646,22.430026251070668,19.73579871021486,22.683231038043388,20.01168823421334,20.21349598941623,21.178719289165905,19.579287921361864,23.0773479969275,21.400918855859395,25.08474376317803,23.88156688411731,29.945113249172646,30.317060701058296,28.56105261406282,26.756742244837472,22.680070483388526,21.007484583266347,20.09461376842524,16.004479795329008,17.196901980553903,15.832201959578162,15.877422945030538,19.28546344767277,15.028184877726071,18.86729119847157,18.1740724778399,21.95304481115765,16.871363653865647,15.779367613581286,10.42368033231191,12.533117303390334,13.766774165008295,17.381174835487357,19.423786075886373,23.0687030345241,24.8953426941159,22.709247004569264,25.46253033187281,26.879380524253456,24.081705977328124,25.271061033651982,24.294643003944923,24.993450795086208,25.796978904553473,29.113141457764918,32.34001015730175,35.30994285956091,36.07206144363075,34.30254324099213,31.635045761356725,29.72684264067791,29.890958932350728,25.901878751120552,22.861917234898826,26.89099814172399,22.319783752307767,26.235949932479823,22.64123397272365,19.421779198338747,18.297254232023587,17.834922719221613,13.996800396956683,13.185083138574612,14.27272574300375,16.467171597431378,20.8320632585146,23.80579330843001,27.08219530224057,29.472226736695067,30.869702936338392,34.555492670847634,31.880736413880083,31.399654414641827,27.402129849872743,24.789535906686996,25.489238264611465,26.080210969088817,23.928883799726854,28.178552666599696,29.32471265854238,31.330243363131373,28.369292799275623,27.760834457551283,26.229211023918243,24.285601838492656,21.377938214444715,18.82047009565935,18.83329106251532,18.120581055897215,14.302738201913053,16.800227903038376,15.126755400534197,17.369899634939387,19.931373213730627,21.72352677047311,18.266922830425003,17.025632834534594,21.484802535491646,20.731495768660597,15.765211999254712,19.674754420738413,24.596569954265036,21.09165955116824,20.83731556873957,24.706327564440706,25.331154894469872,22.666541261204717,24.61610572066893,21.675513587454198,26.602792843807823,21.646460978672614,21.937927481190847,26.06873981461217,28.012299659740044,32.670163783557314,32.36224041291125,32.86556593312965,30.563137748587458,32.51937095691026,30.252578137042445,32.19602579305918,30.75755035334668,25.23114840568099,26.837609646509048,28.093905662213,24.006775365174796,21.90551155157923,24.162281163792642,22.910298447816476,19.024806659683673,17.70423914898701,17.304830356847944,21.275834323920016,24.560658734384866,26.133519807877672,29.207048777188074,33.02740084195813,31.067545343974437,27.208955694501366,29.598525511273007,32.432135753956395,28.29232606194773,26.757624290490202,30.965755601753425,30.73535518272923,27.184018991230936,30.608777188959678,33.10019673248374,30.642789351684442,29.691248704125428,32.59492721906,29.664266544846967,30.87806383617569,28.689826612152658,30.307016409796205,29.9653893429167,24.63715231183277,25.527421939170207,26.45139118637981,24.00233255574452,20.50634590458974,24.893053004609666,24.007038354323612,18.85799691303742,18.865558356724666,23.16073438376927,21.909920355519173,18.072747658755976,15.149593947279214,17.721552844814486,16.076834293861772,19.484071721517612,15.971797659124892,16.08210455385594,16.33828116690571,14.045518168005238,11.497512722041211,10.728173082145124,9.075503634195249,12.551486133938672,11.12162583617257,13.459876036979285,13.209393348883816,16.391522348457308,21.012588463040938,23.767154843879368,25.845179244053377,21.331383249946406,22.44145324998413,26.651746964002477,24.71392795177908,22.520326204188088,25.939457192935727,29.53870977630886,30.633577602587472,30.89887879615382,31.481628168729102],[25.654487052395705,22.198924350474947,18.81322953509525,17.657612506238955,15.508638117814677,22.239509283919404,23.265923232004905,26.96597765708985,29.330976989507086,29.679683744090006,33.480737023402874,35.394640295459126,32.51713031104465,32.74564465492301,37.243975997376815,36.84025998437936,33.68675657592191,37.35224636222358,37.824214182362326,38.57028161554821,41.155872648153334,42.65634331239458,43.61788431671011,41.43139390774067,38.538172388547515,36.57844721908743,34.086927459774984,32.39052950449617,35.040032892770085,35.71900930215671,41.63127593775498,40.01808917756348,44.530894724354916,47.18744191077992,43.338786968751016,40.762551708234696,38.56464412875032,36.914515568595036,34.354394541796374,36.95985443124286,33.956631929397616,38.041942447578116,41.32541029584889,39.77784574040577,39.539651833128225,36.260678577171554,39.64111951152589,41.56603517583674,36.877947440060254,37.86244090636514,42.10011534605111,41.16783765420777,44.95326699813844,40.80448658963795,45.83755284414071,48.70814754079694,45.75964090449861,46.58488425803235,51.10978556033957,50.186562091226754,47.973580232979714,51.12149745444982,50.878862651380295,52.015140966079365,48.426421562577616,45.38159674039664,44.65370418098171,43.03087286325564,41.64346707865524,41.4232543509103,40.877018860345956,44.17707642017333,45.488042462214146,46.90421740344552,46.075330007396666,51.504476988844324,48.28713580343604,51.571691616551824,48.83847970191012,47.727190683909484,45.083785746789886,42.11262708379205,40.22365910771903,38.12528358393777,34.908371873327575,36.90397860854268,40.06862550336257,42.40763431581735,43.406188656554455,48.236157087901134,47.2232775402586,51.355651397293464,49.01388020763105,47.521817598506146,43.23462898185758,45.324251620859734,41.44814499626885,41.94375037418973,39.22382083038273,40.536820839573366,39.43106365545344,36.62301852380317,36.502665747402354,32.751839652447224,31.359800913485525,27.223633794770507,27.35389162855947,23.84466696218881,21.039929418946087,24.33481559450719,21.857111935323978,22.790587786856953,23.904274453147355,22.766099119855998,26.460869694372878,25.00494029972062,28.772813437825327,27.67385230693753,33.74818221129057,34.02566040691975,32.236335808181494,30.306784817000437,26.256407595867948,24.434457429408173,23.200715233839773,19.223580764459413,19.58731306717942,18.446365354936127,17.968109338416824,21.426475257643332,16.684910691064623,20.086699980846678,19.90946450709616,23.926022977419777,19.318194844206324,18.72112263473091,13.285520806590377,16.109455602283234,17.551734924813307,21.11189516120994,23.23263348808477,26.817139239351867,28.6775405658357,26.439705889357736,29.10132058510291,30.441361980968253,27.6301254519809,28.58041609055942,27.309471740373656,27.8065075682261,28.14272586748136,31.406935355200893,34.34169435340511,37.149216193197546,38.3247566172271,36.691249079866516,34.30652123667852,32.20887325138592,32.788988522071605,28.56221264599847,25.911980274789602,30.187607671636243,25.80387870226055,29.564123690840642,25.859256404628926,22.827985622043027,21.2240176578056,20.611791518614638,16.625011914764542,16.4557188799381,17.294603738861145,19.83049388299363,23.913180375834944,26.772028282219384,30.0591143700916,32.229955221928925,33.87883571970406,37.3240244142565,34.7997632007966,34.041826650071044,30.17065337461541,27.284161901413956,27.74028375032075,28.253455328984813,26.46493515494534,31.014487314559833,32.49669390223341,34.26473467192142,31.45880802023873,30.471077528540818,28.610905157760225,26.818911812090764,23.46836746207387,20.72730809649425,20.250324647494217,18.817465304953895,15.194557896749393,17.081113491783043,14.881911554431504,17.74620349238297,19.371504727325657,21.668374273800318,18.602360224314175,16.31524365497116,20.606505592463805,20.43245690569507,15.094556323935638,18.350851337502093,23.684697891036716,20.517101334710823,19.66271188203604,23.376711130120423,24.635430408829116,21.88592516175503,23.09654947888814,19.894398111876317,24.642148517453677,18.913069137004264,19.63480632672691,23.778174543129108,25.451259544805538,29.991890012818534,29.71260234510652,30.689087917207697,28.59959663156378,30.7976044144364,29.041567243975937,30.754685411531607,28.83775520769389,23.65315271253174,25.63411821346813,26.398589573719974,22.0432737957443,20.50784888917911,23.052241143229562,20.96771694430371,16.948414326481192,16.909530499037082,16.237836045637124,21.16287931490363,24.058222167001816,25.47717705591135,28.942670101202946,32.52072267233453,31.15844342964144,27.30167049236377,29.06306902977859,32.25807734879928,28.491407609602934,26.39746331774172,30.58983153813298,30.61648783600754,26.819527390981627,29.758985577114135,32.43129462640673,30.151166332691616,28.63045858353162,31.29290242804169,28.18912409762344,29.455182220617928,27.572553952408146,28.810205709593536,28.10289830561747,23.064586029225445,23.94561246463833,24.2781119169281,21.78052767160023,18.588814734293663,22.54646805647007,21.149454395064105,16.198418337528086,16.477088870278674,20.312679406564065,18.639535027687863,14.825304016166331,12.0668983560651,14.085610523789583,12.63906019301517,16.35510254982573,13.520191627936248,14.142334423314392,15.440130644499144,12.743730491687796,9.913049782477001,8.017702533295596,6.85636596411765,10.931452829407743,11.290002894458095,14.001051665793675,14.788404037469206,17.20577477497802,21.92982368846839,24.20906831853258,26.89625530932013,22.505724253497462,22.849347923286693,27.23079101261301,26.03960707990456,23.31155177819563,26.115835725747445,29.78053477691837,30.717244400141283,30.74878343391468,31.174792375518212],[22.46642092696644,19.10118960131947,16.15294584961538,14.618571790205468,13.455160998723427,19.911550857237057,21.3133062211156,25.25615764744293,27.29667868746958,27.925467233818516,31.68684474189559,33.72651873788382,31.26264097781538,31.163576096171703,35.884494089158835,35.78052606788623,32.807575311690606,36.68939088818177,37.39410627871126,38.499213854521294,41.2191518006148,43.11242435500953,44.0389439578885,41.9685666879028,39.078902961632515,36.7182378874378,34.26692041172861,32.17401342577143,34.66102052691193,35.197669369394035,40.80106403677583,39.31073188035818,43.73097021596649,46.627747612059586,42.98151319830637,40.493869396660905,38.42344892114284,37.11317444834121,34.82240918478662,37.99497458123689,34.86182367885447,38.612397036118765,42.169701220895725,40.87047429560867,40.737892458772464,37.69005453191068,41.276252264200814,43.03621585128907,38.319687063978705,39.761002255215075,43.87085450979095,42.903325974778774,46.545957439137695,42.149403432609994,47.04381316131786,50.02134272244388,46.88286631528258,47.41098492480754,52.06724319713548,51.30000549620071,48.726855466681926,51.57634438872448,51.05233500263852,52.248056532150514,48.83357700199953,45.636754507351604,44.49975049227126,42.63014897154951,40.96859726044617,40.41756105811647,39.784221936939645,42.9423367903473,44.43094428346267,46.203187749754214,45.413066585446956,51.051311198644385,48.147037802715076,51.399401081808236,48.91562454178563,48.11165292313442,45.53102084654183,42.905443690475984,40.845280446072174,39.151572771476175,35.886688247845754,37.432274014658354,40.50796610010752,42.60257368025204,43.42213540076349,48.02854333002658,46.761925869878866,50.72889525094579,48.16526787917467,46.55308848777582,42.11525712426554,43.93377159095606,39.91593154915834,40.73463232086242,37.934097918952524,39.20418724996195,38.62166554934911,35.94503051980373,36.245694783409874,32.59244339200197,31.923928438905506,27.45577553265119,27.879335957846152,24.726147665751625,21.397393202316348,24.259706101510503,21.246726332390597,22.363140132695364,22.79706224457559,21.98946012156885,25.445009146725752,24.130801282314465,28.10974142010441,27.183293799650652,33.27181969596808,33.26437280588769,31.184013829900977,29.022400917682546,24.944720708938068,23.0068763696265,21.53916078350059,18.212280944327777,18.29177531655922,18.018796236109313,18.05332367636195,22.11392103840821,17.89283236803701,21.68268834358081,21.86696212690993,25.385478347197925,20.77436900521593,19.41085840896098,14.074737007006606,16.427453491076186,17.399272862614655,21.182492460966653,23.285814188184474,27.32012644885702,28.897327373223295,26.59272562601949,29.499199677199357,30.42304492813947,27.397083370587282,28.093531006883445,26.816450313450257,26.7412649667596,27.14144265931349,29.914821092393357,33.08778350056956,35.367368728298594,36.693275008847046,35.46023333691832,33.17371951065896,31.40916637562601,32.1517100795954,28.360751691962022,26.096518568839837,30.397090265080028,26.29199846969654,30.37219760520341,27.229151216960435,24.173577309834208,23.16058928226562,22.889821257446837,18.998995500909842,18.075197457395827,18.926493974137045,20.804793906004857,25.057729085900608,27.711605537490502,30.735719306474127,32.723161709782616,33.939036265479686,37.74149302160767,35.55184973363176,34.98249186842117,31.438148894055796,28.17195769154372,29.368026734663903,30.268924303198187,28.29815159021899,32.76759949513532,33.86700651648109,36.11548119418734,33.32904196767435,32.70328221089354,31.173230222855093,29.090397685383316,26.05589324376562,23.260714120142183,22.853941395199552,21.587713172769043,17.52885667383347,19.11956776584876,16.372804944307035,18.496047270015886,20.07547540694997,21.730333176042457,18.380574323331153,16.20072149955623,20.328363353761194,19.422601198126078,13.69777808015035,17.34544401042877,22.474960851648557,18.516690150855847,17.61244537699449,21.475529957680937,22.351428580799368,19.168474999834586,20.640114657543627,17.68350575468055,22.800304945789176,17.716651251576884,18.66828925114879,22.854239439147797,25.29661400950206,29.614462780835606,29.90503191566728,30.96107864637986,29.20876643766821,31.68480287016775,29.95326858447684,32.168226051823545,30.173446232849756,24.760033253202383,27.13952860445272,28.359469642855164,23.83512152274715,22.340982181516683,25.327784443300054,23.476057824716968,19.23706464516715,19.463434193097598,17.843588373767,22.672656376474887,25.56565617705721,26.323235855066677,29.775667719144195,32.98095293676865,31.550027534190818,27.663892901171298,29.096850978276194,32.02025907875503,28.06541933955831,25.803936004381377,29.671461057083494,29.374320649510143,25.44530972777065,28.63789086996194,30.9879767403215,28.25051563048429,26.9917927807069,29.93594552555317,27.079090116097127,28.826282748929568,27.25449710703162,28.934526118664966,27.79092067476957,22.548018269641076,24.21700412325898,24.5477384050499,21.66574529664765,19.027111105733518,23.53613533491835,21.77354642482624,16.593531465880158,17.86891418552858,21.81179672929121,19.709079531506543,15.682871729814053,11.969367706192447,14.45424876343035,11.901794031991244,15.226540561482702,11.42865631835759,12.402963060736429,12.873205450563846,9.727407806474599,7.576752782292587,6.796785695843466,6.748795667466323,10.949250667272196,10.63821827935787,14.264209440871541,14.143792318851856,15.835569314701887,21.072600954540714,23.235574943781145,25.689373633525605,21.0152534219222,21.05040196414135,25.3661188526497,24.065537228228305,20.828962852782794,23.76014914782735,27.319676549316526,28.289358343027825,28.405781289599453,28.753003766164504],[23.61842638959828,20.53408395352155,18.44749450572206,15.80637943796438,15.882446307265019,21.820060944677884,23.146112019126388,27.433984183486483,28.740015627029383,29.065606539646378,32.72629964283184,35.24678591532674,32.7380765078103,31.94196002553407,36.86438782495974,37.12323523391319,33.8998865377506,37.625906582218526,37.89291617285568,39.485370647718455,41.913002813705894,44.062971303518644,44.61277614675615,42.324844469374966,39.78833649222866,37.251440822469085,35.24924158110988,33.20056471789161,35.98009885850902,36.90909181163197,42.066129698330684,41.177926966064284,45.54982743051172,48.34354254883153,44.83209129820258,42.09161834313966,40.497904065718416,38.84119923812742,36.56814908219171,40.12506578316994,36.39312841205433,39.890811109452294,43.656141595325046,42.20449756104829,41.723101675295624,38.77313130092846,42.32621927497418,44.36985896877058,39.99820295149979,41.48320155753165,45.79273113273632,45.13900290067979,48.7131582154175,44.26297410908236,49.36391180178045,52.04569850596483,48.588248179609295,49.28721138413268,53.962501126256456,52.870182891397775,50.09455214264258,52.888830681228974,52.34902946675225,53.17838168476457,49.8255942372311,46.82168529193394,45.15672859841891,43.46944659752176,41.299881469954066,40.84049809785309,39.837144413795095,42.72459173813521,44.672369408346114,46.495288523354496,46.19499389144815,51.949994614861275,49.3561821448409,52.84534340904185,50.57372898380189,49.886546078911266,47.705992161886066,45.21130396674482,43.50850079449276,41.923408047192254,38.37488389353348,39.76507664686731,42.427469109697775,44.77174361733258,45.03921957080587,49.769212344660744,48.12190455365813,51.85752944775046,49.29919906901143,47.885512943313415,43.38950940611973,45.002841300585445,40.90154617242666,42.364817204438395,39.75565461347937,41.438456406237016,40.96360215369034,38.817288669808995,39.01536465066805,35.82094225878254,35.44384408330278,31.03521153625672,31.88667672081371,28.848687405303803,25.504366018869842,28.053531898542722,24.71009408742311,25.33617662248418,25.13889933402784,23.972707279234292,26.77281207774566,24.987731931204568,28.865842402522954,27.460755858301628,33.379941293670946,33.75575776028065,31.326407226075837,29.374763062990514,24.96914170456184,23.54981941055938,22.598905389416736,19.953931116399644,20.878028490964407,20.99654908142393,21.659234104079417,25.778096888128594,21.87768947631473,25.849163717043933,25.61676127626627,29.122706836386673,24.10961345559946,22.3368228877949,17.171684742059554,18.356937590252564,18.349566534279017,22.39757889783692,23.43557943407148,27.625062078975738,29.55849978497403,27.679713036649833,30.89164548241958,32.011453528019686,28.961149821916823,30.01587841866695,29.210507255478454,28.978567888812666,29.926877036961198,32.29963265033382,35.91987322923967,37.791150082933726,38.93953698350286,37.971571031120064,35.484864905209484,34.18938509242888,34.57592343708306,31.311761010368542,28.73777180747483,32.620541801572884,28.200753900436776,32.52907172397032,29.383667718407256,25.77295151697345,25.403343479424212,24.627216231029372,21.138112380772153,19.930935434252167,21.4231289197935,22.9862424011711,27.64322192932514,30.49820901982027,33.50527779752577,35.746174138353794,36.54556989662318,40.718633815885276,38.37424235906147,38.143629034692836,34.398901099402195,31.516558902329738,32.80947523742061,33.592074840179166,31.309364643574614,35.336122717363544,36.04705341019546,38.321914265466994,34.932491796020386,34.84308100381828,33.394373454391086,31.62859422256415,28.893037685112965,26.431669970155834,26.423238466711673,25.46683244125934,21.57582922130842,23.52346816411501,20.95863239615617,22.98325769317139,24.668460549725527,26.13283213734811,22.64323793218418,20.601057779714957,24.608291460685844,23.348465479341613,17.466941543317244,21.16791094709568,26.160557501418314,21.61100917016323,20.521543119354934,24.392867402195446,24.992423513524656,21.208359637734635,22.683065704343505,19.99851494196114,25.35698797239199,20.335618309268927,21.963561642909553,26.115330477505953,28.845556102097262,32.86258420078879,33.51836038256279,34.95027800920543,33.44641888679912,36.07897189898233,34.500003207503156,36.70381303252127,34.54474950676347,29.25476232954604,31.7299299385956,32.77325980854245,28.18483095445056,26.86408150562099,29.801920552971342,27.627295177579736,23.43442065596802,23.812887241276428,22.43927087974978,27.272109851907985,30.205734395906457,30.926528227688433,34.36663232738367,37.49000386552732,36.00744894777735,32.11879214788844,33.476163188619246,36.26673935722929,32.20175798651924,29.910259244088703,33.54808848091654,33.016175229250905,29.022707483719987,32.331636608098336,34.42040850070187,31.289087447965258,30.200591728042422,33.293971382615204,30.616250242276816,32.71585558960442,31.418873006636183,33.1918157502496,31.697886956520602,26.515044776170285,28.531067101073265,28.596809504883108,25.54213773955213,23.308311966470175,27.688454931858196,25.44615241473316,20.439399483282784,22.05993610507597,25.607748216919134,23.00053679716987,19.046440529889693,15.245343591318532,16.75178059925645,13.560124606829673,17.2104206104577,13.355578873194181,15.420910770378736,15.379837872773912,11.348846465734505,10.438131897529855,9.798139990922131,10.926238023915465,15.313345222966838,14.86231454398127,18.63595328863043,17.817914838671612,19.38718512040059,24.849581139000147,27.051172664321744,29.127101585315962,24.23995126152819,24.251282867873467,28.389264305886215,26.699246598558073,23.119945620013887,26.31752965764832,29.60466112919782,30.531019315371115,30.634195016136573,30.70093310242565],[20.656526274627065,17.647063060921642,15.817982761332521,11.77928515635626,12.337657396971297,17.585028261874072,18.627744665244133,23.103679920616095,23.84483480478612,24.031286201023534,27.602867530002285,30.339105633734974,27.975823043791433,26.825950952421735,31.853316562176364,32.366719512628656,29.255615455452098,33.087706517208915,33.577552319834645,35.48818077367491,38.0526570554085,40.60475891209364,41.167571105613995,39.116501059138365,36.53555096309583,33.575746444852015,31.599410065459228,29.164363305104704,31.752971578999112,32.62564961609409,37.38727728180249,36.75628990153062,41.01196184366547,43.90255280118643,40.610819624710516,37.91594357293873,36.57178193924511,35.179315060815114,33.23637384630776,37.43564919449407,33.59349951560338,36.60344696549203,40.63922548166667,39.5425526848451,39.278126226661904,36.72914084069442,40.527545505229625,42.216085946495845,37.867874806823835,40.00299341648838,44.02532500848202,43.33869186405855,46.63984470598671,41.89906658921517,46.78681800911529,49.549058801266085,45.863178113123965,46.186681511791804,50.98213458651803,50.09872021483513,46.896409964479766,49.30906744944265,48.46398973076799,49.36335699927882,46.23953493461992,43.07997570864764,41.026672349835934,39.09699018656204,36.72635327803699,35.981074212650654,34.94747562565679,37.753599694323476,39.76032445288503,41.860503494001655,41.56644368618,47.45064433058788,45.180230856183044,48.62784327169263,46.633645355406365,46.27770039870233,44.25586884262095,42.18734742903031,40.43819278600829,39.34922693396618,35.72014982936717,36.55369985817021,38.98781969221232,41.11136447407372,41.0923279600387,45.59426039247737,43.68362231618544,47.230503736616846,44.525694914818054,43.08384072128636,38.52108597744991,39.93884620992027,35.785626908038225,37.57890554917642,35.05266384962776,36.974375414956754,36.71953674725572,35.03952890488624,35.356357575410506,32.62864518797952,33.00145726119821,28.526875268434342,30.07764747932444,27.520888324552974,23.956725541253952,25.7565208533442,21.928630830714358,22.078651755022495,21.08613422680855,19.931214644370502,22.22163577407302,20.511088408603243,24.4738014764795,23.315827039259005,29.148334424743595,29.181612828824818,26.544779859312083,24.425558060827413,20.085887156028658,18.62759762859316,17.69018167389641,15.842846406884359,17.157211656660763,17.976241566806024,19.495548743689756,23.87589742563047,20.976592831134155,25.376053587348334,25.145561136371747,27.901866172851147,22.825638932794696,20.113210085739528,15.594580563719601,15.703784214027486,15.016333974970484,19.06595811022525,20.148492734666647,24.74096777378795,26.14866273136576,24.212113046036976,27.61102457519215,28.25042207678561,25.071340090891812,25.965381834315238,25.388377010264183,24.761249105871286,26.14593550579445,28.06272847482821,32.0875338078634,33.653954690626335,34.52411467014395,33.77836608806133,31.176688515322926,30.365744227163283,30.55904854101967,27.97319511301995,25.585325345762143,29.210495172058625,25.14816586719275,29.746979109810297,27.392730703981815,23.91804060124316,24.39896074860668,24.255498193846318,21.054939833924376,18.822535739775038,20.242153117050428,20.806530806384792,25.522153288120297,28.105428871244563,30.736031784910754,32.87383135816657,33.06574598967987,37.65718581383873,35.591678084379296,35.72635320279162,32.333594797604576,29.327068848946272,31.46176964174972,32.673375158377745,30.069979144885092,33.76344711065484,33.88024452406416,36.78736457553983,33.54217882593715,33.98269971330579,33.13736053352234,30.927929453202143,28.82894089515194,26.444484409963692,26.743699385858744,26.375246073683247,22.07301771179788,24.1102746306779,21.61514960240311,22.58200647497706,24.956055628353027,25.497071668209358,21.602541952039903,20.675987500707176,24.595368612102085,22.342301961941377,16.949827121200023,21.35610646464522,25.58712287537214,20.362134972590898,20.036606104525926,24.01562461432957,23.590354811682587,19.83957840029797,22.402237154691687,20.297843870509485,25.836282599870643,22.328843259963598,23.334396222697915,27.372795719472386,30.745802855348597,34.788649908047006,35.66346296704866,36.51669782647953,34.962787715375995,37.473870845451565,35.37807641321984,38.14874176558352,36.4592737070032,30.68705041211893,33.029257023679605,34.8823302715773,30.456274818859058,28.604203135139677,31.585774184470836,30.382140419408163,26.130636131012164,25.568991733625676,23.78376136722696,27.66221730875272,30.875361281712472,31.26332795620583,34.271333728089154,37.31655251916511,35.23229014914122,31.395247032259146,33.10183117461034,35.29486829097527,30.81145834629074,29.019436998975,32.38046632219482,31.371284130798536,27.655161980645115,31.58598865030489,33.23594277610064,29.688075042415786,29.45561358305029,32.93293078729571,30.647321290421736,32.90692781878437,31.46822183568481,33.895205633356184,32.59885181342663,27.062064141243088,29.479175522349106,30.21545385211235,27.074128305940278,24.797405317747334,29.905165791805455,28.134021218963714,22.816400089317245,24.555951817870938,28.737579459004788,26.504616130323686,22.41603520369926,18.16930978982179,20.772017419551055,17.338464572100374,20.076963773114414,15.227272825562666,16.382138410174583,14.627169093154784,11.478905217735175,11.374416182120125,12.499577843632185,13.069294782513595,16.585894246517167,14.275751901856795,18.013333626578603,15.730189573114679,17.23566326892923,22.696023858890584,25.179992480033903,26.40831881945947,21.346126026454176,21.911967990619388,25.67189249014419,23.147786990510387,19.84997030958754,23.764326067245943,26.848358891876938,27.989962584424852,28.450195961554464,28.730469316932645],[19.65253643155731,17.168515394752458,16.585353227137848,12.309926980848752,14.758535940872642,18.840247964489965,20.350066190496428,24.87487963615167,25.02406533075204,25.505095463363567,28.832081759220454,31.74213667150064,29.94727187439122,28.27168568893492,33.438046218916476,34.362940684070075,31.4705746218965,35.34017657289189,35.87654053126063,38.204381796529596,40.71923171564101,43.598435520045115,43.99402422935952,41.97458393123515,39.5804822629697,36.34543734821851,34.60525512189921,31.95695832658638,34.41200821516534,35.22915691795032,39.46350565537748,39.10773469827341,43.17023829165794,46.221776072606225,43.20498917958821,40.58546211843707,39.47969509055155,38.31598807943744,36.61259431558349,41.16646837220492,37.180321671722474,39.852275995459415,44.05216620843042,43.0743671611262,42.758703006496376,40.394069142839484,44.22025966280639,45.908753787284304,41.70022136144924,44.01661323326987,48.003679551675326,47.37334230684928,50.56620826500685,45.736023058708284,50.534494013058215,53.267985248298224,49.43373398768836,49.6127190179487,54.443204748182325,53.57866548012154,50.12898318818713,52.28939978035792,51.23949181549241,52.05627007123482,49.12480218316965,45.96223407199738,43.44876649888424,41.40925361682197,38.66222403245379,37.646208528369954,36.40633802697519,38.88876031181044,41.22511363847802,43.651171085701144,43.5728494455876,49.589411764276996,47.72204442651366,51.158838495581534,49.45442801311983,49.369902738628475,47.506758408173255,45.731482297691834,43.942748481776775,43.144904444862114,39.508089902884514,40.01592220075013,42.26597134542394,44.22004660688041,43.941859477229784,48.21170730924296,46.01130089467584,49.283594339413035,46.40648719145739,44.92166585376572,40.275996846634634,41.308765331220535,37.062050169318,39.3401553494856,36.82281127259948,38.69574492588458,39.03944990013435,37.56100280892607,38.27369649745383,35.696524897523325,36.60975314038633,31.987620017178795,33.60844441367229,31.297788015141318,27.486771794490597,29.00190298341959,24.945726563173178,25.309912457182907,23.710711203509696,22.912886112116748,24.688047898470632,23.083390363237847,26.986266507045094,25.86417757767749,31.392916976679423,31.315308592071204,28.35778374694193,26.172567165114817,21.919369118373897,20.649966662290947,19.690231955416778,18.905475358658958,19.901136521401956,21.455613261558035,23.179004069420614,27.754562367249246,25.089097773718716,29.4922662177058,29.489549039980577,32.06248294397817,27.109333770084078,24.17228092379798,19.866644775777317,19.728796662214968,18.621884824665123,22.590945389428793,23.23873972668249,27.949483686386046,29.254292363804215,27.490619007719342,31.007911092311907,31.38393515289081,28.156717527499243,28.873249105782378,28.383273616366843,27.21393924305573,28.627075005185855,29.88071289962486,34.040100200582586,34.87209002219673,35.93386683033042,35.71943536364254,33.301828444583585,32.899111707231675,33.23060653800879,31.149345863850037,29.13074247062366,32.606257495307624,28.805400172167314,33.50295077545723,31.471478457933483,27.959716492891243,28.735970625566463,28.553197778933864,25.47400384290837,23.137074745808686,24.613966855553482,24.91456645265494,29.61142915071634,32.0515006537146,34.46778200697979,36.451866152770926,36.29318925614722,41.08618610062783,39.27888815899222,39.545502975386036,36.3781465103679,33.22616604152132,35.68249290272394,37.024371222561435,34.382392203899286,37.967008778303935,37.8533669097602,40.93332857108398,37.58964751881641,38.262405087493775,37.5074739923502,35.30805377157207,33.3048612781173,30.930203054828144,31.19803340154677,30.735384454894433,26.36305231493136,28.166872415950085,25.35258833155205,26.14154373203256,28.126270634216954,28.406915909356886,24.59299338168427,23.44633633771887,26.98676606691776,24.438417786673728,18.98819914912153,23.106386593503352,27.04872053238611,21.378786204352437,20.742696223739127,24.521364508197244,23.874775934005278,19.630991307662217,22.019016850587413,20.360057937854467,25.909543819948578,22.917564586290823,24.445132296280583,28.299988835489007,32.12102331849463,35.734633296009285,37.1460189479092,38.348526452060085,37.21948604896019,40.01247072261266,38.20440803781443,41.158567449099735,39.209063281733656,33.557820436596636,36.256966691227845,38.110581293551064,33.52753265445518,31.97486196248546,35.23662208833365,33.771622901468525,29.4279279885155,29.460126554144196,27.255916226515236,31.35373458832306,34.39901082768161,34.34211912172227,37.43308907194591,40.076779531321044,38.18848995878071,34.40532732173864,35.59980352024306,37.646571706475534,33.242439253157755,31.164392751528744,34.09050939174016,32.86483107132973,29.058166124436507,32.91121889445827,34.2128112912737,30.290986608757173,30.15312634053345,33.71799112795717,31.713254494882033,34.42847633987796,33.47079771652021,36.03329232338551,34.20148152415267,28.830194341212376,31.810705777477697,32.2176459232296,28.84658702257234,27.245203274463236,32.33572912849651,30.0471128003804,24.919295991915604,27.33871414329583,31.194797243674934,28.469001541121095,24.448025493514578,19.95215287800203,22.141465139371174,18.14834717162151,20.51442751534002,15.63424892229817,17.51953195267376,15.373321146492184,11.852990556963414,12.96662053257695,14.37472367262436,15.893737033232334,19.364865972210882,17.457005511182917,21.537395516262276,19.095455585460197,19.705138477877014,25.274011861477604,27.392831028980144,28.480401843042348,23.41746942010843,23.396105334481454,26.879773644989584,24.506609936139967,20.571531416462392,24.252749828976775,26.98288898883961,28.04604243748761,28.497846250054504,28.486411097306284],[17.308483713755095,14.788363300407838,14.082579181136277,8.79736535772601,11.369523218269455,14.642094703567412,15.871231512189341,20.413997241039407,20.302506517591162,20.787939949538686,24.08604814576695,26.992519468573317,25.3496797082179,23.66034528448178,28.83944978364678,29.824430361658653,27.15821110830444,31.179021995103287,32.11559069959681,34.46881201317567,37.216408602173075,40.28337717308293,40.86142934666423,39.145858711906,36.57192108396824,33.10392076622067,31.197027097813024,28.219978580115054,30.353249724263357,30.94288136052161,35.01769613530326,34.61997985761978,38.59871219298817,41.76322959850377,38.87548706749122,36.41272063921274,35.32068551990945,34.53164663478584,33.11527086442938,37.984749709505955,34.19620466299124,36.558560798901304,40.850801141207945,40.23062089272248,40.23648449017542,38.152619047692184,42.145509152367744,43.43231002756194,39.127052982341475,41.90257314997605,45.55785860204598,44.775543926686446,47.76611947114066,42.774179974807666,47.285035682985956,50.18070757327565,46.329191743345696,46.14120092767846,51.02844097575599,50.467401571182585,46.793561665124464,48.67050956151089,47.39118587142432,48.43049443487916,45.65829722963669,42.299299049520926,39.72831840407019,37.41232492808375,34.75288167371635,33.448708366773666,32.369064419499864,34.914628711712595,37.06810739586836,39.692664121712234,39.38561081830696,45.44354678755026,43.69440494671382,46.98315913839924,45.41082031961015,45.53917529866493,43.647293803263906,42.17324957476647,40.22424916784975,39.78853998307312,36.23386191707578,36.341779484356934,38.55388684560139,40.2131629327539,39.933473714829915,43.95031780749142,41.71036828074463,44.930871944577575,41.93865075521468,40.34218564448712,35.667247105900294,36.634604204757636,32.373799603715,34.649960389507136,32.12659222406621,34.05215532082338,34.516750288254556,33.24869559635295,34.081380813788336,31.764676186492654,33.18358500622013,28.572035761346733,30.611307630269884,28.708551571717138,24.84469168808334,25.775379194589096,21.50927536982953,21.59432749890532,19.49391037973851,18.893207910385527,20.407356705355376,19.134532780248126,23.108726886641378,22.466719304549343,27.929045111288307,27.356087940454117,24.401004137687806,21.953654700901986,17.97505706663044,16.40147172577135,15.182274552046028,15.046295766063905,16.024085110025922,18.09881689870926,20.314695142855385,24.92583895087069,23.07915727152771,27.605346915856103,27.709761283714478,29.638382093769003,24.900889024578074,21.442530476525224,17.850397649418266,17.212034504620977,15.944892672830228,19.60485413397919,20.7344537400001,25.585901568150433,26.263564606288508,24.29428976732238,27.772409099372506,27.64749605866259,24.361473565597983,24.76348746767413,24.29760911415539,22.827444442453707,24.424336082929123,25.403777250647497,29.748088941810614,30.494331399613134,31.352364236893642,31.20658859087721,28.7621102502082,28.61458388518716,28.90075702819759,27.246407177786924,25.544944661022903,28.896159931663952,25.599822557260357,30.335887504034954,28.992357990792073,25.876046251347834,27.048127905618355,27.50852481527489,24.588486265923358,21.694889297722153,22.84432000773378,22.453663091598553,26.907873814174952,28.994671992816734,31.062155351885504,32.84076018245636,32.327566383225665,37.282650722659014,35.77711127143067,36.216157290320936,33.446043619341985,30.12048592230325,33.167646709833704,34.85351409465118,32.11763894621377,35.53692218728031,35.10710613383106,38.62742974160283,35.673100920982534,36.52843612183791,36.198561996078425,33.596551423721124,32.00128380085537,29.635415030954327,30.007528755303866,29.907305525219662,25.343515485373647,27.079613884941274,24.403856363644998,24.385744874065622,26.855208793941863,26.461538420471154,22.471706381544355,22.27400464924677,25.688160910410964,22.523636502837576,17.790346478981448,22.312191744109235,25.572632100361485,19.725036260641062,19.88927241107946,23.660054925149062,22.244159369261038,18.4387314067568,21.747024072726298,20.466445039435186,25.911851968669414,24.035285430516208,24.774011269248128,28.487347013765337,32.55013184049828,36.30233251336436,37.642706649211235,38.22323860971299,36.925404177718946,39.49284659130219,37.22573182467206,40.54377854187949,39.062426962542055,33.089870905180646,35.55766675378307,38.02922024953134,33.679104306887474,31.68249958498435,34.884536951964414,34.25479489611036,29.952098596457727,29.2078332645019,26.77069450368896,30.01103714142601,33.20558091839709,32.95735364178665,35.6397615264768,38.25542417059494,35.895606751999345,32.216524887891026,33.761643059740074,35.3378090087951,30.671966218726194,29.105812092949176,31.86699206766208,30.34657251032931,26.88546326953884,31.181429889745324,32.21897106566376,28.17360386712637,28.722904064640943,32.49106548451458,30.74608779753543,33.36265916720499,32.150379978728154,35.144030584376026,33.688692977243214,28.104409465462954,31.145737691752025,32.182690752939976,28.905360783889716,27.094150105501456,32.6349633819804,30.9436337603746,25.634209789872035,27.86628650384918,32.2322071737233,30.02961665083697,25.96079535596098,21.37720553380184,24.48684089354276,20.720812953965115,22.497252365059904,17.17133420944885,17.89413151059394,14.698232447195801,12.538810075336842,13.629924394030311,15.939107722354114,16.673472940584602,19.311581440221623,16.133736153765092,19.850509028411036,16.495568140223735,17.048875075187816,22.31709825673148,24.645441779622427,25.063391116716218,20.01918397153864,20.57853671641131,23.70637501527242,20.676906429812526,17.26380714450106,21.524617468611368,24.150641803974388,25.39690659753211,26.171404478456598,26.501342386560424],[23.81988663254356,21.133417788960642,19.631328379210135,14.386182114399723,14.70320786237413,18.771768582633353,18.652588394786697,23.141454266953392,22.826116425495396,21.903015584616572,25.203325565615597,28.571871156252723,25.67052319795893,23.707459101678797,28.6821023527386,29.502206045994182,25.942321846039203,29.321198798453416,29.156171239686138,31.59074655568529,33.74892928729438,36.59991468024892,36.747224357951666,34.582032573179404,32.39859720321127,29.21539002217593,27.824264604167837,25.529662693897308,28.477559428175653,30.002601380912566,34.109632710283044,34.40149335656027,38.55393858952967,41.05217928772186,37.92898451762669,34.856266141319146,34.26765927815721,32.29848771897018,30.455958403752305,35.16698122465696,30.64614636814422,33.11076577092293,37.36544148535787,36.22794673349311,35.681825803563946,33.50794518092989,37.30638906275897,39.061425286779574,35.23250546573375,37.685867123024735,41.68578384938154,41.38351767152748,44.40478527417707,39.58495834949077,44.58403676027408,46.93081127421494,42.834730537917316,43.27660301701217,48.04540945102947,46.8319714856889,43.32123166008381,45.5691639475241,44.70660673375266,45.155203806774956,42.16820983296625,39.270858106142576,36.627604792636724,34.989230275792536,32.1092209040402,31.63842911438298,30.215654685341185,32.78507654402407,35.18401896658102,37.158877555137714,37.44164506126936,43.32799700782928,41.3975664117797,45.128243512940465,43.4037480182682,43.18768854522564,41.79133174073984,39.97703577609829,38.852578310436506,37.99884895079145,34.03375381560507,34.54720830716835,36.26751285759786,38.7446894363434,37.91483546965704,42.582272052935245,40.236145821602236,43.48843631624703,40.95299217600556,39.921217894547446,35.46525468638238,36.80117005375086,32.741710795535646,35.24065518290072,33.22301700491688,36.00535046606058,35.34380991397907,34.709311434735206,34.43519457850173,32.723479896024166,33.36993995790353,29.37730847636923,31.8096892128253,29.53531325323198,26.357898657796625,27.51444145664686,23.57134695559624,22.394860876307536,20.74646784121613,18.673989273256,19.718821983529995,17.250652396251095,20.742044667766994,18.96773543497895,24.38739677479496,24.943448591626826,22.03659193736435,20.418108216604153,15.792077874525395,15.34647369418305,15.69748100460329,14.790346420378837,17.97175944495853,18.730630946785563,21.15036783157061,25.06114548823392,23.114218631436046,27.66051138927882,26.661661150394877,28.98606735080465,23.55257602103318,20.237575439873584,16.781759806638917,14.825673533106297,12.603159698492929,16.460511706144572,16.06761337816268,20.72607042608971,22.25863282391196,20.9567077586802,24.610082617151985,25.454464602546516,22.451437795993982,23.97436215854298,24.3198716584529,23.90286511144092,26.345996633165893,27.963627872234344,32.5473619021961,34.078040224587326,34.141478873898095,33.363084662608685,30.263498514262412,30.119504441587136,29.392745015783003,27.702776833419385,24.69322320985626,27.354612552090206,23.060197835725322,27.801419077474776,25.822270237660927,21.965906671234865,23.64976510087642,23.368522456630306,21.072518963472934,18.116603719139704,20.088147071304757,19.73164261517622,24.630051697607957,27.29384604006148,29.71360734890632,32.23220184076809,31.747573958890865,36.765022194739615,34.44157169143237,35.19218205323514,31.645208795640734,29.457024253767994,31.801155293566335,32.93912087600798,29.85204382043412,32.62058572256872,31.971427440693688,35.092817907078,31.34570449428298,32.68757000827367,32.364638411245,30.32821163710483,29.09298488769801,27.302927769677442,28.30458592933429,28.77907994465812,24.72318983999026,27.36076325730258,25.58916157830155,26.107813224375423,29.28654953478033,29.421907242944908,25.314081186525137,25.398329646463832,29.36991679141585,26.6928289634109,21.945150227401655,26.662870227904563,30.408749744081444,25.027283270995547,25.27750730700693,29.222953730597247,28.1253688058069,24.55400877069897,27.714942817679766,25.967621922705465,31.480506074332627,28.504144243440493,29.271059849388077,33.24689740908833,36.69351763950568,40.80864996445629,41.606391468589685,42.132253050177354,40.367470924098996,42.620352261215174,40.093741979783374,42.92340518036095,41.64908716571881,35.69478892176638,37.60507969604322,39.69453597127114,35.52950291552549,33.26090985194148,35.822039067485036,35.13602663365694,31.069693907914377,29.51410523576765,28.315725485360826,31.323186534856628,34.84519110696866,35.52659914107456,38.088290328370746,41.39469159985804,38.68980440093367,34.946880114784584,37.325353536925704,39.090115415617475,34.285207291088895,33.18216663260315,36.45498798247922,35.14264163712802,31.825290061826852,36.17757828553717,37.55631117715886,33.82735441393767,34.26297079630798,37.91839716674425,35.85465736842134,38.03021567057838,36.320529610254106,39.00944527936476,38.07436487979621,32.39530865737582,34.68199286309849,35.85044891146342,32.82095912325898,30.241217043597093,35.48656879170466,34.08897278929457,28.698590864281645,30.011497182264137,34.419005305465824,32.476024857408156,28.39004480158759,24.283608295123372,26.861524784787864,23.53799543164105,26.351719375864306,21.442827532937535,22.328254334446775,19.96255254374045,17.37648090812949,17.41019918784008,18.650802672353127,18.746836279813884,21.994245180055334,18.696124440589912,21.714494246367334,18.481165139910438,20.669143170518247,25.612817669808127,28.54728882718974,28.815290047395425,23.841570051043853,25.364671491183348,28.624093561953806,25.02471183242628,22.60748680276576,27.19752315649822,29.94960808289884,31.193926882111153,31.903593785117092,32.28330187957686],[24.914509251992243,22.679533488567774,21.91120494843874,16.222702537595808,17.392009627756135,20.238203700993985,19.909614092429017,24.302161560554055,23.108177624531372,21.877501131092693,24.78058995658213,28.522825781642535,25.83922863345575,23.122926809664595,28.083372327139738,29.35429145105073,25.83727653886861,28.977890853560545,28.583840165520687,31.564663134355563,33.491441960335806,36.72305163390321,36.57325352133658,34.451984033573154,32.60693097680152,29.122475647020895,28.200608027479255,25.803377764517137,28.71058003452043,30.43789488534767,33.76754082156755,34.68821208443305,38.598127744025646,41.01637153682639,38.21645892892711,35.08106175526896,35.0160691567392,33.035886144155725,31.486872213514115,36.636987463206275,31.818666960925643,33.71465648174549,38.14133883899722,37.14551019391968,36.490291108576514,34.669591561053764,38.4702814793731,40.180200127286405,36.68403507185019,39.436278815118186,43.31424012233838,43.18829140005137,45.96959197263546,41.08627523165957,45.97272199262381,48.119172156234754,43.781151160534336,44.11782527034411,48.85886725057146,47.56167652464773,43.73808882043165,45.66938899523599,44.62820051118453,44.832115063923354,42.09392187223985,39.3191118671464,36.06831894051236,34.468005721710206,31.084974300375762,30.508556948689222,28.7513813305205,30.914667170411654,33.742706291405405,35.91661377014765,36.62682880410208,42.57158196110492,41.13598291097449,44.942983671921034,43.58562157348249,43.659391834614134,42.665409224054756,41.22966510582901,40.33204569852672,39.83470659961555,35.78593741318471,35.87642204028545,37.131106448286836,39.5737775530044,38.20241193134588,42.6968229125543,39.9514443482815,42.82668314253045,40.252695029001025,39.38462334765008,34.95947824515237,35.95357639828523,31.914783527690098,35.081939375431624,33.33645217693498,36.457379883588054,36.03785573484815,36.025884948475266,35.782105447354326,34.6363903828265,35.788333717006886,31.92645881133652,34.738193782743366,32.773330718040995,29.589325192273563,30.293221685471444,26.198974763763523,24.69045518651562,22.39443424331058,20.30267299692927,20.374078887593342,17.79062927409819,20.86781962374242,18.95967220704338,23.728176699815712,24.377781326453977,21.135415116660514,19.7386994442927,15.249850462729489,15.48958454922407,16.398612190075212,16.75694114251038,20.23308452980753,21.455389060226008,24.273256571814837,28.10751327041827,26.70155160063786,31.27484120590364,30.204289571280285,32.17887375340776,26.80643030690084,23.173559366278898,20.32014801452936,17.6980453489566,14.842682934387106,18.21160734449467,16.95138308217377,21.52171289199709,22.86359788706325,21.99744033263984,25.719971159717183,26.370937207758132,23.481935255982997,25.064557556953677,25.8464365151594,25.120823155740815,27.98608394764721,28.995036895282322,33.859785416234814,34.87999526282798,34.682589102135786,34.255159125998254,31.098299529742587,31.54124444164442,30.525636527887627,29.617987375802123,26.716945944885126,28.82005794169585,24.79859198866743,29.547724089926824,28.089996912691113,24.225348902832728,26.538129452407684,26.281845488706093,24.42597235757844,21.210299350965297,23.270273015830632,22.369571703470484,27.14092277883727,29.63153328130813,31.738194746291512,34.23757214420084,33.20526714066556,38.490500026579085,36.304263557554705,37.39836247418355,34.0415013542529,32.06466743750489,34.73710202437709,35.96463119304326,32.70889042346834,35.00727875676058,33.867116408084996,37.20713613802401,33.30818523441266,35.165407055084565,35.15466229149141,33.16165724506797,32.35616216551747,30.78687715830156,31.988248559758564,32.702146499199785,28.675193344632188,31.322244685485966,29.57419105281934,29.7856191953842,33.04185287616043,32.84194058521921,28.69537720188353,29.046601992303927,32.84029171068673,29.812734184401684,25.283030198355835,30.00730180409146,33.39304036375136,27.72996628907038,28.087708136620858,31.913943772139053,30.403290727096174,26.734362388470597,30.074581644527004,28.70022295188362,34.1874125689824,31.742687547784854,32.61191325538184,36.4780582969729,40.217774844440214,44.1555897045924,45.215051818668734,45.74966348718007,44.11404569563223,46.419518085511314,43.84800885660996,46.851231369299775,45.6188548622206,39.60788811624573,41.56159634260807,43.80935238714137,39.642739443905555,37.34887397661728,39.94282051898903,39.3620654392476,35.2761735636549,33.67531467687258,32.37034533297046,35.17097599757075,38.71201948939628,39.21674375362125,41.63552697745417,44.79988207460211,41.93808946878598,38.272513340956124,40.62896822669649,42.107844470434706,37.21455497473627,36.24775591841474,39.22758016680429,37.65600177044438,34.482272058177365,38.97782987433232,40.03586311851243,36.038942376325316,36.8400355344989,40.621045972838274,38.814851523824174,41.19340554043634,39.62059143041866,42.52390224114171,41.46127247676184,35.783450072828934,38.33885177651942,39.54396174052723,36.42473246791478,34.06213767226712,39.42283975715402,37.92642599618539,32.5476619270659,34.08152907637173,38.47628696084586,36.40292974934076,32.31014735474253,28.06151608991751,30.563672369149135,26.994245222309647,29.625506883566786,24.611429762651095,25.646628234068764,22.842929237203002,20.35083130622417,20.900377698389118,22.38703751216926,22.741258596382064,25.89394444261018,22.412128344790087,25.421946371454112,21.779878676300402,23.65495753295669,28.435760624992042,31.32241165530475,31.105876673012535,26.21444643868385,27.787920582397216,30.648750730902453,26.70331542810396,24.365893236645004,29.076593784781057,31.48489153755079,32.747702781374045,33.590345423987664,33.91387473097391],[28.762224430544276,26.537903089149957,25.668668288325343,20.01864551790767,20.774919458489574,23.736666012849632,23.03351656712235,27.296701230389147,25.921090808894306,24.135562478172687,26.849688809296186,30.781189545786866,27.67388271291923,24.726488386771223,29.42913869466237,30.71401754390393,26.854217094356674,29.48361958884603,28.367973010054587,31.509614146188262,32.95237012378228,36.112557163560595,35.581775321281825,33.192030312021146,31.769158681788817,28.45314933680289,28.045927108357837,26.1064101822163,29.382927393725613,31.615093288634426,34.68034435787356,36.101156891078695,39.97210535781608,42.003332387463736,39.20801916111355,35.78600122746067,36.11898576654757,33.542152251771775,31.85873284783242,36.915690015713004,31.678424539311003,33.450962308524375,37.82524826668827,36.55291679004295,35.50352014454813,33.738712833270476,37.34014326653443,39.34686312891972,36.29190413684889,38.85183458088959,42.882715890407546,43.08854953397885,45.81224861681017,41.083617319624075,46.170181963907346,47.92297011054284,43.42728782794263,44.11467693791665,48.72569101164839,47.019432835583835,43.25554540409974,45.30357617637495,44.470554470634724,44.237280657988684,41.473061166284644,39.05880877596657,35.614876474498786,34.46983436125399,30.84436924295759,30.740817340090143,28.69536109128113,30.65685019525903,33.750079709682936,35.56979082272523,36.77279214342836,42.55311985585755,41.19178707075776,45.227523440237896,43.9061179366548,43.862781819975574,43.25998606264215,41.74380733322681,41.3496091650847,40.708462535129506,36.486316340342256,36.70728807094985,37.564218069615954,40.407629673607694,38.61861334775112,43.35924972603735,40.47833773661049,43.21718123432474,40.91071585417306,40.398175922157314,36.16182629006565,37.217820134374946,33.356269323840266,36.75742006743329,35.33605275131744,38.85015399378467,38.00812427098071,38.388388225304496,37.67476491198276,36.90178071399048,37.770133650381766,34.242290216493416,37.19978752312083,35.12770535903927,32.24707476276619,33.01022877029506,29.07944349003062,27.12303536466104,24.983540550662102,22.384291945886776,22.06010298233651,18.995373619507557,21.51317915091791,18.961244410431124,23.24373999168763,24.627794848561546,21.429585977962727,20.66204505769372,16.152149347551624,17.174589000653913,18.82002518010655,19.044940933019532,23.177149322047022,23.949780173389424,26.779266384109892,30.254215414654702,28.844719090024128,33.331356383835235,31.793822967082654,33.90671127977038,28.337705329586658,24.873203231524407,22.221700855920034,19.11062141350544,15.884650258387943,18.988924589776154,16.57002101256023,20.70130988343927,22.539027580644827,22.270436773338584,25.969483724090995,27.11434536064085,24.50731608614,26.61258333300217,27.823442065083682,27.50402011943672,30.69540221311773,31.83126552917364,36.765079111771406,37.96621761972078,37.44080067356386,36.84378439144566,33.46176142068771,34.00095515325352,32.52934269773048,31.752996022077824,28.35475984015165,29.962926381828538,25.590538367168325,30.195792301819804,28.5087725235083,24.323376283784917,26.95458777043144,26.22994433405287,24.869486480854533,21.768083414795022,24.209136481475657,23.314599591950063,28.12711289772091,30.824051572936163,33.01212358962592,35.822326805547156,34.727434699345615,40.00677182831185,37.47203161125959,38.76049525158632,35.09393357736649,33.743319691675,36.05981250876757,36.99022188061522,33.59645447451051,35.42619579086287,34.0972372307772,37.17109948905098,32.8063209802432,35.026949033539374,35.04884353869904,33.46199762024407,32.91188470752239,31.709326330376097,33.20838605534194,34.16706981054583,30.462305000549726,33.43740636311349,32.04171277337805,32.48855429716278,35.92407785259089,35.93237327346895,31.78258669828231,32.154381109394876,36.10352336446479,33.252449022837204,28.671578238182573,33.40676551966037,36.969442174704305,31.41066852894326,31.71940165140645,35.591464512863666,34.195559161930994,30.509122911146225,33.74498999611017,32.245315701003925,37.767968950285415,34.92812632339924,35.919857862416684,39.86771144694421,43.41478933278668,47.42627639986043,48.34589327732853,48.94817642889465,47.192317881417736,49.41593671745068,46.80644022120602,49.59864567057317,48.39506156655078,42.445661728981946,44.218789480160694,46.254444901698626,42.15101461796925,39.82254329557638,42.16239028402965,41.4692542718635,37.50288105239252,35.69622346063599,34.8920234280459,37.651656330214315,41.277578922840135,42.12027710742751,44.5076237082364,47.89608992048504,44.943815998444975,41.27082567148784,43.87420391081902,45.423003523301745,40.50482515582192,39.66048107517886,42.780583253722625,41.26797567504821,38.122092515208166,42.61292098916722,43.76036944976079,39.826874950590174,40.57284600380849,44.320879984309876,42.41991037900756,44.701452958238804,43.014175016707874,45.79319067461094,44.84191483630673,39.16043498159966,41.49484835080836,42.66908925620883,39.61362756153508,37.05963794466009,42.25538084980516,40.77063724210377,35.417663755487304,36.679837664959855,40.98572881496004,38.92507484505307,34.86707746309323,30.812848461145716,32.968511349715904,29.529343506327184,32.51910256400967,27.70969167681597,28.93896133275416,26.414080691639153,23.690785665837275,24.026640265578326,25.12267982975185,25.40073815492371,28.78799680420518,25.42456340839428,28.220571685845936,24.71407062217467,27.010463680902514,31.67865485851498,34.71781902751265,34.452403509784695,29.614482365123123,31.41233448794052,34.29012853024794,30.20281475962033,28.105910019823888,32.86995578571305,35.25571716112615,36.490323265720875,37.278640186473176,37.535233064781224],[27.71805463405703,25.778946653153533,25.16172978028654,19.27920643861261,20.13911640286843,21.798121611786158,20.631303685300114,24.58788516451509,22.532947060745304,20.43978713866575,22.79498971691749,26.901264962473483,24.021911501840425,20.620602153399407,25.25646489801222,26.84605188002379,23.224668689298138,25.842278565608414,25.027464487269178,28.499145701324107,30.095259468002798,33.66116481395174,33.21037802127789,31.209926968079895,29.724664538546683,25.985160271198204,25.61309896885673,23.27219912356495,26.175820843385235,28.293767956946986,30.75614722633285,32.481024149816605,36.120204217449924,38.2101457963152,35.71606906243553,32.431851009647474,33.04912559426673,30.86408979639214,29.633571241385564,35.18179700918894,30.09047334700978,31.24706124146188,35.78628203185656,34.97914234725882,34.26566530963879,32.98374746607193,36.73841629280755,38.2562993915619,35.24472567149547,38.384817798088974,41.98714788441151,42.07443717224007,44.483507960736375,39.575096126493406,44.28681348878789,46.146588416114426,41.55590004621452,41.786454697434515,46.44437632895728,45.05409760204796,40.91131620256108,42.498173631510646,41.3207547119544,41.228645298711186,38.76262774983667,36.17398571104235,32.35903696914747,30.912400257123174,27.094150203642076,26.6114091315458,24.533609319630653,26.364767900633158,29.516501680042833,31.68505794642053,32.85880140896552,38.742746708540786,37.74763896189745,41.660084610393646,40.654879026698474,40.979066829391215,40.51882973962924,39.488859247111975,39.015782855042715,38.89375126382745,34.76784553153684,34.39705906932684,34.999052327670476,37.50154977421926,35.46054996217398,39.84029933910518,36.7235420800921,39.22072320514587,36.77005270454653,36.231833578029104,31.997239292033026,32.81102868492677,28.9673146134034,32.72328456768351,31.481913220891617,35.20707160367639,34.57458632890075,35.46472236921131,34.86548202024473,34.614680320798364,36.13413065355532,32.73527781857918,36.12309482560679,34.54493162830331,31.674528151599976,31.786831037765285,27.773597493006566,25.465562846915972,22.7051738209502,20.246100262271348,19.059609750895692,16.237395771748915,18.48067274902737,16.374125010636252,20.17777633366088,21.058654947213675,17.63277744917137,16.7840434999867,12.673264763147824,14.019388366574645,15.982972756940184,17.428065123102122,21.667716229960014,22.913014624845598,26.176547068892276,29.534832004263645,29.003516251926936,33.498978403174235,32.108357862373246,33.51554503403113,28.283347440237733,24.346555781866137,22.581830228212304,18.92631978363402,15.402235971864453,17.865849713599673,15.616582740379103,19.793993844258747,20.755468961735147,20.484174509789863,24.12766955102521,24.630404509382757,22.079148007688108,23.906684256063652,25.393279498173165,24.723375213205884,28.242371744790148,28.838723438264946,33.93499798813684,34.822054222415005,33.96550457249339,33.5882394152517,30.19489278705701,31.249421114942084,29.578274476511613,29.59450678220751,26.581155353627366,27.75566751139728,24.080502304780815,28.658710029470672,27.896333348229916,24.219736714484966,27.369001662308566,27.32089098506123,26.18136976544718,22.587042269412816,24.65899744757262,22.968007423379085,27.387004392041774,29.62713810769201,31.31363186091891,33.876248829320595,32.21249021581283,37.70324604803915,35.55191161809816,37.12759876704831,33.973947683599604,32.5458751874021,35.493411629326225,36.77556128711808,33.302674134920466,34.81962120598009,33.01671791194359,36.60588614807638,32.667679970653474,35.1823276911566,35.71417880761639,33.73130385830651,33.665994871149785,32.50056625201085,34.07131860450858,35.31622520470802,31.467969115071252,34.28269568547522,32.94777758960557,32.705009454827525,36.38903893375315,35.79896625394885,31.629124165760494,32.68677703367082,36.38307475883632,33.06826265061333,29.13978544847794,33.97884674701394,36.89808393269133,31.275806915005937,32.07254169846012,35.79927906255917,33.82122210441692,30.471508852504915,34.20821969282459,33.08921772996177,38.459664689301185,36.541123863053656,37.101341431676104,40.8707825813473,44.68654674312242,48.67607149147708,49.67983776921333,49.87223730729618,48.10006565512378,50.196170898372266,47.29499244957397,50.422813481970515,49.54838256015351,43.40460872581198,45.06625575464834,47.60755571366384,43.666954371061934,41.075810494715604,43.43433726196806,43.359320982899995,39.40409807593274,37.163399634972606,36.05926110900396,38.13857907176243,41.80974134869586,42.38205976380358,44.40013236562489,47.62993499587364,44.334883694970934,40.83240720710484,43.59568208748557,44.66921041310454,39.62700757632714,39.198986856891366,42.01307120749601,40.22279460112369,37.444738880196105,42.183850463831135,42.99897750910351,38.959808580253615,40.28126820426593,44.14523999770761,42.55063607830067,44.83059647421099,43.07315415534118,46.19934062265774,45.43052101836571,39.68924576960814,42.17327970799988,43.747123064358036,40.727660386449166,38.20246528571194,43.706811695209176,42.549745890710255,37.118682480323855,38.42533071643255,43.03200029567199,41.23190982031093,37.13910780906414,32.92717205362338,35.6664994611888,32.18481018444724,34.69278371189416,29.564356921628224,30.22683294515424,27.05301959151455,25.08753679522033,25.629168582131825,27.322798134765996,27.349573683667078,30.161382955721873,26.104126076682846,28.600883037247574,24.48410073755483,26.549823284307006,30.737531675036134,33.80301236706726,32.860311331234406,28.274721975279146,30.43959904298064,32.79555794310959,28.238739167064924,26.719473324557377,31.687660298924396,33.758865976089005,35.05323379704871,36.04545043737549,36.45990340053986],[25.155205258803292,22.710727428918645,21.306214013881178,15.668025079731214,15.59692011667995,18.400139512749437,17.340010000515004,21.547203375076116,20.481696532759717,18.751278698865658,21.762225927737525,25.464786339921773,22.279293819975248,19.818388868473996,24.667737256110723,25.6864703682779,21.978195756257676,25.10715418150377,24.768554450549335,27.544635898690505,29.60063231286615,32.75514037029658,32.782144455086886,30.77593790878318,28.71204290162149,25.229766781164862,24.104021758874186,21.691917802073682,24.648904868299773,26.453401991224197,30.02651747561036,30.87115913786615,34.88199836429569,37.17611809761182,34.24139208573887,31.045215584918818,30.938282660686763,28.856004119929207,27.283746848605244,32.459354997837075,27.713943472086846,29.610808660239446,34.03479320469867,33.135068746242034,32.65652920684222,30.90972550861248,34.80137683185272,36.2982550778468,32.71372002783105,35.64481980236417,39.372382741224285,39.17154944502497,41.88835711717542,36.95645637393723,41.788032702069046,43.992674217726595,39.6820256146326,39.9467234912608,44.7097201355307,43.51315217568928,39.691908842781245,41.653334642196064,40.63919367397417,40.96964706526928,38.166340727424924,35.298951418199906,32.270711717997614,30.63646564217947,27.50530551498961,27.040867520416967,25.47544508513376,27.957272228881184,30.47143825945423,32.478227711498064,32.96461037991219,38.87337506824784,37.206932276536286,41.00649536804064,39.522519481402284,39.52037973588565,38.47915745285748,37.01676749002347,36.16607273077541,35.68278403190469,31.622093428498708,31.683300250850216,32.9339392075684,35.42408794438984,34.11080854225556,38.704941749290725,36.09032961594729,39.13425849048475,36.64999926274312,35.81413896704749,31.44248760358898,32.71068485088914,28.74900013152638,31.63888454144013,29.974179217150684,33.290001156853705,32.40382943148049,32.525905331873,31.941626122501678,31.011888278088247,32.06487807357105,28.451207783653118,31.52950851248365,29.676383338902262,26.773760923239493,27.260628167616286,23.318584006029962,21.25858726530457,19.057584477061674,16.539456626520877,16.490150900072102,13.717109919351861,16.803270278767435,14.92980836348781,19.979661814138474,20.557616400871254,17.485351604996332,16.09812591108829,11.469631557574264,11.733464204423157,13.03937549992244,13.193759658106316,17.38758497607233,18.24675414683114,21.27726558715291,24.770491661818543,23.84314922321149,28.371955096575938,27.08888571294911,28.745278359744447,23.427931967069757,19.619872953606333,17.391754258432925,14.127373296473378,10.976937616176713,14.134700172753664,13.064832988839239,17.758684118109002,18.82447982773424,17.832746251601332,21.54951918989249,22.18243866551258,19.32670897252464,21.057488427325698,22.027417356938145,21.641484438325715,24.77368071900179,26.067913699310136,30.94229892838148,32.43488677990264,31.88732861685022,31.092816329519028,27.72000662415815,28.105745377231095,26.778399926100665,25.904989085988973,22.76889806427188,24.67475573506299,20.66298746653109,25.403685993975508,24.163862834569773,20.49108542505591,23.07618960104784,23.191644538548267,21.563154633611386,18.016480105687954,19.936753015608538,18.609228085441277,23.251933184262345,25.65968443963243,27.682718709321684,30.25760823650084,29.17260788279181,34.460038806656634,32.193137908619704,33.390760243299866,30.063666365427597,28.28409099475071,31.04336589661791,32.33157404876563,28.99443520549921,31.09486916861389,29.809439558038047,33.306506754697494,29.613386053748236,31.551999915973454,31.801795207391102,29.619585931750112,29.132194492305437,27.68913381697103,29.062722499183266,30.12971035066281,26.193907156929303,28.970310472434374,27.63094374778905,27.527827722032974,31.227231676668627,30.853669441703758,26.68431057109071,27.658826369090484,31.50266457637862,28.44061292684929,24.436776841162906,29.320367785977968,32.48640210187661,27.129299711810123,27.94598403287263,31.7885633430257,30.120355749709205,26.939428829865832,30.6246443750672,29.187371770663333,34.56487623487745,32.29800068229523,32.625108923966074,36.47156190988802,40.02942558084061,44.213008300338366,44.94539299693594,45.0225322250231,43.09456044242323,45.104091406276154,42.17748314216735,45.19351759070197,44.35246640545319,38.218549135741746,39.80212992416181,42.29814526333021,38.404338142369966,35.76638786215492,38.08682017515587,38.07085141374483,34.14711550277713,31.823686083033763,30.75697812669583,32.88283753161473,36.5559314571744,37.26253595977307,39.36680464050722,42.740814574666274,39.533694552388155,35.95331363980326,38.79685905883602,40.10161087930643,35.09762796114302,34.60712895498652,37.71170137103412,36.150668121724856,33.26550512212307,37.9277946502058,39.048207918920035,35.27058714303093,36.30500939353955,40.07068960902365,38.244576074062955,40.29614432583573,38.35807924584927,41.33248284350508,40.75303525419038,34.98489152978478,37.204480816507896,38.84418458386569,35.93673207964155,33.171642292556754,38.6284480704216,37.67786339214506,32.22327847595923,33.28695545669916,37.98377780643715,36.41130861962933,32.33066068355813,28.251551353545665,31.227205198740347,28.015871300326456,30.571326557536306,25.4750827978473,25.808980510540177,22.90130092732692,21.06177959808456,21.135204843037027,22.750695839384488,22.410709159606704,25.11916248418332,21.00796813323776,23.4087691580316,19.48372459383243,21.906268430726474,26.213499643000134,29.387778096338725,28.84979528687593,24.13625671861566,26.381003541271912,29.123925692756355,24.788647909669546,23.27103365359483,28.243160431924533,30.724151548160815,32.04800243204593,32.98490490791088,33.56450823645563],[29.94435100664664,27.307701403672457,25.485641270834225,20.1465993012,19.24174052366356,22.79902949895576,21.398370700718406,25.410328719351444,24.580913132970643,22.25742551859113,25.177371030288892,28.9036652315022,24.976959654305404,22.656382943713645,27.07043082412392,27.808127470016903,23.545895755535167,25.986904178677445,24.625352630758005,27.260682878683276,28.6970246350627,31.46092602680789,31.093343313897748,28.602687318110288,26.947827405090656,23.950909413373154,23.333235047510495,21.776963699996656,25.391171252307785,27.883315509705884,31.547078747082413,32.75913040869593,36.8516920364424,38.582732869214574,35.442693938660895,31.833833626885852,32.01314415992252,28.952094612680362,26.940013708841054,31.662101965702277,26.39180273781117,28.514384211336395,32.749229864066926,31.283945445126026,30.234580579602486,28.293800935092705,31.912422455525867,33.93368317729616,30.79384926052553,33.23039537767706,37.315630714779395,37.53585584888291,40.33865812049311,35.685506543041406,40.935451927983166,42.64314394243609,38.23445780498179,39.14713700498414,43.72748087992878,41.928075679712876,38.41682499605286,40.80398079586888,40.25281520089724,40.06771291476183,37.02553858211705,34.642538884121365,31.747422738217026,30.819114134277925,27.671015071588617,28.041787897540527,26.268192986523765,28.727425645373053,31.335534319357947,32.638096618812234,33.591900460117344,39.19667359826623,37.289583790900565,41.399674786089136,39.71317127260695,39.31674725469541,38.62641289466142,36.769903635047115,36.59104903269157,35.63152584564923,31.336757406561837,31.906845438795642,32.822335648147586,35.994622721221916,34.381512817293796,39.49061411693023,36.94242160670081,40.03236306433513,37.998005051704475,37.606480696594666,33.522551249584815,35.10452805458746,31.417482093136435,34.223260172979685,32.89306281216134,36.57184196305285,34.89559570744639,35.23508272610393,33.89396817942,33.20510672413675,33.47049587491465,30.349485435330426,33.40176144828257,31.200859969949953,28.826369191387418,29.67546449260117,26.134093340252363,23.596055742001884,22.07922340518049,18.806083587433445,18.726043546220534,15.251800901104058,17.608668340069567,14.675182677764758,19.43211915217252,21.188249472507827,18.45673051324924,17.967601664004608,13.285400739166198,14.410237999885048,16.51070435407596,15.694739299363773,20.62919436193717,20.4808652243997,23.231696395736428,26.12179794045892,24.875947050898226,29.195535587852113,27.179536777328536,29.26809251033603,23.61265470074305,20.332554975530122,18.137602332584056,14.442444469853857,11.043176495972945,13.983210146103957,11.261053470781192,15.353064773450885,17.510148282164675,17.264698208675668,20.910204258715922,22.556877400814717,20.12085336543554,22.70064479084649,24.088841987318148,24.556606646964223,27.895633808396475,29.72215198682672,34.487062983860596,36.522635364587806,35.661272577003125,34.41669922870679,30.76676842911195,30.93773009888496,29.085159788841207,27.933441847733487,23.927595095343634,25.34767489648082,20.53816359573868,25.022631066972192,23.0184964821547,18.740396294186546,21.518018455588788,20.807625623565798,19.787231887935594,16.563629030715774,19.128757505041914,18.150742732340504,22.945940048277688,25.8248792010554,28.18882271194767,31.287270999263907,30.46637515294672,35.54187899103765,32.616339195184906,33.90869470162005,29.942905787619505,29.092223123670102,31.0304112954644,31.759564899509765,28.294599807437276,29.905375041948655,28.622226834616647,31.541803430043828,27.1422713668243,29.367126484643677,29.480555053982766,27.93219344605656,27.621877564898824,26.67405822290516,28.439816892728835,29.789719045260608,26.407381447809193,29.691789976516045,28.92855303610858,29.379118764573064,33.270292937853014,33.41854328736367,29.315592586692127,30.14260430403568,34.280144151972436,31.708656928979654,27.527407051603557,32.36450168568499,35.973640743369366,30.937943212627495,31.58642348144581,35.53716956613825,34.270236433901204,31.08365444410537,34.48957900210814,32.69098951485563,38.12613490906986,35.00978041243006,35.48135176082141,39.48871845221149,42.59480716028915,46.962273168529,47.34805540932599,47.52385972046212,45.35160117355221,47.19938291970628,44.25568794933144,46.83136935536167,46.01734353349101,40.044249645276544,41.31232314764005,43.37848413408783,39.60978931712386,36.94512243619592,38.82335615927147,38.586821638696115,34.89205256705124,32.26719868668984,32.06968505517604,34.227902469231644,37.99146973302074,39.32643988938858,41.45250794014846,45.235372874359925,42.00344811546824,38.39092131781111,41.59767294518615,43.169413056991075,38.21630571386744,37.822185132273994,41.278489982822684,39.95980143032463,37.038066347126644,41.57865184785114,43.001787553281815,39.46641286894236,40.20217876032866,43.83913319548305,41.73992320587962,43.53758231410375,41.373126928853914,44.020133052372174,43.672419055005555,37.93375268104186,39.66445309238523,41.22014904069935,38.47104862086972,35.325760895390275,40.4290131584262,39.55712490550215,34.17082781014718,34.695108707222936,39.234334903484374,37.768206659965244,33.76843129891868,30.082769148546525,32.562241219138755,29.681669432932967,32.83603897246661,28.11354077604532,28.691775638268744,26.43437945208775,24.17076427473277,23.730739243329428,24.62884893614384,24.067087204033754,27.154226147037274,23.40529309697981,25.452353212101862,22.047237211566085,25.226279461747517,29.415422523918185,32.799682656661126,32.48548285914854,27.847996750832475,30.325907993620163,33.29928141736418,29.010238213211462,27.7313447127378,32.66357142189518,35.31366731811891,36.608001217879284,37.4168548481473,37.938105176490886],[31.345180920111407,28.961122262287123,27.3508507109277,21.81856165266863,20.92364306646151,23.363364599854304,21.369401262551545,24.987204032837724,23.479166384491684,20.51232811741953,22.970942243327258,26.931618559505885,22.877671438326196,20.052104783256233,24.153732280913417,25.12921629497397,20.79704808671332,22.812751233617895,21.134830468579292,24.222284582653845,25.44853912844198,28.57819947943509,28.00844290877855,25.68653528739751,24.262684054959546,20.92302055508937,20.752974034226312,19.149656700317955,22.733841087350047,25.527982787694544,28.464606534584778,30.317263049996736,34.17599660725898,35.66724065937702,32.79324919605743,29.08534884220427,29.83173089945358,26.679367343054526,25.01407356458662,30.18439575950339,24.720505413650038,26.12098128224852,30.511609415429536,29.31857476768253,28.32397684902697,26.917807265422546,30.582735942975262,32.3091088827379,29.508739189838504,32.434245292563766,36.17576769671785,36.52046253282681,38.96428915556676,34.23837162937268,39.25227810163507,40.78224667413401,36.15516888283075,36.87102778350396,41.41228387546964,39.627038208671266,35.77100649846016,37.809652560464585,37.085502368283,36.724151777270606,33.92049694155334,31.619581105965974,28.223208592654412,27.35523968115104,23.852893377077596,24.285489977926208,22.285840000100773,24.54647135574818,27.356685785066567,28.67299101908083,29.95031554530694,35.54397013542702,33.99577284628573,38.174641962078304,36.794424968395376,36.65445505791141,36.386741119055976,34.94542468111703,35.061109457012094,34.516534712759956,30.190210076202984,30.25544874241389,30.620162149107443,33.770192480783116,31.603418595055274,36.57907276997558,33.7186056280849,36.51553829019043,34.554641818339796,34.40426188455557,30.470129204673768,31.919226149289997,28.403680146169737,31.634919922923636,30.705347807707085,34.83741419356299,33.03314223874657,34.11645427619269,32.54673268283875,32.61991240472248,33.31844527072653,30.564647700350708,34.108879135962674,32.33817256566632,30.16653964611337,30.42241777393912,26.92024447918651,23.79093228850265,21.801569080834994,18.34363289670972,17.133532043344573,13.503103579695138,15.068107434450663,11.943954744763102,15.895666355055381,17.842550684292657,14.965084705856752,14.980241545820641,10.654128047843974,12.770575598693998,15.708114435531401,15.946611217736057,21.305785113437768,21.35567860219358,24.504661279835105,27.038585880453653,26.67111855293013,30.901201953976166,28.779235396384564,30.221597170006984,24.846907997054238,21.23581808975903,20.115623527609575,15.680565107839138,11.82580226537021,13.647107414547776,10.062143211494393,13.824315521355514,15.403524685505468,15.688528368636735,19.26109152472028,20.653047808972136,18.502896667551948,21.233941996684056,23.207913358347266,23.64459579248286,27.4881218208513,28.907427779650135,33.83462430878504,35.71149828162933,34.34196000228083,33.16680474974227,29.362528141350122,30.063901061131578,27.705468045803805,27.405908800996205,23.449494969906254,24.04605050901277,19.708284722509717,24.031520922294213,22.8861280964479,18.964933240764886,22.526153575488966,22.242612976302084,21.831906799902956,18.24761119939151,20.590831654100032,18.76055138709747,23.087167108201644,25.60386683900314,27.495724878364417,30.561091688306668,29.136451558948558,34.403447915414304,31.61018731284503,33.32966722576417,29.680498627042745,29.19554063842175,31.52401160274379,32.40950675609081,28.792104825146716,29.723974866710716,27.794854690722396,31.05964067650045,26.789697189424835,29.604165290509066,30.28314965531639,28.61687431840558,29.000289783261994,28.347140961654524,30.348493028887816,32.11427101288191,28.82403837110877,32.08744478097715,31.552893840336306,31.479282736510672,35.6595392267353,35.36339077123165,31.257316140946447,32.69326032395695,36.66046642412863,33.75953820782071,30.11360510801047,35.03229067856276,38.16196699022484,33.09827833388626,34.11763453542633,37.96603241324556,36.25127162960355,33.30500228761237,37.07463802070401,35.553082990688814,40.897585988482746,38.39052625765344,38.5922574413423,42.485225947096126,45.75844240121596,50.11852618862517,50.539387401946094,50.40850769780135,48.17758720287269,49.878341901882415,46.6670333689677,49.43122919496939,48.923510031346446,42.82420394301633,43.90673393733565,46.312276992742675,42.72889569498969,39.83132303459835,41.59119277500336,41.85413401974904,38.239300826628345,35.16578521870308,34.92677169081909,36.44422039247004,40.26817939340808,41.5185478955809,43.285302220615954,47.02983977719285,43.441644377517605,39.993870171622696,43.461740711605565,44.634169957996825,39.5676474273345,39.6087739704101,42.85090984242626,41.31421650641919,38.72978706380521,43.48010066975777,44.64855921546259,41.04342432831143,42.248366069320525,45.974316970444605,44.10218477519185,45.86747374971208,43.601804403109924,46.495749155679434,46.34298719939431,40.558458446584496,42.334374891331464,44.20980313569728,41.510674765948366,38.33428447257174,43.6211208586401,43.012566660645845,37.579780275560424,38.05710722184972,42.791936771198564,41.52419251651454,37.5145566492955,33.75890664250079,36.54439028949498,33.62568126872098,36.52351498910075,31.606551214815465,31.863853979194623,29.154973641596786,27.358216213002,27.08901206966186,28.345805448339487,27.628463876640566,30.334377889333453,26.078279615769592,27.77359304654687,23.89998606499054,27.01971460189869,30.71421644943208,34.183840269087646,33.23431446797749,28.869541868881193,31.762815256704545,34.28045574338332,29.521550520158232,28.85530857519913,33.975216214108386,36.34149580414961,37.69762180260882,38.67371762313656,39.29969043973902],[26.846615628447772,24.54513773024258,22.98402413165845,17.47084196051981,16.645411744780187,18.335960001035957,16.268954212934723,19.91611370461574,18.34163915404508,15.68165506377394,18.386631725227282,22.27034484082273,18.628779724965934,15.901659724096563,20.48638944373826,21.53612299259329,17.642776092651815,20.527180865829134,20.119510274324444,23.085229731451847,25.15058608290001,28.5349149376073,28.584908144266446,26.837134000730664,24.74358686118249,20.99156846988734,19.97693336266604,17.41604618899381,20.331855613624455,22.38221754419943,25.57915082826521,26.84605534767768,30.756218003647906,32.82033832316231,29.998164251321953,26.70088743073082,26.97800415625904,24.809583462245314,23.512478549319905,29.065237407610166,24.273374297085734,25.63012431400154,30.166538605118273,29.562581762260542,29.287853444011315,27.986186417736235,31.958303927670414,33.06869663248995,29.654147295120456,33.05923683135489,36.417693023810045,36.2435715233496,38.65069317173599,33.63315209902855,38.231600844679555,40.36428659629673,35.927055682955945,35.96678967604185,40.72277997905887,39.637486661563315,35.56587326647632,37.27110362292169,36.118215002133,36.452293819768215,33.79465560425334,30.88626680991769,27.65195611544501,25.96265457309849,22.76041596354638,22.32847677002628,20.765346011423773,23.348341538646377,25.76271358863584,27.727666921197404,28.24119113904694,34.148967389330274,32.60073676742282,36.427482752996426,35.09157929916556,35.249533707542035,34.465519669369286,33.3112735521123,32.684629198209095,32.54121079940039,28.462491542025695,28.097152548189072,28.9516562688541,31.42001937011787,29.75052857368769,34.28964165590915,31.521967250322557,34.47240873359082,32.06601506843035,31.4016899134926,27.145798210068666,28.490769326481132,24.68171264839142,27.72660782230516,26.418789410689314,30.23055767854047,28.944801784025564,29.75550432154674,28.77087699028739,28.59803215461427,29.93311504131918,26.801879008733163,30.426442176065088,29.00554395615598,26.498571337635408,26.36133351980534,22.614514242363054,19.694416916477888,17.170222299625465,14.207417286970331,13.030885899544726,9.955638986013378,12.503952101591945,10.67897404456767,15.43214422777806,15.896630284325026,12.774134754684765,11.62715870513807,7.003219939024839,8.189771154466913,10.718264221209875,11.755001053405511,16.744914862949948,17.487115892780547,20.920421642288336,23.81706763212194,23.915026682176123,28.261160140979833,26.755705076295033,27.69804629806314,22.693033474340073,18.58064673081675,17.7191759930686,13.509124496532804,9.866544597061042,11.772662617393102,10.349149246721968,14.864346253362307,15.177508579742147,14.39809465250909,18.046832021441546,18.377304721880883,15.725233537017079,17.65964181047095,19.249875595480525,19.063862222146252,22.80976213292928,23.94044356362888,28.942052485144476,30.60779643657232,29.405265610090783,28.43235270023758,24.789203961791145,25.58060512891814,23.628563985832585,23.49502244126934,20.26106139622878,21.368589207322614,17.78594362289489,22.38964882048964,21.991630831470122,18.759800166532084,22.083055650720123,22.73305504732809,21.73457133132941,17.79313079245882,19.439338183684452,17.18188505324804,21.30808866012654,23.349764978073555,24.927015652349162,27.511021265506052,25.90244955476478,31.353160631299435,29.15381323133182,30.74799031636824,27.705668298415976,26.34110764196714,29.449097279929102,30.88643967590503,27.399925074838507,28.855851615267845,26.998005232147705,30.85978810709441,27.435448400965345,29.827391008916052,30.64780187605754,28.274779283631574,28.50311956913834,27.383434219943076,29.04008062375735,30.63486474707649,26.90571475476638,29.733041537549333,28.860009869829558,28.187679473316603,32.334909775354866,31.534279508609124,27.41520248299019,29.216795934397332,32.908127198265525,29.633038690580097,26.42692684714317,31.36509636758619,34.004099733226944,28.897834587562112,30.23626672704102,33.95021718748344,31.886437975413298,29.210799119696663,33.293095437070455,32.03947665333332,37.21315168612164,35.487556974475304,35.33103246678038,39.04304877858838,42.57085265316113,46.85865042643669,47.414314264730315,47.013297090386644,44.88106084982234,46.590170237485474,43.277911782991524,46.407239123151356,46.027698740230875,39.78353369893161,40.98731834682394,43.84471808578456,40.28034522539732,37.29430745502644,39.329563016558254,39.995391847210215,36.26945031239877,33.20948702040638,32.30924941653954,33.5286752912023,37.29248522659028,38.068127615306544,39.69097242759048,43.147614296903335,39.47788090876919,36.104541811070646,39.43020731033283,40.315118558434826,35.20075327659335,35.34868691317341,38.33695940350253,36.630015982096815,34.210400169253624,39.08215081319782,40.03702024449018,36.37453405942812,37.88889731452926,41.67251326686714,40.01960106661592,41.83387029344274,39.618958445400146,42.785296644771186,42.64132004832352,36.84867652338717,38.86791222822767,40.976085252753315,38.26064458537558,35.263452908927825,40.83429159968666,40.38756607508197,34.92519490472495,35.65208955113383,40.60157866882647,39.45687625852228,35.4290916775485,31.47003119432334,34.833410969230115,31.829292375270057,34.172937629828944,29.002427418291763,28.75346577233758,25.551224850796615,24.417963842184264,24.342026495048962,26.189355793304152,25.37212542233002,27.524606236113804,22.807506439502987,24.484763862271752,20.140714680871934,22.805672362618626,26.316251195179728,29.69564932475153,28.460259435814894,24.151118577792893,27.110232194149063,29.368687575035512,24.477483974938604,24.002317009336917,29.185572623858082,31.398688575382764,32.80343489130611,33.890042329749264,34.63278560722838],[27.525290945872268,24.667811076078316,22.130779644200068,17.276541245717183,14.945445476128048,18.54135921180449,16.613710626309214,20.335783681622623,20.14329680922192,17.80147906870026,21.03418594795886,24.33048344302359,20.103261789588462,18.66379249498843,23.016182190861667,23.246053102556225,19.074074168823593,21.99440489362323,21.465601610010783,23.460457088594517,25.591115238327177,28.186901394155928,28.508140003849068,26.441870330500965,23.99848212895356,20.964761194659175,19.40812817023137,17.42860733063792,20.78065605164801,22.840964264389356,27.29557369533336,27.75881779800239,32.06253133595102,33.995710435977294,30.599293343245773,27.201388018254146,26.78649129484812,24.128662156492485,22.102259722512937,26.822697434654664,22.112390689352488,24.58125006521837,28.808114800819588,27.709030720792573,27.31607088800711,25.28170896929381,29.23038208508556,30.70100198456877,26.85928456422088,29.65565871042446,33.441996510947845,33.17864727105169,36.04565983575136,31.19455056668932,36.21913831012146,38.425361246508544,34.278930395100836,34.79690592337642,39.526191142706274,38.26489713995134,34.79838027288521,37.19664424409493,36.5388153917193,36.9885712389877,33.834280375100874,30.970541298665747,28.73916836274569,27.33940248579577,24.921363770494228,25.031758409322126,23.882663693531686,26.935382101817453,28.7807103863096,30.132750353853123,30.242936157093926,35.88842516162042,33.51112070116551,37.363772385545474,35.38930299475199,34.92198061576145,33.686516934733916,31.753528323828085,31.098492009762005,30.173863259331572,26.019204671069083,26.568564018598778,28.012887124977375,30.893846418377528,29.915266878026223,34.963758811748896,32.82471704416991,36.3307277098522,34.18729618419476,33.47708243864761,29.326061236490236,31.264597101751587,27.57393015975517,29.59719482298629,28.025972361065428,31.469820574683244,29.505841885210685,29.48738182143991,28.090500876256005,27.182538561548306,27.383848432029765,24.274018181224857,27.438767268988702,25.404421615424297,23.1824471592154,23.82006974808369,20.44574392202863,17.602747699742363,16.40034329086754,12.911429027369266,13.447624458178979,10.144076532650985,13.146556363661935,10.97613819770904,16.76427077582615,17.665161569409864,15.374116726433837,14.31095681445343,9.708534547277814,9.843836135319844,11.649429918005076,9.897231953569303,15.207702912980672,14.639320617359154,17.523111688315815,20.212731609149166,19.507339655262523,23.803384342283145,21.926214842977625,23.548696101679948,18.092229063848034,14.47488531866027,12.942777042603211,8.78768199747508,5.242283416695888,8.354877774718078,7.704577977139987,12.493100878384167,13.739300197072106,12.47089221353651,16.13377648864012,17.41358324655766,14.69168954797164,17.06718733883106,18.185921354593187,18.950234764707524,22.199853285476138,24.479215796650934,29.043194609943058,31.62710662247816,30.693245867945308,29.05026107562011,25.370033643018868,25.18339719128142,23.40055958112551,21.897877416887628,17.899461919138883,19.701871213075176,15.036405092764735,19.709213318059003,18.070181893716644,14.32489127448818,17.037387000690494,17.384509140050316,16.09135074792524,12.284523071047081,14.218884085376711,12.683787751883663,17.38555458884119,20.049914119326704,22.364516015407435,25.33031415597792,24.682713148053686,29.696992745899262,26.91329238114551,28.06605014537332,24.32479434818819,23.10618622254393,25.402020161518728,26.472480801045847,23.03913972037636,24.990665097388366,23.824266315259635,27.18507617014825,23.564718693560057,25.399131787596072,25.74210163002621,23.50624865233254,23.270324301038208,22.088977031654498,23.76697848492325,25.32785356324674,21.812502317138332,24.95013506465352,24.420750175482784,24.320881414048273,28.57699179630653,28.41025389868184,24.350349510965653,25.874967791751544,29.911322806090908,27.286018917157524,23.842352526278116,28.72542687805216,31.940804311048648,27.355264931928367,28.51661249151056,32.37516064449516,30.96067398114986,28.42606964481529,32.1476464687649,30.35784846649107,35.52565458109105,32.893882057948325,32.64575293687806,36.51405027547891,39.482328172271494,44.03586685408207,44.13085922365094,43.73716106189688,41.32463429830811,42.875048258947594,39.57685036106085,42.29602008101745,41.91523827422205,35.801053255358276,36.760561194549865,39.269780072833036,35.799414742818676,32.77545856086241,34.52222056860681,35.05887487328488,31.49390949106343,28.196316541959074,27.878845925357062,29.249039931541873,33.07238169069948,34.39721216707613,36.182807662377776,40.0421754437502,36.5207147846205,33.02046058810927,36.59751456692149,37.95470523597232,32.956045489810634,33.011444474869094,36.52825577287718,35.25073733642778,32.65019671774936,37.287988283170336,38.76082215552855,35.53022270498132,36.478213256124825,40.04643987642443,37.978633906520855,39.422313876178556,36.92781700051797,39.689652003703394,39.830224171533004,34.06842018888369,35.51143842904995,37.57331874434951,35.067427482771805,31.620929818402953,36.88389543838388,36.652118184591004,31.246465681511225,31.402767536591934,36.31179008137973,35.433931556637255,31.497205600064515,27.95084256885758,31.194269874325663,28.684605313635394,31.406922582687976,26.589359865738917,26.21379562016504,23.793425990761623,22.48570273215952,21.616974783030734,22.881906112604536,21.556621751892102,23.82707962931278,19.364699989682133,20.71126557558459,17.007718787873255,20.60469493326059,24.205305796301257,27.786223332506562,27.269049724716098,22.8729055593628,25.920993729644273,28.771152575109433,24.335435364182644,23.860837532532987,28.862595386922518,31.61672583238978,32.995605781131225,33.91938122379677,34.74241163880184],[31.164247564949914,28.271526906865574,25.766576471705733,20.92975364316631,18.770303559643956,22.79680555274838,20.98023077559179,24.66477732844616,24.424312597210456,21.846394089741953,24.89387658431879,28.303084188931003,23.80995205733159,22.19724835852028,26.26169217250562,26.469387099995423,21.98866989063934,24.26404722052952,22.793622907821856,24.818638713404553,26.28783000158459,28.592811916069305,28.444800310533395,25.887636785695097,23.959477913866355,21.363948232951135,20.452977668481076,19.28726458395617,23.13761144643133,25.754672805707393,30.005334167870803,30.900310084333857,35.16110677927371,36.6616539444357,33.21751571697166,29.512127483734247,29.44193626292165,26.00624427342329,23.663256621692856,27.942697564353633,22.70572484910702,25.302911318278085,29.350859731804487,27.70845865446727,26.67775478106287,24.442781109750857,28.097676668179954,30.168301694100222,26.82818032482305,29.0896242232846,33.27441377228642,33.43813442529739,36.38675585945539,31.82533707978325,37.219912202044085,38.923800063919295,34.67156596187421,35.7940110742433,40.324157533788004,38.47295943750548,35.26492672403797,37.991420867289904,37.7172178679338,37.62619319366529,34.321318650751806,31.95410880676026,29.680578030379447,28.92649629234657,26.32597277263931,27.075921791541997,25.624967604483174,28.47000292990216,30.580551759528642,31.439174276292803,32.09008257449971,37.48002656724112,35.06160245455091,39.178986884303974,37.13663448442261,36.391870018578345,35.540539131329886,33.330537840818245,33.282620271067096,31.977251062550984,27.646575224843005,28.612966357790302,29.68334033353846,33.118893799212195,31.790569519173363,37.18606335002013,35.00614898275901,38.41557891848175,36.609718430784994,36.27824354317497,32.358411325559395,34.37421589012894,30.874274839658803,33.05433307002782,31.758338616466602,35.43358278687797,33.103705002228054,33.28439800999552,31.446049556558616,30.719714939316106,30.36531522706541,27.6040619075813,30.61015125926234,28.283717337132504,26.378971256873353,27.37389565742811,24.260198633615268,21.359163194355062,20.550754834979223,16.823373172580425,17.161767676245052,13.52563409981709,15.690140898085835,12.581299432117175,17.7149901726835,19.692897700520273,17.556721247422924,17.26319324208245,12.76687387607413,13.730635786217595,15.941511976426101,13.997349419370131,19.33562980671808,18.304075590574286,20.806444835131483,23.124549310019177,21.93619475617653,26.0181836812809,23.605575755774193,25.73536106981436,20.04314686938113,17.085655154926425,15.286448847604508,11.295144361871161,7.991628052177218,10.644006457639554,7.917285488658537,11.847169571187221,14.342364368814552,14.008501191738622,17.50262839504957,19.697430319855613,17.44175680683343,20.39921481491601,21.80851800994714,22.98958380815515,26.284965399198537,28.717323831484567,33.22158631330207,35.91218671153052,34.88098807304406,33.11731825326162,29.336225085901205,29.098477877926342,27.0274462822442,25.418484156357625,20.911070456990203,22.261812274525994,17.029666991900516,21.33966037745474,18.946283694502362,14.532848815568556,17.33450455641615,16.6449631486409,15.891012564975151,12.61492007839267,15.271303005427203,14.344321487977075,19.103147279352523,22.16543090343465,24.749349179097734,28.08814665653728,27.633250649639667,32.43199306045495,29.15779066731807,30.36761922219167,26.10267768375399,25.67509296237969,27.183948691337655,27.707475486960373,24.216721824184795,25.729835122187517,24.60126471134764,27.330977447661372,22.91880179612988,25.050869859272026,25.16472125889392,23.65595992791753,23.4706409005028,22.724841135905695,24.68609632771112,26.336158932144574,23.293825512189823,26.809429367634078,26.583565526307382,27.087677361925806,31.273191914266604,31.590624428661766,27.605821259716233,28.722724384453624,32.95661997911753,30.705187323069083,26.8828885929417,31.6746469515189,35.313971960674436,30.794461457961784,31.644437637497674,35.590174001254894,34.50235149033861,31.725595509784572,35.14531483971519,33.12473031802605,38.40823964542786,35.068910524604256,35.159011241426654,39.16369317964485,41.87045300789251,46.45989926300303,46.428041138468814,46.3033577658124,43.82718020437546,45.370830855557145,42.214129809637825,44.57074897856718,44.04761444898949,38.122581257652726,38.983363808193864,41.02638982257331,37.54725594184241,34.652715904888574,36.144789401767305,36.25101737348155,32.810914149740384,29.573996230161562,29.89243668688052,31.582747672095934,35.41578401037432,37.156761590579464,39.08797502436499,43.164545616727096,39.777338609252695,36.23150346360479,39.867855101324764,41.49241335516285,36.58771025388836,36.509148947194895,40.219341399963085,39.10276196516085,36.35527549415169,40.844235235359996,42.50062066326202,39.33190913419326,39.986478713938844,43.478895776476314,41.22278484982529,42.62287638889615,40.11593970463065,42.59903573122302,42.711603289086064,37.00605961626361,38.22421659683116,40.03372138554747,37.557454695741136,33.98741260374771,38.930133144618985,38.52995059412332,33.20236580106278,33.1258447837324,37.77965128161532,36.78310405330652,32.89950975745548,29.586703809597246,32.246637378070936,29.85576137097393,33.080576277530064,28.55542107037855,28.65594655291828,26.723640997031765,24.82646297870524,23.791273937533223,24.46645316427489,23.263164036927094,26.0435739581623,22.159663663612033,23.529775066218207,20.407683447450314,24.229105406866296,27.96545613121565,31.5551266633715,31.30015676753811,26.90092570172698,29.80699451443108,32.85204438151497,28.577284230399037,27.895305913247885,32.80341070094378,35.58810609210857,36.86226078243984,37.61609555267992,38.27882206510712],[35.315008469228324,32.4836360849543,29.959197116651502,25.121655288236877,22.764528094136658,26.40950277210202,24.155905016519846,27.470240770622677,26.96005917005078,23.78181461147892,26.450712867042824,29.924164665053883,25.013521688758118,23.282027069863137,26.767844871185773,26.89004809996701,22.13256997262976,23.570169336522195,21.167421236614306,23.202209850882937,23.999441476564634,26.0993065591629,25.51776827314022,22.66078866893989,21.23091972868422,18.977363189691324,18.783492452920292,18.421850126222107,22.635646536736488,25.864707778812097,29.682884767995063,31.170315432346214,35.28068982419048,36.21176383943856,32.812992079812794,28.809185954070383,29.28477756796902,25.095472415647535,22.646817181286444,26.71016691896442,20.99191792108587,23.30546194606396,27.205777546853504,25.248635664744622,23.742725136369454,21.675913507557087,25.094516992577574,27.441911395343915,24.74867110899845,26.870610101099928,31.10795392154804,31.713831993192642,34.472985500006025,30.144348554041336,35.68136218669454,36.8528160526443,32.41950095837443,33.954916238940676,38.27385395191532,35.94960182612513,32.829863055073666,35.69698792818147,35.7088781746801,35.11970086279744,31.77037600669151,29.874690745451545,27.51611096083241,27.389053659355646,24.703218395765205,26.13068403405133,24.489696301379368,27.17097752437335,29.343126020221064,29.625482072445553,30.757211177977013,35.813893810116575,33.40332415172106,37.74451277230942,35.72986110091492,34.81869173574082,34.50374160138263,32.25510648300132,32.9278812364968,31.530074271541597,27.070512159439406,28.11658896313773,28.55385982219508,32.466461010741035,30.60827110312788,36.25227028981858,33.99483735589821,37.24344491108931,35.847468337197036,35.97340281533627,32.41373503823473,34.55004978617014,31.39927230592514,33.69708144671067,32.87048766532684,36.979108288416555,34.089697766305086,34.85243107790549,32.39198777192257,32.31710393831183,31.701769535686754,29.58244022871893,32.82421557448282,30.595003965161684,29.20655642921475,30.027351621200232,27.240498098359904,23.780877996175903,23.102576297628772,18.997975355168148,18.631563094525745,14.7250184502523,15.72911972837847,11.924894844702076,15.983625281438032,18.934548722188683,17.173491214451555,17.783549583729737,13.832576620272688,15.664388918216176,18.57262208994901,16.902598485946537,22.601055181023664,21.21386752650916,23.70481675000107,25.3229007738548,24.553916301626252,28.296194519399975,25.35896532289276,27.286509308557008,21.75083806412883,19.10928290326664,18.190699838041507,13.761243269881419,10.473616545790847,11.719736559074168,7.151532377324358,9.519646162749556,12.720274626892051,13.498102437015756,16.630993169849535,19.467759926922554,17.857857890704395,21.380842575159996,23.373748614777835,25.032928689584775,28.66995942931741,31.119427876386855,35.591062840956226,38.482778512862495,36.97920775399067,35.003273906343026,31.021462639093077,30.968853247081448,28.296596229114673,27.066008016140614,22.136842091439696,22.532319151021973,17.197011370315153,20.966508001648137,18.572874602875064,14.070090712381418,17.540451528854003,16.450965261376645,16.833202093256688,13.82377482411754,16.64299759275633,15.43844809260872,19.67715465178074,22.74552038946984,25.19634156090934,28.82534827669215,28.195674123433,32.852478186264726,29.219323286047675,30.752493339462042,26.296272572701202,26.85912265338258,27.963720840025204,28.137192116424657,24.521884379145977,25.087109779008976,23.52599892038971,25.935324499119435,21.01679103178302,23.838855873245187,24.26567381278954,23.258838292771223,23.77111051157695,23.693576658999884,26.080052757832892,28.196785976787925,25.71504406582652,29.45606686928973,29.764354065319036,30.260208660705942,34.654403668225626,35.00019978239909,31.11973197326678,32.49779798929413,36.72593537493797,34.570160906252184,31.005680960250544,35.761484783707495,39.321855597587586,34.97048406514496,35.930664216074305,39.85078287892823,38.7105265297239,36.05449929813254,39.52739260397413,37.49846531046523,42.745483520418546,39.328929517086415,39.35457749313998,43.34892202897343,45.883358684361255,50.539302301530626,50.331634335292186,50.08113298941728,47.444410175485345,48.78360538154929,45.4776701137855,47.651007901384496,47.34456824969248,41.51027798188212,42.04074960438523,43.99585467135974,40.767487243144956,37.75292412473342,38.84572670613044,39.13278507599472,35.95999805346958,32.30138978865667,33.1516503183222,34.41079909673484,38.27215873141589,40.33389160792356,42.02618510346586,46.293600174988164,42.701143645699446,39.28124715681036,43.258729709596814,44.781717420693894,39.8876817313844,40.12745903155724,43.87356043201458,42.76926806258895,40.21811615010213,44.73505335349722,46.39694443756988,43.32543204370274,44.09236218913948,47.553632520711155,45.293229586521484,46.52820847217901,43.852927266128766,46.272528675714625,46.63512960325533,40.96566498071096,41.9241759703183,43.85687180140573,41.523331259737645,37.76424980698125,42.54592396593361,42.35604717899157,37.10557282143336,36.68994081003498,41.29909575065354,40.49848321977579,36.70695074731915,33.61757320119661,36.130515997238774,33.91747973138118,37.28934186414552,32.88062876691823,32.95296902844926,31.085368675436573,29.235854866822645,28.110953070480384,28.62776096909994,27.281933402050313,29.992089475931156,26.09725499464641,27.046833425746556,24.00674894375769,28.065050158889925,31.38995831899111,35.0874710494246,34.57718439819549,30.436291173482548,33.65472898352624,36.52891897591781,32.041563103144924,31.801755745338536,36.77189406907595,39.47549561015018,40.77619177117362,41.57535850011905,42.25589897268128],[37.01820971561586,34.24656724563062,31.795502841258955,26.9239212147921,24.632415966340837,28.13840072100096,25.81449648438479,29.02447402115033,28.378051141332975,25.05457454353215,27.559972219061812,31.072796705038304,26.112842096631745,24.272194370463325,27.554356601204724,27.712538458389826,22.930914872315984,24.049558544364526,21.308971166291034,23.40468700738195,23.883446790054816,25.92278840454692,25.109209500903663,22.140687961665687,21.03056356682736,18.93831326890084,19.102117120793668,19.01915015152572,23.27129703661145,26.67886830039849,30.224701341079708,31.96599293698495,35.97839362667656,36.705632230025536,33.38474622871565,29.30555932412598,30.014190798962844,25.62568084969599,23.21066080555128,27.157239095830757,21.3354229749562,23.438842214817164,27.23938516280928,25.19780128058297,23.469048054347724,21.52139688658149,24.75132625063218,27.232855118369738,24.89830311941679,26.904353183069052,31.13743289133997,31.91993599769193,34.57463627593469,30.38102649658762,35.921801762516566,36.85331992581325,32.37338004944518,34.06078718159907,38.24843758772777,35.726974034990064,32.64445654398768,35.519730669819346,35.640120281649274,34.79747332959496,31.483747215923326,29.8229850327701,27.361462026812916,27.496731298210314,24.72775376364962,26.36983573884894,24.614898009678207,27.14234262422152,29.405751690532238,29.49096295226952,30.873094421144703,35.773665244384105,33.458495149657345,37.86566729931698,35.920186637657245,34.984299466974896,34.90928242679466,32.697548274867685,33.62925830305671,32.22297079023514,27.765582306302125,28.800656631538093,28.972412402752134,33.01875917475156,30.931813575885194,36.59876328394667,34.28227737290304,37.3958947464373,36.146043930587915,36.45059841776124,33.0354821147861,35.15153974902207,32.13039230807283,34.53665826011218,33.88150466671669,38.12817510654824,35.119770717294415,36.09282389454747,33.483787269105896,33.62574559721406,32.965725543237276,31.034848544327932,34.324810648382666,32.126165647241514,30.861146459248843,31.634431942016082,28.93126313506214,25.370148131858688,24.685716821764995,20.539293378590997,19.915150516208616,16.055660642871068,16.6548025105315,12.771548845248121,16.162006001868267,19.419290702867837,17.758695329197245,18.67232003208865,15.007307900210916,17.084049557418375,20.12751662633742,18.645440855732353,24.362908180216525,22.938984987426995,25.41910011512556,26.86631247265632,26.185681496349154,29.82676389169477,26.75742147466584,28.642774089432084,23.184707456918446,20.666690292592776,19.92252826785806,15.49004015640031,12.342572440881264,13.264850086059546,8.593267284634376,10.106389462184602,13.301952395626497,14.458409376609273,17.376887827274075,20.330794694253118,18.96370273015983,22.564395272058444,24.721814081586313,26.44820653830364,30.169281388954065,32.55729645783176,37.0259073292332,39.88931351126861,38.27781827523953,36.28913257660488,32.27397830625091,32.319142609554,29.484742989532606,28.4211637117872,23.444404841156732,23.532718275812567,18.290421819115714,21.820142524597053,19.477864742852717,15.044562687419452,18.59578290535279,17.333269549996192,18.021980924378802,15.197575504769555,18.031872469005854,16.830915422025633,20.849047773363914,23.877171997497804,26.246773440158822,29.923396368896054,29.214867693835455,33.80429678152679,30.100430736029697,31.728179114859866,27.263538919485534,28.121516463004898,29.092395266391584,29.145370440526786,25.530803246091292,25.78140846421142,24.094705725028504,26.334439831787506,21.26536265560768,24.306080382749077,24.803064015943402,24.028475787704366,24.721265619295295,24.848117346335265,27.33604376905089,29.55492511635344,27.238264726730836,31.022883144585137,31.455777020366213,31.981827400240586,36.38198252498716,36.74723678418937,32.907524448812445,34.30594359124935,38.5201427380449,36.392049254644114,32.86873160267171,37.59150342563759,41.1352198752163,36.80572211030923,37.76220267223775,41.66606292272373,40.51342137970649,37.86901809201524,41.31321156803127,39.29844907619888,44.54453398733995,41.08889260596078,41.14605046209387,45.132516978606674,47.62774393498734,52.27966874243687,52.066235371762076,51.818971045488865,49.15336562195485,50.458400599096606,47.13838313914989,49.25505557462141,48.97631209946104,43.19241955685388,43.65463937016063,45.55085888552693,42.381863921971195,39.37361215176603,40.3617826064308,40.63814860760036,37.547557253389044,33.83764332316597,34.830245744236116,36.01627626615329,39.86613646546372,42.002160427557165,43.643690696265494,47.941400477315035,44.31899580174809,40.935775252535244,44.96748691308777,46.46683229794471,41.589452207567696,41.88910952289481,45.62181620411783,44.513101926937395,42.005457110094135,46.51619420842685,48.16141130706493,45.096840709585514,45.889297508020704,49.34237238136948,47.09130090489814,48.30827599582474,45.61890077266151,48.01413177388797,48.407233402241246,42.76129975691666,43.67446988298538,45.599537467335125,43.292375358378806,39.5210149796265,44.23528634894453,44.06141448761499,38.84840122877027,38.37554220266062,42.93238481311975,42.14967822718043,38.388772998862834,35.35515905148764,37.76037255294822,35.581648014344196,39.002258112890885,34.64785746578828,34.77378988104649,32.93430682323138,31.05862437412873,29.95358107967443,30.40902453224424,29.08619821958467,31.81058255376241,27.959532305984112,28.844412786496637,25.846556270951385,29.926623376659663,33.15863773506972,36.852692532181216,36.28163372490201,32.20883291520896,35.46138807336081,38.26649012365016,33.741766668736034,33.5750386426172,38.53867281754361,41.27062368891843,42.53243986335772,43.321085581953675,44.048249272460374],[39.15223689366295,36.36033217871227,33.85338222346486,29.081883927822982,26.69996543378087,30.253091955174824,27.896423200779275,31.000916952429897,30.382447590637863,26.975949780506156,29.37499011683008,32.83636274082667,27.79394096450347,26.011196075052883,29.06066536692492,29.14051367012014,24.343895691125113,25.133344730994608,22.070530463270885,24.023235426663067,24.169628732034578,25.951854718896072,24.945552994993694,21.81284977256379,21.00702245855674,19.288135966901166,19.74717842389965,20.08206068421849,24.370315511580014,27.92340315192108,31.354056338981557,33.22192765242833,37.16450974520431,37.66194807609021,34.34139257892262,30.198006624328375,31.034538842282302,26.377184825974695,23.88336714177105,27.47433633850776,21.614880424946527,23.69299687474903,27.26049717750847,24.990922445341997,22.993293825340157,21.02842773594259,23.98901892719216,26.698927542294097,24.69995278903998,26.391580361753043,30.70017840637646,31.70244257978428,34.32283152571334,30.363575047569448,35.97057624732631,36.63592511309147,32.181417067009555,34.14157853272663,38.165515504208635,35.40391622658316,32.52054388032818,35.52784076033462,35.84632122281006,34.78311885217594,31.432349263173812,30.044016298593778,27.69375624849557,28.1486341506651,25.457021471399344,27.37139472567237,25.589293460020627,28.011641540945124,30.255605375490557,30.06073950439466,31.609571417982277,36.299573202098685,33.91651672831131,38.376035973390984,36.39188287493321,35.30933292134342,35.41453822274076,33.09454665553016,34.32109350137496,32.76340431824488,28.334735154217967,29.53193123333116,29.514872980913598,33.74862623306118,31.557425754741317,37.30791647205566,35.05044372449513,38.11353911963285,37.066606867597116,37.54198933097204,34.29816444529868,36.474135633655244,33.601481906067214,35.96284391548699,35.442657793718425,39.75402037235907,36.542842002270994,37.603265463633456,34.783838949097714,35.04362472817723,34.147398268599964,32.45611000645985,35.68173927976356,33.43513565919617,32.38696270344088,33.23505702956261,30.699085278844127,27.083823313864258,26.580389402912576,22.39990593652933,21.74074206273931,17.94863694332285,18.202775183296875,14.299258167131876,17.0805813984296,20.62424541974576,19.19308274614822,20.376566041728047,16.990631391076878,19.1590744340163,22.232965797574458,20.683836589485143,26.340463351566676,24.735963390269657,27.06811333647339,28.256769527425586,27.53508262441839,30.978032260598596,27.70882917791623,29.667984876311014,24.30010437280983,22.109077214241093,21.48832769299501,17.23030829120048,14.393066184407616,14.989330497551114,10.30723745775172,10.815089867958536,14.224026505087883,15.70905370412156,18.29050370056929,21.491461749654857,20.40460403800099,24.100377834032606,26.332023581885284,28.239252782560186,31.947526068332902,34.40906953107133,38.78553406581644,41.770944943301785,40.05798870330894,37.97334740907364,33.94353656408082,33.951165503989984,30.995171557549018,29.916592134842205,24.829029313325396,24.678780202139194,19.44143745398828,22.607931501330633,20.086090499120047,15.684837546281207,19.126616538885386,17.488505917142685,18.57983997153345,16.16780302090175,19.052914349239725,18.057249547007338,21.80202196430331,24.85813402582455,27.246316252331983,31.0072927091514,30.38798095393696,34.79438768119291,30.91817326434464,32.56322659258173,27.97744892025374,29.22275900595996,29.84283546864064,29.650361944728715,26.090799349512142,26.035731602945088,24.367270752599552,26.235599339285276,20.942222278009254,24.093439376475917,24.5472135830265,24.150137152203364,24.974641121404346,25.375490696181267,27.978722638528748,30.294721008219447,28.27750435367151,32.14598768425063,32.78808470041118,33.455018213236386,37.84480919031519,38.34533698963338,34.58983132381479,35.94442995736789,40.173559997504256,38.19814876757444,34.6951400071193,39.34060289425962,42.95055332374279,38.742565888310814,39.65668401523039,43.550109910358735,42.492932057237034,39.87260479564783,43.23480688157453,41.153692017635564,46.370779039653016,42.73529508617492,42.8192312621888,46.81009541512141,49.1550087374803,53.84153932578205,53.50364604282508,53.269404842479744,50.54540860287991,51.776965388462614,48.467656856022714,50.42309553854282,50.16998738785236,44.50084413913284,44.83719100668899,46.57412754491429,43.50543300312139,40.517512043188745,41.318369360363214,41.546475833075775,38.600684671488814,34.82377394947629,36.1035210010426,37.2391591591579,41.057357251628595,43.37333555330941,44.981937454351595,49.367408587216325,45.76029053348631,42.41844089450833,46.531553493813654,48.08227462637624,43.2680904559643,43.608917462927565,47.400344226670256,46.36146082423916,43.8748187655748,48.32427706892757,50.034648290073655,47.048158607358914,47.773300572684825,51.172608837873724,48.86700917504513,49.9994662792285,47.259142778521294,49.54160936429991,50.015249860869474,44.42482073199924,45.180832159743225,47.07582072480808,44.84552775335288,40.998752855849894,45.54770238948693,45.421539053710454,40.2958932617599,39.65254965462401,44.09720327137018,43.38190881523374,39.70145283033386,36.8325582168528,39.06497640199808,37.03088068582676,40.56431647266425,36.360232931964994,36.53251717775799,34.85739297278932,32.927767184202374,31.728790634408448,32.006239326714294,30.641360424657616,33.394907406158524,29.705333436228603,30.463064673338152,27.666565747354174,31.835694325236435,34.96591059648769,38.66445032001116,38.155062078117226,34.1467244839334,37.423863636440224,40.24569226883522,35.76147800012259,35.659862879028864,40.56803978310105,43.338621432463334,44.59888279932623,45.38554835104345,46.10586851435753],[40.122403515371126,37.328532319127724,34.826550398217286,30.1353145001625,27.776492845361766,31.308738754286416,28.98104787537356,32.03695885357977,31.40836483851773,28.010712788700975,30.344796935802744,33.77282493007608,28.757881665467046,26.983684665320563,29.939615636490934,30.012409649275426,25.264124136964067,25.949257796640023,22.832821799782433,24.741814991294213,24.789544443392483,26.495413481355797,25.44794683738186,22.32200313483393,21.62186877293023,20.012978883364863,20.569455404833228,21.003104215018013,25.222496708489373,28.78192889235458,32.129558205555746,34.038003657196654,37.93415465563261,38.36646875031032,35.07299081606625,30.934988388961326,31.817710092575357,27.131905975523726,24.65445375349586,28.110729773975546,22.345979366292575,24.35130561010518,27.801420316103368,25.487882866393374,23.452540258419305,21.538554957167598,24.346573322082087,27.077717200220185,25.203276994113807,26.75997099814993,31.03433088999868,32.13322312408003,34.71484963639683,30.869720148660264,36.4416984505735,37.02429129678371,32.60209523548912,34.63191628575694,38.5824886152545,35.77407648441078,32.96747269739417,35.9834465844706,36.34731338169866,35.218802417882365,31.899936420998394,30.59743673940934,28.279969007006635,28.812580490795533,26.151081940209053,28.115023344117994,26.330412070338692,28.694324452082625,30.928256618247786,30.66779994436158,32.25979732637357,36.87828083278965,34.493527637428926,38.946655135725855,36.97091966358632,35.86113566878217,36.025454320610976,33.69224005714779,35.00294221377168,33.40464131287528,29.039035152629236,30.264567787775356,30.181653887452537,34.43451067968439,32.210272038915036,37.94759343762956,35.70637885724752,38.73621020096833,37.74616136881824,38.26841333330618,35.08565544133733,37.25562254101989,34.43364222300893,36.79293036256357,36.31894438395358,40.62721419865923,37.39089304053991,38.476940742177966,35.62549838859448,35.91908703103391,34.968790372833446,33.354174241525975,36.5261118274955,34.270011715790446,33.29191371862848,34.163643854329365,31.695369752281305,28.110948654620955,27.6512909118932,23.5378280261839,22.860823663894497,19.176900528565117,19.301236167706943,15.509932700653975,17.973435777071273,21.527717260046096,20.173188850766955,21.424145576677027,18.229504548881142,20.381773554074883,23.410825857791792,21.926990283478393,27.429532801450087,25.814558411403144,28.07527610809338,29.18477613569281,28.440209912664596,31.78218288764867,28.493864499776006,30.474543797556812,25.199133378003754,23.145440424842928,22.534811074147903,18.492695411569485,15.889012602089407,16.34012031795143,11.90533999979392,12.100697473116591,15.338145425755913,16.86749440612691,19.284953081344693,22.440226353890182,21.456714741638418,25.104238996263465,27.334294258785306,29.259014356201362,32.93507185008593,35.38817140941794,39.718026677922545,42.724602577928714,40.970596105073845,38.883613404435,34.87305606301105,34.882376103623066,31.9144078577318,30.857905097812477,25.808614654594813,25.586641378999367,20.4600366772761,23.45800199636563,20.945836762966007,16.650929571951163,19.94536343706873,18.184743156795268,19.36974811465414,17.18859365444261,20.012858352866996,19.132196355121867,22.71486569534178,25.73123903808137,28.09268030611255,31.832699015800518,31.235456713116672,35.55846890519463,31.670573365963467,33.307940089015894,28.735939447995374,30.067639056857924,30.571569196869387,30.30088912491329,26.806778133482748,26.666909281053677,25.030571291548267,26.744853333896643,21.469430157352743,24.575395135750828,24.974043852923067,24.726168500459842,25.553431208333524,26.04119132270088,28.638926646229226,30.950975679694512,29.039826237822474,32.89432636261992,33.58275456574611,34.31146195281728,38.64411076032773,39.203286954116955,35.5005313202914,36.798152921271786,41.00568958013629,39.09974389678599,35.604625225767954,40.18147886247161,43.80582794756485,39.65777314254613,40.52820918855288,44.394713990706066,43.38966207426658,40.78945321631833,44.07131179384809,41.972276472780294,47.15598510312692,43.44921129094532,43.57147940980086,47.54697868064181,49.82214366064433,54.5266227509861,54.131983981081355,53.92310104518118,51.20629122730368,52.43034080317191,49.154942053353984,51.04276040195131,50.77717184667545,45.18061528114298,45.48814768807197,47.145767690780545,44.11086316785317,41.16503276685904,41.90314307555885,42.07712179878225,39.194786503633004,35.47193416927923,36.83520302715021,37.990017700784556,41.760714714242,44.117711486746536,45.72286782276666,50.111082312364545,46.54330632106616,43.231566115855095,47.32744380462782,48.89584157634492,44.13181082467395,44.46222407994055,48.250506407651905,47.23899643077975,44.75982356677555,49.1611107859152,50.88523683234165,47.93181287175938,48.61753417051959,51.98454621143821,49.667290296987545,50.776518227248026,48.044979990794964,50.271403452837134,50.747010717200595,45.209585095298436,45.916126108747854,47.765601016586004,45.565571185421156,41.73020751183453,46.18250012498993,46.045751099873705,40.98787696458658,40.302069968947556,44.662824067923886,43.94388688002084,40.3139270945321,37.523328646499145,39.63817241623678,37.66821034898524,41.229505324618586,37.12742281146866,37.35055538237505,35.76628362533909,33.8069225657013,32.586199298095394,32.77782145271802,31.443421467566356,34.21147285531633,30.640804824146368,31.389045944557417,28.676623429515928,32.83934231433064,35.920851604426154,39.581000972592506,39.102690629476925,35.144407711627856,38.37941878823696,41.19417836594985,36.76080447556373,36.64574279860854,41.495007027792155,44.33126842626707,45.63550373487442,46.434992843319904,47.18611031628791]],"stdvs":[[1.0730426623504994,1.1615512740769172,1.3682628544375808,1.0047556952477967,1.0939875575432723,0.7752796565860537,0.7586853313850276,0.9030701600695041,0.9437439684821101,1.1063581550249322,1.2040264012793989,1.2409122998596567,1.3905439575845975,1.3518933768887542,1.5541719940060348,1.5999758610868415,1.6711953308795229,1.8074302802242628,1.9245849740950027,1.9146114368391673,1.982130920013831,1.9737884830554422,1.9855810498815225,1.9340528037191427,1.9329357457951886,1.9829286695050412,1.8909462333604057,1.8707463204044177,1.8235451248006347,1.736426832217954,1.7555064998353176,1.6416730630060408,1.6566634779579363,1.7891370394774722,1.7862374081967534,1.8487113409388183,1.81245612911379,2.0484170262826287,2.018974699654886,1.9226636200379255,1.8529962345587183,1.9600311976805838,1.9665284134267071,2.1328952878785024,1.8589268195207593,1.9064034124388392,1.89367101787452,1.9331205257404864,2.2016007926380725,1.8953430026843716,2.070465929411016,2.265672512587151,2.034140557088758,2.0171300723949668,1.999822483472488,2.1088180382989337,2.2159746706531673,2.0659172884589334,2.112382220500274,2.6939221020384845,2.1263811606172025,2.0464631575812806,2.0265176684022337,1.960720337983292,1.974105008409769,1.977396051962934,1.9964182621095234,1.894720963442613,1.8815372743818828,1.8004325349620705,1.854059551590803,1.8673615666525614,1.8328016113891785,2.047142133882098,1.896459173786388,2.0769853908423928,1.949842658706758,1.9106508682457874,1.9638207653759352,2.0576312792927376,1.9389997746197358,1.9179117689434266,1.9042341331731256,1.8948432113787426,1.866459263318985,1.868312463385503,1.9234162112609678,1.8529678277696056,1.9267218530365475,1.881128593895237,1.9211686017111822,2.048926558526786,1.9340644111597032,1.7312660071537485,1.6375861864289085,1.5799480904555874,1.550919361404924,1.4998371924539904,1.3800614652779404,1.2183595853439324,1.4683351539838743,1.3298231662131055,1.520395582584824,1.3106585023503452,1.40408866165311,1.2099986202069957,1.2235410749373805,1.226809282473018,1.2278773012196198,1.1186664063014125,0.992016921584239,1.0123513422488857,0.9927953250566453,1.0737933042564092,1.1628285575662913,1.3035569907196731,1.6043925321623134,1.7523995843089053,1.884766790040453,1.722277973658288,1.6066137422867515,1.467517213140989,1.3853750744654114,1.1751897921118037,0.8516049420433317,0.8569906938962456,0.9511327599834,0.9829744839922631,1.1627714028473313,1.164194965429917,1.4739982994425596,1.3540653658935082,1.2777729728339575,1.223084682891591,1.213014333474689,1.1098635739263019,1.6175419881723458,1.0671321163442777,0.7548055196238338,1.4714393682307614,1.9592437318955707,2.1881784501524146,2.008969152409743,1.9144840271513877,1.927190353924732,1.949138950906238,1.9081151866200463,1.5684167055710592,1.362073871076049,1.231538306960245,1.0652164987512758,1.0313299572636698,1.1205986418408926,1.123134422922858,1.2206733044985598,1.1557178374488473,1.2398551025320868,1.218587127839332,1.3987147716629058,1.294331703001161,1.4919749121954302,1.7515124809508265,1.881112878318443,1.9453322408186526,1.6157568474303456,1.9516735092208237,1.1787534869083436,1.133590217637254,0.9409028788885125,0.9138345959168171,1.113031794055507,1.3965332422905852,1.5472865774442164,1.5343517507680648,1.6129431320055607,1.5382805188953919,1.6533227412779656,1.618222073566048,1.6675999019054415,1.4772495941274355,1.4666355331400083,1.349693547669052,1.3007191599210732,1.2539689116182424,1.3257671280251513,1.5740601683760111,1.86129020018464,1.615946221832989,1.6305537737701759,1.7731465474997306,1.6557725766693794,1.3691575117782067,1.279822118034256,1.20547559506002,1.2885863815667866,1.6076488589172364,2.0251139872688024,2.019183955684035,1.9997453899451094,1.842159317473959,1.8793994170464265,1.6102571988041428,1.533105060804997,1.777544547576958,1.7200180204821216,1.481100270942016,1.5635521992334012,1.6792167640973839,1.5178136699839133,1.355111411609401,1.4523486525168714,1.4638653550019736,1.2863068334017163,1.2037381075392402,1.4607785514219815,1.6658763073286602,1.6345996639100624,1.8975883685956942,1.8564770760867624,1.8355045080265968,2.072274242555767,2.287878750023371,2.202058636835714,2.157111582120694,2.028887204343505,1.9888321002522193,1.9187485521331618,2.089875961990991,2.1285061194574264,1.9897041064211405,2.0755834624497966,2.2232342328164454,2.1726367769665353,2.1225870301156267,2.338674230632051,2.3409197336578855,2.351678738413892,2.1452513909954054,2.0717058727907887,2.122995238445915,1.956008236515293,1.8403452445911748,1.7681865087073585,1.677792416738203,1.628710079709204,1.60072837543228,1.5888337188452422,1.454406592925737,1.395960302461346,1.4850648669458526,1.3887631715654232,1.260726488436408,1.303036329980661,1.455657892778476,1.3135701736345744,1.2802283932094036,1.4555075053364757,1.5137140510900773,1.6140041784342598,1.703081342369355,1.731220273252907,1.9152805291545316,1.844751744251492,1.7811542209824165,1.941346969304747,2.0324889333195366,1.9577868860826915,2.005721384413106,2.141471470221672,2.158017056947896,2.071129187523375,2.2545961950521813,2.418534038271526,2.446448674405423,2.345913029938815,2.101823939839366,2.6011106859762463,2.2352475169791535,1.9583456698022863,1.790048369183474,1.71804833532,1.410044157358244,1.578216896033789,1.6723285475081158,1.9129138162238348,1.990199869276277,1.9750684117320898,1.7415040176024401,1.7152655078070376,1.3172288429097456,1.2515415420201965,1.1605836656238462,1.1946709923505539,1.1502329231648432,0.9958624724291536,1.2004122698872488,1.0491703171150286,0.9365967751889404,0.9364898333429981,1.4265984617706267,0.8759264426197817,1.8429523585151442,1.9799668992950743,2.5512050857374593],[0.8690340975465783,0.9018750187440959,1.005343072530071,0.7909143902775251,0.6760860271665482,0.5669017643180738,0.5892109884563497,0.7034118411907501,0.7268716553693079,0.7795253820203353,0.8082159027866058,0.9090814924253343,0.9872590001453584,0.8535773738820563,1.0099925065885045,1.0901513618708993,1.1221281199100366,1.162083642480488,1.1658131669279166,1.2469626978293729,1.2614366135182602,1.3242501304166527,1.322622910418088,1.2651895108207174,1.2628392369071506,1.2258584250776565,1.2206879076703576,1.2241489632514746,1.2597154463847449,1.273083007872578,1.18744465706171,1.2056408491174289,1.1957529439691403,1.2827287538107537,1.3080842872244587,1.315404272663716,1.3825126399312084,1.5501736790796274,1.5241785463903195,1.547201323476394,1.3559468062132904,1.365799767762039,1.432151056590127,1.6263735262009598,1.4186372143050316,1.5974129551457452,1.664198378217427,1.5192277876346738,1.7949057904407417,1.641629691179905,1.7709475382557462,1.9787680014657072,1.7239604213902084,1.677560875285462,1.7171574470319313,1.7001262989162034,1.7531990232248633,1.5998820470290338,1.6546262067941735,2.26096860031973,1.5743648753740163,1.4614434007993273,1.4123306760455596,1.2983870446752577,1.3242587935256782,1.364724854497279,1.2866949024961734,1.1895625303830921,1.117468603871472,1.117516113822246,1.1851098237546487,1.247843746485383,1.1202909913870025,1.3150553436063614,1.2061759634730878,1.4448079026407494,1.3160447043380574,1.32071637324313,1.415913436016234,1.561248090267465,1.5096773500391343,1.5302683052463701,1.6652278185381146,1.6776187982039863,1.587587123890388,1.5153641575642331,1.4449329902067494,1.436281940756227,1.3895100541442942,1.3707087356902286,1.3106967093267752,1.4084345823027002,1.3049066273293493,1.148622349056823,1.0837472099737828,1.0324500426104946,1.0581455533410336,1.0790363542382804,1.036012695875593,0.9753823094061336,1.1578395826636494,1.151814816157329,1.262726972804094,1.1665207228527474,1.4382668141645434,1.0351622493988324,0.9946840050735332,0.9281077605002481,0.6831698518420002,0.8179572312697688,0.6190361257951648,0.8797456281402793,0.8419940695157418,0.9261940859019024,0.7900698335809303,0.8233671414487941,0.9812855858611692,1.010593888006631,1.055133272448314,1.0044555882238948,0.8843522673000208,0.8753237125420887,0.8183897821019505,0.7904304331635134,0.6222774484069202,0.6657241207610071,0.7947772639791447,0.814415585133992,0.6339666290944835,0.8208050974387082,0.6285183515396123,0.7045860882709719,0.8535410465122647,1.0133636283187766,0.9783225876438681,0.9522767492525845,0.6377951626948967,0.5873128814412012,0.5113886089114147,1.0811902173848484,1.1582332177752113,1.3879380706391538,1.2489743322402198,1.2902433028509754,1.3599530691176116,1.4936688136664389,1.5002984777775894,1.3031664248250765,1.1682836094057396,1.0452490270311416,0.9120164825452941,0.8543000166476676,0.9577913767614102,1.0525651231376991,1.0719217795417688,0.9233862707346427,0.9894590674096242,1.0381978713954523,1.1364415371494285,1.144427532428791,1.3444017367187986,1.4471795758210615,1.5593746340924985,1.6146242307908187,1.5137501887670102,1.6145033661350505,1.5533262946050375,1.6763219342864553,1.3097197413800814,1.4535894857835088,1.234286714317762,1.501466552873136,1.527212803275633,1.3953749214384763,1.4130706235169954,1.3747038557871687,1.3781441011576612,1.4098279397787663,1.4255767780852155,1.3441134722859842,1.306633183663321,1.2508199565776474,1.264041544072686,1.272775226747049,1.3464736793876015,1.4760446593784462,1.5870510186630147,1.474599801955397,1.505496988687514,1.8350778837135937,1.853765522046457,1.4124719573702456,1.4061193280047648,1.1657261037133384,0.8918547460989051,0.8432766745338179,0.9209100249987607,0.9162415614343316,0.9560600937295521,0.8724898261783964,0.8773280989955122,0.7457252708130554,0.7195702017040997,0.8969252223195593,0.851666859240943,0.7749651897737454,0.90152032355393,0.9197292051195701,0.8153979996626878,0.8320492538649429,0.9002076521837205,0.8821903724027707,0.8226375406260804,0.8731292335811183,1.0201767378159545,1.1676508963575136,1.0606621048842961,1.2162513740917316,1.1039796201167575,1.066256278437466,1.1710707335675548,1.5308907139576007,1.3011939336898262,1.3469472522962835,1.0605530996673267,0.990801342182175,0.92859202382741,1.0737152692325522,1.081668668025198,0.9836824431850189,1.0353045203885354,1.1758825926189673,1.1363791197983002,1.068342303914425,1.2913890830367873,1.3132766190566312,1.2933598698335804,1.201995334401144,1.0104020229980741,1.0305194788985945,0.9133244763453887,0.8917714196219639,0.9542852876352117,0.8513161575752499,0.9474487642783936,0.8683349899045226,0.8286827507362843,0.7721902846256138,0.7882223103954255,0.7320477183626523,0.7411814216814693,0.7679764522188344,0.70796507194747,0.7679228001119871,0.7171821452525582,0.8085987760547131,0.839072426100728,0.8319784443953955,0.8775007321782824,0.8818781994883226,0.891255848848538,0.9774105402266418,0.9598406501916217,0.9359482876993885,0.9757600701604552,1.065925492209469,1.0654383516228312,1.0472311223267807,1.1245663052003458,1.2621489463249718,1.1977902640223779,1.2586901795751972,1.45285565314835,1.6064947552006683,1.512537328197537,1.3429979326604935,2.0219570794867843,1.7607669276497184,1.3632711300313574,1.2840171205827895,1.1241847536538205,0.9855658524769931,1.2472107041883067,1.166563246376919,1.310109044440415,1.2762043442215925,1.1424217307437878,0.9695394034914164,0.8174852917178382,0.6309828915345357,0.6646680438419961,0.6155511879184739,0.6261203088916213,0.8421460350690558,0.6091059437509083,0.6701167195201965,0.6051485967036182,0.8155781976434127,0.6027883968927285,1.0791160562354944,0.7978560427234012,1.6632351258719522,1.7691190010503504,2.223200254835441],[1.0788788598686918,1.07418842230616,1.0083968345798948,0.9976829657114533,0.8096073039214954,0.6214600730887421,0.4950755712767611,0.4999391536120088,0.5392958628636397,0.5026798867199761,0.5248304087087426,0.5445901183745585,0.4460381790290799,0.5167846499014525,0.5270084390285044,0.5136563479216016,0.5259119309287503,0.5429318612382331,0.61512531519608,0.590806166687065,0.6647406138650331,0.7523843144439882,0.84768198676088,0.8486495022946158,0.7794462848362503,0.6813598454175365,0.6247425186525729,0.562598257304075,0.5621593087284374,0.5259548475577852,0.5193122939091387,0.49085903094560873,0.5190351121752036,0.5320945142567887,0.5459033881272066,0.5563903145878835,0.6010839813633957,0.7932554327106668,0.7911587124629428,0.9033629275594838,0.8375971142060312,0.7777692567134539,0.8216493130478055,1.079978842379297,1.070964709129674,1.3521623521900195,1.4853023194072792,1.1241438578457503,1.278845861724643,1.3226784885765912,1.326102682874173,1.5175811354831537,1.2193122866528145,1.1352038728768628,1.294214758392805,1.090516907683274,1.1481969625889945,0.9314364317020718,1.007565106383665,1.757799254263164,0.9718916416495946,0.8199208131792193,0.7344102845650046,0.7429902493765813,0.7595508275496731,0.7165459588903591,0.7372642225171001,0.5697874596009372,0.6162874196901325,0.6805835162688284,0.8403478331978487,1.0384550433323603,0.7105131725579981,0.8353473763506976,0.6187720687579416,0.9816934854119729,0.5885771748682269,0.5798073269952261,0.6443535964901296,0.8117424271922877,0.7425075606519178,0.8150983701914547,1.0482077024970944,1.0028251070638443,0.9688696327189131,0.7785153006726004,0.7149145874466758,0.693581024975733,0.6171376194666156,0.6267992197501782,0.5737988347707629,0.8011775997630828,0.6932376743774032,0.5039083581628667,0.5128067068999205,0.5760767955203162,0.6991925314813897,0.49955686744045164,0.4830957720968036,0.5038280429716266,0.4844392252673412,0.5738660928595772,0.5755752306428303,0.6012093565500772,0.9110905888781009,0.6331653277373182,0.6749809969498676,0.7423381308807898,0.5727167833621489,0.5928288462915074,0.4703486990093581,0.4875127903243301,0.43065638445864984,0.45443295613616463,0.5175411488649625,0.5204167295947736,0.5139264442841173,0.6073942025367804,0.6544932351257003,0.517873213324994,0.6018458610805354,0.6569774891656431,0.6699195070983305,0.5677875180482181,0.529597951261252,0.3993326006018573,0.5363486845217059,0.5706363736216796,0.5211735211704817,0.6464734719695331,0.6645731401710853,0.690928860537363,0.8380163681012545,0.7715905049098418,0.8498286040290949,0.7392185901926066,0.7255439973162251,0.8274028174433491,0.45586199519415344,0.5400099266876928,0.7976028233478977,1.0344073146918378,0.7287577222813353,0.6538539078999912,0.7079805854073052,0.7679512264548733,0.7467671699905147,0.6223761537711451,0.5016785627077504,0.48856549977395236,0.4637129755349944,0.47826023118139804,0.6091068343663713,1.0970814129407618,0.8373934924190952,0.4661822577842514,0.44412310044171655,0.46604761818081425,0.47732319023312314,0.5631213692690852,0.6909579577867445,0.7235193794264144,0.8879881553281884,0.9428412187322006,1.122347541920444,1.215300867162361,1.4371260968055495,1.7833287921238552,1.697284324017516,1.5892009165438132,1.2765959655126056,1.0928117170234208,1.065496124715902,0.8192525494189771,0.761989842771788,0.7289193879719073,0.6613447879930464,0.737962381309823,0.7798234337684803,0.7645770041971761,0.9032509074136674,0.7570228446402896,0.9058207818021491,1.0313746509991186,1.0457018049147877,1.0923790568376006,1.0652314550116064,1.1382006896848087,1.3753840370845916,1.6503895806576905,1.7906344863984553,1.265940593403189,1.43231937335841,1.2797823076409294,1.0402567270434804,1.0057779454152653,0.8793133083368507,0.786071807574545,0.7961448110212025,0.8873372735931758,0.7845335230433949,0.7672587031268344,0.7747186651419233,0.7738658021804627,0.770976398736389,0.7954886756148162,0.8220517356149808,0.787901909720804,0.7916742115886262,0.8448693673125556,0.8363645336332638,0.831554848383607,0.8822593272054116,0.9092661125679761,0.9589548659652849,1.0296282608507037,0.9386368883570106,0.930248586114533,0.8739196807981999,0.8599850140269534,0.9056830918881456,1.428812914961254,1.0130844978297424,1.1797712892764958,0.8309077443281958,0.8048182886984906,0.7730134318806284,0.9152530388913975,0.9031797181004709,0.8312790388143569,0.8943174612816259,0.9715303366789751,0.9055243339566991,0.8771261412549882,1.0850396294433864,1.0557169255978724,0.9458944350876545,1.130227480490913,0.8139485235251087,0.9348007696483066,0.7797160702312771,0.791660816751572,0.8965171712920054,0.8560838465498934,0.9918870055135783,0.9254128243404811,0.8482373989316041,0.8184577947209551,0.8433339502029386,0.7804878666241228,0.8160636599322,0.8721907063738359,0.7725144905592384,0.7760848602937586,0.7869366886811786,0.8565101956431618,0.8522590065067783,0.8245845110464606,0.8271279282816216,0.8134580718763869,0.8240889888257314,0.8370866634683608,0.8295761639643373,0.819554598420161,0.795479195430724,0.8275499190400899,0.8365475414032943,0.8109958139933388,0.8542734589839609,0.9768541281117779,0.8762577409068321,0.920077110265474,1.0882594590079568,1.2523361717650996,1.1439199702334946,0.9831932275874194,1.6330533593094543,1.4830103284414493,1.0654179498497642,1.047056261550951,0.9300277526520553,0.9150669183423514,1.134909760677895,0.9396887828098202,0.9567940929487606,0.891275455479826,0.8492271467328367,0.8138837267038598,0.7648908420839909,0.6086149499257347,0.7326825686366405,0.7007071362132138,0.7156501880255437,0.9403623164315409,0.7283913769614945,0.8281326812382556,0.7731267903388996,0.9111434757300487,0.7774757723745934,1.1958606157796456,0.9443415621523955,1.3701690904694943,1.4173757336849442,2.115091351297058],[0.5074075311596559,0.5042041230151367,0.9111668528759125,0.44884922489489926,0.5511339727433752,0.7307868854300449,0.7005557343857173,0.7180662981376036,0.6779365780251558,0.5122690446922497,0.502884577789861,0.6620395853010465,0.5625801314146233,0.41683754366408654,0.5050875843386586,0.5535067550567939,0.45691433121490316,0.4015479038411466,0.40396969400656063,0.4187433234801555,0.4421426212746574,0.5494494389399063,0.6423822252642025,0.6955233182325439,0.6487592924919314,0.48719010875312774,0.4986352992929418,0.37784600249585637,0.4497642544229685,0.5502136692427669,0.5158931605281062,0.611129142621267,0.6499759030695594,0.5874543664046827,0.5653366116588555,0.5024867000033213,0.603629173785996,0.5554956204180301,0.4702977911404813,0.5633235720787911,0.795127004324926,0.602143310151664,0.511591545636003,0.5970059288199298,0.9514666722266514,1.3745319208117994,1.418649281496786,0.6596084021418177,0.616751618688775,0.7986994035765813,0.6427721937789282,0.8687171072368394,0.6932034333485517,0.6699381813666627,1.2402645600640974,0.6303744295881715,0.675416727008545,0.6548266496643192,0.70995727206875,1.281388039529202,0.5922710292299862,0.5890928700067417,0.5638759193442522,0.5894112715767948,0.5925466608210765,0.5266165763729898,0.5120287304180766,0.43230728025288245,0.461520269025542,0.5197802312926654,0.7267921452019231,0.8926109148766989,0.5661354000614199,0.6781531818238545,0.5973655693932435,0.8879014393991548,0.4744018741471686,0.47864607777851353,0.5106230773566199,0.5980063389048904,0.6086113299132611,0.6041281193654202,0.9610478381911887,0.7550057795199048,0.7005211757815288,0.6126191689416791,0.5347000441080616,0.6666253513975027,0.4878244360902503,0.6377341174716807,0.513233980574214,0.779303375412891,0.6316202972345881,0.5206973505016587,0.5296219197042489,0.5219809248212266,0.6358704235623588,0.616592796359678,0.6503263160083738,0.6925091066143316,0.7110535519491449,0.8568028184605045,0.7276146799860429,0.7873731057058219,0.932828281217678,0.7431411447088762,0.726917058378519,0.7078929095769352,0.5886392910084879,0.7663367564724345,0.6203803468871156,0.7176531495017727,0.7150161827361446,0.5893413290250783,0.4296106808531415,0.38708060482059614,0.4503530885164685,0.38934124761393857,0.42568688602737004,0.3853774218743442,0.37869468318033,0.40009229259147483,0.372659453514071,0.3430388401208298,0.39919469495913557,0.38448104774084035,0.9187296310426926,0.8258773207584414,0.529087847173156,0.571255897894578,0.4617974032018536,0.46311856586747385,0.4581572068046626,0.541898782419956,0.4914538991824263,0.5559239235381306,0.4613801412442196,0.6084356306717134,0.3754186054505188,0.3914657533055829,0.3927307091034422,0.5985675878938226,0.4058659941131222,0.3506465243087502,0.4871336481766254,0.5244543822128728,0.5395266761233589,0.6593861002030471,0.678232366607984,0.762820138900091,0.7790588808234812,0.7615636532706045,0.8976929798077662,1.0141605711956867,0.9227577437611402,0.7067311906926225,0.6902516625263024,0.7696302029836846,0.6918910097923655,0.7455139957848479,0.6719788696699607,0.5912608545163386,0.48065255714762317,0.5021430813992066,0.6205356015188381,0.6496936002688553,0.7128052609882998,1.007514223169364,0.9899361405720866,0.9490382593204694,0.666839016565727,0.5316392976823926,0.630084512793186,0.5085879875544564,0.581497113181468,0.693312586703264,0.6948843239893167,0.7561592699535739,0.6032619517569627,0.620477270849756,0.6751344883100093,0.6221062390021961,0.5650735272512171,0.592846655646258,0.5635250448735932,0.6424211162131866,0.6916040782046462,0.7597831135791366,1.309236860468916,1.027719371137857,1.0348983403130427,0.715335820707408,0.755102888254876,0.6947832963509389,0.540500084109318,0.5936726478692129,0.6584652053622554,0.5534976958569431,0.5122801090203603,0.6267272122097385,0.48077211262668723,0.5100697355937439,0.5064969681652131,0.4116723671522714,0.4193833946832104,0.47551550429129724,0.45619131223620374,0.4203416153623127,0.4737657115038207,0.5563264344897827,0.5428477243732713,0.5345069401164275,0.5780997386123453,0.7184857645748861,0.6456255102817319,0.7112766972851189,0.593223738396873,0.5673475547889871,0.45868745718842346,0.46958274954327556,0.4527485405175664,1.3057527552301254,0.7253912129674618,1.0455752200173947,0.5753349406836021,0.5418283469185561,0.5412470023729757,0.6689038138995951,0.5714329970260602,0.5215422343989206,0.6378750732016415,0.6849042524288861,0.5900636543573033,0.5722692805070148,0.920089597718981,0.7475241123118123,0.6689080610513065,0.9224437046583964,0.5064976398877997,0.7235596682653317,0.5883166591974782,0.6025287330940918,0.761770213478852,0.6959446000091798,0.8894480478132374,0.7738571924022873,0.7131290042018158,0.7111794539032285,0.7256615948142487,0.551874082729298,0.6523342942813528,0.7691408223185462,0.6013262978730957,0.5604457757433051,0.6375283613928586,0.8369951619796872,0.5882467066864807,0.5294169960377935,0.48635334087716214,0.4609723156464304,0.4907733968038769,0.5039095078821195,0.44636916995165554,0.4279463751637817,0.41039746953706735,0.428585002751565,0.44199468525930985,0.42982711292431314,0.4983515079800183,0.6039333967589382,0.5465031717533644,0.5909788344570296,0.7502509348595129,0.9568282322719883,0.8918667538613438,0.702427750809868,1.3499100940555044,1.3596639576372798,0.7317563610091519,0.7283501676016974,0.6339806981702718,0.6722585645686091,1.0210956929730313,0.6598353965278582,0.6230992509429082,0.6454524815217063,0.4440772869114388,0.41229233423162726,0.4587837007745304,0.4121479654411704,0.5042672875841024,0.586465187004751,0.592904429055868,0.9796551810199491,0.6526822567118525,0.5699168745205206,0.624520492593246,1.008570046146318,0.6749475976842478,1.0734157779431694,1.0400731905642184,1.7304503086409384,2.1433723591033,1.9564600156836724],[0.9209947674358477,0.9577399631653998,1.0307592602155051,0.8393646580458985,0.8829860829261618,0.7621263275776358,0.5477988765062733,0.5601521655977251,0.523309095042214,0.4153495279882699,0.4274596739525738,0.5302040800961256,0.40098364784659873,0.39447284878813216,0.44815407915808236,0.43646689134075584,0.4638065100541508,0.457539603631985,0.5588450485307034,0.5307946361000114,0.6167082499339928,0.6816497961635636,0.8061247271719092,0.8300843086279651,0.7837340366510959,0.692218997826698,0.6103427779765045,0.4938094493527703,0.45928594852001947,0.4094705233641799,0.4749786366047414,0.44231546880062794,0.4806913002599281,0.44879146657427355,0.4255734363044286,0.4369647981087995,0.42871630190973387,0.5305714022978849,0.49938327650113584,0.5692396886360874,0.8542405138636197,0.7087405625864742,0.6516139791790193,0.788326955408496,1.109061315646793,1.4486015390827938,1.5034809761899322,0.8699149118708522,0.7828313885649814,0.9589285845015234,0.7578223079465457,0.8969264793876469,0.7033384059398169,0.6898611041839553,1.2223676643044747,0.659639790793432,0.7602357875476579,0.6856977039825315,0.7311591595095661,1.3804886363041189,0.7367842632348379,0.697178411050661,0.6064124044590435,0.6768326772570895,0.6927363882338211,0.6070208015994539,0.6517173895526867,0.5290711651575737,0.6017649381277889,0.6076955212995099,0.8158311826912348,1.0233658064028586,0.6635184468010665,0.8110485367870587,0.6042444052563419,1.0159052350902757,0.5210282216538386,0.46693665424106273,0.48902738411641666,0.5904855725952138,0.46775381443162106,0.521559455361731,0.8302611968722655,0.5395613889885699,0.6350196543214562,0.4716412901902524,0.49709396027705716,0.540881421248363,0.4708304784281747,0.5490404747874131,0.48922950997290887,0.7910779390064906,0.6308348781252325,0.43591123141175353,0.45783760798452977,0.5022864953776167,0.6209154879246425,0.45870916338443096,0.4551833942075577,0.6098045278694602,0.4385604459545563,0.5508905345889162,0.4499983229083047,0.49366717155664835,0.5439972057116667,0.5547137256549323,0.7091913377710123,0.5788209879718885,0.6295974168496403,0.7512799196247874,0.6751937148260675,0.4601682251455279,0.4571713914029004,0.3518852939771782,0.42900434889612754,0.4782784474646441,0.5424290345416497,0.6309267763616447,0.6367316140888063,0.48423988309428734,0.5235876122483172,0.46956280181945964,0.5384454886771006,0.43440312482155574,0.3848546031802805,0.3478840385201345,0.5948160677846454,0.41556521356660664,0.6229513603399994,0.5727150710211615,0.6611379974474194,0.6767103483710817,0.49591716170002437,0.4924013021303852,0.4466868236718077,0.443448219188474,0.5520495279674644,0.6768620337278616,0.6539907781241633,0.5274181877086267,0.9051947587234421,0.9643520248044105,0.6560314937682171,0.5400391268858699,0.5687435045683505,0.5269018179712123,0.4953036145706144,0.4410570022589783,0.361035504126233,0.45916432912723826,0.5204812366247673,0.587594595118324,0.7536480473684212,1.2833597327537511,0.9692526685111689,0.5798930606654582,0.47966399368575685,0.4869495806789451,0.4294169170072964,0.43965525729569344,0.37866606691882837,0.4327251930127981,0.5333407808731646,0.5074308947150177,0.6931895511473026,0.7905350408419932,0.9092251771578167,1.330399317753358,1.246925560108486,1.2020105537720431,0.8122995549934544,0.6383178775133209,0.5732790277222803,0.4165040787025403,0.40645759773799184,0.3819663148949893,0.4020083954738495,0.49010918062049086,0.43118812764519987,0.4644483008187159,0.7482151416365157,0.4097148849159701,0.44343792095865076,0.5522064708564711,0.5529830137012206,0.7133924262343675,0.7726046732251868,0.8882829578117553,1.4192361910647973,1.2229464454494674,1.2360059032706265,0.790792030185098,0.8224227822264133,0.7296036113768222,0.6107699362294008,0.7366639792917198,0.8413044317890757,0.798036884002496,0.8271841465705205,1.1022699211677354,0.929989810811156,0.9947147399679634,0.9989071349560065,0.942568984569414,0.9877758806279159,1.0446508606797185,0.9762727154076761,0.9423737558372137,1.013777280106453,1.0163917653596977,0.9361678772107102,0.959584066971884,1.0269002639693863,0.975047539245272,0.9811340897013239,1.0422959165229873,0.9968104430406958,0.8787941459038385,0.8911807250310528,0.9204481834410213,0.9419566653710499,1.5801920691790707,1.0482931735104388,1.357977317280108,0.960121959723405,0.9619188417451615,0.9779307098810572,0.995765071108258,0.9396401532401346,0.90028539333609,0.9801604013253624,0.9561490411681254,0.8927612386151587,0.8972474948310372,1.124083681297208,0.9276739457971386,0.9091550414811689,0.9879501754562375,0.8427183014350524,1.071105165182225,0.9312317829994711,1.0022031595025245,1.1077733329883561,1.1084123425873502,1.166386745867452,1.0935222573392036,1.0361697381647832,1.1204206343025072,1.1137124810406458,1.0644234442863154,1.1053217590118412,1.1646877957681343,1.0425494085241365,1.0322570699162141,1.0474336586027442,1.0454060735383077,1.0560731822430833,1.0325327016472525,1.007761343019637,1.0422788618547032,1.0548372119262934,1.0392495376557584,1.0087451702204637,0.998592878588789,0.9793934387218635,0.9184117006158478,0.9165081794959832,0.8857649487569155,0.8761025032163879,0.9225737385554005,0.8518136283730808,0.9018389701069583,0.9758792223139837,1.1700006927070394,1.0800763702561125,0.8892770999949433,1.2838629277961136,1.2081521018960926,0.8773743689389621,0.8688097504639675,0.8906824034411308,0.9220285448423767,1.0146800907257332,0.7753027975446509,0.7668891669105473,0.8228720016275611,0.9655142597664846,0.9400475587770023,0.8779257932714748,0.823277432097195,0.984929471721365,0.9932113181393295,1.0081361032820848,1.149097468941701,0.9903162085495825,1.0341819282933038,0.9615411488047371,0.9325384307757022,0.8596943927939275,1.178103352186363,1.0110714313386426,1.4582840550930736,1.471171524673346,1.984723389546993],[0.5628143945151812,0.5657914648429161,0.6765943149515662,0.5112279773480787,0.5688047256138219,0.4187406624659527,0.31921136393641825,0.34723526605575683,0.3537092789572417,0.30453645763907267,0.3151073749254207,0.39359112728812296,0.3255398074494841,0.30630862539451376,0.39117553085900264,0.3803153205468034,0.37957377176240276,0.36828766321751466,0.40065757068606583,0.38633219501083194,0.42764350489467756,0.4945028068491558,0.6176046201051831,0.6104767911360893,0.5603417906762695,0.4638616389951744,0.42456626007350123,0.3604121354243755,0.3869380186031029,0.3671291205487885,0.39396891390242916,0.40622117971126837,0.4400686275130934,0.4176286075333459,0.39608386355976144,0.4055408662221229,0.40284460457102444,0.4627770833550731,0.3850537689353742,0.4616998231564075,0.7024573285334278,0.5445750878600447,0.4822640438137397,0.602686761877156,0.9053712594857387,1.2384409029445187,1.267212205182272,0.724748529027793,0.6580613990697318,0.8641213275468885,0.6881506312720567,1.0108930768432616,0.6345085568930212,0.6356225059189523,1.1878281178312329,0.5512891006062794,0.6337686004083137,0.599244489232942,0.6406619515395846,1.366892425008209,0.6144720969068117,0.6049408476254992,0.520997052890051,0.5749143261973608,0.5555796030631448,0.5023906567652927,0.5534768707311357,0.4199759830692649,0.5141270268565902,0.5413735134637555,0.7428920490639239,0.943593143498356,0.5996529040345063,0.7317302862933279,0.5071647205248165,0.9251912588673286,0.42266488596425933,0.4107573315549535,0.4124736505329266,0.5211878630448977,0.4054054584585025,0.4778050236468274,0.902894369427274,0.49626133239139103,0.6442054256171384,0.43440254272252965,0.42571844576730794,0.5031072411891812,0.3940487566281584,0.4872037494640332,0.4253074194042393,0.6933418426853022,0.5701938715091046,0.40492108058338316,0.41899593361242365,0.46266266955490953,0.5929865006553104,0.41964177478459047,0.38597286055247243,0.4686046798012756,0.36448426381044957,0.45717998091750645,0.373535119240384,0.40401514134892386,0.5592575765221186,0.4670705450292897,0.5474212342318966,0.47428272159133394,0.47686314166017857,0.5987829863099323,0.47291451422269337,0.4016472249929302,0.3344576314429999,0.3054973384930948,0.38056957350491816,0.4278187728384538,0.41401473962361074,0.38636099430280013,0.43484584548536176,0.365483880139051,0.39312293945852883,0.41580290876198545,0.39029230869034504,0.29078285125177167,0.2712620007416164,0.28193488150286167,0.3209365002348963,0.3532321127747475,0.4947502329359912,0.5274096003316645,0.5691826647054179,0.5477832970693552,0.45553387442235965,0.4971950982257246,0.43455193012433546,0.4512012038195605,0.5858790226553889,0.46653641198798,0.6162478227967184,0.4272057576717096,0.6418241082174814,0.6313430470466045,0.4307883690661273,0.36429950637120245,0.391860736607798,0.43169046967192265,0.3981454125272886,0.38417823356487646,0.3118732278855781,0.3590455454464983,0.3901054271680886,0.44113140409092944,0.6142193847372716,1.117075714165422,0.8783114465461246,0.387574755952831,0.3531461692096017,0.36990834091238145,0.348373669926298,0.37791212800378005,0.37070214336493634,0.39994293599307634,0.4630026192147457,0.4357157074872048,0.5383207284501091,0.5567852837419046,0.681821992260823,1.0553251723224595,0.9756336589070499,0.9204681472518458,0.6015070929541708,0.493189881428793,0.5024584538246054,0.4240327052131953,0.38662189452728024,0.38540142388305443,0.3835478699121841,0.482079938191714,0.4307199481831888,0.4178679294197843,0.7613804859048152,0.3914321845271104,0.4555706887856189,0.4925154275206169,0.4761101256303659,0.5810937212053486,0.6178879065272451,0.7784870693678395,1.3447064775429833,1.0430128645856194,1.1150380317293531,0.8357612802915074,0.806102114527507,0.705193575665762,0.589841469351885,0.6233196330811464,0.7468634792728185,0.6922344200408342,0.6398115726376422,0.8880037887383986,0.6854381879149705,0.7249285815339847,0.694610825842859,0.6014963304929594,0.6223161743184596,0.6474771917819601,0.5523049791010192,0.5385780360587539,0.5900512483170025,0.5766153037148152,0.532910194538331,0.5540754473083236,0.6256857301073007,0.6517848440765236,0.655841163309233,0.7324064959518111,0.6569496265749671,0.6224343289046194,0.5452646359625124,0.5445929571854338,0.589746395076583,1.462825767861789,0.8124828030744833,1.2452689333191511,0.7339921537596631,0.7127016060895177,0.7472641834074618,0.8171458874451634,0.6990076562078634,0.6512673248587019,0.7896386299825352,0.8117192200183913,0.6929317443227574,0.6948338555162645,1.054537599684719,0.7962478520202945,0.7705147011128746,0.9147558254049664,0.6472749791407011,0.9242090497008528,0.7994424638017077,0.82022413221213,0.9598968796419207,0.9339756456310916,1.0690104029450838,0.9227240448075072,0.8143569217918987,0.9105265770155763,0.8875818253612436,0.7299176802431044,0.7930207776784534,0.8798633582384211,0.662428722166784,0.6593662164141444,0.6963718329083326,0.70247272396136,0.6206444329704696,0.6066510529321767,0.6003155057773989,0.6338114481580069,0.6982403273047315,0.7068946569425809,0.6078526952846457,0.5934997065125452,0.6467295291879636,0.5879482197100607,0.5739098215633296,0.5967916362310536,0.6349882383947605,0.6826573086207096,0.6045052693627769,0.7016114039504086,0.8048592246447567,1.0172030764403268,0.9388086594893773,0.7259572363610678,1.2786734252637775,1.2561001763444704,0.771652410047184,0.7645982099860963,0.6600521442265854,0.6290911816042826,1.0036625695663977,0.6357842577230182,0.6794330550025899,0.6733942017270962,0.6330861161259301,0.6348232523671672,0.6135328347905795,0.6188583996620032,0.5653170005489343,0.6928520095509195,0.6876664040108335,1.1355909470575825,0.6809971523293724,0.6239246072108087,0.6220496046081025,0.8685155305346881,0.49099594818765285,0.8276960900330175,0.7719603518255534,2.020724749464867,2.5881772066673743,2.4593931828490527],[0.49787668640821225,0.45689258065317806,0.5609600837412456,0.377820689737783,0.43434721813105626,0.3499210028120445,0.2631918129867955,0.28985660822838244,0.3548588445045524,0.2490030826795645,0.2524922847875372,0.37047980105192246,0.2498497285309259,0.232481909663145,0.3264746920120017,0.30365188743361754,0.30588061489293733,0.2808034210443739,0.29831498336290224,0.29419396060985886,0.31359395795243583,0.4047764033970794,0.5093168757697376,0.532301185195492,0.47307960475806343,0.36793051959962003,0.33492607917963063,0.24861112962507032,0.28577270379599895,0.2824251277494559,0.31546704492148386,0.3388191365898164,0.37681186909015313,0.3416906247895957,0.3137141681701909,0.3191183831558138,0.3147647953518595,0.34678321752739694,0.2956634963755125,0.3622822503245125,0.7056910202293328,0.5003096561916857,0.4173859861293232,0.5105793084196077,0.851548983785305,1.2110265589978209,1.2080454359840866,0.6280313455994007,0.5592997864594,0.7976117261458883,0.5892985632814781,0.896709969332553,0.5378564612241279,0.5329625118900176,1.2218164729664698,0.4660449311936443,0.5289380045176749,0.5500679532398989,0.5971589384595143,1.2487586242886037,0.49957762257616095,0.5205375128337324,0.43863398311057816,0.5090406776038642,0.4555450319037976,0.41304014291804586,0.5172826288221107,0.35236968670413965,0.4616946101611274,0.46800187093385376,0.724143583024068,0.9284888486645413,0.5594113297606226,0.6882640664239901,0.46106911814567353,0.9199316523364797,0.3437599526624204,0.34380269351862985,0.3148110160761312,0.440514113310246,0.3415823165376382,0.4114682182113236,0.9284337111682938,0.3743078563800659,0.559073507036832,0.35562540325640807,0.34847317758638685,0.43768126900574916,0.30345777717467914,0.4126735395769562,0.3551006528825894,0.6500778243048548,0.5112616434337245,0.33526613162966545,0.34471042506548205,0.401594836962021,0.5238989923137973,0.3604356468963148,0.3354250492315912,0.46588357010603043,0.32628410465105034,0.4256477823807773,0.309700357024096,0.32327676021700147,0.5071394951137241,0.4019733012856663,0.5172261087502652,0.3727066057596208,0.34484705345845057,0.5890300220748067,0.3468002314677437,0.28675236071696053,0.24250526649660398,0.22209828635535528,0.2317095449042367,0.29530957449936374,0.3181943443440475,0.29365678863808875,0.355525834567271,0.3095791114227717,0.29175353943588667,0.30672511939292224,0.2009054514907767,0.15043201203697482,0.1840483765327239,0.286031844833436,0.2181526354986407,0.27201120926226025,0.36520153727631727,0.4285855354277947,0.4618412141129021,0.478236866416989,0.38295033710330423,0.418483417735026,0.373294887098271,0.37617829782683376,0.557000478074717,0.5075912551198429,0.6517317430427841,0.3676629236960743,0.6162036779009143,0.5509477956141716,0.36147076440301384,0.2910086002438235,0.30579553798728804,0.3580882267439307,0.27719757699668773,0.30849097145566096,0.208491578729867,0.2716348720342981,0.3133454609112363,0.4335299072370724,0.6012346887520417,1.214433847950634,0.9363573531527167,0.3561911465276919,0.29843033126273416,0.2919362152001383,0.28128682714907655,0.27813814583461977,0.295579733981062,0.2901710623861814,0.3537074789548839,0.31427609933300243,0.4727676112025789,0.48811841598512823,0.6002121904444978,0.980607102714614,0.9393237201693411,0.8962898259118611,0.5677477980375591,0.4312011575120449,0.4348687302743263,0.3234367555123686,0.28615417959747924,0.29932849083125357,0.32298657388752655,0.4635774979629225,0.336710397415502,0.3207876154262929,0.668105696227619,0.30189578631400443,0.35066380003138675,0.39240918063364505,0.39548215202217113,0.4890610051569243,0.5370918720317925,0.7292576265153655,1.308364365081709,0.9470919507714921,1.0105980382090671,0.7921175608517701,0.7655921986197596,0.6772000127264046,0.5362994196735867,0.5471777821035181,0.6754304196886799,0.5543624767923224,0.5194130984901806,0.7621016271711905,0.5377408213840204,0.5856090188549433,0.5614554639691055,0.46459756740628966,0.48822294552131695,0.5224819897097915,0.45573473292201294,0.42392930672191664,0.485730488037605,0.4630357463450518,0.4339632109408449,0.46105642084523474,0.5508312627000458,0.6009001339557021,0.5995824966743126,0.6660402769809489,0.5809084416163529,0.5565651594393408,0.46445854001834463,0.46338930248070687,0.48332796016917084,1.495931767213137,0.7341665762961173,1.2787468781459934,0.664189131586814,0.6111337206575942,0.6263290288603133,0.7176899983482257,0.592037701894044,0.5218477623143867,0.683324466392617,0.6789472499228543,0.5965156113716868,0.5833325787457049,0.9481273929102556,0.702423122060612,0.6694893644329768,0.8522979526653649,0.5379896560044886,0.7892032847473277,0.6855075919395616,0.713870067353443,0.8603645150688866,0.8581028320161318,0.977178707670515,0.8190670397763233,0.7075708807887643,0.8332298134655626,0.7870818732133726,0.6213366556183745,0.7361750782025088,0.8460155021669197,0.5843920185796754,0.5740364516508785,0.6741875730600743,0.7049375946056636,0.5446391023724789,0.5305888528573053,0.5041427333054616,0.5281491399846107,0.576357491504824,0.5816463487818198,0.49696174693737033,0.48072938524703535,0.5270924381513615,0.4805443604164785,0.4879815736093259,0.4879682086229616,0.526674151794115,0.6322444677429114,0.5493166659553351,0.5923917688831771,0.6875782583822918,0.9308484019432607,0.8843907258279046,0.695093636045261,1.154931355937466,1.1509155885846585,0.7412428608500525,0.6906130857702103,0.5959965570041695,0.5196646446819185,0.9170943923792813,0.5709548246002197,0.6283478193701889,0.6200257936584511,0.5670675635899102,0.5461222500328164,0.4847797765362419,0.5247843395460299,0.4402703863715932,0.5764372894730918,0.6184575892129034,1.2738488404567347,0.5904468146381462,0.5123601966468126,0.5859117138437735,0.8387295593057961,0.4421027935139489,0.7437763398289308,0.8310989146781956,2.296303557919825,3.0640570562640734,2.787545559411468],[0.5394315198394999,0.45901925532722254,0.5457989591158937,0.3819476063052966,0.43546439329203634,0.38723609352285443,0.2926309365311841,0.2597557311863393,0.2978620471569111,0.22051421785417555,0.2419574825102775,0.3367418397055978,0.24942570113963808,0.2373536455726508,0.36966743592645307,0.3168860058152698,0.3618263465020214,0.3025079083121316,0.3429243380597669,0.3690606895533851,0.3907827514919921,0.46165259783559837,0.5868296663248282,0.6953725370846994,0.5647718396772743,0.4923150842088547,0.45585988076861395,0.3335764209986768,0.33063471322554416,0.3212680337580734,0.3424794533165611,0.3370787963796902,0.40886264038152437,0.36093112020070556,0.31543495706422553,0.34283945537177496,0.3434429245421909,0.40364312130998203,0.3818467327715871,0.42121831462210657,0.7415157399205251,0.5716194793102712,0.5132185020062078,0.5322065833117259,0.9149066867373717,1.209332318716062,1.2548242966180647,0.677949238883908,0.5995057806062825,0.8817079351294645,0.7016176363427897,0.9218109710237199,0.5640038888814171,0.577494235310296,1.2498997368470997,0.4877399278019169,0.5126668186429928,0.6180333752246494,0.6246444741126538,1.2637984342708366,0.532809180945087,0.5779586011525305,0.481843527118624,0.6020929538121652,0.505017120341352,0.4513244813364431,0.5216934077127086,0.37614706683813,0.5123714049699686,0.5052809435107064,0.7261616312909123,0.9425827188015162,0.5828112920989118,0.7482029961290104,0.49699377907443,0.9964798000672678,0.3873184475664424,0.3867215279947184,0.3555628284367772,0.46701795131832985,0.38485296036055416,0.49133291396873524,0.9531831869509961,0.41753089022769785,0.6472740920939536,0.3936172497419633,0.4099290661286141,0.45946695906271423,0.3550763627338219,0.42827654860964925,0.3954576141826667,0.6962825473399937,0.5506082869958385,0.3669086901602871,0.3577862706026895,0.4702718110333384,0.5615934421468085,0.38087186093767045,0.3382928914942523,0.47941994858968817,0.32228859282145,0.4180920481912684,0.3294745353724196,0.3423340647804429,0.5021239473663517,0.4173999361822655,0.519948660007661,0.41442882455685287,0.37011623869474003,0.6125949222572249,0.36085814916535675,0.32855540470688027,0.2841587982569296,0.30378442108663223,0.30574655763743974,0.3842497494682639,0.3400594234418032,0.3826297879737976,0.4510316233666446,0.3484985315745099,0.34959136106541944,0.31884094037205873,0.3423309069362746,0.27912277096488847,0.25163438711223063,0.383015388896919,0.24099880616695457,0.33008565224988595,0.3940105075037263,0.46421295659669065,0.5049575552950666,0.5011544834676963,0.44501613923502614,0.4505294414254114,0.4340283429034074,0.43775902283244617,0.5940755442400837,0.45711402198945694,0.5497909085726129,0.4883901127360233,0.7486853270158604,0.6867464007534493,0.4448788620869201,0.3813317527153953,0.37027458984276634,0.42859760193802093,0.33759014318607566,0.35159858185059856,0.26764649272022156,0.29058315176313787,0.3430158296691668,0.48001724617970226,0.6099210761394086,1.337563068027061,1.0424803043360802,0.38444066279214845,0.32605012590928834,0.31001613096128183,0.287638904612799,0.2835941738384897,0.3908599822764674,0.3600402295117842,0.39653176735226564,0.378783278630118,0.4983920856900394,0.5208971202063702,0.6392663549553915,1.0812295376243202,0.984931907404206,0.9103553158936663,0.592031216732745,0.48491951756081925,0.49773853677958935,0.3767171515522261,0.329402731195935,0.3320603725683872,0.35592713747982363,0.4816046288726149,0.3857741583462052,0.3661277885954576,0.6594842907088906,0.3578166330760216,0.41977207793585314,0.4744794945688802,0.47178665888029353,0.5622746633887687,0.608502434227658,0.8226543408493696,1.3863642834621601,1.0182295674838684,1.09396693658889,0.9174082066319118,0.8390643563111809,0.7399580753477255,0.6115005303942674,0.6131001234763027,0.7189162591121546,0.60685501156013,0.5470171047520275,0.7760469573830783,0.5529995727567182,0.5888624225357565,0.5659617913645927,0.47675670274749654,0.49301823451223836,0.5243908136281888,0.47318055045674295,0.44085480800342847,0.4998553827567394,0.4829235810342523,0.4623697473766046,0.4959328479777379,0.5807247344343062,0.6450271975478096,0.6679055544076026,0.7095789763444542,0.6282118883181842,0.5933205076445685,0.49460578969095015,0.5018904694136704,0.5042733719414708,1.4893601460190045,0.7406764662516648,1.2797725737760202,0.6677279820534645,0.6221846233416086,0.6347425042589531,0.7246170694001736,0.6048687727698892,0.5386460756527218,0.6905187694849684,0.6936758349393313,0.6084094979918961,0.60101892614534,0.9786934785001172,0.7428478128204833,0.7008323874998865,0.8791645657447384,0.5575929791187683,0.8166636112892711,0.7054903270531095,0.7244699328124183,0.8740876268438735,0.8718375543052536,0.9905094398812528,0.8315502292688465,0.7176284562307916,0.8490679258145093,0.7890443403067952,0.6251382966078909,0.7430041835126217,0.8546554536956278,0.5906446827004319,0.5850042552737992,0.6963454758401224,0.7382982273393717,0.5733649689248106,0.5621026498073586,0.5300041832289991,0.5394126566844367,0.5746436391244762,0.5845319373022448,0.5141197294957962,0.4967118021443411,0.5305578904437266,0.49235312092341404,0.5009809246789622,0.5022951324553712,0.5419689618545595,0.6460052106546731,0.5578213750076408,0.6076717163862213,0.71204756360406,0.9594903358493908,0.8967195413335524,0.7105611545353792,1.1999665294668305,1.1504029455370426,0.774656192661992,0.7167953608213294,0.6146577559077893,0.5403974200000966,0.8927391632472707,0.5716357556907826,0.6418723183077968,0.6341311286189586,0.5951747703731841,0.5676573700181814,0.5068299466813679,0.5357533508119313,0.44957022234678895,0.567574160847677,0.616340031449899,1.3122778567402802,0.5692650847638068,0.5006483298097164,0.590359566117485,0.7996798149425179,0.4387539788308864,0.7083140370729633,0.9015057165997131,2.489828499080486,3.3853232158667628,3.0804513962141553],[0.5890534390812808,0.46819956605767554,0.5588535224403319,0.40027465544413215,0.45715041508569854,0.4232862337059035,0.3871853560936653,0.29433586855114563,0.20475121589685144,0.18435419655024218,0.19924009648797666,0.2968377714201794,0.24356220221244007,0.20472129838635064,0.3357759932914002,0.27673410720367825,0.3184698232653984,0.27707547860203835,0.29783593170560313,0.3332852298311779,0.34345731804416924,0.391839013929015,0.508304602778848,0.5937882681861891,0.46882566444503576,0.41132256476066925,0.337546682028114,0.2623291687661965,0.2741202865016325,0.28409548206579693,0.30958703004257404,0.3110042721145377,0.390410989090041,0.3304011850624382,0.28203535377230243,0.30293889662886575,0.30557627027268863,0.3340503692962685,0.33656449801174954,0.3633261751521358,0.7046910241375823,0.5022945200046749,0.44026535587435894,0.47778356491775387,0.8155484290536883,1.1575691447769503,1.11407580046176,0.5842378112081779,0.5670581346328822,0.8141687293898883,0.6748103265391306,0.8329957992050556,0.5083756124450589,0.5291450412173961,1.3037952741446215,0.4869615258913516,0.45628103211591803,0.6102493663351395,0.644736711741592,1.1395278144443473,0.4681873755220285,0.5308714539751158,0.44744336651622196,0.5527947337220759,0.440048374824559,0.4108278839729075,0.5443706123249289,0.37560162210600173,0.5012574373635532,0.4805095047126467,0.7678417921073178,1.0026333389622317,0.6004047104717368,0.7103245985154186,0.47232612289083054,0.9847614514842877,0.3491817744737223,0.3571809860094689,0.30249195236034593,0.41913347994378175,0.3461683891251364,0.4638962772745842,0.9738956827526567,0.3749690324182471,0.5983815271895339,0.3528137548712655,0.3532704986401213,0.427555703832399,0.29364231378987204,0.4124196829763568,0.35399747848823576,0.6554159845754765,0.501431661478722,0.33275848780892714,0.3363942010481838,0.43914167760720113,0.5583947827274296,0.3758552904158442,0.3359051376225879,0.4776168100394291,0.327303198442962,0.43742621930133824,0.3520285761333106,0.3713218765357408,0.4649682884347375,0.4328446120628893,0.5361095665015452,0.428113178453906,0.3996523796870467,0.6291317029606486,0.41167435153524445,0.38323677151108176,0.37071114959195256,0.3629718946294288,0.3894738783816339,0.31436984870861717,0.304369336495575,0.31998393575265976,0.3894277706771877,0.3396581497566657,0.2797051521416394,0.2514535051914725,0.26095328199709716,0.25587729780057744,0.30409535677965693,0.40027439326900877,0.3339357781292424,0.3672141168658065,0.41281969352419845,0.48213978025922855,0.48751338035692954,0.4997917700153804,0.42445720642533286,0.4859409112239786,0.42979285328168443,0.42552037089356987,0.582608892692382,0.446638284656897,0.6672539395594485,0.4019819779301513,0.6801838746952845,0.5710819278582575,0.3792211863856606,0.3493476898147965,0.3041959097711142,0.38890921731149264,0.2944031197736378,0.3436724233725944,0.3025339463624854,0.3325373889005988,0.3616098668126368,0.46640393184104584,0.5571180024516089,1.271230145614937,1.0518758463190598,0.39748684042823085,0.34356198328573795,0.3436501810564755,0.323378342332265,0.33306060800381765,0.39009740688187977,0.3269188626104785,0.3366211862180825,0.30975155663201254,0.4847297575223532,0.47152728256185195,0.5393061573937101,0.9057047750290954,0.8367395919506827,0.8284443740506119,0.5244086376120343,0.4199959623083729,0.44575774202073476,0.3410056203181344,0.29725911987430387,0.33304580040297,0.36096447954358896,0.5148597794651508,0.34856905461813836,0.3838491342099013,0.5789587367514165,0.34863898329910437,0.3901977874333882,0.4172103601437096,0.43755901833058014,0.49272999328291545,0.5443649180392885,0.792090625862225,1.3222256746264471,0.8995863650108841,0.9540716698386286,0.8576344787344955,0.7419545112321714,0.6362687140659625,0.5364771924062107,0.5403384979303816,0.7075948295673193,0.5714811020969187,0.5443489412624665,0.7369060422616059,0.5651181602886938,0.5956656963661662,0.5596396957741526,0.48198298057329914,0.5046008344485484,0.5230570062308817,0.46419955790363376,0.44238580331325894,0.49673186899117594,0.4689914873837069,0.46343951840333686,0.48281235386412724,0.5591599966694035,0.650965276567112,0.6067101512162074,0.6449268409616286,0.593138923242773,0.5422515889338427,0.4753972207888753,0.48162630933555295,0.5018131839776411,1.656634475711363,0.7524589386483495,1.3052639579670282,0.7038598056841368,0.6914614228893928,0.6859587329198971,0.8024601406237193,0.620392072193931,0.5646521880556868,0.7263714846254467,0.7480324999648942,0.6273171201508773,0.6156871740828395,1.024258312975285,0.6995086707059273,0.6645418652605403,0.8472419888835048,0.5594074182210803,0.787655372780586,0.73719695852901,0.7839550886807561,0.9282698335376077,0.9341849625060386,1.025831846447901,0.8682617996083379,0.7421438275623795,0.9210217836326843,0.8084941192187487,0.6432330388038868,0.7883557057917706,0.8772575589514493,0.5946327216920942,0.6065915267679202,0.720876273441949,0.7243320578427482,0.5672870399014018,0.570265892210352,0.5266654048584821,0.557350747393225,0.6006721864740997,0.6018974685994625,0.5273662981960322,0.4974531364507114,0.5489124836649022,0.5057166119020525,0.512840926149495,0.5038364735838231,0.5367266428240366,0.6246874115392231,0.5548775160428853,0.5871913187727555,0.665684900306494,0.8790607398383079,0.8678436594264756,0.6877851271622327,1.1366906183324976,1.1497949546379806,0.733053651093235,0.681961048616628,0.5856005426098629,0.5337171010210044,0.9113425624206544,0.573755451209083,0.6230817345816317,0.6177387940418835,0.5569372458886225,0.5559749198739506,0.4970825663645332,0.5641854663122435,0.4560196950505621,0.5656769903887165,0.6350967514634975,1.3532820369589063,0.5466124397917151,0.5223147493188081,0.6643375829568788,0.7726283997968985,0.47770793953332724,0.6725817460460599,1.165438908931861,3.052444318187513,4.2703255749158675,4.2404351998490935],[0.5929503052387701,0.41035936061311534,0.46005597136588716,0.3308176540504031,0.3878019854798681,0.3594137016502607,0.284289499189667,0.2068179666900015,0.19343580476000483,0.12035660626420268,0.18102729018502156,0.31342596260518496,0.172885169902796,0.17601900290858655,0.28331940597816946,0.22961206705924567,0.28477635348883473,0.29098613777433746,0.31859946094981606,0.3388752833919473,0.34895014335643637,0.3845037866846241,0.4904319772640481,0.5768986973611417,0.4299377535252259,0.38525916950173944,0.3071299758732076,0.26998661349522296,0.2946507165045544,0.28494983007958286,0.28788647454399263,0.2821637186990563,0.3848655171599004,0.31556259423514066,0.2627344120062033,0.290909412510363,0.2798295772424119,0.3185190459867366,0.317507501670967,0.32343757915243093,0.6823197259435202,0.4669417515019388,0.3941175296510187,0.48770117256153317,0.7715483026112651,1.1341895953261112,1.048990222598973,0.5657608967483764,0.5767271909352774,0.770090781646853,0.6420818637836697,0.783536892975062,0.48109128243424787,0.48975994290059616,1.3213396257827292,0.5131130552406368,0.4494520826599741,0.5830094913935264,0.6677003324317841,1.0522738459973926,0.42806737251181554,0.5015999271516128,0.4358922306623461,0.5957124494201887,0.419253898780839,0.3960001754845794,0.5983947202133703,0.4171134230461974,0.5223340136695721,0.4720951711282575,0.8261790041389593,1.161955216648215,0.6621326640474162,0.7359262654797148,0.4460563671623078,0.9926680307403398,0.3387264909506957,0.35085432436936204,0.31629466952142604,0.411844206370254,0.35855705328849113,0.4401994129641812,1.0356429220498622,0.4135645486069068,0.5258416350830567,0.3422957862282415,0.33091530493216165,0.4302533148821083,0.299095392759431,0.41615430691081967,0.34200604351138203,0.5968556559011969,0.4394870840382997,0.29272004539558233,0.2897691219985918,0.38834811508501654,0.4611314558454236,0.30485182735056204,0.27743884510790034,0.5133920002157867,0.31605152304634787,0.4346821549119788,0.29012957130686395,0.3558252360449934,0.4387077494711369,0.3989533480479567,0.5610688655799467,0.3365348052461992,0.3207156451958917,0.6494310311616924,0.29523056408918974,0.2632103610937456,0.24942660235285727,0.31124261724613544,0.43101352872066767,0.31414912845738746,0.3302779170590685,0.3098323297138223,0.3974531372495139,0.37323289303397933,0.29481376135695275,0.2589878030317519,0.25911095040014515,0.2603277437147034,0.2607703725355902,0.3476765952873406,0.2684294028959598,0.29196201476991357,0.283345113081512,0.3546527525739434,0.3623723964501455,0.41980640409136616,0.3282153458146738,0.4549935247648593,0.3627866745061783,0.3513568896629779,0.5240895329810661,0.5308991048459646,0.7582615911458015,0.3514596139234705,0.6308951246737684,0.5076448851680876,0.3552832963234938,0.3261247036353853,0.28834674042643227,0.36837863326327536,0.2745800922269215,0.3273921373399795,0.24423642912145316,0.27443389848421657,0.33884280704321684,0.4700632970248133,0.6262542548359499,1.4103731240507524,1.090435054620045,0.4186509548973003,0.31781270188820293,0.32439299556080586,0.2894031733647126,0.295710415124035,0.3037280179694858,0.29437976855128506,0.3034461483356048,0.2749677149048487,0.488232808350222,0.4480134166467203,0.48771017573090886,0.8283812045983796,0.7912102293275115,0.8089142893185217,0.49925559784286383,0.39226632067408246,0.40342467584909036,0.28126992420285135,0.24201780457618371,0.3037741397612771,0.3271983379587263,0.5710797040747868,0.2998528554834145,0.36051361545066407,0.5494731688828964,0.2816070810024329,0.2973511371209177,0.317772986446579,0.3520840045093589,0.4375362404827674,0.4788714831983722,0.7265360170500345,1.261333281606034,0.8176286200382964,0.843219322876825,0.7197574898789385,0.6513365468226141,0.550878556037081,0.44263297998952295,0.4340559633971588,0.6401043852646404,0.39971397951099297,0.38653725134834716,0.5698125154557351,0.40767280380327126,0.45483673801190766,0.40823963722411816,0.35638886351251237,0.40457151080544046,0.43860165660125966,0.40423893460372745,0.3892430215065386,0.4682892295230487,0.440009844549213,0.4605095618346766,0.4847679497406072,0.5686974534637325,0.6819520653500135,0.61947300012689,0.6582783601239308,0.6227435617672619,0.5626035877260757,0.45689715713036844,0.492354330957035,0.4787220171864792,1.7734887454482637,0.7367095786795196,1.3522870718084967,0.6397915037219079,0.6195032653765898,0.6024100925454094,0.7033647265291022,0.5178584097032081,0.45110692492229504,0.6224463395823346,0.6042541780708164,0.5012738227751002,0.464671104943628,0.8915653669343203,0.5397152333392302,0.5600410443230404,0.775845527230933,0.42446250427849874,0.6153401165178309,0.6050758782315243,0.6833351916557829,0.8229891700309807,0.8956269872836569,0.9437055956515916,0.786414981371407,0.6729155644839163,0.8807698786275792,0.7360669775370783,0.5875815182709403,0.7870951649157414,0.8791631389616901,0.5763893414205203,0.6054415240312706,0.7564967357190385,0.749847846344565,0.5840643248493281,0.5961871909625146,0.5270477293496448,0.5309140761566142,0.5331711398789747,0.5350692647257549,0.4795716101656562,0.4392561973677792,0.464172357821973,0.4264371407346352,0.4529687361569353,0.41181582449065246,0.44133873848969607,0.5511244336511253,0.507378203388841,0.48400510608078745,0.5608234119736697,0.7972701974232078,0.8077366933948215,0.641697504912635,0.9589839491980825,1.0480825398210418,0.7583685111915739,0.6611441752164646,0.5806092629510303,0.5188533579965173,0.8906361831987255,0.5573698436075402,0.5809345566349965,0.5820658243098934,0.47584351932068,0.4782387059263874,0.3422351210245853,0.447259205861666,0.33416379732218693,0.47211078343154644,0.6188210556913969,1.4568100589863813,0.46839879800788126,0.5025989334712635,0.7034209170629356,0.7215241737786089,0.476716407021376,0.6564390786745425,1.3255086628258939,3.3628866198592555,4.751656314672688,4.78725513860393],[0.6259915587531573,0.4143271043789705,0.4573506689670711,0.3476399524756082,0.4103048359978771,0.3686170670851772,0.28808897381089493,0.23802007158292557,0.2011056349149406,0.18870200416754318,0.16159663531532417,0.299399013256573,0.2099577015002998,0.2151641167350023,0.33299924947094545,0.27038026687558925,0.3435416315341365,0.35341327772933895,0.39954860630927996,0.4076244768537796,0.4239851646991727,0.4442121643537616,0.564213587007948,0.6672507398861363,0.46340360579388723,0.4364571081202361,0.37744658998337544,0.34138336897846183,0.3480933711692287,0.33767292606132265,0.3427655370298588,0.3115432653883664,0.44061051600365814,0.3567283252165582,0.30651061405021973,0.3277995795565459,0.3143189749848753,0.37461875069523703,0.36704143049753263,0.3543983506033833,0.6523292915853549,0.4788262384977833,0.4329555433305878,0.5309900010781826,0.7600682897423122,1.0827212071161245,1.0079897897060475,0.6115379405611646,0.6108487164994152,0.787753087235853,0.7204046699334337,0.8169550246035033,0.5138947382978293,0.5276424383670556,1.3307947785860192,0.5487995139633065,0.48359293439369344,0.6212485115178282,0.7090016034433508,1.0445731306241384,0.4849376783377477,0.5687439607481142,0.49594592399177506,0.6938689776083654,0.483954042441952,0.45719270292386355,0.6804545605827127,0.49000441358417834,0.5951474497029122,0.5234701302170552,0.8737727496414864,1.2791997521504277,0.7323697056458605,0.814334032748599,0.4765191965064135,1.077514006613996,0.38843697832198265,0.40185193701112937,0.371055844365125,0.4405147825222469,0.37740381204306644,0.47618071601617634,1.1002371343163262,0.4663317508920867,0.548618216649658,0.37249005268047264,0.36422980438416447,0.43867815867168775,0.35055258895818114,0.4580267220520055,0.38557014410587404,0.6119721313224115,0.45880042614481586,0.3418551652514984,0.32692249562426773,0.42358564574645435,0.46812584657926015,0.31997229511298325,0.28622551819401315,0.5575460180759889,0.3212740669652867,0.41442992080070695,0.3135344679330221,0.36046327552455926,0.39116798743123277,0.39798222720756077,0.5488810670845203,0.3257667253171219,0.3124738617837721,0.6584730494417754,0.28182757090281507,0.27232870178218227,0.2611491864608401,0.3335579851975531,0.5117754159744796,0.38982881815021864,0.3798811524787503,0.36666931810384895,0.5058861935591673,0.47330624854298614,0.4121375496113345,0.3671388282243453,0.3416368286141647,0.29974168965612313,0.2548477946187575,0.363303798823459,0.27942470202019787,0.29999435245043976,0.29454913475870215,0.3617022964961296,0.3666267403569785,0.41231026523450615,0.3394302052052166,0.48565160847773825,0.37514125295539913,0.36131776972230006,0.5253836001049028,0.5065959369100035,0.7430148222592162,0.3452156707286865,0.6232168240655193,0.520900362869174,0.4206120145770957,0.3743927040896141,0.331230224685701,0.3993813963193403,0.3220577663704717,0.3502319560008238,0.2714479704790973,0.26341016088887387,0.3314918558928572,0.5135973551042893,0.6347725193458726,1.5078337448087382,1.1589653859514826,0.4441255663544366,0.32566932873986937,0.3237803124989238,0.3170982958450663,0.3195826330806286,0.33842485509695336,0.35120315156228893,0.34271709752271506,0.3354018407923929,0.5315939015139939,0.4667574682375137,0.46761089635963726,0.7888158695612009,0.7363509353789708,0.758673671033517,0.46178404038136994,0.3766497569169318,0.4042642617936591,0.3105616730271255,0.2970452827424463,0.33823575103038517,0.37378166784768113,0.6204987790241011,0.36235537902290116,0.43735038517805913,0.5227007277007671,0.30484537963816305,0.311153077715479,0.3332735068785824,0.363510816573112,0.4353257579247533,0.4675115228646687,0.7344742307891892,1.2266022131763508,0.7827336475184651,0.8237864722229942,0.7684123091906927,0.653712562727308,0.5427117354025883,0.44057173813328226,0.44340306371836485,0.6449457304066913,0.4010082504668993,0.3952341859766164,0.5403725428873964,0.393069614882082,0.4273580849772004,0.38111476195808486,0.35116035700427894,0.3916451469733662,0.42585742512880825,0.4081299225023618,0.3933992448072331,0.46312283291267586,0.4423565908744855,0.4702656478919431,0.49378558727025207,0.5714728984635041,0.7013883438064389,0.6321532974243375,0.662599493420171,0.6403628505637683,0.5736300028644018,0.4663164622660634,0.49658928425052723,0.48478680863584855,1.8479094150905102,0.7478346595340444,1.349969445462465,0.631348967497039,0.6242464242775023,0.6000820207198684,0.7282872400711858,0.5113096412845978,0.44464035230960675,0.6130304330768293,0.6012441962275581,0.4947636193805203,0.4558451940456837,0.8925555949964232,0.5318884382996172,0.5595898529007992,0.771351692856561,0.4285715496851898,0.6074344659343911,0.6152977528305791,0.6864012683115679,0.827062882136477,0.8959638024547228,0.939832163987422,0.7876119418189734,0.6643452287478961,0.8913046879669201,0.7164379151547268,0.5697110685156651,0.7774268620460277,0.8525385067796903,0.563813620574947,0.6001061055335726,0.7575811574690446,0.7365492263780639,0.5889180449022213,0.607621775226512,0.5303934166593199,0.5224113962397485,0.5178884515576226,0.5252425658975353,0.4698526188468203,0.43115103996343174,0.45883084400988045,0.4204558625299388,0.45090175111266323,0.4094399287718,0.4409897104156089,0.5549404917420372,0.5261085309058178,0.48919492559855177,0.56075072584703,0.7942408126919,0.8148072008642652,0.653722128540587,0.9678941987545162,1.0584018261843113,0.7693880263287101,0.6700979493280201,0.5870421814613428,0.5281225040554881,0.9005772277006711,0.5713802847359302,0.5935363683918544,0.5931209118147096,0.4772589099294221,0.48730085528627654,0.35136037578486046,0.4623001757308631,0.33958998299736515,0.43694756073995056,0.6014910896539668,1.4504001139560356,0.4312366528008338,0.5061063451732739,0.736249047687738,0.6707742834602424,0.48580786786696883,0.6638147426288624,1.5122192273344188,3.692961994560059,5.3023230747111105,5.520086804551267],[0.670476543759094,0.48371877017416304,0.5627542517980622,0.46155982563711395,0.5143112337535659,0.4406791118320968,0.3968663765246384,0.3421246090438809,0.3081177948218537,0.3297739292091532,0.3076447028082606,0.4135329617466177,0.32876881686805476,0.32760498441361696,0.3988722328439636,0.387185203796768,0.42456199696385416,0.4054519106257983,0.46367248290856156,0.464334858492955,0.4874928072304746,0.5056548421997866,0.6400373426120274,0.8273490417860174,0.574238175837255,0.5594526647777219,0.48617454137391897,0.4315229591568258,0.40586589404647566,0.4162808408136084,0.46021682405301717,0.4214674043239947,0.5652090806459296,0.46693045637657915,0.399445920248846,0.4133091195373338,0.3970358833353999,0.4398693076728064,0.4622822412034865,0.4423320727372792,0.6829908049516357,0.5369019906367918,0.5258844231456774,0.5593266023698592,0.7974204502183435,1.0789263437952772,1.0836870138999632,0.6462906836316922,0.6561637105670705,0.8590246357087268,0.8183918377953558,0.9271658531187484,0.6052635948471876,0.6309255136047945,1.3297404019952164,0.5894134901213355,0.5265590649614177,0.691506939555491,0.7210091269797738,1.1126649347140978,0.5558145308058721,0.6213271905116422,0.5562879923818919,0.7719686064043437,0.5504821969828023,0.5067135891956978,0.6838402195191986,0.49643421886845995,0.6567726630951555,0.5539087318273206,0.879094848625563,1.2405334451707681,0.6993758089104032,0.869224032361933,0.5314675255686282,1.167401306960229,0.46278245788454886,0.4964944048539842,0.46713876632862034,0.49281280216192574,0.46838428882122535,0.5644145431263925,1.1040537981465524,0.4989399835695387,0.6357718600143437,0.43488936837482356,0.4425564440302661,0.5100234368072978,0.4252465443403217,0.5054107576242619,0.48230181174403697,0.7571337795509391,0.6153987320868602,0.4941268529575635,0.44989570464311274,0.5738775601107826,0.5590006975762009,0.4296290143790901,0.4094760959086054,0.6183296235695578,0.40981889286037537,0.45837038027755433,0.4024272981550313,0.43902295250003187,0.4689499847849502,0.46127106332922596,0.5700941656329992,0.438000735962478,0.4245427823527873,0.6851296096544509,0.3996944988255964,0.40500666502698873,0.3960360352187396,0.4646501218016939,0.5889699934813688,0.50046428821302,0.4926819607430104,0.4984128060545103,0.6042518657497882,0.5302080384927816,0.5070721585840143,0.5216667765810645,0.5275380925330916,0.4601964655101438,0.42523003936808146,0.5180530022278483,0.42281193674163703,0.43993805013112236,0.45555187594246394,0.4652648750945049,0.4762118244761163,0.4895281489884246,0.4702030817886448,0.5023511096550652,0.48392243641674326,0.4831733036533534,0.6340572573459843,0.5839439621348251,0.7504076697736607,0.5160800786879775,0.7508368197317814,0.6816289929709346,0.5358015995558612,0.5142211376372517,0.4534890487151396,0.47260028618230143,0.4326989495443537,0.4333864414801918,0.38795015261263843,0.3745340852773403,0.40618022913595825,0.5632523438255519,0.6572461476275658,1.5478087521506914,1.1626127900045817,0.47776769544689046,0.3977191231660887,0.38582668048073854,0.39263319754030157,0.39843540498207053,0.46493705878274605,0.4258682515347455,0.4721711817582692,0.4496936229788871,0.599820456433723,0.6058663348684288,0.6127930308342854,0.9926070197007795,0.8694221171983341,0.8581684182172815,0.5905805286506117,0.5220019789062397,0.5179206263370209,0.42222250632792463,0.3949383704660518,0.4185779106979815,0.4479636232570598,0.6392092410693763,0.43592680155867636,0.5026694465688296,0.6003801628699461,0.4014258768024362,0.4124493718413485,0.45904851030992183,0.49889885163967124,0.5366621938683233,0.5721315964490844,0.8101618805809669,1.324936397131126,0.8768541788584844,0.9696178409514661,0.9297552940264835,0.8012473020909889,0.6792567309769224,0.5844813315746394,0.5485022920350127,0.6785031202828432,0.5260267586487684,0.5049621459262287,0.6461912266115549,0.5045248405754624,0.5384154794867281,0.5141924292595904,0.4918463799918606,0.512792954067684,0.5432978188639838,0.564070882830016,0.5314042068091791,0.5808565033386492,0.5686403378768737,0.5907712873042975,0.6036617018381768,0.6543116206311653,0.772461212851667,0.7563410239751909,0.7768558200609964,0.7511766998337531,0.6892239717152737,0.5976324178686113,0.6322805510501447,0.6050607630238818,1.79297410137509,0.8066306413964974,1.3686485356682583,0.687178884864078,0.6687508263095425,0.6512909306308949,0.7519879834972322,0.5778078140207433,0.5295782596683305,0.6672027757832677,0.6883295743959635,0.6010138855862664,0.5697668168289087,0.9596089839352707,0.6727936151019668,0.6569255003038781,0.8479211907868295,0.5442989273039405,0.6970336626290167,0.68833560026739,0.7384482368761586,0.8592114808960024,0.9176715391844434,0.9735555648404284,0.8166198124671956,0.7201556722046876,0.9423482072993912,0.7736103641465638,0.6460631921493671,0.8471289535643053,0.9310292427204713,0.6687820559678195,0.6962188299609875,0.828349339241901,0.8219477549006218,0.667008834681836,0.6835035681149427,0.6201496942628508,0.6113211519044879,0.5942572327838854,0.5917257769129305,0.5666459363756314,0.5383451809519398,0.5504991342302263,0.5322699255687028,0.5728227111256567,0.5347307674301917,0.5574289941173464,0.668339317924401,0.6279875324413376,0.6185867175167663,0.6873645730362186,0.9371918592224755,0.9158631053636096,0.7600299510751892,1.0923738347364433,1.1066345673853544,0.8686651659146165,0.7795870930460237,0.7059799279504323,0.6250753235509683,0.9415581336406222,0.6828404092616253,0.7221672027047541,0.6969791311048831,0.6052523669687032,0.5852234340139822,0.47213707716451786,0.5451703253808966,0.45986294701797553,0.5527458061507056,0.6968681500652996,1.4981507015468531,0.5635697021181344,0.6034210642919425,0.7996939502716611,0.7790538262875811,0.574039294772888,0.7382385138894629,1.4046718702493461,3.5008839539932044,5.002376603061376,5.080000783299345],[0.6469985757303,0.433111051353116,0.43100529805324034,0.3618462499993347,0.367856524537012,0.3497071875574834,0.26365936108898197,0.24249135635491256,0.22291144584505881,0.1818248120029006,0.20079205546244763,0.3197453501880054,0.22021337622664028,0.2208692692918831,0.33430892174936183,0.2810796914969405,0.34500809944074956,0.3392989391920069,0.3901746707493455,0.4055347982130483,0.4186210838467642,0.44386005431991193,0.5710497675101749,0.7218040699697543,0.5005518787066906,0.4782877250639423,0.379714805598709,0.3379948836391719,0.3428421381400877,0.34525221018206226,0.3674226888051556,0.3389131661285897,0.49687230952270445,0.397815978199608,0.33604517602695216,0.3436484015561401,0.32853766592901434,0.3810548115103001,0.37933898360907153,0.3671593169381705,0.7000495576131055,0.5098754558358669,0.4580085661759029,0.5183312494061838,0.8057105496839099,1.1348284207037225,1.084380414568859,0.6071568064208475,0.6104145961173921,0.8270318422620503,0.7148261814251583,0.8091428973234398,0.5110263487901835,0.5212337006308855,1.3360864842885636,0.5469207003591937,0.47879066223703626,0.6387626434225621,0.7084053170376394,1.0645446751901566,0.4814902677849257,0.5802644924773798,0.5018141136393943,0.7232349279911805,0.49686227346268647,0.4512307669915586,0.6551814055270256,0.47681212378974547,0.6034961348014241,0.5093249108783195,0.8711288929749555,1.278145592475189,0.7116327605443625,0.8453316902196721,0.47724970030935665,1.1143853862435387,0.39853972352041095,0.42934700716623714,0.3865012297114692,0.4509230087415943,0.3888292373895541,0.485309437735648,1.0713702519776127,0.4443935781870487,0.560819513871726,0.38473547300119704,0.38580451940931687,0.4542149158374271,0.36277948506032925,0.4785805895076679,0.4123653947055994,0.6321603626183003,0.47797847261316845,0.38059936797885163,0.35313973675807564,0.45878503296141543,0.48540665266869665,0.3696472540509684,0.3349072232583659,0.6393360017451402,0.3705326524971255,0.4640250314789844,0.3359241420665288,0.38509587310176213,0.43136561941038315,0.38781897875626375,0.5888183424941363,0.3522635099752989,0.34450278797052386,0.6754978511647294,0.30010444834400274,0.26205492283813764,0.2511874523896231,0.33581588725219297,0.47588722392007843,0.36319111079427085,0.378508802680949,0.3793583143452574,0.525391113670219,0.455766166866347,0.40037764815057614,0.36418272754820696,0.36131690696372626,0.30866113415941776,0.2811686406717302,0.3681212850412772,0.28361007893897183,0.31489757771946714,0.2929936188490377,0.3635422915054165,0.37296453044838707,0.4326810586002779,0.3553786320081306,0.4665279646483134,0.4055752965511045,0.3961323204625332,0.5543779353144728,0.52838103463468,0.6892664387679898,0.40940151276399356,0.7091191959379184,0.5955296941182516,0.4166779184775197,0.37759418888689295,0.3419529441012351,0.41580051769417,0.324588015314472,0.3590071621620117,0.279542385184772,0.3049779602227219,0.38826302153917563,0.5420200398832974,0.7738742487838255,1.6979472079685616,1.1949612788941324,0.5090319730667549,0.36734675163558356,0.377448199776203,0.31746128405285234,0.33277363082473055,0.3363398601028255,0.339785420520879,0.3339989630816727,0.32568481129296223,0.5059813910666796,0.4830484549145533,0.5154699420455278,0.9234386854770902,0.8607064296525009,0.8536547267878394,0.5298114315713514,0.43083075293777806,0.4369896026574755,0.3026553953591541,0.2921265752433494,0.33838443884643454,0.3690501291519204,0.6288344799855519,0.34790913219391184,0.398253554408405,0.548221244214793,0.29692959699793225,0.303776717163747,0.33085221283346966,0.36502297245345805,0.45876543849846924,0.5088854423877487,0.7642218300698917,1.2996240445006064,0.8511174721004934,0.8907771068220054,0.7652593472900948,0.675089219938512,0.5889424435021124,0.468008677098019,0.45939257053456767,0.6414266874577395,0.39473992470574004,0.3904106418006873,0.5473686942085136,0.39224719695664934,0.43162424876107375,0.39766154291303113,0.36813792664889317,0.41135327565021484,0.4352970874606939,0.4410249078040171,0.42315389549716925,0.5061425527202437,0.47105858702847025,0.5081182023335988,0.5388185231961942,0.5953305888236124,0.7022870905327664,0.6904649135892804,0.7067808458115203,0.7039552066839525,0.6239132671083055,0.51197782863252,0.564732610996722,0.5453936896065315,1.8096210971960873,0.7837341842217915,1.4050365765556878,0.635507334724906,0.6192056966898647,0.5909879000224909,0.6687314787365495,0.5205198421180618,0.440632013341615,0.6023338290104022,0.553110452417928,0.4962759734628715,0.4547353801304169,0.8723430300657489,0.5442661482006181,0.5702355792893075,0.7898973197271479,0.4336486582561484,0.5769013192617057,0.5489620980777102,0.6328487743006931,0.7624907371858021,0.890509889290286,0.9059915665074727,0.7422067150187612,0.6545668717140122,0.8509085628864735,0.7073334498279824,0.5926935107033794,0.807157259839451,0.9047857331675366,0.6062755184546421,0.6475964733245309,0.8183088021321968,0.7962797869731643,0.6197575489482648,0.6468335241250992,0.5739398685427379,0.5614904308062453,0.5405164138098753,0.5395839089431949,0.5224659608560268,0.46997786521684076,0.4672689540861991,0.4436041064918655,0.48178389469941907,0.43102082461333785,0.4483947404388351,0.5857315989535784,0.5305107215209195,0.5098192090173967,0.5937459076828128,0.8479344754536838,0.8411762067353472,0.6892622598677902,0.9462630182661073,1.0078286277958324,0.8801197232953195,0.6983978576610873,0.6183879540706152,0.5324295550229851,0.8718169843603396,0.5934742500651171,0.6440235096190159,0.6365943804525754,0.5083667516060568,0.48965067293826675,0.36122458774436783,0.4263338580021431,0.35895065846412516,0.4689292511849881,0.6424790952446947,1.5461580350400952,0.45700599438191625,0.5218325609936636,0.7196814634586126,0.6868463606573553,0.5134187626258023,0.6857374827946034,1.2968508836499641,3.3319654704549304,4.768112894028055,4.707202850311613],[0.6181986020174487,0.3840934268167143,0.3759962070050953,0.3189031387826844,0.35224235802907916,0.3292629657878997,0.23118875300263006,0.2403723351241911,0.18225120211258924,0.17872721293034172,0.2073117034131874,0.32670773846270595,0.22530857214871888,0.2258144712931877,0.3956899942998765,0.30206738353828805,0.3333691893430236,0.3520495526424934,0.37894584475340387,0.3925590075785948,0.40405273102013695,0.40494612483034964,0.5362715185707362,0.6223249613135075,0.41348371548365315,0.3851750378583735,0.33916889862905797,0.3003140932549502,0.3495896523251196,0.35369070499608285,0.356283677639075,0.36455698216944415,0.4622610353478941,0.3895678228753261,0.34188447315555587,0.34535334047554717,0.3529602107017889,0.38016641850167293,0.361418979927586,0.34883531384542915,0.6491229668941045,0.46026410457143424,0.40618044291148575,0.5369677741279009,0.7414394119631914,1.0825410594995468,0.9612209515718294,0.5924164225511467,0.622331885704482,0.7671569260189527,0.676991878917353,0.7783459446981573,0.4930724570490769,0.49290856979718617,1.3148174555545595,0.563642165910426,0.4814275522898058,0.5972129679807561,0.7449335838074652,1.0003548035377658,0.48789725601862133,0.5639900961100045,0.5013121547309641,0.6901592554495984,0.4565064228015836,0.4532192376386553,0.6764641640521246,0.4975060055073646,0.5755860949787043,0.5163407857953086,0.8869318773801965,1.3383316885917427,0.7724359680647959,0.8057235265851914,0.47915071498402395,1.0349219553263131,0.39581198082961777,0.41237988859358415,0.38970664125534105,0.46013748665251547,0.4104027012669256,0.47103000829592173,1.0741650918692964,0.5103363301802424,0.5263051776403308,0.3911171988497193,0.375152752125996,0.47146006393661416,0.36478499355252064,0.48548177405396853,0.38684019615457826,0.5658080178010231,0.4210157408278819,0.3513555776381262,0.3460360039933099,0.40910512023665624,0.46606175257365673,0.35866851668010197,0.333336619625736,0.623626931094424,0.3785986892185307,0.4694433783824729,0.3529624076716456,0.3910282444750295,0.40939245602037855,0.39061307319619,0.6006754856395958,0.3346797063779322,0.3331989573645272,0.6885928940266742,0.27359880228387534,0.24115066389754128,0.23252321733362316,0.3295380896675968,0.49141894408297754,0.36255342128200474,0.34088217801375675,0.3218281498412676,0.4632313398082308,0.431234743525659,0.37243125972851154,0.3066267542919417,0.28790955192179685,0.2799691645891014,0.26368904727375364,0.33775632418884116,0.24483041018538076,0.2938178269584922,0.2533080563109737,0.3177754094083387,0.31099794190583957,0.3870246791120759,0.3114150571246202,0.4856969979950433,0.3747904002549568,0.3631525368337357,0.5410120918517123,0.6117058589782095,0.8272593375297127,0.3407757419393345,0.6085821102080928,0.4730765794761381,0.36651856045604886,0.3341060269192414,0.2976602509554775,0.3754594488660489,0.2885602010242915,0.3527610701262456,0.2766491318926876,0.2841509001101287,0.37619074866414115,0.5364681763107664,0.7568699876326529,1.6444036781869915,1.177653620947991,0.5089208928650062,0.3728713819202293,0.38407854753207216,0.3258726450819541,0.35518239545693375,0.31624863862773284,0.3411119181798641,0.3222309479935257,0.30847918968134624,0.5600368098062914,0.43455131712685974,0.47830973524472725,0.7483371859439069,0.7429353164019854,0.7785337690389511,0.5058277539480587,0.39632914254240453,0.40604203064114536,0.30396557358501086,0.30808506192457263,0.37028109905326084,0.39635760975095097,0.6888852991358974,0.3808725912980183,0.45958395471238767,0.5084399411848624,0.30703725968979756,0.2986283024221746,0.3077714932852598,0.34359569475689034,0.42939999853201355,0.44134236703840724,0.7096558076446905,1.183765882055013,0.7570650722099851,0.7792404141665841,0.6768110832638058,0.617477419105595,0.5244188134913264,0.4145245028843499,0.40728131669792467,0.6205146172676889,0.3340155756365963,0.3399370011982941,0.45431577715271343,0.3536476205774443,0.39945627896307495,0.33906305389599045,0.3282086593591212,0.37570370783664603,0.3922956760325005,0.40519524815289654,0.3861214488342903,0.449766198319941,0.42651226709900814,0.4700655972046865,0.4792654780919745,0.5466942840599418,0.6959832463800139,0.6078878885096226,0.6392403498828662,0.6477322408563857,0.560846360891815,0.4575653889135074,0.5039669453909471,0.49971443699869295,1.9375953265574555,0.7657611116184916,1.3813162387679245,0.6245271005282025,0.6221814587005848,0.5893392173473941,0.699283083887512,0.49006211574367026,0.41785107023501034,0.5919399304136214,0.5481323172579645,0.4715899441741156,0.41401567746766965,0.8447054722467814,0.4604950899149659,0.507896599370309,0.7490644371951517,0.39622228028460305,0.5445723820792039,0.5751085890701256,0.6621570858733318,0.7834080040040591,0.9052006797841001,0.9194524481276442,0.7631958330134619,0.6485340133078333,0.8732185253791048,0.6861514017157623,0.5564993625674334,0.7745297874663626,0.8417942840979807,0.5566186382757623,0.6097936554166655,0.7628092614787845,0.7181400248651245,0.5760251350594274,0.6015500719983148,0.5235631189016602,0.5156873759822115,0.5021288901079052,0.5170462253566168,0.46088218604432,0.422867643129114,0.4552945246781492,0.40760290040227715,0.43897258291335217,0.4037862759974229,0.42432459663812855,0.538000579046262,0.5088501440139258,0.4502194441996369,0.5192710633315518,0.734226041424803,0.7694122238707193,0.6432038196468679,0.8777762899871555,1.0261380863123606,0.7870904090543067,0.6619293008872129,0.5781882538354491,0.531329588579932,0.9005146006204007,0.578116842325945,0.5901715565580531,0.5816077291041154,0.4643811590303169,0.46791183829942734,0.32897164045026045,0.4113274446438881,0.3260408569494042,0.4128304835571039,0.5999345220910803,1.4959769741020892,0.3922820887380276,0.5011317409851765,0.7427912356776392,0.6250254296830764,0.4675823470740774,0.660916544055361,1.5887327102959898,3.827159930782352,5.537133843214267,5.826728595139698],[0.6727982911599844,0.43323944425937266,0.40337817549100213,0.35221208859561887,0.36484425795834385,0.3901714903493714,0.2728009729014675,0.3179353534206887,0.248935818776201,0.2685831010068733,0.3306875905418387,0.429621286029348,0.3619262818985627,0.3916548477215239,0.5542704613831403,0.49934988560960125,0.5150001738890431,0.5474621351183488,0.58897375509044,0.5686358336377002,0.6205445669077274,0.613074841819603,0.777248014015995,0.8775944589257478,0.5863161144940146,0.5874467977220059,0.5333202368167661,0.4738407015402879,0.5102208346691376,0.5003684032467042,0.5664729713051628,0.515504376563235,0.667013497520559,0.5821378771784121,0.5177135686649667,0.5236274708125941,0.4941904934916777,0.5344615335773654,0.5095927415014835,0.4835029724536396,0.7020009589249541,0.6158899516810988,0.5822221214400775,0.6864170605258539,0.867125628358514,1.1120868644063204,1.04987305755818,0.7328325852105724,0.7050261335125011,0.8382277583035279,0.796549551783319,0.8972063421333203,0.6150228359572264,0.6099599667004589,1.3164848573664907,0.6529521400225465,0.5981254256257543,0.6980086521595621,0.8521966449275619,1.1140105663532163,0.6718464226889466,0.7270500801053638,0.6724816433865957,0.904992612124899,0.6727659129919107,0.6393254769499215,0.8641184613247468,0.6928677899231065,0.7776762534861363,0.6936572673010879,1.039059240157235,1.5636804966928959,0.9345140062885786,1.0346480545849137,0.6306242400736962,1.204535015890076,0.6029648768776363,0.6072831569655652,0.5829008195369151,0.6256729130892538,0.5390137575070323,0.5760012907293633,1.1439266449252365,0.6140951279785495,0.617055237362231,0.493199380019154,0.5178623740663814,0.5911082003572239,0.5433537255012842,0.6150028904033463,0.573177012638298,0.6949186799208341,0.5985848460852468,0.563413374549947,0.5441045779424866,0.6092427436419988,0.6511500513774704,0.5286896477741905,0.4710313622252856,0.7811970060186891,0.5098954307040595,0.5614480389505809,0.4761682405776337,0.4734287971724612,0.44951601818072656,0.4504153808243952,0.6337353221398712,0.3876564873248735,0.38637163842972183,0.7257377435523968,0.3291822706429424,0.28700877560094223,0.28522469723610416,0.38163437478330725,0.5966486689969792,0.4729943382415454,0.48227572152712955,0.4924521606294477,0.6766676254492088,0.6040550197541659,0.570994120561806,0.47334591008585136,0.42992764479621837,0.36366583720325574,0.3020793668837343,0.3908113415427016,0.2756484299673825,0.3236359337783452,0.290740452086328,0.3658904919558334,0.3366887279173029,0.4088782447843228,0.35997144555332583,0.5311993240919046,0.4180634594951686,0.40400028443387936,0.5624430727660471,0.6132749513799225,0.835248786190883,0.44819701620288516,0.7282591808431895,0.6288763139953033,0.5375122430754044,0.4666228492111164,0.4425479188713818,0.494605798337277,0.4012717169705184,0.44231251909528585,0.3507491737318671,0.3339963610738396,0.42485193316815995,0.5768818129392854,0.8339095685805413,1.8283273150771457,1.2577531224869984,0.6329569058652983,0.48078994249456164,0.4725133473737342,0.43316361160672584,0.42236915670884306,0.39300013674345774,0.44542142188032663,0.4360704912010907,0.43671210895764373,0.6483533667152562,0.5237481950032509,0.5214496419157955,0.8211416250729618,0.7752529767528683,0.8115887369095255,0.5362334862608944,0.46346307772106204,0.4730563402330255,0.3824027360133248,0.40417962454681966,0.4456065558971502,0.49081315217702093,0.787916879821648,0.4916089957394761,0.57055362553294,0.5289249308119226,0.3814996886502043,0.3717406489812662,0.3736653937490237,0.40426053081132024,0.4986927547287171,0.5132111787448332,0.7635913462682706,1.2008716670246327,0.7896977505863919,0.835349300550166,0.7531385537120037,0.6670948965481796,0.5663837539134307,0.4558278906240079,0.43300397225807646,0.629898043773974,0.3779592206007502,0.3816026205195342,0.47871045414067465,0.4130410293971094,0.4624142473604073,0.4001060206267199,0.3870380626721031,0.4380535926344552,0.4479981621450247,0.4435339524363724,0.43725860635094643,0.5075323965858457,0.4773460317579133,0.5232129474191609,0.5367087954810467,0.5915106349895433,0.7135396279244203,0.668596472583788,0.6661189309876244,0.7053143079109597,0.6029073079658823,0.504242191976286,0.5722096213504737,0.5682007532855208,1.9937545733412618,0.8128665085320974,1.4134360829680086,0.655271440265303,0.6614177696390426,0.6427444139815912,0.7361308508188417,0.5356695504482004,0.4683456389826148,0.6342180606214163,0.5814786757761402,0.5059230381912831,0.4554509171254397,0.872282476706467,0.4958371482625125,0.5394935238410712,0.7708517761131785,0.4449405062591151,0.584175176697842,0.6260019354657235,0.7144220594045047,0.8332107280510475,0.9559754766975624,0.9571296918972769,0.8297304765233467,0.7010170046324601,0.9370609308778858,0.7339751301005024,0.607088014514554,0.8307422477901303,0.8833475367289366,0.6213908706028936,0.6793347389267755,0.8284013605469349,0.7594832684898892,0.6410714901830694,0.6782946029900476,0.5912403553084273,0.5834578159595079,0.5504330438226659,0.5578136009178034,0.5245563543725763,0.4782489431107349,0.5151723283893137,0.46500827408026335,0.4842020874835704,0.4464401924616988,0.4665966067279705,0.5676139706850803,0.5267643519709779,0.47623631910559505,0.531789327874489,0.7550841402309453,0.7751948347470229,0.6581796407389606,0.8905829836579582,1.0106036598799324,0.8496302340251614,0.6845974634266769,0.5930053631976692,0.5425753293660014,0.8835480765328625,0.6033829563600009,0.6275916091980588,0.6138003117480445,0.497875534675383,0.4863671162568939,0.37118976789085206,0.4273122303379304,0.3809888601710168,0.47238203374452425,0.6509928318272427,1.5161415552325348,0.4475763472066643,0.5594940617630857,0.7944828763591932,0.6712567550097682,0.5027840691636524,0.706510677825442,1.5709374978949224,3.816707583782369,5.625152020565586,5.982247407627306],[0.6665267085865649,0.44820692572195303,0.42148435943881046,0.4016873837742729,0.39607615442818794,0.40353969002317835,0.29605768129780263,0.27728302530488064,0.2320836157194498,0.24767589624155997,0.3046962792857899,0.41955894045361725,0.32710832413001967,0.33700703319760605,0.5055854554837849,0.46260067361472246,0.47833276702231947,0.5017964322755524,0.5484264371180717,0.5362149879558861,0.5808785809227921,0.5770986628241493,0.7396371975882075,0.8798391526161493,0.578702392945107,0.5777852536050267,0.4936577890862544,0.4365761033903029,0.46823886497532596,0.46478190922413387,0.5535760192882577,0.49540435021454543,0.681311471050257,0.5926222249659794,0.5087363658136563,0.49321896870902193,0.46303974210099647,0.49649371694454186,0.4682421281567152,0.4493510909826034,0.6888830790088899,0.5744024458888664,0.5443773013644221,0.6307476982114832,0.848757505327557,1.107482219374955,1.069064345268928,0.6994017859176899,0.6605622243640824,0.8457157646034179,0.7845433848968595,0.8850847429837246,0.6042094232545466,0.5918062218230831,1.321035454620048,0.6322712811394636,0.5710581097356449,0.6895939286719074,0.816176588502236,1.117796730382818,0.6309710482476484,0.7135482712119534,0.664399697884041,0.8991481655418551,0.6612686605182673,0.611630860278654,0.8241071084940913,0.6604930056210505,0.7581487277005249,0.6541078595368767,0.9854681910669404,1.4727978164832383,0.8733495903483185,1.0137042445004698,0.6109918469855714,1.2433777568240238,0.5909140258080322,0.6151128341449579,0.5743767690512336,0.6000826769996938,0.5179635569723896,0.5582876096697159,1.1338035359326342,0.5877666981970566,0.6056436473492386,0.46581935925670925,0.49123199519751765,0.5722932942142744,0.5124489740301692,0.6163797891057943,0.5785058781681506,0.724311055209345,0.6255675110694515,0.5946917886620812,0.5523312461771127,0.6465388148365786,0.6541691436800445,0.5307551779155308,0.4666226104524319,0.7670877877035143,0.48718875716728344,0.5305192709610298,0.439010026674771,0.4303496572017344,0.4234320775822427,0.40430284452569876,0.6226854054861861,0.3410260891235035,0.3555041622164447,0.703024454813787,0.29820445413915975,0.27352183720696616,0.27321198756662435,0.38116533692831217,0.5673097663486618,0.44891996675708906,0.46224961634038175,0.4738058126800473,0.659026433701474,0.5880676441154546,0.5357203377761444,0.463430938970259,0.44415445397876785,0.37360118155579763,0.32877679919270947,0.4064834395649575,0.30050579468549476,0.3378588405694469,0.2900786982416944,0.34069815402949355,0.3491866857570227,0.40505230332240344,0.3419618900799781,0.4785164827357696,0.40956029705763747,0.39895471566963364,0.5935473017563476,0.6076172153826066,0.777392671903928,0.44445279326991793,0.734408051846749,0.6498696430997148,0.5120720568479087,0.4589764399243372,0.41859369593400114,0.48233803848270784,0.38380439493924023,0.42473763982341045,0.331590021824776,0.32761671851905483,0.39956055238740157,0.5470388862888348,0.8497491053148268,1.8399546513535243,1.210484626662957,0.6029843666902307,0.44409455183735064,0.4273507873377209,0.3954732537761022,0.39127230995317364,0.37680055398634904,0.41764946795410984,0.41757462710153714,0.41701784224245964,0.6052560836358936,0.5137309823397429,0.5412857477399342,0.9225964358448542,0.8687747896283963,0.8723196309085899,0.5559532789697064,0.46070292713682,0.47272127962749294,0.35876230508989465,0.368337036922271,0.4067204398896548,0.4608642418166729,0.7509677991089919,0.4565025669341153,0.5215027606270336,0.5349532247532078,0.34618544606859614,0.34571354896181594,0.35741203484172046,0.39383842146229864,0.4705956901300251,0.5129403713387555,0.7667780963662358,1.2403146347308742,0.8279459991946428,0.875662294155531,0.7823452260973758,0.679065294824912,0.5753990696576611,0.45292459281021935,0.44813367411355876,0.6456986575838273,0.3778789281088484,0.3739707196233475,0.49039587842259835,0.3742656969944342,0.4074711893534129,0.37089228477963027,0.36732666071466,0.40458812544648015,0.41888017526042376,0.4538948493235994,0.44239682985176193,0.5143056572696869,0.4927187171751914,0.5593535757957808,0.5796301466972164,0.6223934489856451,0.7336938369188891,0.7401420294118952,0.737597438355161,0.7691503984332592,0.6761517002741113,0.5536358669423983,0.6214696369082673,0.6119027899774357,1.907448488222182,0.830284132125123,1.4460822133515403,0.6454764340737011,0.6248569486305081,0.5925609528991188,0.6650251132526346,0.5208347092791313,0.44766943689283245,0.607258769557671,0.5651576288464625,0.5331637507351119,0.4651494183412699,0.8473124955194581,0.5429422854229249,0.5670877160075725,0.7815327465795362,0.42858317829034065,0.5575765917117956,0.5468674543533002,0.6569737898281851,0.7643327794486218,0.8944862953771979,0.8873643603652407,0.7554641430556351,0.6486526759452028,0.8530212853686083,0.6803485373838638,0.5871479400389147,0.8161224232261277,0.8900765686878127,0.6124396380545521,0.6762171986195804,0.8461924007492057,0.7867445870024743,0.6523373653658329,0.6861054172124597,0.5998874147361042,0.5799650502735557,0.538351461168794,0.535715875407864,0.5465252436911808,0.481302460375883,0.47817798115651566,0.4704443021481983,0.5125307297798868,0.44368266304002335,0.44987489364424044,0.5946746384072024,0.5429132015620006,0.48632851532738713,0.561538177321488,0.808858851000137,0.8204520637267527,0.7064914943170582,0.9292023423759049,1.0055794297149934,0.94296644067981,0.7318235882626298,0.6306800183634073,0.5674392568570682,0.8720947773012893,0.6454989926648839,0.6862633655958795,0.6597316260125273,0.5448289414692226,0.5234222112539851,0.3569412760641619,0.4256347313056863,0.3558629280162329,0.44930294820382527,0.6363078201781351,1.5368386013283668,0.43360517276909055,0.5371643982866814,0.73611749707225,0.6547966005703227,0.522413593691668,0.7157699852135949,1.3722784097006737,3.5186415478045525,5.159208455439125,5.29093709360067],[0.7145305593895928,0.4674782755981147,0.4229908666486514,0.39067922564471397,0.3763495199410209,0.405846983398926,0.3045853514506658,0.3729914487752275,0.3133131071915555,0.3106276199919177,0.35818994911899465,0.45680341435288263,0.36480475231927356,0.350321887094226,0.516985364446382,0.4524503788818741,0.44925934091014147,0.46311174795195514,0.46083355150201266,0.47155104966798794,0.48996439092892313,0.4941270800086407,0.6275080746759323,0.7302682923843555,0.505372430725471,0.4918504979780261,0.41642863643251515,0.38402512555810653,0.4400256389809368,0.46905883891516414,0.5160851748837771,0.5032205614845814,0.6504558617706048,0.5592185322470076,0.501126414249878,0.4733995505262825,0.47013794967046735,0.47793984734626144,0.46105204043635434,0.4491028616684308,0.7354436742863216,0.5520510880475538,0.5093677568118813,0.616569773766014,0.8334822270171137,1.1521246498733655,1.0541552934602407,0.6630114821066777,0.6901150266699972,0.8279846973637358,0.737273250949369,0.8020915152451917,0.5642008347564446,0.5440398730238295,1.3676077671555888,0.6279595851436816,0.546945898217021,0.6742103411841406,0.8322338059328074,1.052100959434465,0.5636970933854816,0.6299262902557761,0.589717056417185,0.7750004436892429,0.5537704809530909,0.5261062208232917,0.7618008686563077,0.5965875591561243,0.654360412256203,0.5742034636939282,0.9356377966112491,1.4180297414830125,0.822211219129931,0.909103659298251,0.5532823037609441,1.1575809420784444,0.5171873594120114,0.568177831472705,0.5232370121798139,0.5737522304216988,0.5086309808987962,0.5752247496645657,1.1149946298018447,0.5644611431262968,0.5993268063285908,0.4842693980994459,0.46744090906757374,0.5662047525772742,0.47537412786545236,0.5966274192636851,0.5210995572351473,0.6560852628941524,0.5700966025539772,0.5372965359341859,0.5151212991922697,0.5870079876957031,0.641252133388609,0.532093213042009,0.5048642840448168,0.7932500717885822,0.5415225810097088,0.5882295170300571,0.47721199463443403,0.4854911327425382,0.4883962641868221,0.4593792541989136,0.6876181491986513,0.39761015893475565,0.4149211348748551,0.7532966917085343,0.3606958917536683,0.3223770357142423,0.3158140723159569,0.4288266471757972,0.5328938431042007,0.4187146935974705,0.40301652961691925,0.3867466667649481,0.5422027337746554,0.5109686534657985,0.4262791111013725,0.3828551434970248,0.37095939860359645,0.35501088757071814,0.36575364543430267,0.4139187051880813,0.319971070453632,0.3624991999732952,0.3242667766404665,0.3869892886478445,0.3716633667221563,0.4389097058809609,0.36980836550887536,0.539352941847257,0.44526970528907206,0.4412686923688608,0.5949825343391568,0.6782108794245746,0.7930550761341469,0.42639216673088803,0.691441269825297,0.5773843197119373,0.42287474926397617,0.4134937188077547,0.389241060556654,0.4620996678031803,0.37959839132941725,0.4447567338697488,0.34707813992176073,0.3431581330177957,0.4737910586256015,0.5987622927999078,0.9806121141074031,1.8821282546235107,1.2020293787282237,0.6656529615408452,0.4890245272095583,0.4839644119959278,0.42371978297191004,0.43722559693548235,0.3944448276820464,0.42894597752611485,0.402253349257229,0.40592140348926564,0.6135262255313847,0.5072505604072423,0.5974654819092333,0.9119625786351814,0.9204325989291494,0.931393867168763,0.6425156720890008,0.5008221278537318,0.5057589692683665,0.38830882768016894,0.386429089825349,0.4499202234985393,0.4859788465612304,0.7564478043820451,0.45743635722800563,0.5274542997622867,0.5689380501595254,0.38133095715379867,0.371491163696128,0.3743856565649365,0.4111942444167397,0.5338743949207642,0.5457192521167153,0.774159052307231,1.278639400732716,0.8584850718899392,0.8562613858405275,0.6726562372998531,0.6224056721937012,0.562644844839039,0.4597466808574761,0.4813624238397748,0.6451696795966997,0.3933213881605165,0.4100803740512677,0.4941976474735993,0.4061741872274265,0.4428925563639758,0.40205157096296246,0.3916912420901081,0.4316201596856919,0.4364462853893053,0.4602819282841433,0.45201428952777034,0.5339201225632185,0.49164808257429277,0.5530439996570199,0.5738969027584168,0.607697849243033,0.7262234934729873,0.7134655145304113,0.7098662723281115,0.7546668523152722,0.6622464639504654,0.5681900333339742,0.6371786545090401,0.632493905760312,1.964858580740109,0.8557556968745578,1.460763302260494,0.6692487214733096,0.6703513301424197,0.6288075858971715,0.6846595415272015,0.5501320205110677,0.481176981900247,0.6341697531895581,0.5559293488346271,0.5536258721617855,0.4790066451617042,0.8262898917370554,0.5373793182967994,0.5545700651032249,0.7943709085659145,0.4597742432372271,0.5702840939261488,0.5511377371976466,0.6549035023378795,0.7625927242454725,0.9452948755582037,0.897388430412365,0.770945849657814,0.6754043595285001,0.8531519406206097,0.707047560665402,0.6303908917599153,0.8450471786425647,0.9164701702983106,0.6318441602673229,0.7039603296376298,0.869306583023306,0.8084474707677264,0.6653923859735595,0.7086811542820954,0.6236081582125631,0.6102044967039437,0.573448855389883,0.5786322797619105,0.5672577958853972,0.5109126608845331,0.5278726604927034,0.5051569057911094,0.5283741332476182,0.4679659912150973,0.4794028813025775,0.6188338353379959,0.5553685095521844,0.49605984647522894,0.5537082195670504,0.7536483787331696,0.772342100567336,0.6769296774560588,0.8474367148561928,0.9792073882364334,0.9480080564783449,0.7148668160505451,0.6087941912121585,0.5733537724177973,0.8737482507422041,0.651717526756697,0.6848302208453667,0.6155706634112317,0.5167732400103847,0.5187897632953437,0.40577236669015854,0.43377172657622315,0.38121718746107636,0.42020465730821255,0.6145934019436307,1.5459118771661071,0.4161349222885246,0.5191985935693191,0.696758773209192,0.627420907055085,0.5104932950300577,0.7009117499703005,1.3624039231600533,3.4837616837118226,5.080516388079292,5.142919067318374],[0.6983025442832986,0.4356685826455306,0.4215723040133023,0.33757935788221155,0.3332333554301415,0.3645966473554254,0.2699762871411525,0.376016999354243,0.2857099523054078,0.31552060653173536,0.3994983822372602,0.4930849997060175,0.41039153987127924,0.3944062418630824,0.6103914752746108,0.5236245726829641,0.5081361982447613,0.5443918793847411,0.5542009967799925,0.5639034676711385,0.5941267012244821,0.5911657600530297,0.7184075977937406,0.8127711333160006,0.5640551684914781,0.5590715460519362,0.4874578743570258,0.442992578449069,0.5199519811428097,0.5278747065749858,0.6126494120364449,0.5702542937531716,0.7356292174236562,0.6677637418981492,0.5985718241095587,0.5649572119126733,0.5411385498110635,0.5444391426257104,0.5129802533482823,0.4924485972441405,0.7334837941698885,0.6016634091210081,0.5669412057525942,0.6730396604000795,0.8268494908663824,1.1167718369601989,1.0136317148655944,0.6978674196594346,0.7149729815109994,0.826232481214599,0.7802182110932964,0.8371694828639508,0.6189910089795349,0.5964206952217632,1.3536486929346214,0.6911092859417767,0.610273624653874,0.7200441557654963,0.9042596698723813,1.0782048136046003,0.64606964734245,0.7427583993811641,0.7131915047482285,0.9304182718756971,0.6642930239028915,0.6365698068253273,0.8562719737132832,0.6997641211016852,0.7538751528965048,0.6766808198913133,1.0235792235626824,1.5393415549174938,0.9432218132095633,1.0344899774540435,0.6455036898971831,1.2221155695596617,0.6286407030307811,0.680418815064974,0.6341127326338936,0.6670552361307847,0.6115322977788847,0.6082534949617311,1.1324760795747604,0.6418116944144788,0.6264662460845698,0.5348925812298726,0.5457627654580928,0.6428087872837722,0.5869783883629943,0.6856548065051714,0.6280594355985152,0.7202817758783463,0.6632123833745328,0.6453541929377891,0.6161771481491887,0.6748267548032452,0.7330992792399581,0.6265430510282783,0.5867777928707439,0.856282131433083,0.6159064062601427,0.652047030135125,0.545303689713746,0.5405532026373723,0.5167806622220082,0.45229002832371595,0.7255196203571852,0.41254463460097,0.42402250692857324,0.7373567268222765,0.3550113830309137,0.31144420921977395,0.3075713913450814,0.42800629444870475,0.5795578556865798,0.44844253517052207,0.43735200041027794,0.4299221260464837,0.598622076013725,0.5558813999878996,0.4957601429129739,0.4301958023503946,0.395703721551398,0.3652027142841047,0.35467117517819813,0.39576185719956986,0.29542966735836385,0.36206410301313974,0.2978159203355868,0.35222185610583767,0.3413391993563632,0.41107100727254814,0.3485956097294711,0.5545987265628047,0.4444216837227128,0.44027140824071287,0.610605251648295,0.7078837829262757,0.8240488453119569,0.437737725460909,0.7108932731612979,0.599096676278386,0.45581403324326464,0.43999683713078475,0.42567657509679113,0.5169456862466132,0.39205318434487724,0.47822364036209924,0.35464142334028875,0.35134073141569283,0.4863650932973238,0.5978250044852862,1.056342854998296,1.9361911895587234,1.1323531989301843,0.7169775475752573,0.5308964333266029,0.5217383442746085,0.45835552737427304,0.4677678636514643,0.4029997383644184,0.47039756338858996,0.42753668507377224,0.4412079763700355,0.669321233771701,0.5084380154972481,0.5964533069219454,0.8898695718656217,0.9039685952811408,0.9253766350107531,0.6465305813603154,0.5103216346037615,0.5255306143023895,0.3897108603003793,0.41250792405905073,0.4860832671926841,0.530065865041565,0.8472620351812116,0.5117877849880128,0.5882031402368871,0.5385845726755358,0.3873323046359166,0.3692970033983939,0.3662789970145737,0.4003394581188097,0.5088030677354649,0.5294681277205692,0.7560852093086435,1.2471253502272228,0.8594070050383382,0.867151328209859,0.6893602681200603,0.6319996021677394,0.5590962428045423,0.43852900233541725,0.46425487015514716,0.6475172261323592,0.3751416923171164,0.37595671664593433,0.433119792196244,0.40035864197136556,0.4402852525136624,0.3713988781767855,0.3805879956344175,0.44941701198512235,0.439392732699546,0.45967887976503546,0.4676694560920147,0.5546130600227507,0.5108373178876653,0.5823511953169822,0.6117207768772324,0.634134981230375,0.7583488771762276,0.7622748981297693,0.7293168916043511,0.8024755865988251,0.6995196799029202,0.6045997297341321,0.6926693940454097,0.70748829543683,2.0698630142162564,0.9269986289493959,1.5071439805324554,0.7007386635897643,0.7080245560335375,0.66029218508495,0.7199604514897605,0.5739471627265625,0.49367456086806744,0.6337465561569275,0.5553649215301159,0.5739362917664176,0.47227793719078937,0.8317451123350413,0.5262321445502742,0.5505693917775356,0.7647758725814009,0.441514071323047,0.572991209369773,0.5749652046766718,0.6779261243727861,0.7708348261416629,0.970264353460062,0.892317243686809,0.7923921753100764,0.7189847828856122,0.9037356181952314,0.7270859997502264,0.6554936333830366,0.889263326581829,0.9381364551612941,0.6573451182099401,0.7575611327224633,0.923022678125596,0.8219695074771033,0.7077521181372399,0.7691479249569418,0.6722822408543747,0.6613169354280858,0.6167156846692048,0.62265055582724,0.6189829583845631,0.5362540453210188,0.5622805296969904,0.542447933496522,0.5604855149475853,0.4840257726619335,0.502313549824487,0.6341000587968213,0.5787145695631635,0.4904049668380495,0.5593804153266213,0.7615380022899558,0.7679280407754463,0.702255063589242,0.8523272474604754,0.9699549693151823,1.021080595955371,0.7532456156262398,0.6325606004153673,0.6115362474270586,0.9000130309720337,0.6969087272959367,0.7218631427954154,0.6251230292251514,0.5034515528772078,0.5036696922105628,0.37763590394592,0.3772764977226488,0.35169742136527693,0.40710565088887785,0.6395845074659204,1.5318298355471924,0.3911829553595265,0.5383432494965554,0.726526001400348,0.6061449472910271,0.48528926534280775,0.7620369580072908,1.411946270316428,3.5169122818264227,5.2542044656078986,5.519071049656361],[0.7174389678565383,0.5260875541932648,0.5863516804103457,0.4157552573798365,0.4196922210347425,0.4658703676738072,0.36401605544085064,0.4459448183701994,0.3590027668843311,0.36540246039927443,0.46257185278654894,0.5654925188110268,0.4920977700946284,0.4363383297900836,0.6899865333374267,0.603238527736629,0.5296801474528056,0.597814431144667,0.5839769735444226,0.6136462006105085,0.6279167418182819,0.6243821894520784,0.7527380416768185,0.7905047880529584,0.5725664774969439,0.5684036479414468,0.5167368732816112,0.4818924033723582,0.5726486056327424,0.600357014112053,0.6823854079848654,0.6725402278316596,0.816536814302492,0.7832536079371977,0.7018684531515578,0.6530629497580019,0.6470946150961161,0.6303415865037798,0.5750900633311421,0.578602252292497,0.7981941846926003,0.6493666216310668,0.6179229089945966,0.7018816624502557,0.8273146808746459,1.153490740591944,1.0055023240202952,0.7055049614622394,0.7864933708631405,0.8664375781040158,0.8403323849567966,0.8296169259454286,0.6995693222624565,0.6551538667979877,1.4391092605141875,0.8203305451592918,0.6761698463361163,0.7963303885099922,1.01111028828204,1.04402518250124,0.6900356428035419,0.8100695867658321,0.7944218312869147,0.9976353347338273,0.7156995946180034,0.6947792849536225,0.9076951044964149,0.7665836859949143,0.7767102731850246,0.7375672081987241,1.065318675596587,1.622768636263626,1.0335289923689754,1.077100188853433,0.729525347308862,1.2438252181216762,0.7234332867212939,0.7803165749328701,0.7383521479241093,0.7611335204016765,0.7131722045167344,0.7156650982145988,1.1529277794574995,0.7836007789023293,0.6937290930460118,0.6415074334823716,0.6362993234084249,0.738224321151236,0.6749055270188227,0.7976147042250147,0.7291759053763487,0.80027903176349,0.7628801681417671,0.755207226355957,0.7096987109206803,0.7632548494653743,0.8089567142809401,0.7265909737051133,0.6927399847107163,0.9392436911256413,0.7362944733534436,0.7428458584050365,0.6609998280273054,0.6476347034873683,0.6382379723379082,0.5691765256298652,0.876486751291004,0.5292819443814627,0.5231355551729567,0.7616388713118534,0.46327099162641927,0.4107184892871042,0.409366947642653,0.44000523454770246,0.5461153965513895,0.45117729136412266,0.47345072803654903,0.4214194216123413,0.5829725865985325,0.5855333630996995,0.486352843920111,0.41800149825871896,0.3914376720014473,0.39342468640949835,0.3795579045559581,0.3917509111033933,0.44454647902198896,0.43421285962535955,0.4152323849780216,0.4624095737979541,0.452697914655059,0.5728927702215597,0.4570617999165604,0.6078666888194834,0.5019161005426289,0.4791963713967085,0.669216298706366,0.709706494284629,0.8090325338288227,0.4377134186652902,0.6611526041085131,0.5529086657624032,0.46095220394735015,0.4526222297646646,0.4706302475569923,0.5321377586920004,0.45781192067503923,0.5081242864671688,0.4402285450253543,0.4399387844206213,0.5549556680457552,0.5976554795695855,1.1527297818538917,1.8315501162548886,1.0339263451174234,0.7895080811324859,0.6183838160786844,0.6203620661687437,0.5501091677326251,0.5545583847231798,0.4608250510097921,0.5223446463865996,0.43874565519069236,0.4886075092117055,0.6751923363564929,0.5150461420902301,0.5870114659758475,0.8258286302307525,0.8900631513721918,0.912268220590969,0.6528683596076569,0.500773809708711,0.5222229331701097,0.4660233736243826,0.4878304304352373,0.5618420905674001,0.5998961068260457,0.9193697077687147,0.5799174249408116,0.6945038738234911,0.5954520355273465,0.48876874111733193,0.469920911814209,0.46530325548519325,0.4836065012826875,0.564655211879212,0.5866788178327739,0.8087298878094783,1.23223975935289,0.8426766298699429,0.7910728437506432,0.6996701424993935,0.6562291955236078,0.593347710431129,0.48970978671188503,0.4970739474613947,0.7018802851112355,0.46892428345903714,0.4594740859234171,0.5464683160434936,0.5419732010512973,0.5736619444333946,0.5048589421936462,0.5013281275795387,0.5808187557611736,0.5520640599517124,0.5551059137959317,0.5732373107565188,0.6561861613341388,0.6022242931031336,0.6803135248953919,0.7321407520012897,0.7330539707551266,0.8496585815827443,0.8692033123550168,0.7996228842947195,0.9094578229910476,0.7841173147660986,0.7064961763399762,0.8000050491313627,0.8381845848898034,2.2939142199097584,1.010663168737,1.5057317572844582,0.7902328237002566,0.8389054973940978,0.7895771058569127,0.8407367492267362,0.7285946295956683,0.6250304294427684,0.7276423522971406,0.655133983661074,0.6735648365958925,0.5800324613036155,0.9162989514290366,0.5760342227097531,0.6054257467061946,0.751514909892429,0.5470322229413381,0.6836873256887414,0.6877141185765405,0.7823848650945728,0.8478587750278199,1.0677370478451502,0.9579374904781113,0.9099378324436169,0.8369229946919183,1.0136363665477486,0.822592153332922,0.7630550030697261,0.9846907976255743,1.0045123545137644,0.728905106156671,0.8608335415364887,1.019717747893442,0.8808572864665509,0.8058821408068941,0.8811372760562387,0.7999621433528865,0.7888095895264062,0.7558537030585933,0.7690140420377212,0.7630396871229023,0.6550188779016527,0.6839777915605284,0.6756007728785683,0.6725412419400301,0.581657874685829,0.6195131431978453,0.7050533169655664,0.6432006201615421,0.5600067558370868,0.6684292105703918,0.8409699635302755,0.8137259405216707,0.7735077892175821,0.894301765275027,0.9758827744043174,1.1001008970329142,0.8360924607561271,0.6897293600315413,0.7102593315586465,0.9621965861319547,0.7935101005989826,0.796332304201808,0.6851342704760145,0.5912975288726859,0.5740202527301499,0.45552031400192805,0.45922509902838504,0.46078688647676336,0.515309098170201,0.7049215895417229,1.4701822589376905,0.47509302190281794,0.6054725875117262,0.7240974083599263,0.6594164422326383,0.5469958261192958,0.892376943557632,1.4342575694441995,3.356753180985818,5.144116530329039,5.631371766124239],[0.7620795570561838,0.5089051154270696,0.4869074651492544,0.4132899973841331,0.4031084406938065,0.41917953005979375,0.34499020252738644,0.49431246052304156,0.37796157307110345,0.3678103461544554,0.4525975500503822,0.5577960762500834,0.4703255646250465,0.4250133459083184,0.6413144351027671,0.5605249328627325,0.5303234951168365,0.5764822654739298,0.5756361884886654,0.5828624520710466,0.6154130980939253,0.5981978991110157,0.7509679977798202,0.8106646952146469,0.5736346263089286,0.5697651039439957,0.5099171836549833,0.4760772355474706,0.5578376406397593,0.5774631856636572,0.634994570202226,0.6239596183832999,0.7809376900283933,0.7204425673230277,0.6457579463030404,0.608775384824983,0.5922764375879405,0.5887052737906528,0.5445196693969747,0.536900556092246,0.7543637117002838,0.6437127111470078,0.6035681371747962,0.7174828157552069,0.8607022514990172,1.1572848106068492,1.0409994978512176,0.7272412849924111,0.7346070039265137,0.8281962068360853,0.755826171540091,0.8565022052966553,0.6431201457196656,0.620353135091309,1.352354091229266,0.7201405154562348,0.6454214755302943,0.745291440801058,0.9392412517369821,1.1006589625216348,0.6749146466531929,0.7665404647634496,0.7486712905209287,0.9497802339308425,0.6869296588740246,0.6639005893345655,0.8735975777031071,0.7335962070892854,0.7671649261940167,0.6976536362415859,1.0340711697218714,1.540623740528507,0.9557013737464978,1.058469218267645,0.6817203296426342,1.2489293797361802,0.6721302528081361,0.7237866294125744,0.6765127797710205,0.7135625822353207,0.6650790396677675,0.6485311742582103,1.1462180608640362,0.6850457146787121,0.6395531179263175,0.5806490091911152,0.5861698578422396,0.6926150924864627,0.6271166364847816,0.7315146127762695,0.6744224473950516,0.7349932900872337,0.6969797760990365,0.689186769837836,0.6546469162540999,0.7048234495800751,0.7711250842885594,0.6751442455485178,0.6486153713111367,0.9090846037548321,0.6984472124094889,0.7547980490906854,0.6419949743081722,0.6462985245345226,0.6316937740473525,0.5643237154819334,0.8598944818948121,0.5560223185037062,0.583914270313914,0.8148400020382623,0.5083215522462198,0.43131327771765,0.40329857835399024,0.48946103111662725,0.5848387400388801,0.4517880865596549,0.45778001621004266,0.44259327574879553,0.6066653607734097,0.5597270751542524,0.5116786458029581,0.44385263012039355,0.3892708522078203,0.3880876929723046,0.4113648327048742,0.4232514089339285,0.389134699388373,0.46969898541980193,0.429745844628451,0.46198713641957173,0.461462673707731,0.5132214779518327,0.44998020321390114,0.6534092906601929,0.5079271539497827,0.5231783023725578,0.7066086831623299,0.799239740815885,0.8404791338034289,0.4611383010806717,0.7112759665216769,0.6231808099725615,0.47471503208538113,0.46444175779801766,0.4547028176450928,0.5454341356232866,0.4416935530920014,0.5313800763739468,0.42801892885255577,0.43640929167791775,0.5975831876512842,0.6557948293102352,1.1692284988225428,1.841255417306527,1.0451133172688047,0.7924454721763989,0.6156838049031637,0.6201975750402169,0.5431473450675585,0.5605124524825287,0.4688170936567468,0.5174563488827247,0.48695841105434773,0.47514067170711055,0.6997884731454783,0.5326746125199462,0.6700083503315295,0.9370921114889258,0.9788494896601291,0.9825633056942725,0.7391939885915972,0.5752333912598837,0.5744886583507935,0.47657771414036676,0.4847768359388348,0.5588827142860903,0.584443180333147,0.8998700686004807,0.5495000781922286,0.6645854220345804,0.6238302002500267,0.4849398163248801,0.47345488625829446,0.456029749980265,0.479951365116112,0.5548897433871695,0.551906485727072,0.7627365361761621,1.2250796434484543,0.892006285030603,0.8747525530772735,0.6655768610712087,0.6695376215476175,0.624480848960929,0.5080309652924897,0.5561855135892141,0.7268918706900885,0.5161130860300187,0.5172596529299128,0.5052788743972813,0.5526024147202031,0.5820160669524438,0.5077527276146571,0.5441184625942372,0.6173210905456084,0.5887315595676978,0.6075761986001214,0.63597644855893,0.6962533017682413,0.6530352653158764,0.7328336783717394,0.7504627624520211,0.7538843271078263,0.8832358228463079,0.9058210088515637,0.8763896029711928,0.9352399534967499,0.8781826889083877,0.7713029173236915,0.8669949821765526,0.9098650770992784,2.1631366482802674,1.1008813933958912,1.6065505665810471,0.8487030184822248,0.8781852714341303,0.822530433814389,0.8535622831718697,0.7523783837391116,0.6575994230155691,0.7487180980463841,0.6670174196316279,0.7306390217209099,0.6120300341375444,0.8805882056085433,0.6774684134174083,0.6673455893161193,0.8265621646507552,0.5735272521209969,0.6849950587958593,0.6908505070837172,0.7857514035410538,0.8301066170239824,1.0788718882773713,0.9715697776152254,0.87213329310388,0.8368303890371162,0.9820298610306374,0.839182434206001,0.8000917018003324,0.9950590910608971,1.035256335548016,0.780304870974797,0.8979943040558451,1.0514077656406635,0.9241921938965969,0.8403786303592637,0.9232342188736701,0.8266541097802507,0.8150307561260596,0.7686427182222534,0.7830323312568235,0.7871152547574201,0.7013852144009353,0.7067123169171143,0.7237995708348411,0.7349696393332362,0.6452998250688394,0.6748318163519857,0.7844179616803771,0.7441837620273872,0.6571804142080274,0.7501316764762106,0.9011449226967004,0.8823076334649025,0.8261615620195201,0.9622656831172538,0.9949231420380492,1.2203301903139512,0.8893702770076138,0.7648203422440635,0.7436453252882439,1.0109030439492406,0.8294048029621683,0.8523643277394775,0.7081187077559643,0.602519663093518,0.5870771183527231,0.5322944491832154,0.46084515160181994,0.45433005816577005,0.5273160165006942,0.743639581851067,1.512004562965256,0.5096036273609428,0.6337714295315989,0.782513259937347,0.6888253332808705,0.5396663483509987,0.8494332306568572,1.2611415042889076,3.0148070883840195,4.524086904307452,4.706223389056886],[0.880842850305423,0.6566770827645839,0.5825030045323992,0.5150785296843555,0.5239838153721836,0.5115197600032168,0.45018448599235067,0.6309989660351566,0.46820362096601487,0.44209888547028653,0.5432455210604276,0.6739420536845105,0.5891831844845242,0.49338729586046076,0.7518330880263135,0.6678967857853254,0.6047812229150954,0.6730599030562606,0.6371357061860092,0.678546626508962,0.7004587809511343,0.68722680877058,0.8087445263445928,0.8418881107917195,0.6063356324067127,0.6039551143143852,0.5846914556155173,0.5299054249767321,0.6618959058875946,0.705030834578226,0.7612872072638792,0.7666752045951614,0.9439859583514544,0.8956514949603385,0.8144862757942256,0.7491506437363258,0.7430259984740466,0.7069305549388238,0.6550279976668115,0.6668964429417188,0.7399879927091904,0.6997100713564035,0.6863329698125913,0.8068017408671395,0.8683893255584119,1.1317615261191143,0.9998836426970347,0.7943427956896058,0.7617044951831716,0.8225628540794141,0.7984312162574088,0.9676000604612967,0.7893985900005731,0.7576035762502733,1.399901343728857,0.8505756360980232,0.7523639419874902,0.8478283723589863,1.061910270697869,1.1758435919865005,0.786345245557788,0.8758555234679158,0.8767564057608982,1.0759138863376712,0.7785709943169106,0.7703230853397854,0.9909870638240377,0.8268891674348587,0.8294173603476077,0.7850026902256833,1.080395385233302,1.5965816304151033,1.042861409104987,1.1168254716853423,0.7731629487983218,1.2818867109445438,0.7935314695172196,0.873125026423106,0.8309279662079266,0.8576214622204145,0.824894628520293,0.7956447039573974,1.2730597386977929,0.868997697735772,0.7336526175431173,0.7209980536823181,0.7270487701190804,0.8445044619085775,0.7852098687964639,0.8977006869215354,0.8218462802726783,0.8583655620709287,0.8426947539404491,0.8441195954366547,0.7931831258832096,0.835137561207202,0.8729630354963649,0.824354900412476,0.7982761556212149,1.0641677695689522,0.8769546160885135,0.9453230004872227,0.833411894916959,0.8361280214417718,0.811417082775747,0.7553802391392044,1.0308742557463337,0.7686737402734272,0.7782071979659584,0.9742109453311698,0.6982401584348458,0.5819304082365094,0.5175314884727256,0.5647651763984627,0.6522689713097041,0.4678925614797374,0.4889111100978313,0.4516142764712678,0.621635401012885,0.5976276748563727,0.5316776562102598,0.45131046665506686,0.37535117204258855,0.39539083885234205,0.4548157337263315,0.48631772293834064,0.49909925682848244,0.596946478792578,0.5992217594522252,0.6245891442518365,0.6289788862312682,0.6600317787240227,0.5953425331349321,0.8202215154087954,0.6409505153932863,0.6392372057488612,0.8145714782100419,0.8998498990614051,0.9100363842640836,0.4854259627127901,0.7032177248310646,0.6015870555614,0.4978266133625974,0.5083299624835916,0.502718511236658,0.637907394139765,0.4888796120278528,0.654514602951646,0.5607503028619868,0.5604429314040505,0.7526097383495012,0.7929697610638898,1.3129579792919637,1.816771320349046,1.0921110916926247,0.9608216512458633,0.7811401709830968,0.7993165766010983,0.70556136849955,0.7305170474415542,0.5788364228982256,0.6605587943726787,0.5777822266200642,0.5838022571415737,0.8178509546852898,0.5698202158835246,0.7363486009380862,0.9292273731835444,0.9939097261028478,0.9940796030100835,0.8013647176192655,0.6458087230946585,0.6733759260197163,0.6132555084686407,0.6303487998854729,0.7334985298471812,0.7522135051778434,1.064422883662641,0.7399017616567596,0.8440627888871378,0.7377578673897822,0.6568086278731035,0.649429892990736,0.6178866745684969,0.6105982573126536,0.649555865359358,0.5967365031108733,0.7824530357383005,1.1844169200929746,0.9023453328896269,0.8928633364742751,0.696425181076367,0.7237728987943769,0.7024552481323091,0.6385576756265993,0.703558938808342,0.8370360032206283,0.7174602578152657,0.7217679218514071,0.6774449833670468,0.7674730150498676,0.798845245049612,0.708756806284484,0.7514852280321093,0.8388512608116495,0.8021571676754884,0.7957972436681694,0.841211156992767,0.8932315054472212,0.8584269561453423,0.9230304061065682,0.9304360678443017,0.929697456533784,1.069742432584924,1.0713530878565796,1.043721562595145,1.1207795136234888,1.0690019432404103,0.9638771846566411,1.0460225377545413,1.108929344192391,2.3382325560712625,1.2895262168104296,1.7238480313748803,1.0538718644713447,1.1099384348229362,1.0510143915358638,1.0990516246194988,0.9705025396382544,0.8762836187576499,0.9332182429475536,0.8857044342842699,0.942612920113304,0.8237994448351631,0.9805804078273701,0.875367011150059,0.8398571372371498,0.9533901433402838,0.7569925784632495,0.8822957202921309,0.9113989859952065,1.0177271813474058,1.0600276933078805,1.2790199897252208,1.1654272538580772,1.107761103955865,1.0639362428165198,1.168315658994413,1.0538215995078788,1.009660015370246,1.1732180520613646,1.185664524135297,0.9754068047128371,1.0783333493467757,1.1939855963543076,1.0485955385141987,1.009860497545435,1.0967391960049933,1.0109584150882929,1.0049332985532713,0.9738962282550949,0.9910978842251641,0.9864712393093051,0.9018044300066284,0.9066735289185458,0.9322509333767341,0.9307028911794645,0.8488564333769841,0.8876248448730796,0.9680073205687575,0.9433105176926352,0.8577760949426217,0.9551531237005393,1.0598899552852066,1.0497869185486135,0.9946497341782393,1.129889921775657,1.1221635308656888,1.3924920282749453,1.0653136270756818,0.9435335156367047,0.938206944130888,1.1805452268718086,0.991510651757249,1.0042022396856098,0.8378831719575001,0.7644869661083734,0.7417232654733045,0.7391390696309585,0.6130471848728453,0.6079735327202217,0.7123194190018367,0.9061457513363801,1.4824714055007089,0.6970712198673281,0.8027313960474982,0.9619771148851655,0.8476488891245083,0.6567319669736628,0.9562050503316321,1.3991501402650763,3.0114183463636994,4.5187359428619205,4.8812519693190675],[0.9712215823612051,0.7656966829194274,0.7736904456808972,0.6580747493856268,0.6462463650617827,0.5853744719183901,0.5422365000316937,0.7165405750009654,0.5530139101141179,0.5305161789764801,0.5927504220736819,0.6908146365102227,0.6270328604117313,0.5718067730175638,0.7673851432719481,0.6866627117156328,0.6400258370000773,0.7005377918911799,0.7082776222362682,0.7182528665533449,0.742508088541453,0.7292947564427584,0.8757264654067742,0.9470068472712445,0.6965703032858951,0.7054821764236289,0.6631100424820514,0.6264537585171733,0.6922865347307399,0.7212468125038919,0.7421338729221755,0.7493127470335603,0.8987032683529025,0.8443201767636208,0.7834680503158168,0.7428841626270754,0.7347905649743156,0.7261383179630316,0.6922871744023897,0.6899492491155511,0.825048096491598,0.7499439485742535,0.7176586039876678,0.8357966371153283,0.9492284721880485,1.2079568283976143,1.1048499047613662,0.8362411047780701,0.8190707145867078,0.9033044286781614,0.8456402041608118,0.9873916116212604,0.8034399511437347,0.7738931819172398,1.4247123926355063,0.8595632933282241,0.7611316769519673,0.8568344671023589,1.0490752519742041,1.1672539046817476,0.7777833214888188,0.8747551652502241,0.8522004183143771,1.0752129202230907,0.7999889262353709,0.787954906746819,0.9877466721275024,0.8344975409470733,0.8999385212700077,0.8082631026684718,1.1299111905101782,1.6473278952763137,1.0604645662238483,1.153338902941708,0.7766368430525373,1.2813202952578855,0.7773003580223965,0.8319168687941182,0.7931457499710225,0.8275800478788687,0.821491703629093,0.8032080724957816,1.2763636153283342,0.8508786546532925,0.7604946865308161,0.7400015813029351,0.7374024618581531,0.8302468556304875,0.7654316885897657,0.849544959138508,0.7840214894154957,0.8075144195148468,0.7900897200637521,0.7901688980204662,0.7569665833087755,0.7973497814665266,0.8469626156574351,0.7830514259050226,0.7847983173924987,1.0345263535192177,0.86317423044231,0.9636455365365472,0.8286269762358756,0.8617696625250384,0.8519640127638904,0.7894634606821562,1.0713189979441196,0.8537401015803802,0.8870221778908557,1.0405636510234075,0.7808959916095181,0.6467309369118915,0.5943462991215321,0.6578163380062952,0.7710249586352732,0.5941071629380406,0.6344983422571382,0.6150896175325974,0.7201556535335081,0.645093841113873,0.6370791655173035,0.574925489677883,0.5373155897462418,0.5134974547145376,0.6036410142845566,0.6012232357661748,0.5574992750725618,0.6767639355264149,0.6770374275351135,0.6829089007525513,0.6894388756623282,0.6664147425365395,0.6722998300070795,0.857220141299133,0.7309447111487456,0.7463426920211398,0.9278544556993464,1.033914634307547,1.0216486268212026,0.6030328320636743,0.8552777386010447,0.7459649141692996,0.6120827046025352,0.605779738726124,0.5959419777754098,0.7030254669124836,0.5403118580403613,0.7129228953089177,0.6182323885648976,0.6241776555224143,0.8256882218316615,0.8542251349771193,1.351302291118258,1.7983005316747558,1.0864391402016083,0.9639762561927264,0.7945197243625018,0.8293100525728079,0.7182099392819303,0.7581191210520677,0.6439967188963249,0.6911670124506684,0.6609596235443078,0.6404543136840395,0.9144363797355509,0.6719253177109661,0.8692160627062713,1.1385287941490738,1.186029439049608,1.178559400562276,0.9377093534847496,0.7730051911048067,0.7821689510736596,0.6562721879339831,0.6641983571005781,0.7600789554638905,0.7647474271017554,1.0560818044883855,0.763431138959633,0.8293215446175229,0.7600505510854604,0.6874982351185476,0.6777788563646368,0.6600806193172885,0.6626618873689046,0.6713106380621051,0.6498300990113073,0.8476921812153664,1.241241146081757,1.0137482578963137,1.0201636841027732,0.756922209745499,0.8251524983265583,0.823828208156201,0.7522932132772561,0.7930452727043173,0.9848005738958601,0.8457544611125658,0.819377272963269,0.735848271272336,0.9121819215742379,0.9408142543244804,0.8183425511459725,0.8771218832374476,0.9950542391485429,0.938628575465688,0.867793693139526,0.9881511688205125,1.1142705426041841,0.9799009164304021,1.031483991521646,1.1310832867782645,1.1139427137754285,1.1046188462375701,1.2184513727755157,1.1650781318900845,1.2601977876389172,1.1921253816692452,1.1413763744436927,1.2940310947640774,1.3586141739411737,2.313469501178433,1.5299074764599019,1.9593801485641211,1.2946652801796676,1.3171498647533093,1.2426963385144019,1.2235260531878183,1.1903456335861902,1.0590193953928728,1.0691549453377673,1.0447114899918308,1.0999945090707102,0.9518568198030225,1.055918145538501,1.019530789688642,0.932334853277212,1.0906494871309793,0.8693916948603756,1.0049517789473983,1.006879933936027,1.1336386757477517,1.161797538501302,1.4646782681665957,1.291795934440906,1.172016160274939,1.262356441102795,1.3577129615283823,1.225939076040513,1.2349748469992334,1.441331558957858,1.457412223560967,1.2139291707951763,1.3715804165716206,1.5070771797909825,1.3399727034970654,1.2732066566103868,1.3907150661124354,1.2891226759358174,1.2835138720323396,1.2219175413529288,1.237145847403411,1.2554184880150012,1.1256650256900196,1.1091652619965244,1.1693719127131907,1.1437964709682564,1.0196296318696147,1.0790842573945183,1.124259209896968,1.0575604531647926,0.9822716169345567,1.1211232779547613,1.1047038592991947,1.1052090670598675,1.0591114941063506,1.187647779517747,1.1800396802078545,1.435415229892886,1.0966786587954998,1.0165864527396746,0.9547865787199137,1.1322290884928223,0.9825566759174144,0.9994415251900165,0.8648452742643842,0.7749427585976685,0.7934902507028742,0.8103172814871735,0.6733528567837828,0.7069340838130513,0.8136854616930563,1.0386696181819368,1.6410920551894947,0.7983906096830085,0.8921017476264249,0.9999385451121507,0.9091368463438639,0.7131254973144979,1.1156871543345728,1.282682490625102,2.7619378638480643,4.0021593960160295,4.238276059902784],[1.32489695577878,1.186084419323136,1.0012018316338112,1.0450751565627792,0.9555464389487256,0.8763252648487705,0.7523139121218672,0.7609071350925208,0.6332878008848679,0.5808621848358663,0.5945929831085829,0.7309292162479952,0.6519817511504614,0.5866729246087223,0.8147523902203648,0.7238864539818349,0.674584046907513,0.7344133478435187,0.6977239397916194,0.7052687673998803,0.7369645433246721,0.7316468769383149,0.8303642687336104,0.8728313108630172,0.7009636294746378,0.6809990837684545,0.6380032365201453,0.6145198567231107,0.7107333842452211,0.7687618563703058,0.8478919814294101,0.8693938716943794,1.057324414431364,1.033686385906947,0.8994485168965553,0.8186041687387096,0.8268792904823605,0.7608744884407286,0.7218585279736068,0.7487448742140298,0.858101106832172,0.7211290795705921,0.7214370638126846,0.7947597099549812,0.913275159831612,1.2709499568039455,1.1279898095647984,0.8261110880513889,0.8588108548534018,0.9322887440546109,0.8877250910763249,0.9954524313986965,0.8746852765674207,0.8166891066212448,1.516284492935528,0.954169144438042,0.806245615564279,0.9452328614420833,1.181702626711521,1.1840249109064198,0.8164073137275871,0.9757675689062502,0.9746618157878844,1.1546540114316266,0.832926456886515,0.8270377805836078,0.9901281299807331,0.857321231213331,0.84446376795599,0.8294674781618807,1.112981484492818,1.597701906760823,1.1012466341025227,1.1831209354622392,0.8818986245890643,1.3538710809541123,0.89878972604541,1.00952203588062,0.9444787106702547,0.9509348766029279,0.9320680611690941,0.9101408702030227,1.3657539157659782,0.9907995515421177,0.8356679977396262,0.8206520415779852,0.7928891315934169,0.9399781598026143,0.8584315322891977,1.044326852197753,0.9436088248956372,0.9758678480131967,0.9912613963585868,1.0055581441105126,0.9127560601192869,0.9815581792144809,0.9645887793945683,0.9445447590524925,0.8918791774035829,1.1679048843455053,0.9693040257505617,1.0426941297847758,0.9053766106660928,0.9494199886253679,0.9726434165354098,0.9176314918933165,1.2146992211947472,0.949698095927828,0.9607308349829419,1.1007239208771156,0.906218177085124,0.7825140754768035,0.7196194840527239,0.7181068687644594,0.6881991288227204,0.6190983246124823,0.6279639124442193,0.6331273553278703,0.6922620294002054,0.6823763954627254,0.6297971562355762,0.5836331685995209,0.6557416237309878,0.6736540705615806,0.6858860961127715,0.7444608852761775,0.8440143984467136,0.8476826721337025,0.8839624796839898,0.8535294196968771,0.9521107875813926,0.9803427066088347,0.877280317670263,0.9762470944242994,0.8758535222033488,0.8462400075489263,1.0591119409797671,0.9377714175366031,0.9125971470361808,0.7284755428544176,0.923527340828907,0.7985357966846957,0.6605120779697068,0.6750136603740937,0.6494768112691369,0.7107608048872301,0.671348477309245,0.7335580512947945,0.6971450558302781,0.7044074491457388,0.862104839469652,0.8493926559030105,1.3893854342162024,1.7200043848838278,1.1115724488451102,1.0308234399710174,0.8530438677472031,0.8992223311208752,0.7925124750579797,0.8321882387482981,0.7089719310572319,0.738529251854222,0.6943698431747017,0.6951960075881918,0.8511961278814388,0.7888478489597684,0.869102856673151,1.0146993032266172,1.1243820610740132,1.084543268527027,0.9553767302021848,0.8073452988324992,0.790389236714005,0.7611416803074613,0.7417646484421445,0.8503035050224081,0.8315237947726093,1.1620185974839325,0.8334776770021779,0.9311385445768364,0.8777474418260288,0.8212897787757697,0.824002098591008,0.8113286001548227,0.7975488201117249,0.8254614472063633,0.7681751078159739,0.9678742636095016,1.4297736246163948,1.033451388955741,1.0043539155746868,0.866213278975447,0.8784916779890353,0.9095755663194796,0.9200707683720738,1.0015919519587613,1.0360131796566585,1.0032686209450503,1.0788088146042851,1.0324699225130016,1.054654003056814,1.055568397366318,1.0046865431458607,1.1119915294914702,1.136479996338982,1.1056853403091336,1.2320823087507213,1.2268285130643348,1.180864092584808,1.2524918238766751,1.3693119461344887,1.3240511316664205,1.2959502374916856,1.5291296986633767,1.5509083186744363,1.541986866569285,1.5849448017407612,1.5736345766875022,1.4155902211213665,1.4090339094512678,1.4503214001470732,2.5308858181031537,1.555667867247459,1.8130400649487355,1.2907456400943527,1.3363510821363258,1.2679524286539958,1.3242071849870813,1.2288654313211496,1.1649802812670593,1.1987702120065584,1.157972753474239,1.2517239806992382,1.1594958633916097,1.2344304924399736,1.2302821761146208,1.2534094387470212,1.156705296089341,1.1163854444255885,1.13136636213698,1.1454450976019521,1.235697398187376,1.243205355946247,1.45464550462482,1.3134825754593995,1.2677457255165905,1.2355648474920369,1.3000520408108016,1.1903265996781738,1.1911829749328031,1.3296164806138056,1.3280378441866556,1.1777034146715488,1.2893441462187667,1.3817616021624792,1.2422434080689508,1.2926196365274158,1.3641184341246622,1.302726432286803,1.2647186556285401,1.204761362839645,1.242280814081136,1.2839142685082454,1.2142645024731866,1.1859733930403795,1.2587320626520953,1.2913524476516813,1.2217304015787118,1.2496657485857974,1.373851282206304,1.3944808696558484,1.2960322350471816,1.385093471260297,1.5570365888890585,1.5213283511857532,1.5117369481028273,1.696048026207736,1.6963412356305467,1.9188250269880738,1.6636058561417078,1.4691227818227088,1.502693476801925,1.820192823887505,1.6108407052594906,1.6407138619360673,1.404725537014306,1.3012607545895416,1.1998547508197686,1.0957805152290014,0.9907488219099435,0.9869760108407027,0.9334285965669644,1.0533356547449135,1.4492221384917068,0.9335990074619129,1.0674210636961918,1.1354096229706667,1.0269955275051794,1.0431917954504502,1.1562957125048463,1.4229230564924833,2.4317655688529958,3.664771161740171,4.109247147340615],[1.460923510048895,1.3343314434574687,1.152864584582582,1.1491801113768951,1.0798483648971733,1.0054554139316794,0.8763899606464198,0.9659718406993019,0.7721910584591338,0.7016616187543183,0.7730381446923794,0.9533551533841592,0.8483995229456267,0.6956727098091955,0.9419005049728872,0.9460769945799831,0.7995824879325677,0.8677098749284878,0.7837918599301353,0.8675842286755564,0.8519422300451951,0.8494267657246963,0.9280940295876511,0.8755200206759061,0.723862123925592,0.7141454741487931,0.7615507325731896,0.7233937108366695,0.8799422060974023,0.9640774927795923,1.0549018200830724,1.1243642020680482,1.3125270729620204,1.2909144152378025,1.1752877656175746,1.0372259937125952,1.0724572551868328,0.9540187156860557,0.9209711718475164,0.9702304560049305,0.9297557693598371,0.8836588593657736,0.9127015783287772,1.0341332992567276,1.0432257807429859,1.3317779496775286,1.1655331814162178,1.0224338666145,0.9729787583153395,1.0259064227747223,0.9997443848121719,1.215048488978027,1.0912877305591764,1.041226072025986,1.5871507168770491,1.1478705817663815,1.036410485398161,1.1378886244951594,1.3463876418248728,1.4169794086762595,1.023701690274724,1.107267148396699,1.1448794327881184,1.2084120525882092,0.9572947845102076,1.0058446380545165,1.1257164042700578,1.0199490438360452,0.944194093994072,0.9604729106240315,1.1611115203460631,1.6201207688125396,1.1625027035560935,1.2134618178631906,1.021343323148835,1.4225970935066976,1.0838478271929832,1.2267644940006077,1.1705612328131756,1.1941351893760908,1.2026713464525567,1.1133787149787209,1.5149041285988238,1.2270053741474871,1.0135565736856216,1.0312817794884348,1.0151622318127969,1.1859550702291324,1.089195667958007,1.2817822873381246,1.1480217438811513,1.2083057947677833,1.190912186806899,1.239410792852629,1.144998969096909,1.175276230547933,1.1602651633907775,1.2272287493281062,1.1685889883360188,1.4379560394828301,1.2868636478840028,1.3889176732017585,1.228166102244338,1.2434590887631878,1.2174878943643497,1.179738960742089,1.4435049076835187,1.2529580330935166,1.243146493169341,1.3233910828330981,1.1570224132180635,0.9952328389665941,0.9039784256477363,0.8822229186197325,0.8010869162486461,0.7051586131184374,0.6983014221737314,0.6645048257369282,0.7617722375061314,0.7696338573209521,0.6684833604069449,0.6207749123048406,0.6518757430106158,0.71823977786456,0.7687563501901724,0.8724723439320398,0.9951501097101801,1.0486358236063191,1.1092109938873074,1.0918135834543758,1.166069907153773,1.1899087939569943,1.0974017935310765,1.217156247944807,1.072504619667573,1.0405772079262594,1.232950757570579,1.1379278251282778,1.0299405402697128,0.8366553210818132,0.9222744140392257,0.8104577058601082,0.7518731612994092,0.7888690396995943,0.7705911131830256,0.8659786356388427,0.7901852970448262,0.9121228418891913,0.9043393239090859,0.9015817079963346,1.1069739550967688,1.09256107980471,1.6804054185886936,1.8539069429956276,1.3935489428017167,1.361301337585255,1.1376608646019237,1.178838884547832,1.0681768785763939,1.1008227138872786,0.9375958754005219,0.95716396520052,0.8812512588954265,0.8837008750748118,1.020644781780267,0.9419481350827937,1.0625580742548117,1.1142549370501953,1.255347048905863,1.1719700993253699,1.1305526762147804,0.9769246320320663,0.9869538647362956,0.9932569870544712,0.9884070534880474,1.109406861278033,1.1217074493889903,1.4474080537273832,1.1135649590786731,1.2196390383798315,1.1139948807586217,1.0772180996346645,1.0901101400802966,1.0596034081014638,1.0080600145195795,1.0090308510682948,0.919632868548369,1.023914923204717,1.3728983917051434,1.1598152650533389,1.133882781476432,1.0043787974723593,1.083006117564908,1.1094311403123576,1.1358178108938795,1.228863741410075,1.24524710075098,1.2639759364836314,1.316096244074441,1.26305727929442,1.3356561949712862,1.3461587605826748,1.2662489673507715,1.362050961915873,1.417201428660551,1.3711735167480539,1.447031737555475,1.4710571199405662,1.44733449474565,1.4869487410444122,1.5990980501477696,1.562992212370744,1.5377451601923553,1.7552953831386902,1.7859767561394926,1.7646385061803536,1.8301226109919586,1.8094338286019949,1.6534777698795804,1.6602327201290392,1.708445946478163,2.6949397432588236,1.7906066821128925,1.9806019505903611,1.5631845511912426,1.6158983915433063,1.5678990906032475,1.60516559751861,1.5162035386574206,1.4539125919910292,1.4747417524854887,1.4490763403945242,1.5224061251836145,1.419266946257419,1.4557817554919825,1.476264440306235,1.4757931377439248,1.4318903894712607,1.3641666918985704,1.3981387267535752,1.4298627644417345,1.5085398847355886,1.5299469575052753,1.7674886484478176,1.6046380411149572,1.542213978486557,1.5533442744050125,1.6102925617693498,1.5384180034318171,1.5168645151659501,1.6451050406268826,1.640174029348589,1.4723244547240955,1.5795776049572305,1.663635127083921,1.5096781755080932,1.5514864540191708,1.6344950981465334,1.5612003438186721,1.5468379751106043,1.5202739200207596,1.5435179324796413,1.555962216515249,1.4931963117985514,1.48895285167496,1.541382572559032,1.5519583547028633,1.4744182842877307,1.5230811853949615,1.6082962341565337,1.6240256794246293,1.5300705328703095,1.6394334548549845,1.739444655686126,1.7312587216575055,1.7169458252441818,1.8825865336984264,1.8826546566982354,2.1155173142980517,1.8660790992045957,1.6782053946088877,1.704800432910482,1.978984852285957,1.772928712707477,1.8004403672450284,1.5623893151290573,1.4720416968545762,1.3654530901473023,1.3307810407685796,1.176581843258995,1.1837812520557573,1.2061399955432246,1.3282223859083828,1.5576212618901626,1.1755778347420547,1.284349940381212,1.3813585676585445,1.2592443255083114,1.1865578381409734,1.3197168808883661,1.594885268608221,2.4348387079772587,3.4855525891205468,3.9332696113486647],[1.4244636559840913,1.3330603942538708,1.199655686859002,1.2125124254809405,1.2362419524044441,1.2185504174910693,1.1172551347455533,1.1290132057616922,0.9552785840684731,0.8452439395681262,0.7634926058034568,0.8610868197486019,0.8623183830015982,0.7480942957876427,0.8250325303828334,0.8314564477110032,0.8229537619207229,0.7579930873597466,0.7412247540655725,0.8019146988799507,0.7687838688508692,0.8190758881300807,0.852634475529801,0.8852040661580107,0.8348304190755962,0.7944469254231609,0.8131912460246714,0.8122638946714649,0.8271289046885352,0.8611098433551869,0.7966552147458338,0.8963745530050444,0.944059112622678,0.9037290181521587,0.9013138848547781,0.8426383430981672,0.9164739659832477,0.889836939274429,0.9316364148341272,0.9802377638976195,1.1547022464941061,0.9496447709358161,0.9217847625189791,1.0109940940232685,1.1832715982445021,1.5540813730576073,1.3932421514949365,1.0912599510693393,1.1126091905640425,1.188110998360445,1.083854247184538,1.1668699679469088,0.9550243949443281,0.9515107838579613,1.5462873810923234,1.0030940460008744,0.9398540402688301,0.9211306976284881,1.0923795305366308,1.2380445746136244,0.8720259952657092,0.9129243412199329,0.8660027697726176,1.0131593000042838,0.8475500398645933,0.8369344896087024,0.9333174998458356,0.838193161611158,0.8398486005031099,0.7616325708876021,1.0928375181541439,1.5770668929196205,1.0056324492523825,1.073918233137249,0.7396369240195243,1.2803246240149786,0.7919618818033751,0.8481839244658532,0.8642281366550721,0.8979843576334336,0.9225181474660819,1.0054362882448529,1.3199279268900461,1.1199715253538323,1.0668302162746623,0.9806617454679913,0.9207539857415963,0.9883077560040304,0.8431586413445571,0.9128288013702714,0.7924054697122855,0.8271585892613151,0.7749427103672528,0.7971744199438331,0.783091359100919,0.7840538862360465,0.8396576606538155,0.8541474715805562,0.8985094439831612,1.1370406810772014,1.0262281742386181,1.198976100879841,1.1092043955887632,1.1947652671731503,1.2227017220712313,1.2613198409183306,1.5170487435886713,1.306930184964619,1.3241796422268117,1.4119701249587797,1.2823808067667208,1.1830756665400217,1.1152038492452316,1.061978868170958,0.906610129126138,0.9048822521496549,0.8430877919902271,0.8318345521881574,0.8071131679590979,0.7992932712691707,0.7308327125436509,0.7294018530573909,0.8102637934010479,0.9049657689465894,0.9516662760573378,1.0446220800125428,1.2185104615619655,1.230240176452381,1.2891897261262906,1.2738920598825076,1.3415430802543797,1.4083522167385523,1.280897679126861,1.3480497699833003,1.225171750290649,1.1799593457067101,1.3318062453576016,1.1705225121016367,1.0583701330887298,1.0298304207170756,1.1041453483140744,1.0257106287287185,0.9474163526699073,0.9712351399850047,0.9417758556304017,0.8917893791458522,0.9864471613621713,0.9521938005124428,1.0495922357565233,1.0649965386257647,1.1848649955993376,1.1173396156944757,1.476850140704747,1.701022969699891,1.1430619328407734,1.137196637061717,1.0241505537514748,1.136364646440457,1.0295973465569699,1.184875732051547,1.0766549022744396,0.993503602359316,1.0137910573924978,1.0107470763569193,1.0198546464938671,1.1444601207054719,1.1924536679550752,1.1755993651042111,1.3071612016423217,1.2291935498831013,1.2536240225324085,1.119572891312786,1.0942726042795536,1.140319981437716,1.0930572431780776,1.1182287307261813,1.0679472718427228,1.30175889616642,1.07309852758441,1.2197248128891047,1.2515692880413418,1.1942253901786504,1.2188803432000046,1.2170611890238097,1.196356481620921,1.1999565517950177,1.0958803222413283,1.2292438919801887,1.6127481620192388,1.2615067553176527,1.2215490962528261,1.169697128659403,1.2064410676650204,1.24360888648339,1.297054470252598,1.3750878055479157,1.3144638485378237,1.3481553103222195,1.4281515687248942,1.4154057263586448,1.3880842564611016,1.3937334855421641,1.3716174888363204,1.422816154706893,1.4308054546992248,1.4223606897702206,1.4990330736245614,1.4618906477414269,1.4043538072285024,1.4891002408345806,1.5391079151067733,1.4604404590153421,1.4673417227978307,1.6481770682457033,1.582160769867825,1.6034826545953236,1.6282810521843876,1.633735904829152,1.5272276842924362,1.4863818538279374,1.5407044270385724,2.596390310475503,1.639110492689807,1.832581512567667,1.4369768551719795,1.4941756699346802,1.4870854120376968,1.5669812557322065,1.44326904134629,1.4326446218168134,1.4916049225594026,1.437360713251103,1.5121424563026424,1.4706535411901043,1.5337332099752217,1.5115839547569394,1.5335498893123112,1.4706298122407666,1.4454458592697295,1.4247509769184332,1.4868846952358987,1.5149460890533917,1.5225385942268892,1.608472932540394,1.5356335006148403,1.5603634734878644,1.457654683152179,1.4868285041378966,1.4462377636863077,1.4233532592472415,1.4291654090673473,1.4401321336462547,1.4069716916708899,1.4062960910417805,1.4421443098189757,1.3842561764567518,1.422146096589134,1.4438600786433828,1.4143078941380227,1.3980083519407123,1.4020699618023853,1.4208772189509487,1.416725753864822,1.4184922026782647,1.425933153405365,1.4335622515020154,1.4544108371744633,1.4520063544075932,1.45627517018389,1.5278123243093464,1.576135376984794,1.532217006875076,1.5464837893760899,1.7119173557253644,1.6768635230148161,1.6325585702964704,1.7412329729925153,1.7026939328826254,1.952629932468675,1.6989581512796317,1.594334810757959,1.6383282334013396,1.8551238937045385,1.7090535191717275,1.7248007352095927,1.5645401540606365,1.5380955658285975,1.4567877936919356,1.4481401439917383,1.3506004348765954,1.3365587927259153,1.3268490147421188,1.379128523563131,1.5155895981070349,1.308253307797286,1.4139563580383148,1.5248599327685384,1.3891106417156414,1.3925568740861067,1.3852104996279342,1.6515694195429365,2.2619334374001774,3.2949308448282792,3.6135118989332033],[0.8130665897636176,0.6401831101063824,0.627474806674459,0.5588814171354075,0.6332400705954045,0.6524106127571832,0.6312503299040415,0.7791849088462914,0.639579576552849,0.5866085296661466,0.6266437549459611,0.7568938073079485,0.6986081431494848,0.5847278898804621,0.7764420674068394,0.7402268551948797,0.6742316165361003,0.6792614331605938,0.646443043240094,0.7013786139910896,0.6881993677166178,0.7076399847221967,0.7662719395298836,0.7714446601414917,0.6515224644380981,0.6294307638738941,0.6230124308269095,0.6046303258199652,0.6988616589281729,0.7412426429760507,0.7610789157635325,0.8191869371417095,0.9146911495922585,0.8832662894179536,0.8441918032845528,0.7670079839638937,0.7963401013201812,0.7501050959332255,0.7422259574196481,0.7659642801613848,0.8957253201198774,0.7693729897736679,0.7585350246031172,0.8601366929459071,0.9695919743738165,1.3052352604847839,1.1419623086669959,0.8842890436501885,0.8820218607903991,0.9331584750772628,0.8720826635726426,0.9847569394182132,0.8049313624780919,0.7835434904042052,1.456031763305156,0.9052985428538008,0.822606101810073,0.8520910493357524,1.0618294801787853,1.181843063797278,0.7931739922115906,0.8679463429164384,0.8507053305849918,1.003172645432814,0.7771670640580441,0.7788356603467158,0.921232264646405,0.8055378553836453,0.7912241879031227,0.7574683013553348,1.0804598551709355,1.601440830167179,1.0486162248688273,1.079575036837051,0.742784687218624,1.2645342732466494,0.7745926054777084,0.8406864809979423,0.8275721207539986,0.8528117196345315,0.8441372178548457,0.8667018347477651,1.2325812713608366,0.9334272729664925,0.8363941822085417,0.8041053193051361,0.7875343088121703,0.8875186437969876,0.7850498275991278,0.8940739955591706,0.7809952250990451,0.8450818777173583,0.7882733083338763,0.8049089031198161,0.7758648691320248,0.7965523734711828,0.8369031789728352,0.8276593322884227,0.8392436165356789,1.077146559255133,0.9394159071811741,1.0426957046737035,0.9378860290599165,0.9511973461009711,0.9330671997383169,0.896116941970504,1.1508221232012845,0.8845761445814427,0.8846091990118978,1.0533498661860439,0.839201992024237,0.7636125008386584,0.7062374046365626,0.693699064169735,0.6763651904417447,0.5587750251644524,0.5858596942149439,0.5411383906127418,0.6314181240477339,0.6490868070440539,0.561157152123879,0.5010436312022772,0.4629300345773952,0.5267841216749687,0.5638142195103468,0.6033721931282475,0.6901029692083116,0.7532707154272432,0.7696125101215853,0.8046743319005547,0.798594091685978,0.8600223059163402,0.7693509626766618,0.9428135706567639,0.7803614438122507,0.7651164729490104,0.9211512512165053,0.9337758150754559,0.9028198296658615,0.6238229500745365,0.7702866189557412,0.6937419325713925,0.6336142092416988,0.6410516009894371,0.6406302679573714,0.7009534431262642,0.6745804314455763,0.7309530194855632,0.7345831538441397,0.7472333836933893,0.8816630852790791,0.8816101261521219,1.3394142259945274,1.6907630550961992,1.0734771192962393,1.013123561727185,0.8682344128049239,0.9096836905644408,0.8305438054260518,0.8851083443425823,0.7387151368926091,0.760477264702634,0.7002730803349503,0.718173084645391,0.8302318013382032,0.7315420553090791,0.8341028952463498,0.9133292876294334,1.0152548560900627,0.9835988940498471,0.8805259783613988,0.7450259799462414,0.771793913426528,0.7832040486850919,0.7872757682189522,0.8572725672657372,0.8673025541126783,1.1431935968173361,0.8437180744114191,0.9635372016029625,0.9164358978649642,0.8245395721017564,0.8175462185626352,0.7956601140755412,0.7811067702422577,0.8346518683682622,0.7816252235751278,0.9285588758652883,1.3167929945835672,0.9840052166229397,0.9400616054596714,0.8009780397973673,0.8153973909080667,0.8153680013023441,0.7908066483117833,0.8437973783006064,0.9241642183802432,0.8321196175662057,0.8347002613452056,0.8340150172778549,0.8466953652801795,0.8779452734345481,0.816093274811017,0.8231907921483104,0.8836348924495483,0.8589750603752967,0.8505841836674114,0.8615886587989058,0.8899487773217737,0.8755850705240996,0.9185198633375733,0.9072305953032154,0.9101767088749166,1.052636343606059,1.0244305879756943,1.0058721123267451,1.0844342333487333,1.0367505916714956,0.9522737244185406,1.0167867708795568,1.0804817176155004,2.3460553009478775,1.247967410554226,1.6632232870021282,1.0210769500431627,1.08707015404666,1.0571032586397107,1.1192472321387315,0.9748071997159288,0.9097640858688905,0.9974917301311494,0.9213246303439963,0.9825319723168177,0.8960178009259532,1.0487962319474613,0.9319923287243544,0.9102682992524893,1.0184806619614857,0.849875551580195,0.9669516178502626,0.9966710918471203,1.0635903076382522,1.1104900722129158,1.293977356069521,1.2009453768277998,1.1629487554068638,1.0691482310061542,1.1668563098952849,1.077417021757331,1.0150955792005514,1.132520866319616,1.1530931409268095,0.9634603031350123,1.035205448560858,1.1401089696618625,1.0057098826254085,0.9679328878953629,1.0458759214891662,0.9747745516239826,0.9758393104638735,0.9657111642537541,0.9809392463675857,0.9641945757875355,0.9025339214751709,0.9291717776145098,0.9327037725860515,0.930361865159788,0.8836913780363248,0.9099022077082796,0.9568756212574945,0.9538146467626416,0.9075080227040804,0.9817819895914438,1.0712535648671015,1.0641465236048524,1.0018084389739628,1.1065072457710707,1.0945462904537804,1.3465133025184515,1.0393286353834632,0.9470628742284583,0.959321330436579,1.1784116001648854,1.0174256826705803,1.0186649890750488,0.8849213061312841,0.8425382240113106,0.8406383188953935,0.8608498122144613,0.76291190777228,0.7324366398104383,0.8234939511508087,0.9510068105005497,1.4282685156743546,0.8061055674950854,0.8647659639612574,1.0162892829330845,0.960837787530129,0.737820062362983,0.9698661850243095,1.3285023507285467,2.797403987091737,4.20166666011707,4.561999201702786],[0.7343804497552351,0.5019729900975318,0.49793350705365963,0.4012955488809009,0.4147244416492056,0.412557917507178,0.36732200247663316,0.5513909461851305,0.40858837767593265,0.37453661391609677,0.44613248184451026,0.5722484311815047,0.47526985978901043,0.4162863529986369,0.6078775795787938,0.5346542895732341,0.49705929471594584,0.5124204901946293,0.49805858496651917,0.5111625754521172,0.5214681527239461,0.5180746766281775,0.6323710891349621,0.6658545082836416,0.4954327296758427,0.47782204174136295,0.4389384148234175,0.4233628091213552,0.5125047697572435,0.5527747451672804,0.5877211712316015,0.6186973134613224,0.7331956082092869,0.6810232924525588,0.6215581748762038,0.5661839848925528,0.577195699851078,0.5482875393611978,0.5128729396146359,0.5266398113280317,0.7241935555836544,0.5745389718216684,0.5474894794296877,0.6800638919356381,0.8176297466400086,1.1606764344211515,1.0448745392956804,0.6834543726579637,0.6717291924034486,0.7759205274508422,0.6870797795701716,0.8542245875208792,0.6327740719440311,0.6116733779773859,1.3710539513298923,0.7154409758002844,0.6254687718356052,0.7062511238017863,0.9079843029189942,1.096718407214731,0.6169841960561274,0.694004514812287,0.6787000393481533,0.8322214341008395,0.5827078444806146,0.590972645786585,0.8025772220482954,0.6444208146737073,0.6901011498897505,0.6226072617102949,0.981008452748304,1.4611407001727699,0.8829665430969853,0.9515336959582146,0.6005128007891551,1.1646307761270538,0.588782577721607,0.6577586692929077,0.6250218444084252,0.6704235686137742,0.6448912148116981,0.6534075188463484,1.121935962008692,0.6621534359014196,0.6332257041469733,0.5856873997473974,0.5728951752279001,0.6687227583125884,0.5791168865835246,0.7004726323400827,0.60569090539236,0.7033589242023799,0.6360380200117799,0.6421438603247629,0.6158590635502149,0.6656815529047345,0.7051359511545578,0.6566598602631198,0.6472259464757225,0.9317013172195358,0.7242656341836106,0.8227687204055188,0.6797353600809483,0.6997286753438445,0.6907089307734481,0.6188421971562905,0.9310409911591957,0.61417549933884,0.6348002118452429,0.8553980390112281,0.5651854054764378,0.4773936806719894,0.43966535087164704,0.4892265150170803,0.5361130352170946,0.41012487300495576,0.4319239071529027,0.4083421988390579,0.5284848500371806,0.5075473498742596,0.4532152462033877,0.3835620330853214,0.32900197239352036,0.35538809793986337,0.408540465198744,0.41361932425175507,0.4059207320038574,0.48766345597860444,0.4779191986674406,0.49934000635579523,0.5004057313304271,0.5534104090147297,0.4848092081325657,0.6646570508557758,0.5361592151185715,0.5528586923089713,0.7452255504679617,0.8361981887481242,0.8103718594845608,0.440340857890881,0.6822759016380863,0.5859196041781429,0.4515366376005436,0.42923499223524003,0.4256378225663632,0.5250253063277526,0.41534696382223557,0.533764966774298,0.46687111512892426,0.48676216278271933,0.6609729261070606,0.7057569171463464,1.2348285546057496,1.7709523682289512,1.0547683413781002,0.8420647597703038,0.6589733096383658,0.6827147684380334,0.5766884861186087,0.6217585293267641,0.48678249943223556,0.5313603842855705,0.49095396463608726,0.4700293620407029,0.7042823490232428,0.5528896201635941,0.7094452524946298,0.948041864104151,1.0171826473268193,0.996866904384204,0.7733777450018943,0.6000873223174621,0.5947069670554564,0.5025236215143671,0.5149221948222106,0.6106397141720777,0.6270892038845137,0.9234420969332144,0.5849220186151634,0.6737018549449455,0.6737306066304588,0.5300988497600964,0.5162586842091577,0.49770768056291786,0.5119589994214843,0.574890918232319,0.560042271567236,0.7367632763797131,1.2113885299020692,0.9082777394301592,0.8821706399658703,0.6387758767534996,0.6857634281891807,0.6566868126418623,0.5490077782689227,0.5999181762404007,0.7488310210609144,0.5677147732770343,0.5574986871203761,0.5487843756702175,0.6043422351743503,0.6418840303094229,0.5534557166132719,0.5723901234702874,0.6473882151468063,0.617161474788464,0.602630627263172,0.6370299168982092,0.7280196303288428,0.6506785254958614,0.708806885148005,0.7501451280536247,0.7525823097042291,0.8349401295822905,0.8787810012572831,0.8440510049195231,0.9123161435863145,0.8551085014090598,0.7745861452148678,0.8586110464790877,0.9032819826140919,2.1026827831000277,1.0911779307462655,1.601511188574175,0.8690100565988605,0.9085605136111129,0.8714043925375418,0.8767907879935366,0.7883551997087369,0.6898580057104169,0.7926323105894013,0.6892471927092717,0.7511709954268285,0.6529744215008576,0.8833415363239703,0.7048807704812698,0.6919524096299187,0.8692709086688658,0.6126651616194887,0.7415062476080151,0.7180601526366238,0.8116612787756844,0.8771059765354446,1.161103746122324,1.029924828788876,0.9044413000064352,0.8953148078088421,1.0201854782342077,0.9158380677595558,0.8578400618328013,1.0441279638135395,1.1035517975803315,0.838809034820026,0.9523408393574176,1.1049290100711886,0.9853097537516925,0.8640012797114464,0.9428203521071107,0.8509049439128692,0.8508822153147797,0.8045867550950745,0.8164240195937696,0.8134465771129532,0.7226137367686971,0.7338495284186171,0.7523288953428648,0.7529457377060235,0.6680667081210805,0.7033317227796633,0.7845061388616462,0.7513398355049086,0.6760484218011215,0.7759833434861099,0.8967665571688137,0.8775588759420272,0.8292001780636802,0.9556470497102681,0.9735792980009303,1.2297455023022743,0.8804118985532083,0.7497610937137081,0.7293367670188855,0.9994382270292511,0.8267550387464906,0.8500636496552362,0.708167134502601,0.5992839842545928,0.6031360243401646,0.5698350177347691,0.49827409380626597,0.47979845916219416,0.5500439706719451,0.7284840236447723,1.4808760390829572,0.5407608608727161,0.6097224414026209,0.7366370961699993,0.7051376266611021,0.4976372012016386,0.797125520950705,1.0383628118025883,2.532836674975556,3.7868733684914706,3.8295131349141207],[0.6507839639187363,0.36279845772840646,0.44057232137827274,0.3186896069669806,0.347372505097904,0.37609384309711463,0.26008426439976584,0.3892086985027869,0.3069366628833185,0.31460646530360625,0.39583144829144656,0.479045345311282,0.3945320556120873,0.3829656818898891,0.5583024540628274,0.47818705901212916,0.4517493110146499,0.4687140145065917,0.47494609081975475,0.4781893701958245,0.49418151326562654,0.48043935260079884,0.6157265029765178,0.6563559835000974,0.47231706924477423,0.45931317499042984,0.40288235728693816,0.3772745012636249,0.455768915529007,0.47586289958208194,0.5310012178360992,0.5353502534197464,0.6572006400566623,0.5932346205898668,0.5305852978492133,0.49122454935130755,0.48672853736223265,0.48008022897653124,0.446543025354584,0.4509430297864749,0.7066754459528216,0.5436868481532754,0.4960399751937723,0.629261154195241,0.8075666102123792,1.1507176365859668,1.0479099213142367,0.6524819892828149,0.6406842328314146,0.7666833094141335,0.665815039759267,0.8071332622237584,0.5697311438506957,0.5586745664512827,1.3518872948782297,0.6507159653607012,0.5634984524837309,0.6497607489324175,0.8365595138078822,1.0537945626516998,0.5726074647020173,0.6505721025577765,0.6256681297431289,0.7758668590994635,0.5479050658095377,0.5420272290143796,0.763461733861166,0.610005530049958,0.6676359973911438,0.6059559964024511,0.9651691167617023,1.4371900300790041,0.859190936424427,0.9227165826508894,0.5688614527440499,1.1406992705983565,0.5423357051675901,0.5998698535926931,0.5522945644750478,0.594176818078357,0.5542241074174158,0.5616068077185347,1.0943957852227826,0.604089857909385,0.5720011013228731,0.49209529023335413,0.4829610804426385,0.5973819053750974,0.5011504676875902,0.6187687994447453,0.5458364827940846,0.6597612657058806,0.5873962948104697,0.5622999391899356,0.5452105449684038,0.5997125661591839,0.6550724624560573,0.5681215012359229,0.5468712378434227,0.8264448798911554,0.5860131638853923,0.6373540683082785,0.527556349603525,0.5452024507964719,0.5499219563219078,0.4710986847968339,0.8155553012414138,0.43575977170898755,0.4557340550022908,0.7320955555003306,0.40327805851493537,0.33813659010549213,0.30588487738358,0.3804685002663927,0.47555289504526804,0.3815199409419986,0.38839833999561485,0.3785022895198767,0.5172279989465386,0.48525336378944645,0.4353244064792182,0.3645525104848331,0.3338897650157254,0.3399193032972438,0.33994389065575875,0.3476683865118045,0.33810076906930964,0.385203601039809,0.3466147272491189,0.37168508352894486,0.37726843945480315,0.4738814307476079,0.36798611448635926,0.5386400358222692,0.4201100276699869,0.4323309783220854,0.6706379057009008,0.7442060958327459,0.7838570654688943,0.3895373771758368,0.6576192318539112,0.5671173771053536,0.42883255700187833,0.39326585816784854,0.3734893968087148,0.45945853124303,0.3643650609421848,0.44422065032522723,0.36020794666650024,0.37561955553100096,0.49265987059271915,0.5638552531647538,1.0775176516686584,1.7705490214333433,1.0520619126344304,0.6978036592837791,0.5180227290977195,0.5259741699248693,0.4473120180553857,0.48194114320884357,0.38442966812921736,0.42860543167337134,0.4210683348557843,0.39496616613227886,0.6180217604641869,0.4909123257206124,0.6100608002875939,0.8785334805304686,0.9237193226473335,0.9189417120273111,0.6611325229764723,0.49877877926214165,0.49253933892395785,0.3961679740850028,0.40198383002325916,0.4723541483830511,0.50765549664821,0.803173053272578,0.46418457004409985,0.5631349798668547,0.596263298472622,0.40076269032818973,0.3873271560542119,0.37226294586453573,0.4075437177257547,0.48642016493556234,0.49943898721482516,0.7088156176902175,1.213144473334217,0.844617962764734,0.8381555341714635,0.6246065120573258,0.6313614406174559,0.5680963669910181,0.43620155462916227,0.4688465895743669,0.653709822504786,0.408587262270137,0.396948096972178,0.47448656149369844,0.4352075392241204,0.4688435745470825,0.4060947296952784,0.4266179641918168,0.4910851849568655,0.4702010054662157,0.5108763714356055,0.5171136154993368,0.5843377451859753,0.5349888399883932,0.6135397655020192,0.6459819592365968,0.654955006800112,0.7688975415657885,0.7942027136247767,0.7712139180842484,0.8273342934810269,0.7736144888519793,0.660992214356739,0.7471625522279332,0.7792468084350501,2.0323393212598333,0.9959200195141104,1.532892416652702,0.7343598377669893,0.7453629377798442,0.6979960284824309,0.7152085004021236,0.6339116206116768,0.5252850301149541,0.6543125975659063,0.5657159879713719,0.6174803352340664,0.511968318545727,0.8100176770157448,0.5983400942024574,0.5933170720966333,0.7821840829355234,0.47890957235078296,0.5999029127175871,0.5716916978462931,0.6744393138969117,0.7346543676878752,0.9920219727768979,0.8869237837445507,0.764714672881898,0.7097893493062285,0.8747945949305801,0.7310088990035032,0.6839686761253884,0.8898728825440221,0.9650445291841832,0.6810587930254925,0.7717552634960915,0.9288386681745505,0.8398410252376416,0.7300721925104924,0.7905030628441758,0.7075924434888083,0.6925484979544785,0.6489115678558404,0.6543784675251062,0.6720012229872412,0.578145309465909,0.5946702395024662,0.5975936549397811,0.6157522630587586,0.5282751191302469,0.5531805289042842,0.6933606240139926,0.642606235914879,0.5515475533040148,0.6263994909296108,0.834727212989261,0.8349964492690402,0.7625066328808381,0.8735835801093463,0.9412317154349267,1.1115250794979037,0.8175428535986394,0.6868869456784346,0.6547137097173056,0.9447133902154706,0.7619903718284416,0.784583533142113,0.6624957053742846,0.5474811813152048,0.5482171243741625,0.41559217421868166,0.39886937740455386,0.3705125646213836,0.45537644402356403,0.6667725982959257,1.486087416267646,0.4295373470045743,0.5645973144396447,0.6793658221341877,0.6129154628490913,0.4847398238984959,0.7714380573104109,1.1160319226606832,2.8757232528531294,4.232762093928631,4.194626662252586],[0.6687013374211652,0.4152331205471083,0.44406930493749985,0.3453766665338149,0.37533441647140536,0.4034630216715612,0.2858360608683213,0.35195363541523034,0.29388099644274135,0.2897891324414079,0.3551572235517823,0.4541833798684428,0.35246217108820604,0.3547563068541101,0.5299386242876087,0.4534283889227386,0.44767056068694255,0.4701040468790793,0.4978841766035278,0.4873390331172775,0.5192803149381195,0.5229261289435267,0.6724155223291198,0.7850362391730353,0.5306146451930275,0.5287933468742078,0.4284555181253667,0.4013818494629508,0.4521196583254119,0.45539277716341126,0.5395171171810544,0.49682421266042714,0.6664358051877016,0.5868303320941343,0.5047424219739046,0.4750763379198956,0.4601874000341525,0.4773736112555284,0.4526527148281802,0.4432954979006951,0.7217389552588245,0.5603607524656582,0.5226097659384971,0.6087381930083433,0.8297789700727256,1.1442991861478213,1.0692836631860672,0.6494062166806512,0.6595011771870128,0.8109935630087326,0.7171840762460298,0.8014935167883003,0.5538012665587363,0.542669014187673,1.347313348494374,0.6344671529083076,0.5576258644622345,0.6706033570913381,0.8283806798707557,1.0796581279481872,0.5846187236127929,0.6665658844703225,0.6207487310955095,0.8358080104821787,0.5817241784154792,0.55774849896001,0.7769322802541366,0.6173350206286461,0.7002679332099799,0.6114334750747665,0.97577785581502,1.4634495462359922,0.8624048859376154,0.9873441178402476,0.5762669209652345,1.2008725903631856,0.5431215241436138,0.5923477741702022,0.5360854458820977,0.5907417951903391,0.5317946717478329,0.5522191862442143,1.1030590989093523,0.5587201395284122,0.5983653642807164,0.47836881372994694,0.48177233229220795,0.5774006873444102,0.49217863168306103,0.609788038476568,0.548650854662344,0.6947792258784697,0.6045164214243394,0.578807457785674,0.5463988240977398,0.6270032113234485,0.6566353231445741,0.556492775160189,0.5177253943705875,0.8064051302741014,0.5414587384729675,0.5958915938895868,0.4740886835305559,0.48132464382450835,0.48686278705000624,0.4355301600035892,0.7390325375856721,0.377214917845639,0.394315779897712,0.7110835271306395,0.3498604706436027,0.29570033284466524,0.2856873397526459,0.3824177879785299,0.5027398396825047,0.41848243681957753,0.4354006560016688,0.43182845917379337,0.578506664370741,0.5155633633289062,0.4674943364730114,0.4136102881291241,0.3975863032047141,0.3642643440856949,0.3526952037627969,0.38214007256316807,0.3350109125827882,0.3623784690033341,0.32593975021173793,0.3550775918449863,0.36440792884895085,0.4609365200930268,0.34679848094228244,0.5089019671182415,0.406861289493524,0.4099099485873877,0.5917421027561793,0.6409591231260466,0.7087107278443883,0.4359612088168553,0.7227432645420637,0.6111891446247273,0.4450311925986933,0.418882936860491,0.39469526927385884,0.4608300799444115,0.3792905135814459,0.42800656991784863,0.33168903945253736,0.3430712192477584,0.4507667155801148,0.5601292149551163,1.0165193125218575,1.8632586599126872,1.1144287459690259,0.6674797409868882,0.48130452523649275,0.477065127665912,0.4070875823028084,0.4332043808461004,0.37580021866782964,0.41849303279417766,0.4051420752414131,0.39876111233274736,0.5841447450256795,0.5040594828166001,0.6006432119489225,0.9411696903296389,0.9391169562047417,0.9423038424813803,0.6448221235240866,0.4826377486702104,0.48264951532665096,0.3709415999502303,0.3700822380435206,0.4217649459301552,0.4616150252717962,0.7614264430293514,0.43460476555834565,0.5099752296721414,0.564793496800879,0.35028144831878166,0.3422018173900906,0.3504575747302975,0.3961825235657941,0.5047223793830643,0.536638901914111,0.767532509030891,1.2830660704824564,0.8807240120736215,0.8879972070094921,0.6873463470258276,0.6251775037991507,0.5495133912678378,0.4331250057556841,0.45506853530866603,0.6288294689835529,0.39319610193815474,0.4015077044953764,0.499173137506826,0.41691256213396083,0.4460608635805196,0.3980774872001118,0.40148555443903094,0.4457158910708592,0.4375490186864336,0.4885242466368756,0.47323292980165155,0.5440940239016664,0.4998540554387544,0.5834811137449613,0.6133082799315792,0.6287169271892586,0.7162182652526665,0.7760681737033457,0.7467315819274203,0.7973175944311279,0.7264050466476488,0.6156555663698478,0.6917120777909542,0.7068521023838038,1.936652645876941,0.9390783117935786,1.5175359628974794,0.6990442958917296,0.6848383001700872,0.6383751114385705,0.6675283065658012,0.5764470406041684,0.4871564660988912,0.6472009256245531,0.56412737673462,0.5942790963008561,0.5074148639059023,0.8313912502792006,0.5861108877135243,0.5873157135936654,0.7710723051611365,0.4809145089995271,0.5918725408999476,0.5578275207814712,0.6578653739982576,0.7371261016772002,0.9443977543564399,0.8699389004746821,0.7495014038384771,0.6729356269672704,0.8662786131843562,0.7059167489563117,0.642795418174472,0.8639120345999958,0.9425926132033925,0.647560734281694,0.7352926017925302,0.9022736069873843,0.816792223854637,0.6970254238683368,0.7544203616276576,0.6651989092932304,0.6530552516720456,0.6029381853899173,0.6063750635984423,0.6230828621148159,0.5304485376964169,0.5490134439464079,0.5386924566290309,0.5634016371683832,0.48607821610692786,0.5034447760887992,0.6564640181276862,0.5885238436389781,0.5204336831344168,0.5823142735097991,0.815873007390665,0.8033477636131973,0.7279837732173449,0.8978329858712933,0.9586634199727664,1.1013989203764354,0.789955389129898,0.6530889470908072,0.6110075647635055,0.9009138119600776,0.7401205254041194,0.785654176830257,0.672266271553771,0.5676441509956416,0.5485871655591581,0.39994101060760734,0.41626402544638713,0.38352285413365667,0.4275076233367747,0.6363476964631299,1.5228576099447577,0.4105315331962234,0.5430762531655546,0.6834249347314041,0.6065196222520477,0.49638715561677743,0.7368232056729763,1.1324168544886823,2.987138721515579,4.428740643335359,4.40078049704101],[0.6370328876562636,0.384224944948525,0.36725138818728315,0.3200047153001846,0.34602251250620475,0.35968759739489914,0.2583847035375284,0.3239437892214569,0.2969794328742967,0.30585765309630975,0.3436837994554886,0.4397437093029195,0.3442548819095189,0.3671183048515876,0.49835690332495564,0.44799323683539527,0.4729883794061789,0.4894394298850756,0.5371454771183597,0.5154812321823202,0.5544627027792851,0.5623592746217405,0.7182711860253864,0.8746321522114447,0.5947827241641924,0.5921151480800443,0.4842536861957791,0.4279315154275658,0.463340858623503,0.45861508931239303,0.5426101757571141,0.48086515066314545,0.6465960801940449,0.5618375230615578,0.4846100415082642,0.47031110996154246,0.4561668957763264,0.4796206811470229,0.4743324698327182,0.4534792617928399,0.7460914434851513,0.5859921254189826,0.5552136313084539,0.6223721185617034,0.8916987524151465,1.171670536850903,1.130777840646099,0.6916458444545148,0.6797180493075788,0.8576199002776043,0.7621824561495392,0.8380502878809396,0.5613808829874022,0.5531562647579558,1.330907899363727,0.614765578735835,0.5819894355950584,0.6706767412235277,0.7783521388020599,1.140573435702118,0.6189050790672765,0.6742549476462321,0.608674885398578,0.8483721445469484,0.614161856623197,0.5712679978635729,0.769210945328677,0.610564613032459,0.7204525348119591,0.5986299444312401,0.9678253166257396,1.3997042371136827,0.8177213685980433,1.0065268180817482,0.5782733664943541,1.2472528685360333,0.5364795095327687,0.5714897072485524,0.5237563832993355,0.5753429380159057,0.5125256446794276,0.5439421410116692,1.0931071941872823,0.5178442444489769,0.6302604110724063,0.4669289697176699,0.48003003178769305,0.5467157350725702,0.48773733006566733,0.5858894845086834,0.5386109538565036,0.7453433113457083,0.6182841175877339,0.5737865444964483,0.5344198856646587,0.6255948093163557,0.6290188221112778,0.5193999428170871,0.4717471240040609,0.7682600778531633,0.4987857036083454,0.5531631052349105,0.449874671114332,0.43137900858686873,0.44877337575210435,0.4143989297240769,0.6540438919852727,0.3509424070605406,0.3803856952580508,0.7284124847099323,0.3242742302214935,0.28327020692167454,0.2631221170098699,0.3856084106351833,0.5300666829385382,0.43264864028115363,0.4491459682160824,0.46498382488909923,0.6285132270399885,0.5447949934206626,0.5020907993200358,0.45540296799086827,0.4274954895070228,0.37180498988264216,0.3611717903921622,0.40686723715179696,0.2762995077056689,0.33399688821935525,0.29791857012850004,0.3566088131709124,0.3540674586331473,0.42202730673928734,0.3446452178123238,0.49537001759376464,0.40286679120625724,0.4080565270224427,0.5835675704378229,0.5984834536738197,0.6880956994662384,0.4692425500375427,0.7929987693864466,0.703629964785894,0.4931036948842977,0.4536772455513129,0.4136532631757377,0.48483137318772535,0.3933921126192669,0.4325069215698603,0.32697375253642036,0.3547020895196423,0.4436254535696044,0.5890867010581569,0.9561751161477492,1.870548886259603,1.178856757689638,0.629888445658464,0.45989596715958,0.44650668652658376,0.39099875524499256,0.3933589873928264,0.3831322332477989,0.4155720103613336,0.41040122513098193,0.41164859024959816,0.5706648342594656,0.5130129927258743,0.6002838417184989,0.9913660374575209,0.9669091856742298,0.9420863062161193,0.6380453838953671,0.49171442951773775,0.48645460070077723,0.35145424030505207,0.34972789433549745,0.3938545250339769,0.43964006900132224,0.7150996436931696,0.41117739000990017,0.48054100053105214,0.5488315405052249,0.3256835621545411,0.3223476604586497,0.3379548984423088,0.40058967433524945,0.5259384888444335,0.5704760453667805,0.8092021946091819,1.337132243815983,0.9433197589626836,0.9751754898872721,0.7654976779725499,0.6692873933038753,0.5907126642436655,0.45781635012391814,0.4714842680757139,0.6016102776158345,0.36321268434973836,0.37123754055256764,0.5083593840818459,0.37411483576732185,0.4127758630245044,0.37125073151128923,0.3681342017796067,0.4045531780349609,0.41184681313164834,0.43840896355228154,0.4373593204695686,0.5219853507381124,0.47283184968347497,0.5467555237450099,0.5991236980556455,0.6325950723636262,0.7038962358857468,0.771207842165314,0.7498815098805722,0.7782906086289102,0.7008568424196701,0.5790462442547387,0.6627432100232579,0.6567527937914952,1.834198474742562,0.8777352772067347,1.4595767206635988,0.6614354868561064,0.6419106284930485,0.599839704810545,0.6170110601946259,0.5346314997167632,0.44215845094117184,0.6042856218517183,0.5266300154588828,0.5508958234232494,0.4660793929212068,0.8108848452593318,0.5750687869355046,0.5696893120001255,0.771520801690638,0.4383853175310278,0.5665364976471601,0.5171699861390875,0.6111217809348464,0.7178893086185408,0.9225127485770993,0.8754069412788539,0.7262211376241712,0.6259186377431176,0.821063183118121,0.6852799664477767,0.6025590756738657,0.8264930540132214,0.9211998071317955,0.6286272357858546,0.7028159131306269,0.8744195103702919,0.8213267278638998,0.6837512016844639,0.7355262760921444,0.6390933485585087,0.6099520348839113,0.5447270741549288,0.5463118954999387,0.5718321202766841,0.49486931071677764,0.4963758023462411,0.4992305922582158,0.5297680721914172,0.4512726276462579,0.4710388597265887,0.6226238146455471,0.5441781840091613,0.4980833644202982,0.5669868437362157,0.8189942424867395,0.7921217551671911,0.6864005181563891,0.8947553049651913,0.9452801122772985,1.032708397579065,0.7433597414946557,0.6289821933734043,0.551460860480253,0.8415768932347615,0.6561561496646819,0.718491991470781,0.620010917181407,0.517555855115201,0.49563112559523737,0.3604042977467762,0.4038208643259805,0.359144171984661,0.4039676334847133,0.6071148854528058,1.543179159678187,0.42330193377833547,0.5045246907787839,0.666663454145647,0.6402608858495007,0.47631903446373236,0.6975603577014868,1.1098413956571331,2.978426956655982,4.357111896172464,4.199526296994397],[0.6606502481633842,0.4253388499210332,0.4169568408735078,0.37484645613015555,0.3939868860677883,0.4014746529242156,0.31246913426021605,0.34830464494599217,0.2934605018422935,0.295429535624889,0.3565353446205218,0.4592056294704404,0.3919751601828847,0.3875467486531132,0.5798433329751495,0.5392296415553214,0.5358771156595495,0.5745215776107815,0.6153078287820488,0.6095362958408613,0.6638465194489243,0.6591017554263172,0.8241304967813288,0.9599120685291413,0.6211955280359354,0.6192629410135205,0.5390559742763797,0.47894956752438567,0.5301831700255256,0.5363040118019422,0.6541218933000613,0.6042298871758184,0.7917493916594268,0.714421561645265,0.6343158709438268,0.5845597172227792,0.5706613367929949,0.5698429141266873,0.5528866484464392,0.5348764577537246,0.7220511652331252,0.6323712173449757,0.6153663389447518,0.6821449758017513,0.874398774525862,1.0902831888122815,1.0457937116809002,0.7475901436827481,0.7146739450589494,0.8472971039855214,0.8444438607385113,0.9262093784903125,0.6685217047236834,0.6601300510099251,1.3452189198168731,0.7229072378375556,0.6355401783707019,0.7617086514643245,0.9177446436654676,1.1362224557168084,0.7122005108298827,0.791136514200084,0.7524114198325551,1.0334273663753626,0.7493208058031929,0.689057554849245,0.9311167423790361,0.7592857845917304,0.8283219787731423,0.7104686639423836,1.052350408987859,1.59337235193732,0.9562071391667628,1.142364204093259,0.6838210759330731,1.3189496179581606,0.6785255867643588,0.7324517557558528,0.668045428497488,0.7021876603054469,0.6351218735265268,0.6473205112510957,1.2163575767181551,0.6795916752109045,0.6721269160618908,0.5591890142563213,0.575103486137765,0.6709985602220258,0.6085396829984865,0.7159848756122191,0.6802553550816608,0.7875689922693275,0.7297286419531289,0.7241461855552475,0.6572436039903402,0.7410311063354993,0.7280688527791831,0.6492013547845417,0.570327942496949,0.8693629482961335,0.6023084481828868,0.6189981835748214,0.5520546888807967,0.5301551607754111,0.5036347776213967,0.46185285909047674,0.6840630722450163,0.3941384931902482,0.3879898955427657,0.7237938739247415,0.3254399128642364,0.3147966714221375,0.3089805837377912,0.3962845451021775,0.5623825936760666,0.461825188482052,0.4687002855856726,0.45958472860341104,0.6967485496772359,0.6397129295503378,0.5605558826853264,0.4903807139444393,0.4399084262744314,0.3926842855180701,0.3301594825436384,0.3814068775229856,0.31777720846623264,0.3321758182773665,0.29514315667049273,0.3705520921847011,0.3500135734564222,0.42145889721868224,0.3388959966761406,0.5283584609249552,0.3973302105516148,0.3896950011405429,0.5856343118361745,0.5678024939956932,0.7229154461839719,0.44425635288399035,0.728589926105924,0.6547722296576497,0.5099094539908527,0.46544136250921236,0.44571585754621357,0.5168343158415627,0.4228066782266748,0.44529137819432235,0.36696266909121134,0.35370446131791644,0.4511772219158418,0.5813816185401194,0.9477872316575707,1.9148054122719418,1.1994971139737285,0.6864225858296946,0.5187213479154461,0.5064525636626931,0.46765052448197353,0.4422933805272838,0.4080343961914127,0.46855352048045784,0.43679362733557686,0.46600023129463775,0.6245526977064662,0.5366628297119165,0.5392168288431924,0.8981651742156611,0.8416000913926577,0.8552836842064798,0.5447647192120797,0.44904599118268734,0.4820055621708355,0.3988362759909599,0.42484041009878076,0.4781797847878252,0.5255132484219803,0.8512716656447107,0.5260888799518111,0.6218106861073162,0.5457038417709289,0.39139334688762106,0.3845113241180322,0.39346736723952463,0.4271727019490509,0.5242444076652052,0.5496318752229701,0.7823715258898678,1.2494660784024831,0.8304087476000431,0.8686571333677587,0.7970533661036676,0.6707858746483638,0.5584925881757022,0.4421854698855857,0.452723817351478,0.6437915767284469,0.3746382760104405,0.35994815311791106,0.4780338875353312,0.3937120556117518,0.4406957698845862,0.3789997341342534,0.37287371658218604,0.4388300362066865,0.44282055251073854,0.43874194365115926,0.4537518076806703,0.5519278362754033,0.5003937273734442,0.5620235982923691,0.6123141186919279,0.6449327310661952,0.7287103934146026,0.7641204807996227,0.7379015895589534,0.7927275740337261,0.697963075503972,0.5775600435965174,0.6714695592370181,0.6721098577234872,1.9914705933732786,0.887817929293141,1.4975514750757923,0.6888599572629303,0.677429372387611,0.6399204455690052,0.7084764338310843,0.5483648937935028,0.4746938396665204,0.5980180247198016,0.5508787258230766,0.5520319863759786,0.4617009078979279,0.8580564281657109,0.5346255317084525,0.5712706220009818,0.7604020862264416,0.42491767243363876,0.5690603040971277,0.5729056225598014,0.6838201374908677,0.7879049354019712,0.9606155757833338,0.8997942078039592,0.792653489214857,0.7148520991182258,0.9166337522000738,0.7306575980671681,0.649132710817601,0.8825729299306876,0.9362724207154479,0.6577370058212402,0.7490464839126448,0.9217096271977763,0.8257907638155345,0.7065696867376124,0.7688038487654021,0.662190858088054,0.6513547059436329,0.6123631625230709,0.6139356106230879,0.6076912663957029,0.5224578924958905,0.5455020897598732,0.5209178871791965,0.5352186902606044,0.4576629127254506,0.48175110071105076,0.6045303542146274,0.5391338037991735,0.4785746069679756,0.540214785377697,0.7831135521631769,0.7714494235093668,0.669238680545086,0.8510954976869286,0.968187835249876,0.9943245847407762,0.7300525857199026,0.624686876737343,0.559126358593554,0.8286978749830778,0.6210860669411404,0.6586498074196925,0.6052511202099867,0.4869912701050062,0.4960964412250298,0.34944863917378866,0.42747025679162776,0.35835581657554383,0.4490087269015567,0.6593730942287538,1.5524635083898044,0.42514261076505605,0.553435580720239,0.7395943534851612,0.6472691946945658,0.5155972881111784,0.7497585014862221,1.407036435672946,3.540911271765621,5.301137861631383,5.557394452465151],[0.6542538548142944,0.43239618047256284,0.4013948172559481,0.37909447546740965,0.42024763609728333,0.39857864744023175,0.31851128285122127,0.3084717366433485,0.3065893735479458,0.3192783138605622,0.35373591351362266,0.4502513319723103,0.37359685976435164,0.37452062072338776,0.49836458804377093,0.4904270897435448,0.5079659220901465,0.5224913325034511,0.6036498348216539,0.5528091026772589,0.6091986438707802,0.611820328124541,0.7953223223222545,1.000056981574001,0.6710012163733043,0.6710052176036865,0.5597114740453693,0.4853941458899031,0.4953589567842695,0.4825059981601134,0.5927958192480097,0.512605156186278,0.7306741112716827,0.6292050692073884,0.5382128637100849,0.509172388674706,0.4698486325956787,0.5179639935308293,0.5118768901615899,0.48329853122375965,0.7595599857781011,0.6016571910526577,0.5914049876763741,0.626694717902629,0.903175831439879,1.160306187564126,1.1471688091065906,0.722616617602304,0.7079435843710356,0.8967635848124442,0.8297168301466452,0.9084027779653067,0.608816291118209,0.6174750554237212,1.3242802433573462,0.6467799587619453,0.5917549729655102,0.7184742853682984,0.8071234828685281,1.156105759758837,0.6723616592623681,0.720214582682434,0.664337386807978,0.9264356023778078,0.6931157720833675,0.6206347799795484,0.7966342093946526,0.6472027152152531,0.8046363353197288,0.6364407627922707,0.9682127126019807,1.3801637477106115,0.8368999834846448,1.065314639551133,0.6358482667245956,1.3318956797605812,0.6150131613649096,0.6553053345949927,0.5915978411616848,0.6170214978573542,0.5465575149062816,0.609729195884507,1.1570335166792,0.5840488003298652,0.671286250222242,0.5002467709550913,0.5190469667514046,0.5916153297961184,0.5332043001547956,0.6462630655807668,0.612802197670024,0.798942018043157,0.6947848030576397,0.660349740847296,0.5835978516969409,0.6975468242311796,0.6615388526281237,0.558359970859882,0.4853860610029827,0.7840651991826779,0.5168395118487112,0.5581413721399839,0.4574536127065295,0.46086973980589374,0.4451330582135447,0.4379549492044243,0.6273082648921466,0.3726281201856717,0.38114984952193476,0.7266301571365369,0.35019788675632324,0.35384530511608986,0.33415838979862705,0.432553307718081,0.5426536027182313,0.48655855348969107,0.49110625361979804,0.513478306105822,0.7107264639349385,0.6004016565864695,0.5652111205355854,0.4948833794266146,0.5133867670537547,0.45002606043469556,0.3983606629617885,0.4548500271475729,0.3555017125895309,0.4020566773786509,0.3867562515836733,0.44607921856830807,0.4578262209028448,0.5086630006401327,0.4357488621323509,0.5117286161794261,0.4744828571573488,0.46385535342325424,0.5789776160529181,0.5120231177806479,0.6356031096568632,0.5303065589669159,0.8628724887213688,0.8056804183074477,0.5720476674688766,0.5037792460767981,0.46730053119784404,0.5059126461981273,0.46587208106213407,0.4630756356256717,0.38078772234915037,0.39053916620317153,0.4266964548034414,0.5801256237991784,0.8809143515229356,1.8886079687328976,1.2106751442546335,0.6091084303184233,0.45775836697340105,0.4498062837979357,0.4131127297305473,0.4282523862009145,0.441306131291711,0.45531129888734256,0.46750208061248116,0.4810027127080025,0.5865959142272118,0.5879698327661276,0.6086465359802536,1.0222230577556017,0.9324710413562882,0.9019453467542877,0.5971075703571805,0.49715775234318055,0.502321202366707,0.4081766537566836,0.40954372992622257,0.4283846897665419,0.47557103081825064,0.7445911220481262,0.4709758961599233,0.5356540753962242,0.5806570828390686,0.38940062730569086,0.3930000961812424,0.42947286156818965,0.4775778961381284,0.5667881068534248,0.6039975580600114,0.8511609781514066,1.3870880850575564,0.943996436783334,1.0174595250961034,0.9110441815677154,0.7569779846363769,0.6507434678996794,0.5451026968551064,0.5336134914774104,0.6571461374634925,0.47213350099886514,0.43869978760367545,0.603117545113061,0.40276861219906485,0.4293977145738229,0.4172476432513237,0.38669182056516355,0.39725629301077015,0.4099531174680577,0.44242306357766414,0.41847690422864237,0.4900909914629256,0.45431162631422706,0.5222491518547988,0.5631373420344162,0.6040020128981723,0.6771575271735387,0.7485419683421117,0.751385550811064,0.7533399840323217,0.6932137326316253,0.5692539358849078,0.6297896660547836,0.6261972866247908,1.821676178286603,0.8517052984381908,1.4131632999346975,0.6234329779335098,0.6053779948398379,0.5837087427609303,0.6269534868921817,0.5103240062190111,0.4220443508536676,0.6223738020496842,0.5608922700017879,0.5490669483745524,0.49632936461387794,0.8719851263963341,0.6141005876342388,0.6367397523892383,0.805108681081542,0.47771270465453747,0.6118296482300798,0.5618589793901633,0.6391812522980965,0.7403725666075563,0.879016076758922,0.8689152373778111,0.7337630357220121,0.6175323527119716,0.8308654950282441,0.668591749422377,0.5748312444326801,0.7996807581071752,0.8916681257701925,0.5993870318031747,0.6670219438918028,0.8437131791391493,0.7946224063899767,0.6564506203875852,0.7059632788960625,0.6024074895837053,0.5750862445905613,0.5197288816674992,0.5171197707931083,0.5280932150655503,0.4603979714257939,0.46951151532891006,0.46057556549396583,0.5058674499483476,0.44260957768616355,0.4637397457426049,0.6266188800503681,0.5509954293576057,0.5245992387813869,0.5803295068300264,0.8543666392727964,0.8238810229296782,0.7054004857662253,0.9813749762416043,0.9851707778725564,1.0147516252768058,0.7570807225587003,0.6354026018347627,0.552682238892832,0.8519652446455472,0.6666833340548135,0.7468551570194917,0.6418680434264343,0.5850392254822344,0.5550407969248957,0.41215858089740015,0.48630867211167866,0.401382722981035,0.4461042108133235,0.6165227198224671,1.5372451365782738,0.44293456365832906,0.5231344131917527,0.7023127131707602,0.6442809821933085,0.5056562111390859,0.7004901040386191,1.1615710737760434,3.1078325494481853,4.5800383066634005,4.506352746681138],[0.7026536722037373,0.48535219735362883,0.44071504734426603,0.428389071718354,0.4524078714612207,0.440973150501472,0.38353351516067363,0.3627093410353508,0.3659128546481458,0.3960036297036741,0.43876851223311664,0.5167970130800338,0.47484763849550715,0.47127985515659715,0.6129695907223534,0.6225453805475873,0.6269122600648632,0.6343438461814552,0.7007382241436574,0.671068823833272,0.7182207433794044,0.7275466589874349,0.8842308170904211,1.1167555183596287,0.751731686451334,0.7560924577333127,0.6480434764850498,0.5790712356069853,0.598650222294448,0.6036772804139503,0.7225401962907787,0.6658416068660729,0.877457270383235,0.7702359340409807,0.695079417861195,0.6515689224710297,0.6317999200459813,0.6345673847422704,0.643899514947402,0.6029854407710789,0.8310612542545165,0.6961624047848575,0.7031991146444673,0.7074275210076426,0.9568342923905149,1.1755327292963904,1.187034858775634,0.7938057428256573,0.7920028572547341,0.958491328507341,0.9770483565108308,0.9821563954301692,0.7337964209575069,0.7342530068394209,1.394050740507186,0.8050492842950896,0.720813379838002,0.8706851189732328,0.9311571259997474,1.1822501385907311,0.7878090949996147,0.8578317639347396,0.811553412730572,1.0694086468625643,0.8129376466161934,0.7471350994015262,0.8936926600796927,0.7683101280530829,0.8991512995554959,0.7294434991201527,1.0393737727385741,1.4045864428386787,0.891184617993076,1.1612986103340388,0.7486163647353193,1.4422850631250512,0.7433730891949151,0.7918769385049556,0.7218939671906984,0.7541814685765421,0.6966596305386671,0.7556179891522575,1.215324704110488,0.708403291489455,0.7955149470675338,0.6347044658120229,0.6476097972323536,0.7467944503567001,0.6732522231395663,0.7552310447753776,0.7374615609251735,0.8639457361393261,0.8048703667246035,0.8009488621191705,0.7153275798694826,0.8152194428999959,0.7527446105077961,0.7011077583484351,0.6054704860139958,0.929538979567569,0.6445555380749375,0.6368096345160913,0.5967799298928174,0.5490173401325088,0.5349541266314083,0.5135749912256363,0.6795382150518822,0.44239748031755993,0.4152066318895274,0.7521322343594293,0.3847891330329221,0.42458908173623455,0.4037538546577355,0.4802319130639417,0.5972061368118423,0.575529338310537,0.5830774642723664,0.5837388367641287,0.7957267113383424,0.7033832175897003,0.651017813041954,0.6010168579043794,0.5842250622041515,0.5191983654222625,0.42776606837810055,0.48092635863973954,0.40121573777148534,0.4368044261399828,0.42630839213232313,0.5005818995822005,0.4983833603186919,0.5416649793269086,0.4788444257684402,0.5673393008014398,0.5203886963871727,0.5171693410629549,0.6441102872913786,0.5384104778323943,0.6560350964681203,0.593204821584354,0.8962850223286546,0.8578940016768628,0.6341650868570643,0.5858951060842011,0.55342621051087,0.5875669558669031,0.5636996223103814,0.5161377544974995,0.4708561016051315,0.45452711527032813,0.48385256115100117,0.6247753601837958,0.9090369526661483,1.9069862899548393,1.3018393789692737,0.7203789636836145,0.5780407265184087,0.5566525051751776,0.5221571410328525,0.4818306121310788,0.5254522119751903,0.5330134673731934,0.5334076621764582,0.5648008911229747,0.6623109853367319,0.6563433407564467,0.6289348068484844,1.0055413677171008,0.9268209429161857,0.8968398961464253,0.6163940149152549,0.5490556050229863,0.5555611265295174,0.4668900529943559,0.4867531821322914,0.5214467246267087,0.5695214386069295,0.8553922615121965,0.5731353351411077,0.6471688376147511,0.5966913738553706,0.4601553432819658,0.4531916591862465,0.5026071182840465,0.5417296486245676,0.6322497638725235,0.6758590124372266,0.8964175139941876,1.4107138512785928,0.9490096385676762,1.026468336494756,0.9807795975502883,0.7867991474765853,0.6700983560250493,0.5781121087656107,0.5731893430238127,0.6934320345683812,0.5099060671771343,0.46414362056176683,0.6317110259437058,0.44638852818749825,0.4767743294256613,0.45234445317648875,0.4079481000206398,0.4269537443327396,0.44302870034152186,0.46044018807546816,0.43483155776164417,0.5115234874638441,0.47835378777186777,0.548583378001834,0.5836236080440738,0.6198558409499734,0.7080849853735145,0.7736547063306937,0.7667391064993481,0.7747507554529862,0.7075528707542786,0.5825282861068544,0.6424208048773361,0.6386922037774545,1.8825463207352213,0.8491080888316891,1.4068253150944943,0.6234911166780874,0.6122472750698147,0.6135013647070533,0.6850329263042263,0.5214292984467076,0.4554740597224528,0.6408889819186915,0.5882886490353636,0.5570628249972258,0.5131262411026304,0.9183743124291255,0.6281789285631653,0.6584439607376583,0.8179650932817761,0.4977250864992039,0.6515480541597173,0.6420700865782458,0.7038533766029554,0.8228496713071733,0.9323743623432622,0.9270190309635217,0.807043569672174,0.6707261971954531,0.8977013126107444,0.7253973758153978,0.6170020075397349,0.832599074116014,0.9084575235042859,0.6228692727924487,0.6923910572860612,0.8681005939310878,0.801043196934313,0.672338696842229,0.7237177950574425,0.6194624279356342,0.5954086928268381,0.5551827562282332,0.5484089401593029,0.5457223647987226,0.4752712174181528,0.49754924396795847,0.47186306592778676,0.514689757023133,0.458253689147686,0.48554436223183034,0.6304423061845922,0.5647216195463617,0.5437702270002528,0.5964517900536319,0.8738944399619396,0.8449688483026498,0.7282858898023314,1.0217641802102944,1.0358200108348028,1.0246231141470878,0.7876782182427922,0.6600465871339312,0.583263286689644,0.8929994394528016,0.685819711826061,0.7629262208409842,0.6632725442506591,0.5818018864026079,0.5577124085463817,0.43793639104029847,0.5311195822233183,0.4293227699683445,0.49525868084499525,0.646949892083706,1.557306935864724,0.46705469038147207,0.5534504190739649,0.7254869812625452,0.6774973438614674,0.5319870743879395,0.7083262274119232,1.2313960412490241,3.247228685386935,4.835984911991014,4.864722816732718],[0.6853230180315996,0.4572059548583541,0.4276130356354498,0.4137149190000757,0.43397759320661705,0.433620809256149,0.3566918731378579,0.3637376105892139,0.3487805672925181,0.3524778670507492,0.397117768003482,0.4918949192715479,0.425260313451409,0.4131019252913857,0.555356608819635,0.5680370580950784,0.5618131218857795,0.5954320442220848,0.6920575735989613,0.6375014003141886,0.7058509098398331,0.7034367926424101,0.887197777917139,1.1185307174903194,0.7255953911042421,0.7317753467275195,0.6203710436156417,0.5356374023676992,0.557452998936342,0.5404890304417208,0.6717199133944758,0.6202136817037304,0.8280978073885024,0.7457541336158064,0.650690000854126,0.6036368666205413,0.5779671024898432,0.5940580192971778,0.5847168680008753,0.5519692467830762,0.774775815213779,0.6462647604530487,0.6475373887926578,0.677208950376864,0.9288075480522917,1.1594936449322533,1.144985963806303,0.7703752844293956,0.7536005351520745,0.8986355329609149,0.9115033684673733,0.9506658113725951,0.6892712851899073,0.6802962945788844,1.3625582558168474,0.7477502111749933,0.6607900969094243,0.8004462364105567,0.9078273795244148,1.1624935435562551,0.7646787397398689,0.8524431196419966,0.794528525732441,1.0810558955866636,0.7998232363653409,0.7212067519854488,0.9224709198218172,0.7557934821551079,0.8933983881311949,0.7203586662862679,1.0566205301780078,1.4909020947914817,0.9269826381297986,1.1964840468436413,0.727623354187145,1.4463317048096158,0.7288903469384026,0.7832660406425309,0.7072835088038093,0.7010482808161987,0.6525793386467323,0.6735200965946062,1.2025495077684307,0.6839365809993341,0.7286925792499643,0.57776148670308,0.5998117314037547,0.6797437272885668,0.6303674382637869,0.7428652970206691,0.7159957267017317,0.8374800655092237,0.7776282018771289,0.7739826293506789,0.6680948835509581,0.7574916603785503,0.7069128811485386,0.6493570800677209,0.557984831009037,0.8921586865511977,0.6053478310620435,0.6221581184832649,0.5607418080110796,0.5440014332764564,0.5096926576389932,0.4997046040797702,0.661731058262041,0.41356835164380273,0.4163420800623863,0.7472561651706603,0.37558545689877565,0.3765071185884419,0.3563795314486605,0.43566957316621596,0.5634610803424351,0.5184295895445483,0.5353554644798165,0.5511683505067725,0.7857857982086746,0.6647222724311945,0.6269326174370038,0.5520853846489556,0.5480918736477375,0.47262174514243105,0.3909050380709016,0.45142806115780787,0.37673605565973267,0.3937232578507907,0.3782573770315964,0.44487770363271445,0.44769201192657837,0.5024830181066379,0.4241134429889706,0.5487679756093495,0.4668505323284323,0.46048899876780636,0.6176209703636399,0.5283847836723028,0.6566915108978517,0.5488433042319261,0.8702219487752668,0.8230812841798797,0.6094522134089668,0.5502080714480171,0.5146972610483186,0.5394601321260087,0.5113118913039201,0.48480429416648946,0.419080996302895,0.40237560077921986,0.46769917657012033,0.6051678791090005,0.9601773865652445,1.936233551167899,1.2028345774701732,0.6981123021428944,0.527882164109836,0.5178367055462427,0.49323002973393704,0.456916475151219,0.463020475342803,0.4985371366525382,0.49324402911305537,0.5221443343043625,0.6347109878535723,0.6129267142381243,0.5820053811199436,0.9652832745472255,0.9070423926379101,0.8801732934945062,0.5830507018426064,0.5069592321009382,0.5112277737338318,0.43761689509531204,0.44343640466289447,0.469407362412708,0.5133990669883708,0.8527626468091086,0.5177807453302171,0.6301034277875911,0.5657258980095609,0.42949478016885034,0.4200365627735668,0.44446730268087,0.4936899132481096,0.5747497241156916,0.608466191362306,0.8331872648407505,1.368021007765209,0.8914963211388716,0.9672149126537971,0.9220008787939356,0.720628485491281,0.610917725542145,0.518444469696824,0.5304988621812899,0.6751598266281439,0.44552562465908147,0.4269438888210645,0.5582829614010626,0.4120896511881923,0.44434362039427144,0.42198253676698466,0.40947090359029426,0.4544783801634061,0.457918210866065,0.46753176794405293,0.4814678649780593,0.5716015237694032,0.527758750898059,0.5976329415172481,0.6524111205840074,0.6816447890878262,0.758475234963102,0.8278968034342994,0.8029607642003358,0.8444340338619197,0.7631202314509621,0.6428584615603549,0.73539747511494,0.7406576578701985,1.9629495057589952,0.9388358477703449,1.4802639469367125,0.685267032116422,0.6757560231538098,0.6354611205836546,0.6813561320991681,0.5578743610767227,0.4741874084545665,0.6502495332332333,0.5795915721714895,0.5795754823048757,0.4954705820505438,0.8607093259832681,0.5915131126056513,0.6200221444615301,0.7802019790934392,0.47630748423061076,0.6101226765882665,0.5998239630336044,0.6702950616021772,0.785402123370481,0.9739171578419065,0.9131347856453117,0.8000675656379486,0.7079923561124735,0.902416468619004,0.7376029206454282,0.6566689961450011,0.9025208969769694,0.9634805484353482,0.6838903972803795,0.7845844110433773,0.9651439547866969,0.8807159675537738,0.7591220612321062,0.8314959390735086,0.710762561333148,0.6800761154706715,0.6094095658123555,0.6151380313044952,0.6409729727714827,0.5517244416179841,0.5490734897131778,0.5430371129781815,0.5776954614893768,0.4897570780843591,0.5014350047504066,0.6569993549524262,0.5896372999823055,0.5418084342294323,0.5862527906194118,0.8374930907742482,0.818618312973954,0.7183288749890941,0.9452518995159243,1.0004898791667722,1.1045747119776665,0.8091187506108098,0.6838253390814513,0.6083082424737108,0.8842387458461629,0.7080219820945217,0.7696749275971825,0.641573486945004,0.5684770348344376,0.545210513427605,0.41389945140622764,0.49448830126555876,0.41421631578683876,0.4611002805019511,0.6580151641979785,1.5671505689222271,0.45522503049530955,0.5696831005415738,0.7375778557357968,0.6534797371223979,0.5368176320107642,0.7715965936619651,1.2835950198066612,3.2615550232844606,4.884457381247763,4.984927290593425],[0.6673437295985482,0.42257295046761406,0.3952614514339239,0.38339306728871814,0.38076600775149827,0.3836753975850407,0.2910489967273501,0.323228913226193,0.29091767441427935,0.3003167361115205,0.34683113159998274,0.44689991033155785,0.3675042770150809,0.3789148808942776,0.5318700269233382,0.5194793843114626,0.5167167662309793,0.5390740774239732,0.6203511404971863,0.578456142580847,0.6314015904228212,0.630597690014239,0.810646522138144,1.022643808890145,0.6706051801796176,0.6782757562779356,0.5574649821255864,0.47532798624798717,0.5006215284667871,0.49294960983904296,0.6261663302120206,0.5686687022258907,0.7799927584599896,0.6915661997941318,0.5919341020561785,0.5464440261540608,0.51542058350383,0.5333742669843653,0.5259713436206236,0.49403480173806186,0.7776809253687691,0.6138990775696702,0.5984419543981333,0.6386770232481209,0.9125391742890466,1.171658215311784,1.1533619215643924,0.7340283253292648,0.7157887027585456,0.9037656306615054,0.8681548569395955,0.9024003711560799,0.6236671317687246,0.6240512884372131,1.3411980497540865,0.6782593753695235,0.5992303635772539,0.7446095738169697,0.8561610564514824,1.1309226310554283,0.693079724454393,0.7774198444165439,0.7310313338399149,0.999160735880704,0.7209710071317731,0.6520945180898197,0.8523507542682222,0.697943299098234,0.8325899501834564,0.6649476097063917,1.0013801866789478,1.4223548930864442,0.8789785214810721,1.118029138484165,0.6725083483212788,1.3782251085094994,0.6652480585275476,0.7197300202030339,0.645917664127477,0.6595865447508062,0.5952640154253066,0.6187026933373387,1.1559890665523558,0.6097639868664152,0.6783482772078825,0.5127752961188939,0.535773083753032,0.6315774173356601,0.5703771555984654,0.687656969197361,0.6621483208394229,0.8138504507179375,0.7345774214617417,0.7188957255072228,0.6292842724707164,0.7326737072913871,0.6922877547144144,0.6062953303012192,0.5284877026735701,0.8449794328356508,0.5635580987259101,0.5902217163755227,0.5017599103151981,0.48633046145128145,0.44803307256528047,0.41910596573234177,0.6523164298315463,0.3482423953666793,0.3783662417243858,0.738857975045353,0.3288526852274961,0.31412975073927996,0.30637411867616643,0.3900064168057201,0.5260425977933498,0.47674622560951213,0.4847986351832822,0.507316042366906,0.7105377195949795,0.6013925013577273,0.5607938108937446,0.5046323634582897,0.5052082922167282,0.42794898700480277,0.35474926665601964,0.40282605607067107,0.3214014578560147,0.349577266765677,0.3228746472148825,0.37366255861414854,0.39394602530552203,0.4511927617955182,0.37632912151944586,0.4940002446496957,0.4226720877203428,0.41940403878060833,0.5892938703439743,0.5262135479901998,0.64662173645958,0.5282198728380268,0.872809093750845,0.8107098681551352,0.5541251860361516,0.4949001741562175,0.4447114708333589,0.494400073233097,0.4430954255989647,0.4295267394327491,0.3499747752316284,0.35457981432154695,0.4317250902029149,0.5791065150021213,0.9660576661826864,1.9409340824987917,1.1850542493542406,0.6629448477800655,0.4887984870025813,0.4710426505570801,0.4243373027475341,0.41257545638477766,0.39802003212350584,0.4295373706351432,0.42184654121729315,0.4483010120946932,0.5621126871524611,0.5685480402628772,0.5945990903121356,1.0252433822718288,0.9687530683185569,0.9306263787163959,0.6065585936850327,0.4923301585229565,0.4743814461300153,0.3740048909539757,0.37848406345326474,0.4105272380742976,0.47023738086896516,0.7958851373155273,0.46486801251253645,0.5462971007234152,0.5403265331213069,0.3504397349264284,0.3472053861077325,0.3808774201848145,0.4367181418236055,0.5372759867844646,0.5817606397011256,0.8354044043582347,1.3726060087956677,0.9114397500352932,0.9788697043008675,0.8632784294488809,0.7071116212375713,0.6044683311161084,0.49110516546252064,0.4918514414613373,0.6361184687938227,0.3982630970717584,0.3825777888120116,0.5191580841306105,0.36727049764109676,0.4118985511509138,0.37733568211921015,0.3745169291052103,0.41820666735169104,0.42141868302376945,0.464468602925895,0.4602649751753347,0.5333566567241476,0.4933595015765776,0.5742453413187517,0.6312191994073644,0.6551602257595172,0.7191555467501416,0.8127967546842951,0.7911996587938646,0.8262213440573019,0.7617186721198064,0.6362683326793437,0.7183362970765369,0.7265407146939339,1.8984303633585056,0.9287191621530605,1.468392781837412,0.6673581636843415,0.6476678273490573,0.6009952089669336,0.6288513456658723,0.5439429334061817,0.4380109158024526,0.5988285745500354,0.5244943974075519,0.5645409478669228,0.4661005589843038,0.8257811862732793,0.5796257995442106,0.5977461269200747,0.7616893364552341,0.4408649776562504,0.5667608965493176,0.5445937966548294,0.6296824281445588,0.7322799498166253,0.9311473064082798,0.8695839426275981,0.7479018028817825,0.656922755416225,0.8424749867135668,0.6957845390021207,0.617792640681955,0.8461247762210714,0.9232084681838179,0.646083894200068,0.7437626220817581,0.9257680942647734,0.850297391528915,0.7209594947159221,0.7930386794701818,0.674630123798462,0.6407516784976104,0.5653881692710706,0.5682599382936339,0.600328941921361,0.5142638982266656,0.5136868518306625,0.5226635239003053,0.5616196451718001,0.4679410986199188,0.4831173722896086,0.6651442537968308,0.5826160443292923,0.5236430758273737,0.5882306443996831,0.8389839816436963,0.8139683240732924,0.7160324911046894,0.9357293090624158,0.9760234893232969,1.1143624451321523,0.7993724617487095,0.6717089742182841,0.5870982742180962,0.8703972265182364,0.7048064067949058,0.7767856752888613,0.6426113096594883,0.5541164922624972,0.5175086429136307,0.37925176042518755,0.44676847325343977,0.38148705028665547,0.4094523945738056,0.6137848368228463,1.5370472071359018,0.40840921116460677,0.5230832260021392,0.6866328530563297,0.6206476453423946,0.5014804529658243,0.7191972737445536,1.1291237851011697,2.9971711404557198,4.4713637623542795,4.418342183830987],[0.6757868744073542,0.3984087242415606,0.37942760802919007,0.3454593909133601,0.3359941818530465,0.36837323046045944,0.28229962972963774,0.39864377753320357,0.3255432526040463,0.32959251117476046,0.3904976946513033,0.49670374983845805,0.3948329575883396,0.391193690851053,0.5559456091779723,0.5197111272008953,0.517291888244132,0.536848721176912,0.573917239472986,0.5627146408587901,0.6049327820840731,0.6060775269533477,0.7595744510494035,0.9170009395667803,0.6038673954488777,0.6066209884129882,0.5068322368525121,0.44892750025682004,0.5009569398924176,0.510910566055602,0.6291946311439097,0.580027451675877,0.7727839819916132,0.6872988340619179,0.6005189119037482,0.5511768840386896,0.5271336422536271,0.5235947309400234,0.5073331388329287,0.48793312665309063,0.733649518658162,0.6016836994601484,0.5791459688921238,0.6409077650598801,0.8806936596941416,1.1464420995239528,1.099171341836854,0.7084696469123747,0.686218575246031,0.8292863897200365,0.7907350288430959,0.8875682705845761,0.6125230523969488,0.6041283812366658,1.3450380908430013,0.6727344004720197,0.604017008603739,0.7248902378990331,0.8738140558857423,1.1431371548687574,0.6706150354994677,0.7466537378117688,0.7063316212054969,0.9549379872080503,0.6883265340738529,0.6315765187070925,0.851781191023144,0.6920635058925619,0.7755023892770573,0.6526088830598765,1.0038080236483837,1.4704051846632396,0.8877977450281294,1.0856557257449688,0.6461948807425641,1.3193679349567882,0.6275620461456625,0.6930046945535336,0.6276078697263474,0.6574116368185712,0.5899705194037851,0.605473481909987,1.1637377429940587,0.6011541281697611,0.6466859579308124,0.5192471387143137,0.5320858829181804,0.6331662340801639,0.5723800918252018,0.684348323060419,0.6376254369221056,0.7798726446158669,0.7021135867433357,0.6933463497080484,0.632057703027758,0.7187123525197043,0.7262573366274321,0.6411145869102385,0.5892498720884186,0.880519037669188,0.6207238671902803,0.6693002892760692,0.5643548013875844,0.5466273167407776,0.5214570522421594,0.4736331809636881,0.7265148808216311,0.4117616604703029,0.4411960974659768,0.7835779471568847,0.37422727707476483,0.3266140081319459,0.3095869415071555,0.4188421375489795,0.5579187317390192,0.44365420869846023,0.44092816595662787,0.4547123520669049,0.6461360712103518,0.580746162859819,0.5261345759195227,0.46775954193935343,0.4338991482058573,0.3764544710578459,0.3699646211775894,0.4118190956812121,0.29119783980303154,0.3680836653759511,0.30344910560716093,0.3641008357256659,0.3487191471623882,0.41427890605437,0.3495645269953279,0.5156269558758141,0.42535395616914895,0.4273239870886698,0.605461586812384,0.6289185527224831,0.7176831950391126,0.4641453161008196,0.7849591180607478,0.7009748946408283,0.4943392584634923,0.46146434711933926,0.42813250208548387,0.5081675027097865,0.41388281509262437,0.4688351386914911,0.37119437668385113,0.3892248672446588,0.5023337252469964,0.6330447062117476,1.0536783970663688,1.9581120358407273,1.1743234696598324,0.7238418671006762,0.5491736719749096,0.5377038529216461,0.47065355197430037,0.4690577260480802,0.4174106684857048,0.4582346536753744,0.4420672395473904,0.44695291499272316,0.6150804678119989,0.514047382478525,0.6005900113915892,0.9762170570698235,0.9542181428405565,0.9380588687084124,0.6380756101779391,0.5007080612081993,0.5137571387432763,0.3952946146730329,0.4094865210675872,0.4766676462729929,0.525996210850813,0.850873119382907,0.4972263401030057,0.5878086103456519,0.5504139926406558,0.38912602712737143,0.36737098705528276,0.3617145990486566,0.41622525693963774,0.5212052121909602,0.5408980821429693,0.7728647244721119,1.2960527166124522,0.8950727021267288,0.9357022529910911,0.7584699739012959,0.6797947021481622,0.6023587811143415,0.4584839027613106,0.464388492043429,0.6230778851917176,0.3736860061739971,0.3724931421350006,0.4467243889417342,0.3893772949382076,0.4421138176734639,0.37485911804906785,0.3914968680154336,0.4554628513284909,0.4492198637658265,0.46588666119523253,0.4890936529287262,0.5755157761461828,0.5179078859720888,0.5962587436895537,0.6529071475089214,0.6717890773506021,0.7376361326586506,0.8128149603878747,0.7886695325305785,0.8471569056774079,0.7718485425574781,0.6468715656867446,0.7517729179395345,0.7648238639149438,1.9487778123252668,0.9684066745669837,1.5211287612173061,0.7179482426356454,0.7101598156736944,0.655630661374596,0.6712642901815442,0.5937617356485398,0.4854642331094103,0.609401850666841,0.5232797035015263,0.581987323161358,0.4665833984274227,0.8093355659584021,0.5759106034398895,0.5887021899528835,0.7675266569871705,0.4466132555517668,0.5739771881373598,0.5487865932719003,0.6487296169303328,0.7457121949869004,0.9790150237544957,0.8993509466365094,0.7702509113322362,0.7125857406375834,0.8733488659757089,0.7401089035145271,0.6705936624832026,0.8936119819095473,0.9629361291489275,0.6853058020592079,0.7915355751554497,0.9684943620370747,0.877255594054455,0.7490287138764359,0.8282495123055065,0.7116277684104947,0.6841982892128711,0.6174710376089575,0.6221072380278982,0.6452487392696941,0.5603730144816889,0.5614722824388135,0.5757415210957604,0.6017415868731781,0.5082926614737888,0.530515229027107,0.6828808162388771,0.6144185291425186,0.5352986482065204,0.6167782203280212,0.8298189208199749,0.8232049062765232,0.7280490675535113,0.8831077869686147,0.9384541787512667,1.1267855896212287,0.787398694812671,0.6709587509415871,0.5965326834389367,0.8699390809031646,0.6911048364812614,0.7439285189650369,0.6170684104381492,0.4997617440551623,0.4733799685104687,0.37282582424188043,0.39372296730727396,0.3511986088148381,0.4224000616517162,0.6413249417115168,1.5592444885961494,0.41704239707681096,0.52436263885706,0.7030752118844453,0.6377671112395279,0.47490530503425,0.7329352059289592,1.1538617405837406,3.016274009587636,4.498255738888182,4.480298627657218],[0.6226878900851494,0.44552658922948163,0.4675949275575333,0.4003327530554445,0.40844110423424074,0.4071073490544206,0.29340319304691387,0.31696717985823103,0.2996835431441082,0.32396330893329517,0.37535869693551155,0.45571289235384044,0.3684996062988634,0.400707204479276,0.5235074950394274,0.49297096000825347,0.5108911951731884,0.5210127294784724,0.6062117117970617,0.5520693453016725,0.6199216677378734,0.6159533244825427,0.8140797930916519,0.9904654936311754,0.6515310731000902,0.6580136303376536,0.5358391254936917,0.4577251252730388,0.49220431838897805,0.4787065476132397,0.6014876975522403,0.5111959184194408,0.7159582419804124,0.6374117979315893,0.5423431664204117,0.51317000856984,0.47594335261146664,0.5054932777306085,0.4856051461689309,0.464381454905983,0.7497338831175302,0.6228828501444789,0.61059245973077,0.659407315767614,0.9370062406693315,1.194150419586674,1.1983061566495117,0.7514646662562428,0.6788385002584667,0.8896081077365852,0.7733617664719223,0.8703975293981376,0.5810737454319232,0.5691659829050016,1.3040237909207448,0.6233237513382618,0.6238996954371887,0.6899148548388074,0.7888760091676682,1.2320705924309179,0.7031622665261837,0.7548508990448163,0.6836376045541833,0.9179298928575439,0.7125359175619113,0.6411914765914586,0.8171248476191646,0.6615680205342014,0.8033440623874161,0.6678513752428873,1.0026995627914415,1.3982439213272337,0.8727767482416726,1.0948266656979215,0.6618058806061968,1.3422568784619133,0.6176323646445868,0.6598183855173645,0.5977539943852933,0.6210313406392249,0.5324953924194653,0.5526880569081126,1.1073023033047533,0.5453153648970955,0.6377265365943277,0.4736492924750097,0.5041871857825371,0.575348421484595,0.5411498904455991,0.6584966185515672,0.6186561753749046,0.844505585820358,0.7213725155930836,0.669380424356938,0.6016974428714756,0.7121917487259387,0.6821864903963861,0.5573984721086463,0.49940304066623176,0.7637846095662075,0.5127272165036327,0.5543445184330654,0.453357065530385,0.4366063846958103,0.4475629327568922,0.42236219327993996,0.684758091487677,0.36185310855570446,0.40046356150200807,0.7266564368939004,0.3632100608757822,0.31858978518830666,0.29598282400473347,0.3887440113218952,0.529544085507714,0.4475806751778406,0.4516686672650475,0.5074246773049865,0.7134786809251598,0.5689860982075564,0.5523432055323331,0.4787894193827584,0.4760629386912847,0.39179250840719054,0.37105574740445446,0.4166699199749151,0.3564734853354079,0.3736666274057998,0.37319569197898667,0.39614103041581283,0.43144148403759924,0.5034606283367538,0.39919186707845217,0.4969792774618546,0.42691329801258504,0.4237114737923982,0.602421421094198,0.5760642012135595,0.6543423338219844,0.5057778879103866,0.8492378900441074,0.7840303336228568,0.5446945189028852,0.49122943892628784,0.4470563958093815,0.5007047408269278,0.40996803332359505,0.446395209932744,0.32863777989007126,0.36240448232871897,0.42946296568152403,0.5628027741187366,0.9628487005526958,1.8775308984400283,1.1382671216059856,0.6239139260023191,0.4567689270776399,0.43996644524209083,0.39007730548600605,0.39824245459529917,0.3890022484962145,0.43164887135742497,0.43751206868202935,0.43276280661937494,0.5684013542504708,0.539687400887344,0.633423718882855,1.0704507660933675,1.0305993553757442,0.972033947563287,0.6460781304306046,0.5074082177227208,0.5069033030793638,0.3749278504511575,0.3709341207416881,0.40306957173609653,0.45785052614199906,0.7219370973453816,0.44688096055001086,0.501255176374869,0.5731979721266737,0.3417479768911053,0.3525169794067621,0.3846799777433387,0.43712142445411634,0.5397369661160245,0.577143044906048,0.816090922440367,1.3453789792285067,0.9619923021307262,1.015147770698886,0.8068636851362575,0.7293574220995768,0.6538794352855456,0.5239836377858581,0.5307377161671597,0.6496203315585247,0.4454074460813021,0.4435145656767821,0.6043065079164394,0.4421991333853568,0.47863968765614184,0.44771580498029595,0.4465596288120904,0.4845438424593292,0.4871266310801715,0.5144010540585489,0.5205661054856404,0.5959002440442367,0.5453623480420834,0.6180888112766627,0.6822722435657401,0.7002654382648565,0.7272078442381094,0.8517698286966755,0.8394233573029027,0.8797837824593181,0.8113343881724279,0.676465110016409,0.7597226882474941,0.7667787857443235,1.7872912807244181,0.9942087882885055,1.5118514853556992,0.7115283030597609,0.6685664198816972,0.6295731796407854,0.6377819964965931,0.6077615471208969,0.4964707615905675,0.6533737219339276,0.5752074620216228,0.6184583193664016,0.5350702748652871,0.8493866563413839,0.6673941735068399,0.6954537266434326,0.7960118215242504,0.5029815350254317,0.6069391343631522,0.5478188718291517,0.6369140017634277,0.7207039288787831,0.9377080093784868,0.8717081458534696,0.7379279690101839,0.6617735092157588,0.8362720704890683,0.7092347401670115,0.6598390668425858,0.8697868786454714,0.9683951318742956,0.6925438711962574,0.7629295507879933,0.9216387290861283,0.86391490431883,0.7457420796953096,0.8026967590955387,0.7131355716613321,0.6802231746760737,0.6233053210386944,0.626324994897489,0.658809957398226,0.5790523418011586,0.5815518084756116,0.5856898996694693,0.6181279001657213,0.527816346352206,0.5498386260079625,0.7353936949872439,0.6326721696477564,0.5959190300649073,0.6596250153312002,0.922119880034731,0.878221875927867,0.7816848485093384,0.9599874328394458,1.0027291218842123,1.1841055414811994,0.8315295499852379,0.7156796121705475,0.6358551018234896,0.8766961981930085,0.7490463335488026,0.8241481236850846,0.7075543773025806,0.6202662955869763,0.5496329743581961,0.42734546907788473,0.47122076333557844,0.45346844124509267,0.4765036850094939,0.6581276637283018,1.52061346781165,0.47989808067243983,0.5801376510536975,0.6683415080669263,0.654247214903321,0.5341516787451733,0.7216910147446742,1.0102512687261573,2.5184223002050916,3.74061928502203,3.535458099860239],[0.6517528509982611,0.4774839713911517,0.6034898912489001,0.38879612497669513,0.42483746382542625,0.46076477061868326,0.31806954657597947,0.39519323857683875,0.33514620860114336,0.320289582755211,0.38208605538759083,0.46988273047745127,0.3712780830462021,0.37858413121944945,0.5357718915607859,0.4622228076327985,0.48830025525014215,0.5026690236855141,0.5485929078291192,0.5194805382780496,0.5711323864809864,0.562161023361415,0.7380782822000722,0.8520961086789121,0.5843354071523308,0.5859473571473132,0.479169412677937,0.42985465750442214,0.48187415084572277,0.4773457141772358,0.560584351929903,0.49556917771913944,0.6674985365554456,0.5919162314640926,0.5038765441586708,0.4997932888319431,0.4739907939969418,0.47877641182469205,0.453481373579989,0.4347438008271867,0.7534670692788233,0.5880227112865263,0.549992185533863,0.6316414780241786,0.8854864053789729,1.1920368213265842,1.1386503792430351,0.6856153384960098,0.6705844763485393,0.847551821372361,0.7235648589817059,0.8176479675902962,0.5531601792635432,0.5506228500253854,1.349717274642824,0.6298674827645787,0.5790858378487562,0.6824869518626041,0.8208944526655848,1.135999348725027,0.6229804789583749,0.6958913385350334,0.6419599523377335,0.8696682931493233,0.6411242037933882,0.5813736517871376,0.805914555875361,0.6477855275571467,0.7491938662560593,0.6467682389817325,0.9912463019812012,1.448498238808174,0.8830098955083442,1.0539166541502922,0.6105914982804491,1.2480744432539714,0.56128232479042,0.6140538442757718,0.55172864013598,0.6033753537331928,0.5497177484507173,0.5566689885623168,1.0902378445456151,0.5564409741029371,0.597176814324309,0.47494226239120596,0.47581799676152364,0.5904876209678913,0.5143117244007478,0.6168148645456057,0.5768721517828,0.7672222868224822,0.6557958694568807,0.6035874284691383,0.5652010621208018,0.6529549095490865,0.6752366888498981,0.5597618475289385,0.5235339962859574,0.8222906421610408,0.5577447296981394,0.60846932400057,0.4899659853956841,0.50676902656201,0.5451149147687728,0.48224321641702467,0.8236311149699573,0.47093799082184684,0.5077021233564984,0.7641049494925977,0.4629145430194757,0.356748709128754,0.33607788747638845,0.39402766957267826,0.5121187064237153,0.4152072107525251,0.42843458713787197,0.45388983185552734,0.6270180181176294,0.5427578190567633,0.5101142688036943,0.4457216938157617,0.39730772766432715,0.3722675088849871,0.38770779648969234,0.4301648477270077,0.41052193408472504,0.4104086136843494,0.4154370172918293,0.4462794027876529,0.4541056437676979,0.5660182016183385,0.4399453848205624,0.5503616447361165,0.4551054435166959,0.44615497971418566,0.633604253995076,0.6583895372031692,0.6926529842305513,0.46951447832727367,0.776243584123484,0.696316632204781,0.47386238649579643,0.4378988885574353,0.4104641055588785,0.48141044717159354,0.3749204974270183,0.4404649690442936,0.3370222728044426,0.3538052762659001,0.4830868261000226,0.5806407123931523,1.0680224564234353,1.7950739721499656,1.0921812008227645,0.7028875380060613,0.5108058268156475,0.5042292367349325,0.40833365962917456,0.42754453016094074,0.3708483223830662,0.41054965880827876,0.4055000847921289,0.3976103103746257,0.5785362888457078,0.5325145928008634,0.6372660637699137,1.0373232911183716,1.0330425348174617,1.003693667368653,0.6869806657506301,0.5188020213279827,0.5036422093280764,0.3760432830936845,0.3699798620220499,0.4298732790656237,0.4612385823548152,0.7453366314463583,0.4266626941978025,0.5076630290757186,0.5985533090293206,0.38237187480114987,0.38606774101453706,0.37501775191911835,0.4175097169103542,0.5028289649774599,0.5474541825532924,0.7769514928927483,1.3313111765443977,0.9360858555120716,0.9686517325437026,0.733494560321517,0.6894222268019785,0.6335057694590391,0.5135674809470819,0.540739350745031,0.6519818166736903,0.4699194438231144,0.48515307415301767,0.65250831829308,0.5561736375317992,0.6078209081768845,0.5568319967502593,0.5405321259174961,0.6023844589244355,0.588324862800517,0.5914076152732146,0.6117457628876461,0.714651534792918,0.6223507709716943,0.6919844205173853,0.7770229054830401,0.7724523010570644,0.7711614573062555,0.8987333843825567,0.8798735836709346,0.9763451232245896,0.8773107201013308,0.759104135249179,0.8697841071812898,0.8891187355330331,1.8797265459331927,1.1161970377304589,1.6231292365292511,0.8445091040402537,0.8201738369965206,0.7772771590211577,0.7449596757449074,0.7379026199674148,0.6177071901526344,0.7260184966268063,0.6338556770148407,0.6696497007242159,0.5904445395845026,0.8701261878423078,0.7029606778029996,0.6951578631286962,0.8227873605291982,0.5812259758406215,0.6723795211925022,0.6230453425294792,0.7242747615602771,0.7977744317105212,1.0827895947224642,0.9679734872291774,0.81462629810841,0.7999216871570791,0.952651216736312,0.8274247990432608,0.7951797853213805,1.0109878416910667,1.096006286147167,0.8167294477896444,0.9003688647465735,1.0532964063109882,0.970997867782598,0.8588579164999386,0.9232350300331724,0.844217566686063,0.8260893581654044,0.780318928752262,0.7820146997320744,0.8067138149712288,0.7086367850282808,0.7070428369295136,0.7118556193854337,0.7216824754873963,0.6341131843107332,0.6628588317582906,0.8153279295104316,0.6918674142790187,0.6333352728305836,0.7145508905678428,0.9715615587296988,0.9156007119115686,0.8409276843315006,0.9771084083839154,0.980948861816281,1.2611259447345797,0.8660540571506408,0.7455622008763813,0.6856789520155884,0.9187826030702844,0.8223580879678759,0.8621481505458878,0.7473481180524594,0.6834592065647432,0.6152951697956831,0.4747456867170641,0.490717178759811,0.5369282947863478,0.5869747597328412,0.7603961080258088,1.5456935887557104,0.5648363527069473,0.6726322677835345,0.7071252999715213,0.6926731442264634,0.5922453079052699,0.8195785026782624,1.0615933854067872,2.217158444801756,3.34822656504613,3.2543458402790777],[0.5792883306773524,0.3658053632002838,0.5120894527581645,0.30294191564175993,0.3417579712511719,0.36545788157885073,0.26493819362907484,0.40394891539222066,0.330450764982868,0.30109217626874485,0.3750862711501679,0.49151805543186944,0.36360484414933025,0.3575848533230894,0.5130607934937691,0.45013641914895053,0.4404714351613519,0.4489768208105548,0.4634929956055366,0.45547495191053655,0.47913541561974554,0.49111177610946627,0.6336540347233305,0.7624531228437093,0.5287286175796583,0.5129563713345364,0.412327553037485,0.37733350697545714,0.4210829218287033,0.46148969716139815,0.538188503393843,0.5248249938429618,0.6810354620174798,0.6075763272821503,0.52676526009975,0.47109037452770686,0.464042628594276,0.45163848962254044,0.4276136369845634,0.43583926878052265,0.7435842319978877,0.5576476796260242,0.5060757905835725,0.581268488353887,0.8599634125905758,1.2128718722805374,1.1655206709876296,0.6457775389604329,0.6308253134441713,0.8284116479888028,0.6830832738518637,0.8016456379881175,0.5599668195429113,0.5539604122125088,1.3710603552725031,0.6278275295645172,0.5489588978675602,0.6723451182603919,0.8087268783642616,1.101419134397154,0.5617162229591502,0.6398388612770307,0.5974774562312983,0.7952666179157755,0.5569801271705633,0.5307032316220562,0.7243663016463183,0.5762389055607012,0.6594661626882928,0.5710362222114429,0.9417488280155983,1.3614329185117025,0.8034993142385283,0.9622864071577837,0.5621988279119375,1.2004179491550582,0.5163836189909268,0.5865921943573381,0.5277606288324214,0.5887937980286406,0.5302830283228562,0.5476145156006605,1.0984017491844167,0.5327542358599165,0.5902789490760498,0.4789054316884033,0.46199275871603596,0.5680591854682705,0.4906881886552,0.6124655702457249,0.5496305758987092,0.7295997006406937,0.6228615971126332,0.5958805482947119,0.562998977164125,0.6470488808480873,0.6753140648035756,0.5835490715188377,0.5656258675842765,0.8652987565607618,0.6063894587047987,0.6877211609801486,0.5207996315239201,0.5517933237366072,0.5816581013777076,0.49726015686479663,0.7956611547880379,0.4649590095742833,0.48817485843211494,0.7407427092959032,0.41851912177298,0.33478447528187266,0.30540101348307325,0.36128259958589204,0.46541964592254154,0.38237214145366066,0.4043152387806649,0.41513979643146537,0.54077072732355,0.48500135059532995,0.4395150645708854,0.3895507935996682,0.37116973948735815,0.32887448510045125,0.340617115820987,0.37654113563092184,0.3573264031051262,0.3789866693937404,0.36826069544044454,0.3915237027885807,0.39902822547796424,0.5051041121203016,0.3917691539172174,0.5351056382506943,0.4324461027600363,0.43390449458028163,0.6474410076590177,0.6445953983945368,0.6310528948089255,0.4367117083022589,0.7464104205148928,0.6748614137040455,0.4324362018195759,0.4050913427492063,0.38671138263232535,0.454860989666274,0.35070336779042655,0.4224848903187836,0.34291522368871064,0.37474012876114177,0.516820360798041,0.6163158939455041,1.123775396164245,1.8046806742360317,1.1020137370952,0.7354888804443787,0.5358467223517286,0.5478789957310116,0.43453054860621837,0.4670904324368731,0.3660407429681534,0.3999557902462717,0.38184801030674337,0.3696503641113934,0.57403648243524,0.5156350338112182,0.6571083508909892,1.0502829417063289,1.0610650033487596,1.0146537852223094,0.6987518989341086,0.509346449228061,0.5131175570588256,0.3634382723868137,0.3712879008597366,0.45271588963308024,0.4887646821255427,0.77965695903316,0.4357727396165354,0.5125195000346771,0.5942945614365143,0.38704836512062074,0.37616926855220356,0.39697982223097894,0.42468451698044674,0.5148153825345201,0.5472091901058735,0.7723498880748703,1.3347714161986506,0.9437302942290418,0.9576915330351027,0.7009181902081933,0.6845691256977287,0.6234667431419247,0.48481208943945603,0.5219249499063292,0.6561127769941025,0.42646214540632027,0.4313240030302888,0.545112666787746,0.4750455960392711,0.5156774193473204,0.4592472499373681,0.4663812424971836,0.5378579399754502,0.5148984413804333,0.5225650631223793,0.5616093657707086,0.6635583580470944,0.5677980539208233,0.6544668923689464,0.7372646794940284,0.7321165565739987,0.7311169700361249,0.8760920369006205,0.8469341826470552,0.9277108638654312,0.8540913597239016,0.7344834892481438,0.8475688711789378,0.8819958851760645,1.8556085335778245,1.11411843824599,1.5995321777448126,0.8033261966375451,0.7817758274120156,0.7419622071837261,0.7179400945230211,0.7100389437220138,0.5787134584089624,0.6806195732471064,0.5959376011253643,0.6663599492481344,0.5643871611395269,0.810114970947379,0.6869131743403284,0.6707754795852781,0.7990173115885094,0.52880083705629,0.6154742042350764,0.5646321649398094,0.6777943412911537,0.7349448791555712,1.0123035959612683,0.8808284038889174,0.7592819397090944,0.7637521501051576,0.9093624552612378,0.7784177194801306,0.7597302984217551,0.9758468921936944,1.0722721333310676,0.782109013290005,0.8828278376793658,1.0522374047292884,0.97874608708508,0.835091560601168,0.9144756027336202,0.8114067174875869,0.7901284909516609,0.7191809673437621,0.7299802331091368,0.7687047105288733,0.656132498716639,0.6439117269196235,0.6804758717892037,0.6930569632336152,0.5901812372379912,0.6178379543477404,0.7884057436167514,0.6722940344064735,0.6131195889829075,0.7031308025648331,0.94566633645941,0.8920160781002462,0.8379134203517763,0.9801324372557055,0.9880809367169692,1.2746910407738963,0.8643081318486232,0.7146773718094573,0.6527722946293826,0.932138218251156,0.8311767176246169,0.8826189533856328,0.7461164096101842,0.6300272693504794,0.5610108464401973,0.4218080275200243,0.4134222909190508,0.4451472606876651,0.48394115856223313,0.6595558111668317,1.4710515102630977,0.47683216146007096,0.5603063137000854,0.5848978395888532,0.6251761699152277,0.46692901822098354,0.7247243498930016,0.987002681709778,1.9516148887455549,2.93998371824849,2.819847813823189],[0.5816620321360262,0.5352599507399771,0.7310229816998289,0.43007847761238666,0.46363207598413086,0.4852119912370789,0.35112529301336615,0.406981455237628,0.34130878453058155,0.3246334544742556,0.3784273750128586,0.4724842179578862,0.36556675490677865,0.3797630879806511,0.5143133074557873,0.44805983234795477,0.4517563943255561,0.4577576457562549,0.506066931305434,0.4822008980742172,0.5200333782633653,0.5204308706185661,0.6837885814658236,0.8411752429036805,0.5948312737420394,0.5827370717766593,0.47063862494466663,0.4060400832503505,0.42366456952289827,0.4490535891201919,0.5506954868935023,0.5059113852560875,0.6725881590389936,0.6065103921301435,0.5102469193760407,0.46235965237973004,0.4427005513476472,0.4419331804028614,0.4355391631434717,0.44143830588348104,0.8105271698902414,0.5895907947745685,0.5304591052907676,0.5998109491577809,0.9502892627542815,1.2984138180773728,1.2803378633368496,0.7044339214646531,0.666928550158022,0.8853351504919417,0.697348389020723,0.7829813029206342,0.551805637141255,0.5507252957236433,1.3733338676641778,0.6149152061864805,0.5638936108953438,0.6752363675045907,0.7842959423660708,1.1424351944899924,0.5949900031404993,0.6630043410583748,0.6082607917416551,0.8097605864341563,0.5839221496525736,0.5427422502903398,0.7386656944169075,0.5852534288467953,0.702036165050849,0.6106927706355371,0.9392900627167241,1.3138471479009306,0.8261319660019911,1.001811176740946,0.5902745286356212,1.2279851091095424,0.5286794862617075,0.5956376321837193,0.5238616240290641,0.5767332194319836,0.5116845617787034,0.5388792117432167,1.0852483775217827,0.5023930185700332,0.6085531364147745,0.4737703691476801,0.45296479612453755,0.547161560183666,0.47957790900497166,0.602829590193921,0.5624750672936714,0.7699304289308837,0.6623199040659353,0.6210853120896365,0.575533770608118,0.6778565149736514,0.689629310481713,0.5764147368417342,0.5426921996065653,0.8578931436488386,0.5801853363723758,0.658584017204154,0.5031562666481061,0.5472296113853526,0.6147567644804569,0.5520169982286146,0.88755995821379,0.5267509989948954,0.5418371885373398,0.7473308080281732,0.4990091018015743,0.40375863822656666,0.36128005122901413,0.382002054139571,0.44288998028549176,0.4416517044193586,0.43278919562960183,0.46835292977562515,0.5944697526421749,0.4944694418467389,0.47430230055073,0.42364962167239145,0.43042483508100393,0.3872693997254012,0.382838818679238,0.4632679229594017,0.49024871244718715,0.445254169477972,0.5285459805977085,0.5236094484231418,0.5789187815305931,0.7115436872471889,0.5377987750760975,0.6222861301475314,0.5056752022407867,0.4750586782711813,0.684590979888533,0.6120821172070775,0.593908470006967,0.5453540937437008,0.8418237380121373,0.7794007769838451,0.4883172140573449,0.4499172402417,0.42638950122770863,0.46048654603513545,0.3829171202021792,0.41197837109615576,0.35037512068765486,0.38433796187041486,0.5112572611595497,0.5857226898504306,1.098406280442596,1.7303508628897166,1.0795810850750545,0.719250401738828,0.5089211495706545,0.5301818301400675,0.41712099631353616,0.4658554457303073,0.38452835650333866,0.3854794031380905,0.3924824782982831,0.3887378618523538,0.5492954048060796,0.6020429951966397,0.7012163836378481,1.1204110049712115,1.1237387098510632,1.0382465632558862,0.7332963759536351,0.549284278904393,0.5218645193672765,0.3989312598829576,0.38257793406630725,0.4458578870141172,0.46372028074365595,0.7471177868690453,0.42173628803431057,0.5164577424058938,0.6527456816067191,0.43347115446198997,0.4447084154445966,0.48492776093725737,0.49946734440144813,0.5804355736618754,0.6155752875845854,0.8463140293142372,1.4401496745791664,1.0131690379986218,1.0202105894226052,0.7715955546866011,0.7402904549530306,0.6813113588523435,0.5926993865654953,0.6955060539002013,0.7723138216335182,0.5952362618425957,0.6295459983153784,0.771863579686364,0.6522013215461597,0.679605223099928,0.6486880043584681,0.6627628537424457,0.7023559039919547,0.6810517927823115,0.7132133286685302,0.7460337628457965,0.7934410506595301,0.7222280871709957,0.813910156275471,0.88648621753953,0.8508587196645506,0.8502659946148492,1.0087979306073795,0.989873943373029,1.107909510099301,1.0349797548469999,0.9299300894649878,0.9952792105454222,1.0464238072188559,1.7943799797408604,1.290774379328035,1.6629923304198722,0.9176270188586535,0.9009447957383121,0.846941623509038,0.8261790707879967,0.8535818138773613,0.7302404632818592,0.8267779951245281,0.754061882210981,0.8211615687224337,0.7624716044909489,0.9576889173791432,0.8668261096778307,0.8663664178118351,0.9263465825324051,0.7235499735859054,0.7465655056484357,0.6711499303149281,0.7589229237860275,0.7933826339187217,1.090545520929474,0.9414146302295474,0.8159888087389091,0.8264099048070986,0.9467878443228628,0.8327752131553279,0.838103550444265,1.0107227297678087,1.1056459990585987,0.8671571063836713,0.9433752432428848,1.0825177256887228,1.0303899285191336,0.9387583839380597,1.017027165525012,0.924345676917237,0.9042101468561946,0.8325724593980307,0.861274867418161,0.9163319002656682,0.8001643507729661,0.7970560516038807,0.8434954104083022,0.8602700499255916,0.7635698985837104,0.7922864323740205,0.9889425045440696,0.844878530677064,0.8094701274125381,0.8926549704098521,1.148167849631,1.0715468453925383,1.0300655540418444,1.2000131495919792,1.164537133218227,1.5190867485868078,1.0397721351514575,0.8773828395165969,0.8324897392732478,1.0846266082507008,1.0328906286726718,1.1029856082829004,0.9602127490354981,0.8622267809621679,0.722307286409727,0.6008617087912214,0.5828540139628924,0.6670724756944719,0.6468155984497356,0.7600714046032754,1.4309695832921332,0.6137900630422813,0.7247083728134247,0.6535021381461756,0.671031960248345,0.6401219279099672,0.8271944960314197,1.3786905457095409,1.460146595075306,2.1184182098622713,2.6246533657206395],[0.7405176855458661,0.6473109524778705,0.7328376814334411,0.7450160395067613,0.7047405362261027,0.6385139448629609,0.6347592949171998,0.7002854182757416,0.6560985438781661,0.6825129675689876,0.7218832911645064,0.7500331249749614,0.7126592822473583,0.7350499004998579,0.8024576779387459,0.717684730907937,0.7828129871738164,0.7890201914790727,0.8213362725994733,0.7889596380505319,0.8478533974305651,0.8196147972606573,0.9561366798464092,1.0047613972064322,0.8119313974446721,0.8386402392178302,0.7811831825943752,0.7563694878394472,0.7791015217489662,0.7643871530300895,0.7928290008873119,0.7333530104566534,0.8106996359830819,0.7806932534501826,0.7483881461898173,0.7589676610930284,0.7250654497712028,0.7821793418137621,0.7869511868749834,0.7543556934367835,0.841810474980076,0.8112802952691857,0.8064373819423322,0.9801429056126144,1.0235165356742495,1.2294350479100264,1.2142486693537635,0.9372092821425454,0.8749281074883337,0.9643151005082754,0.8843992370752592,1.0874583589625997,0.8921982076623631,0.8742672274909077,1.4708628143859663,0.8947580100975917,0.8676941830847623,0.8881906678755862,1.0183963940131615,1.3656657982655607,0.8633211812931818,0.8367287310660777,0.8315391845664419,1.012238176939409,0.8051320810777393,0.8176817468823859,1.0373308697530963,0.85215732740415,0.9252161042393646,0.8826063915677189,1.1735376667676338,1.49812024466246,1.0291306108754827,1.1382890082109103,0.8061899889481537,1.2377297678018016,0.7647528155279119,0.7899300814457082,0.7737411812428792,0.8517697894621122,0.7894134570365656,0.768481567988763,1.2623554433407431,0.7735491588062137,0.7953729433907452,0.7428955240417097,0.7556017810751928,0.7707659276426548,0.7910730545112977,0.8011960938895469,0.7597421315402464,0.8919583506387858,0.8014820837847594,0.7648116883271153,0.7680156575382404,0.8043861620675109,0.8548004294932325,0.7551339114813659,0.740388291650077,0.9557078832643716,0.7751411850312342,0.8498390465412111,0.7244870753906159,0.7277894860840053,0.7940510493559629,0.6946094934290524,0.9379111053042064,0.7423085400561774,0.7743324344623514,0.8944445611342378,0.7003340692285495,0.6532412317143885,0.6494399085202553,0.804262427105462,0.8966735784281528,0.7367019732477933,0.7726108373679795,0.8210140721234643,0.8969822944069824,0.7843398502811841,0.8367522788284814,0.7827102656694823,0.7559985054641538,0.7252269563073934,0.8132078485803749,0.7724818793025723,0.5926018099350098,0.7269278004726525,0.6540565738113409,0.6306056301282985,0.6365657935262673,0.5852310953968469,0.6459744296383318,0.7745662739791142,0.7675266526264325,0.8380404127417963,1.0092459785904682,1.2657124425146418,1.1992115817506768,0.7529864971430287,0.9882554344108547,0.9066125749834669,0.803947991597483,0.7792622681547478,0.7504771442411661,0.8835188320685834,0.6907932523260552,0.8478425994195703,0.6617276622735402,0.6590120114341821,0.7545605127740102,0.7873069591227922,1.243320780893382,1.7053783338146937,1.0786348082450878,0.8662275873094396,0.7304770132861357,0.746316734295219,0.6757826207748281,0.7180616753791441,0.7070884989382916,0.7806476306449984,0.828549151106476,0.7445477452028983,1.0907761645296505,0.8698851945568178,1.1017209473865053,1.4361633359605561,1.4495258060898666,1.427312586648216,1.1210598790590693,0.972937295666614,0.9255782870073779,0.6745234777117246,0.6802162896926868,0.7315168728504127,0.7639339173500075,0.982896529481728,0.7321807411630352,0.7548517796872483,0.7507243903973981,0.6533399415669869,0.6524600671292832,0.6678073067382939,0.7141636347737722,0.7533527534823389,0.7636866056551829,0.8709027468236682,1.2431141532007954,1.2323991851940463,1.249535674162769,0.8760127152394862,0.9833609090059775,0.9347328014561056,0.7563391702508545,0.763838547761477,0.9073353790434918,0.7328622761566126,0.6868589624468607,0.627471349548867,0.699865301119642,0.7153499405622026,0.6547156436161646,0.6992513264112122,0.7305249982376,0.7002678699271154,0.7084868125331737,0.7654401507220384,0.8205236787478143,0.7470721772271564,0.8166844569990206,0.8675414802636502,0.8501930675627228,0.8400190685511663,0.9986687269499538,0.9792893247765863,1.0301375740647933,1.0117986944243569,0.9280537198253079,1.010240766579942,1.0555976417512976,1.9324470270697915,1.255374785355028,1.683226299979729,0.9559757007232693,0.9489525925762509,0.9172369699143534,0.8806409122752843,0.9123981080604721,0.7941714905275734,0.8550369116419485,0.7807108962999858,0.8557864592794168,0.7644389965879193,0.9178309842019058,0.8788941913511839,0.8403289751539169,1.0144146862772463,0.7390150878189289,0.8094704238323179,0.7456660412789515,0.819325403185003,0.8501090096951561,1.15296320581937,1.0091773393174108,0.8792767076298108,0.9032206220970386,1.017697050059424,0.9197988335763053,0.9117756086865995,1.072948107378614,1.1507945558624497,0.9073672683589693,0.9948429467901071,1.1243325456284146,1.0535393892685245,0.9347941011400752,1.0106930917271524,0.928364598366688,0.9173863815693838,0.8674358138831427,0.8832568772989415,0.9112067566571755,0.8169483804331423,0.8141602592489227,0.8724793612150176,0.880367928202945,0.7964603789500667,0.8192669758408826,0.931811226698653,0.8681438988929139,0.8076580055918525,0.9388979641219822,1.0227358146615406,1.005274078266118,0.9875189939235413,1.121000610115239,1.1063147769917234,1.40166221587762,1.012182557938273,0.8816280961100291,0.8254175012585062,1.0558118937842838,0.9415278771313406,0.988466629919093,0.8571269744633095,0.708620177146367,0.7647512805775526,0.6900062918767496,0.6754190261439281,0.6267317407542624,0.6504905846827983,0.7787236951254259,1.452185152280598,0.6712153632162512,0.6653783676657875,0.6229838292365354,0.7665702830592263,0.5398472932167031,0.8274670000266651,1.1163985016611953,1.583920248013454,2.3909829700983027,2.7203196265511576],[0.7154577759243812,0.507860810624105,0.5559807987517009,0.42623168163503505,0.4242758472846386,0.40615190342004465,0.36952989790422,0.522805259446474,0.4393469498520044,0.42337195932528726,0.4769956910679099,0.560641385073835,0.4884026091084938,0.46381575698694755,0.6344343138866517,0.5610859644798011,0.5308895162917282,0.5604594376327078,0.5666296320489715,0.5639401997670294,0.5751289830556877,0.5762067151765655,0.7016803655566305,0.8067012638390252,0.6085562875323055,0.59404539003525,0.5060418428635592,0.49034881820950876,0.5307574787272966,0.5639015618825449,0.628309481138791,0.6297338519101805,0.7768915610071374,0.7014488760215472,0.6310722472159228,0.5850603459697922,0.5786359941496091,0.5645566478190156,0.5326001082762298,0.5221976378042833,0.8183253013830167,0.6298790453807813,0.5785317859459795,0.6479674481194968,0.9077443031169532,1.2635832585826878,1.1674839051883656,0.7016374504197859,0.7141162033355086,0.8363901460257904,0.7257916705071283,0.8248670005397067,0.621946174658821,0.593645539852426,1.409151379399737,0.7087515425687748,0.59835881853882,0.7068235433631753,0.8891358670973118,1.0650527328883936,0.6088868467224586,0.7464213431781548,0.7191864176622034,0.9198508699131879,0.6484622777706377,0.6286369498425666,0.800094441727628,0.6832345944660486,0.7342284770943361,0.6566492830410456,1.0223312352843765,1.5243300158439557,0.9428866812803519,1.0771238305390203,0.6564249484930929,1.2578266557385032,0.6384789305897764,0.700366521231536,0.6497758851635972,0.6737949530614148,0.6359845023927239,0.6347503464350883,1.1343959166927657,0.6806424960453646,0.6255660200411072,0.5671638257097826,0.5641444664206243,0.6731427360939057,0.6077767308647151,0.711908829035657,0.6382439291584662,0.7356821162330608,0.683098146257317,0.6759081202218548,0.6389854597742627,0.6923789125330428,0.7373871050752141,0.6520139242011606,0.6469444762033656,0.9361638512555668,0.7083724055094155,0.808906728356209,0.6643578526335103,0.6883894652279019,0.6940714652456734,0.6196701915717584,0.9237546004869054,0.6067146538326479,0.6207075575589238,0.8314098534202767,0.5420514603312513,0.45000949164494,0.43714028854246845,0.4819268445608727,0.5496289636904506,0.4624010355402327,0.51196882321993,0.4898026802765182,0.6284454932460325,0.6000912460830692,0.5305388694716456,0.4841894732352795,0.46177084781399486,0.4242682226272993,0.44863637595653677,0.46210575011954214,0.42101590604033057,0.46720769596493866,0.450842473118315,0.4776581630828917,0.47966524340965233,0.5459096398295166,0.47387949822066655,0.6569628173820076,0.5227901463984722,0.5278343125049876,0.7162556907113379,0.7634085602386214,0.7354631591842575,0.4793119328376976,0.7484734948205897,0.6576113506114215,0.5011152245443021,0.4757810355326102,0.48141882627347465,0.5337936722215131,0.46675785709331097,0.5199763245727482,0.4691207599150202,0.4766442143729504,0.634973797352984,0.6858561825414775,1.209813986451745,1.7585643516323424,1.0536065277881992,0.8381634805281493,0.6482665025526554,0.6672549465185136,0.5649456468102746,0.592357841795759,0.47721264021231036,0.5052453334789233,0.47025102703007576,0.46526411296887304,0.6704271202904131,0.5627578173356793,0.6989347296028511,1.0350713557002793,1.0704265711837875,1.0463701894525042,0.7628280795115597,0.5739139086888055,0.5698945079997977,0.48396821988506655,0.5056337733462861,0.5754908808430956,0.6004626879875781,0.876831141674711,0.5565732228033584,0.6610208821309167,0.6670488120673389,0.5120344585355499,0.49046347784630767,0.4834878084836866,0.505781678706753,0.5775076493042814,0.5914980040690928,0.7972953430690465,1.31784539619603,0.9441716684776998,0.9399255390947544,0.7013905861443591,0.6934592433530635,0.6604163208803567,0.5454158356404318,0.5997400578921466,0.73019288588549,0.5446246154039064,0.5329358084546306,0.5464277510816484,0.6147336467093668,0.653952594235687,0.5546364620477027,0.5796703540455903,0.682422205101274,0.6403129694300272,0.589002639758077,0.6842752560328428,0.8122618456173024,0.6807525903649749,0.7461262289556501,0.8525131134895786,0.8380438969885893,0.8174021191904819,0.969192098825246,0.9101300973627227,1.0084944863243606,0.9340737588296257,0.8599466352462687,0.9974841864746143,1.0492827413617358,2.0860285271257344,1.2569655426503803,1.7262093744612255,0.9790796200563896,0.9932361348629914,0.946838736173008,0.9143003231028056,0.8848910147685464,0.7483660658233043,0.7901967754703081,0.7282345130173236,0.7930650126237272,0.6641067749135997,0.8497560369026171,0.7470063186359742,0.6999987975647227,0.8451185279438761,0.6089141851948908,0.734388915273851,0.7302267407928423,0.8434943481153268,0.9025608102819435,1.2331041825306768,1.062773867662949,0.9339523536694346,0.9652576690561813,1.0806108504638523,0.967225444260238,0.9299333093653919,1.1488368260502653,1.2053795226805086,0.9238861132029176,1.076048424067326,1.2434653054555302,1.1186716235259964,0.9936449101564353,1.0981465398763552,0.9881872178364562,0.9814340920879837,0.8986427378122215,0.9153963698772317,0.9408868234483203,0.8098686197667566,0.7970449626627201,0.8538100621520295,0.8404898581139816,0.7204172420114482,0.772890001639212,0.8539560677809072,0.7757467100601673,0.7075411678790443,0.8318075559878234,0.9448307009001375,0.8945638642812586,0.8506067708953777,0.9951359290252043,0.9925571198653969,1.2962851948280876,0.8923406709773148,0.7565159014002915,0.7015754764062093,0.9618467130449668,0.8177065400592429,0.8580992294530612,0.7103974260084217,0.6007967484846506,0.6006531951966487,0.5325553759988483,0.48398710412582924,0.47721140920528754,0.5615999111584677,0.7512688306703545,1.4213297158059761,0.5510633360486474,0.6307986660694113,0.6924414018924052,0.7003103958886604,0.497399142278604,0.8483233404221712,0.9636422807858526,2.181051691702131,3.2505017294499217,3.3361776376737167],[0.6812164219570996,0.5209352161713067,0.6189774998403786,0.4468987404895856,0.4445840793025899,0.4231570339459577,0.3501691296073635,0.5168526384701246,0.4239594643589963,0.4041447596503742,0.4724093320725738,0.5681973603267,0.4847483933969952,0.4440156665122849,0.6302641049803015,0.5601123940118204,0.5274204113091449,0.5539644019491871,0.5639279077228402,0.5582435770721342,0.5855499886360617,0.5889666186695722,0.7146044811697164,0.8424689429560641,0.6091445094803034,0.6031086058696608,0.5011939852827157,0.47031481274060216,0.5278957075815084,0.5582645838284389,0.6414095792046992,0.6369563022029127,0.8044018790388288,0.7383551222583786,0.6461927736810235,0.5894471835575265,0.5771825773282835,0.5546541276988469,0.5191179435842013,0.5104610459422962,0.7891414949107338,0.6130747500039355,0.573128409064729,0.6423375113055165,0.8881498765120257,1.2291930463524128,1.1496399000196638,0.6905696160965464,0.6972903445485631,0.8339709596348663,0.7226279908185572,0.8381967986097235,0.6206895584251276,0.5957051260363716,1.398214447761865,0.7064389544581534,0.5929413899415831,0.7114302047553844,0.8899758674596278,1.098069611914005,0.6103587506425399,0.7453902564816673,0.7202306196904245,0.9455917951101341,0.6521834933592282,0.6204921842673295,0.8233288943358938,0.6819375002365994,0.7592728941896528,0.6665675965588165,1.0040864165775303,1.494953816685001,0.9327535485644122,1.0907651881902276,0.6536425364985919,1.3097946991795908,0.6417913318645025,0.7234808006291222,0.6666077236455709,0.6863258015552598,0.6408276616617286,0.6311130942744672,1.1424072991251675,0.6638294467555897,0.6280291621009398,0.5657518639683596,0.5638466377816159,0.6759776991050054,0.6152104245945238,0.7257139938391606,0.6598383261714135,0.7903299738781708,0.7206579769954915,0.7234525283818117,0.66674637916669,0.7386534266717212,0.7610826210682401,0.6836242826386808,0.6690787782721785,0.9634533231505064,0.7284980024956045,0.8318597559884684,0.6713273092090991,0.6951713467531309,0.702135891062937,0.6185584550374695,0.9370473899110183,0.6220385193189097,0.6380274595409018,0.8278579010424103,0.5492973821521994,0.43417920164389545,0.41897768587693557,0.47209601431521886,0.5538254667629349,0.44023949054321376,0.4858092799069979,0.477714509583788,0.6253045590928593,0.5672235260040377,0.511770622300375,0.4749165929361307,0.4401251857523769,0.40323212277772297,0.442772951635553,0.488241554577885,0.42420702107797026,0.4788830260637617,0.46368759492943196,0.4751401846295065,0.482786743992345,0.5497891792590215,0.4764269255237153,0.6608544353553055,0.5348592389285496,0.5403109792013235,0.7416113416567413,0.8073124987753927,0.762163637554458,0.48606419003271306,0.7813207045435421,0.690014470331777,0.47988098506603616,0.46257798925155835,0.4603356602022747,0.5359472119715689,0.43071796532497775,0.525333057561631,0.4517858860627517,0.46599111329662224,0.6302884861074164,0.6882682760784191,1.2056775446983197,1.7285348107897254,1.0456787091391229,0.8466314839823407,0.6601770004043579,0.6719562527602876,0.5605913523858719,0.580359917823257,0.4605391869992927,0.5010212809423575,0.47016625358657094,0.4576164937516923,0.6872615776907524,0.5563855422805608,0.7385197741320149,1.1129538858858679,1.1422956843711072,1.107823510945989,0.7970890963425704,0.6078974882042243,0.5950290061400841,0.4660733812083613,0.48452865736884065,0.5699270431205111,0.5935598774789559,0.878770895344308,0.5506816530269872,0.6470603079697459,0.6572126942800507,0.502540045077125,0.4861359811711696,0.4799321522178512,0.49861325552722324,0.5632929765081034,0.573914515672654,0.7757452015627817,1.3130368989036916,0.9838507728781524,0.9963532193952096,0.700781273943059,0.7118009096152961,0.6729932285998607,0.5541073692704392,0.616263495600114,0.7536010281441483,0.5760588782838789,0.5691955511026352,0.5772817542795873,0.6566317950677647,0.6888406056341667,0.5886507624726972,0.6388040768746449,0.7382961928782519,0.6881213686743413,0.6411901551779543,0.7757645067035073,0.8787341031746706,0.7511552242951217,0.8342329606832605,0.9444196557683523,0.9085177199092178,0.8680562295056796,1.0700624457382615,1.0221598602019386,1.1371439615346912,1.081543193697388,0.9814657080792669,1.1333397445892437,1.1954200415061478,2.11471414636717,1.4106037574526975,1.8195821633262979,1.0699784249404816,1.0604255490861891,0.9940345950520478,0.9522304645938131,0.9764683524857246,0.8125723234527042,0.8282184532740652,0.7942277559615072,0.868122234588902,0.7303078468516935,0.8863065651123069,0.836131732922314,0.7859273702004741,0.9048926608764997,0.6670677482361977,0.7670629962986165,0.7379533045328922,0.8526797021434692,0.901885982998262,1.255785156228601,1.0706320846614208,0.935229297540077,0.9883583027001547,1.092237487951403,0.9656765668530949,0.9647464871475024,1.1755510263529576,1.2254762123422656,0.9675808586700778,1.1219702828153713,1.2726213411593101,1.1554651359048633,1.0601236160955352,1.174330380891336,1.0664673212530729,1.0528566325323356,0.9558047068738715,0.9872083875902831,1.0382470325222701,0.8890882356281143,0.8696147478987831,0.9571097092781887,0.9471867108910637,0.8113123062521271,0.8715479712647916,0.9843304013580672,0.8778872980356808,0.7892349137443965,0.9518176949370258,1.0465137339910073,0.9955757457100001,0.9507959902061924,1.1399404756329825,1.0848683198324602,1.4698722810939493,0.9937393950692914,0.8536914534824251,0.7761133771201991,0.9962765802290704,0.8795529747340143,0.930178630553049,0.7691015339283959,0.6610353452760935,0.6306640029789872,0.5518332882018299,0.486993256562912,0.5041319347211678,0.5899064490726402,0.7769836623469114,1.3985499415757636,0.5782978555858618,0.6689429696713515,0.6895215132416521,0.7053364373144327,0.502840718803555,0.8889042548517592,0.9980173755195603,1.9346528786418637,2.83921051809958,3.028604231353694],[0.712748883679261,0.6112707705824715,0.7642591845005904,0.5413026551117981,0.550838874671499,0.5621911805018832,0.48034166719445515,0.6141217653351161,0.498162178239042,0.46241614746489434,0.5132246935466909,0.6164648094010401,0.52560630538939,0.47032994000950246,0.6281965148871914,0.5700018551960966,0.545701479380106,0.5630843579133255,0.5439950703378718,0.5692752451900851,0.5683552295386978,0.574716765951913,0.7098959356526124,0.8032048122087027,0.6071866358101015,0.5932013447276813,0.5162370872836631,0.4985870050812543,0.5494418487802586,0.6042492134593221,0.6309818157027471,0.6645748040665543,0.8043561073093088,0.7281788733314013,0.6485773084307755,0.6051360347070048,0.6249702722124918,0.6025962990707895,0.5601871169603073,0.5694140290105665,0.7897912461654052,0.6307162187522297,0.5963001605503916,0.6710691470319605,0.8651526777653604,1.2163033709313589,1.142066802942303,0.6884944914445289,0.7125555945875677,0.8425297848547487,0.7418377568155884,0.8408054975125288,0.6894634461777013,0.6599320326067003,1.472466085728253,0.7809098760352874,0.6399311823093576,0.7508511296260042,0.9274194480351845,1.1103688745089382,0.6306004782275754,0.7399083980064782,0.7242259549818132,0.9150077381181624,0.6260339996222194,0.6260583500500578,0.8138537472838624,0.6815013319174668,0.7136685976966891,0.6475433792039824,1.0034789171205118,1.483872040059411,0.9175090219511934,1.0538276170774479,0.6357141317306704,1.2039245872418165,0.636092938243145,0.7168601105312865,0.6739615121893192,0.696413000711279,0.6784491785472846,0.674778142481356,1.1543835412005539,0.756393566203435,0.6632947240667197,0.6172871781551268,0.6072925456922066,0.6941306555369327,0.6283422407748797,0.7507320794857504,0.6612129862807273,0.7349663038602067,0.693922429336558,0.6946496706535082,0.6506529095326107,0.707164492972858,0.7407165327217322,0.6744419018211086,0.687475155638367,0.9691303789668578,0.7541989869733142,0.8823240025381779,0.727000104906198,0.7687896700667275,0.8140358538991016,0.7342457939232817,1.0591150645001144,0.7485874404673561,0.7574639959173599,0.8632969251574979,0.6786063175594416,0.5695560754604505,0.5267407416292267,0.577664466941417,0.5956631243400409,0.4812528014280564,0.526917927289874,0.5162360613305547,0.5984656570303044,0.5710851148097437,0.5110610918511231,0.47829937997844907,0.46275088112357887,0.44707322776989955,0.5390817806208443,0.5677742728409856,0.5603237806127105,0.5875439836534568,0.6196767231795985,0.6148706170529553,0.6254542369590735,0.695837569069447,0.6185976154720586,0.755851186789857,0.6296763355506888,0.6241557682671743,0.8340453289264159,0.9212078772986187,0.8406484795955455,0.5448987919173011,0.797929431524413,0.715532165534097,0.5155734113587119,0.5072616378536383,0.5252334200701478,0.5912831895729704,0.4856501007336636,0.583868382883856,0.5397520527213342,0.5327581511716089,0.7043029813232463,0.733819124643895,1.2343581997041237,1.6321840027792422,1.0248379737236988,0.8744056957479719,0.6977744421476891,0.7334190393461851,0.6321778217477059,0.6508400028385327,0.5539172713395887,0.5747261829345113,0.5311705606773163,0.5187775779059719,0.7713490779463521,0.639600784781107,0.8414202772767224,1.198247834636172,1.2276724370858614,1.1933593690217108,0.8829159878315622,0.6849682804045087,0.6751279691087397,0.57653837695569,0.5872693826242837,0.6629275901975193,0.6709332789665107,0.9214026376730614,0.6380415631869484,0.7217561656196848,0.7767283958566616,0.6194445411432398,0.6162816100362805,0.6112920722704784,0.61126377759868,0.6679605669885735,0.6673904525052893,0.8544761344137661,1.3145241564653543,1.0442343719237095,1.0349120968299201,0.725231798634331,0.7831602644173473,0.7625485429992134,0.6645439912217816,0.7381029304388643,0.8795034720806065,0.7264393547449378,0.7142580907869989,0.7131471132828393,0.7949639434956431,0.8040400544361639,0.7165660682625423,0.7806586645297142,0.8623842665460975,0.8047331735482682,0.7741338180855456,0.8992619350054114,0.983852359037615,0.857113211989009,0.9340478720356153,1.0396680979696775,0.9970713686213266,0.9516584509584494,1.144611578414157,1.1057187760651057,1.215594050921852,1.1785223401207994,1.0870947276473915,1.2368143702884613,1.3163356880339747,2.1578846736956763,1.5278727924514077,1.9005290882466783,1.1801786515118828,1.1656619519365943,1.1189213845129071,1.0831036304164519,1.100196228760538,0.9537623233195371,0.9840380500148724,0.953237524268058,1.01557722339534,0.9030733343299403,1.0229011580923533,0.9820711517159879,0.9172619031185458,1.0076289386152817,0.8060947564281002,0.883567680289574,0.8602159359927478,0.9661928958111667,0.9889810493690344,1.3173079299573258,1.144956694480673,1.015515805601254,1.0706434819217892,1.1592774194374655,1.0323795049474827,1.0497776199259548,1.2437159971913945,1.288268643564167,1.0532698263632332,1.2037639463226693,1.3385999641824986,1.2348118597546702,1.1462587251799377,1.256847227194626,1.1571972983699488,1.1466504208362127,1.0579379503642319,1.0998344007219911,1.1431846711721318,1.0030349243760743,0.9861127730237229,1.074404199986263,1.0609084090919816,0.9341386226229891,0.9979050824719758,1.0753990764639123,0.9910401653918403,0.9179112200380636,1.071815461605495,1.1567341247981102,1.1030765191379146,1.072384353431193,1.249464935972593,1.1705866342585123,1.562865841762929,1.0801727248878161,0.9575214330684285,0.8887871060914281,1.0809109843151603,0.9699132929264929,1.0206603681051207,0.8689436026968776,0.7783835071422149,0.7490600233663851,0.6936571941388269,0.6079643871604897,0.6286576210616683,0.7086995846539208,0.8735735612437707,1.4182133206575183,0.7022240410325018,0.7893289398345404,0.7520584377067029,0.7587747190866674,0.596091872809563,0.9994746538654864,1.144241452590106,1.7478363879937864,2.4673528692217466,2.895522601116564],[0.9699069182329848,0.9057247466088973,1.099070240110574,0.8329193747030251,0.8619254941262022,0.8663998596264472,0.7869198656110519,0.9068551717063853,0.7578114502297951,0.7026389993826991,0.7360173201465002,0.852705314338393,0.7774278059878286,0.6767653867807961,0.819116719245597,0.763945268250072,0.7418339148558892,0.7545571420343703,0.715122829964182,0.7530302543765607,0.7347040275935378,0.7431665025344864,0.8452690243323078,0.8461260681802831,0.7441485482908752,0.7211264442892358,0.714289521903489,0.7103529675425673,0.7864530898835853,0.8488935568306563,0.8217870991228441,0.8833027228857268,0.9790886697126753,0.9112862573158449,0.8742721527577215,0.8442139784182755,0.888694311533669,0.8545784769754747,0.8177581705415803,0.8460821879537218,0.8733137026270779,0.7895355589658176,0.8074977729611434,0.8810810761011767,0.8807144571305832,1.1539423104352953,1.132003013797207,0.8545313946591048,0.8423253085768885,0.9575472451791905,0.9401808787949174,1.1385963260433623,1.0022592970190671,0.9532479330939531,1.561363169571741,1.0158012661390576,0.8820592680088811,0.9660405803436238,1.1376957127111893,1.2456904873945318,0.8502292758893325,0.921098248626023,0.9226336055840361,1.0518914032194877,0.7901135597931078,0.8185906657705305,0.9859669166570699,0.8240338933806116,0.7893742387357067,0.767149229905817,1.0146997597494034,1.519634079600472,1.011490668468792,1.1032981442702687,0.7923560108048276,1.2255011635042714,0.816435142810258,0.9152981908548341,0.8944133335625509,0.939197302828786,0.9507241867449274,0.920210622123517,1.365136833014309,1.0805424217812067,0.9037982365967078,0.8834315828020056,0.8689684940009118,0.9449111320006308,0.8754970710013983,0.9407432920957166,0.8481345045037992,0.8768457003101573,0.8561413237255241,0.859783629715189,0.822080713514694,0.8460247448129731,0.8803862147184877,0.8753349794642166,0.9052073047277417,1.172422823141615,1.015260336300375,1.1601678114723009,1.0194646595472738,1.0589119167388281,1.1074457085482885,1.0383682578712656,1.3230631096406984,1.1184378259561392,1.1161144850412124,1.1283557723570368,1.0216848976964954,0.8987066069327581,0.8373021110114971,0.8471831605740833,0.8359086277903945,0.6691788235021735,0.712309621116728,0.672324152636025,0.727237246733663,0.7067781039882711,0.659019769161813,0.6531262330706861,0.5951018630187674,0.6319991494692708,0.7659173750750232,0.8400119377674081,0.8572719960579426,0.8846513936358651,0.9218000110478208,0.9370209988585174,0.9394860300346513,0.9867708624226091,0.9345679094244436,1.0630460681600096,0.9208310135213873,0.9090308792152417,1.1066070850013012,1.1657032972777481,1.065507528582474,0.740245284086093,0.845659313107556,0.7942812444923273,0.6942500584421917,0.7106858552117216,0.7370556587888132,0.8532396753555178,0.7242586648470086,0.8757512371982603,0.8473608670575046,0.829109156745804,0.9976966908792176,1.0128655168851528,1.4728308209872232,1.7184048681422928,1.1860264856475666,1.1250074213636085,0.9762000470738593,1.0261984037395784,0.9288441087792552,0.9694958264756554,0.8739436629818881,0.8759853506906503,0.8317081242821313,0.8161318983844265,1.0595548166332678,0.8576319228059001,1.0394182836406025,1.3125322015328067,1.325350114907616,1.309503740867913,1.0458822949483007,0.9272778342289059,0.948341408594359,0.893769996799099,0.8967215045645817,0.9732446118280242,0.9782944261695501,1.188313401065971,0.9574155737198331,1.0273175618179735,1.0432630569606067,0.9577557274284432,0.9526139255418499,0.9256137996663842,0.9105340491886464,0.8942588175460142,0.8582593969757989,0.9956653370346722,1.3540818124577483,1.1655321862913268,1.1864561258888422,0.9428261559608635,1.019308980714513,1.0000105750607182,0.9474233262070405,1.0386818256403199,1.1775364029109452,1.101777082499293,1.0639481014351253,1.0367131667457,1.1676594681438233,1.1699080530075745,1.0720891532015533,1.1236874497171876,1.2341845992169453,1.1621401748166384,1.0862242152591184,1.2213067733130836,1.3233052990212195,1.1674464519083552,1.2098084015000519,1.3083656757696351,1.2712254043533016,1.1944175542663418,1.341974990819544,1.3089212875230882,1.4402378344043867,1.4082098999421682,1.3547474930296353,1.5168243578663845,1.61693058827156,2.39208459937431,1.828037563077095,2.199611362818184,1.5322787857911777,1.5282259018271422,1.4974563422726164,1.485296405793097,1.4587103611181302,1.349709304733845,1.3451328753037752,1.3562956234226924,1.3885251915844166,1.2713397350869775,1.3842509968392314,1.319939787977621,1.1908530734373104,1.2649631861749402,1.1088317018769664,1.2465182843305465,1.2512278466241462,1.349372366805739,1.35176171938823,1.6405950223140093,1.4701547449727133,1.354092540565715,1.461490819600343,1.5219821137258025,1.3899305836817206,1.4137507126342388,1.5911805353305906,1.6006156583193822,1.3871403688606299,1.5489094674985557,1.6593943891232297,1.534046519350834,1.4643567595678795,1.568647850175653,1.4790897010820057,1.5036436929618175,1.4350743352057023,1.4756845215222616,1.489088481459614,1.3489843709907836,1.3567193298939286,1.4167629144924117,1.3850096957003795,1.2742451230206502,1.3500065524681224,1.3635071814606419,1.273498713601159,1.2474843906245496,1.3755448014299216,1.3811332179606575,1.3390240728017855,1.3120319618657796,1.5003359966055625,1.3317755336213999,1.698300687671672,1.2545775962866683,1.1948964624974359,1.1126300396562334,1.2280415314946573,1.155339311741546,1.1732280569846019,1.098594318964149,1.050866177734167,1.0395794708388104,1.0238854704175941,0.9232442772567534,0.9507602019163811,1.0863571483111183,1.2637355305405125,1.585182649028696,1.056514994907363,1.1603556160758473,1.1251133018819985,1.0990699116059186,0.9551902638660855,1.3598412657265644,1.2681396561643818,1.9472486003696339,2.5490976226879343,3.0672994153929576],[1.230779727112796,1.210517686855245,1.3942737883005907,1.1864508322352656,1.192610649344961,1.2002734932719075,1.1248042280867958,1.173763418377535,1.055866503146602,1.014847557174259,1.0145424385686266,1.1142725056188858,1.0655711673709674,0.9887028209438266,1.0957199253976395,1.0541321417527219,1.048899377301816,1.062785202492252,1.0445452664494284,1.058275917146977,1.030942360755153,1.0448465485867615,1.075606606649538,1.0583121053985172,1.0293632578447296,0.9893088431364888,1.0283806116380434,1.0385739642940703,1.1047833631554684,1.134154683427302,1.0800365161226846,1.1556523630788957,1.2160764127852348,1.1737831499769629,1.1473032467332291,1.122900137896355,1.1779535459164858,1.1587894713200593,1.1276683699576904,1.1468597124397921,1.084436364730546,1.060192866818367,1.095006547198,1.1509099228101556,1.0579890471068754,1.2285912635999434,1.2508209937509371,1.1448683979537475,1.0489008810864995,1.1447619913696812,1.1734073295141303,1.4379787503864028,1.2719089077276113,1.2518353727905291,1.6248468822697362,1.259565080230131,1.1864392142163056,1.2029137757306614,1.3570202929157857,1.4948141576608451,1.1279213069108398,1.1474015622551776,1.1766357184765632,1.2770803778581727,1.07988299212973,1.0883901871113033,1.2468343280856178,1.103613148243153,1.0434540142750115,1.044183601222514,1.1465368473320126,1.6170944161575802,1.2381210044544773,1.2970846899525654,1.057068904135824,1.373012868460531,1.0940051864132911,1.1794144585194943,1.1730496686927734,1.1801984823455902,1.214452936334769,1.1942470012107096,1.6052502567678317,1.404950671983419,1.1727225269177233,1.1671182719378017,1.16279418167468,1.2275665895033505,1.1422157087281923,1.2106980913328202,1.1258067424289622,1.092886349927009,1.1020740702959164,1.1120904236441043,1.0796701469326426,1.0976466119494601,1.1276942534751375,1.1167902915427665,1.1570872956534963,1.3823344289267014,1.2436463480690292,1.3652150798607376,1.2779486872853636,1.30223189306416,1.3600590156951213,1.3099600702250649,1.570233318224687,1.361069875385331,1.3432794585160108,1.3596476794963284,1.2982411690634212,1.2023146489144059,1.146548508013051,1.1218166787497041,1.07557247965977,0.9775331694628112,1.008443694589343,0.9821183839516087,1.0320219181945238,1.0181836748119697,0.98764854207707,0.9948385461823249,0.9541833370956166,0.9839068241719043,1.0562723137198633,1.1526922884199557,1.1912399979671238,1.170627024235625,1.205619587905805,1.2308284891165298,1.2258608118551564,1.300556731403492,1.2287406027844907,1.319808422561106,1.2060305238365738,1.1753893548532925,1.3773368133620298,1.3698457086832376,1.3062058639639544,1.0312540171526992,1.03452675818292,1.0471178925954003,1.0430502304498575,1.0209448943246195,1.0243137172752639,1.1334761130600979,1.0789562396266785,1.152337605943319,1.1526628689926959,1.1273404351466543,1.2285821895267917,1.2319265343088022,1.5517706507167122,1.6695376868827705,1.3334695905249851,1.3116721519001395,1.2346804586606777,1.270853552353343,1.2220955553899966,1.2337786473632648,1.1692129312849275,1.1651331766556738,1.155995829077408,1.128889108303473,1.2591690498279344,1.1857821878354582,1.2281121487730395,1.4230824925495902,1.4271014239218804,1.407644049164861,1.2054798588811082,1.1492881050307722,1.1647625926064682,1.2085644501520756,1.196302092168036,1.2589361765473868,1.2421087913248112,1.4183275325612439,1.2342044166583166,1.2865336011403259,1.3788342431732357,1.2590164611051182,1.2643454617014038,1.2343147109842771,1.197051089154009,1.1756190567949967,1.1141213470576727,1.2088082269894933,1.5029764588238443,1.3133747184633606,1.3603307687341144,1.2192155209853441,1.287506735527498,1.258821955980335,1.2263432017884834,1.287293103817463,1.402024558964702,1.3493330583555114,1.314374657967907,1.3012617859053797,1.3767783067195505,1.3818660648548136,1.314990601635348,1.3462737508032296,1.4226906945829236,1.3648461326473433,1.3284176122198657,1.4255996757263885,1.4714065501183335,1.367945712094648,1.4119630765056324,1.4704994437194698,1.4314681803761584,1.4057347727359717,1.5051201976160964,1.5008897830457526,1.5841456923908461,1.607165355333669,1.5329708666725927,1.6649719731286674,1.7661673508981286,2.4779795048128994,1.9723352201114335,2.293562621288977,1.6630500074085768,1.6583290713357979,1.6360896610975924,1.6284705312461314,1.6237230240059066,1.5194781531805284,1.506317187369047,1.5264362561595988,1.5691142333970072,1.467115263288784,1.5606934674915232,1.5390361593001154,1.420090782005544,1.4592186362261619,1.332792841617349,1.44097759916933,1.4325922416556802,1.5034818193458903,1.4922078520963633,1.747305258893027,1.5926774798597279,1.4909428029448137,1.5862721839442733,1.6063227143978573,1.5211596397557243,1.542029772082985,1.6728845092470739,1.6806335927337086,1.5152285562573775,1.634218777729376,1.7131682915010087,1.625294243201847,1.5590203421073672,1.6386196093779717,1.5804656873155551,1.602869315020983,1.5573739901605659,1.600791296233516,1.6057412204615398,1.4999500670875736,1.5153292883269038,1.56386764346116,1.5439034311348059,1.4612063385511531,1.5259780509414755,1.5258721074620194,1.4739251995787455,1.4652143326345837,1.5417595828809907,1.5910288944054378,1.5638205681287976,1.5505741627626126,1.7414281475507918,1.558911427844568,1.8951087464553968,1.4762291139690902,1.419654967473366,1.3450002438836037,1.4443452788859572,1.3990177250435007,1.4048963823230407,1.37908110584572,1.3165862073235837,1.3216010121317963,1.2838778700880282,1.2112967165515145,1.2241539659275813,1.3511137243776834,1.472609472310036,1.6179848518310473,1.3155842240849596,1.4079978189709597,1.3368177632545908,1.3504705994943882,1.261252147639557,1.5624347186338574,1.5581158688669627,1.984081264190421,2.3918274501261347,3.1441301970200053],[1.1475208204624718,1.134372813791916,1.3584121673293554,1.0305973043039252,1.0751410668273969,1.0997017813252832,1.0061174835073525,1.1118023891821407,0.935964787177494,0.856176454371221,0.8612879746090821,0.9914482950563986,0.930558365995639,0.814792669905411,0.9692333561583523,0.9267446000094276,0.8719714858924935,0.893857869153141,0.8487143991443029,0.8834450885779911,0.8480836755564629,0.8647705982437299,0.9044645711972136,0.8874953903685212,0.8520604651170619,0.7977922742527555,0.8488576694380205,0.8666148107466751,0.9449538453083074,1.0070498739515406,0.949940741534796,1.044033289321298,1.1391691324382993,1.0790279507915317,1.042039596787135,0.9954467858880434,1.0712630693818286,1.0296031796850462,0.9950336353571754,1.0371989050347197,1.0094800707327944,0.9138099066745735,0.9471670190666683,0.9901014125866867,0.9871948385652446,1.2449033165664756,1.2291153700932864,1.0149554078567928,0.9516463299086878,1.069281758925079,1.0739516082744687,1.3262665216057372,1.1557639723298392,1.1324899901209036,1.5886420286566756,1.1557211036745827,1.0399305997030377,1.097604677119564,1.2567131188853224,1.3615044286883906,0.9766444394431811,1.0239096264239715,1.0492997132016817,1.1267320543825774,0.9159435224966951,0.9322178236016679,1.0865278727015681,0.9463542056653406,0.8655947955872209,0.8759603374257814,1.046129474092859,1.5710960645527765,1.1059663786033866,1.1806480224276246,0.9099177489543453,1.289481928651389,0.9494026737010803,1.0641014282390826,1.0563227045420307,1.0700315237175648,1.118820406938476,1.122621831526431,1.5974249628366906,1.320449533170582,1.072431174493531,1.0764395633836004,1.0389947989978092,1.1293666424778557,1.0150714778369028,1.1196024628431356,0.992037467334889,0.9789031037953071,0.973064361438076,0.9984852341354207,0.9645523295424867,0.9858009683683707,1.0201203931580345,1.0210353736738644,1.0688415445257038,1.3319735036949447,1.2039158746284926,1.3569391821150798,1.2379306257304405,1.298551882569865,1.350500199144991,1.3121454420629892,1.608761908863548,1.3796965674456314,1.3382447344548816,1.370440959722086,1.2706748071156861,1.1343773376651323,1.0547355191939864,0.9861725624613573,0.9058731356531363,0.7981625657875487,0.8327394132610141,0.7663285972044126,0.8324951174800079,0.8290975570567808,0.7712906007155034,0.7781893388316412,0.7334261788536354,0.7839251109234512,0.8726749326384595,0.9973512607095842,1.1132849526440631,1.1022615543758918,1.1739013916011405,1.2235477766501193,1.2024805938007954,1.346842168774387,1.2116123005017057,1.3123624348818772,1.1585054353266169,1.0890248142288748,1.2614079100185922,1.1705916862398755,1.0619624552298714,0.85392962748175,0.8478877310681181,0.8600765363118731,0.8430329211908315,0.8364264073945884,0.8749729424900545,0.9780479431585073,0.9279655775410024,1.026107779535112,1.0593923545253825,1.0415485896159722,1.2044167108716233,1.2019227176418625,1.5750977459051716,1.6906738219017388,1.3044990390722804,1.2929768868106457,1.1703700592719308,1.2531911150393766,1.1543021222366994,1.1953460900734474,1.078316747713505,1.0531198181361527,1.0053298802243715,1.009075278873647,1.1182354880649934,1.0315492108474071,1.0965014139903466,1.3118326917608807,1.3161256543225728,1.2850250431578227,1.0760708259744218,1.0002881328053084,1.0577401063689618,1.1350059053161852,1.1264357427076117,1.2090774703568334,1.1799591514213383,1.3889477273939352,1.1692581185111366,1.2545850927399946,1.3326563678992358,1.2289357338582938,1.24332812806831,1.2150448386340755,1.1453404782121794,1.1078650545784137,1.0298177735997451,1.1510224611025626,1.457831804506756,1.1878243572583027,1.2372981551230877,1.1162291041681758,1.1935758485137145,1.1915330691243915,1.1907332926575918,1.2526439713397444,1.3028976666450902,1.3388276478769758,1.3190512228308537,1.3550946812560576,1.446260531961061,1.4771439947179381,1.3574608883105101,1.3823979152140409,1.5056502009839292,1.4276881330240236,1.3456141421910608,1.4852311299659513,1.5744226038230453,1.4098526914818728,1.4490356492036947,1.5489868562442186,1.4980327174533543,1.4024217419711407,1.5267305717450208,1.505729152608819,1.6813659108877586,1.6342896347551177,1.5936879300087403,1.7538172236401408,1.8869815302127084,2.5596072959910745,2.137529305523773,2.4179920257896925,1.8113049914096082,1.8250700996458151,1.7711810432114505,1.7728587403334122,1.7638394514280715,1.6074546163039651,1.6104834074561578,1.6196546944439512,1.6166645440855303,1.5312649713715671,1.6361106991120482,1.5997209174151326,1.454956791026366,1.465240193395649,1.378150812247284,1.4935398468882162,1.5231789091744579,1.6177617005215068,1.6268428140567965,1.9231455171945946,1.7298314272402844,1.6090936456739025,1.7403183469245036,1.7911513064075617,1.645358993292996,1.6660367506312455,1.8273059655007928,1.8133287180090025,1.6412271614304381,1.7985270854241202,1.8885131589852318,1.7636883934009988,1.710776075075624,1.8257011424578005,1.7327603646566032,1.776680113336737,1.7147481528879487,1.7649856222062101,1.7579957131144777,1.6067551725309164,1.6400214976679524,1.674474565781676,1.6285447503935109,1.5206944873566934,1.6133392945363778,1.5996096460021612,1.487942247473587,1.4966935548515163,1.5704702460333244,1.6384396908294407,1.5587871281982726,1.5287579325300942,1.7721602694376293,1.5482948476678255,1.9594825699573635,1.4430404665654935,1.4114135198193203,1.3406158776254218,1.4320913113602742,1.3841982050725177,1.3979058593979945,1.3775033618086796,1.3492988746113301,1.279808920644353,1.2630803572474985,1.1595225569250716,1.2230905142746236,1.3903699010953654,1.5539521361212694,1.6225359953617444,1.30881034294299,1.45750750158625,1.426452714104294,1.338483259229182,1.2566485441590869,1.5915418229879728,1.750669381784328,2.053046333327222,2.3550348764618416,3.2321381176008055],[0.6472464618167317,0.629037138357292,0.9236693636655448,0.5247711081485974,0.5919046056647511,0.6766755311509315,0.5806788952558507,0.7110818175030795,0.5861154382146534,0.5374638606677243,0.5846433824923509,0.7038490524603692,0.6078135145768392,0.5340397922817969,0.6880308021690758,0.6386626109989687,0.6034896033150856,0.6242879192487741,0.5797409829761148,0.6132602932316722,0.6086944755431034,0.6330569307750977,0.714666155367077,0.8020806833084345,0.6557417136109951,0.6245329273629606,0.5547638454415209,0.5461119793664725,0.6183202624331505,0.6896478110147424,0.7148832421228982,0.7431784176165196,0.8657323988694892,0.8018963408894,0.7334099432588986,0.6920678151588417,0.7235698030804616,0.6696200201389959,0.6242862511920165,0.648006852477031,0.866071527254475,0.6871397048841644,0.6528928170414364,0.6745475606274807,0.9161439789893856,1.2806459012478673,1.2282175793146324,0.7066675713539939,0.7311851286567086,0.8800254792669082,0.7645554843962628,0.8702693137279673,0.7400253784007701,0.6910671876955569,1.4927661976190367,0.8304666192872685,0.6867327343552102,0.8077198501482256,0.9709568406048709,1.139803317382102,0.6716382794800434,0.8143906358072694,0.795255084088137,0.9835677599829461,0.6895246733834354,0.6902435637357052,0.8555190496615175,0.7379713034651522,0.7586654013188365,0.7133445996283705,1.0209128102243674,1.4899525386844752,0.9602239367774023,1.092659425151175,0.7062255569532608,1.2150337872006398,0.7092982852338895,0.7937616102803443,0.74594287197028,0.7903547289770273,0.7788749340445617,0.7638739796968381,1.2208681767007605,0.871827800679848,0.7376622708885944,0.7112524744282156,0.6914422776350523,0.794650271913563,0.7138030909532268,0.8166107861071508,0.7387190440239189,0.8025307573756313,0.779609981292916,0.7669000915498053,0.7264815920002659,0.7796991971956078,0.8181878959605142,0.7574518144617224,0.778237018773138,1.0423751203867473,0.8509592074853898,0.9867243160329385,0.8382158085856074,0.877903953981963,0.932469961914713,0.8672842833483051,1.2150126387170876,0.8603364680913203,0.835552012327352,0.907834846962474,0.7872424335610122,0.6732772187939077,0.6318799676203477,0.5965677216141363,0.5913699616218956,0.5081931821848089,0.5589160947615838,0.5112566086093504,0.6131562690753739,0.6168048486120696,0.5282877472899071,0.5084913252613974,0.4992864528206278,0.4841797728308578,0.5314604125723358,0.6004399413200268,0.6910965041843596,0.6475050529127726,0.7308566217390617,0.7501655173931203,0.7423167124411976,0.8960607986680632,0.7332656603428173,0.846919838009666,0.6674626912752017,0.6135942691061165,0.8072463869393399,0.7791209768685551,0.6961359262482404,0.5442425871915781,0.7605618516654294,0.7198603045652212,0.5196189612082981,0.5257707844604437,0.5703713203619447,0.6248101321821456,0.5613778475098069,0.6299096331028673,0.6401362027240686,0.6403375172723982,0.7934401675162286,0.8209899471788747,1.2618616051134222,1.570558461466841,1.0713524721996892,0.9608429897499018,0.8029704404969199,0.8410161222216015,0.7419281346511831,0.7594809492414226,0.6305554856328275,0.6401235569163998,0.5461940416807534,0.5812045919770876,0.7048441088225871,0.6632897115556999,0.7678148782327927,1.1132834314975866,1.1177297791601402,1.0899681797435201,0.78635710440862,0.616606114197688,0.6527282296640071,0.6746392619005235,0.6863173278707728,0.7701696556520525,0.762780127261764,1.0029551469592812,0.7443393708489188,0.8025777830947147,0.9042064077273493,0.7443110123766654,0.7459108537817136,0.7217954022931167,0.6856263034504853,0.7515074524244016,0.7559495098869526,0.925070435463155,1.3912056667793393,1.0138907480567834,0.9920333662236775,0.7425983554790975,0.7528379771330397,0.7420144310238969,0.7186484842627852,0.8118328665551952,0.887379383550139,0.8286614393853023,0.8380280158442719,0.8986180378467519,0.9302610812900338,0.9660175871752968,0.8691650930546421,0.9009949142606228,1.00186086731389,0.9383471807460669,0.884360155413507,1.0200175559963467,1.1095848679102247,0.9569343584579518,1.0280657308461687,1.1391263291689318,1.0794372398410648,1.0205194247737384,1.1961755553556905,1.1617909516754221,1.331177676321516,1.2749328138769507,1.192458703846345,1.340083629858988,1.4517670674882108,2.1987390928414636,1.711808456738327,2.02638237154052,1.3204307787386338,1.3132275293526452,1.2657459780975067,1.2643286596466536,1.2541325706646982,1.1016365578976572,1.150111955763064,1.1077289893728202,1.1425854053573714,1.0623775559926814,1.1859654153619932,1.1119113881508842,1.0270985835605824,1.0461652683834517,0.9238661971487931,1.0039379793006642,0.9884139940000343,1.0850250439925797,1.1079216115909745,1.4713035254624374,1.263595100916164,1.1083411991014362,1.2311773178432763,1.3114701221619878,1.1592991009927884,1.1767917891187525,1.370965876608566,1.3936452850241197,1.1748818682861275,1.343631905894308,1.4688858516274481,1.3427649834859674,1.2791886499819347,1.400875226471148,1.2920998549130596,1.3126423949716535,1.2255311302560628,1.2748126252067007,1.2993578816519071,1.1298254059684083,1.1474052041595744,1.2023493884946757,1.174494479600212,1.0519240435194825,1.1297846057878485,1.2002600051063228,1.0764127330216227,1.0500355375174628,1.1591467321398314,1.2837208739002057,1.2025070362105788,1.1726172136267525,1.4174151885576507,1.2497198955745705,1.7186908794069182,1.144487342488826,1.0241023674414855,0.9681320728345402,1.1760539919155786,1.0858339952868044,1.1274049627067022,1.0217169982408256,0.940026246464833,0.864403915879948,0.7967825727058345,0.7104901919766302,0.7872171820146159,0.8765481850343899,1.0337089227326022,1.3905896028153666,0.8274971635329056,0.9540702174762767,0.9216183134358602,0.8619836346402009,0.778325252408643,1.1129440666337034,1.4833954430464698,1.7295228728385323,2.2001758429133593,3.0537982622103343],[0.925625503530238,0.8827000858047641,1.0810685089841308,0.9894167812146617,1.0095971264083374,1.0930411426372393,1.1276697539833453,1.2335678381847126,1.2549188941210325,1.2602235332035556,1.3497544459052557,1.4137374499113586,1.315811629378027,1.339883323033031,1.416640279132455,1.3657579154391806,1.324443459400051,1.3548084096996234,1.339337090688401,1.3042196432299198,1.346346894246505,1.3053130249052576,1.3416131353885372,1.3061159345475206,1.2129770226235395,1.2324351802895364,1.2300274964428737,1.2407984765946993,1.3110011704911042,1.3399586316705636,1.4280628708330838,1.413743771960259,1.4512442211214613,1.465186548113202,1.401961885663362,1.387097101180945,1.3387686861829948,1.3339656028953832,1.2542062865050447,1.2110103966622936,1.0380566953157953,1.1984688423701777,1.2318585233900217,1.3697586571667062,1.2081621094391055,1.2379908365419852,1.2985969771285633,1.3017715025286085,1.1511305782879158,1.1797981422651578,1.2041338998672702,1.5548899064002604,1.3052227128279486,1.3462078325678506,1.5417053871520574,1.318861958999536,1.3694670277208698,1.3083780422326823,1.382057180360004,1.8172976864323662,1.3963176378925723,1.4284359909255717,1.4732401422832984,1.5741503914527113,1.3761654077892043,1.3985184760629268,1.5665916812391167,1.449067010255606,1.408231933276469,1.4738060668893733,1.5883015825283289,1.8433674622069398,1.5964610409230262,1.6270600264756165,1.4268264415805711,1.6345315988653109,1.4418678140266978,1.4905883333422691,1.425302755691394,1.4110871510914547,1.369281657581076,1.2788233681682317,1.6371712889776802,1.3279595020823063,1.2242003076445018,1.2634549269640927,1.3151163810944528,1.388644904180704,1.413410319368059,1.45343629536425,1.4695068321637637,1.5184070669208323,1.5106463455742611,1.4937872839343151,1.4662340598619859,1.535845496157629,1.5593853009003051,1.456297971377884,1.4141318261815503,1.5329590355830875,1.3901153844481684,1.3969410595106104,1.305640040895645,1.2667365717729482,1.2776001406049433,1.1729271646490285,1.389196847341391,1.1889225149572407,1.1853247073765347,1.3389188771726364,1.1860063733134052,1.1512708895461317,1.141894765229264,1.1829431110282842,1.2835460458801087,1.1486768564321361,1.2100934258998817,1.2000924701455036,1.3290966052263626,1.2911118935407995,1.3362620826386327,1.2953824109440994,1.1611604036322791,1.1556359024563638,1.17997255330851,1.0661483884355087,1.0485370724179794,1.0883961478144546,1.0537283542716605,1.07921210128237,1.0267281426997916,1.0412359416425077,1.036488725461027,1.1603162770418938,1.0898374600906546,1.149517729935191,1.2862629836768158,1.455267617895128,1.3319058793205376,1.0472634534226963,1.1584850628877075,1.2205805672832608,1.2145688707282958,1.144576079787767,1.1257995976347175,1.2924312801850038,1.1739817814473825,1.3219052380152003,1.182621285073704,1.18403951372428,1.249503413377418,1.2975296431592434,1.6002091080998375,1.8502311499868282,1.4689643908844192,1.38272686602964,1.3351086582928964,1.3017748424247721,1.3009351504516733,1.1950092989503673,1.1558647748362056,1.2504210556209687,1.2665823660526985,1.2002694804610483,1.36268702272496,1.1996378792788336,1.295317437685259,1.5016099072268123,1.4943432676861148,1.4777646930357713,1.278071414811013,1.2262331126401824,1.205733619981815,1.1482916523124798,1.1732352650279785,1.2195180807052373,1.250950031609203,1.3650440490277371,1.2088084238788896,1.1787578798630653,1.2896871499591098,1.1280274439800488,1.0984237902357112,1.0734071432232175,1.094256112465917,1.1211662920809342,1.0860907197028755,1.1278309811519278,1.4580552531929618,1.4007892270198923,1.4134179957048745,1.153965490577535,1.198296608528283,1.1555689779450564,1.0617584364504786,1.0873516061235764,1.1951976225620855,1.0841107122373597,1.040488232525935,1.0520010344902178,1.1075620313827366,1.1317691462272066,1.0667642402507542,1.058339751562592,1.1225107184197605,1.0876695289634002,1.0264767119375993,1.1066277137404048,1.2241371536683587,1.0724859871561396,1.0881415621769404,1.2041748939763057,1.177544203180571,1.0652144595733475,1.2161661273058648,1.1787923493642176,1.3519457525368606,1.2746631069389192,1.2131926343555164,1.36175630288686,1.4490891145292206,2.115571007699121,1.70243308089498,2.0227071426372683,1.3733719568264664,1.3650505601940748,1.3355918926947,1.3245180722811394,1.3285560777681824,1.19993914415573,1.233503881741435,1.1887882328998536,1.2391756903889741,1.1551012058452497,1.251578973341218,1.2254535943036269,1.123625106581783,1.251720444941764,1.0788698970461363,1.206578917709172,1.1671676169224598,1.1959130910952416,1.237440193131638,1.541122254787671,1.3818594739278778,1.2492897790772646,1.3300471132943987,1.4537576758461113,1.3329075645356743,1.3208935388936909,1.492823072888842,1.547751998454857,1.3254876329925982,1.4433628578396385,1.5535323824234033,1.4680555155811643,1.365631638962808,1.4545154385160342,1.3586649119885337,1.3872937184547762,1.3223947991279996,1.350706739995644,1.3575706716441664,1.2095993043799607,1.2280100007640038,1.2625169851345792,1.2352656183913453,1.1447786731919058,1.1936669853505042,1.2319059760346118,1.1366089467142892,1.1272409502430374,1.2359929612528215,1.3053464158796857,1.2018131868567832,1.1830581085184362,1.4365703268213614,1.2684365008953666,1.7193096473207572,1.165541618041038,1.0859263569810274,1.0499833095551037,1.2081040979963302,1.1423594049536292,1.1463465147770522,1.0838972090454233,1.0100234366502392,1.01539767004813,1.0342060223526857,1.0169396969550395,0.9810062607142589,1.1307465789319844,1.2497263192750043,1.7057346512085396,1.1713685673082166,1.1591686342024854,1.1366942038701706,1.2441298594228458,1.0108306405053158,1.27467288585998,1.6240217246371467,1.9345945573334526,2.4038429949062703,3.4763105510574537],[0.6589807619327793,0.6271836718184098,0.916733325556924,0.5288104643889856,0.5839183471000307,0.647398061480324,0.5577987781644711,0.6529493936807041,0.5363553206011659,0.4819651608223053,0.529139924271664,0.6561494638819533,0.5522856680829107,0.48865882927470716,0.6127958130104946,0.561925539027018,0.5486008392122355,0.5454838369523095,0.5192819010604026,0.5207664552235224,0.5369426520326088,0.5631657924050055,0.6258948637433052,0.7360096465513315,0.5973531841267624,0.549177437687763,0.4984835791433933,0.4831422088179903,0.5467415482434632,0.600773831490167,0.6128920436856378,0.6711634745886167,0.7601236062120232,0.7125074645266354,0.6528722620047015,0.6044232485579982,0.634388185242291,0.5955346353689199,0.5604244524586252,0.5889551711449931,0.7562257675847728,0.5846422944556458,0.5636198221576646,0.6883159144895786,0.8960876076328033,1.2376013540740078,1.217121225038605,0.728482551935828,0.6783051239041569,0.8404721888371296,0.6931607561088499,0.9348837960810087,0.6934334445250727,0.683028307738623,1.3608547655098397,0.7348766991916311,0.7049984600114372,0.7135528773795077,0.8511850827175239,1.2405071567585495,0.6374171026590232,0.6975132789674848,0.6779381974064791,0.8195697299709611,0.5984671088620417,0.6041233146513546,0.793722641868969,0.6483303140417009,0.6832311167632693,0.661284915673266,0.9763196353596059,1.3683414705983432,0.8737684339798553,0.9921580172102636,0.6259052272643716,1.1563837021250978,0.610347914670218,0.6892705369915448,0.6468406606816226,0.691793441985208,0.6847725577107086,0.6557191589106846,1.1652033366298085,0.7739381054588256,0.6875780318585656,0.6244486138096403,0.6031026119548905,0.7093875818098433,0.6233829693468218,0.7177516303588547,0.6508341836962716,0.752940246427586,0.7076503095357219,0.6901011854825814,0.6551117982502488,0.7286921745440732,0.7432133214788332,0.6925169124014136,0.6934728912423085,0.987748651990481,0.7491321804199544,0.8922612213096391,0.7319777018915352,0.8049029503182067,0.9080099235998101,0.8220612361628262,1.1551863329344139,0.8916240652592148,0.8938650161070727,0.9773330356021056,0.8190324564407112,0.6657185181335953,0.5791637611108644,0.5693304101688766,0.5297074134648041,0.48707802882496115,0.5028255684693094,0.48016522559642877,0.5800306254620119,0.5307808079721008,0.4992933834117897,0.4789716729950007,0.4616869984565637,0.45590953135326784,0.5055556899347865,0.5827649876282971,0.6438500921458725,0.662682212718945,0.7520309976941826,0.7559001722673541,0.7742896417683787,0.9062351998358545,0.7623541077721168,0.8629847213625594,0.7194175874125581,0.6814319156930299,0.9050896660225991,0.8964695568982662,0.7142158252992589,0.5520016712605723,0.7528552823098174,0.7552491166603438,0.5385071155749375,0.515199704972765,0.5174588345059842,0.5714115208179906,0.5226287237135671,0.6234680774622622,0.570236929392933,0.5693152649966099,0.739672753329004,0.7478890651642826,1.2279733054524036,1.540531978796863,1.0308058197135919,0.8778267730441787,0.7075370011042561,0.772360076594584,0.669922752819234,0.7156669169327794,0.604499112890594,0.6038308436475319,0.6030656413921075,0.5712034685256028,0.7814961890503174,0.7907346810090189,0.9340131321840637,1.2828445106044064,1.3039979659206777,1.2260212217146305,0.9506862768078036,0.7455030836121012,0.7140102710943016,0.6548542855213269,0.640229805536248,0.7201050767765644,0.6715104402308524,0.890570285436534,0.6631597517859288,0.722978120088945,0.9224531312424676,0.7193296750740644,0.7466229445897434,0.7595805645799604,0.7140894271283628,0.7616684148542182,0.7103445905716756,0.8377938952914582,1.430771283752241,1.0990876281062383,1.1105152853478413,0.7742671803525619,0.8436922587162925,0.8237270554639148,0.7932096488931057,0.904607218856605,0.9553110702645629,0.8943043211795687,0.9080212341180908,0.943052562227336,0.9909575911819467,0.9990682221226067,0.9097220372454664,0.9676555202852045,1.0661286335118247,0.9848396668977456,0.9413728800289417,1.100932650548477,1.1849871741231386,1.0068816764946869,1.089926319412525,1.2340542731066557,1.1621823965772196,1.0482943883208178,1.2670913161440973,1.2357099802127882,1.4302100362890773,1.3745515149391763,1.2850695521365754,1.4574092919790873,1.5697384086563169,2.0929330972813687,1.8450907728240233,2.088206617528715,1.4353035780855612,1.4212329518467988,1.3397731306511775,1.3389297740644024,1.3962045860960306,1.2163159389181066,1.2527457648394509,1.2180541879755955,1.260019523386224,1.1568756266868316,1.2351881129059152,1.266491751028596,1.1440862715154385,1.1525980463636571,1.024497451516488,1.047597464239522,1.05117475295878,1.1376194022960977,1.154761755352709,1.4699111981531536,1.2624699247292237,1.1347202131230156,1.2709955212184159,1.3496924943411333,1.1742172883264512,1.2233560444644889,1.4115739831169336,1.4467053946937252,1.2508235272569395,1.4089282595698482,1.5114638001807454,1.4229070602961769,1.3787933341779073,1.4996312198202877,1.3971712215803862,1.409417221879856,1.2969061594379714,1.3634307318055583,1.4139504532119722,1.2276677792354846,1.2431736125261672,1.3158180528781407,1.2871330780896844,1.1514157753631606,1.2333147552196113,1.3322004742240636,1.179868720272182,1.1506150333251404,1.2866578425232695,1.4006727087362485,1.310925496891696,1.272586395887074,1.570463758863301,1.3742880669286828,1.814343037578285,1.2159757027647098,1.1020402658359576,1.0183070040120163,1.2258035532479408,1.1608279279065046,1.2131363191303746,1.084197063069157,1.0186456762094274,0.9027130554426754,0.8511498937534085,0.7227720590353081,0.8121124703919841,0.8982300089412695,1.0529271801641347,1.3802078944528582,0.867505421263595,0.9739623006262679,0.9077146847667431,0.8730366177139344,0.7273695536020148,1.1037682512475906,1.8660413595094134,2.0487009530944134,2.65485147561496,4.115207705638568],[0.6336392487184123,0.5944986449011133,0.8914822661924025,0.47135837318988344,0.5314901682713605,0.6407479159727556,0.543993511809505,0.6493830366011393,0.5821248974065684,0.5668182595703393,0.633727929077134,0.7039907967967071,0.6319770807224061,0.59314166899459,0.7359863600886789,0.6813855987980575,0.634731194201481,0.6557109198110302,0.6466359573691507,0.6464120200891811,0.6739577947394861,0.6785998885113395,0.7477509716606429,0.8552821115767757,0.7242337524916849,0.6960886063465417,0.5970095868774853,0.5726389672597011,0.6116537124260161,0.6723402707554818,0.7461161072252233,0.7431251879380734,0.8687510962760954,0.8325381090681017,0.74350199942262,0.6940366982311167,0.6832209722373315,0.6275324274542474,0.6022856425132437,0.6128029289679007,0.9357013296514258,0.7321701150607643,0.66682121666387,0.6821253071285237,1.0612186633404768,1.3967078495416902,1.362658626791006,0.7622419609215798,0.7410787552093003,0.9161547335967047,0.7315883246045272,0.8248860256543652,0.6652589425994861,0.6383781695267058,1.4881941060140191,0.7645175841463936,0.677585509008958,0.818293429220225,0.9478722505699807,1.1555033151622989,0.6619656148721296,0.8306299267444106,0.8048606623246637,0.9595635943795933,0.7396816942031555,0.7059707064114343,0.8287520383530331,0.7590068035064752,0.8487334743625732,0.7803243498775402,1.086343208437558,1.4955379476526705,1.0001005902311513,1.1576504638897511,0.772875382014139,1.3467849809427632,0.7330272582050431,0.7996150977700465,0.7358601733670844,0.7891652904562428,0.724038127743884,0.7306792621860032,1.1871650040784054,0.7507324343267407,0.7066988640151813,0.6569806808627303,0.6387684664727982,0.7443832917410422,0.6970737972782881,0.819539783146908,0.7651295283124402,0.8826169463036755,0.853694782003264,0.8323436807777747,0.7892391197929066,0.8793362266930608,0.8787400234429781,0.7849619235247215,0.7859385690033336,1.0134017367488952,0.8183898532622442,0.8977603318624737,0.757931895767446,0.7782477719120454,0.8529952943175164,0.7918980803698032,1.1343190836509438,0.7773275654664503,0.7740503621423596,0.8853299830550645,0.72691567740015,0.607205026485241,0.5683537978894524,0.5388889911755859,0.5610031909477439,0.5781578952882106,0.6019349219739569,0.5508949694473804,0.6630522170769523,0.6804231094061788,0.5978061709508861,0.573269824162868,0.5772027346451629,0.5273308235643535,0.512063567615004,0.5761027728240935,0.6366925376591468,0.5962518213894723,0.6933454130750711,0.7091788879249986,0.7105256288373967,0.8719845209584141,0.7009697849066805,0.775849862181229,0.6264986301467138,0.5815446101803136,0.7687857199826363,0.7450151315471194,0.6308475869873533,0.5940203884949777,0.8046304959241903,0.8001010149469684,0.5816912692041216,0.5585323780802123,0.5744163930020048,0.5902404821969914,0.5737641299686326,0.5847385486716369,0.5792406492248559,0.6034703233872447,0.7042060046961385,0.7550606316946469,1.1929299652109144,1.6112938978053177,1.1153141228459718,0.9144864258994225,0.7544903461808673,0.7619835527151096,0.686307184164539,0.6785607738238155,0.5694588117470047,0.5795001282164214,0.5313058524524287,0.5402061801995925,0.6735098683228364,0.7287663860915005,0.8295332664463747,1.2223167833499111,1.2220674874573947,1.152952438624232,0.8438948146938092,0.6451122378272628,0.6190684374470136,0.6138567259845392,0.612361963500779,0.6872954137817799,0.6789815028390108,0.9107332418485206,0.6570595805337646,0.712120470633756,0.8680328487576618,0.6647400984313656,0.6805584225686525,0.682395544907136,0.6374277344701518,0.7307504761602074,0.7521079187685112,0.8970640936703124,1.4722900042917493,1.0257167177493018,1.0402883875767495,0.7844626068684569,0.800938558410978,0.7710083353087429,0.720110360494893,0.8212074184204019,0.8815499029288484,0.79420613829172,0.8273193047515177,0.9022273074766233,0.9102198046199867,0.9292780455304986,0.8477106345124706,0.8966815819988969,0.9967262049569683,0.9211745734477689,0.9033838695566457,1.0515534426414148,1.1103319834378407,0.9560836253105813,1.0678650587735614,1.2003659761356178,1.1063068949279333,1.0408462155225964,1.287168374225609,1.2633311077987297,1.4305626533623355,1.4106580771482649,1.2789797933664497,1.4463488116411725,1.5585080781938043,2.153937058368977,1.8454242536667123,2.0663125812774705,1.3764375884415547,1.3459073957431165,1.2574478133086586,1.2619957282393752,1.3249327511256102,1.1363110306915014,1.1563514651279423,1.144434509636769,1.2031420767860384,1.0720498523819564,1.1568946953172932,1.2214029583752755,1.1063174499737234,1.0877681180625112,0.9451277187718214,0.9603986783426199,0.9582482347600088,1.0631710040187734,1.0681459087606826,1.4139775752748942,1.1844869617034972,1.0440839059454508,1.184265366686576,1.2565858124743083,1.1026136010100962,1.1326079879365822,1.3187916948677283,1.3580729914090146,1.1587374613846415,1.3170768588789479,1.4252477398920305,1.3340031588754493,1.3053914664189996,1.4374421517567917,1.3309947147681696,1.3325227105328403,1.214377295247798,1.285652386801384,1.3559995572822399,1.1710377289505343,1.1789673065606885,1.2733021301860645,1.2551050740011729,1.099052303734417,1.1985637972526222,1.3275531424124867,1.1629746125509695,1.1184271456140285,1.256449389400267,1.424375325473074,1.337225634730336,1.2945303341207637,1.554990810083786,1.3878801121181432,1.807836353064495,1.2213734825062812,1.094658661761287,0.9952564176625662,1.190461039672864,1.1397634454162004,1.1971586602886999,1.0655374838955671,0.9856504730123007,0.8551750315421559,0.7710780297203842,0.6817167116933709,0.7842382884247514,0.8547746579963097,0.9885083384636582,1.382257309720735,0.8013869515047967,0.9268059889122621,0.8764940618521792,0.8458221508541484,0.7502072958950494,1.0683374511591477,1.7416350690908462,1.7682959367180369,2.241675185345149,3.447195966562959],[0.7536359304218424,0.6890660060535767,0.9044359702901587,0.5966691716161064,0.6337116693411606,0.7534495509246332,0.6442620405849614,0.6633599527518543,0.6426637046771589,0.6357193126080722,0.6651988562335803,0.7616462683381232,0.6709466589707713,0.6551989039144903,0.7309976174676447,0.7017643108583387,0.6823826397853335,0.6812870177667182,0.7090058542032921,0.6719902833926689,0.7023238184188171,0.7105667765244351,0.7793945437655133,0.8743797344024727,0.7122418056036803,0.6819821759566551,0.6437173499614294,0.6277302832465592,0.660766065107506,0.6802728661415446,0.7578216726575747,0.7725365698118977,0.8803180207375826,0.8277672785779661,0.7528847678168611,0.694665355632209,0.6969686886268232,0.667099293298896,0.6330639549090864,0.6159161232012684,0.7786843294402606,0.6806862932735984,0.663310969297843,0.7608741091964655,0.9629317522217975,1.239917731999857,1.2754477422316959,0.8408050957538914,0.6954167597759224,0.8709637565891863,0.7421538403464956,1.0684219830119903,0.7517245918256549,0.7681533653543979,1.336630949472711,0.7744771578306006,0.7924417786672601,0.7928734161542281,0.890874824326787,1.3510149195551293,0.8197000487119008,0.8816946795357422,0.8472219482049962,0.9707591466104888,0.744355785242606,0.7589362515433695,0.9113131191211594,0.7590794039897734,0.8989526022558209,0.8017192805436417,1.056178589123082,1.3918263522388847,0.9718507538313952,1.1083424681882708,0.8025276423712381,1.3568725023785255,0.7546822568386937,0.8266080142051482,0.7727883625357309,0.7138653140008286,0.715719592912544,0.6875684366152517,1.2478656979552214,0.7830026494886194,0.7103691182363914,0.6681188459436455,0.68398530821825,0.7744869571389913,0.7053508337272035,0.7997031730580184,0.7870729621169829,0.9000323499819035,0.8427631731442377,0.8473884847324433,0.7943281706435255,0.8805512166772567,0.877479345757867,0.8038688284221128,0.7769127183771353,1.064668177677973,0.7972850761836451,0.9238567776760188,0.7901155600480737,0.827156128313252,0.8925469734421594,0.7997933327386161,1.0880791260702143,0.8510197390020173,0.8576956696820376,0.9740612921346056,0.817473998597147,0.6788752639328672,0.6256339818466493,0.5804530343728524,0.618203103274288,0.6071866463172544,0.614634587590445,0.6582234746562029,0.8087686080141311,0.6957668580830592,0.704141587496564,0.663681427804966,0.6320216373951912,0.5946153060992202,0.5831591187524832,0.6681565006067648,0.711727834269247,0.6941662227981781,0.7510484252031976,0.7378412249985822,0.7581747879852002,0.8634200243784296,0.7423503377731818,0.8339095464911782,0.7176904465269036,0.6909817451581104,0.8774530649429678,0.8696245781045162,0.7668868492874352,0.6415705899639026,0.8633509710669783,0.8913061442253378,0.7175299108001447,0.6446611283172344,0.6060867582771798,0.6383817039045249,0.5979320233541592,0.6731112172204541,0.6331115724491839,0.6411243493547534,0.7347188424449991,0.8037246624339297,1.2422345359119915,1.7021008641364033,1.156716653139191,0.9280486292525055,0.7787604074914397,0.8078589378052778,0.7374375563331046,0.7220460078914878,0.6383939564913957,0.6374649931737044,0.6631922440308319,0.6196041094829506,0.7825561310021069,0.8025226443533149,0.8644480367189258,1.2366201934273906,1.2290356938194582,1.1310360114693927,0.8439968808905407,0.7316132812392105,0.7053006967790805,0.6677173101859742,0.6557747916999976,0.7292651717822506,0.7376985075805826,0.9731573896175644,0.7008526371991523,0.7869564622538611,0.9025889201989663,0.716397846873578,0.7311390885236849,0.7401376636425944,0.6997138000209334,0.6742856691182296,0.6357663726642988,0.7798721538343347,1.4080292039292117,1.0525908180093688,1.1225700177405682,0.8600772549184001,0.9323254092944422,0.8705048877661946,0.7946770586317168,0.8876159708612507,0.9420146450730309,0.8453447100169961,0.8607419277579201,0.9298623705580128,0.9304945548121378,0.9475030149989135,0.8814862227297191,0.9313216481485642,1.0319477030865558,0.9755886836428749,0.9417550389729242,1.0809979780585615,1.1548956526810965,1.0181887281693907,1.1059757189013666,1.2446122157370627,1.1848123407911686,1.094679115851116,1.3111651217518352,1.2681525115553471,1.425343955536618,1.3563612195284376,1.265848181647711,1.4337983893413506,1.5225448456819513,2.047998256752178,1.797491089862218,2.0511175230159804,1.3754037298392972,1.3499902106062556,1.2692077719133301,1.2410919246581829,1.32610762451485,1.1464162956495456,1.1624647003694841,1.1406580349335498,1.1996676563692705,1.081624255414237,1.149490991136274,1.229493754370395,1.1292058457926453,1.124291515722634,0.9567700012662679,0.963575770386606,0.9774768856534362,1.0868566777600344,1.0824900991558035,1.400665921625309,1.191644165804113,1.0765801551750738,1.204160337181853,1.2645041407107682,1.122226903716332,1.1769340722025439,1.3505865801761132,1.3956567505417012,1.214450130723543,1.360552411370807,1.4657224915497675,1.4037102915218092,1.3615041536691823,1.471314437417876,1.3644233136440005,1.3547088226606498,1.2323885004132695,1.2917985006991008,1.358917306140319,1.1935734669257532,1.1888891384777567,1.2700914841805464,1.254017093328947,1.1090866827302859,1.1778447169081236,1.3118493785598297,1.1444140437448633,1.1084984271321248,1.2149799717727807,1.3654827420108306,1.2948257409972819,1.2491766535981235,1.442883665794861,1.3035058995658693,1.7286025897747028,1.1678097167949393,1.097002819661421,1.0197234940759685,1.1590373116387622,1.1320104029489864,1.1815943489055072,1.062644873267069,0.9925895927753688,0.889895289912308,0.8145355055311727,0.7417260985850885,0.8324302966045932,0.9619732843076108,1.1282290014715421,1.4931001318354633,0.9300864846117403,1.0641270057200056,0.9972229898461267,0.9535804334853412,0.8616721063220361,1.166092458746768,1.7704290650201504,1.8722947186808645,2.276953265769886,3.4715204039726864],[0.6310040998169858,0.5813538564677581,0.8217815587662816,0.5106254412690395,0.5182997611591341,0.6349836808671903,0.5385177379412799,0.601667414071476,0.5669611326035299,0.5587587357262964,0.6129250866243607,0.6736171214002499,0.6186035704048652,0.6050074252654156,0.72354570342295,0.6965929486734598,0.6406055174972421,0.6638561713120459,0.695351525091355,0.6610583347370658,0.6977971736301695,0.690083867545655,0.7394746997650997,0.9027687445057854,0.7288799058161319,0.7001894986687156,0.6196215591252265,0.5903974371122819,0.6170910217004517,0.6573785955384266,0.7543614098090359,0.7573549417590449,0.9149519594301669,0.8404632999371962,0.7462722749929778,0.688249308547508,0.6557316253919516,0.6279126242815514,0.5778645542485289,0.5593193475748248,0.7951782785463037,0.6430857573134396,0.5983966673950908,0.6770481883467827,0.9769416072645593,1.2856225214118617,1.282668361107831,0.7844094491307124,0.6779824181765484,0.8662711552878488,0.6749519123783909,0.9796514152690107,0.673568002823571,0.6724184063052333,1.315834507393241,0.7030032566550283,0.6807952720495013,0.7302387733753277,0.8757511747381701,1.2774772799605751,0.7170941928752591,0.8452677487678018,0.8353905561129509,1.0203379371376247,0.772871783432635,0.7303378307441711,0.8815318830238021,0.7706677627064489,0.8950102629340864,0.7869989106216086,1.0627594160464944,1.4167569950617969,1.0060735402684509,1.1607590280878533,0.8125605869976159,1.4747800283843648,0.7825908562914604,0.8660667693934385,0.786264764933712,0.7534279334177486,0.7008299309913727,0.6926616348936643,1.2374835913683757,0.7574570067987613,0.6565585175518833,0.624765534672665,0.6185389562473345,0.7493919776206616,0.6949298568973721,0.7963960443929106,0.8112181774127356,0.9090500549905,0.8615275562820299,0.8595407615579465,0.7933275110225066,0.8762234021401912,0.8827898731127063,0.7963480546028495,0.7670506800400473,1.0493459228904378,0.7837236300635071,0.8851107000056637,0.7414653389379828,0.7663210664714318,0.8228229356930734,0.7493507499294207,1.0815626825999125,0.7252705401047126,0.7258151220147471,0.9008959768616289,0.6985809628591177,0.598063721320345,0.5580930399845746,0.5068002649194715,0.5667080875174781,0.5839969202120977,0.5903362816806773,0.6215126242704195,0.7841528537414028,0.7013639362389755,0.6792379170187022,0.629397967004909,0.6019632377866803,0.5327912106538842,0.5045717131406842,0.5569158716530278,0.6258487372061443,0.5612042209148637,0.6410968344516895,0.6533073222710718,0.6670657532435594,0.8140015638715681,0.6325517610336936,0.735243404443306,0.5742075540490758,0.5375866343688148,0.7280806846495838,0.7061320397691668,0.7029172484809879,0.6100490227431281,0.8604820655346905,0.8533007976560394,0.6575177448302691,0.571210350023885,0.5454126542661667,0.5805936759222887,0.5648754344916876,0.5849899246274759,0.5617845565799129,0.5780535597727265,0.6855540592794079,0.745108825474329,1.216202764598406,1.7175216077088948,1.1520951838698992,0.9058116687993399,0.7374958709580343,0.7474772202979717,0.6857446285299693,0.661669422126507,0.5341612066641489,0.5656074622345257,0.5751256991605901,0.5455524601613686,0.6556525833264836,0.7151724968362901,0.7410470794276759,1.154662555055949,1.1595728958813343,1.056044490240444,0.7451184030169371,0.5891780055638932,0.5500228577500045,0.5878084575485157,0.5816976349145557,0.6543165363476048,0.65589542510965,0.8878916648348946,0.6286768673540054,0.7021706439471463,0.8482861781953086,0.6271222894424061,0.6218765131929361,0.6256431270372675,0.583441487899748,0.6034472997458779,0.5819848948349002,0.7881992202546559,1.4024560127311891,0.9668491614544462,1.0434370519704343,0.8013038632951921,0.8061329126265476,0.7514610080967711,0.6807770532170263,0.7716202494568494,0.8459955462042595,0.7239955190193049,0.7473158150240381,0.8444935161249996,0.8299320950658728,0.866377615473279,0.784466692956921,0.8214557778449674,0.9185352012687543,0.8691663185181859,0.8188191536941616,0.9599451233702329,1.0406724517085455,0.9001107988262795,0.9878476198852552,1.134597949286119,1.0672598669838853,0.9905855094115223,1.2104016792101406,1.1679324208416462,1.3125727677394152,1.2594065597703055,1.1610040063106712,1.3098402451555606,1.4066580797355193,2.030036846449727,1.6765947281200377,1.9610015912671948,1.2654961701107688,1.2457840507492006,1.1696630103503096,1.1536530117540895,1.2006713040026793,1.0173274691047967,1.0338958971692396,1.0143912468946035,1.0774386458002774,0.9494742100436129,1.0457959377885129,1.1080929014391114,1.025691508861998,1.0248201594389803,0.8580501455631024,0.8834462129320497,0.8837222656839243,0.9959627877277629,1.0148135646540988,1.3339358930556928,1.1503883437000326,1.0145209152849524,1.1281521334892535,1.211239247891786,1.0562861367723797,1.0723263062973931,1.2626783413803655,1.3075451824961117,1.1089553009723951,1.2529401371451687,1.3780140780212693,1.2937473077298798,1.2405687733558004,1.360385581120842,1.2462654091813372,1.2468685256228371,1.1305918714035512,1.1899862981471498,1.2570100868461334,1.0702539032920424,1.0658132979237178,1.1515395753184259,1.1364651236016745,0.9834816068729151,1.0671820063211341,1.2007303871364496,1.0399624444824596,1.001282888706819,1.1084458487030393,1.282056377256186,1.1989373925070925,1.1500859978023874,1.3552660628317343,1.2243783476362375,1.704478993221895,1.0810350880732116,0.9786877721018045,0.8934352449837745,1.0692929528233577,1.0183634824345162,1.0788661943041735,0.9595955547766022,0.909796844283061,0.800636705597368,0.7180067387466044,0.6578992050838923,0.7359994240401947,0.8398672887963127,0.9871909573326182,1.4110550954760153,0.8057282108932761,0.9380451190628946,0.902551752281192,0.8505242237274374,0.7746157442962364,1.0567478369752832,1.6520614547807653,1.653309204835553,2.0838161467029854,3.1110718936593944],[0.6243112749647614,0.5270634965965891,0.7114262247718153,0.46026000132860034,0.4757274138274124,0.578086746513569,0.47227490583368537,0.5497911448439321,0.5159069399401159,0.49311028314678196,0.5509408733428359,0.6468455505190919,0.5615182786388291,0.5262969589040086,0.6598189590675444,0.6359698309635688,0.5607435806749076,0.5708477044086939,0.599742527092615,0.5702764861324079,0.5952094299253748,0.5884543807594899,0.6934608536144509,0.8356064737429404,0.6282939135543916,0.6081422396564135,0.5277929215146445,0.49382293632443247,0.536987095817497,0.5923436115148006,0.6950689245488929,0.7171809823069969,0.8653929173548496,0.7929273998523607,0.7042379684263329,0.6118237309884964,0.6093110645612632,0.5449729409778734,0.5040244738970799,0.4913095998015681,0.7567858426019957,0.5812961684550195,0.5360218215251772,0.6360355455003616,0.9493082300143216,1.2608949097271707,1.2478479683660042,0.7433307988948791,0.6400657383944179,0.8091763063263682,0.6281916112443054,0.9366948559014195,0.6127352916473494,0.6185192529912392,1.2839996740089548,0.643471099694502,0.6326426438256166,0.6662115137787182,0.8117775023498175,1.2481651548674346,0.6708991682749276,0.7912837082439195,0.7525858638817642,0.9163152274792373,0.6751492608776108,0.6573173557526724,0.8081815280130282,0.6788325585541478,0.7935146462207207,0.6934434644110297,1.000886572991634,1.3871480760509465,0.9173273633762348,1.08474990294175,0.7091204730168522,1.343210530060846,0.6851900360459519,0.7811139407338211,0.6998376508499969,0.6848255106938832,0.6410510387297247,0.6059549645855642,1.2195466536606079,0.6849478081476493,0.5998127197785078,0.5587306407518133,0.5463834616200094,0.6968053981967085,0.6246877723648383,0.7368736420982982,0.7372133562866525,0.8400663781328709,0.8021389032539689,0.8121586741950054,0.748340733063179,0.8410611789323666,0.8348054995766926,0.7756048681674664,0.7506842509338589,1.0711793776971268,0.7708748931644436,0.8741218958453834,0.715681119717554,0.73720728572961,0.7696345510138949,0.6911062530349756,1.006834507236148,0.6734827436653144,0.6831950948796145,0.9233753761114967,0.6553894557404785,0.528081648044141,0.48142894339987813,0.4492916866838068,0.5010610276050023,0.4850262729777669,0.4888924415456432,0.5097799516282907,0.689355428246652,0.6022961641726133,0.5748248254792657,0.5166542713985744,0.49448682117743503,0.44427613056831333,0.45223480967637686,0.5166020935336477,0.5530525922516144,0.5132541224030398,0.5673027130620015,0.5757525312806485,0.5883157345838836,0.7103144079512,0.5574515998215346,0.7037612482073815,0.5280758986738637,0.5149137424878583,0.7309654686370519,0.7186975230360111,0.6781851250576897,0.5267081042345867,0.8026359319434517,0.7550553368896098,0.5647301327828599,0.49794679631242705,0.46587946566754657,0.5064597291893339,0.46387353144978855,0.5319156343323334,0.48820892417043565,0.5204610515411209,0.6430154205867357,0.7277887682504651,1.2026572851767177,1.7928902875140709,1.2179084305974937,0.9046428660396142,0.7066017206650569,0.7091313287084147,0.6376286385022314,0.5901904074641181,0.4775010735639232,0.49429864774376353,0.5096021909000423,0.46951127092254125,0.6244824074963943,0.6458339145474487,0.7117710476398288,1.1172962144496708,1.1347792041409948,1.0367077476239495,0.7345722616844373,0.5647015726997993,0.5244194047958309,0.5081309958521357,0.5160991134770689,0.6016142796773823,0.6180708509065016,0.8802305024147468,0.5767640876277618,0.6890077944881519,0.7614488781978996,0.5619723656126859,0.5539210524774946,0.554593731225044,0.5359898317231245,0.5390995608306318,0.5217630631589214,0.7353930414730366,1.348239411031542,0.9556705791466843,1.008347862460342,0.7580658429018567,0.7937032039349716,0.7354788884929456,0.6399655472884461,0.7128158101890977,0.7934234361066916,0.6384218512855246,0.6539163933671976,0.744886567383019,0.7358142068118455,0.7809383435505602,0.7018995155363876,0.7236789673478452,0.8242439633438061,0.7900368598211126,0.7321476864902259,0.8564677267032461,0.9473960668095754,0.8187477866022407,0.8975422686151098,1.0259728239913224,0.9821146545763118,0.9133466036609554,1.1276240274738392,1.095910807040271,1.2038584830303443,1.1686357297599435,1.0525537337472726,1.1916861951578495,1.256903066810188,1.9285197343919753,1.5070275840800527,1.864799913215416,1.1419125837646167,1.1429035957869278,1.0845507956995768,1.0418727168947761,1.0591436886686343,0.8843049224580394,0.8769484768266328,0.8694722978146172,0.9490175013723692,0.8088883196076776,0.9222908551412633,0.9915421040167527,0.9385479639335242,0.9850087343548856,0.7645407680340528,0.7924557448279269,0.7970129201526347,0.9245846220400774,0.9784660391303692,1.3151489278535047,1.128129890492842,0.9952773670798897,1.0749187494916446,1.173578099533478,1.0593744886201184,1.0361038347434282,1.238041364891008,1.3202298800389183,1.0613055099374975,1.1687241129394257,1.3172001410738046,1.2524809863417028,1.134464139890417,1.2372043395240915,1.1299730459270934,1.118933224491629,1.0154040398126032,1.0586760111648263,1.1120368317369567,0.9596001153177302,0.9421499863640792,1.022067285139777,1.0167668547181992,0.877408954331911,0.9466039074499627,1.060504895522923,0.9456141455299801,0.9033770029709456,1.0004535702798745,1.1723309642980837,1.1269306559675605,1.0800518824505492,1.2486958824523313,1.1754437554703343,1.606939353806879,1.0451991755753909,0.9128658264298292,0.8252207545430817,1.0249297559875277,0.9666718078741177,1.0406861901079925,0.8900223889464154,0.8047141431184791,0.7110870940275247,0.6270280252731825,0.5912880239465846,0.6449345067375072,0.7825785011365652,0.9447646217912832,1.4725206763441583,0.7724153985891723,0.8637558738176494,0.8489348274297174,0.8651860113379246,0.7137478185787635,0.9742065967532788,1.4346442991912123,1.5830175284455459,2.081889836553403,2.7497993390672097],[0.8940290357405549,0.8752884796905717,1.0040132030540538,0.9178584119392659,0.9316836100883354,0.988375759386364,0.9420259655760355,0.9100356834281745,0.9371260811719805,0.9835999634354392,1.0105566383729505,0.9995271134623256,1.0257599205415346,1.034875959653671,1.1004570674677883,1.0896790511177161,1.0784636342442402,1.1045232176003945,1.139464369202525,1.1163847932213309,1.1491210577087916,1.1298399218895643,1.1976031296590433,1.2971994711678427,1.1109104091127318,1.1129134944708536,1.0784105571346627,1.044694116807417,1.059779438718361,1.0579256548220675,1.1523901846028914,1.1203384218593275,1.2004891465305687,1.1913388659722657,1.1199010439347485,1.0903541084583321,1.0614667141115202,1.0359589826348052,1.0110503553095709,0.9856386467507312,1.1559109058965662,1.0837883686311136,1.0460875415688538,1.1059977365409976,1.3339704076633396,1.544184488591082,1.5357516083490041,1.199140359992145,1.076297758317549,1.184098898905808,1.072596253772552,1.2743030636674155,1.0599639769584688,1.0628007150492722,1.5997644113966811,1.130361809590923,1.1186888669468005,1.119358300528792,1.2135048388738137,1.5783847424013544,1.173912595097069,1.2936203325175424,1.2638019604738973,1.4082251578158413,1.215644330945907,1.1910982577584108,1.2891251648671636,1.2040465027953862,1.320393686152388,1.2219255951416876,1.4001132922835118,1.7083561283160267,1.3569277721871926,1.5002816091701079,1.2369584638774374,1.7145761292172887,1.2160347781994403,1.2555844401940255,1.176813151706607,1.1362563139495336,1.0781582309909137,1.0740982221700577,1.5222869488905826,1.1242160476401017,1.0390852466864364,1.0136394384334846,1.0344257984131418,1.1166900497409236,1.1015376647439319,1.181132414574313,1.1979143096090625,1.2814798091174568,1.2582636133129794,1.2409015888133443,1.1748304664981393,1.248949077932639,1.243359633457215,1.1438820726417454,1.090213968656849,1.2511204240249771,1.0579198283178037,1.0854851898774087,1.0412579105741693,1.0327751758588086,1.082292283862352,1.03053532345902,1.2610292510607413,0.986420754337653,0.9965901303492757,1.1792534126221765,0.9956183661800917,0.9624623064026299,0.9461035577333345,0.9580489133902977,0.9802998136001052,1.0451262079277517,1.0234666571229813,1.060928280730387,1.2337017387489362,1.17412512654266,1.1572026968197704,1.0809976336176303,1.0834349512178503,1.041645140488568,0.986020625379667,1.0403538232970284,1.0199458458666375,0.9975631039016347,1.0087691124242468,0.9977450500299974,1.0348187948237266,1.0975117928022935,0.9999426300479619,1.086746938331267,0.996506047755962,0.9955273784425208,1.150241080318298,1.0586178534960726,1.1171741333988414,1.0931545266261142,1.225233423848928,1.2010908515805074,1.114213020866294,1.0580120976903928,1.012441286900264,0.9960873087856114,1.010112936416932,0.9941899124709013,0.9502756425112588,0.9540381144100482,0.9532428628839528,0.9873668303841592,1.335098868262956,1.90263334876249,1.3892628501036535,1.1137201999010637,1.017171112861807,1.0003012891344507,1.0227360749555008,0.9677706567817668,0.9588311839589163,0.9922649929150259,1.0157956048540666,0.9919320987382946,1.0252230439358987,1.142696298185103,1.08514200447698,1.37021931119274,1.373696457720833,1.2928578994551063,1.0841771622803262,1.0055895500605316,0.9518433432073213,0.9670994929008717,0.9790056604626929,1.0097189797451411,1.0229223999626533,1.2156221271243073,1.007376246709645,1.08993203076744,1.111408141110881,0.9778602426267206,0.9823095924066192,0.9914637540747617,0.9938902358034264,1.0214344370165807,1.0014107884129217,1.1377713662278306,1.6902966888489936,1.2992315515518604,1.3578230721148103,1.2115547071542903,1.1808079422128943,1.1271796895572952,1.0675434467132103,1.1047535167134137,1.1693732183101397,1.0156647556553957,1.0203850711666043,1.0879838581088666,0.9963482832413447,0.9899051936458954,0.9930954984025856,1.0174740626529521,1.0317664969155305,1.0072277186301777,1.047821804686114,1.0868028300866193,1.0916500877542878,1.0503292943794615,1.1320342228645406,1.202880714341349,1.1361072021334904,1.1577819702091943,1.3268536203975787,1.3179504120828596,1.3741820403864484,1.3818770799897626,1.2698466559221742,1.3488663494188542,1.3992408552823863,2.0493735465694085,1.600806046828249,1.8832893137543398,1.2375748566648443,1.2333428374621611,1.1874124690269476,1.1678863059373528,1.2094589261355546,1.081613928728415,1.0816048629322994,1.0798945183050142,1.1601776028106747,1.0581781094269531,1.142825755472045,1.2566134944518816,1.2210425205033217,1.2467815700192066,1.0738831115626575,1.0780054353867685,1.0334437690819982,1.1006942015986019,1.1359363689223074,1.3721613618446296,1.2230694075967048,1.148914765614579,1.1496040924262205,1.2430965185989535,1.128403244812497,1.114273544766146,1.265989247466532,1.3332097527335611,1.1352913893296144,1.2111946064813925,1.3385726027523541,1.2720174427348552,1.2170902063440918,1.3137679315971285,1.2477204265385564,1.204985862755212,1.111712597586602,1.1563470161845164,1.2320002591162673,1.1209354640937879,1.092195020699813,1.1855318325277007,1.19761601192323,1.1011697285155775,1.134180408302892,1.2644206222256218,1.1924474851114237,1.2142306936381402,1.225656115284701,1.4054499368928044,1.3660312360402347,1.3327396894514125,1.4835638906057338,1.4556041744139916,1.791976138124324,1.33141131890439,1.1945643297679815,1.1384195454083608,1.3297731914687838,1.2851389746909743,1.351033345212747,1.2480299604987404,1.1481741172354418,1.0542818552570166,1.0016784957635465,1.002304442250552,0.9889296212147389,1.0359852444199094,1.1030957287692644,1.6104352348175894,1.031338892513283,1.0506760594908815,1.002515550597828,1.073716864657666,0.9744039971542491,1.1327850211039532,1.4780888968371257,1.7179658163491303,2.2962058864433104,2.7579651101685454],[0.6427159883065828,0.5434815369317233,0.7280526237776664,0.47595497610517956,0.4877870281761263,0.542210925964319,0.4470986640834409,0.5354486234013605,0.4745626845676005,0.49171084400619697,0.5568868767962356,0.6035056557300091,0.5548414501758888,0.5706785038199161,0.7019248144205866,0.6536952771331641,0.6296367424987656,0.6815674231371786,0.7505177374311325,0.6885916696230405,0.7420844529041657,0.7213366462875674,0.8607623249513123,0.9937458835768518,0.7386091259926654,0.7440578591632006,0.6381275391645488,0.5924417721003079,0.6155852311151028,0.6379735790618438,0.7691403064829424,0.728806608460216,0.8844294896054669,0.8285497495106746,0.7350052472657544,0.6897880335182393,0.6427446209127009,0.6208337778401517,0.5828999973591853,0.5643960877840521,0.8163831706386944,0.6914416697883057,0.6439562657877963,0.7020437562255808,0.9781288613643482,1.272707058911395,1.2596874024241098,0.7835610500219075,0.7049086613684378,0.8790059196106003,0.7552843993845265,0.9253836558970941,0.6888249095290646,0.6848018889498974,1.4352670094704545,0.7546181296257818,0.6883376353052816,0.7685828449277243,0.8984604441673365,1.1981551659316712,0.7416729701379355,0.900886708499723,0.8787029737661771,1.0700006447869457,0.8071137900548321,0.7685203491115963,0.9618704434585987,0.8030538319151928,0.9674488385924797,0.8279939403925232,1.158513039366237,1.5907075015601007,1.0687928630213968,1.2408908935691945,0.8313143443293061,1.4834488921392672,0.7836038527324818,0.8810882593724495,0.7782268585379262,0.7584186403541616,0.6926253715884644,0.6820585812240504,1.2267635047762353,0.7332080248539514,0.6556850425638264,0.6171158461093766,0.6241866289198336,0.7261844240338786,0.7059624520506322,0.8271102780306485,0.7995056231994254,0.9772876781491243,0.8882581133616556,0.8576780990761348,0.7856896690752763,0.8719478648307417,0.8620513550187647,0.7656176861346395,0.7229689659518463,0.9845037156806936,0.7539069950938162,0.8382363135507411,0.707314214973964,0.7152660602620796,0.7416115339429327,0.6711198411398197,0.9888933912542104,0.6678195045454521,0.6811321180702897,0.8340793895071894,0.6131981393000363,0.5024976377520627,0.4649527128736534,0.49785082721416224,0.5862184332998943,0.5541852265200244,0.5751217722610424,0.6268331804993649,0.8492914217091319,0.7593609140282915,0.7371870720222831,0.6416888188798688,0.6214263424933651,0.5381826220746206,0.507275252479505,0.537475112676638,0.5212322657778736,0.5307039417080717,0.5464765122036035,0.5365809356251436,0.5630222235045472,0.6512193319581372,0.537309435416312,0.6791051965633274,0.5434797162861338,0.5464033745874246,0.7799014789165316,0.7638294924858844,0.7389884097070447,0.590253661160436,0.8691034074966598,0.8124392274084455,0.6603539319186652,0.5903949695914011,0.552269414094169,0.5946472264347391,0.514523231599979,0.5573896595438458,0.502517254684442,0.5278490808502403,0.650622627589287,0.7287323646293318,1.265908575071267,1.7913419987831702,1.1374371152054015,0.8845037103384619,0.6879382050074498,0.6945716273624388,0.6134728373330128,0.5934578238608197,0.4932226284610126,0.537917331422054,0.5390416150592845,0.5165089303212933,0.6686237630341136,0.6593013977676888,0.7352989860334067,1.142229971800953,1.1681665868155553,1.0703837050834004,0.7634235610517054,0.6085110582249399,0.5769418240658387,0.5036214024259765,0.5178866135614536,0.6007489351718109,0.6448910068987167,0.9230332736853951,0.6015833822289978,0.6915594706952319,0.7089855924221203,0.5454827449139255,0.529697162890073,0.5264057389996901,0.5306307215025347,0.5800058478956298,0.5975358863569104,0.8042228197070488,1.365125318762863,0.970152025672986,1.008480067361674,0.7471721671729191,0.786073811592879,0.7432338101400185,0.6306811092276184,0.7056392112540135,0.8022319822255009,0.6371997747161143,0.6634674558011296,0.6992812824161018,0.7544247706421126,0.7920529460115688,0.680495073824599,0.7500289050907916,0.8626627629618474,0.7993163242804445,0.7482663180536804,0.9196725412874226,1.0354841631208807,0.870636552653732,0.9623860794491232,1.119021083800624,1.0615195307748047,0.9498401106887775,1.2041572751524474,1.1598691600791837,1.3286552671876792,1.2633420532634405,1.154031394832202,1.3310881587165397,1.4206154572174403,2.114485124438432,1.691010035927724,1.9885844908624937,1.2686215809341186,1.2317284989655688,1.1417548666680628,1.0984597449925335,1.167020309781476,0.9577165244463656,0.961595571126976,0.9519129646293679,1.0325770674972061,0.8664933757441019,0.9466484010340753,1.0274727927773362,0.9670728354966218,0.9867954086788792,0.7753500499127065,0.8060043154453045,0.8071180334878834,0.9418752528244593,0.982044498418626,1.3794560497919737,1.149094160520488,0.973403929362398,1.107678325638099,1.1753662910358624,1.0286582911171342,1.0732197376775283,1.2874567635108431,1.322021203495102,1.0975700171719245,1.290191359585774,1.4308823498006815,1.3066946606546992,1.2632008673589037,1.406763268660928,1.2713797088352254,1.263109066614508,1.1280247656828843,1.1886543886858296,1.2549173938067808,1.0560777490678868,1.0371138749233322,1.150156856002128,1.1245083218733425,0.9539974258944179,1.0447080721281337,1.167423158478434,1.0219252691945107,0.9495706270294934,1.1200974559717325,1.2322046065759726,1.173096922912945,1.1266606304766076,1.3157774262319242,1.2086347530477102,1.6796122479097628,1.081715098401042,0.9661181237366405,0.8647131905342229,1.0241088905305034,0.9585635245734295,1.04036226574037,0.8704932441189475,0.7836303643046666,0.6965594033863837,0.6332060298254572,0.5625111329498445,0.6040679015525712,0.6875116138780971,0.8661258884838943,1.4217698376183028,0.6902707475583685,0.7809856663195385,0.7788572195434551,0.7873624809187354,0.6260062690801239,0.9734710071460315,1.2432601945156556,1.7110084285133083,2.3415687622741004,2.8617499950792067],[0.8110544695736971,0.7080997309308471,0.8241328348539472,0.6045605514638596,0.6149894046994683,0.5799629883159779,0.4791380924814207,0.5800700164076069,0.46993605026795404,0.45229835136074653,0.5134143751946271,0.5764898619186185,0.5129856623751149,0.4740900455023652,0.650757403431345,0.576947230921608,0.55079217690367,0.5871108020287266,0.6041839432242069,0.5887029364316668,0.6229901809076842,0.6293868169623651,0.7658528281794168,0.9257278505527095,0.6451196257767781,0.6502665680163069,0.5489166588875851,0.5194727440070488,0.5491978634850547,0.5880595533709431,0.6783037536582054,0.6653673479164328,0.8347002332642682,0.7627216865599364,0.6697357373063961,0.6191849268610501,0.598739769133929,0.5796548356880321,0.5483459739198857,0.5528002627665417,0.8205011799576737,0.6591565763679527,0.6229838346987358,0.6754502820323934,0.9257084509219345,1.2546545608204576,1.2060607254069817,0.7426307859172218,0.7469401846301077,0.8750822072946498,0.7756758244228334,0.8318214505970517,0.6594380351865826,0.628404975541714,1.4686882604552856,0.7320458680265796,0.6175497147366688,0.7559596950533243,0.9131728376814132,1.099031712993301,0.6327090602692259,0.792820449127398,0.7608307009054742,0.9887473794578171,0.7107172516134824,0.6622051065913623,0.8447948394894601,0.7087810866103272,0.8238411183649489,0.6996784655844823,1.0655310603948498,1.5361181908881176,0.9782853482555898,1.1418592398327494,0.7192690275516015,1.3780125075225536,0.6826069492013062,0.7751314590836731,0.698036671009354,0.6981529562367497,0.6558325536652394,0.669497043491378,1.1704742376472053,0.6994219838307766,0.6717217775412068,0.6024135576974278,0.5892388189912261,0.6820258483835735,0.6377274850492949,0.7548463897430198,0.7064573752867026,0.8643315933697392,0.7882656215740765,0.7727472151490123,0.700857357339265,0.781685525673699,0.7770903734855603,0.7062476724659719,0.6943724524502188,0.9675991904998967,0.7413721442359568,0.8293225992266124,0.6939577629579975,0.7220418397498163,0.7580366985857924,0.6861712163365873,1.0250231858316332,0.7355156966126584,0.7662817375059744,0.8586920121874938,0.6628131411208918,0.5422654576589477,0.4934201453866015,0.5484033156208776,0.6001502602511313,0.5015421669362907,0.5318503517081965,0.5368992663064464,0.6909534080179222,0.628970522944008,0.5780952116964533,0.5246302409202623,0.5053974464685371,0.4703625612466814,0.5217737979000701,0.5580389888603428,0.5548305377847002,0.6106969665188551,0.6237752919482417,0.5962523988034395,0.637436399706537,0.6807813902974769,0.6151065212718377,0.7501992076852125,0.6398729766254745,0.6431852577617937,0.8704078306467237,0.9100178074574808,0.8038477819842531,0.5499495199616997,0.8567940736841604,0.7567304695552362,0.5418056803629735,0.5257224808671335,0.5193138726342764,0.5785420317262209,0.4816657441456891,0.5589054039396808,0.5122240952520601,0.5170034462928182,0.6826508559220142,0.7285026083465744,1.2352003959552775,1.7198438616825429,1.0507897581217898,0.8487528228664422,0.6787323252214098,0.6900665547492562,0.5918853882637304,0.6244232332799398,0.5270137389294264,0.5376045365041361,0.5267235259319515,0.5141089404666004,0.7235887928699207,0.6150749199151712,0.8336456137004639,1.2217079289863109,1.2699194111165215,1.200717771300321,0.8988590241833365,0.6959267415153139,0.6761904883107314,0.5441221516719491,0.5415104899745263,0.6184781552535812,0.6333204089282194,0.9238131419460825,0.6020345527742432,0.6842598466501865,0.7294441179083213,0.5822340242869849,0.575043645982201,0.5784062139327226,0.5904964378385731,0.646711179198249,0.6513291327740025,0.848369965158928,1.3568646928000543,1.042352707238732,1.0403199422258609,0.7126777963187076,0.7926761745429315,0.7833475405076666,0.6942547988745295,0.7722211514562466,0.8884214867179413,0.7505053143521854,0.7715879292207094,0.7443288439649168,0.8355136172907616,0.8510771898420502,0.7554136505669637,0.8470142390851225,0.9338903100800259,0.8656366125776793,0.8562188547743954,1.0141453737531418,1.093444997669801,0.9647576379081435,1.0691246854616379,1.1953022562071658,1.13241959557073,1.0645470519451279,1.3143921423093505,1.2622023734861434,1.3972022569963305,1.3490213852521244,1.2391831991373061,1.3949476831469414,1.4703835314204767,2.220763278757239,1.6891726150491095,1.9886218686000203,1.2904591494886137,1.2511578771119294,1.1611290596498995,1.124301350343655,1.2065806422816305,1.0422769458477645,1.0433759248336592,1.0359202469677622,1.1214572453282816,0.9707713590071633,1.0577558632288526,1.0747641603960287,1.017639344636528,1.0653907404136507,0.8695161648112384,0.884893061895902,0.8649096986247526,0.9928701162328571,0.9979207708664821,1.3667683830011792,1.155260905479747,1.0064504836021828,1.1148105879345507,1.1571532475599702,1.0415907324083589,1.1046183153667999,1.2995933050877382,1.3292090289011822,1.1247375963941735,1.300298151621586,1.4233763493653298,1.3133564629472754,1.277882593635174,1.3945246689211055,1.29324863075278,1.2708654756061186,1.1511251679811645,1.2049386634777495,1.284072300697389,1.121613471490118,1.08919987156544,1.2043481021286242,1.1896451687787968,1.0441970538759657,1.1087165969473967,1.2347462005935932,1.1222672173375954,1.0261776689111408,1.221157927429339,1.2793839766095667,1.2388470625295431,1.2015540958223372,1.3891479667926099,1.3044051749261296,1.7207805362858066,1.2199121041530117,1.0861979991266464,0.9952218335441261,1.157589133245204,1.0651732508287233,1.1390115916777972,0.9399889461302632,0.8523726078750136,0.7950167363316808,0.7434856895453724,0.650016638691329,0.6877558365894039,0.7044371801161883,0.8744654264430491,1.4591338461671093,0.7061010682486982,0.8080047033491792,0.7771783550271633,0.7686878346216731,0.6551242405570017,1.0253965960181481,1.166426471094399,1.8399753147605247,2.582824952525265,2.983115263172418],[0.7113847327411353,0.5469357753910913,0.623578524351042,0.4680945417572709,0.4727102602967396,0.4966324253827133,0.44232479396409446,0.5566252927271408,0.5003286431645276,0.4939690511755315,0.5616057558850339,0.6152008312183808,0.5588741665534507,0.5513793322435532,0.7111553082879757,0.6717936044808724,0.6339936452399123,0.676608787521082,0.7139884474498057,0.6810170777743416,0.7182686250987448,0.7136269430381104,0.8244000034252144,0.9716304067503451,0.731298085772692,0.7390023110976367,0.6345129008323536,0.5852793064174124,0.6224380988069546,0.6524208982814601,0.7764129416294465,0.7355006459778746,0.9035770637462366,0.8354022852151688,0.7558251756279927,0.7036426472701116,0.6550115029261753,0.6428303578626515,0.6151253728782777,0.606378863702475,0.8496515940200333,0.6903050019396596,0.6480313427464306,0.7025630789163138,0.97193497346382,1.2886434816556647,1.245825963169824,0.7942548328499774,0.7709094478975759,0.8970205879156432,0.8009540191083532,0.9114207881210739,0.699735003791202,0.6827215568507572,1.4188246451850506,0.7658651261976739,0.6785759544154271,0.7928746098642625,0.9368989900466285,1.169045275362553,0.7385570574157029,0.8930944882573175,0.8640011514448868,1.0696859309588542,0.7940444314306293,0.7596699702021311,0.9283346696867044,0.7962753214438677,0.9333069384289882,0.8004887039655426,1.129465501374924,1.5811155903863239,1.053224363600177,1.2393517780456627,0.8056220827122534,1.4984355643642973,0.7819601119198236,0.877399886889838,0.7884480980212134,0.7754913972539359,0.7351681904533777,0.7233082605403441,1.288973465660084,0.7561678277168381,0.7304217046021529,0.6602599407014259,0.649006394294587,0.7496521031193094,0.7178497368694954,0.8128773259453863,0.7944883603955154,0.9595023538301352,0.8832741391635595,0.8603198266869052,0.7882689030366868,0.864435247173315,0.8477008737485605,0.784302893901559,0.7447943961069576,1.0124960255828763,0.786939256989866,0.8434120013841676,0.7220864918549601,0.7251723297670961,0.7248894953126711,0.6326989861009427,0.9503669322187243,0.6234537206281545,0.6428385038322053,0.8565092899388781,0.5722227295159656,0.48786700361797275,0.48887610876495335,0.5158301067928759,0.6109746169645,0.5459996580590842,0.5706747460918276,0.5908861889592618,0.7822253799576937,0.725142361809702,0.6770687829820035,0.6168331492937682,0.5690019613346714,0.5074907951419518,0.49943741290373067,0.5370649734436588,0.4837756700785333,0.5195818664647863,0.5029003329357843,0.5312055749346241,0.5259962168347013,0.5915134903490785,0.5063951955551694,0.6848134666616013,0.5676515906208076,0.5716413732510673,0.7422862652568515,0.7652506173601358,0.7720134383451996,0.5679353830550292,0.8772128448757773,0.8052417772706222,0.6025868472889885,0.5825151476306477,0.5432400225826467,0.6151842788077501,0.5230999455821634,0.5870443343112782,0.5200549392775956,0.5590200905637556,0.6765369307486082,0.7555490954634524,1.227014894883499,1.848730470648957,1.1513390945040638,0.8712497389071178,0.705209870563667,0.7140482103417397,0.6398533699935097,0.6172151295461035,0.509265146391466,0.5519755529916818,0.5411418222427414,0.5488866019371331,0.6868181869753355,0.6029277652123627,0.7125336897271806,1.108321205374038,1.12251781996244,1.0620346941704202,0.7587859616353377,0.6062599995627419,0.5934877691651718,0.5037794477747792,0.5320790154760334,0.6222670208438662,0.6672419676778879,0.9552553890207316,0.6260502863794941,0.7285810198613415,0.6567738465469684,0.5427879185327749,0.5176701740939925,0.514758611016963,0.5467038816415588,0.5777492299047795,0.6177024721284291,0.8255127928637035,1.3812759095960008,0.9926432375635726,1.0256315834860759,0.8100145483062045,0.7620485498294378,0.7030641794635724,0.5857769861664294,0.633917844645989,0.7681969416555747,0.5789298321220819,0.5739081597502668,0.6164498253016936,0.6395447982121567,0.6901501282522428,0.6073909665622118,0.6454985541145467,0.7255308539613504,0.6937810232765889,0.6601665343900204,0.7916342123352326,0.890143642589049,0.7701716846229805,0.8574429991266022,0.9804175458288892,0.9411205554255572,0.8951386594994549,1.111583239762275,1.0509192221979275,1.1612850752443913,1.090012972923837,0.9960271434147042,1.1457136876883192,1.2033275979203881,2.0826779823719144,1.4259837438850114,1.814341049968167,1.068699011640754,1.0488859657960237,0.9541382903786979,0.9230690448776641,0.9764079459806929,0.7960356360961784,0.7813754881023549,0.763012348017546,0.8603360723084978,0.7085638710542036,0.869181061569634,0.8810146166124692,0.8437812575326022,0.946246459014718,0.6898351025744395,0.7445027248172075,0.6945469058561634,0.8146966538997369,0.8812962988125465,1.2384965665216077,1.0734007385577713,0.9262342563433792,0.9717408657504845,1.0706084604796884,0.9388127533022951,0.9515251807735728,1.1595740837625188,1.2078891139048826,0.9754722378693054,1.1169587074412712,1.2633861755753197,1.1615813687022016,1.0789559780774098,1.1902310702258838,1.0820704612244672,1.0566481325440564,0.9448054880793406,0.9826244457011027,1.0477805233351094,0.8911966317481985,0.8589340353272755,0.954556420010709,0.9544935715900762,0.8046497239550298,0.8581027270490855,1.0019265373173623,0.8860257317005915,0.8011150699165547,0.9405272451361887,1.086820112976697,1.0306753428265591,0.9785780370197659,1.1339223627281338,1.1110946335702723,1.4832980970759224,1.007180025913825,0.8679561432748597,0.7888337398662194,0.9999512716088405,0.9085090302603999,0.963636959599545,0.796629892316366,0.7094157102270057,0.6288176085033417,0.5549278640175456,0.5207260153936357,0.5466398299687466,0.6202406931286439,0.7963825905255206,1.4817871925582637,0.6220510103750871,0.6914883814334701,0.7133461488362728,0.7488337239834952,0.5385538634164343,0.90493415905164,1.078917737987968,2.0300316187839718,2.9406224686484297,3.0621671106656163],[0.7524660897654861,0.5924257991660544,0.6734765130843282,0.513682597660922,0.5397419785319465,0.5473509645875443,0.5118707422067145,0.6436155324965322,0.5875827268880365,0.5983315238622622,0.6727633492930158,0.7158048680137845,0.6600244819114454,0.6731183728202002,0.8113315840667592,0.7727543037898859,0.7425099295950606,0.8112585187897946,0.8645425598727182,0.804698166676791,0.8647754426887324,0.8506885939928817,0.9681736426510279,1.0808253209642829,0.8725251794495681,0.8839944105917605,0.7722763380280263,0.7215504251150073,0.7467709210960941,0.7615335191196647,0.8991112054326976,0.8323449720664987,0.9952849638320029,0.9361981005468419,0.858402154166319,0.8263251531580128,0.7618193139202891,0.7596994633240556,0.7298726235600373,0.7222877028772731,0.9252202607303909,0.8037367932207488,0.7669408026110283,0.8049288063204404,1.0492006722738922,1.3492821760932594,1.3254180393564514,0.892799115493378,0.8680280128671056,0.965417530288376,0.9008819658744145,0.988832170554455,0.8109531114345417,0.7921602704877684,1.4849985671571602,0.8832496667176958,0.8030870788191262,0.9163605797911839,1.040164127914078,1.2312242665689914,0.8674133402081555,1.0167042376519884,0.9946908995698269,1.1910243146519297,0.9256725406483068,0.8872759595756237,1.0563972099874557,0.9273386306903981,1.076400454325293,0.944728945738071,1.2434612599928523,1.7075628192758703,1.1866550115147287,1.3762339306431128,0.9463714909714258,1.6150804781204726,0.9141447470337972,0.9957407597522695,0.9016313220361414,0.890039680995509,0.8558045835473044,0.8333905993335886,1.3562578092578124,0.8300466731989786,0.8335933058885328,0.7760072449203034,0.762906111674463,0.8516599834726054,0.8357432862886425,0.918403638799766,0.9048081485186569,1.087920541383838,1.00166272214156,0.9657677699644974,0.8982054481408407,0.9586372536511321,0.9511027157743934,0.866359437986218,0.815590908459311,1.049016171166692,0.8690732433708154,0.9053930827694792,0.7874360577570181,0.7831288149108762,0.7831879816060978,0.6802560310515539,0.9748156451525866,0.6925101977493536,0.7104269912005828,0.8744050146965774,0.6226854302046747,0.5670925080853063,0.5670556708062903,0.6149340481169604,0.7176768984112687,0.6585485417408574,0.7002652890926434,0.7282248446164427,0.8985065235292474,0.8382558343906005,0.8092832280552782,0.7533625607724049,0.7026853195582529,0.6209089259593097,0.6017907242013231,0.6268106670109127,0.531831537696573,0.5861512576776281,0.5598543878626594,0.5828783405669261,0.5587226761447777,0.6024515376214903,0.5572272515846557,0.7279283015361216,0.6262663877104366,0.6385258454103548,0.7727231509968893,0.8378144245654314,0.8529149243554355,0.6703168613791649,0.9773231506074179,0.9213134974155377,0.733749200471465,0.7052040550867961,0.6623032727886323,0.7271308798422497,0.6304018779325187,0.6831484673857038,0.6138480272115792,0.6480883981600837,0.7645203821757842,0.8454109259362923,1.2914968606598756,1.8668330981354202,1.1592003481188207,0.9266422563337534,0.7788108358382207,0.7869957543174201,0.7096467197007167,0.6989738998627981,0.6041018737860545,0.6462585358140059,0.6383400252994397,0.6530582817794843,0.7845413770201768,0.7104911109409949,0.7877051408763567,1.1599889358418105,1.1616517664612005,1.10424584867766,0.817700349140945,0.6932465416758495,0.6846678863197947,0.5889796012806685,0.6305749971186646,0.7145308466397399,0.7647361401107136,1.0556986286776335,0.7367725532474133,0.8209955742082614,0.6961935272539553,0.6156341952098576,0.5862842528252638,0.5865576116152185,0.6367636649192338,0.6671000154271761,0.7184447644474651,0.9030014162861426,1.4143373667313353,1.039060011824548,1.072050330558554,0.8754153274538274,0.826884701808095,0.7631342446967045,0.6262457407372836,0.6650638692781105,0.786218950894623,0.6350486519795383,0.6282378609768234,0.6286771175060054,0.7188096863824407,0.7709488953598129,0.6666886896597579,0.7083292431090255,0.8202720706969208,0.7683480466728473,0.715500056763682,0.8694222982330023,1.0016146556458339,0.8406320210503698,0.9174385124666063,1.0702826783816695,1.0257225388954914,0.9306146818193824,1.1724434176330032,1.095252237953281,1.2671151523746356,1.162574851777772,1.0810901612022839,1.258366066840973,1.3277918160567523,2.1719859248018736,1.5560060256158452,1.8979899786193501,1.1876261258000456,1.1698114655312513,1.066911007696056,1.0168163629894413,1.0831962307197096,0.8958005557708498,0.8912534942091062,0.8713272193567455,0.9431787197690648,0.793977965477389,0.925363351199112,0.9338710210146867,0.8664165312347786,0.9748110945686269,0.7416741829654365,0.7980408324936719,0.7670461357378437,0.9098357935679353,0.9584266033180527,1.3426551925958805,1.1465565451576236,0.988532022025742,1.0887026003287739,1.1724889667819829,1.0424560495936854,1.068326520503472,1.308949828746936,1.3443873255214653,1.0862858828819733,1.2668380000788089,1.426126622243521,1.290236692362876,1.2104955773529185,1.3475878040102003,1.2220160992505957,1.2104315995701982,1.0821017487832076,1.1240948767902734,1.191805171073478,1.0041991929240073,0.9666709646264079,1.0700404729895119,1.0516242818456587,0.8898574166746516,0.9495213074272103,1.0876030972139301,0.9527841580069203,0.8574843524233233,1.032703677401837,1.1205209407348928,1.0819186523617557,1.0346828621754807,1.1983047701929375,1.149578155153865,1.549129749963509,1.0420046456517014,0.9068327860234516,0.8187767596792019,1.0081220070713162,0.9298090779182715,0.9937971755289411,0.8215733690591509,0.7333599457994208,0.6641660896664201,0.6055534727691106,0.5657936887298729,0.5986061344712537,0.6718341267140191,0.8672896874521746,1.5766200797276892,0.6703603265858976,0.7469231685331147,0.774236467776831,0.7853924728535502,0.5862559439828243,0.9605646008351884,1.0930790255247516,2.084716187175526,2.95101935322556,3.1506364526097768],[1.657832837052346,1.554287791642066,1.5958382916663776,1.365010787801058,1.4323355600408874,1.4260374389643202,1.3644876230775214,1.4800173036258542,1.3181507100795757,1.2283890793000667,1.2358428496821197,1.3280692061875132,1.2720186119761703,1.1512826151253326,1.2302580108727335,1.2016388041325314,1.1998213847411099,1.1629402258972226,1.1139018964811305,1.1471743292076413,1.1358063874962518,1.1601465476474828,1.2314621207266414,1.3369041525860847,1.1934535434517806,1.1880253161436678,1.1794085992323624,1.173141304113334,1.226971059587876,1.289324095598102,1.2373406737685575,1.2864444837367883,1.362709485352592,1.2859542292189097,1.2766436621309785,1.2442863103340376,1.346267141547256,1.281788200671255,1.2954371534807172,1.3307869695869203,1.3900280479990148,1.2596576108098567,1.254347713544847,1.244384242737392,1.3400408924740626,1.6185321755858928,1.5754214513789406,1.2566465553253772,1.3884307410390788,1.4398190579337304,1.486548335106988,1.4115561700926746,1.3963941591468503,1.333497495040208,1.989918084829641,1.427428260857724,1.2668762290593025,1.4239589405379873,1.4951621925783847,1.462385702455347,1.1950924352284829,1.2748283549736947,1.2320568162986538,1.3127359028017127,1.1457655957135358,1.150585195979999,1.2115589725738865,1.1456794885367096,1.1881523208935947,1.1379098693332823,1.352065772796074,1.7909425015274756,1.3012336407126366,1.441515572051269,1.1540980445364946,1.6216515183703282,1.1549190262282354,1.211348518392526,1.20840380710574,1.2905524592542397,1.3716529760308143,1.3995410508045956,1.6763337372333358,1.3841905998009465,1.463021116439309,1.4041046783465372,1.301437266949782,1.3604195016975311,1.2450503387413805,1.2894081226901841,1.1825421571830352,1.2817926935584796,1.1935143344140233,1.2196276554876635,1.2309447733543748,1.2255327437974497,1.2426292591991415,1.2992259761118161,1.3562393501484742,1.5420265462385194,1.4629459180399655,1.6067141011372654,1.4769976439400168,1.5495982585183268,1.5475141364683287,1.5244457687097013,1.719780059531238,1.621225556265375,1.6496700977468157,1.6464698239830904,1.5352693758044198,1.4414586674683239,1.3874567712992343,1.36617050476812,1.331687905516654,1.1700901782217463,1.1738443266357288,1.1280007428267247,1.127877622473736,1.1363812072737187,1.073323376676796,1.1160791310025202,1.0951394412364113,1.138862134256097,1.279056229379966,1.3155643286298857,1.3598541967362041,1.4470755963480055,1.4726026035195225,1.4806860860432258,1.4819481597800332,1.4566457993105526,1.4668895880775668,1.5657950649816914,1.4918288612783646,1.480329393837128,1.5534367959670665,1.5959014744327609,1.4252518783157544,1.2405142762905579,1.3696999612512002,1.2690618993106257,1.1440475290801424,1.2030671059888813,1.2355794975016101,1.3265989365683626,1.2180599470477478,1.370802835223535,1.378768739610361,1.4024678649804896,1.6017258029071328,1.608296206804268,2.0114011969511307,2.381168315164343,1.6650420846628144,1.6019975888080535,1.4721625822278435,1.552687321550723,1.3880174608454658,1.5123179985256563,1.3906500469751741,1.3591115900463553,1.298123706408388,1.324500519616184,1.4930428828283322,1.265233701015719,1.5166388206726376,1.741372707150268,1.8076113798882214,1.750739172671564,1.5939709648494065,1.459616945052011,1.5077693272398909,1.3629243382793539,1.3723069752296762,1.46527785013927,1.4446577555943936,1.6808058111648732,1.4472052264211792,1.5071100225041518,1.387789638118957,1.451632307636345,1.438470956320434,1.4304605650271085,1.4231735272408852,1.411204534551419,1.3998414980024845,1.5114988190905307,1.7545774142015595,1.6525584039014658,1.6194879138408949,1.4174331874689348,1.4986004672764663,1.5407763165913138,1.4949339621469497,1.5552275057990024,1.6254780969282552,1.6311637038414342,1.6271087089633278,1.5806922258470095,1.7426207333959842,1.7677381069207605,1.652740238917035,1.6903833936550736,1.81913428989331,1.7583092033902668,1.6679074031500611,1.7961503968792152,1.9483557476103963,1.775126272287621,1.793596786828966,1.928676487887372,1.9083923604269508,1.746288647796452,1.9265668717706195,1.8400293202553888,2.028830741815647,1.8714866186040375,1.8956042422226997,2.0606715334409866,2.12895887768381,2.796877333173976,2.286788495113751,2.5289375441272903,2.0545920918147083,2.05269039209161,2.0012331551609694,1.935143047876738,1.9787812609491058,1.8848072086977117,1.9166921494708407,1.8765781118054718,1.884501974486736,1.7961893796294177,1.8786087054921992,1.7848565649765853,1.6731112690757337,1.8308924751626021,1.6890463693778148,1.7846607235926606,1.7857164684627371,1.8774175994494546,1.8816952742440474,2.1777226019549842,1.9990100025333866,1.855721477493037,2.004141950041111,2.0127543294137826,1.9641788544350367,2.003519149012867,2.1859452532511137,2.1846512116732733,1.9937259686601418,2.1664969206244296,2.292583186845871,2.142855331659558,2.087144792234204,2.1965763350298824,2.0967845303701753,2.112787005867781,2.022788149816162,2.045407228074941,2.066156013775929,1.9450927098667739,1.928471070393005,1.9741232082798323,1.9381417262924556,1.832455143980041,1.8633403387931124,1.8945297261435203,1.7930035754807652,1.7615194147766127,1.9209064847271957,1.8220773254148819,1.7862327028251188,1.7354601415546478,1.8528924266497082,1.7506538752432024,2.0789136957635304,1.7253048611706474,1.7014194718977382,1.6563625738501346,1.679240170171192,1.6369991714042074,1.6595082952807994,1.5343086843622291,1.590843640652379,1.572084187240416,1.5898934485681588,1.4979301982967157,1.5713351186846067,1.609709661797268,1.7877832441528805,2.325085383794155,1.5906869142153457,1.7000868784802625,1.7346956112214416,1.606328223557367,1.5429690238675977,1.8333093243279845,1.8035026756581534,2.7249905029962345,3.501944045072179,3.84442429087345],[0.9999476389042067,0.9976384883226906,1.1589101268151987,1.0509011615799457,1.0294059198993566,1.0089025940575262,0.9228163125061852,0.9501428930933817,0.8861363658162155,0.8954768042197611,0.890057147369341,0.9169313667551972,0.9081475290263452,0.9107894791452339,1.0071486095614277,0.9300197380755366,0.9593988316735705,0.9681799153728059,0.9909514835873642,0.985829314591268,1.0007575983576167,0.999280614104426,1.0562250607768167,1.2281837169859837,0.9986578621970148,0.9838783001914593,0.9794982923436332,0.9328362855377064,0.9368219274655697,0.9404446270304464,0.968292454736208,0.9579945221616585,1.0710878804978456,1.0211904676757717,0.9735677079109887,0.9483250188444151,0.9390114416953138,0.960560895671104,0.9596107915348604,0.9536152693877541,1.0439848780150867,0.9802331286960857,0.977844401005998,1.0355119591074642,1.1563603162098721,1.3588416627709317,1.3142378913851667,1.0841736064538627,1.0458188225303715,1.119612780071614,1.0500230499301983,1.1830452042648938,1.0361771297298323,1.0083654728771279,1.5581346937175238,1.064083144331286,1.0089213882338186,1.0606256823397062,1.186912059032589,1.3553290391416952,1.0105165209678526,1.0706798361961478,1.0425160720434776,1.2556904802754305,1.0405697883010916,0.9933284292129373,1.1877315543118103,1.0765459143482814,1.0950032385016473,1.0510304420227154,1.2662479704103569,1.6943621841467098,1.2839478604607384,1.4250868881314145,1.0294777238300161,1.4892189671269715,1.0057432936804491,1.0427610974470984,0.9932064994024429,0.9986886816828568,0.980282773164419,1.0031996674682442,1.3898438494696537,1.1177501486705599,0.9998551471011704,0.9614658273047846,0.958076080959956,0.9842487020627653,0.9838002510679472,1.0147513986526402,0.9900170325322747,1.0371641774704397,1.0213673715352332,0.991479020776785,0.9546876805026129,0.9926024612981489,1.0267036453114244,0.9684225587553535,0.9495005522028205,1.1352588707834643,0.9782213797159741,1.0292216507466265,0.9528815395093421,0.9826209905160233,1.0279777696450823,0.9955894159362774,1.2858912498424881,1.0191728368083532,1.0285382398016931,1.1687502178021836,0.999879307435305,0.9298492725474029,0.9097204080848937,0.931673749131393,0.9608734353970584,0.9586887227429411,0.9439289298640988,0.9722149519614254,1.084577250535775,1.012085562750095,1.007420742685265,0.9678063378971223,0.986053302426064,0.9808490790226079,0.9789227994546575,1.0193004660666338,0.997800514359986,0.988005019005303,0.9678159152658465,0.9371474510880916,0.9860025421600105,1.0446381198875476,0.9701474915178168,1.0778641964295632,0.991518682308678,0.9663939355289533,1.2230376281184405,1.1233255294776479,1.160470283601319,0.9532435306657484,1.1449371585032193,1.090975693467891,1.0057622605134051,0.9724617357956716,0.9372679069683159,0.947588874982612,0.9393083789766611,0.9587660741210192,0.9077309057013212,0.9043933769923934,0.9960764539224319,1.0093233575912919,1.4349089319199604,1.8795146080623866,1.196161517974578,1.0645428346669767,0.9520902261522484,0.9934323518963348,0.9167483262820266,0.9531721452374058,0.9040964279695366,0.932100986942808,0.9534354454753595,0.930114847596756,1.0042561163165868,1.0011568383894829,1.0470736166852272,1.3103984017755492,1.3313610040620196,1.2964332743952305,1.0782887955592435,0.9770025594196512,0.9558433820344907,0.9415535240349849,0.9025413111722231,0.934103495792194,0.9295010309738622,1.1055567221553935,0.9296030671564196,0.9746331334014567,1.0633110202720117,0.9434233576523965,0.9489824479542114,0.9444155577285036,0.9632764559774595,0.993197772736296,0.9780877927329993,1.092620173143615,1.5851727259426844,1.2310093843688594,1.2120404489460663,1.008726692796457,1.0358799123884979,1.017614738295537,0.9873322175122978,1.0622675868278502,1.1501195930489743,1.0202450352246797,1.0194226478364419,1.0491415637465784,1.0624657395081403,1.0817538153496054,1.0231588307612738,1.0783756972599678,1.1443187864675275,1.101535613315644,1.1143161990920865,1.2001195239369773,1.2612540331864335,1.172903730657349,1.2481268206654845,1.3157407896130262,1.2844028870594553,1.2621374085495798,1.3951119590593417,1.3743801704906227,1.4977756879937523,1.469261804693847,1.3663302727373945,1.4889382350826994,1.5548293529634938,2.4119369609227155,1.7414614689899717,2.0870200863553054,1.4219930972588006,1.4076175881213129,1.3079101531465165,1.286630503797872,1.3421311904058009,1.2009961158767009,1.1663026714785827,1.197105704085449,1.2752392139077615,1.1389888968045934,1.2436293600761448,1.2385920505016217,1.1965134377773843,1.203704664155262,1.0874048391062285,1.1142177205729697,1.0813114372584682,1.169722861591746,1.1719024127314779,1.502412037015727,1.3171937753981415,1.1799802977091152,1.293335909691692,1.3344258384602001,1.2248306182946225,1.2971872664340478,1.4727980079745848,1.48176575856722,1.2917720567679296,1.447395431040045,1.5650275682137436,1.4373093158624737,1.4079072677322872,1.5104352412765556,1.4182471307067115,1.4261390635038969,1.3276157218591993,1.3622785572667673,1.4171512095531507,1.2839062875929674,1.280996943574779,1.3452516725523314,1.344209073853684,1.2240850451433591,1.2796563196223598,1.3544238606713208,1.260389054114196,1.2042441068678118,1.3365788403058596,1.42978798775846,1.4071000977698858,1.343610346810707,1.5317265503535136,1.448155314839228,1.8408028902977707,1.3746011770810953,1.2989094752230923,1.225102193411501,1.3476929218337514,1.293221379825974,1.3035313112170241,1.1988953566012543,1.17748945263039,1.1440658479845738,1.0109749980070106,0.9812539706627443,0.9738933152356375,1.0418193569414191,1.1935209127033304,1.614213599053942,1.0444388923896823,1.1755569984143317,1.11965536966248,1.1317853665982105,1.0932860347885534,1.3653148143864096,1.3038074644289386,2.347630050753927,3.341497750663624,3.637861910276063],[0.835114822780005,0.7561021165259634,0.8385525727570383,0.7403047155926917,0.7349715449958617,0.7510704647150529,0.6805880655510348,0.7656334796364191,0.6919002199650385,0.7270482841845657,0.7610853418943365,0.8056100062305376,0.7712150007463778,0.7732366554278397,0.9038889303158139,0.8340846189871557,0.8539728009637598,0.8713363130543916,0.8857736799285238,0.8814741629113965,0.9074535681868882,0.9072996503901949,0.9983936669233295,1.1448635199810535,0.9012271038105136,0.8884595027188905,0.8299236052429327,0.7862522437295166,0.8254722326484042,0.8469672757388917,0.9377370289626635,0.9140065048492394,1.0528627166742832,1.0096464749214826,0.9439444041907596,0.8970903790203987,0.8949860366861744,0.8657421755291264,0.8560362626631269,0.8553255676566273,0.9804104092542626,0.8907702212706033,0.882292441893019,0.9250207315707742,1.077338617395077,1.3182838866453515,1.2404468073383015,0.971406134902036,0.9803079487191059,1.0550543179166187,1.0374056214784397,1.0683140853615951,0.9168577785914105,0.8753785288449486,1.4994067183119706,0.9844543287712817,0.8853412278350314,0.9922634552390296,1.1396199896989336,1.2561120282524356,0.9510549192764118,1.0772583500562352,1.0459010394361963,1.2544875663606452,1.0003650295970736,0.9256289434054158,1.1026692992915725,0.9928141442806698,1.0123382228254456,0.9737826665889932,1.2310160610279317,1.7211082618907347,1.271923257544785,1.4663715791958158,0.9982936443797372,1.586647399819725,0.9743479015208439,1.029545906523727,0.9768625479385865,0.9746812096059457,0.9213328035795403,0.9221280562147253,1.3335325415570383,1.005746440358592,0.9386330130298569,0.885760053399126,0.8727316953284973,0.9260156577258876,0.9257498081232434,0.9893270838462831,0.9618544681447887,1.0654506223406581,1.0156277364301942,0.9941625372797392,0.9282042043749748,0.9756025730818815,0.9783742058779067,0.9394838835928943,0.8951301435433576,1.1218630754138874,0.9377861663893886,0.9331842102224341,0.8835293586368406,0.8896444360268296,0.9016562770602612,0.8483411715367333,1.1513762420961533,0.8241556820337073,0.8318228502716658,1.0492598664172006,0.7839864185937764,0.720718075600764,0.7041682257034245,0.7634664541210031,0.8022553047851682,0.7589998374807562,0.7632738339166409,0.7730323768336397,0.947737770394217,0.9262209754283688,0.8627245701865788,0.8121623400500243,0.7750567014523758,0.7600919123035198,0.7734838512259683,0.7968496384585697,0.714822433269441,0.7513954089664239,0.7302059648415471,0.7333906180421745,0.7383412413692768,0.8176235368824093,0.7298599605791306,0.9006216871836806,0.766304468826782,0.7535201070143509,0.9629307532402821,0.9206040870106357,0.946760396187339,0.747140344277147,0.9782428489930697,0.9117286558304236,0.8265913343477277,0.7775685986143259,0.7873927870469322,0.8216098322396861,0.7773016202984775,0.7950068114079115,0.7451440578087845,0.7442210882218079,0.8487822523324322,0.8926249446982006,1.3471501466756153,1.919011961388909,1.1824146989623723,1.0005297855018234,0.8617728792228926,0.8843180458265146,0.8159483799093219,0.8180857258922452,0.7252668994553841,0.8001016572984924,0.76559558776681,0.7780050015262067,0.8448071782362272,0.7910445038147111,0.8516040034175086,1.10433108179299,1.1414604109106397,1.12335016519273,0.89878053008636,0.7794438688783099,0.7820287156411486,0.7621510527109542,0.7574251570951573,0.8183715265839008,0.8450191593308933,1.1084055194499955,0.8424126518268763,0.9179078325838183,0.8664638309615742,0.7674614616340966,0.7604346292713261,0.7446224242363368,0.7653101675736602,0.8356717811395583,0.8496338482950395,0.9992372882634959,1.4385770739343255,1.0924359016522498,1.0392470990778306,0.8676951092684989,0.8366416277678886,0.7988702103519891,0.7271524435686887,0.7871584667770983,0.9148465254395064,0.7706905102627383,0.7645886072917135,0.8016096687327643,0.8546210008429546,0.8905415233139476,0.7991917420951838,0.8408907712746118,0.9363888748266092,0.894027196341366,0.857692585008421,0.9589849470849443,1.0683678652837958,0.9463586291170687,1.0129640091439343,1.1071940829692983,1.0795776849671168,1.0582053801253395,1.199740192382806,1.1547033258027875,1.2910873171024484,1.2207351790348575,1.1275165030989964,1.2734356470401385,1.329167218186271,2.344916531119228,1.5267780080553441,1.9353937123761509,1.2451968332142824,1.2500074312733778,1.1441600574107975,1.116223467420351,1.1550989053501415,0.9963891329804833,0.9935885420232348,0.9767562036488586,1.0399203671904869,0.9183253604686306,1.0793802452159034,0.9831541745453866,0.9434223681378936,1.0032794377932883,0.8596598721542794,0.9539292662227811,0.9211170355448393,1.0215613323871386,1.0606759414095328,1.3887749638402422,1.2267639118461482,1.0953171445684462,1.1695166920885034,1.2577586671786316,1.1343610526430201,1.149736696727317,1.3676930676378922,1.379076852417751,1.1380861930671715,1.3160830090965605,1.4635408066383757,1.3044805998832005,1.2479683245556221,1.366296348833472,1.2507990800059758,1.2674646834841476,1.1677600666940697,1.196540692261812,1.235070161249717,1.0818518984326375,1.0799506339598643,1.130370117854131,1.1172649451499037,0.9834343180616054,1.0527032393090607,1.1148548625333632,1.0225434170059677,0.9450175986941172,1.092103648498446,1.177173358655652,1.1545749421653142,1.081335151161693,1.2477759222409535,1.215260703254786,1.5610860397519049,1.1377949793083912,1.0468278373340987,0.9691740101710623,1.1367981019787285,1.0329662926719043,1.049425669297796,0.9095627058694962,0.8934730987539226,0.8594603530661643,0.760628571883003,0.7299875288928265,0.724892408319526,0.8353823613433458,1.0313936542227353,1.6173632993023623,0.8261149667421737,0.9567536473206617,0.9965384194673109,0.988512588020026,0.8491273969055074,1.1826883226955944,1.2568393209137585,2.629944615504134,3.889239723828612,4.161637509978034],[0.8106529064196794,0.5903285970365044,0.5497009450305256,0.5212459002127247,0.4869092811218771,0.5106167359736311,0.46612519677926123,0.5994678344124638,0.5075356786020999,0.5497685291737004,0.6083209602902797,0.6708490224809273,0.6230409853034494,0.6162372052741544,0.7624693732665418,0.7229421236205422,0.7043132118205504,0.7343544420418093,0.7570988085413849,0.7513675344602435,0.7994086223000948,0.800644510227782,0.9146990156129863,1.055589074219221,0.7751897266562136,0.765869662117495,0.6752275423235573,0.6276634264873591,0.6897414206327102,0.7183950063648165,0.8522232332497631,0.8107620754676116,1.002130325094664,0.959018551886116,0.8701328599648251,0.7929520695018074,0.7693324074760624,0.725342952345817,0.7027510174659686,0.7002056221274797,0.8834009982851233,0.7747353817321615,0.7594467704763532,0.8038377514907045,1.0073974283143003,1.2714631379664765,1.1860225256267445,0.8673001215365428,0.8858650265575259,0.9649381627493336,0.9566217019280754,0.9866063626902006,0.7754690686757226,0.7510848299393842,1.4103192645103666,0.8672422418232881,0.7707702065416181,0.878977944375472,1.0526682545068677,1.1814304112338934,0.8608435598469188,0.9772908255436172,0.9499028751369127,1.180774609531341,0.916244088553699,0.827921192766505,1.0191869377052365,0.9006987592293976,0.9193771369627894,0.8555201485398184,1.1599202693966393,1.6803764276721196,1.178391006568357,1.3903903048256125,0.9003315831934886,1.5351815968310154,0.8796594775326719,0.9692461363892587,0.9080704262155136,0.8883254903521902,0.8264234610713198,0.8134665884232268,1.2677650023711104,0.8773864141116051,0.8117241940884907,0.7483324066867962,0.7442866605204087,0.8615891366723147,0.8232057657651611,0.9313300092201507,0.8852250548113503,1.0263479899078114,0.9550176176079924,0.9497309793116606,0.8583004304319422,0.9198058911566017,0.9227261504053528,0.8649307647562352,0.7917385800840502,1.0429276735886956,0.851323665648257,0.8566905320935595,0.7875943980238902,0.7662546854941509,0.7438054966026545,0.7056108492936481,0.9632993291611605,0.6488942689954049,0.6667436033088995,0.9245241350651269,0.6016474122656665,0.5435361412626872,0.5138941929000582,0.5982434824678023,0.6748922127132244,0.5936746320761491,0.6153161847188533,0.6189255442742274,0.777316716347447,0.7625705834748819,0.6821783191847405,0.6410752569261432,0.6010742187438752,0.5519354535633316,0.5488439698327285,0.5619965709976008,0.471734399596565,0.5622467320756281,0.5277462001802556,0.5775021596048943,0.5492093889231008,0.6114350368755749,0.5417787827221295,0.7680541091649007,0.5932489842230689,0.5975329336837956,0.7416037446930965,0.7653784595463841,0.7826361455768539,0.6039865749194916,0.9031577614829763,0.8351402676887262,0.6771876211080119,0.6241717511831016,0.6212521770917616,0.6763479206752323,0.6315740878165585,0.6427586147533951,0.5740550157950546,0.5768529218541555,0.6839752859307582,0.7457233976346371,1.2326869840270451,1.9337888245284107,1.1225655331307969,0.9066162030535844,0.7338495839253785,0.7453681250583709,0.6840932345111403,0.6788163179134443,0.5593183254793126,0.6581778394286837,0.6054202996880274,0.6185227051062012,0.7365682029966485,0.659879603819386,0.7238652427781775,0.9887889908117156,1.029076351281801,1.0271580468311348,0.8009448718854105,0.6548638922288184,0.6554417623622613,0.5898390349325472,0.6035856891301469,0.6761499137395701,0.7188580820322735,1.0360872377880543,0.7159362143555702,0.823629523483449,0.696657414044082,0.6053347217480293,0.5920271962555974,0.5747950228066314,0.590414997325073,0.6937578256825667,0.7024721079639827,0.8908622079847351,1.3478849270553674,0.9615919568620782,0.9619380754535023,0.8068729918446043,0.7216289568476871,0.6674925002518501,0.5704911506202354,0.604140700570089,0.7529438952415524,0.599341872217422,0.6105079825399936,0.5924993196085522,0.670125443048888,0.7114316414451379,0.6116026985342596,0.6526256868969906,0.7517580973569431,0.7129687978733392,0.6829948731718529,0.7697051410132589,0.8787119118412673,0.7796333782442599,0.8430245220547886,0.91927848565495,0.9034618752453893,0.9567611623512997,1.0621844727187824,1.0035771312339516,1.11873999906597,1.0273110947531192,0.9310710920161736,1.0761254511838112,1.1286636104318248,2.2559111680096886,1.3186395286725632,1.7689293010915166,1.0500324885681969,1.069843968459438,0.9756114646138083,0.9834603013016102,0.9325263207131056,0.797522668136983,0.8342503133704173,0.7969214651934042,0.8553296236356362,0.7303990291840062,0.9154989136845039,0.780826277404219,0.7528696828109768,0.9042203502615053,0.6845315539789475,0.7886054074086662,0.7986695703968435,0.9070450773940187,0.978264719009496,1.228457236615473,1.1096179285877998,1.020595099759341,1.010150693873836,1.1373251537031586,0.9952682624424832,0.9738946502227362,1.1883318876389624,1.208222898692538,0.9739951128779555,1.1269198888478063,1.2852063617511442,1.1242039459472073,1.0580951023658463,1.1756470603953142,1.0540057572801442,1.0509791430796522,0.9622837157334442,0.9863066707198036,1.0165683081881258,0.8792240795984776,0.860085326599855,0.9107088874466904,0.9023142662443899,0.7866405025414719,0.8330979146040822,0.926246846419093,0.8606366671566843,0.7790243677699451,0.900045931176953,1.0058394509000554,0.992094675902587,0.9130822796587978,1.072008426896873,1.0679011938342282,1.3550170937522827,0.9748823469408896,0.8638222517380753,0.805755443372441,1.0411009262889812,0.8772709228989578,0.9103070657165655,0.7388613675778862,0.6580360301958401,0.6408966815016683,0.6144828885673236,0.5554788579510156,0.545646922054645,0.6297739993169034,0.8416575684596498,1.533845294363164,0.6157841504085562,0.7295861114665968,0.8698923044651584,0.7955400137682821,0.6140136020558429,0.9519260539383899,1.2756025875875543,2.9105562523359603,4.370069694007355,4.604596951433355],[0.877746355104347,0.6985060549472553,0.6724292277194873,0.6004060801105519,0.5970406047962058,0.5922506555973145,0.5687588491923709,0.732382574253864,0.6193510511983065,0.6284175327164491,0.7078973867776082,0.7975959193167325,0.7437603691691529,0.7090327057377713,0.9306020478491961,0.874028486520938,0.8141724180468883,0.8921195311806663,0.897840416243372,0.8929120892930626,0.934878848746243,0.9577512193948323,1.0734568874930113,1.1165729581674853,0.8877187271803606,0.8758973648538406,0.801570094932763,0.7531569252230974,0.8531499363355107,0.898127417203862,1.0161736305577285,1.0036647228021414,1.1572101527980543,1.136797650841917,1.0585705661906502,0.9746170572547316,0.9791844765001269,0.9234240822574145,0.8733752199688568,0.8926489073634836,0.9900617663453829,0.9308572219967218,0.9314286095409172,0.9445768356520713,1.092989582414175,1.316736487928406,1.2134872814916748,0.9693596455161032,1.0046508121136966,1.0523867246083496,1.0833189256841969,1.091217071676431,0.9802797132304825,0.9322182630851114,1.5490857716238917,1.0834667238994522,0.976149841089951,1.0731815314137012,1.2391296324846732,1.277489582880504,1.003201116569709,1.1899673154347836,1.1326514765510944,1.3883407227815603,1.0606436637992178,1.0073800220140792,1.1662016406798121,1.051311584854748,1.0942249131869544,1.0213189090134445,1.3062455905621622,1.894064762217804,1.3351728041925046,1.49097995804505,1.0645614587291714,1.6117674201587064,1.055507825523929,1.12810506408476,1.0538524933691484,1.0663445546567187,1.0465780242628266,1.0077347872952835,1.4464104007156051,1.0539886003095449,0.9589138174205512,0.9413864147301494,0.9458892238074522,1.0383000294811142,1.0033484669904535,1.1214043036368064,1.0410221917495606,1.168848664290236,1.11483505079441,1.1094419058913023,1.0307773051894642,1.0775539023144585,1.0446435315790232,1.0411825835310677,0.9832469073106583,1.186901200546197,1.0555226310781116,1.0609329531886953,1.0053761438595739,0.9817895416625333,0.9502530732921844,0.8724907967109887,1.1096756437557265,0.859300945472903,0.8415967927468204,1.0294778594831804,0.7546270420367628,0.6889064690711493,0.6458115155155605,0.6893124812711898,0.7674979695879733,0.6419773086768598,0.6813796604844498,0.6671346899755635,0.8528967407394646,0.8099387868931165,0.7563679643022868,0.6875533114259951,0.6346922021756811,0.5796355157108529,0.5892224791888966,0.5878765397989322,0.5781301136896678,0.6390257359653341,0.6636606917319545,0.7242834900146672,0.6906794471476865,0.7632511227628331,0.6741730530290436,0.8889674363425351,0.7172578213809165,0.6942450736305843,0.8422355135293943,0.8751317689434102,0.9073415167491737,0.6317729150647876,0.8743007473351017,0.8182052178205714,0.7224780783652693,0.6978407281411393,0.7161911034619282,0.8027965747142666,0.6984336068871915,0.749776204455619,0.721097177533474,0.7267755580195795,0.8723694140772921,0.9021683889830777,1.3273228611523495,1.8263958419501989,1.1673970797548276,1.0700152916512267,0.9250819860544507,0.9248925747819845,0.8492815369244465,0.8704842586701327,0.7098425904705222,0.7828299543972345,0.6860690562783801,0.7462746938633338,0.8845254006890799,0.6894066605183654,0.7658743384894272,0.9425993328169808,0.983953078660313,0.9916134941090261,0.8258764531850904,0.6954359666810332,0.7619979699926795,0.7321726346674555,0.8009189054185393,0.907301916236295,0.9154960726864115,1.225660892622482,0.9478134545035145,1.0137653717569182,0.8209250138842888,0.7802229132793089,0.7553950158999347,0.7257684808865791,0.7355964150631853,0.7941187206442171,0.8288643552397258,1.0160355464183703,1.372513136524601,1.0116061176643703,0.9726631679894533,0.8686969024725995,0.7747159864523875,0.7562406773254191,0.689914579446803,0.7624928620224188,0.8631967662103225,0.7813778917672798,0.7769825184926061,0.7780049658190028,0.8986619299455004,0.9562876774622003,0.8173867874944104,0.8359802630104108,0.9609270005961269,0.905364994784425,0.8227861778946043,0.9230498428712959,1.0596448572386263,0.9167230838713429,0.9609903882018319,1.0683217892408479,1.0394862978072819,1.0632094029784576,1.1318150072972843,1.090424645134917,1.215878259527886,1.1239890726559705,1.0698402351924106,1.211826386238993,1.2789607090315895,2.3851628738473285,1.5166982442046686,1.964507111295773,1.3018010666588027,1.351223039966169,1.2263885305755584,1.2821357010868535,1.181486359697703,1.0266484285947082,1.020264908728844,0.9875574367110085,1.023150421439996,0.9085423697757965,1.0785697482006735,0.962604945008431,0.9425434405097493,1.043468026540084,0.874685719211457,0.9993040406289083,1.0089174797365474,1.1274767452143135,1.2265046120657341,1.545345907697317,1.3702363363949102,1.2463412308608557,1.2791264299598206,1.3776693113444332,1.2656345932023487,1.2107020095171905,1.4213397140292037,1.4124005209647355,1.174797636939898,1.3370424403091425,1.4758487998546177,1.2791804563740579,1.2359579900569255,1.3598197518021766,1.247893320058415,1.2776746167108426,1.2199262588768744,1.2501713235429366,1.2433035710786127,1.08214776843283,1.1024684100416655,1.1291558792411849,1.0914334965053272,0.9609501760207101,1.0439235760863939,1.1009297938905556,1.0065705230380968,0.9285882053552015,1.0561682849767147,1.088682518585338,1.0100402084014408,0.9818098027186908,1.1327061098125257,1.127702317601466,1.4389706090711978,1.0481334417296775,0.9349782715371675,0.9065985843847544,1.1074908410869557,0.9529021951682016,0.970161975810694,0.8395197562617636,0.7909297913918262,0.7606142226492905,0.7773063496664975,0.671487014293338,0.6947983314530396,0.8131727916944825,1.0310511345765554,1.590196250674773,0.7764069317946819,0.876414390944226,1.0208930533500526,0.9411107162451993,0.7243886734194607,1.087844773502096,1.3953754194636905,2.885817409565754,4.361995468934517,4.803246286238216],[1.067633977344692,0.8788709885827358,0.8323270057092371,0.7556867907099132,0.6969079048790794,0.671054181384535,0.6249284478898837,0.7613434707333585,0.6087673554455885,0.591910763916759,0.6405889528603114,0.7295044168655833,0.6623821792932177,0.6169220809774079,0.8183418964897017,0.7580499340821834,0.7124270115463709,0.7560721624277975,0.7621829946566973,0.7538113900248997,0.7832304961054005,0.7972228135850592,0.9179200385139401,0.9776435038378908,0.7652951656732491,0.7646859316997204,0.698457575439388,0.6731741616354402,0.7472191194649653,0.7840593697748317,0.8536642115303249,0.8409245517694791,0.9983139355168449,0.9544574613458049,0.8742375115777782,0.8176225218549491,0.8325907348208035,0.8110605467926922,0.766127328138495,0.7760889369054312,0.942026261066141,0.820805114674803,0.8002011553672893,0.8299097517690626,0.9929141231769769,1.2661285970092788,1.165705775606355,0.8370343744748989,0.9044006265345448,0.9740511936084434,0.9785092351702575,0.9831958912304253,0.8874901523776708,0.8344577984907632,1.5540825108353689,0.9792537268400665,0.8481944112953343,0.968618527690725,1.145274109947826,1.125735303309913,0.860153566379559,1.0087884361843282,0.9624278637570153,1.1781907936996099,0.8814420481763072,0.8437993099530936,0.9938102695091686,0.8879600968482128,0.9379094070261486,0.853810025027862,1.1804230443767842,1.7335351021616803,1.1640723584848585,1.2917102952103647,0.901031697210711,1.45997306569976,0.8928245718702829,0.953781336197282,0.8944574292971674,0.9106494364568161,0.9157324062907722,0.89443425601978,1.3040640232152794,0.9104215446129851,0.8840887637319448,0.8430516382337075,0.8212842757734488,0.9010833865751868,0.8425502597837782,0.9511764571583059,0.8853035070070461,0.9816662576336662,0.9364430233434298,0.9241066906270573,0.8678403459858489,0.9001588887715904,0.9344661123627922,0.8844454600698612,0.8680677151124664,1.0634937035427747,0.9379273143347017,0.9786292162765042,0.8754842688442744,0.8957741280390048,0.8930670301021548,0.8128913760658288,1.0773058800203696,0.8578267177249281,0.8903822004510434,1.0199560195076665,0.7765771354861957,0.6979182655707625,0.6692090799715641,0.7186453296972017,0.8035202595204192,0.6393611697414436,0.6450599322636998,0.6326954296730993,0.7650148136924713,0.7147293906326245,0.6652278622702597,0.6317290910896715,0.5697952108409191,0.5585895472936248,0.6474143568579174,0.6771869219525891,0.6128789618712023,0.699393423873401,0.697677700349105,0.7063108310877054,0.7016586392040454,0.7192904911155918,0.6848522539124703,0.859270440389673,0.7572926747247366,0.7547675549172584,0.9368597934729684,1.0318636979309639,1.0579435997226656,0.6515549059695944,0.8926378180566839,0.7895386087405938,0.6375495118986896,0.6434718287371946,0.671507379515288,0.7617656900480971,0.6151847487124512,0.7406133101692121,0.6894670868848317,0.6969343156214717,0.8631591700052458,0.8886309036069475,1.3163631175368855,1.8298977347792682,1.0850847620524067,0.9763900050366446,0.8429365141943956,0.8586925776651608,0.7654737024794543,0.809103142511117,0.693733509494777,0.7311603938859591,0.6621870961429543,0.6979862805581136,0.9310043045828992,0.6633006336674826,0.8253417229622997,1.0718000966401477,1.1118323276665951,1.1054272583880587,0.8963673603910648,0.7549849965281193,0.8027867440013066,0.6932783241937324,0.7398440475867055,0.8241373414911731,0.8419809533238496,1.1553391047969528,0.8448431433214385,0.9609492152296342,0.7513100994294037,0.7321868342965774,0.7187118513274018,0.6889320679522577,0.7037578635847164,0.7224560158927028,0.7456852564583971,0.943796257303321,1.2895450441965568,1.0004091310299417,0.9893541021409814,0.8388326689246749,0.8432575542845245,0.8316906398400706,0.7318994867796011,0.7963819088673103,0.9656610436042901,0.8749339957691173,0.863764713296733,0.7690510038006924,0.9815593281674281,1.0082179409148173,0.8819863541444339,0.9549531223299973,1.0695187688873493,1.0118066576521627,0.9558179110970363,1.0758970215036339,1.1830929572893751,1.061210418968447,1.1133357747129278,1.2196982115715085,1.1855541061353616,1.1986075117415063,1.312314248349025,1.2456606793737497,1.3583351982455616,1.2766747424575569,1.239147031868365,1.3808180210100784,1.438731101864172,2.4781629839923593,1.6494565547137992,2.032404086289531,1.380336086826495,1.3831779614709692,1.2942159591987032,1.3117191762419664,1.2742441107460354,1.1443159124790772,1.15047837492949,1.1153957789437852,1.1340026797966132,1.0374100398328316,1.1830646024421738,1.071226889044695,1.0115098495546766,1.1508603532502284,0.9631622440764082,1.047163334821687,1.0619896386559016,1.1818556201439356,1.2063668322630243,1.4838194931644522,1.3285405882753472,1.2476324173587685,1.3066520228872207,1.3700475850130716,1.2690215270712821,1.2775514147854714,1.474851664249258,1.4799390666887018,1.2550789054464722,1.4224152192628665,1.555315113087483,1.3781501414675978,1.3377894383462219,1.4539308591730848,1.357522811816986,1.3623461681602904,1.2899310661518895,1.3138623180005153,1.3420207313588095,1.2089836595277261,1.199291625557931,1.256525295762487,1.2332214465835394,1.1033115566428087,1.166924014412812,1.2468918080036462,1.1522398041848716,1.0567763118782803,1.2150052254580543,1.1831910470718137,1.199408573333171,1.155686695707586,1.2482907417761757,1.250126341496965,1.4714313401338954,1.1951104034876765,1.0993849590277645,1.0503343666792067,1.225335547674803,1.0679720326832212,1.0902803492957132,0.9580082087994178,0.8967892213296382,0.8557268013312194,0.8356812127449627,0.7051667482844497,0.8011170671614285,0.8770320894457241,1.1203450392828354,1.7203532193137612,0.8341060112152632,0.9864621236468261,1.0692733726879688,0.9580146290343743,0.8308606937979174,1.2022257620920667,1.4180246871026307,2.9037530056736074,4.219761662103239,4.554128005528555],[0.8389409172221712,0.6257954425431507,0.5649308956576025,0.5669876785822711,0.5610866291064147,0.5651157446449929,0.5315189778475581,0.6753491209875879,0.5685939956220408,0.5505770468742992,0.6069901478552355,0.7177915184890097,0.6395861295073773,0.5743496477047363,0.7452299463154175,0.7032721805957062,0.6672401973364356,0.6839932115908913,0.6758871075367379,0.6808215943876703,0.711907579956701,0.7238913312726245,0.8448126914539841,0.9343808035279335,0.6862385510982258,0.680127702875492,0.6223084883994072,0.583378252552814,0.6664153018197289,0.7143554863983165,0.7834807988461484,0.7758802205538058,0.9637477781717111,0.9003518545949334,0.8200398433177127,0.751188565936851,0.7518839792214751,0.7206348719390749,0.691002296498252,0.6966677476628791,0.8116287622764676,0.7367494096865942,0.7142060255314757,0.7927745394330455,0.9554234621234223,1.224970028595628,1.1345363272119693,0.8380777248208761,0.8047547764787065,0.8729270961794706,0.8441058214759706,0.9881180066725009,0.7692033896225448,0.754638626341112,1.407096060695534,0.8294907707149229,0.7620132190625138,0.8242197927455231,0.9948885325634039,1.182443414787828,0.7962260620384829,0.8991271890437771,0.8618361880491213,1.1064354177328632,0.8152181455114045,0.7746608299144421,0.9393010175925826,0.8146928595267875,0.8409071960040413,0.7638193016276392,1.0990957016202718,1.6296081282303274,1.070383383987456,1.2348810860071098,0.7822994930878238,1.4323383814930994,0.7926790665927079,0.8700699595244831,0.8250197559469767,0.8215145654268919,0.7868566041748669,0.7848672532543662,1.2892199789911354,0.8719359292532699,0.79289948048754,0.7402798234852268,0.7368242433808385,0.8386002323884452,0.770902504323254,0.8804692680655531,0.8059897996223245,0.9016080289574775,0.8435530043394228,0.8616499955316842,0.8020449220318231,0.8498874718767679,0.8758276607585048,0.8338909822184357,0.7956316360211422,1.0456815953324887,0.8696324559796891,0.9329265780596273,0.8418554223798186,0.8522245694755727,0.8157858407623203,0.7837793679836935,1.0340331497188866,0.7622845703914868,0.768862400138617,1.0144894683824597,0.6980943507511961,0.626816482486519,0.5792775765154274,0.64202384658579,0.6947444579310751,0.5611519544590707,0.5669130526630601,0.5592687813421028,0.7036241283575502,0.681731060133479,0.6125462566049531,0.5621618348688643,0.5067941773394634,0.5112781817002278,0.5562323829086236,0.5866860354864077,0.5362807254652119,0.6298959918977104,0.6024080066522773,0.6551630625694889,0.6292330629615674,0.6732697050242142,0.6089723610312343,0.8413294770615534,0.6619301210242424,0.6562697247742958,0.8067184491907667,0.866143176625322,0.8929289796344537,0.5665734933214086,0.832902339702901,0.7534468125922023,0.6131816449878915,0.586046492609965,0.5876343897314295,0.6746618094367959,0.5930415345097968,0.6945733841677079,0.6173346479854883,0.6268995560318761,0.7823061134685617,0.8259663291869096,1.305084932468047,1.9282668728870906,1.1543782869323767,0.9708832085140042,0.7951427411235265,0.8233449217823482,0.7385320239639144,0.7601460981719816,0.6224561121726001,0.6845245615591754,0.6203025373442649,0.6327552320583819,0.8084500865367037,0.6236606557989666,0.746952699389738,0.9752580019210082,1.0213065498297336,1.0081404575755908,0.8024920956379958,0.6655212379802251,0.6909291693311734,0.6374312146875512,0.6552996005143513,0.7453284950786941,0.7753635407011642,1.099702145864467,0.7442462466740533,0.8927373764395778,0.7438468064079059,0.6806671449344884,0.6635548302283674,0.6429017693727579,0.6481618871651839,0.6770390464040764,0.6605037314081509,0.8389788648303785,1.2655789434596858,0.9175671067719143,0.9447416849120954,0.8004031207295551,0.7700542037298687,0.7249455217427107,0.6317318308915764,0.6807913857052391,0.809429139038193,0.6905306710183147,0.6912110453731594,0.6605368726100802,0.7550248441178591,0.7930320835432273,0.6979768070637653,0.7273908203062965,0.8200006953891481,0.7874503133224356,0.7322913633357038,0.8080412012514613,0.9086628671607668,0.8161354516081314,0.8491424622634776,0.9125942536122669,0.9057718562719806,0.9425439980247056,1.010784397023657,0.9801247166981577,1.082059116100741,1.0243456677315907,0.9404788925876911,1.0664876674101402,1.1224487857439007,2.2412544645184855,1.3083185261925634,1.7618749783528949,1.0725192460542483,1.121251775246304,1.060364855348002,1.0666029173616847,0.9883464362601274,0.8573641591382959,0.8806451560539945,0.8528529314823428,0.9283731701768012,0.7816152556452066,0.9038607735151839,0.8562641915038437,0.817825426390581,0.957920122906134,0.7476609888984335,0.8820694948188156,0.8829114258295905,0.9781938373905946,1.0414160863635074,1.2856126538877743,1.1666565060948837,1.091511354739493,1.0739313658764087,1.1808172368268617,1.067369771670799,1.0272237409746672,1.2096495368410964,1.232645263062493,1.009956621730271,1.1207118814742065,1.2528841426404145,1.1102527417695622,1.0428513730103095,1.1477433978791287,1.042841987315358,1.0454476008317146,0.9839284587522887,1.0077179666944815,1.0168031863793543,0.9117051292232476,0.9069639918143872,0.94093638460168,0.9297884422979359,0.8352676013279489,0.8803414622790855,0.9576291484769086,0.9052546061246539,0.8272937811924846,0.9226075304977784,1.0003223838806963,0.9773288770625805,0.9053228024788471,1.0514115196841927,1.0161264575201434,1.3325233443542361,0.9597839823096957,0.8702365894970459,0.8161263747401649,1.029804869209714,0.8736884093033785,0.8966876228056981,0.7553850042623234,0.7037779977014244,0.7097101921624925,0.6948951365618548,0.6153236118974398,0.601679366005551,0.7347141095277451,0.924811778842038,1.5317551827822777,0.7191050915672723,0.7952025840547858,0.9355436743196633,0.8912314990237987,0.6737743403892646,0.9715176819652628,1.2724702206234606,2.8313077097119494,4.22167088989189,4.4339194740626775],[0.942458196166181,0.7237727218779427,0.6502919639649976,0.5821503841283193,0.6229002770286353,0.6158066728426386,0.6076471976702258,0.7249986891454582,0.631228209686613,0.6252357223030593,0.6782186756297864,0.7755805485057637,0.7223065331202667,0.6505492311917352,0.8769325413434843,0.7968717332085743,0.7576892933406699,0.8307106287826115,0.82076076771537,0.8434047953236463,0.8737913082165147,0.8565865608830402,0.9705272406614285,1.0447608468949845,0.8009504295991415,0.7972486564945519,0.7633715637367133,0.719818791276607,0.8062531714147173,0.8353222133739246,0.8879182683245622,0.8708219060449026,1.041989834384493,0.9980154386139969,0.9195383893323631,0.8773930556376235,0.8586654795818387,0.834717505104093,0.7836356341829354,0.7937328876080794,0.8954418522701337,0.8485751321646823,0.8276395703199309,0.9029847364810379,1.002616259180447,1.2493327907288456,1.105726861485863,0.9240415074454019,0.9165322845775855,0.9355894502158018,0.9507673822777939,1.0090380996655628,0.8972485124635128,0.8738578732548843,1.4918681883980112,0.974725947072412,0.8638905361481644,0.9693193045526525,1.182764189964599,1.2426485074561893,0.9349356713311413,1.029988393695296,1.0169280303851986,1.2270285219175847,0.9423572889131935,0.9073132852001332,1.1065699500734514,0.9679629674952804,1.0046661534711456,0.938591100602599,1.186587563116441,1.727679755379913,1.1673528510395894,1.2629006237305265,0.9284673278210231,1.4085476620116795,0.9432501193442845,1.0023315693020012,0.9556295624119492,0.9511278886182212,0.9110519971723808,0.9026610291999212,1.3197521741116507,1.0050574208171046,0.8308264192947179,0.8376680966089892,0.8461930060857545,0.9643978679878698,0.904212965097534,1.0046802898034066,0.9513980148211993,0.9616108839666242,0.9552536636696031,0.9453281900326387,0.8918859617679255,0.93196724111968,0.9875869526995723,0.9149130056946316,0.8872756227427168,1.0803100500268508,0.9551096358015794,1.0152643795931886,0.9292927626112986,0.943750679879565,0.9276193591272854,0.8867128875686375,1.1001721923455765,0.8622954343821706,0.8501256541423616,1.0455875342112042,0.7942675782836106,0.7090513836968887,0.6501543785614888,0.6876015662372855,0.7692487875125621,0.6567941711015047,0.6732689475001266,0.6731445103101489,0.8526686180074311,0.8234307639019037,0.7553144834867768,0.6822858015644114,0.6333982292165068,0.6038494431524957,0.5977443553939439,0.6241758004433018,0.642804996956098,0.7062055851161695,0.6994109760621211,0.7543225606026456,0.7523381266212914,0.8183479804026129,0.7310211234449472,0.9430987341981324,0.7472682222545418,0.7232547547060632,0.8396537613750622,0.8917088155782641,0.9633750366296019,0.6459565324568283,0.862391134413994,0.785010248886252,0.7227886887320636,0.663912575021424,0.6888548053595661,0.7613805887837762,0.6959952043393909,0.76258930080186,0.6963809902550832,0.6898312894940672,0.8182096259167672,0.8645146415796142,1.311867599773179,1.8994354007106176,1.1155023324611275,1.0251241578431913,0.876939088542735,0.8870182499275656,0.825971661265978,0.8371534470137907,0.7194238325514094,0.7691860571472248,0.716334494140475,0.7331939045841349,0.8803294246823379,0.6625574835392827,0.7609611761170265,0.9445130900095372,1.007937505229712,1.0144554026874417,0.825965008937023,0.7097249886344148,0.7639720707165971,0.7696477365364494,0.7683803483100928,0.8311918172141238,0.8414703417299403,1.1396450589818559,0.8487314073132008,0.9726355814554061,0.8726361723567904,0.7956852073007133,0.7886009929318298,0.7627242196020505,0.7443069321360469,0.7903049284850713,0.7315265681811798,0.9292272932177901,1.3107418062113059,0.946287080733625,0.9661552833787637,0.858516655831479,0.8319353414240447,0.7866885901115319,0.755402349387891,0.8248095660892613,0.9233175077858011,0.8014289516321055,0.80831248527035,0.7967302755400856,0.8554120689172781,0.8879342422459015,0.806784053191132,0.8317099649944933,0.9210085827885295,0.8880969587336097,0.8534642594198741,0.905309490616099,0.9574396619213902,0.9203566752439899,0.9666301867269634,0.9868724766353308,0.9939655253643255,1.1065467739008967,1.1009236984220818,1.069718230953202,1.1738542434908026,1.0777254061095745,1.0020110955102126,1.0906586082459653,1.1500040970033156,2.4161455175764903,1.3529123603312125,1.7866924071274286,1.1286682146874907,1.1762775378144137,1.1253460262516704,1.1804615437369217,1.031794801792199,0.9433201075905666,1.0126707383832572,0.9501810210577315,0.9932088234999886,0.8921071677873357,1.011925732528054,0.9440971907552365,0.9252455468992293,1.0297975028851356,0.8499272877810357,0.9721716509547693,1.0302374608234646,1.1171814302344605,1.1514870408118842,1.337323364700337,1.2303794495833227,1.2109826631367202,1.1328808648637156,1.234249927799237,1.1271588045778371,1.0583189750727129,1.2166160491323224,1.2143186952875726,1.0307308874625931,1.1294180606345632,1.2347619808991477,1.1017027181411227,1.0750255039061283,1.1659307127803396,1.0769545537137202,1.0711033239124088,1.0220203551712235,1.0506340642477898,1.0453668204336006,0.9668723706669801,0.9685550710517508,0.9875753897057128,0.9818788371139965,0.9175357663884192,0.9643819620248612,1.001180456818909,0.981088962780715,0.9144165828773444,1.0037300664793902,1.0649431549539803,1.0588092182769575,1.011085865252653,1.1204184530398689,1.1414273891903592,1.3650143348673764,1.0582908782900897,0.9650806650470979,0.969993186242797,1.1957259573061434,1.0019358340597693,1.010305933882748,0.8795242206497731,0.8318229630528186,0.795125698063337,0.8181071469530365,0.7218410134396587,0.7031354429746307,0.816627805570844,0.9943879011389903,1.5068322492188986,0.8021902917098288,0.8965959863921581,1.0779767325674368,0.9642904826681619,0.7392359386477001,1.0234930580393713,1.602102699746555,3.3776698839980286,5.0773439138234,5.59694660497863],[0.7138216624950307,0.45916952893889246,0.4630726497094366,0.37079480705091933,0.3785773811494956,0.4061940861397795,0.3501101183812159,0.4861145255290634,0.3898349048021744,0.42917377023972436,0.5047660537227227,0.5616119074675502,0.5110416346960851,0.5100627190520496,0.7390519134831232,0.6423335783590337,0.6219600919577952,0.6983497567373179,0.7124468264356688,0.7073179378450776,0.7552059520583116,0.7391047779211132,0.8867190545501753,0.9800755613498173,0.7172379321170919,0.7176445215871882,0.6310982638504314,0.5919995392365104,0.6671801178262685,0.6728304013088722,0.746409115976382,0.6945494290325909,0.8783727605319012,0.8183966231583412,0.7379063300386183,0.7126697365972284,0.6908135072350793,0.6951401102462793,0.6487253976786572,0.6359358030909192,0.8551140034903594,0.7432590020292609,0.7011984195984223,0.7675113152888472,0.92801439607694,1.1894316019490279,1.0863607466888074,0.7751270690242505,0.8511215053891958,0.9245509145725468,0.9320134663960049,0.8775259541141377,0.7613874427850714,0.7183111346104534,1.4534302182847216,0.859200121641101,0.7386509153622297,0.8765687957942508,1.0607570020629706,1.0966772807648122,0.7874691230703449,0.9091430065535341,0.883238614017019,1.1150169696906842,0.8243251992540035,0.7732261446271925,0.9861367520226756,0.8500761768569083,0.893370604685602,0.8210082173535828,1.115349488005766,1.6663789424437698,1.074341434098212,1.1895400231485012,0.8201358532502308,1.361152812195351,0.8105485561903627,0.843707433086885,0.7867496321818598,0.8214788164458602,0.767419325555118,0.7582708209127584,1.2092164073548042,0.7856909327176668,0.7309360773602014,0.6788945594647021,0.6937279385273566,0.7890594235897285,0.7446352291159941,0.8280373122506629,0.7906584725340942,0.843307268139078,0.8149592937360687,0.8012014549858499,0.7547956719586633,0.7937846324479876,0.8620486273304138,0.7568789095482731,0.7053988670380479,0.9393091353880704,0.7377164557845269,0.7486608650572876,0.6747387330531861,0.6608612914831482,0.6347914113986692,0.5649446405490661,0.8383456096887367,0.5410920620800268,0.5445005589086886,0.8108163403646513,0.47913320925552044,0.41951214804513554,0.40918179620668227,0.5040555864754697,0.664115390479016,0.5596879831453087,0.5675296557172175,0.5481244037421703,0.7355841287265862,0.6925234459730503,0.6304812287276652,0.5801810245582212,0.5304582706705493,0.47643898906291526,0.44476534604183504,0.4672021856069392,0.38539841068147335,0.4454573803908625,0.4045592982230046,0.4542013948179318,0.42826463720913455,0.5179270124829407,0.44058144538570243,0.6480453405266106,0.5114004411949536,0.5048435581892459,0.6584420130929552,0.7394569216104206,0.8558514477629307,0.5246426180967284,0.7811888670908699,0.6954773016899357,0.5667471495972699,0.5377394145796008,0.5534211886341729,0.6304680315209836,0.518895648886531,0.5758124077784567,0.4601064473863163,0.43962911106556357,0.5863209001678203,0.6606635382148589,1.1499275002159708,1.905239015597342,1.0772103181577413,0.8108644737767141,0.6323793230764522,0.6315368256729041,0.5673755516044113,0.5680809782687815,0.495975465407748,0.5690701258422417,0.5138563874565016,0.5463837251382123,0.741412002908379,0.5774747696502012,0.6368871738188777,0.943278744350793,0.9433871115669094,0.9732036795743001,0.7001193225491867,0.5676310060858051,0.5830525324464063,0.4948518077730552,0.5317182680858543,0.6014836974145281,0.6351584523229592,0.9693676884909941,0.6379293263344566,0.7212308409094534,0.6107167263502814,0.5037902577331878,0.4881442150128741,0.47697113061621843,0.5052925967700386,0.604512822337799,0.6342888341391124,0.8645709893426944,1.3203307667679092,0.9098539385470382,0.902866053141985,0.7550460141468972,0.6667688508960057,0.5953163978369819,0.47787012182846317,0.5152605336555405,0.6984551997162584,0.47613161532676007,0.4485986908482081,0.495369823973523,0.52866694842698,0.5678590380925659,0.48407510864864306,0.49217654921197723,0.5837150569702253,0.5543086893783028,0.5503070002368876,0.5898301699790588,0.6677151570030757,0.6152871263854579,0.6941626661575158,0.7242432887122434,0.7300591228549149,0.8642055329742477,0.8782786689314339,0.8329823720711172,0.9247014785944262,0.8233604961354488,0.7279131497181084,0.828782230885317,0.8623603086022855,2.2132088594668873,1.0587699963821589,1.5992384021741146,0.8393492250339012,0.8718863123476255,0.8129833168255979,0.8801125282757618,0.7226394803771522,0.6416406232075499,0.7471043143166576,0.662289590518064,0.6825414005486018,0.5799195043651098,0.9004919496464908,0.5924849402702935,0.5976727147365337,0.7785559407218076,0.5262863686093253,0.6904611051171285,0.6900989076854989,0.8105749215363091,0.88261188137896,1.1040103066920406,0.9974125769868225,0.9251550361695046,0.849721686798777,1.0121120322215456,0.847251709056878,0.786737000570985,1.0028043351847147,1.019567572520717,0.7593014941226954,0.8880688516850376,1.0394253544615948,0.896812991681365,0.8219604103130048,0.9107315570848956,0.8127449400158917,0.8058774546829737,0.7597192055935967,0.7753912396663318,0.7723946585123131,0.6718500239431859,0.686164142462957,0.6896480932581275,0.6921559561854854,0.6006538316120857,0.6319714707374628,0.7285257564192411,0.6805332241830039,0.5805386895719766,0.6823404244970722,0.828411682056984,0.828677479853944,0.7714015128479647,0.9044138367131102,0.9725137941559308,1.1649178691130575,0.8336406170359029,0.7106419697217947,0.6880089305172861,0.9522448672732835,0.7618929177091809,0.7775304351762085,0.6603738975423663,0.5421253360270509,0.5356236659145693,0.47143663748910636,0.4239224267697796,0.41397825166954827,0.5053665143195634,0.7262404563215885,1.5303186744750596,0.4829753569720535,0.6123737940108482,0.7941701965116109,0.6670077663788685,0.513838452942932,0.8540580372041089,1.4853526929667626,3.4435904249627747,5.225268478901072,5.649168060212406],[0.8058601533048468,0.6003813572009976,0.5925798812603419,0.4930361322495418,0.5059956337140193,0.5259276688961178,0.5092195708209681,0.6433116624979829,0.5576056807292328,0.5769800827292921,0.6572710606058879,0.7474094699487409,0.6872458689008547,0.6376235566623762,0.9195696340809376,0.830225659296603,0.7525466601582302,0.85268969272779,0.8395954646218655,0.8754275866476878,0.907783170634849,0.8922255929316001,1.0005010535151513,1.0071322713957642,0.8145551796441787,0.8101668681548495,0.7832402234990653,0.7455004846895256,0.842308803061384,0.8550130212122325,0.901994778898791,0.9054235274092834,1.0613546704143275,1.0113197707408925,0.9563556209881201,0.9055114755464698,0.9053586846908247,0.8688020915729715,0.8071653908510088,0.823262730564877,0.8970050028101141,0.8685956124508291,0.8547044499597078,0.94490029899497,1.0036420099035488,1.2107422927464797,1.0914232855085788,0.9463306183580167,0.9420172277572264,0.9562591990810563,0.9985563625486253,1.0405830926125954,0.9629370277521773,0.9088164892260406,1.5436506220338784,1.0430961595422914,0.9082408479367412,1.020422908493205,1.2381088192237168,1.2439507382633261,0.932589687678133,1.0393249422401467,1.0250923611541145,1.2360970653676342,0.9642207963034685,0.9424895024770972,1.1653589792106271,1.0098041443338999,0.9555335434143116,0.9396763142797009,1.180915764700438,1.7622264942888348,1.1807007098206217,1.2133631121810906,0.9054910834946953,1.3108363344576195,0.9520422522563218,1.0196848668423926,0.9808487689720156,1.0168042586554034,0.9781446928199803,0.9280875842856332,1.3524165395576024,0.9488171888051793,0.8551552984647435,0.8793649271483309,0.9028727496004854,1.0364241150920632,0.9464352417547967,1.0471162039328197,0.9729164912891258,0.9847081350695485,0.9825801435960635,0.983684367095075,0.9357340345439733,0.958232866014405,1.0133489319808129,0.9695535343318223,0.9443377895741345,1.1349933104481431,0.9827281566011107,0.9660358445759792,0.938618941448689,0.8769698524720778,0.8462041488016191,0.7475403455433703,0.9847399157937915,0.7192019011346815,0.7068463425429355,0.8934670547260857,0.634505363071099,0.5951335455582357,0.5672383815358477,0.6349089340024701,0.7806828800765749,0.6739272953543258,0.7061233474815498,0.6634369550187094,0.8256988838092074,0.8192730150373793,0.7092796903042726,0.6444760428467907,0.5899055039421409,0.5721557466620882,0.5733979331656859,0.6080092477498258,0.5460025864494106,0.5871080693840744,0.5743798196655598,0.6237576993626814,0.5936602054406764,0.6544115817497288,0.6159960361906862,0.8213756316854264,0.6764882513435215,0.6673705416711282,0.7842530762381857,0.9021543774142706,1.0108151576483375,0.6444764818520548,0.8329912265334368,0.7383482777092485,0.6913689073550705,0.6781523004099657,0.698928995822755,0.7800002204230657,0.6607441436034608,0.7551958613557725,0.6494373860532648,0.6024674447458273,0.733907234666492,0.7949413978602258,1.2732469375507813,1.947114436160413,1.159333286310134,1.0130330592901777,0.860839682196939,0.8285081907627301,0.8003675895525203,0.7934658954191602,0.6905974171949413,0.7713716334309394,0.6900927029123822,0.7266280048756543,0.9078389219410796,0.7063823842019195,0.7552947631109672,0.9629376133339282,0.9805579100086296,1.0254976530980586,0.7926056436905782,0.700080879016201,0.7433466330284066,0.7130407399435105,0.7522108459288563,0.8317353485418022,0.8544118295919138,1.1402546224004095,0.856695400846418,0.9181583749286537,0.8314270254851677,0.7387463514544005,0.7324516970593788,0.7133158430686001,0.6989235856706821,0.7721228635246746,0.7597838657895283,0.9068619962756835,1.293681933632584,0.9592591479106758,0.9548176194590219,0.8285176557719539,0.7888927628455327,0.7285665044120134,0.6622711979724033,0.7002161569992966,0.8792237357199,0.6500182653711216,0.6032675176145265,0.5989670264588205,0.6531921137555271,0.6811725006662775,0.6155510530694167,0.6251098521184755,0.6872530939715216,0.6567482023550404,0.6351188904523914,0.6810439151812203,0.7538529568164574,0.711822034836248,0.7835272084734941,0.8192823931731629,0.8320267578820405,0.9889065251264001,0.9630662995105514,0.8866654236973521,0.9838237637367283,0.8593921700295483,0.8023551684227858,0.8980142868205693,0.916702842545259,2.3178471413274475,1.1082777761271172,1.6599315280264786,0.9417184401527553,0.9679379506194462,0.8945067187315856,0.988783908163161,0.8316126092385985,0.7647719507369712,0.8474985327315868,0.8034615896420709,0.7899428956068381,0.7122872833907692,0.9945491221875233,0.6965873683717287,0.6947584725293533,0.8842832162136804,0.651591682931529,0.8169060602366273,0.7975048861840334,0.9136507423914684,1.0035236498685043,1.1584088451838637,1.0851114139174254,1.0446028525369095,0.9446214968478309,1.0920527427518523,0.9380180752938663,0.867094688798491,1.0688330618384607,1.061991888023334,0.8274485558374273,0.9566470125314376,1.1007405418087628,0.9604127393960612,0.8962557279135037,0.9749951856930039,0.8850145911893139,0.8766371490498306,0.8478751782252893,0.8606883903622096,0.8521448802821864,0.7574080846343209,0.7845693030457725,0.7765969602740368,0.7731878448573971,0.7106840649300608,0.7366588633398533,0.7990225363487037,0.7626524517656835,0.6882237196992316,0.7829041449623982,0.8532584452524679,0.8997533263327641,0.8567251350632009,0.9363448288512091,1.0581717902738978,1.1350418481498685,0.8919481819190997,0.7776213345187378,0.7906950603145634,1.019482463790567,0.8330932581211715,0.8333975448084937,0.7463184017714847,0.6235053468094927,0.6416463733908455,0.6115671075645536,0.5612118398147293,0.5551806881878549,0.6426659053992857,0.8190909426416234,1.5743793509553115,0.6157909023927666,0.6990194331954741,0.8672096850740142,0.7293642862713039,0.5904501602375385,0.9579129698896479,1.8020750848710434,3.8643820694815156,5.883178018414916,6.605823941650292],[0.764726761580935,0.5495998153655026,0.5679267601964026,0.4654905878036497,0.5440597698439193,0.572195743455675,0.5021103113477825,0.5705597922640977,0.510712310883107,0.5091111891568366,0.5694128630975517,0.6385171380167464,0.6099203704403012,0.5704309093304746,0.8006427828494354,0.7016968468757327,0.6676140439626761,0.7493229380098066,0.7498002163516856,0.7584252941436758,0.8011345169022629,0.7781177816757058,0.9423001258543924,0.9829887461370086,0.7323472861740518,0.732171825192199,0.6955753157281703,0.6460343000887434,0.7254412149245855,0.7332274617963819,0.780395926381244,0.7434618337911967,0.9105799883582131,0.8483574875824798,0.7926773374715463,0.767983831944824,0.7574364728046726,0.7690452580801427,0.72771804779561,0.7229470060791188,0.8530382638065976,0.7889250961789673,0.7548686805507941,0.8354706867021546,0.9451596357062139,1.1761712654445133,1.0455553134327815,0.8610944176653512,0.8951302556642639,0.9360817240480632,0.9643511754514905,0.9454353159944611,0.8009360328149899,0.7825792280096348,1.445900004002917,0.9014159944951138,0.8006856745050643,0.8794800005057601,1.074068986987864,1.1429711322463854,0.8281277603368737,0.9259492770460759,0.8939113726116878,1.1396917825056305,0.8530714788296885,0.8095636825822204,1.061432431571071,0.8912156554576673,0.8832617888168235,0.8582935758543666,1.1673423096014803,1.7494427128851415,1.1395359715287956,1.1887930892123848,0.8172894899017761,1.323045619602946,0.8228614144276734,0.8626230791841893,0.8158236985844127,0.8440045713644957,0.8061898725990896,0.799340056507631,1.239214100842236,0.8698165344774892,0.7972567400458325,0.7546296117287687,0.7548610217388427,0.8504661685381669,0.7924446200732125,0.8598572783219863,0.817537388732989,0.8458736847451304,0.8255966032076703,0.8130513980094493,0.7865754565259231,0.8144667812003457,0.8976333879176549,0.7959133408249067,0.7516811153471862,0.9774660984687192,0.7961433684895418,0.8103517583227908,0.7683086579591162,0.7702715406583314,0.7434587055494288,0.6873381999549012,0.8988580195822592,0.6488920514376579,0.6274627599716618,0.8589001314679836,0.5833425219890859,0.5498431554009721,0.5299135795314724,0.5875372825210491,0.7017185710199838,0.5908515912022805,0.607782224952522,0.5756258049440501,0.7795011643814154,0.761594501872365,0.6708563098249689,0.5869892777627234,0.5276481679764171,0.5264063450037958,0.5152578691805824,0.5406239853159037,0.5335538977414415,0.5501060939321949,0.5376596199517126,0.6003868798994418,0.5629229441403831,0.6440325096958356,0.5752315710386293,0.775085164223823,0.6199281333553647,0.5947307042123415,0.7066336353689237,0.7616205082816132,0.907307712011001,0.5856091832643103,0.7502926182956176,0.6742130322495528,0.6308878099974559,0.6145439152780586,0.6192353060993082,0.6849162900586827,0.6101705468210469,0.6600985576990669,0.5730060040657977,0.5602156492673993,0.6762598661162139,0.7443463902541468,1.1388672312255415,1.914396953778484,1.1599132842974145,0.8678333489478556,0.7188309800433409,0.7278495557823114,0.6662702422827476,0.6692591134997147,0.6003113755237471,0.6693295917125115,0.6095390919120617,0.6491358152086751,0.8258067789445708,0.6639684774015648,0.6733783200831132,0.8599679417854166,0.853838795941626,0.8989406253222165,0.7006710050658868,0.6167112827326502,0.6587034733598933,0.6255057418149562,0.6448766303321841,0.6972002860403811,0.7188822517995137,1.0429735348092224,0.72742505181542,0.8490808044242935,0.7144176964000146,0.6425526256587857,0.6331185128684217,0.6315334101862676,0.6434536148959942,0.7155141376346644,0.7022160334859595,0.9037032804444972,1.2828241478567355,0.8735962046437562,0.8948675116066191,0.8549718891479098,0.7444013073911793,0.6774574238450396,0.5958950418868748,0.6255269497045255,0.7881590008714456,0.5979968810762004,0.5934385391606714,0.632291269463117,0.6563977494161448,0.681967561702537,0.6169799798586542,0.6050058199166926,0.6767499201222638,0.6580556654443104,0.6146133767120894,0.6569300056976687,0.7271278928410014,0.6767946417889112,0.7173755660928021,0.7516732188881083,0.778282440705631,0.8926514828664971,0.8560448946509235,0.8065051397356596,0.92612159209402,0.7911573072210936,0.7264199125752058,0.8092612691656054,0.8359166699587935,2.2810444362430973,1.0523369743099766,1.5640066898017635,0.8821260148173616,0.9191033507448005,0.8721278157719485,0.9616988005704208,0.7755066925562252,0.709088857198533,0.8199121936313104,0.770290173982206,0.7538902088195596,0.6804252450549741,0.9895077951240627,0.6791246242769757,0.6904945165874846,0.8597200770455377,0.632456539060923,0.7938096762709721,0.8265231950083156,0.8950633082618561,0.9952220028344979,1.1926761920363922,1.0996571067449965,1.0360321685861622,0.9325344548314839,1.0755149775155133,0.9340846442852209,0.8450162956648533,1.0507866158964128,1.0531369462644335,0.8148419378010229,0.9138440136939239,1.0472579694529043,0.9356548890399601,0.8593661425067007,0.9299982399430758,0.8302088468837001,0.8412258066859474,0.8274717522919446,0.8477115845995361,0.8105046525529295,0.7228304702807816,0.7713869244558235,0.7355786991503902,0.7305045117389718,0.6709539599149055,0.7061967158936691,0.7433162812785608,0.7183952779550374,0.6796714291534051,0.7207204087522769,0.8549041315242157,0.8867151626993275,0.8282514903019165,0.9165444753934068,1.0465376970521598,1.0435532593835792,0.821870082892832,0.7389116850061731,0.7409216801752964,1.002520980795624,0.7807105546937966,0.7839920003134561,0.7170093571792862,0.5929262147292099,0.6275168200610333,0.5988041592948717,0.5693113902239662,0.5725426139130454,0.6552475712485836,0.8465481281338391,1.5904242138792173,0.6074378659478267,0.7297626046272869,0.9525567098980812,0.7572512982409481,0.6290376870649852,0.9069871315548039,1.8376886786043123,4.01136814958448,6.088344500297851,6.810046327214373],[1.0415123768880687,0.8406237553134096,0.8025716584395087,0.7023537943624788,0.713546188382355,0.7180730396828011,0.6763229049247774,0.7513319888689611,0.6891349478031631,0.7239315025904536,0.7993573724186342,0.8396632857145271,0.8210195228744404,0.8161032307015302,1.0836380080621726,0.9448132685764233,0.8842975863142402,1.0031507613390986,1.0045056421165408,1.0071114157710588,1.0641971932251113,1.045617818560764,1.1528132462980285,1.1615218661153097,0.952391037399983,0.9696678975451571,0.9552055457412423,0.8956651834086352,0.9572174966732393,0.9304636384624146,1.030371134039372,0.9654464423459161,1.0844119494316764,1.0645723371384292,1.0178381256572948,1.002988518629268,0.9510742401461345,0.9562172752930814,0.91548251787652,0.9073098064682096,0.9855965485578829,0.9788619334370826,0.9607537956945028,1.0645109274924085,1.1240293855635923,1.2610908484764967,1.1513901021249884,1.0504755260330645,0.9952078301961259,0.9940668287725788,1.0465352126806091,1.0841248116190634,1.0233805766456898,0.9749932635441159,1.5637639665972383,1.0869090564236679,0.9781169699723037,1.0752725891334303,1.2870043323877833,1.2963427217656247,1.0472396827271444,1.1291621801927176,1.1284800417435126,1.3671486153292958,1.0940396894694504,1.0654284547381516,1.3232741947965536,1.1756596014510565,1.136884639582913,1.145522512903037,1.376784170738885,1.8487379299999858,1.3404306281018206,1.3419514293474761,1.0990429337051868,1.4536325410725845,1.091141225615222,1.1208961270369762,1.0698516604250108,1.0938734859142407,1.012526185475499,0.9859133851343881,1.374151695985873,0.9729531307298436,0.9144978728359916,0.9207059804682575,0.9752890088044721,1.0459741387828967,1.0446322220247337,1.0961421259953192,1.0732376695915014,1.1577035819184038,1.1386663575720042,1.1123647006992339,1.0637285525737668,1.117371265785536,1.1430339277725774,1.0296785822576524,0.9465140348418282,1.0764277009999061,0.9475669630429603,0.8962435031128798,0.9019204455995191,0.8411918345719561,0.8206634363804756,0.7746391247043964,0.9551148131615796,0.7680054257489037,0.7764012488559175,0.9357063193265555,0.744224745681179,0.6945762077831286,0.6905969099219315,0.7955994720272456,0.9405892168529691,0.8510606353013552,0.8694723676575882,0.8434641322642616,0.9890346273244016,0.9919318555368535,0.9002456203262199,0.8305240781127667,0.766452313547075,0.7256289259487458,0.7403847199408583,0.780307005382527,0.6701767167963639,0.7285809417751072,0.7097830426392145,0.728307023868135,0.7325263891158915,0.7151329384689319,0.7268598429097382,0.9011503744548968,0.810418034209108,0.8106910149739561,0.8591460574677067,1.0847291225555729,1.2342345423253336,0.8265292746332363,0.9375417159025898,0.8471405651541548,0.8312858238021883,0.8168396147487611,0.8254000454766881,0.892040374085448,0.7626356944930666,0.8514537488108874,0.7265985778161557,0.6779906458776046,0.752344448021748,0.8038362925983842,1.178701550364281,1.913517927733273,1.101732795688204,0.9319932804300204,0.8396951677655567,0.8030792835802163,0.809353135239692,0.8216904168554633,0.7553805353687286,0.8539979278438314,0.8096545592751182,0.8236980642354438,1.0588620647727367,0.8711355092598271,0.8703499602791795,1.0045726886164952,1.035389000215332,1.0880794611541071,0.9162513009039277,0.8544212076189629,0.8581197387847636,0.7739398242399136,0.7982911928533416,0.834157287351615,0.8799481485219042,1.1549451214361135,0.8851648921215909,0.9649092266129896,0.8365560387910727,0.7734437641412019,0.7740395569756229,0.7657129086855138,0.7729723051140882,0.8431900703938991,0.8293316072010526,0.9494594983974705,1.320625386587611,1.0431938582933808,1.0176506897626114,0.9213201901449573,0.9041781008526157,0.863376282662091,0.7716722127222065,0.8343142639600392,0.972086052369891,0.7911015956793432,0.7806174193131514,0.7114838481311809,0.7973032284290986,0.8074123114607287,0.757641407524729,0.8035478980164771,0.8326188032061758,0.8230994899590169,0.8543038771467973,0.8614077991986426,0.8936465650118137,0.9173067804908661,0.9643359971733544,0.9765846320736882,1.0043833204351746,1.1812703657754906,1.1168392779695664,1.0340147365274315,1.126808357436488,1.0167089569390277,0.9736130644539178,1.0213720631389729,1.040816224307152,2.4363825630571943,1.2081474955444527,1.647675404277014,1.0195078749760806,1.0281683633964138,0.9771393845337806,1.0668850866719917,0.9020448829194601,0.8675257052968139,0.9463172328831613,0.9226316303760858,0.9089814095182311,0.8429690383484684,1.0681557766015781,0.8328093389816822,0.8599501126533291,0.9960978075574523,0.8134212627207957,0.913121682884254,0.9339409472659135,1.0212429898425357,1.0677822895120246,1.1986200276171521,1.100335534042215,1.1304312288129093,1.0167574049000303,1.1447865839880602,0.9911409118748982,0.9351156113257826,1.1228080122479016,1.1184152666824696,0.9563121567678665,1.0439385714162877,1.1659579382391485,1.102507503503644,1.0393040834767453,1.0968143176507075,1.0013739660275522,0.9810390100004152,0.9321808218194536,0.9511082639550245,0.9564344417997789,0.8937079301502641,0.9006534367086148,0.9113707447169254,0.9464553776412163,0.8694024052650012,0.8784388660510404,0.9621356065110798,0.967069797717052,0.8816718421039975,0.9459553602025761,1.0353951241202946,1.0847399236639672,1.0508928329069622,1.1401552314612502,1.3015628073389867,1.1992239339263098,1.0889637519362712,0.999087491335231,1.037872688347653,1.258590460663373,1.047631244724854,1.0353653789741477,0.9432129703696391,0.8159169123230001,0.8207743762250154,0.8015340040936075,0.7084138326148369,0.7908973823004822,0.7705355870647971,0.9238835997446512,1.5957018728475338,0.7741201942221514,0.8721643389010345,1.0756751709130676,0.8774645757505294,0.7721794270101997,1.0255763294004636,2.1508510612267275,4.2974662307999605,6.479726026724074,7.4045699168825285],[1.3285494635537265,1.1363371296445235,1.0845310397741128,0.9394287230346846,0.950243065120193,0.9913758249408776,0.9264071076186083,0.9942180531232353,0.93152444815206,0.9803483950422673,1.0690620941701268,1.1150052616509447,1.133780821600876,1.1207146325255015,1.4051767353886573,1.2935008672592916,1.221992165889906,1.3724419373874799,1.3790163701355371,1.3622082825189936,1.4384412148671504,1.390753272697421,1.5369420247900833,1.487922049103316,1.294640145725566,1.3083377037368913,1.2879765588635632,1.2142528671344335,1.2878738233289415,1.2546386784594696,1.4393215840011757,1.3275823680510803,1.4423872027528155,1.4707463201129454,1.391727647520632,1.3795939098473926,1.295798070535776,1.3009574734937823,1.227169719900946,1.2353496810858204,1.2635566626612296,1.3354927066803621,1.3338975189323454,1.3936133697431727,1.4405780541295057,1.4777233310240347,1.4000855498582567,1.3801936364212597,1.2908169317263414,1.2632762737536039,1.3517036376417146,1.3431802650275653,1.3325124220406808,1.2838224362832609,1.790970458649269,1.4574224214404405,1.365940378476739,1.4176287085123622,1.6126059773553352,1.626893750045237,1.4344972918758543,1.569515574390911,1.5799866971455254,1.7970381608008321,1.5210475091682916,1.4719404458612497,1.7285768934047283,1.580056998532213,1.5327456124923884,1.539780054549275,1.6941183598746294,2.0528967004736516,1.6944602723203395,1.6973350439543446,1.5503711163320393,1.769786921148944,1.5483146410383792,1.567928108368867,1.4988653793702416,1.4986369784310076,1.390077709407993,1.3287152441704437,1.5629623387630178,1.3160540790418849,1.1733318953762084,1.2198992374859907,1.3315394593529988,1.3866842869282847,1.4303507838099374,1.5072657458107013,1.5441117333328152,1.6149864984101818,1.6460771830893302,1.5814389678213003,1.4983727853324995,1.6096532769633776,1.49019082119841,1.4039551199929015,1.2599414085983014,1.2356567005563683,1.2162193198387843,1.1078445493742106,1.1608760981899693,1.0659592138161555,1.0646416678067936,1.0309325169327315,1.1935335516761736,1.0373062523832057,1.038944151717307,1.115624098182402,1.026751156526088,0.9693313847544149,0.9556378757836618,1.0101354417512611,1.126002960610582,1.0429014741294687,1.135233485111875,1.1140056514983152,1.3656486730879194,1.3726782376142939,1.230760361471742,1.11024058201444,0.9935692249445556,0.9640271443951419,0.9759552458189976,0.9982462808145599,0.9612536457167985,0.9969801327830693,0.9974338085824342,0.9838340184854609,1.003407378773171,1.0095879354565271,0.9906539627898193,1.1493111031053513,1.0476088407010962,1.0307212667281973,1.0664004785946584,1.2020859045787033,1.3188299065331028,1.0565710863585591,1.1352931251672496,1.1160631450741538,1.1374325683319966,1.1086205719199504,1.1258195214947622,1.1709265348266438,1.0490445202764433,1.0967095499574948,0.9954244190240582,0.9338844997282645,0.9884778682555591,1.0299913951584738,1.3323568349583128,1.9555200314964827,1.1337157166116356,1.1171771138056237,1.081803707914631,1.039037712382365,1.0757956907232886,1.0517906152088832,1.0046510714359784,1.1225496438686862,1.0604494301271337,1.087777871801554,1.2345941297968281,1.1430460516709466,1.0771336695228877,1.169685855706,1.1600632593380042,1.2186965491761428,1.081548737207254,1.051039420107466,1.0638793246182352,1.0528994366496263,1.081376411628535,1.0977229162011286,1.1592571937903253,1.3684483480846223,1.1655900794812704,1.1991441662901425,1.1254466917921644,1.0463104187163532,1.051318437890033,1.0480718138962388,1.0434243034717288,1.12685438562741,1.1476287413465731,1.2189342662654166,1.5417951415899638,1.2312594127621725,1.175014636854134,1.1247025412328095,1.1156409940117507,1.0686837656627521,1.0271132909232328,1.0639885330841017,1.2038479593520077,1.0716586537336221,1.0787560502178506,1.0330868829794986,1.1220016176525136,1.1415019357912346,1.0736073891912132,1.1188821403466334,1.1711846195031201,1.158938159807033,1.140996668920307,1.1881194355339195,1.2513298505828199,1.2501571977809942,1.2936620191662023,1.3255640244643379,1.3494923415799065,1.4712354188208996,1.4360408173187291,1.3234516566211771,1.4648376903490081,1.3035135829725777,1.2989151909615995,1.3582697137072344,1.368099375485873,2.6754348422628653,1.488570512640118,1.795035421320645,1.3162867954554647,1.3595610418700665,1.307882306716761,1.4166029423141238,1.2439734073251207,1.208948568550033,1.2806101653995223,1.259546105703236,1.2115180793658678,1.152416554375634,1.3112050620578153,1.1179095567351987,1.1382232353288548,1.205886098689249,1.1171236906007829,1.2108083424647922,1.2193142226410818,1.346240842520539,1.3731654527359567,1.4601378225307133,1.378425921196282,1.4319371145376587,1.36326180446645,1.46316667630998,1.3129402491475248,1.2847634682973494,1.4651142189403024,1.4533223697295374,1.3118411833216075,1.4220321920193224,1.5541519345945711,1.481179426303299,1.4187206458652235,1.4815345241099336,1.3722082903356172,1.3625014732046505,1.3066254179053176,1.3133511330094498,1.3310785752358156,1.2532742384477353,1.2333884161317294,1.2539304063959762,1.2770438670667938,1.1819993910636937,1.1947958820306004,1.2527513555164818,1.248068699100273,1.1735393104891554,1.2398779501166297,1.2836488968396316,1.337887132387085,1.2915317711854004,1.3542050108529107,1.5063429287108385,1.4264032552227053,1.3189252635435813,1.262180317352604,1.3009884984721483,1.4512313782733481,1.2662858107650905,1.2523422183305903,1.1590049159347524,1.096182514122459,1.0803525276872128,1.0869770071423996,0.995582659835544,1.0713049789322355,1.0709734039768952,1.2185023053868265,1.748431561083105,1.0761857714997471,1.1915864843196193,1.382364161531171,1.155553965115192,1.0713203953001778,1.318857779300179,2.4936698154448047,4.492205124287086,6.772542878374144,7.9438588245722555],[0.8957679066647956,0.7046738506020106,0.7119130905711429,0.6011364311604519,0.6821767217070701,0.6974861967133975,0.6603127513022613,0.7027189799430571,0.6786586151975819,0.7241407161300454,0.7826880862579706,0.8112912775151281,0.8279409536973998,0.805933677870741,0.9758914816518324,0.8859949742577501,0.8686351999013718,0.9479709353261667,0.9715965313358293,0.9591148387110676,1.0370787783972102,0.9979355149458521,1.1779564612825162,1.2079322185947896,0.9436620188990693,0.9388206677739154,0.9156301525088089,0.8575050164094485,0.9083055306719167,0.8865489629346155,0.9844038448888113,0.8883444565261652,1.0559192305294698,1.0245593771869428,0.9591724841764585,0.9440744329199077,0.895332610637293,0.9424125550143685,0.8900545835618615,0.8849739273941093,0.9587825701760506,0.9623305456450411,0.9497856431061489,1.0114979627549299,1.0846887654944568,1.1825938503989377,1.1195825183380996,1.0346896191568355,0.9900404148669718,1.014319551110288,1.0718258935707714,1.094180203870481,0.9580740815113945,0.9575073114365247,1.4873047785935865,1.0457190503568956,0.9822654656628699,1.006086648849705,1.1837512273405213,1.28223083780383,1.013566911515508,1.1185173498909786,1.1094850715610143,1.3694536932204877,1.0843869381337345,1.0223265297221322,1.2867950382184687,1.1113988651825324,1.1095157151472856,1.0634538660382011,1.3205998090329698,1.9071640581403166,1.3384152509302785,1.4161260663740032,1.0465840086597955,1.4483005563103237,1.041216236759378,1.0718344970083225,1.026848511503563,1.019504459392621,0.9706206842214387,0.9406669483311225,1.294735358052574,0.9779134874388501,0.8973145628058283,0.8723932443129726,0.9332394360451416,1.0167532648250128,0.9804255375842095,1.039094801221786,1.0437161017024437,1.0497968344414919,1.0526111414742298,1.0159057699734415,0.9891565642463587,1.0467752296946704,1.1008470098486318,0.9455041651463858,0.8760860990702425,1.0088166389327495,0.8952731755121001,0.891883353051387,0.8588411479468935,0.8563050292669121,0.8415827989660841,0.7790787742806587,0.9492843016755174,0.7536422034166873,0.7461067792242769,0.9055654361452296,0.7182596788318818,0.6778349130654664,0.6819117029843484,0.7585135660507012,0.8933068890431024,0.8070139990470976,0.837770523577754,0.8177983281332348,1.032074024378995,1.0078765274783095,0.9588584915125294,0.835902667213592,0.7758178140965685,0.7432169466055203,0.7207208377871078,0.7344557745546044,0.6653846373367497,0.7079145485519592,0.6792009208210252,0.7046931316275223,0.683220270963436,0.7015121839303116,0.6975254029877441,0.8737875055507779,0.772940682151845,0.7717695035401032,0.849272973867377,0.9559119125817606,1.0903598171807263,0.7926183754032857,0.891382736143824,0.8516460128797443,0.8606868201157681,0.8218370095761823,0.8229743210805074,0.8618478542670212,0.7721813779238632,0.8159843157844595,0.7088787550258707,0.6912159517117596,0.7206729987476124,0.7830643792564742,1.1258562244539936,1.857740340180556,1.049434969489553,0.8960757179622434,0.7963115943998244,0.8004465037024117,0.7844526443892513,0.7751821537267775,0.7428864447743472,0.8270528689749252,0.7969457930265217,0.8038202903431229,1.011334391753898,0.8536294370223305,0.8507103488131343,1.0076332241725157,1.012407938244694,1.0646254401155824,0.8638484462808487,0.8048844412111471,0.8179525847000213,0.7635011365615321,0.7830283286661373,0.8147146581299677,0.8368467740636883,1.1176092557824855,0.8460752310752092,1.0021698565428618,0.8155604529965849,0.7603851560849112,0.7644620110847673,0.770190361499803,0.7698948570827792,0.8435843295028611,0.8409868775447182,0.9762998240575059,1.2988146548346557,0.9722894901592564,0.9963554885380027,0.9623857947396818,0.8866030766489826,0.8253199427219033,0.7402161464960124,0.7671178972071805,0.9055178470182804,0.734316122130419,0.7174211381087976,0.6980015188032296,0.7588831764118575,0.7776394959652481,0.7146569963787232,0.7344155034111788,0.7751119658521731,0.7594716266331729,0.7497985552393039,0.7791174541331429,0.8249957338871451,0.825796274768527,0.8709069268917009,0.8911198248349228,0.9141046694570377,1.057579698312572,1.0140367293210553,0.9408883255203991,1.0465753001123894,0.9182501540603059,0.8802909965057701,0.9567593507571354,0.9787562269745975,2.3965573877176194,1.1534012277351942,1.61283958753458,0.9777881001675103,1.0054570108357672,0.9524235080964455,1.0568738298269218,0.868455186808174,0.8208768124408218,0.9346469155740583,0.8981025179737732,0.8571208834434119,0.7923992340005099,1.0456418660894933,0.77617361684932,0.7918863891239608,0.9566659740404297,0.7459765477105824,0.8753211039462517,0.9023235102347535,1.0007152589791788,1.0746265439535267,1.214198653806921,1.1236711951385348,1.1335304731302913,1.0099511154710794,1.162290691805971,0.9840829158904529,0.9065636808689533,1.1055267958584774,1.0922214243083819,0.8987143060980696,1.002924021582613,1.1424832409957282,1.0417123438104718,0.9761603266278529,1.0449031935022188,0.94204038340152,0.9400952267685243,0.9090000935571857,0.9233707038880818,0.9151571703677376,0.8320214439186344,0.8552242620779227,0.8511451911757665,0.8714227648662368,0.7955181434150161,0.8081650824874641,0.8810156718480843,0.8699522441388162,0.7933619806315542,0.8545829365424615,0.9515757243680605,1.0032306788075704,0.9527710296532864,1.030941079490968,1.188457276114934,1.1386432213420914,0.9770713715205004,0.8895509593749886,0.9204013346775929,1.1566773722287105,0.9386163751910096,0.9379543513496413,0.8531512924595214,0.7389567222327738,0.758586120807783,0.731936000004712,0.6783099697982983,0.7031705552413572,0.739082827036326,0.8862382576942605,1.5537460414958173,0.7242974507376092,0.8126857368371777,1.012341144732738,0.8434872076179869,0.7029118983667015,0.9825002558241723,2.019649035845915,4.160970342811937,6.34657141253004,7.264316021100644],[0.865404443921906,0.7052854589342465,0.711924239392203,0.618063489044437,0.6464342172158594,0.6557116766831488,0.6436543812951596,0.7564939935514852,0.6820252950130629,0.6893953253354432,0.7543176974208521,0.8557303073555926,0.8118273167464917,0.7508730242048645,0.996555473669028,0.9256423364834125,0.8661858050676517,0.9622733153348515,0.9456205789122566,0.9709045067084644,1.0320859428573326,1.024691255801118,1.1860809229008864,1.1983979235268838,0.9380870426832959,0.9146518806424715,0.8941970669746128,0.8435703021579755,0.9496604135487667,0.9673354030232173,1.0457146705750724,1.0037716901705127,1.1892924009710781,1.1543669211770047,1.074252338766163,1.0262199401636891,1.028767875155866,1.0174569525036907,0.933936544066265,0.9636293421499285,1.012230439340237,1.00924450835847,1.0107934805436698,1.0515359114790654,1.0846605578836792,1.2163977234569974,1.176527911915582,1.059017918109219,1.078855877158812,1.130535442858036,1.2033074085150228,1.1516532801226769,1.0901350150843714,1.0432276717906523,1.6222096444936704,1.1962702540924024,1.0865358307951518,1.1529260231752296,1.322066009207401,1.3115227925054662,1.1047533028404972,1.2309866111554626,1.2348053445565546,1.458857536612163,1.1504235198186787,1.094480066650129,1.3109246584060075,1.1414598663018678,1.0691833113477867,1.033462117609109,1.2465120918231278,1.8636112966310965,1.308824410766833,1.4274120395117216,1.0972582716811772,1.4844701337910293,1.137400121010921,1.2030111274690134,1.1517995476451557,1.1659601751831299,1.142241346242488,1.0772233764126717,1.38236127710773,1.112773638865902,1.0145756591484199,1.0034756406729055,1.0448457788074499,1.17343422561795,1.0804482426181572,1.1890688357242467,1.1446433862900323,1.1670020565920605,1.1677689317104312,1.142594230174255,1.0761183791493751,1.1319224792628932,1.1205212913347586,1.0743389436855506,1.0223060587045965,1.2088871535330337,1.0834069439174092,1.0315211416593415,1.0341221965604286,0.9933445162474741,0.9784516699807417,0.8796037834883634,1.0456545230959342,0.8590688644862209,0.8564261176928916,0.9558942093799699,0.7788305989225696,0.7270209412619777,0.6972860753564221,0.7512080721020317,0.8863340447573211,0.7705373141664089,0.7907621555733958,0.747769675993311,0.9523656355033924,0.9343392965157996,0.8467597716053913,0.7602832816039223,0.6715752671031197,0.6475600299716341,0.6558772353831362,0.7030347638431974,0.6727570158414158,0.7196018091636309,0.7120337822124538,0.7611303684778324,0.7190918747580717,0.7653645190546743,0.7375768306559554,0.9354342665980231,0.7784795857119309,0.7757050453873466,0.889188039263862,0.9529940663988261,1.0386191757728278,0.7466870780189744,0.8733933905886812,0.8087835583187871,0.7880833166594277,0.7811127399089276,0.8128211825055842,0.8889585793126985,0.7621940761947839,0.8341387276716365,0.7733963223842256,0.7294390777236694,0.8562607668862041,0.8932997517966716,1.3779283853791544,1.9405419661747714,1.1885574495688134,1.0983224064185637,0.9366861509742351,0.9362892602076422,0.8977790118191565,0.8837058129741752,0.8098790161479551,0.874492443761414,0.7902014978309692,0.8391362073590978,1.019107015970377,0.8208665278603668,0.8781145265365414,1.061771628949622,1.0860632396167513,1.118245511773268,0.922802908040492,0.814530128036799,0.8596514051300908,0.8035693060565895,0.8652814920163787,0.9446584825373394,0.9590627078972972,1.2269815281436869,0.9690918551422735,1.0673711837890687,0.8826904127102625,0.8573491889621605,0.8524724562854771,0.8457603735785499,0.822912800895673,0.89437105730545,0.9110901286974267,1.075778598297136,1.371635194952866,1.0615170139095391,1.0604752970218014,0.966063136876192,0.903274239828093,0.841346922561485,0.7672472454001431,0.8043445934690363,0.9583611448619885,0.7913128884608778,0.7459992304634498,0.7477873039747059,0.8197813922696077,0.8512268814360203,0.7753029258551778,0.7710074729618956,0.8416726734691232,0.8000650782752081,0.7388208188822966,0.7946257265373412,0.9076072500046903,0.8035754600606362,0.8505249251195791,0.9240022962030416,0.927194657567963,1.0364247331799206,1.0332928161123822,0.9413143435024736,1.0553550580627427,0.9137800998307842,0.8854745849709857,1.0226368256139933,1.0470083723767147,2.375049985328772,1.2390508827762923,1.7534419871544487,1.1011750898810826,1.1512256639397647,1.0795775452528336,1.169511037520358,0.9986177875700749,0.9232524636672836,1.0060465974855928,0.9837724114140961,0.9357409867091997,0.8659743558508926,1.1509080800979148,0.8352829947522683,0.7965706280798818,0.9684071051603833,0.797533694250998,0.9322077835853615,0.9427520061749238,1.064882416538338,1.1598447708728694,1.3241482321946212,1.2385638183299197,1.2040194147037644,1.1324486162414384,1.2994679249308059,1.1034057189790836,1.0432250427134726,1.2632421409982726,1.242467397390286,1.0005808603876862,1.1613899457777976,1.3138725195423422,1.1320291283471284,1.061895775722343,1.1680917521376473,1.0635951824749916,1.077976312196793,1.0563064730773477,1.0725518847655209,1.035628768237649,0.9125837067927929,0.9433088930679505,0.9290472225019223,0.8936225549087868,0.8287362565109364,0.8678015239010617,0.9013535712670117,0.8447712709968086,0.7954151047045047,0.8670070421810552,0.9145819886480483,0.9303306364773138,0.8917662159933786,0.9482736776698197,1.0569749128558557,1.1439437477653052,0.8893685776466419,0.8115989082797623,0.8097883730077315,0.9975697903979502,0.8309775165265718,0.8319953206093658,0.7905945581659206,0.7451601673428278,0.7763840203869989,0.7509928205933974,0.6983572767172695,0.7266633360271537,0.7818835532032952,0.9245351859228068,1.6558053144362084,0.7558852418167644,0.7992533238091942,0.9480526240402812,0.8330945517861494,0.6899290995603858,1.0477061304035507,1.8489402972019902,3.827008575258004,5.88872618563642,6.710950002079568],[0.775319068957154,0.5471637463033602,0.5281524505140864,0.4692477091221679,0.5175123942306221,0.539630054210062,0.46762654265831216,0.5264471136361082,0.4666137978318327,0.48039721953804376,0.5254426327562888,0.5974629408953857,0.5671600196669401,0.5168301017643002,0.7120223000715225,0.6582969838370983,0.6298367950495758,0.6985790635110228,0.7251922568753654,0.7259817245776267,0.7848781268423246,0.7694185904039399,0.9338585824078198,1.0154372191170524,0.7184897588138597,0.701849290223236,0.6681119014677057,0.5959801605357236,0.6633607654424963,0.6690651388361364,0.7681931131028694,0.7110213554239425,0.9090025310134308,0.8449168722518262,0.7715244986712735,0.7288594967953771,0.699431068348907,0.7053952732373715,0.6614083135322084,0.6603708758346988,0.758994334386738,0.7263828431818344,0.716248444699247,0.7787547981156274,0.8935863930386727,1.0811095285976327,0.9979596099340836,0.832253236611577,0.7885242537771037,0.8320624114824818,0.8828168596276201,0.9483872360647079,0.762285942483264,0.747371585988234,1.4224690789990775,0.8543344188787754,0.753595142896514,0.8487250349399789,1.0404745220455383,1.1573345361739285,0.8293815782717262,0.9199445783033111,0.8830503872385036,1.1745176141955078,0.8591980543636948,0.7979417253328436,1.0507772583973782,0.8703282121545644,0.9256166706958239,0.8323644837543568,1.150352962679911,1.7295958564755272,1.1321680741423268,1.269816295594188,0.8058018867252178,1.3812605585925717,0.8016981250992806,0.856198310657149,0.8075424728133949,0.8049629659142513,0.7676522735700179,0.7629251044554941,1.2545888698218721,0.8164755996206241,0.7491387669794588,0.6885568565196715,0.7008276588191769,0.8030998773582962,0.7546725494909292,0.8473272961330669,0.7975930505785689,0.867623370232029,0.8230327183940169,0.8213419629072861,0.7665568417015672,0.8074995894136581,0.8760819381455975,0.7611390355660039,0.7031322701776939,0.9208872415677016,0.7495204184948233,0.7637934586382358,0.7047661952596833,0.7148958634884647,0.6851298583680114,0.6484683181453618,0.8505883009941827,0.6011405537009201,0.5953399220194009,0.8633983513556849,0.5592201671747704,0.49205459652571126,0.47412567650422077,0.555543841296993,0.6635614275289233,0.5434682736947973,0.5700459297272472,0.5480567671338286,0.7846277990071138,0.7276415146876504,0.6521924851514236,0.5692386209865419,0.5066211786723649,0.5060121911205285,0.49773038295277805,0.5287208739397488,0.4908555737906785,0.530367190890316,0.5163569830993289,0.5525636852331147,0.5335458736727096,0.5860576409089414,0.523280754669176,0.7251539065532866,0.5673782099452054,0.5480315380130157,0.6675828701399328,0.7245888079094185,0.8534616613585486,0.5333002548012425,0.754011564652199,0.6651806254487194,0.6176515771375628,0.5687690364693748,0.5568910842152138,0.6117091675864922,0.5498395522617527,0.6113460243408044,0.5098344465224892,0.5009907265344697,0.5964101444202325,0.6795516773777727,1.0851040227209643,1.8959498230729592,1.044749458305518,0.7928824144594674,0.6539141476214643,0.6562851942011765,0.618176218253067,0.6157978572800554,0.5391401027477891,0.6128606521194566,0.5691501848935928,0.588714567114622,0.7597737758754666,0.6213906864662637,0.6438138287436331,0.8626698086746275,0.851261744768161,0.8813617721914754,0.65105859282322,0.5658762605736066,0.594609539017928,0.5648929874821352,0.581235564605194,0.6414202359828699,0.6613551817839437,1.02222217726105,0.6689301574802546,0.8259532470966453,0.6638606276670234,0.5809855504615205,0.5670775007479085,0.5556169929832186,0.5775004204811528,0.6646663416338896,0.6382329331419023,0.816429354059394,1.2202221061482104,0.850428031254641,0.8868121147201254,0.7987129399294637,0.6930218220194677,0.6293133982883097,0.5628765703638587,0.6163488251177797,0.7389256656364518,0.5578966803000606,0.5558346994315845,0.5672980732785269,0.5773626193650866,0.6093611388481894,0.5522831444245552,0.5708340268004864,0.6354592095196774,0.6204905242509348,0.6358544905929179,0.6538017190726622,0.6950678393665766,0.6857076599583037,0.7543878614622096,0.7603077697427858,0.7758142064204318,0.9274289727617763,0.9106383654544453,0.8894754085752854,0.9540071091544301,0.87332083030483,0.7728338879818328,0.8507150702956363,0.8767159330135887,2.247251564170623,1.0673429196736348,1.5940216995530425,0.853425580226195,0.8640601303856278,0.8221809020078014,0.9214677249162279,0.7199526488844907,0.6722879936929729,0.8096482194628922,0.7270005553564529,0.7239039928004558,0.6394877402090399,0.9344686429803036,0.6482580659852056,0.66241586712639,0.8420057845022351,0.6003157641369945,0.7261362923984502,0.7547483785630764,0.8565324972917548,0.9278241117302629,1.1160876483123472,1.0229884915319793,0.9732130589739207,0.8582770026516547,1.0231306960113922,0.850556734390565,0.7844291889064591,0.9934267725789436,0.9990861302252194,0.7677450822638845,0.8837594969869639,1.0341252824049003,0.9136028523838767,0.8420126848740213,0.9215951859541661,0.8215419483692712,0.8088811057430747,0.7676792872962811,0.78441915782562,0.7732681181787936,0.6987233133324298,0.7243787948730629,0.7144045970485023,0.7256353574140837,0.6552378803772051,0.6742887599516941,0.7686931667008872,0.7536208619187649,0.6676953185529587,0.7387656260395026,0.8996501655728518,0.918849149298907,0.8657946158629268,0.9953095407486595,1.0562091764939283,1.1860099016776346,0.918338416200076,0.8071135515447959,0.7891880915994814,1.0608750305588377,0.8420736411196846,0.8496235844739417,0.7160347157917153,0.6071258233143425,0.615427974392972,0.5777828542640152,0.5571726697551032,0.506586010728718,0.5788803118768387,0.774139681339789,1.532716931834867,0.5711386523932025,0.6931265188521697,0.874025909481337,0.7358000106358519,0.613624246918039,0.898213495835408,1.6630010764833758,3.7312328166755124,5.66499087720182,6.23500925687792],[0.9572177468283302,0.7615566657272071,0.7792739525525719,0.73685040496695,0.8476776499805446,0.8404587942613176,0.8786710656100148,1.031102703564264,0.9537370905741542,0.9920832570606953,1.0759486641037959,1.2062483073155736,1.1690779677790277,1.048030039188478,1.274167308101743,1.3155448303466164,1.1936078742499308,1.2721786850934633,1.265291659005689,1.3359746528553724,1.3683988136601977,1.3826910380022814,1.4249043101026533,1.448347015742944,1.2701161605394344,1.2341233979280752,1.2502805098412826,1.1529725747038968,1.2442421619752888,1.2949511461045382,1.4248109256589698,1.428654521744698,1.5888491942415683,1.5811397414763333,1.4991235374004666,1.3996461185703406,1.3816904134692545,1.3224048842770058,1.2570837451249721,1.2964453086534689,1.2233557994825477,1.2790621831410753,1.3162711036770527,1.324304065515121,1.3481291224267218,1.3976174323365325,1.3217574641691685,1.4017832553740626,1.2160317345127654,1.234163324594409,1.3111146518185384,1.5360728373229018,1.3677246377562136,1.3835009761296613,1.737227232028393,1.4481022548385651,1.3588316529077207,1.4348655678699938,1.6063477965724275,1.7239470345127086,1.467226356225527,1.4943633184539131,1.4979815153634293,1.7514143299414457,1.4942650019797186,1.4461213268374788,1.5937454590589897,1.4916253061859117,1.460230658699548,1.3885426944280421,1.5704858795392596,2.070709544736895,1.6574538526212899,1.7725157731239167,1.4391569476805448,1.8542363744349066,1.4718337605250946,1.5781407235561125,1.5284997518067691,1.481989213303351,1.4661450560720806,1.4046692569939427,1.7931739728502216,1.4206941388109153,1.3193627812852782,1.3255990320479754,1.3637078785620942,1.4998323696318454,1.4445295791403547,1.558817008099371,1.5069842621471001,1.5519084536631087,1.5416944694849852,1.563055328778735,1.4559439174123199,1.4905601292283879,1.4547868238093407,1.4701292725907371,1.3642903368797485,1.4801993823396316,1.4182147348197849,1.3566578455673535,1.3586191012824207,1.3436786157358007,1.2946864718394935,1.2075126164972594,1.3395065632849381,1.1280186239189514,1.0724052219920606,1.3035997507153654,1.0357783005040682,1.0167651737360348,0.9930628956370815,1.0127693255931738,1.058439519551466,0.9578924000183656,1.0376880984482975,0.9972393412920236,1.2321789798289344,1.2077875585918691,1.0967740937424675,0.9998754576292469,0.8893819603521563,0.9266687429233833,0.890759440541443,0.9213113480003824,0.9340393263035843,0.9831323223005838,0.9896272988574422,1.077811409379627,1.01008036499426,1.0806114431689773,1.0405896097512828,1.265052113844937,1.0443773741476947,0.9955940390907031,0.9620469604181651,0.9861996590960944,1.0407387668956638,0.9595944424516615,1.0699884113945028,1.0979566106068566,1.1158321533454512,1.0845033087986842,1.1126021641118393,1.1457065550971062,1.1006202375970933,1.1705646336663889,1.113483644862988,1.0519250314929975,1.118203266084907,1.1846197193794048,1.516869728109769,2.1025455247651808,1.5071904908045757,1.3673282597854872,1.2585687546081785,1.2573101670758073,1.2589335891688083,1.176645346231623,1.101887853071015,1.1955783217479026,1.1045631474620419,1.1650074396539452,1.1629049032912882,1.1009506679847008,1.0505078480951888,1.1515875879214925,1.0873502636988701,1.11667325309778,1.007122889985614,0.9925589013728677,1.067636899590065,1.1549845199156148,1.1972780076967708,1.2470436154944642,1.2887946834378763,1.6059465852444719,1.286275648280456,1.4404996632331861,1.285630142798505,1.1762884610300275,1.169825445865474,1.1575464872229797,1.1507781128159655,1.2191655767210392,1.1994971347807577,1.1960302855905258,1.5114876171089628,1.253666388314719,1.3110770417300752,1.298080854352201,1.179805696029389,1.0884486380877967,1.0684968872069254,1.0590175688177568,1.0925478476869939,1.021517369362441,0.9682254632688628,1.0154812129684185,0.998031498863819,1.0325907620012837,0.9863166423785611,0.9273134844574774,1.0063642843357914,0.9787241364186021,0.8920574092129323,0.9314407255625172,1.025819715095876,0.9348119274279713,0.9516104763816234,0.9771627861560769,0.9831524696318308,1.0088065069673573,1.0576941996564886,1.0502068572002732,1.1295140811304916,1.0237446404639874,0.9783959830739802,1.0886895212684402,1.1315228603251881,2.2440516771840104,1.301374159859807,1.8696696747075154,1.2091242136684173,1.2476073659124547,1.2329354088678506,1.2791693905644885,1.1025400868665547,1.0247424687221143,1.07101060639304,1.0576169291724196,1.0510430547957512,0.979399514149631,1.1756508836269244,1.003925662164738,0.985105786281232,1.1737229267544973,0.9734395584187725,1.1596242471093496,1.168567853812362,1.215782188236667,1.2875734022690515,1.446818247909616,1.3756702350161196,1.3264870603804466,1.2458831508862198,1.3797885720561114,1.243271285525292,1.194055186319612,1.3368292959456152,1.335102720927484,1.118289252130019,1.2110774996821145,1.3196253298409886,1.1738200829350047,1.0966113807802156,1.1980764854237356,1.1079753137529145,1.1540729369192735,1.147870514487896,1.1632641481217576,1.0963486308770385,1.0148184727369591,1.0805675971695514,1.0488537008660141,1.0232297988408285,0.9690350522899458,1.0063181502327914,1.061163952837235,0.9995695784381801,0.9590386792322755,1.0133302883329187,1.1452243764597905,1.117934948640675,1.0072374588790634,1.1124046142962847,1.0875592568125592,1.302730789361103,0.9833319027195074,0.9313404128670365,0.8974985061572403,1.0696242021664515,0.9405112616215252,0.9526383307313849,0.8804045897357521,0.889791938714064,0.9226200762881737,0.9630703068466916,0.970451076481036,0.8845293930991259,1.0342082091685227,1.136358013082347,1.6410589369531314,0.9992883984402667,0.9999002970134826,1.114294645316595,1.112793165195424,0.8563442861274689,1.0631992956403042,1.6834612594416838,3.646792993101011,5.487680112323988,6.067462300287046],[0.708842069440641,0.48778848113859646,0.46951865260454634,0.37423603953447465,0.3498542439166886,0.402612707881638,0.328974642172399,0.46582446130567945,0.3551965935141803,0.36353424952495583,0.4305284035110221,0.5182810488714189,0.4526378314440976,0.42648211640635386,0.6253281704118419,0.5951013710403061,0.5566277202521737,0.6106967415104974,0.6552659482081646,0.6410803338117524,0.6975029761417255,0.6952061298602865,0.8559005140020236,0.9951860108662184,0.6700027428271071,0.6770372967619659,0.5721643608167164,0.5101714940533306,0.5734187554869861,0.5928170031893464,0.7159872816115948,0.6477115410282919,0.8767574052384345,0.8099140404546655,0.7132659821143542,0.6509212892465971,0.6193024454875066,0.6131844748100717,0.585726284207379,0.5697093850214987,0.787994154253035,0.6611830691007586,0.6465395244337022,0.6834103723024261,0.8873124964052663,1.1461597413971465,1.0637158364187123,0.7414736119305657,0.7729376755811211,0.8587725505750721,0.883784721603366,0.863843229540218,0.6858268289400749,0.6541045670607223,1.4260174813053226,0.8020186469856163,0.678339087474945,0.8108384314774911,0.9960933743456624,1.100639142284938,0.7566544584759323,0.8642612623644143,0.8287538408741023,1.1291823089693789,0.8019038583406066,0.7260815081717616,0.9377890152261967,0.7983621909116465,0.8746298792892669,0.7559649436371393,1.1243382101237553,1.6697590038760928,1.0765824956840577,1.2693002624830827,0.7707963956912665,1.4220174728774442,0.75687773009896,0.8324591629317529,0.76540480301524,0.7606192701244066,0.7063612336304509,0.7164649040973213,1.208721278848389,0.7282457422926434,0.6965186931351589,0.607212167355199,0.6195011078114483,0.7427278042417753,0.6785965700824484,0.8060812204124747,0.7476760291721694,0.8716577110391468,0.8018980863029349,0.796105075704116,0.7146051036042578,0.7716166684981441,0.8109712092896505,0.7149639848809703,0.6523822191898805,0.9080619366787792,0.7038238381839022,0.7431356312280137,0.6413765321221014,0.6314998674305359,0.5884006729082683,0.5394284468290629,0.8065873835515496,0.5159761567798263,0.522819480590175,0.7985037054363385,0.45209464854254794,0.3868819589876385,0.3744272138777011,0.46337891526703806,0.5925797067266978,0.47732373265949485,0.4934131393956553,0.48538117866999453,0.6929017429229146,0.632622055477053,0.5609260245492732,0.5011376902033722,0.4672411341143221,0.4079418524265381,0.39564742794838637,0.4299811033920916,0.3452774586197051,0.4130408563873911,0.379839612696425,0.4264197776165421,0.4034432816892142,0.46989990288814176,0.40678088852837596,0.6118091391040822,0.47675123544346476,0.46826946412601,0.6082880066729428,0.6558436198006224,0.7485254671791001,0.4844841434267045,0.8019853377102943,0.7013000591043668,0.52454418587641,0.48885706913866606,0.47206517127494946,0.54642467564848,0.4721946703243987,0.5019651346987603,0.40546379376272057,0.4102651109250797,0.5609332556139258,0.6550458766920471,1.1377141672468472,1.9147873777149595,1.0608080553020358,0.7862415181549794,0.5998875372096018,0.6051645065828104,0.5142440782788691,0.5242406854346737,0.43533164814026654,0.5032963792624613,0.4384234379639836,0.4834185759708978,0.6605550706667417,0.553225332908874,0.6038322111741069,0.9362321561472027,0.9357801970102161,0.9412773309786665,0.6598245229625864,0.5211175424108654,0.5186395267904217,0.4261318092553158,0.46853966171773204,0.5520184059811134,0.5921100948508647,0.9562581106746841,0.590691520472187,0.7136477232319471,0.5392486400901552,0.4478560063509449,0.42802382579133713,0.41706379763714213,0.45898874284138386,0.5689781846665879,0.5826653918925371,0.8012971171566211,1.2809303976953246,0.8634738338792218,0.8864818185107052,0.7622387612397766,0.6675162144603158,0.5940037808725439,0.4709477516808801,0.507314476285236,0.6547979445948876,0.45690628281578555,0.462637691696597,0.4819366095206736,0.5368935710878101,0.5818279743336942,0.48520729590067635,0.5096011658413301,0.5991229353541817,0.5664789188347764,0.5616438105427034,0.6134667276020872,0.7253417560799451,0.6328391247966214,0.7097306769929771,0.7768142407587096,0.7725651741686761,0.8408439537205664,0.9226118931678512,0.8716652062652616,0.95987397351822,0.8712136599886692,0.7810329855644285,0.9076947298131037,0.9312415099277506,2.1110924034160456,1.130187412548617,1.6752937009837991,0.8911189960582335,0.8978474183690504,0.8340854647505798,0.8766987467611588,0.747429942040462,0.6660007507102319,0.7547674687407185,0.6752679753697541,0.698215630900153,0.5914094498532435,0.8950875595439376,0.6237620453242873,0.6000166933840161,0.8013784897387098,0.5496140286419576,0.6764606154895282,0.6723209428737115,0.7952963318612275,0.8752247736880888,1.1338272471228394,1.0040079789239325,0.911196241322861,0.8899322469568501,1.0479675302236624,0.8674796738545796,0.8303766746737193,1.0717828901579325,1.095257762119604,0.8254834525939625,0.9759128862340523,1.14742603944654,0.9885630785028476,0.8978913495994582,0.9975141136852084,0.889474274701855,0.8848232531836062,0.8185032712840135,0.8308476839534269,0.8409952460226229,0.7259959515507571,0.7389895523614789,0.7556541350778115,0.7574145152214894,0.6425761433469228,0.6814661058010756,0.8056930672232634,0.703991218201927,0.6045900512738983,0.7351925899954751,0.8813320607346883,0.8586359689139998,0.7964714995323289,0.937641513027445,0.9702852487285599,1.2346979287661466,0.846781858379304,0.724248271297328,0.6783059627856629,0.9269562904798594,0.767213960299673,0.8002767835483667,0.6581858604734488,0.5583695737308957,0.5278084064388727,0.46894530133443263,0.41706098395048896,0.43472923453186274,0.49275814675372803,0.7277438326414429,1.576562094291028,0.4704822556487455,0.6039296205131358,0.761509544111585,0.6712843589642766,0.5054871488361838,0.8590383914768959,1.3087282169687768,3.1428585608915256,4.801270837293188,5.097963999447476],[0.6653175092461714,0.42288913615052237,0.4394598515659217,0.35352314583924804,0.3528202657475322,0.377480190731004,0.3049264143280223,0.39735192708483785,0.3131567713484451,0.3292098743281165,0.39144617866405557,0.4729984694578428,0.41804514762031647,0.42032559997583874,0.5993160453573848,0.5920293570385234,0.568149393681807,0.624588621235953,0.7101723508537473,0.6719283578490517,0.7521473892944628,0.7494141253826515,0.9168546051530999,1.093205078762665,0.7305658353864734,0.7328539472298109,0.6159234157264519,0.5414170139325493,0.5752366475521302,0.581348324013699,0.7174027415030445,0.6384203792395258,0.8836104999439689,0.8141566372680166,0.7096852196638684,0.6520598926865723,0.6098360297432783,0.6145446661752991,0.5936906513272309,0.5660271977115171,0.7911783954583527,0.6874889995331896,0.6783206791487674,0.7023003146335423,0.9317068947837251,1.1662859794034945,1.1405663744474905,0.7732498827331216,0.7756920816616987,0.8992819070231766,0.9233875532619396,0.9099241111587433,0.7093537417885093,0.6902907839387848,1.4064792877570385,0.8133503322963684,0.7034422314386206,0.8399641350766786,1.0021911486513653,1.1234521766041643,0.8045366455127324,0.9067757601684291,0.8677873467347279,1.2000920160305886,0.8660289856288567,0.7728093487451779,0.9886922727657079,0.8316985931351776,0.9331941418036378,0.7856249430855856,1.1116125350632178,1.599153633342096,1.041445872761305,1.2921673798943625,0.8053020705433895,1.4833860265590568,0.8007371922877489,0.860087833624226,0.7834153738828472,0.7678636474807898,0.7130848070767085,0.721386602324536,1.2393679854477242,0.7445510910879528,0.6911202332666836,0.5930343301626054,0.6301495419990769,0.745287275336405,0.6869446615785926,0.8088745009660195,0.7763393284982807,0.8874691912121873,0.8278447989051969,0.8202156770261968,0.7088960498108694,0.775537056010261,0.7952537931962728,0.6889290208058705,0.6009296097701234,0.8788348494574154,0.6502209068257656,0.6765965425291806,0.5937855155163092,0.5816269487532078,0.547543182300972,0.5150405855769645,0.7732594345985003,0.44616693371680705,0.43753397057996896,0.7552211213308363,0.3682730268689469,0.33543127097350756,0.33498699337303073,0.43135337939746593,0.5740782701284357,0.4995739857107448,0.5335150146226374,0.5379161179227265,0.7488342004196007,0.6852752287347129,0.6237657951703298,0.5546823099718987,0.5263679481137488,0.4356634512565216,0.3662644101823549,0.40624406374041794,0.3329808414373567,0.3653821053444096,0.31098126269751314,0.3854124547883269,0.3760905712937645,0.4560975769516483,0.36500950680017347,0.5556244717173069,0.41596941184240666,0.41432382149707236,0.5870701876351987,0.5722298532068252,0.7074393956117078,0.5090835658395118,0.8413023713989749,0.7751294081949759,0.5813673201323271,0.5286510577949409,0.5027707450715325,0.5533088242655668,0.49418032752334,0.46898914442942247,0.37063933277350486,0.3640663363667515,0.49311577487922853,0.5932938490256885,1.0507213764228671,1.8896216439795162,1.0562864370889962,0.7194637087956653,0.5456298325148267,0.5412348333883547,0.494564201514405,0.46452560641868,0.40656950111859697,0.4835295161365299,0.4443707820469919,0.4863262542480892,0.6476494653937669,0.5828348905127588,0.5577085182086041,0.9502112348989425,0.8988545715315385,0.8897971685962692,0.5780522153053178,0.4767635097521626,0.4761209793786286,0.4021897706324626,0.4313455664608191,0.4974927962475753,0.5394999083702416,0.9050559927475966,0.5408449926847221,0.6894717776131118,0.5239723813914369,0.41174474540253586,0.40422110210788403,0.39769263001036,0.439281650685739,0.5399823323188632,0.5753289397887774,0.8202357296834402,1.3182729927920707,0.8209570722369288,0.8848960620575639,0.8291743520043166,0.6577997511746381,0.5590651027748677,0.44839702018880223,0.47225314636651283,0.6573894416049845,0.3965713342006135,0.3998803117849924,0.46176449339619613,0.45120118404468934,0.5015424987647912,0.41738624836954014,0.4293616619506548,0.5140267272821802,0.48969543869261783,0.48732030777048735,0.5352809141239407,0.6507420073441949,0.5586244753169319,0.6373933456290886,0.7132990727012186,0.7090400178485562,0.7679505735207413,0.8687917522880754,0.8171110573753588,0.9038162452125154,0.8114209986563585,0.7090387850876018,0.8376873546018578,0.8564520559839555,2.049611579532049,1.0708577911301709,1.6306714381625118,0.8149218305350893,0.8134444339663991,0.7464268426622683,0.7933373819826822,0.6680279728993669,0.5704514273312306,0.666302375758399,0.593250827064058,0.6240017277326307,0.5144283879221975,0.8518544196081357,0.5787861490699034,0.587279834454319,0.7849362255847335,0.4860164800183119,0.6012779384946629,0.5902735034759474,0.7186284791841998,0.8075002258652012,1.0798054113576472,0.9528275024287889,0.8528453179740003,0.8192808032530788,0.9913457315632491,0.8110075837899824,0.7585367168304592,1.013684593054641,1.0458197381103667,0.7617336599170946,0.9138613795291035,1.0999065947684954,0.9431916613348755,0.8399390809780013,0.9402663241152469,0.8232317961320205,0.8113280190826342,0.740209563329707,0.7464037866582566,0.7719915076747694,0.6400060605908874,0.6426536714672306,0.6649720514198645,0.6725014623512227,0.5478568644189139,0.5838914208650384,0.7424051410453989,0.6343817537658277,0.5409067524794536,0.6358158293679266,0.8444500036466205,0.820610337356121,0.7391571634180518,0.9048457691798221,0.9337768941758098,1.1833930721419017,0.7910572565004953,0.6607654298357769,0.6044422454638649,0.8690673631135704,0.7174910430799579,0.7676372182967698,0.6601508916879109,0.546187117189245,0.5140447848186248,0.38975171454003454,0.4069792877965942,0.38644895156053777,0.4617729837044929,0.692881436962186,1.551953249977349,0.4191461514178572,0.5590682140161846,0.7169656564668642,0.6319766651150874,0.4916080910687872,0.8116398073767811,1.25041677651123,3.100995408414427,4.735125211393418,4.973513753315966],[0.6663635806203219,0.4275139687810711,0.4489995758596821,0.3531843950883652,0.33274842684868944,0.36453277822487895,0.2755796824401657,0.38537649617802205,0.2901294061544211,0.3111808418038703,0.3795964817585856,0.4587806510963358,0.3833994131696648,0.39282942537616766,0.5596816766160597,0.5404878318527541,0.5311789549616263,0.5744964172693798,0.6577304613677002,0.6181764039029002,0.684446508907605,0.6803859300628953,0.8602698970990985,1.0507046111527734,0.6910675044337806,0.6995276775827706,0.5652922575318354,0.4930740924721304,0.5276106827692245,0.5263781730588941,0.6624989842010355,0.5859405313157096,0.8005879692269624,0.7330290091205017,0.6308729845584848,0.5889192777648475,0.5540304864920026,0.5561672805961225,0.5461811841730265,0.5139054592272603,0.7826473060558509,0.6518285439648267,0.6356455826616645,0.6706828326969908,0.9305102529682384,1.1799493953767701,1.1457042962144004,0.753615125841322,0.7495266579485298,0.8918386861032216,0.8757349134154843,0.8556760086507458,0.6359083722829456,0.6162263930750186,1.38507347074974,0.7291003375612597,0.6407973767496555,0.7777241179408886,0.9262707181561626,1.0981824784572378,0.7319906025133783,0.8311638211639146,0.784231754771768,1.0923533941328387,0.7813916875258594,0.7034098772196137,0.8986736070195072,0.7547022462075184,0.8770361007996118,0.7262940288518293,1.0501702811975362,1.517857140270688,0.983492661891578,1.222741183926762,0.7411986314971947,1.4287146975470268,0.7239476087176365,0.7798209974720562,0.6989133068778033,0.6996096262148934,0.645788765125545,0.6614656272285051,1.176025218734631,0.6569712274892828,0.6684139447266175,0.5389667518139831,0.568876522953837,0.6730468338155412,0.6161847366569182,0.7337885344604768,0.7004046200209658,0.8399283476614658,0.7658435993628904,0.7483662249287489,0.6486448151208392,0.7234347967646058,0.7453125468161119,0.6433923969839305,0.5757460096021051,0.8593738745424784,0.6204875854364059,0.6693723036876537,0.5523719666095764,0.5437300341896667,0.5272692935480109,0.465852487797674,0.7559630444734453,0.4255039464950105,0.4476567702497648,0.7519138999006773,0.3720604250097049,0.3099233753827783,0.3140063961865219,0.4100264274067382,0.5558869356275457,0.47182442042066436,0.48582371299287247,0.5080019408272103,0.7216404267580516,0.631030675898705,0.5799615586275332,0.5174426228239679,0.5006988121290971,0.4056612426618352,0.3558320904479314,0.40737902891351346,0.3043679945774753,0.3530002444685082,0.3029584696240116,0.3513874670646019,0.35047404522608666,0.4272779516460153,0.3502366150353442,0.5220173999195451,0.4072628754892541,0.40994937386365976,0.587798949744468,0.5933146686051505,0.6815987451560018,0.5109627465658936,0.8482643673465914,0.7623991386714759,0.5437921986217759,0.5043422267091189,0.4630938703130539,0.5176985866613735,0.4489832347710458,0.4583132629410079,0.3506531525233129,0.35592795480700634,0.49187660580634895,0.6032460783382882,1.0751745541513964,1.8958413262761429,1.0749091894048188,0.7136661348907483,0.5338781871348379,0.5248286758416475,0.45455406115165703,0.4393608852075798,0.39631264205205136,0.4519594430769702,0.42597537979559696,0.4582544811116131,0.6048497338776564,0.5582754891505349,0.5813851004571053,0.9975265101619938,0.9619792195510972,0.9387444662023955,0.6193252599413117,0.4902239054847984,0.48204225531105555,0.37584423666287464,0.395506552534969,0.4690022968506497,0.5096219633265684,0.8649311498763561,0.5011513400918088,0.6139341613116357,0.5179873020266891,0.37127609691734637,0.36455808701408493,0.352603756290618,0.4023551685096522,0.5339874869187407,0.5742227539728917,0.8293078819903864,1.3620958891195227,0.9035372970221475,0.94123256200598,0.7802042693869532,0.6519943677558906,0.5734517526442712,0.44875675794525005,0.468177535904915,0.6377890510090116,0.3720775638709236,0.37861563594882214,0.4569569333273731,0.4510565621910177,0.5062456431569949,0.4170230182596899,0.44354672819215357,0.5376254810232738,0.5129895595625061,0.5013273808032102,0.5667602281984826,0.6877388657120737,0.5866543457623888,0.6653243338784225,0.7583711911728876,0.7513263152917545,0.7759675786976099,0.9062595873389486,0.8548927879032764,0.9429698479938864,0.8566826368973124,0.7447408815314723,0.8846583483151867,0.9111406905310931,2.0347475143021807,1.1283261976069014,1.6375059738545412,0.8412543488890936,0.832605209138425,0.7639705066538475,0.7619572390577793,0.7108063323987366,0.5821352110728456,0.6627629302416017,0.5740943150810869,0.631514700489334,0.5056730407215524,0.8189670936697072,0.6032964404869432,0.6090812923411123,0.7920947171514102,0.4805890828448626,0.5858382055761316,0.5627173130743401,0.6824230498290227,0.7617274924353785,1.0801284417109038,0.933581773438231,0.7950321754844267,0.822562894584033,0.9773636502320777,0.8175201141931051,0.7843170632953822,1.034890556119554,1.0832384767977814,0.804185462593264,0.9491179508766855,1.134105502275269,0.9956202797924334,0.8850453198096416,0.9860368504211325,0.8712042234333391,0.85102486345893,0.7684415775875262,0.7777430063421233,0.8154304627637232,0.6769706894125498,0.6643129766235157,0.7001372273278412,0.7080405738270181,0.5792308962411439,0.618217895224617,0.7856083095599572,0.6675104906126812,0.5643824992265845,0.6799635148613316,0.8828054814684384,0.8502441933711432,0.7692562938625679,0.9367459590521963,0.9402994069165145,1.2497096795689493,0.8240266699940878,0.6909745399238643,0.6242878869894718,0.8767224701516689,0.7429115900826465,0.8024716769551888,0.6780717350119105,0.5729204162317831,0.5184706930356441,0.3751922123716844,0.3857992669044925,0.3741487766739569,0.4531864505606817,0.691337286533046,1.5471420487966783,0.4295557373889919,0.5594630442019143,0.697398586965168,0.632501452333554,0.4856300277506003,0.8102535511077615,1.1164384869390283,2.808032962396627,4.254336828853921,4.326596222452886],[0.743233943067247,0.5177433584057191,0.5208653058054964,0.48217118766984,0.4510562334338651,0.46470296961520396,0.411575777247126,0.5095678083298302,0.43225970197446323,0.4176327239478605,0.47765284436168454,0.5764765404872163,0.49155954709909744,0.48094489328315304,0.6260925874880209,0.5952372488413892,0.5912206863497109,0.6114169819753944,0.6755572678052836,0.644969514057316,0.690854020947309,0.6911067568509942,0.850510861104924,1.0354103411205802,0.7018501644084147,0.7063487867722746,0.5896358870743307,0.5277803283252321,0.5748290977442141,0.590247958134311,0.6941704750584639,0.6537390942940596,0.850390824692357,0.7739201743735736,0.6816226384877955,0.6315460696684304,0.6149517956796193,0.5936137768365546,0.5792986765592466,0.5622722054060805,0.7798287644993305,0.6684195686088094,0.6571262133360518,0.6892437933351779,0.9178772205384449,1.183293419207866,1.1596326130781263,0.7710939451448808,0.7396369747769924,0.8758538378784624,0.8186923484082533,0.9436750728578047,0.6575185671748672,0.663528628430169,1.3428207858473347,0.7272743424333383,0.6634772772077816,0.7663175086743658,0.9196934570776748,1.1659011619835562,0.75087061106856,0.8358158812772558,0.7801593246283894,1.0740033373016733,0.7806389843589123,0.723164640103177,0.9150265972713928,0.760719103776938,0.8439915231538327,0.7267357552617374,1.0479166483260713,1.4983795159295825,0.9618363900216322,1.1803818603513954,0.7322054485698972,1.4205350094286304,0.7239928242936384,0.7980305007561407,0.7259863025114305,0.7172946375585605,0.6901385416478463,0.6706534117898341,1.2071297764659943,0.7164733557490301,0.6973209706753264,0.5920485381680742,0.6124021362081109,0.7134012549913347,0.6542791938650331,0.7650791886892289,0.724880985952592,0.8573924326070288,0.7872362005904826,0.7802467569923959,0.6967040079166499,0.7673330598854607,0.7930145152197271,0.7146006054332881,0.6748147284417709,0.9743604129962324,0.7256529200781513,0.79971573474484,0.6594550982710409,0.6879197903334179,0.6640628587347125,0.6018219626224405,0.8629456292660297,0.5788484157399542,0.6158322743126835,0.8722800326971677,0.5375463885752586,0.4531947057167598,0.4409275228446074,0.511732604837828,0.5979289756913356,0.5100068177849716,0.5162065352900623,0.5548428645005293,0.7529738748448467,0.6444601103579817,0.6200389636510212,0.5554649067987576,0.5190437962733857,0.46182163307651786,0.47455508914485256,0.48094005741342566,0.43637217758619645,0.47000548089972116,0.43159272204836613,0.4756885980636362,0.47079494859618237,0.5419071377504252,0.47246735015152536,0.651446195503005,0.514471803168869,0.511899654752622,0.7106591787097675,0.7115667296975839,0.7672337945944714,0.5248672193435829,0.8814386172531088,0.8181563125401138,0.5850439086212332,0.5510152626528136,0.5047153721457742,0.5638516802469951,0.4836294300909357,0.5320890271388119,0.45895829716927933,0.48536089838149904,0.6235562259061777,0.722793512032856,1.1730454370337529,1.916023496099482,1.1259393853945963,0.8304332935907167,0.6651653253158027,0.6597435120512259,0.5692412206134648,0.5775026513549764,0.4831120936153594,0.5322505604611518,0.5155821506365689,0.5125235429176639,0.6555062927359175,0.5767690816701364,0.6699030851336532,1.0428222705566423,1.0118970202781656,0.9828314383889013,0.6994233602974196,0.5551786271725238,0.5642274924714952,0.4854310775857336,0.4975582925180382,0.5774959643706925,0.6070412243931281,0.9273553755180243,0.5765139937447762,0.7143906955588271,0.6379005966196984,0.515499928839384,0.4979719127902252,0.4674937048740767,0.4991768990035664,0.5718252709092198,0.5864435907327126,0.8122848765705895,1.323001214644214,0.9339351916590877,0.9933652832357874,0.8030434290547295,0.7305858378218473,0.6721256321657259,0.5537886577956712,0.5602247607619877,0.7037839342563329,0.5206822837463013,0.5132911172869762,0.5567203491556839,0.5903599658921995,0.6456711217630213,0.5470419214924307,0.5754947622381617,0.6846642087417549,0.6561689952390247,0.6036462603956317,0.6967386061748408,0.8215966597695359,0.7057853581379812,0.7606668362718715,0.8550140986880628,0.8477177663754318,0.831148133757179,0.9759479892699846,0.9332771785109125,1.0225605557989992,0.9563624939978482,0.8453146580334948,0.9976340434250875,1.0437893020285038,2.0767189813721134,1.2723555149172563,1.723419750334459,0.9765437261124833,0.9875958983746057,0.9309599081637058,0.9222850197499634,0.8777190659747084,0.7320987867806975,0.7580166972342183,0.7107712532644145,0.7828908637668425,0.6365901979395621,0.862696481990779,0.7513200222348433,0.7362058152995237,0.861985341457118,0.5898446724504934,0.6692551757203303,0.6951079717127734,0.8278958031364008,0.8838944808917548,1.206325664353484,1.067456369216354,0.9274861173718547,0.9638994999358858,1.0873925556905963,0.9701360608219073,0.9347073322999697,1.157892958720326,1.2067992187654397,0.9445659549996782,1.0792379567426744,1.2482663270369216,1.1203747479000392,1.003413053858753,1.1141919972816878,0.9904387731075499,0.9890080556982308,0.8968669201989913,0.914797836712801,0.9531477051801265,0.8149720760472556,0.8076648628504339,0.8433943726612153,0.8389556690310096,0.7033324053519427,0.7627855028077096,0.8930377736551253,0.7809646611583683,0.7034878481428425,0.7967322592399659,0.9961564610878012,0.9620139501374184,0.8712221659359034,1.0168744265534588,0.9918338021864233,1.3548283953820908,0.8980683454241972,0.791257729866481,0.7029612433984002,0.9198311447367875,0.7934067116418775,0.8477924284880316,0.723771551480255,0.6291391451476579,0.5853020262680156,0.5083222547047869,0.4898477270756807,0.47865700372290665,0.605747780340673,0.8283677574914606,1.5054560806732054,0.5949981918344299,0.7024270319712098,0.8129497230373404,0.7836901543210999,0.5846201133301309,0.8812173893191447,1.0821709267410087,2.5061384624080696,3.7336034312625483,3.7553804366163193],[0.5978629064030682,0.41819309774445906,0.48173147731546273,0.3783536457886258,0.4057217549640065,0.39048488165401296,0.30907738877894825,0.39848231044657534,0.34381636193461196,0.3712559730603466,0.4375049888808546,0.4955251281593865,0.4313925452668872,0.46548329696789353,0.5741880943145916,0.5575098825687362,0.5879006146731282,0.6038386730611657,0.7036888438562117,0.6533809252734212,0.7334059306823218,0.7351621860144553,0.9163938937847006,1.1213275745318299,0.7766936852152874,0.7804525781931838,0.6374383413740634,0.5644915193140101,0.5663562228573691,0.5294472573691833,0.6670937610487432,0.5782674227161273,0.7702127311022676,0.7070940671005357,0.6100632836161869,0.5889110166798635,0.5378644874219691,0.5734519296830907,0.589220265175497,0.5604945598687471,0.8411741235434814,0.7102688746251593,0.6953080161531787,0.7360806329949708,1.0081946285339558,1.2623021678626,1.2648640520651797,0.8145431641790388,0.7713326069329357,0.9573275691564831,0.8676548141626654,0.9129739645553363,0.6668788871198782,0.6635171239425829,1.4019797413078885,0.7423880882299937,0.7057852808019296,0.8124638831440965,0.9145922107561236,1.2446279817233519,0.7653032895236399,0.8302567502700825,0.77201209397288,1.018934628404436,0.7918426966196942,0.7150820702422688,0.904824402335346,0.7442059583276628,0.8634469414483097,0.7323850927689741,1.0534223237917573,1.4003397141489302,0.9055171274417155,1.136465319469443,0.7221354121297102,1.447162582840222,0.7016747682747436,0.7435767320426502,0.6604531131261207,0.6900999273470639,0.6275894127990204,0.6469559306928186,1.1420866635370854,0.5673029373535042,0.7037911791381491,0.559709819148226,0.5853989866352436,0.6428134661066526,0.6084487258117811,0.7153623348015108,0.6814503642601902,0.8838156474520502,0.7711369250172208,0.7362282752796079,0.6578927598417578,0.7549867403875434,0.7346565549786426,0.6349204004605644,0.5759810159900405,0.8498348817380932,0.601801283082316,0.6779691098660754,0.5362199830777598,0.5128073281501798,0.5122591323334842,0.45183593424428964,0.7364414656937728,0.4263831731764196,0.4681554734019659,0.7596341050435137,0.39877429130696496,0.3556244472752556,0.34374557265237216,0.46368589257482923,0.6005444201049153,0.5403784726949096,0.5629633019836592,0.622037648625448,0.8058762918184667,0.6759473181694359,0.6668324882258041,0.6035560887747771,0.5647358620942464,0.4639369134915287,0.4465155152912471,0.47186578975735727,0.3551079665765693,0.39758604049664253,0.36341766979032747,0.4017574845989795,0.4088810898153289,0.46162384652798766,0.4114571413133853,0.5109191319693767,0.48069983854798604,0.48569203318912463,0.6435337946407323,0.6664129571896241,0.7162576555306583,0.592823528275159,0.9564584510480204,0.916434079815975,0.6321182252154011,0.572099976489327,0.5448042604021593,0.5836136667962756,0.4863759678537207,0.5011802983657127,0.3800383644090906,0.3974212163053323,0.49714697949307196,0.6104898624854517,1.074525321295025,1.8949744096073544,1.1241035346435329,0.7132636254310459,0.5292180885481961,0.516050372529128,0.44497190695426764,0.4436828792081157,0.4331543280453315,0.4893627040658745,0.5100766069375915,0.5046453822069018,0.6329151496850733,0.6007054989780092,0.7106410065250138,1.134866897245192,1.099366629261321,1.035465744035043,0.7339294873367698,0.5912362777859002,0.5864812795048467,0.42198348847801115,0.4176061608819216,0.45853266239661816,0.5029195787799335,0.7974413332539944,0.48128981809388366,0.5382154547219218,0.5714691072828152,0.3763683965034362,0.36927218948439444,0.3961737510983889,0.474878928768459,0.594309458736942,0.6482543873780974,0.8677327911212009,1.400890756555457,1.0257880937722343,1.0732558685279172,0.8124628720310962,0.7365001469932317,0.6643911847775472,0.5285864093176654,0.5383574374414878,0.6779312569394259,0.4254345105176497,0.42868226406908383,0.5343347651056232,0.4581821886881505,0.5090854125593076,0.4466828264075858,0.4620929245675702,0.5442741677082443,0.5245781540139002,0.5331362930599314,0.5812087241712257,0.6991313497861873,0.5984135973097223,0.6788277259403396,0.7815421841907452,0.7809508656058491,0.7596501196670556,0.9274734329913132,0.8899286113229996,0.9820766304045037,0.896648538367124,0.7731803290574594,0.9001871462156686,0.9204381731897926,1.8456310358520325,1.164886650453162,1.654085992143134,0.8509965964030224,0.8166993020164109,0.747356164067465,0.7081529062350942,0.7231696640934484,0.5786300069049133,0.6554452570978165,0.5811262616624214,0.6664187882219279,0.5570273770294583,0.8517284528820017,0.7027427873410553,0.6930054295247581,0.8335836856977226,0.5163080485640731,0.5782616261886419,0.5190714600433802,0.631749291730724,0.7143301735846838,1.0538787853485416,0.9022599422191527,0.7389519372781536,0.7712846371889621,0.9164217624537949,0.7886742086338763,0.768660340147104,1.0063569151977807,1.0842262835772798,0.8103269694807768,0.9432236986867168,1.122846185450811,1.0263929866528914,0.9036910416654832,0.9985611949325639,0.8789789371907533,0.8561969447971651,0.7566305729007625,0.769158849043349,0.8195106673300794,0.6900445767444175,0.6686832771357624,0.711415695872454,0.7256846497131297,0.6033877709517635,0.6401424975351845,0.8261498708287921,0.6907795740968747,0.6113616747262963,0.713660985558056,0.9599229838447745,0.9054429188173853,0.8218679338472774,1.0189108119315509,0.9920858130909512,1.3284855326429355,0.8509491009178277,0.736187326942448,0.6447379410569654,0.8731073886637437,0.7857697300450602,0.8590748086544007,0.7338833074872375,0.6308523587023489,0.5572054801677611,0.4277016794249875,0.4454369169461523,0.4379856097311684,0.4753544378954241,0.6885891380670046,1.5095364121987003,0.47570466265404276,0.5848684545500157,0.6591774764726784,0.637673424887412,0.49635992263053513,0.7674291320269164,1.0210601457105284,2.206048063289448,3.289163593889336,3.171125064514861],[0.5670244046887415,0.45942551863645037,0.5965785742512573,0.45912729525308016,0.48533795500689786,0.4714152780733378,0.41368367905461806,0.4431092899943168,0.43694981839854413,0.4455435648799506,0.5043962801872702,0.5343470695363999,0.489606824168755,0.5032706943441363,0.6028371404042877,0.5753793632250589,0.5837703366216128,0.5873691714632381,0.6572361954757305,0.6168647248625159,0.6828630490618014,0.6796982321718705,0.8395083165318393,1.0517758042383396,0.7611993381094398,0.759065533162597,0.6307627789062773,0.5584885765343295,0.548600558544901,0.5358440332217846,0.6618990134975348,0.5948680026503654,0.7555720252650554,0.7006201987033465,0.6067474926876291,0.5861727943402992,0.5373353469391292,0.5715885183290699,0.5661522331590775,0.5418601372442969,0.8898837289820677,0.7003085370887067,0.6578015242037963,0.6940985977315919,1.0457962176291766,1.333117024298799,1.336313849026825,0.8170811877853569,0.7452096183877142,0.9377186348537876,0.8192056799982914,0.8437551653126562,0.6118555446970199,0.6099095289419681,1.4001524835500834,0.6791472837099378,0.6507960055840599,0.7782823771187335,0.8676172524620989,1.1936078891953932,0.6850839133353269,0.7890806463678064,0.755290553300508,0.9642569270200152,0.7452763197558527,0.6712676235520029,0.83074004431168,0.694542809458172,0.8570030992137896,0.7160635466948848,1.0404280884410217,1.3878152604802607,0.8906897590762277,1.092506265166925,0.7177197412953484,1.4433652014409424,0.6768214717218226,0.7316821413812918,0.6584506753029576,0.6577839872722528,0.6072718787642544,0.6335159856537133,1.1736523046032346,0.5738518211577389,0.7004858785974981,0.5547454445069118,0.5775236271975481,0.6188864791282291,0.6008483625161997,0.6860304298557195,0.6714255576473879,0.8750082215943488,0.760775856690952,0.7317516211454147,0.666022563229717,0.7609772288590675,0.73360496619268,0.6309931168492433,0.5984444423357015,0.8644435537680526,0.6174048472068534,0.6673607893061226,0.5587190187031272,0.5472237654815555,0.5783777734199591,0.5255183412923572,0.8105059503854939,0.49261637416455856,0.5266126055144985,0.7804332618974594,0.4903999410783259,0.4317819619995957,0.4318658480357918,0.49383109663033103,0.5631507940206713,0.5707728616520952,0.5770373774734247,0.6249634642261455,0.7672107679775578,0.6818536916972389,0.6561699209390487,0.6116456986090234,0.6098129989366693,0.525398850615961,0.4839563238207461,0.5294602219516444,0.48748866964782905,0.4709351337216485,0.5090647441497345,0.5354778384788925,0.5499513165981909,0.6411915602142398,0.5215234438445835,0.6253230017259329,0.528823759919645,0.5244129808375714,0.6780158364913668,0.6281291955642826,0.6539302872479155,0.6521407244783509,0.9462859007531385,0.9052994189669062,0.6166412298767753,0.5886118190080128,0.5502186595988693,0.5711601753617701,0.5212314043417059,0.5241905440878328,0.4399053943811392,0.4574968819310518,0.548637643513821,0.6450033576232401,1.103063419575842,1.8542856510714618,1.1371464600510393,0.7366484232532312,0.5565801379623277,0.5582996729278897,0.5000682443668892,0.4963854309097964,0.4670162027486586,0.49694536669934636,0.5146646927447364,0.508764919864154,0.6197720297754278,0.6708186001957316,0.7338233039952187,1.1736221124101156,1.15548048982461,1.0688669933306616,0.7589758231854418,0.6042487692142275,0.5646367771266456,0.45842026171375005,0.45473445417047376,0.46984994683235737,0.5149105738776381,0.7967162959208778,0.47103425488300693,0.5529203273619592,0.669463309543905,0.45221874789985184,0.4643993629015316,0.5131253973855283,0.5366324321587055,0.6335559697903336,0.6691366636677186,0.8875667108655121,1.477418334509464,1.0438698074969077,1.069949223957357,0.8489784405029533,0.7775477551288263,0.7087608637804537,0.612614185678068,0.6693717523538332,0.7648038764034665,0.5571280604098207,0.5757703784595911,0.7023815754262586,0.5709951096776505,0.6062775774465212,0.5811516875370023,0.5794646849411929,0.6327810760429227,0.6138289322204921,0.622791394228243,0.6766484953609888,0.7622309011927558,0.6710993386167792,0.7549081690580917,0.84629797893008,0.830533647266808,0.8090979542555955,0.9817560675926948,0.9601716972346874,1.0604160807212508,0.9633846427429926,0.8536869121560486,0.965229614581917,0.9983109597315962,1.7824644263428762,1.2587885577546767,1.71049527648192,0.9078981292759104,0.8698964692523434,0.8162575218143501,0.7788479748899796,0.7940709540117673,0.6589406587666599,0.7527309853170152,0.6903776391830758,0.7622797019596117,0.6758460516740313,0.8968552207135473,0.8277541677603983,0.7888889146794744,0.8853696555228301,0.6357654376411954,0.6809563488946273,0.6257713213560553,0.712793711335756,0.7593572803787316,1.0762429278641634,0.933181300401811,0.7763148482023744,0.8173189778505797,0.974295692113626,0.8313307859235116,0.8135093552809456,1.0306334396603702,1.1200915193431618,0.8644960758329556,0.96781873689967,1.1205425967063498,1.0482271915231598,0.94498068337168,1.0315577383665278,0.9222477992151104,0.8983025364477948,0.7993105571122049,0.8169239312779653,0.880122952185336,0.7533699094694993,0.7344783318098376,0.7871263199890499,0.8042581330679008,0.6898990550413457,0.7273086987269478,0.9355792770400554,0.7793580231090559,0.7346923513152915,0.8206618193825926,1.0583776450410753,0.9744768885485167,0.9056876701635105,1.0940380591609353,1.060674589816537,1.425805231087186,0.9130435001304386,0.779725640620495,0.7105391197986507,0.9421387345784321,0.8901003265495838,0.9583383389861734,0.8253332580203968,0.7549763362458302,0.6649581714722279,0.5589040325013981,0.5810581087071409,0.5865075922220592,0.5976543722132236,0.7525050879349723,1.478982751435867,0.5816900004793545,0.6694361542201618,0.6755261250403686,0.6662266140935683,0.5940424128849857,0.8148615814902959,1.1461711986928749,1.746799883791148,2.6112531744766825,2.6949852807728907],[0.7568187293830091,0.6662402848789468,0.7236279985328915,0.6897638684140344,0.7350074479591144,0.7600655256012798,0.75575134168083,0.8053325381904276,0.8020604595310771,0.842670114864378,0.8339382068677708,0.8338481368470326,0.8495599370696354,0.8799352213391339,0.9205351826098306,0.8878951591370384,0.9450609793600468,0.9288850784996109,0.9694801819002097,0.9626205697139738,0.986259886745515,0.9823698318610818,1.0848818526278432,1.2442328957864415,1.048138212167551,1.0390183434259637,0.9577766720509513,0.9145414111270749,0.9159861703942379,0.8880343853289462,0.9628787254092184,0.9033743793746932,1.0033745489164132,0.9778659109133285,0.9211304267232229,0.9109960929859292,0.8867333102963189,0.9169376009585095,0.9274252227756375,0.9153012292389193,1.1631784017589473,1.0513415153769312,1.030421080355626,1.0578964323358258,1.3200730943014776,1.5345101767282268,1.5917169758671634,1.1412530984323908,1.0779178287329736,1.2317495402459264,1.1616967270807037,1.0955222008334993,0.9888464982831978,1.01392939267454,1.6459805260264981,1.0324277306172616,1.0151290867710576,1.1125417211844333,1.1416811139874417,1.3536713172697068,1.055523235903119,1.045511726885346,1.0129144776360852,1.1343151849329083,1.0158852847839108,0.9533276773467981,1.0480509383210088,0.9827741944511268,1.0739638684955057,0.9651752574519047,1.1849220741232303,1.3689886269872413,1.0784137191186258,1.268387470774729,0.9680201937604214,1.6365631955543574,0.9601575511977056,0.9854760247941244,0.949607900079662,0.9854680988442948,0.9388860143596233,0.9709160529027631,1.3450254624899096,0.8880148698861914,1.03148850124761,0.9019447474760686,0.9208292194736352,0.9149947601028715,0.9150431291832043,0.9465964116880026,0.963027628752843,1.1397223819202633,1.02248440498183,0.9830822270695619,0.9495132907509112,1.0133921058337862,1.0296498722617249,0.9371414227822509,0.8963037095937653,1.0640815094555345,0.9173103419755705,0.960127621377287,0.8948757205709885,0.8677137035093154,0.8923441702855117,0.8464253513687356,0.9994655945653695,0.768556647548991,0.7812731394273188,0.9959173820520834,0.7798168947719794,0.7881467886851239,0.7882944328663943,0.8298380247230972,0.9110488258781976,0.9045627093198758,0.894491976058246,0.9288655369723533,1.067048949112023,0.9999781744172648,0.9810988842379049,0.9370509277383365,0.8946426259599873,0.8438533448124546,0.827243825747113,0.8347928097331575,0.7767418097323353,0.7951137987410506,0.7722281043612793,0.818567065419999,0.8079250447778605,0.861166682696359,0.82736910043467,0.8546819772023087,0.8466507021152154,0.8519733383503443,0.9085285523584515,0.9186115365801049,0.9101588627229742,0.9437216214232492,1.2010806076370004,1.1841286354823581,0.9320206489485653,0.9146990185061789,0.8953825717090355,0.9237184985393307,0.8858586325951094,0.8633529610342138,0.8066924044332168,0.8367691605125442,0.8623249111183744,0.9447593086458509,1.261158498208878,1.9699788916684349,1.3496811295589561,1.0035606752445456,0.8952691541026316,0.8831305455374943,0.8454750956393992,0.8068981911964291,0.8407417432339955,0.8541180930058663,0.889639343426659,0.8866979837235139,0.9307886451837274,0.9548537773609606,1.0141652161529506,1.3350554790523474,1.3010880504092612,1.2181823180877154,1.011349281272462,0.9174488849163844,0.9132690199398296,0.8350905750600479,0.8258053503566726,0.8415879370079008,0.8732965769270958,1.0337184486188051,0.8322777949118877,0.9091833474582811,0.9643428760776099,0.8081700676087544,0.8226658974721517,0.827434293490786,0.8665212353103358,0.9765884165293806,1.0246439749474137,1.2169987986548836,1.6864598884610638,1.3543850582797512,1.363319830366771,1.110350331187037,1.0626929344262468,0.9923078330768195,0.8915405358606838,0.8932975893705333,0.9552701849921884,0.7744483120733603,0.7678773483689159,0.8920632112013763,0.7536076360007434,0.793246146874313,0.7768465755587174,0.7411602250701844,0.7623671188860027,0.7744126098761378,0.7776640540462622,0.7788131081653542,0.8442755131934478,0.7898402315173182,0.837076827271756,0.9090034609247875,0.9124210891323747,0.9011614292093894,1.049971224688504,1.0283186704341398,1.074149994254049,1.0052645358202512,0.9013833675221549,0.9875884927305565,0.9992083819801071,1.6616680251164828,1.2247250509307648,1.6960527653859632,0.9563651530683933,0.9049021079611385,0.8589911760889106,0.8260245187661291,0.842101227503704,0.7434945659559344,0.8315503886166496,0.7808430677756064,0.852471317311117,0.7981719662008896,1.092185080587818,0.9290546695402984,0.9243694590299519,1.0698223777280758,0.8118433777029102,0.842028928930663,0.7561840333266638,0.8017852444051132,0.8783551214683385,1.1581259474744507,1.0692536026290864,0.9113898171714406,0.888337189404523,0.9998671265513287,0.9365187147098524,0.8950608868583543,1.0553168261975874,1.1547635194043826,0.9341008762670923,0.9893111642173723,1.1383396229983507,1.107146376392555,0.9726261907180798,1.0285506770953843,0.9354019915999362,0.9047836294312953,0.8617349868302565,0.8699483152554469,0.9103756537523603,0.8323303829468661,0.8183825213051721,0.8476142821458913,0.8730984457492839,0.7974875505139479,0.8196963801635023,0.9983810979887272,0.8682802009560611,0.8409731582785588,0.8924050368945898,1.0660059292164434,1.0198940815659185,0.9620711487403806,1.1356715205917964,1.0870211663676626,1.3790331162442049,0.9424368425198153,0.8782691964271855,0.8201389416984733,0.9498914714124491,0.9484305578668024,1.0493605392001917,0.967619922283504,0.8623190028282378,0.8263577544688365,0.7753775022048351,0.803325652527777,0.7781996081041727,0.7923940031209594,0.8895237953460869,1.6301035096824585,0.7945142043015826,0.8127234827981804,0.8602829533140712,0.9117785377559154,0.7665493510897838,0.922616397550411,1.1965969829823735,1.9483946799643141,2.820180560838868,2.724542495092277],[0.8100131042834898,0.6269808143551853,0.6248946486519343,0.44672915182841977,0.46074898930139074,0.43179423198968503,0.3441569601241472,0.45265529715528735,0.4009618272247642,0.42588852890093754,0.482772488346284,0.5262115626666752,0.4545542973290764,0.5304979660592812,0.6501859496765865,0.5786718044230919,0.6024237394372834,0.6381153449841503,0.7434364084235495,0.6851220522740903,0.752706342966792,0.7466314548617631,0.951610619169485,1.1284486167192576,0.8171152669996107,0.8117124875535547,0.6755464048162554,0.5981359364790433,0.5875516422560809,0.5562096951948802,0.6995448926808834,0.5863776519274991,0.7327057123546833,0.6949414924037669,0.6011177825816871,0.5940895863528125,0.5347141088656886,0.5682900783023939,0.5500669274147195,0.5408795240994249,0.8684863792424725,0.7472636562724116,0.7195500381984274,0.7677112302899953,1.1125475734547028,1.3494465964435887,1.4335293126104744,0.8787931123906275,0.7761659837131984,1.0058809587854043,0.8356213706826332,0.9480696336507074,0.6981936660896891,0.6880683897922214,1.3928085519045892,0.6991417003174667,0.7010188106101832,0.7921004446574162,0.8469133433822278,1.2728081623843455,0.7697507787992451,0.8397023949982406,0.8010607830525868,0.9791019286830059,0.8250652864202092,0.7313162201545663,0.8791822314788282,0.767600003310247,0.9319189898620878,0.8390160134218062,1.0603397247707065,1.3151556568210112,0.9971437934195759,1.185600058486585,0.8015223514303118,1.3551671158735223,0.7492033101422154,0.7657261585836164,0.7092188703730322,0.6790119827522293,0.609001826995017,0.6411044071760554,1.1211489412957523,0.5483619108860153,0.6617893527513199,0.5245975998343642,0.5866332233389748,0.6141100253683265,0.6172299321051262,0.7310962816682671,0.7465162060160185,0.9562129374321238,0.8389043070631197,0.7590755458841842,0.6990029051222535,0.8125977892363374,0.7609608986855954,0.6318209600325093,0.5880133795411501,0.8352701990609644,0.5979948475523125,0.6564381274263611,0.5057454037025071,0.5120880923385885,0.5913784187976119,0.5097900006611648,0.8008087705112024,0.5117085079397063,0.5628090080960583,0.7852401110943684,0.4877951466981069,0.3768077388369182,0.3426346219718132,0.436071302427347,0.5414005686476661,0.5497757681760971,0.5974677757262229,0.6562404994066248,0.8397627162046352,0.6984201608142789,0.7077317780241503,0.6192882052989387,0.6085940486074993,0.4969077219553308,0.4365720386987835,0.4895890640853922,0.3994167242330099,0.43513303502895745,0.45896449231800385,0.4587437186303837,0.5045061465435668,0.5644644546792186,0.47970317458319583,0.5261221835963773,0.47801281310816557,0.4805857359133981,0.6295923219721229,0.6335187977194384,0.6183736969947922,0.6033070736716066,0.9166261983415632,0.8805434602846951,0.6561724792371249,0.5811747946384281,0.5520570386643893,0.5711422325964904,0.4862429777648111,0.49121598247992615,0.378579170871895,0.4177290904371274,0.5321417177863659,0.6494420268045928,1.0977878652472137,1.8091410163820665,1.1004886424333675,0.6952345535261312,0.5285704904343286,0.5240811798712092,0.4606228393249256,0.4566548016389499,0.4367542916793948,0.4825078360580358,0.5142803029263802,0.5001779475543813,0.5969104408006315,0.6911278256704596,0.7686918800619362,1.2402166041000038,1.198004428761355,1.0681441142256074,0.7568328113306046,0.5922915209475674,0.5685110749784957,0.4413927346638394,0.42328091757388203,0.45276831008262214,0.5060592224683576,0.7270266960947037,0.46996182164029704,0.49490302926252183,0.6909618891718589,0.4066649281485192,0.4312098766720773,0.4802514698740314,0.4997727590037024,0.6170336723879344,0.6719047531146392,0.8859906739277883,1.491464993794077,1.1322673183227614,1.1721733111064627,0.8327069691205129,0.799042144045865,0.7067070014886833,0.5999902797053133,0.672276880567316,0.745551771968034,0.581527028417967,0.6204746677822086,0.6861580178134773,0.6399484868294446,0.6383772091170877,0.598570311813531,0.6557767627018095,0.75125651887128,0.7158041383623864,0.7318790117735704,0.8295975356145211,0.9391444948532106,0.8395203790075503,0.9299444562482948,1.068029671240173,1.0537458511758866,1.023076090652487,1.2474807535682302,1.162974007587614,1.273139830499163,1.1445382067342271,1.0268010434635968,1.1567505764422126,1.1758545931394833,1.7414099985364297,1.4334494439493564,1.8205455776946389,1.0466136929168464,0.9800205882866508,0.8691123961582086,0.8235945606378401,0.9419310094467175,0.7866769880410327,0.8543031063307288,0.8272602738016684,0.914674846777183,0.8098252518839965,0.9355735889120308,0.9647503744984721,0.8784769440872695,0.9817674388034422,0.7274827093277719,0.7157815212027628,0.640689257931118,0.7386739387005417,0.7513081384465621,1.0530111615597548,0.9071357645276392,0.7495095825397258,0.8900469488560194,1.0100578920126646,0.8536781719333265,0.9184640370686165,1.1516510285481698,1.2496066970626605,1.0185318283896962,1.1499179717246013,1.3122641730766182,1.2874100581788532,1.1680807276281573,1.2472200688074164,1.1273139626019049,1.0876939516968143,0.9594435240480339,0.9732731948457851,1.0611084227594683,0.9227766631214065,0.862435227823514,0.9443696131375634,0.9643933252667048,0.8212672686589375,0.8620675655897594,1.0863385592129613,0.9171773364514477,0.8505964410854376,0.9371193333150085,1.1488814489335966,1.0697471038732054,0.9909121825313131,1.2123086441417255,1.1530607266149633,1.5154983549891816,1.0214909644848766,0.9148265455620173,0.825793726889619,0.9618079855734579,0.922051454926823,1.0064350561831374,0.8902524707949084,0.8029521547055697,0.7038306218812309,0.5832759793802575,0.5233653502394259,0.5845685636040135,0.5988840382331705,0.7952292121746407,1.5345282144649108,0.6198169383917089,0.7266374727542293,0.7884346954831987,0.7789411196160697,0.6306285575557717,0.9433970702639005,1.2971487034948315,1.750213682876202,2.461208083616283,2.728246211572648],[0.7994705661620608,0.6413672588246715,0.6697832225041532,0.5821104546279621,0.644656337541697,0.6860330488555979,0.669068620600099,0.8261371559376234,0.7740480058278079,0.6747578499898637,0.7269187918092779,0.8604891974639262,0.6995751949804846,0.6387946818235618,0.7235729723583018,0.7051997476678848,0.6839939024843389,0.6670295659688587,0.6665438427213002,0.6612411567884356,0.7006207120457889,0.7083573717157201,0.8528883175477106,0.9726075214766201,0.7291342881150968,0.7170454744299615,0.6375459703422633,0.6132203931706816,0.6775693871134986,0.7056731623198415,0.7609101841398662,0.7557919628851739,0.8673199030205216,0.7986317360553298,0.7458511885241795,0.7027060365671284,0.7125910966695153,0.6918901526089067,0.654648834273652,0.6762397186782786,0.8273796222366134,0.7139156328370745,0.7204360645663179,0.7969494454962573,1.0092274813997832,1.2806974816523529,1.3191814939429445,0.8638251822727556,0.8369028512841542,0.9898462735587255,0.8492832086625094,1.0591772387658474,0.7831952580690514,0.7819507275737483,1.385181658283028,0.7749753130743151,0.793511579968457,0.8444068576630276,0.9356702175347618,1.3880761887336488,0.8311129898250778,0.8195170572902912,0.7632461961581619,0.9035069795452442,0.7651336603109317,0.73062520000802,0.8635157730216081,0.7493427675866147,0.7940671201296384,0.755365932408697,1.0014057953800881,1.3045061618006977,0.8898769751869698,1.0680373789550341,0.7255441312375936,1.3084014555457713,0.702499584745636,0.7362702246508543,0.7255236459920243,0.7902548559173364,0.7603947379382987,0.7280966672525556,1.1891214420583147,0.7533694910757303,0.7928643453320121,0.7122217668213545,0.6964024222964393,0.7763054583712105,0.718467983352613,0.8213189038613001,0.765160313979381,0.9711363094260524,0.8391052658220006,0.8040247626366565,0.7858059796777394,0.8646763472147831,0.8678820126427012,0.8273732334049979,0.8514918108592456,1.049584780774386,0.9030478058113024,0.9914414581770647,0.8322334393125872,0.8320138954907214,0.8634307565742099,0.7875320844479587,1.0174145930202387,0.8013897264031873,0.8302879772580484,1.018870642964197,0.7765143911311881,0.6760307310616229,0.6589683696326049,0.6975177666649433,0.7467898818332955,0.5827667686509631,0.6122850943597182,0.6114136995898822,0.7331663413574243,0.6213803694196496,0.6110754075550413,0.6239091920548742,0.5435140689486202,0.5491167789538877,0.6525101336294146,0.6479894738390485,0.6347812749037479,0.7095572083538151,0.676179116188361,0.680296028050172,0.6413381342177393,0.6635206529019825,0.647688302425536,0.7570806932398562,0.6962539108277602,0.7172042360863469,0.7798841282735278,0.8831237039786072,0.736902673052233,0.6266835196244633,0.8962323453923282,0.8725832582691405,0.6434100743810008,0.6199820384971043,0.6116919314935908,0.726431637509746,0.6124290751214453,0.7574159106755122,0.6813299443498423,0.7399457547155501,0.8710689891759908,0.9851340788740268,1.3723331669163248,1.9274448513837663,1.2262421098189733,0.9959164376603452,0.8604987910977061,0.8600509869619218,0.7620119167330593,0.7983718804753275,0.7036445372415994,0.727060302871061,0.7117610815575743,0.6875503585517161,0.7961154100622205,0.7320094968286056,0.9484893985124919,1.3364684810359826,1.298650078783213,1.2191849084999467,0.9532275885381613,0.7923480456311939,0.8059672738483482,0.6846223674976762,0.7118839935530074,0.7536555063581453,0.7695759874735698,0.939142668104255,0.736568862063166,0.7331085736699928,0.8814106897291153,0.7085115987248745,0.6879784754253431,0.6936808347695056,0.6958680265584893,0.7792638755560293,0.7790641189320857,0.9096688123012776,1.3952147543309978,1.200764079537583,1.2461840085255107,0.8165901060711658,0.888412229331736,0.832196358467502,0.7282012553594251,0.7185068495337351,0.839661283193967,0.7114619844404615,0.7199148059688494,0.7150748269299307,0.7465631174618637,0.7643107275899804,0.7163262088609909,0.7365528314716994,0.8244536932511163,0.8087236339724754,0.7477367974814492,0.8428670626728273,0.9807278719055396,0.876447801504788,0.9079776297596118,1.0260462490569173,1.0511419968193894,0.9710007939741351,1.1314275910862743,1.0684812725964252,1.1437746671176872,1.0483514783559806,0.9545795930047511,1.091736454066388,1.1109639001210434,1.704510621701512,1.371582978427652,1.8396167251135809,1.070274172399935,1.0166763833195964,0.9625773051463417,0.9044094455757422,0.9669741690485321,0.8529355501030369,0.942267137284921,0.8674928707687267,0.9520650904582345,0.8672028397118668,0.9739771238649656,0.9661030998919321,0.8570107884446416,1.0610617417581845,0.7886487676035395,0.8178917018123288,0.7636335515140399,0.8669505818509686,0.895968881840051,1.1363753600485516,1.0441780090599575,0.8992143846613562,0.990303245802484,1.1274873702095878,0.9842114322838086,1.0194225970087023,1.238168089009008,1.336266727289663,1.0942765448350884,1.1919963720174465,1.35042520367429,1.3199687965735536,1.1502323084447896,1.2191300188474183,1.1099538032309986,1.0937369330896431,1.0062846381555641,0.9952669010990103,1.0391470102741684,0.9310517510826433,0.8947685935648281,0.9317828921336012,0.9316317852869097,0.8386807515631053,0.8589203868529856,1.01806253625102,0.8828703156085871,0.82295086625193,0.908417420443165,1.0815474737404638,1.0233899922830823,0.962437607775247,1.1374007495146654,1.069533646119161,1.4547835866589134,0.9488190439699604,0.8817497773290042,0.8037156952269029,0.911221295038875,0.8656578132596807,0.9447543547512026,0.8012348388586634,0.75450518624844,0.7675349060918328,0.7155998778950434,0.6752493960751591,0.6767794970556565,0.7452095638333117,0.922165021845134,1.6815875458787362,0.815118485710581,0.7920984473258208,0.9265574712520691,0.9860350723891756,0.7201989566886186,0.9856674176024872,1.2214523188213215,1.7516179357021748,2.4798269494471805,2.6102556082295467],[0.5602979462134641,0.3712308590497146,0.4579668893959224,0.34232181806170986,0.3595582249605166,0.3608668091840787,0.28919784962096673,0.38463663336421694,0.36973733110793994,0.3639749288195056,0.4224233690012249,0.4923836640552689,0.3964754037812036,0.4413634117935369,0.5530628540540097,0.49895583740065275,0.5322719756137428,0.5325286447205426,0.6060641059800645,0.564641782856185,0.6375201901650034,0.633852585541525,0.8117177719572579,0.9763876199201751,0.6749158363870458,0.6733529662413167,0.5508918539706339,0.4847310731724968,0.5021545681513524,0.4750217835002705,0.6002517484429285,0.5158525309091492,0.6814176566494322,0.615552227547602,0.5320540129083196,0.5110345958444535,0.46195813625246307,0.503850355596582,0.4837520719002713,0.4767384390946645,0.773370936043328,0.638858417507663,0.6176651896921203,0.6936256796040031,0.9656705409378129,1.244311582107594,1.264661929933003,0.7843022051436087,0.714978454949448,0.9112932150224926,0.7575430824335283,0.9097154052388419,0.601822350553979,0.6066455772930326,1.3210352757249126,0.6040375474429313,0.6291528195272306,0.6887666195598211,0.7916291227823979,1.2588915353376946,0.7035414264671432,0.7276726961563148,0.6680060098167845,0.8778854864697447,0.7059868932615944,0.6299066506198358,0.8159366060488586,0.6648199545783704,0.7810259143324636,0.6694682982752498,1.002462733068701,1.3511263404472689,0.8607820363719436,1.0803323498584196,0.6428670345979312,1.329409922848213,0.595872727359622,0.6295975009596164,0.5771556735656892,0.6152475891066586,0.5481203073976856,0.5488062849768481,1.0993672239475971,0.5061043445708886,0.6357294019329316,0.48015783670575174,0.5078332628698483,0.5580429935446263,0.5390192502465234,0.6310798549880903,0.61893626786942,0.8511799750392613,0.7040319885432983,0.6457119059765625,0.6002797271246746,0.7026484480101831,0.7002340377480539,0.5754057046092941,0.5388063700836757,0.8038580782622176,0.5572326676348722,0.6189871513695646,0.47993039971812257,0.4764546048401109,0.5314294926282501,0.4500081786372282,0.750721072840287,0.4140787911789413,0.45312974767321956,0.7361023560991955,0.392969375973464,0.3222079388167012,0.314703659365586,0.436801128669285,0.560290385949278,0.4629325263678965,0.4914395113965558,0.5532408311232608,0.7217737080349451,0.5903045116060204,0.5831352666295064,0.5304382384628357,0.4793957921101172,0.4096917178931374,0.4249136624624076,0.44112953995524545,0.32338898692583146,0.3818841180343176,0.3481062997781765,0.37202917565071697,0.39683356297430744,0.4719367850456743,0.39943726386860806,0.5021706942234019,0.44489200008732677,0.4634995844297187,0.6085426160592763,0.6800495624958475,0.6615710702197968,0.5197662661514139,0.8630150936257177,0.8133492600427611,0.5643393416660452,0.5162745581051624,0.47465798808743664,0.54120721327813,0.42157987629373284,0.4842644962191197,0.34225521313706475,0.3843790310660795,0.48276214570245574,0.6007377831517179,1.042071718520676,1.7976298125784256,1.0856198365285907,0.656866926236757,0.49778830921634915,0.4835623762813449,0.4202184172833156,0.42402971393991074,0.4027844923331339,0.46002308235944783,0.5002081578265652,0.46670362970787815,0.6149552707726946,0.5861957313480506,0.7400318067003406,1.177268161059919,1.1459423173396688,1.0705400666105673,0.7534482918187885,0.5873627377382492,0.5653400312432537,0.396983799714213,0.38575563478364033,0.419057304058423,0.46600884965938705,0.7201325193954701,0.42361409414383083,0.47406681598010136,0.6162627528958616,0.3668538403966474,0.3812190172834188,0.4127040794602759,0.45516618242070683,0.5609609885891053,0.5968043918789004,0.7972764823982142,1.345303724487339,1.0380120330014546,1.0824127250340145,0.7545806497529349,0.7522988026080375,0.6694046498414773,0.5307364335574705,0.5444722859657303,0.6677397565611265,0.4285040917051057,0.44954481544769737,0.5578098455356899,0.4516550986273662,0.4844723094248963,0.44264776803553774,0.4597027746303172,0.5229548232946055,0.5133977812332484,0.5200471520793019,0.5727982342298865,0.6618851844127949,0.5834358723342593,0.662292511841215,0.758057013233431,0.7588825293346623,0.7428233297931676,0.9101769363121411,0.8844587404693927,0.9533862231073124,0.8794043651949631,0.7501506938885173,0.8474376820810979,0.8622801097782445,1.6915475393894166,1.1107434083217969,1.6082374187996062,0.7837239125609036,0.7284476144491576,0.6861388417943033,0.6565814798858715,0.6833305725080041,0.5575664697486375,0.6621512577869966,0.6057306575181876,0.6915090977090349,0.5850962901754656,0.8356182712346419,0.7569367969835576,0.706646168400063,0.8585209776624999,0.5405160233334102,0.5714727107821251,0.5075970437151027,0.6270664227828827,0.6735968298881589,0.9584402534343573,0.8314543178472685,0.6844099518269052,0.6992792412033801,0.8612899298442485,0.7269301053538697,0.7099863009839902,0.928659584606132,1.040562739579702,0.7631119126964249,0.8501765884656967,1.0137609558245964,0.9701864964472564,0.8271216028520834,0.893784199832688,0.7977152505814115,0.7665628779071165,0.689808924511357,0.6907772069120872,0.7610288951732148,0.6494040582644586,0.6212450614491917,0.6702458114958659,0.6943204182430698,0.586330314214651,0.6080857807148813,0.8256140223648751,0.6897196977215845,0.6412618091775415,0.7274397964658899,0.9766962565908248,0.9205292477057015,0.8391667141116425,1.0210013968459988,0.992177629173058,1.3092692031015558,0.8508134873727322,0.7275826059535452,0.635491185859085,0.859535556099418,0.792382894799274,0.8762859058984899,0.7441722718932225,0.6432003050004341,0.5715454096113407,0.43064610983026796,0.426408800129553,0.4445747385485502,0.4745826777481853,0.6630617501503981,1.4860671949208644,0.49060720365880456,0.5567964604831405,0.6160092855253317,0.6644529059399942,0.4742102882593358,0.7218364701565185,1.0662804687062584,1.8688814209805267,2.755011350768374,2.6193432691893204],[0.6409610075321149,0.42749798672390416,0.47885773762187744,0.37660257336477876,0.3785298206261235,0.38361807182062496,0.30520338530390884,0.42471766325868837,0.3708261658950176,0.3522385919905274,0.4135077147426412,0.5141079585365286,0.405004257183689,0.4047916096949543,0.5410524770268861,0.4948596095126405,0.5080757832656294,0.5123649315301559,0.5513421606554315,0.5260496295966341,0.5828371906363525,0.5880450992985865,0.741910029332148,0.914176253258511,0.6228468450410336,0.6242312855399295,0.5079472320832462,0.4502339239480234,0.490410141924911,0.4907327160450051,0.5857975202266781,0.5218064376670083,0.7102437730246373,0.6307958864500343,0.538784100619798,0.5175947769665262,0.4876495216186529,0.5001159524676225,0.4903735791372832,0.47063623314110836,0.7622096905674718,0.600723072488479,0.568884670465866,0.650315361749069,0.9260558192789328,1.2141580499165268,1.1815424727343706,0.7254189729601923,0.6914907129140534,0.8633958411518956,0.7522856578258044,0.8734089134586472,0.579079629243086,0.5824696347721455,1.3320727453008248,0.6434712870940038,0.5966882684916799,0.6932053042682369,0.8239072589609916,1.1757453154522166,0.6356238808170857,0.7136070807742717,0.6632941887690609,0.9039514982054754,0.6506246654099941,0.5887777476344552,0.8037679455294297,0.6420469770588344,0.774439656742711,0.6385795102826131,0.9747583212427449,1.3882953278598174,0.8520860522803378,1.0591558543842148,0.6165841944692925,1.3007434002413316,0.5893787479225051,0.6513798938279121,0.5828335597036457,0.6207469432432811,0.5720410035794244,0.5632294827982375,1.1073955067978807,0.5289844901559311,0.6252643022441962,0.49273301600539543,0.5048509830988958,0.6005536572168315,0.5370403240827047,0.6270560042039114,0.605600445965859,0.7785148516735888,0.6688687799447494,0.6407622704763983,0.5879091598619024,0.6723484679699566,0.6809730962833955,0.5959728779826063,0.5635285307934375,0.8542003448630884,0.6008833279100454,0.6812305284671099,0.5278706295021289,0.534882905259169,0.5326888983279995,0.4650449389056864,0.765780852747427,0.4732923641334161,0.513400425745219,0.7848328780221989,0.43933158751225787,0.36216568151898476,0.3454692512686133,0.44158016044837406,0.5572250179686132,0.449819328700922,0.46017374934201033,0.4978527683530228,0.6658552957716295,0.5599317688851141,0.5435744003059801,0.48595017326337164,0.44880754470518,0.39766329911457127,0.4170708857172803,0.45417977128080156,0.34412030509889635,0.40398428191534375,0.36503170570981747,0.39181914247405164,0.3704084422065056,0.4515088172754476,0.3788187270118029,0.5470259720571481,0.4627057954273349,0.4733817720725126,0.6511378488571703,0.7051839800153388,0.7180578098923642,0.50377467401425,0.8458742515873677,0.7734166943507447,0.5250191487153134,0.4825262602452669,0.44489038330146957,0.5164385427824592,0.39752523126472294,0.48289022984514773,0.3639360496732685,0.40158480707596605,0.5298760895112435,0.6431222919777646,1.1136714946519894,1.8543785697404693,1.1030516480790251,0.7408501661687522,0.5477517039515295,0.550407658653393,0.44577647164434786,0.4660559751634516,0.4053875927278558,0.43810407249595856,0.4499732293115957,0.43047221356592047,0.6262561803038393,0.5598207868409276,0.6942368125893392,1.0979436026385543,1.094065342268251,1.0457012738912703,0.7402909619182959,0.5713334461236481,0.5524428790668532,0.3774551178741975,0.38649552026422324,0.453070641557383,0.49410539558993344,0.7819059774238739,0.4436336569430066,0.5202437565803799,0.5719157759374078,0.3816409468323814,0.37333221450492327,0.38719205741853546,0.4386017996000114,0.5287153530689918,0.5604776210036971,0.7739574214718522,1.337743992287871,0.968386107681279,1.0127066976206098,0.7458255672942512,0.7133219299729658,0.6494612204604046,0.4875821136002327,0.4997570372504112,0.6165353109878062,0.41950722477700547,0.42431895845704753,0.5043570611458512,0.4680354131822727,0.5215686280558407,0.45184471440464247,0.46821555892263483,0.5452335048676688,0.5241381583221252,0.527080526861719,0.5784588167221079,0.6902699540088638,0.5926821585760625,0.6757907990722803,0.7620355340306493,0.7602902607908305,0.7522999959322759,0.9075275604061732,0.8627079826624268,0.9448721450991899,0.8667010857402092,0.7635961694765983,0.8810972398656965,0.9121540091553169,1.8892386704889386,1.1416993839306278,1.61615401944046,0.8340707033141963,0.8160119128020648,0.7592481656498596,0.740011824379607,0.7237832322508245,0.5942434178488898,0.6809083745114587,0.5893133341091796,0.6553123637801719,0.5443328677158912,0.8185058149903541,0.6831656373922721,0.6638144069622998,0.8249122412666942,0.5184014256898022,0.5892454972173877,0.5693302187257624,0.6814144690592978,0.7569101844988276,1.0562356063663207,0.9224032638356816,0.7886871138724271,0.7927215814088049,0.9460524603378484,0.8127756321591977,0.7749625723325477,1.0071534884892113,1.0887094693277268,0.8117542091853219,0.9206560924084789,1.0900107814918252,1.0000681497549389,0.8720711315348008,0.9635991711340048,0.8487263346097614,0.8275295796807305,0.7448327111613715,0.7559317839576257,0.7938150238959102,0.6782768417044377,0.6632847754676036,0.7047662500454396,0.7193706247925461,0.6006728058705109,0.632389571008692,0.7964033287657936,0.6787616163806907,0.6040555733682027,0.7024809898006976,0.9109365572685242,0.8640825263203037,0.8022759391215035,0.9610122159113675,0.9515502706185012,1.2745057710441117,0.836460065387213,0.7153820128053945,0.6414143901072463,0.9007714631490764,0.7922952747968498,0.856471719033408,0.7116374117046742,0.6027703654469305,0.5186233833674496,0.4162159250134816,0.41306282766783875,0.41551930379806395,0.483995433956644,0.684791570935945,1.4916264470937761,0.4849130430287384,0.5738849073178015,0.6479780083053287,0.6359056908060345,0.48832419703427415,0.7550886528141949,0.9912391117605885,2.1709212517744025,3.248953827939096,3.129389254858189],[0.6523938680133211,0.4653880593010753,0.4919603214215513,0.44441536300321927,0.46634525203637744,0.45526256821504035,0.39786596827468196,0.4597997535635738,0.43674802598357565,0.4246061961715366,0.4659435212712905,0.5398077874719803,0.45904864065196305,0.4963716445664839,0.6164240144542343,0.5929803914079033,0.6006592817844169,0.5935321896446755,0.6552742327218757,0.6183703975703243,0.6809450346416531,0.676442559752698,0.8849326690518579,1.0411682262409587,0.6927384067422554,0.7042667619195896,0.6033691531439991,0.5405933922097264,0.5663783579425379,0.5709807348797877,0.6832008027993385,0.632583516689476,0.7977756234007745,0.7231954198926073,0.6395933155447322,0.6006955601803311,0.5884426499651235,0.590659997447979,0.5858166717757995,0.5658768355825063,0.8104863087306925,0.7008075399734037,0.6910520693834293,0.7217229866897287,0.9773212681519075,1.2053234219961948,1.2384877724176646,0.814474152231541,0.7456595773271281,0.9375425503733752,0.8479238510048764,0.9440489127709841,0.6602276194298266,0.6562479588066166,1.3321375002165818,0.6856694940570384,0.6783289471421791,0.7629913785067698,0.84880970029815,1.2642696249720375,0.745933256351754,0.8164838213754965,0.7671620917215507,0.9910820957604216,0.7634360071697106,0.699947058905331,0.8724449743477547,0.7377356175078069,0.8597387574989787,0.7234509857861974,1.005217780590777,1.4118083021284111,0.9103936037370844,1.1542936587887778,0.7075184137843344,1.3771409099263026,0.6939062345254375,0.7495000680541097,0.6725563200723526,0.6946806146021522,0.6482562471997886,0.6421000765658529,1.1732525321583287,0.6053812139469675,0.72581283580491,0.5832336194155349,0.6043921212538399,0.6816335630344184,0.6219491942284967,0.7259657307804652,0.6936321769549656,0.8717622323240192,0.7694347111222274,0.7475976326194808,0.6868625382579563,0.7730733622525803,0.7426845622632183,0.6784970092406165,0.622756307349487,0.895906759840127,0.6464420524923505,0.6864176053105713,0.6042721896871308,0.5741735750266114,0.5683295234151738,0.5208166203193674,0.7701000820260557,0.4620452478264709,0.49618362644115394,0.7908700276166203,0.4447958063913603,0.42032483756291683,0.40943444377536514,0.49501408312887535,0.607420437898004,0.5416023125599718,0.5362313707797475,0.5788644002951593,0.7894062641219615,0.6412999448760286,0.6161688615901527,0.5732244934281405,0.5564881860845363,0.48675669634777996,0.4699023585148796,0.4914806463763894,0.427096464749941,0.45050093720738127,0.43685756798941583,0.4529435580736122,0.46580935115610794,0.5228177655942896,0.46082736218977316,0.6007062079607446,0.4942095593650192,0.5064059787968985,0.6735483509007298,0.6514263256195533,0.6743677084933015,0.5863058949320893,0.8949002009887144,0.8457925076659479,0.601771655349492,0.5612714319581769,0.5305212022701865,0.5790010329259169,0.49584779299558485,0.5225332748931281,0.45515651719406697,0.457678819889569,0.5438718649414301,0.6551096327552206,1.0507186028313624,1.9331228970634307,1.2045952245628169,0.7389781085299444,0.5822455057547395,0.5653249848338356,0.509540800737086,0.5242352122707361,0.4998141363251871,0.516468607014831,0.5345475014910516,0.5215743601135275,0.6188118406222448,0.6143848214477274,0.6875215467523642,1.1056676315437175,1.0452008082330282,0.9920211046836187,0.6953755508282663,0.5850978542048756,0.5865275260808777,0.486732008362136,0.4866912457910114,0.523252505743282,0.5651862571535302,0.8426231098827507,0.5422925330569752,0.5976912171327485,0.6480596475601629,0.4538239685848955,0.4445280709813928,0.46445403106712757,0.5324595830565647,0.6187675199411014,0.6417260082113301,0.8538176156298125,1.3457808416599986,0.9974376822836735,1.0512868933371957,0.8269157673471639,0.7603621609044945,0.6899459482207952,0.5748349664125573,0.5792738046605906,0.7186641113601496,0.48615908731148944,0.47913572721361414,0.5546634540549442,0.45491712149634334,0.4836851828145329,0.44398615501527494,0.46846549892828715,0.5131331746426249,0.5064143436075796,0.537373193115447,0.5560881708187372,0.6339645208995618,0.5707779631712747,0.6485856068865632,0.7254230135758799,0.7398614580516706,0.7455287974041864,0.9023856686151358,0.8637253733212135,0.9135886738358402,0.8627599166382928,0.7271353378527772,0.8161927469076472,0.8388694875434006,1.8476962515690176,1.0622480364071978,1.5822351784978985,0.7578108470926106,0.7034756782482207,0.6595556669019988,0.66863814470468,0.6705306946993116,0.5427480909667544,0.6728293678748783,0.5821299319304871,0.6370518291412023,0.5693743479731186,0.8597581587889086,0.7326716810355565,0.7347297814385492,0.830275997337228,0.5315795744357403,0.6023650759563269,0.5731371030048735,0.639524428044387,0.7013405373868906,0.9578356321071975,0.875032775943514,0.732500117390883,0.7017556548108215,0.8624528103344454,0.7519784251856216,0.7098549818172432,0.9233031739884289,1.013712037140137,0.7470879151780547,0.8420363547998014,1.013883769944958,0.9365544647038294,0.8052032958242219,0.8899346664647533,0.7813234424559572,0.7513845052938343,0.6723843039925005,0.6710789092100024,0.7206125850632861,0.6164829784926801,0.5997058299195736,0.6321264098352516,0.6607298366704638,0.559472859738464,0.5777513920595272,0.7659108851147292,0.6810422413300726,0.6407309830096946,0.7126401612402651,0.9838427304095837,0.925374740802508,0.8320036913784911,0.9946383697965582,1.0240595149194107,1.2691452958564702,0.8708227768431558,0.7388305174742124,0.6489442700368745,0.9028370861087038,0.7691562858916554,0.8549533434714369,0.7224231558681738,0.6233033865884132,0.554464425074633,0.4599576687298653,0.49096576904309486,0.46941203430337625,0.5122762614914919,0.6955269567914907,1.5564674121863562,0.5225182649527461,0.5727921463243908,0.6870590692568536,0.6806359701263021,0.5285588563944761,0.740508774360781,1.021668277840499,2.4099413639250677,3.5896856231348466,3.373261612476199],[0.671454894046176,0.41941471349450105,0.4145695655449489,0.36847927863021357,0.3628995135414225,0.3881370651426544,0.30895948363967063,0.44696175090581525,0.3564115285242759,0.34404191314923394,0.4041650876854239,0.5227303835334962,0.4181974626664765,0.40602020099117225,0.5821274841654233,0.5477152682122239,0.5205304887321036,0.5451890845473822,0.5904116497250578,0.5783339541261984,0.6166383000554678,0.6155139864421173,0.780437038534769,0.9304142148128386,0.6154869506413903,0.616113160394768,0.5135008558616762,0.4499759178013632,0.5103204676542479,0.5315933663793718,0.6444830066726361,0.6006072531450714,0.7989095392293014,0.7274553157477295,0.6277739259581924,0.5718373079624544,0.5521558184675162,0.5341295994745754,0.5103764128424378,0.4896534895609465,0.741764386410263,0.6010004415760382,0.5809263026502107,0.6384644875300762,0.8916847939080103,1.1626895929374956,1.1147239436352543,0.7114678658435422,0.6923440692081355,0.8279979394386768,0.7743492828265075,0.8874115761897954,0.6053559407793532,0.601487778372659,1.330578346281594,0.6797519102129483,0.6159337750144053,0.7232232566957775,0.8822278536408876,1.1430934887026407,0.6917791170225315,0.7771919729680864,0.7261312230043729,0.9954755087533361,0.7127496654015637,0.6527691376272814,0.8573051080742732,0.7090475787576266,0.8024892542024521,0.6737257634278303,1.0159358301599617,1.4989206661571008,0.9221729111916083,1.128609176249984,0.6731372312929341,1.3625159247585068,0.6636483723985406,0.7282591467168855,0.66314897776016,0.6728866946116222,0.6248871841238878,0.6234461389598023,1.1653307755555395,0.6346794281356377,0.6542839961008337,0.5357905052115797,0.5407291396010007,0.655788075242253,0.5926845070629118,0.7140033402666627,0.6658882721434892,0.801763954331098,0.7269682111802852,0.7297981570896047,0.6556385965314263,0.7376885135206739,0.752986116965993,0.6696275552113906,0.6246293392534665,0.9082306116533122,0.6646436583705265,0.7219358673433396,0.5993250457559577,0.6005973773303992,0.5775522450085191,0.5242245460989398,0.7982323238056164,0.47018825042417867,0.5029609697525187,0.8152554409919059,0.4333643547767325,0.36985179298704357,0.3509867466190896,0.4309106381885927,0.5455839946453221,0.43976871216870794,0.4382863210310374,0.45362310147136475,0.6587870975597331,0.5707075453253752,0.5246420573632055,0.4624801776410187,0.4302996992437517,0.38399999324194256,0.38157008434912115,0.4088151762742239,0.3422229446928406,0.39455510545496103,0.3488360422715566,0.40061916921890794,0.3878628117611155,0.465662595227107,0.3935711183031127,0.5729229587740844,0.44285211732497015,0.44044126748122475,0.6253677960768615,0.6307762243784074,0.7007297267113209,0.45289342714633724,0.7968385641551978,0.7220854231186391,0.5104786864308334,0.46430764587960216,0.42430458786184433,0.49589933133847636,0.42333696169691776,0.4776561576868066,0.38812573855643406,0.41513024400051635,0.5470842704184797,0.6583665015213837,1.105539107697759,1.9399735890358814,1.1231578413271581,0.7601710460893703,0.5941397899882256,0.5877858214864918,0.5023156041643473,0.49866438166633126,0.4240290671854605,0.47332723931794335,0.4324545329164724,0.4436463884544461,0.6038411750293299,0.4986084788926006,0.5882803529255565,0.9537943405335694,0.9390275310667568,0.917766095279403,0.63592848299562,0.4872246397698668,0.49833353323072604,0.40971118151395847,0.4250621330417502,0.5083016505709131,0.548509763103196,0.8739512617684015,0.511131511576335,0.6368715708421169,0.562637307525106,0.4308583495558423,0.41295173183062467,0.3899530398964145,0.41810219975311835,0.5181750211645428,0.5313814916890913,0.7594075859633119,1.2844087032095937,0.879024626662383,0.9207020469740524,0.7459114565673733,0.6695190656253681,0.6094343551117044,0.48089898017933197,0.4824538396695155,0.6412733663972748,0.4212058702247671,0.42013438518827245,0.47298430459332863,0.4532362641312923,0.5062330998942838,0.424888199973177,0.4550777163588484,0.5331674836889688,0.5149519006314323,0.5144688972174659,0.5645131404156212,0.6669476616644008,0.5850096276066769,0.6584356050981035,0.7266452002111783,0.7358347167592653,0.7724554614090018,0.8745569805544541,0.8488876984377617,0.9112580105634631,0.854009284585845,0.7282310806882175,0.8518224423849297,0.8712059993478809,1.9825637312201214,1.0821957442018146,1.609383478255364,0.8218937876694358,0.8145507370239546,0.7621652154609135,0.7644894925847336,0.7029791589532319,0.5781593350642035,0.6540938204289961,0.5869053882933271,0.6577040088907251,0.5234547418085743,0.8232682202400654,0.6352201851870879,0.643977857992244,0.7922953012213415,0.4871713139745624,0.5952250341227503,0.5832051369126053,0.7014780683493057,0.7848057125405024,1.0464032967036379,0.9499915436514044,0.8207429716933144,0.8012862718808971,0.9332653076875402,0.8182645440211773,0.7671684152489909,0.996449819261614,1.0571925100845345,0.7782026753381129,0.9064332632332163,1.0865669480468603,0.9692616893363111,0.8464940821302106,0.9445221401770424,0.81892286866826,0.8007665203408071,0.7258311767001271,0.7345648777278753,0.7625122020516238,0.6572245924380039,0.6520297546904189,0.6801615049046208,0.6958690437372187,0.5819099664938999,0.6217802465736564,0.7556562690009413,0.67651289601064,0.5905921632595205,0.6876124073948513,0.892591609400769,0.8767479112728787,0.7846245361747972,0.9309295539285167,0.9398923142981678,1.2355972130584676,0.8351735356178358,0.7223649903281867,0.6442122821054524,0.8962641874097994,0.743396330815372,0.7983767605771752,0.6573819266927736,0.5474273520386255,0.5108048699518712,0.4127178732432945,0.4099199421250137,0.3754335727546971,0.46718264899503414,0.6946171788094772,1.5399191094669185,0.4651197158604578,0.5715915322663091,0.7317353207572086,0.6635716288142963,0.49712082686699466,0.7919210867215354,1.1219457017120793,2.84295128775039,4.253688425623344,4.251443743041727],[0.7267071083676309,0.5121882032026488,0.5283972031766196,0.4801185221376039,0.4925914878316721,0.491656054517205,0.43845228805602887,0.46649210381911815,0.44049322118091033,0.4598162232372304,0.5079532182282691,0.5431353459605955,0.511715086923396,0.5176742283080266,0.6366825117717114,0.6308387629756543,0.6175729580723295,0.668718656072418,0.7553717263110344,0.7191967787496291,0.7822893375090039,0.7871374177564008,0.938492681282763,1.1565433763538848,0.805246004259646,0.8094077282748205,0.6764841985526463,0.6058778119488177,0.6305545042814971,0.6104397359405616,0.7352667253675261,0.6577938666474841,0.8740628265215835,0.8046332944623823,0.6912113272764995,0.6647277406972563,0.6229209007466264,0.6510793319915733,0.6369026969384527,0.607815120102233,0.8358157099522596,0.7138030286643189,0.7107648115017322,0.7379769926628268,0.9969612543295809,1.2080376337629386,1.1991773916719088,0.8184105783175768,0.7902570670740784,0.9429313983126623,0.9272725474821814,0.932406491741518,0.7218069844111046,0.6959926811189173,1.4059728056959688,0.7842371267598567,0.7165445487746576,0.8458255141450309,0.9612847226463624,1.1898650544753129,0.8132064711225138,0.9068684120094097,0.8589746952678546,1.1601053010943,0.8651680653611211,0.794716217319465,0.973387364326456,0.8273358730283025,0.9574221955207098,0.807982909648936,1.122351792599434,1.5323120171840507,1.0325245033464312,1.2912745538923915,0.8253989052713251,1.5207626409410648,0.811351368749199,0.868376588068588,0.7881293296035329,0.7479075519026601,0.7326292786034352,0.7435770479440416,1.231296505523246,0.7453571359512687,0.7620126566892362,0.6190109050573059,0.6513220508655109,0.7231231339523533,0.6904364607607588,0.8259139132494292,0.7933065331446235,0.927735112971499,0.8495189470508351,0.8258428374622487,0.7294770649068608,0.8118463864099095,0.7638942876861442,0.6884675032325863,0.6124632727202577,0.8880425893026304,0.6506813270830474,0.6900816983366611,0.6089823199809651,0.5950067906960933,0.5787894799108636,0.5444433681389869,0.7116588612276941,0.48648685961197474,0.49163153283490757,0.7476903851904076,0.44766206986179935,0.4410995467583454,0.4430084402504427,0.5122578280483975,0.6320614274438655,0.5998433265920039,0.6140020612657947,0.6194450898360319,0.7908739727821653,0.7317184566499854,0.6719412444554475,0.6115452411076431,0.6279236282320748,0.5653646909227164,0.49877688477066223,0.5286070020639337,0.45834643138357806,0.48090256350844357,0.44509787171090254,0.49219917609296526,0.4916205057813369,0.5490391610447447,0.48409795175821874,0.5931253640291904,0.5292459096697161,0.5240084923291829,0.6718750317663705,0.6285051878005623,0.7573661169958461,0.6349176894619754,0.938553468939367,0.9149730636984373,0.6848842543658206,0.6371847928667812,0.5705540689369241,0.6071277122026317,0.5814202929539368,0.5580093775855356,0.4891278206462771,0.49037784431310166,0.5332132679522755,0.6373850372545302,1.035382008148479,1.925967658469364,1.1525116710004877,0.735410224139712,0.5810371199124994,0.5699024506905233,0.5618961954130065,0.5464959775138086,0.5240579709650482,0.571973131777145,0.5393757272249015,0.5881781801445077,0.6754089119474554,0.6921556143320775,0.663329728746438,1.0493971333136933,0.9865955717554903,0.9628072364342474,0.6832948084744873,0.5837569078737503,0.5781745109636153,0.5047463011364994,0.5160399354163063,0.5363174522572126,0.567301763861035,0.8803185567281554,0.5901730776856625,0.6868256709112617,0.6167642924248844,0.49315893913074405,0.49657772337376516,0.49745032831386377,0.541517213676205,0.6410566717344801,0.6937377484477687,0.9063895399150291,1.4179626626903272,0.9881362156601555,1.0666571635876732,0.9565143657333882,0.7693418494006378,0.6700250826670332,0.5707130370591209,0.5826520805914973,0.7033929092407659,0.49246910462542354,0.4728327438294374,0.557384126614705,0.46149676876257534,0.4901085691384559,0.45807948173177737,0.48579944428560207,0.5241095340183105,0.5156938485982001,0.5546328927306099,0.5699345153945348,0.650196226776984,0.5973938369603893,0.6764024810737387,0.7485361093393557,0.7535773735887163,0.8090604022828966,0.9132306171039165,0.8779878847274417,0.9210937032979146,0.8608315811738729,0.7338302881587432,0.8391689649652747,0.858975036261854,1.9944178608865581,1.053035704488894,1.5543705557557712,0.7782026216381154,0.760602286584582,0.7125395870342408,0.7529864459521179,0.6517369040873354,0.5599688591898402,0.6916331997603947,0.6283275918173752,0.671947021798133,0.5757802145083573,0.8814547253044677,0.6743243918338934,0.684269450403927,0.8142010323014883,0.5403797428611314,0.6357953019330178,0.6181391171277945,0.7173809280794453,0.799254287976835,0.9903212192264439,0.9105119292126622,0.8327523721869466,0.7702137107242719,0.9354143277876455,0.7724477405685884,0.7229887350340586,0.9600618051492211,1.0169151975602764,0.756948143378435,0.8727577052011944,1.0503601716738342,0.9463908811201597,0.8316488036237676,0.9162296409389243,0.7944696132513971,0.7748206442371808,0.7066992595102369,0.7124394780856389,0.7496272994622128,0.6460950791702073,0.6315065632452135,0.6560639887810884,0.6811006595492118,0.5729654829409074,0.5963985567914107,0.7335474039772134,0.6723843703596112,0.6263030047287642,0.674901634115043,0.9447822541923495,0.9088896872315824,0.8095929616100079,0.9750565523708418,1.0225740041125464,1.2148828067903699,0.8753788525719371,0.7528510353403602,0.6830048762320854,0.9257679914672348,0.7842529369492117,0.8453328832927116,0.7470429393362,0.6378469127671679,0.614011525302655,0.4656306155334158,0.5103468727184111,0.47416416801082645,0.4868625739826203,0.669576049982632,1.5661071142903604,0.48708849378128266,0.5964406149928607,0.722199731047768,0.6642650192556063,0.5592653093455641,0.8109791076212436,1.2108959259981453,3.0197606253081326,4.536277529264555,4.5887333728157484],[0.6604837326862164,0.44247182767139237,0.4392291445970951,0.35964421001586877,0.3763643683480767,0.42043848187946314,0.34419085553684703,0.40922272036537344,0.3436914871344522,0.3755686764514615,0.43279262911252225,0.5007823127909706,0.4539325902989401,0.4198538871148284,0.5859073671683098,0.5810672190284936,0.5699393817131069,0.623365917912862,0.6976924171523972,0.6665577804154565,0.7340470857119147,0.731167447771112,0.9020172921194136,1.0773591929742043,0.7125187346662344,0.7167865814699417,0.6152706222897415,0.5346532634979314,0.5790110494479801,0.5784682463713381,0.7110453525426498,0.636736404338335,0.8621332484853911,0.7847232831003966,0.6894581787019343,0.6489349358797428,0.6175086023109577,0.6130194965510003,0.5970796568583896,0.5737788294275544,0.7797772401029495,0.6621491952645819,0.6649077798027564,0.6875701384621083,0.9072781777461224,1.1449196316880743,1.0763962610315496,0.7617188502946967,0.7701457828625634,0.8671874849508172,0.9122328402306589,0.8783704317383187,0.6935782414525867,0.651564308364717,1.3987705111154771,0.786604703919668,0.6857463161598017,0.8327844879837872,0.9830890201951497,1.1489739432137418,0.7839947060492686,0.885518233479493,0.8379072186265818,1.1286894328528858,0.8308273506736968,0.7550846807743753,0.9529873034620557,0.8071759670862179,0.9071991274129179,0.7785087851717739,1.1104152742950262,1.6404326656452275,1.0507755629767563,1.2759771231167154,0.781068654249954,1.4544030795124865,0.765341852925842,0.8221637330851382,0.7509322846549121,0.7499566763492269,0.7018189586355333,0.7211847525732624,1.2248621099178967,0.7291937280317734,0.7185501987604042,0.6164613043848025,0.621669453022308,0.7165693708847631,0.6758723556491373,0.7900720353238323,0.7477773394491978,0.8760041604760107,0.8032984533125718,0.7973868736853312,0.7073070238412826,0.7758681979192718,0.7959209280067776,0.6873344001543271,0.6083747516354325,0.8840610637830817,0.6448937213368341,0.6609397329948089,0.5951849713280827,0.5930813088890176,0.5537973698906898,0.531313709923201,0.7470519797409383,0.4557775613185477,0.4542025597438437,0.7652931633282268,0.4032293914725142,0.36723758369875925,0.3579560391295191,0.4416385318364779,0.5925297028633032,0.4941084898743856,0.5186113809690277,0.5129714649756502,0.7320619757232814,0.6623308318198299,0.5934356355501548,0.5378726789876435,0.5000758932625986,0.43485565932445974,0.3795914243025306,0.4382906853009892,0.3625783059587908,0.38434547223081095,0.35965111702489677,0.42081108918340954,0.40580428665271945,0.47224353362080634,0.3960650678172784,0.5730284700540841,0.45134066358856784,0.4382975121329185,0.6020987943295706,0.5897465085392604,0.7270027783414641,0.5012671538961768,0.8205683598521897,0.7526319592141736,0.5651274235086625,0.5208395964041327,0.49775511187093263,0.5550155759979024,0.49469503901219275,0.502949870630407,0.39612263839238826,0.4007362528465458,0.516713696186964,0.630762722676656,1.0379065586550753,1.9144691457742173,1.128083626121348,0.7275628509344065,0.5614103486003746,0.5580301320120119,0.5097395705966391,0.4889307490107619,0.43414807109852943,0.5058190592629768,0.46530021656190235,0.5106400443813507,0.6515134416806897,0.5617891064624769,0.5674161641674106,0.9280557319123962,0.894388723372162,0.8973724872763911,0.5944045662868166,0.4975212373702962,0.5133423801355759,0.4322693181089326,0.4481757842973005,0.5194715732691783,0.550604655196558,0.9166259845326042,0.5718047842330591,0.6667312854249062,0.5430406543875678,0.4301127403692734,0.4096500631716498,0.41208447825852296,0.45080099296831927,0.5760117839460736,0.6043201431131912,0.8411322773715527,1.3082642439992018,0.8578160142856579,0.8951639519568271,0.8007369941471052,0.6589747808483756,0.5691002890118111,0.4739418925235615,0.49624306681926783,0.6633291581368536,0.4197352733216587,0.40742128845014064,0.48609166915181445,0.43801488545889133,0.4804002536565424,0.4152834524195156,0.42567715927895616,0.4999819847999634,0.4899190754152035,0.4829386588259459,0.5243392850000143,0.6287183351188047,0.5629698559392121,0.6300141657687027,0.6945184915630365,0.7073040688141972,0.7826652589222978,0.8478611474421965,0.8106713739340832,0.8795024462623181,0.7924013958670378,0.6906586603701889,0.7935649256965056,0.7941163122581054,1.9934772284716653,0.9986847262045057,1.5862504338374233,0.7784674339750575,0.7722195196196936,0.7072660221965338,0.7444080829204643,0.6231559900534107,0.5447285770965024,0.6613803710887932,0.5818534224954849,0.6128244964712894,0.5107352819027559,0.8691037184572072,0.5746107039884201,0.585676638803562,0.770886738836306,0.4745185150727602,0.6107074260290003,0.6042657663781359,0.7174196277775984,0.7973411762079675,1.0293986484764308,0.9155180394081602,0.8438862578566783,0.788686840975126,0.9579752117021529,0.7832924689138683,0.7238155106725518,0.9760823501712022,1.0160244283350996,0.7379875461369132,0.8625362167057856,1.0379781338648824,0.9226135743543258,0.8017291877468653,0.8920314637965554,0.7726673703751908,0.7500446047521432,0.6945049036034623,0.6972170063948483,0.709106328956054,0.6099992567542972,0.6277383902102368,0.6269839352362029,0.637943199421273,0.5354734293546328,0.5603649909147725,0.6920115224492538,0.6038341733583773,0.5342434796122661,0.6159012329997787,0.8021506224711008,0.7987029123683792,0.7172787648562928,0.8672976216039522,0.9569082338479229,1.1067357468532306,0.7817522451061734,0.677585413931205,0.6183145911930398,0.8705591928148366,0.6976591795820849,0.7398236669960022,0.6450701408002605,0.5307513510234452,0.5264785092966624,0.41365765021060635,0.4507439811096884,0.40359666293160223,0.45637406123895835,0.6781872326643191,1.5766027456178993,0.43993602932791315,0.5758893500843717,0.7453270324511181,0.6509666203196699,0.5318841079815226,0.8189033918919855,1.3845847054958496,3.367144744449972,5.087489812399781,5.342294336331496],[0.7734539404354174,0.5651134620509162,0.5556340988690729,0.4859221297071107,0.5828332578917423,0.5873234798949988,0.5274007415259332,0.5946435404571548,0.5415201296898471,0.5258891636969317,0.5744663409599106,0.6611730920517951,0.6277686083220646,0.575503191531295,0.7468296282083862,0.7544192655138509,0.6875756476497243,0.769618804555034,0.8253441535136499,0.8216406573807619,0.8969180807125613,0.8903299023636703,1.0439914530743168,1.1956925009700017,0.8330201710412245,0.8137608302013483,0.7607023998899713,0.6695046339828818,0.7203732485408968,0.739780009736501,0.8682818399329642,0.8389549007665726,1.0484594042599216,0.9797850710523056,0.8962699950846106,0.8102716373275716,0.798513473683615,0.7706447365517848,0.7343996047581126,0.7329955130990112,0.8201619689835952,0.7955849593007491,0.7868715673817884,0.8264824859583977,0.9856529999504186,1.1533066420054143,1.1196027367728554,0.9207757849807962,0.8566672980376127,0.940398640185861,0.9637249094384883,1.0561914218458672,0.8387992357919547,0.8364110094874833,1.3974487449711863,0.9242451660164648,0.8242665767384272,0.9285135898544884,1.1042111923829347,1.2331042352215935,0.9549626916878613,1.032693250687479,0.9894568415143343,1.3092308741913226,1.0048823406790337,0.9235494372606168,1.148888816238685,0.9832681503318466,1.0107268041167774,0.9038300262208676,1.1762334876983918,1.7183973235410543,1.1717691859559425,1.4059652953269828,0.9282008726458071,1.5174299524570924,0.9366832487162738,0.9921298711322492,0.9298542041973861,0.9012524641109286,0.8696287656976363,0.8748148690239449,1.3902587817623027,0.9768649798665721,0.7950744238235026,0.754098774146987,0.7816605874135627,0.9157006362747643,0.8368539968956696,0.9618576156072622,0.923163956541413,0.9866295131751557,0.95827258200401,0.9711143134768552,0.8681737262935367,0.9229867471316018,0.9189587188294797,0.8694903205226954,0.7980474417692562,1.05567556637802,0.8447479373387234,0.853953570721008,0.8114259664246926,0.8248897336747733,0.7642042386013337,0.7631734032515045,0.9378955127749177,0.6937287347668927,0.6503016216862941,0.9521522399228972,0.6183505814189759,0.5790757049959815,0.564249640954229,0.5770670666378,0.6612665883869187,0.5971039199074185,0.643324051429482,0.6178450770617663,0.8794598661042717,0.810294053983372,0.7264729979455274,0.6236072749229195,0.6031999132114859,0.5776963907639612,0.49850057798121106,0.5290346514555069,0.5654357154327375,0.575535729809563,0.5666175228679975,0.6566268216341167,0.6214804884166276,0.6911460749916828,0.6226782674622565,0.7740072445288044,0.6406544070551824,0.6176731916627445,0.7368239336486514,0.6398364328237891,0.757376448835013,0.5476601504457486,0.8052896326369223,0.8058105395115505,0.7128685937025467,0.6562138664662133,0.637085571869591,0.6452327629174374,0.6443365772556728,0.648589345833581,0.5990573617557735,0.5851709559285583,0.6745140642109461,0.7633236446500435,1.165314975479871,1.9471055920072504,1.2121958833150537,0.9163588946265143,0.7585247553493291,0.7729889752851892,0.7412314965344774,0.6998779515126908,0.6102019241289506,0.6607032540605633,0.6253083142081224,0.661555546546463,0.753341363851293,0.697843612821581,0.6654158513539776,0.9230820511460728,0.8724531772460861,0.8895817287576911,0.6403964707622689,0.5686916833871274,0.5938416481032083,0.6452647992153324,0.6549712871188929,0.7085373596558587,0.7232681557763915,1.0241960059390287,0.7322512555421484,0.8909382137753329,0.7546346993222482,0.6817955411797606,0.6669047895412051,0.6569544931182056,0.6715399453484698,0.7077887322443281,0.7028803203674785,0.8827412979498069,1.3220685654821707,0.9143672120178568,0.9699768167583896,0.9778579536253199,0.8118119238549177,0.7192333907993808,0.6704277168763453,0.679112831529817,0.7846015774219747,0.6080847628603436,0.5966132258729633,0.7048662464654815,0.646247788542341,0.6964901430531264,0.631552218772606,0.6115737612585574,0.6856723244937111,0.6781959936590479,0.6203919116832555,0.671211510469962,0.7668454913325972,0.6966488972347574,0.7379586448633709,0.7997731604616338,0.8166592280732029,0.8659779831659101,0.8982790323019825,0.877116833876222,0.9465077449305745,0.8530035485083727,0.780891181257706,0.8860765763654711,0.8951364944911735,2.122738532167916,1.071732418195774,1.6756513866247698,0.9264218371247959,0.9487765950322034,0.89185978083614,0.9431091796600057,0.7942709955425659,0.7233999369222254,0.7674940970461872,0.7398406070305222,0.7749105893805016,0.671897765085547,0.9797918132528465,0.7065453420646148,0.7334407552265712,0.8542928285641823,0.6705287149311256,0.8139332845475732,0.8021143756326481,0.9029873500062248,1.0097470325503148,1.2131339197870108,1.1114038622873783,1.0552801984454807,0.9493476351395463,1.1253232616042064,0.9377383044016726,0.8618246159396966,1.0731648527422188,1.0882953242293243,0.8634447237292693,0.9798606201669132,1.1326117199460444,1.0106889244939856,0.9099716573826785,0.9928596610851428,0.8896886092487426,0.8932011209763038,0.8548579487481329,0.8633894841848487,0.8398548640876192,0.7629250501749932,0.8183104615275955,0.7942813454784462,0.7804677524486575,0.7083714509707371,0.737349318293742,0.8017575181948865,0.7454995150206265,0.6919725150809105,0.7105335824218066,0.9151603599593197,0.9130035514572149,0.8306813181347263,0.9412222065381137,1.0077722525698574,1.147322030454571,0.8162346644849192,0.7440270752988817,0.6847928507361608,0.8993222348619946,0.7646929625327863,0.7852561360329462,0.7364461871237881,0.6556463133466383,0.6855705865732181,0.6049970561143937,0.6762858052023702,0.569275096292756,0.6696782540413705,0.8239631554894903,1.5034370260625443,0.6661406578281547,0.7475583910679684,0.9043020420290294,0.8387981448425074,0.638046180207846,0.9396119276734642,1.5714671676240886,3.6088974504867783,5.46775102212801,5.940576649330556],[0.7379035638826114,0.5335161025850833,0.5156042412113233,0.42640907158925245,0.46794545836961937,0.4772086575412532,0.3981735691389169,0.470309460561659,0.40379751668261427,0.35311216717239335,0.4109167072023489,0.5340823133622171,0.45782449285782634,0.4073449211359609,0.6009212051731726,0.6098101991090278,0.5634185344684793,0.6415466000296062,0.7322714663256027,0.7113540844186175,0.7972469025279265,0.7887825555561908,0.974499284744222,1.1471992424647472,0.7476785829687367,0.7406259857183284,0.6439895658882874,0.5549015033182516,0.592315851856743,0.6019101288088432,0.7285382215188365,0.6860723417394708,0.9148295311822905,0.829236233730435,0.7411514368118458,0.6726728162241957,0.6529197714716467,0.6388260898627943,0.6176781405674884,0.6095355785898257,0.7499149211070795,0.7077713255816391,0.6986165977600438,0.7415550952621086,0.9222043270097225,1.1011696134470976,1.0720865239852158,0.8219710947603684,0.7862468822281604,0.8814599736175349,0.946216940793677,0.9604190168541106,0.7498567526492071,0.7358750850359064,1.3821852461242892,0.8319491396639044,0.7217644419859929,0.8516731513843958,1.0218731409325676,1.1545981789929622,0.8433147039288458,0.9324558591817258,0.8905548927372481,1.2163532890841995,0.9026041008008859,0.8116016458770781,1.0522872813697264,0.8753281462875313,0.9484986389551364,0.8092301470566685,1.1468034469834705,1.7241569990173369,1.0992462635073283,1.3245483285433926,0.822308941206784,1.458234085576605,0.81608739720473,0.8715772554792393,0.7987561960240757,0.7926101663504168,0.7390737652692212,0.7417966233807242,1.2983819824886718,0.8163016269221538,0.6977450288604825,0.6230099858596876,0.64955666229166,0.767601925424157,0.7056796130336211,0.8201951526939348,0.8001840735007042,0.8736860275058728,0.8316535273270056,0.8313083029840224,0.7226136535598049,0.7840297380432312,0.7863463170469713,0.7207728165476822,0.6511521227736954,0.9925782981523291,0.6954612599081623,0.7297248736887593,0.6578380346391267,0.675484781783813,0.6207622453046339,0.6192982389457756,0.8194285959465799,0.5432364810565031,0.5185987329930329,0.817451445951194,0.46577268519347964,0.40681796806824366,0.39122839731329334,0.4328544959789622,0.5863938930181207,0.49456647492267425,0.5354924884862091,0.5213909652415994,0.77102082904056,0.6985430105347581,0.6103009686601638,0.5192932506650426,0.4898645109574727,0.4328474590744148,0.367584999832876,0.42313022711499615,0.4240459872095196,0.43973489006531935,0.4136616630030185,0.49225707643643596,0.46299277308836556,0.5348524698369307,0.4404165945141429,0.6489053589868788,0.4724944023372891,0.4534010865867786,0.625965969469636,0.561474798822064,0.7276174087346429,0.4692616542850989,0.7697808547207464,0.7388347747818075,0.5803632949996583,0.5272364000222901,0.5112352319601189,0.540659415531684,0.49486049000304855,0.4885983181375748,0.4363690434969281,0.4176593249212096,0.548137497028904,0.6666033510586751,1.0523492059724622,1.9377167344480113,1.2380083721554953,0.8122213220290332,0.6048658503864245,0.6157732580511054,0.5722651283496847,0.5317333361415987,0.47111902456835836,0.5289702240231232,0.4772110054699181,0.5266580930738306,0.6771483478914097,0.6077378592515996,0.5564841833779381,0.8781282436625006,0.7999860285599543,0.8312652816731119,0.5371673730693607,0.4607832575286215,0.5023665397715837,0.482159338411181,0.5055223781960969,0.5619081109271844,0.5914942968979341,0.9448106140327588,0.6046060785842214,0.7535473636166539,0.5897101786574558,0.5108851638359729,0.5007882726443565,0.5014245679644053,0.5118813019330412,0.5759339459030282,0.5901529276567369,0.8197725580622367,1.252135806171123,0.8064755314051933,0.8748487386928433,0.8741632851214853,0.7218887116140212,0.6070797235214159,0.5116905223973385,0.5088510227093482,0.7185559483733049,0.4820822756507928,0.47472873132055604,0.5688898832334452,0.5322566762993599,0.5824704698983509,0.5051529176957853,0.5123770028205547,0.6000608832072425,0.5980623428813351,0.5422638424639773,0.6065485665797262,0.719996814946184,0.6444456865617711,0.6882947674795475,0.7549067345674311,0.7859024471067149,0.8335824300950914,0.8554716766399842,0.8426298813407117,0.9015196126459138,0.8062573024053711,0.7169649190211966,0.8246644701411011,0.8127486228234638,2.082666958942855,1.0086643663118067,1.6239129851046963,0.8416362928343599,0.8525875753121736,0.7903917743958285,0.8588783209344315,0.7067983312805798,0.6280750200806601,0.676409626906187,0.6769967398699174,0.6677427700406326,0.5652708888939146,0.9037691568619765,0.621673479744192,0.643278091453042,0.7914691475712246,0.5293505504996133,0.651844144106709,0.681471688789102,0.8163657978754572,0.9212402207785203,1.0965288295811197,1.0179949095931258,0.9477015493619321,0.8834813291905128,1.0846592333409093,0.871923941515314,0.8029290960628079,1.047154209079672,1.0762090135958324,0.8122865631832334,0.9348991536681848,1.1098129638546383,0.9826197605007875,0.8753942355883496,0.9574748504121722,0.8452207379646297,0.8356077610486818,0.793896557540136,0.7987010213932082,0.7909399020309708,0.6946864057185551,0.7150423351331093,0.7052087591238431,0.7024943923261393,0.6010510574454462,0.63651526314416,0.7163470133236696,0.6425718045804658,0.5922613660206134,0.6269390021376219,0.8602089275863588,0.8561748200305619,0.7448498485367979,0.8757247575258331,0.9773518214464951,1.0694907980550052,0.7620491949364573,0.7000269979910158,0.6278840675347598,0.8496644084271994,0.6648025590724796,0.6888188333264903,0.6711357311892241,0.573920478626334,0.6023722681853577,0.47018119811685144,0.5357412788647874,0.4663821330520432,0.5866853025869513,0.7853048693814921,1.5615045800944334,0.5655666547512598,0.6820401864902127,0.8708327209628064,0.7595795094791508,0.6098764496964859,0.906897959451557,1.5966367044847503,3.7613049115659294,5.666663185842471,6.14354994323209],[0.6975806113090603,0.44388589637313103,0.4019309577224374,0.359344051305589,0.40030353535175045,0.40434127918287127,0.33683527396909924,0.37717870221594885,0.31970848896504045,0.31358612505541505,0.3637988827740465,0.48969990778883615,0.40926696218722297,0.38829135825010835,0.5700460129154943,0.592111967988854,0.5644237221052051,0.624200076908968,0.7348196046907878,0.6945078567465813,0.7755779526578954,0.7676211825502168,0.9582710602939153,1.1502202806464639,0.7504123561042902,0.7491013042297765,0.6510481949502057,0.5527482087844038,0.5763209763289007,0.5679044407592965,0.6970974846641085,0.6474472536311695,0.8690864115214707,0.7826358212017082,0.6917384130650003,0.6400599113812577,0.6096852015155418,0.618841592326036,0.6042602721965088,0.5823048579045427,0.7631072279635878,0.6909687786652791,0.6854528384033912,0.7254333457123595,0.9366451685093695,1.1283551579128186,1.1142687647559737,0.8147772769323188,0.7843660280975187,0.908433114001929,0.946597386406075,0.9750331759035077,0.7250906897980267,0.7133806442608134,1.3558256284738353,0.7796978899091435,0.6918069363616677,0.8159991929988407,0.9579256055295505,1.1586712010427662,0.817975777332164,0.8975578831019458,0.8404348288371082,1.1556656156507268,0.871263935755946,0.780508162519967,1.006898750061308,0.8305653848412748,0.9332942493475357,0.7842908014955806,1.131174857173009,1.6574145690125266,1.038696891210551,1.2757969439819747,0.782973022690867,1.434786010663454,0.7763241335099207,0.8244209082183386,0.7562675942465547,0.7478459983351176,0.6974781458860083,0.7074304947770321,1.2490548378194193,0.7579883199521608,0.7105527860095858,0.590862421962276,0.625472127022717,0.721927766976801,0.6731504471070353,0.7860374071503867,0.7579087134878314,0.8533238049387208,0.8002972321103031,0.7941431758593535,0.6914671013383367,0.7668969044380973,0.717404112999701,0.6742044470201995,0.5869245672389122,0.9303486736234458,0.6341727603286944,0.6523031949292775,0.5863115405590212,0.55725605869165,0.5220181768101979,0.5152374234294361,0.6937396698274082,0.44154304230374614,0.4342267393747963,0.7588309132618543,0.37245680001250525,0.35786492709323015,0.345192127627224,0.40861056058155176,0.5686430700857066,0.5074717119334369,0.5444748999359579,0.5391762704515456,0.8003660441138823,0.696002366355531,0.6338384692756037,0.5345533368093655,0.521153692845092,0.45336821070108124,0.33611264272887753,0.4078205069770388,0.34230329417107197,0.3718678015655497,0.3454699064800277,0.4237167346246072,0.4075245682574807,0.46591414002178505,0.40190096755016613,0.5620568801367358,0.4555423983915183,0.44211061548500225,0.5941671029914404,0.5313737234675747,0.6921963265009153,0.49400360866725884,0.8020285550537496,0.7806703792511485,0.6081723013263215,0.5483287299375613,0.5262974498478078,0.542488250915801,0.5055348941962725,0.47823751631497735,0.4131894791970496,0.3861353859364832,0.4791350758349324,0.6043428075052854,0.9271638224759701,1.9276804746779606,1.2200256399121905,0.7088980006906406,0.5409480495217369,0.5311326455509486,0.5129386503821068,0.47814379131051765,0.45956092094575585,0.5066926295911922,0.48190220602711636,0.5292100136491925,0.6625881930214079,0.6185728255132332,0.5504084343105238,0.9080619902341229,0.8254111254385718,0.833722315480778,0.5419537070790786,0.47190227810356755,0.4939125206800172,0.4484338005236019,0.47150516871355663,0.5044604531221711,0.5477613279292638,0.8902709773644637,0.5677120258336409,0.6873715753788845,0.5583499919290394,0.4593629661689233,0.4499749629651746,0.46002452697859664,0.4936392744532396,0.5552441108585162,0.5907841054466173,0.8203637285970645,1.3070646248344056,0.843279892144167,0.9250886269383163,0.9242820910206718,0.7281161072207553,0.6064044378246505,0.5038032042853371,0.480468195551946,0.6444618793183056,0.4243989882212012,0.41416955856662896,0.5172253706830147,0.4281243779895272,0.4737169638356398,0.41781484758525433,0.4067730712743691,0.4667271957452568,0.4752006743642201,0.4676102899220087,0.47510517441010636,0.5807312615152926,0.5313462130906313,0.5859705995870771,0.6317927989044734,0.6723290755060081,0.7540581254488921,0.780262266929459,0.7596610953837796,0.786909113648215,0.6998621235285741,0.5754032573974491,0.6826603026709018,0.676818031497318,2.0117965118124,0.9000809956650665,1.4966481859090213,0.6943829858851185,0.6997318388299674,0.659471806477213,0.7531563902377587,0.5656428832409464,0.49279494586642986,0.6335092604702843,0.6018145307691601,0.5682044743400333,0.4890900085970786,0.8759247632298827,0.5567689481552736,0.5789696104516325,0.7956808902728387,0.4646154572194868,0.6140638841023214,0.6198531525906581,0.7224981455807302,0.8382882499696075,0.9688440813178095,0.9333346222564185,0.8363110603884889,0.7595215082718659,0.9709013202513105,0.7654094637872222,0.6801197399413577,0.9282014589085854,0.9725333519923373,0.6959885248178382,0.7942505519546069,0.9787722742265782,0.8810676826502842,0.747492306851946,0.8168761373380533,0.6944648929845194,0.6906008309306724,0.646570833212097,0.6497590194391264,0.6323794464798276,0.5416188202072089,0.5568434353877332,0.5255398637501755,0.5430395169936797,0.46076571334764627,0.48518164374068457,0.6023642680117737,0.5513362130022885,0.5042737890341576,0.5603039021119779,0.7952555883989514,0.7989604790746918,0.6738938064660279,0.8940325509383239,0.9610935763002613,0.9841621600412028,0.7247629457710133,0.6268650549049561,0.5518776685241721,0.849394610314873,0.6256800045450528,0.6723518120640405,0.6261336284128538,0.5381759694000343,0.535993173086649,0.4013748095787965,0.47301398657905935,0.39313031688025923,0.4875561304705609,0.6837297440496016,1.566301976118044,0.46609921860626724,0.5827126618537951,0.8007852832330021,0.6981531159032127,0.5189323087364731,0.7761334120850464,1.5306183001523654,3.7299531176345395,5.582372307884384,5.924089140469108],[0.6957874245155345,0.4447611213452355,0.40288591211087,0.35724116123509136,0.4051333556958517,0.39894005165359014,0.32693128130792365,0.33025123013468094,0.29312488962063143,0.2966073433930058,0.3478613486323184,0.45061206466419923,0.3877922116643972,0.37577909753527233,0.5480261930352384,0.5468609481064705,0.5398163590227846,0.5773553914441708,0.6530050599117211,0.6278288935784294,0.6877717530743809,0.6811638779892334,0.8640166015095684,1.0303098368596346,0.6614363003498677,0.6623360879752024,0.5852045498619135,0.5026398635639933,0.5376714821182607,0.5276685634514436,0.6421291663571073,0.5860873727347463,0.7888941033542347,0.6982283618084233,0.6201376511166308,0.5788039370913245,0.5553824491474041,0.5721704297985145,0.5617717397180334,0.5372194921395282,0.7379324350256926,0.6457039984053076,0.6308155967970347,0.6849977681912585,0.8994599250892434,1.1103152406411951,1.0802471780347955,0.7636415837849805,0.7478932337918579,0.879855598754791,0.8898273458951538,0.9429679034608022,0.6803381537950435,0.6714455846114321,1.3435908992954064,0.7230062997416394,0.6371975238160574,0.7680981464596368,0.9074335045041194,1.1281758511294528,0.7388838677613032,0.8072622090091726,0.7522865370695057,1.0353963647912277,0.770190045233088,0.7003933891315052,0.9309983928118988,0.7558740871620557,0.8497781219740735,0.7179434721299843,1.0700292385380776,1.6073974389973622,0.9596572519012159,1.160115735702392,0.6939170066269587,1.3517414729612467,0.6851259147126312,0.7277157875413074,0.6721331535668674,0.6881866280739716,0.6331923640363037,0.6546855591827786,1.2158760712436845,0.6997458383804822,0.6855277191991648,0.5518936297955708,0.5749508064942223,0.665409304754078,0.606295352998454,0.710490829485424,0.6765304482252515,0.7879613392622604,0.7234726314163048,0.7126482956084783,0.6363532979473541,0.7223759861415741,0.6916085971388656,0.6119321153078708,0.5266847876777155,0.8252394273491597,0.571696765866712,0.5833072794495574,0.5247651799697471,0.5006734657995754,0.4745070782985857,0.47702777998199064,0.6535868526382747,0.40501738985877156,0.39651092517996467,0.7281916723345166,0.34810146311847556,0.3429608656877584,0.3330498775875121,0.3986454412571619,0.5650406884084053,0.4909932360337541,0.5078913920340494,0.4960268388603441,0.7505267257683702,0.6613999241184376,0.5986514913140043,0.5103556594171855,0.4715139184571603,0.42199311059810446,0.3218409654090782,0.39978985948296114,0.33683164407097804,0.3657524998414693,0.3391283511612742,0.4253500955334842,0.4072569897601528,0.46417845139868413,0.3964786989391203,0.5468903650824257,0.44343900447549545,0.4287283773889186,0.5871658880905167,0.5399186332028253,0.7137368132853769,0.471739292246816,0.7476518374222325,0.7123974262175389,0.562530935706844,0.5126160258815194,0.48239052333926097,0.5211992530718582,0.4740723020204057,0.46278128214962316,0.39019883054182897,0.366665734372799,0.43887534306715553,0.565285752552377,0.8518570747152869,1.8562838848137848,1.1859444326180446,0.6356410141898748,0.48917895170470727,0.48138449578094705,0.4700706613650674,0.45461628577009944,0.4421221056222038,0.4822607758511063,0.4613223800831199,0.49715130829060084,0.6450686620279832,0.5847214487692222,0.5419993429571135,0.8840864379380791,0.8195279421999683,0.8319665764017462,0.5383419880423715,0.46404965555359234,0.48350291444365423,0.4232197684055174,0.4380429575663142,0.46260945762657407,0.5092889723322245,0.835897384005495,0.5238809050918057,0.6397975864567015,0.5424660640438196,0.4267379350391045,0.4211070076084414,0.43078883248339167,0.46685993305189066,0.5312127501277019,0.5627516618012576,0.7987009959045666,1.2747593240345736,0.8283111039187636,0.9016629022932637,0.8887579169244837,0.7181572809393075,0.6012331185641967,0.49961515763092673,0.46982427188873677,0.643140684982898,0.4210417928242285,0.404893572707005,0.5287158115758072,0.40912129057815433,0.4474979795673197,0.4050510903284976,0.3872930608066738,0.4310851610337407,0.4422837381430713,0.4568340890119852,0.44150856193015237,0.5238914715039337,0.4952806614443424,0.5535232759524451,0.5757424033319825,0.6189958858527377,0.7250790558465777,0.731990011106509,0.7186413240058325,0.7524593657941524,0.6640212777244059,0.5429893874533842,0.6248055938419664,0.6226643413760795,1.991783619344446,0.8471602089133159,1.433716660396306,0.6434525498725687,0.653031558916607,0.618110662619946,0.7207576490544874,0.5286204281533273,0.46049746413702647,0.631443760471767,0.5943336310124863,0.5429784297254014,0.4762119365759774,0.8865141170298078,0.5393352558323027,0.5693708892360757,0.7868325022573057,0.45386016416684855,0.6017461410750902,0.6071459112996075,0.6934655895815658,0.8164051897177964,0.9366538142533765,0.9178318335785303,0.8125220373609192,0.6950069927724515,0.9209174513464596,0.7167481032934118,0.6160253385770431,0.8539182410247369,0.904687121137377,0.632971922603294,0.7121218600524385,0.8818601958851746,0.8066408271045403,0.6821625705986654,0.7320029114956853,0.624419487395518,0.6161999057121773,0.575738296852355,0.581757288834346,0.5639413460570954,0.4915345226071474,0.5142022458594414,0.47764304864546614,0.5063756406727284,0.44411720480625383,0.46088477308007014,0.5848410079906196,0.5347396455008969,0.48548034086909675,0.5435309438859883,0.7867755891001338,0.7962945157485007,0.6671510416152865,0.8979404962119326,0.9752837020288297,0.9309260045097905,0.7075902968832566,0.6116956013325576,0.5434024767713397,0.8459539002024083,0.6137701240370612,0.6537992392698689,0.6279181000648735,0.5363979792448914,0.5287425941437037,0.3874420780798013,0.47243343941846516,0.3833506832050453,0.4514889937581606,0.6370287859395114,1.5183344078605874,0.4349062870209293,0.5636692502325025,0.7816695253157997,0.6475473000207059,0.5176767671409106,0.7424369511518775,1.5097222757384248,3.7254021437147187,5.554089736880467,5.880530833378114],[0.6943624697624328,0.47250530124536805,0.4536930874763771,0.39101235372592813,0.47555176984732567,0.4649653777978376,0.40857612445980124,0.43449150831270084,0.39741251690121243,0.3445580691046862,0.3959844173923425,0.5611004623366191,0.44031987962699737,0.4014504771813724,0.5794872745625093,0.6119889883774438,0.5769911950622381,0.6399851678358259,0.7378277971551906,0.7075320580546878,0.7848157370179509,0.7667784935989941,0.9675310171837063,1.1370660909525734,0.7379367485305927,0.7307799543228344,0.6767305469590243,0.5724999504227181,0.598166884577544,0.5879993717436324,0.6895544072297882,0.6535364270065391,0.8736300651655258,0.7518948996447128,0.685461486981779,0.6456949773610877,0.6281644946186161,0.6463055566613641,0.6307512100197095,0.6116329814502786,0.7689626015992459,0.7077196853808946,0.6986101250403195,0.7419666189534873,0.933888804107845,1.1211909568935643,1.083911629855955,0.8259434605453659,0.8124414852390229,0.9095341524217896,0.9699539670016175,0.9910304322893471,0.7551446893116088,0.7439968222338149,1.373571275671289,0.7967186865026515,0.7056570146918062,0.831925476999268,0.9663932008757465,1.1464694950700856,0.8130714940587646,0.871904742389652,0.8159965566202728,1.0837042459477617,0.836830325800952,0.7697965194795314,1.037835280437255,0.8381800652149886,0.9068699979254784,0.7896124266581523,1.1386995731095104,1.6999325845889013,1.0398025232414194,1.2269636087624123,0.7628464924589091,1.3734565088533528,0.7515982805737939,0.7853752916784852,0.7331464270368969,0.7444422505975887,0.696099037874357,0.7208315671928814,1.2712561658909596,0.7819739920855949,0.722198716213864,0.6142358299356522,0.642483212482451,0.7299061480310817,0.6722193065411267,0.7619439656459982,0.7338003039162901,0.8202172564359101,0.7632727437715675,0.7661027937749121,0.6848882850663962,0.7606135385056393,0.7093545651766406,0.68290654521661,0.6188190764836661,0.9462935033853016,0.6586500938120136,0.6787585654351439,0.6216690609021519,0.611682249894775,0.5697474994830796,0.5730865961036145,0.7127775450606106,0.5212721337540812,0.48564436335352096,0.7728057008012346,0.4509024926182534,0.43096051520077155,0.41610284218156046,0.43525009473661136,0.5850650228195992,0.5338785346724457,0.5621719943581618,0.555129509004779,0.8121631016521139,0.7179759223836749,0.6636198427528769,0.5565828809262513,0.5340228965445393,0.46064353710048495,0.3382989962579317,0.42628907533127935,0.423642130531741,0.4281547467944591,0.4275040433622847,0.4913746870972186,0.4716587442316096,0.5268709120097775,0.46770750713383497,0.5989611045991524,0.513115221875789,0.49157129356863816,0.6277260458945394,0.5596737068510855,0.727173155268036,0.5104321847531701,0.7552735334032551,0.7572920629523301,0.6426438614916266,0.5804786276107451,0.5583288637456555,0.56160940723482,0.5363432632754874,0.5078065244230409,0.47216867953280345,0.44139474434901776,0.5455049509577831,0.6666153521677337,0.904755338617987,1.8489881133444588,1.2862986726318613,0.7662092051147961,0.6067230395755154,0.6051351400553006,0.5743762540621028,0.5437103829371175,0.5188687563970368,0.546113421222055,0.5189431696125276,0.5601745807845492,0.6995934880811496,0.6335717608531967,0.5637972296350175,0.8403732534915553,0.761448128417999,0.7857527819256398,0.5441142942735645,0.5029630874618989,0.527652412655057,0.5022235946211262,0.5180365199261747,0.5442103152094719,0.5823376134329086,0.9055438020655303,0.5976052730272238,0.7191823868922731,0.5958529810356402,0.5254579274854199,0.5200980133482317,0.5291375219889805,0.5517843715596071,0.60453156177963,0.6148618918028393,0.8297262007367379,1.280058037224044,0.8302251488808374,0.904494858194832,0.9509773501438514,0.7664114843400618,0.6326938147961713,0.5607530759883327,0.5325358775918537,0.7005092031347635,0.490224811081569,0.4710425544562863,0.5947358612807376,0.5110866759993026,0.5568921503883242,0.5041104164061314,0.48009655152915054,0.5386149173811102,0.5513761433588351,0.5100566419872146,0.5294923080225876,0.6348277124498789,0.584876011126033,0.6191834043442781,0.6520509804281739,0.7021670065664651,0.7754320504347328,0.7584121375247628,0.7544681677494015,0.8009918207265011,0.6895684168990001,0.582350197796653,0.6807045937488482,0.6759413236582621,2.040041233392082,0.8864333554592655,1.496344805046069,0.7589385004832744,0.7659161204852009,0.7294050141161984,0.8277260059545898,0.6350140960824769,0.5634152330261706,0.6996563371507336,0.686176776633261,0.608792312363145,0.5492671742920634,0.9384737627488415,0.5877290729262973,0.6256991372390353,0.8191636638770341,0.5280387824501981,0.6854983155428432,0.7086627514674654,0.7871736044228996,0.9288004696661717,1.0333753234807808,1.0274661845945021,0.9150783281670607,0.8251963841995748,1.0565384234630297,0.8272634887611773,0.7303304450789714,0.9598989815152814,0.9980323526727009,0.7542326357208669,0.8312996640099359,0.9812481025453299,0.9013625158968733,0.7819925632574019,0.8265949054856675,0.724605944533756,0.7292624632674318,0.6935131739762147,0.6972693581870829,0.6593997159021924,0.5805602981920199,0.6105355387999177,0.560731871883196,0.5666936717311367,0.5162087121889722,0.5357876145679753,0.6084462757484219,0.5799382907796434,0.5447420755811515,0.5913268010623061,0.8162343431287113,0.8349038267967955,0.6944358460580249,0.9258668940033516,1.0055648188249369,0.9206777118906305,0.7145611921351732,0.6401735953590988,0.5765517350169259,0.8598224680789003,0.6179443987273261,0.6475797181352695,0.6415700931647281,0.5609747611278484,0.5681109166203359,0.443648586611188,0.5318894414947194,0.44817905031840477,0.5628049656004974,0.7306685400659431,1.5460212190162452,0.5355243747767358,0.6488405950171541,0.8774594435691788,0.7357885855583207,0.5957744621531699,0.8164083302606053,1.7021139322767922,3.9845236394863988,5.934867654793375,6.445941521856769],[0.8786794017315755,0.6690323613272802,0.6370269409358473,0.5399691471859095,0.5971408075983482,0.6201096756410822,0.5473723549769658,0.5318945135874599,0.5349470443123874,0.44095645480634704,0.4797596677244866,0.5927309198589162,0.4856028178249028,0.457958803927383,0.6126646476072526,0.6062731059670958,0.6071922228150776,0.6367311047957412,0.6945299418925159,0.6900634340432259,0.750494398343483,0.7366324545797616,0.9217619788150676,1.0271079588436332,0.6885949830903041,0.6883805418005027,0.6496191015525785,0.5718457225464406,0.5949378756329657,0.5824302526241825,0.657077775060003,0.6116168022509222,0.7927317931503701,0.6816940960571086,0.6270808685803461,0.6183393665262761,0.6049698997932682,0.6356509809191048,0.6265857116766929,0.6047749420775581,0.7572942327750154,0.7076000793357845,0.6876502349347422,0.7474253765895426,0.9099997677653581,1.0683965354248175,1.0272239738975542,0.8167507158606272,0.777546372334994,0.8940077883774996,0.9271298350585366,0.9818038009963989,0.7249280157469947,0.7321320615749471,1.3534789881556886,0.764343473189454,0.6853496426572451,0.7933203005796711,0.9204546849755556,1.1538793717851483,0.7696745022833521,0.815210367311881,0.7661676292719337,1.0571733807053578,0.8118302709549108,0.7586017167339052,0.9767505890796021,0.81676091261824,0.888271230315073,0.7893915495592059,1.1529961161244826,1.7047343938946782,0.9972458988213728,1.1465388378320216,0.7142299895472988,1.3064775213765236,0.7123138396427301,0.7342410925031053,0.6827609116741962,0.7194706253033304,0.6522500527431084,0.7071860616980645,1.2426527032015167,0.7622418932395887,0.7159130813265436,0.6037814807243512,0.6293005788983085,0.6968159642754949,0.6462659087249182,0.7200636132260321,0.690313919634209,0.7785728117284387,0.7187500223758294,0.6793122636290134,0.6415766892851469,0.7097578196089178,0.6978983198932105,0.6205887201668251,0.5696764517335831,0.8250541540447278,0.6079783475608024,0.6468650710042056,0.5877085323064171,0.5884448922747071,0.555184148386842,0.588082349631831,0.715541294776531,0.5645059424645478,0.5428272046934406,0.7957721216471697,0.5510729270851971,0.5121565926607426,0.5073626892663777,0.5303622711148884,0.6507503351825237,0.5742683908340648,0.5854811338086282,0.5606591871397006,0.8142749050407087,0.7348553554336535,0.6761546141818112,0.5745144338762254,0.5350675892777209,0.5003684238491165,0.4414182292470954,0.5133267165992683,0.5375993292877441,0.524512683429622,0.5249556009407035,0.5579226160466135,0.5334478563393985,0.5869683388924967,0.5205170560119068,0.6184399563249872,0.5637525652415544,0.5416984055595913,0.6589800031048972,0.6219361239653232,0.8053715122254297,0.5545333869615232,0.7393186357447107,0.708974588948235,0.6358478306286853,0.6027099746622671,0.566092098431745,0.5823849929979557,0.5591639922239258,0.5341161790586726,0.5178730055388773,0.5174613705535115,0.5816525745574055,0.7147503681352477,0.8784448406644688,1.7678279445302731,1.240578064137817,0.7039268398346483,0.5794754230732793,0.5863886345642739,0.5494875869060887,0.5628997337955737,0.546216096759586,0.5568551352053537,0.5460347686043323,0.5666883627954051,0.7041954729043847,0.6500150889491415,0.6041964098152586,0.8540008507866438,0.7995220530790214,0.8295614568123156,0.60135889011188,0.5514468304324581,0.5453539464504709,0.5226161169473106,0.5280623062098425,0.5300604031270473,0.5630944641408998,0.8503786675853207,0.5743710794324846,0.6845967437254399,0.6316862025346377,0.5233932533622506,0.5164760185435996,0.5329912493245663,0.5745367910061226,0.6213035336208426,0.6273037730614823,0.8328605798432279,1.2682187460938426,0.8413420528413662,0.9200188103126653,0.9324638180293406,0.7745153050968095,0.6593931826843825,0.6092839436709487,0.5812296411097063,0.7099373036641161,0.554408922596499,0.540495268550575,0.6756664875947508,0.6082797191412459,0.6555846798228124,0.5999383721284123,0.5728728697591551,0.6323458978825658,0.6497015401636465,0.6169312454687672,0.6255487054674794,0.7233244143769855,0.6898732418993871,0.7076640526814267,0.7392898632664403,0.7952477201446411,0.8713743915993016,0.8448611030526986,0.8217024885041581,0.8860929287530905,0.7482585891936859,0.6950849597520331,0.7526073859946097,0.7366385218590151,2.0144564448482485,0.9276425960385858,1.5217218967394357,0.820183967519327,0.819193147877573,0.7896913176361156,0.88425533589915,0.6903614963349659,0.6384749547591188,0.796748378888854,0.7455004780626319,0.6507598773631972,0.6208152321579079,0.9836392101287561,0.6371781143361636,0.6894315335841837,0.7949749497485925,0.5958388673540954,0.7412025169488297,0.7776573502573775,0.861678108166013,0.9508761670754965,1.1045400257071847,1.1028813986874826,0.9515027930602801,0.871577383896271,1.0910418951515335,0.8870605138470674,0.7946300093669165,1.0009193665002423,1.0439747017485062,0.8252898051115243,0.8962678396261051,1.0142417886831236,0.9720022134699685,0.8647579259003234,0.9044947628043223,0.8111929858791245,0.813754380161081,0.7696062273332422,0.776000279100288,0.7367480083496512,0.6833152612862557,0.6933666570065531,0.6468320830864392,0.6664442296406649,0.6058625384167219,0.6173142455385499,0.6884097999525356,0.6785544223435666,0.6316711567047254,0.6676800005850682,0.8909421012418199,0.9107121797267337,0.7972678918213842,1.0013559571612227,1.096424353762061,0.9362000075697969,0.7835804020306694,0.7186604759100675,0.7082801188171816,0.9828645453375662,0.7164194740761545,0.7363948667739453,0.7079666842835014,0.6501694398747998,0.641203025628051,0.5386049157781697,0.6102132357356506,0.5738228482994824,0.6331343699414378,0.7954247347361416,1.5112260851386514,0.6534122807116785,0.7685653587307035,1.0046740174366908,0.8132433553244995,0.7359075630553145,0.919031464713213,1.7435692741595892,3.96055478596791,5.866083141853747,6.335971543827139],[0.6931596326963496,0.4999381860368116,0.4849083450992659,0.43559546146276995,0.47219653113686894,0.47979311765008786,0.41251122904960497,0.35301285968014817,0.3627378062361486,0.35729724042951255,0.3769517765572174,0.4599677049923063,0.4092563460156142,0.4036213432851194,0.5378969791504551,0.5490759102825367,0.568762996038256,0.5881579350079357,0.6585629162863693,0.6236250900698704,0.6776993417180581,0.682550758595054,0.8457424382806803,1.0654655581521484,0.7027714900578402,0.7086923486627644,0.611876744808001,0.5378284161374353,0.5568846315598136,0.5529086154211699,0.6512317046633508,0.5816363669519836,0.7949141180382433,0.6760775976873942,0.6048507253005027,0.5880273692873059,0.5563969938590683,0.5952802012465853,0.6120203749023645,0.5724689547138815,0.7956964691280549,0.6669611644912047,0.6633451444266699,0.6969174757449171,0.9410237052111934,1.1668180406552167,1.1625279999275342,0.7893680987078597,0.7903648867971105,0.9522117273983877,0.9717623726537225,0.9590692694434052,0.70920540897316,0.7016046642944856,1.3823471444583364,0.7403527545717793,0.6681926406841752,0.8040003156822452,0.8639537739229277,1.148389623737357,0.7261343647650783,0.7879385018593198,0.7242593677693487,1.0139692223086125,0.7559748311236172,0.6848181568775472,0.8577799524970703,0.7180139396833473,0.8502260722810504,0.6907046068030201,1.0380014352534233,1.4720966250107346,0.8766231745951987,1.1307643481479788,0.6795667991650053,1.3781577333935815,0.6727498131454123,0.7033402559590269,0.6466552823650441,0.6800542324129211,0.6370008561368327,0.698295671024969,1.190467648792001,0.659058515649046,0.7574670040155749,0.5777017054917876,0.5949093354972051,0.6624924385330504,0.6031407935919502,0.680200428580541,0.6563219660815661,0.8269876847102995,0.7390994335712526,0.7134742974245972,0.633782600083333,0.7375399531477421,0.6622723698958445,0.5917040997077567,0.4995938029425258,0.7815858168016027,0.5429891353989955,0.5471063871622949,0.5102003334771632,0.482783037402619,0.48319421331778445,0.4879578632423201,0.633058537536196,0.41751846194967723,0.4001457526849768,0.7038907117289249,0.3935658293595115,0.4225382325644072,0.40261273524156027,0.45731897955608364,0.5860002752778236,0.5463404687169259,0.5543194782902553,0.552504136445801,0.7645129165553849,0.6634827586416225,0.6147658375660022,0.5715783395154983,0.5601869284437567,0.49189451919672533,0.3871657235555573,0.4646666335385062,0.40155483895405303,0.446112689160422,0.4264064611620899,0.49634582624292195,0.5082530652345045,0.544171025655235,0.4748432914512346,0.5401084257233696,0.510666652717217,0.5062031987441253,0.6373782542890466,0.5336434553168043,0.6626936277954634,0.567290817050991,0.8455945716273763,0.7969410104327357,0.5954940070699501,0.5604010346161303,0.5179443532705097,0.5598090800857917,0.5329608883971099,0.4893112531428383,0.4463497100621245,0.4242913088568188,0.426700991494267,0.5674646467870694,0.7860316318841323,1.7894822054056636,1.2386095781899067,0.6079574848280577,0.4716541668234793,0.4613462566556764,0.4634177499319529,0.4544268953735197,0.503437456200665,0.5000565145124798,0.5060516092084322,0.5413921849629294,0.6424545857578,0.6386851957575846,0.6118935943724766,0.9962468264399167,0.9065816168937644,0.8900885422787176,0.602765816374079,0.5372687363700077,0.5271599539201456,0.45145477448076193,0.45709342486251725,0.4711331409324086,0.5148425095730921,0.7878116734924476,0.5213873517488178,0.6112242390310371,0.5835757953057508,0.4405077144127143,0.4435800438897875,0.48376656089088227,0.5162806586996102,0.6144125503808423,0.6635827457814469,0.9047004336641622,1.3978051269890812,0.9472948120620845,1.0198853087475659,0.9902702656241854,0.7870637619247922,0.6542083046450786,0.566205577484087,0.5552006247274036,0.6963047084304071,0.5170152860383447,0.47180485542326583,0.6583681105848944,0.4797055931551688,0.5104285779962141,0.48115569864421337,0.4400583476400227,0.4537250845345827,0.4731809997557878,0.48442122856734493,0.45651783742378954,0.5207754500444067,0.5000927935082873,0.5510240312052223,0.5702995549953375,0.6238414811741472,0.7096690433242528,0.7395571934679522,0.7364141024144717,0.7677200802020716,0.6761510249457932,0.5574647509524739,0.6171012882899299,0.599249643524221,1.8408640317108953,0.8262332984212702,1.3937486788507174,0.6391657564386333,0.6114346340593931,0.6071971962539731,0.7155510377092582,0.5409046200868272,0.5013032653342121,0.684830491406952,0.6532942515985172,0.5627610247828146,0.5423466878063885,0.9390699890963642,0.6346306669470358,0.6589858365368914,0.7930608763930788,0.5073713131273984,0.6923124894577583,0.6833999432184414,0.7148432411627172,0.8447941408437328,0.9374173113968232,0.9586324912530266,0.8155140993450837,0.6628839932082169,0.904788551339849,0.7190807286047652,0.616249600798768,0.8290906217479724,0.9001582857975129,0.6196808001608973,0.679402806272805,0.8359171095190395,0.7804112235232565,0.6690383429964094,0.7031726834690473,0.6023250942489381,0.5917270733731621,0.563315446583796,0.5663938944108906,0.5502138483812552,0.5013682648877624,0.5306578150692627,0.48627254219367444,0.5178711788064542,0.49175355528354986,0.5164609804284616,0.6250809090585523,0.5522259749023395,0.5358143775953097,0.6052926283409851,0.8460537667133264,0.8337673685206438,0.7154019577744843,1.0375367671945643,1.0566159400461599,0.922752053719768,0.7584815401572961,0.6516472996082855,0.587055010490294,0.8848103630315807,0.6550753152063686,0.7189183946251254,0.66023759438785,0.5888845917125674,0.5789371685845267,0.4365428203151718,0.5380507963750101,0.44559114903163444,0.5144782485406134,0.6631911043670303,1.5315300341854687,0.5104549911944333,0.5831788109014474,0.7796696044101489,0.6943805746512286,0.5749074905070223,0.7432632030483173,1.3441330476419475,3.4711606381789735,5.144513405442533,5.283589437644715],[0.6310014900163491,0.45138038853367096,0.4529026704326656,0.3927198122894196,0.44937199436205083,0.4259385147390398,0.36895687750584144,0.32968363999183686,0.32763014150737013,0.32086269014338653,0.3467116705925853,0.45585459536580836,0.40133928314036366,0.40601614755394017,0.5409019450258099,0.5363993449183362,0.5698911700604701,0.5655401235023232,0.6420809651539103,0.6163561274902486,0.6553166739565269,0.6589189497431717,0.8200484147109659,1.0388111770932522,0.7126757882884204,0.7144908251069654,0.6159625230911419,0.5394608489557711,0.5472863425776261,0.5524272721891119,0.6194585494178227,0.560411101739861,0.7331485051531026,0.62868359965422,0.5681933913215333,0.5655637261247153,0.5345413836837352,0.5783238532808207,0.5935996236173164,0.5552438791131099,0.8000059600551608,0.6622313518945576,0.6524782089021025,0.6984428512213048,0.9633041037405883,1.2005753043281708,1.1973893062803656,0.8003564354698863,0.7764436427024979,0.9655047103604707,0.9431726431819668,0.983035885633632,0.7175268507651642,0.7223380807527126,1.375242960650214,0.7177500044192602,0.6530557012299322,0.7847732910242308,0.816100464294511,1.173016825147208,0.7045934748886767,0.7507765131832063,0.6949901471379266,0.9391044184110839,0.7259519251697494,0.6517526872732488,0.8097802287507941,0.6827250977130368,0.8228481115033249,0.6816165371503912,1.000105175457047,1.3369158489430497,0.8274942380113042,1.0529433569543252,0.6653432582452905,1.3381716248609201,0.6498990701593536,0.6761702569754957,0.630953171145412,0.6594950428467611,0.6176465588831219,0.6947476924788679,1.1602067519460455,0.6120570762445688,0.7515679650909481,0.550200941206851,0.5839718145329663,0.6593770859527932,0.5790641247205035,0.6256791253736957,0.6312698030163586,0.8226066402253491,0.7149179644717263,0.6694890998972847,0.5935133911529382,0.7096891051445158,0.6622241087414807,0.5605736371084464,0.4892289681785776,0.7573087770102656,0.5248011046559382,0.5229764274163355,0.48888387302811653,0.46359587938028785,0.4663279621447756,0.4751006275499506,0.604736169829791,0.4203334905031972,0.3850256800544266,0.6873711494487885,0.37478115352373953,0.4052198752370343,0.3764018769228375,0.44146640370736756,0.565919778947904,0.5347290405051636,0.5526659257887983,0.5617079083737216,0.7485928216181646,0.6585427746318769,0.6126685334875352,0.5644886241366883,0.5534127985272879,0.4699182284318346,0.36486119947897316,0.45495335667184383,0.3561357638086425,0.42314557197877356,0.4203181070834227,0.49365991005895105,0.5146521252330711,0.5385465767411648,0.4881778563077455,0.5540814742333274,0.5063295278924482,0.5087586753002831,0.6342026322866813,0.5198073097725328,0.6346452470568107,0.5816706129768868,0.8609669219787466,0.8134404029478478,0.5940434423049218,0.5539613948971239,0.5154059790138392,0.5572054415640287,0.5202333372171505,0.4838282787256493,0.4353346898335117,0.40000492725863196,0.4136230999012028,0.5847276235615423,0.7558445626794497,1.7537247081846705,1.2662643907058904,0.5910114065872719,0.4574466214441824,0.43501957654382584,0.4517307344462529,0.43889959406958723,0.5101255008607188,0.49586731373591114,0.5084540362343689,0.5370826324941192,0.6273236244463826,0.6409536180801962,0.630348169224718,1.044677791158019,0.9348156120030091,0.8977422465041959,0.6039553050361212,0.5390709613884863,0.5355616604806152,0.4581579755027218,0.45713658534143425,0.4616357248306743,0.4999238015667378,0.7413605879172708,0.5044699438614854,0.5693454832340811,0.6152688728249724,0.4387954893339104,0.455550940417826,0.5017054210164964,0.5339405102473513,0.6151922914774548,0.6676763726713358,0.9073509451657714,1.4217796187630025,0.9670458656040493,1.0488554812493167,1.0069571887569713,0.8190663868619974,0.6825228513885822,0.5853537873047502,0.5755829091548184,0.705609584236094,0.5441691290953449,0.4893989538915864,0.6835937280105739,0.4804132041099497,0.5101506243160933,0.48074251864649353,0.4310106790522801,0.44174821560821154,0.46314692157864595,0.45563956504465963,0.425159528764005,0.49218872801230473,0.4666559658996197,0.5142410511876266,0.5338252014200578,0.5973552710358375,0.6831394301362921,0.7106639044365202,0.7195007300973429,0.6985247817131174,0.6334787031149255,0.5176893335023515,0.5656563903232098,0.5338367674242742,1.7472553057204248,0.7758731785442824,1.3736506716908155,0.6257110202846051,0.5963658346647913,0.5937312187474884,0.7012542433218637,0.5480889233124416,0.5022873874914643,0.6881639742211909,0.6756333554774737,0.5710062305868265,0.5562101309523231,0.947365608635186,0.6649886019754591,0.666308171335697,0.8228530175349296,0.5167515231747654,0.7227587920853926,0.6974760306156869,0.725353304989114,0.8653891878747156,0.9108867869445083,0.967713343302187,0.8149915727300004,0.6474521603203718,0.8870717235959397,0.7183535451721689,0.5917413547720235,0.8011632339479368,0.8914941982617173,0.604221917360148,0.6468711495840654,0.8129184099219741,0.7849998391640268,0.6332898577270014,0.6575193900729424,0.5589038987414299,0.5530029289415692,0.5346062138132777,0.5327009771399474,0.5040395516598195,0.4592333186907658,0.4966843746324822,0.4445890847609966,0.4712781977308326,0.4655142442463612,0.48208185789136565,0.6023864587298206,0.5272508824066524,0.544918173459671,0.6101068919520984,0.8715318918859957,0.8345025363830922,0.6904676434179908,1.064532441660519,1.0558614133513053,0.8919842926310277,0.7309538297496309,0.6274712809359505,0.5449322197669755,0.8636635090246371,0.6051320715228461,0.6822142581245529,0.6398970196775211,0.5851666619226766,0.5678309918919573,0.44191154753924416,0.5303754063042866,0.41357417438716226,0.5132029384689214,0.6532546718805644,1.5116865213036217,0.5084869484292983,0.5512310753655348,0.7493138689434016,0.724034514996873,0.5353143372992172,0.710810415456986,1.2654008986137328,3.340342507464653,4.8642935192220165,4.87170081818769],[0.6098768684948583,0.44228971242328374,0.4669403805789665,0.40702879641055933,0.49623907388921434,0.421349801396402,0.4506742837549068,0.474165947291035,0.46090332152992614,0.5342020916599869,0.6102925361883768,0.6890422570113003,0.6877031699394965,0.6753286402035475,0.8588139354834907,0.8370862959017183,0.8235081728566268,0.8159531286409835,0.8375089575308442,0.8156488761011126,0.8456805035204087,0.844691760298847,0.9680253016474423,1.1624822340277028,0.9018586803820693,0.9023579014024409,0.8333545539256857,0.7658051477495494,0.7966806138964587,0.8140551235743824,0.9192413080703096,0.8620491684110685,1.0349755137189747,0.947550925516045,0.8866703872440198,0.8563055961634517,0.817564595982386,0.8217217491672467,0.8185134778144194,0.7907816758667215,0.9655366166617434,0.8819530354515333,0.8894634562808922,0.9152170273780744,1.1466366018351428,1.3390590075367574,1.3861104785393874,0.9922712641558323,0.9456844238560624,1.169863584071688,1.1161120033102896,1.183857680072706,0.9068962451561212,0.9116109780219009,1.392427753687244,0.899188362167819,0.8658355730404668,0.9896293255246339,0.980644306971925,1.391981093973271,0.9134925055743447,0.9758450102983909,0.9577960463431359,1.1005683576995746,0.9274628771144209,0.8721132998340837,0.9217922491210097,0.8687925474416608,0.9741100005156017,0.8974855511481052,1.0560667848157637,1.1903642281884672,0.9390602771153094,1.1862652653335617,0.9134465661261958,1.5377756532189921,0.887383706530173,0.9153958393602534,0.8831082281755629,0.9140469572460659,0.8974041682272011,0.9256939610482642,1.2599007369382427,0.8121219532360422,0.9596733635813409,0.789823620445219,0.8612356587624186,0.9225391911317321,0.8655945601373742,0.9358699452517908,0.9211990148570267,1.097649077186345,1.0454854977464063,1.0210026066949087,0.9311698328649748,1.0431136731423096,0.9836660581900694,0.8981299038879975,0.8054447329150972,0.9384337471182764,0.81010628466232,0.7353480191333293,0.7584404789419094,0.6691117376678893,0.6781683049846036,0.6673424896477903,0.7307469813119106,0.6179228368103865,0.5468755402124819,0.7939084657123807,0.5313344603673202,0.5800321335747864,0.5457554940363067,0.5844662597146616,0.6629887305080707,0.6738253889376428,0.7421502292176471,0.7409384721927709,0.9161237322739163,0.840835242301262,0.7849083763573604,0.7288101330039077,0.689142448662056,0.5934132384409874,0.47600662421556,0.5349006604865706,0.4518851548366604,0.5501943815406839,0.57930501203104,0.6812158553095412,0.6834742980000048,0.6910907882579175,0.6619593720567545,0.7205420105391191,0.6599002012207483,0.6635748889135311,0.7829987886579357,0.6349229543773721,0.6820570625207973,0.741075842912743,0.9885899976177706,1.0191187248043792,0.7794859608156135,0.7072245906340212,0.7154082410170678,0.7711799789852916,0.7277639481654309,0.6901562283201307,0.639672941616569,0.6037970331063598,0.6080010803207659,0.7228063557594799,0.8036088533464415,1.6811730492991852,1.3265457773190774,0.7750146232804227,0.705186185982261,0.6490173077530846,0.7116189044412928,0.6466041408616777,0.6963038137172939,0.7308147092043015,0.7081510138855448,0.7366165381798466,0.7982359732096831,0.8160020886141488,0.8152587129720559,1.2348980323146095,1.0854807748950268,0.9989766916609809,0.729706321777437,0.7013599671908298,0.7119094799985811,0.6771834399026958,0.6977281578119061,0.6975458976821268,0.7254282451279425,0.8943012720978657,0.732496495042359,0.7606254028189059,0.8240828953152111,0.6582922882011628,0.6733395458811857,0.72831751843595,0.7226897442290716,0.7895011335135375,0.8503748770711509,1.060019839238278,1.526206422138505,1.0892632381320089,1.1957136432520765,1.1935889695334252,0.9885630397090392,0.8511988971095283,0.7637729087662862,0.7727045096672563,0.8507076799106008,0.7293087599214466,0.6379495867849452,0.8363212620076046,0.61257870310944,0.6327536703976042,0.6090688463274341,0.5282756190535463,0.5210796123017495,0.5340602513529176,0.5427389048420374,0.48907007419038834,0.521155863507981,0.49478319193801334,0.5280193047590209,0.557447083918599,0.6240180960316767,0.6939483369726805,0.7648656744255063,0.8065103300311728,0.7062916403282313,0.6997848448373618,0.5606306689044852,0.5924887313514675,0.5612401024100255,1.6068666198585433,0.7977137259183747,1.3738191449435055,0.6973827584916789,0.6850511103857619,0.6983759663118883,0.8152820686301658,0.6550398372634599,0.606885162640539,0.7758160669828034,0.7930221157643541,0.6905618111000269,0.6912861316763259,1.045277544705514,0.8046982447912245,0.7684031512799696,0.957980179422894,0.6323712868769108,0.8825014513746191,0.8180850267726322,0.8378448059203875,0.9833901960761775,0.988048014871546,1.0764997018207254,0.9151317316096844,0.7495887561278433,0.9322395768503497,0.8145987161496471,0.6554515289325324,0.8247232094458663,0.924139965928137,0.6340135660761221,0.6484526478727902,0.8036417016804368,0.7954792329133664,0.6231091488489926,0.6375496034396446,0.568195090841332,0.5704236891316977,0.5869212017232893,0.5896816134081965,0.5476902945040351,0.5124267439519139,0.5652803803526965,0.5188262705728273,0.5336890185281438,0.5583731138073341,0.5828162773289389,0.6863134514103594,0.5882016071553716,0.66260934947204,0.7495977089797754,1.0025545382319794,0.9437104944730011,0.7740202711909773,1.1939196293641796,1.135069822535215,0.9434218177140095,0.8139930501603073,0.7107664388182448,0.6078579928691864,0.9163384579683225,0.6406119113800448,0.7156720460652248,0.6784694643436491,0.6547360298382207,0.63943483273556,0.5849917800637218,0.6483019788264366,0.49055079176233674,0.6223894814224139,0.6972890240980741,1.515665864197529,0.5794618436434066,0.5530727753347204,0.7180204916565177,0.7544116605943654,0.520395751315739,0.6866630991490524,1.1348280383710727,3.0812206171639125,4.414765957483134,4.297785674737541],[0.621834619771558,0.41574394004040105,0.41754269484249046,0.35007643365205016,0.4156162677101404,0.3858487337234053,0.33072568427650295,0.33040464720032636,0.337517200093726,0.34157156710000725,0.35922906055718395,0.43506724273742237,0.3988976990494758,0.41873415928691177,0.5394618836662118,0.5286479379484904,0.5684904173645378,0.5635436103890383,0.6602683136859686,0.6191296411785387,0.6792688637791007,0.6906084181400506,0.833308361565658,1.0751645488135708,0.7776130699989473,0.7652246078548186,0.6539332034362412,0.5582838947752256,0.5484171070845034,0.5423097641580018,0.6280249049786609,0.5546025490031242,0.7345706754198723,0.6502927124892135,0.5707402838921584,0.5653257818628952,0.5259041588166756,0.5799554751138746,0.5868860670617968,0.5653723347169473,0.8193357206382792,0.6888781138380213,0.6843277989213723,0.7265321457240353,1.03342105804915,1.2483773134928837,1.2960235578674941,0.8501687616498645,0.7690248183993739,1.018968845389765,0.9223685607704095,1.0258847242406735,0.7145589151904361,0.7118633528858825,1.326667170051822,0.7088098201338645,0.6834642082443124,0.7929527587625137,0.804903961139705,1.271105898941548,0.7437108760892363,0.7861586590932016,0.7286215176456904,0.9597455201471463,0.7564812536245294,0.6745837652571992,0.7814372004071408,0.6657346527459328,0.8429964966928238,0.6941781957836091,0.9683956518590573,1.1782917085300557,0.8075567121277879,1.0791725542106927,0.6860643601761371,1.3626392716258322,0.6646939090314078,0.6841684490567834,0.6366838811776445,0.673809036339806,0.6221775679523434,0.6773755201574215,1.1777965392099845,0.5780486467486827,0.7608277327038537,0.5419038153472377,0.5931992454061481,0.6325486723265623,0.5925885743107139,0.6481077828116653,0.6524705486788795,0.854050260643486,0.746564807604814,0.6922224860392553,0.6067155821152436,0.7301111083179023,0.6744202787797269,0.5630552857530762,0.48167341125472907,0.7589755614099639,0.5133585051815651,0.5205699928691621,0.4804588979434616,0.4538227647229147,0.49389567777438004,0.4576861341981867,0.606094241305872,0.40460891162954693,0.3823557712470058,0.721896478260615,0.3591770113443638,0.37195516024289216,0.34822655767875615,0.44276838974809096,0.5611031374110645,0.5272983175640863,0.5472684847573136,0.5935280414954756,0.7788627352242083,0.6423214351677323,0.6208731225386761,0.5657685263347881,0.5570035605758312,0.45805831515219886,0.379057589501884,0.4581654914487436,0.336054097425605,0.3876211672325537,0.398970456633703,0.46992757274640745,0.4986800615074449,0.5216374825289707,0.4775299351230914,0.5344044682284053,0.4904077024740337,0.4950476752168339,0.6147956310437453,0.5280639758264062,0.5974298160468129,0.5920421786423036,0.9095562809500687,0.8876908281122389,0.6248830321639365,0.5631210530408445,0.5385794407594381,0.5720032444029491,0.5065642382732451,0.4901231784163035,0.4049732827200195,0.387818239945198,0.40858110433292133,0.5900601086684438,0.8040917022223429,1.7986034418218313,1.2525114419541077,0.5764726386248749,0.4480290799345352,0.4239252880703725,0.4404689826603858,0.40631570070637063,0.49024639933308023,0.4996402278240096,0.530091097292988,0.5378912441333795,0.6266276452111441,0.6508249446541372,0.6713761115924282,1.1366082778194262,1.0189748294292653,0.9391753095736436,0.6409139760008216,0.5604438440279463,0.558642434923372,0.4497172504737909,0.4532029848820638,0.4542899789459154,0.4974079540247166,0.7213715807426887,0.5079309334073943,0.5351704920982651,0.6344832745991518,0.4214942099757094,0.44132440428770314,0.4920388787164435,0.5252407598345528,0.6173753870267691,0.6762569127377726,0.9228639471493034,1.4519089979637967,1.0280998421713998,1.1165962626789367,0.9908898588890301,0.8239017110733373,0.7248962502859996,0.6183621368073736,0.6122163324403136,0.7132581359718241,0.5446959432217198,0.4860943225502083,0.6695315399444872,0.45319901697872833,0.47151635255562035,0.4641916342152084,0.4220602826470999,0.4295214786298246,0.45741336538396155,0.4673089902934415,0.4592109871557671,0.5259084316043275,0.5017807341248587,0.5504041941415398,0.6044214394368013,0.6554154001589247,0.7107822448856992,0.8092931064484151,0.8198317309396642,0.7812966064835177,0.7194879504361602,0.5761591410932775,0.6402612706454086,0.6110869953723566,1.649958559692647,0.8477868817953307,1.4283241380229672,0.6539722821675805,0.6050969668546284,0.5999267762666545,0.6366823962557626,0.5409850671680032,0.4655050448615195,0.6279352745073324,0.5917417629819772,0.5668742153907897,0.5355217458535628,0.89632326380238,0.7105866984576449,0.6726899958360055,0.8538437119268506,0.5025178520489143,0.6913170203036957,0.620353931320224,0.6710331060778139,0.793419450554213,0.8747694780897461,0.9108425501530253,0.7592361724647293,0.6421010623687309,0.8310008077605496,0.7050749317234274,0.5975607676261411,0.8013737635901544,0.9140494176032402,0.620630673538551,0.6602580554389988,0.8412614606747365,0.8321432974057625,0.660625190822073,0.6947462857538532,0.6087274468971937,0.5775917036100469,0.5352113346763947,0.5259678322505619,0.5473251969073571,0.4866214677880386,0.4783828689954032,0.47535636330857794,0.5129084258946885,0.4773465681351397,0.4919650684721841,0.6658352613226314,0.5588484889917301,0.5700391777118882,0.6504091196552592,0.9404433573756474,0.8783400228741518,0.725189097558804,1.0859543501611526,1.037600798372258,1.030292325101338,0.7781032956043338,0.6629659551346812,0.5584101061794309,0.8396912455145304,0.6421301726409047,0.7347836608752601,0.6565292175856124,0.5970661031107511,0.5738167707989001,0.458972196542143,0.5042467887837347,0.4121583386019581,0.498308741906454,0.6404613680733088,1.5378521800612566,0.5084716731837965,0.5211676221679203,0.7092392675406192,0.7141523471839589,0.5016325874040467,0.7199144741451596,1.1027329978104252,2.931518446191843,4.212596490922687,3.975039854052771],[0.6250754201079434,0.5250166216710401,0.5307310235864477,0.49182672135065025,0.568267704228554,0.48769917158339615,0.4660406963445948,0.42775983793054045,0.44145799907518063,0.4689835976804569,0.47072932909709175,0.5113230335155836,0.5142157860218174,0.5373636538434553,0.6167433662093437,0.5912742597019679,0.6377014772529723,0.619555020117899,0.7012623167894472,0.6941494213950204,0.7334004286283686,0.7513842470288775,0.8637565258502995,1.0956834160855102,0.8647396780189978,0.8429837342679342,0.7681395865240246,0.6509767341657493,0.6270977521665063,0.6144529507201253,0.6523413428728645,0.6135326967581087,0.7304274946312789,0.6810885948213518,0.6163895471181522,0.6321412234774851,0.6248607212223043,0.6586187674816734,0.684748463954757,0.674856899779153,0.9195119387503501,0.7955596044139217,0.7675610881254075,0.8026814592287862,1.1463788253515053,1.3417486287776734,1.451068805411181,0.9549996654455438,0.8459404184005139,1.1338443029204917,0.9875622794861048,1.127663657383749,0.8221697102287822,0.8160150892266989,1.3131250228462819,0.7437250067433354,0.7488284158219255,0.8395599930296744,0.7847558938382179,1.3962801719667184,0.7816585599686735,0.8167437981920881,0.7421002708614793,0.9604387441438534,0.79230055397398,0.7090383663471371,0.7625928390652147,0.6959086752655484,0.8312021587778785,0.7588981683422588,0.8717304945793627,0.9912294853664497,0.8080728012910486,1.0202415898738024,0.7445420828350755,1.3767083472161443,0.7213068855845548,0.7199976192263919,0.6834189811151781,0.701844454190402,0.6880384325046376,0.7762322986829282,1.1233462723349807,0.6494764300717302,0.8710441926680047,0.6380141760838041,0.6801802175413888,0.6889238403268146,0.6533026271198498,0.6901309988215426,0.6946145907751355,0.9155978407998333,0.7926550808302348,0.7139366930820037,0.643970732542507,0.7740924569323995,0.740031098538027,0.600847819126568,0.5664596366314768,0.7687311385348443,0.6028223702395769,0.5776162548792014,0.5813690692514242,0.5651411222716436,0.6246025453007116,0.6083762036966495,0.7188612323011863,0.5514346946830887,0.5394686348537817,0.7992840775101564,0.5316442753599924,0.5451466142457866,0.5089692216138567,0.5414278684503582,0.5923741062330382,0.6717888350568951,0.6381785606490578,0.7072866696670043,0.8524620163648593,0.6872920614500665,0.6816641953920478,0.6549604846620608,0.6834608363209791,0.5876349034181227,0.49562285057358363,0.5580144730308788,0.5006026914380021,0.5355684270694028,0.5918816192377454,0.6698926246240603,0.7200664648000972,0.7194374042303754,0.6599033010600042,0.6609658769229559,0.6662045803642955,0.6741655002550551,0.7765042058207501,0.656271643443711,0.69662653811006,0.7698405324825532,1.0366015694136614,1.028760419192634,0.7253635918167122,0.6756012966994169,0.6401021083842495,0.6618523817601918,0.6159333645668759,0.5828733063234475,0.547422256109266,0.4923990685321959,0.5206988938590847,0.632308398617557,0.8296815548752029,1.7466833506419022,1.2753019372017984,0.6223549759246247,0.5501454409548118,0.5281512085745572,0.5532927916754911,0.5309804785480937,0.594344306352086,0.6058928892362232,0.6466709493914892,0.6498008922033883,0.7223234459097386,0.7617154565419101,0.8110993909650835,1.274274657328575,1.1716168196401076,1.0407455574103603,0.7766185965305894,0.6980492870866494,0.6863829646275156,0.6113784380658437,0.5894956176606747,0.5679414285106988,0.6130994451705375,0.7432831191429322,0.6141136774493747,0.6275080168680056,0.8125958381917087,0.5836432683419517,0.618337157627721,0.6674739221839874,0.6673283440520574,0.7557454519449048,0.8129015502074213,1.0350607695981098,1.5405761461595529,1.1594673550860335,1.2395961297284428,1.1168911714013297,0.9578025829050795,0.8885929300216132,0.8076431833654906,0.8382145949163857,0.9212494604031775,0.7985720946719735,0.7254600972772626,0.9001449519282044,0.6680135466146215,0.667355030741874,0.6726295184345416,0.6118742442535904,0.6005703953838427,0.6244794955893584,0.6268881917772107,0.5909587387535216,0.6268417303408726,0.6120844104185282,0.6218889245535906,0.6701807485694686,0.7150611494167266,0.740142590704343,0.8637551946361088,0.8919005683549163,0.8131216993337472,0.7822214206184731,0.6598656847547026,0.6906045383485264,0.6816288509717137,1.4704808216470526,0.9075768429437852,1.469481929619895,0.7757643255536533,0.6979766564342896,0.7038658269287882,0.7550183170570743,0.7173049352635306,0.6413551757201056,0.7658212453157018,0.7683573511311541,0.7688854360599093,0.7457790178975096,1.0308446451489963,0.9323500242989805,0.8828358205584295,1.0165670795186095,0.717526369289526,0.9245340518485752,0.7875086635728947,0.7656988198030446,0.8913091519157411,0.8899916979384828,0.972750378001079,0.8478014542674811,0.7346810005969735,0.8779516658122032,0.8019677226149006,0.6861351416156527,0.8116099191804447,0.9296056256883455,0.6737827565940189,0.6781794830551842,0.817023948398836,0.8389683152073784,0.6841613407300527,0.6967484907744319,0.6557841114131873,0.6364047065713143,0.6445387644618401,0.6623360577659498,0.6271920416975881,0.6270314012699595,0.6566393512987498,0.6238791700411619,0.6373970892137163,0.6445916886524361,0.6809862119669645,0.8106140229848375,0.6980739619544863,0.7698065440778955,0.8818201015374426,1.1294777694667546,1.0444583857130962,0.8692424853469146,1.2313233374477832,1.1170978097684086,1.1132571788273422,0.8512656819590593,0.7381412293553687,0.6593754094349845,0.8689595873448094,0.7231887290692901,0.8274329962654252,0.8082430127191567,0.7942275716821926,0.7301597371422983,0.6819613131684275,0.6955267877206961,0.606533420040772,0.6696596011209774,0.7325045313498179,1.498200037954896,0.6615176628167848,0.6017860275126904,0.6798500482388273,0.8181128674650212,0.5529489255680277,0.7174338866612596,1.0004824673926473,2.4067816573939864,3.360558456719375,2.9435593218134777],[0.5958516368169047,0.4191659281990664,0.4035834724261979,0.3386363550403972,0.4191736065627315,0.4115090791070861,0.32897710957501825,0.3777266872679422,0.38266399068942364,0.3403396448271487,0.35502432234800063,0.4583398385338884,0.376556717941496,0.4095764963781831,0.49115091646380504,0.4648605222363776,0.5069213269362659,0.5004163092772423,0.5859016998855163,0.556802193689271,0.614942734101953,0.6336955821583707,0.7891990633783063,1.028153903837787,0.7361291967726582,0.7209626770092058,0.608953220135137,0.4943189628964559,0.4851514508331238,0.4745050741273405,0.5680654319299274,0.5010674676606106,0.678242035844449,0.5948953725635282,0.5036227957678078,0.49498353507849047,0.4649972792516039,0.5212934270108229,0.5213418013486675,0.5151593483019918,0.8068026567159323,0.6734839027545477,0.6510653441152506,0.6842178896366533,1.0354845999864977,1.2658493171259768,1.3366397850891785,0.8200004976571187,0.7283596347488763,0.9997422996783824,0.8408313590447427,0.9814709579950179,0.6689681416466812,0.6735584452710588,1.3085142605304572,0.6475724500925781,0.6430891174124542,0.7281455253858506,0.7316208317596596,1.2871607015622235,0.6943334036557094,0.7260037702266204,0.6580289818031456,0.8816271294165722,0.7019941779772363,0.602694549520581,0.7082540421570444,0.5905472223619388,0.7606917633730487,0.6381265770050423,0.8755747238487406,1.0926677222488985,0.7500141216316283,1.0101910470208737,0.6401774244203446,1.3095357133007326,0.6057979682884319,0.6356563429351871,0.5778714833557295,0.5944804753525466,0.5392050735541413,0.6106831136902253,1.1165226227263303,0.5291839383790398,0.6960675033409072,0.4875487848739752,0.5369491908708911,0.5855941673961629,0.5261743527582,0.615442353574754,0.5991596962130006,0.8570870885011606,0.726122430552757,0.6375269788140726,0.5606350950634191,0.6819063095071578,0.6492364094694922,0.5235956747367231,0.4721183684265478,0.7673521611160298,0.5036206052229221,0.5580594523103442,0.44756054189365946,0.4529036772636075,0.5136089902665897,0.47649267852528043,0.656284140883415,0.40445674167242196,0.3965813266409265,0.6919502483436872,0.38159141206805214,0.37834662855504436,0.32561274261694634,0.41094457987695593,0.49035818164930384,0.5000152171540743,0.4806199779422784,0.5555925933965421,0.746180211723773,0.5756976164261872,0.5682831170845173,0.5162859200332532,0.5302385535038382,0.41517716610010597,0.3862900176949765,0.461580418535419,0.3540082145046985,0.4022187805399669,0.4160773016934117,0.4638698043678888,0.5091855056340592,0.5463260428452688,0.4786369442913548,0.5039319449452846,0.48422357883087047,0.487264899951854,0.6146295864896812,0.5458872417311283,0.5825947621111703,0.5812005010569833,0.8999593872612773,0.8860513678168995,0.5835046139243173,0.5374575668113153,0.4879753758389364,0.52429295470912,0.45875761913700824,0.4479762169477863,0.3801767031042343,0.4043431411483532,0.46712848675254226,0.6414377449200809,0.9173822823801077,1.8336948387150922,1.199630776178365,0.6028800033282256,0.47256494458678566,0.4675180086995853,0.4184498649920163,0.4088146641391362,0.4480361748873035,0.4562886556623992,0.49661069584190587,0.487392695137688,0.5846917306116898,0.6202632506905351,0.7257151372157574,1.228064691161944,1.1229515900344285,1.0004931908974657,0.6854918373491332,0.5590036225899833,0.5621656143679014,0.4400580233093839,0.4208647980710113,0.43706760580967396,0.4732875342697282,0.6724567773868207,0.4695103662575772,0.4917975740223665,0.6695845071549605,0.42130543904987766,0.4573008810522623,0.4962103035292885,0.5199716951412559,0.6251192646857818,0.6747038783531362,0.911028424188394,1.4782974783108749,1.0961373266410084,1.184439343044703,0.948818896229178,0.8508535676585282,0.7587163366950821,0.638261904709302,0.6648795311722933,0.7488657695769411,0.567621805971509,0.5220219160827146,0.6920385401607908,0.46226994841264063,0.4877116706903917,0.47665005914240594,0.44879284966792277,0.46222065250541533,0.48923185149034787,0.4933042537883584,0.5063223052905187,0.5863947859244708,0.5554691240075229,0.5964621042886571,0.6770130142421753,0.7285116287206412,0.746871686612011,0.8954405605139872,0.8775992651330856,0.8471709640677778,0.7970166898277732,0.6458434121918836,0.7204209751837148,0.7070428836222016,1.5652100680783907,0.951923581447863,1.4713908910918048,0.6800704665756121,0.6318822181002828,0.6263992060551926,0.6114652541279049,0.6050143256990621,0.5015459769966668,0.6451109164796207,0.6343974404313786,0.6626998790605864,0.6070245276591896,0.8810830614034172,0.7694733935348771,0.7475923423220838,0.8892371302054024,0.552350224646671,0.6910780345745838,0.5845150879347571,0.6621728183729262,0.7688201177896025,0.8194320630586465,0.8681832190485149,0.7361604504808728,0.6380006946268354,0.798312033988168,0.6901395715541357,0.6116857828774587,0.8024179062546294,0.9326237789881818,0.6673924990130615,0.7067088108826813,0.8843822752409098,0.8976449982612894,0.7341146503383037,0.7686733037521023,0.6869280334842901,0.6466425156211795,0.5746780271748465,0.5664879974778253,0.6178118484864014,0.5559189944154399,0.5232556914084212,0.5423271137333817,0.5772749541580078,0.5234042446209303,0.5342042542011096,0.7297296173078397,0.6101148888506516,0.6211243157838062,0.6995562794044703,0.9937708036651466,0.9091983005776659,0.7687142227813796,1.0534096683916814,1.005672657511508,1.126593690870555,0.7949365411508786,0.6846732537313852,0.5838520166199092,0.7839805327542239,0.6490508778794534,0.7765421224589071,0.6723626164498077,0.6416200378793381,0.6054873613333496,0.482655649491221,0.4750982846265667,0.4495795444138383,0.49977556052273475,0.6171611083598355,1.4735717152065027,0.5256762435145862,0.5198652903369927,0.6560223337655208,0.7303070710099847,0.4847762290954201,0.7307363095549126,1.0032667922603262,2.3380950125872046,3.2980271598348287,2.9083302205125783],[0.5654922766894693,0.4639997478368315,0.43768353346155703,0.41004592265014983,0.4655796594685635,0.40151962817481046,0.32493971618680545,0.36366445933137703,0.39501216278422246,0.3635749230338107,0.36927464199654225,0.44836666146104986,0.38950198738726816,0.42736328456138484,0.5312477411398264,0.4717241849442473,0.5298949271098055,0.5007426611669468,0.5947067019021168,0.574810433275059,0.6473219237613069,0.6794052711773827,0.8113425944870778,0.9944171136509978,0.8026322495430626,0.7570718585883789,0.6702015758236064,0.5263877303329476,0.5022111190437543,0.490244799049087,0.5753390942054151,0.48886631888586163,0.6126754286732751,0.5853007883925145,0.5045271528691389,0.5279767633910494,0.49482485366144624,0.5470816156476834,0.5436433778178744,0.5627703035924291,0.8676066414737547,0.7269121435089323,0.6855385912026102,0.7262315329853529,1.1026460714567108,1.333362425390368,1.4624645706484753,0.8882503310473712,0.7631227425273486,1.0693477951580146,0.8720712832359641,1.024286692333639,0.7167138661411414,0.7113465029016578,1.2790849916843592,0.6655996988112649,0.6961816855797419,0.7532210425341629,0.7443001761139445,1.3941507006620273,0.743359438086727,0.7436949180207965,0.6620978298226168,0.8839876549611699,0.728684838674551,0.6298847625519048,0.711113496058647,0.5928518144854115,0.741850235835058,0.6881884836238994,0.8596872305185501,1.015812658192904,0.7481933037846338,0.9872877638465752,0.6539509800191357,1.30235571243155,0.5983815773224943,0.6188159483809966,0.5781231282991081,0.6090952958414153,0.5712394593258285,0.6234282638057317,1.0733415221034524,0.5239506010891851,0.7462631302440401,0.5005515656798779,0.5593073575249305,0.5948312998566996,0.5400506996088003,0.5971480365197153,0.6007385465637138,0.8703766773358441,0.7537847984578384,0.6355153642978906,0.5642340479639729,0.6863746771391315,0.6653194584631258,0.5150381452012331,0.4552527542208039,0.6856790758083713,0.46375176836403315,0.5142512924181051,0.40802606370319,0.42519370751814833,0.5567113077657858,0.48631829246274494,0.6539544643511855,0.47429231884311096,0.47579708909321916,0.7343523950379544,0.4372138143613642,0.4106273021016083,0.35909811500305844,0.42173696822475876,0.4655236110014432,0.5161001512590329,0.49923916173251925,0.5740829859911951,0.70430462408283,0.5339512486232707,0.5346158750223033,0.5005169536488516,0.5267328510544103,0.41380469719090435,0.40484866120022184,0.4819802292446381,0.39153386179893207,0.4530886121657918,0.4984261008459794,0.5320425804987287,0.6212962266992197,0.631019412943738,0.5790044642574129,0.5675376859725032,0.5493124212432694,0.5413129614307656,0.6954597321597792,0.6005686656198179,0.6200131745639439,0.6506007569618737,0.9435936386095328,0.9604984821841684,0.5982189463212456,0.5439924958525201,0.5070329473193234,0.5343351948167405,0.46081535629123405,0.4657694056499463,0.36475719770780185,0.4099757848783346,0.46576067977852975,0.5934866349847348,0.8376674826109078,1.7121033084282882,1.1846832431574472,0.5493868771856064,0.43364077960608505,0.4301090840334242,0.40620551215213413,0.3751269807253732,0.4604536051296717,0.462769754690878,0.5209556630290865,0.5054124515169637,0.6075624172030815,0.7055205501269165,0.8297353233613219,1.3348917856683353,1.2441696237612836,1.0683515313155565,0.7612381512307176,0.618099115716223,0.5979996018775108,0.4604475874441584,0.4255048882390821,0.4324552912187576,0.4657902254214881,0.6025569515750652,0.48059494474233144,0.455196866927294,0.6929597268430178,0.42117035173611983,0.490821918798189,0.5790290342527151,0.595914260599491,0.6919621215943347,0.7380347437777851,0.9651388593167252,1.5635871395902634,1.1924819843788355,1.2986334435428584,1.0059888819489782,0.9256499949443634,0.8571691382270552,0.7668068179088585,0.8321223559948171,0.8626007406641603,0.6999790377669707,0.6579449850003969,0.813701979864697,0.5986788390642696,0.6055274060338819,0.6076632781210535,0.5868776980255203,0.574952134266006,0.5884168654665827,0.6184479328656184,0.6188823538410874,0.6627521047972016,0.656053502552418,0.6896202127341171,0.7667565005746917,0.80806847269599,0.8386912585582814,0.9900469318587731,0.9842302229283711,0.9308768974881594,0.8955736194494127,0.752589915058382,0.7969918893685293,0.7733188511761664,1.4482802006553694,0.9843554039541442,1.4871885093452577,0.7673901725268817,0.6903142447749472,0.6662502463627809,0.6776655696271054,0.7126265828655666,0.6051227973914802,0.7273872379823865,0.7517090651949795,0.7762703911728321,0.7238805138718031,0.964979381250122,0.9250084047664938,0.8679063993231644,0.9773781285689244,0.6813421985742312,0.8109287037765934,0.660149462821932,0.6796379674964614,0.7777384514824055,0.877957535409311,0.9210814091344761,0.767057874272952,0.7085373355670979,0.8033581473900678,0.7558606469895062,0.6811757611871437,0.8330582018175539,0.9776795673901792,0.7405005177106011,0.7551812003240743,0.8965984346679489,0.9390252131278956,0.7781534419414693,0.7957046896825574,0.748010411251158,0.7091906929758017,0.6463212231800524,0.6468489625678934,0.7122377331252366,0.6531769005477733,0.6171672552107543,0.6613771794138432,0.6930010536520924,0.6439108534068714,0.6776174781518515,0.840043402005582,0.7234864686250214,0.7924229833494388,0.8851334862178467,1.1287805326293896,1.0289852412621103,0.8891883714549043,1.2252548178517737,1.1177936215698854,1.2180160565238862,0.9077467878959993,0.7993414548964658,0.7102341746342037,0.8521982577205428,0.7440322263232254,0.8775226366476648,0.7752957268776325,0.747657344387704,0.6920171647667384,0.6068847732810676,0.5739487822705195,0.5795337267362549,0.6084522499054743,0.6764394869766371,1.4499751200075213,0.6090566550315506,0.5322321077767039,0.560844652027996,0.7885904965104569,0.47521586325396925,0.7155146579918297,0.9850213266653025,1.9093574937010334,2.613388068327826,2.311596772856267],[0.7346708770435113,0.6140110062617924,0.6182221893240756,0.5507841682189216,0.6081062915765946,0.5275114435369684,0.4790925836889157,0.5003960537708236,0.46770981455005634,0.40605784472843404,0.4037193285868849,0.4933313163843263,0.43250959679085327,0.47816322850960175,0.5401708403417425,0.49927898807671217,0.5580550984301678,0.558994386833175,0.6787836832654645,0.6508028103253721,0.714620569842228,0.7430386861160893,0.8650375635619891,1.0422282534600305,0.8817714406744315,0.8256163823330038,0.7371421709013551,0.5858815758421825,0.547342151664612,0.5296279567118366,0.5812173209056872,0.5290858921938348,0.6231126059977591,0.5842811719865969,0.5356982692654796,0.5659636266714951,0.5254536650571807,0.5837243953306543,0.5790190044278221,0.6118241653888332,0.9071949163077029,0.7655573735851441,0.7100373702948916,0.7578696301174837,1.1542396897723184,1.3947356614924578,1.5385769545986012,0.9435515568088537,0.8196486688959773,1.1068354700390304,0.8903981736262726,1.041737655596731,0.7473988435061598,0.7556256431341754,1.3115472928018794,0.7036971981515033,0.7412929218523757,0.8011830460570043,0.7962346795425534,1.4043392249550088,0.7914007410015053,0.7870208339009115,0.6995450329782319,0.9225796530324925,0.7748895868753274,0.6907695939646453,0.7685209054257434,0.6449231687313192,0.7930431725311436,0.7176028359747856,0.9263250574248957,1.1262621308154313,0.7903379422740195,1.0581686166679445,0.6853253005405737,1.3286178423377941,0.6344750588219255,0.6422191344834578,0.5995173276849877,0.6375738852100669,0.6029688235364271,0.6540865668009881,1.0976865152156587,0.5737046959529905,0.7611071027526606,0.5706332018665209,0.5958475881973684,0.6266088562788277,0.5843074684105808,0.6260138175840361,0.610145950323547,0.881430343115776,0.7489203607462935,0.6375112970705251,0.5854686865540314,0.6783435220028009,0.6835646691386295,0.5456582573944273,0.4942525692393567,0.7608129392044816,0.5087452462030497,0.597051303035467,0.4744844659830988,0.52894795922469,0.7241555773952708,0.6131732600640608,0.7624128720401866,0.6670532100772872,0.6830853208117966,0.8156524340559252,0.6205505011614059,0.523242823206989,0.4740293218958953,0.518774757982794,0.4954850998823886,0.5694787076847783,0.5789018266921115,0.6496135646462824,0.7702132741898897,0.5967698172085202,0.6092630925673087,0.5637050534866039,0.5861226038356048,0.47638209582513363,0.5013109864755422,0.6182785087993495,0.5450060226201695,0.6105175447287362,0.625019316465053,0.6282003807771238,0.6991530437244563,0.7197220974852468,0.6812073309500326,0.6758573171081704,0.6597661085142795,0.6500816637718015,0.7760129119448471,0.7286299019281415,0.6960673263128194,0.7137193489636631,1.0015591087147198,1.0468795211989967,0.6852400918817768,0.587146915410716,0.5664620027158797,0.576780723752483,0.5174811969232689,0.5339872024105746,0.4421434892306146,0.48479144416322933,0.5845868285209469,0.6588587711709987,0.955166214461122,1.7453157837481101,1.216358959519551,0.6168980659707503,0.4942602304040926,0.5138312869968842,0.47823472833169406,0.48735432929716865,0.519185106558829,0.5194004778630811,0.5784771072411359,0.5612354775250363,0.687469600300856,0.7889442205079479,0.9725053578127622,1.4786292516588095,1.4025502972667094,1.2045726740985379,0.8971442693621591,0.7247499518977091,0.7015878793713132,0.5431274347470341,0.5015054975985244,0.5247456038909464,0.5040414595036654,0.6436513984061701,0.5281675501140629,0.527996933181015,0.7788876981975207,0.5374791527132241,0.6027122302373061,0.6861728445592892,0.6865621810699938,0.7488279020681892,0.7825542608729587,0.9826036079321493,1.58157626282879,1.2395986944535375,1.3687789475990308,1.010567961131092,1.022649595090938,0.9599432919751583,0.8634644720922555,0.9582375697100936,0.9498377110313377,0.7522273140689766,0.7436802740126232,0.8556296073723574,0.7602788094713325,0.7956049335867199,0.7729449172997896,0.7954150238480743,0.844961746979645,0.860636864593338,0.8547294295333796,0.9175501149533554,1.0019075102376527,0.9815891890693953,1.0248104037238188,1.1572566689477208,1.1981475661646186,1.1864695501490774,1.3540629373191162,1.259232487085958,1.3082151810253362,1.1580919793120046,1.0578755379881013,1.177637943963912,1.112934700879975,1.6186361014249653,1.3050923915196437,1.692326846518922,1.0494101310712345,0.9839431704541598,0.9245181974789548,0.8505479450010291,1.0073084874031497,0.856532504361751,0.8723907682288143,0.893519415646185,0.9624308456007403,0.8663747816075128,0.9942898956873941,1.0585567922962718,0.993242064602772,1.1371434365329431,0.8219160507499922,0.8193658635109086,0.7351848284257518,0.8304834946866032,0.8787299877660317,1.053104434844887,1.0235157371287333,0.8976898616345378,0.9612159312610199,1.016908061021328,0.9707045144482457,0.9760160229963661,1.1253387312169472,1.2534704702089576,1.0632100159187317,1.1135504533031169,1.2349607250169647,1.28128617949302,1.1677049140452678,1.1943325087255638,1.132988538849216,1.067210183881043,0.9604976753028392,0.9581070721778296,1.0638923508109919,0.9767856658640947,0.885512544365885,0.9790254428261544,1.0104515456622531,0.8834335940282396,0.900648699364835,1.0715957732486736,0.9193457835010924,0.887432779629097,0.9684034374771802,1.1736151302415025,1.0771096671599127,0.9803358351062896,1.1258433667485321,1.1507975636566934,1.351622897524815,1.0221752567011975,0.9962734372968743,0.9592789160695301,0.9154156715051424,0.850996582348409,0.933450103619527,0.8817962544795389,0.8622761216263374,0.8285628289084209,0.720155420374064,0.6956330636180214,0.7855441771384148,0.8120617271690308,0.9012684283011823,1.5821769653874116,0.8291735616044992,0.7478472836712488,0.6529154602662459,0.9510277352957528,0.5932051660033214,0.7939720589224881,1.3261175897767294,1.684412389983371,2.2053785278628144,2.469589353144618],[0.6406986475207548,0.6310217595794062,0.5958521436474622,0.5294842240974779,0.6151640043739018,0.47139238748648454,0.417810717164208,0.40058870086433945,0.4087198133692249,0.38970909787811814,0.38263686006211844,0.44193532338552666,0.42634969472669965,0.4166983922177667,0.4676548280085215,0.4344741373265103,0.47572938923597985,0.4501851953996895,0.5307167223497339,0.5554271025058188,0.6002745802693475,0.662938601029757,0.7679596713409954,0.9080784501657009,0.8214509891698103,0.7329642282968457,0.6754038348486395,0.5023050442159442,0.4632538782175113,0.4561245112258785,0.49128953790009433,0.4753105177985198,0.5354898092547968,0.4868818976675207,0.4595696747858698,0.48916937472777067,0.4515779783981106,0.4918278176455479,0.5096692519502023,0.570525970513668,0.9122082296589312,0.7283283801943702,0.6524149015897598,0.655363555056577,1.1120352653461336,1.3712319580859704,1.5106799416126784,0.8663269359432948,0.7072496948516541,1.023959989327578,0.7945538434366934,0.9228435424576932,0.6465390619206961,0.680699437559016,1.3025201037873462,0.5983532355588747,0.6248183141333471,0.7380386834633748,0.7200134917562258,1.308108937793746,0.6654931654662085,0.6960826898700689,0.6256892057557335,0.8134563160096011,0.6851245618419864,0.6085117509512846,0.6123551895000596,0.5366303531119513,0.6785460942254974,0.6272320206387777,0.7960331864060577,0.9989090209458891,0.6848999017693315,0.8973971363594334,0.6033530417825913,1.2162656261348217,0.5453785212450573,0.5451511730470211,0.5053128160026333,0.5393168465673966,0.5215232101753524,0.6174703393853697,1.0051887637069703,0.5372383753682098,0.753942651656453,0.5102927948211832,0.5407204219987674,0.5880791554907517,0.49519648177680026,0.5370459807785049,0.5202906003626843,0.7837425145555874,0.6440737238064881,0.5067880515831126,0.48054011320111334,0.5771366258244001,0.6207490858983915,0.47756989141243394,0.45053776363371234,0.7048263629942633,0.48474951631611773,0.5662710026171104,0.4734483757038933,0.5106269169897736,0.6447263965103258,0.6130069812671878,0.7919718862170012,0.603093847249679,0.6251089846801661,0.7852766003978647,0.6077080947633388,0.5365519136037489,0.4774194137566025,0.4689281953812342,0.43066260545209917,0.6283062375756646,0.552777452283464,0.593713479334226,0.5955647816072496,0.5196133661194201,0.49465559188860225,0.5161220190278323,0.5681510119513598,0.4763710078925964,0.4479186168564217,0.547679489117958,0.5252967839119329,0.5540700874543046,0.6775224493142878,0.6931144159682802,0.7838962119144265,0.8105986459362164,0.6872041000751932,0.6786387708432243,0.637740387326007,0.6308227966681182,0.7406023650561305,0.6097442264716192,0.6397240307540742,0.7484402267681083,0.9739153121088017,1.0166114528490187,0.6115832555474118,0.5367629334225402,0.5149397852078194,0.46646738098690443,0.46199753436913565,0.4323551233221378,0.43847726871919657,0.4574644334561555,0.5262089292770264,0.5392951256191116,0.8057757412876587,1.5821374022344705,1.145315414933708,0.5718385753874846,0.48923635802470583,0.49554999735535044,0.4921715858721971,0.48982759744864746,0.47421471563058976,0.44245934004326715,0.47696856132639553,0.48888989724777604,0.5853578840245275,0.76332194171541,0.8502399852028831,1.3393030390367913,1.260029747219033,1.064365360754598,0.7920950423169724,0.6224414643595194,0.5969386236810466,0.519722003151376,0.4689609420905893,0.459020381453307,0.44314594927506246,0.5927765728613734,0.4733819134440998,0.5106220701162825,0.8310940265703243,0.5279497111345092,0.5961252658147475,0.6688561036135462,0.6583008505948881,0.7597638582175376,0.7923649366999095,0.9992274445929756,1.6244916326117833,1.1945031806200985,1.2835384554286262,1.0010148198741775,0.9396387353687979,0.8760928274495416,0.8272027723115961,0.9570489553714858,1.0068820051033356,0.8727275014143809,0.8185499633927152,1.0231580035799974,0.7748453245188162,0.8012517681788707,0.8096994987108418,0.7542479245282931,0.739624250680085,0.763952315822381,0.7690017161424157,0.725739323781219,0.7766709554979634,0.7707554553712874,0.7721382387329272,0.8478560539487185,0.9169523497835196,0.9188189159726312,1.0253132856810476,0.9930894479384231,0.9820817523165356,0.8829178449084096,0.8078825482250825,0.8393605139710161,0.8364344509526919,1.4214199356304222,1.0430936561768929,1.482384327431407,0.8404417653681638,0.8087682839428754,0.795495238293313,0.7996901561482316,0.8485152326972746,0.7458090584096716,0.8826905083559262,0.8889239743721679,0.8845084506871156,0.8895741235947985,1.098294879223755,1.050535910019806,0.9970522425973116,1.124888390151306,0.8493822669399109,0.9864775270712145,0.8097508198472898,0.83227959939793,0.9166523048010037,0.9839891732687794,1.0319211550090792,0.9278977839075173,0.8355907668158632,0.9152290155829852,0.889055488827643,0.8332728505933966,0.9207532574470494,1.0543305710055377,0.8560075436724607,0.8465522591755645,0.9431928332031153,0.9885261675088183,0.8772933985503187,0.8933147660337393,0.8437432477294582,0.8268540018198794,0.7821223317919916,0.7873154229633413,0.8239123790984494,0.758737745243838,0.7408016619572392,0.7557064901861206,0.7781494499820428,0.7511541611230736,0.7601096261859236,0.9172381634677877,0.7924246255663988,0.8885594577349867,0.9375055758966747,1.18067816067562,1.0725081967386565,0.9214238869491839,1.2202419115455363,1.0692057654109826,1.1904003291295966,0.8638979718025321,0.8087767084938143,0.7631361484067805,0.8130921264498295,0.824302772560689,0.9441692908168122,0.9043803732342116,0.9236388957896893,0.8548940095966062,0.7905564405774278,0.7259542843764989,0.8009557923651882,0.8140010573951509,0.833698862496082,1.422736297114405,0.7910092872206602,0.7275608146442124,0.6582951854485516,0.8598233745037909,0.6031721005986179,0.7764592185718558,1.2852114599914928,1.3668709932331213,1.7996022776478748,2.3835517590330477],[0.6357701270898137,0.5968315193922091,0.5268803835072744,0.4683028975854847,0.6215590200243319,0.45055386407186104,0.42242173332226374,0.42894245760491795,0.44963869329462575,0.45245256272840567,0.4678863443776358,0.4993047451000424,0.5013360191134699,0.5208210994594498,0.5674129927135404,0.5469911148705019,0.5726798090945181,0.5790001679450935,0.6810347326642655,0.7101907066153834,0.7482343232369714,0.8434069376769079,0.9353385257134567,1.0791592426846421,0.9961805063944884,0.8909309782597751,0.8639231448506577,0.6615685526684852,0.5976146693183287,0.546831864992753,0.5826589094617345,0.5625884424501958,0.6139624604546058,0.5788663453458552,0.5754770388115829,0.6167646122898736,0.5802626798899784,0.6217151736762004,0.6656208334105415,0.7446228554906136,1.0557218911609423,0.9161491153902128,0.8446236461863963,0.886306926661554,1.3242572088225104,1.5244067641673422,1.6798534633454878,1.0980446031748077,0.9279714595590588,1.2435901169111,1.0123896632594456,1.0955103275045057,0.8561193858808138,0.8853477182978077,1.3840061926958487,0.7689073032550767,0.8070708412599583,0.866176180185228,0.8083785296472411,1.3888236065800115,0.8077850666114096,0.7983293873490502,0.7193426619414646,0.8893697482263403,0.8061209641341323,0.7262874646215967,0.7306397620042911,0.6603039071149509,0.765543877176162,0.7495363827606897,0.8576892373912093,1.0390205829354802,0.7939234512254311,1.0147416861059533,0.7190631699871713,1.2206539904163285,0.6852501058626422,0.6665981827013564,0.6354344742995854,0.6797531101913448,0.6473698802364527,0.7494379768178554,1.0065534519152133,0.6664304694910783,0.8651984286162843,0.6308341457748097,0.6840927701986375,0.6993268289551043,0.6294031259457317,0.6319623046671851,0.6350799574669578,0.8454600594967759,0.7358715104827854,0.6196935482587539,0.5921157864329402,0.7054099782644841,0.7331928874431375,0.5721135805103167,0.518952892938088,0.7120560363294127,0.5197727279149463,0.5727818217833313,0.5298754942994616,0.5459006505654438,0.6970584694400754,0.6379941000355724,0.7983180537760424,0.662750371402839,0.6513962790179975,0.7801310503547144,0.6257608690057225,0.5855578924305843,0.5029261618960147,0.532135247671968,0.5214154589649355,0.7640412269979476,0.6964504304847265,0.7559282782234669,0.7733784549105217,0.6765366448012065,0.6824883540552323,0.6442968404508324,0.6949448197270673,0.5643684005658829,0.46961992465843727,0.6154480132062911,0.5359634838848197,0.6258967902585404,0.7291380748826656,0.766974496887854,0.8533913484648824,0.8669436591596181,0.8065390861715689,0.7499253401979569,0.77164158120211,0.7577662211324997,0.8056542923124554,0.7945417388840739,0.8578437731907828,0.912705049027103,1.0898170372012947,1.1500991175516155,0.8159848923061999,0.7251065062987737,0.7041752307853241,0.5901910385295949,0.5755895117013081,0.4959132426815954,0.5045113825236626,0.48787885312951,0.5201989382523521,0.5485764855524341,0.8068812606607644,1.5439866849222537,1.1263170332848529,0.5767299285892513,0.515141670842651,0.5113198946801972,0.5234266326137781,0.5312272120132646,0.5706167542925213,0.5484015746287926,0.6680657120884091,0.6729835631849722,0.8225573966747972,0.9877697968298472,1.1215797615642706,1.6139416493468501,1.5110442636519588,1.2628552643446112,0.9918814230715377,0.8133651493383628,0.7634180732755845,0.6694971030516229,0.6013235099212272,0.5516482456048184,0.5302345879356698,0.6141489110338946,0.6040723316788562,0.6079417258882756,0.9756824185508696,0.6386193383839357,0.7703120517779419,0.8488964355936808,0.8488189141971729,0.9612304583269405,0.9655295196162893,1.162754905655917,1.7468048152359335,1.4223641558336007,1.5460091056566836,1.1910309517462445,1.1721592026985748,1.0856603729828442,1.0044830928992532,1.095850726268536,1.1063173793025767,0.9496583824741544,0.8746074491189335,1.0403135010198492,0.7977867911573184,0.8025894144017367,0.8191145495646751,0.7732499857914678,0.7526249074635046,0.7539538962947749,0.7658192763978117,0.7359230328006701,0.773641114903877,0.7765282487859562,0.7970533517125368,0.8920972396434165,0.9514319265512835,0.9824278547069806,1.126409160076557,1.0863175063444646,1.0377818331945246,0.9780544134649968,0.8609272436946945,0.9129110942003722,0.9064173543228979,1.4063392217688724,1.1240099181346654,1.4955027854774305,0.8865395425161702,0.8589767758996433,0.8347490268919727,0.8416504829912573,0.9383635913348685,0.81568126414337,0.9302708959146856,0.9625885773447244,0.9687412764304361,0.9551464094540602,1.1430326673486275,1.1861695113985786,1.107695839240427,1.2460472684787431,0.9133004417005605,1.036254559052729,0.821945391182635,0.8340320513648711,0.921036844243242,0.9600384059378329,0.9938233097154212,0.9150944127310677,0.823787052474556,0.8736383387563014,0.856103331274522,0.8137223539753411,0.8789418226303493,1.0011408431901179,0.8307790588954916,0.8360408099318215,0.9382452460800357,1.0167185619203378,0.8970539068043314,0.9114139147784638,0.8695688567230097,0.8403032803879821,0.7882665353831076,0.7998245073119318,0.8557779336378626,0.7919579277438406,0.7697375092185488,0.8125486646991705,0.8308553789144549,0.8153502100944585,0.8324143125841471,1.0233054831660644,0.8713423227304409,0.9631767631906495,1.0280792142634825,1.2210539680966233,1.1057692214173587,0.956353938319884,1.2962205098641522,1.147540503177637,1.2459271535512602,0.9279089329910194,0.8500806209978735,0.8063962594063662,0.8244995417086216,0.8350425898697241,0.9711774303469312,0.9249311367871184,0.9323610862717664,0.8766066218502752,0.8330722708838514,0.7374602331994548,0.7940595091744456,0.7959531312157246,0.7969358634969405,1.3340628728943307,0.7710301648689742,0.6805239708312328,0.6305479421564307,0.8681565064714146,0.5562323611690085,0.8234986921054035,1.4415395311895607,1.3087166215396815,1.7613401504705846,2.9079672073529936],[0.453997689794667,0.44582214273297566,0.4723542460230007,0.4273533815613618,0.583989055764368,0.3805218547074212,0.36755175944908713,0.3927140714973931,0.39875522119419393,0.31747236651432564,0.31608817691851937,0.4135345714249139,0.34706950739039194,0.34664427415747984,0.4093646324250555,0.37553217924808585,0.4148341090049355,0.40063407108154997,0.4836144808822614,0.5088217269052956,0.5661739925537563,0.6634261495430231,0.7749744035098467,0.9012397966156122,0.8240769700406642,0.6929190443729213,0.6653658078517312,0.4572862043645669,0.4151878131281716,0.3922192472053307,0.4406125185883763,0.3938506215792804,0.465335029247174,0.4328733949065768,0.40106853531553854,0.4383045924299113,0.4142473701908217,0.47358428783415446,0.4562488159690216,0.5716667363255277,0.9174587162286277,0.737429340009055,0.65166779195892,0.6499955373968148,1.1428534018433154,1.379388674561347,1.5723754964996308,0.8598549080321685,0.7001811216082064,1.0441144381245215,0.7937800605502819,0.9394600247889211,0.6747656998672976,0.694351495643344,1.2544069347974058,0.6095064474943304,0.6752745501797734,0.7119561678580828,0.6968595402301124,1.3718487511831172,0.6713334685839621,0.6796901411733595,0.5723923656335974,0.7456050814770505,0.6673715258687697,0.5820733413479805,0.6196987291278158,0.48261678795633123,0.594750215106805,0.6033108415889201,0.7436530264386753,0.9765757729313772,0.6567067573096648,0.8618548898086686,0.5753406116429339,1.1475799734903713,0.5005823338831126,0.4952353934333027,0.45841624541409326,0.5357660885592086,0.47837391691504366,0.5808414645666196,0.9284862760970033,0.5598030088071254,0.7149281594944179,0.48855828332536594,0.5125236668658886,0.5530813019330809,0.4543422830767686,0.49760792501840817,0.4825347979324454,0.7756071105710708,0.6259875855991632,0.4522651571298096,0.426074456828687,0.5433648924370538,0.5890536651415544,0.42112316553090695,0.40436296997728294,0.6424100433909313,0.4283844611448911,0.5475426346442424,0.40517863420211114,0.47229532257657725,0.6937417222942258,0.5786970702655462,0.7404573809471977,0.6206972424126119,0.6134142456985471,0.7267192595339554,0.5603752458480592,0.47340797752043295,0.3819011233258771,0.42242489384657156,0.38085901149450113,0.5721208268952533,0.5053245114002884,0.5417981436101044,0.5747242455026004,0.45046866804952734,0.45556150691436664,0.43336492861799913,0.47521055007676133,0.35590246247414853,0.36342838942436834,0.4971856081188498,0.4670965237087935,0.5406925382391556,0.6298889211437378,0.6549549902332857,0.7531329567301036,0.7892248329932642,0.7036506955125699,0.6395450826505213,0.636627960102357,0.6082201402963145,0.6964980610745166,0.6513378248481463,0.6631556613687725,0.6995932239814963,0.8658727170930729,0.9755275202239098,0.5826816426937864,0.503766535055883,0.513648662120019,0.43062537839777476,0.408722695284518,0.3788993864690463,0.3743174359590765,0.4094648554280577,0.47544112187314563,0.531499263743773,0.8261841146521726,1.49264688010379,1.0468316073720925,0.5179608913368273,0.4127960233263696,0.4460787184332279,0.3899788105958165,0.4342227713080338,0.44297334952170725,0.42421987501516595,0.47553133360965916,0.4895516494170095,0.6582430513618817,0.8145994219220808,0.9704447263529095,1.4751357152520095,1.3906731852180048,1.145605562767974,0.8682191098348765,0.6499393821834146,0.6371957327271067,0.5298574166650011,0.4641274535853246,0.4572029363561074,0.41672693871568206,0.5408523217834069,0.48357993523503257,0.501448006830729,0.8481341797905194,0.5278055735258723,0.6286250534133412,0.7275976734517766,0.701205952487643,0.805098012181888,0.8160457674967186,1.0035919626537422,1.6011413679306847,1.2805721553396798,1.389240115234504,1.010045985753386,1.0195416865069826,0.9583066597616854,0.883344055560466,1.0143249855764975,1.0178304431905711,0.8466627208576756,0.8051673570686289,0.9565648178584514,0.7617837358948862,0.7752077019403294,0.7842223402999372,0.760850074651207,0.7567934006097378,0.7694076222003882,0.7658520162362624,0.7600575983825033,0.8167413744047408,0.8302892255861052,0.8338787572078938,0.9372013013779271,1.0032166395372417,1.0420944557647769,1.162620181432761,1.1188955160890581,1.063642642595628,0.9757342114728814,0.8715192665310172,0.9385680246385782,0.922133580746017,1.407210514306658,1.1458455765950049,1.5117320175216495,0.9057645689865517,0.864057091911439,0.8274018590093662,0.8200134967029021,0.9347395038061688,0.7949088432450306,0.8902253031914804,0.9304645062423172,0.9451510408998013,0.9162682860823498,1.0517217659519018,1.1409233487709851,1.0361625947157451,1.1442286391602008,0.8639631330482296,0.9566146354320288,0.7482409357851956,0.7847435281416074,0.8618982848411529,0.9464623662999897,0.9418321540870861,0.8656088862782167,0.8560282231973665,0.8713644463599186,0.8534495528115822,0.8404054401883001,0.9169964574704914,1.0470127031222618,0.8788970094117663,0.8899293423474807,0.9919471023587606,1.0917353222068376,0.9437725514724257,0.9569204890964461,0.9210467815444036,0.8878991606514726,0.8245993993840612,0.8269559509608388,0.9026836819736209,0.828110207896775,0.7841159101659695,0.831193280503083,0.8477902806368653,0.8045814562536336,0.8158333474886967,1.024659241341227,0.8513605235072437,0.9149449038209911,1.0021210896581305,1.215233281449391,1.08560093024806,0.9398324460519715,1.2242836697602393,1.0935261495664428,1.22437362917844,0.9118706946389843,0.8543422395889994,0.8442542723974475,0.8136124998192361,0.8259430914806937,0.9548377000773604,0.8950158306454283,0.8919141283996341,0.8447598778189997,0.7781727189371981,0.6804468978446052,0.7867873606347706,0.7735282418726984,0.7925409787423316,1.3093684546968019,0.7587253722338516,0.6355063181483541,0.5210204692614647,0.8524294350295866,0.437290824855721,0.7533987516273205,1.465044273338781,1.2876780872760984,1.8998887593876372,3.3346017092016518],[0.44540068282345635,0.4701151236972262,0.516071765071947,0.43878407462979135,0.5773299156515742,0.3971759251667778,0.39300393026305475,0.4243779098924411,0.4304897752089479,0.3433813224467154,0.3421449498918551,0.44614169203169646,0.37408329075627483,0.3616315458427408,0.4261095865169778,0.41461887749480864,0.44153300161921494,0.439263469713429,0.5065681070610105,0.5259416972677747,0.5874490858292726,0.6852594210324954,0.7840717063472937,0.9029723445054219,0.8324118072207529,0.6998527836226943,0.6841762528440686,0.48818403453256365,0.4532659125997926,0.43554156332727667,0.44990102410379845,0.41755033956166493,0.47750447110120137,0.45679929374219175,0.43580439700591833,0.4800346117682778,0.4670967085861514,0.5244504178583598,0.4970463179749603,0.611274513669206,0.9309691133683051,0.7643002585730222,0.6788857250540701,0.6737041726040385,1.1552564678988175,1.3955744903454423,1.586622981904905,0.8723040581762075,0.7234346502116367,1.058188576637972,0.8222567357332793,0.9638583944587044,0.7204871173327887,0.7333366550433447,1.2634534147967784,0.6554696304580728,0.7187636340618913,0.7433066881005296,0.7243189308527375,1.4037074465824608,0.7109036412006828,0.7067718058941633,0.5844450264516428,0.737841465154935,0.6992972699062113,0.6123132349368715,0.6538707307357263,0.504874514643047,0.594998428605777,0.6233831784588404,0.7349544087099416,0.9423543867187358,0.672035860411579,0.8649543261603261,0.5832377007328511,1.0976629318905797,0.5296116801890299,0.5171198602377325,0.4914137739973862,0.5758695502254184,0.5189623101074902,0.6128118675064382,0.9273339308937942,0.6089334065181449,0.7481718427231062,0.5284431908977625,0.545584418762734,0.589583658287505,0.49415479021344494,0.5201654980058936,0.5047927372351366,0.7957090702694012,0.6486579652226563,0.4535154428920611,0.433675851399957,0.526116661328327,0.5798022624572616,0.44982476946651084,0.43639761039766234,0.626850109515738,0.45091881661731864,0.5628759729645433,0.42456430966459335,0.4928760466647343,0.7363970266004625,0.6086576800789019,0.7348690868266186,0.6335915953649548,0.6241376977073296,0.7276215164684949,0.5807483516878266,0.49711554877017317,0.4072760050861226,0.44050942015914235,0.4101837990638253,0.5730926521361146,0.5210073798233729,0.5524561593931837,0.5908800161801108,0.464031155482794,0.4841768163241761,0.4429189429139339,0.4777429040312049,0.37054185435861464,0.37289754053111623,0.5088809877567227,0.48347907439929333,0.5522336269648155,0.630848509033743,0.6718417469064162,0.750745397446598,0.7759553123938105,0.6938032911919588,0.6471470000632661,0.6382057445295406,0.6204434570626672,0.6961751907147193,0.6560590402961967,0.6751388605815586,0.7011293113555224,0.8604210733852977,0.9718716238568511,0.6048654078376493,0.5285134135895818,0.5477345691872716,0.4868710000568789,0.46090446079412295,0.4233340580274656,0.39651212636117933,0.4306535479800296,0.4826870607245098,0.5352363014895369,0.8116261217816994,1.4347722146828825,1.0575723890733153,0.503656458481807,0.42722123616099444,0.4538828855214389,0.4105209703722207,0.44212100674905747,0.4695268851188493,0.4621253063791291,0.5129853752079799,0.5310164590234129,0.6811647891193547,0.8232288904591627,0.9704885078118801,1.46064266538491,1.3659179007595792,1.1337298021203572,0.8641608820921068,0.664266737935094,0.658048955316886,0.5550630171759219,0.49267815259220615,0.48729152530900227,0.4518865064371439,0.5545197757977322,0.5298542600461335,0.538697410631958,0.8650584653173166,0.5559271272555062,0.6472823715430677,0.737601736512788,0.712898845294967,0.8240713041743046,0.8380637447193375,1.0123031838872099,1.5983544921573438,1.2855250604538393,1.3843678739533,1.0163457411251495,1.0149759012538437,0.9510362306197123,0.8737206316112838,1.002915186312184,1.0147281587635812,0.8583233691866666,0.8020804868299993,0.9774794399940235,0.761796891688781,0.7742795083514801,0.7853492187592378,0.7406549723185624,0.7300325622827254,0.7521278294215781,0.7531997006344492,0.7255232082504623,0.7713994283937351,0.8007662429274413,0.797527741776455,0.8693547154509854,0.9441232790343733,0.9980372883307419,1.1023643961390042,1.111277615063601,0.9660952610149263,0.924895630296603,0.8162531485610247,0.8590399394360336,0.8349487707076367,1.334089087553937,1.0459932197305104,1.48916400178739,0.8879358388552542,0.8239557872524544,0.8002204483436596,0.801959634780009,0.8991051637467822,0.765694681561842,0.8671528682780774,0.9108162927850105,0.9031839556713799,0.8873658943932737,1.0528263943715677,1.1055021875863178,0.997485910865044,1.1334906341614832,0.8384717030234128,0.9833086793732523,0.7676379606427015,0.7975981336980419,0.9036915379538232,0.9321084720934021,0.9686999486281097,0.8973923744035706,0.8414194403490519,0.8495628687965119,0.8539371576276926,0.8135913284024703,0.8791687426334817,1.0076116969919227,0.8403111257268683,0.8287644799074536,0.915748725777218,1.0121256796304203,0.8715654372594824,0.8795162397938093,0.8585775339445508,0.8363297654723767,0.7896837635300935,0.7952187462055381,0.8379536538706391,0.7764947465605558,0.7505767174274122,0.7842150380340164,0.7979615693030259,0.7850638538883167,0.7988359530804336,0.9799170461977154,0.8164663178602612,0.9030998515268802,0.9928572058044299,1.1954717977375946,1.0686312478028612,0.8952149351373481,1.2747461397290525,1.0860430405844332,1.1277219159771192,0.9200700592926565,0.8596184944626477,0.8470587279330164,0.8633905431717382,0.7724745717881243,0.8737439956904746,0.8235235405304732,0.8534420752144737,0.816582433179123,0.7781933326371324,0.6717121738121923,0.7656745178554317,0.780506480472806,0.7724903938457833,1.2696790247118808,0.7703249850862394,0.6100029678371728,0.5179435525132088,0.8927152908508509,0.4435769976460278,0.7950720720944264,1.2922525127922302,1.2169183567332111,1.6206298073996643,2.7848047409561465],[0.4975221812526838,0.5068353463767663,0.5219018580290197,0.4422496669891795,0.5844139571135915,0.4970060124191811,0.4543761387799207,0.4908288315359004,0.5357875016190787,0.5193621285837297,0.5410359054629482,0.6191158613553699,0.5380013322785289,0.5641355144052634,0.6239283001164045,0.5733688781650933,0.5985060474724978,0.5844676866815474,0.6292830015854065,0.6496124783858694,0.6952208048069967,0.7932180499953911,0.8771317281224319,0.9760636015512286,0.9059082722242793,0.8014064714147436,0.7803951660952991,0.6138234526997425,0.5751716376503893,0.565007946450441,0.6126316358020176,0.6034873476786549,0.6567520782056648,0.6115942484822405,0.6061327944254549,0.6220038097891281,0.6009396000602981,0.6285439881417659,0.607586941003377,0.6813285408775206,0.9905664030755822,0.8407310578365683,0.773639796006101,0.7719542668183877,1.2202739395284652,1.4347019618962216,1.6035785988138571,0.975404853553109,0.8098068246201684,1.1056437787608235,0.8947724772886791,1.0566607318259154,0.7750298393930882,0.7985085765748838,1.2878587433035706,0.7240723090880539,0.7809801738078594,0.8107924763141017,0.7804381887712051,1.4489498802801977,0.7817232312470677,0.7962674515557812,0.720084324702847,0.8662630012545162,0.7915412733325756,0.7003259497046352,0.7540526085494224,0.6229249121436214,0.7086495049806009,0.7492768152844343,0.8329041159481811,1.0019063576327314,0.7547414946429062,0.9436153478628456,0.6935612466446093,1.1521629407551106,0.6391161465993308,0.6580343936566008,0.6244281840360245,0.6905392299676902,0.627733098554892,0.7092758502255303,0.9918160213163363,0.6256991201118659,0.8162461791994238,0.6028590550419092,0.662015945251588,0.7239211099537628,0.6245268137193264,0.6414897312871953,0.642345564591468,0.8998043907587253,0.774964813674651,0.6456751270667453,0.6339598246133012,0.7231843817099229,0.7578486388758712,0.6378674362154817,0.599403919038464,0.7566889267184266,0.5685496418216592,0.6480401398992927,0.5631247933504638,0.5573271701216662,0.6936975676716471,0.6082823574833136,0.7289063111015189,0.6193352465632426,0.5928172826026082,0.7600937044969612,0.5983782661845638,0.5513067295782069,0.48943147013227095,0.507135587998681,0.5461070870375281,0.6996840762283063,0.6546163399083832,0.6545753791568953,0.6932381571223395,0.6326559969828782,0.6415773842642561,0.6368299752164341,0.6587894753995173,0.5414568484813915,0.4993687153005266,0.5649178839013889,0.517326596490728,0.5789334480605929,0.6635755025828837,0.6955481742872095,0.7613463772635498,0.7717210801240987,0.6912025586047623,0.6816667217719767,0.6628835929590804,0.6618550777486756,0.7297257603196479,0.6624505495665933,0.7191727403630687,0.7956272094412736,0.9667491738342016,1.0326806241430557,0.689815534403568,0.6172178704642185,0.6163342487814379,0.5781168653472492,0.5409367974650705,0.5360226189587072,0.5034256806475059,0.5335166018997546,0.5718122037109817,0.5943485008399417,0.7985704937173217,1.552923642082393,1.1612433743003021,0.6060899624162601,0.553289878430621,0.5340144528188786,0.5443074403399787,0.5488103077108494,0.5573198000609587,0.5419459762025461,0.5862979917304062,0.5903405511487307,0.6822586431390819,0.8328351723152531,0.940865625734374,1.4317981860014837,1.3117729892210355,1.0929478455340262,0.8299959187283977,0.6974619207320505,0.6703815254607414,0.5879563523118035,0.5580706634950298,0.5473591103955978,0.5523857427939599,0.6250923906535256,0.5752678388512061,0.568684361499214,0.9056970988609431,0.5829411860896085,0.6777431141747405,0.7476698031960642,0.7389736241821092,0.858746545411804,0.8767882487502252,1.0406383844883105,1.6471736553861889,1.2795054206522216,1.379767079895045,1.063427445190869,1.0159159027389517,0.92114014262766,0.8548645789496857,0.9853099933645589,1.0396599165193732,0.9005295121872289,0.8237434365044992,0.9905510608890176,0.7572342950418012,0.7489051340006287,0.7586159096978644,0.7161541544597796,0.6879375179771244,0.7006626042982811,0.7143707477482958,0.6722960290194285,0.7045116262260429,0.7222202749591746,0.7264571404523243,0.792203801945857,0.8612727183485925,0.9063750901159772,1.025946080848245,1.0335526803198303,0.9164449115307769,0.8808087492973653,0.7648017697952522,0.7876573085283007,0.7908546936308526,1.3204180976737108,1.0166491726429523,1.470677667614286,0.8440737111456823,0.7767237551034273,0.7754445119803871,0.7961556013368234,0.8692869425721187,0.7538577868441354,0.8906339768126051,0.9257016563798157,0.9092170972576977,0.9096277302021271,1.1251977220832634,1.1068219579307736,1.020470969119026,1.1843818247981275,0.8589230055426782,1.0146800031441123,0.8071653764590191,0.8070173444074294,0.9175679253743185,0.9216283210144055,0.9855728362070063,0.8968625519983823,0.783554674730653,0.8469053095057063,0.8484837774352154,0.7597025527987699,0.8411978168144086,0.9851435416685845,0.788361894196834,0.7617458397147622,0.8674634522746857,0.9459977990429109,0.7869601355203891,0.7927569188069361,0.7650789599284542,0.748525284709112,0.7187689040351476,0.7371908222042551,0.7606444805374838,0.7062281931679344,0.7098595785480618,0.7382640568247146,0.755545264052873,0.7602213798587294,0.78192577699353,0.9784392711014899,0.8128491253121046,0.909823149157764,1.0012187954208,1.1965611965656366,1.0781174551179518,0.8964923454351061,1.2887652955194426,1.0732081641868503,1.11740861859781,0.8950698197368778,0.8143590630187473,0.7585803053009031,0.8419001316479467,0.7718843089079138,0.9033412710761748,0.8740673511210986,0.8646419372802747,0.7903851514315339,0.7659875671247804,0.6933476440092021,0.7136247971560721,0.7628721168821622,0.7674513529149487,1.3483331406152326,0.7575391957057643,0.617334184170178,0.5920505121875755,0.9063328310378985,0.5008579350690984,0.770045369887776,1.1263069280992914,1.3349234947918844,1.6929154708011673,2.293285789664347],[0.5816560613168189,0.6063904296891582,0.6519073591781532,0.5372519309040832,0.591968850965628,0.40371717953315645,0.31584986357600137,0.3310764828896425,0.3628874532229129,0.2873184383773204,0.28226562241298747,0.39454896839576914,0.319432608228147,0.29658372753227924,0.36850883393491374,0.33508571609166116,0.37643342478682557,0.3653820243898478,0.4326169674319997,0.47963381781046366,0.5317379766199267,0.6419499389908874,0.7464474710934519,0.8528745260452921,0.7831633230170827,0.6587268652066985,0.6399644442724353,0.44240396615635885,0.3874306155295062,0.37301670073682575,0.3707288714784793,0.3741185260221617,0.4278576851865779,0.40278338383332635,0.3805289132123283,0.42650679601865843,0.39863925252627797,0.46400600262890057,0.4492086272552985,0.5540591575314631,0.9050389011482649,0.7240325148038016,0.6352240443743934,0.6208733157708031,1.1029130516540437,1.3686531467835634,1.5099835277507765,0.8019218130869303,0.6505530572864476,0.9849191113688844,0.7555716645367214,0.9064790605192644,0.6581992177086037,0.6841363036965937,1.2817702723262532,0.5907082294077629,0.6266158652460294,0.7129743038679885,0.6873543590540029,1.3115551371171401,0.6228558017380118,0.6475068407846949,0.5318855636803358,0.7154342546229516,0.6260964934717909,0.5558646265766111,0.5880328608661722,0.4376832697576884,0.5756972060612989,0.5400962459430865,0.7344962978079914,0.9410776077833277,0.6017273481155768,0.803772222932377,0.5534220669514246,1.0480877992992517,0.4636231519181515,0.4515605081346162,0.4225133997528519,0.5263069470093852,0.46661712022379265,0.5671688273034539,0.927343610304685,0.5101003589615802,0.7235598845184478,0.4803849864127057,0.49906141840389495,0.5409125276709609,0.43831326311272784,0.4870274835113506,0.4440100883420842,0.7464382472335399,0.5832483153142095,0.3925853909738451,0.3782952924623843,0.47777792892506926,0.5625472812990743,0.4084392604990872,0.38217528649376264,0.5599404179765769,0.3781975193525969,0.4817159385248188,0.38605232633714387,0.4161694648442289,0.6110330692855376,0.5475708753280657,0.6838515986460172,0.5504527792910304,0.5481021743217186,0.6971890585522621,0.5407686510082992,0.44674398917950386,0.35189932723491674,0.35270331106525776,0.33906971091287147,0.5339644617728811,0.47476821430963817,0.5024252164031973,0.5261291718152382,0.4059957673513845,0.41220534668836584,0.3770278313089498,0.4130398700136633,0.3082658197491573,0.2938683986016546,0.4481793679964842,0.4088148386697542,0.4838980039159852,0.619322125306502,0.6370078635381846,0.7402451246193913,0.7490282381940793,0.6196064642520256,0.5933727252700196,0.5665516151322315,0.5646762014333618,0.6911517644523922,0.5339981890331528,0.5660451027032789,0.66031152687947,0.837955427944872,0.893764339539703,0.533830981196973,0.45576486155430956,0.4853474227105153,0.42453156094414385,0.388030072937285,0.3509883905763556,0.33352878384222,0.3601682657235874,0.41278951454182217,0.46618056757341475,0.7138853840826158,1.389340117754812,1.005796871427972,0.43576526816776373,0.3683180250322064,0.3881350557573542,0.36005399591626774,0.3869794363100725,0.41188859143730294,0.38681743295080273,0.4188296147500898,0.438138737990393,0.5550949250390413,0.700624505851678,0.8277161511968759,1.3301145846779043,1.2267165861748606,1.0440962024618385,0.7400667201831265,0.5669437950793074,0.5544992025584984,0.46208822648120085,0.4140883125987722,0.39871176414636916,0.3750190429772133,0.48597350985713916,0.43747299086706626,0.4445985839561274,0.7995305225575431,0.4721301605618234,0.5510349220684757,0.6300430191850811,0.6137924003808498,0.7462137668426085,0.7808660425738885,0.9558792705562551,1.5594687633629942,1.1843807849748524,1.2641260725187724,0.9667070212967884,0.8977452170872532,0.8261222713899634,0.7606939862608098,0.9006233443785838,0.9829243649947205,0.860750043086391,0.8010114714840623,1.0259654084720689,0.7702523681457695,0.7785205804037142,0.785324631116054,0.7226054048400506,0.7070895755151906,0.7212993947669063,0.7116272294406695,0.6610245343935036,0.6744483845921396,0.6821123825330421,0.655769420119302,0.6884269533840428,0.757145067512725,0.7831864950997566,0.8754167413404057,0.9622603636707173,0.8048479929707754,0.8114059828504885,0.7078025972590931,0.7065037604778817,0.7395622489192858,1.3457129454897674,0.9485128293392154,1.4087107204791431,0.8259024604768574,0.7791040524444367,0.7722967420229706,0.8119238388729648,0.8212717059172984,0.7303708084811794,0.8758295637592252,0.9022170647729225,0.8585691203064497,0.8603765177901973,1.1040638153749989,1.0165946891883275,0.9621000585048574,1.0824136261469812,0.8123681316207726,1.0315326026735159,0.8253173196121897,0.8344369878212412,0.9478257744542926,0.9266722763662414,1.005706287330102,0.9134240091634743,0.7886835653387666,0.8380062010503407,0.8394938533840887,0.7520539903022788,0.7833438077166706,0.8949456040525431,0.7175402745576974,0.6941607396050768,0.7650523601078777,0.818375697925974,0.7315973115212682,0.7309527847570682,0.7026103205538731,0.7215511028305679,0.7278403668428072,0.7591521805121617,0.7197844315603962,0.6928290879197455,0.7206520061518606,0.6993375820550135,0.7009834793903472,0.7209058650655411,0.7414695272785495,0.8616707551697388,0.7446820081466058,0.872487319687519,0.9466550761434753,1.1604080816492337,1.0462954463582164,0.8633829894713049,1.311117257080146,1.1253669645776931,1.0110474618367276,0.8587916025311203,0.7868989627155885,0.7225504526523492,0.9043025376144341,0.7149888361912341,0.8214658559089713,0.816722453458473,0.8524474699665375,0.797940532977657,0.7717981849342374,0.6873437911482068,0.7283705193027524,0.7637126745552557,0.7418836702835311,1.2445050559405886,0.7354354483722818,0.6492685938180268,0.6034868212443137,0.8416638683657645,0.5362568591742014,0.8663672237768378,0.9712322796041053,1.3950514060949026,1.6369918994059571,1.9942371100069676],[0.5017702866265493,0.4424119555842083,0.41680349358962165,0.31593360513899077,0.39049632602902873,0.3136298315717603,0.2432933280617099,0.28362333617271546,0.3245545784089936,0.23275402987341715,0.25571220602943867,0.3742425538878941,0.2607111345575046,0.26451684601987485,0.33107375887745516,0.3011461200426017,0.3214285041751352,0.3133030561424787,0.3748726679991093,0.3900531696747544,0.42764911029063946,0.5114503883222202,0.6385511035868873,0.7434929024318017,0.6379611640817212,0.5454473986332843,0.492917428754388,0.35729347731198613,0.329662912519644,0.33713286407731,0.3482376940122704,0.3567543371631835,0.4264923328045886,0.3752499865897723,0.32816269140397597,0.35750299744589636,0.3528732377884296,0.3988762318527069,0.3631655824282183,0.43392713919502846,0.7947427770815695,0.5927166251152673,0.5101625552160786,0.5432138753103533,0.9751461077306771,1.2918868017432132,1.377019143893009,0.7041964618800529,0.5920914021119961,0.8851571416136573,0.6724265049949593,0.8801626120156103,0.5824533930152925,0.5885662147544264,1.2842750721321392,0.5230759889448549,0.5465750076594079,0.6234126960850743,0.6406469799191217,1.257384398044902,0.5466809396280128,0.5699521403567832,0.48209983938046236,0.6247304103485237,0.5096677897679772,0.4696795640583193,0.5806699971245423,0.3950296834957917,0.5383518367651771,0.5037778218344443,0.7435487952071816,0.9825467344668101,0.5945675010681666,0.7709241683290922,0.4867101696239123,1.0485059150404825,0.3939094034758293,0.4061707620212245,0.3684245477202179,0.4669137142749527,0.39982113432380145,0.48269540384497195,0.9739037952036631,0.4255610773628054,0.6149856611932346,0.412362873338575,0.40990862856459653,0.46001685137725,0.37168407157106087,0.44428520379780123,0.39832309945714434,0.6808339804058842,0.5348070448767123,0.37325961979109706,0.36210246921632666,0.46997622348229395,0.5205698616278408,0.37895840605267894,0.3600209922648268,0.5906400113112876,0.3541468042509468,0.49656918397521543,0.33745244275576086,0.3764129188192659,0.5893207250506411,0.469638384516052,0.654402389668798,0.4599157634207347,0.4466391769219268,0.6574075315605545,0.4142093105635986,0.3344325633982717,0.26032243201687755,0.307472271474134,0.28396850580479194,0.3850597110368962,0.3938032504804188,0.43447510781188997,0.45839976639600716,0.36554872455607407,0.35323675059532533,0.33952513266058665,0.35387531204518835,0.2619786267526342,0.27782847657111814,0.38945913709419344,0.3277395874241962,0.388839172136295,0.44415381221402983,0.47702283734128714,0.5401266437123214,0.5716254065484896,0.4835861866151144,0.5069858726016407,0.45906829134023736,0.45783780668250845,0.5875203626679354,0.5528062702371994,0.5159493856001242,0.5226466885369683,0.7803791746510937,0.7746244317991442,0.45147451455512405,0.379217348896189,0.39550120271380373,0.41053051495831233,0.3233787486811838,0.3578589613161748,0.26294934033999945,0.31734967179736107,0.3879683362044228,0.4719929057103957,0.7549789129993739,1.4653646724880394,1.0271127471930284,0.4489932206160919,0.35231174765143025,0.3556747974386993,0.31186943077462986,0.3304611194282577,0.34119909337379867,0.340576572563303,0.38360505527192984,0.37700954129767306,0.5367163335907363,0.6177835990389423,0.757404695691333,1.2210749123840026,1.1656794635099854,1.037609562590182,0.714527931608512,0.5336932730678309,0.5213348726364032,0.3853390831463306,0.339285000648609,0.34866744755331464,0.35760019808424975,0.5108151425013977,0.3758058315262279,0.3746475793323548,0.6891181293558056,0.36921665791364633,0.43831642717225866,0.4977117932401629,0.4998991195955182,0.6009510576344894,0.6484061072000346,0.8393502834581446,1.4449236320497705,1.1036084121783247,1.178845787436666,0.843191254824494,0.8284371354217681,0.748168351839523,0.6315492146550149,0.7090969914175834,0.7607651357829007,0.609125208750218,0.5690884292198277,0.7754202171495784,0.5483264474160661,0.5751201317847545,0.5781807333935487,0.5238152453410475,0.5284551347617373,0.5542523772976201,0.5391082173848679,0.5247473417460189,0.5809345106335979,0.5773751545527357,0.5788672612924592,0.6371274687694369,0.7118700707377758,0.7301068954843554,0.83680287634028,0.8651229211637234,0.7487220772541531,0.7270246867384454,0.6083173695735533,0.6500782987531091,0.6316782892689032,1.4031742852908426,0.8783699911318189,1.4147888003592164,0.697589290094606,0.6272863507400306,0.6299860225824176,0.6402945901603307,0.666365551143163,0.5550954081809337,0.6958566575480938,0.6901877668795036,0.691162928015609,0.6601781339763576,0.9018488740863866,0.8368572649028393,0.7692387286866235,0.9494068802088111,0.6166968261131509,0.7656572000774015,0.6075490030905872,0.6580131783904579,0.7616180944243118,0.8368668634879467,0.8853094386356468,0.7529087470973826,0.6733278204672447,0.7647183446487276,0.7388002832041355,0.6507831254778506,0.7675398428534501,0.9162838728575966,0.6739880249957897,0.6564056121609004,0.7784814488609101,0.8400663108896593,0.6671896150745102,0.6747758383287057,0.6349072307119831,0.620953550117325,0.597626772810528,0.5932709856355516,0.6092253136514445,0.5648602603149606,0.5464390635440077,0.5549128550340771,0.5827311971432707,0.5587118637556533,0.5712717073872762,0.7425888035189447,0.6170412912951345,0.6685775967700854,0.7491830194324525,1.0046931510432193,0.9177423396672385,0.7447373022524715,1.0971015591150173,1.014849763225988,1.0096241951726748,0.7703023337964112,0.679657429723434,0.5922715560801213,0.7921818273297815,0.6195203787502159,0.7413199206764904,0.6812076411878566,0.66570601251447,0.6318181605788404,0.5390116258598391,0.5088872519650356,0.5461057007556637,0.6154890904870326,0.6633015817049498,1.349603324276014,0.6394646043961306,0.5116014000663007,0.5029504141858273,0.814094002230361,0.41023736216662904,0.6868015561822377,0.9191567203314176,1.5449007230442982,2.0081292873191074,1.9202546694330975],[0.5252959836579906,0.40621569446879713,0.45556749899924204,0.30901036159914724,0.3567556931567556,0.3327066981432522,0.24662098224308426,0.2846196380617601,0.3467711835152713,0.23789406546543337,0.2606133981883048,0.38922486452255256,0.2500060584340839,0.23792906610463171,0.31180189357749616,0.2879437896811523,0.30036609529394964,0.27925830181086253,0.31797787952896533,0.3241930808670109,0.34181234877163996,0.4149128386644698,0.5370720553401493,0.6258328982285373,0.5210154190587839,0.43642782007512526,0.3774256775680584,0.2714274090625778,0.2883521359392174,0.2970315556874388,0.3264816418683408,0.3288232639002695,0.4175865862588049,0.34277648807627203,0.2902962280640178,0.3036092799297001,0.3133969781551985,0.3521839706565064,0.2982363999359683,0.3606454840312353,0.7285343454714471,0.5132590059999057,0.43911014398257586,0.5114781616899851,0.8943290646752711,1.227823444504077,1.2544508570691557,0.642253624004667,0.5660451674674389,0.8299415240325962,0.6164514664804639,0.8672227721418011,0.5267700307593292,0.5277396553541407,1.2451850402059559,0.4658078133914472,0.49580277384049737,0.5776047257479807,0.6205477125769484,1.2169928071723952,0.5131707314961961,0.5299966073452594,0.44463999063038184,0.569196829169428,0.4616430659019267,0.4137733679631318,0.5489009678483969,0.3700703990668165,0.5044825114352196,0.47050972934733076,0.7385872821832752,0.9926019125147598,0.5873598859503183,0.7490686423405251,0.44152553633489316,0.9875050428405573,0.3477404795393083,0.3716451600489666,0.325870739057481,0.43643042948061095,0.3378881539354948,0.4237085876676823,0.9677010700743739,0.369116705793638,0.5548037978606669,0.3525478294229053,0.33595008994914943,0.42185265284443274,0.316733743204572,0.418425636080896,0.3642605324961612,0.6694614625757229,0.5132280889256355,0.3488607725722724,0.34398245586953347,0.4429231601203623,0.5139219523692228,0.3710799525740662,0.3622691326118962,0.5801375722465318,0.3504333668144216,0.4716672469844154,0.30369928264961576,0.3456841811521497,0.519436453791371,0.42418466673274974,0.595144444770098,0.36297614089757246,0.342657954425725,0.6552887054329426,0.333016930407202,0.2815751092481533,0.21836333292383145,0.27634237300021947,0.27034562592517125,0.3134874646789332,0.31985998463456133,0.3421160061364625,0.41656656573480094,0.3393593725771389,0.3142691865804427,0.3014809947631588,0.2878402029060039,0.21068270517563337,0.25040703998731756,0.33047958498592783,0.2539639847346342,0.30686447597278693,0.34263717625816065,0.4140356896221931,0.4400574914391193,0.4840706402721297,0.38691279961623715,0.44814551923352763,0.38418838479027423,0.39214157140528516,0.5258000981924202,0.5088468845430881,0.5396850766485903,0.4209781401532571,0.7161026794452182,0.6580939578426592,0.39459422965141083,0.31820393718267337,0.3206570474441419,0.3776419973896196,0.279845786131211,0.33310886207469015,0.23348771537642204,0.3035296336711608,0.3649745098519746,0.4896493762646896,0.7315848401863956,1.4439629675338013,1.0407519914578462,0.43185511261650833,0.344519494744123,0.3418984249622374,0.28337484609373126,0.29460074786317686,0.30582650325544636,0.31120858637353127,0.34771833118452045,0.3175047319309986,0.4808058297773486,0.5178937210814833,0.6485086203055683,1.0800813556388793,1.0272087891748536,0.9541196483788017,0.6228833671777079,0.4573009127209534,0.4596159160789422,0.3308725481806001,0.28785442680662565,0.3180123258650757,0.34041219105546827,0.5130234936704414,0.33877073457924867,0.32429440671798376,0.6572159541951154,0.3151030243607889,0.35986791826901765,0.4026842929217646,0.40801010469243104,0.5190612717749242,0.5673672920630007,0.7638139073872399,1.3592456765521381,0.9984426328541796,1.0545937813374873,0.7803780183661213,0.7594803379496705,0.6715681829551564,0.5360340439578847,0.5657697616458301,0.6592384608525359,0.5028800159192451,0.47327029109080354,0.697749567674112,0.4667719027374247,0.5124827880076267,0.49773059305256606,0.4234937093630882,0.44236660907003694,0.48323820417600744,0.453280345420341,0.4252868485366025,0.4989321813843265,0.4800776222221868,0.47029720616576454,0.519925422381144,0.6039804289110785,0.6386229141488083,0.6895252478367536,0.723145713264167,0.6390407806282423,0.6021204748814447,0.4942491816306992,0.5251862953322883,0.5130281086384694,1.4822538779530636,0.7708630161515336,1.3539476809882354,0.6433121133171515,0.5686692769675528,0.5673849961220999,0.6162466983664472,0.5660718348083708,0.4719174203237635,0.6271525303288092,0.6140155905669554,0.5880809399381351,0.5557926962191816,0.8666102670528574,0.6965733495270857,0.6507057956773765,0.8628237147510952,0.5113412230723295,0.7064938212053672,0.5792475014616575,0.6365924973555385,0.7662454072123026,0.8104195963249002,0.8815806910473771,0.7339514614577733,0.6435330937224152,0.7660007146395919,0.7204165806082622,0.5987253700520296,0.7394954126564921,0.8786011269945931,0.6057124346748645,0.5955509195203723,0.7306739310724141,0.7745936111197098,0.5868493421563626,0.5876506370312606,0.5453053949263394,0.5381660085656413,0.5361517228991162,0.5335652364384672,0.5076596923058454,0.4776956477423828,0.4933497928611324,0.4642930760154611,0.48090916950484786,0.4729059506410932,0.4964054956499074,0.6466365797649918,0.5297835413977223,0.5658044916163057,0.6613894565435837,0.9329763375019718,0.872842282838309,0.7000250350516303,1.0685567666504845,1.0517992447856541,0.85624984196053,0.7083159966963913,0.6061440379041652,0.5117201068553312,0.8481845990966732,0.5674482896332593,0.6585205383054595,0.6168203507418333,0.5634315434824895,0.5300515460430673,0.43733577905488585,0.4521173389884344,0.427000368167348,0.5436822643572419,0.6162103788886638,1.3870763163170976,0.5667793992058108,0.4731047456787903,0.5275172016845877,0.7966528655553161,0.4210089649345386,0.6824948966875704,0.8147208570779527,2.1251273656218745,2.8396608506309997,2.3843369223473907],[0.5329994871688125,0.34937254183198563,0.3478885435325817,0.2642397498564453,0.31004030473909433,0.2925443024350103,0.18580987736408097,0.25368998255935205,0.3013743075953171,0.2544802413658151,0.28106727528661063,0.4011707368330909,0.2844451824323256,0.31446156167347916,0.3692688563323122,0.32976509122978814,0.36057907813630397,0.33583825114445764,0.36838391068605797,0.37080365653546216,0.3736224500329062,0.42288782649904805,0.5542722379045781,0.5960301704266279,0.5028544995210159,0.43364045163187753,0.38101953171389896,0.3163575550446273,0.34831392817824836,0.35654671368470875,0.37496244166119364,0.3922509841323592,0.47028787693750335,0.4001332477999949,0.35748659048221165,0.35879459713747297,0.3681746149244472,0.37113758366496297,0.3294013527783915,0.3483633238303307,0.7586894927323083,0.5281406492477545,0.44411277307017244,0.5504678360339487,0.8828664106455663,1.2463092439468835,1.2177950997873255,0.6349400165358151,0.5873405202731703,0.8098514263230734,0.5953121683359328,0.806396207197365,0.5083241628794802,0.49680110404629624,1.2718936854968788,0.47975920455363025,0.5012988058335395,0.5713111697728532,0.6667720363364671,1.1624921195603513,0.5197855102891437,0.5573016029981034,0.4798693221223871,0.5881820471904241,0.4908761332419826,0.44560949924657833,0.5707157430773435,0.45720032746070643,0.5519080107886807,0.5037499412629718,0.8066259107432765,1.0783079023234174,0.650592015712123,0.7658370485335636,0.49361924404808605,1.0089855001553272,0.404979352198949,0.42028712086186787,0.38067309385140574,0.469072658791366,0.36354917502085105,0.42442944087870954,0.9567000903244995,0.39366606513653174,0.5018473451665741,0.36782572555954945,0.3623301427827803,0.45407463158740324,0.3601570589600983,0.46091768024985474,0.402145391141282,0.6262464017074704,0.4968881814699292,0.41138115913621315,0.40298754325498715,0.47412689645296674,0.5395722740643402,0.4079661480123429,0.38361264049799015,0.6096199945048362,0.3787583638249484,0.5044300337270426,0.33184365522417086,0.3727494907441094,0.5184488088211804,0.4229384748898722,0.6703994739531387,0.3828115910192524,0.39502932920201794,0.7016437176168147,0.3614860263272147,0.2858189160933842,0.22135038098737708,0.3232451760407498,0.3232227980916272,0.32083573093860496,0.3578800628903259,0.35666490178995264,0.4322336211954251,0.3982648562242911,0.36217027851256905,0.34333401235607913,0.3065843833640912,0.2643840958339866,0.29161066404388486,0.34838497844512806,0.29225968252801166,0.3303384207038256,0.34252531444630185,0.38718388793529923,0.4023957355454765,0.47658732244809554,0.3865493610210515,0.4708478815301715,0.4083765907378824,0.41104823648479527,0.5770908163199451,0.6526918720611915,0.6516700870115861,0.40637554431395845,0.6891360827525039,0.6183594691690364,0.39726579949283175,0.342050532212398,0.3620648723814197,0.39551824335644,0.30395079841786504,0.368839144406589,0.23775620924301222,0.2931799126832865,0.3719961049168611,0.4532900468269273,0.7769268315481124,1.4613913302108628,1.0004762739893294,0.4603562553333778,0.3602291814394319,0.3551120650651435,0.30068228189492374,0.3130572247203179,0.30560082033213537,0.32988314110708655,0.37714442907047063,0.32353994074400805,0.5498008621782359,0.5253097743021828,0.6792176173200927,1.055832646464284,1.058828356381535,1.0084848669912345,0.6921121029485325,0.48987486690932186,0.47457179169498603,0.3572174124069547,0.30988090047108807,0.3342432466858788,0.3517683002164172,0.5480713208236109,0.34314243742856654,0.34359284628528974,0.6568888999398347,0.3126322606621575,0.3480639319442288,0.38339772934083327,0.4067611866185403,0.4973346840143725,0.5383506436829834,0.744395015750203,1.340625654356265,0.9775488175846516,1.0075990345694197,0.6980549832595516,0.7214280409238187,0.6468602516768426,0.5172809358949731,0.533220762357579,0.6347100465709191,0.4279880590517662,0.40599201913869803,0.5969301863078397,0.3966906292227656,0.4480324589997775,0.42433601468480375,0.3722708513033041,0.40734084890427746,0.4399189812021603,0.41923533557510656,0.4192867938708287,0.4986494313043859,0.4646424394348397,0.4873698154107386,0.5378558990242915,0.6126219442846487,0.6644502400151997,0.7101406237788039,0.7492204561216964,0.6663688887677323,0.6467920704309903,0.5179166878180236,0.5635277888644694,0.5394053402951989,1.5698028071756276,0.8068915778450474,1.4216152975671041,0.6536745677475602,0.5858812565385283,0.5775746572362129,0.5845999802957935,0.5405908032841603,0.44638254970228614,0.5774949723486961,0.553887115674301,0.5859765650033495,0.5001929071261515,0.7840537692625104,0.6455120624904103,0.6130340652627029,0.8192386771185481,0.4565127096019631,0.6051825104862714,0.5112879938281005,0.6047771908433076,0.7076158622837496,0.8286307055483413,0.8388017662123808,0.6883402327118375,0.6273708588117798,0.7506259577574885,0.6968262285830907,0.5916939088809448,0.753422235506292,0.8994784823310875,0.6142807062252474,0.618598634366591,0.764122258827453,0.7915949438183815,0.5974734486890017,0.6100298785997502,0.5558408341615269,0.5426123964837496,0.5164144435976052,0.5101935377050776,0.5028837010613382,0.46679290264665,0.4751864621410052,0.4591146463284046,0.4879297843446309,0.45472595099913254,0.47032757615948406,0.6174377506114497,0.5176713636731353,0.5216345777166417,0.5985046510417563,0.8547099246139825,0.8219679232069118,0.6851964839116522,0.9357370978569778,1.0030107876308234,0.929706538961171,0.7250474664503515,0.626937593881787,0.5248827800269384,0.8568865678033751,0.6060050590796953,0.6787827486415751,0.6117686591476706,0.5130850061093446,0.5044517651312812,0.38766126565482706,0.4211327305570238,0.38264742136475083,0.5015140420474454,0.6023338360534506,1.4100950202529356,0.5332376627628331,0.45828427444834374,0.5046164841150588,0.7541364456739115,0.40018693412957473,0.6440047477547152,0.8091411119431566,2.071915537769838,2.788860630304475,2.2539795589832394],[0.5995789034839083,0.38595183900272073,0.3981619575866612,0.3232112067197044,0.30062786310374406,0.32254471414346714,0.2094632798584083,0.256386187107685,0.28546395938690866,0.2645753719234589,0.2945154303573939,0.3962080870160113,0.29247688954637047,0.29834891414233355,0.4080547252151219,0.3427411269417535,0.3546678570358346,0.3381826536191006,0.35304355825942607,0.36361241583481285,0.36451719404645677,0.39184364882367984,0.5108282480071805,0.5512390002452305,0.44524679959090036,0.3914989716299047,0.32253983075269094,0.28437408475590437,0.33284027239937214,0.3441074652229916,0.39243578612099167,0.40269760496837426,0.4856200028498587,0.4188149898246432,0.364934789884315,0.3451228096096959,0.35372823075793836,0.3491607299889098,0.33412257766723974,0.34980065380287395,0.7246030420053138,0.47916973739625496,0.4081410022035813,0.5199068323197502,0.7981460448125275,1.1969239943098942,1.105757798939614,0.5839047458056418,0.5884122517850819,0.775870364088821,0.5972600471464069,0.768738222723873,0.5053903480042832,0.4953122093059287,1.3284449449279672,0.53340941829755,0.474777786001679,0.594072982263693,0.7341625083286817,1.062225825246722,0.47850303542342804,0.5492767405341655,0.4908429448505893,0.6042933054006232,0.4563932160038349,0.4247810312938408,0.6027143313218463,0.4659163103290106,0.5421126367634648,0.5013903405411191,0.8391843499511706,1.198827069598345,0.6974794860148235,0.7694536705775012,0.48979046518248665,1.0455821804864014,0.3938505144500359,0.4358068796055256,0.38828854079021763,0.45803863008869766,0.3786697160505612,0.44941016542102585,1.0228903711224655,0.4284604780289919,0.5360581597149309,0.3764600812275339,0.35225924952230636,0.44533744259318203,0.35227540722058265,0.4882025761418843,0.4055538936090392,0.6270621299296717,0.5047173941878126,0.4238168272042055,0.4101971811330165,0.48429864254472504,0.546687317865151,0.40679848899135124,0.3812609541926324,0.6511980736337858,0.4174632292258364,0.49716023121350184,0.36661086130353465,0.4025768446714993,0.48348871782504793,0.40420413528539584,0.664900471878373,0.349291559449511,0.3623373113936384,0.7107394630201525,0.31348568781539565,0.2787505763871267,0.2490990969996431,0.3415546487614628,0.37823118410576934,0.30663665232199816,0.334071680183263,0.3175085293801124,0.41437746093140837,0.4140422147313635,0.34099501621669465,0.3167183768900494,0.2794339985710209,0.2706545520749292,0.291415643623285,0.3215022950060438,0.2659901568332297,0.3080597694372405,0.29040085610038924,0.3431409877805853,0.34816054962204146,0.42898191972814914,0.3291780559783395,0.4577255706346995,0.39132319685637684,0.3865762651059763,0.5836492384042001,0.6591157497667075,0.7482623578114458,0.3516882096365038,0.6304130420776497,0.5140471060711165,0.35229513806559354,0.32653659657134765,0.3274420067824567,0.37796131347757905,0.29284415286242327,0.375982144837522,0.26315097729489245,0.3012246830653766,0.40147637367132916,0.48481578127857067,0.7959748222473032,1.5806017389907498,1.0746999430338373,0.4895205492898272,0.3709838604741519,0.38726097574769786,0.33004714423857046,0.3462844562409083,0.31343910332198643,0.3341988394796105,0.34651800978769,0.3067131729753822,0.5567346410943737,0.4610566014314001,0.5855160258146164,0.9020802925887704,0.9211145135077873,0.9125879964936362,0.6203133759929936,0.4490810350578239,0.4588312563879423,0.3104896918283137,0.29614842666491814,0.36304756240548886,0.40206769187986685,0.6457390366163267,0.34730532648216295,0.4049438227687606,0.5645460506600103,0.2875987304086733,0.2939073556975785,0.32470216153173104,0.35985456626591344,0.45413161841228267,0.49673454148038443,0.7194752204029438,1.2805639394551087,0.8828006243835419,0.8807193192241513,0.6506072713804448,0.637762974137784,0.563869530531559,0.4309721213520145,0.4455731708488712,0.6119757682810409,0.3753808872028254,0.3777242295429852,0.5157378618259213,0.3722519749591169,0.4206849518676365,0.36777644703510154,0.3398932089868951,0.40244770677411207,0.4276586117077065,0.42688270814390084,0.4153568393891074,0.5100482038995439,0.47370958874173136,0.5136231548038775,0.5477535466297397,0.604859067546568,0.7108939462989831,0.6916332913907045,0.7088573926674284,0.685095392468321,0.6265359947027543,0.5212922680454118,0.5691962708724061,0.5579835980886081,1.790176552457276,0.7932539713035246,1.410825900843955,0.6377100400535045,0.6265791594761557,0.5806061548268752,0.6346712490947158,0.5203751495750563,0.43150980113204424,0.5814477895525917,0.5030941571481808,0.5020333989132887,0.4389058686704928,0.8120559073948695,0.5315624725836974,0.5390772967846621,0.7811973869465401,0.42650567365540465,0.5619966528718144,0.528049652323525,0.6048012373242863,0.7191296475838378,0.8547954335343242,0.8552198285624351,0.7069229373929675,0.6499987732544695,0.8198205229630792,0.7052369986518232,0.6008372599598089,0.8040910704102484,0.9201865418850884,0.6163710805814178,0.6496395809943789,0.8098361591746732,0.7987848671017913,0.6186918496387063,0.6372010177924816,0.5720430792440673,0.5674866270362134,0.5390665690468113,0.5397746987942711,0.5209465324834202,0.4683271446952071,0.4787517330295837,0.45614182663516684,0.49302454490585695,0.42461871415548325,0.4498589264226038,0.5778264852899594,0.5144720154473814,0.4833184656814242,0.5680596246226485,0.8017035266541556,0.7986733179343384,0.6661994061702011,0.8688439098759009,0.9767653339137489,0.8777980180553316,0.6924074104130609,0.6034959693513747,0.5394418470135216,0.876979526325172,0.6124540329729422,0.6554391425439151,0.6093256426330043,0.486640939557797,0.48822885969146607,0.3576765307002848,0.39600515051979585,0.33241379929763093,0.4492110891638217,0.6256493303590186,1.540286379219454,0.4447133441079435,0.5057283058313075,0.6514988643180963,0.7014969333609473,0.49880800784647283,0.6750821177695606,1.1132418194456293,2.956498113265662,4.108838047246052,3.814414809304693],[0.644359111442963,0.40001091861977955,0.4037867026582902,0.34225642537983364,0.33532130619549155,0.3391660342024441,0.1954553235886859,0.3109019531421365,0.2945854880873859,0.2798400274487336,0.3342556460529544,0.446845853504123,0.34456778759838697,0.32538838270744236,0.4634602222987927,0.3847035297974877,0.3669806602477899,0.3796081603630086,0.37791753365348824,0.40297519673678944,0.39447667686688875,0.40287126000146956,0.517078367510463,0.5381077850413277,0.4468143943432941,0.39272979019602466,0.3436606830910549,0.3210216509283295,0.38717202408229956,0.3992023604774681,0.4084316864743259,0.4417884585483085,0.5299477612788078,0.4682244995515714,0.4081183559541621,0.40247657660167385,0.3949871334847441,0.4003318247137829,0.36641695179710626,0.377042826226136,0.7325613811864812,0.5017327729856561,0.4255167662304473,0.5858009311480897,0.8071213735118361,1.2155777797648166,1.092254718857659,0.6192128401870785,0.6173797036642308,0.7723882081603152,0.5981783328742005,0.7438527194887872,0.5223457233573657,0.48251899363114453,1.3389737518046256,0.5632766458217574,0.5003834046568678,0.5937015609400688,0.7510036554818791,1.0219118946665025,0.4864748160875163,0.5736575966851013,0.5380276212419693,0.6077275584929724,0.4595253575543948,0.4523994173302871,0.6384525540879125,0.5114152982496845,0.5760824083451922,0.5407202187133013,0.8589083104452507,1.236761578447871,0.7340670886667867,0.7658976021760872,0.5283872740199884,1.0018404758813397,0.4378149848962785,0.4715316002253033,0.4439817421573228,0.4919503972881863,0.43560994086098487,0.47257583461278696,1.0387395395071266,0.48585710459319675,0.4899002448390328,0.41019778170503407,0.38115485839646296,0.483546185315463,0.3973432887073531,0.5244608830471991,0.43421132566747395,0.6166055289207271,0.5050361808523736,0.4495017754954569,0.4328294628376861,0.5012771204678429,0.5478183584001723,0.44261969022577496,0.43310757903472014,0.6768330872614007,0.462773789568195,0.541816496947373,0.39177378243071975,0.41496755601719715,0.5002424117834151,0.4125402712856555,0.7220703515353402,0.37620042672334236,0.39991434751452887,0.7037461448035733,0.3464245522093859,0.2719248041828884,0.24787134435574248,0.342642646607333,0.36162805127887837,0.3303695449096406,0.3913863162405652,0.3361854609554512,0.40711793185556294,0.4338272815538877,0.34584342605164614,0.31979175661461634,0.290635535619868,0.2884175448913483,0.30122066354174476,0.3148001828069735,0.2905230952746829,0.3321430733719425,0.3041523828139037,0.3427072959275753,0.3402532751250248,0.427183166553263,0.33665269421612687,0.4874659469621514,0.40762632782547514,0.419936245622797,0.6334957559394404,0.771375706655707,0.8099284206393522,0.3677882847360204,0.6087168263086715,0.5045026782514439,0.371712063476029,0.3445273007667,0.36591393791531457,0.3961323990518867,0.3153706257991908,0.3893275581738493,0.2691441268314491,0.3014775872767703,0.40264190821869,0.4814364326480956,0.8891954365284195,1.5496794766417343,1.0100244975555408,0.5437827836843324,0.40721139495012537,0.41364914619619353,0.35135770130386434,0.3701960082786774,0.3090478448906806,0.3500586544516599,0.36042545612364113,0.3107396883374078,0.5861262128540274,0.49386124491759914,0.6265793294388078,0.9047323727421296,0.9610177384874298,0.9586690086549785,0.6854626189251535,0.4979578145820577,0.47020030253191153,0.3450620062068821,0.3119235470647301,0.3793107336849725,0.40732172789406473,0.6746404148210753,0.36724179964760517,0.4300857306124962,0.6009539195905723,0.32507756753996847,0.33223904452578285,0.35324058221648913,0.3801815888276784,0.47307934786710565,0.49848894914316294,0.7077967000529226,1.2425939810887594,0.8704334276651363,0.8374075567833543,0.5985766968676823,0.6427081769102709,0.584543518568288,0.43229293746833736,0.4291814341552283,0.6019016783269189,0.3548631899252506,0.3585172084104094,0.4626203451315648,0.38521746022956815,0.4350720899983446,0.37138753777244343,0.3685045239727786,0.4394943542744539,0.44114691235746967,0.4444936982288382,0.4539202734780983,0.5412620925886384,0.49618781248938115,0.5471964559917939,0.5841190821025303,0.6303774298411837,0.7564073916276998,0.7051269130425573,0.6976168884902247,0.7209786578543189,0.6575043570583188,0.5556012601451769,0.6202470815509376,0.6217190503470181,1.8916584684667068,0.8466982718491597,1.451635622442075,0.669652725177677,0.6771577929599597,0.6278329571575553,0.6487673819073027,0.5598653604137467,0.46074544790281763,0.5887849434341565,0.49467878869279974,0.5174926776175774,0.43531117199825464,0.7765983404219207,0.5450034014202083,0.5459245638214706,0.7711675838537548,0.441307790514861,0.556183684317186,0.5163713435304931,0.602288478561503,0.6849588898800794,0.8732603360766418,0.8385367236160775,0.690652159143632,0.6679606230279768,0.8287348648490853,0.711908118932412,0.6301890300387435,0.8415753230349494,0.9532621926562804,0.6528061445719735,0.697245651326337,0.8502650641325454,0.831702622078861,0.6606931232958816,0.6846840605186156,0.6193983065470793,0.6063273655877739,0.5715874666461431,0.5779395710022722,0.5612915694197302,0.5079534725101322,0.5220179412906655,0.5028191101692046,0.5294129506947818,0.4595354492870044,0.48144101946172047,0.5921320501096533,0.5562503182762222,0.4952322047437594,0.5822702542475311,0.7798941719705194,0.8038722483115263,0.7051637191704608,0.82810511946288,0.968542632028646,0.9068618492521144,0.7330211770684564,0.6358285194281882,0.6052793499391976,0.9330560209631599,0.6741787740048358,0.6901690430958463,0.627602423833925,0.47798020821620824,0.5074848033325458,0.3586037976715582,0.3674760895021405,0.35379160581682745,0.44862282194670006,0.6481125967392593,1.5589835556075946,0.4505584885680564,0.5282310744749801,0.6559306460013893,0.6849288954865083,0.506891012971541,0.6893609184549448,1.1469558610669384,2.951316522058955,4.035403436101389,3.666070878999076],[0.6792260285130505,0.4241981562606699,0.4802592029513004,0.4490867674513207,0.44745472288251276,0.44457316371985045,0.33661834078558567,0.3990508545326915,0.32159039061275146,0.30801594704351126,0.3537216782656597,0.4587420548555399,0.38178977012190635,0.33291252239886066,0.5078718174906991,0.43244131633285615,0.39556652125296643,0.42066473776798885,0.4453323071163268,0.4604973511091174,0.45373682126501114,0.4299125850569608,0.5516232773426373,0.5747192150618888,0.4678328734389152,0.42980260184248736,0.38983597467219716,0.37214337388992486,0.4368501202249419,0.4489789369406748,0.45965709729430215,0.4946127475075645,0.5946183630311739,0.5353279453992736,0.47298905162809746,0.44650325414912895,0.44883041535801904,0.4484195420904528,0.41437294205013797,0.42601443494614893,0.7303930447245526,0.5178510247494413,0.45447508687506927,0.605990156234416,0.7801593763197534,1.1696111117942982,1.029290473441146,0.6260078515797801,0.6482606638774732,0.7788622237940527,0.648889215297566,0.7759168381089796,0.5545120368967779,0.536284072250323,1.346366370920251,0.6300021862424493,0.5389197000204077,0.6285455541262674,0.817696901398367,1.0087214189539122,0.5410981354460779,0.6168507128988554,0.5914210372646825,0.6793471119944754,0.5020724205452597,0.4969162938922905,0.7016901378578997,0.5519431322977313,0.594485110318679,0.566030486948113,0.8856613261513245,1.351450681398378,0.8154567055830436,0.8172352531823361,0.5456939685082829,1.048588514964482,0.4950369863170335,0.5413772646807976,0.503948586145043,0.5490018918112466,0.5144158986466174,0.5315935575080271,1.0463763520819322,0.5872351029683587,0.5503536057763561,0.4551464440414528,0.4338417528010834,0.5509416250932074,0.4519139473801262,0.5762846391741133,0.4963468485769705,0.6073121523450267,0.5309885467824714,0.5042741545406723,0.47974717281428514,0.5298427296406274,0.5921808488550367,0.505124835266826,0.5061507562997859,0.7692109345960653,0.5400141764196881,0.6031819628621695,0.47986503827858074,0.5237713005500859,0.5472653804412512,0.47657490325510493,0.8048104996979311,0.44978735421177546,0.469889121953738,0.7357605836018867,0.42212461869859047,0.37634007921644563,0.3585531331959171,0.4094164363260847,0.4663723922219747,0.394610256544752,0.41434407672014173,0.38402808713156567,0.4520193026237604,0.4622908493581755,0.3882073371511777,0.34174395679083824,0.35368126325679966,0.3850659813843713,0.3968141891331246,0.4176351863074789,0.41765022742531527,0.43406685371079695,0.3950404900754647,0.4056802985068757,0.4186825004045586,0.5022864307275481,0.4108897833522628,0.569231222130666,0.46637863776355765,0.4665182829315294,0.7147695861200573,0.7943991661836561,0.8607883958669637,0.43463174424507933,0.6526843249237493,0.5618819578010111,0.42803694824774197,0.4133955132037416,0.40003416111932,0.4429468311678502,0.3789816792768637,0.4318159520031263,0.3744203187174609,0.3838867480283009,0.4859289429648992,0.538480151065882,1.0225573913221728,1.7398676970459797,1.0479091016071094,0.6365578782180822,0.48598954740214517,0.5065045817399395,0.44538361107470353,0.47842638203678645,0.39828530962421427,0.4259365611945747,0.4350313067272759,0.3981262324199554,0.6363031389628805,0.5245296640019516,0.6208515800759801,0.8655007150157878,0.9110482744562788,0.9206158946770241,0.672535681113056,0.5162408363724701,0.5099682919130825,0.41761011090781336,0.4056902232044232,0.4608013448100725,0.48830489787072423,0.7646805898649398,0.45087271264587747,0.5451514739986764,0.6062185771552377,0.4111278732578983,0.41250663510749147,0.40611365844163216,0.4322777304715366,0.49076515156189027,0.5091095573509545,0.7320384584956882,1.2142427087005179,0.8466933655342409,0.8307458362582776,0.6536760970483446,0.6663306693401227,0.6190125266531227,0.4799574408485478,0.48499768537499277,0.670345414497344,0.4395248984265978,0.42741858436790386,0.4931457387954114,0.4301174298584868,0.4517957359431733,0.41175482885757897,0.430967410753592,0.4723048922105063,0.4612903317463644,0.5111828207385319,0.5132958929451881,0.549180819255187,0.5343480120407861,0.6071395982592126,0.6163788075300857,0.6342146781005774,0.8057953365453662,0.7620979493084769,0.7561770880405028,0.7845963087268265,0.7334604268108257,0.6369603227255872,0.6852184525560311,0.707800807949159,2.0398005315466228,0.9070833050909733,1.4548688068294324,0.6812906594694368,0.71895496470031,0.659974107607346,0.6896942768323413,0.6089237198508536,0.49235119061721705,0.6037960016881355,0.5260972494220351,0.5840654078471362,0.47955077872409957,0.7902416543045249,0.5746724847697888,0.6077294376804798,0.792074092173899,0.4880318031775069,0.5873960269057458,0.5538769996479497,0.639453153897557,0.7042424361023287,0.9347904284261811,0.8532243174179766,0.7199492564659195,0.6655125865983842,0.8275121317706999,0.6989764966924178,0.6382924066789347,0.8349203796875965,0.9189024376720594,0.6314610433599895,0.7002880714119329,0.8502380574452989,0.7927634334026862,0.6579662438454953,0.6953569975844537,0.6362503912512255,0.6172858138561921,0.5861738314040451,0.599972907856351,0.6019012544842752,0.5447585765762675,0.558724928088923,0.5541000959630866,0.5824639834004824,0.5127248774735319,0.5296327299854577,0.657514061892851,0.6349709558851708,0.5557760399530947,0.622264017210515,0.8332509556579207,0.8466801813744322,0.7587249383345824,0.8479936734987674,0.9719676127523369,0.9861328643859298,0.808599015334891,0.6988182503807396,0.679880039271823,0.9753163875591743,0.7598238170623439,0.7696220807998428,0.6845293889600771,0.5504957717850325,0.5758046925244992,0.44747980279384963,0.44451491939891047,0.41438968193643655,0.45809672659195005,0.6415186914692317,1.5213606113063483,0.4383028182404905,0.5519975669104176,0.6811498861856015,0.6253509630894707,0.5100602919443536,0.7205574325971272,1.2926303108651618,3.290383159486747,4.669300681570073,4.547658952128954],[0.6345661751060987,0.42828166318648947,0.4915686388742136,0.39191126101254947,0.42146563783965246,0.38566850242497025,0.3097791770019134,0.41098279488705786,0.31170278795520445,0.3090966150714145,0.3714880135672728,0.46846401058042425,0.40917191844748985,0.3536976052368522,0.5413519899613,0.4505184790469392,0.39326869839914547,0.43746192848284615,0.42705186664882394,0.46236426643072076,0.4549424520340316,0.45488960949088725,0.5379348496207765,0.5436427705841252,0.4661562783528837,0.4254081826306746,0.37488625340684045,0.3700727185152962,0.46114849118192097,0.4825361647110641,0.4821263316335252,0.4983466022427678,0.5887933757068188,0.5526084302957777,0.5012690323220881,0.4716641090339252,0.4955116366800009,0.4648983249539196,0.4245489495393342,0.44747377148330963,0.7827157433874827,0.5289295430520655,0.45223792566455556,0.6157064031489706,0.8048712972908962,1.232093235414086,1.0437207159698745,0.5887715124877066,0.6848112458129495,0.7814774019448797,0.6423044484168429,0.7041604971428364,0.5878392086439065,0.5110066791158075,1.38100912820793,0.6887501797132195,0.5467644581140931,0.638132093559175,0.8535518258034164,0.9574103950377312,0.49150480849022066,0.613480370139285,0.584758166743352,0.6759140782739244,0.49612020811687596,0.495899347695101,0.6873274496833258,0.5707107081155391,0.6024256312315753,0.5872272732171077,0.9151023566271503,1.3354702558912597,0.8039779534212373,0.7903224757460507,0.5784354788430749,1.0068414592367128,0.5037626834907307,0.5435724087085553,0.5111432705912284,0.586392987054812,0.5681497013020101,0.5639054151973659,1.0469174245241677,0.6011762549471087,0.5577930845027966,0.5112936971603752,0.4701447453773408,0.5933617461812439,0.481168617854322,0.6041669984169515,0.5121812429185244,0.6080311115700425,0.546519465877653,0.5201120992815127,0.5009936757454798,0.5498408913344089,0.6025827394865685,0.5203633573407507,0.5259087519067223,0.7879609179089347,0.5559106203664936,0.6436540262478395,0.5025478466925857,0.5434128257548464,0.5748402716510645,0.5026621666956296,0.8418970658005827,0.4895394451063287,0.5024120823324095,0.7580624329011744,0.43030479352085177,0.37687078906920085,0.35845034406107434,0.4132253227166266,0.426555390721575,0.38959486056235604,0.44108116945107195,0.3812290693260606,0.4169903739743039,0.4645098076332914,0.3753550655699809,0.33791864000111316,0.3273836748327426,0.3345374297014524,0.35313418241785466,0.363903106605523,0.3668475383544725,0.4066570102997858,0.38303672444208997,0.42603495657681906,0.42685625848683373,0.5154189475650561,0.4176259825605041,0.5891847364341927,0.46843715228072885,0.4866639637873809,0.7174756606776334,0.8572064129016701,0.8738457818674562,0.4137632237065938,0.6296753244910371,0.5051743866055264,0.3884931588829719,0.38519200560625266,0.43016749927139325,0.43860117196555226,0.36332028191903776,0.4373168768617387,0.3603693836584861,0.37567144739729286,0.49941039974708007,0.5105407730584031,1.039765042417696,1.540296767616833,0.9148264252062925,0.6503023473348445,0.5002061038948425,0.5316608496038825,0.4478302483233313,0.4772869863958943,0.37613218178073493,0.4207885652456838,0.40189815551216806,0.3766001154508388,0.699356290412987,0.530105361959598,0.6788649307798134,0.9026012696732708,0.9949397906030103,1.0041284312071803,0.7547423346761355,0.5555058592442298,0.5356580935151319,0.3841603316058968,0.3999061052983727,0.4846465983671377,0.4903933236788034,0.7892376111772627,0.47114065153810825,0.5449114689695099,0.5523858658006031,0.4017380413063232,0.3997301925615401,0.42016613323458435,0.4337701662911875,0.49444279525500434,0.5189254708305953,0.7294499935152303,1.2075506298617995,0.8650692893805112,0.815249999549356,0.6152960259998649,0.6406558693391511,0.6011977335132047,0.4691158034425869,0.5003375760218473,0.7043379004655855,0.48909418165145413,0.46488980470243785,0.4840405926980372,0.5030759933407135,0.5287057587256389,0.465131233303653,0.4870059632040431,0.5267288753215292,0.5044606953148064,0.5692420001673563,0.5485655555461213,0.5838007994063913,0.5744053640289586,0.6448097503207043,0.641817378889565,0.6576065513603342,0.8769697894010263,0.7804396294786592,0.7580400781864451,0.8129618926016594,0.7503605684716385,0.664338738802379,0.7257279728382812,0.7617654516759298,2.1544117305404535,0.9620862822979465,1.4924868638486126,0.7271162102208764,0.7662510557137729,0.7331602208591279,0.7597691138360416,0.6508979528669637,0.5588135405078724,0.7064599377069151,0.6332207939942339,0.6598688827372523,0.5711770470263716,0.8689130745775725,0.6208769930282207,0.621457919697273,0.8088647947749653,0.5525386338608274,0.6577154189692874,0.6399063378235224,0.7371156962219999,0.7888245605305827,0.9945239068272042,0.908390738853072,0.8183053999773593,0.7514170257018122,0.9006190891477044,0.777257782754185,0.7012687174280255,0.8916743018141717,0.9672743262893211,0.6739531643335082,0.7425248433284213,0.8800766894765394,0.7966098319021598,0.6838012310758147,0.7298066434113097,0.6722423246709045,0.6604703683231387,0.6440553706570756,0.6494750992002636,0.6432972152059842,0.5767615268474293,0.6057224380899168,0.6017377566592813,0.6223574559525379,0.564817157165432,0.5711089834690729,0.684186709037305,0.6759594300888078,0.5912397543571052,0.6531894550253516,0.7822544227770714,0.8337901761085383,0.7814148264636626,0.8595742876159707,0.9830434683838628,1.026414322866453,0.8227898315677982,0.7071260438065755,0.7368447423116661,1.025261651324626,0.8057933918014212,0.7894574364203965,0.7047370662706542,0.5682532617294885,0.5898133048696331,0.4921470480495706,0.4331946685045885,0.4480749114761929,0.47187198413706605,0.6677217537712282,1.5086718726327115,0.42624337802216716,0.5717960294324683,0.6663466374181349,0.6129732310115823,0.4632720781403103,0.7823940230187068,1.3849137447079025,3.334203969418884,4.583009488707411,4.441175629817133],[0.8544173112139772,0.632020315089033,0.6080665338313339,0.4835887773424824,0.47242395368758355,0.42795220374577686,0.349226628720277,0.5019764809238296,0.37663105908243294,0.3705314129428421,0.46069144758916064,0.6054973272568496,0.5146238761759937,0.42856743044690665,0.6927790736470338,0.6062507140889226,0.5164453380111061,0.5991426947982001,0.5571104641899741,0.6199781884208478,0.6043932781849597,0.6101922902470971,0.6584486002618493,0.674438907674753,0.5135319558521686,0.49903690192414435,0.49745549149697726,0.45908650097921916,0.5904065845207337,0.6287820156626995,0.6685987919429878,0.7178533003455327,0.8420120107023428,0.804012225310102,0.7487425908270936,0.6746794446248059,0.6857333262793308,0.6364552768467581,0.5771905615044397,0.603056050405094,0.7405501730748515,0.6141944580264667,0.5847353004784305,0.7530781896705095,0.7857028004363268,1.1255792943784715,0.9484929764058136,0.7401562403940383,0.7561152585441508,0.8060360749222342,0.7818141728455545,0.8591765341806028,0.7604497312616078,0.7011898176172395,1.4809636285852545,0.8490266867682473,0.7220756660425895,0.7949338536003006,1.0131496511493037,1.0511837201695275,0.6788120172990844,0.7967874313000178,0.7879804442433533,0.9153367710507424,0.6917980717749518,0.6791155368210122,0.9133763729021687,0.7904363652536847,0.7386910494227321,0.7255779830471704,0.9976413848829643,1.4937573792564214,0.9813127163917271,0.975430554037718,0.7338247498031634,1.119127103594602,0.7303327974222413,0.8092018996870086,0.7681390843638809,0.7805930932474247,0.7425309827758751,0.7336386796822518,1.1638170787442264,0.8817774858184022,0.6734013959281928,0.6624499619049102,0.6608308683951322,0.8085422983977409,0.7095100993943978,0.8075864611062571,0.7450245014798293,0.7977444336727127,0.7885930736921066,0.7798774592650288,0.7107497337596104,0.7838644436175067,0.7698879040618597,0.7586057435504193,0.755238335459706,0.9782995054365894,0.7736799792483326,0.8321214677801226,0.7515339553888771,0.7608457592128628,0.735548640410272,0.6979146010751577,1.0004916619627342,0.6722548085838552,0.6505256148455832,0.8516142795039853,0.5799974650662418,0.5113158634320908,0.4473423867996074,0.4544687159079459,0.497568403010951,0.4146895785791184,0.43187280371542014,0.3792576039126916,0.5164776938041826,0.5528589307877764,0.46252058705998317,0.38959047363761895,0.3252644578207474,0.32968490545788365,0.34998270794167047,0.3901106135517833,0.46204847946782346,0.49094950475634097,0.49959159607616127,0.5575653773703937,0.5606788696285855,0.6650902105080522,0.5418079124994549,0.7150355264030402,0.5533691232968996,0.5280235474520565,0.7402788846441903,0.8345473859499954,0.8895524765747949,0.3903876111400974,0.5803122976002525,0.46951405248750927,0.42246599089818576,0.4285061375237852,0.4438405867983281,0.5225848314015551,0.4268308873703928,0.5157677093734617,0.47852709279238703,0.4602402702387716,0.6266738454068197,0.6420478147619292,1.2625583282159614,1.7620618951935414,1.0485829254696237,0.8821278885583177,0.6786634100890668,0.721771137103919,0.6272653043758442,0.6052393654415619,0.4938470983468793,0.5409922163699111,0.4796247228018215,0.4883192663342927,0.7151670229332819,0.5015028019123784,0.6711283561986805,0.8522178903220642,0.943579275556092,0.9673985933155511,0.7294801694663375,0.5413444257992741,0.5465258420866561,0.5360351231556141,0.5497269278095911,0.6433425016453468,0.6428822619182418,0.9019370228394088,0.6384547610869442,0.7261270275849958,0.7124312604439057,0.5750030728514457,0.5617104804549928,0.5618864103137087,0.5514543230849491,0.6258274575235754,0.5897867875417595,0.7536778722054771,1.21302498728357,0.8676282646802816,0.7991737189973072,0.6532775844878076,0.6864940824336545,0.6403560271661696,0.5775707004086135,0.627317590420502,0.8027937697851676,0.6150042130618012,0.6021423723721587,0.6265218162530435,0.6639793397975394,0.697318276308721,0.6168040218681421,0.6416651630401741,0.7029657014578496,0.6712660153072528,0.7028783885083533,0.7141709805869844,0.7654372177485989,0.7411578801732265,0.7962830916762815,0.8216419270499603,0.8268633247201852,1.0239705746971668,0.9544779483314826,0.8879707961940858,0.9829772201420908,0.8876088758739998,0.8327565732789812,0.8922784434475712,0.9311640055251953,2.3629647563785405,1.1013082222277877,1.5771751839737267,0.9025484252597701,0.9770339686865853,0.9322906121032594,0.9858997748630459,0.8323812266972584,0.740128217170315,0.867006427617941,0.817634016750729,0.8199576828987568,0.7323845693951581,0.9748253243829664,0.7321969322081299,0.7317566835494578,0.8522338869620337,0.6804154446728082,0.7883472799278464,0.8321463504304385,0.9381172609865329,0.9859893765821494,1.157326140182218,1.0749848996796856,1.0409260298209484,0.95143045936779,1.1090044232714162,0.9425208889742813,0.8613734928776235,1.0568003281222933,1.0753141326037439,0.8273060081903404,0.9204418104090966,1.0347472405385278,0.9303901634556697,0.8645042149976282,0.9374998373737395,0.8626482671593508,0.8578614192198242,0.8293420806876938,0.8382937514602752,0.8327371652337909,0.7489934586361067,0.7806169902512369,0.7801590858688617,0.7842583242309282,0.7228411597032729,0.7338786330126695,0.8213600137049963,0.7990716939631782,0.7287153551635103,0.8157246140423047,0.877030999263345,0.915745293803302,0.8696335792960455,0.93600484638886,1.042342569224473,1.1328093953660685,0.9330005618740286,0.8202536928392065,0.8486285751188193,1.0977675714027944,0.861899142313139,0.8457772571239678,0.7324353150690709,0.66521459063355,0.6532570560550236,0.6156633803865786,0.537685897299738,0.5472129747504697,0.6188233533402137,0.7869475414235372,1.42936530273376,0.5797119707779792,0.704330423392676,0.8001261754346904,0.7415426226284041,0.5629654118609025,0.9424773401204743,1.678176616074906,3.64814881956289,5.4218549972325505,5.89200425984598],[0.7342749262963199,0.4554130019055671,0.48902438534905546,0.3988518678332854,0.4122823734023157,0.3991495377497956,0.302261998094492,0.4121901333277779,0.35707981549409357,0.4019858667283892,0.5006100926644274,0.5727119218943253,0.5040591056833879,0.4795903893717237,0.6920004513320942,0.5963354040678546,0.5356723726154982,0.5915333593579072,0.5778925351589833,0.6085238672826129,0.6131456728605402,0.602811437480037,0.6931939916185207,0.745527352920518,0.5522250147870588,0.5426147005189873,0.5471127807402706,0.48727518338867026,0.5712742516512185,0.5814534687793272,0.6565283977657892,0.6581105707846332,0.7662997224531722,0.7084346979023742,0.667876834962624,0.6241799147813997,0.6104201436730867,0.5978358901172361,0.554757224323839,0.5650020561345996,0.7157267639199569,0.6006740885571651,0.5771490080687309,0.7440667666573718,0.8102899508438,1.1033267654125347,0.9702093477329974,0.7482087918199514,0.7223874810574867,0.804448411380024,0.7566146260751258,0.8838051961285681,0.69130349292703,0.6698706556993075,1.3845766701767823,0.7290086429898135,0.6460715231556027,0.7439366131568077,0.9489876956747314,1.0700044756701181,0.6582656383928158,0.7247836029941814,0.725616243146761,0.8828174612277286,0.6594701677809536,0.6514355933117514,0.8787333433850661,0.7564245566212665,0.7656201736910372,0.7317264588379465,1.0095485955188404,1.5037622181385273,0.9718815515512124,0.9933174455123406,0.6934753436825567,1.1283005331310472,0.6758419671019609,0.7158911483764241,0.682556679069073,0.714690313897943,0.673413505744142,0.6625567083827355,1.1712913182668485,0.7387521065360065,0.6452107845964753,0.5814151100750762,0.5882293959377102,0.7133715816897087,0.6495805734206302,0.7268439233555393,0.6697612822521265,0.7432863059507948,0.7156797940902913,0.6962198709074213,0.6698908780414204,0.7096673108242122,0.76375197254396,0.6912395542362556,0.66888814510426,0.8913024302934052,0.6861470389117068,0.6984571711439072,0.6048592295069752,0.6196347222512852,0.6173328936730685,0.5446739139240134,0.8437946493897925,0.5082350599198907,0.511242906492581,0.7981593445384068,0.4568670172340991,0.38256081772472367,0.36416114933120347,0.4333311449097105,0.5494367164884003,0.47195799502855845,0.46081107769211654,0.4487030612936113,0.6155214914651012,0.6157720594728205,0.5491974650283334,0.46732938461498225,0.4215643246498906,0.42449026069821794,0.39858272456638594,0.42178008725418736,0.36653369822005694,0.43157842425427356,0.3974398948322298,0.43348069711668175,0.4169478805559304,0.4965718211393967,0.4328491846710959,0.6395241735988304,0.522776656005955,0.5171414650478026,0.7029579269269907,0.8209599751451008,0.9299066056043637,0.4487658928646208,0.6457232904218562,0.5395989702560151,0.504946196211653,0.4729582533139371,0.44654429862842854,0.5391927417549555,0.43767633885526547,0.5299636199198088,0.42679480669649844,0.4068962282554746,0.512476639399685,0.5870842155813458,1.1157799318131931,1.9179516598923463,1.119296552720863,0.7631703962358073,0.5845671402578985,0.5941044638764228,0.5451528865808707,0.5541290709483764,0.4495514798682353,0.5163365344562169,0.5054160025858289,0.486812678658588,0.7247606417701564,0.5351960746076255,0.6332681599093426,0.8204780009245203,0.8808118127652543,0.8949922426782022,0.6831981309995538,0.5484234014514907,0.5644282317896695,0.4782946686854547,0.48940900008964694,0.5583080871315166,0.5805033099238575,0.8609960377053071,0.5710406708058157,0.6374067049545558,0.6274858055705832,0.49161171531413767,0.4796080268707203,0.4694386314847147,0.4831205854408045,0.5623400191726183,0.5466276008378741,0.725832345971637,1.2208484389756658,0.8641258292395305,0.8376491135850807,0.6684103000793248,0.6663155944900823,0.6060231580775657,0.4960546001336071,0.5158929036850675,0.6980932344132661,0.44851029865094044,0.4390278235157113,0.4735434572005234,0.4771950457586988,0.500840934465826,0.4388793312415087,0.4591217397908144,0.5240272890305433,0.5076528551652281,0.5393865617978715,0.5462090818089933,0.5975051436887914,0.581994930266228,0.647944001151707,0.6642099405191386,0.6859921816345034,0.8526005083460015,0.8082575717239624,0.7756318929424775,0.8433775205045645,0.7590308658092906,0.658734558660421,0.7398348568375024,0.7693824393267193,2.209643078162892,0.963455846124193,1.482546330398924,0.7362650724146148,0.7738044304185272,0.7163616768528884,0.773267261966312,0.6481254942346861,0.5543509751167974,0.6658317977582633,0.5971477268096016,0.625350398523983,0.5167846625790135,0.8535380435336005,0.5600446395548998,0.5773972222768055,0.806578680295641,0.5122761090070219,0.6320352401678998,0.616215913490211,0.7210126077362984,0.7966499982476909,1.005985963475552,0.9091745511150984,0.8265881609436464,0.7570913716137857,0.9284540080881902,0.7587750593755749,0.6930661897394743,0.9152833768043365,0.9544649606324571,0.6852547519410985,0.7782319151214804,0.9223150852124399,0.8295048542551312,0.724854010409891,0.7929637386925008,0.7071405018237432,0.6906579012704961,0.6625148053966764,0.6741405421702507,0.6635067086922337,0.5918482703452121,0.6172295693339778,0.6061996559476761,0.624805328767254,0.5570035066950225,0.5702863038570617,0.6839162590487463,0.6645406627752454,0.5645485953427468,0.6464333853377376,0.8093672677016088,0.852856846052909,0.7814997287806246,0.8749107801191361,0.9754674100097004,1.0214265869270311,0.81990274258514,0.7013970303299056,0.7120049218118687,0.992175374340269,0.7746091285630667,0.7707291270936895,0.6828631783993387,0.5432526957844026,0.56927789680482,0.45727016043413765,0.4294663577054498,0.4066990633440147,0.4769277428324565,0.6860289997397051,1.510809246878397,0.45584507678346325,0.600334090263618,0.7807521833187665,0.6625903648074537,0.507159207728927,0.8069467221205651,1.63537227057064,3.7873743014868397,5.59052286674385,5.94959427635533],[0.7160181369009017,0.4660332225287972,0.480532828622726,0.376056911685965,0.4166542495010896,0.3809315221648498,0.2680357366041105,0.39918679267042145,0.31646303624801436,0.331647233842276,0.4005748077769041,0.5124141926140344,0.4409229008886963,0.4062485963154362,0.6542026207123535,0.5262567010644089,0.4767682356753607,0.5421192908177673,0.5184661952827649,0.5699160007400756,0.5616284401242496,0.55237640625199,0.617242053719268,0.6502476366120027,0.4909786927849735,0.4783617267722807,0.4750592687725907,0.42749278984478206,0.5316025610479059,0.5431284449597186,0.5704666033115617,0.5926428241625036,0.6934255478021696,0.643349091454971,0.6070535423402827,0.5659648599257007,0.5639401930601614,0.55876718127792,0.5230628688097687,0.5287436819467672,0.7120621464978377,0.5727249258015669,0.5293609793061304,0.7173307914071032,0.7869852523940158,1.1378103742262637,0.9580348349848674,0.7147730550740755,0.7352761549532042,0.7997126783225887,0.739934321945292,0.8077600419948421,0.6696073328431914,0.6259862511391909,1.420900095389281,0.7508393857582188,0.6207592575223809,0.7237718083746056,0.9444199507928621,0.9915310623429093,0.5962876388649834,0.6927820932539759,0.6747756068451599,0.81851080422723,0.6005044462711895,0.5955927359334141,0.8477722317878921,0.7099206730030746,0.6956384490138541,0.6705198537780874,0.9979396231566856,1.454638015902502,0.8825619424070801,0.8820544547200481,0.640724953658833,1.0568061309273138,0.6121985188074469,0.6593664011841185,0.6268165831998183,0.6693508793160791,0.6359439308705348,0.6323628896256236,1.1335344094464506,0.728525536183636,0.6156114829083825,0.5592804217421626,0.5603820870528723,0.6697932962987786,0.5914054545569569,0.6730330976628582,0.6056430777772378,0.6874225559962004,0.6460793855382362,0.6150919604249371,0.585614189328795,0.6405320418635494,0.6681773042161839,0.6058385028433629,0.6024741691836328,0.8281157541839189,0.6172479365372914,0.6618691313518784,0.563424126935158,0.5970344229816321,0.6081316115473195,0.5446384251689039,0.8340682199998148,0.5213568074008298,0.5308815371646423,0.80131235622666,0.46363824442361135,0.3732987017717906,0.3438730607455051,0.3979044619696282,0.5088607213476461,0.4304870002294349,0.42056343433385873,0.3978816627260797,0.52008403787369,0.5475547494709488,0.46116554185273206,0.394628095605337,0.36870049136584837,0.3427686291471146,0.33261824168689424,0.3748382906305545,0.3596604649085116,0.42994316707592256,0.39862174399865297,0.4352137523477691,0.4297810939612624,0.5053868761366491,0.4368957898015471,0.633072640592723,0.5045867666428839,0.48908144620115784,0.6955943201203488,0.8256186220108287,0.9434272467081932,0.3906617776799659,0.5722495770289733,0.45834722230168995,0.41564590256352046,0.4215970910014947,0.41633547166637613,0.5020499070727419,0.3902922728739178,0.481280101440813,0.392749508753724,0.3742252277267782,0.5051336610455394,0.5680769422622236,1.0934887644803226,1.894047958318033,1.0933666905139883,0.7215635519030433,0.5459474574878314,0.5696088229009203,0.4975603429431018,0.5193738689613489,0.4163739800582625,0.48084442962321355,0.44578286594272876,0.44268690402417554,0.7038832504723626,0.4826358464891858,0.6059091612101717,0.7668677388136685,0.8497482545934903,0.8739834588693558,0.6574175491157802,0.5045816944105623,0.5306665702884074,0.4508360945201726,0.4570987207051398,0.5342408749894779,0.5400966928495523,0.8319010790225095,0.5358060655286493,0.612358005163989,0.6074285289237489,0.47611748772757573,0.46319776615401703,0.45972648169345487,0.4712793141097479,0.5462960521705651,0.5254127709593039,0.7268982547096037,1.1881648133579683,0.8332185724467327,0.7865319865090823,0.627446425684319,0.631624479760381,0.5797629700037158,0.4978932509179434,0.5275279396796467,0.7219094913962111,0.47523339826126715,0.46699148632004067,0.4858896296988256,0.5126738734092067,0.5370174803387694,0.4713148245832688,0.49365176472780614,0.5727200609889483,0.5566400985594158,0.5727246539870238,0.5852391820642787,0.6465129958955513,0.6288798618184651,0.6734276357696914,0.6943158254984974,0.7269427363377329,0.9021017383703593,0.7963876247417935,0.7706321119538733,0.8563022522361393,0.7427579924003207,0.6619445726104217,0.749159701576936,0.770872202106942,2.2510402060279433,0.9760567770086397,1.49473516011149,0.7820557883803773,0.8125782063371924,0.7428507905351379,0.8108703856036313,0.698872091014999,0.6035868520165699,0.685054664075834,0.6307974072350271,0.6450252696400655,0.5343895618066895,0.8451342523580347,0.5530478724009528,0.5834201800274375,0.8032277037850319,0.5403977235266431,0.6542108225938762,0.6479246166053378,0.7476065465978271,0.8264909254303503,1.0355497849611097,0.9366003701602412,0.8546941497814406,0.7953196119463416,0.9607057630880212,0.7940604863861057,0.7278505734389223,0.9438893303391228,0.9756537467072733,0.7304270249690721,0.8170793295786287,0.9461306677376486,0.8694836737754918,0.7685609034864154,0.8160792629838722,0.739083997558312,0.7269297777295435,0.6999689109562249,0.7153521326212476,0.6900109623336252,0.6299823082743464,0.6510966205042364,0.6308822166106111,0.643127453449854,0.5931137394314583,0.6051384522150577,0.6944905470010311,0.6824324904562883,0.5858315179712903,0.6733329444355792,0.7936532052730487,0.8480920345999171,0.7639240655475656,0.8544797726624609,1.0024785317387186,0.9572322465787361,0.7890049721923923,0.712239582311292,0.724927438214423,0.9839055413764332,0.7485454071409323,0.7311476868547694,0.6781987656675967,0.5513365203914036,0.5759305158266972,0.48795853193910643,0.43053954304909453,0.4353125382313607,0.5105375380471865,0.7329280224337971,1.5310708705724638,0.492366085572894,0.6539748233702103,0.8812037805964822,0.6714441298129026,0.5353515014942503,0.8455481399491669,1.9313221349614684,4.175990213197623,6.078155239879302,6.565197475699698],[0.6622471794625487,0.4449577707222385,0.48293779166583073,0.4088455625687596,0.4366490320334614,0.39949441827774207,0.2749474129837442,0.38530611106663387,0.2779012772657408,0.27826874907254695,0.35363491157200316,0.4470566918635117,0.38336078041918314,0.3300422002248675,0.5451089845961652,0.45120821131772,0.4071258425410648,0.45809967129730433,0.4436640936390502,0.49209089801294886,0.47543008913734863,0.4794479204776381,0.5427628171814797,0.5791343151145513,0.44205250231004606,0.4176186521209697,0.3992854363735504,0.3652098236932377,0.4566586462608639,0.47387342322142006,0.4874107327164543,0.5105078874452742,0.6043756885005656,0.5543407373457402,0.4976793000857133,0.4762612933324486,0.48160333846108777,0.49009773389728806,0.4523705051942881,0.45766642760090365,0.6890924849884763,0.5047802160460828,0.4629968683887043,0.6355546632290664,0.7461038264141907,1.1095668927677602,0.9446936902657388,0.6362471419648442,0.6652049819779176,0.7591880167769874,0.6865434831482896,0.7995037033691103,0.6155075865460957,0.5854616253619895,1.3835002263228764,0.6882396583276715,0.5616961784282352,0.6697165648115175,0.860372953030921,0.9698396564989866,0.5382973479095423,0.6263864969320816,0.599540247822784,0.7242608293437894,0.5261740029870928,0.5262061188820497,0.7427365198848177,0.6072240166480234,0.6242427829963233,0.5977280033040681,0.9173259241074441,1.3640810191778694,0.8289360166454097,0.8137284551692245,0.5859346378945542,1.0279275956026466,0.5252583638134607,0.5699329064146161,0.5328000652035373,0.5724759401893039,0.5542954614441227,0.5677343418390539,1.0971720609975526,0.6182460820912322,0.5810669922904234,0.48664937898578847,0.47937842139981823,0.5875158577604856,0.49286131242037856,0.6048616805683172,0.5148683405007911,0.6452027151045261,0.5515800094358105,0.5215062114022853,0.49940682460347297,0.5473921212540351,0.5961061513901073,0.5188099447202801,0.5196865557259092,0.7726190275055892,0.5545211991727513,0.6043180165908716,0.48843177792441644,0.5295595544794284,0.5561792923385747,0.4931450011321528,0.7714657343287858,0.47348905113202033,0.49537558230348466,0.7905773288990036,0.4364153813146983,0.3559200660125958,0.318124799954393,0.3838611512944444,0.4706902704842061,0.39857929187716856,0.38466874188110634,0.35457985387999963,0.454224659812846,0.491344195921178,0.39009350538168436,0.3304468832641522,0.32128233023366065,0.31641319253861144,0.3362643348988869,0.38344249819611526,0.3561177004692843,0.42271399542051014,0.38264189336847415,0.40684896634894313,0.41095936620465806,0.477607694186597,0.39701526615545274,0.5872480562182132,0.49164569247822765,0.48339726080133993,0.6961897382462834,0.8126479803384296,0.9499444257485724,0.38085140447080224,0.5720690377838493,0.43924078247592746,0.3805709742331968,0.37494122435595395,0.3648151894715576,0.4470794785674664,0.3337998841223992,0.43281652535050585,0.3618594719278543,0.3635663024140548,0.4716516263751962,0.5616401196348552,0.9379934967962928,1.7412984205121071,1.1382099518915534,0.6238344863163651,0.4890649518044612,0.5098429109469398,0.45140267564975206,0.48326785905475206,0.38892379015479184,0.42165318454498385,0.42417565859170403,0.39669231491969914,0.682814365486742,0.46753740068979843,0.5950625508209121,0.7903102659808344,0.8516163639882766,0.8778815307920154,0.6451195949036513,0.4983061174553705,0.5156451884085347,0.4137976581360045,0.40476597565462613,0.47993124273324483,0.4955271259296194,0.7920414332761768,0.4772854812072063,0.5664356438841234,0.5671246018522557,0.4215486969449668,0.41906051839789016,0.4126927203105474,0.42895349011437095,0.48521697220628607,0.48246478029448153,0.70653620080375,1.1765474347766696,0.8234103224433119,0.7937849775135882,0.6335869861405705,0.6558041447421519,0.5900493696927482,0.4683737941163903,0.48317177068337513,0.6946160194888302,0.45088177609810304,0.44357839994891524,0.4821367603578623,0.4613982093155971,0.4986399746024434,0.4388820689156138,0.45201953008691176,0.5158497404495779,0.5166667581786691,0.53532975663186,0.5425691194600515,0.5822003949427443,0.5754858711129462,0.6190151371596239,0.6245461112618506,0.6650906813314788,0.8351547568028194,0.7151370776251672,0.7282347028898086,0.7642435479982851,0.6946185812481833,0.6144540500135419,0.6672892148896886,0.6728786864579117,2.0816848081695505,0.8879107167824069,1.462056815845228,0.7348060938115378,0.7559468107851707,0.6751719607132945,0.7636880960009294,0.6296308802349821,0.5498544545830999,0.6362101073091899,0.5779033926428814,0.5819527939132619,0.5013602800261318,0.8372340142114408,0.5545333759919218,0.571766496761446,0.8039001839923413,0.5086727909920796,0.6111642334495204,0.6066610123430061,0.7001267152028011,0.7919859634276568,0.936996446315713,0.9209939761533403,0.7944850003364936,0.719313978657108,0.8840529364136643,0.7391654101785533,0.6554458821511435,0.8636916995221877,0.922277322285239,0.6720385492291715,0.7368676820115664,0.8743227552093933,0.8327909551585835,0.6991625873958462,0.7392096442766524,0.6583050616983545,0.6444539780384538,0.6238276825008576,0.6344573898892354,0.6058298084712624,0.5679991820155459,0.5792136024544311,0.5631930730235319,0.583123411080944,0.5393124721854486,0.5547398176554992,0.63799143451487,0.6234896464279216,0.5449353652133416,0.6201762648878093,0.7799460737408018,0.8349932027941392,0.7583174755386118,0.8818478954731868,1.0538380685320334,0.8918123478899527,0.7591900620197363,0.6952361193366874,0.682646311895372,0.9662739554739959,0.7200758910889102,0.7109144809408605,0.6693952994459795,0.5311993393965387,0.5589435209839191,0.4574624979056446,0.44574356051186703,0.42920325103351986,0.5096342721027194,0.7214094160831328,1.5948609260983206,0.49677062373786735,0.6244248046610322,0.8494964984084855,0.6953080320102912,0.5739667450849341,0.7942291317049583,1.807452616396137,4.040002021173282,5.781831894921026,6.063597185107064],[0.613891137138617,0.460570443590948,0.5168741825704265,0.4412499312705325,0.4660913280958413,0.38150326043173527,0.23137961022678494,0.3819068407536225,0.24295715369315632,0.2472225917765394,0.3379619935172095,0.46963923391472,0.3823510723572692,0.30382931790778445,0.48635323895393107,0.4186071421518843,0.37945149010405793,0.42131370896990206,0.3941103815076452,0.44849597985039663,0.4320258476159393,0.4463385285801499,0.5037301086822947,0.5058000676899126,0.4124553121832413,0.3718619726801275,0.34610982466875967,0.339728045743478,0.4244329873959013,0.44933536330066715,0.43052169896973,0.46505362367025554,0.5488542002118391,0.5095795379213786,0.4669748233205873,0.45087627321253543,0.4685034633183708,0.4348351786280393,0.41033492868870586,0.42429100155571686,0.7240005600464636,0.4912119421347654,0.4277455649381245,0.6244014804458613,0.7529060140090936,1.1696804371901914,1.0008333658328552,0.5915332779514566,0.640504817806425,0.7512666371120623,0.6068244351838543,0.7398142754278025,0.5849400757470903,0.5103229655426127,1.3562967335776224,0.669242645352603,0.5555110296160427,0.6388104907855919,0.846974764338972,1.0043715610294857,0.4881705469101433,0.5999988138440594,0.5653804543148968,0.63289257700946,0.48441104950360536,0.4948131217057925,0.6814376555755354,0.5536761652945165,0.5749983246593894,0.5734524199909076,0.8904307281262903,1.263904578830398,0.7777985493354778,0.7541248943626867,0.565043728010363,0.9362661449225212,0.4745874159825261,0.4916479099386472,0.47421025286685065,0.5576125585207266,0.5142589421232606,0.5334744770575831,1.0381272897178138,0.5945643578470862,0.5236706044887345,0.4776957464956776,0.43871177804858874,0.5520693162445062,0.4599612442061851,0.5794208968115455,0.474052741844025,0.5679749499974457,0.5001474217565485,0.4763103599826989,0.4593135572466967,0.5133704005942046,0.5336426992353684,0.4727336763637546,0.4812516123466132,0.7225971761449128,0.5292210366180637,0.6229274354977319,0.48144402430880395,0.5045242732051632,0.5712107966212562,0.49644408952598995,0.7956157016350902,0.4766984512833772,0.49384644363577324,0.7791206376406306,0.4381828329061097,0.34338897596865336,0.2918573715132511,0.3483120705996694,0.38614519902566385,0.34742431142967545,0.40804711717957626,0.3376600387462988,0.3968904975511692,0.44421159354391343,0.346602742339547,0.3181625831530724,0.2830818203588204,0.27820482817145964,0.2960031130158427,0.32038857152480354,0.34235124834774594,0.40139421870236697,0.3810131531778613,0.3922697974857989,0.412476159983493,0.47996321832235395,0.3907089569331669,0.5766450910254768,0.4837717092117516,0.4835028843849197,0.7336305156686985,0.8804438772610024,0.9588527272718426,0.37305029596546374,0.5437003607260131,0.40891467099306306,0.3500177645131406,0.34244570704740235,0.36854644280188054,0.4176554889129448,0.3116024351957488,0.42354948745557225,0.32716191414317614,0.3415528613072224,0.4766393159070174,0.5248064143383244,0.9347262411694153,1.479624472592189,0.9623458628822824,0.5953729862023404,0.47655677703785015,0.5017966418414099,0.41219635461851645,0.47521290159712076,0.3565427173116475,0.40660207595432085,0.39840771126110514,0.36155700519913603,0.6837258007801861,0.48531721053613297,0.6201864646895694,0.7854876725368878,0.8855363442505086,0.8973705277034207,0.6865501272013621,0.5173829444862507,0.5148541336677415,0.39646804854782264,0.3689307872199173,0.45073530959342206,0.4623370837978946,0.7179974233271551,0.44047987796838134,0.5052485566344763,0.5704160237270927,0.39395402809641517,0.4020640958141469,0.40698805175078406,0.4082010493001749,0.47657931479132215,0.47241675366959573,0.6789087393989478,1.1566472218842683,0.8257083823172323,0.767411732730022,0.5764104503014325,0.625814851413079,0.5802604883640361,0.459552289626407,0.49338306064664383,0.7127702431347233,0.4718795595143931,0.46940071601503136,0.4838016989428305,0.48023881152890746,0.5085556242230957,0.4548224453076314,0.48020859118807735,0.5249755725461006,0.5250242562599092,0.5795076401036753,0.5694368010969885,0.5743031012097514,0.6032523281011777,0.6549124657240961,0.6281142897023774,0.6648682689825851,0.8904180047679754,0.727149228662729,0.763923801565438,0.7856828838506182,0.7290513304481462,0.6337523132217306,0.6646286771245673,0.6702944059945748,2.080192924064504,0.8901322233329341,1.4555350047369404,0.7321152453122135,0.7572053198658512,0.6821068431372036,0.7410868320758844,0.637987965579392,0.5570500770802993,0.6494237911703896,0.5940802721817249,0.6130175654340206,0.5273305090673441,0.8330172706399238,0.5903520898787941,0.5998536788420458,0.8063818236852535,0.5304956128601908,0.6329406361604373,0.6177504388634414,0.7050188537424648,0.7842951222541694,0.9000946582411093,0.9006435115971714,0.7834568145398725,0.7169806136203905,0.8612706024554023,0.7428900780613837,0.6493993941776413,0.8528590205035242,0.92649740929752,0.659086440246162,0.7142364331764169,0.8321806097775741,0.7974598935150641,0.674073403804444,0.6984647216735489,0.6304851423427563,0.6247627441225228,0.6106510743782072,0.6269655280177675,0.5913424227757954,0.5652517032520942,0.5775695544970225,0.5657592588039994,0.5896725422236732,0.5546621352417437,0.5650701779657771,0.646962888975086,0.65874154185666,0.5845992819399323,0.644977611196687,0.7899820233025172,0.8612554669620207,0.796513788973538,0.9002474579667917,1.0626175327064857,0.9152685094589834,0.8048018106440553,0.7427559543939248,0.7492189257602889,1.0320756446809116,0.7778184762395931,0.7540231990228786,0.7013645719959469,0.5645494666172624,0.5850183556318751,0.49381372913032556,0.4513226960953458,0.4600232328133726,0.5134991708569897,0.7113949471267914,1.6353868649269743,0.4993578053867376,0.628618893630269,0.8039042975291826,0.703245250441738,0.5831114553520212,0.7616452683284736,1.7471599199396164,3.8495861741240995,5.26126224883048,5.286244667179006],[0.5863578313346645,0.42571778096799495,0.4209777664626337,0.36004605496427716,0.3288144889907561,0.2834610218707135,0.15416815065991196,0.26525931955702653,0.22846403700842255,0.25686452658962877,0.310076903272689,0.41450068810848306,0.32206128088739533,0.2820411458180969,0.3784333694972802,0.36384532223818733,0.3335372341408055,0.34684034852550694,0.3485515336031596,0.3684926330378657,0.3585916574887024,0.4036012667182618,0.43599028447574895,0.47852993735614596,0.41554395102991054,0.3547606854111836,0.31469934877008626,0.29878907074511774,0.34367925695864854,0.3505819807345746,0.356343552298779,0.40867838991081096,0.492902598819191,0.4337512992976441,0.37522302652921424,0.36323388347416485,0.365728278302364,0.36885629779444096,0.3319727578980637,0.3382024600309021,0.7111897665155256,0.4583366248065659,0.38394102811915426,0.5504894990846848,0.7655779460022286,1.1990919840430123,1.068656427059516,0.5660998462700625,0.5780161213764726,0.7396850392943494,0.5535319088880487,0.7205683522152949,0.5074274476323114,0.45268915460775544,1.3170379167661337,0.562984919758356,0.4910122546259461,0.5854926129280114,0.7546831356760799,1.0126111999161909,0.4669166912754557,0.5489511672963114,0.5128300712406941,0.5607341192999548,0.43657355955214805,0.43757191848886046,0.5990501613514786,0.47232378996222607,0.5175867041278891,0.5048899048090814,0.8116071072849048,1.1572367036235505,0.7028667766613556,0.710015320969603,0.5344128564334142,0.9261234375072214,0.4154219613287581,0.40584292652588133,0.3925606353196773,0.45274538675241205,0.4003466103910583,0.43796311048276215,1.0001832901824093,0.4639780132065878,0.45624234761325266,0.3838179740829003,0.3618150211485696,0.467159587469951,0.3626095950688627,0.4845941495532196,0.39978041134622017,0.5832426897720702,0.46662534459983745,0.3974538435212277,0.37943475641959695,0.4412626305280241,0.4927015858648871,0.40521530078416024,0.40136014068334885,0.6193503698161671,0.4128714450515239,0.49368235841624236,0.36012125702483827,0.37996276005927576,0.4942666256008496,0.4138742088204348,0.6935498163568223,0.34495802010656634,0.35843009629498057,0.7056323012699167,0.3000721062485992,0.2463638657188501,0.20653579756163543,0.29758465876524576,0.3227855435527862,0.29824152338599996,0.3943865491064743,0.3301980558921932,0.3803500237178436,0.4149016996232197,0.3219369289064754,0.30836009880030035,0.26665038643035244,0.24845459598869,0.25111902490052124,0.28162041219700834,0.2572205506124523,0.308364483642581,0.2709231185029144,0.32706714272986753,0.3227768437261866,0.41236462539877233,0.3173817046121861,0.48955427740339585,0.3977126767780869,0.40212479189520045,0.6399762789581149,0.7863383005604176,0.8740800797228192,0.3339575987299406,0.5664438548869177,0.4515146445033486,0.3597867724499687,0.31717443296316783,0.35080395928664176,0.3696742067008873,0.29373162373410644,0.36745877820409834,0.2440475732191862,0.2770746531331143,0.36169648719492375,0.42427875720002106,0.7651252355304817,1.3611229724037468,0.9295179041261641,0.44222404019785655,0.3504815723539731,0.36379247765011763,0.3194399484612992,0.3487318323983945,0.2748343832637995,0.3093017315538915,0.34582327955366404,0.2790198688611665,0.5878815284687064,0.4546195077595761,0.5852797699636633,0.8136699119541824,0.8907364545592501,0.8965621912085142,0.642651402946319,0.4609702319946766,0.45079674699604766,0.3305421244470812,0.275550813829837,0.3372191238578732,0.35842045380510373,0.6179809930427114,0.33676252941629053,0.392037233618462,0.5897714239222231,0.3067978715927138,0.3135047590328015,0.33220802311612324,0.3515137039125134,0.43687220841480506,0.46122632253503737,0.6763156399300236,1.2187864046292254,0.8405986448571852,0.8052827995579726,0.5826389956740972,0.6099072126731965,0.5460062923653717,0.40516109341695566,0.4137852107411326,0.6206123410884206,0.34023886714225643,0.34358253637474706,0.43438947071976364,0.3359404893287549,0.38147066424772497,0.32020582404944936,0.32039047657693326,0.3781590340963327,0.3969600270747203,0.4340490829990583,0.41072855774822453,0.46537781222547675,0.4487366278911202,0.49112798679180847,0.49549577092258834,0.5480217845419436,0.7289997806417803,0.6102166832755346,0.6569959197014542,0.6366500918501359,0.5974488713041588,0.4955857570872309,0.5221837817828254,0.5148731070014301,1.878777961731258,0.7492060084175809,1.3806463612221331,0.6223325548976236,0.6239608162462482,0.5638839281014284,0.6252241839423428,0.49844615970040307,0.40613447932327335,0.5366414281859317,0.4805438405264773,0.48744824602425013,0.39100932482063727,0.7691898326324287,0.47003599564591453,0.49667387834620774,0.7539091849778147,0.4019767747216242,0.5220205035139225,0.505777287761673,0.5891948190532186,0.7010279786481443,0.8364405538711034,0.8452653660316106,0.6907956545642308,0.6271058254604819,0.7923498120132287,0.6761565921401237,0.5598959293513075,0.7635865460800357,0.8704938799826536,0.5748575907864426,0.6070564407951949,0.7419638046458747,0.7261476468557394,0.5639057098580614,0.5797075176332134,0.5191476423617583,0.5229695508143903,0.4986109089080468,0.5040143726885224,0.47226171418822604,0.4341733543792916,0.44603522962341524,0.4150343600642035,0.4540018345519034,0.39949599769025695,0.4273571881524395,0.5460770908780913,0.5301001719891023,0.46129576056633126,0.5354022772650788,0.74778581818852,0.7837185405602215,0.6701450504796007,0.8403878993689602,0.9949207214421617,0.8029583241526659,0.6895156763026073,0.6066580916052684,0.5797042965937816,0.921379138033486,0.6261679246836069,0.6260601416058784,0.5878105786777225,0.4397243577579637,0.4775442399301435,0.35332791370593425,0.3697332535246177,0.3118671476992814,0.3940298202824304,0.5778021624697188,1.5036846988668964,0.39061467769379665,0.46987831015055787,0.6156351695391684,0.693474323676714,0.48066197865766974,0.63922760578113,1.3033740277510397,3.2118153307954738,4.346515782636459,4.159389325200078],[0.514460489809948,0.38658594158278714,0.45853952195128633,0.2916327042918047,0.3055658495334906,0.2594963558143835,0.13367082824065687,0.22596832183086246,0.2727738460887984,0.2382574481788256,0.24911709088456543,0.3637812894062176,0.26658490316036454,0.28309775080311783,0.3325738894759121,0.3239184198400302,0.31969373260623224,0.31209020435427026,0.34919601526788757,0.3524614579284733,0.3410482161006436,0.4103558453178791,0.4539998304637315,0.49507631998515605,0.44963632665432834,0.37008107077323615,0.3264111624933634,0.2938602140819893,0.3337065471856182,0.33119818061652806,0.3326765651636651,0.3675748198893447,0.42736068514369097,0.36881267229431514,0.33093102364287746,0.33398748118845906,0.3483734561961258,0.3513658456557148,0.30542597168056757,0.32697788638275244,0.7346945323173812,0.475141303462965,0.38362812447873346,0.5229826758302952,0.7875422399494595,1.2042796401310933,1.1110890062939571,0.5659911449414947,0.5590061727795292,0.757894469472131,0.5496871437978867,0.7588505732684326,0.4833427438663561,0.46043697161957725,1.2789829488281,0.49259921388443595,0.48905559549605915,0.5450182487535097,0.6705362597865479,1.09157693469432,0.4777982323272337,0.5430301385401121,0.4734297144269461,0.5409191426401618,0.4559420253714604,0.4258414443594524,0.5587012067601235,0.4431573278484291,0.5054126220354402,0.49935545127453096,0.7823801397345491,1.075155264887227,0.6844538484543206,0.7216774097812748,0.4900607807106221,0.9159371853382867,0.3924169854316667,0.38773212643103633,0.35899214536296475,0.44643724805436485,0.3636418418473837,0.42531817318603415,0.9648454320684137,0.4084303563563313,0.4853577230626193,0.3704855933978013,0.35710810792414655,0.4442516374243369,0.3455308230999668,0.4499033856732615,0.3721403630666238,0.5974116735475514,0.45084677775692317,0.3550762133261347,0.3553278226073974,0.4007981012829322,0.4646972254846761,0.3518237606908171,0.33066929044119914,0.5228661670839927,0.35183491725590177,0.4876773907650431,0.31738960276520994,0.3687056325472685,0.5158723884181542,0.4235099330285547,0.6252653084590583,0.3417756629540678,0.33999651483252785,0.6893680889905114,0.3035272046286215,0.2687139461500794,0.21428381057163975,0.30671462133296423,0.29602824146854045,0.2955597539835892,0.38417522128096565,0.3352617890374617,0.37833476134906824,0.40003550538423,0.3274216677769955,0.3317356318721597,0.2674765323549787,0.24716919130211465,0.244133481558363,0.29332069682610007,0.25141696168382865,0.2971662906359941,0.28307749097508905,0.36810498836993616,0.3405660485814592,0.42663653642096905,0.3324781033965255,0.46542496506930076,0.36822894310572146,0.3665311591944713,0.559621988734049,0.6984835137063816,0.8123151724792156,0.32763485868770603,0.5918977852120391,0.48323109610948056,0.362625963508731,0.30412962509557817,0.3415066625751381,0.3539521548442676,0.2804438183676158,0.34374065115413127,0.22945919914798293,0.29270734968214324,0.38618727123552754,0.4338206295680946,0.684086822709261,1.2828577738255194,0.9196125620106637,0.39693886944720513,0.3209798436602552,0.3531403818093564,0.2980661471091522,0.30643703644107845,0.27442765397948116,0.30054684727170866,0.33327492081919186,0.27570767276900127,0.5403202435876446,0.46016837992539517,0.5712746023448713,0.8493082641962688,0.8883892854393444,0.8857831016182932,0.6071668525114026,0.4389027809835759,0.4307433806206185,0.3218343261820776,0.2857263376376593,0.3406898068610122,0.3541300263440483,0.5585987021740986,0.33719128772712575,0.3612768966718876,0.6194647942737408,0.3013152956398493,0.31413336260992053,0.33787523895658195,0.35733154581729404,0.4536661889260339,0.49128687173782065,0.7109835882385166,1.267059185375481,0.8783197786194537,0.8643923012016096,0.6438436896365507,0.6458958574360024,0.5718670213002509,0.4334599068007955,0.4257481950812438,0.5869648227995942,0.347706558307002,0.3409953656855184,0.5299511324814593,0.3555384754269973,0.4137523122549482,0.3693281774632778,0.3239919169079816,0.36875980819846355,0.39793068270420845,0.399841917830904,0.3835773575924318,0.4421721988272823,0.4261224487081348,0.44958225076597386,0.46649494452118656,0.5327515646618959,0.6743610860507315,0.5984215589194091,0.6581528022079548,0.6057183132320664,0.5707234354153453,0.4648202999319642,0.4871352735843238,0.4655272895487101,1.6982241727115097,0.7175657470135439,1.335673053780112,0.6086263989582117,0.5760923994622366,0.5543433008851444,0.6193528382239257,0.48639362622531146,0.3983221926260856,0.5512033415690503,0.5045684580075721,0.48209033853669375,0.4113766366809273,0.8022033474544847,0.49945761169074515,0.5240225606743337,0.7875696686232367,0.4040505491415645,0.5575278212934662,0.5138127759249654,0.5967715791326283,0.7267026311455101,0.8372661316084897,0.8946550234110116,0.7133455800686073,0.6324539163171019,0.7942363254956657,0.7048200601210043,0.549504689473516,0.7257667105805865,0.8465585341263209,0.5597096114207049,0.5677946440818785,0.6885727910905531,0.6952526102631629,0.5435460347998041,0.5443352337519923,0.49199035848540645,0.4876186781063296,0.4825843415595441,0.4860902098336572,0.4397724878984671,0.417880223248541,0.43499262486149454,0.4008862527057618,0.44021708755360967,0.39791028724483074,0.4304627944125566,0.5590386214202386,0.5131424995307611,0.4731102339152058,0.564319039416417,0.7850757969805112,0.7908019704146306,0.6504467835976318,0.931243315824978,1.0782641690393981,0.7579922309186949,0.6907926539518295,0.6012559536853921,0.5471441064029923,0.9371043623493555,0.5933326045315571,0.6070216954144205,0.5771905939295436,0.4545150090945441,0.4693234942998175,0.3297074146007643,0.39292034217184113,0.31188824752375766,0.45721934477725135,0.5778539527143548,1.4087451746388726,0.4649792992084071,0.44679436447264004,0.5641724895008484,0.7780592182683219,0.4455006773281656,0.6621874903528031,1.0751837980808598,2.7898530842209066,3.7474920718886313,3.483467605862766],[0.45895842029606865,0.33943130042296543,0.3727354212858562,0.2361441952528682,0.2947982082502618,0.2376920602406584,0.22020331087450215,0.2714273945299995,0.2760305086959492,0.2369838131365273,0.2596122549009887,0.3661784744825166,0.27092219260057826,0.27220444175460184,0.33001684114524693,0.3163409184097481,0.3131881941234133,0.312340924738785,0.33368182160768706,0.3697687902053119,0.3642824917816948,0.4494975341840188,0.5009343815723782,0.5524465736937487,0.522932653123094,0.42466220571101243,0.3895165922644603,0.3231646669639018,0.3387342686703263,0.3442054937011319,0.33248773378311597,0.3700433915273056,0.4267646058977358,0.37640530625053537,0.34391828889368314,0.34488874191439617,0.3561598911788501,0.35813126134871576,0.3338717382468334,0.3961029747184141,0.7965053938897219,0.5447753666296077,0.44241572337961527,0.556754831617141,0.8813619351725963,1.2809560642520026,1.2298298671499583,0.6192203641455438,0.596970315543896,0.8034580524481718,0.5917678061874289,0.7533825751849959,0.52672135266319,0.5068259893518289,1.2940604997093743,0.5275879975779197,0.5256503962102949,0.5722338729359439,0.673441131554249,1.1205752982316188,0.4858172107846383,0.5241545241853339,0.4504471787784936,0.5375241355940743,0.46793136294005433,0.4435513748068811,0.5308480617297455,0.425574481181719,0.5175890993528987,0.48334292824563607,0.7916267400899575,1.0677120308845274,0.6380956965683501,0.712874393011012,0.4949976386740884,0.9457886632628303,0.3798627941604566,0.36821079238106225,0.3475200228563115,0.47133715747468585,0.40758886510608633,0.4488139700537694,0.9272997952455242,0.4191004580421088,0.5422248400421993,0.40510312916852126,0.3765694302343172,0.46575409999115175,0.34853823493176017,0.44703031892362116,0.35598634033182713,0.5874374057643288,0.4490879768806367,0.3441052791111999,0.3431235101290671,0.390941616004278,0.45762825589733985,0.3551768375619271,0.34254773727087906,0.540709894526803,0.37144700389209406,0.5076579209240293,0.3231092501164402,0.37423574417591,0.5802029675598862,0.4414019761961188,0.6812991990126698,0.4009352847316783,0.39722064587682865,0.6797653856217408,0.366733946011175,0.3080861329332342,0.2513080765937136,0.3147281613325463,0.29560006097763336,0.33211579130303087,0.40210903544161813,0.35504035884221335,0.37364013346635216,0.37041981342183855,0.301711221742972,0.3068373019819492,0.2938170027868891,0.25775344769248043,0.27014292952123725,0.3440495863883937,0.3053159493197297,0.3597402493042801,0.35544003371108845,0.40096993196282055,0.3888436111724064,0.47531561497259633,0.3836578918770713,0.4847784148210777,0.41412341198909985,0.43033191284441713,0.6111574528887169,0.7389160887975339,0.68854516501204,0.3881390307070443,0.6329610391642706,0.5833246825089687,0.3760689807578418,0.3436309970086131,0.4030500324984601,0.38839677961797436,0.31456413045051684,0.3548617847231988,0.261855344647025,0.3102569872911359,0.3954903930311405,0.3943203587669102,0.7180687657755718,1.3101219649106723,0.9046117608228974,0.403964391446538,0.32669703010490436,0.3625235785380613,0.31370179357482375,0.3507237348151731,0.3212349104846421,0.3375949757967094,0.3625894164965546,0.3268710465176964,0.5862432728853483,0.5373592700940262,0.7172840142875625,1.058322985673828,1.0836093797932826,1.0501221870813156,0.7442645743353333,0.5230759751710005,0.5083652254454369,0.3587267395560631,0.3289782569783111,0.35795808838455373,0.35553031858178047,0.5495331934941854,0.3540776308423641,0.3794311491041379,0.6517813292760705,0.33740629603647887,0.36805721498339256,0.41194148441547135,0.4225043915134226,0.5334791785123701,0.5814236832353624,0.7569230313853572,1.3290766103910494,1.0091510616966175,1.0089327838570292,0.6691354573604683,0.7046077989851293,0.6438971021742433,0.5039184633321514,0.5212837017358274,0.6366737897827339,0.39982775135968995,0.3791774293950508,0.5815908473126276,0.38328718180343335,0.4526608666579633,0.4249019279050501,0.3437346326907011,0.38309554920031946,0.4237990451738514,0.3745175462408661,0.3817304310189323,0.467240149240626,0.43297648215095247,0.4404061290713605,0.483604846430013,0.5675903634801617,0.6339972204519236,0.635344309880923,0.6986418875335193,0.6010497171467762,0.6064497276414299,0.4777926128145913,0.509047899964562,0.4899394522510124,1.5589866361669789,0.7577952622364786,1.3829345900798689,0.6286004749924933,0.5681093677669556,0.564351697163713,0.5683929781731926,0.5325698820587706,0.4226837799839939,0.5634925323437666,0.5306684886801446,0.5560451774641024,0.47656055200778547,0.7680904336459125,0.6300544823276345,0.5907378998611484,0.8204648968094751,0.4360725013841048,0.5813648618533774,0.4831781746263313,0.5808554155027449,0.6949867043236541,0.8135980007393423,0.8469561159441258,0.6920551386419705,0.6223414027212786,0.7447334979361964,0.6996703248031045,0.5880857966231949,0.7306671009314891,0.8797514595513608,0.5951967722350381,0.579853598046342,0.7070682308189917,0.7531150065375071,0.5565975695223329,0.5621062287451554,0.5123323310678798,0.5111343925465675,0.506640040119267,0.4924471674503139,0.4751564635381638,0.4371311033993126,0.4398742507214273,0.4235235184028893,0.4524244759807158,0.4179226232616784,0.4369532579863049,0.5972020356015958,0.506410445902994,0.49021094748528676,0.5651462621260758,0.8103430519068157,0.7886333666707395,0.6644098266353442,0.9055080154636762,1.0266494426744,0.855982736823278,0.7167333902085897,0.6119662210380663,0.5125201877067858,0.8981822378733811,0.5960052460547822,0.6439140219210492,0.5607476649542226,0.4612980025524466,0.4839902771597783,0.3683130439519421,0.392590565818409,0.39096314557451817,0.520754153486402,0.6010429209955341,1.366547727762797,0.5575427681619621,0.43735283187791457,0.4683204357742263,0.7886628417861217,0.3721301275360623,0.6967342768335169,0.7317617469569154,1.767452663290026,2.3464391640540487,1.849698040071213],[0.5948972346986551,0.6251212573259859,0.7263436692906097,0.5920432864747049,0.6160767705661915,0.3778810085774804,0.24069728302606597,0.26011200369100906,0.3650670998689817,0.39552802610194704,0.41855172038784305,0.44877398223687076,0.4088001223932062,0.4707545896161724,0.5140512525157038,0.4623732187596613,0.47102740914311486,0.48186802371093457,0.496464391265769,0.5332432144477202,0.572307569239383,0.6613879168676993,0.7008507105732639,0.760729388433632,0.7384669556511045,0.6430074201369025,0.6198683315860459,0.49815441434140767,0.46548425956617434,0.4452580797119623,0.5103710669535657,0.4832766712906178,0.4957631823352368,0.49653277317812644,0.46269189135680255,0.4817153976621324,0.44598059557656144,0.5145060130450018,0.4639657744069764,0.5463247867964797,0.8893505088716198,0.7069064992686702,0.6146398147500277,0.598733933744249,0.9833339128721575,1.3172719953770098,1.3657837298405824,0.6956451826259225,0.6009926577981674,0.8585479217745731,0.6421236119180718,0.8269972255559812,0.621344962851126,0.6394353786086235,1.3177146324426532,0.6065526487100116,0.6384543590821204,0.6895511311332818,0.7076343696453613,1.2571816253303245,0.6280631396966434,0.6546765591650172,0.5863999159704846,0.7254719368131752,0.6603826586740797,0.6093597014722314,0.639528125400343,0.5283884395983327,0.6223316192774417,0.6321356653095607,0.8307743534482483,1.0203983679109436,0.6996544811632439,0.8084739762521252,0.6651115773978741,1.0764768423445075,0.5199817981962295,0.5078074029732644,0.47570698545161233,0.5564128657413336,0.5001494558312541,0.5896344911849912,0.9337831482662513,0.4918503521244762,0.6969140302739926,0.5027284048568856,0.5202751612323444,0.5514201241564277,0.48530789289405013,0.5596355169154348,0.4624753560700389,0.766594003137566,0.6412775794641278,0.5025807723515368,0.5063115804222398,0.5445574131640145,0.6306531320027304,0.4783887015015489,0.44192946741289624,0.5406041040071662,0.44407367160923444,0.48391769984332306,0.39773353708517173,0.40142387258091194,0.582878694938991,0.5124016472807112,0.6657167463413594,0.4802690702153235,0.5139357836034363,0.671752317208158,0.49037674875745924,0.3998555930066128,0.31553157878685895,0.3682811609243572,0.3972433782940879,0.49668694503366323,0.5498505826024466,0.5166106246905615,0.5318480602061517,0.5053960086304354,0.5035119315479126,0.48348108771176573,0.4867778004652815,0.42853211673290215,0.38279047382475834,0.4310979820004883,0.3826507668910079,0.42922609195489764,0.5757500503133999,0.5920961673882601,0.6624353672693918,0.6994220086382817,0.5445104699333033,0.5524945423680688,0.48998527969684214,0.48032054288249987,0.6063469645964726,0.5272671479305735,0.5256927457758191,0.5250477960120884,0.711784931085615,0.7178616757694877,0.5028510898209051,0.45594653707711624,0.5246679868293531,0.4925771064312429,0.439628778398802,0.43676778501947877,0.3337464792427358,0.35956825415974414,0.3833773998573161,0.36811108162101064,0.6019877612959526,1.241038251542523,0.9473083892568104,0.39839919400352547,0.36900648350360976,0.3723690455344292,0.37781568010789696,0.39041367123105275,0.3870656590791028,0.4328398467150195,0.42716179428829093,0.4272191214699875,0.54306943669594,0.6089117626244505,0.7330340990114298,1.1401807156233168,1.0809001063189336,1.0029605859833641,0.6831030169541715,0.5076912695974206,0.5093235889036036,0.4298898327746666,0.39507704805597954,0.40688573430697594,0.4249389830343051,0.5105371725948799,0.42357175139517766,0.42763543637511847,0.7577485870295521,0.42825720647077986,0.4756037841657092,0.5394831347658948,0.5269955522208247,0.662774545122633,0.7224565454536199,0.8638442640366305,1.4515770395402743,1.1045189190603586,1.1324622615711741,0.7844795602486376,0.7623107691762998,0.6908603087255728,0.6410288957563156,0.7343300300571023,0.8741462639846734,0.7632821845423827,0.7421172195257438,0.9602305749067447,0.7409547262373744,0.7506936564946327,0.7554444808454567,0.7100513950580922,0.702986684813122,0.7140679425889738,0.7017181257075897,0.6844119496905462,0.6745040079639967,0.6815428131278094,0.672067870540185,0.6765501007909323,0.7162578713464517,0.7333364539411256,0.8140481349907979,0.9778555637085669,0.7791715409756728,0.8500298640108456,0.7215814700283433,0.7066887914905574,0.7330761327111973,1.4100924135442738,0.964060016304318,1.5202683545871947,0.8668301663427272,0.7560806480452064,0.765360248180859,0.804506243476337,0.7781729432373834,0.7029442606327498,0.8678387293159137,0.8854676819217463,0.8484948331536134,0.8331312779112582,1.0772286317515505,0.9289234608637391,0.8990554372609643,1.0112654671942067,0.7806546715486677,0.9548650869529881,0.7949070304486843,0.8152820282191311,0.9087482506002872,0.9090830604366691,0.9828333481589911,0.8767177381074497,0.7633868687289783,0.8253872303281691,0.8181809201859155,0.7437297822456034,0.8021260557198402,0.9072239496874556,0.7148551869689267,0.6899527573516966,0.7450454009589265,0.8014471527735826,0.7025391425855492,0.6963077699944823,0.6902952654575811,0.7087269191020993,0.7340112599462711,0.7574438431179181,0.7034839820024772,0.7045005373880079,0.7434570311635879,0.7293788527625948,0.739432848139088,0.750645209814595,0.7716722560919796,0.8886691823419676,0.7758220387388468,0.860201923086745,0.9270016830748176,1.1315172141974355,1.0678540284449778,0.8862223371173191,1.2153209261870814,1.193634825486021,1.038327513207825,0.9048755601171844,0.8403760759568226,0.7454759620797808,1.0522838119291136,0.7651207261710739,0.8140775189974124,0.8141342424623793,0.8118502979352548,0.7630246940558004,0.7242769856422827,0.6749835646815111,0.7092366689026386,0.7352369543468626,0.7273459184426361,1.228643024476362,0.7197376655396086,0.6710603655954707,0.6272737184452585,0.8400947368989695,0.5476474458848898,0.9076356271777729,0.7733570428076114,1.471194040844288,1.7932014146953583,1.8594071370445513],[0.5427434996225865,0.5263127974639618,0.4704653741582728,0.333116544869352,0.42268900805851733,0.3399731782978074,0.3226945102370725,0.352308669772435,0.3832729420601668,0.30888446768244726,0.306018131092463,0.43437454116044155,0.32788387674926506,0.3386726407825363,0.3802067287695722,0.3548684930214498,0.40231775499556266,0.3763565993254511,0.40911934654257964,0.42622495316446707,0.47533237268532796,0.552398399127813,0.6580810698807037,0.7139246892628506,0.6749276013261365,0.5700991653403905,0.5182054609040603,0.40360333772153156,0.4075621617457925,0.4043713757732497,0.38926202811468497,0.4094527238070817,0.4466423336293779,0.4162377222534442,0.3950810904917629,0.4281780906231601,0.42569011622793046,0.4727676188893597,0.43315499900718857,0.5085671887238176,0.8228090769036402,0.6265393427001867,0.5487194247795465,0.6181816287715532,0.9633229901124728,1.299103328752551,1.3576684480781247,0.7212299497702442,0.656128520913307,0.87963626449183,0.702489857510527,0.895803719547769,0.6647351335887094,0.660075705515623,1.315441520488976,0.6139556683335523,0.6309057204443913,0.6888310520751244,0.7196597264425219,1.2709508612673093,0.5933053594418064,0.5990521976332954,0.5240719850140502,0.634669894140829,0.5578938596927798,0.5313549488118747,0.5938621336408322,0.44207508569009224,0.555767594843928,0.5322866711221319,0.7747950575976241,0.9787964233436919,0.6086207657879474,0.7684636755321992,0.5434387386433303,1.0029350717623096,0.4437511461385831,0.4298262318284145,0.4116605320019413,0.5427037193477439,0.4709923382954899,0.5328208807297791,0.9721901016873569,0.5156886196799861,0.6442237091421761,0.4813173489567,0.4596205160243521,0.5341272937320845,0.42669913300355794,0.5083406244945067,0.42102990686665426,0.6792729373906373,0.5437626138778535,0.3963335921720604,0.399749536190061,0.4704028776499562,0.5358747489508997,0.43185326662530854,0.421756985979906,0.6015885078578285,0.426672786089541,0.5281378980039901,0.40101445913191275,0.4349073668209725,0.6723571211392776,0.495531945364337,0.7019473700892193,0.5037428581790282,0.49237673027770384,0.6924514362987064,0.470952452905701,0.39902231635877716,0.33170206943264374,0.40915729350023156,0.3540880508740117,0.41395640786785365,0.45399986176770973,0.46062454005490894,0.4905485284528476,0.41983251867174154,0.4088200638869749,0.3928357458284841,0.3965640304034829,0.34238091067157717,0.3699729904673807,0.45803503733686113,0.38533936008652186,0.4782120987575068,0.4878144467262463,0.5097951677911097,0.5446497373208148,0.5829140382616297,0.5179980299616116,0.5307384380179933,0.5200448689486394,0.5286841602760729,0.606808714074219,0.7025718561906552,0.5857689004193272,0.5207096747149094,0.7336424284316166,0.7603102560109753,0.47269011132860184,0.4291516807976271,0.4816114509555186,0.4969582627266416,0.42590771472191225,0.4537725352741158,0.34514353488277577,0.3814998346479871,0.4247972094003564,0.4689353663268668,0.7560612408253724,1.3879925846630763,0.9836799988140651,0.4609763140435896,0.379701565359388,0.4043556948183996,0.36565791413637005,0.40271330795776566,0.41841603024528234,0.4462073866430603,0.4827223744946632,0.4600516865104631,0.6526814638834679,0.6743385409330239,0.8481954536710884,1.2800795008963965,1.2399943780067026,1.129986405279502,0.8020498963511127,0.6273317393733935,0.6141637412990494,0.44927522668946795,0.41744336002071086,0.44491866215547043,0.43339861501213023,0.5809853624719239,0.45303678506916095,0.44768482997665215,0.7232837395545139,0.42873473408025264,0.49401094639556703,0.5430680703765247,0.541490311060337,0.6328058185979426,0.6945543002126259,0.8430301703959918,1.410286893709914,1.1468668277312504,1.209153187314024,0.8167399576807844,0.8579166692458847,0.7841846272858137,0.6666845822046321,0.7308231020251708,0.7634262186191118,0.6057651115749976,0.5664375798553538,0.7635585034937138,0.5647821938255605,0.6051996720740697,0.603700085222606,0.5410072539885243,0.558813852502593,0.5911848664839935,0.5599460386519289,0.5569215616089057,0.6166231768159647,0.6210958635160254,0.60178908871788,0.6592285998881848,0.7559554505268383,0.7586633871826645,0.8364065290729054,0.8860433109051136,0.7681528893443226,0.7301436882503856,0.6222104654232075,0.6600869365911902,0.6521928365691222,1.4263379143934598,0.8934835109657562,1.4083390754840919,0.721015681089231,0.6522287765625356,0.6641535848616742,0.6465649295676347,0.6918210795516457,0.5878536957227457,0.7119447573236752,0.7045165330285703,0.7300515976770758,0.6782689617077764,0.8803939919825138,0.8429338558241656,0.7726172409532515,0.9561751573299478,0.624732728096438,0.7566277613143256,0.6053058155859318,0.6724428499660385,0.7673484682468443,0.8737122070782073,0.8912930095687532,0.7735647329071855,0.7040211237387963,0.7746890017317518,0.7681945076407053,0.6815290579253234,0.7802827924103899,0.930943850330542,0.6999494119098817,0.673973234851687,0.7919227269406807,0.8493784393381065,0.7018903142793992,0.7010954150188923,0.6604217733187979,0.6562350569268013,0.6256459945869927,0.6308765738979057,0.6433599660135261,0.5986261033918057,0.5801566530496094,0.5850434616416872,0.6043410568118931,0.5824745593524367,0.5940981490839391,0.7398611636870689,0.6227378940321253,0.672586721404978,0.7494207502469895,1.016516616443842,0.9292226806389284,0.7621759101488265,1.0781642863016867,1.0234498852107854,0.9998469178987193,0.7866192988381682,0.6984552014170406,0.6154277022751025,0.8310300343323065,0.641987956233501,0.7601326824384422,0.6863038874438343,0.6556512421874258,0.6371356143618656,0.553550879280788,0.5302015097500189,0.5939544601737492,0.6614569882013819,0.7003358165590549,1.3120120456343587,0.6884828866507121,0.5380412144323352,0.5038229661730933,0.8441694094242854,0.4203521847783918,0.7367969051531867,1.0171407524601113,1.2495095051317342,1.5796605141890807,1.9602017945228953],[0.5186655079492203,0.5165948769646656,0.44742115107620684,0.324648025950731,0.4741853678893314,0.3321004396311167,0.30345437687793236,0.3476102528071677,0.38926360031525775,0.2672528930325213,0.29480232434185144,0.4199042466569558,0.28518628228922677,0.2722846218256516,0.343261189899507,0.30756108025163026,0.3381919529279827,0.30975383975709003,0.37560292534954753,0.38365626342524634,0.44118526585839946,0.5435620112254224,0.6626160336566066,0.7514496707200895,0.687070471810115,0.5607586658464491,0.5216383881494345,0.3625930379518559,0.3407319335157644,0.33025826652930285,0.3563037668252382,0.3506212620321059,0.4175349251157659,0.3733663616768618,0.337736851277433,0.3548708915489288,0.36393848777172866,0.42492587233624574,0.38157308935492557,0.4801863226422925,0.8207172487959469,0.6213282268263725,0.5368400038170361,0.5875381451830373,0.9929081916676668,1.3089335147275922,1.4188708741340996,0.7306204563816332,0.6184008518971182,0.8943071049590203,0.6985808321389667,0.8872149081839577,0.643753994962785,0.6479466350834471,1.2675963747426113,0.5674128067890614,0.616249338633043,0.651457413717532,0.6737997773418285,1.2877508261855581,0.5937306409698905,0.5808485948798029,0.4719219265271429,0.5963448803469077,0.5431886280220891,0.4903143352712742,0.5382934793256992,0.39140032283871845,0.5103111264198475,0.5174476224499555,0.7238453603190315,0.9556244933197624,0.6136085924340998,0.7635627624281194,0.5037519602768545,1.009231864161871,0.39726132961346894,0.3948704448049424,0.3590098222791857,0.47688298447912214,0.41816666331417757,0.4851599629566419,0.9220293364852916,0.4799483631867002,0.6263269464743699,0.4372306411065485,0.42154071516916053,0.4888790016754907,0.36084118483680677,0.44472171348458633,0.3875196260340465,0.6922126496590687,0.5416541846589692,0.35512315249235166,0.35241452667347684,0.4536425803156247,0.5194214238962517,0.4020069338854375,0.39659376624015014,0.6136100757629483,0.3899076328084325,0.5160528193233828,0.36784072198405526,0.43763471855693814,0.6681098671555222,0.5075963313134069,0.7120157368800198,0.5430445188926956,0.5327427318043011,0.6682473406991184,0.4877493434730768,0.384019721551526,0.30235993962498287,0.3501863308918152,0.28027947044608315,0.3915117469073585,0.3995580542756022,0.445728809716009,0.4648888169398304,0.34806325605817734,0.35295094534875515,0.33393917835725934,0.35038292182212927,0.2643336517243903,0.2921220194899561,0.4278280956120934,0.38612084483814507,0.47250181986832646,0.5289924021647316,0.5291653195834051,0.6224210497833826,0.6577964666225811,0.5711713584324577,0.5322316217623789,0.5313955037103759,0.5111258249152119,0.6179049746467864,0.6385901243319081,0.5418791810316228,0.545686475083995,0.759870712868228,0.8501782595626823,0.49246641646366557,0.4103249475437754,0.4487176649832471,0.4295298416857374,0.36472791283350836,0.3863234470281211,0.3001864789576032,0.34904860537520543,0.41008659982254797,0.4768602133938729,0.7791640962317722,1.4240481101054348,0.9851940472646414,0.4647727909798997,0.360140820347134,0.39337649207561903,0.3259203111509866,0.3796875727824905,0.38003682555182594,0.3808163206227848,0.42776213259107215,0.41639337778092517,0.6043388853421655,0.7152812100140736,0.8476096469598768,1.3187799583894533,1.262468478537828,1.100137183167369,0.778266862178236,0.5921312840323669,0.581656837996144,0.42660784317755607,0.38596651076158117,0.3932036708399581,0.37249826730486446,0.5200150408382788,0.4117498718265265,0.4227170004241273,0.734105778110791,0.4268507069065267,0.5142424054471328,0.5918770400238718,0.5800553261080452,0.6638275953485809,0.7027395503521611,0.8745067537479868,1.4562171868317777,1.1604085018641295,1.2379380477258306,0.8581264001682533,0.8950204202371945,0.8246479897001044,0.7293810443067448,0.8418898643346755,0.8627312233042859,0.7081165746465303,0.6817854502054519,0.8553552846143426,0.6539919739375242,0.6738640283364702,0.682236962835989,0.6366269246059802,0.644205362879771,0.6699167698443328,0.6558380073994183,0.6355134250581985,0.701845958685334,0.7207050662122045,0.6895667599104401,0.7678735047742374,0.8675656294201849,0.8860990946703254,0.9631773902227359,0.9690915408874461,0.8633136201556132,0.7885228726452228,0.7023530663491047,0.7450873080937896,0.7351213631327608,1.3419271005944564,0.9568999772838019,1.4475587868516773,0.7882647651537219,0.7374350461102831,0.7260561677289046,0.7158341305399665,0.7974813077567852,0.6747797035960332,0.7990020339273325,0.8013702555060508,0.8200945479250996,0.7989341003243265,0.9844529579902662,0.9787006265291124,0.915314074616965,1.0637974301263633,0.7411184577156386,0.8344488478915425,0.6557615569773035,0.7131218145530742,0.7946177038479182,0.8917637350178719,0.8908799262700705,0.7991718589386954,0.7673399711238682,0.8124812151854531,0.8044469497444948,0.7507548469292298,0.8417587692753409,0.9873327591500711,0.7838562108073683,0.7632289321300382,0.8682256677864577,0.9480145937988846,0.7964254563010004,0.7976149411189332,0.7613416817657883,0.7459757258812941,0.7055367238743006,0.714523530040369,0.7391288336464306,0.6862149001953712,0.6571031480949191,0.6735310590065815,0.6920187522731378,0.6684283330634498,0.6733547880551473,0.8479126634026657,0.7062943770418888,0.7864913485259186,0.8494113121854073,1.0755326347947376,0.9691467306739527,0.8081652348785309,1.1249909297991594,1.0235190443395508,1.0413054356377631,0.7949174464502703,0.7262899340720359,0.6919024553748948,0.7506346762967947,0.7030737835013007,0.8566781112267613,0.8031465507808543,0.7928250294325406,0.7412726107255552,0.6496769609317787,0.5724244087218511,0.6819463788437193,0.7107740906854936,0.7451115521013869,1.2795918640090238,0.7274953618067919,0.581914198057531,0.5168681295080216,0.8529873222297477,0.430543621370532,0.7625062033240646,1.2671829103364392,1.2019245573223494,1.540423594034878,2.58900971380552],[0.42972012411475136,0.3869988915800432,0.3910638781204618,0.34627351644875426,0.5139736279436397,0.41046017117269695,0.3761771989165449,0.40630036191261365,0.4217939637142947,0.3162757782203112,0.33753360759115786,0.450135828595026,0.3360089167284748,0.34790241109829884,0.40909280000543585,0.35249899211881247,0.3933161807535844,0.37242450156802287,0.4352094352983246,0.4335971873526344,0.5042141580386666,0.5747537527476073,0.7149489906801955,0.7976847089454101,0.713041609220376,0.6053200680299697,0.552352040394255,0.41392502050727836,0.3927367764168573,0.3761620298391124,0.4165387749159983,0.38586057660128126,0.4539937453287281,0.41846266468184296,0.3683886972346952,0.38743690724105473,0.39721770892577984,0.4493829129571151,0.40424342286084153,0.47777318618562475,0.8123868201787009,0.6318962355152231,0.555603533791877,0.5973071554024343,0.9901634476481941,1.2894814697307306,1.423666735836072,0.7558045911409613,0.6427888150250524,0.916310603945181,0.7136387317667999,0.9291862935823515,0.6531349796054746,0.6614776204740478,1.256033731059471,0.5816871311022297,0.6456193052498288,0.66207593227118,0.689134578177972,1.3281942690044215,0.6437723625018315,0.6141579199677373,0.5172552329509709,0.6545770799972004,0.571390464897987,0.5276552444328254,0.6040579234215772,0.4536606414498832,0.5814300122415079,0.5699439387819504,0.7521603834504019,0.9953569558988485,0.6485051556489132,0.814751231095935,0.5506160692057226,1.1061247255130378,0.4494911740120255,0.4455875468161676,0.410258988697625,0.47762104715194853,0.45135967770292656,0.5108073876499745,0.9586580580317808,0.4922208863928914,0.6306864638936334,0.4564156861747106,0.4485219361949529,0.51453766396224,0.3903158401242138,0.48322554508345933,0.43015922248506533,0.7221156917904274,0.5756840361093186,0.43168158719372646,0.4172780227360067,0.5227000238914021,0.5709023859918801,0.41530237309103935,0.40947535985170086,0.6603210396774423,0.45736940345385985,0.5797886684020666,0.4127148136242612,0.48459583059686906,0.667528262303718,0.512621104250033,0.7341393275369202,0.552716472803637,0.5476321605497461,0.6928238546607559,0.4966961381383149,0.41112993107980744,0.3643004134738913,0.4040632298713065,0.3452201525202488,0.43927702584373646,0.4315394667641183,0.48787646472559315,0.5317509489012128,0.4164023745424348,0.40705035938902734,0.4104275718192308,0.4207241720611401,0.33431674875129735,0.3740741536478788,0.46508816696977573,0.4251068230314594,0.501662904654213,0.5268146401088769,0.5234271494017501,0.614112782779591,0.6527243586380194,0.5836613958957961,0.5372635061601785,0.5470942268044791,0.5298136711632663,0.6160528675062308,0.6438656222509083,0.5394797149271865,0.566801703466409,0.7782558431842709,0.8818745363475963,0.5267114312275216,0.4369166556576731,0.4535686398804674,0.4570700536736668,0.3902944583830675,0.42943270753853974,0.36035681957995286,0.4190620022010466,0.4891100053012093,0.5498801606917588,0.8732522992953098,1.5327135682550213,1.0498656939632374,0.5537905126617574,0.43448041488865613,0.47105600287035143,0.38054780905233315,0.43175892008632155,0.42036207037999856,0.41523999044251947,0.4489440586217557,0.4341099178138783,0.6003793659850505,0.7109533582728998,0.8534005629525948,1.3440811179570422,1.2754635221649717,1.0921598724693584,0.7801672947092422,0.5971833815947905,0.5883037515617016,0.44371333869591956,0.41452036865477954,0.4279446798770644,0.42464022084221736,0.5613901549665914,0.4308882021733819,0.44647899973719385,0.7417388524838175,0.44372723138229453,0.5230141513358668,0.5976651987377869,0.5844412028306883,0.6593447647549548,0.6960892843604841,0.876254292208082,1.4621219640924927,1.1627370013441183,1.2604508732354973,0.8690938831742223,0.9168923988988881,0.8439406037458443,0.7439065200307101,0.8493573848765679,0.8556162305887836,0.6939523988731067,0.6690605938758001,0.8057498708280663,0.6383475570026568,0.6523258818656719,0.6580556013192431,0.6399099859564321,0.6467576901116353,0.6644703775843218,0.6585222154256142,0.6651526687577196,0.7415927361715058,0.7371692978285949,0.735446189601733,0.8509093827381298,0.9245800538508735,0.9363554351507972,1.0644631003996936,1.0077587802317765,0.9851056682220366,0.8724553527373624,0.781755432938459,0.8511479110002907,0.8344435213919038,1.4026665333863861,1.0634399334251161,1.4901287262703138,0.8313356989001415,0.7857704348470761,0.7558547261658155,0.7174160181222474,0.8391704447985092,0.6928722653379246,0.7898735218178988,0.7985635613738739,0.8467222043687954,0.804682758923224,0.9468347001911698,1.0103850580261793,0.9150857961307399,1.07492259515667,0.7509812663486557,0.8039636857215016,0.6343476149458238,0.6931785139767142,0.767237201043097,0.8869602877939021,0.8693305832686234,0.7729919086536716,0.772625513223048,0.814888583162837,0.7886099856219061,0.7717316534013465,0.8771651569156255,1.0250012738625116,0.8294624245409965,0.837599534926873,0.962036736651861,1.0555748954530197,0.8699992261953778,0.88272055543243,0.8422972825110275,0.8096884672097775,0.7432110414278998,0.7366078896369267,0.8144116104690478,0.7312565229716902,0.6783379215149998,0.7350446713304517,0.7544163411690055,0.6987067777533782,0.7092470729077194,0.9256003004620711,0.7518656542010085,0.795023106316972,0.8684565168990855,1.095290654902971,0.9906047699695006,0.8594152054604658,1.1069839292527424,1.0055274179184628,1.181690067484487,0.8224267664456423,0.7554858573486203,0.7134131882552527,0.7317956966777684,0.7645376286573616,0.905139800776564,0.8242182726080829,0.7973432714347937,0.7514351710948209,0.6366562829062243,0.5822651090764496,0.6785601582669052,0.6770915595608294,0.7276057922446537,1.305959470266889,0.6905596702238295,0.5597886315792999,0.44908701185560496,0.8059294934018472,0.3620941010878985,0.6872771923736728,1.408710758944347,1.2263923858117938,1.8400909267694359,3.1150654013084353],[0.3884396012380373,0.40179520531960217,0.48907324623241005,0.41326636357039964,0.6242003081486285,0.47631966735016673,0.42596439822683335,0.46388633477820385,0.4256760810178423,0.3240759813378407,0.3328143847279105,0.4471369844721185,0.34110861399486775,0.30275671151394035,0.3687340955354133,0.3471730040964232,0.3777892001029568,0.3655804428264979,0.41204587484817273,0.455065503530956,0.5070512755260747,0.6222246769970686,0.7420972943447403,0.8193230070568491,0.7799659708299855,0.627825790170465,0.6052028836221903,0.4305310527349393,0.4147272784926267,0.4099878899346384,0.3906309727501617,0.4006894894331014,0.43003434115887657,0.4077973189975193,0.3835621959436158,0.40981568275418423,0.4359941531581526,0.49149951641003986,0.4564773783053944,0.5789461604722362,0.9019000058668007,0.7073934921626536,0.6193470923270212,0.6372324116020509,1.0707602235696312,1.3869430748048497,1.5287217778561577,0.7834736481463075,0.6723200583585484,0.9596312412439288,0.74179023465838,0.8637817359107973,0.7017083863409792,0.7207633994873621,1.3246972154404224,0.6411757254226014,0.6825678444013217,0.6972125941674632,0.7169658363947337,1.2970071506928926,0.6548781404323621,0.6159642884560299,0.5084238585071582,0.6462088704091579,0.6141170594226173,0.5414594745504783,0.5623866194238503,0.4284365108452314,0.5385036808533851,0.522321503222992,0.728617228016529,0.9512667826428939,0.6054974250223412,0.7622589039431673,0.5445187724478615,1.0460164047048712,0.42297477654956483,0.40974852995459093,0.40852939765364327,0.5067947578919592,0.4886610241152905,0.5719405469255968,0.9581985236057556,0.6099678403562665,0.6954697917999664,0.5329780673572145,0.4984190939420776,0.5436299202493605,0.40453519183459635,0.4931256085647006,0.4002245365336241,0.7026079871371699,0.5571710648451317,0.3741725551409558,0.3769920498357404,0.44092278682370517,0.5066426604244179,0.3824218386659472,0.4049032423623835,0.621571222743017,0.47551304305920794,0.6031134862065799,0.46053819645231353,0.5659715473794698,0.7991976140858116,0.632438897885815,0.8416565056145014,0.6752334761932665,0.6641751556310624,0.75020688311287,0.5917989244204528,0.5039489260914002,0.41091575128879193,0.4525938520514453,0.35313507747169487,0.4679855955922225,0.4732620492347308,0.4948485067915385,0.49440148183830135,0.41000577557277246,0.40759823489554176,0.3880646989056234,0.42113329877814376,0.33314534784308364,0.3514868745636197,0.5133391703498503,0.5035654935487582,0.6218096835932272,0.6616864186890181,0.6613033206923697,0.7459965335754841,0.7787523752113973,0.7162282033913999,0.660792483366101,0.6658213051034183,0.6259266661320495,0.715407514863235,0.7122025815176029,0.5626600403225628,0.612977181163908,0.7674089713875298,0.8924077691239094,0.545616231394572,0.477739968232339,0.5410935852828419,0.48484294436674863,0.44717480505003265,0.47495419540624173,0.4089732166598734,0.46295962992068673,0.5445078269057809,0.5635472033595343,0.8920509796168704,1.4324119975213656,0.958272755488302,0.5615697149046993,0.4483286333004761,0.5239199727120653,0.4145936765168137,0.5042704500723215,0.4881327331387941,0.48523459901556093,0.4999210003813853,0.5161033400888265,0.7260090074130084,0.8151529121517239,0.977498976282727,1.423731098699699,1.383001973730317,1.179578110419844,0.8950438574592586,0.6872935713756319,0.6916621220388253,0.5554585020624003,0.5191570223552574,0.5363661623700614,0.4722684271505085,0.6097631770381767,0.5315323354271414,0.5683455916921826,0.8412305850842314,0.5684924431046171,0.6595014615662272,0.7350652065876175,0.7036564362834686,0.7958474120144137,0.8157691002466233,0.9595979990698659,1.5314970470954876,1.2784037904182803,1.342893719978108,0.9177691480994947,0.9916094081668124,0.9277531716120845,0.864662027324852,1.0032480092759295,0.9597520983756547,0.8123639726309622,0.7943927224740135,0.9121346832800431,0.764715089505301,0.7745810910953905,0.7753268007672736,0.7647770472216598,0.7614751821090894,0.7746416025957267,0.7721402594371507,0.775920848702877,0.8329975660498212,0.8468894429859134,0.8469754140520644,0.9507479467753543,1.019304179294568,1.07733686468351,1.1724592704003627,1.1194380895817937,1.0457486387583173,0.9268863017939069,0.8634320389635034,0.9284303429033871,0.9092206696721756,1.377298000757831,1.143021128378457,1.5136840859056122,0.9365876541474464,0.8959074799618565,0.8489731592067372,0.8270144101841219,0.9823721889998401,0.8197833181571914,0.9067515676473724,0.9097355966252137,0.9504998756214234,0.9267504235815684,1.0332217676659767,1.1106506091812434,1.0196911015898102,1.1859619659873541,0.879794495667626,0.9088378922213801,0.729638941360346,0.769058945123206,0.8185593757021331,0.9666043670881347,0.9550273552853623,0.8804294826750759,0.8754459412878217,0.8715135199840134,0.8706781823913056,0.8565265753601986,0.9264597108280462,1.0520298836956985,0.8990604547937119,0.9085844446724713,0.9917827236005264,1.0888653791140994,0.9425363113784352,0.9539143024252826,0.9271076745739828,0.8971718577269582,0.8327404514639835,0.8347380802985244,0.9033610269112204,0.8268805421693002,0.7810649303810943,0.8391986298243913,0.8501758120627269,0.8116794302681369,0.8160203466300391,1.0043215510267363,0.8354537850827316,0.8960931716318993,0.9332730274153002,1.1050718792473857,1.010967825746214,0.8942323337022297,1.1178809726675596,1.0236149244977621,1.1902301955419903,0.861003181849743,0.8257311578370458,0.8419929707743973,0.7883467788170438,0.8421823872014064,0.9745213602900232,0.9083074610453887,0.884218217500906,0.8625292804637851,0.7779523732735588,0.7033171082772169,0.7856811122077102,0.7499323730043531,0.7833840862326574,1.1791723875211677,0.743242919728547,0.6055009647977333,0.48741557450989376,0.8621815331325257,0.39928520282469604,0.808680862421504,1.6054352105129814,1.5010015317105088,2.34485530138597,4.118102383772877],[0.3530297489738638,0.3592580639100788,0.46294525705715117,0.38726770642010766,0.5968362656689808,0.4288292436785581,0.37371427005294544,0.41232547217616017,0.38749505242034965,0.2895511695146446,0.2947016828768712,0.41692122991808234,0.31749584671331044,0.30101909793016174,0.3725997994702936,0.3253952837380233,0.3789955355160011,0.3629672547887665,0.4301472472431804,0.4560063380265141,0.533628173026322,0.6348797408064739,0.7716664517963594,0.854972506231381,0.7915430074844994,0.6468279502565157,0.6161152317181857,0.4202582069939966,0.39838912286551803,0.36208074469351414,0.3800634152361655,0.35758405308359986,0.3956332529909908,0.3772096381591894,0.3520321745446089,0.3810709686960897,0.39396917438630813,0.46948768427944254,0.4489685027649816,0.5682528736860869,0.8808271948861381,0.7069112794026658,0.6265220263389192,0.6649398239426086,1.1088148778425853,1.3832985075385185,1.5680572397252437,0.8425365188079187,0.7231243996968055,1.0020694650474542,0.781955862173963,0.9340519023016123,0.7160420149739994,0.7174277208919082,1.2664097085859323,0.6326971327245782,0.7014168647542834,0.6885637705284906,0.7084259591468816,1.3747409472780157,0.6796375808978009,0.6470553102487506,0.5381587362359576,0.699036304676088,0.6434466631061306,0.5505556175661148,0.5969814784576979,0.44033687953840617,0.5680106254918195,0.5577712031240224,0.7407096462918812,0.9872837021516299,0.6332202552919374,0.8153824089033578,0.5406953440019014,1.0907414279366066,0.4340563810945734,0.42293491468451555,0.39476599230743054,0.5013454168546466,0.4554825616050125,0.5387499389533753,0.9334461840851725,0.5888700297747769,0.6949676101281226,0.4929840207961197,0.4756430920475389,0.527032461656819,0.3917361671895425,0.4574301162060283,0.4056073337745521,0.7221824975846105,0.5666645988398268,0.3772894977016874,0.36944586198110263,0.46507904704694114,0.525371007866534,0.3721999659925299,0.38052696333229924,0.6235343140963331,0.4275233228370627,0.5551199042588824,0.41600152672659485,0.5146114694063378,0.7659300781496129,0.5982892825015994,0.8189266773982895,0.6747368902502178,0.6516046295106911,0.7294951430683397,0.5582870050316924,0.46957446459855007,0.3694909164378985,0.42019451717879525,0.3401573144842484,0.4736998963541554,0.45126499735067765,0.5043512467205404,0.5241295102837125,0.4114719445671597,0.42535411098062154,0.3993385908667064,0.4303383570494988,0.3224917686312826,0.33705876165743276,0.48880868181074694,0.4720684864813917,0.5942952856574397,0.6348902847671052,0.6359305239824485,0.7377310657532897,0.7630847330465469,0.7118430943961387,0.642995254292822,0.651061726755059,0.6105705153060939,0.7208196425475064,0.6943983378847923,0.5737664411455465,0.6152324525114186,0.7878170911316746,0.9384988940603359,0.5583573241387799,0.479286723647229,0.5180929883068026,0.46787607105019924,0.4273503528155827,0.434812123871727,0.36656174286813614,0.4250097166492605,0.4947165142688649,0.526333020376133,0.8707655103394882,1.4522840714650074,0.9776508736634655,0.519209443124403,0.40482021569614357,0.46853109791532777,0.3718680119139242,0.46448859360332256,0.46492118794148385,0.45915839487092275,0.5104687089509597,0.5181770499058862,0.7075068197977052,0.8373404777171276,1.0017682000212946,1.4849902391975147,1.4179595462060426,1.1771958450245474,0.9022970122590807,0.6850973099811465,0.6856586529782344,0.5405700822058753,0.4924654376769025,0.4936228307782867,0.4272732841616477,0.5700497041738974,0.5019330281825777,0.5348719636543924,0.8308904003581792,0.548128301037997,0.6544750952991057,0.7395161379676196,0.7006807071489419,0.7907291759395452,0.805743243916745,0.9588801836765664,1.5351209945675335,1.3232890980772238,1.419934567303477,0.9526268384072719,1.0433292747395406,0.9581481273986716,0.8935842078021317,1.0480925147882794,0.9813893539094979,0.8282496362217169,0.8074412535546399,0.8907167189206361,0.7633147248165252,0.757183224179031,0.7493165390727642,0.7708506032104318,0.7775140541313211,0.7698151901506105,0.7755247501865777,0.8219968909477259,0.86348590332698,0.8579350424261287,0.887952675920555,1.010687867253395,1.049597577040903,1.1046714592328022,1.2499035332441994,1.1750144388716803,1.1575656395396114,1.0398440455590192,0.950036150329061,1.0372263532823787,1.0296112897285281,1.4730079010445962,1.256032874476987,1.5428628018065704,0.9940182317571894,0.9501647510512556,0.8858979512595044,0.8827808701593471,1.0501988149595447,0.8713395652870759,0.9457487521733297,0.9719436508586468,1.016130036443062,0.9763807246008314,1.063997640307829,1.2129596820103539,1.0879397500830004,1.2029257435323215,0.8956141695967306,0.893582735171333,0.730366984817793,0.7669294502420477,0.7994538580223625,0.9573808692425545,0.9348204687903061,0.8640192140511082,0.8852078736170257,0.8694894667765214,0.8548069066455543,0.8579564897661554,0.9363377187301795,1.0559536836571226,0.9044443966146927,0.9417095292455472,1.0342556114652726,1.1337156038378018,1.0043436830646357,1.036562948385781,0.9930371106607049,0.9593215150966701,0.8668338278711988,0.885019788960724,0.9898682586283206,0.8783291471599084,0.8263948031074143,0.9245335881510204,0.9337889358250969,0.8672758559305088,0.8992197900359117,1.0977625829200304,0.9194666281977206,0.9722983377011912,1.047063869602011,1.221299994355322,1.110237851979766,0.9910724389082263,1.2445302676874552,1.0913190372140322,1.3302669966072898,0.9259541575095842,0.8818533679356455,0.8625534853726861,0.8341144339413208,0.8733726739794268,1.021299887813691,0.9488218823904013,0.9064750895065904,0.860833114452164,0.7690836788153482,0.6728572281720737,0.7541100408068668,0.7204974000060806,0.7590667626843806,1.1726019308450044,0.7149023422275912,0.5884644559046588,0.47166278415080903,0.8225186718026298,0.3610309076901058,0.7554638046859017,1.72648491562124,1.6508635551737485,2.592577047542993,4.541625247529466],[0.3584912992310745,0.36222750723009756,0.5169351123712579,0.385839628066919,0.6016000153329777,0.43823564905689466,0.3856172730137447,0.43084368724941463,0.3835693782834023,0.2837245470059519,0.29926461085931827,0.42700583312494805,0.30459178210419113,0.2926807513204648,0.3595212250150776,0.3290970375721339,0.3412860140552767,0.33929220886351935,0.39447341217052057,0.4229183027119191,0.47679537235028446,0.5786519794680736,0.7119086608732051,0.7914498130840403,0.7401170311032914,0.6008978884632011,0.5541731279658597,0.3900161369220295,0.3745117371566514,0.3778399425896452,0.3707740398996379,0.3952714348790514,0.4383262382278904,0.3928252091684942,0.362745020876263,0.3815222666563114,0.4050193594717662,0.4485429641873588,0.4051573332621411,0.5263803418316851,0.8681732352136172,0.6558140165459811,0.5669559495093626,0.5912474501107549,1.0503280543171634,1.3702979755761857,1.5074172784271145,0.7534004470840524,0.6441828783471573,0.9337285087491419,0.7053242973008306,0.8460437322590635,0.6631579618534034,0.669659421816653,1.3223606532021253,0.5992528569195796,0.6233130001866121,0.6523556485635233,0.6810588200264098,1.2624933579801227,0.5989395916696558,0.5812720850451719,0.4838360309086231,0.6471290104859031,0.5685974634797004,0.5078690263860762,0.5664618496695981,0.4229934851163664,0.5487476285566489,0.5295915181007512,0.7596725209591455,1.0005559140443872,0.6236330358015433,0.7969606814000219,0.5247970351682485,1.0521162625397438,0.41147824137113664,0.3948417595628436,0.37746258721293435,0.4761096790789646,0.45480015817187547,0.5243994780235723,0.9625887224662915,0.5572498827462663,0.6511451133888871,0.4895908972022221,0.4534458450324372,0.5204247117075709,0.3749584650226209,0.45931174389211965,0.39251588349416616,0.6592781112486232,0.5213778852295603,0.37983027475607395,0.37898414329461927,0.4627006445805816,0.5114697091809798,0.39551492099813684,0.41648400260433077,0.6779595085512073,0.47002961190631526,0.5831916016402195,0.43680749786854717,0.5488559879925428,0.7682413231769373,0.6016929975434903,0.8801858116761999,0.6704869668031724,0.6636589155867831,0.7502654058010352,0.5713136261121978,0.46885312181258737,0.38031735809005823,0.41353451511815426,0.31590291993924785,0.4401449980979848,0.4471672151779399,0.47230842385998895,0.47943044063009005,0.390793237209954,0.3836948785805267,0.3795332131752256,0.4073245193687429,0.3069590310575415,0.3274412111027916,0.5002377664293282,0.47338993063991386,0.5824970545900724,0.6527507086233708,0.6431658317969151,0.7269719055074756,0.7879862159546768,0.697153808701933,0.6538942396292396,0.6400159663321429,0.600039988876501,0.7181311974700733,0.6866719346319409,0.5321160644511495,0.5859531988522083,0.7538946041368519,0.8707375695514549,0.5047912213564211,0.4386012957614539,0.48711507581988,0.44513760837371213,0.39885269461057216,0.43345241784190036,0.37063855301921883,0.4103581260655744,0.5071679077936356,0.550559447341988,0.9297089364417614,1.4759251930058896,0.988238631975161,0.566543587702719,0.4379949020903222,0.49920951233338196,0.3915476864126646,0.48556289330769337,0.4507818266865553,0.43678295350577623,0.4640365093723207,0.4676080478043761,0.6959673381790358,0.7910326218603585,0.9579960294242067,1.4246214060626605,1.3768682073043337,1.1766428996977445,0.8858974019205303,0.6508536255669658,0.6596732868864451,0.5178897676594635,0.4753836045156701,0.49919009477461,0.4357326638562826,0.6132276459158668,0.48013239668105806,0.5400550479111507,0.8140680834881031,0.5405155747524097,0.6305139613376831,0.7139717257039132,0.6765744872545023,0.75867102978296,0.7667739288303806,0.9252877111052731,1.5131161478463415,1.2556775469070596,1.3224537172064976,0.8867403048896049,0.9565934936869586,0.891985369660407,0.8391986819343492,0.9821358616454217,0.9427768511982915,0.8117015724778606,0.8013098409297411,0.8784010560013988,0.7693545402437821,0.7795503508742495,0.7615247956177276,0.7865970747178734,0.7959729590721387,0.794588415121949,0.7855029741619995,0.8423913980101174,0.8970076795492352,0.8619977605718866,0.88949224053975,1.027305697646323,1.070385807951437,1.0966714306908134,1.2392068854248994,1.1376495402019327,1.1923996468113454,1.0506843545794313,0.9724833722661554,1.0587265860951114,1.0634425839446862,1.4813658105272247,1.292997741771704,1.5658648168229117,0.9965262505944318,0.9650567261590277,0.9102448402209697,0.8964804108278466,1.0512903480512672,0.8796670200455792,0.9645255586627689,0.9530594384285137,1.0072610359381262,0.9780015853982672,1.0325618035118307,1.1621980744452125,1.065486950724523,1.1630130168725576,0.8932056794579936,0.8840916072810052,0.7456902333880242,0.7931946126312709,0.8286349493066256,0.9938268604196433,0.9472524395751477,0.8695988865827446,0.9020094550348073,0.9225044506980923,0.87486804815691,0.8959324678648243,0.9867897294240378,1.1048643975244756,0.943387217099097,0.9945527869405822,1.0950385574025012,1.1780097050308556,1.046570591586511,1.0869988092566567,1.041466552763192,1.007420058802355,0.905840791491551,0.920294534079254,1.0209926233124729,0.8965241385796461,0.8436498713839743,0.9331297151783073,0.9417297880834612,0.8733243792077555,0.8928028203566866,1.0930797382017343,0.9209278412804808,0.9711158811237075,1.0183610381732846,1.2177929232945852,1.1140863953649958,1.026167402841869,1.2142322433435309,1.1274754072419908,1.4343890636952448,0.9382880125623414,0.8753771192322404,0.8354137444641682,0.8828660622872323,0.9344604724282982,1.0794401438190773,0.981841469808624,0.9170871566413495,0.8735304824909261,0.7652316224157529,0.6930414580335552,0.7905483984050329,0.7390645003118127,0.7783605325164183,1.1865641645746834,0.7202653163686539,0.6392015852827198,0.5145467577017894,0.7795514044207722,0.3767619523438903,0.713192881721909,1.926890347196794,1.9515438049376561,3.004323329563811,5.075816054394006],[0.36069871777979584,0.318698808218425,0.42132973314474026,0.3918349842241096,0.5589482938093248,0.5010808029359874,0.47488023280539665,0.5070731415196563,0.5340554537957616,0.4771476705785535,0.5158080859769856,0.5974365646481921,0.485268235011066,0.52420419376472,0.5731568783169853,0.5036175171942754,0.5658284554609372,0.5668176843216988,0.6028215072528129,0.5930914793528996,0.6528190045191195,0.7038717467699859,0.8310890917828259,0.9002045105466101,0.8258391428360963,0.7329597800343166,0.6704956669012485,0.5570090565469593,0.5506361129591816,0.5535765069596712,0.569795962490372,0.5657136546500965,0.6361007633449308,0.5937342725367407,0.5498488799556707,0.5712918873780911,0.5597751738469458,0.5906739372288801,0.5401326704873268,0.5871612416740255,0.8817672090305838,0.7483042889280418,0.6832529994497036,0.7172618433253494,1.05517310659798,1.3348006364036564,1.4668534711604004,0.8474991860292468,0.7475035972304156,0.9987255687961965,0.7910120717317946,0.9864189318258745,0.738478467194861,0.7361326571985215,1.3246733615565705,0.6792706752140021,0.7315857420715021,0.7476509985301455,0.7614871676855515,1.3732546604073235,0.728104298503037,0.7265654051097736,0.6455262869747146,0.8156133538244057,0.696267289705631,0.646048214189035,0.7568852290840417,0.6212676507605123,0.7204442228661814,0.7114462183456614,0.8768185944864673,1.0912639457291111,0.7849326108986372,0.9517460782311016,0.6778839707373493,1.187640499201348,0.5997223772782375,0.6057480117268587,0.5685285219482361,0.6292065919807257,0.6019117621526949,0.6293808139617157,0.9950235173856083,0.5634647172830627,0.7136055796690719,0.5708431395079806,0.5868269821834521,0.6463294920020658,0.5612477672855662,0.6088305050901222,0.5961559835432841,0.807858141318629,0.6893880713756142,0.6051755720461323,0.5936510854398376,0.6825572286986128,0.7095424532814354,0.5927061320019207,0.579971068121964,0.7933680187061811,0.5915185143427908,0.6629682673656786,0.5146791978229259,0.5724633770127112,0.731410328758594,0.5632382768025513,0.7923083147291212,0.6044083224516238,0.6010043919578366,0.7413578650507472,0.5459884491719608,0.4907734353067581,0.4608479642556775,0.5115567830005256,0.4918305311803747,0.5373143764901784,0.5639096387958201,0.6045785615475043,0.6539030065505721,0.5721481344437113,0.5698865647901138,0.580062650474451,0.5666303107333122,0.48244666802772634,0.5052802743774311,0.5419030934901438,0.488678446543292,0.5728639063927412,0.5848741152131629,0.5765639277072638,0.6479789918503034,0.68484528756807,0.6240470250053051,0.5954842037750497,0.5968296252358161,0.5920445804496592,0.6641532178263532,0.690495640137004,0.5677870764979984,0.6135504729488752,0.833938824990094,0.9382394711628487,0.6076374692040779,0.5409642589301069,0.5632490512664214,0.5903603822254229,0.5267760425817483,0.555337561384819,0.4670256826682452,0.5164771761076798,0.5707559624684536,0.6500041762433242,0.9765448093747683,1.6137362384278007,1.100972609080568,0.6659417698166358,0.5618901269086781,0.5648114045311727,0.49279510914386143,0.5280424006430212,0.5178750334749811,0.5428165085989676,0.5534064921288269,0.5338085641139767,0.6807758382238925,0.7335894577682531,0.9325132444863331,1.4302659492214504,1.3652447736265696,1.161247434587844,0.8512920450355984,0.6712339016681442,0.6628944528897867,0.5250164725380377,0.5023973943316118,0.5202585578789349,0.5402070665625132,0.65310343889074,0.5119008081657163,0.5372226389629534,0.805101473142381,0.5148377343844224,0.584421811427354,0.6419301206168545,0.6183301796458678,0.7166604600548524,0.7781185836916601,0.9134337710311304,1.4798696512450669,1.2350361185720107,1.3174979444653936,0.8797606623588661,0.9832247007587571,0.8994592535789961,0.7978371753504816,0.9072893609091434,0.8690333635847981,0.7299770631324183,0.715431893855614,0.7949675761758273,0.6687286688198929,0.6771961825999234,0.663727633644356,0.6787304644287421,0.6955545078381101,0.6982232987123774,0.6929592093211654,0.7487435859076615,0.8076126224803251,0.7732265591231717,0.808411742590189,0.9503314255841288,0.9888924000085451,0.9909990768283123,1.1647781806717623,1.0838422818430864,1.1183476788019178,1.008095691447565,0.9007492033536653,0.9936075356554617,0.997325639672705,1.444116941062366,1.2390038240655723,1.541897839076371,0.9161112904167663,0.8737837595813716,0.8259407358611738,0.786655086206842,0.9425245256116382,0.7758177444280592,0.8480077343247253,0.855665491682674,0.9230979495068107,0.8693389889056753,0.9537859982731913,1.0779027365016296,0.9780017512047336,1.108285184618549,0.7980358771044774,0.799703798260876,0.6544248550140944,0.7106608424102171,0.7669201222097238,0.9363596581260921,0.8841920261625482,0.7879398320789067,0.8151463147811632,0.8504251427942134,0.8074478972282059,0.8129172204797249,0.9257824318131679,1.069185996569353,0.8779931135619776,0.9184163463811112,1.0485709866972086,1.1308561374143355,0.9731205848612129,1.0118782580394055,0.9602722797168981,0.9200456038185538,0.8160581704057925,0.82428372397885,0.9353885999111425,0.8101231473395905,0.7509570232640427,0.8436112238777715,0.8587510866032037,0.7850408960615789,0.8147704622931722,1.0362217059777867,0.8502771595008165,0.8885288917704577,0.9621363110880623,1.1756241123174316,1.0682339741186484,0.96080287942057,1.184823537716485,1.0746815251593864,1.3783263512316888,0.897184877860916,0.8189290096663961,0.7557377210677506,0.7967217073875825,0.8373683734126814,0.9886523331040351,0.8881730004131192,0.8205901959985392,0.7860411484133424,0.6750269328547528,0.6337832531421338,0.7014976883387589,0.6803538813489015,0.7341444448992028,1.2878784059619075,0.7019871079321044,0.5811785236735806,0.46514066507268986,0.7936088944145814,0.37394729140314314,0.6542315714435449,1.674013562182587,1.5136124522901173,2.2981106983408153,4.058826702396877],[0.3210799574200649,0.3127234681275504,0.4450912937747294,0.32543641341536095,0.5383089926501269,0.4163692544324796,0.36844558752601103,0.41305558199028747,0.3684658832998543,0.2954070346743257,0.3192918926969113,0.41848639066194665,0.3235579089679036,0.30743572590700696,0.37358416510724574,0.3510164462046641,0.3451647268753939,0.34573792805351206,0.40110620359526844,0.42179281232478644,0.4586418685084028,0.5566064894108196,0.6700628971599224,0.7562748513266305,0.7024762163543249,0.582231949586828,0.5362020821282996,0.39759933185716745,0.36755493287725344,0.3900854594298833,0.3768233533244694,0.4164134306538481,0.4560605305183666,0.4125730185702518,0.37624564750916284,0.38915559283487416,0.4065872099644555,0.43281371817576025,0.390826918473767,0.478979433036856,0.8593231577735657,0.6336753327956427,0.5375438244476355,0.5459663621890835,0.9948458813178386,1.3468845549860033,1.4467988471032864,0.6882738575172977,0.5736177891435889,0.8774036565299161,0.6408380388083735,0.809811230003835,0.6265069718955187,0.6214123455764465,1.3319864558113166,0.5942654415411046,0.5948557972677783,0.6456040729917967,0.6909603850886997,1.2126789047883253,0.5589018361645759,0.5729901607670872,0.49087580173757567,0.6352392010955493,0.5504994052521508,0.5089314100593686,0.5646493063363973,0.43391871398305526,0.5617730809471975,0.5069828025266498,0.7737656124319169,1.0297548135264012,0.6213599693307952,0.7738408312688344,0.5391601667704998,1.0685712412510466,0.413439650516589,0.40444269856383264,0.3835704109157747,0.4668721891186,0.45324489119599115,0.5211852701634899,0.9802618993389818,0.5049158882735325,0.6033154722813122,0.4777158834474002,0.448782785148805,0.5115760502893788,0.378638710445491,0.47871656019496905,0.38992503436143977,0.6316680800446014,0.5138942529581244,0.392301851936743,0.38885760846836226,0.4659259266615857,0.5143395288267172,0.4103812907856586,0.43227315607513056,0.6955857338173305,0.4766935854756842,0.5896788989553774,0.43262219179712647,0.5269526726462128,0.7276182663631743,0.556381088371014,0.8537452231324343,0.5949024441777235,0.5982236950739908,0.7252192810507848,0.528438009731608,0.4221263235761779,0.3682443540947049,0.39583858553122087,0.33074320531044316,0.4400085015240366,0.4689031367673804,0.47514811362447745,0.46972621181203766,0.4080037464134641,0.38434577134647907,0.38346957505367646,0.4203943292363629,0.3264044943520778,0.3391756815802433,0.4961563042445374,0.4396566837335754,0.5306008707836611,0.5844953310327672,0.5713400353171578,0.6423976973975773,0.7094384767705537,0.6147164295148222,0.5972415499926758,0.5706424274981727,0.5485548616095784,0.6639360083151444,0.6715047870676834,0.5361089495846033,0.5695620621818429,0.7562916057924637,0.8313997615201684,0.5059021794113385,0.429531517497938,0.477062764898995,0.4417824965582227,0.3825176474217648,0.43102650065427967,0.36062907087635315,0.4006468066089675,0.49678478561756484,0.5415039120633366,0.919198750341777,1.4871923215918612,0.9954104145355123,0.5706624623878496,0.4452628185052693,0.4949267503408237,0.3946566541179825,0.46676588475877573,0.40895217742077633,0.4137828005904158,0.4172834475881088,0.41265850707637725,0.6362127821209647,0.7196317091253851,0.8479094961386341,1.3039047259071301,1.2786657025116397,1.1125249861371378,0.8032333344866914,0.5916400293856376,0.5933401971641251,0.45836777464622336,0.42881646853033917,0.4624503560968764,0.4317961892161984,0.6130711241006922,0.4347247642109413,0.49340596594606956,0.7671998809627529,0.48504201847863715,0.5518170235926796,0.6192136058919689,0.580690911847851,0.6562664243965327,0.688943359318914,0.8592763715608259,1.4664129290384713,1.143696714531217,1.1961607396571292,0.7933065412274085,0.8560735911439176,0.8010793669720533,0.7383223713354777,0.8653078977066223,0.8579160932868376,0.6979596326070474,0.6921929176289662,0.7870531409639249,0.6632125633448096,0.6839413432317981,0.671366640767088,0.6718769549646841,0.6870948674455338,0.6992476132703426,0.6822033368881921,0.723315439075228,0.7920965308546799,0.7568749744034966,0.772046407103808,0.9095336838134488,0.9693233790346559,0.9550055480602861,1.1032198660718069,1.0158927673081755,1.0362851867182605,0.9410691055953431,0.8459505607820269,0.9306990677140796,0.9261948798996519,1.4288918773962211,1.1585296276795336,1.5296886025641983,0.8847409341485678,0.8495605194895295,0.821573427505898,0.7723353410771617,0.9089464931813397,0.7565700966085438,0.8392523884260634,0.8146953757772168,0.8880832562567946,0.8417365096742371,0.9251547905434582,1.0077208675822615,0.9181134023767683,1.068862075169664,0.7755519360841182,0.7894796985476736,0.6521587484954047,0.7155856328331216,0.7656578364534982,0.9424458145646446,0.8945865260081749,0.7958608198741401,0.815612942463086,0.8586563560980844,0.8155434057403721,0.8121760705893867,0.9229047723686032,1.0654550690869964,0.8709284113055387,0.9019607415293093,1.0277366749971133,1.1168463329480423,0.9416757862611966,0.969756840077799,0.9178523380026338,0.8866643583034352,0.7975684799176256,0.7954327306668698,0.8907033924092443,0.7801857820355185,0.7270050653104438,0.8004229727680771,0.8156815688061976,0.7530109938113807,0.7662394303236014,0.9739444406371435,0.8079627302378012,0.8401931454649136,0.8908629394514834,1.0952231677531263,1.0131254898898565,0.9275205330181568,1.0795986239458435,1.0170267424682822,1.331817934986643,0.873976760142926,0.780728560360545,0.7151525828431626,0.8241706570940615,0.8602056892367734,0.9845413649171966,0.8756763724037799,0.8034672121129262,0.7788849357566956,0.6622054657318156,0.6309678878683054,0.7216376361566628,0.6922671622718353,0.7372156884426183,1.2348805601160848,0.6917421558598833,0.5862418920426503,0.45390160844039157,0.7461271554854385,0.3428590097298104,0.6496235428276311,1.7499402815376788,1.6091607062513322,2.507191952208457,4.273805173203669],[0.4791288120029098,0.446408442403444,0.5044918602672749,0.520448659762583,0.6019207557467247,0.5137738177758685,0.43167923067536773,0.45785408878927925,0.3777999987757083,0.30989925427073667,0.3284495109287484,0.4206896975618915,0.3335794101341624,0.3131005866966887,0.37426036071487123,0.35458451619359166,0.36409093624329264,0.3725682897114655,0.4132154115520021,0.4308351860746756,0.4518767657646631,0.5302965187170021,0.6502716446373521,0.7112219151036675,0.6559757786798628,0.5526924518022955,0.495174375012091,0.40080096460435344,0.38541165873888616,0.404288060727549,0.3858845602993536,0.42691654071431845,0.4678368876846206,0.42205303484605966,0.382935102146434,0.4047612991124586,0.4179091931073258,0.45427717372056875,0.4115563442697497,0.4734358558204835,0.7993230511864563,0.5933716731902945,0.5093882766307829,0.5602907519611597,0.9351579204450123,1.2871484541441698,1.3476389027458304,0.66741423305049,0.5935686933918237,0.8489877786807134,0.6765056905085846,0.8776739301334524,0.6578219688624815,0.6532488320860396,1.3477836625729427,0.6278773030958097,0.5990610585779083,0.6514828722925626,0.7059097109834457,1.2006698661156505,0.5554818419112801,0.5647604457036889,0.5058041210129155,0.6346744736755427,0.5258021748795145,0.5057114969504669,0.592171555529248,0.45418264164377403,0.5711826935086662,0.5241751405239756,0.7953011968968626,1.0648709780513148,0.6421912780244085,0.7727525025611807,0.5515365807829516,1.0611445671317126,0.4244621262099854,0.41386694573112376,0.39936513088511066,0.4782086789690962,0.4591441892434101,0.5246185584260212,1.0089108883667959,0.5417309032787924,0.5984553819650431,0.4809555300063706,0.44552729707185473,0.5127982784772332,0.38956304929807917,0.4920406172621055,0.40052605797851,0.6026260612675902,0.5069219857918613,0.4025781148092867,0.39952410598838584,0.46479602234260803,0.5209616840866728,0.42001983354247324,0.43799186087821307,0.6930521237713174,0.4899661531988705,0.6201305879508434,0.4581638278981214,0.5489261406030888,0.7384545446649861,0.5660191785329751,0.8327973297147448,0.6540514372654398,0.6628517732068424,0.7991586594921982,0.5806978304929556,0.4709828255889169,0.419294339977553,0.44488160048527847,0.3558519999473604,0.41155061943647175,0.46360771677920226,0.46354772099368174,0.4654448326124618,0.4279184366493181,0.39870291839767297,0.39558002110997825,0.41681375914642405,0.343302447636272,0.3852704193476653,0.5070416816902789,0.48603227795880294,0.589550512996963,0.5807513813424312,0.5682709574060821,0.6287622762056478,0.6509753559606054,0.6290984923947577,0.6024797741532546,0.6292351842157995,0.6131116537687942,0.7328293743453944,0.77725798459326,0.5983365394755977,0.525204278707327,0.7188051314307102,0.7671929216901008,0.4901677073647309,0.42014498862836136,0.458812205662986,0.48387011756835524,0.4006060171234737,0.47176602368887155,0.4035377513220587,0.4370773052583258,0.5380861422817591,0.5699752274468263,0.9382173039265495,1.5110084402457027,1.0166265932898018,0.5844820909591326,0.4608448821133966,0.5271914688360044,0.42075934492565414,0.4976300311240032,0.4543651045246765,0.45157929996651436,0.4777162497505718,0.45524956423003915,0.6860476550805725,0.6831652553110811,0.8661014631547311,1.2872053559675916,1.2709865140025662,1.1407719328596369,0.8345811840902521,0.6502996996714744,0.6348758869627174,0.48486382902857467,0.4572657500177097,0.49075293699472217,0.4743258372630334,0.6491328945007987,0.4735621213794536,0.5295595650770758,0.742152550595644,0.508778802989169,0.575541138266762,0.6223364040373476,0.5984770805737825,0.630258378825047,0.6444435661809025,0.8277375610294226,1.3949657898680907,1.1538898207294968,1.2258979669593322,0.8301534099885013,0.9157517038043631,0.858886999656831,0.7508701324904413,0.8152826605978721,0.8503222624071168,0.7022455203054866,0.6975637838179779,0.7329746711571149,0.6822039618918896,0.6704432671369066,0.6645628843556589,0.6929635449108308,0.712288465810518,0.7027444253503047,0.6961615899779569,0.7676843110768098,0.7971288154604338,0.7689101334022297,0.8204247904585781,0.8960415824087955,0.9201390888238636,0.9196920289668523,1.0739556703306372,1.0447965689901353,0.9774348891192493,0.9814371684211428,0.8813034594000624,0.9517992199958651,0.9354932349017516,1.520913619329013,1.140040357589234,1.5626192750151953,0.9317624000708816,0.874561235529935,0.8595440204158593,0.8079895459198168,0.9158572914006736,0.7949837472522345,0.8460975258357507,0.8235168548569419,0.91070237581588,0.8286046212324842,0.9235338465897038,1.0006253166272194,0.9072243825668791,1.0843299289173542,0.7894162154110355,0.7852183178469945,0.7065626738831484,0.7750729218715375,0.8365201626176503,0.9521664345489326,0.9226044371950278,0.8396815010341104,0.7996716210831324,0.8332855964273448,0.8051393150309522,0.8083652482826076,0.9104235742072836,1.0497665317081775,0.859504811419863,0.8809383706285677,0.9959738449432775,1.0905229017817144,0.8937268814261689,0.9146448825889796,0.8839657210202905,0.8528804054600708,0.8037469617832242,0.7954474644354728,0.8680040014907225,0.8123881149932042,0.7677507170931591,0.838858631862158,0.8594443474320281,0.8026362087491081,0.8120069965528665,0.9899740563178229,0.8728471634243551,0.8452607834390553,0.914867872855155,1.0848219316848304,1.0456016361151887,0.9715894296831986,1.0970041737261815,1.0814467314524665,1.2512500819178312,0.9613972838733531,0.865082198642764,0.7756492255693708,0.9016517945801793,0.8612273595999318,0.971018400937676,0.8423767035271158,0.7492372214079036,0.7869832522799982,0.6739468016548571,0.6731638425716059,0.6729692894106555,0.6779557116233018,0.7568753720430297,1.3260751148197794,0.7119763837864489,0.5827559068319573,0.46781887312935416,0.8253066415996014,0.39154226456409896,0.6830748906300306,1.3014811136039963,1.1517657263963972,1.9032673397012598,2.895353331691838],[0.4375257775939413,0.4159677049100168,0.522212318486662,0.5997280458308328,0.7653857441077543,0.677823196874998,0.7683801406435199,0.7366266930564086,0.7232589693631648,0.8099018968367571,0.7835998779130587,0.7910619065404384,0.8334983144535348,0.8329898959550226,0.8277578930624068,0.8505850508190683,0.8956373454185793,0.9298788924700013,0.955263448019095,1.0171171634928613,1.0033737950342725,1.069052944007439,1.0790298020878542,1.1324475827775824,1.1603608867040374,1.0577927856877547,1.074932746294188,0.9833539798053526,0.9212706976114249,0.9171066639691984,0.8515898136093575,0.9079801360376623,0.9059138105067549,0.9020075813576308,0.9048698753242108,0.9497313875469594,0.9130451292870844,0.93844827978285,0.9154603387561011,0.9580462146822909,1.3024041097600743,1.129140776222727,1.0362983947987352,0.9852716740091124,1.3868983288779961,1.6897602307489317,1.730526976080761,1.0744369733606978,0.9791481443237918,1.175436709943134,0.962579727939676,1.0260221146782542,0.9722527736211204,0.9902267948597295,1.5303124163873563,1.0178709780626156,1.0354810632787022,1.048172668179849,1.0934570446531267,1.450036370770628,1.0119351823307763,1.0370448117570912,1.000665827385063,1.1021681216919255,1.1010832585613384,1.0371700327305349,1.0453441544783182,0.981128842551147,1.0334430067235088,0.950356876178139,1.1607919802788849,1.2924965598260756,0.996522187181057,1.0687782295902948,1.0238362570457908,1.2962472789133856,0.9469314145752605,0.917000519361167,0.9166558768545,0.9665598293461483,0.9449069346724486,0.9655097846174181,1.227819027210434,0.9157204913804169,0.9559200098619994,0.9316482254329891,0.9755118355268474,0.9783343604982889,0.9314802939747283,0.9589085065720381,0.8956564420511074,0.9298789118558123,0.8742346354713789,0.8228339889544074,0.8227141005032581,0.7915311239916115,0.8340657746617937,0.8454670232570957,0.8283290704162101,0.8772301533436814,0.8210612144203677,0.8457778256024198,0.8257148961988121,0.8128671160419992,1.006704305364032,0.8842725695969826,1.0474300058422132,0.8107182320597546,0.8066039564139074,0.8973063932677388,0.8534526618203662,0.8457529436872886,0.8086150121641528,0.8746953871500747,0.9302194460793678,1.0543249037381688,1.062293428553175,1.0299483048781373,1.0110857469183268,1.0022503142737496,0.9792372619365309,0.9687166705452157,1.007270271596837,0.9293342761426037,0.8698059119856216,0.998840194984751,0.8364221285000116,0.8423476241246816,0.8919964062857255,0.894180484157128,0.877122201443592,0.9291964620592206,0.8651846310807193,0.8841606205278428,0.8375787291931258,0.8468581841446766,0.8938872423942894,0.8736042681287949,0.9409657716301664,1.0435855422041502,1.1085221738980884,1.1779539770633116,1.0226642867428006,0.9828309646832583,1.0290217605772352,0.8889575554783734,0.90652706372654,0.8668328891145033,0.8340824277815102,0.7949362993997382,0.7969622696898707,0.7523631970349659,0.9628889494463462,1.4419418832258692,1.0754938011304367,0.7723252031234926,0.787236001446798,0.802010710306386,0.8466545279917471,0.8401973491044624,0.8541737060811798,0.8805936039567922,0.8569501489015863,0.8682188162136115,0.9359369411577253,1.0563741374568298,1.0179830369213612,1.3637579218630398,1.3330957827148062,1.2597439812314566,0.9773862499157426,0.8585622407309464,0.8798867873760321,0.89753400237969,0.879262127792357,0.8763473870991668,0.853214212878705,0.9499970532102614,0.8757476699544088,0.8864118481530607,1.1844389188339723,0.8607256483052215,0.8740961443257689,0.9121573482434686,0.906036134817734,1.0146163875836494,1.0755399284084164,1.1594582519425813,1.7003128310006974,1.2017065323967209,1.1819532543206315,0.9412655919718304,0.9472675860870721,0.9240816046594006,0.8828535163101419,0.9841256090629743,1.0029336877492963,0.7892314380972613,0.759531856395578,0.9361179755226358,0.7236686043900967,0.7806794899325795,0.8090716842218544,0.7107812805948862,0.7102126023874952,0.7528917263565061,0.7126371621077778,0.7215115518395377,0.7847089118520488,0.785307014704891,0.8039791016323834,0.908601865885967,0.9573953870812633,0.9954814032729611,1.1324421875393862,1.085524839172176,0.9980354460504303,0.9345807864004618,0.8221120786809724,0.9150429558152543,0.8655133883020022,1.459131349192752,1.0648988386327385,1.4972807694201458,0.8719623267344694,0.8175550413800778,0.81884272123264,0.77957863329854,0.8781122845294456,0.7647167799045974,0.8524288062923708,0.8056591530002642,0.8692470479076301,0.8448606709368607,0.962495127297945,0.9755055308062762,0.8989272040620823,1.1026841938413745,0.8090054196263018,0.8694119232973267,0.7011508736497859,0.7547862754400155,0.8336342131783826,0.9796919907378188,0.961259668324282,0.8797902033375695,0.8365614977348843,0.8664969119041507,0.8883412674711456,0.8338457480319034,0.8948584642519085,1.0315142999070426,0.8594805280694648,0.8574124335186576,0.953817712725596,1.0767496068051488,0.8974701760862993,0.9096056337677486,0.8784182384712723,0.8388838070771772,0.7875034098712904,0.7795904670091115,0.8438484001739066,0.7753989426610325,0.7300776694943325,0.7788660747702291,0.7999995261238135,0.7440837476518813,0.7455177487904554,0.927056471887679,0.7826579468032371,0.7801115177986767,0.8276146671688694,1.0071209407467947,0.9509850059865836,0.8638496186664859,1.0063351033244978,1.0300084909366733,1.145020102862444,0.8921749655170688,0.782830413216806,0.7281816871574692,0.8055582045584649,0.78487042296358,0.8928831737970573,0.8306473681060391,0.7818282416923618,0.8516365851329716,0.8020579232558696,0.831710715583911,0.8955317866977675,0.8869508169177476,0.8495867095829828,1.246770727719682,0.913147103885356,0.6598982351298268,0.5406461331568159,0.894776223323625,0.4742061400264639,0.827029747871819,1.4322347554241865,1.2734277477140068,2.245916142917864,3.6117065114495155],[0.3441521874461692,0.3454420496322488,0.3878726652413095,0.3003603344434756,0.44636894581792713,0.393373449571474,0.35511507338898185,0.4045686508819781,0.34610174903997726,0.33087707689890244,0.360809012307091,0.43209836275992497,0.3565038392784752,0.3674200159920826,0.40470090023568633,0.396747606251938,0.3862448238862967,0.4006741795951227,0.4216469165574606,0.460680583072956,0.4617646760362183,0.5573581313761261,0.6242555679860309,0.6824700008055427,0.6750364169013378,0.5589172594264288,0.5167904131999714,0.4256903860376101,0.4246526347804916,0.41330900673831794,0.4078953184305687,0.43518099040809793,0.4973713189716116,0.44478755304465856,0.4002938006528434,0.4195511215877915,0.42297380234958315,0.41770786860172093,0.37905202683945993,0.47116463903182476,0.894291448629485,0.6285899233401179,0.5085159052556124,0.5234033725052577,0.9352191782888362,1.3732494704587297,1.3582765229106941,0.6086259934204236,0.5817641547593951,0.8313313377396422,0.6001460601817128,0.7249112041848284,0.5847242844622323,0.5597607534365265,1.361012878676441,0.6159655858046027,0.5495264209304342,0.6387313468787952,0.7331621846011745,1.0875347961544897,0.5193094528718831,0.5769117787983883,0.5286501857160663,0.6220332996463068,0.5699937075073236,0.5404537046338797,0.5554283202131297,0.4811170250392989,0.5929599718234293,0.5616043240930925,0.8653231769210252,1.1553153981687216,0.7075025648849002,0.7758760847425694,0.610394584321795,1.0353102533148142,0.45609484865308736,0.4304246460584054,0.40166864664776375,0.49429292908179334,0.4740152640975764,0.5065766221688646,0.9612904549124829,0.5140157692999717,0.5710696876759013,0.48339103438688824,0.4495968606134563,0.5341925648518385,0.40613757341793094,0.5274164636172654,0.4204972436502642,0.6320573888290751,0.5107560106799619,0.404712119962843,0.4059960790504877,0.4474770611177943,0.4973410366326055,0.42799109570219157,0.4313561439537946,0.651162452765023,0.46099948539104435,0.5906992052763969,0.43043187897536456,0.5179642057010433,0.6852585157559197,0.5313307444058895,0.7975315386557343,0.5624662211945994,0.569352953681254,0.726292258952378,0.4974003343893878,0.4021471055390532,0.3535258046543709,0.3998202896636454,0.3675780868763586,0.4625207945819696,0.537076651659746,0.47960472507698304,0.4823539515933023,0.47892943225039225,0.43707907181815653,0.43122491492602616,0.45148721418150034,0.3879220680596183,0.3666234729749459,0.4907428316102496,0.4147773753022791,0.46636553361031385,0.5095057589978667,0.496308762183327,0.518717745934804,0.5927372109362293,0.5025429611889908,0.545622680145761,0.5057003190299127,0.4919609014774508,0.664988228799073,0.7133064837432308,0.5775537335267493,0.5248152570955947,0.6806461127844105,0.7178825758486683,0.4745822104467587,0.4384638717813578,0.5293399450703962,0.42963859301328805,0.3768955148535945,0.41111125033623586,0.3655076680601982,0.3936874155555523,0.4765788662881947,0.49186140423188474,0.8662441711258383,1.3655925257699038,0.9098824799544629,0.5315427291736357,0.4238283334605203,0.472215025788811,0.4060045191059875,0.46165880489337596,0.393851313862337,0.40473908883431475,0.35639408455855537,0.36912739898332425,0.6172833913768554,0.6470904768326285,0.7606216488135007,1.1419087643472619,1.175637994693845,1.08584251505618,0.776702567981212,0.5538603294299467,0.5567036699245992,0.42113232083259183,0.41207928826645074,0.45407749776346856,0.4458229931379052,0.6488480056433671,0.42932605283709485,0.49425579242712975,0.700723935588554,0.444110422522279,0.4932504011078094,0.5411805498883245,0.5128647532462111,0.5933573657329091,0.657867939556619,0.8165754154748949,1.3961304218483355,1.0291876120086991,1.0319210148429485,0.699077676522003,0.7333373572691619,0.6911401502001369,0.5886671548925658,0.6617390176446665,0.7295429505780384,0.5447214320014986,0.5441511519422366,0.6434131025812679,0.5543208938369387,0.5860201427505956,0.5730329700001923,0.5507454990651175,0.5908046881097606,0.6077060163446509,0.553929577631908,0.6255887233866247,0.7044722419048854,0.6731135675036889,0.684188090133325,0.7629857399259471,0.8367933158892009,0.8260504354807889,0.8868679007531396,0.8920671866611941,0.7971735379050898,0.7967453967263247,0.7120657100139608,0.7784459833537509,0.75826088186323,1.5398979263515178,0.9792318117094986,1.493902020717582,0.8057617020479115,0.7597654617939206,0.7588043594024251,0.6996595760410463,0.7654342640471029,0.6495450534746039,0.7381586198118109,0.6787194969768204,0.7512941292284709,0.6710766204623188,0.8103485033143109,0.7958395616676044,0.7169143327450291,0.902634608316873,0.622026001249805,0.6702857909631957,0.5805902816753783,0.6901040724337191,0.7681124943811143,0.914567461793668,0.8739542088620635,0.7775321029825589,0.7470352419049126,0.8036678453172397,0.7687612392368652,0.7492048294341718,0.8693518011651223,1.0170010591612577,0.8043444985592887,0.8033748652663895,0.9240697556848024,1.020607993655488,0.7921865651112785,0.8004420779211725,0.7703833683363748,0.7501765670953859,0.716315273444446,0.6895756002407512,0.7351328849559156,0.6846026203899351,0.643570390540609,0.6765288560580467,0.6931585297123272,0.6397833240777715,0.6405068795136126,0.7890385065641558,0.6912620170941743,0.6623594335362455,0.7299356439194159,0.9207115487180578,0.8884510511736108,0.8015354166222319,0.8947428128367818,0.9605407786140214,1.0476507458347848,0.8030446898427933,0.7144849294957331,0.6196913197861964,0.8852724358177695,0.7549444717569043,0.8126137728254114,0.6828899590788616,0.6127014145118755,0.6561755047156577,0.5467875759595742,0.5525987229780409,0.6048498275004719,0.6151685927873488,0.6963988215072369,1.2737218650292916,0.6474555644645166,0.5153444271450618,0.39924635273500253,0.751861815004363,0.29127771648421114,0.7029911016052468,1.1281772344541776,0.9994850999034844,1.8025999466428266,2.448661777611699],[0.32793689183908786,0.17877692549405683,0.2721610193395901,0.23500952721933158,0.28350536891822253,0.3693914808487134,0.3452316060890714,0.4222828610435456,0.35753929703479254,0.32030767140247185,0.35437940581692506,0.4634606653907351,0.36555778461167043,0.345990827049473,0.41992365307129803,0.4099479873544321,0.36803937978623685,0.3886453992667905,0.39850431538505926,0.42088544663389593,0.41039941115756917,0.46840067908081273,0.5418341609565931,0.5846103268784895,0.5647619762884812,0.4616112815091612,0.4065822918223895,0.36392151735585176,0.4314100556325486,0.4254860082513379,0.4199588008030949,0.45068015000758693,0.5063955129930733,0.4754370223732182,0.43159562966670145,0.4208933598928243,0.45093154303616734,0.4018197411153589,0.3550829497215976,0.4253894109357759,0.8318333779888383,0.5411934763901758,0.43653619242510383,0.5445981966731677,0.8658880113514461,1.324402148201827,1.230500820387179,0.5639604136256594,0.5894723031122059,0.7963789274524598,0.5633906900532798,0.6919379294703849,0.5613169521047696,0.5105879950800752,1.3616918578684065,0.6271660874676435,0.5346658280618173,0.6237013812693107,0.7657416008811955,1.0408915573638367,0.48320454113759354,0.5600754085903754,0.5057157259861527,0.5560232616501989,0.4979077169721483,0.4924883098660731,0.5634199461459114,0.48009697009845465,0.5727654324878544,0.5381529865673157,0.8696746228757409,1.1663498336852192,0.6959894398211662,0.7417843053707307,0.5664266893441602,0.9734071318555757,0.4398193303103392,0.43313728444018895,0.42084619476529633,0.5309412967258459,0.49654646258763135,0.5086820025617504,0.9873470833555329,0.5059058739542143,0.5425653465060911,0.47904287181492805,0.4259441453879919,0.5328846902590447,0.41374240147039437,0.561992563024024,0.4379130110295232,0.6049163771788713,0.5047512790046351,0.4246803191257652,0.42182657834637405,0.4697582837417638,0.5167797629115739,0.44849391019302676,0.45843797177828305,0.6787320449095235,0.5005137457140159,0.6225955627939463,0.4485526383394918,0.5252072577582076,0.6640069198157346,0.4970619078366604,0.8112537356171039,0.4897572682761899,0.5021177226175632,0.7191849117429153,0.44311542348800753,0.35475534007457116,0.3340552001939051,0.362847013105895,0.33259487114609343,0.3686681114626514,0.4711295514686325,0.4025485996600848,0.41123599092864654,0.4454237804881726,0.3788464996643852,0.37860909580264807,0.3595508358980185,0.3266143971914264,0.3173425031613642,0.40892058532198877,0.3624836548535989,0.3956231481070004,0.41197437498761863,0.4166893835529842,0.4074218461216564,0.5031888279432157,0.3964165136916609,0.514678863056047,0.4430838109192147,0.4528285863746711,0.6663844028072092,0.7688143936735147,0.6501313712661995,0.4260204862967735,0.6171763703038674,0.5965961956922877,0.3794554870946168,0.38012709087881624,0.4796535629772186,0.42653355409315125,0.348215416969539,0.42173462585413324,0.3454220234430361,0.3833517278649641,0.48613956959091675,0.5107943857545332,0.9154370080177199,1.3481594586804757,0.883969543445601,0.5728408890213919,0.453248043585828,0.5006273008588331,0.40942992328902955,0.45232967378699546,0.3494754338440251,0.39697492796990114,0.33254242063717837,0.3318812063169033,0.626911689208433,0.5424176101040294,0.7026089151142868,1.0194350345071055,1.090480675381617,1.0354825861269479,0.7533630707186432,0.5142835749431295,0.5214751967343172,0.37570270495417224,0.3809593482196552,0.45170463248946796,0.4395935669273171,0.6776450412603209,0.4188120281581326,0.48751116780341264,0.6135760847826943,0.3953590748116972,0.4209955950600057,0.4520778360168574,0.4284812066689852,0.5131251134682074,0.5740863448740258,0.7429631375481276,1.2875254592313146,0.9592100469209032,0.9266582896309705,0.6157988621758432,0.6387750171666371,0.6031765143940665,0.468544507374974,0.5172185570863701,0.6291058554291898,0.4104758499736772,0.3952250792480223,0.5099248767974565,0.41591885189084976,0.48574987190762187,0.44041008727057535,0.3942500380547005,0.46018986441690973,0.4882420192727514,0.40685931932615277,0.47095798880712053,0.5994657494581065,0.5231980739353397,0.5321813046545367,0.6050030752807186,0.6903279456628042,0.701076324135224,0.6835254845036174,0.7297737945470038,0.6933047215410469,0.6763923401253114,0.5746859802608725,0.642780938491887,0.6456932188310162,1.6727229756935047,0.8968087298691491,1.4777251622339878,0.7073295236794773,0.6806773342320704,0.6732919117152955,0.610937025633239,0.6297922563885778,0.5078237292508219,0.6149502057326751,0.5431513503339174,0.6194933428485953,0.5102020200216064,0.7222621319119366,0.6343524182301448,0.5777591949276148,0.7687966553322805,0.45975076186293407,0.5828231834772023,0.4927668275189805,0.6133203985705812,0.7101068414555723,0.8906077942647224,0.8586179763799112,0.7296099979923513,0.6979452173376922,0.7906760258286244,0.7305969663488345,0.6909794164752379,0.8331654084612737,0.9829727644070488,0.7264472164026863,0.7199119915589414,0.85038185142575,0.904985084025629,0.6842574484792321,0.6973969470926967,0.6504912697816062,0.6457264199868709,0.623088385968826,0.5987452983183089,0.61308565164525,0.5542410228906571,0.5340979987206503,0.5371739772119892,0.5524897916345165,0.4925159454128432,0.5015573065152957,0.6445580868484266,0.5710695503694443,0.5236979920741626,0.5847324070961755,0.8036104796967838,0.7679354338989512,0.6827653318787966,0.785672262285138,0.8902378276035299,0.9542551890321097,0.7039698630042835,0.6078671829597091,0.5299919592310777,0.8923195363356519,0.6910422450441082,0.7041227685814306,0.6061493577369823,0.49934600519461125,0.5308474415384784,0.40786439874048974,0.4019609288638831,0.4424881705024909,0.5207883831870597,0.6402742967273738,1.322659993425237,0.5656431948472963,0.46209931023548045,0.3961373452704349,0.7236748007465921,0.28938637184572014,0.6928111522518289,0.8263342151848942,1.144611056741176,1.8262307858433056,1.6058081148793901],[0.5535802712021128,0.28101839918239496,0.37812832066987173,0.25126518567515993,0.3061980137059446,0.36621216991256617,0.3465246896303081,0.44688592015401063,0.3728732196513329,0.3244964714067435,0.36684391969076074,0.47565114500862865,0.38729675410300946,0.3570530497907933,0.4594233454821057,0.43490100916631574,0.3875621496939539,0.40558495440037334,0.40848968893812937,0.42823094241495596,0.4163775500042983,0.46111192991782934,0.5368241010737511,0.5841254964159567,0.5348400864120025,0.4522106815846175,0.39953110715703566,0.3642545965980392,0.43750401729284494,0.46225165046849065,0.4532643075334767,0.4807627834888486,0.5518817244572255,0.5157514993177112,0.46485700992357576,0.4606546894608757,0.4795472424257412,0.4285608829801669,0.3739747177943721,0.42730836216982276,0.8367946239852379,0.5636578391249023,0.4597896058112997,0.5608853651484746,0.8815160632702103,1.3102315812281549,1.2187372639533016,0.5821271732056544,0.613381391275934,0.8091278110102947,0.5829251072925151,0.7008582834668367,0.5469064089486859,0.4906274307839862,1.3481577727733887,0.6126934606351684,0.5233777274899093,0.618183695233141,0.7607477922711253,1.029904724911097,0.47194971913071837,0.5648679445035975,0.5335736800999633,0.6085422869784971,0.5104522368336757,0.5039495071559567,0.5963995885416785,0.5245050094033255,0.6058864305791631,0.5635274409064609,0.8720321165809808,1.2033145607636635,0.732725929329529,0.7862935472087481,0.582505544536612,1.0146747646009049,0.4823433417781619,0.48356419426775893,0.46614303732092666,0.5657063518349729,0.5339049339469988,0.5464058887164823,1.036725449919238,0.5202899626819957,0.5617683567261631,0.5056296271023675,0.4493553491474374,0.5804901886574645,0.4479789533102414,0.5752484834972602,0.48382501282851326,0.622194571160634,0.5288592677950408,0.47501655220249545,0.46751236077608427,0.5062523503177088,0.5553941532867208,0.5027815855046713,0.5192767299218255,0.7637882662252642,0.5478380803375995,0.6630059719745095,0.48328769542221894,0.5394759521344736,0.6742484619541663,0.5134182333143693,0.8343551090304847,0.4829547482829451,0.4951120354009515,0.730451629704509,0.43867064521051635,0.36226445122727163,0.35040336002824224,0.35577515741470106,0.35183832428018913,0.3580653529312018,0.43662421494392734,0.3740677706323821,0.4077472308310419,0.4545623427637193,0.3633647925422049,0.3552583547583084,0.32943839005203773,0.3095882862194128,0.31257384045266484,0.38343338519118225,0.3817052707572121,0.39095626197716543,0.4055288774715014,0.423727227507207,0.39523755414301426,0.51500257482033,0.38558635206115904,0.5403697022451583,0.42997114701773204,0.4433805374100398,0.6605540268701637,0.7416005794079711,0.6500202860568547,0.41034357667537275,0.6284016464147202,0.5659826541222913,0.3667342733358692,0.3638884282736989,0.4531659164193535,0.4314842569344139,0.3596139625093606,0.4248163482822472,0.3557264930132835,0.41099254552235714,0.5171561327400848,0.5560297906838085,0.9589174744840279,1.4436781412410946,0.9539428055759599,0.6233183774564495,0.501273058502722,0.5424568958971909,0.43853259316517723,0.4735991769281509,0.35626298870677425,0.39670073002576656,0.3487693161055578,0.3456232293648806,0.6025425431493497,0.5200341562774196,0.6779715454614208,1.0147155137851798,1.076422931548031,1.0325595541678398,0.7406828960939761,0.505427135153879,0.5071880682575076,0.36968314132104463,0.3831087253925668,0.4740494545815675,0.45956814723171774,0.7168649639844199,0.4285210314913447,0.494642380016356,0.6113637731511641,0.40442014398103987,0.40594450017935824,0.4299219387814275,0.4211134144773522,0.5091392640067659,0.564206966439884,0.7497833105263331,1.3031801299515755,0.9429401834893725,0.9115870172107412,0.6126536367202868,0.6272329606274817,0.5891234265672446,0.4489561619284448,0.4974346671405763,0.6234260142202664,0.4121001009120882,0.40206872391012227,0.5168546317673389,0.44436302335731676,0.5135864932801089,0.4558894513721051,0.42175208792797264,0.49183610192282656,0.5034287111220322,0.43844243112826886,0.5008668189950323,0.6315742920544842,0.5275820635464932,0.5716242701043572,0.6562627357228813,0.7114350446740296,0.7277594623384372,0.7746266051820158,0.7808124064237862,0.7956964406734798,0.7512217070112894,0.6401707680313662,0.7222058537969546,0.7229964739760599,1.7601207551375577,0.9493516409839652,1.5272350894550133,0.7458882654397876,0.7305412856814227,0.7143109920831431,0.6625813204824049,0.6826066450259318,0.5464046126805323,0.640807544501771,0.5595679500025835,0.6217630762596557,0.522227667536997,0.7533924336530787,0.6605257309711526,0.6021542912906636,0.7790682419673033,0.4807867083760306,0.6055214185228455,0.5201536473888205,0.6393442465642176,0.7270352668426658,0.9379898271507572,0.8790152242715974,0.7422627540880417,0.739533791537766,0.8515634159927934,0.7726022641305064,0.7392316573746034,0.902298364915564,1.0416083538702872,0.7668493700323037,0.7911878573899649,0.9395179506846777,0.9567935453073111,0.7474417614562391,0.7739610490243841,0.7136316873354106,0.7077530464833786,0.674003000364064,0.6586636613185081,0.6704701768206736,0.5915149757941988,0.5758343819422683,0.5882771280475055,0.5997258504051229,0.5224110372784108,0.534984981402899,0.6906714540346588,0.6017552619576939,0.5401725657252262,0.6181777778564029,0.8281050714846137,0.7999221011696018,0.7298969821629696,0.8411777419324374,0.9064317186086562,1.0694336528975066,0.7782069970177024,0.6462442894891279,0.5840965795443318,0.9215497858366809,0.7439055647945902,0.7659024378800421,0.6401994418074984,0.5282245422811573,0.5373519437152795,0.4029913582533235,0.3963068901281632,0.45361054459257727,0.5321968959362914,0.6653643029449015,1.450019667046728,0.5299394407829435,0.5095323763810806,0.4891000541898076,0.6709989398861916,0.40457197021390023,0.6588515254425201,0.949492177981105,1.3288748910743786,2.167157652713785,1.8049775119390088],[0.529514632497689,0.3592848575521588,0.5143207657715742,0.25865833817198736,0.38924712688985863,0.5675680275904191,0.5967545131510494,0.7494166205478968,0.6530430246620421,0.6178016658395962,0.6508994091449537,0.7764558269467349,0.716660010981092,0.6245365611432842,0.7460175331093452,0.7338045619079825,0.655486115562778,0.680464161009297,0.6298471490872157,0.7061010845004059,0.6845640442631489,0.7154833541435848,0.7355934011260765,0.723243413598861,0.735270962226205,0.6608820771980126,0.6430914137982304,0.6408398129484201,0.7270577266363665,0.7684740052720386,0.767383910589538,0.7877462210180615,0.8217938331307597,0.816351594103325,0.7879014754160446,0.7658615212814465,0.8015268519002859,0.7174264103606516,0.6706155745361316,0.7339651385741158,1.060174868420649,0.796538887736328,0.7338537505843707,0.774830198770358,1.0276648407708824,1.4627288167832353,1.2981049149714712,0.7468255460706941,0.8855885153188283,0.9737082564399266,0.8059885918683849,0.8375870066089417,0.797755799455584,0.7149065429301941,1.4876643271277903,0.9140091821389908,0.7623468116884621,0.8802782937709998,1.0404544613110651,1.0775148879676868,0.7368752756323694,0.8330616145270168,0.7977432927166653,0.832931608785714,0.7545975120633402,0.7742741478888134,0.765565741413544,0.7556024836719193,0.7664869130164997,0.7681545643451803,1.0044256448237983,1.3081388775208125,0.894589282027534,0.9120018307014113,0.8267332903498631,1.1699775906500371,0.7654132441759361,0.7692224353745173,0.765248936268121,0.871209977871505,0.8674328103383292,0.8681719572619805,1.2081662857102173,0.7490730819112974,0.8375304348471476,0.8332460452353746,0.7649492757786196,0.8701906744123502,0.7668777408780287,0.8720819745809678,0.771208717789889,0.8527121548886445,0.7948586734136742,0.7779933374126258,0.7824752247595979,0.7764416517114552,0.8315723530837115,0.8127387387514693,0.8303822168660572,1.0311252417262908,0.8730429575712458,0.9413785755821422,0.8049383463942624,0.8291359478007924,0.8864992301325391,0.7581976275636833,0.987845846485172,0.6782742402095117,0.6657024147801018,0.9213488165049585,0.6279784339427604,0.619548009640147,0.6476693755670389,0.6135143612658295,0.6126235036710763,0.5715557129133645,0.6640807887544784,0.5553142082672055,0.5582391744630739,0.6710975792970235,0.5535766973658512,0.5524791118550518,0.5017491688479947,0.5237806283144575,0.5234107923717743,0.5457376642774073,0.5801326609328417,0.5617278987560573,0.5743910564358751,0.6393343550033314,0.5448653654561273,0.665740572591678,0.5597091970110228,0.739289307722258,0.6126359359459908,0.6331060702286566,0.7539398295480049,0.8769556673660063,0.7998802219372138,0.5807222321318118,0.7219664859022185,0.6736368012032381,0.5765519221241381,0.6038411205797547,0.7255384085249481,0.6745247527833708,0.6351199745213358,0.6870123858004987,0.6812508307053642,0.7178681342328544,0.8037978518636217,0.8241395862348821,1.151265494266887,1.4310774762386609,1.0486837212946507,0.8947176592947808,0.8233199641785763,0.8494205757388795,0.7687977843944171,0.7771659727878524,0.6527593184665833,0.6863275416114039,0.5914479650712116,0.6364723995151348,0.8068832190156647,0.6840653914936254,0.7826769295936354,0.9789404983750579,1.0766434196059564,1.0515800048766828,0.8424943903136551,0.6709414310322491,0.7103628492849356,0.6260390250933746,0.6944728146416886,0.776812688004347,0.7709993600420748,1.0238679463817455,0.733582436514952,0.8125299529136425,0.731005668726368,0.665714337174568,0.6306809302611207,0.6290868003182041,0.6186405207195933,0.7049274464838875,0.7835118222315915,0.905612421940996,1.341492860327419,1.0102288978032383,0.9294059112754762,0.7494425644117833,0.6993861574331117,0.6793260808296742,0.55359399337375,0.5990141812473159,0.6976349433851877,0.5330754230250552,0.4841804963892164,0.5801966963642122,0.5390123972539783,0.6247643372790977,0.5550152311584527,0.46394206776381497,0.5213952593006709,0.5082123327900562,0.49360124066679834,0.49643770828316475,0.5860247533223089,0.5076751127242307,0.6438237173387671,0.6548965501035854,0.6500375751136952,0.9353424276753108,0.8724946647075386,0.836556570950537,0.8740448502461509,0.8060839129727664,0.6869802076756644,0.7575356302849772,0.7945098378132189,2.0612837367611525,1.0115922228907561,1.5269710235402068,0.7478346246172659,0.7766337097808599,0.7902638977177128,0.7716844196374915,0.7046456904267013,0.5800048104003075,0.7230333281979429,0.597003913495815,0.6359941853415934,0.5484708844909248,0.82193030169406,0.6264369977680879,0.6078337055010203,0.789335003850618,0.5419022564788959,0.7290085775925123,0.6557939722649134,0.7285059475825538,0.8247256753205056,1.087021319331887,0.9994582413692369,0.8736598756872532,0.8172121192104539,0.9487743406150536,0.9008078069577531,0.7990918706509454,0.9611418513800424,1.085878661840816,0.7508659493710876,0.7837253458476846,0.9331485274992146,0.8795120615933982,0.70944852776865,0.755445294416508,0.699553746683177,0.7022630713970399,0.6914204353014021,0.6939379823768844,0.6693477578048312,0.5840685874027208,0.617362702169035,0.6086608840761949,0.6175551935202576,0.5372664517936443,0.5789797620025788,0.6896886957569323,0.6407408730928001,0.5482055740840417,0.6554725897851551,0.8049021605495693,0.8210920200183495,0.781219273687232,0.8914294215230826,0.9474888459614262,1.1106481129396273,0.8630217166530614,0.6978665019789166,0.7561452237227253,1.0560438067576057,0.8335954158720783,0.8063938451899417,0.6767857758642231,0.5649630459344337,0.5738766446249716,0.5051046092198025,0.5171623813083763,0.516786034313271,0.6276760673549165,0.7293119974623112,1.5320479893388692,0.6190373996876156,0.5576117847329205,0.6558195177330165,0.7905948596375217,0.4870873384106469,0.6218410095143951,0.6741422567072388,1.4372050697492813,2.383695042283816,1.9040624931572891],[0.8058042266089354,0.727196729737172,0.8707697681380873,0.5701434935091311,0.639043870081785,0.6417810126619299,0.5820486788565259,0.6689902139515328,0.5251154630296676,0.49356522971926275,0.5286653145818507,0.666565490542143,0.5941323802055325,0.49451515255820666,0.6447090900018854,0.6200983773162265,0.5487476599741471,0.5617504490279157,0.5332116741464694,0.6089098623559867,0.5794895564397022,0.6297563744580381,0.6627341816764853,0.6379812822885085,0.6576499845350611,0.5663049279367387,0.5576913351142585,0.5443387822404036,0.6143928398419979,0.6715439928722519,0.6470837010840551,0.688111387343082,0.698692321522806,0.7129441654453484,0.6705675118749458,0.6590217587926435,0.7113703944729306,0.6277160046141547,0.6114616565860754,0.6936331525624354,1.0125352174427913,0.7310401704733926,0.6623106532693626,0.7258125515492873,0.957296268083528,1.3957016057438183,1.2125652775840552,0.7114754067364425,0.8463287423861601,0.9773999649794384,0.8133478605531403,0.8427514113570168,0.7726186147912368,0.7098640701566046,1.4609022047066018,0.8749322988147005,0.7150810072598275,0.8136802061104077,0.9843650360881511,1.0285069510168867,0.6689185665020801,0.7576263918054077,0.7407019022043462,0.7643771783896313,0.6610132647586532,0.6791825474715644,0.6924050168482054,0.6517107782582561,0.6742396347757951,0.6657590224815296,0.9439294182816172,1.3608309716025715,0.8629003047300661,0.8523332919943997,0.7078410143657619,1.1272213006416891,0.6596742312422902,0.6830844045359368,0.6812864450541865,0.74069331980671,0.7873450352439092,0.7979032090096452,1.1607728545141818,0.7737333057458732,0.8120728967825422,0.7629764476111074,0.677407516267717,0.8018679845089183,0.6512536595810811,0.756022361394602,0.6685390965724926,0.7674752990143722,0.6851865068510292,0.680226765187861,0.6690884337719339,0.6958305580891476,0.7626391363160445,0.6998753918574632,0.7289022661082468,0.9624894423840764,0.7924252440439566,0.8980055980210659,0.7726201984262526,0.8209003799792648,0.9020850595375687,0.8130685291212915,1.1181254278827477,0.8235060910081885,0.8200187309765505,1.0063336113669754,0.7340006158838084,0.6689399114729706,0.6240698760485197,0.5945950095817627,0.5395516090747434,0.5235658638378679,0.5730086784531991,0.5009113252113473,0.47709511404104604,0.5521178650420395,0.4456333474194121,0.4428385352548063,0.4357283264284666,0.4684850858555807,0.4793507672059577,0.5770453015397016,0.6626578885449406,0.6565828605056843,0.7204994132938569,0.7606817321809279,0.7460993621328958,0.8642730033662179,0.7457599927443074,0.841708062216313,0.726733599053856,0.706880727647606,0.8544375060850805,0.9107885241632191,0.8052156121147735,0.6026280316945548,0.7287142546285854,0.6715447678055443,0.5498212421688811,0.5767647745833652,0.6695033549413142,0.5927652302188395,0.5782665155345246,0.6032914395121273,0.632499793712807,0.6438226855507535,0.752108940263202,0.7275416364360879,1.1349266394859794,1.3525633148147678,0.975088664336447,0.8511890025297597,0.7398789001364723,0.794004514051267,0.7101977530954692,0.743174410517063,0.6389490284740682,0.6265570352233777,0.5805865720092184,0.6164487837600722,0.8160213776257095,0.7230393283623027,0.855472105454681,1.0537674517151412,1.1690431950289006,1.1205771635927004,0.9275948802008148,0.7160782499398418,0.73726140681487,0.6467681520481189,0.6802726762617174,0.7645728528982678,0.714095371827457,1.0336811000280066,0.7101946416513307,0.8333780357436068,0.7630269478259826,0.7042514729476731,0.7075505191166778,0.71247768186541,0.7007787536665632,0.7390159743084671,0.7784398769188108,0.926581185691932,1.3574119311489308,1.0465018893837166,1.0171330565702077,0.8461489898909507,0.8128731016393637,0.8092118281115114,0.7463289796152819,0.8378845917777082,0.8879703096213644,0.7955103058881996,0.7842795918832256,0.8196874013882464,0.8314436070153817,0.8669534531648735,0.7966341437559803,0.7945891333486979,0.8387777536954987,0.8227487412404351,0.806225051218428,0.8041345194419371,0.8868291997297527,0.7978959219992167,0.8470269620560172,0.8981539342209931,0.8846465936729666,0.9619079560743575,1.015390060466756,1.001610667144644,1.0521195775016026,1.0118058269656418,0.9492641485821828,0.989519601808432,1.036698373656339,2.0662534266883874,1.235330217669081,1.71693705239427,1.0440264279455047,1.0762928545875745,1.0973845566155551,1.0730477779110803,1.0396556540126212,0.8985278380841955,0.9973370377826579,0.901089258369671,0.9071160445443511,0.8487324837270656,1.0388853252539993,0.9264542541112503,0.8997605704897549,0.9869278537390112,0.8372203681448673,0.9597581117710412,0.9266778804953737,0.9870828864224959,1.0522322179816113,1.3164458881170942,1.1680881613681093,1.080156923492736,1.0578685861946728,1.1706155315224354,1.0959585013439936,1.0459480416189342,1.1931837560045373,1.2787884451239862,1.0281965941677231,1.0817126074501378,1.210035218190189,1.1481381258077965,0.9985770846275567,1.0489628790121006,0.9862038688911496,1.0079851398905688,1.0007539543508144,1.0117343088202033,0.9757294990547392,0.9049613230413706,0.9278338280751005,0.9222227159628923,0.9176296747909874,0.870674159330684,0.8997205357933756,0.9780924400897191,0.9053000605125471,0.8544020479839343,0.9870571367558114,1.0578775115261314,1.023841774349006,0.9878294686760898,1.1229483998896574,1.1071013060769845,1.2803238447976182,1.0521296938183637,0.9203033497084848,0.9479848871298189,1.226858574708931,1.0346082324889758,1.0319034166247245,0.9386194098303701,0.8467041872884966,0.8399758271186794,0.7662459641307494,0.719056458596346,0.7753540040074917,0.8194771398880021,0.9430695068703487,1.5124645397609229,0.7739375830342295,0.8634319252967987,0.8764193977892681,0.8454048725754488,0.7586563522751625,1.0577042088659143,1.2715583778633717,1.6085091851678865,2.4635654855741795,2.5422075137854523],[0.6377687838467264,0.38184014321940213,0.5160138286970152,0.2935485634027093,0.3410530978252696,0.41139497980461204,0.33388024717537834,0.43410686666807147,0.356155206068599,0.333958073587109,0.4038213197274345,0.5096256620539892,0.4069096328803881,0.38131848382498573,0.553210370887066,0.4736570222990467,0.4147842455828646,0.4419656514165987,0.42938049979978504,0.444590212837755,0.4335078111100785,0.4435900268694947,0.5418533553918928,0.5586564421688812,0.4683886152252745,0.42053899436779874,0.3784281338497102,0.37070361079345904,0.43928588264177854,0.4852122306609411,0.4821995408642187,0.5425651195834973,0.625453385428043,0.5798526882864883,0.5170396248551892,0.4800416402226218,0.5187871436185486,0.47698009150518755,0.4169525654218302,0.45341994933874724,0.7915615393308663,0.5377091900492695,0.4585751796834226,0.5530295857665218,0.7799565128039544,1.2339853378240968,1.1022741297211263,0.5736591406040007,0.6324208459418215,0.7823223772016311,0.6334028455557745,0.7144980563796878,0.578098355851718,0.5227386169023104,1.3964073246782704,0.6815820929127716,0.5458754028775077,0.6346303391514531,0.8449417381421735,0.9669530879355356,0.5265400951523473,0.6246108572265618,0.6157539819551772,0.709643055397225,0.5008678716031482,0.5033528889521758,0.6909955112462446,0.559441888660563,0.6049371243926344,0.5663428267500544,0.9199588353501804,1.3678007092015474,0.8177508089730567,0.8366603293981932,0.5995919465381553,1.0861144980472652,0.5347246808375494,0.5751127771629692,0.5428883310818976,0.5788715940431954,0.5818855554484701,0.5793214187906109,1.0593308636533216,0.6516701903421789,0.5687063476427179,0.5282655329625486,0.4848602415031287,0.6202455792286061,0.48026750074461133,0.6116152506433464,0.5311613130375124,0.626621253799136,0.5541695103569818,0.5570475281162083,0.5175562627970376,0.5664963532089068,0.6214782440826913,0.5587179619899336,0.5650526340893576,0.847531858026924,0.6101647496796268,0.6797152071929183,0.5719457876092412,0.5915656428808858,0.6426454682080278,0.5664588901851961,0.9095668611633612,0.5100177857932213,0.5050270543675308,0.7224549341088736,0.4508916611167455,0.4024499623583193,0.379939531516098,0.3722953503746347,0.38527722321753055,0.3631738763348382,0.42282213983267086,0.369232505244168,0.434859079336935,0.46066982374608856,0.37627231781073806,0.3523032741815098,0.3132022490843653,0.3161688359958603,0.32130862878578864,0.3723947498840775,0.4395726527526387,0.3951631742036778,0.39682829354514976,0.44408919087298643,0.4335736619141627,0.5953135302331348,0.4395326955260108,0.6033158131545808,0.4413941294383493,0.43080908949396424,0.6772930262303158,0.7355712727601816,0.7206228405964135,0.40106072609370763,0.6317360136166741,0.5494034203959304,0.38880048413308543,0.3737314489166955,0.4169905464097993,0.4265061857078549,0.3622570019140955,0.4071186320292351,0.39112189944754994,0.3946097909429913,0.5112960920858869,0.5444361844054197,1.0918617673957898,1.5097113648089924,0.9299409911981238,0.7151687605954128,0.5358969090132583,0.571718200357965,0.4865814556976049,0.49774980735040203,0.39535492771005815,0.418835157708081,0.3692103016128913,0.3760666231543318,0.5923450368017138,0.5093193837525489,0.6341519973540611,0.9093446563294229,0.9922027350449718,0.9753995002642901,0.6987565671949635,0.495811502962427,0.48212212228012524,0.4301674224320326,0.42901881199209324,0.5132771511091508,0.5214084607743305,0.8181246233332388,0.48694364598797174,0.5798438859837048,0.6577038245813245,0.4643375025024902,0.4612185250257865,0.4750541615978838,0.46635318843081175,0.5324218826182137,0.5507987673507228,0.7344389887598429,1.2654232835889025,0.8450969619662084,0.8021272657121707,0.5952329438467393,0.60826467925836,0.5645645344557038,0.4530431442480396,0.5140740249145608,0.6452676816259721,0.4477302853683732,0.42981622747028253,0.5424603557994592,0.503379284586412,0.5497306879608208,0.47690497649403524,0.45177019733539076,0.5318380126881034,0.5020060630799849,0.5018548966837884,0.5168287392880452,0.6255187343565836,0.5271357231000336,0.6133621866671671,0.6744643055050794,0.6634420532546876,0.7703887859920783,0.8155035319640418,0.7796983657350004,0.8665919630177539,0.782309113726468,0.6919242659434413,0.7908499816732331,0.8355919042278976,2.0387787178841577,1.0741238581438164,1.5974240837130516,0.804072193563096,0.817716275709782,0.8086642135685683,0.8112241910663798,0.7265306164991631,0.6135176340657936,0.7540923526507443,0.6337397102845779,0.664726293189577,0.5751510724074521,0.8449441926752569,0.6468477962414948,0.600669946832722,0.7523084079549811,0.5131315791679809,0.6575345900216667,0.6446778854356373,0.7477819682398025,0.7974892054427435,1.0695321741817203,0.9413495630494226,0.8399648472233663,0.7955197055178304,0.9290084897132334,0.8236245692652265,0.7661471831124276,0.9622064381220269,1.042418498546218,0.7454889219547136,0.8496131105656269,1.010511764162325,0.908983480991373,0.7873101673750216,0.8548464263061989,0.7733671423988541,0.7738304676972149,0.72970702268909,0.7417293362995027,0.7472752203665686,0.6330396456812488,0.6585749619078589,0.6583935297979293,0.6606026104776473,0.5721643914705352,0.6210080281088797,0.7227763781146436,0.6378629638240031,0.5638356753684443,0.6839313031572816,0.8440867491424198,0.8140014267855588,0.7587701172058527,0.88539855140126,0.9052019676082693,1.1459117393985492,0.8216873409260135,0.6722637688111559,0.6771559586120135,0.9776964084970566,0.8023891767818039,0.8005096355320356,0.6760710014917628,0.577006243362643,0.5674974729662055,0.4386487248507019,0.4152189144259872,0.4226728757663636,0.5116118499625767,0.6922951760246551,1.373760206213269,0.45316359601881184,0.5874398271157186,0.6062445353646548,0.6198232563750355,0.4861701436073494,0.8148807584328144,0.9439330002545963,2.0770636582288,3.138192343347337,3.094880367191764],[0.6088108385913723,0.3373702945659663,0.45320005715829625,0.27637700298637374,0.28837770509283,0.33695951298526355,0.2639572676833324,0.37767286809315925,0.3199776343457922,0.29434516300164293,0.34836379651042765,0.4431405124126112,0.36127508859615204,0.3477787955909811,0.4923814854661937,0.4141900340709335,0.3809732858726314,0.38002601084256593,0.3759418361197927,0.39521989246648404,0.3849062843383603,0.4035611947836418,0.5168525262198288,0.5681333471678354,0.4674018318348626,0.4156703592328286,0.34316301614455025,0.31513458987556403,0.39012943964398294,0.4315283932659297,0.4586144689319141,0.4539635330980039,0.5841191892378012,0.5154409910379346,0.4521029109854488,0.4198730184770003,0.42925620041323803,0.41242400308772803,0.36074588645414024,0.39154383703167517,0.774269754233732,0.501085207940103,0.40930620388025046,0.5325903795191289,0.8019645449624814,1.243182340356717,1.1360096897544314,0.567171235342989,0.6127070334930425,0.7911406272607314,0.6235868546976744,0.7250476194463036,0.5544543319892627,0.5037357360843728,1.3899295117150055,0.6200863442985961,0.4972210030452557,0.6106604403649557,0.7910185904633836,0.9822200471765342,0.4812273459458907,0.5871567037531427,0.5556916769152135,0.6420767706416701,0.4538083295711089,0.44666009175730126,0.6413135569344984,0.5046269160479202,0.5836745458045197,0.547571964995399,0.9022518053201984,1.3188524760178961,0.7796461112062203,0.8082164367489494,0.5416895810832335,1.0689255072894042,0.4454919888613178,0.5151176918914753,0.47346085010589883,0.5304022543775375,0.4978932238808861,0.5251942023109604,1.0030519846768824,0.5455163884956244,0.539883319655576,0.4629905547985528,0.411977230031747,0.5549650147715662,0.419454856795355,0.5477272797728322,0.4728872552544342,0.6094450454239835,0.5235254508323133,0.4864859459716203,0.46499349370403453,0.5232338631068051,0.5945725764053026,0.49530971904303095,0.49050497198840576,0.7755856418920818,0.5344584614383571,0.6198138894731915,0.47270187692089966,0.5243487402472652,0.5721533017656878,0.4927550327816072,0.8591183516832583,0.44245073585740036,0.4501841942136985,0.7018995389275275,0.4045951833034787,0.32643124887307917,0.2974752617141093,0.3336050795150163,0.387611915087323,0.3190577859856341,0.3720019412442199,0.3366982198835442,0.39983304272061615,0.42891065516637045,0.3494605870343339,0.3225559089820396,0.3005283513744474,0.29132091252704,0.30472020784107046,0.35046371480536315,0.36662298768024265,0.35957551621843836,0.3704813672136609,0.3858096943270023,0.39093378518843325,0.5320249950123102,0.38296578795938024,0.539504060867904,0.40616300417073065,0.40401725237805375,0.6522239816145146,0.7355408385814292,0.7059468874108958,0.37969449359099666,0.6309154871704586,0.5441026783905777,0.3509369587753221,0.33313691229057535,0.38021689607648573,0.4133333380369006,0.30184418071970903,0.38574306428015726,0.3222794535940245,0.33813721909854516,0.4672536306760563,0.5213282336965275,1.0303499994029321,1.564146929479629,0.9661565495615044,0.6546790513714829,0.48488446179839306,0.5084540359300973,0.40698925592392465,0.44263391792566037,0.3283466364484982,0.3769630377409732,0.33283592591244127,0.32133525829872317,0.5924656210362612,0.4785337072400062,0.6416156852186614,0.9624333925371729,1.0229593885324328,0.9982488401206422,0.7000808293410251,0.4884075521345306,0.4759440678432523,0.3583180537942862,0.358969035816141,0.43453393802818596,0.462394950340729,0.7237977276536521,0.4270765145217212,0.4923460703831703,0.5985915968416069,0.3734486667361632,0.3785562484798195,0.4043433249911729,0.4028512673441927,0.489247965235804,0.5132925754288966,0.7312295894281592,1.2762992723361044,0.8847580445141774,0.8531416053098496,0.5969685636021574,0.6103744559664322,0.5631700726499361,0.4352517255769357,0.48434394897801764,0.6340175606134445,0.3986554803075223,0.3907593189336101,0.5183026378750338,0.438078504448189,0.4843610892586385,0.42276367707143586,0.4134964838983188,0.4831928326316481,0.4640695735207765,0.4713051171800227,0.5009010597159614,0.5969336118022288,0.5121118936224996,0.6002453619795243,0.6577167272348713,0.6694395764536605,0.7446490374056721,0.7991821100618205,0.787677141741733,0.838126731824751,0.782818927531506,0.6722623897877341,0.763461114398009,0.7948643545743423,1.926350217449239,1.0311690666863003,1.5592841853375363,0.7464864971197978,0.7275427473940096,0.7069897873944299,0.6954702593883397,0.658307373571702,0.5452277445940075,0.6769603885569194,0.5749814897970108,0.6327607334301284,0.5321698725116183,0.7843546079136974,0.6432719249406663,0.5941495451573915,0.7512840795802871,0.47952849991693725,0.5974393524978626,0.5717802546333793,0.6711856575658515,0.7241650323984798,0.9755360942677971,0.8699489712656936,0.7526267440577398,0.7055255780834186,0.8495810463321423,0.7463088331000153,0.6996283770285975,0.8980556492613856,1.0093248640177994,0.7112281180057676,0.7826309379001056,0.9428862115212037,0.8866077877975262,0.7448192505811558,0.7956085310341401,0.7157431546039218,0.7065446067465984,0.6571015451181668,0.66462667231483,0.6904152693414585,0.5933249775209726,0.6010566872468889,0.6117008550672616,0.626299834724379,0.5317194373993454,0.5643637695134437,0.7017977258509549,0.6201902814904565,0.54581571898569,0.6339766010440259,0.8406255530978921,0.8167853997472853,0.758366138561024,0.8810117634223701,0.9148355189082049,1.1449252563127807,0.8114653547838201,0.6760924211655468,0.6330424357594833,0.9356557165774843,0.7753221403803516,0.7901973840886464,0.6606667599345997,0.5544915345880734,0.540338588584709,0.39938267291567286,0.36891093789275603,0.382818008323647,0.46326389679292906,0.6467105548578256,1.4100637364499418,0.44798550165438944,0.5402583347995373,0.5538169619285269,0.5960871657623099,0.45508265391213626,0.7241065472053273,0.9283881922276094,1.944284618023768,2.8790140023740243,2.572433417512479],[0.579466631855507,0.3195065384827605,0.4857925598737575,0.27975341193186753,0.3124439332014794,0.3381495653002951,0.24298185358201835,0.3619271109577089,0.29869322840106033,0.26271266708651253,0.3166996230179301,0.4257573087803711,0.32345914109304713,0.3174706181556301,0.4740078915210061,0.3958429819669209,0.37340661864027896,0.38086367280958267,0.3739744021097212,0.3856950555009923,0.38315343094618953,0.3937708307699681,0.5261756778250645,0.5970305677661564,0.4525482869428593,0.4123414814685036,0.3237649486860227,0.2938459378771122,0.36610760896962025,0.4092290019876498,0.450014862269476,0.46372692155547185,0.5908444817798633,0.5143430061922918,0.45251342711259857,0.41193310081274714,0.4168350511034629,0.40324946820602137,0.35161244856653245,0.37833504264588236,0.7443156153955305,0.4912505395438686,0.4144444384435129,0.5337308436372319,0.8224516532538444,1.2231112051697464,1.1293228869818699,0.5863309045737656,0.6003567145844407,0.7809154699564532,0.5993277791138263,0.7351678733811153,0.5193524067822771,0.48881756692868095,1.3684456954095894,0.588262191097734,0.4894759475992045,0.6026805438735318,0.7686744950155481,1.0181582197121313,0.48342174173342867,0.5773692289052547,0.5379820179185504,0.6778354681800672,0.46658240870373313,0.4536755905804156,0.6603176794440885,0.5248316823508037,0.5869967504252586,0.5315388457235958,0.8981923424140444,1.3253279280427919,0.7723797570067034,0.8617351602341866,0.5132672111870429,1.0922709184730863,0.44823792833110077,0.5158225416468434,0.4627894413432159,0.5232403422428712,0.4686955814868715,0.5074438119561654,1.0272748210392406,0.5450231511958512,0.5256960409091476,0.43637285224856814,0.3991014777908334,0.5274344845997426,0.417584947396017,0.546532912587252,0.4610205370179822,0.6156239953116629,0.5310897721270155,0.4953660758036991,0.46898207347095433,0.5433013251257099,0.5954099445224321,0.49958061460179504,0.48779480268913833,0.7898820949042067,0.5272427541389153,0.5944255690692779,0.47357240886218144,0.5122849843953781,0.5545445915773692,0.4932727523441761,0.8656614595981701,0.4464272106016771,0.4585116371317777,0.7144938236400252,0.41451544048384503,0.3301484208599318,0.29056597173309384,0.32421722212420667,0.36751817140671567,0.31873558671797964,0.3410616843407303,0.3242244112250154,0.43003487860210404,0.4217846314296679,0.34274655527215026,0.3054522347472866,0.27940727641747093,0.2675907799573136,0.2896245878118206,0.33962232676065396,0.3637170058223246,0.3550108711585819,0.3799395472921998,0.4026490180113288,0.4096405211570718,0.5568612538217456,0.39775893985392474,0.5382233309735894,0.4097354279170291,0.40322751982942134,0.6400734690600958,0.6854844897552972,0.6538064193195546,0.37789956490096643,0.6645155873622844,0.5804102327990104,0.35520548383274536,0.3247815680260143,0.3331151733326601,0.3787738132512547,0.29102723816128173,0.36061790940770216,0.30753618867387267,0.32804424278939787,0.4586207443549746,0.5209398428614903,1.0532842360473131,1.636173636147614,0.9988783254563697,0.662248036791565,0.473406665469717,0.4984407003450188,0.39668555386321547,0.43952892448416986,0.3197937156120017,0.35259547872517716,0.33608213625450145,0.31526346463501026,0.5461236317223068,0.4861982829562365,0.6470072701170726,1.0044136359044498,1.0470346605899967,1.0125318033923127,0.7019203426187268,0.47133849725388366,0.45522288409776857,0.36410355244644754,0.3502784418495752,0.41560679466907635,0.4402145326163808,0.705326962175452,0.39532931384653747,0.4731432105387292,0.6337050374272262,0.3806060445865158,0.3801317493781802,0.39856829764049434,0.4108988268375998,0.4999878533169862,0.5155259153943704,0.73837587246073,1.3002524025553084,0.9062424648485233,0.8905060835702335,0.6184674967848146,0.6298472579484155,0.5762619262001215,0.4574302248665866,0.5056162541874804,0.6343945252070048,0.408999065624818,0.4141688940688257,0.5515805385566547,0.4594322760109458,0.5035122610851532,0.4470007460670185,0.4368945609299739,0.5050923312945386,0.4875219235275311,0.48829191145034606,0.5186515317138449,0.6188884576038404,0.5228146821876287,0.601610028945416,0.6752117570991658,0.6753769821505585,0.7000973629917402,0.8058778712033057,0.7853274164455193,0.8572219046807699,0.7940638807156836,0.6887304834369814,0.7816907812920691,0.8219940775714669,1.883700875297602,1.0607858672323567,1.5597624033388853,0.7566417825093801,0.7449518998777459,0.7286037358253057,0.7175392134107326,0.6780068541030819,0.5717566049047323,0.6994082925724222,0.5971757591542562,0.6588649220279363,0.5670238620572854,0.8007471922522296,0.6727999955404088,0.6115805897564461,0.758058862941578,0.5018820071488422,0.6072219518458615,0.5853987894328152,0.6873524797286926,0.7415072503791257,0.983443633932203,0.8751512459053534,0.7735258186129306,0.7273099748485569,0.8741489284796734,0.7516683349921998,0.7173974113104769,0.9217933615655738,1.024075280273368,0.734272106696495,0.8194774512864449,0.9849841194226866,0.9227878400374527,0.7781188129640502,0.8409214996609492,0.7522368470113087,0.7411874711761757,0.6861812152382861,0.6939693146979363,0.7232829253810845,0.6163383311390495,0.6239248292927315,0.6317088800355787,0.6401300280941143,0.5451947033634678,0.5788638055657149,0.7220919256772405,0.6165722458334449,0.5625781458430382,0.6432698823052648,0.8699194313002392,0.8257212227984766,0.7695031220209303,0.9102913067346721,0.9176870406545923,1.2025155820787123,0.8222219376477611,0.6690738168490447,0.6208654344346665,0.920524005376524,0.7848402115226913,0.8181327420296928,0.6744943930639717,0.5868107960992586,0.559507635464218,0.4128918225642201,0.3885288560290736,0.420863056006778,0.47765641511752605,0.6483181010298076,1.3879811263494664,0.4634079744081565,0.5571161486886668,0.5764138662996291,0.5989695710002171,0.4763577024005278,0.730757124275433,1.0051248500805294,1.7620887663292382,2.701832306396718,2.580638642389562],[0.6120305664379788,0.3406933698321474,0.4085351391563561,0.30321063873655724,0.33264549491484185,0.37993538965154716,0.26250984358818386,0.36251131507320883,0.31933452384113425,0.30573922242983115,0.3454103298661766,0.4440156173877392,0.34686124757661946,0.3538455846527289,0.4879632803924512,0.42695975844227624,0.42266921877720653,0.4171958622964112,0.4293302205804949,0.4182069374098342,0.43631852475430666,0.4444577590416198,0.581675129951334,0.6705488434080366,0.4910167155583543,0.4625084897845923,0.38267643600002743,0.3470985301231727,0.3912551968549502,0.43836977307989755,0.47804934458711834,0.48232429362197304,0.6116040002756812,0.5278291069119077,0.4674881571639257,0.4340376547063334,0.4308692266274642,0.4313133098126696,0.4003824358802544,0.404693308543155,0.7199088068928202,0.5183251802734002,0.4668875901706795,0.5703987895553166,0.8430329693614838,1.1901659745545765,1.123676317778636,0.6293704394734436,0.596849044240112,0.7855325627531063,0.6288282470723588,0.7958880117772198,0.5331159244775029,0.5221158780262972,1.3422701371143573,0.5870544217038459,0.5248628907149366,0.6315778456211557,0.7734749857756932,1.0963399835004248,0.5344262488188082,0.5910392239209388,0.5477199265342511,0.7208762819142529,0.5152002688084332,0.48640932603064246,0.6861600998656879,0.5485070460428334,0.6215628428709395,0.5518142307309046,0.9179140053129862,1.3325589495457593,0.7744121499902941,0.8938972348727731,0.5235324319246567,1.1242635984157696,0.4686610465897858,0.5308417523290795,0.48027699067522356,0.5418250432190599,0.4605780565673984,0.5208945040658706,1.0925013117095073,0.5229332985157832,0.5438607902786686,0.4469872353337447,0.4211791560003777,0.5250990312342013,0.44164512113169235,0.556749642011737,0.4825712880931047,0.6525631887904108,0.5528954771674885,0.5113639446408637,0.4896925765937407,0.5615111860600565,0.609037999958825,0.5122080780273154,0.4980352612417938,0.7901525036864523,0.5296733483148515,0.6021671606952999,0.47469078699416495,0.4959005128716888,0.5379805135986105,0.48238862820627343,0.7831120439327742,0.4134622693066816,0.4287589781949749,0.7146489334227126,0.3860582343702116,0.33626828715880125,0.2940986379189797,0.3613989412057855,0.44102436639027776,0.3564180594248239,0.3788436265932447,0.3798187455162354,0.5118805556558339,0.4614020321082404,0.41025414082901895,0.36559881502546976,0.3339634147524576,0.30349325443442926,0.3392494343793143,0.36272808497705494,0.3520292673109099,0.3584942305484969,0.35910747765347695,0.3822171900799984,0.3714184568512302,0.48329836881290783,0.3626968460780032,0.5312023275096485,0.4081667625888867,0.4149874620774493,0.6111278393797398,0.6862272582898481,0.7048324373622127,0.40034343076819395,0.7075360235520372,0.6261058624107445,0.42650035928445046,0.3815655126431558,0.361554481328767,0.4287062014625221,0.33689161582219257,0.4212425619659438,0.3327760594234287,0.35947734064649256,0.46913009286135215,0.5654906519819297,1.020058243119614,1.7601269718175865,1.091232581190014,0.6616723158440404,0.4840252314579876,0.49701479466633774,0.41200613966242844,0.43635397702831646,0.3521550680400162,0.39611235942742246,0.37583917695469415,0.3492342789310413,0.5687585276676701,0.4835822496706437,0.6327906844718099,0.9911769561151376,1.0070982006104257,0.9777439254362468,0.6740830373836332,0.4839841018179173,0.4830881199333282,0.3683486865799874,0.3587446783536105,0.42685667784931686,0.4628576621454394,0.7161337367151717,0.4170898261416528,0.472232667881212,0.6170307035186107,0.37752038333435,0.37071652086670887,0.3903912602997762,0.40825915604715196,0.49053702622446205,0.5150254416272658,0.7387802891753215,1.29494606051357,0.896435653040626,0.9095626022852062,0.6587478922783644,0.6524520895861453,0.5817175581310566,0.447318743418415,0.4700389289938559,0.6242631979035967,0.3903908818389514,0.3857274289494916,0.5225094324125105,0.4034067779807575,0.44373652751798365,0.40464354424166427,0.3998303578833906,0.4624756220771417,0.45365898465005583,0.47650676794184604,0.49474694176656436,0.5830168855781726,0.5194711422939403,0.5995955124484645,0.6541436386034924,0.6718769668919571,0.7218303161248869,0.8042217858965818,0.7923192857315485,0.8333659735226735,0.7687494753373414,0.65401814656198,0.7403327728129784,0.7608364043945467,1.8543621286788181,0.9875727167204572,1.5300336521140652,0.7146695057555992,0.6945376516477617,0.6553521411360709,0.648501690275536,0.6173889671947504,0.5006545858048735,0.6294486500915285,0.5466096206593075,0.6034166367107591,0.5110673073362196,0.7905028428504594,0.6278002909393874,0.5859944700903126,0.7636561950527918,0.4529081177776098,0.5734670327304036,0.5219597904059867,0.6284173155380534,0.7111090694710741,0.932073649376175,0.8668143278010658,0.7363676471795976,0.66706344765974,0.8267603092170931,0.712636314596064,0.6600121524847335,0.8702741429222572,0.9760241404721837,0.6860885292177507,0.753939551532249,0.9191593598744081,0.8696772754276761,0.7284265276458123,0.7799718041149994,0.6923720222595489,0.6763734938772691,0.6203638603020886,0.620469651096799,0.6561843386526077,0.5673840842024841,0.5640095666959603,0.5781248053647209,0.599770683901011,0.5129079259909438,0.5257030292465177,0.6973996687741228,0.6029200424073925,0.5384393481617553,0.6266806887308207,0.8745975431861205,0.8464826561978802,0.7649990486067685,0.8938196914918113,0.9331092577629942,1.1297674448406156,0.8024810867284617,0.6761686199400324,0.6028818687438428,0.8943150946722488,0.7450671272246342,0.7879507516592328,0.6685174309502913,0.5768503552595088,0.5372464237402627,0.3843686008940278,0.388687494478815,0.37890584417122564,0.4582704500781561,0.639331916931504,1.4753393972857411,0.4556624689232905,0.5483542195762844,0.6133361913828368,0.6107141870391544,0.490315380163952,0.7206346608452696,0.9619199124945181,2.320510190683624,3.4102057827336427,3.103100782000981],[0.6153201684519003,0.3581658835141943,0.39010032097429287,0.3201946719740535,0.3411643468133141,0.36907245921384746,0.22692863462083301,0.318428860835576,0.2738512962956253,0.24659539303736203,0.29950076114511515,0.40729255766560674,0.29552078833624873,0.30195266201978777,0.4464553049053832,0.3712233167343223,0.358842827460178,0.36167480536649943,0.37867940100569103,0.37582764611094877,0.3826221307948041,0.39965255217225987,0.535742980672505,0.6122519754310111,0.4573003590895366,0.4141152059979832,0.3364302502852574,0.2950358162499764,0.3465769455701473,0.3810886171067428,0.4220928204812976,0.4263490515603009,0.5391364078564691,0.462400597715655,0.39848432703013786,0.3731023071671933,0.3761915710434489,0.3786481676972079,0.3376524855312869,0.3501916328983965,0.7203324131591266,0.4864858622405921,0.4179653330269725,0.5274644246742618,0.8166250786854147,1.196706914769191,1.1278231838832955,0.58808957178454,0.5676411361172196,0.7692882702137285,0.5895358067012324,0.7653471345712056,0.4968229362050254,0.4838938432387409,1.3212239190327972,0.5369499833764211,0.4881005477002944,0.5829757564843935,0.7273984622924105,1.071342032944076,0.49026650689620255,0.5525792619759291,0.506722018858213,0.649897518074681,0.46361159787044937,0.4408463001148784,0.6363476147363402,0.4992261007033372,0.5736722134504962,0.5247659876181399,0.8700771004938651,1.2709391012714453,0.7509486222634925,0.8476118123417291,0.5057743145832051,1.0725625747381597,0.4253613888556571,0.47571129192686684,0.423307518366017,0.4848670143402291,0.4104318997545696,0.4660615782716662,1.0277804380037718,0.4708042305424781,0.5143848911401688,0.3869868355914111,0.3669185879027809,0.48492825032004494,0.38050978136458097,0.5061976689042299,0.4343705413044139,0.6204881465236413,0.5178401542929123,0.4628681967333412,0.44186752957429165,0.5199048391171964,0.5645152845402197,0.45346890784978067,0.44513773298995524,0.7376957017834074,0.48014251402120006,0.5519075815897978,0.4078137730594792,0.44506311712737734,0.5161897870727425,0.44526989252995736,0.7598064855194612,0.3880290075604438,0.40917248716614946,0.6979106128227005,0.35959892503081026,0.29851815498553963,0.2534313732574873,0.31948721935223984,0.3637332954153663,0.31262231070649105,0.3458735255796881,0.3401814130892143,0.43885444430896936,0.40373019370118457,0.34166145975017836,0.3096699488426705,0.28493328486438624,0.2654849321298748,0.2904519313663977,0.3398358561297221,0.3350249577896475,0.34075393716923286,0.34854570117523176,0.3603454710441981,0.36772918128056226,0.47361205732104356,0.3520361686754517,0.4946726405679053,0.3965044262181754,0.3996093601858888,0.6090613460672164,0.6835064411292333,0.6907575334137562,0.3728448447242442,0.6762557518524506,0.5943997617981202,0.3818175581175599,0.3316865176128132,0.3209986792472128,0.37915002226918654,0.28920550352193586,0.3740102329153238,0.2750164798677949,0.30074528081473245,0.4231003648653645,0.5123308852647247,0.9561813862248878,1.6787370056676594,1.0641454491001594,0.5955941499901583,0.42800460534712204,0.4425725551494204,0.35784477229354855,0.3816964466794494,0.30976280028186903,0.3458967538558319,0.3357352259325722,0.2991041754110923,0.5434124425318412,0.4813410799086666,0.6285410498861074,0.9827984948336971,1.0045050182030755,0.974818056229336,0.6713239967435353,0.46840737987958364,0.46105354965239315,0.33632507071492473,0.31207785189515214,0.37670980045371466,0.4095297339309914,0.6664118511818756,0.36140250907520816,0.4245891521126949,0.6047100130032852,0.33511143565982704,0.34314490807412795,0.36815874278998995,0.38313899392075934,0.4665900038662246,0.4941130805909971,0.7157900262799939,1.2942874248650418,0.8962187075583048,0.9068851017992089,0.6481512025442643,0.6515361948733143,0.5843507432095512,0.44399023097641893,0.47068857812808723,0.618403816121585,0.3960803711940454,0.3960270864638919,0.5305981659887757,0.40090374066007,0.43614820682853594,0.4071350183267085,0.4026236987309868,0.45228569749437064,0.4502512745292636,0.47998031501786526,0.49175891550211853,0.5684500253199583,0.5195932451512906,0.5969633490255779,0.6404980606066267,0.6657500570833307,0.7364217661979602,0.7954300803882307,0.7894195694511563,0.8104146464207621,0.7541046222532504,0.6370410132456447,0.7176588812968057,0.7270650589148254,1.815975368786849,0.9472827781379136,1.50359020197739,0.6987425980506363,0.6693573604331519,0.630886786361655,0.6266108771432851,0.5907909531008797,0.48369185614747334,0.6190400341153003,0.541987005827251,0.5941710457286328,0.5111540169230934,0.7946072030286773,0.6267720330529126,0.5896530277821741,0.7663733196081814,0.45193268119440605,0.57692271708676,0.5148444674469004,0.6113498642168413,0.69648565520657,0.9043028408974902,0.8424665480797517,0.7125788526452654,0.645066614141018,0.7974435932572965,0.6950946446108989,0.6394192461464349,0.8391757543809902,0.9588355202644925,0.6671341307189745,0.7118944108075514,0.8732145043025089,0.8455003239932682,0.6941857333043523,0.7358243997944421,0.6591760361440078,0.6405344553740923,0.5899826850160965,0.5866913438928221,0.6235345594976742,0.5497673802230917,0.5449351535336915,0.560849744540679,0.5864992894093871,0.5086839562632443,0.5166598734449227,0.6885192722907054,0.6014568903273387,0.5398451425488078,0.6253410026688266,0.8692564460810861,0.8499644247567938,0.7597553055529812,0.8852362506342867,0.9380801370847295,1.085537828335952,0.7929141507319928,0.6804769645873165,0.6056044760867657,0.9004903044982885,0.7328296514050487,0.7731057865838784,0.6630245405230635,0.5721661003382535,0.5412234087664801,0.3904247622478085,0.3945747819555084,0.3890840793055487,0.45485455947925413,0.625555911791596,1.4723712678522145,0.4567700449899452,0.5262581872287867,0.5805548471503736,0.6295744611772336,0.4824016971271584,0.6805277732619762,0.9260610529817659,2.3078245225074796,3.3104932593141054,2.8882742719114223],[0.5738858108887755,0.3729170731046213,0.36711981718922515,0.2958576701288552,0.325878195482129,0.3625987293278126,0.2572416719281246,0.32305227538743514,0.3134712338160887,0.292043489165813,0.31064540480562586,0.4023660843201134,0.3170579424441784,0.3248404011979248,0.42779865871284956,0.3707361843724582,0.39888528491940695,0.366763419789892,0.41188773331827094,0.4080499549560449,0.43176997896151403,0.46190288319353523,0.5810774020665639,0.6823165630619304,0.53337995770027,0.49023516825298025,0.4115167658289447,0.357747735323887,0.3649765393883362,0.38801630984552277,0.41922874933927673,0.41556345350446783,0.517076524410589,0.4478985943377309,0.3946372384077914,0.3792818941271946,0.3852267271712619,0.41756958380863674,0.40037838965705574,0.4037004735348751,0.753877791283113,0.5363145575681921,0.4785438360058283,0.5668919806510534,0.8956740976975209,1.239763694965921,1.2133733859248177,0.6646711746425688,0.6158128005217143,0.8470741298717294,0.6438905505138083,0.8399269390183619,0.5422247256537661,0.5224884210834209,1.2976529972747521,0.5385547167061114,0.5216946552928362,0.6240041954088654,0.7168934618328303,1.1580589460764381,0.5315246515277202,0.5971983124865126,0.512478465057407,0.6990864715261735,0.5286420590955268,0.4857385824854803,0.6210963650159027,0.495785979912522,0.6038996580526752,0.5456006402695347,0.8639641254240952,1.212069411288597,0.7296178696419708,0.8539055450008184,0.5202011292466026,1.1176645453675327,0.4366561293707756,0.4504834473932503,0.4183432961970548,0.4915264275988878,0.41042521108599894,0.48862979841298726,1.0416437894316661,0.4274777087775332,0.5817720546243862,0.41669873791925255,0.398266968654736,0.47980332539436704,0.3921053459429627,0.4861379869076394,0.4273367509013709,0.6338454543010452,0.5184362349475281,0.45537437415570226,0.43093452644198305,0.518238738786798,0.5529321410327681,0.43653804598550733,0.4180461971897021,0.7102487251444686,0.4493047115618729,0.5271617170202295,0.38989385959981404,0.4200483170388099,0.5012796096541317,0.43496692749483873,0.7024979484067083,0.3653576490835976,0.3797477862183582,0.7155538461788529,0.34565179611299596,0.3078996161099273,0.2809404372722274,0.37345791818219276,0.4391768747524217,0.3801811429885921,0.3882373826605088,0.40092043286691637,0.5359445413454506,0.443373402389261,0.4010098413974765,0.37710885193537785,0.36222320764973465,0.32598637115934226,0.3498579850812674,0.39406339505019555,0.31531695798518483,0.35989248277373725,0.35943231349306987,0.39285934668643474,0.41504120560086655,0.4867100752385266,0.39602124743330935,0.5123898285290879,0.43931449954750357,0.44495780172291177,0.6003202555100319,0.6492650209893417,0.6759381916296177,0.43437857321351125,0.7344089666469972,0.6516826141889176,0.44584551754675283,0.40023660808509426,0.382970625074575,0.44889489852927345,0.3585532064956006,0.4352773833698888,0.3040934513028559,0.336303601564885,0.42891484245411304,0.5350109918662362,0.8855180473366356,1.6968170267700327,1.1260213956874752,0.5514021126047806,0.4142132067095939,0.43022170394045794,0.35094722305433074,0.37552238918063036,0.3630741827363032,0.3829008662330134,0.4105065356225278,0.37258279806720984,0.5632976744400034,0.5197325625919379,0.655435420517223,1.0363073010607498,1.0279363165025075,0.9813387634051761,0.68413719260691,0.5120314676024743,0.5078955051990521,0.3586285256806167,0.3384506264299638,0.3828510204404886,0.40812269030112713,0.6190893823964024,0.37974980304982114,0.3974359115998866,0.6133380755062745,0.3440451837213924,0.3535547282247699,0.38501047322700055,0.4030919344702061,0.5023903497744628,0.5521659571177936,0.7707969202708627,1.3489736503988041,0.9726594313318432,1.001722767467238,0.7303062160765037,0.7071563804977754,0.6327121313125873,0.5089490404917865,0.5427089029289788,0.6503469105814216,0.41806559049999986,0.4073252916790081,0.5869901307742295,0.3952353971957926,0.4297410384287133,0.4122109557570983,0.37777382506108875,0.40403479297814693,0.4199245914457214,0.44336232671446807,0.43151963042675145,0.5149169324742764,0.46937592634758646,0.5301925074434951,0.579307020465476,0.6313816286675766,0.685235379061282,0.758323280202645,0.7635610996145715,0.7459630295524816,0.6889401857716557,0.5610166628853922,0.6312191673544734,0.6188392977818259,1.6742262504025183,0.8689830902523714,1.4662659269909573,0.6613773259182819,0.609375331789077,0.5774339326339032,0.5913334068619809,0.5457686269842084,0.447468991587427,0.587803077154879,0.5242884494190616,0.5635097369149266,0.4949091355274775,0.8007204295619823,0.6218021124676183,0.6018325397849781,0.8357829269693913,0.4613018286684341,0.5890317843788279,0.5022429576454345,0.5879530198416514,0.6786870142589282,0.8562068342959479,0.8259258138440543,0.6728337866813453,0.6053789725553532,0.7637594977826613,0.6700316581360806,0.5924302514994192,0.786100558820332,0.9112082167834901,0.6257942204630514,0.6598486228041051,0.8209043959673015,0.8090494034485742,0.6457665785131229,0.6714140178638254,0.5933262964261318,0.5746574373157028,0.5275060807625319,0.5296357904271519,0.5461442264869546,0.48893255680297204,0.49627681923742106,0.49726820514010006,0.5261429634621669,0.4720614908419736,0.48391951746439843,0.647574780775257,0.5407826652742461,0.5158626086815075,0.6100232799077667,0.8666279667554648,0.8301812959880939,0.7161461566216751,0.9185647981989722,0.9675120448708294,1.0095928026707819,0.7353326816983375,0.6249765368232255,0.5330987561080488,0.8373001760804308,0.6530141873813523,0.7274525949881656,0.635663503116153,0.5646047476169836,0.5332395233317068,0.3894219971999461,0.4309622686637941,0.3846442731529334,0.46411151066574263,0.6060146973786091,1.492736770429546,0.473690649418793,0.49036772243274995,0.5810089097870286,0.6761856427198532,0.46418214051165596,0.6640196195419609,0.9048129600755189,2.4130512749912514,3.4113167134243416,2.988211682449742],[0.5556167045686842,0.3888582489332616,0.3519106766702723,0.275924531977766,0.3306988426120303,0.29624142534256886,0.2008897209130595,0.2673367098374209,0.2897767706122368,0.25539448277220145,0.2869396439378646,0.39213112578121684,0.2617440477815082,0.3097642449482925,0.39314775443408206,0.3404045822469471,0.37949093982587995,0.3603005713473837,0.40995257299711396,0.3945436205747833,0.4223078194112379,0.4605510609251532,0.6031944831440978,0.7145025105098606,0.5497021282053826,0.5013699131050926,0.4155605156841295,0.32919070459526417,0.34491915430640446,0.3560792711916916,0.41892781200146384,0.3875827154159723,0.4989969895515848,0.42673147312069776,0.35424180877905176,0.3522079021741395,0.348046459243095,0.38466100657932567,0.3571140926913627,0.3778223895282012,0.7308319345148342,0.5354189837637383,0.47919606927153724,0.5540136062214588,0.9109657163176669,1.222411335054535,1.2458885632658907,0.676093180229507,0.5991983620944492,0.83893600991443,0.6469502942798356,0.8772770679348144,0.555177833080697,0.5510118090317891,1.2849967141488832,0.5236636757873298,0.5274082942540954,0.6107655754490225,0.6745827009135877,1.213064356233327,0.5448592833379767,0.572286230222472,0.5000381830294305,0.6679874368319728,0.5093597353103283,0.4616805293638635,0.6197196939964211,0.46274765284979286,0.5905999364847022,0.5241238841126535,0.8084976271674185,1.1094430373533701,0.654883302301716,0.8387625082419186,0.5029624277611202,1.110540138781021,0.42022193150851217,0.45136024987955076,0.4012768236020071,0.4727622329850407,0.3980147285066477,0.47053325875939733,1.0226835316918137,0.40015522097473005,0.5654188605349075,0.3784965297382835,0.3878723166910892,0.46102721796858004,0.36814102539671517,0.4614304491999012,0.4306297091604366,0.691781374951159,0.5666918725285589,0.4583035254830182,0.4317484996669494,0.5284252886472067,0.5516651409140789,0.4171950890103415,0.3896941621750294,0.6536217208319198,0.4073394364899075,0.49228945646861033,0.33937503026153487,0.37307374176582303,0.5052474308587995,0.41100015543322416,0.6433027074307344,0.3541325862870848,0.364110871796049,0.6825095477778146,0.3311413505792096,0.2802792247154724,0.2298722078702965,0.31200245746538774,0.35596754129098296,0.3412846307700542,0.3520792297350311,0.3865116839823409,0.5102144458381815,0.4218925166559173,0.3882378997403091,0.361592006913372,0.33025167238105746,0.2645570200116397,0.2926561734871985,0.3634467341217968,0.2747513520483289,0.3246556321303457,0.3290015067846932,0.3790480368105673,0.4106760743645312,0.4689067167605039,0.3798409988378629,0.45181600284220796,0.3964480387533281,0.403720624693782,0.5480443848508225,0.5575594293092734,0.5654506003942866,0.43532349589005814,0.7424914366245298,0.6814280906629282,0.4288263267083914,0.361193715817061,0.3440665984486487,0.4128717278071568,0.3048171868215326,0.37190222559496583,0.25240572645299764,0.30759255870116625,0.402189219084474,0.5105815763346229,0.8126966123390141,1.6193803764676176,1.1091410650942466,0.4982237352257734,0.37822683942714735,0.3823499179307331,0.3149483614727944,0.31266462922007987,0.328404475438973,0.33754708494241387,0.3764553100111406,0.34198523127439967,0.5136847991212045,0.5283601937799917,0.6578182930135215,1.1008914981308475,1.0592356722378,0.9768464915664739,0.6527569373773043,0.4908483771496212,0.47757546928422717,0.3247375892153419,0.28720776006990933,0.3282429569955884,0.3579097572830779,0.5687632624504166,0.3418330458502652,0.343569789222586,0.6194058346841842,0.300188725541648,0.3348044271101242,0.37830838123153526,0.3972316411230134,0.5007886283301202,0.5510093834720512,0.766821266960323,1.3626261865832876,1.0035712164583213,1.0637808133936384,0.7647964886030925,0.7526001130706862,0.6670992456819279,0.5306447005244139,0.5524901442707103,0.6498938499806394,0.4488739376516692,0.43286577410839033,0.6249403332345602,0.41405632036949436,0.4511741641321643,0.4365618009869034,0.3910309966906854,0.4191009570051118,0.4444711173404791,0.4496262279384605,0.44058820163588025,0.5265226480406521,0.49313455256063365,0.518239159582272,0.5846601675541977,0.6497195845890407,0.672391556255174,0.7691327377902241,0.7798218993021114,0.7161794679670129,0.6838786077225157,0.5488527582903758,0.606292143185659,0.5895263670570966,1.5430500493836061,0.8480537732433214,1.437475775315398,0.6423606135285969,0.5800840163623902,0.5729492005058116,0.5895575435297827,0.5618190218185442,0.45822387965611605,0.6041787684271227,0.5728751064969365,0.5927090380578518,0.5242331584768288,0.8002684057495656,0.6782678238286272,0.6326410428008566,0.847913867490094,0.4723593287316455,0.6189944252711168,0.5074296628179125,0.5909753595543912,0.6912004730679129,0.83202177217497,0.8292262448647555,0.672056632464082,0.6182003424182589,0.7590848910242877,0.6836029041326507,0.6008011305613853,0.7792923987428966,0.9217610746876963,0.638229237092532,0.6540508865093333,0.8143006155812921,0.8272777627124267,0.6436855909678615,0.6661735036459163,0.5993481701455944,0.5812157200615177,0.5368488744670484,0.5309215782722787,0.5496946057519513,0.4979747380126885,0.48778452408209017,0.48319184985817726,0.5135259563459924,0.46689576556684975,0.4772469372561538,0.6566823535469075,0.5341340271655592,0.5498924898439668,0.6381470195602316,0.9263305447747927,0.8574009795427675,0.7103037513781832,0.9868492812176854,0.9940236819086437,1.011940290250159,0.7412990884648116,0.631106686905303,0.524193803445957,0.8043658681696639,0.6000275451782305,0.6970514190515759,0.611157041369814,0.5664332570436801,0.53498738699992,0.39945305846381457,0.41376373337854855,0.4099235348707543,0.49367909911574703,0.6086087371932463,1.4588985400505667,0.5201897116925949,0.4716972504743235,0.5371680065547046,0.7367798227895761,0.4333888046801798,0.6515059126066233,0.8711150976115635,2.101391618273528,2.9211385193872803,2.451189405582856],[0.5771347132750066,0.4543342084030794,0.45510041284723624,0.33216893695920846,0.38072475952764356,0.35610705114870733,0.2587783903124165,0.2816233933666936,0.3315914620117794,0.2998133684630721,0.2845839446149853,0.38403929062044984,0.2910694984745435,0.2968512828038967,0.35421815353839753,0.32557428517941217,0.38827471229304183,0.3679199480977893,0.42572743224962506,0.4081649393425784,0.4331973128470205,0.480562656242519,0.5951645505143958,0.7041016719763826,0.5572645101246126,0.5069544959403764,0.43643596430909526,0.3535556609518617,0.35730675044919363,0.36277966023644437,0.40118666272735487,0.36521638989942995,0.46879816077195735,0.3896877886261923,0.3425876293115431,0.3593264998994216,0.35118422739862387,0.39806140053343353,0.3834620014902816,0.407562730414077,0.7303743436071338,0.5510405466236838,0.5039020929660273,0.5820770954437949,0.9099219948314252,1.2123503287847313,1.2357531745455632,0.7050728548395435,0.6256520848349527,0.8578784750704365,0.6839339731980406,0.928827595426571,0.5871485695264074,0.5862575859975431,1.2758334418861104,0.5351921005812295,0.5558338352818141,0.6110536476784125,0.6525720647868039,1.2489607147026232,0.5877971362446606,0.5919939183713924,0.5032066563698242,0.6582538201624585,0.5178173934952546,0.47743217371584656,0.6414289961763162,0.45027045863461335,0.5761207713980441,0.5128157539140819,0.7776346269224872,1.0543099194091392,0.6292551946225311,0.8219865339260104,0.4770974029794131,1.0725812052048578,0.41031301461911607,0.4388094851604469,0.4001673974386279,0.48692164275777333,0.4125877415952453,0.48292427343159205,1.0273415612336634,0.4179825322633416,0.6104286487713037,0.39860198292858146,0.4008543071631666,0.4622377666237106,0.38067465968594616,0.44653477454379636,0.4274731783743338,0.718772201529064,0.5575996474199502,0.41218501925537465,0.38940249771286994,0.4829062622725003,0.5214290975059339,0.3850672859594658,0.3647467591721924,0.5945335533102436,0.381811434127643,0.4783469274395045,0.3469195939614693,0.39747123536494483,0.5254568248328941,0.43600795008574017,0.5850386549693466,0.3807196239791292,0.3676496736348014,0.6860883327926319,0.34148380219915847,0.3193698692048363,0.2824075109231151,0.3518339679777585,0.40719649793289014,0.36758106837598264,0.3686021567414212,0.4099434202216614,0.5263245102345885,0.42985141593125276,0.4105728759848059,0.37625284444962515,0.3522261435737109,0.3055692283266644,0.3318356127911156,0.3961611255561359,0.29371472591016384,0.33716230410838854,0.3584002958600396,0.4105179049656696,0.4425757021702826,0.4772793936715603,0.39967021677215553,0.47095578576719244,0.4077619653493228,0.41012923871989376,0.5579851460602115,0.5133985483956247,0.5753922023420256,0.45101413527715484,0.7563309265515289,0.689007729849297,0.46434219124743403,0.40580832373581915,0.3812902778878612,0.4472699738557173,0.3478579120536564,0.4035287537615669,0.30306931250248587,0.35142796282357786,0.41765572816926966,0.5265225106739807,0.7471794182811795,1.5602252722316101,1.1264590758081616,0.47141749077195877,0.38678451613461,0.3919792927681545,0.33760489653339815,0.32907236441557297,0.3930916679895381,0.37904083196890526,0.4055281270176697,0.38509526869780325,0.5247913055413762,0.5231631876280595,0.6155194190455322,1.0569917358337524,0.9852875031583535,0.9134392591513868,0.5878048252024716,0.48638363324723927,0.495909694940098,0.355694299523958,0.33651088625352393,0.37009414697171394,0.40221622825456854,0.585309784881248,0.3987163208738625,0.3891521671864995,0.622205104415858,0.34227294796962804,0.3636096156389487,0.4035875172942734,0.41409994934474403,0.5241179227885109,0.5701701495524817,0.7724980281193478,1.3553432383213764,0.9832437758347972,1.046496414644439,0.8084234507120881,0.7528557349517856,0.6756326655411694,0.5428837388460998,0.5607945286107039,0.6581994275161699,0.5020091521782959,0.48374700496223283,0.6761062217117793,0.469482277212066,0.4969723964632816,0.4843848850709003,0.44145256115352943,0.45015666929896486,0.480828520110408,0.47891411155187524,0.4464085545399755,0.5080239881684304,0.4942154446630166,0.5114559199810457,0.5505539707167748,0.6168305801456199,0.6615988254619373,0.7187369473961589,0.7492387233124578,0.6876840251332115,0.6454043937586256,0.5295892917396966,0.5575088365612055,0.5446494435170742,1.5623576393703447,0.7810765008309919,1.3789789633504081,0.6455813346665806,0.5884270911196376,0.5919225529148626,0.6534842022151118,0.5689231927702394,0.4938737616439359,0.6414124158907499,0.6213758093566474,0.5965094603624738,0.5602661854600874,0.9033904761912005,0.6856530122913665,0.6656873095337171,0.8474234699353264,0.5154482508229792,0.6917055718085796,0.5996967331803486,0.6537425616514428,0.7749321467268262,0.8303169196913551,0.8879699267619181,0.7414573561446829,0.6393602819743677,0.7858781916822369,0.7120570607684746,0.5972912327020327,0.7554062623981693,0.8851327977573156,0.610817869591231,0.6144374981105725,0.7606468024741192,0.7706195939402458,0.6028404056993407,0.610943477578298,0.5500548011222667,0.54790554400591,0.539188488811244,0.5357716010743041,0.5250553555247767,0.48911555924137795,0.5051428739605734,0.48315306173095857,0.508303227853729,0.48675389510858413,0.5125101384390199,0.6503490231941285,0.5499707856534695,0.5853082312226955,0.6777620074535234,0.9483707962249457,0.880976341451965,0.7129873323383147,1.0475631550027735,1.0425091718259414,0.8839232854567545,0.7182080309587364,0.6312380681847662,0.5330310237222959,0.8368889619066819,0.5960600960389043,0.6810277479108875,0.6521539655322705,0.5884878241011684,0.5536727516832587,0.44721879612550497,0.4803316116174689,0.4431679667584166,0.5289362891189379,0.6175337416540675,1.4531708313608558,0.5316145867128664,0.5027009484414894,0.5893390528090375,0.761998311318555,0.49094190101177404,0.6834170835016861,0.903696335705014,2.44673464319521,3.3870816178569605,2.9635905002334106],[0.534933404854114,0.4394327134578931,0.4616006068115956,0.3540341730581566,0.4614612727993604,0.36256873437050635,0.3407033398524902,0.3424540720956088,0.3737856275482527,0.3555027308035253,0.3328437562937431,0.3981973678867385,0.3682150647819695,0.34505791118434564,0.4018112853889494,0.37231663351296507,0.43828552513439073,0.388665904671984,0.4654058880960475,0.4759449183629114,0.5226618849692538,0.5923234917011758,0.6884353424482532,0.8438932651543444,0.705934922206525,0.6380609733240051,0.5837924305643148,0.4491320334843523,0.425562012416591,0.4104021818502855,0.4276594130530259,0.413451272893466,0.4742852897174975,0.42777316611947985,0.38672636511039693,0.4160104893933164,0.4325923843365263,0.48599841323134374,0.48485202518436393,0.5302908820041317,0.8194471208678761,0.665443689711014,0.6265513654416042,0.6299733320265646,1.0236795449256948,1.2714951802467165,1.3555867104608632,0.780825865461831,0.6752167721847611,0.9761560170263548,0.7829195567759227,0.9580697818304527,0.6410447261292631,0.6438890638299217,1.2862184054001724,0.5833824510735588,0.6143259359804514,0.7070850358764503,0.6978058397669622,1.3336110769890637,0.6339736342984122,0.6694739369187162,0.5534041886239316,0.733877438955954,0.6208973127106219,0.5435587112889658,0.6071387287449029,0.4428709359566426,0.5777064177353366,0.5356708817651974,0.7363944057922653,0.9556284517139948,0.6012674332006761,0.8137886179839374,0.5146964392674931,1.1174405554423705,0.45461726273977493,0.456008544522071,0.44001407830064304,0.5461176845667589,0.49094375410250396,0.5846611421590843,1.0079929713308384,0.5153107528698965,0.7581074405604624,0.4881663045768392,0.49130104624247534,0.5199933223521905,0.4457395862475955,0.4823433168881672,0.45647520286270554,0.7801773599070785,0.6128687031891241,0.44241544605099187,0.415126443953091,0.5289464172447967,0.575182484498286,0.4155788920694437,0.4111625915318794,0.5901725018253237,0.4184152468925849,0.4978613837824154,0.40963328846424485,0.4251015839377036,0.5801124073471784,0.5126271176075834,0.6248748743831681,0.47129741295634353,0.44061423469090816,0.6895798966321706,0.4148554113415923,0.42799675481973,0.373463162715031,0.43678332545962806,0.4383960369503521,0.4802951893570812,0.43331650009173267,0.4888294655358865,0.6005416455420703,0.43598744995142397,0.4382047593740038,0.4063756180741684,0.4472567047565145,0.3832600464913368,0.40078740162812315,0.48062733313914624,0.3685722172053108,0.4308875454518992,0.46532416346562816,0.5282963007145504,0.5763929582927777,0.5830203651611143,0.5248668937913437,0.5362817550403104,0.5169359213119554,0.5275167103711679,0.6202536613240166,0.5345221002881453,0.5350971524052753,0.5848730561243813,0.8352939435124545,0.8248504678388171,0.5249286789029863,0.4861885062598004,0.4792411349270668,0.5170612419159611,0.4536791127385707,0.47296256154575245,0.39398228120702117,0.3900554884402396,0.4362594285554262,0.5428587447226533,0.7314702239205121,1.5072696873768523,1.102962212173519,0.4731074545637074,0.42368010609202034,0.4167898714830016,0.38738703463065005,0.38846195943931705,0.49280731091098795,0.47346099626778126,0.4927152308596658,0.48769724002254056,0.5686792871722988,0.6172949905022257,0.7508710853880654,1.2143510495747203,1.104921078578359,0.9829275419528798,0.6974394845821504,0.5827155252589126,0.6012612424515887,0.4665155534991622,0.43400687819516015,0.4426842319264056,0.45917321494351027,0.5873954793053614,0.476464293105865,0.45867402938367124,0.7009916127835271,0.4515416013324829,0.4958990140471903,0.557791310469648,0.5395798074654068,0.672166100773708,0.7249710810307195,0.919126235049595,1.4737343563946437,1.126864198133262,1.2035054681929076,0.9434562480302398,0.8632845700505297,0.7972267372942288,0.6866801242334469,0.7180111527262495,0.7972990335612101,0.6781640327565893,0.6118073701767612,0.8051409512321993,0.5636631877391975,0.568152727819898,0.57318867853486,0.5136295963723733,0.49540488724792453,0.5120590882189878,0.5306814186923056,0.4769746808649267,0.5090073470981902,0.5083793991947265,0.5188221832773686,0.5590792372205494,0.6258829332640082,0.6705376290174985,0.7695497365825051,0.8146639818675145,0.7036358847699097,0.6833583861903039,0.5492275590518727,0.5698015551946527,0.5679488111109996,1.4263925691165542,0.814063828743827,1.3555110278916083,0.6731228478692574,0.6105086764646867,0.6416318810980658,0.6983135318906091,0.6375155243972037,0.5515913320771261,0.7230622657157382,0.724292809388576,0.6885891316378798,0.6689421803504444,0.973610571356413,0.837888120374043,0.777539660618438,0.9417638944351014,0.619435388317972,0.8352155501321967,0.7026259369839551,0.7186979084801904,0.8516778166404112,0.8412888129300532,0.9248768931824713,0.7944747927169862,0.6686673723706136,0.7896983266441833,0.7382526821407598,0.6066485639099766,0.7340830480609518,0.8681474715800758,0.5989382020519483,0.58579361905033,0.7147822753194123,0.7597948830059112,0.5911303990804336,0.5932597186633713,0.5460689760617939,0.5509643745499876,0.5570176122099489,0.5564232299213584,0.5431385590986564,0.5120093522621059,0.5315907295209366,0.5129202392559309,0.5257416849322057,0.5357625596433031,0.5558812107685858,0.7087875966319379,0.5906098078257525,0.6676493662426677,0.7711640183130772,1.033422318340862,0.9391046362712628,0.7387508557825218,1.183576185828828,1.0644604665145216,0.9208094501892444,0.7644615864231891,0.66561351886566,0.5675732256040595,0.8304007816392334,0.6014875408228068,0.7029982760927842,0.661050692046866,0.6545860631780855,0.6274046607344468,0.5631448737157437,0.5563460470781266,0.5131602336729931,0.5795459340741109,0.6211174293310949,1.381742730821883,0.5802282668918258,0.49442088100456233,0.5401621316097134,0.7906149705754385,0.4446898445316708,0.6889346366288631,0.8583817800535968,2.1551329927190768,2.9007001565881914,2.4865555082927386],[0.5866206949879396,0.5017491131514066,0.5458909215770968,0.4300114385827481,0.5235611844171805,0.4745225133429539,0.45127903463275565,0.43726391374926155,0.46434468628453607,0.46502585259621565,0.4745071798040725,0.5316970052930947,0.4990537927031665,0.4887634255488259,0.5583050860741858,0.5046365335027535,0.5289431742887414,0.447129139571042,0.49311390996943316,0.5121995568352171,0.5410803767004592,0.5994965368211531,0.693093969049398,0.8606666216829788,0.6990425028437279,0.6554389081273728,0.6166998585697118,0.5020700294013493,0.49813524312489293,0.5177624032533763,0.5119608181439648,0.5263781068003309,0.5804627934695284,0.5411183230567077,0.49751926120849915,0.49684535819735515,0.510495205086186,0.5345850942216305,0.5564305883905425,0.5780195454807538,0.8132280138520506,0.7032434927750799,0.6687742862221827,0.6636311380518876,0.9966428726526916,1.2138850034290045,1.2916003735241501,0.7809077907897345,0.6846780024533868,0.983896176964989,0.8372706751675651,0.999546196870557,0.6749246657603595,0.6870314965130374,1.3037968002967815,0.6102978374612996,0.6209458920883817,0.7464729953477184,0.7073637884608528,1.310346388594459,0.637337750112706,0.6733340649524082,0.574557280087523,0.7660111535873696,0.6204827892994633,0.5565712611362772,0.6239944977407093,0.4779828995710659,0.6210245523057085,0.5619756276372601,0.735462644828357,0.9646343293363115,0.6091735627977258,0.8226494998115721,0.5687729199086639,1.1720501381581432,0.5013009166489975,0.5156522896102782,0.5015384100560021,0.5771473813770608,0.5493293311980453,0.6665131007042944,1.075307433072946,0.5780847543229084,0.8069389144487376,0.5561368238522778,0.5614859267181723,0.5849049453616739,0.504255708884584,0.5730995144416348,0.5323272449027339,0.8502668033123907,0.6786814274976486,0.5382531039250243,0.517153182271067,0.6228541431550055,0.6978502818628581,0.547895284782467,0.540841596368471,0.6571208849287477,0.5390738848014217,0.568229938162959,0.5260526139885596,0.4988707483429781,0.6012729750909073,0.5636756357870033,0.6566533587513123,0.5434110824774445,0.4906940362405826,0.6892309351446206,0.4964997177055908,0.49494577249923616,0.46430073079875167,0.4743876855939137,0.5052104341305688,0.5336280719291876,0.48741779396424467,0.523172318206674,0.6366278292758273,0.4795605110582604,0.46651829003235834,0.47307082789773197,0.5276023276228877,0.4585531293026458,0.4342392052219228,0.5058213080819443,0.4275687398757648,0.4663031645650944,0.5187249070919838,0.5790676212175729,0.61566566233253,0.6136420625626707,0.55762150723149,0.5548681588443276,0.5454611143471965,0.5518142134285678,0.680100766646202,0.5315499796594798,0.5763116798663185,0.6001127841699635,0.8525147780574881,0.8109767939978173,0.5593379409596901,0.5169832429483773,0.49708133803907834,0.5558373299941656,0.4992652611021316,0.4955540696578587,0.4789696798176536,0.4652839560975532,0.5094709333828843,0.5836927516526175,0.6797544361054387,1.4571311082620115,1.1694881623540554,0.5726862921461382,0.5485867052163105,0.5147099125103386,0.5066492616809246,0.47696332143565345,0.5583498783618386,0.5170378289206903,0.4973135093542612,0.5046016268634737,0.5817501804973351,0.6181469206108288,0.6911558899499206,1.1600903676481666,1.0344216817143501,0.9346545467616086,0.6447551289524704,0.56756362635645,0.589927107242229,0.48841717521465094,0.4851891017205321,0.5219168425677138,0.5475317079111656,0.6736833645349922,0.5332896331256384,0.5332025270664823,0.6811734744873819,0.5060128029420242,0.5247579391846796,0.5738101463969278,0.5701087801400917,0.679189667320437,0.7349097773543454,0.940054599823793,1.4319680276589908,1.0602660914057347,1.1386375766883765,1.023151809825226,0.8926822310705615,0.8084656594298899,0.6980481373323054,0.711568763473771,0.7922290212347023,0.708228816869408,0.6386280260753417,0.853974801498533,0.6367573983617186,0.664038990539507,0.6467772076068012,0.5668843783237746,0.5707783246209484,0.5869458633791325,0.5477031115832318,0.49965056061813445,0.562426876407697,0.5396921960156356,0.5229254870720799,0.5530326033809826,0.6188639249234328,0.6629467096165198,0.7183074171396133,0.7557911829158684,0.6709536947497657,0.6444860610654614,0.5529782649123978,0.5507596196893206,0.5546041718823894,1.4985092408895593,0.7582221335161278,1.3308564932852773,0.7241347623763458,0.6908398180128311,0.7085860157946895,0.797194469280175,0.6847937854546314,0.6235723581374154,0.7801452536616592,0.7652868364834838,0.6765583167719668,0.6843419689512995,1.0539490833119696,0.8116165934712715,0.7751183931511878,0.9254279146719707,0.6398723752157142,0.9021632725694722,0.7919530402518342,0.7959796098805172,0.9355033878854888,0.9078372171557094,1.0217914185378723,0.8877380442658868,0.7721601583044468,0.9210855251245132,0.8426474411278972,0.6972181812705175,0.806847960252862,0.9074323785677575,0.6472854820316616,0.6388623251862102,0.751941688449332,0.7711939872333557,0.612847835152292,0.6124272610036373,0.5730860247971039,0.600855239085181,0.6454168970365435,0.6515290681700935,0.590880419454816,0.562949411285952,0.6035492043274946,0.5574569358465326,0.5627287613736376,0.5683178405595053,0.5986817428112945,0.6984889759697136,0.6080338248928041,0.6761362435510277,0.7845962293625428,1.0344637589285735,0.9487958752063325,0.7499374617241582,1.2224841774809443,1.1139903976108638,0.853351568644823,0.7512470599379233,0.6568943843945825,0.5735369550650306,0.8825098262735918,0.6043406105446575,0.687853454375059,0.6900459431891302,0.6741635629229112,0.6498650232013586,0.5997638287326207,0.6271003618115227,0.5612045596383128,0.6569748729149052,0.6915397078921407,1.4214171825565198,0.628394535353118,0.5744248645375074,0.6713978022683297,0.802793033269404,0.5370610476678768,0.7195450197574316,0.9254166564430903,2.542281445325071,3.542925939787689,3.243941617443364],[0.7219383175853473,0.6763807014339468,0.6853655661727764,0.6335454301142152,0.7008083913190921,0.5897943571287722,0.5756204007979414,0.5472454159039395,0.5266571047494173,0.6109882229855853,0.644016580781146,0.6714757168605534,0.7639324098312765,0.7648532385206122,0.909517595140192,0.8772127407761694,0.9591491288686225,0.9645437654860619,1.0644118740988682,1.0591548336408185,1.111889570373542,1.1300574178048166,1.213120981387484,1.3769721186612798,1.230527414568706,1.204895730894653,1.1397669199192695,0.9956800031889763,0.9672141856222437,0.9107633203233578,0.9653771771841134,0.8921261056803224,0.9439852265318194,0.9796014306519255,0.9662226111640145,0.9877074237168513,0.915797349754549,1.0061842465382873,1.0472891469498835,1.0608837159745754,1.2493660071572936,1.227333649957449,1.2029782519750787,1.1733731964928482,1.4498708174520614,1.5497991315751563,1.6744030079570407,1.2475786900078403,1.0874378017809172,1.4000231553088596,1.273139914924845,1.242118447967029,1.0925095539509828,1.0984355064489115,1.5278293143947133,1.0599994989942045,1.0906775722641042,1.1887180879665307,1.1466473298344362,1.6286580493112612,1.1283344292978295,1.200029650133313,1.1290900374427626,1.2867571805864846,1.1650045887117824,1.0960711695598928,1.0850367768149363,1.0233998046303334,1.1598902134188422,1.0049911789751707,1.1392173480461703,1.224144268985027,1.0335163396448255,1.2685489162665629,1.0578946161142373,1.585836189463579,1.0442601357618484,1.0283891446088504,1.0185241612537348,1.0921834479249035,1.0273564162696511,1.1336294970265475,1.293180751879937,0.9729637585185371,1.2017510420658504,0.98350497378498,1.0570072991565467,0.9988069729284972,1.0187732146299346,1.035244253474857,1.0098668863688522,1.2294383201992152,1.0837058198800298,0.9845872906093971,0.9118864513240854,0.9713397377185725,0.961454231681791,0.8547127029880495,0.7760799409622461,0.8219278182406039,0.7957389627864293,0.7497425117164938,0.8284395337577789,0.7318088901566776,0.8241899363962419,0.7595761474069646,0.81164321705571,0.7674984312457749,0.6831976679178843,0.7842952917516813,0.6672828271502277,0.7109571421839281,0.6582118242090518,0.7091477256379853,0.7508156439207728,0.9008002540363584,0.9363787756991115,0.9852083235911768,1.1594567030679968,0.995976292542947,0.9904418765913138,0.8621243928223074,0.8980255383886901,0.7360280760109748,0.614809396620767,0.7055952287252711,0.5900362892562465,0.6855568435132585,0.7266283373025134,0.8138372313290055,0.8579537792078143,0.8454754194491385,0.840497125221176,0.8221964419091311,0.8390093925636025,0.838216116897583,0.9062189671859355,0.8133488090524774,0.8245476483830909,0.9625823721628631,1.2033383941181444,1.259050737030724,0.9853483211793042,0.9305337677091704,0.9190980668193042,0.9461185475853302,0.8810897724543361,0.7886552997615144,0.7486633498521089,0.6634133488859026,0.6782507642761711,0.6835135666906718,0.7664940412809705,1.5452777412177183,1.2592792023046366,0.7110922341817602,0.7280068263907878,0.7141452510278274,0.7710211994927493,0.7251790511765415,0.8591350719641561,0.876671165329995,0.8648300289525173,0.906399872784962,0.9437981874549715,0.9597504191530238,1.0084949065932745,1.4274391737745928,1.2642057543216976,1.1341315015100866,0.9227820286977174,0.888796956012536,0.9061148151170545,0.8339968143219573,0.8356485941762961,0.8419479272151252,0.8657751924051347,0.9586294785032138,0.89790966224511,0.863321953228361,0.9528606790723232,0.802918547367169,0.8462407394381174,0.9343294040854863,0.933647212378047,1.0972957682533473,1.1816140264270798,1.3614608267438224,1.766965615368918,1.3897091960690957,1.4392089481701102,1.356099608946503,1.1565213054325092,1.0698494829348704,0.96485401273822,0.9665016852689685,1.0107813449674063,0.9532304827980477,0.8515975758488739,1.0349189348561154,0.8156309889339735,0.8170068314795257,0.8122317891190227,0.7423947584552774,0.7308530936028295,0.7332119221425215,0.7437091390665531,0.6936495901260558,0.7037085795871402,0.697416705069473,0.7099908068546679,0.7312240743589608,0.7712271403280452,0.8265044403453429,0.9351438918059577,0.9773007336241787,0.8698771107997691,0.8522407708614103,0.7396219812861303,0.7395750771119893,0.7602717582209064,1.4532774549336747,0.9613639378437993,1.4114734427620188,0.8597417228215477,0.8112471859060975,0.8289134020898944,0.9110070233781881,0.8159606310216944,0.7715556597078271,0.9554814774522119,0.9448781727966815,0.851921079165405,0.8839156558381087,1.2277774764276654,1.0329611842406794,0.9426679550681271,1.0688465496384767,0.8495219685915287,1.1083768903811642,0.9677760565065895,0.9181399935181108,1.062050169852459,0.9880514270128391,1.1214541537219573,1.0034445038707396,0.8621676157036449,0.9872707637041054,0.9310741753595413,0.8085592359888547,0.8754037028689847,0.9689709324500315,0.7524504753624592,0.7415058242414225,0.8310764119975054,0.8586710726579236,0.7515393759421161,0.7524890766967678,0.7146834019974766,0.7246686476463503,0.7687351122760985,0.7842605521911556,0.7296427044858178,0.7193451136045124,0.7553276171372966,0.732084328887866,0.7349825553254996,0.7503591508590427,0.7920099323823986,0.9046796226336168,0.8014891807308211,0.8696710987013034,1.0277456849421795,1.2559101143934337,1.1494430204526411,0.9509876974188863,1.4472094344901227,1.208707110530741,1.0720526052575285,0.9762078970263368,0.8849382904917519,0.7983899280577366,1.0681808134794797,0.8044499812702632,0.8778589069340372,0.8591526033827748,0.8472896754765855,0.8187459320829577,0.8067922689508032,0.790702405479929,0.7328501982137414,0.7860187176228732,0.8030549953150091,1.4804403912439277,0.7528233605988569,0.7020479596046489,0.7371772165626911,0.891217770319413,0.6649087894044687,0.8511351813406859,1.0315139163259839,2.418375277251585,3.29009961393558,2.9624596870734865],[0.8899699003518162,0.8529890988300914,0.9673931375479653,0.8416417965554621,1.0600028519883045,1.0099148486510507,1.129619200984495,1.2562272581264247,1.2232470050647892,1.406301441962867,1.511499853616982,1.565167115193345,1.6811768789380084,1.6462560033314368,1.8724957766357586,1.8474349139558954,1.8586709986074275,1.8328589161642341,1.6765548551672675,1.7061604007976798,1.5703431762804656,1.5288944822080073,1.4368810149688067,1.4820576891174744,1.5135592261286501,1.5612136888363615,1.660024512374404,1.6631695100944113,1.7983575462403938,1.8446783762061054,1.9004024244834177,1.8828488145360942,1.9037420012380022,1.922815167875224,1.9109757800362532,1.8660077915277584,1.837362938763785,1.7392989673421502,1.7052028670715336,1.6535902503251438,1.6623182985036473,1.6949182377564813,1.6569241801704113,1.5372955431246995,1.6600479045359329,1.7101303764432576,1.7973040320714666,1.5104138593637357,1.4427947787943547,1.6577213946209073,1.6251430073947561,1.574479112244055,1.5305961654183153,1.5559766793046652,1.992003146979709,1.5389917622000386,1.5320728916605946,1.7811496242609262,1.700513697908339,1.919087004690403,1.5595807825998704,1.7219268988476795,1.7368541518716476,1.75114308827133,1.602184685666538,1.6582347217070341,1.6018778539162364,1.7528277135906758,1.8089948783201202,1.7843554222152993,1.7907413171134283,1.676910129653965,1.697239237998034,1.8152268657002908,1.8084979942650081,2.14959780587249,1.7462571603409547,1.8021955755352925,1.7807514168188112,1.812026006954579,1.8142619758708425,1.8678374860525273,2.010681980415955,1.7192797283489964,1.8342420661793852,1.753707463823297,1.7742820073019825,1.8427369857580063,1.8172681810277884,1.908761759372063,1.863545854005337,1.9581146760975006,1.9216439141777917,1.9055005437346488,1.8829510217853778,1.8451334444999565,1.8092340007167778,1.8423121711241608,1.7577532686570947,1.6899319401482993,1.785779081607388,1.6806777848728607,1.7484595243719947,1.6240797073025677,1.6035498774367063,1.5217381606532685,1.5178009001432686,1.435435674444212,1.3201909384864652,1.416837504460957,1.3395328511289104,1.438631348854111,1.3746750423730063,1.3943404184463932,1.4845098765808387,1.4694773101884766,1.6117617810502722,1.3990343060246682,1.5307204536585632,1.7522553462802357,1.7484365851572516,1.6540008458502302,1.3704150289374035,1.3013057780887165,1.211058267209127,1.2544834090491794,1.1876860891851482,1.2677381742696034,1.2944447856017258,1.4400186019782553,1.3606993464701247,1.4036025772326022,1.367855100715643,1.463018038287006,1.37339456488542,1.3815104855335838,1.3459336059234466,1.2580687980179246,1.203597387673993,1.355783864732138,1.3854712648451952,1.4464306121756543,1.3122046482403988,1.406852385085756,1.4137566244207493,1.6297499522463121,1.5875827346463405,1.6006096162571903,1.5598711059124422,1.4949225053456776,1.4995115343656886,1.4444581268439625,1.4872782933082034,1.7809431141582437,1.81109087310222,1.6192908110548074,1.6501219756928813,1.6134195748589177,1.69012799915582,1.5564500906554641,1.5713452274567454,1.6378547530516234,1.453284342173801,1.5098850152709775,1.415718161558633,1.3029390804598175,1.341816942654593,1.6349843039205854,1.5129635014363239,1.4319487221101612,1.3173297548944152,1.3679209539709065,1.4401095062257203,1.4783727754737743,1.5738350295824495,1.66891743029931,1.7173870775898115,1.7587493930142049,1.6614420195667141,1.6338350346058046,1.5523289681663794,1.5270621931942088,1.472895234952479,1.475378355867461,1.4347800033909388,1.541584158791483,1.646442994599026,1.7167714553870528,1.9160326385877247,1.5905618227845335,1.6205756072213562,1.7356595125675272,1.4900614021781744,1.417493127842312,1.3869640442638533,1.386493552669021,1.4193936244661023,1.4084145588763373,1.3103545653260797,1.4637574884758395,1.302786507552517,1.3364788121670275,1.2868035630555328,1.1616896241324317,1.1618790931502034,1.1349856422712195,1.027388114981802,1.0007678293120679,1.0595186251520234,0.9827143386456251,0.945631273184411,0.9528786086987666,0.9738557336344139,0.9827604765545233,0.9896371930600691,0.9968859358135894,0.9800470961313047,1.007285574233508,0.9893562561630903,0.9616326406241038,1.0115644955294623,1.6588001890497583,1.1107565586530688,1.5428544515949727,1.2328803781267113,1.3213571984283372,1.38951492817551,1.449109276600045,1.2765183037748336,1.2557137288584157,1.4322244710952718,1.4450646029719763,1.2719590115936636,1.3330676977927862,1.6381408872868373,1.32841142626766,1.2460781787895672,1.4549061572495747,1.2640408825699037,1.5621576398130805,1.5042236851725541,1.48578505047817,1.6539126650681644,1.602431495237116,1.7185643704140845,1.6147625740259088,1.462742388300184,1.5740184207268884,1.5078839780713595,1.3096775673177252,1.3703202029874095,1.4159737523596483,1.1776525592649196,1.1670745690087752,1.1971076552690847,1.1369529727731589,1.0215488628550835,1.0436565718856197,1.0242841399531006,1.1307385513065693,1.2356185231855317,1.2449222463001364,1.1089459549718204,1.0607752726695623,1.1656118383946872,1.0893189975376734,1.053806491491843,1.1086409427454764,1.1351844853104713,1.1467216741538797,1.0724286479544733,1.1949971771905716,1.2773699360133086,1.4809378916663285,1.3799536222112634,1.1969541971705229,1.7311434421627305,1.4576277958375443,1.1393708899773791,1.1346047146253992,1.0508379730507815,0.9824241296965976,1.2384695997811248,1.029613555722435,1.1053057191414681,1.0993001458112548,1.1213155834419335,1.1573266917512428,1.2458313504758967,1.2360423307418558,1.156609541838749,1.3156751488555625,1.2733166556835747,1.7551742705138138,1.212959613505488,1.0876337205305233,1.1623655928979495,1.2579905982143105,0.9542720442928028,1.0607694330563782,1.2118872208288833,2.686380854599543,3.7646004138434157,3.5524303886915547],[0.8147219831493532,0.6985526818460785,0.7611636552367883,0.6465121353336495,0.7850430747498394,0.8028649671553661,0.8675875113379055,0.9569163871194701,0.9498598270675369,1.0416789601045935,1.1255464960692823,1.1400629223700034,1.1813572317830132,1.1782600160011574,1.3148858167152184,1.2707660411712003,1.2335954058021084,1.1306797671966233,1.0029253642732254,1.0368156624984852,0.9605900740775472,0.9720932529052095,1.0106688092746021,1.173362399707553,1.0177455029527205,1.0408954307403915,1.07200016068963,1.066230283602978,1.148144962747429,1.220028967879864,1.2538002639598957,1.2670181591545455,1.3321238718854969,1.2680135705983318,1.2455695862656282,1.1779099166902696,1.2073856806149807,1.1185485576813983,1.1314605262116746,1.0857237495227106,1.1905150818274355,1.1173070104245235,1.1090013034528003,1.0847629899150935,1.2880696748998528,1.437181757068374,1.5288551975072595,1.1149196258185137,1.1026598759148165,1.3448222455657228,1.283008923893393,1.3346335110957237,1.1168141090447845,1.1248380326115324,1.5234689681971252,1.0695795324129482,1.0332289075243182,1.1714767294672024,1.1161159371386007,1.494780008141081,1.0108911502558773,1.0884717357938591,1.0747735477606304,1.1625152409214656,1.0096339233611236,1.015478317718258,0.9622052635811725,1.0310639348820314,1.0999969483616088,1.072082620487371,1.1217950232596987,1.1305573384743037,1.003351750770338,1.158910885787316,1.0906256906839213,1.5888254203981351,1.0637036624031941,1.1086546693493997,1.1093964483006278,1.1662239001493626,1.208320854325054,1.2543499247536853,1.5527685095835004,1.1537027615970903,1.324848642554749,1.1592699195472156,1.1606203028460382,1.2552006134214682,1.1389057335793962,1.2148135534024944,1.162909494394281,1.295107989196286,1.2710827607526776,1.2988956959898796,1.2736391935384588,1.3344783129437916,1.3525460504980062,1.3078371710734857,1.266325387463311,1.3222398823035695,1.2595903672429565,1.190861694675433,1.2141885428598733,1.1554739893205515,1.1237329979486654,1.0855178898204572,1.1261807345530643,1.0552952998863632,0.9670352028763198,1.1327534414638927,0.988871546736016,1.0349234508664364,1.0151649819285182,0.9975813919699325,1.0519620352103318,1.0147354270707079,1.0573322955335385,0.9505637482403525,1.0499204807348175,1.0921307262032367,1.0723589138149832,1.112625488792871,0.9586862671674911,0.9243088110056644,0.8776197180882985,0.9027982561765469,0.8695226875464371,0.9087318633499699,0.9562161233961128,1.045011383808754,0.9986743280343311,1.0193027878508247,0.9807308164588053,1.0616977027099304,0.986798570547356,0.995329017062657,1.039511914022495,0.913100311785807,0.8916063584083157,0.9856249518905857,1.1145137741926079,1.116004812405931,0.949247140584114,0.9723479962530086,0.9610945554265173,1.1135561425269975,1.082664520740349,1.082436827223288,1.0925863714379838,1.0807107558856257,1.1083189731504919,1.1138367382563903,1.127533563715105,1.6996662832295943,1.6068310188513986,1.2113867694968978,1.2006860986286951,1.1583897367120497,1.1769905261103677,1.0885909926868604,1.124618156174281,1.1026269911725133,0.9987064075506489,1.0327846355947694,1.066120509336579,1.0029559218636657,1.0078772065466297,1.3565830570736486,1.2362955397744761,1.1515734422729538,0.9841695365781425,0.979830911553673,1.0317332295505368,1.0094834690180314,1.0571522759241172,1.123860626232357,1.150126370845179,1.259263917334399,1.1166791515106855,1.1324256023337458,1.040791254672867,1.0576299778258147,1.0317460732777946,1.0605601847006716,1.0275061725809518,1.0737850986728092,1.133690100298867,1.294618954229922,1.6424231117627772,1.2584789396417684,1.3351297175371601,1.4278770653144968,1.1761240092200835,1.0783909723600769,1.0132334865076857,1.0146085458225007,1.0667027517623247,1.054205821061809,0.9835849073520619,1.1539778055551568,1.000178685943284,1.0408213448556083,1.006633320357121,0.884890823077382,0.8980189391486668,0.9009288573493126,0.8049995337181924,0.7592614373017162,0.8453578208054011,0.7790740198488779,0.7223769572950965,0.7477235094915377,0.8033018414737243,0.7796623275024973,0.8060252181120346,0.8394064543288052,0.8120586036943006,0.7585745695109464,0.7230708097699875,0.742689553422913,0.7624038048063214,1.6550660770264414,0.9070082624293238,1.4500967648730303,0.9891214305782827,1.0385588042818423,1.0813198272894464,1.1626833991216927,0.9813740231448019,0.9573216532536213,1.1036671984957522,1.1094434854045159,0.9811427814208894,1.0228154865865517,1.379772235188213,1.0534918143331649,0.9824873067255443,1.2060028224886306,0.9612999476184071,1.216678303979829,1.1881571918456504,1.1957247961859696,1.3689036521939373,1.3363359738786884,1.4357182967100939,1.3326355222381048,1.1832255535162999,1.309893617440714,1.2237195131146943,1.0612193504396654,1.1647140109659393,1.2291010282949801,0.9851248021898951,0.9782446758506065,1.059878908877727,1.0146741888779631,0.8613157765949859,0.8761281046987239,0.8364451644838634,0.9055175055826771,0.9870948607049508,0.9851452503488656,0.8750701393398214,0.8282954278204114,0.9063767791418401,0.8262828435134638,0.7997785562930417,0.8434819093603739,0.8787099135893416,0.8936225484760747,0.8039911159334684,0.9089042896140489,0.9537070827269162,1.1520300771046326,1.0678956790818048,0.9048237255591766,1.4019282464293719,1.2378010535295696,0.9229171203901207,0.84575094711893,0.7922697388525133,0.7102735130603468,0.9650483287150854,0.7671287958109893,0.8274315664431557,0.868121068016802,0.9044711896202888,0.9094719609544437,0.9385030997882619,0.9544412498821908,0.8845349386897099,1.0358795549920323,1.0333418906650562,1.6224088171442024,0.9432181782361109,0.8850061060772647,0.9898312722556804,1.0309343827340411,0.801479653395466,0.9065186476220443,1.1939087164147328,2.8883858624684997,4.12097802577906,3.9993305763857685],[0.6484125851265969,0.49023157254086797,0.4972567913313068,0.4045999117884832,0.488358844605736,0.43264434635655846,0.42129819057964957,0.4474558665823406,0.45310714242356814,0.49107080938714726,0.5513859825000881,0.5904157417681204,0.6096838494039335,0.6283266767608123,0.767986214810216,0.7262186090360089,0.7465895509909575,0.7179096119346711,0.7635709547008571,0.7560447126093048,0.7778098652900872,0.7931351031141194,0.9038745233512077,1.1133567910627438,0.882985102849008,0.8750128613792548,0.8070250812064416,0.7092862915013737,0.7149734128345754,0.7152751262377562,0.7963416470501395,0.7383488531786055,0.8488877584491209,0.8103799962175775,0.7620876722379822,0.7423658882915254,0.7116122187029343,0.7447184895789595,0.7659536034235319,0.7546593708873832,0.960867935107354,0.887864529681203,0.8799276483799897,0.8901466596959273,1.1723217010444031,1.3325515235626795,1.4208802019250082,0.9805510431564676,0.8652588438543262,1.1483857733065772,1.0430975854136286,1.1230358677103194,0.8579350112712396,0.8595962075521733,1.3775137323264939,0.8199823631868073,0.8193163644918446,0.9180535986647985,0.8850039732969802,1.4110718416672294,0.8376101154248202,0.8878915238208044,0.8267687090028553,1.0142855328814282,0.8509474706159864,0.7784237501242857,0.8374472828089808,0.7577203513975915,0.9232050075077478,0.7793297984295655,0.9603520612070101,1.0736286933365664,0.8227744367471526,1.0828584452398033,0.801005504372424,1.427520441830501,0.7752783961526308,0.8033950023947886,0.7645213705370772,0.8365556434041023,0.7955875810396059,0.8728974526761465,1.222839521057616,0.715933282537902,0.9382435940598273,0.729292473735955,0.7875833849750908,0.7990636286962821,0.7621622726511612,0.8073894348535354,0.7954687266256601,1.0647085128179452,0.9387639105728681,0.8579329487025392,0.7897496161552097,0.895450278776829,0.8802958015806145,0.7581723045453658,0.6849734798631711,0.8260133043542484,0.6822177105874616,0.631412310122646,0.6533782061635623,0.584448165200741,0.6238866541914379,0.5949042748492273,0.6824696193458338,0.5607057227131516,0.48673730330354303,0.7327172966317768,0.49540942391652737,0.522566633535458,0.4951875421002295,0.529863413755545,0.5906983933885068,0.6346148920363163,0.6665358072015021,0.689891416649151,0.8953335722480191,0.7406527357461463,0.7258843234108643,0.6598230383563425,0.6464319675976735,0.524545350078453,0.43887667924407336,0.5368001174773095,0.41559822972774957,0.4867346166409114,0.5304813805601576,0.6037014223438042,0.6325045594542896,0.6358901805697891,0.6057103386761811,0.640524571424676,0.6108760077902047,0.6144719198536227,0.729289113967965,0.5929146958404835,0.6266112005732282,0.6939870788462885,0.9740711288972309,0.9854687111910748,0.7214347017502524,0.6686079822714336,0.6491017765881084,0.7165701867935927,0.6382283305844719,0.5946169935383957,0.5586266719918151,0.5215567924880561,0.5559066055829228,0.6401903046519056,0.7231312892139555,1.622566900806374,1.286628266263489,0.6640789060010749,0.6285023801254879,0.5831791020093774,0.6146786692427832,0.5524774562055458,0.6406567547427281,0.6498054816355515,0.6250874076767228,0.6513771412581577,0.7140631538288718,0.7344058953137363,0.765494431371662,1.2283687757023578,1.0820149397168164,0.9724070086420382,0.7056829167908242,0.64867253679651,0.6641172275782337,0.59000637019456,0.6019112794096257,0.629034420492504,0.6683480355484445,0.8232481326226367,0.6620882483084068,0.656425048638845,0.733948701594921,0.5787697299206536,0.6055112518411074,0.662675122262043,0.6719733836024693,0.7882289445280097,0.8662011168000037,1.0721748514282319,1.5393043467691214,1.1332344239137122,1.2094206216913845,1.1431368561190154,0.9541520507904232,0.8480566819267614,0.7327182047162454,0.7440960368070935,0.8045848729900315,0.7153046141005417,0.6321883311273926,0.8362453584415588,0.6102870023684512,0.6346720021359293,0.6160668774559246,0.5274792738542894,0.5254992222951458,0.5469461853813722,0.5380755141837438,0.4778584027624773,0.5375602168752173,0.5137047000212112,0.5194667288246206,0.5589714577899185,0.6316686147396041,0.6760585908319557,0.7659950159301414,0.7920861745805406,0.7135296015901912,0.663278775071921,0.5375310766841066,0.5662831199625328,0.55237269325374,1.525536387943539,0.7714972794355905,1.3434131301716496,0.6829071508349082,0.6575892328150095,0.6754734143844122,0.7671668026175821,0.6481208781280686,0.5889208335225389,0.7602711933481768,0.7471324386663779,0.6551205461775217,0.670822504103023,1.0356557636023405,0.8180855818948504,0.7610960269662628,0.9404693327033937,0.6310582824489486,0.8767876012829419,0.7876413319416874,0.7942823512307736,0.9498822962601732,0.9328156706724553,1.0380117773302358,0.8949326093011987,0.7428505768391227,0.9064935398576007,0.8254252010481224,0.6677280434579236,0.8071118625027849,0.9177637637503523,0.6378715274341085,0.6370374670212724,0.7901908310296093,0.7989551380406466,0.613999414697111,0.6206517486237191,0.5667125518690018,0.5691642042951846,0.5896674678616555,0.5931275198787832,0.5487291069785438,0.5159507788697112,0.5595982099455987,0.5111519409097856,0.5208559771476989,0.5341079020965732,0.5616749117854659,0.6742331774743509,0.5761631656313139,0.645803838705186,0.755407955846507,1.0359624819547477,0.9477967118959224,0.770913917267427,1.2436969431005718,1.1180137116405364,0.9131650455417575,0.7807387233596617,0.6801669657759366,0.5844914342477879,0.8728873977594663,0.6244197694364874,0.7162718812538703,0.6730475057179424,0.6619508165810123,0.6211304542086499,0.5771018651936888,0.6077264221709295,0.5205172245238602,0.636149288797724,0.6994484716003372,1.4908223224555945,0.6107719861510786,0.5593816238144204,0.6969597974437864,0.7860559909038218,0.5206964565914143,0.6818048216559528,1.0208597553313585,2.7388329503447975,3.8525107948857347,3.5822611135646536],[0.614862515299363,0.45470977377469435,0.4592336167424995,0.36618055991806164,0.4339327265807567,0.38822553883766264,0.3450552256717495,0.33651925226560164,0.34209745779766304,0.3106646642346754,0.33476370134584316,0.42773202305953534,0.36118918780562387,0.38307091622290795,0.4782622737882377,0.4412061308009879,0.4899040033707365,0.45644842117292067,0.5320205600137246,0.5161190935808113,0.5561258662785594,0.588027340218711,0.7239451310979905,0.914545773604812,0.6732471848460273,0.6533413756791995,0.5605253066619086,0.4711671021341074,0.46804729519940835,0.46570122898057614,0.5194887872375396,0.4629151103550529,0.6008518317795892,0.5323427147376127,0.45870997513802075,0.465283948039367,0.4628735018683295,0.4957132403646292,0.5103131391738195,0.5011268120612776,0.78426295325455,0.6510302329749178,0.6305402257520493,0.6593890835632685,0.983672419127149,1.215734748888866,1.2707858146852162,0.772800052022325,0.6950512672594126,0.975353052186397,0.8443832561197241,0.9834419305674325,0.6565198563739555,0.6733883136809108,1.3044915201915044,0.625170712513449,0.6148370002369173,0.6990853802569426,0.6883634326313235,1.2697125577725323,0.6455662669942871,0.6753725765608618,0.585216026704405,0.8047690333649546,0.6306499186926362,0.5574551643251551,0.6820134583579437,0.5340851322918001,0.7001801064701512,0.5917140809642367,0.8480609209396439,1.071064119507002,0.6864863293633713,0.9350756702420517,0.5667890174846992,1.229180606340448,0.5282241607919353,0.5571568402129979,0.5136553270599975,0.5640079511636056,0.5132547802938153,0.6086104921869175,1.0877682222095697,0.5196517269303753,0.7224298303595118,0.4839152303774704,0.5118802902050577,0.5760768967791756,0.4859006698713903,0.5491956391699413,0.544579040058655,0.8072401018275369,0.6679249726849351,0.5604368983080363,0.49919531820227475,0.6341185332738407,0.621317767294751,0.4804767466904458,0.45141869440641985,0.7082331995981788,0.4605341449799748,0.4900600119257071,0.42922937360821445,0.4338332703853127,0.49655024477784115,0.46597028105532384,0.5952090827349623,0.4163353051597909,0.3865624954242062,0.6769974510917782,0.38044627915343626,0.3817007148775298,0.3569124099248562,0.3994772878238928,0.4899312327154739,0.4770426479372726,0.4636577030029969,0.5117588448226551,0.6870131458864324,0.528690156340133,0.5154498522406105,0.4783075032117738,0.4962109924252666,0.394383745236752,0.3428410733295229,0.4322236187278184,0.3321733930948286,0.3751674726520286,0.42236888400647754,0.47992453760732756,0.5164613959033656,0.5406317007150573,0.46950898404040625,0.5014238420660867,0.47431030777370653,0.4803420474569053,0.6238251969284667,0.47769787226451255,0.5534448235891264,0.5557238042169435,0.8539242637305136,0.8092255895062744,0.5393296622547217,0.4920933781344462,0.4560712811335888,0.5135041566926442,0.44360826322127334,0.4299520922693631,0.38214635768062244,0.3713435893770573,0.41981161207885487,0.5742458689272598,0.7168514995192398,1.6562836327034802,1.2354764698041987,0.5365776495344724,0.45218877552467523,0.4227731190774132,0.40596436234031635,0.392307375780958,0.4742399183876486,0.452109495416118,0.460428163593588,0.46551917621415184,0.5571600724673677,0.591030673872269,0.629634651788762,1.105094299742133,0.9930348821969031,0.9082615728388568,0.5961007803494818,0.5162609741501131,0.5294369334354496,0.4125850084106569,0.40703040935740237,0.4226588135205264,0.46051914847341807,0.6613030919279352,0.4558213708124247,0.4725214715992941,0.6164973051900389,0.40009597642836314,0.4229185788640349,0.4770441528529097,0.49884048580804136,0.5989209496240525,0.6590765352735065,0.9003007973074707,1.436180950257824,1.0283505977385572,1.1055293523044025,0.9736371599834278,0.826248667940021,0.7231205314866727,0.6090132095934804,0.608237540003394,0.7206874590379492,0.5840261044092131,0.5364349945100021,0.7380282102133642,0.5206658200478369,0.5520930199215662,0.5331325147243563,0.4676768488403572,0.47276167746174175,0.5001183658435776,0.4901497560685032,0.44504750878967086,0.5121224722320716,0.48610962473716374,0.5012899751684102,0.5372365184391976,0.6021773931244597,0.6551248004646261,0.7281156855859079,0.7499419400608949,0.6939942414686051,0.6416171386944987,0.5210480329052978,0.5500668753603402,0.5315680489134214,1.6005157703540673,0.7520575720915698,1.3527480465888668,0.6359357342226001,0.5954275044408629,0.6051103617834679,0.6807595180427031,0.5785807677405347,0.5152347346896616,0.6817933996982167,0.6713106566222576,0.6102107123229179,0.5947674177370083,0.9592905290674056,0.7272910757468675,0.7038753580482878,0.8743971667452614,0.5508017932877909,0.7534830729214749,0.6789362503715533,0.7224884959493647,0.854337291652454,0.8595828624745436,0.9373544169507784,0.8015361852483038,0.672771224686655,0.8683761490582522,0.7552383781796974,0.6207048555895288,0.7921769035445307,0.9082895795377808,0.6115914301774162,0.620494570634281,0.7843300490325026,0.7826215047352147,0.5954430735783179,0.6084770958077843,0.5530602161290402,0.547501905898726,0.5522777710212367,0.5400616457200245,0.5201766003597825,0.4766747846842284,0.5103132620213634,0.4648545613336299,0.4864009946451002,0.4833565974248029,0.49748072117541403,0.6506510044605728,0.5453118190512738,0.5961596746759418,0.6850302282105648,0.9551390934301206,0.8835109612440872,0.7028919550767957,1.1069017443574865,1.0428861889589083,0.9098935583911476,0.7315895975868703,0.630313078150788,0.5367220459378468,0.8216897960866292,0.5922129507386201,0.6905982790130104,0.647457752081101,0.6204115673668837,0.5766127360577762,0.4915200664030418,0.5337377334220335,0.4603669469294992,0.5606456959658489,0.6586093027045654,1.494264275438138,0.548385102043948,0.528475667366414,0.6629705626714336,0.7488264089903354,0.5068926294923167,0.6662475735670955,1.020780864849934,2.7846458129350835,3.9381419170494336,3.677959141367223],[0.5507165943179794,0.42444298320670104,0.42330133255172336,0.3480824839011891,0.42641842096106514,0.35557890369646233,0.30019641966352456,0.30137378230964207,0.32181161972802236,0.30983083433292735,0.3192121512415831,0.39425515165899144,0.35226150770852827,0.3834134243646672,0.4684974548235698,0.4206271754080062,0.49914192883928893,0.45530860926835315,0.5557025043959927,0.5413901945882885,0.6002377791539346,0.6375535209725146,0.7720674444123516,0.9341867964801763,0.7445744221218525,0.7069828912998435,0.6222549889428336,0.5000346909089721,0.47783200904030854,0.45331851257537414,0.5056087639900492,0.44037472752843326,0.5474170394237834,0.5173178047272335,0.4509786690889665,0.47254901137999733,0.46612144785083176,0.5102824912048101,0.527303604953289,0.5380077118255946,0.8231065551572737,0.6873761353316379,0.6595556300511697,0.6861554760479159,1.0456505651915946,1.2676445494048851,1.355131655540836,0.8275474298084557,0.7155100060051052,1.0138436575190017,0.8301701135350371,1.0205649103544072,0.6809124704705789,0.6681482572628707,1.2629047405599036,0.6291504339616779,0.658813602568417,0.7039868388302323,0.7079956370296233,1.370391730770055,0.6938437903352461,0.7084238914223944,0.5990208163363456,0.8417778784088867,0.6825332743274362,0.5925349747580549,0.6792428611658687,0.5465338096266437,0.7116340660108134,0.6149756373575885,0.8203161301293002,1.013592834218678,0.6795504723179941,0.925916914295808,0.5851828092371248,1.2299473938575116,0.5379306298668346,0.5520917312857249,0.5101130275982781,0.5886508785944278,0.535773080210357,0.6086118196773577,1.0618762680112286,0.524647051342196,0.7618856238815706,0.49714103439046686,0.5297996057937984,0.5763957334443487,0.49565689232092786,0.5468399198077046,0.5440368889956055,0.8120730880930254,0.6735535126121627,0.5441893641963366,0.48181547235890787,0.6094464980870621,0.6001533522169005,0.4481305741652491,0.4139153978120987,0.650844791694302,0.41927630734893845,0.483616131855109,0.39061598877861153,0.4086738450252555,0.5344297274604208,0.4682000501642614,0.5932848596590194,0.42910940982592904,0.3940627498846006,0.6797019276889391,0.3713610907988635,0.38816461972249827,0.3527716790855181,0.4182882269944116,0.4633924756871245,0.4922096161177551,0.473469123733903,0.5480116852883764,0.698529894066894,0.5044773492953843,0.5093105929411683,0.46145647031120235,0.5042634889685771,0.3950587590741415,0.3609387189977458,0.4538318577366077,0.3272546903806581,0.3859865431121478,0.42581384659297195,0.4874987056694047,0.5454155456793185,0.5519438386386529,0.5018946090532652,0.511501687470628,0.49283594764393646,0.4966758497935436,0.6229784434308869,0.5346047280851983,0.568676193896219,0.6033399510965947,0.9061174928094534,0.8891537272965296,0.5704086229890518,0.5203696163456533,0.4944143140538316,0.5326487726036575,0.45358274951837657,0.4533859644998413,0.3632550658839489,0.3712504126877843,0.43771025407401276,0.5514359599441506,0.7459724188969846,1.6434595875372648,1.1912646814899928,0.49835068894742746,0.4121442770144327,0.41178871566382236,0.36981970091091243,0.36600733777243,0.4771588509780415,0.46969538058726723,0.49966048579589645,0.5012934278770299,0.5912433180497899,0.63564325477437,0.740606832599373,1.2257671002891788,1.1164720824576098,0.9888038114435233,0.6744681869353433,0.5735797134558492,0.5793285176008675,0.4375451443349039,0.42143753186381505,0.421692949674313,0.44882333404569763,0.6016784843403798,0.47503490244739066,0.44217923199259296,0.6575252991694722,0.4096142395948068,0.4585403326597194,0.5192485731525383,0.5245818592194256,0.6496616274867341,0.7057622151309414,0.9244955494770322,1.4756240075714644,1.1079181194166015,1.192260617655338,0.9767684290124654,0.8698302093720117,0.7962797709197331,0.6775556194550714,0.6943726903866022,0.7774036702546643,0.6323931779321733,0.579643551129048,0.7622092585822174,0.5278017552304001,0.5353138680809083,0.5379049489094092,0.48144631508044944,0.471749275633816,0.49641534241702256,0.5200217258130446,0.47840770691454787,0.5209504300971489,0.5138852311721085,0.5367575796232188,0.5905765223918592,0.6570037748667119,0.6913883875244725,0.8044670942012352,0.8257142154507329,0.7533975581787469,0.7064168967508251,0.5629298795332391,0.6058329442984126,0.5984190951696909,1.4937752519549252,0.8310070275795055,1.3755322455906314,0.6556935388201391,0.5967948244358191,0.6039439389840531,0.6541444472406235,0.6180604810240811,0.5224482903758718,0.6871456623452598,0.6815413646273459,0.6611661575901358,0.6334430896663265,0.9526580543743847,0.8151448748870204,0.766815783010306,0.9531514656238121,0.5969329166698267,0.7809190730462902,0.6567054745371211,0.6665475482571749,0.7989126525064804,0.8300798958619954,0.9083062600467972,0.7574385223635585,0.6459006311500555,0.7832517912205628,0.7208252417491705,0.5966560590253644,0.7485565162054025,0.8837041659249424,0.6103752491903459,0.6215581280438278,0.7784301778418727,0.808184676851713,0.6320259737464057,0.6381141029560992,0.5746044284966539,0.5618535154857016,0.5459537998341285,0.5520792946482606,0.5475894727694453,0.509216296061313,0.5143527561366783,0.5023756202913152,0.5263656945718763,0.520150930079377,0.5496077710120915,0.7011293178898254,0.5879032758393836,0.6526736372395792,0.7469371547944689,1.0104079540904671,0.9209557089137856,0.7502766516096789,1.1627357618457312,1.0562895588832517,0.9843551208261172,0.7727650197840253,0.6645463152901725,0.5674950424755051,0.8060402864422684,0.6237354928891484,0.7404776307790643,0.6804574637519529,0.6532461748505523,0.6084180779030438,0.5274797928638134,0.5359433597272711,0.4798731541791075,0.553683855886149,0.6296522919211042,1.4527377988766546,0.5496897397920073,0.4933836274988614,0.5797777829143956,0.7566866111100179,0.44696900632468867,0.6710713503964967,0.906441447522837,2.3147318584620464,3.2091020929805465,2.785266965031055],[0.5557009090371143,0.36810395605317825,0.37015817206421703,0.31430149825332543,0.38400246671887933,0.3483110334913327,0.2609183260702617,0.2766511838309042,0.29283525665366256,0.2716890568994208,0.29277961109535694,0.382667047623427,0.3095410493956859,0.35111844792953983,0.4405068261799257,0.4008072403006957,0.45782442010083296,0.4354918450301445,0.49349571324352975,0.47277118127284434,0.5130837352254584,0.5409506370298012,0.7012578357346542,0.8761612146274971,0.6317630664371496,0.6066935715835134,0.5108413105740492,0.4161629911785135,0.42119863994612977,0.4254110624556352,0.49394596081433784,0.4398267063226791,0.5910083597883162,0.5088762567508002,0.42808870386634884,0.4357631007519083,0.4036048096951425,0.46854064213430346,0.4510806664587707,0.4543033971579439,0.7643772277148091,0.6131195823250404,0.5772444289513302,0.6171582335190536,0.9601734763200078,1.2216707860398994,1.2563445979589172,0.7388602167193179,0.6666890987315219,0.9273734333330933,0.764238157235493,0.9189134671515542,0.6005985481069039,0.6101242613149109,1.3196154736560999,0.5987904853542253,0.5864144121181789,0.690667574491719,0.7136623778146801,1.2307777266980582,0.6166232154169968,0.6505660560876046,0.565824881655584,0.7922809177365608,0.601847309065546,0.5280592151693566,0.6575164384841584,0.5180983212644018,0.6716729839101,0.5687898819448568,0.8375172598382372,1.110813475276398,0.6919951815602718,0.912955838690121,0.5592094161804466,1.2159262174943737,0.5062146400611137,0.5297555865472469,0.487351680431436,0.5374567610015384,0.47504142539089933,0.5582229795029896,1.06965435704492,0.4817273636018457,0.6655465412545392,0.4422080605391426,0.4779941566787435,0.5264244516179029,0.4512161495612108,0.5268282256857828,0.5078989903542751,0.7384085396576271,0.6116954881765825,0.5281854824589224,0.4776415681222452,0.5863442872452878,0.5998055888602706,0.46640185048354604,0.4087578642831667,0.6958514664296249,0.44053031080263105,0.48796677201091654,0.3780773669304615,0.4019349930191064,0.4821735616427222,0.41842822077912495,0.6037449695062276,0.35053597129917735,0.35648604349919005,0.6548019976489947,0.3301077165128271,0.32104938572129954,0.2739301185521622,0.36312343606229047,0.44930450854003673,0.41772803859871105,0.40994074779127976,0.46140316585105917,0.6338007513469618,0.5022135914978058,0.4822733919640289,0.4332516158749443,0.4285693429391397,0.34633866070253805,0.33973031780346313,0.42221340375352717,0.3032357285427419,0.3552534535690352,0.3599672048211486,0.42497565251008784,0.45857848707787835,0.49921583529700286,0.42382717768967826,0.4657785368142947,0.43192561787149253,0.4384523679127062,0.5732254933853315,0.506022056920528,0.5588019953084847,0.49925309556701886,0.8186058595304843,0.7717630036262572,0.49391066317076754,0.4527782704902035,0.41227818952198164,0.466025368644376,0.3856491670635556,0.4004203169267702,0.32305604240379293,0.3434098319400233,0.4086931468947915,0.5681087029641415,0.8338674551664988,1.7328387376281782,1.1863127615609277,0.5354805361347376,0.40018695976525465,0.4030630581640618,0.35513606929953273,0.34856495980995006,0.39867996574680753,0.4035059321990641,0.4227707360580584,0.4198398035985953,0.5217602422312454,0.5443806646060257,0.6532293930895117,1.1226283204628231,1.0335469770167007,0.9505366721393388,0.6357971538149446,0.49543692201141154,0.5030758246436183,0.36853682747967814,0.3519942653643783,0.3780896374917654,0.4073085754972989,0.6153353815714122,0.41041418840537514,0.4090560843647424,0.6148618467871162,0.3378092700216276,0.369429375922592,0.4210239913676962,0.4506961038632057,0.5721136381177448,0.6208923494988937,0.8483404644486531,1.4100102575070446,1.0248567606878456,1.0806722311731978,0.8476787954003119,0.763841323082854,0.6886122807215644,0.5709545570087861,0.5879255609144732,0.6942885767541214,0.5096040976881527,0.4811174285081241,0.6670974475702385,0.4357236285713989,0.460341434672176,0.4528799859543147,0.4112392670825097,0.42139087444245854,0.4483101640039784,0.45861782107358506,0.4501074071516135,0.5236651785875386,0.4938459178893366,0.5324321384092779,0.5873880943562546,0.6442682976604857,0.6865938982660442,0.79514568059147,0.8145049963636556,0.7562673472388619,0.7242457719143923,0.5781603458870027,0.6287702771710878,0.6088221172356566,1.5795175095843574,0.8642149097840734,1.4332830649334591,0.6376560786217305,0.5896869052497709,0.5779715943716917,0.605989566632022,0.5438351771233487,0.4564581542367773,0.6221156984417652,0.6050416649602909,0.6164562604848932,0.5639291569266669,0.8708723459975806,0.7121346797214367,0.6843305849469207,0.8544572436285827,0.517777868464974,0.6561779762237757,0.5531192923106086,0.6243371046367984,0.7386824580396669,0.8175148793853101,0.8594896878642889,0.7029284209027533,0.6063200833681442,0.7815585898166786,0.6727119301974192,0.578243691594917,0.7683496147980008,0.9007131899276019,0.6159048021950698,0.6429643333744021,0.8128893993392788,0.81669871599497,0.6424575573891029,0.6634011748497658,0.5897016820985718,0.5686448298271237,0.5343567612526705,0.5234253644504647,0.540445707262624,0.4966116224997699,0.48462140997421416,0.4796717645021772,0.511097770866531,0.4747876602295004,0.4871966598994343,0.6719691637990796,0.5652352793109466,0.5760422193744841,0.6590493432615262,0.9407142975941273,0.8860437130083193,0.7322128032726554,1.0313251850106973,1.0159068950817778,1.036265994796803,0.7711458038992314,0.6576210516847195,0.5505792700774172,0.813894848881219,0.6237149295095527,0.7298289796236307,0.6285171865761292,0.6031334407262336,0.5700318483669764,0.4464385006450464,0.45933585811397115,0.4186068197178225,0.481490622307695,0.6046808593295019,1.4884491421003228,0.49981426419139513,0.4864444808115056,0.6024810775320175,0.7022764791425105,0.4499682767591873,0.6716418197976572,0.9525092698654724,2.5052833803658388,3.529920184648973,3.1505169847480086],[0.5762324779647966,0.4357954219153604,0.3875608377654461,0.3298878817187541,0.4012299408377725,0.3424102491035344,0.2643488934527235,0.318226980625159,0.34149934092331424,0.3194246404070295,0.32824508317253676,0.4014662590961069,0.33305923862461967,0.3673416941224525,0.4464836055987446,0.38537975404107216,0.45287400951090356,0.42617604245184587,0.5024336236409517,0.4702654509843487,0.5223370820067488,0.5632565708113666,0.7242288351897946,0.8285676921545637,0.6501194815527027,0.600915908130815,0.521313795709642,0.4287368307146297,0.4144797632762966,0.4124260682027089,0.47668192001840237,0.43362175170249145,0.5232736385001815,0.48183424018871734,0.41631396436487694,0.4228131625059797,0.4114579846907715,0.45933706529762164,0.44204246106398887,0.4659891707804946,0.7796028306047781,0.6195450475480067,0.5833224667507314,0.6455872540627625,1.0002448337368384,1.2648554384623576,1.342050691625909,0.7867817492391379,0.6752079966803866,0.9256781947989826,0.7339962868105939,0.9902067780331077,0.6584336637956226,0.6495267616664094,1.2876299223138128,0.6027606112912905,0.6337585739942161,0.6763864376879777,0.7148602952737155,1.3422968570306877,0.6489260875187576,0.6668696190404629,0.5773827850732133,0.7512948623070832,0.6233812929499973,0.5538809912841615,0.6717411015030678,0.5096740551515495,0.6455339932387735,0.5939066491011886,0.8273611913727689,1.059791443466886,0.6836361182094823,0.8696688277121758,0.5448447438707681,1.1611768551025918,0.5002345632766464,0.5196313088948481,0.47347152506165313,0.5447663541633814,0.47329389360047397,0.5412440322349015,1.0167492705910999,0.4382539190210536,0.6492080386509558,0.4379430541602652,0.47197479008648546,0.5189096728552396,0.4466248931391136,0.5056217948398531,0.5022217761717784,0.7465137103020484,0.6165415560720103,0.5111960759685056,0.47343838258671267,0.5718475075139022,0.5927627125397114,0.4625400627161452,0.4219180614433378,0.6742572556326497,0.449688784329068,0.5149167686008491,0.3872508776028351,0.4122697282184677,0.5530741568942678,0.45327577156245963,0.6424932624577234,0.41522374738032475,0.41680684907458415,0.6893373982514686,0.38703890272634855,0.34239452664821196,0.3006150338502197,0.36661614036713186,0.41411015809740925,0.4266219598925984,0.427259220012878,0.49419724450061137,0.6263428367911738,0.5004391944873628,0.4902237420693882,0.46645832980690477,0.43946576808439664,0.3550644811844635,0.3627835879781598,0.42549555483970525,0.3325043370300931,0.3848158750525927,0.4062871591125974,0.44003757519110215,0.4890149243840504,0.5269293429625055,0.4560738881560108,0.5086628575402931,0.4497677231421034,0.45628047050449383,0.5692821322701715,0.556772480789337,0.5271834535438136,0.5160075150131186,0.7941803411825212,0.7824849624387497,0.5439520600346616,0.46031311619317694,0.4408471498676969,0.48816565589367794,0.3883032646396502,0.4202276798379858,0.3226199013444034,0.36720606676549283,0.4400344401044202,0.5466605977770087,0.8241677343771933,1.6367464846018225,1.120127530254424,0.509770446903727,0.42302125040622185,0.4293943810926545,0.3792745494177591,0.3528842426329129,0.3994292573032109,0.40190904617513845,0.45587188271466356,0.43253625041629107,0.5484094447320299,0.5881592337466652,0.7212802532498627,1.2027443869775034,1.127740487422737,0.9957836301107074,0.6817018962251257,0.5503037517632707,0.5442144151792773,0.39723969217839733,0.35891666909420494,0.3774109730422975,0.4192909210591166,0.5922779558036769,0.4058491229242851,0.399772396552319,0.6610965890908891,0.36713273636125915,0.4112749520443086,0.4598815645410465,0.4701802352899877,0.5807605333977749,0.6337551253066148,0.813959726123527,1.4124165816263285,1.075578686898728,1.1571168634465212,0.8389563619992584,0.8225487137478993,0.7426566630271966,0.6166867594028067,0.6557668427125484,0.736434994492112,0.5634533324572208,0.5413064620034125,0.7079296643069182,0.4923563460305823,0.5213134076092474,0.5163968942052543,0.477258020123017,0.4848070277330762,0.506169618064278,0.5081652934919124,0.5110863805365607,0.5738214283626185,0.5550026392061732,0.5888162727958318,0.6546729644095476,0.7128910283025771,0.7311638092758392,0.8690230869976793,0.8665906899245639,0.806030087295175,0.7765681383581795,0.6404384281700664,0.6942987743009226,0.6769684466024984,1.4570204367477633,0.927182135474168,1.4579000845010022,0.6709101833374412,0.6059563100566641,0.6127575889222592,0.6061284096541146,0.6106290429887946,0.5089879345451197,0.6597327155521661,0.6476082303749847,0.6813274397309091,0.6314087968306636,0.8666295375021403,0.8157140706933191,0.7546148163180121,0.9249480995452471,0.5778348194844708,0.7093254782574655,0.5659172923819646,0.6258625348866727,0.7320289219231426,0.8384130143369505,0.8769008703509146,0.7278992810987749,0.6454538314203491,0.7501362734025977,0.7038500264778065,0.6205168581362367,0.7665039970131734,0.9115754425454486,0.6575276840698795,0.6660146238618603,0.8157960881987613,0.8597312054272471,0.6934996539309388,0.71030053101846,0.6431463591908989,0.6201141840924633,0.5758372795894593,0.569062973814114,0.6074144164388171,0.547513579990529,0.5205591110742194,0.5444911198812151,0.5750628990839267,0.5389065771587264,0.5546635717475262,0.7469318614294623,0.6189912488244933,0.6561125030550614,0.7295342883683263,1.0116032020638046,0.9271496347470097,0.7729632024048015,1.0657177937397826,0.998979291217311,1.1069384482326527,0.794583570956772,0.6808135116975049,0.581074466805266,0.7722678837228162,0.6459097707040415,0.7737486583316862,0.682930699243474,0.6442600106729209,0.6007797650405449,0.4974102477661294,0.47799446995598,0.5023325276043751,0.5472467758652398,0.625545959209963,1.422694114209784,0.5629332073770386,0.5007341891121888,0.5241423835916931,0.7460899915507037,0.430766686044505,0.6632100838148669,0.962989819911803,1.7567739729523464,2.4375419271878687,2.1596630393196152],[0.5145360093467254,0.34692642103735943,0.3376793882404319,0.2669055343678566,0.3549524644846872,0.3563981330357381,0.2571607236232353,0.33925409305720766,0.3319019936038752,0.2820900788712544,0.3178416205006507,0.43347338056008644,0.3021157000283276,0.3298197521452317,0.40488191135657087,0.3593779736123591,0.3831655203504249,0.3707436547755103,0.41632536739396847,0.39546405807350316,0.4277466299998065,0.4647199350032332,0.6263963050835715,0.7276718809437516,0.5686310956758781,0.5119185003744222,0.4270678461885976,0.3401806212765348,0.360187454210403,0.37426109714477507,0.4239728095760035,0.4008211556315394,0.5170395320897941,0.4373052498220684,0.37457734500527307,0.3755427616414422,0.36398697983556966,0.4040941511227245,0.3563429793440887,0.37539640802601654,0.7459339961487201,0.5409192400796082,0.47554216858375575,0.5613855593825086,0.9131589333723908,1.239599144438812,1.2692633216394185,0.6749906002392915,0.5958401358213046,0.8379632085925589,0.6341296799048557,0.8602799757576404,0.553006512914745,0.545979519914525,1.2847551328908033,0.540651314674529,0.5441307197895521,0.6102946034956889,0.6866974755276531,1.2151651414430285,0.5485499090178713,0.578710133144416,0.5108312181319556,0.6680916275501354,0.5150424275049752,0.4798023381594414,0.6181224968560495,0.4668174927688524,0.5811394832000976,0.5348012915977088,0.806421045970711,1.1114120954886733,0.668730422471892,0.8396143122110408,0.5107115197955511,1.0982951360171236,0.43560999847780074,0.46141687268106507,0.4178930907435236,0.48855600526451776,0.4153869583502449,0.46996682311708465,0.99813475524034,0.41943538988753476,0.5399780519816079,0.3988727001596365,0.40599713071827603,0.4853939124504655,0.3830341764148949,0.48181068202149036,0.4422618790470848,0.6726954760560774,0.5504330856145243,0.4578000206437573,0.43502471413987537,0.5285738854003232,0.552191050244707,0.4288485329386719,0.4226143308167461,0.7031307843210068,0.46184294135485654,0.5528232897090263,0.3872382831943982,0.4305397189422329,0.5554606981546226,0.44185872128293213,0.7211802648348212,0.4189987387171686,0.436545777115777,0.6873486798858218,0.39998180428216956,0.32405423497230135,0.2808643133126771,0.33990000689976435,0.3600310149457026,0.3488186553323971,0.3885539347069099,0.4162889991979437,0.5225047488919643,0.4322330672132394,0.40474769192580295,0.3799298437797094,0.3547332972913429,0.28899241570517353,0.3223530654348375,0.3886001263368328,0.3339093236906954,0.37924038768972884,0.4005371745980623,0.41090268540386815,0.45271852185261824,0.5193451874679645,0.42788598157727886,0.478820369493364,0.4258718546091187,0.43234121452089125,0.5819515146772627,0.6105359881924689,0.5523934860694275,0.44498846015109894,0.7353496398166229,0.7075158402803757,0.4381746738015721,0.3677058677626494,0.3604913437114105,0.42362545663859313,0.31144760848443054,0.3955633564659476,0.2841070718697208,0.3407163748417241,0.44866214224799267,0.5443816947152362,0.9149530109625968,1.6385012967912973,1.0632838006169922,0.563484011212628,0.42630541722062737,0.4374026221845931,0.35260981855545276,0.3621091618911723,0.3459432388416042,0.35371700654765287,0.39033683386228196,0.3543262323391858,0.5466919874415571,0.5575981136914635,0.7139713036696477,1.1562777137250515,1.1266259567117312,1.0266649464622846,0.6969341377229877,0.5115202433693044,0.5045164568484254,0.3580992510106013,0.3303762998651167,0.3637455174496754,0.37908728020794286,0.5776234390094251,0.35876877711027805,0.36104120139754187,0.6717476508525747,0.341963398853535,0.3826163132790866,0.43597572529847456,0.4354616777385109,0.523397568593138,0.5625160263487319,0.7700499776389703,1.3690382303533195,1.0277430494220006,1.078188305023275,0.7285864242231967,0.7575755780810227,0.6818725496916692,0.5612453669895354,0.6036517210142147,0.7002942983468139,0.4916931393496619,0.4880782221746159,0.6420214747665407,0.45510904623028586,0.49577408792975425,0.4805319168736272,0.45109127262875814,0.4859805280252075,0.5043989940385308,0.49863485437299293,0.51341010530352,0.60112926415727,0.5478662695995083,0.5808695668435033,0.6661494117872827,0.7244390748343822,0.6997825674790419,0.840980885261572,0.8421956888552429,0.8162355178737853,0.7753062822141511,0.6461566615925037,0.7185050357597107,0.7116213481465112,1.5186462754086612,0.9555564976577887,1.4937151724626931,0.6955597875452878,0.6436769033454538,0.6372711286543989,0.6027205439166674,0.6205350705105616,0.5091981882644716,0.6558411671895223,0.6008429755647263,0.6642048784054098,0.5961338536993978,0.80522717414985,0.755037077413674,0.6897079630357591,0.8818661188455762,0.5357869070021786,0.6366254648378695,0.5108200508862302,0.6032335260794719,0.6811572633367002,0.8659230761055676,0.8308536846061877,0.6916042899687678,0.6587532742647517,0.7821698335815153,0.7094889542979619,0.6602064128429898,0.8306540245735314,0.9780663274850232,0.7083898360380212,0.7328521062433131,0.8898776587794579,0.9140265264116075,0.7259351489587683,0.7578565146310704,0.6836398479545915,0.663074577834967,0.6085064097415076,0.5933922972657983,0.6412533190499975,0.5704855014609493,0.545803323134133,0.5737745954088329,0.6014235206800923,0.5326364818033197,0.543569141271158,0.7374689141507217,0.6068912772146868,0.6096348471868789,0.6844674104353489,0.9586388094639452,0.8918996043253035,0.7668784336874314,0.9735205095054058,0.9481726695479396,1.1475393057588783,0.7760204486681426,0.6691026446742245,0.5606274973349208,0.7837420792071335,0.6950933821699572,0.7943471014599539,0.6817076657961347,0.6269292944687751,0.6019501610387267,0.46496773881964404,0.4580638666581699,0.48884710971316925,0.5315158896444633,0.6401363233720551,1.419282825754978,0.5561472808345956,0.5095494035917415,0.4999106913723348,0.7071430742169005,0.42891078850160835,0.6484756159808772,1.0270186067038565,1.5243071936498742,2.1939567484379827,2.0637412444910304],[0.5804493148029092,0.3617952145552856,0.38305713397163726,0.2810367426755667,0.3243015255410331,0.35448307380215965,0.25096092398953945,0.3413663138051512,0.3214181055683664,0.29318904236045396,0.3325541066528392,0.42916286177519586,0.3249768147562985,0.33648205199699255,0.46052849228405446,0.3992796106441172,0.41293012361398956,0.4074937605543959,0.44256053312097243,0.4259676858978113,0.4532213064415669,0.4708032726032278,0.6204991544579147,0.7543646407379834,0.5380065185230837,0.5041741283866699,0.41393881747416045,0.35130018861945567,0.3841260144266737,0.4107383480942463,0.45590585615913765,0.4530596142760864,0.5793113571656746,0.4914322925532073,0.41718866830517976,0.4109767426072644,0.4022031590109792,0.40566273806070324,0.3659656116320127,0.3748278424519086,0.7230994598444856,0.5287492252619271,0.47534381702471024,0.5608470145786124,0.8740983815836423,1.2040808349457433,1.189455780613648,0.6530934055490202,0.5938897589753012,0.8130269852468962,0.6167543501809813,0.8267537807377789,0.5288198416864119,0.5266521622566632,1.3087895236196396,0.547910754708329,0.5301516192397795,0.6174104814388175,0.7266283646201559,1.1701117673187866,0.5428049849877999,0.5716122158504442,0.5173516695155205,0.7241623020713932,0.5390688040752385,0.479619224569382,0.6727550839819867,0.5247070978737141,0.6215325972862722,0.5437247923517661,0.8706670836823727,1.213200189946388,0.7335895273794857,0.9117175924443475,0.530767331248476,1.1730058196825741,0.4680963923178692,0.505296623089834,0.45071232455329885,0.4959073373613702,0.42974272665784957,0.4957296580499312,1.0248403692406343,0.45545936413887916,0.5494236882641739,0.3947949022756962,0.4039903648598902,0.5004736258836985,0.4099103804667395,0.5112169594987078,0.48002450954734727,0.6738550173352358,0.5537127257778529,0.5054506036692162,0.47110743865710325,0.5601099957961719,0.5931887555547782,0.4742475291389211,0.45573278363675634,0.7437029487773331,0.47962590146043044,0.5600495170773458,0.416397341529269,0.4542882469001988,0.5156889790695779,0.45391555752477847,0.7346543155421917,0.3955818194728546,0.4177250760133805,0.7137072750814651,0.386437731029793,0.31210547883530004,0.27055191036097875,0.32699552972673973,0.40215948215177677,0.36310979619063516,0.3755962470838865,0.39377862805704994,0.5411358508224445,0.45009710321973273,0.4150239120658714,0.3695654956590442,0.3511920964834388,0.3080541072262767,0.316941149267658,0.36226459746175876,0.3408591893138511,0.353303713884459,0.37126915322696347,0.3891266742600489,0.41011097990446393,0.5002904611665451,0.3773389685894543,0.4896189610895769,0.3953834941599622,0.39495614564719567,0.5659973419011746,0.6123953331304492,0.605114277731695,0.43197616250001475,0.7513698643561753,0.6959483201996614,0.4426101069554789,0.3785289409960483,0.3439216031999381,0.4121463430393495,0.3305412692773732,0.39710459428351674,0.299524439776536,0.33051820218083816,0.4454773487425613,0.5491269335760234,0.9734356839798436,1.7473143495364452,1.1127975215164003,0.6188649463448841,0.45548936985393995,0.45983123361791267,0.37713846246340044,0.3862300407392131,0.34150585109576287,0.37035764324086207,0.381864581046325,0.34863782185862296,0.5235552388418071,0.5345062155100007,0.6520360015098522,1.0683642936414923,1.0588028040727255,0.9863347822646894,0.669711700103503,0.4852297070352287,0.4757810431444503,0.3527273995221356,0.3176645873801873,0.3665866851298527,0.40617848894799696,0.6456593339503833,0.3532997844866428,0.4100923818837711,0.6405090120947796,0.33748786698204,0.3538045420067598,0.38412377044581747,0.3955139595477995,0.49784417313895823,0.5399509921197229,0.7481507799770833,1.3567351994210086,0.9754238466246729,1.017833966634399,0.7042696345291775,0.6967086122479506,0.6144306288663721,0.4838791078055223,0.5400886399000111,0.6653966707300701,0.4244141063535888,0.43948642094219176,0.5923926051773525,0.41784418602286544,0.4592625322449247,0.4344970242806838,0.42088866183897217,0.46661270339015914,0.4699454393157676,0.4878078142882779,0.5035426610180098,0.5884432475398987,0.5270315824709072,0.6030529204783767,0.6751997999876094,0.7010754640766709,0.69813721274812,0.8325055120750704,0.8372251977313993,0.8516703367415818,0.8075014468399255,0.6766612087048202,0.7582090892559004,0.7696652821913151,1.6815293669400884,1.0025160001173656,1.5244261673430848,0.707431458598966,0.6715214614535531,0.6363061188329125,0.6093054180247551,0.6173914524190274,0.49074985931256365,0.6363726166905154,0.5680051266331458,0.6366032807440837,0.5381138135569904,0.7884634237517356,0.7108138848692944,0.6648013458568465,0.8300670551981443,0.4918372809766958,0.5943630642392707,0.5054797748685902,0.6026556394231274,0.6920934312312974,0.905303439995423,0.8417753824158836,0.6916129082789595,0.6570164684595667,0.7998907054917793,0.6955136664083363,0.65029783233245,0.852059216260081,0.977346964654936,0.6959597816900639,0.7470177888230937,0.9107991351469645,0.8936678349780013,0.7415635250270073,0.7920305774493718,0.701467283626283,0.6776597893223271,0.6082032109350868,0.6061064212220922,0.6570703532603497,0.572759103173005,0.5555976759146419,0.5877499447684764,0.618057215970978,0.5251670070871423,0.545035202860534,0.7445464920054962,0.6279510691597564,0.592365864455525,0.6718927990990675,0.9340073146227716,0.8840231621237001,0.7888836533734139,0.9555304196343367,0.9623317842638611,1.1821450036656338,0.8103540636734297,0.6904366732847707,0.5903660586271704,0.8389865115129707,0.7400566466381693,0.8153696810782886,0.6849282065509636,0.6118839197695412,0.5730665020350328,0.42475947007223624,0.4258181784973505,0.43122083217638557,0.47643286670982554,0.6127599350972522,1.4600568487076488,0.4855223146688543,0.5214100189940575,0.5632237393665708,0.6585232255690238,0.4813737458456135,0.6810042829819399,0.9735986348211241,1.8674116509454717,2.743742706621009,2.4427919741853237],[0.5621524517350814,0.334382312432856,0.4561636333349842,0.27737930794064364,0.3043956744209525,0.32546643881754816,0.2230932183377615,0.32738199303341536,0.2856405308492891,0.22569984348007371,0.2763027622226636,0.4055196614059102,0.28569442278558976,0.2826441641524671,0.4133655396045897,0.343961440766693,0.33486508556160016,0.33216033221545893,0.35741176832727073,0.35481969207987435,0.36879863804510715,0.3968930408497867,0.5311538697138247,0.6156501291746312,0.48079063589925464,0.4220139944847611,0.3258737093140198,0.28716724934714427,0.330813015188839,0.367541005632014,0.3915121952602775,0.4050727192585462,0.5232990935234677,0.4428260416083159,0.380756259518467,0.3626774428042097,0.369721008837217,0.3590436534359908,0.30656476296669805,0.33602994663900204,0.7226877970898191,0.476021350631765,0.39649135606719355,0.5175716952442697,0.8318164476346496,1.2109793456453215,1.166808312622806,0.592057122292925,0.5405036888337781,0.7554807748365605,0.5543620340694266,0.7538134507595626,0.49381442281010585,0.47663264381637294,1.318926545660362,0.5322763933613126,0.4877157586361215,0.5650619658437107,0.7046888103339697,1.0869644393182012,0.4654712224054473,0.5386112524622162,0.4894424655470978,0.6275496776363176,0.4351827609753578,0.42354963013179137,0.6119022880330012,0.46926237911293023,0.5649167968174605,0.5005297861276166,0.8453609961640788,1.2186131803893274,0.7016403014931835,0.8161255245886306,0.4795925378895832,1.0502550207290335,0.4051490441287665,0.4476204256886123,0.4021021339115024,0.4749074411347423,0.4138949443702153,0.4557818542936135,0.989665993442045,0.45719858211467307,0.4875948563686413,0.3895947933130223,0.3639133502817559,0.48225256412570383,0.36560990278551353,0.49250267102525447,0.41537610383072826,0.591865490108037,0.4854466730451912,0.43333163366409444,0.4145213567677339,0.4897452456236933,0.5359232982387266,0.4391631323914266,0.4390397332869394,0.7410329731755269,0.47144792259081214,0.5791215024059109,0.41646642737910755,0.470953502679684,0.5556092807317875,0.45560250285434023,0.8028557726303553,0.4234770772013439,0.4421311017084413,0.6840864140144611,0.4017692085054286,0.2915679761410349,0.2473377335809147,0.28991821818607333,0.324889959708459,0.2946783846117285,0.34465427812392024,0.3440490639736831,0.43097375607325356,0.39252979109741676,0.3381530484697878,0.30386691610749306,0.28215665188068334,0.23993760040949436,0.26531932843300515,0.3431473904217773,0.33620308285933453,0.34509067754666994,0.3843178445950243,0.3852657555781164,0.40767420922788405,0.5292546203825991,0.3922459893394823,0.5031242871929776,0.39790344782786846,0.3982316336178277,0.6214609371362224,0.6708177881643462,0.5951861332455353,0.37797832009972365,0.6579322154773557,0.6069106305811025,0.35872927794753173,0.30323346937043,0.32035937495126693,0.36887848758793623,0.2574544588474504,0.35841087854968323,0.2644851666919701,0.29710825640293437,0.4255033238533605,0.5013256160547445,0.9890978416188843,1.6109493451865167,1.0091070527812873,0.6199308954645809,0.4408163595827436,0.4581790890600191,0.3513577338371467,0.38740525172215445,0.28423101377948945,0.3185113000353535,0.33023684994965086,0.28454344714234986,0.5387632144470915,0.5141452537896644,0.6641950015744975,1.0577259409996824,1.0702471396976427,1.0137998460694122,0.6899889507461762,0.4733983777733798,0.45032993839730556,0.33503248798391233,0.31074579783559425,0.37228459960416954,0.391548622688413,0.6329359324456325,0.3494428041270862,0.4048559092624883,0.6513447433693911,0.3434329664371334,0.3615726019172138,0.3976728490762716,0.3976521625197661,0.4773142041922601,0.5038702397174243,0.7125811502431133,1.3058224446755333,0.9376586648916757,0.9466257101747044,0.626060009812098,0.6641283401680917,0.6032896156848578,0.48149846043885813,0.5386013994615128,0.6484823929088175,0.42745683592931705,0.4430286896978763,0.5710146342473461,0.44494510433305356,0.4825213636365517,0.44289556325076984,0.44464583610008707,0.4940486970068903,0.48915136434483186,0.4990125690108919,0.5261261764296961,0.6168716428996557,0.5340665877706824,0.6098820351289416,0.6854307868573098,0.7081718857475918,0.6870194947492929,0.8208405602799118,0.8191134925979384,0.8543040591330405,0.8071428928731621,0.6898694722797204,0.77638233902682,0.7995361174119202,1.7170869641157098,1.0445677136860918,1.5517746380636512,0.7391320723355747,0.7053465122863267,0.6817350311808557,0.6515107481501715,0.657967608077969,0.5452222054102973,0.6884196074073808,0.5915450124459669,0.6610563494321688,0.5835107358878797,0.7850950253621924,0.7147683126560205,0.6523367648467727,0.8016156362602099,0.5153592809908408,0.5992882843232087,0.5330603432485889,0.6324147724218933,0.6996807607862094,0.9216090918297201,0.8394959617672195,0.7117474698739149,0.6859005638106334,0.8168501341049464,0.7220016987796638,0.6870543915869285,0.8804582603124588,1.0089725948275745,0.7308075298390195,0.7817978210065119,0.9423683461708009,0.9321685000436504,0.7627585863029497,0.8144860224462467,0.7293547725663007,0.7128690911774224,0.6492919277258304,0.6507912677161716,0.6986494245513183,0.6047528849504344,0.5928961993220485,0.6211323141149653,0.6401236155252559,0.5510983373340019,0.5733127688161797,0.7462107757625329,0.6345044035381765,0.5935299613730401,0.6674165642342276,0.9109114920058778,0.8708987474933684,0.8010819113096573,0.9271489300000394,0.9365996696357295,1.203711097311206,0.8254693808888167,0.6895810360290436,0.6131117275289895,0.902517101032809,0.7987217713506803,0.8515398576304277,0.7156482588037092,0.6120966010318046,0.5863717276398218,0.42901803423698165,0.40705241235921996,0.44389515842735056,0.4914642498349722,0.6339900426883794,1.3825358341172993,0.5023181942590262,0.5316695315284351,0.5120824378272301,0.621698066198209,0.44611395502430684,0.6556322291890709,1.1108305068971647,1.4170868021285934,2.2127558302412713,2.187810646010031],[0.5063206565171108,0.35141148292259805,0.517521177350125,0.28650075186085644,0.3483563402345164,0.34146928408388516,0.2646057760968163,0.39290830184160674,0.33132712846636686,0.2771583786831359,0.33805527667548163,0.447256196461296,0.3299055032397013,0.33292727448803533,0.4606148794346282,0.39367728129263585,0.39564646342496135,0.3961230424728215,0.426130590330917,0.4126344636184708,0.4481200728231236,0.4608683133735086,0.6137824396366648,0.7330015179759178,0.5320318945213474,0.5032074024640857,0.398352377504107,0.34132579291692616,0.3776967185680934,0.4049230400372881,0.46875940218968337,0.4420915169701884,0.5778376449933507,0.5038074183222714,0.43404291462096,0.41110582790646616,0.3919262177639514,0.4065673551235827,0.3727973713253375,0.39356089720592663,0.7510728646895682,0.5268146648072136,0.46058142119754236,0.5835614353244915,0.9026058602155077,1.2572001357303049,1.2318115882067284,0.6685144050444136,0.6311934194609903,0.8381034023819716,0.6242847198511794,0.7880386542729486,0.5207714853068424,0.5022737101010329,1.3179585682742099,0.5490112353397156,0.5397869951787311,0.6123242319885847,0.7366499395343181,1.1624725034599381,0.5359828917225101,0.5899914281528429,0.5360107109930137,0.6957167660266287,0.5180560265524791,0.4775241275291198,0.6806026414735246,0.5298417912011545,0.6222355953206695,0.5607066673597298,0.901038743201749,1.2639917293636576,0.7614436120334512,0.901939126573622,0.5349588225741161,1.1598335186912765,0.4589832596519756,0.5032925822697889,0.45225291399699574,0.5303365473176632,0.4493906280163862,0.493602034702083,1.022272115678287,0.48718475079693374,0.5333269414096997,0.4197816763139866,0.3926053480364385,0.5040023996891545,0.4157502944708114,0.533508975672228,0.4808836293518716,0.6937707477086598,0.5711668116147701,0.5075588485583418,0.4825440123751919,0.5646862587699629,0.5972203931806624,0.49139765580074063,0.47735523958026327,0.7728867634098484,0.5139316124318217,0.5961830368612997,0.4363009302094822,0.4821771455416024,0.5629058853354652,0.4897466773550147,0.8265584981428845,0.4606424465456596,0.48740666151435924,0.7318984129569424,0.4344646203985176,0.33951100806920714,0.28510871509300534,0.3589048047737482,0.4146924722344606,0.3559272126342051,0.38553454547011884,0.39688164416794575,0.5067212177392554,0.41886083382289,0.387025171218932,0.3476320661221969,0.33467330515593374,0.2824852155536285,0.3274485983764372,0.3732262824584915,0.3571037708038196,0.38491288342872726,0.4242422851578445,0.4295723586603768,0.4523781391912595,0.5599969876757578,0.42806992531348825,0.5279706159667351,0.427959436854253,0.4293033377070183,0.6195842882589002,0.6877843982094352,0.6017415417869776,0.4434827512333727,0.7347995765438515,0.6854685111135911,0.4139762791542708,0.37044969645517944,0.35839994770850886,0.42698488435178555,0.3148660402285011,0.41355844516392454,0.30075526677804615,0.3346410862392609,0.47716963774978105,0.5596252002115031,1.048646088639778,1.6842686054509346,1.048686796828868,0.6559929425563852,0.46104517900060565,0.4766353613895689,0.37460047964365517,0.4226251964066846,0.342535320006512,0.3742554967891374,0.39551485126836716,0.35007995191469743,0.5842924546101456,0.5772650794878349,0.744705928787655,1.1564995457326213,1.1554783580421957,1.0835523086182592,0.7663991169687484,0.5497329835113965,0.5286924146538456,0.3759696080686237,0.35367096196230974,0.4114267720502299,0.4323116673422781,0.6733405305920047,0.39799986851693236,0.4211810717124007,0.6618076931160471,0.37263485923402756,0.3860623289854791,0.445227995220728,0.4503332142086116,0.5497732613565575,0.5717721301808674,0.7635966520176631,1.350513511800322,1.0137407039534851,1.0241179703179017,0.6655770871175939,0.6952617556848759,0.6452793045702054,0.5331160366139669,0.5856412143872121,0.6920331085593527,0.4785387468031341,0.49535098389882565,0.613526192896352,0.5201219155374179,0.5498875247212865,0.509213771560361,0.505879553475143,0.5664391928015902,0.5542168826194566,0.5427299426269365,0.597538658857281,0.6933785754339881,0.6025124571230559,0.6669283272453295,0.76221699275976,0.7693086702598727,0.7305555292329796,0.8869264003152899,0.8635124376801037,0.9375920709586235,0.8714468936453784,0.754199245060478,0.8463218198894569,0.8823384047478083,1.681450739969817,1.1419929902151094,1.6024878007738677,0.801124269260348,0.7673750805244925,0.7483309344058201,0.7080909302644446,0.7284760792542796,0.6087122057194916,0.7314097267093966,0.6466554367900552,0.7279684041222096,0.6477731151321547,0.8221348837049088,0.7694712784552062,0.7027847504314718,0.8533917678710011,0.5853600691836416,0.6485745145308646,0.5802145172090496,0.6877145567185574,0.7449487914141468,0.9865232903543439,0.8715635152140783,0.7487681615044283,0.758458443715046,0.8928830348010826,0.7830795019447001,0.7614170105085948,0.9596931420443204,1.081737610016801,0.8067193410937693,0.8692207012048283,1.0292190742621712,1.0094914577396692,0.8407860771087183,0.9024274038832542,0.8113833436023995,0.7936746455923798,0.7260043246373713,0.728099140742102,0.7834918232548496,0.6725928774448932,0.6539123153121886,0.6884730356064349,0.7002587157800872,0.6103530086558641,0.6345313358439835,0.8179134565443178,0.6854589896825198,0.6477891044815396,0.7305685072584589,0.9685713947324945,0.9080286696372636,0.845284671589921,1.0091232429285804,0.985181442964881,1.338093990587038,0.8585528404916046,0.7168484898556806,0.6409581609890397,0.8879768472342666,0.818375358018892,0.888809576541606,0.7425185464216879,0.654964330368948,0.608579299701547,0.485941309176492,0.4548853289288574,0.509248267673275,0.5218785502326238,0.661778380335876,1.4102124713167976,0.5245032155301225,0.5689758137659657,0.5456458347684441,0.6281786760844323,0.47341666351059675,0.6910780852215122,1.2357229582336862,1.3848979007628508,2.1224046415042412,2.4357136756671403],[0.44281638865545553,0.3794640259814989,0.6334168648520208,0.33854764205254756,0.4589744391866404,0.40505216585089787,0.3486162325391674,0.40957779845631853,0.3498522689893872,0.31831609130347294,0.33238037896026873,0.4247375033867925,0.33809947916257505,0.36306916529611316,0.452760113252865,0.38115787259794515,0.3980120462491546,0.38836291999767364,0.4427339548085638,0.4497783965424103,0.4429789035741236,0.5238621788599519,0.6410060711824078,0.7424093330777243,0.6726459062329092,0.5893906117751463,0.5116595354878044,0.42683964402041963,0.3909961838133348,0.41637262417425647,0.4236232373189049,0.43371402880295956,0.5413552401915919,0.46971688826642033,0.3997279228391153,0.4173551230518632,0.4102950225998774,0.4262283530413005,0.4050205878673024,0.4668706987987054,0.9341812210568061,0.6530203707719592,0.5348605760431027,0.5152221614561081,0.934428182778153,1.3440493055930949,1.3423297314716043,0.6132141734790936,0.616269134324461,0.8941147042162298,0.6696653287771945,0.7125213780304849,0.5758128659564062,0.5716153346601538,1.435102308950675,0.64164226525699,0.5242709800999676,0.6698121395768152,0.7764276943425532,1.0027588091731214,0.4950751845537047,0.5711054005506154,0.5284204003740974,0.6504972896827099,0.5226825368132535,0.4702832827642046,0.5921726082793789,0.4820018133970259,0.596347073633999,0.5255588163983624,0.84124689480325,1.2045639551527474,0.7226794590705419,0.837690770285125,0.5568609725398541,1.117795660637585,0.44211962739199545,0.48475144624653865,0.4230795873997251,0.5145474560747129,0.4613950823836803,0.5341016608945416,0.9854035946056989,0.4885903205812765,0.5910852892718075,0.4754435296750236,0.44980646158061516,0.5253833973865019,0.40201623105562556,0.5114582877392139,0.4312467789828954,0.624565225459932,0.5134623149125034,0.46413701404967234,0.4415570880434042,0.5085925243393142,0.5703628344224458,0.4729094094253708,0.4693199730214755,0.7723598920876282,0.5154150425147657,0.6347150626892784,0.46365588853959616,0.5195909816249941,0.6342296858101906,0.5302242204874511,0.9075933656529742,0.5395173195307307,0.5512336182059787,0.7151347950923906,0.49726722753921215,0.40927847296169556,0.3623508064796735,0.3871933635717242,0.3775996049240265,0.46684120068279994,0.5000089222032801,0.5079320498036318,0.49772213050425285,0.4874189387297132,0.4348823017157083,0.4084417474663456,0.4691883736654751,0.39577843768725846,0.3739663700908719,0.49892230850254843,0.4510982239869405,0.4421751677751272,0.5274288028613562,0.5155710771491478,0.5433830825367563,0.6761357813799568,0.5312694624376064,0.5573046533995192,0.5032289601978409,0.4741040870696383,0.66542898797289,0.6758118215560979,0.582855350557242,0.5760239272196339,0.7950296215799376,0.791520859251666,0.4880883515484669,0.4545039690574628,0.5286828031348146,0.4379661271776323,0.3846917242434322,0.3804965670958942,0.35946142265508974,0.38159049622940244,0.47922286184433666,0.527031587652009,1.0218234096103898,1.5544764626002592,0.9851412998439825,0.6517835174972977,0.46273660618296064,0.4939932201877336,0.40971524875454335,0.4565609931212179,0.3937529140712134,0.3838042725435725,0.3540763056561336,0.372799302096251,0.5785017805212875,0.6542554297236904,0.7770274507893783,1.2057350474898945,1.203396001590472,1.1138935880880534,0.7799842148123003,0.5629535834333351,0.5476229951683946,0.4199575387393647,0.40298550556277823,0.44601075006636626,0.4487406964251705,0.6763303234145814,0.41636908751594776,0.46582226116125436,0.7038547229906467,0.4259382756425302,0.4571166395829884,0.5161901445527701,0.5334259770710884,0.6324311684548931,0.6916912032291981,0.8882843300645297,1.4819648710017606,1.0394462323810434,1.0383074951475906,0.7317895147313391,0.742623259954604,0.6968381733196476,0.5956646750418864,0.6774672905573959,0.7461188336940037,0.584378830325903,0.6056985297043559,0.6994958622087056,0.6182149809490604,0.6483099680679318,0.6101554641147262,0.6123337703272244,0.6593024206044014,0.6443789949392393,0.6404420191856609,0.6875477631603814,0.7808326906918104,0.6766887636115632,0.7373793756200575,0.8506277456656576,0.8646275601173984,0.7795270239101086,0.9716031841554583,0.9199056574399962,1.013917662494044,0.9647712656537762,0.8483992086812834,0.9530089937812817,0.9964582508413293,1.6355246897780733,1.2484966179120478,1.654555875352621,0.8904380087267354,0.866016266374096,0.8459292282791944,0.7939815428290499,0.8478048624019335,0.7195756840428248,0.8315527397345142,0.7460234029594845,0.8332797386610207,0.7812322816891757,0.9095655652818544,0.8878723566923687,0.8239878334468652,0.9353333152606599,0.701190212341229,0.7420460903938937,0.63919063618332,0.718414075852729,0.7652766849831127,1.0429583530221305,0.9190168823542201,0.7812996351706526,0.8307382900178308,0.931232281506879,0.8385109937070919,0.8380014827559884,1.0174077161567476,1.1366472196522106,0.8929662942440257,0.9644608433978689,1.1302172529246446,1.1417873744589166,0.9552149223850409,1.0219024100598628,0.9173219245961393,0.9027275950119383,0.81253686679555,0.8244034294813111,0.8851515028012291,0.7604936800281525,0.7357208855834989,0.7903874647761793,0.8009737705938952,0.7081670315326403,0.7319203310694995,0.9295828551829304,0.7974168352578507,0.7686373589830244,0.8417319434879903,1.0470242434286898,0.9996853418099914,0.9677890700781527,1.1388682247120865,1.073625256393671,1.4503266268074424,0.9635999728337713,0.7999878759589626,0.7418043937953444,1.0391188080747022,0.9795659434742877,1.054883398758895,0.9111752393054187,0.7775351646581529,0.7092298173920587,0.5752177243023392,0.5524571619186927,0.6429270851796025,0.619331103493488,0.7133375867846344,1.32656529234261,0.6041030628917784,0.6267167797930613,0.5706649426900107,0.6340530324913237,0.48596650311399064,0.7068572944598613,1.699099938459294,1.4539736817356972,2.2006977561500465,3.46122089402194],[0.39953726563547276,0.5314103442169696,0.8911523494734629,0.488290455716548,0.5811531249962181,0.5703867887259054,0.5068678200644354,0.5532698314213188,0.4211432922439065,0.39755871548080424,0.3994739663909059,0.526515097040467,0.46098628379106477,0.4025987852035812,0.48312512868889224,0.45335460582015524,0.4584076781923071,0.47699419294359774,0.4579698680585249,0.522161824839395,0.5016248571641528,0.5707392405888767,0.6211157012218211,0.6805545941648334,0.657336085911389,0.563241386436624,0.5474224050953297,0.5127868283612103,0.5049404068675419,0.5397495417594933,0.4750800182811429,0.5419119567768583,0.6256084353114449,0.5487094619906046,0.5076150900634794,0.5365490982908148,0.569960411830418,0.530550786345664,0.5115199803175354,0.6159050891400154,0.9847248262524398,0.6909709224015795,0.6068631139467305,0.6631644135373186,1.0070430391423815,1.4296846153091776,1.3939217213456891,0.7140269687641772,0.7360515365896608,0.9631252526284645,0.7450233067272619,0.8260713690868002,0.7327818859475179,0.6937043164665293,1.4951116021150992,0.788407887084835,0.6451200963554387,0.7686278242852423,0.9081471091385959,1.0831712164686438,0.5698566229613234,0.6008679359018728,0.5521979633601998,0.6688007780269127,0.5718719969288362,0.5471687362805795,0.6789436886782813,0.5621467412755596,0.64171597447914,0.5643637932156851,0.9055983001862,1.2065521541642221,0.7193494708927533,0.7986892415514969,0.5886366980955235,1.0277187805135681,0.5202666147376095,0.5354249806769098,0.5162417793548623,0.6195034933368677,0.6121739663040329,0.6727774428270732,1.0509386241902905,0.6824578663652737,0.7099655512184977,0.6374280725203398,0.5806853510514592,0.6705901148428198,0.5090444490632897,0.6146229862954177,0.5171140782203473,0.6351126538927591,0.5603111171119202,0.5081952048556782,0.48828447493407856,0.535523048667415,0.5838012886306534,0.553685808207525,0.5719042865329454,0.8289107446359695,0.6194260766967483,0.7455943651701323,0.6292012671019567,0.7115594530917252,0.8697877516872511,0.7555179810392412,1.1025671048485537,0.7575677764588004,0.7651922271354473,0.8512910823123307,0.7296881145376489,0.6148742769951339,0.5363369238003721,0.5195061760548332,0.4692138387271353,0.5444850561465752,0.5651636259574232,0.513830396950363,0.5354423234012505,0.5403019332620588,0.4512997149287042,0.45418607116548804,0.49419706386125456,0.46642675777302994,0.4737796634238413,0.6579518153288314,0.6716328559702954,0.6349091507688738,0.7516719605672121,0.7449770310687015,0.7741759677624497,0.9452678779731786,0.7809296982953032,0.7940926129494994,0.7027497446299996,0.6336236821811307,0.8398772667890144,0.7276113765078254,0.6032557573889819,0.6377470068712385,0.7383800068660351,0.7263037350133438,0.5440173581461467,0.525885164804439,0.6403710699917318,0.5290734161416749,0.5183750030772782,0.5058714945894291,0.5331966919064849,0.5284849746768928,0.6266934207736083,0.6053978618267747,1.03607068884166,1.4276312828065494,0.9301782122624774,0.7035866037458364,0.5885212176541403,0.6471519349145692,0.5618657480162584,0.6392505309337834,0.5839842242233566,0.5379580594909021,0.5217106017018349,0.5374873506891956,0.6629853981347528,0.7771530355239556,0.8358482225302852,1.1759937516400611,1.2174559074695723,1.1375573631697509,0.8561907700352401,0.6574884468976213,0.6475229594815093,0.6447141917429735,0.6232456520389216,0.6631111177253365,0.5956063981530643,0.8066023993878093,0.6111913189866455,0.6852746401314523,0.9394197070184577,0.689377527313302,0.7282313204926043,0.752999657786286,0.7245908010632878,0.8011335116754394,0.8144274823410335,0.9590412040355007,1.5305965554215015,1.1112915950570983,1.0280681559946019,0.7651813391269274,0.8067672489358119,0.793473050968201,0.7819408886777897,0.8818976614278032,0.9236921963740452,0.7536995862178862,0.7767213760848096,0.922647479643031,0.7984281790718308,0.8395786852108194,0.8226464079141218,0.789490183289699,0.8127440655842368,0.8184652696667694,0.7877959757590992,0.8213765618390396,0.8892644556445265,0.8113447850434135,0.8342758605029186,0.9101857541775676,0.9511296033850479,0.8638478244001278,0.9413711378940114,0.9619514924865044,1.0039211039542582,0.9899182122672171,0.9009487870736108,0.9540265123757966,0.9923332489434945,1.6353011016646426,1.2633582505711098,1.7183590872004584,0.9752538414966642,0.961355761487013,0.9573533915482816,0.909533165802818,0.9448693428902379,0.8585021320325097,0.9768889565067725,0.8801190990593329,0.930530459778622,0.9123307139490519,1.0580170863220095,0.9685086127590153,0.9392085568606706,0.9592122547984276,0.843548172661534,0.9226340207872477,0.8060184114929276,0.8810747679767162,0.9219994765322246,1.1415278268545102,1.0627076078323416,0.9415859726388853,0.950099249014354,1.0462760415038437,0.9500181599663248,0.9501419402255703,1.0777747189479552,1.1862530238018432,0.9889848476671059,1.015328013197048,1.1344527369731154,1.1546921490364486,0.9881704530080913,1.024537071989778,0.9612192790972788,0.9638925512015187,0.9234980288156028,0.9293435909372688,0.9549002571496406,0.8715915437389856,0.878622145833199,0.8738449905619692,0.8794277218115966,0.848267244539744,0.8489663269586997,0.9533558078561929,0.8738139402793088,0.885434789882047,0.9427325720651015,1.1196549572012549,1.044538182226748,1.0197290148393627,1.1513734644732283,1.0705974795851325,1.463119186506431,1.0147091773799368,0.8969042439668828,0.8693524354331612,1.1280643922479558,1.045125626160535,1.0656090020488327,0.9636785030516193,0.9088386038968176,0.8454085028537726,0.7646795474618214,0.7016288499444303,0.8526483291439906,0.8318589043683192,0.8828448015623418,1.3409365124418993,0.8132910668318896,0.8255826520853092,0.725421545023663,0.7646201296707529,0.6724940028623346,0.8469481202686698,2.0751494084014688,1.8850267530323783,2.690310950138443,4.106428144332288],[0.4517551045950176,0.5130424767022614,0.8088122687273803,0.4005115086181197,0.5894150528796954,0.5263796781348468,0.49323998904950506,0.533787381752072,0.4563113104505492,0.4255676633207733,0.42112076221816713,0.5346009283147292,0.4781892106946505,0.4271486634636803,0.49729082651952006,0.4784815772417387,0.46431488087882306,0.4915427582264974,0.502844134605395,0.5478502555360011,0.5422181008486322,0.6136568145260212,0.6690893599597679,0.7522305432745424,0.7439604571186884,0.6277303052902747,0.5994771370371537,0.5258150863738458,0.5014836761770178,0.533036406016591,0.4815939569468992,0.5625070811096524,0.6235600999654695,0.5663490589175638,0.5323778563825348,0.5430781235074592,0.5654793700966454,0.5264062558287242,0.5032561482160341,0.5982389661586559,0.9995587092666217,0.7134643961561062,0.6186427256311317,0.6364375628661486,1.0606218374788507,1.4586867801879575,1.473548883149835,0.7388426424169233,0.6980415127930892,0.958145800960004,0.6908098775661647,0.7779447874234167,0.6680493563843048,0.6517369126850892,1.3969741936641842,0.7117694779155036,0.6555725767452986,0.7258974719520672,0.8317760310866515,1.155327100114309,0.6022292968771703,0.6173630433097702,0.5874264483315529,0.6846296374534525,0.6279019983960934,0.6019557273357242,0.6608976624396382,0.5627587745688271,0.6604539865398539,0.5938055480318534,0.8757394602861839,1.1427935054338103,0.7229005840041828,0.819182232546529,0.6278001637290473,1.0940752368964397,0.5333769853021063,0.5357485375991131,0.5253439899657742,0.6247472565078482,0.598334751299353,0.6478980519698361,1.0486401387963498,0.6166051671633945,0.6724996545943419,0.6090947599809005,0.5712602749536401,0.6500585546345087,0.5224081673313807,0.6345656718026241,0.518672047687278,0.6429363172007684,0.5569525505706888,0.5104534590028348,0.4991151261372152,0.5307864763319118,0.5774749105755592,0.5643649368260919,0.5877557792162462,0.835205026706695,0.619687813629843,0.713163605522952,0.59774624296039,0.667971372147831,0.8094360085130508,0.684826904025524,1.035158302273991,0.7184995762123279,0.7174802871360583,0.8387520989852442,0.664171607888553,0.5724249581611758,0.5145423566948861,0.5068936596395295,0.46792092548099484,0.5731496786036572,0.596483858673042,0.5540323993272672,0.5680804386184154,0.5526912058667073,0.48530486138106743,0.4923911354871215,0.5192334331269043,0.4667830482012552,0.458839254481875,0.6382973141962662,0.6018439296377548,0.5986009596217858,0.6990047470757415,0.695008576359944,0.7295019389915495,0.8645708445654594,0.7279231213377242,0.737406193732779,0.6556583565826843,0.6117651217317537,0.7595579200070706,0.720671400710256,0.610516548215208,0.6559780749515297,0.7821548941715932,0.8055597328177234,0.5712273684508037,0.5422250615850107,0.6203850861691106,0.5189413600898282,0.5077054333362316,0.5193869003455366,0.5086243821210386,0.529818492236912,0.6103084144963107,0.6120337978601685,1.018907662851504,1.4493112147681761,0.9860464582638103,0.6988498777360632,0.5809359748794001,0.6190091868852026,0.5495840146064545,0.5982528593477604,0.5386892379956559,0.5183280354808258,0.5005076503673224,0.5176814018881613,0.7031991025641487,0.7968644700338955,0.8532575109903251,1.253979749387186,1.2744102425801282,1.1494597594195686,0.8514918259040223,0.6375256174045995,0.6502608082884961,0.5927934942938435,0.5603178131663791,0.6053187519539882,0.5539503921143104,0.7534080711727407,0.5495792027642645,0.6256675583623423,0.8798638605626788,0.616109572235585,0.6594174060115716,0.7104562105471345,0.687615027021591,0.7582996072973013,0.7859546548774647,0.93340911752755,1.5272014965872795,1.0792560680095604,1.054351442139278,0.7741403633686386,0.8224476425707956,0.798495740342748,0.7645656610049002,0.8679824872998962,0.8805242753207901,0.7473125796964095,0.7655733890729899,0.855276801698419,0.7798525914848711,0.8275275160109117,0.7926033438951223,0.7789310171890601,0.8100393150110814,0.8129745079962589,0.7883415347086075,0.8212579388981845,0.9116226472261829,0.8234170985478679,0.8424888031613645,0.977262903228236,1.0199013231669805,0.9265341283459955,1.070282802689174,0.9719552531487832,1.1190291953913243,1.0121810034559249,0.9388901487652054,1.0298837905366724,1.0687734542627523,1.5810073278113228,1.2844197924650944,1.6184830644288934,0.9816242581077121,0.9780167054550652,0.9618593133572697,0.9198176967202345,0.9937145908732234,0.873849864185355,0.9816610875032806,0.8857219079057601,0.9513536409441724,0.9332939100921652,1.014188038509769,1.0223310878807732,0.9598063371890974,1.0515331035934956,0.8548272315624228,0.8709797114169125,0.7671979715575574,0.8242526027383665,0.8664277014688031,1.1249854681766087,1.0104638559832835,0.8935223044340527,0.9540420869489904,1.026504371825201,0.9503404284002677,0.9579564777887165,1.096913565127024,1.2119118427803361,1.011533654857837,1.0676926090703136,1.1975123705406687,1.263562541806123,1.0715251601034028,1.109075922623501,1.0323188577642555,1.0205414090106097,0.9389347253440434,0.9524479411070977,1.017132899580157,0.8920008403824123,0.8672896465475426,0.9122202529357951,0.9168878502944062,0.8362446167079532,0.8480927334837158,1.0405806594645683,0.896238286695824,0.9019166996552545,0.9588826159576603,1.1386574070606033,1.0809573102311298,1.0527103758831207,1.2151731704864843,1.1349291921378446,1.523989954460204,1.0234486238878295,0.8711015770977156,0.846244367273008,1.148774796345042,1.0852507825132638,1.1426412275833169,1.0243151515959996,0.9161151143174796,0.8518625635282369,0.7355582670886305,0.7154210023515588,0.8442053402203122,0.8035233966042774,0.8589563329227082,1.2604832714850922,0.772036713786321,0.7894871182150819,0.6772467786698325,0.7035488616901792,0.590031189272397,0.7629345201574032,2.2019680020454024,2.365100017030934,3.481966294978012,5.447307500687042],[0.6738782280529876,0.7500243659806141,1.1099959940305995,0.5990066243275652,0.8097520469737127,0.6809972712276504,0.6713927653871609,0.6819099302501365,0.5425682104699023,0.5294884756645198,0.49518121600059034,0.6224416586258367,0.582269809588636,0.5218373805518292,0.5701321299947862,0.577201771380002,0.590207284945824,0.5964228117648195,0.6234386908025512,0.7137119598903933,0.7004192780306155,0.816962916687057,0.8223411879407232,0.8838570744265237,0.9442634939689921,0.7969482516348569,0.7991452585247804,0.7073880346543955,0.667801978587929,0.6869382985677775,0.5828632077533982,0.678721381067728,0.6965830529744438,0.6637634498847557,0.6555564171085154,0.6888935964256251,0.7348737154403578,0.6898445221978983,0.7105813150567596,0.8329250206071795,1.2665365377353517,0.9278875919898979,0.8285879868971651,0.7692724032385193,1.2473923426032043,1.6873528841385643,1.6742439852337683,0.8828374394171259,0.8922685664581022,1.159018703983796,0.8819480240554031,0.8862128977538788,0.8634085904211657,0.8249599233644809,1.541887536043579,0.9299624158315487,0.8004730603082455,0.8716268992682166,0.9687925203616962,1.1559766993824823,0.7375093341109652,0.7899150917608179,0.7338103274144008,0.7955599303271235,0.8033312146461672,0.7622229198620752,0.7226917779327172,0.6553783049708484,0.7320771998285966,0.6511106954042222,0.9588602325481501,1.1985157783210743,0.7642047526859447,0.8449437732845864,0.7212423848225987,1.1190350740191428,0.648699450178725,0.6406658808210101,0.6649006543354833,0.7475562061236174,0.773963869862312,0.8440211150267489,1.0980958421129061,0.7928432257340163,0.8899264696428978,0.8103302853318184,0.7625467294244705,0.8096959984393032,0.6558713683364228,0.7402869251237965,0.6318951056029102,0.7127510428769486,0.618531811546963,0.5831810627109957,0.5723154656862541,0.5899242526031243,0.6252243206812745,0.6401019599295713,0.6835018209702366,0.8985082047942997,0.7430669982564574,0.8320769655087428,0.7729895244315695,0.8561730558670791,1.0025782536457126,0.9221053990154775,1.2818249903585408,0.9703721389154428,0.9653882153831973,1.0480922715009435,0.8828573146518351,0.7991304175984169,0.7192187846279211,0.7109446101952088,0.6488259042829304,0.7431039883117887,0.7700600639846655,0.7240164245103038,0.652796552665062,0.6590418341928616,0.5810470713938747,0.5768962806857474,0.6472890967140612,0.621393622567644,0.618309692969489,0.850369199225092,0.8181357557272328,0.799550653612798,0.9347202241244784,0.9484751012311377,0.9859745666309604,1.1559050448769475,1.0142034017784545,0.9702398479544868,0.8854680083508687,0.8027193408989918,0.8996545930229983,0.8181638646698176,0.7928199775017482,0.8765088932410796,0.947296732348646,0.9867285249298166,0.7829065510403994,0.7709310544465732,0.8785763034912438,0.6826821716047179,0.7020046377709962,0.669598674073671,0.7217831150841778,0.7012726224448241,0.771885444846001,0.7283468568364135,0.9988377375704306,1.3283564388269213,0.9682544136760881,0.7632644664519735,0.7011615610195471,0.7743851004758603,0.7357918551649264,0.8055108127543693,0.7617281013767057,0.7074335000607459,0.6673803670306144,0.7213634536206299,0.8378636387450855,0.9667425276974849,0.9775610939331123,1.3140780798368357,1.3529716942789414,1.2348746066101024,0.9936830276482961,0.7996803431740389,0.8329397913115281,0.8177560349537708,0.7888117713728818,0.825964599300905,0.7706921697993264,0.9675445531583223,0.7651177297650205,0.8944182466675784,1.0364073580207236,0.8592763186848928,0.9123098350161033,0.9712614292775298,0.9427965263456849,0.9899367324443203,1.0077322117349963,1.142617492704455,1.6580556999455205,1.1542600630227577,1.1115448306646696,0.9818386448520788,1.0183826035617258,1.0197922018160777,1.0157061228876152,1.1102823729220377,1.0904023860172,1.0035648294877106,1.0268458109282217,1.1125571120410256,1.0587835711262001,1.1074386538083332,1.0697544836200155,1.0501685232654896,1.0794784449796941,1.0818919030864222,1.0662780730596737,1.06807390883116,1.146852886308669,1.073854786687298,1.0746550422245518,1.1811942132007869,1.2154087949198387,1.1654378882282248,1.1830434453243492,1.112285397883554,1.2492304961107439,1.1331172552295083,1.113253870947659,1.1654204382223279,1.2013530706235844,1.6425830851773537,1.4080995205962075,1.6850970083144314,1.1624762700470517,1.1852961464940912,1.1983307929209608,1.1713598113936456,1.2085276304580612,1.1175177296739585,1.2276998636928393,1.1181887795922694,1.1596296388117242,1.1695336753205978,1.2248343112931772,1.1922547589053165,1.1577704274217309,1.205254724456777,1.0922701164741253,1.1050469424334113,1.040756787436259,1.0943029023487079,1.124809775574764,1.3458788305534553,1.230422024458705,1.1455465224168797,1.202968204959355,1.247153882893473,1.1870246764365715,1.1992761968015404,1.3049971780649814,1.3919180139417937,1.235248562315767,1.2764425900477379,1.382980357641347,1.462269364288422,1.27671979324495,1.3009241599801993,1.229435297318839,1.2302196868732065,1.181215232820814,1.1872464809547478,1.2176509440961782,1.1181687461533383,1.1067798024936182,1.1050374960282026,1.1033933684960922,1.0575523401203808,1.0572774354281724,1.2047678087182032,1.0903527056538347,1.120492797625791,1.148142466039789,1.3161416094855471,1.2528819347152678,1.232677146449134,1.4086641126121549,1.3131107172371437,1.6819353972738151,1.2382251310122232,1.1030309570504617,1.1168864670807994,1.4352009333126219,1.3233206842144127,1.3336498352955188,1.2493601822156521,1.170658737691183,1.0657260073336168,0.9883748539746893,0.9572232974753481,1.1087121028137221,1.0601172864622834,1.0961898574833038,1.3632307609478702,0.9822082556718833,1.067303583991931,0.974745645497847,0.8466870612197449,0.8579332236246539,0.991132414117583,2.5277844660237094,3.325364915657811,4.80663460367775,7.038561516242254],[0.487864060196863,0.6321652336390371,1.0154977977338089,0.6207680767169689,0.8369154382291604,0.6581886175202128,0.6787131956234541,0.662283762803773,0.5464591220142967,0.5586290854844844,0.5121146244544684,0.6111060165599757,0.6126846966552199,0.5615271722536848,0.59444450344021,0.6201262925346822,0.634078030242131,0.6604867583437771,0.7087297738432137,0.7862504533136994,0.7895752326569716,0.8927412833533612,0.9286428402012066,1.006962019953337,1.04031590413283,0.8915455636387466,0.8941863966669034,0.7751549416156802,0.7251395544249127,0.7224460620759283,0.6263986123520502,0.6882760981049714,0.687515766402363,0.6826535386174011,0.6922949792414967,0.7334422603335896,0.7615850440978909,0.7554271386612533,0.759997023932054,0.874692540760208,1.3014075121494393,0.9961876034366174,0.8957871555314894,0.8344654528031701,1.322183317723797,1.726904580007241,1.7453582690944336,0.9480245323709561,0.9124458585677061,1.1894087132006221,0.9081905270892183,0.9036481035597151,0.8969460615775446,0.8721259761540824,1.5395582994333694,0.9413396188721221,0.8594304902072721,0.9208108557498781,1.004438021624714,1.2067643205442489,0.8096977985324256,0.842511341508849,0.7903353886261827,0.8626454192008124,0.8973496871061662,0.8478213075357605,0.7700414432088024,0.7281202293910376,0.7909656748074878,0.701107924538542,0.9728892740644004,1.1642261396635099,0.7990013516075968,0.8702165592607282,0.7830764762131578,1.135374342292876,0.7095301346748184,0.6919244810948919,0.7105341488394298,0.807441591700595,0.8107775011311191,0.8742778315601848,1.1090191003302399,0.858656273798258,0.9228932401719998,0.8387923504103677,0.8154008973596499,0.8533388270182982,0.7166645876895925,0.7670488358266194,0.6649831858314444,0.7344747244865649,0.6497500376932858,0.5892001892190323,0.5835942705755346,0.5864886658544218,0.6388448371619091,0.6220219605820665,0.6499569159375627,0.8421224906743711,0.7217891840034562,0.8158069141806705,0.7604169702763848,0.8383573310607239,1.018486657799171,0.9067078894044494,1.2181679792838533,0.9605562495505832,0.9553555125914113,1.0159773190450894,0.8706272024483913,0.7993282995394133,0.7200423861776318,0.7412348971516817,0.7035327414554401,0.8309440651947977,0.8460115098421688,0.8139556267546605,0.7552270918976732,0.756951157455356,0.6894223097106441,0.681047167534432,0.7512011955317818,0.6952662386924364,0.6669885726937129,0.9010081744293214,0.8183119372197181,0.8298302304203428,0.9662107143191346,0.9667574312412849,1.0089793318927984,1.1510162613577133,1.0343900746719599,0.990358256181037,0.9242003301554031,0.8524748222037872,0.9408398888421089,0.8538655397017532,0.8479762301441783,0.9471892833993172,1.0011595937861388,1.044465290626972,0.8629989643541041,0.849496358762201,0.9362414674567561,0.7292502384941648,0.7476964953629303,0.6892405587248644,0.728884116912911,0.6974672594103485,0.7585123309554356,0.694226092694611,0.9943850249396888,1.3408167711069847,0.93909973555769,0.7261986664115437,0.679577994299982,0.7637526710949897,0.7207743316652885,0.8065291510443864,0.790430967706242,0.7536993602790596,0.7376121755345991,0.7726233052345765,0.9054557218997199,1.0466762706256716,1.0472521054148305,1.3932800412809028,1.4172599915035011,1.2913350231099523,1.0453079862615826,0.8488350604966752,0.8749617156214538,0.8564641116174327,0.8218243599256048,0.8344334492604186,0.758175270025782,0.9328376348802536,0.7999983101199658,0.9049433023595508,1.0896858960843196,0.8849492266457906,0.9483750741398752,1.0083002298557922,0.970167025669669,1.0262730059276859,1.0416179880307297,1.1801050186695548,1.7106031326110267,1.2436864370638792,1.2080757453063549,1.0370379564587855,1.0554497219918497,1.05266343089543,1.054902739968224,1.1503917129610193,1.120065521792375,1.0045115504435282,1.0165756050014243,1.0982491698885697,1.0005655134084168,1.036503047390532,1.0258372917751533,1.0101748568304867,1.0081869876429952,1.0297460357585981,1.0426062013938695,1.0067056288798568,1.0622163709259023,1.040073299164777,1.0237656922892258,1.116314717417775,1.1834754071223896,1.2105240681642968,1.1977279380584038,1.075455807443732,1.1699401616085678,1.056415721539906,1.0217740482807123,1.07734065726151,1.1080194725107144,1.5125264678173347,1.3090663950026902,1.629555232963744,1.0698377632493192,1.077143218749486,1.0956153339499293,1.0641005465789728,1.118972095000129,1.027392185170185,1.138249390144902,1.0438214862501267,1.097792973806265,1.1153866753670243,1.168851477946608,1.15539639997793,1.1327751200401857,1.2076001772473388,1.060300272797237,1.0663714094030163,0.983937247776785,1.0227614946724473,1.0639219992839002,1.2081779337760512,1.1325082999460983,1.0686536022184872,1.103430787476982,1.1426979653276637,1.0958950025161083,1.101959077844282,1.1761593330910267,1.2722814941034326,1.1420395232782186,1.1639014702330146,1.2552774074281445,1.3471265265368613,1.1759014931284357,1.1931027458975705,1.1443105019658715,1.1361344862674818,1.0804037529968713,1.0796339835068864,1.1215199754123832,1.0370299905259293,1.0111600090455164,1.0093373541326331,1.0131189280585606,0.9995021599128481,0.9709349401104088,1.126082783105086,1.0233775018439206,1.0750619542762256,1.0694171558052246,1.2571321971776392,1.1956017881744827,1.1784627120839983,1.289164734014379,1.221312367367433,1.586024016162013,1.1548146935378647,1.0461109299105518,1.0728348329896857,1.3891032575608822,1.2975286307204976,1.3117138031659819,1.2335426764949855,1.1475319601794274,1.0813947440610054,0.9966051014005356,0.9596927963544245,1.0993145477428292,1.019047018025236,1.0272002445842465,1.2735262796038935,0.9492157873849257,0.9764438467495405,0.8578679305172148,0.8213010568423527,0.739085459440095,0.8789574547791817,2.345117938915152,2.9891429940647574,4.5233412017888,6.764634975132963],[0.34137808877870846,0.5411878185982282,0.9005625636056638,0.596460004517875,0.761441742890986,0.6116224315893842,0.6378867209441865,0.605188454967875,0.5254887719141546,0.552508167572635,0.5183693760273218,0.5966781234561032,0.59327437065293,0.5664328942082361,0.5962813388273565,0.6081059225798612,0.6212322139594882,0.6523420346655115,0.6946344892145515,0.7670168154661005,0.7649561277873029,0.8628532664977618,0.8886360223435961,0.9490938409584841,0.9995435548052153,0.8606204868301368,0.8518527941024281,0.7544516606784752,0.6990797813051075,0.687981351028439,0.6156197917715444,0.6594570490831598,0.6680180405547884,0.6564830924762807,0.6524310004109999,0.7001337259657312,0.7130805859693633,0.7014991854556634,0.7063373789156694,0.8035128462963129,1.2758273652624268,0.9561145014990083,0.8440977674713167,0.7830570147444174,1.278024139555652,1.7165081485108304,1.6925290852694876,0.889789338924836,0.8882105630904961,1.1480400810573754,0.850059674495233,0.8456625494854875,0.8237627670810962,0.7962167757307194,1.5115621899878247,0.8898984278463467,0.7988546883865417,0.8666798974001779,0.9587234013927126,1.1617018226414346,0.7604514341011379,0.8068102889411958,0.7562779985635162,0.841572284202038,0.8552242329764578,0.8107646180899638,0.7638786342112044,0.7212371124402905,0.8011297214912737,0.723091368258269,1.0126476659443537,1.2281990411985304,0.8308017551776639,0.8890422211638748,0.7883216401229558,1.142566302786615,0.6916229047373701,0.6635041862733617,0.6702743303136177,0.7559297353878549,0.7483620008018087,0.8119366093811204,1.0736914836805518,0.7435938111540811,0.8477561230445566,0.7728273609913711,0.7589292395195266,0.7991318063846748,0.6747469131348985,0.7371941228430245,0.649063419999366,0.7287587884307343,0.6467535081469967,0.5860263993306307,0.5834596444898571,0.5905787856437439,0.6434765159889889,0.6081139329286316,0.6248207731011761,0.8103913585221278,0.6686980082563407,0.7340587385364397,0.6804622732452494,0.7353417708486939,0.8992553200130886,0.7888560799497703,1.1169978272095304,0.7951408476690821,0.7946844306008033,0.8979655661214176,0.7574601794948699,0.7122578447183856,0.6621443444344162,0.6966261777571008,0.6773139102858114,0.8015223701973501,0.835571093301517,0.7969592009571849,0.7373604497507172,0.750084632254337,0.6833828772411904,0.6759869799263802,0.7356124786335778,0.6883408984586934,0.6540210129496247,0.8608034917897953,0.7595473576101349,0.7452717634074443,0.8455646474847689,0.8388499779272343,0.8723775128081344,0.9999998420012978,0.885226795476549,0.863147134532427,0.806909869214151,0.7548400867703692,0.8608588194053525,0.8053050887670763,0.8039487149691301,0.8979271240982777,0.9844301514470434,1.0213745024044465,0.8329123147542551,0.8116891722399863,0.9025935406051672,0.6885889930772499,0.7113054644471719,0.6483782979141741,0.664490007737558,0.6417563233443523,0.672377524674639,0.631696314371266,0.9345691046352862,1.327377611821415,0.9128956634994232,0.6706720872009723,0.6269608832207525,0.6796018307603715,0.6615209143575714,0.7142798069696618,0.7069726039438141,0.6849357035022589,0.6630376043992726,0.6961022898060282,0.8085521992377845,0.9487116187228509,0.9435490797222409,1.2764439921104087,1.3145104825897016,1.218758781685721,0.9651669972955663,0.7782716699411599,0.7911762445960744,0.7590077317359056,0.7292117774603285,0.7335358546171616,0.6905675456160767,0.849255349344233,0.6957772836336955,0.7833048909034542,0.9869704354691768,0.7594722062087986,0.8072513313627335,0.8615633407505756,0.8517254085663798,0.9301891558754214,0.978774099635342,1.104055274170489,1.6652788424390568,1.1365495607360994,1.0905529046898939,0.9267384202085558,0.9430371951127426,0.9291323475530594,0.8929490816341722,0.9646830843863363,0.9728987582326547,0.835492887777569,0.8388233880930434,0.9481494870742062,0.7990220857330662,0.8406224740049669,0.8573146394895046,0.8028481316258678,0.7723570381461484,0.8094143714484946,0.8371274128485621,0.7681800765152466,0.8187623947486412,0.7924050835735967,0.7609723816432482,0.8499370952074083,0.9490100943675149,0.8513374710322282,0.9382049217421629,0.8902038345596599,0.9079094098345613,0.8963800542134842,0.8252649976752149,0.8674109176501956,0.8884110613360717,1.495118936479313,1.1225611200322438,1.5551671958328936,0.8799306488135915,0.8791636800952031,0.8849744353271127,0.8548891170418649,0.9298398831435847,0.8150048384286142,0.9417516208781838,0.8499833448197778,0.9184516083655135,0.9204613975821959,1.0243920335465726,1.0080539106506705,0.9678576053632032,1.0826115835699948,0.8860535962498153,0.9064197882974949,0.7740445300342845,0.8106371619615524,0.8615076050044458,1.045675712917307,0.974559376893307,0.8904858240265399,0.8875202798418818,0.9462028820118809,0.9109188058973078,0.892989096796839,0.9828455902627995,1.1176057540641187,0.9267913432983551,0.9293949305039197,1.0582522885374377,1.159711788472749,0.9230362333995695,0.9362977367827094,0.8804435015578075,0.8753113546197138,0.8328731001122633,0.8284648991372143,0.8673090334405721,0.7863639700765267,0.7800319713968534,0.7883669280924408,0.8050005979320847,0.7827634821330738,0.7680023645016346,0.9212847919368145,0.839400365454975,0.8756111234035598,0.8791110184203065,1.0745776003503469,1.0342671650299962,1.0043285228828747,1.122553231568099,1.069096670409313,1.3865233583634706,1.011847140202069,0.8536260832464838,0.8825827764065033,1.2587733944428963,1.1652323523501824,1.1664242612243056,1.0933796067679544,0.9842660102963661,0.9462399717284792,0.8385135246458588,0.8487276238597693,0.9676336106939636,0.867783629173073,0.8550983876364872,1.2250437691345868,0.8334331863417525,0.7859458750538006,0.6456302675902731,0.744228887467066,0.62038927637377,0.7085893829081461,2.0201965073013026,2.220023122470813,3.4532019010693458,5.186853691533485],[0.30825941920924804,0.36812173875363907,0.6342645903030256,0.3801111505783776,0.5762730350220481,0.49498863665065423,0.4961013994258926,0.5034189969167535,0.4449502711419261,0.44260352714695794,0.41148558715502437,0.5066105945286506,0.4693096694223719,0.45123622253190454,0.48672055129632413,0.4781644045498407,0.48117545266063705,0.513688643814439,0.5487728973350139,0.5982485110338575,0.5969690180505592,0.6860348945386657,0.7421378153083591,0.808616156132615,0.8338996619627719,0.702305117093934,0.682604380722004,0.57750150457722,0.5380469619450645,0.5519236753299805,0.4887288633397794,0.5632624680223333,0.5863572856900784,0.5627603621509712,0.5395516778506367,0.5594727070511449,0.5708458365568694,0.5637078172527223,0.5401817084925422,0.6297862504227106,1.0636558815689505,0.7876376353653857,0.6750341782313971,0.6413508200529109,1.106236982573948,1.5023672316401298,1.5242765150995141,0.752662114527461,0.7042332337032051,0.9721452249876172,0.7126014743505336,0.7838174695568608,0.6950126389384799,0.6850799130646837,1.4259394994196615,0.7323214899613054,0.6769411360284353,0.7392146690544488,0.8204061634568033,1.1415454789203647,0.6308936699048544,0.6601810685209957,0.625768382068248,0.7270004418241962,0.6955042465644847,0.6519063447667659,0.6500174980195497,0.5843740297746832,0.6890870281838387,0.6033039572616316,0.8821503405515175,1.119035107406155,0.7228607292802605,0.8051636793592738,0.6688312305476501,1.0934820133258976,0.550029683797091,0.5472085273193423,0.5478412305880636,0.6201118825110316,0.6050585986169474,0.6689987632704729,1.0228382642794518,0.6140407564078723,0.691552793373558,0.6238987730492328,0.6085120767099659,0.655269067622837,0.5364540451019592,0.6377673992891294,0.5251049619936473,0.6343252988355559,0.5432294789498902,0.4880224598154091,0.4807309782175745,0.49788672561272973,0.5475115971918303,0.5235533941408427,0.5432880206470201,0.7706033264509248,0.5802993709132392,0.6584960213327367,0.560382747361705,0.6222300236955468,0.7782395855412382,0.6464290986870652,0.9656377858980513,0.6513774404856352,0.6561618524996552,0.7834131697197699,0.6247081767236827,0.5533952526305175,0.5094383646638287,0.5249454161035542,0.5023406952814871,0.6274439203222425,0.6570621405157873,0.6254206952509376,0.6027180707260449,0.5960307183370902,0.5441148134600096,0.5452403807882471,0.5814011817479596,0.5161280876351744,0.49313756646601625,0.667461263740901,0.5826871104477501,0.5846350538183861,0.6820596001371426,0.6716529504040468,0.6987546323308937,0.8176403110447672,0.6983148093234999,0.6972894560586499,0.6350640916039794,0.6014624379727556,0.7291802883531615,0.7014960961828756,0.6317255125680071,0.7082822193343715,0.8257707356922115,0.8652561459175412,0.6410020903639059,0.6043853055095216,0.6864254613402129,0.5363445643449712,0.5347539366431135,0.5176146348006904,0.5089271847064977,0.5187025991935463,0.5724200008357847,0.579800511467685,0.9368091685140685,1.4079188874134319,0.9508077533197876,0.6334667681503368,0.5434778311114247,0.5840056236916967,0.5343461393770835,0.5786585620746969,0.5392297203948223,0.5349357620887875,0.4947023960569196,0.5222923704096375,0.6919468952103963,0.7983511423538413,0.8468490268438538,1.2401692080049616,1.2537812728195048,1.1326333961812307,0.8351893651168036,0.6301878398711326,0.6429814657438422,0.584182704268471,0.5595750061393897,0.5912288302161288,0.5566094478074939,0.7206499065135916,0.5488295107393594,0.6155278552284672,0.8734111344511258,0.5935724586209081,0.6389738860731194,0.6942083313788987,0.6728628822866248,0.7629641048320811,0.8131768814909918,0.9618517182589246,1.5500714989113609,1.0951022724524824,1.076345377329085,0.7843100395112258,0.8210691535900472,0.7880293739800011,0.7396710183184143,0.8341213667056425,0.8492344435412277,0.6828351402245073,0.6860034096492826,0.8064295955365608,0.6670420468269148,0.7170264976912982,0.7106015739006396,0.6734548098860803,0.6832836757947112,0.7092214508305045,0.6883146968080524,0.699442993331059,0.778880538203696,0.7273626391881995,0.728499160403559,0.8573680813169192,0.9352484095504664,0.8625810787717858,1.0046796190799747,0.9264874783752363,0.9647861070505298,0.9011612273100524,0.8103836901308464,0.8925621872208023,0.9022036076973508,1.4702711792150711,1.1371884047631646,1.5535001085503624,0.8612258845835918,0.838590901605703,0.8285937873361344,0.7788949119280304,0.8725619057112775,0.741847608457633,0.8571594915031651,0.7733070287940149,0.8501013531079067,0.8260280118482352,0.9229245219547186,0.9482909020662177,0.8695763840657069,0.9934098190725581,0.754021776336795,0.7933109595297391,0.6583910890040336,0.7196010771822218,0.7775035935540204,0.9874750530878674,0.9123533531511434,0.8108897392590627,0.8288367501552086,0.8924319195815169,0.8413559513695663,0.8294033768526012,0.9459998531746966,1.0874083679394477,0.883359763254728,0.909306113560346,1.0422946262344497,1.1342735379422995,0.9224409154201934,0.9469797933195274,0.8844111058400222,0.8651874645785711,0.7918803267046977,0.7888166267106095,0.8576830170451933,0.7559312048676851,0.7231225431383795,0.7697314216270661,0.7839779886765443,0.7204211902435492,0.719331871750204,0.9034074965754532,0.7657864398012066,0.7861004761745645,0.8368678058019801,1.0222915951637228,0.9782642545110244,0.9246253990884477,1.0355496990698554,0.9931183162959816,1.3589699801820445,0.8963973292467611,0.7627810957369127,0.713849778589082,1.0002527558006946,0.9639860206936653,1.0258723901491975,0.923061967272892,0.8165250161837037,0.7907894848320546,0.6767953237800685,0.6746387863366925,0.7997636838310875,0.7500355252510863,0.7747249931224542,1.2157020903648086,0.7363901423549712,0.6677610851481157,0.5556328154190481,0.7102028016774048,0.4877986041904396,0.6810046477128423,1.9206010829733007,1.8966324676436261,2.979816815167473,4.7382299724524914],[0.4028939706296948,0.30439954988117335,0.44620766969289255,0.26789687314584915,0.4049403935705153,0.36955737981624204,0.3307527833518083,0.40030784065214237,0.33231474134324096,0.285795631332225,0.31434969630848697,0.4105637259485453,0.33458032950485944,0.325223938930784,0.39872098837058406,0.3683595363313155,0.3579447266571361,0.372808597334903,0.3939144022705783,0.4222390453226154,0.41934643677128486,0.4938009809137077,0.598365838706621,0.6543467401920665,0.6248467235599441,0.5202574242031746,0.4617967357231452,0.3795947268182297,0.39994844975550053,0.4150504296232585,0.3928740009549355,0.41548871054872705,0.49168267224794926,0.43654072696234664,0.3925407225132393,0.4097473839927102,0.42041787583069434,0.4094706454724779,0.37109706421585387,0.427040119881019,0.8544793235689045,0.5945186747537218,0.47899696717725887,0.5335930783594101,0.93718574721735,1.3507171217234737,1.3397301640860377,0.6204905880704426,0.5776029620869509,0.8353882388624753,0.5991654468231377,0.7395594607889597,0.5561016893265699,0.5329972539959361,1.3528523457423243,0.598202358146163,0.5333638315649494,0.6228397274088462,0.727256805872941,1.094752702181802,0.4840408231478501,0.5401236189254166,0.5005564589971502,0.61841056470436,0.5168413068703313,0.4990946359158152,0.5688479955460577,0.4694514146137481,0.5766061765979456,0.5301647299786483,0.8389663887733562,1.1428612116546355,0.6847009756204956,0.779541724321685,0.5562889511928308,1.0479982965612569,0.43629516076692415,0.43190870378776336,0.4071332426306029,0.5018368015388149,0.4567888383445156,0.5006248539490976,0.9735438482790642,0.4893918202357044,0.5413944923831561,0.45866965046345837,0.42211655382505536,0.5254299393204421,0.3928907445942445,0.49800102504828214,0.4118167036431461,0.5937513374487368,0.49286797866614,0.4128093087252198,0.399874158547685,0.45792182079343724,0.515071918207503,0.4261880523459753,0.44467636415536466,0.7251616762229477,0.4963608902428408,0.6227361647623063,0.44756011372502724,0.5093001848367933,0.6477527305631443,0.489692018116782,0.8420524149253842,0.5193715636060947,0.5350204513187072,0.7031000724844853,0.47097845330005433,0.36976953593799156,0.3352272772703124,0.35997456926395066,0.3357921819863571,0.4038274871929126,0.4705363958210614,0.4358715500012081,0.4420857685539875,0.43760674146825873,0.3788815354539223,0.37609712233200604,0.3911430665890877,0.3320188489810525,0.3350246435245021,0.46085207621820834,0.400972761709926,0.443758164086805,0.49311712425816706,0.4829077352509155,0.5021150039643417,0.6052086679593124,0.4910879709933953,0.5258513857858722,0.4859068274267925,0.4710476220228693,0.6517103752512138,0.6894937212030442,0.5619092522915665,0.49393301689425423,0.6899913803119873,0.7098218914543974,0.43952321862997035,0.3949376493812266,0.471139696139478,0.4279320469778523,0.35942921159107366,0.40819595708440504,0.3395408270917852,0.3794166669570995,0.4833784091035826,0.5347732518972927,0.9636518978304927,1.4712528245841583,0.9540666468188359,0.6006715604384607,0.46160077194374866,0.49849789619794466,0.3979768248563476,0.4455450639021982,0.36487874095596406,0.3813919581436631,0.36074250363697213,0.3552023600017563,0.61096380910736,0.6203057522987107,0.7581231941432164,1.1671058978147604,1.1829500394442494,1.0883926980805558,0.7614334509611883,0.5348076868001226,0.5277249046470049,0.4018207294696902,0.3830175801037344,0.43052145416238186,0.43420413898241783,0.6236904627167376,0.40216232314548467,0.45965380882729184,0.6957283891545554,0.41082291956349154,0.45352418870855743,0.5043185921871545,0.48881866528901163,0.5648441663368482,0.6122998050361852,0.801983535188169,1.403124396432862,1.0221097406975383,1.0401138503492353,0.6979530303723102,0.7365090386834656,0.6870065448693602,0.573212601548892,0.6478320912740974,0.7073223859833637,0.5347771957913541,0.5391244104759858,0.636211309580537,0.5481293310603044,0.5743198491619087,0.550546430162779,0.5437136833772673,0.5883964455214908,0.5848672563502186,0.5554742136266481,0.6280540617244237,0.7056659469520217,0.6356772906855452,0.6808711069723447,0.7837452704711717,0.827463422280418,0.7652857955503964,0.9300786102064095,0.9074234918336372,0.8952124613348883,0.8767847441529139,0.7729142473192592,0.8498004151403594,0.8590883089626505,1.5592228754858455,1.1056303069596607,1.5699248346272154,0.8275281979927931,0.785467238436721,0.7637987952004437,0.702754525403905,0.7928967361828625,0.6508749648417501,0.7458575503393164,0.6879700746038246,0.7820198706898405,0.6978602862987152,0.8220918947423517,0.8573854501171569,0.7588212748642031,0.8998111775280438,0.6347899893584005,0.6693770499456898,0.558641346346952,0.6465106515228819,0.6898334602785411,0.9380947418424851,0.8373825438357912,0.713120508639522,0.744827916548568,0.8331148455929324,0.7705538756282352,0.7633413804459874,0.907700856644164,1.0540240002469838,0.8179454032231922,0.8482156180932836,0.9838678650904045,1.0514006537947016,0.8382572092071606,0.8709467431625202,0.8035749766807752,0.7831822573904251,0.7174645979300455,0.7123569072595993,0.7793710585142609,0.6935640782981796,0.6593401363454623,0.7135100423533773,0.7310397387250973,0.643387881663767,0.6618864342632148,0.8373587519506871,0.717626732849039,0.6944220855600551,0.7617329665871494,0.965297974330387,0.9381406760109392,0.8755720136721608,0.9908696039113368,0.9759057761322585,1.2773878167240118,0.8780176840290851,0.7371695227305951,0.6477375005321557,0.9292115393275143,0.8495665172038532,0.9172181359304298,0.7665749069697372,0.6623926248917472,0.6614772795210296,0.529098324288948,0.5271866756651455,0.5892495015012635,0.5830532021411609,0.6784642566783128,1.2489396625261941,0.5896816420060358,0.5284343956821677,0.44634582359429065,0.6817175992717067,0.3584504461468251,0.6030273260736516,1.498028251497946,1.2275702236076194,2.0848115226901487,3.2006140542440487],[0.4175484683940873,0.3060502668193039,0.44285281781119956,0.32648908393486786,0.4288625069193875,0.3835651548194118,0.321875421645731,0.3715879457050377,0.32162447717711184,0.28128195383012744,0.31150529516108055,0.4134277071361118,0.30756582356883905,0.3211286027941051,0.40710509427650754,0.35132377125805997,0.3607627833183868,0.36261462819451895,0.41174515520490895,0.410412387099305,0.43002404738366856,0.4841047528686433,0.6361704418360379,0.7138098001618723,0.6136927615145094,0.5318361406970171,0.44476721331850916,0.37218199518223916,0.37195168901520165,0.3904134163949424,0.41098321092618306,0.4074169914175952,0.5013662851223327,0.4316612662290112,0.3701857695652308,0.3821270885666173,0.3799245776689082,0.4026252264877483,0.35996541835901225,0.390378602918988,0.7860500012138252,0.5679078456941707,0.4700191629803944,0.5515141145535887,0.9106752009993446,1.2697624648042063,1.297198469162713,0.6533706617586044,0.5769535377167901,0.8356445266491472,0.6227258205591047,0.8033658355937929,0.5517772740265999,0.5574431633025294,1.328371178722692,0.5597494983135203,0.5260194528036892,0.601836529244665,0.6876322758024669,1.133269569253778,0.5152464864119232,0.5637138671431375,0.49954947263259936,0.6513405065518262,0.49304347855491254,0.4707506989479326,0.5885651496247418,0.456641539065712,0.601302823808858,0.5280293219207668,0.8321287713729715,1.129249660698785,0.6814438916568027,0.8268488625311239,0.5310893429717174,1.105742634991935,0.4265311153653886,0.44176781848282787,0.40096336593795207,0.4697551532593046,0.4138501667990674,0.47350691701994685,0.9747289306193717,0.4556381493874402,0.5186111479104918,0.4174835336674326,0.401741106040284,0.49523961077432477,0.37461435090176204,0.4725252204112461,0.4270437237153053,0.6324129490154377,0.5113888532468877,0.44726383971715855,0.4229166511450937,0.5073398023916181,0.5489844759493695,0.42425694334819114,0.43015227553137203,0.7221128427510559,0.4761658146885216,0.5898993751472035,0.4218374138856738,0.4846571101861548,0.6141653008050049,0.46450335274786597,0.8174580558562506,0.4980935726319305,0.51906320915486,0.7011786375317469,0.44986949064244397,0.34499662496759514,0.31850480275443,0.366262545214819,0.34639019051936903,0.3752716421734466,0.4321028287192315,0.4349343055227017,0.4846249488371423,0.43720796791087296,0.39527755308813045,0.38125589306918295,0.37888549734646965,0.3168621969217455,0.3433080586067739,0.43795900343407457,0.3788599544842242,0.4396409487832163,0.4685415204767592,0.44992622832434753,0.4943126475429208,0.5774709942817826,0.48702430444877753,0.4970996671854113,0.4836663885070309,0.47740789423756497,0.6498417275427952,0.6991456547891469,0.5524411515604428,0.47596897458627907,0.7033747708608095,0.7329236373105481,0.43495262137237106,0.36972135629778363,0.4104249003418618,0.43660997675590224,0.33064283022840496,0.4108883409640695,0.3207659534702531,0.36095293424073016,0.46238808255035946,0.5307740081445295,0.9665719331345646,1.5694743420846942,0.9937133649523393,0.5964317917157923,0.44077488176925494,0.46961665613565495,0.3711638602111248,0.41446132666906466,0.3519066173544309,0.36910733193565914,0.4000048450900677,0.36685702728784075,0.6023255673784739,0.6178449313030088,0.7768427701543763,1.217479981983085,1.1999862579095089,1.0928690054539123,0.7582597632837774,0.557873598948339,0.5350032180329907,0.38110770497207136,0.3616410892870677,0.3916769063140608,0.4043887506429063,0.6029797968895778,0.3779982218454177,0.4291595833105747,0.6955414241833444,0.3799301722412807,0.4286025114559316,0.4914254715203853,0.4897056564516831,0.5538599061031986,0.586430817474192,0.7941314042031645,1.3814504692678355,1.0568797622775368,1.1015901947060303,0.7263196968534787,0.7884186905476892,0.7233635704666781,0.6015265832808809,0.6630268414491082,0.7337002717966481,0.5447906184570379,0.5529009095667323,0.633774504560529,0.5359021755646914,0.5529174137612807,0.52924973949179,0.5430421302436244,0.5861903326458324,0.5778128572765041,0.5662383567954611,0.6368715862165624,0.7123334973091786,0.6368275128790299,0.6915560056427033,0.8055623887280097,0.8327132703669258,0.7699627377001957,0.9636872742771724,0.9255569456257822,0.9544321927180037,0.9159667008398509,0.7996059056885675,0.8883643743747657,0.9061816233839015,1.5502480009126718,1.1529162039729823,1.5875782474284552,0.8349574705848218,0.7868610884011922,0.7585085709272962,0.6998763837737475,0.8023475895566544,0.6510184200095874,0.7498442648263068,0.697472181236668,0.7932498819338349,0.7131013266598382,0.8352049143463932,0.8932602450448331,0.7990958861029726,0.9422409007696019,0.6424201193321616,0.6591217388242255,0.5498757819735853,0.645425333902447,0.6944431711260203,0.9335103331396085,0.8335538400323492,0.709799525347996,0.7369215019005559,0.8317578222917085,0.7556452141782234,0.7536426540060907,0.9177120488286512,1.0566642014741126,0.8140333592623044,0.8664547462055046,1.0155300565317837,1.0543324799809382,0.8707801213322273,0.9184959549601129,0.8358525178993107,0.8085008703027258,0.7239126500120014,0.7297804466317326,0.8052326807362413,0.703568473878191,0.6635475433783655,0.7316729408138949,0.7493653085653669,0.6566719548513977,0.6792082739495543,0.8733929840405171,0.7470746859504268,0.7322108285272704,0.8035333569041354,1.0194073905888312,0.9749040810985846,0.9088935941176607,1.0574846006743146,1.022713935112341,1.3522373004964017,0.8926784755746981,0.7518036473341477,0.6515861186231036,0.8849838086696739,0.8418187877106996,0.943546227219935,0.7914143007930105,0.6863619900944733,0.6620372191878422,0.5253340456595276,0.5169448264459064,0.562361881286467,0.5656148750487413,0.6698523410595231,1.3048232071471009,0.5769666400784084,0.5374646630861191,0.46496068886370573,0.6622606591957155,0.3780884085695254,0.6110775757246848,1.5009549655490084,1.271904316920131,1.9933784030819435,3.092455770884036],[0.4531815615964788,0.32675371726858665,0.4086070487926298,0.3476927519533681,0.4174458530870806,0.3822534536641503,0.29173103759441676,0.3567306694302925,0.31805413199525845,0.29062419597447575,0.3157483814157668,0.4238931292042629,0.31112413114196047,0.3374339566913148,0.42369821369925215,0.36288098563842885,0.4005381180790023,0.3826633684776925,0.4486959872429761,0.4201432475067516,0.4645526693753822,0.49276446799358153,0.647965838945126,0.7536120557859975,0.6034070795829303,0.5461201347672913,0.4490675399932348,0.3725729258926235,0.36573918542755995,0.3703108670505281,0.42785351466933313,0.4147085682966831,0.5326444788946623,0.44183036745682425,0.3738778145241357,0.36792122294076324,0.36144833822778766,0.40650460540597444,0.37991123064005683,0.39433626280512685,0.7242951576553115,0.5403747583855709,0.4875702928018275,0.5968806472870223,0.9067322478864952,1.2334087265456628,1.277076565193327,0.710846979299373,0.6269293602200718,0.8558628851499952,0.6486862427799206,0.8985717872511116,0.5860150472356539,0.5803495354339728,1.2825275922693884,0.5525535027835176,0.5645865584018461,0.6203448008178407,0.703330569447108,1.2391364830304912,0.5761041856237866,0.5996714168043229,0.5180038997925255,0.6942208957027319,0.5325305000740512,0.49247724596160436,0.6386632841318081,0.48536127069280854,0.5900737135729076,0.548419521389853,0.8341617517516041,1.1422720091317964,0.7072963216424559,0.8875642011556014,0.5202023377828723,1.130935301028843,0.44244880755912636,0.4676324654103535,0.41783323806983913,0.48713018169367794,0.41975862032617184,0.4599079035022854,0.9937744506876975,0.43653383167764687,0.5433665994788086,0.3953780771048888,0.40177208954918847,0.46911372217006436,0.3861835005079298,0.4714453795553977,0.4399083689844809,0.6673935672794955,0.5490807239245239,0.47370230304342853,0.4475494021943542,0.543379674302505,0.567382897550099,0.43766843971994146,0.42614585010332384,0.7220007145201469,0.46499936003987574,0.5472808948851874,0.3846708659322738,0.455047666067885,0.5766469104425268,0.4502049352974761,0.7769755066994705,0.47355476237560057,0.49808128304787785,0.6993264422629649,0.4305705939896544,0.3312145225259767,0.29594264544217,0.386929145388885,0.3813004243972472,0.37883667415282435,0.408465758498086,0.4516767657316439,0.5601311853160906,0.452207207719064,0.4337980876670787,0.40496753805571933,0.39905796389181847,0.3347338283084531,0.3713848157101897,0.4334429025852906,0.35612549074261785,0.43217346838644044,0.42837619409366734,0.4083647844435305,0.4681889051509101,0.5231491216368532,0.46045693993498843,0.4874994214678085,0.4773300104961886,0.4814239035333674,0.6480872710118704,0.7281400510056342,0.5977441918459634,0.4570998827991712,0.7361535643685752,0.7519357141677461,0.4785773727446291,0.40233517116080186,0.39745928209918696,0.4574980797460559,0.33803697756406104,0.4245047132103125,0.29844400195519183,0.33017118441329507,0.4486398524930671,0.5300084984479864,0.9557878676339525,1.6253272373581693,1.0298228532535978,0.5821075059496456,0.42074415539918963,0.4387181870215639,0.34224984579572276,0.3870555480919357,0.36744064972580676,0.3871384833549763,0.46085907690457556,0.4039459594531087,0.6275827466177359,0.6283286889158478,0.8068805508161588,1.2576119513259163,1.2221342907237887,1.1138462503097866,0.7839205749249903,0.5959022838051493,0.5744917117118749,0.39940376026361174,0.3595691295819952,0.3854146401799666,0.39767554779386804,0.6042444934112539,0.3782825369700174,0.40798802261844386,0.6964659029241469,0.3725190816681315,0.41347127772209263,0.477054658069133,0.47782702105600866,0.5421831267981947,0.5727394422601487,0.7698625929314866,1.3352807119848478,1.0764953620649882,1.1346455177586146,0.7257261428804223,0.8127016152518802,0.7406931325134033,0.6103579186478703,0.6483325658392073,0.7284670885279892,0.5321317392075068,0.534784829289288,0.6144794462187607,0.5045124002878677,0.5223764806465045,0.4975481501484005,0.5177715735319898,0.5622717062186029,0.5535955284759813,0.5526837091347448,0.6207005932066779,0.6910797775696423,0.6219684515823837,0.6819573900067479,0.7898267229337217,0.8101974388458228,0.7660772904597701,0.9622438366065207,0.9281464941360555,0.9514984351291017,0.913504694123832,0.7857772633453358,0.8765754559982384,0.8934486666588694,1.5552503937339024,1.1416433473849867,1.5867742673519643,0.8160197480722716,0.7635748650216844,0.7257344555644499,0.6683820409438542,0.7738638103607072,0.6227485978350363,0.7219824442232057,0.6808825393951071,0.7779366146366079,0.6910555869263083,0.8295807269804957,0.877344064413128,0.7902057795060967,0.9447896353770333,0.6174640600550917,0.6373192229334195,0.5299645799938929,0.6343343226339976,0.6896903302775995,0.9067232031400057,0.8298177556100872,0.7022633123161961,0.7164445118544764,0.81224861978713,0.7350220555908993,0.7244560429367335,0.8991719216543855,1.0375546894012233,0.7864020159492622,0.8405276990654574,0.9920378845977597,1.0159428388566472,0.8458280019325738,0.8972709231392635,0.8138685552062288,0.78379812190441,0.697431769906834,0.7036097262472705,0.7822243722427572,0.6817255695487495,0.6416393695513346,0.7086403807516268,0.7305515248102228,0.6401928240766938,0.6650352848678394,0.8644712226087916,0.7368065344723365,0.7146567402402445,0.7896602530541343,1.0148670168325882,0.9677532497628709,0.8879632358424749,1.0602649401175026,1.019570875522079,1.3368762593281205,0.87604114600677,0.7455800101534623,0.6388620288812202,0.8354682722148609,0.7939103853459438,0.9050741803041591,0.7540274054251845,0.6660516361290749,0.6499702825978427,0.5045215558415103,0.47872079013737984,0.5147792808999145,0.5397018200563592,0.6594044858944685,1.3628194733531982,0.5630491865397508,0.5311771660605823,0.48344558732204174,0.6648781288227359,0.39997971683595085,0.6304551002530411,1.3590071928022032,1.2738647796984426,1.917174821932431,2.67050703119788],[0.4920667975349846,0.32365921784480284,0.37579591852139443,0.2916598226082415,0.36345318988838987,0.33865575534383857,0.23561752376479392,0.3143661400015173,0.29319077110779046,0.28111346718859187,0.32208801848336654,0.4166564932303991,0.3161750651943351,0.3463475934864848,0.4423086025689492,0.38268998180169006,0.4110621698907759,0.3984186474381409,0.4616584476975142,0.432668009597643,0.4766114812127926,0.5023359748387188,0.6743554049342574,0.8134742809666925,0.6038137308898176,0.5622953885213453,0.46334449340457184,0.37217456149308586,0.37284567364189203,0.3860727204327798,0.44703297654279806,0.42702479105635194,0.56393935312085,0.48378291479544644,0.3946614756102236,0.3882818414527791,0.3742623276072204,0.4010903174012077,0.3782393227123081,0.38572419174788863,0.7337342023855514,0.5583153277837615,0.5103691620438776,0.5985548128285941,0.9433317218849495,1.2400372173855403,1.2971704305729403,0.7221037926622247,0.6258052910646296,0.8670626855835892,0.6589732662966414,0.8952769233742732,0.5788710290063993,0.5641105163639387,1.2903844456704894,0.5484538199593328,0.5590431634090297,0.6338669956486747,0.706774052934886,1.2407752152609461,0.5814588765386937,0.6191027532339265,0.5367132333981979,0.7446684204041523,0.5771719392549871,0.4998075813942013,0.6631374518929585,0.517525122740401,0.6443020982854465,0.5731172188958288,0.8586356231602059,1.1605105124416095,0.723602682903897,0.9265402901801457,0.5363913911834943,1.16646239758963,0.4748926054730185,0.5168288528730788,0.45280043856893687,0.4983278228963833,0.4223437625641657,0.47128867110542255,1.031118296063149,0.42645146259558653,0.5421095485559018,0.3867248018865182,0.40284677314352285,0.49157073117000694,0.40438307169248733,0.4971499042889669,0.49104842547758804,0.7014287881260927,0.5857097133509889,0.508992084907135,0.4683068331582038,0.5680795882975016,0.5789561642100062,0.4577807828918736,0.4306042241331267,0.7319949445170554,0.4498685724529425,0.531550708459673,0.3761911208212879,0.4180476906042758,0.5355016896241784,0.4452929148875035,0.7345148000847387,0.4245373645457279,0.45261143524887604,0.6969396975450081,0.4009014262493948,0.30990351689975043,0.2563396617085652,0.34600597058144833,0.392295846902649,0.37535923748172784,0.39804749023736813,0.4470924823484788,0.5946143145891541,0.469605019870168,0.45399418580683426,0.41101322072279106,0.38723790723781026,0.3095626277175611,0.33164878999767533,0.41219088713447655,0.33063204495745685,0.389086587660794,0.39046663454426017,0.3958863591904064,0.43551694165849314,0.5024625212184399,0.4195696473842874,0.48760421420560146,0.4254731652763192,0.4345918671695139,0.5901595300728927,0.647053744764796,0.564489721613954,0.4693018467791833,0.7809941785340363,0.758379939798565,0.48258540725545407,0.4005017510221836,0.379172620040294,0.43194526931510535,0.32500495274631214,0.39382783055220455,0.27722431159812494,0.31475620107724217,0.42301569416012963,0.513036849396692,0.9221651151361618,1.6883130529117405,1.0746400401139822,0.5725561613159791,0.42289654673400995,0.41669617367243056,0.35366784852661304,0.35556146994579557,0.3380534142856216,0.3595476122278816,0.41930008690934234,0.37039264996272,0.5594105881633997,0.5967128420152087,0.7512918685088708,1.2259836298273257,1.1849206852062508,1.0699260353534146,0.7342920180805507,0.5464509022657621,0.5230678018734475,0.36550595770706296,0.3269974883412123,0.3546605474254948,0.3874227406211539,0.6012790479120591,0.35361916324234915,0.37155522892140797,0.67386054062963,0.341696075932546,0.3768329249199852,0.43307930568098224,0.4442525443776745,0.5324270344519975,0.5675371944105898,0.7747390653269316,1.367092496057031,1.0520274577467872,1.1147163232494464,0.7337268843718598,0.775064649331358,0.7053660520389095,0.5699943767982181,0.6090162773044674,0.7069430884966108,0.48757750261032656,0.4932783823700513,0.6048980190744895,0.4632686300237199,0.48842494918060964,0.4660905686182088,0.47145459379612414,0.5196783530777447,0.5198198946060659,0.5157697634769607,0.5788435958556054,0.6570084582803453,0.5918888503010622,0.6544042858082993,0.7559192974210156,0.7773867543477353,0.7465212049984148,0.937650529669292,0.9101430864980057,0.9272715114592263,0.8837001451602549,0.7487104396114365,0.8415574939773147,0.8484343542335031,1.5763507309204765,1.096221931614003,1.5746778499222605,0.7691834983737813,0.7092437283668742,0.675625906263905,0.6236750303432919,0.7037974109433507,0.5579280396540335,0.6750791943230657,0.6299806470927058,0.7164752829804786,0.6263283639046029,0.8052354289361979,0.813021318065649,0.7336348086219733,0.9044861379523926,0.5670815133263347,0.6180959336800328,0.5016865985117565,0.6089592345070578,0.6813242031078857,0.8913300030716295,0.8344831957202801,0.6953909427993848,0.6855192216167441,0.8019645167203346,0.7167760010473043,0.6883338069447644,0.8773508112073681,1.0131957738500417,0.7521736181442602,0.8073640427669951,0.9654668083585736,0.9742111538521118,0.8138324775775327,0.8655258576249557,0.7790575499200679,0.7446401896938261,0.6593165245616303,0.6598682326969183,0.7388563035757015,0.6382441563222523,0.5920707762015515,0.6590250174438491,0.6855085956026169,0.5899303430834162,0.6157129993343221,0.8233713767987882,0.6894227169849519,0.663997681510208,0.7520154976450742,0.9985297777936828,0.9435721168402788,0.8458343273444914,1.035699258879033,0.9999234526135928,1.2992446083780387,0.8449474963847002,0.7178800176274215,0.6067670384423614,0.7988183175362885,0.7366132582985603,0.8483371155585958,0.7043237465820308,0.6325073443024228,0.6016184679377458,0.46344341948600454,0.44193454411158567,0.47667471033593933,0.5217035626754261,0.6489060867880284,1.425120727980862,0.5454951924084935,0.5197842097265168,0.5209062516173619,0.6752056531944545,0.42783116587084374,0.6468685297189359,1.166879287633762,1.4524129367992524,2.129623703021785,2.3326868121979842],[0.505922763744352,0.3807769041297974,0.4016030078045354,0.32496736371059665,0.4019245340088558,0.35470229870314857,0.29648351137971146,0.3249569088241021,0.3422547481093301,0.33667150289650616,0.3529758264443083,0.43316729195744696,0.3695602256702607,0.4147034138291263,0.5016269566212463,0.45412601709949146,0.47050586779292536,0.4577585484611966,0.530707978780311,0.5113031728568525,0.56988327329544,0.5985997370304976,0.7307585682067718,0.9066599768775258,0.7136752734821619,0.6704950061456361,0.581551958113858,0.44955931564905505,0.429591244065299,0.4367100986315908,0.537132539020483,0.4821093392191915,0.6076105745050029,0.5395646042162673,0.461060746592365,0.4627725284278972,0.43027353683039704,0.46873991685095884,0.4533385518634613,0.47735912608774134,0.8354575315491863,0.6472450939517811,0.5975510489940907,0.6337618695475938,1.0357059464526017,1.3117084614036765,1.405661339281278,0.7968566010240468,0.6946652166518604,0.9675461306228792,0.76409227579705,0.9065129271882509,0.6126254138583975,0.6145184093404602,1.3014369046002212,0.5988829259261048,0.6147032014868478,0.6996234410197216,0.7315406921804013,1.2729007159083552,0.6556068509736714,0.6685951630855052,0.6010842479956556,0.8249848019344214,0.6540694164762226,0.5617880510406142,0.6704890347250865,0.560015843671897,0.7063781561773488,0.6229356949977495,0.8616010900351038,1.108632736278838,0.7495072759170734,0.972779770216507,0.6024186170273087,1.2838347870622495,0.5437926210855502,0.5816464244248395,0.5175236733688962,0.5490997971720694,0.500726656093265,0.5656084381073645,1.0425512373003794,0.4656721124549104,0.6766775353507687,0.45615530000249566,0.4945053589811654,0.5389622311168942,0.4716082634965228,0.537435328834567,0.5430145893983486,0.8103297018036094,0.6719086662695447,0.5853697434580556,0.532242534327809,0.6350624077068524,0.6303803496044156,0.49447691005304983,0.4369074526708019,0.7343788970443833,0.4768689552386934,0.520335231488181,0.40730371765016427,0.4242051153519634,0.5218067590867774,0.48022037867031253,0.7068974051777976,0.4289137964868748,0.4457264246931314,0.7099104859011869,0.41553457446087694,0.3639540528507131,0.3248859133795337,0.37479256790885546,0.41239574998693834,0.47622778216672124,0.4611367320297894,0.5008473449948972,0.6370687662652266,0.508227432601008,0.4897482261404941,0.46453422739068034,0.4802245385678602,0.3909250772807525,0.35117596504419096,0.44085768316661517,0.37427101049637945,0.40029726836894,0.44467372297913343,0.47119479725052316,0.5250279775564232,0.5912881248743364,0.49198549001640196,0.5115929987899865,0.4739144889378268,0.47118090465826257,0.5949508779717815,0.5638601673555247,0.5658717936225824,0.5637313221380548,0.8633679741786825,0.8492493686508492,0.5265109727323805,0.46702104924757865,0.4345976602185877,0.45652911500895066,0.4042913542791826,0.4092789511923282,0.332249425054015,0.37569130075821916,0.43687713589304444,0.5376941616924776,0.900232466355094,1.7240983572370727,1.1407004745054965,0.5750761601232457,0.44443671527584416,0.4365719723632748,0.4126220793121832,0.3663174165384097,0.38021637519243434,0.387262572031729,0.4352626472757959,0.4190007354628522,0.536956294006254,0.6392449862213118,0.751336385808495,1.242777107134941,1.1887635548372368,1.041476991592553,0.7252831464406837,0.5473388306040291,0.5253263541052677,0.3863145034454461,0.3423904315306445,0.3724279093425248,0.4104483919430688,0.6224255117126744,0.38332007114840955,0.4107763777847982,0.6746230762563151,0.370878890089328,0.4084581010352793,0.47669118558709866,0.4952527729850837,0.6081264382321608,0.6660870411439364,0.8866134263088875,1.504574000428373,1.118877527337796,1.1887267811116111,0.8698810094105678,0.8278823919378312,0.7364354424481129,0.6257651574230316,0.7012169483730721,0.7576836689022811,0.5545755947077824,0.5417056932490046,0.7214530535640237,0.5046429762319713,0.5404097390725116,0.5382284710416558,0.5019045024121731,0.5290975090311295,0.5460504183518322,0.5436557117403749,0.5639628706689839,0.6535927262970648,0.6045425929739272,0.6532277367947144,0.7613237016716558,0.7980265620117714,0.773490538731214,0.9502645220292967,0.9124482883652505,0.9298110970739256,0.8495988186781209,0.737101328833983,0.8179898321249635,0.8090680943845863,1.525388867893554,1.052524791216488,1.5167559162991484,0.7353511766297364,0.6744188792687437,0.6479368407982616,0.6219253653499338,0.6892139223273738,0.5578031440940738,0.6920060022413956,0.6661255849764479,0.7208905417347942,0.6475015096866507,0.8593039833692798,0.8403357050391806,0.7846637877244536,0.8976149006210926,0.5906960440817374,0.6997042073148986,0.5585363752320569,0.6336438367443091,0.7210885278892014,0.8861085384732319,0.8544856024392318,0.7282762569563456,0.6768293362367973,0.7952605867132211,0.7164899245615982,0.6830264203642139,0.8669310572239569,1.0079470973286548,0.7448926803664717,0.7921234193660079,0.950260236011982,0.9675401489490363,0.8128438008131239,0.8550603791949852,0.7697643556801128,0.7328693356961602,0.6515609232174765,0.6499072967823012,0.7270017596155869,0.6366360764889902,0.5935067593482741,0.6447665747208479,0.6726835089088241,0.5842768572469409,0.5985480919585547,0.8150943979921309,0.6648064776810828,0.6817890224899977,0.7475229068224204,1.0034256683112526,0.9250966730857506,0.8120634534325744,1.0200738149833122,0.982549888161528,1.2238745922292495,0.806219615445621,0.7064641120951175,0.6087669988718802,0.7631514143547373,0.7231639751406881,0.8423397323630257,0.7424129368385632,0.6851971921836635,0.6264250862563299,0.5111977873007663,0.49206829525369683,0.5471148031599238,0.5673034207923928,0.6595579791218804,1.4513127090324622,0.5721762738049472,0.545211865258699,0.5497099869361961,0.7242341109039423,0.4804071434770803,0.6565223871806801,1.1224491138557435,1.54591636246259,2.230850385393633,2.2780269076899855],[0.6071401886372452,0.42680056338294065,0.4218042175623781,0.35910336678175286,0.4007750750641778,0.39092628324510975,0.333537599858244,0.3623063444573892,0.36544420756842827,0.3551093541407405,0.3672316560961982,0.43572844797998966,0.37961080668642355,0.41409262774962075,0.5143478081737357,0.47459519437681136,0.4928785641290816,0.47397375647550194,0.5327843064669249,0.5072145529963727,0.5538962150529624,0.5749021340519489,0.7144527516285933,0.89597152631634,0.6536710362542824,0.6312614109898915,0.5431390546472192,0.4447887666787061,0.45398550686909633,0.4697630042677312,0.5358585146087214,0.5030436038844536,0.6453006577014684,0.5646129018620442,0.4859973771290294,0.4797460240194322,0.4666026062623217,0.4860588732395858,0.4678828791696743,0.47460702362445484,0.7918517432818285,0.623208569030241,0.5882946330097367,0.6254818221000278,0.9651960521878632,1.2410544586677736,1.2867015022871304,0.7439893472566096,0.6805836836029242,0.9317913009698888,0.7616069650077326,0.9258963173672083,0.6040645937652865,0.6095532612305902,1.3025234656869125,0.6036982180611791,0.601280338058144,0.6875191538962723,0.7431627841961326,1.2501718473158778,0.637763065852783,0.6794749565282643,0.6152231888719214,0.8385051917517423,0.6488801704535925,0.5593964502988101,0.7222121983144215,0.5802281656602807,0.7183317820145106,0.6161723837005395,0.8885060821631281,1.1779541877608977,0.7690735661759194,0.988342576840243,0.5913251090448205,1.2708593951625453,0.5526930573709075,0.5996538902565535,0.5355804211902965,0.5665156556238664,0.5153899476303483,0.5780846761331074,1.0814232022472066,0.5149675217966471,0.6612039158673902,0.47479566843804716,0.4957050990558122,0.5667368704556041,0.4912463740386083,0.5697657194815339,0.5568710348151557,0.7818091886795214,0.6600248107124753,0.5892234367056056,0.5375810879439199,0.637674628137469,0.6339418103113096,0.5168947732866984,0.4760053353190569,0.7725004959312968,0.5115324433754534,0.5550217870862005,0.4348407159112454,0.4574855671969797,0.5278136022007253,0.49731473682612676,0.7273579037135663,0.42862143329169383,0.431785634798405,0.7428293305203231,0.40826436175792197,0.37934110006095484,0.33859591838151826,0.3983386756744342,0.483264425868894,0.4675906510958963,0.4503636647138798,0.4894573224183008,0.6457426835421683,0.5058430775801022,0.4980891741167115,0.4620088163250188,0.4756652676845663,0.39974956965508424,0.3796340089352432,0.4398701693617587,0.37494848814132714,0.398267695958531,0.4217007270419704,0.4686121545979538,0.49689237648173634,0.5679372743455453,0.46361427473038114,0.5117120528655913,0.46712334872178574,0.46578194191905203,0.5972852396476332,0.562849527436782,0.6191915680916649,0.5277534329380164,0.8523673170831224,0.8072061080911315,0.5198803370363203,0.48405847413527603,0.4363274573397648,0.4888862859176456,0.4270151687872097,0.4399126606640503,0.3609133465869609,0.390969410681113,0.4528744241638346,0.5960273548758973,0.9426981075988659,1.7958495674457748,1.172406279599,0.6074919905345065,0.46786658440876244,0.4618607173142875,0.4304441742816905,0.4012057330733508,0.39642032210624556,0.43251875467429574,0.45855956779781426,0.44669617606658074,0.54604324456948,0.5848764215989486,0.6955379811755007,1.1507167691977227,1.1102182580686495,1.005793304797477,0.7071809558872857,0.5391934095459072,0.5310113375694393,0.40485320029949035,0.37803124439173835,0.40552748852029463,0.4490184341243489,0.6716621503096274,0.42972112559916553,0.4736737670379673,0.6474326662874385,0.38599743004011083,0.3981840246988622,0.43634035112888014,0.4676028723513481,0.5771838352452949,0.6296695217621473,0.8582553518727535,1.4444659898396288,1.06177422426096,1.131933849340935,0.8525454484549733,0.7906297536724035,0.7005476567705812,0.5822073276835683,0.6180578581372732,0.7099573804459739,0.5215644939659322,0.5037695908402059,0.667830808114716,0.4727368441092522,0.5083905473099313,0.49422984387238855,0.46329927323662545,0.49701679841490376,0.5090914575273487,0.5103084359163252,0.5213822265882788,0.6044118161437475,0.5521438497223752,0.5989457502158568,0.682673741261994,0.7163539648587479,0.7172587499357426,0.8640806216111283,0.8508267911428536,0.8411665016438896,0.7977940528492287,0.6803493105331658,0.7457298496031363,0.7413834630644835,1.6196633676548489,0.9717576113801498,1.4768780566968045,0.6852091281303009,0.6572851723571312,0.6544772662572756,0.6385322199038533,0.6293410352602642,0.5207963735232687,0.6414854738878355,0.6204738101168293,0.6754642256908775,0.5913149543438241,0.844340985673175,0.7607724715441688,0.716262072071103,0.8506468317531523,0.5408896446355193,0.6740859934062162,0.573395438458411,0.6613019131097548,0.7503184944217369,0.8876318918241853,0.8754933324568853,0.7485096869123296,0.6803103296662515,0.8205697596212808,0.7090486954903553,0.6564021523685508,0.8526669973961039,0.9822920624475026,0.7008419049783132,0.7445187974212666,0.9168664031334426,0.9214697066002665,0.7456671105332482,0.7865165125914004,0.7071774001938549,0.6750283351061621,0.6164098993790414,0.6098108692704972,0.6599111207931538,0.5838637184198018,0.5572106433084957,0.579183993922621,0.610883620801551,0.5308631446226584,0.5399401836970041,0.7462719474532559,0.6199392642955629,0.63071078886388,0.6827903748864015,0.9576841849133855,0.9028609365539857,0.7883917206852498,0.9939197468383144,0.9698842802590241,1.1733257857347144,0.804049419021281,0.6867576611063975,0.5875955584337977,0.8104335559737181,0.707875527848846,0.8201318503588735,0.716625546655905,0.6520430252237068,0.6032746091542048,0.4856022740946045,0.4870535184189547,0.47882686615280917,0.5095956092078788,0.6222484974400465,1.4762679216831536,0.5157735329479506,0.5290612016021307,0.6092439013336862,0.7059421714090857,0.5015239408517643,0.6903551668087126,0.9725550777757046,2.057089803801359,2.9659873028800736,2.6311967652235233],[0.5647152561660014,0.4627271504029183,0.4916486920750111,0.493028466611848,0.5537447607395245,0.48708164547283894,0.4771306040538534,0.48385145253449113,0.5173776235224615,0.5509358693488886,0.5450626565606072,0.5792611470768612,0.5812816928447666,0.6220920298367641,0.6888222031508944,0.6660899601792508,0.7076472416485469,0.7047649069624972,0.7866557228074019,0.7650437813373111,0.8169995042506365,0.832960026442968,0.9079567035472076,1.1460394367618472,0.9378417677185473,0.9056736420332592,0.8236105131769875,0.7147342246489123,0.6828256300132776,0.6576650566144618,0.722331972874277,0.6690105984025592,0.7847500841989166,0.748480996902797,0.6774261252737456,0.6841563149268488,0.647327134990545,0.7145317083316487,0.7140056872082775,0.7316315108002547,1.0068542668466227,0.879892152846503,0.8594740318611835,0.8850009208475571,1.203854012444188,1.4347234008808118,1.5241248253437996,1.0259036085082438,0.9142527564350027,1.1291355497550755,0.9913048230012076,1.0187805859458332,0.8014646831941008,0.826096598308917,1.4076501791828269,0.8378592308781796,0.8595587683613286,0.9152147295047542,0.9608025086507904,1.4016505465403568,0.8977440839698007,0.8903871613073323,0.8350070136671139,1.0420897825117654,0.8888205087525127,0.7754429431193018,0.9268652166326736,0.786822508674656,0.9110461864598626,0.8003629861439369,0.9790265745979133,1.1474881420962701,0.8986358762251829,1.112233633797121,0.7994765507946481,1.4608239441364983,0.7726599689008277,0.7985833981856295,0.7422139784338548,0.7592955558014094,0.718590350958455,0.7968673868229813,1.165082150750471,0.6844062947583326,0.8740821635996567,0.6868885978678284,0.7271547361805303,0.7307671465435542,0.7064524576685681,0.7474397335158628,0.7499359913665233,0.9753633523243684,0.8388749006926686,0.7659764085422064,0.7001226231141288,0.7916133483203639,0.7869896788584246,0.6652676937002655,0.6156604959416564,0.8504749698762677,0.6451135482628817,0.6533991544613054,0.5998005201747241,0.5653373384415332,0.6414632369831555,0.605417043824627,0.7786885265926025,0.5518131169542974,0.5513171427915522,0.8224396933054385,0.5239639733495728,0.5520410624251315,0.5142564043009495,0.5804055653137302,0.6465365528590973,0.7480707264191919,0.7221879116577719,0.7873611949239874,0.9161836229947223,0.7749545467236675,0.7737150934827391,0.7113037766071238,0.7692559359656553,0.667766573476422,0.5730434359547817,0.6312176118225798,0.5509949386856338,0.6005020567341391,0.6132774270526127,0.6536087075558178,0.7024994107223613,0.7316133962933453,0.6827605300403248,0.6676969969160457,0.7050451595534688,0.6974600564065019,0.8315515833455116,0.7804173828587775,0.8438440554001272,0.8251578374764196,1.120371991970256,1.1144823848290486,0.812209709598788,0.7689791085547123,0.7151507042116466,0.691745339872593,0.6802342831839844,0.6251174140716192,0.5580703695626713,0.5603890620132194,0.5487002437296615,0.6936874904287788,1.001659747869677,1.8317208970105763,1.1933514810629926,0.6969772299090176,0.6082551114622662,0.5858962091006296,0.601976057084073,0.5578392540383051,0.5903107884956784,0.6351379789950315,0.7077515411592578,0.6975132207369003,0.7720223064411526,0.8696689427541981,0.9402643760122694,1.3362637110983506,1.2998393325066488,1.1714026468246221,0.9339337020290949,0.7800759362118579,0.7431648505098156,0.6422621716267881,0.5895931142385105,0.5900949977045349,0.6245027013242894,0.7817516419950532,0.6183433324372987,0.6318561279417062,0.8280116725804598,0.5923568078946091,0.6299242102881933,0.6985264811860167,0.7271365255378818,0.8399324089622937,0.8849085660590597,1.0848404161364318,1.6841613394664852,1.3004537399652805,1.363336602441387,1.0808663454505687,1.006206807059327,0.9015150247688758,0.7954543008973067,0.857155686253297,0.9012124559887073,0.709859145285545,0.6735192361363939,0.809497767512368,0.5851633588011523,0.5933810013498427,0.6072191141886948,0.590083439740621,0.5762414592037352,0.5799427952697213,0.6185656516947701,0.6161719503262355,0.674351219496374,0.6352570153838714,0.7007209506049881,0.7821286129843035,0.7992945487239889,0.8018158757977245,0.9803853202391328,0.9675471833156561,0.9515363150119797,0.9150728253821693,0.7920223894541193,0.8560921907229279,0.8463258744010108,1.554974255699779,1.0710537132361386,1.534369618653161,0.7521582807137578,0.68756162653082,0.6814240165728227,0.6939351864944122,0.7075956418370276,0.609665485844833,0.7599330630298986,0.7366831441833442,0.7773072524291446,0.7339529311069586,0.9788027075345037,0.9255364380656672,0.8811769975843947,0.9698842794493233,0.6989098925725312,0.7878039231784325,0.6500578571220273,0.6919130377187173,0.7692950172593946,0.9270775800230255,0.9184541933083468,0.7839425939322844,0.7027821491599056,0.8323779858660321,0.7329488973734815,0.7050064261842623,0.8904344421655822,1.0211549890156564,0.7587969180316309,0.8064256728535067,0.9755516970004986,0.9845714546039198,0.8190093041344289,0.86526831763442,0.783373027616809,0.7443728114638627,0.6755707526878204,0.66621775831109,0.7476120953659905,0.6644088569467114,0.6327241969694613,0.6825240217465293,0.719117795150915,0.6571318135311598,0.6657728424895493,0.88624327922779,0.7588027132670734,0.7909275381591838,0.8520992097060182,1.0958753931321061,1.0267292734942668,0.9184080986291558,1.1289880169864368,1.07033492157771,1.297734139682572,0.9026579592884186,0.7914620006784785,0.698226878604077,0.8720299883367937,0.8531236337688424,0.9810812300420292,0.8801850482714376,0.7967634787983681,0.741660531818035,0.6429418228372596,0.6391721972924557,0.5994169825785907,0.5805489439125677,0.6722186191675485,1.5193400415310283,0.5935121391659374,0.5772315266408343,0.641210940990257,0.7960837410994311,0.543090068172945,0.6989391114606296,1.0520773381268402,1.8407288978579397,2.638065452823718,2.4812400371812675],[0.5578592053415845,0.40619615954335314,0.4233353936240038,0.31524693298694156,0.39653378953624163,0.36946453624154174,0.2896309025780378,0.3660128685094378,0.3575324595049469,0.35756763763988936,0.3899492442112328,0.4500508210926977,0.3834409735420827,0.42600887167311363,0.5251219439360878,0.47904405250720955,0.46950343905796216,0.471805626221895,0.5413331482053517,0.5069452893817694,0.5558489039814725,0.5662050408078104,0.726441139462335,0.921664445111973,0.6665510395924729,0.6413558351033645,0.5422526165617254,0.43933713471516433,0.4315375137833334,0.45221481832744176,0.5314740658905072,0.5107784659007633,0.6371866149461886,0.5673430564086845,0.47414769090610165,0.4569069370252151,0.4534278624117146,0.44824823641513767,0.43279946048223894,0.4427660717687361,0.7853241275273618,0.622498175291905,0.5777429686435873,0.6345777934113744,1.0048109393276388,1.2791536027502135,1.354770675122098,0.7772447371974422,0.6751692564239974,0.9324860308837695,0.7368795233239296,0.9245704935480786,0.618630059381549,0.6104532530451133,1.3119871745520562,0.5858556826956393,0.5891172595400358,0.6862381787873484,0.7402146643488232,1.2459765950945032,0.6293802805818266,0.6500667513461394,0.5908834714027165,0.8115712812394508,0.6416923188646393,0.548626420416898,0.7019772868697465,0.5871217658874688,0.749116102281096,0.6278688472849024,0.9054963187484898,1.1573098897044112,0.7756224559366309,1.0067565806842067,0.6079917644715577,1.2538557397818118,0.5523326658280096,0.6059229564184677,0.5401046784161155,0.5338761258633361,0.49890969158038523,0.5402176931301857,1.1005551337073862,0.5017680108624433,0.6061469820617565,0.4351723262971328,0.46281330524203035,0.5391118327981456,0.4690762323040705,0.5672045072679072,0.5750008934622883,0.7758334657448333,0.6660085943559906,0.5951756831357004,0.543266276702998,0.6424960374256702,0.634908865147345,0.5287471414792535,0.510626403665865,0.7951159193214019,0.5235671821743161,0.58026864167818,0.4448037373174771,0.4555450663883746,0.5779110990886032,0.5080940647726894,0.7861700241962005,0.4451058009550081,0.47957836243768287,0.7397586712151618,0.45040078507641945,0.3589252304357618,0.30654815935466734,0.36561090798519125,0.4366365686888404,0.4540209382087331,0.4442278365741361,0.5023707998141449,0.6644070993821223,0.5151779640128848,0.5083836393163361,0.4589997215771546,0.47772075989514295,0.38987784962276184,0.35276330568920294,0.4349485736006746,0.3798432654188999,0.4027173915717087,0.43944627602581515,0.4596408962871882,0.4927448022660992,0.5690458786087528,0.4620268308851839,0.5163823353369467,0.4406165211383632,0.4414666325826499,0.5837401298410252,0.576510939759925,0.5730288152316622,0.5282715909247632,0.8438805175349483,0.829132423678461,0.5236933646519777,0.45877612645151156,0.4177646916152269,0.45706353183136156,0.3888956865461069,0.4157381003638458,0.3475726956388369,0.3787015662272161,0.44734611428472043,0.5583587988719347,0.9626491284308151,1.7450620048750436,1.1147136433986387,0.6171747659416883,0.48167952097686817,0.46004032426908453,0.4303222943590708,0.40315046385198133,0.3881526069339035,0.40155925332359943,0.4349732022916654,0.40061125876227754,0.5257730977363921,0.6336967752507129,0.7157615575013184,1.201518700411023,1.155571388687334,1.0222010637657972,0.707517018845367,0.5231603777217128,0.5045818835211306,0.40076082030048055,0.37156890552706334,0.4027609315497711,0.450000956666085,0.6687746149788314,0.4163096355132199,0.4547992585229215,0.6842044921755719,0.3874333119595491,0.41608654473048023,0.45058759163366396,0.46011998458800024,0.5539156329255717,0.6034542275459539,0.8337264544561573,1.461352680099198,1.0878992848803872,1.1498976465141346,0.8119952040164703,0.7862865531871052,0.7014398208448294,0.5910084282928788,0.6548291274249909,0.7372755039815189,0.5275666030392336,0.5324191253876834,0.6670545067157775,0.49938319458172076,0.5177757368243017,0.5049327010690255,0.5054867293834941,0.5499405831577578,0.5526814291323974,0.5320906956507746,0.5962558966592576,0.6960893571764672,0.624805250746429,0.6831149940998295,0.800821547122858,0.815903043976537,0.7755476614231399,0.9727921152836253,0.9314968957369678,0.9699654284711614,0.9031188345888741,0.7739038032070257,0.8856520773663108,0.8891875087822486,1.5795444664239002,1.1418331170209266,1.6009799986755078,0.7869633799889499,0.7251480918273876,0.7037810418110241,0.6542327684465663,0.718927372650825,0.5963359066001286,0.7296334284602592,0.6804539441620157,0.7590166856534941,0.6740356500275825,0.8220812911555002,0.8415830280426585,0.7684155691431596,0.8800397638024205,0.5908517032013423,0.6607400478694166,0.5383331207632052,0.649984659835516,0.7137682301308889,0.9222286015294778,0.855293921644847,0.7222951546143616,0.7025758868956211,0.8448186999849797,0.7318098590904536,0.7133473953514381,0.9253847293495312,1.0538487953241003,0.7859332723767827,0.8592036227355285,1.0265496424153016,1.0286926196299495,0.8746886190509593,0.9329533816326581,0.8333949591486649,0.7961525550942695,0.7005180411963323,0.694392695963448,0.7873296016924031,0.6709255559384217,0.624372682799565,0.6900391865035411,0.7094931106161262,0.6008801178315705,0.6304724730580549,0.8450547759864735,0.6975265077412814,0.687096158095705,0.7622650716882273,1.0340683510804138,0.949193985532512,0.8507084558013228,1.0657977068592865,1.0060508000066009,1.3203870529291963,0.8391094855933171,0.7218664255709164,0.6204155254853583,0.7920780778040122,0.7572981788783604,0.8714666249926606,0.7415583352063163,0.672646264695363,0.6487535406883248,0.5114250157854632,0.4810123879547945,0.5226730850992906,0.55146232079645,0.6747808729660231,1.4479256791177597,0.5784535643995309,0.5598760935153857,0.6124787090710639,0.7170229808510576,0.49999497790813047,0.7032336494892064,1.146067513615221,1.5715088805262116,2.2787678049680555,2.367158442573111],[0.49065704452747555,0.412486963253999,0.4530714357515732,0.38424940348808784,0.4666956502581548,0.3752924621049517,0.34001344755484947,0.3495867670816996,0.373475239904713,0.3832184151107585,0.4127667899157782,0.4812531292435326,0.4178039015178056,0.4622261631673768,0.5454769487907117,0.5016145795346367,0.5168786578941083,0.5425107591677241,0.6349391813085351,0.6228098167411629,0.6683641016292877,0.6845804539803156,0.8174376017566221,0.9865467987865896,0.8188662445361825,0.7681235404063913,0.6759462227151725,0.5380002057123485,0.5130623812762599,0.501449354025823,0.5804570029309032,0.5118070335669606,0.6305896076347212,0.5819137925850644,0.49774095315359485,0.532456949538475,0.48356015192766644,0.5214590174427017,0.5191578589119981,0.5400790304450368,0.9024552532188587,0.7338532669488358,0.6794979339412379,0.6894643283287781,1.0996836194354798,1.3580731314040926,1.4745782246934025,0.8637224277060708,0.7437831567299873,1.0167206974509542,0.8050041265045793,0.8821352253123318,0.6403147985726964,0.6633832747562031,1.3515915813544945,0.6545340547300134,0.6701047724598871,0.7518813275141095,0.7641365851907952,1.2660922426798606,0.7120181520799778,0.727212911880769,0.665763694354405,0.9131426585528788,0.7430938594665767,0.6329868945751874,0.7437012147246074,0.6645280815675494,0.8039164240497528,0.7078831502969061,0.9017352010957711,1.1580848320753423,0.839600380450014,1.057269663812678,0.687168691557825,1.281842274374066,0.6342736680967704,0.6559337685091691,0.5911281870781596,0.5793140171983615,0.5629134870803543,0.6253685443539009,1.0712638771119145,0.5151983487779003,0.6999610996908912,0.4984263520042785,0.5591798918842165,0.6032871267483911,0.5402684203385176,0.6102228064687717,0.6249941372651799,0.8436589061136951,0.7190826930949271,0.6122525159538411,0.5514465031660396,0.6454681810675713,0.6569857320865893,0.5209385464961702,0.4891142890914502,0.767247032437388,0.5105430425970989,0.5374995832326506,0.43349367902482344,0.45268754153177626,0.5469585131137243,0.49541008730595326,0.7334687402823056,0.45797293316729915,0.47168101376454924,0.7173080249810431,0.4468454118667647,0.4097167561979403,0.37171771569450845,0.4257470749742854,0.44421915752187346,0.5804633347999368,0.5601247781744046,0.6134669915589566,0.7034204022857098,0.5817811883121892,0.5632500279016965,0.5466368572507648,0.5955189737427371,0.4834132770797367,0.40760018016914307,0.5161904410950975,0.42349736255822923,0.4609937438143332,0.5203372203148054,0.5404454601250116,0.611794512495714,0.6695203214102076,0.5728159466977996,0.5659807970082786,0.5569586201354209,0.5477445923644426,0.6724277439417164,0.6133873002990688,0.6248087215905594,0.6800452743644425,0.9649765385653715,0.9656991162715702,0.6331083201207287,0.565238467487863,0.5184556125820843,0.48662493132042656,0.4783773096011832,0.42754962613398423,0.39193261863142576,0.40870961029581065,0.4542948154601496,0.5587121226128378,0.9523305042592337,1.7249761446645646,1.1261794760406543,0.6132529947516714,0.46667146047002683,0.45836980008958667,0.44778397426653865,0.42601859922370267,0.43466391343738886,0.44104134204115086,0.48341367725267903,0.4860701554821469,0.5688534736765437,0.7447295339185616,0.8139796217256666,1.3015808544060978,1.233332947344318,1.0754633041803665,0.7824100381520519,0.6028634182106969,0.5643654815520938,0.47252164989755224,0.4174735172268677,0.41606861907852116,0.4376950634404272,0.6152919249772721,0.42984585672087217,0.4514761136550424,0.7628872121582955,0.4343456598072175,0.4864147922646481,0.5648771714590234,0.5880258452174109,0.7128218663058666,0.7543013786995874,0.9714093531113452,1.5950178505259631,1.1711516061259315,1.2273189809699527,0.8970939634068227,0.8488741582461197,0.7695541531160488,0.6828502409169703,0.7879465154709676,0.8100877722022757,0.6266047365657987,0.6110742520840391,0.7790231319386516,0.5488702241035356,0.5750176552218393,0.580294167804756,0.5597947778062653,0.5690681875289731,0.5743224097213686,0.6069558459386823,0.6213057521568935,0.6930905798817036,0.6326844649974079,0.6977997956200613,0.8176178122196495,0.8318455249306866,0.8014957419368159,1.014166617918404,0.9486800440274995,1.026527714287174,0.9132333592224194,0.8062647548826172,0.8982931887825325,0.911012220596172,1.5348743709672346,1.1517543391989111,1.5559326977979802,0.7928525147447001,0.7372233572335755,0.6983204164892735,0.6539988370986294,0.7601392318949551,0.6140616317096745,0.7305961423261927,0.7125849030160413,0.7702283729561692,0.7173284597379059,0.9007363885737913,0.9167438319883641,0.8662540086803687,0.9673077112072694,0.6760969188803349,0.7348233917853132,0.5692048629965164,0.6303846764374953,0.7026674680484329,0.9201316499074951,0.8515434069051719,0.7167115105098045,0.703536846728692,0.8134365341092871,0.7196680193260077,0.7130586316260598,0.8945432712302994,1.0325892740354468,0.7828905703472507,0.8450550322335687,1.0054288311643773,1.0264175412502625,0.8751496087064538,0.9300312071172004,0.8376823620844117,0.7956031384095498,0.6873841711067313,0.700973371761168,0.7987548275762197,0.6886347594998593,0.6432314805352577,0.7145082447119022,0.7422171697372318,0.654783268465663,0.6722667226243642,0.9083379092575742,0.7460559096332972,0.7529169830066664,0.8312060311749555,1.0567436386237332,0.9832908046797924,0.8891919487332223,1.1001614697761877,1.0270306121447952,1.3089834006052534,0.8644793231607414,0.7558525115388546,0.6646190046457265,0.8225168083859007,0.8412899900717199,0.9611990361976628,0.8614760326474786,0.7791021639267968,0.7122357018205169,0.581009468116502,0.5389897986153307,0.598556480505865,0.585207384560484,0.6670846286562341,1.4175202281046235,0.590892719810286,0.565629759104366,0.5387751998388487,0.6999923340019152,0.48039489774534605,0.6703009748985633,1.2683985491557555,1.4002162602141262,2.038436321233429,2.5086826088620082],[0.5049003537586814,0.4225380085942761,0.5200328047745845,0.3730652034722214,0.460558900715427,0.39398359944528405,0.3017716682286343,0.38806039589124547,0.33580016089000775,0.29169671486022336,0.31962639727664366,0.4461662637807722,0.32847569241175595,0.3465187129823404,0.4274309051706348,0.38171561994269465,0.3970025711552748,0.38184744183942865,0.450425975896455,0.41717762984801,0.4708280755288269,0.5041722029643446,0.6601985228938926,0.7985469685968188,0.6195429354390036,0.5641248148007818,0.4693464566050344,0.37554484535166055,0.3614143887673346,0.38350970579985477,0.4425990488590501,0.430404468235857,0.563795978207143,0.47215377581177775,0.3946118873025303,0.38033616551573923,0.38448059399097356,0.4023921817653371,0.38937968309108634,0.4018707858301713,0.7626222810067209,0.5598542648038609,0.5024636418556505,0.5934578174007819,0.9689592460623507,1.2860567083060355,1.356883616630908,0.7303294059969655,0.6366321947097058,0.9065973974159364,0.6687579065317465,0.9052411045877434,0.5966384531795369,0.5831557329905241,1.2756264646995519,0.5552008990081243,0.5780615122749481,0.6176486430395565,0.6870159041131834,1.2700752442078032,0.5779314474724663,0.5971101138630908,0.5162838665583543,0.7152766160652688,0.5574234427419665,0.485745317847877,0.6429340689123972,0.49457775584277586,0.6145189867879958,0.5579687562094052,0.8429105510133557,1.131390693925301,0.7092844133303275,0.9076158142356977,0.5323504149749191,1.1645663347514097,0.45263597517483994,0.49519827016938855,0.43648122856395266,0.47990047251808765,0.4269014121980579,0.4723699273769838,1.0047410702175563,0.44179662102177586,0.5716350063937349,0.40215326767774395,0.40368451402566397,0.5025985422671982,0.3932619412115483,0.496485345549199,0.4673122976503886,0.6985037588841981,0.5795273275136911,0.5000571559505899,0.4623921476433252,0.5630556525103125,0.5739807901496695,0.4634968591014717,0.459560900958936,0.7735641763973311,0.48187911600759736,0.58043176789293,0.40970782509658493,0.47491934651326095,0.6054630896430213,0.5110871520531542,0.8164801805111598,0.5290322416096838,0.5480103823931812,0.7392563134616599,0.48906180964751933,0.378654312498942,0.31254351342974646,0.37855455393964815,0.3804961687739,0.39974291266350354,0.41187989878518483,0.4548459932902881,0.5447150793743775,0.42342585291647256,0.41240428489454506,0.37985748798341756,0.3972238323184769,0.3211658570120903,0.35432451608963506,0.4346777629652312,0.4086685608965737,0.45226854807150996,0.49413161779791276,0.48653318448296534,0.5377345016391346,0.6038436206878021,0.5004895391015984,0.5552889373978213,0.4841524674276761,0.4728354938544475,0.6511350869998526,0.6659805321924223,0.5523374648659948,0.5037097305914305,0.7979927715483736,0.815952947393108,0.5008385082917896,0.4138159578694071,0.4040855285426412,0.44395838489028855,0.351482208846847,0.41857705161884573,0.3058545566292954,0.34074987889760266,0.4817171682577295,0.5475892276684383,0.9785838440768461,1.6482946028579675,1.0613950577619393,0.6125772604513409,0.4501170789935996,0.4650597950726254,0.37522052225320024,0.39879268257300526,0.3628140055961443,0.3856089839597328,0.4317675599633338,0.384882309027681,0.5979356130093507,0.655188276624371,0.8133588519866718,1.2962585820059578,1.2583660013561369,1.1208821611508375,0.795112881492244,0.5815324237583518,0.5641287005656284,0.4026268376476031,0.36192139026638137,0.400418440389614,0.40659377364315724,0.6111874359745701,0.3811911097662997,0.40441432541527045,0.7002708174883223,0.407313991503035,0.44431823635100826,0.5135355736792561,0.49519849699829926,0.5703578982611011,0.5899842155575347,0.7993854256989834,1.4140211213366478,1.0933548639978103,1.1634580400981738,0.7698438089584552,0.8103729290613271,0.7447378997001904,0.633860969155829,0.7242206231707086,0.7828732639514254,0.6067740061816368,0.6304329581656388,0.7133830294503307,0.6070214538057697,0.6258023661769172,0.6002176423060814,0.6208674607516474,0.6628177095641068,0.6510555059947566,0.6469152754982243,0.7136216419226533,0.7870993246467155,0.7125771566690559,0.7680749103235512,0.8872803026936431,0.8934413937804805,0.8492657444039734,1.0448399503447496,0.9980321468106086,1.0678957990543576,0.9977537830415397,0.8777851571344539,0.973056018304302,1.0079860748140328,1.5691989213273407,1.259041931013468,1.6509706364913148,0.9030268696752236,0.8631939814048519,0.818003987051353,0.7555873223410959,0.8705340597483079,0.717233056978012,0.7996741843332409,0.7803725509942786,0.8676431831017349,0.7878754666195207,0.8965238885303509,0.9565809214753163,0.8866738574042882,1.0037993614405913,0.7110654353166975,0.7091796607524867,0.6058019448370442,0.7034198671202575,0.7607500041368912,0.9775979759559974,0.8845329402756176,0.7675526757343969,0.8009372371917413,0.883419748640298,0.8133478693597157,0.8069110505926979,0.9725608341498836,1.1005013371856849,0.8723608411540933,0.925258522604087,1.069493714752226,1.0910436201238238,0.9405916317008723,1.001631993130181,0.9175848003203383,0.8886617721285651,0.7912409323421519,0.8116893119962519,0.8942402210523669,0.7768145402040585,0.7380654123173639,0.8124425106570942,0.8293174649268047,0.7384446398542883,0.7620491185731527,0.9780743586385251,0.8263556047091312,0.8090254826594429,0.8723829583076427,1.0957058710185408,1.0223739608027174,0.9485664963050968,1.148635930903934,1.070975355444293,1.428043645122459,0.9178653665682136,0.8064078377255558,0.7090469793027298,0.8753540420645407,0.8698610362287131,0.9778799448579998,0.8464407501728004,0.7716635105772314,0.7107515861492893,0.5934858952988864,0.5426899068658926,0.6221476399615179,0.6238855836332378,0.7172785471709512,1.380816293358018,0.6188067363622884,0.6202611802976157,0.546063627757058,0.6735894086796297,0.47741164458313706,0.7017611993351537,1.4948299321577965,1.3315059822987358,1.9700231116470943,3.046032057123608],[0.5147923160501267,0.4537440823545849,0.4748372371057988,0.34923764638349697,0.4579650703911806,0.3856442646674609,0.31434785575709495,0.3623744765697938,0.34351318246961626,0.29101212769240387,0.3057603162840257,0.41808210612394414,0.29769273197455615,0.32752643291323164,0.40463535831977127,0.3552979236787961,0.38380963208731445,0.36469401050274486,0.43487034335064473,0.42748853124068015,0.46856407110383735,0.5195648813891545,0.679685229510021,0.8029608943821887,0.6624269014500578,0.5844666743072842,0.5080764642839165,0.37229806242293534,0.3577964967685481,0.37295044615786294,0.41995981469328847,0.40342936527133155,0.5096157554688892,0.43361218164691284,0.36783835575538154,0.3772010925367447,0.36311648683060416,0.41763176876473423,0.393490615189407,0.4427256798113172,0.7830444922821118,0.5976650946137717,0.5287441285769907,0.5972952921439225,0.9725465488700151,1.2757340101178674,1.3792242168579238,0.7479039517191457,0.6585606818988349,0.9370137379796555,0.7086587257540438,0.9059210493502835,0.5998105993094718,0.6180065173117855,1.2886321264116678,0.5507097103077577,0.5777467391187551,0.6472965897025341,0.6743681003284631,1.2884180167277188,0.5871180530673392,0.5884582352032335,0.5116049152189792,0.6943327188804932,0.5483477622405908,0.48544817964911735,0.6052881853486018,0.4549184441599737,0.597862880707592,0.5449909307923556,0.7952516309021633,1.0553235906374754,0.6544905780771291,0.8689658726697369,0.5079374433868069,1.1464141025810632,0.4342186963354036,0.4595297298280536,0.4081133790630541,0.4745400493568825,0.4336390556200671,0.5075264239822919,0.9859609167439066,0.43101506112074095,0.6307880658011131,0.43302313305456325,0.4390069415810434,0.4828911562903145,0.38638797903625954,0.4732178151393707,0.4414420871226421,0.7008385956091105,0.5642378689161386,0.4606913691613849,0.43054802725929947,0.5250522255574409,0.5461929598166505,0.4189661854263387,0.4049790865729735,0.7036766514302157,0.44102600625221255,0.5191394493760005,0.381180895741526,0.45195450195717746,0.6067182169686279,0.5013843477070559,0.75371617827978,0.5053741151513476,0.5233958296207445,0.6994636143717962,0.4745285805331521,0.39564979143163076,0.3323121351425295,0.3684504342580867,0.33906090035851516,0.402680873913351,0.39551980083302946,0.4560233760380223,0.5415039531247033,0.4140665522325787,0.398114714699009,0.3933762534173342,0.3911322527832709,0.3145743557671146,0.3448694250445784,0.44055135162118647,0.4049291376892299,0.44684630608601683,0.5150386024248271,0.5195249487618673,0.5714961620780893,0.6367246362933507,0.5300568047915658,0.5466646534613079,0.5014482612654567,0.48765944081985824,0.6201259237117528,0.6139389317109588,0.5142091384652462,0.5358808647873649,0.7969434624909327,0.8425648040740662,0.4889873177633467,0.4090741913818403,0.4039230106345348,0.4262068126140368,0.3400821755754775,0.3864794477715298,0.3091192493089469,0.3514577667971828,0.47528652556390844,0.5270622570068602,0.8861660178065389,1.6024040264671011,1.0733380415018898,0.5608351527238012,0.42526827166963105,0.4432855439475725,0.37050908426422,0.39027959206587015,0.36967471022478704,0.37137762226394594,0.4143586590764226,0.3944964003238072,0.5687577738929094,0.6565654327781277,0.8302656318893704,1.3220521442913404,1.265165119334306,1.1009979400386036,0.7796529162964569,0.5797405113123142,0.5641115537706032,0.40610033248228383,0.3636495542249527,0.38885843126837655,0.380759413039448,0.5533634170670212,0.3710172149826817,0.38838682818533893,0.7240663215327046,0.4005039595746603,0.4570501944263938,0.5415408008412108,0.5373078781301763,0.625493582166148,0.6564491119157833,0.8506595595901092,1.444180057477744,1.1428106296223182,1.2267480934530122,0.8248467939741764,0.8506169286109265,0.7772339667664386,0.6746922699207699,0.7647454454142673,0.7974507637772225,0.6320523299527436,0.6294269283696651,0.7854082117150475,0.6079182408656936,0.6435744244352206,0.6295373639770737,0.6171743358774519,0.6334532128863699,0.6508069061905736,0.6428780790969775,0.6682794193267098,0.7382191765882693,0.6956758704849624,0.7207726049903773,0.8276542700310889,0.8712104491228672,0.8475551846474916,1.001167251434487,0.9653395983431746,0.9982486083814928,0.9021986799365598,0.7985703006973818,0.8643797796422323,0.8768355840982454,1.4524256704328984,1.1293305597867163,1.5512220049868501,0.829038205280133,0.7722395912803423,0.738800093667091,0.70015629395539,0.8090973613518193,0.6657315718504079,0.773199937374905,0.7585092815912376,0.812433239693153,0.7637051713487244,0.9121440368839178,0.9462651013529704,0.8781526815419751,1.0028484786745084,0.7037678154609661,0.7548903936572593,0.6127683391258861,0.6808950514501424,0.7572915920833685,0.9293935548603492,0.8989013794776542,0.7809234881066262,0.7611883138504949,0.8467240096485722,0.7926724666092487,0.76832818955892,0.9025603602559858,1.0444746699836958,0.8270267118125922,0.8487801712957063,0.972040555422267,1.0113986074818548,0.8762391400760725,0.9151080229210529,0.8369508929103111,0.8078065806028314,0.7314813775738973,0.7446810929467793,0.8118079788114364,0.7195102929218098,0.682680478208139,0.7356755413486915,0.7564249716502197,0.6884079811416794,0.6982722804672861,0.9030738306010441,0.750083921843925,0.783328275445855,0.8397199957437641,1.0829184624860904,0.9902905727591004,0.8815080001972829,1.0942872773589711,1.0087515235791504,1.3001312463011068,0.8470602704079488,0.7571948363228939,0.6752048214831675,0.7962593521034442,0.8027400359586752,0.9231175799739483,0.8140945950126138,0.7724803381142707,0.708290159088998,0.5972165923416105,0.5437634113903931,0.6598639386516473,0.663423224900779,0.7322538729102837,1.3852757150961958,0.6623055633516343,0.6323431768146976,0.5595919243768228,0.732437237789632,0.5053574256716048,0.7013030587779133,1.498896478600954,1.296759507847065,1.8378395384855688,2.881268330013397],[0.5373425246018312,0.5289282540518933,0.6236660087144928,0.43226768184451386,0.5560340889324256,0.4704370746437629,0.40845259684846746,0.4596340697217209,0.3959734522978818,0.33995156969500234,0.33985979158637025,0.472125443973462,0.3410861034039732,0.3518972258140883,0.41903092513727724,0.3745590710143342,0.4136783677656835,0.3821710908634155,0.4449659947112853,0.44553302238175985,0.4767847908121524,0.5286290304747039,0.6841854231609957,0.7994775873674835,0.6866696348852229,0.5954572815169846,0.5357325313495501,0.3992505204563853,0.3983989806700876,0.41715959114402484,0.4385902482305577,0.44197151256525297,0.5426014020127359,0.46375879255040287,0.4006948306777952,0.40710637675955774,0.40706943865674466,0.4410709439271881,0.423998943459263,0.48761298954291926,0.8229635128451263,0.6222190451727856,0.549838516046911,0.6115140879559464,0.995156022669252,1.304334454011954,1.417069456303695,0.7622331441947725,0.6660463050686962,0.9437576675011801,0.7091285100002981,0.8868188197597787,0.6175019367005418,0.6384507492249022,1.317076511889233,0.574350774621394,0.5960742411621968,0.6564610391221609,0.6924272153568001,1.2973296354248611,0.5911097255648741,0.5869462838190587,0.5245330697945665,0.683033933408192,0.5523943271903331,0.4872838556950771,0.6068007200889006,0.4672091802499145,0.598847521967318,0.5543550860803969,0.7932288029917981,1.055794851278384,0.6611721946195287,0.86536825759725,0.5186412895500853,1.1396112709917119,0.44870274981742014,0.4839515400460597,0.4336907491438042,0.49772325058817884,0.4650700405287839,0.551718632276089,0.9780880420325438,0.4965206306500952,0.6532842860683983,0.4769297869095294,0.46605756727388703,0.5127207957472074,0.4111531574156633,0.5034109725232983,0.45798102633611504,0.710044984240195,0.5730305572352951,0.47930240233788424,0.45424727001697707,0.5415926156088072,0.5597348111762259,0.4503976667618115,0.4603749213076937,0.7383490886958368,0.5044087393410528,0.5717827129997807,0.44553567960673923,0.5340827196943913,0.6835912321952972,0.5797907057738481,0.869781486437357,0.6243059891099219,0.6370806127322882,0.773251016468672,0.58207711735996,0.4862664312401738,0.41469020776822296,0.42632325406851923,0.3683830589419544,0.44480358061102176,0.43080640998324193,0.47788229579150243,0.5367932151491487,0.42722604213047927,0.40981172659098425,0.40644149287108017,0.4144432369320654,0.352423059746306,0.3875972493195236,0.5054038654127067,0.5061000737295367,0.5412164537826715,0.6350791290735704,0.619811199586721,0.6844600587220132,0.7667589623586907,0.6454364627488139,0.6224592285744717,0.5873613689091963,0.555867052841898,0.6720465194856194,0.6673434850410638,0.533144297642595,0.5766241597729768,0.7948556087956418,0.8541745557328287,0.5113401260467142,0.4378934772367944,0.4569142844598131,0.4544833086542301,0.39396228971000924,0.41850992393466857,0.38209523040029436,0.42105257938451507,0.5528100943047913,0.5753725183424625,0.9523006955768564,1.5795427390922085,1.0514986071742658,0.6159665791854609,0.48094630433433705,0.5192735533084009,0.4294713703127452,0.46817141916306976,0.4370283856807259,0.4253494572427576,0.45703981172888675,0.4472842472279147,0.6382978931893948,0.7285358639601067,0.8883112484347103,1.3722683236683226,1.326660295444808,1.1393039524154838,0.8331810605676117,0.629106081378005,0.6208907774962706,0.48968640181679063,0.4450388406492734,0.47065301878397603,0.4399612136845822,0.5933627227040126,0.44110786335837265,0.473770740602826,0.8036571309602882,0.4936720485162851,0.5518462117415841,0.6288097946206294,0.6083724014771671,0.6887036905819269,0.7118660617521138,0.8802993420705647,1.4671196526031545,1.1797671112687678,1.2593050520626636,0.8573646028519603,0.9191538442366538,0.847499010348454,0.7698722876652688,0.8914830691748191,0.8867156234402434,0.7535674695011846,0.7677831668202041,0.8866708282016987,0.7489553840224258,0.7779453333245936,0.7557303309135456,0.7620021716332146,0.7836148648662821,0.7756765884571156,0.7672185317099935,0.8141325724302964,0.870794342914684,0.8130233170548222,0.8535457692381005,0.9728823980211073,0.9956907214451124,0.9917188251702873,1.1311514467463781,1.0514012124205154,1.1514095453257298,1.0371872621699736,0.9507693329164774,1.0177071293090225,1.0458437633852256,1.4866392587172823,1.3075924180942793,1.62595657920385,0.9840935909346142,0.9472912243728278,0.8967723775428389,0.8598414619934106,0.9864802560961509,0.8317521986317834,0.9226952940657135,0.9032977336543478,0.9578098422672711,0.9228247904725773,1.0185672619015724,1.077558355951668,1.0050317979984944,1.099642228588285,0.8474353355780495,0.8680824349718276,0.7257165603562472,0.7860087058351863,0.8279792053204902,1.0478967186780324,0.9605383960376357,0.8485250737545539,0.8892854001488645,0.9443608882210662,0.8807984968567855,0.8883176367492402,1.0157982752387056,1.1360496265405924,0.955056114409547,1.0035521912201866,1.1111976683741058,1.1620996121467533,1.027654342801656,1.0796069033215219,0.9957136126526009,0.973860924951065,0.8845615536140214,0.9077334838369938,0.9822583003290832,0.8722737771688205,0.8368060905334668,0.9013441721186398,0.9118991963189239,0.8411014045198267,0.8560442739564502,1.0661754760828595,0.8992521603978396,0.9233023767093693,0.9814063330791855,1.186556679999882,1.1000780464399984,1.0249688455923212,1.21534453577459,1.1264644144721054,1.4683724641776874,0.9586504910280087,0.8649506457222579,0.7983133366000612,0.9139667987513794,0.9486966018296349,1.0687610908958662,0.9494902448636487,0.894067336858287,0.8341946782653774,0.7348047289136516,0.6697236001616914,0.7911453937542624,0.7644722229095764,0.8137826274678016,1.3561619031936059,0.7347155030229658,0.7363135891441082,0.6521848836115899,0.7629482000637033,0.5925188319998502,0.7746502745337053,1.9069531911514113,1.6781616386695641,2.3903018821910083,4.139942981086712],[0.4196674970599655,0.4597032467619422,0.6143747336794022,0.3932264960429439,0.5466830198846546,0.4087304838568795,0.34252370145472083,0.40370305683907187,0.35276793823494396,0.29502823066498607,0.3312714212891962,0.44187226683694014,0.30750509450510044,0.3427347656338313,0.4255137525926003,0.3684116412837821,0.390041750443117,0.35996000488121244,0.4355228380932555,0.408671084634426,0.45404884410565294,0.5084097792339113,0.6744505521079943,0.7852147941764337,0.664374068599039,0.5676236872667874,0.5075241652093151,0.3758779691212404,0.3740985822306679,0.3846868949671288,0.4240262533437277,0.422563767890094,0.5078061233095292,0.4452277945637538,0.3752070370768158,0.3808568429122494,0.3853973968349117,0.4053946003430969,0.3921573011272471,0.45206674272473846,0.8199742430997546,0.6023294507267735,0.5184611841447521,0.5815584836502065,0.9959477689442453,1.3230179961658182,1.4358260973494101,0.7401684829656492,0.6359459031495137,0.9360364343678725,0.6815439360933209,0.8728853299565177,0.5974312259719661,0.6019996544079919,1.295862331771998,0.5398182136563721,0.571104250942907,0.611360092487451,0.6653771643560562,1.272160046137008,0.5628674668048738,0.5755500500096524,0.5039512711772531,0.6477295005893593,0.5342475030544384,0.46920491492594313,0.5939535749906258,0.4457811284186383,0.5846219813046397,0.5492209630899775,0.8027974829545458,1.0860888402819426,0.6858599177302633,0.8611373717571336,0.5173873598288424,1.138298989277031,0.43431071148281797,0.45974151749171427,0.40477212742956864,0.4770832297184244,0.43343643880769855,0.5046639692369126,0.9793304327535589,0.4614018333722187,0.6003847886394245,0.446350979808189,0.4228631330525896,0.4914823673013913,0.3794035418998,0.4822053393156464,0.4427157829064374,0.7054215831120857,0.5638607590402198,0.46804015223786144,0.4448897188347592,0.5518360176183835,0.5643562527550422,0.45188936111162065,0.45570386615886416,0.7376140546597277,0.49004195634971304,0.5744385319044851,0.4141841276955743,0.5014017669366371,0.673770096272125,0.5382971327350935,0.8782540406723486,0.605297731694618,0.613965945694515,0.7429558344087456,0.5315834451099324,0.41354152439693526,0.34988640774794666,0.382357023922026,0.3341588993608194,0.4094386303773017,0.4059942578597202,0.4610372093643201,0.5412880834941598,0.3956164684408667,0.39314721409223063,0.38043428930387985,0.3924629291114619,0.32490831652941593,0.34917849112418237,0.4908217572249519,0.4376901415497296,0.5018967989559695,0.594133545534298,0.5814214822014446,0.66824711956613,0.7671211455323992,0.6527534996471153,0.5959643111524048,0.5834026096297495,0.5483485443213225,0.70114583424605,0.6534489301908689,0.5336799340444396,0.5548547903469645,0.7729653989242434,0.8342521827546602,0.4981040078712788,0.42586112707589413,0.44917294107336575,0.4374513950638493,0.3676996828657204,0.4102459390452802,0.3335568175884169,0.37654681142295443,0.49494692942692226,0.5435405713893374,0.9590931157508154,1.5231245979914965,1.0009606743146702,0.5845895745426103,0.4414719266412579,0.4725239632196291,0.3834135329351119,0.4244003467646074,0.4017590762485649,0.3894599481075412,0.4428793315625128,0.42461226687975595,0.6300630479882927,0.7408843002175892,0.8635183066707589,1.346130652653191,1.3104328573756099,1.122514135115193,0.8215875285311082,0.6065449386742264,0.6013540162286336,0.4608298008862379,0.40376550587802507,0.43022140653913205,0.4105780365929902,0.6049886847879341,0.395012649810952,0.4600299457972439,0.7749061626339614,0.4727197621609288,0.5341331047178293,0.5947824605193932,0.5835596909590611,0.6608669978865047,0.6887440388147471,0.8637461791934006,1.491177612100905,1.1687663347824333,1.2353973971983465,0.8306250515068049,0.8881859616257166,0.8255899566599806,0.7635517047337566,0.8976206291035325,0.8817337685975563,0.7374761527165694,0.7565642539255976,0.8508376189024647,0.7258435934307994,0.7539294766934286,0.7265529951296587,0.7484319318897444,0.7780543415630611,0.758317996061209,0.7591835466473877,0.813463309383149,0.8644266167706236,0.7907570145410454,0.84716572200261,0.9812002030494081,0.9838216596719622,0.9632140953247458,1.122093076648763,1.0121584324937187,1.1722149878020054,1.0405750711334036,0.9625773340133844,1.0506591365232856,1.0991822487108005,1.5199393762790927,1.3767216342742086,1.6167922712116898,0.9792976105793986,0.9617369255381722,0.9247447758438974,0.8753745549538747,1.0072590351015764,0.8541260412044148,0.9634130933143379,0.9087321597824638,0.9694897818692041,0.9497790686672974,1.0209290866513354,1.0574335928524328,0.9989091133358647,1.064370964760032,0.8436883525990012,0.843509798316545,0.7092617009407662,0.7878269339257842,0.8016414177699611,1.0622338184005786,0.9259504658790879,0.822386888622502,0.8806548208737567,0.9503892100202067,0.8619633592697813,0.8803092293262328,1.0104642001666366,1.1330737389894747,0.9266435938989785,0.9979399358112593,1.1267370806245778,1.1780779265506116,1.0398829878514881,1.108907836451155,1.021126355143702,0.9986505176842174,0.8894631222628635,0.9248522875324107,1.0216030914259135,0.8841104676469403,0.8436066155950129,0.926259754064242,0.9294390114028382,0.8464740531083987,0.8572560381980713,1.1118397754652982,0.9114052277475302,0.9294666195625374,1.0061960533428607,1.2158630031111097,1.1295050000674371,1.0614240172381946,1.2723777018409759,1.178957056923979,1.5238996430388012,0.9768803768215789,0.8589974287536063,0.7995245524370659,0.9818403361343742,1.01519485181003,1.1373159769852816,1.019265472838853,0.9264171367779347,0.8384576226229671,0.7243241894763331,0.6527724660046588,0.765180777316961,0.716915240792505,0.7800867332740392,1.2759831893835138,0.6799582071295848,0.6758470709927938,0.5711592079281743,0.686676532752393,0.5007123869843438,0.6992883369146061,1.9864535533822785,1.926895284353425,2.864990790921614,4.8401715033581665],[0.412838648373087,0.4235081687168794,0.608082966603947,0.3477518917155142,0.4911669059161115,0.4115377446982118,0.35094301711438036,0.42426345168108015,0.3965538833975472,0.33513381945740467,0.3810580049741231,0.4832843099299164,0.36067202386217767,0.3826688043826442,0.45887114478107766,0.3956258982443405,0.41353093304701233,0.3937499872942189,0.4458216762182641,0.39988258294700957,0.4661558986212228,0.502204704977271,0.6687572307072358,0.747047202457037,0.6263117330243239,0.5444061254960193,0.4688435208775952,0.3922471318990691,0.39517116493068877,0.4147967700782131,0.46088377095042504,0.45080433457187036,0.5279557588766167,0.4730998118044375,0.4077762275513327,0.4067688922321538,0.4087209791394113,0.42639463463657173,0.3978790962942668,0.43783275206227673,0.7765392919850415,0.5687241525075001,0.5022983466942703,0.609733026858452,0.9574088025773939,1.2916319767494995,1.3700810755747683,0.7204058315913301,0.6271690658967695,0.8753018959649764,0.6443166478862705,0.8747080300786556,0.6014359646186019,0.5916071430369931,1.2838562151683446,0.5582314701841736,0.6045682529502354,0.6138275050511894,0.6885502012448969,1.2750746192975684,0.5932086550682165,0.5968364282454426,0.5193227789157788,0.6413518845580681,0.52673583297732,0.48830890164101476,0.6327082693298892,0.46622409133406745,0.6067642688464463,0.5754033220305296,0.8379345839349698,1.138441398291886,0.7144819614712463,0.8645948110406736,0.5308998338309766,1.1250616746829136,0.4460965080515126,0.4591346652954317,0.4184698562273744,0.5113442050608576,0.44832515633314185,0.483729141513848,1.0139656886325847,0.46360236615501715,0.5656614809583455,0.4496298548078638,0.4174989090624475,0.48872485711980396,0.40349738237238225,0.5067377591766279,0.4639453467321906,0.717537266279149,0.5896261249905695,0.5020459389819135,0.48617341665989555,0.588873987889087,0.6119641368078533,0.49040856956474893,0.4940102217240211,0.7619598991869986,0.5181814560318396,0.6119311408021664,0.44485420280506704,0.525655706265681,0.6785450026826215,0.5290641941720448,0.8730769831820465,0.581663013890152,0.5864672666071161,0.7374626713908761,0.5110027383176116,0.40109217962466387,0.35448446882152934,0.3959287521229023,0.3694069449168653,0.3748259041149212,0.4109894773176203,0.45272428832086464,0.5544717837458706,0.4041266427335987,0.4191524592465886,0.39764426979327766,0.37638873407614076,0.3217931752839016,0.3761014611571024,0.4441389640203688,0.4189135179588108,0.48919468880482764,0.5555018703242853,0.5382255199291112,0.6193140420092608,0.7174512291894339,0.5973257722829898,0.598864294681482,0.5433329025204218,0.5316989946750326,0.6878440546656048,0.7108082896388054,0.5477281853180175,0.4910378623765502,0.7480185644225608,0.8056483426874474,0.48901923637820116,0.4180020714199047,0.4353690726964709,0.4718353491130735,0.37659061197121396,0.46673411019471256,0.34390831203126593,0.3960255319821902,0.5015819560006617,0.561929623144131,0.9848854286639157,1.5229820596450068,0.9859293620373395,0.6073553439480922,0.4692731062143621,0.49052400139340996,0.40177550564679665,0.43250417493257826,0.38892702364317877,0.41104047212551464,0.4636780375481093,0.4241096749124153,0.6452528673367388,0.7071823478392825,0.8384554849555678,1.2980500955133905,1.2766867360529572,1.1254357502379762,0.8139396613777811,0.6147766119118654,0.6036023990181911,0.4302016387833364,0.39064997133399143,0.43852713816241706,0.42926500617184093,0.6320548271482999,0.39852175902128584,0.45702681756139285,0.726205067600058,0.44849347443199594,0.5065275756879225,0.5600844190195167,0.5456040602780019,0.6093547387672605,0.6427107220064608,0.8226833444578003,1.432304669209561,1.1141075582532747,1.1609641980106034,0.7589219412782567,0.8283978914610667,0.7815642621092433,0.7066139490212733,0.8338954349065302,0.8315993612722314,0.6821823060351603,0.7019181696765766,0.7969569816724033,0.7024290549765909,0.7251479717489419,0.6877862524454869,0.7141822275664103,0.755028756216365,0.738349131321689,0.7306335104786639,0.794796868215211,0.8629434988045487,0.7767670430831713,0.830536272418688,0.9693501693460086,0.9789069890038193,0.9394625643904446,1.1069752732903904,1.0073882196930053,1.1624934949945434,1.036719200843913,0.9506091531265509,1.0380231742490058,1.0828252411716284,1.543033382551893,1.3339539533245741,1.6304413207548991,0.9722643913888862,0.9489742386734458,0.907078672125214,0.8507167253753258,0.9718592281995915,0.817130298020743,0.9055136465410492,0.8526554194032173,0.9228525277707421,0.8817241491152514,0.9685875346173588,1.0074478447862902,0.9393429355078144,1.0272207002040743,0.7999084868196532,0.8125842048024393,0.6868759927198921,0.7549636927037447,0.7806316287253061,1.064066184277371,0.9210394974606061,0.8057674250436435,0.8753780411147428,0.9463763425034387,0.8582058220796999,0.8816083521274418,1.022784965595616,1.1471844325943128,0.938640928432998,1.0085823783822163,1.1360656290789297,1.1812012091016142,1.033793616469681,1.0947247724461233,1.0148777479827469,0.9914134444130632,0.8861761067835829,0.9170781527943251,1.0082541919731167,0.8706692269657721,0.832465830469644,0.9117411695366027,0.9188266692498476,0.8218117733477781,0.8391601556682872,1.0596985070181921,0.8836249741951968,0.8833633824853597,0.9572078064652998,1.183382610708771,1.084222858919387,1.0194071798585846,1.2189772816145368,1.1429593878137634,1.5249900530591567,0.9735091234371368,0.8475709498344717,0.78463433539054,0.9696499591283503,0.979607285318608,1.0860320588204913,0.9600889350845611,0.8687917653441928,0.7878684608793196,0.6674006652019743,0.6111226722583588,0.7203222423514726,0.6817264553143216,0.7696794919288524,1.2955940270290465,0.6600476932888978,0.6650894986940198,0.5451267195717032,0.6600641027128075,0.4590747331128919,0.6844946619994807,1.944650255978679,1.8670636432152878,2.7375996035440266,4.583686183414402],[0.49842432428462735,0.46621485610163493,0.7039581389422571,0.3541742383364353,0.4595127997587926,0.4445829713817411,0.38469359161899347,0.47167831474190136,0.46452752525311464,0.4432651518725894,0.5363838901510221,0.6235307133338158,0.4945727526985718,0.5089508526803426,0.5994242150675689,0.5314171051228327,0.5229850731094215,0.5349333821673241,0.5715258421669006,0.5071355092605444,0.5703781936292917,0.5530755517289556,0.7306706184816535,0.7957694874366653,0.5921080518297173,0.5625884088905788,0.46119633861883164,0.45905225581209685,0.4969056514508813,0.5063001260039333,0.604799169385821,0.5579746995431596,0.657372020611412,0.6217952012652294,0.5455771147741705,0.5230741334482406,0.47827544591365123,0.49673553499878154,0.46331321483844157,0.46174515764754603,0.7009492754832327,0.5435978381923999,0.5087838662797592,0.668567294787974,0.8981476489579405,1.220808888936882,1.2517429954031345,0.7333618962383377,0.646435931026451,0.8402340798068195,0.6418961254128231,0.9064794319656089,0.5985226573682597,0.5998963840352473,1.2687173058092518,0.6010499959163959,0.6428864043113767,0.6384116312364121,0.7530654012713682,1.3317892353409346,0.6753735423105934,0.695368084867311,0.6580795457441779,0.7647039422553383,0.6142138509665858,0.5940048062244105,0.8048357975174271,0.6214729102498012,0.7429609327054375,0.7196094975583018,0.9848038387382951,1.336378792967793,0.8953414637761592,1.008921498991903,0.6520361418183699,1.2057598574159496,0.5850962900373252,0.6031517971291303,0.560555966859527,0.6080872142139309,0.525120727704645,0.5043550702115936,1.0291565755081868,0.5198126965105551,0.5643254218943172,0.48541474230574083,0.4795535035266636,0.5557172084747062,0.529733561801083,0.6296634534653747,0.6180572968673845,0.8200267323575262,0.7213703496795328,0.6660331445822174,0.6343319205887415,0.7417191465058712,0.7442152196999937,0.617652353998046,0.5883828742483636,0.8428958155755416,0.6006255977839682,0.6823144302674216,0.49594435707087536,0.5453320262374243,0.6697424021795658,0.5647569156739781,0.9268742576030787,0.5818755252041269,0.5897170981419163,0.75256110376641,0.5308424501840276,0.41969534383533447,0.3750058430765684,0.43655304894221153,0.4757751677626943,0.4093399145427722,0.45792616133907926,0.5031927372796704,0.6623621592734236,0.5335373029129249,0.5515872856556726,0.5352682740327759,0.4541775634604112,0.4067634869812169,0.44040791281443387,0.4399866142505856,0.4306240979631999,0.4835612437248781,0.5627052688710472,0.5511551685032697,0.600734892426745,0.7171969155539891,0.5681409327484498,0.6233906351668929,0.5301984837006035,0.5296186642938729,0.7071811030157161,0.757383098078467,0.6104230077787464,0.4652322211492285,0.7607130297648018,0.7936643274799655,0.5537241738840712,0.4641712322451851,0.43481867214694553,0.5349085768027578,0.42175939141244734,0.5390487044206266,0.3813558244843618,0.4203147546400815,0.5183511628676138,0.6014200290226018,1.0537005751690718,1.5626748746522643,1.0215778765405132,0.6949161964022954,0.5399361523122136,0.5410807365411536,0.4649793273838462,0.48110974071492457,0.4030238990810946,0.46503523290009496,0.5209562060982126,0.4574969525614321,0.6686306932937014,0.710935033597961,0.8252726720035211,1.2436081466613986,1.226683275305742,1.1181364008181063,0.8217815426536903,0.6341227420089252,0.604684037403266,0.4437786315447447,0.4172168473594517,0.4699600671638351,0.49132128811676556,0.7211865130513508,0.44545583184461013,0.49482251836507696,0.7182599027981187,0.46009335655497147,0.4950775354249953,0.5466295246620168,0.5162560582392759,0.5852209107573354,0.5989181072181118,0.7647869110567431,1.359976809413654,1.0793019683739098,1.1162671314553478,0.7228739682797523,0.7783942677899288,0.7255498349856052,0.6468138485430122,0.7771470690206381,0.807593250180032,0.6655630402056576,0.6993039455691235,0.7928170915715688,0.7242115561358811,0.7405911604855981,0.6903056437507598,0.7332753070609896,0.7844227357871386,0.7477023910127888,0.7485055341556301,0.8324814044362142,0.8848562879632839,0.7845118740379192,0.8671176084071093,0.9904125153884636,0.9473103590565004,0.9183126253584988,1.105904506931627,1.0323721012169371,1.2128400196861495,1.1148174186710476,1.0166271190790983,1.1054630321068475,1.170225375435797,1.6983071898750075,1.4204459908020486,1.688907938670017,1.026455002800352,1.0033199777832056,0.9422882158012359,0.9030219849377887,1.0178791847973423,0.847602190977384,0.9367389767860799,0.872322231584273,0.9484615678239903,0.8922135351328733,1.002690737884808,1.0036436033022145,0.9519861255013208,1.0092851667573657,0.8107024350470978,0.8202261769047052,0.7071034197325359,0.7829078717665399,0.8163750769265704,1.1311825559526547,0.9573567540249526,0.8252312552743625,0.8890523974732681,0.9736277492457288,0.8610928345504053,0.8932880397699626,1.048953188112811,1.149817384818102,0.9478900385033399,1.030723685442684,1.1524593447152642,1.1540905210206778,1.0500127377304247,1.1270813905787362,1.0420971082206154,1.022436191923651,0.9287708831334902,0.9696708683527473,1.0523416525595592,0.9040621506565675,0.8844360699827821,0.9649170682811823,0.9683062032828013,0.8569612436625711,0.8948572420535809,1.1004490031111662,0.9272237199896308,0.9014112909497052,0.9894007200855247,1.2257481428215264,1.1210903488064061,1.0674853822555466,1.2965628274727792,1.2134341154651438,1.636148870231537,1.048123302396265,0.8988955127852345,0.8356684439843537,1.0514699158718621,1.021922653016962,1.1132857656653703,0.9701055363061244,0.8767132646833126,0.7719482847754373,0.6574646145847786,0.5900086404143422,0.6950695835455496,0.6722569894016976,0.7828146053038237,1.3448354112084338,0.6413083873383724,0.7230947688237694,0.6379195082825326,0.6663061334535665,0.5546231003516804,0.7784264834142437,1.91692642351587,1.8136252542612066,2.516110961376141,4.149557410978588],[0.6437200773181146,0.6312615668103847,0.8717847487338167,0.48818731762883666,0.5439209990215597,0.5659288631617849,0.44223007513399265,0.48785647822771766,0.3898571810064093,0.3459639356251608,0.38070108548799997,0.49309877114885126,0.3947679306967491,0.3547112992050745,0.46189992515054085,0.4147058470991542,0.3994571248975461,0.39395268246190984,0.41252467356895745,0.40666661322972253,0.425208506774699,0.4462323953331443,0.5719945196909835,0.7139299548353313,0.5494445929866058,0.49200703380960575,0.41374330393834496,0.3702297576759724,0.3880944653618181,0.4410741147583119,0.4633595579841184,0.5039804505961752,0.6097195647251085,0.5449514228951605,0.46832093529463603,0.42579888691094764,0.43808365735448984,0.423856541034852,0.41980324330897656,0.46419014214734744,0.8161025435060133,0.540062464141468,0.47637267404401074,0.5579928213860382,0.9506357690224496,1.3189268913999515,1.3089040793017441,0.6915491670051538,0.6160928012639039,0.85222033353753,0.6232010076410258,0.7889960803675137,0.557363246683581,0.549030474285391,1.3531537661634863,0.5876063372025251,0.5481079336818189,0.6250169325287379,0.7480938231057522,1.15791385014253,0.5352642688720733,0.6048400973312144,0.5406914384353386,0.7253161190069136,0.5213846585282408,0.48708027609088683,0.6579177614084605,0.5225917380680066,0.6204290105893249,0.5553919728442874,0.8906787658185676,1.291790926929898,0.7705482034852096,0.9252233263573244,0.5241604899058899,1.1672490857765567,0.462142432904108,0.5136727433157047,0.45473045411352764,0.5177214583694294,0.47267584523110323,0.5315090989783845,1.0566171237595314,0.5763671006134528,0.604901757715148,0.48702557113048073,0.4421762354440844,0.5292569255650903,0.4294413045236594,0.5388096504360924,0.4944803757619584,0.6607728206539558,0.5760404214756962,0.5406028969439084,0.5023704530441773,0.6037481750639491,0.6259624175696694,0.5222535381905726,0.51457714612265,0.8297154688205145,0.5611553497124601,0.6909280054265274,0.5346833185660526,0.609060877428845,0.718127503314134,0.6821487990038927,1.0220759331305906,0.6627517448518148,0.6630839681887551,0.8139836084090027,0.6315646927651095,0.520555379307954,0.45401939548761977,0.4203343684207552,0.3753639178528554,0.4498044690756037,0.4182926045454015,0.41542482031870853,0.5143610078048277,0.43713329626610414,0.4006179142463854,0.37908084620836685,0.40066001394684664,0.37585529442162463,0.378092731011813,0.5079020428927824,0.5924071515681595,0.534097578179849,0.674430118557557,0.674918964931792,0.7209996819495335,0.8815170571744705,0.6803684724017103,0.7323934926774225,0.5842074329285594,0.5215170260043027,0.7290654782761119,0.5913952005816618,0.5371956798150787,0.5529981693259254,0.7738975598371891,0.7562954436712245,0.48225769227214166,0.43178689773528683,0.4325971152028106,0.41041971315883885,0.40593076831598124,0.42634170943723154,0.4123904846627836,0.43062334585224105,0.5662019206299899,0.5916596835260067,1.0691885409629764,1.6055983771971785,1.0377614880893937,0.7080586324057975,0.5220254589215134,0.5711725258576154,0.47220854595068595,0.5392834366414554,0.43966177000840256,0.4255802363927224,0.4244650011649859,0.4122799912538332,0.5452497275061606,0.685107624262818,0.7308022443646977,1.1281080210467087,1.139282206118034,1.0383117098873473,0.7575563437409435,0.5558174857688429,0.531797682135763,0.509226611850066,0.47861091181264026,0.5186857727352546,0.48592748935677493,0.7499156751504735,0.4820135530492934,0.5682635932552248,0.8028681891171358,0.5615533728432743,0.5855911953154804,0.6254841122739165,0.588479552648057,0.6600263871796598,0.6627043647459853,0.8590515764219223,1.4859286440720312,1.0023773671324923,1.0066912770371081,0.7708980460697191,0.7621993124271482,0.7218199813109222,0.6929804318505104,0.8308254385507174,0.8735940008555815,0.7354867402772943,0.7769467013732816,0.9268256409580714,0.8116133650080262,0.8400857254965005,0.8065824032869315,0.8197542852188704,0.8560465700581802,0.8349681642011859,0.8487326376371792,0.8858044992759526,0.9256218463349095,0.8563587438246506,0.9249349391502361,1.0022208065030693,0.9725916228129712,0.9569812272458091,1.087286139867932,1.0634791892809878,1.1996950246260054,1.1212923041546352,1.0354579220838889,1.090837424412406,1.1491870719886395,1.7798827428303183,1.401206655154293,1.7284700273698683,1.0364317968751278,1.0211441235868937,0.9747571478168765,0.9542200650592667,0.9874184637510827,0.8801521597286501,0.9896850975370677,0.9124677867456912,0.9669729634530596,0.9336203303215627,1.0805214889944967,0.9995352714345219,0.9840996239540336,1.0288472785338003,0.8762271257434712,0.891680981822518,0.8085036850730994,0.8800531602373279,0.907356265867086,1.1844362508021853,1.038610993006525,0.9166952325304205,0.9429780745648844,1.0366335713113588,0.9400141299574962,0.9529967230021191,1.088908838035604,1.1787452747060891,0.988212310186306,1.0425406974603628,1.1541121289922116,1.133317516588839,1.0513360405714067,1.116992192309937,1.0341517688534863,1.022533315568203,0.9613257556101795,0.9929688920254264,1.0433990438836438,0.9289448889716821,0.93278994226307,0.9676503116170394,0.9788538473827372,0.8976364852707192,0.9223793273373115,1.094603462246828,0.9519172484977544,0.9332807509120247,0.989826920142573,1.222988797739001,1.1389321574807798,1.098063502017138,1.2812979378838385,1.2074192085504443,1.5943641434765128,1.0958870884432943,0.9665034214015984,0.9369762230205227,1.1592542156929584,1.1165689648095516,1.1669922940112947,1.060508000686235,0.9776100792909521,0.8444194815749866,0.74751879155481,0.6963655367032143,0.8211888161223565,0.8068296443561449,0.8894545410917013,1.433021889702284,0.7596982948120009,0.87597571583694,0.7785737318331227,0.7517121628465878,0.7641601885792257,0.9413293840235739,1.7909656888913614,1.581761017124222,2.1226023269003615,3.285569916448864],[0.57919203458237,0.5656073141925733,0.8991476669366942,0.45410719186525195,0.5899897587186033,0.6264862073891406,0.5770538158338993,0.6645297178300291,0.5780662661142338,0.5518140214229711,0.573235852959495,0.6200177320431586,0.5742988339303273,0.5390976680295669,0.6223317828746625,0.5857061733990402,0.5691967833944338,0.5731102980638862,0.5705559046579636,0.599848758747494,0.6001594018574582,0.6589729464513729,0.7264236053821809,0.8585478140876851,0.7831952419110519,0.7210420363574265,0.6454643722834724,0.5733253973997235,0.5728845449088075,0.6285930763180858,0.6254437684814907,0.6496374437247671,0.7221311926583462,0.6708027581740023,0.6164250481219121,0.6202932018034445,0.6322130996569435,0.5997209832757836,0.5953134997759765,0.6645381225229879,1.0687375137695498,0.7932035254642781,0.7067355563286686,0.6611351798348922,1.1305714286777944,1.4920341029342115,1.4819996494775804,0.7834712207562248,0.7881975971728128,1.0109039301377347,0.7953821630413864,0.7025156688803491,0.6831550745629217,0.6658071985993648,1.5712549773750073,0.773005247133767,0.6467813724517926,0.8424684167380556,0.9200482650469103,1.055107249969753,0.6178692910729944,0.7145140633151357,0.6521505526627138,0.8154417859006595,0.6637575035562556,0.6215795812859045,0.6974660721154483,0.6469715402942731,0.7474117442433752,0.6764088414209023,0.9845650953873466,1.3694967608679613,0.8785358290296198,1.0218936642492533,0.6986640258579622,1.282232055406331,0.618196368929867,0.6497356807345557,0.598526749461016,0.6961556059597154,0.6824396335036206,0.7564130407494438,1.1114429410035884,0.6860076758888323,0.7906075671977316,0.686521425973714,0.6454364837935005,0.7084038182902037,0.5984077871343263,0.6905914144958291,0.6245307415833234,0.7816309160229591,0.6960534356878519,0.6406466015837241,0.625792887341837,0.6774288231862833,0.7317872652584277,0.6507862640450727,0.6771799870653723,0.9058740018014187,0.7392939648023444,0.837300164180197,0.7049998009684025,0.7477062220025427,0.8319135975091008,0.7948622688225683,1.1158555212368106,0.7452015684506308,0.7398240520611226,0.8624779366623441,0.7103767466626421,0.6360296110218375,0.6048659647746691,0.577056842926235,0.5449706881340766,0.6216917456613026,0.6290159155072402,0.5782276654033678,0.5999116905319026,0.6164410767739543,0.5397407804233993,0.5335405796741151,0.5810827189797992,0.5418884533597169,0.534770793564269,0.6256155547333149,0.6738144883870008,0.6253062188203888,0.7563625819275707,0.7667147369604003,0.76251471697378,0.9357801540790398,0.7464486996852916,0.7926468735957003,0.6799167426051311,0.6336717638915524,0.7628199575369474,0.7236080954042092,0.6297873997526757,0.6900366657562056,0.9044844336412982,0.8884735438378252,0.5823942976595413,0.5918439310782505,0.6555638978626604,0.5738887644650622,0.5816759430821519,0.5587709735939043,0.6001828495117472,0.6225102997642679,0.71917766265555,0.73342501813621,1.10673404489109,1.5681092097265994,1.0911846544059476,0.8280023180921019,0.688160020479118,0.7258764173734571,0.6465801840572576,0.7013462673895818,0.6075445845291191,0.5847904655572932,0.5207503417895458,0.5692771945403386,0.6799670999573127,0.7764132481487911,0.8911439754193119,1.295631641658582,1.298490023029396,1.20379937665516,0.9132915853393468,0.6919934981381757,0.6952243143972989,0.6406486819532816,0.6400955884648749,0.6825123592551062,0.6529455072635972,0.8583136184417042,0.6424820381394412,0.6835280316776781,0.8824962417061116,0.6809656640269027,0.6984968526726668,0.7222236020277099,0.7120320950199978,0.8369400863438816,0.8909086742865547,1.054254328708549,1.6177808345722422,1.1605942796437818,1.132126449919928,0.838734814887581,0.8169824399854995,0.7932199650403791,0.7556322776971589,0.8646680661319643,0.8811248182110077,0.7598523572990732,0.7947303458008916,0.9375565154299592,0.8534876861905514,0.9102473120512714,0.8591186557341446,0.8366921998335196,0.8971329665526664,0.8737960763959304,0.8359044008621928,0.9191573186873137,1.0034353866334556,0.8763162987883027,0.9378977593587863,1.0639297989734648,1.0214755076664797,0.9589458571254346,1.1288509992767901,1.0842671640710473,1.2507685266054414,1.1577899197249784,1.0809582058731815,1.1897515211436145,1.266987812429782,1.8214827372729812,1.5362768933968218,1.8043709313419256,1.1440554950427062,1.13215961492187,1.0909348438247715,1.075033974574339,1.113477189592901,0.9712803380521706,1.0674490179654643,0.9825850034580002,1.0266835160168641,0.9826133218360125,1.0939509304843835,1.0619983817977487,1.0030381049545753,1.0367648493910873,0.8995185208330498,0.94492125935435,0.8673529069154127,0.9516331254135814,0.9888810770311315,1.3067042580770036,1.1134618332914936,0.9849823138069606,1.0559158604150316,1.1790307437697627,1.0359879902489475,1.0494022896858561,1.217404943732496,1.3016097322123275,1.0959041822343383,1.189364735111584,1.3104354964058953,1.272866916282765,1.1729473083537276,1.254746681082015,1.1576816677944461,1.1555049733291969,1.0692134807529579,1.1103843740214003,1.1721857037130674,1.0101306712935099,1.0031862867683727,1.0603282928139013,1.049044983752711,0.9386208555195145,0.9778475346837799,1.1420616194504158,0.9798386120391611,0.9637153101027524,1.063537796647889,1.238075434465803,1.138025069140512,1.099589003212023,1.3326821868335292,1.2130648162069653,1.6459270125798713,1.0774501499354565,0.9435010407211681,0.9082969035419657,1.127413480256057,1.077450877114023,1.1377662154298345,1.0150747240875673,0.9355244212158351,0.8454642730150765,0.7745352763912493,0.7368734075007941,0.8773154949745445,0.856871436690701,0.9174522935699082,1.4303880514901879,0.8081218765779217,0.8916243190891985,0.8487376990621442,0.8110155349125894,0.7643505917807651,0.9800141486618829,2.1263966977633912,2.092464837768217,2.733735247064865,4.2473677544085255],[0.8559111779755207,0.8244645290287236,1.0435318708184067,0.8858441997266516,0.8889678036641432,0.9552530422431469,0.9276877659325632,1.0086115647209624,0.9906931379435369,0.9801825865787067,1.0453478067281763,1.1408230541715603,1.0426768388265806,1.0088148911563402,1.0686652673218764,1.0425749975504768,1.0200641565573056,1.0438241335538183,1.0189485287212423,0.9912640754617512,1.0202374987024772,0.9709274847167191,1.0133252936267148,1.0410234288596083,0.9132584417164975,0.9166411126951881,0.898542706378963,0.9427876883238728,1.0226098150745913,1.0294211955288406,1.0727079755785072,1.0847298875228517,1.1461027798333787,1.1127161679945397,1.0734061618352913,1.040385957550178,1.0120585950209693,1.0098045922869276,0.9663498965067807,0.9382303958826134,0.7812973306460298,0.8447892596107633,0.9207922899545414,1.162515221931045,1.10580481187648,1.2473928280487228,1.2381546895679207,1.1105735392431244,1.0022092153764575,0.9727771778803885,0.9290650604701417,1.2832452821250286,1.0383852135464748,1.0141138720555503,1.3596337361522568,1.018259747188721,1.1010593506480033,1.0254597803253136,1.164813452826627,1.6699299139836283,1.0789628784099596,1.079787301186923,1.0833106308107028,1.1853807075982525,1.022902533882405,1.0396769441674372,1.263897635633367,1.1330793879503218,1.1238041311127005,1.1703550869164259,1.3001367317340549,1.6310741992346776,1.3139410001666447,1.3668868183241643,1.1162726429255156,1.3776030718256382,1.0819331097644118,1.078166440211042,1.0710035021148987,1.1067358636579465,1.0395639108671553,0.9800960359604171,1.3883175396101153,1.1129234238133565,0.9616988869031913,0.9678188892661174,0.9736400940280535,1.0385503784774794,1.0714994128659177,1.1314592209709828,1.1082577464121388,1.1668657640167113,1.1638607089251756,1.1517315083051947,1.1213931463714883,1.179625510977992,1.1764083464579578,1.121928814877112,1.1115213930952808,1.275676573225277,1.1104511859435697,1.1583182769983151,1.040447177425641,1.0558005431067772,1.1354065944071197,1.0582861450378567,1.3423211414399714,1.0707861852969958,1.0685765634033662,1.1643160800587555,1.0647514239757825,0.9700313280811004,0.9358301733554703,0.9644507938174092,0.9673650957078062,0.9065199664250293,0.9409719593403191,0.927334727728194,1.060553455552316,0.9846043301120492,1.0017256063896784,0.9909386234600186,0.9188877369678474,0.9169864417303536,0.9521415280799962,0.9098137137960763,0.9205121653186876,0.9744304509235511,0.9944587566799312,1.0000343815851913,0.9921485793806187,1.0781324126506238,0.9916899339699871,1.0948456236486843,0.9904954048244777,1.012417313145409,1.1615387541790043,1.250374336007852,1.1008485247908866,0.8770334542672132,1.017705050281667,1.0406352169024116,0.9743670187314376,0.9107888871024227,0.8293277978514235,0.9964268247545065,0.9397375569774046,1.0657184449252735,0.9480986950340292,0.9334751075827008,1.034648544827164,1.066146727584978,1.4494090503210815,1.6459615585661926,1.2257880374744619,1.169609905118203,1.0825956916187431,1.0735589177794642,1.0226160893265055,1.0360555321195746,0.968225104801079,1.0152814516453268,1.0641706444537382,0.9835517056346519,1.1406578441585904,1.133389861806918,1.2052457427996373,1.450857661503157,1.467510924204671,1.428584037484218,1.2201973649436848,1.0768886674629456,1.0302236166621894,1.002079656526531,0.9934175742301474,1.0309551522138833,1.0009455607722344,1.1346018718023463,1.0047812120163044,0.9896033803915999,1.2193772605089013,1.017696482024555,1.029788682357875,1.0324935064829273,0.9882517605344084,1.014567937886133,0.950675378093683,0.9773775120566481,1.4315182395675072,1.3083211313005902,1.3185044135611168,1.0054034329855779,1.0752607257324918,1.0388214732351626,1.007980661847982,1.0642208949531482,1.1237577064690922,1.0332782717085358,1.0187112844288104,1.056023599947139,1.0334279595808014,1.0580573162541111,1.0152063471305317,1.0262818136979872,1.0679100600627232,1.0304006581662466,1.0039139374818233,1.0894841342434332,1.1480356810663088,1.0424039718551845,1.08505247249252,1.1709653105359101,1.13933180972501,1.0701836090326067,1.2047702044873236,1.1860161883407436,1.3378061428360608,1.278787266836868,1.219291243601115,1.3214773586369797,1.4045085049293182,1.9584625788795071,1.6651441157661364,1.9277723409783836,1.2991552662446801,1.296754336108782,1.2476185399041113,1.2458561457748447,1.2761972852364738,1.1606208139489687,1.250358069458385,1.1711172840519923,1.2166670325403894,1.1688733291554578,1.2472583957513812,1.2261945245542958,1.1455622231998432,1.2013928391760251,1.0694056454887788,1.121812497799653,1.064291737234554,1.1135788901162775,1.1476938641826495,1.402643383241563,1.264603382466994,1.1450314673148503,1.2031163566443426,1.2931570104272656,1.177684246887609,1.1863285476969034,1.320847345872892,1.371422136694864,1.206943676052624,1.3064202895985981,1.3914615088679432,1.3452576486465493,1.2820346117169308,1.3532577437572955,1.2762897383886067,1.2881976776623956,1.2193181306243666,1.2614576728059836,1.2965841270674223,1.1586964318917348,1.1727311118675516,1.21093323801833,1.2012991216040154,1.1207585465999603,1.1570379754966322,1.2476767346457933,1.1431134575276893,1.1323643524357145,1.2117176254299782,1.3530334218609446,1.2558830504279908,1.233887077795435,1.50359133438494,1.3287980425508648,1.77298315127088,1.213340544796231,1.114142779857995,1.0720843583257815,1.2563589925677026,1.1865074887514957,1.2152478948581233,1.1154425813577291,1.0516844880538672,1.0361689734429786,1.01429373532414,0.9525515024535911,0.9526969138298246,1.0116578149244597,1.0772095887129132,1.3922299422105633,1.0310557676657242,1.033321474669888,0.9787428946315166,1.0274922485538445,0.8697381439157439,1.1358596763795936,2.0158470980463865,2.1924586925059777,2.9033029074374985,4.453052447384456],[0.6658880710340297,0.6495018111531466,0.9675903045952056,0.5316705724109376,0.6466206380478954,0.6170332453845699,0.5287270951221932,0.6328084789554763,0.5189359455244257,0.4610198540744461,0.5138470577527825,0.6480824905594943,0.5055918899787749,0.47465107584570665,0.5580993793532509,0.5336776051306,0.5038263952884737,0.516164999709228,0.5080408615904649,0.49236450777098467,0.5129533731614664,0.5458187749776438,0.6466122122124832,0.7365911843457524,0.6329146230148545,0.56196700165326,0.5110903595121475,0.48168148373149633,0.523611791319803,0.5737224312780791,0.5753513029871712,0.6173010623180655,0.7034203241933574,0.6473812790806103,0.5909853697575717,0.5704144637668696,0.5918005324085873,0.5592127209221236,0.5215433662921779,0.5729094192321945,0.8386784891851666,0.6028439443276116,0.550234583964643,0.6585661025544542,0.9212162283284526,1.2972938668907668,1.2969401627665644,0.7065844450480983,0.7137732578286894,0.8961740481710743,0.7059587712252604,0.8613974756447768,0.6734974582939571,0.6657578219067941,1.3815159219920838,0.676265979344966,0.6494840426830312,0.6923645235192935,0.8159971322114541,1.2108264690157815,0.6199422448712302,0.6535691724513459,0.631104838468319,0.7267660148067209,0.5562505366222386,0.5615216752301366,0.7321913961398587,0.6057983527870294,0.6808987619532856,0.661333031266506,0.9314300794838213,1.3051033902630402,0.840601337922687,0.9744317998796119,0.6244448474010884,1.142316163330413,0.5780554080681536,0.6160154332768432,0.5835472290532334,0.6726474966601008,0.6281736652552716,0.6222363872991289,1.0901472657234368,0.7074553578340856,0.6898907698411266,0.6060368878228396,0.5654103756361301,0.6567053197432364,0.5824286633000786,0.6696972955209293,0.600798744697837,0.7431775129805418,0.6669564276665584,0.6378265481077384,0.6171670984698843,0.7059750537903642,0.7222169579701126,0.6616906224448214,0.6701709533950447,0.9078875636298748,0.7041184963526107,0.810857603693862,0.6757894572508086,0.7539035454364937,0.8725407677910924,0.795371934317585,1.163480651155034,0.8792959900610116,0.8789717812580755,0.9657270291970511,0.798199823970341,0.6533880170050592,0.5653261768965473,0.5546650117961849,0.48697212570962584,0.5220772781615607,0.526635243836392,0.5164344753492278,0.5593534692163025,0.49320489952024177,0.4587299112522077,0.4612118499488448,0.47038419533497544,0.4449497244373584,0.4888496786977377,0.5932401769923692,0.6551814597337066,0.6622961762757591,0.8083594837078113,0.7988827479851627,0.8443471742580969,0.9998133977128646,0.8305616943626475,0.8649643372780413,0.755552912728543,0.7061010007162762,0.8522745466252568,0.8389248721284442,0.6561971393540049,0.6063214758847234,0.7871458324944138,0.8001276097115283,0.5612567825853225,0.5149914684082929,0.537625997194826,0.5484457362916527,0.5022056762594755,0.5533285089306779,0.5562243271231975,0.5459901712508762,0.7056848843987206,0.7145524200693668,1.1880060885250854,1.5107676235569687,1.0097981139247059,0.8113588118078877,0.6599386442472124,0.7042985618756444,0.6128326239908708,0.6884371274983536,0.6078164114852812,0.5729233698042864,0.5867922669409975,0.5710899083592413,0.7742783904622783,0.8411983125513335,0.9791313856422043,1.357783835572998,1.371305394043083,1.2696771058513745,0.9905953841452625,0.7496264556635831,0.7347845648234345,0.6675964772025976,0.633796353474392,0.6797520409285472,0.6163104556609836,0.8235181110371238,0.6202436057991129,0.672866580869839,0.9369886015421551,0.7139104252145034,0.7668586952416863,0.8152929833188495,0.7517232260556809,0.7859270137853451,0.7635015295905097,0.9200456003586158,1.480224021504469,1.1254042857556372,1.1409355341761624,0.845556385954773,0.911814889145892,0.8937429419952732,0.8698621804258098,0.9800757673345876,0.9787804724727419,0.9123965760939462,0.9486810915974023,1.0196535033209706,1.008557722128156,1.0418627705648826,0.9653949226331353,1.0017490456424258,1.0794409999223313,1.0166982072364055,1.000292101890669,1.1133446011096966,1.1845971301115947,1.0348025542971826,1.1212623569361562,1.2527534941225058,1.1854126641981384,1.1168460978208656,1.294634583128152,1.2473169167489853,1.4257709005479502,1.341698541341406,1.2831057401340538,1.393231466984315,1.4752552595995827,1.8595253247340184,1.7649613775393163,1.9391991778260984,1.357570240247875,1.3502218817727265,1.2908609240682343,1.2719002776113164,1.3208239621426918,1.1803082737877566,1.2338324159416063,1.2069681433362824,1.2603905411404068,1.1824599837901315,1.227971256627292,1.3190450942241863,1.1870772160208896,1.1548474979135732,1.0667850523260294,1.067220472239057,1.027224765626717,1.1131678285712556,1.1303666735518525,1.4440770621981414,1.2136794180901627,1.0935576393155684,1.2283976621650603,1.316571340880604,1.1432511427141059,1.209094720255578,1.3608308820658326,1.4156126702142802,1.243474528283152,1.37658293571013,1.4614851057421878,1.433417803822503,1.3646823693267798,1.4583097433584695,1.369638493120808,1.3727526833832937,1.269610560090686,1.3224155397450006,1.3838558031900674,1.2239991013831257,1.2180033278723912,1.2785229772035758,1.259315102072444,1.1424108048689932,1.2065969624233053,1.351307088738727,1.1947844074931697,1.1751102681686028,1.273552809276759,1.4444271580221049,1.3397749770989924,1.297981670568644,1.5822490227089618,1.4140272755661438,1.8251431247025685,1.2430272333229857,1.1256777505894708,1.0690313571311907,1.2855532285961568,1.2282667557886733,1.28607082344146,1.157166828603514,1.091147095457918,0.9743692026491403,0.8983756384572421,0.797590464198931,0.9267437102785122,0.9206428266881873,1.007347652265052,1.3111679602861839,0.8635715930457623,0.9472947307298081,0.8543022185538739,0.8117634630751209,0.7366224698363413,1.0005204752544279,2.2693212290496394,2.5365450012054973,3.4310033835732696,5.297986221682585],[0.8245379145727902,0.7795455797300325,1.0821263257706737,0.6045513989908161,0.7541049442613429,0.73941692359474,0.6675873179381416,0.731526416816892,0.5830751469938811,0.5383545711797803,0.5408460087200396,0.6819296509894326,0.5651915006334262,0.5305758329141106,0.5794520255455702,0.5663746098237024,0.5834233828206693,0.5701744193202088,0.5443979178114097,0.5860151215348566,0.5819884010706097,0.6550663769248467,0.6756343601090632,0.7603989050255828,0.7344385184880345,0.6431988543385153,0.647144912013915,0.5866166275133735,0.617175920054174,0.6462023629834026,0.6020660826126238,0.6878343460714611,0.7404777227608211,0.6903380242129628,0.6553120137519799,0.629787313381879,0.6974336837825764,0.6454521405032412,0.6387934723315863,0.7172209988591738,1.0031602228095287,0.764129310806877,0.6933112975659663,0.7092676977289747,0.9947367040827385,1.3841691009126158,1.41436716955408,0.7840857680868679,0.7756595402185875,1.013668007263106,0.8257856559655609,0.9060651254703581,0.8020034553651013,0.7960590963827857,1.4873756723432268,0.8181943500621512,0.7638454873273843,0.7886327076724367,0.870522580178162,1.1817603075748688,0.7061249903142972,0.6984652136844777,0.6410953808171851,0.7400268453360306,0.6474353939080282,0.6443193511652088,0.7093617134627082,0.6046984951442567,0.696515503781302,0.6634560484699362,0.9254213408923337,1.2312537482298835,0.8100092906482037,0.9020431079956575,0.6997816054561792,1.1567580144862568,0.5935406998231311,0.6483412331566749,0.6385396969670989,0.6966613748343433,0.7451785658404626,0.7714320963841129,1.1181852467318787,0.8185887752843779,0.8384694949690595,0.7362517291559821,0.6880496860063389,0.7913716482330933,0.6194568609706458,0.6978594953970167,0.6187303999845192,0.7722308131445181,0.6801375610406114,0.6382412677862893,0.620121211468972,0.6832421275557466,0.6965604135728637,0.6977127266539083,0.7288768477790595,0.9471200402105189,0.7686106173565768,0.8947708294024432,0.7764170087325141,0.8844226106641275,1.010413044059253,0.9364203794181221,1.2409954423442966,1.0161291911499835,1.0145518145312828,1.1018938662576694,0.9209242089259314,0.7839585122438997,0.7074504037860037,0.6636495626457319,0.5874846642926064,0.5931244619378547,0.596073811346392,0.5829588154415035,0.5797370322023672,0.5133464571192967,0.4916856644333931,0.49316134744702045,0.5227687796833915,0.5178169649941461,0.5811377040637422,0.7297273080124386,0.786130870726032,0.776874797347917,0.9445537631905753,0.939203312356871,0.9957538525665317,1.1679487255360017,0.9921050137730832,0.9889557680385526,0.8840457816655508,0.8075348688402517,0.9521328411351806,0.9180848863641166,0.7229287987051862,0.7196958286485359,0.8176509565527701,0.8564659393122214,0.6296050594683534,0.6433796969303397,0.7112489793189682,0.6535143176632416,0.6216292628424335,0.6635872300110623,0.7019118511222863,0.6809697825291238,0.8251040243841633,0.7986055739150781,1.1882457860922646,1.504448742657083,1.0715840595516086,0.8691824183734819,0.7456581743790694,0.8174124008400794,0.7283470072534541,0.823609560513291,0.7504438301375305,0.6915274550030414,0.6692353020733087,0.6934509294730687,0.8647617333799761,0.9259388117750253,1.0574186974085453,1.405026513955798,1.4335283719642018,1.2986465398173737,1.059030457608148,0.8332086503424992,0.8529610078228184,0.7980568121771336,0.771192296860641,0.8342819552971934,0.7510804801775786,0.9094259078445905,0.7704284048982851,0.8498624444426014,1.044739027407852,0.8631821938933922,0.9111858443964352,0.9663157753873484,0.9074798636244373,0.9344653511103114,0.913634825435324,1.0741162411692884,1.5990258519639642,1.2472833908693144,1.2387056117774917,0.9771122758214235,1.0370119140995415,1.0175340915708746,1.0130009625619463,1.137606713535108,1.1251692943594085,1.0577807974101048,1.101320806677423,1.1819064871201865,1.1528011942484329,1.196369993455206,1.1226575091049835,1.1543310604682433,1.2238982263822724,1.1628558303239211,1.1359595850149025,1.2322621474659694,1.2981193094054329,1.155086733955963,1.2313871062990664,1.3506156669575475,1.298428968020805,1.2492189347647948,1.366356009213556,1.3138990348921324,1.5141831861631545,1.4146067937981528,1.3788365402408098,1.469615017227396,1.5372217155311847,1.7988730624733795,1.827665206336981,1.9621326318398562,1.4536092069194044,1.45612687756521,1.3911328933581348,1.4046139165355023,1.4436299966560915,1.3153765880289414,1.3858003985212932,1.3396780418852765,1.3689881585651649,1.3286721465910265,1.3665043534364807,1.4389977409898722,1.3174147507673095,1.2815232470187312,1.2088170115916839,1.2053985805919354,1.168113339827049,1.2504513532357946,1.2711990738311703,1.510844609448147,1.305561548108144,1.2241573790992766,1.3358160442818563,1.4172855458856985,1.2440190059693284,1.3247588993828059,1.4567576345769708,1.504557722267467,1.3638447575967554,1.4736054921398385,1.5386847236149668,1.5296290337824463,1.4698201244538802,1.5601399615212341,1.4709404463322187,1.475450831480612,1.3879902233882475,1.4254502031850185,1.48516398467543,1.3411835011042645,1.3362757652728565,1.3848400967517158,1.3700712931458892,1.2602170303986964,1.3106693462889523,1.469847260981699,1.3037347732745477,1.3002645657923302,1.3998743977227215,1.5420651965700813,1.4449813105143399,1.400601752858544,1.6693788087058392,1.5131975272694675,1.886373139452141,1.3280180846453735,1.2339861785015023,1.198297625538315,1.4087267029357824,1.3477690786506402,1.3939596396010412,1.2832578093698115,1.2305769188012603,1.0931421397843804,1.0504143728454702,0.9474955604800287,1.093532863804267,1.0918756177681623,1.1527161630735745,1.3601789644106352,0.9991213408678544,1.1001759152313912,1.0236762496402987,0.9238280052526506,0.872303189122908,1.1221229850744328,2.613695763584059,3.178913653585158,4.3582662380460855,6.480678950347893],[0.5404402197447596,0.5564657477367332,0.8810414638040176,0.43819437812846385,0.6040700973246135,0.5207316971271334,0.4644935626640748,0.5536738395281664,0.46306806862747246,0.4126937585223319,0.4544557269789743,0.5982819504284552,0.4669668117063393,0.4238412933698241,0.49459284454451874,0.47841228658305207,0.4561742883822482,0.4549388739478781,0.46230213735064124,0.4505638975295748,0.4796628672920708,0.5104404714390275,0.6233295153328297,0.6966327718119734,0.6165848262200836,0.5258570454820864,0.4767906479565044,0.43163716717043993,0.4636906417188853,0.4960383281281494,0.49821864788350356,0.5353068053169914,0.5983736195529766,0.548775242689813,0.5037805831890584,0.4868730857557602,0.5148645504513651,0.48590010558974345,0.4688641460626272,0.5339871084071944,0.8367827591514176,0.5940788429262932,0.5381149516200371,0.650646064669595,0.9821855116446669,1.3434296494784348,1.3750631613161461,0.723349479051025,0.6723682805669987,0.9017846603035581,0.6642572371108871,0.8378852171212599,0.6417717952361646,0.6095522112372812,1.3246614375361065,0.6538978828839874,0.6469948470698621,0.6755102756251944,0.780633021483236,1.2557351138894914,0.6002887863507582,0.6059143366369656,0.5453655557054121,0.6512132570649459,0.5235167312088485,0.5284797646587708,0.6676459684907896,0.5303373948876086,0.6449362654578654,0.6313435943960345,0.8887771698135416,1.2146336497418695,0.7781972582667394,0.9014238486494031,0.5907930182440218,1.1047292209928015,0.4976568438373386,0.49713084736429486,0.49143780228883227,0.6032690072929905,0.5445206079301522,0.5729364788031805,1.0193309086648326,0.6213406362355668,0.6407763022815799,0.5420902046473541,0.4883528376499663,0.5982673221525203,0.49386773779290605,0.5910786687787851,0.5110061762300415,0.6917326070798314,0.6161254994253066,0.5559647204289961,0.5410635146958124,0.6305837276681915,0.6466580818120324,0.5732416226035308,0.5948858036134468,0.8551884106925999,0.6410676514987959,0.7473915840285019,0.5821800790773459,0.6826561797966714,0.8356970227103712,0.7292333573800145,1.0827001386259563,0.780391349860635,0.7848643358593058,0.9024067087325088,0.7163004297723901,0.5689696110413144,0.4929369820289775,0.4939170203326242,0.438930290104618,0.46486390108404124,0.47571704995361874,0.47848983853485005,0.5337632391369597,0.43800504154224706,0.42925688353114927,0.43517724202154573,0.43992427060037337,0.39745934073904793,0.43957813545763064,0.5624702400365975,0.5872938441237768,0.6269149939136394,0.7625458579986604,0.74904424379514,0.8078499970080262,0.9592084947765482,0.7904309994544584,0.7960006630023292,0.69770805308514,0.6503986072377023,0.783031057190428,0.7699824168976471,0.6006631830154554,0.579559469751867,0.754147092086719,0.7905514108532428,0.5346252865753831,0.48472108391908425,0.5058302578244855,0.5093692985114975,0.4632310502976493,0.5283065736694234,0.48486965623390754,0.4875536558311698,0.628138577650948,0.6404837135024519,1.0773305426073505,1.5012970929954346,0.9967097941571,0.732078145845745,0.5964671646320427,0.6379577174252181,0.5281617099352792,0.6194468584400207,0.5316430061067214,0.5053595880092109,0.5404795502203208,0.5129902716192922,0.7345444284574639,0.8160863193373548,0.9129868803294625,1.314903768212114,1.3228301061485246,1.1872836863398957,0.9082499571035902,0.6833896313764859,0.6775666896472483,0.5875372917877812,0.5594033899547471,0.6070301076417169,0.5471751744382085,0.7577971526623375,0.5633280677779517,0.6360633121115525,0.8783617508404945,0.6484645377209948,0.7010280293688007,0.7561274604637058,0.68721953318592,0.7413757668534773,0.735379136771092,0.9000723841589795,1.474691180703178,1.1416075720974879,1.1457056380796309,0.8253484118898728,0.8895349635901467,0.8604316442332895,0.835087410918345,0.9638101758887857,0.9663819723347763,0.8607067494682559,0.897155373093467,0.9855519277086701,0.9224207365548124,0.9553078886311721,0.9036995901501043,0.9327594867786614,0.9763240695447396,0.9457331156012783,0.9323762359874991,1.0087957492792021,1.0691385932454407,0.9611982368846768,1.0207831038320392,1.1578552111047984,1.135319046693738,1.0882781674825943,1.2251060965095049,1.1489414710157995,1.3428622421950709,1.22089581495785,1.1583664097634243,1.2408152221545201,1.3020226209779189,1.6883043385971002,1.5459275213990598,1.7609790675861057,1.1851594560967862,1.1801324456145825,1.1176832672361792,1.095694654319293,1.2088521666855272,1.0405520463715605,1.1145420835183957,1.069544177118082,1.1243989034560788,1.0767511741614788,1.13816151306918,1.189310088299992,1.1398200726444125,1.1492252181583362,1.0020761805836589,1.0065785419344442,0.8944205759900055,0.9625367932316817,0.9884124957510994,1.2597506030503156,1.0969340052111376,0.9792040130732648,1.0847317775678682,1.1645459943918348,1.0356993458277628,1.0927445136885798,1.2186283039328454,1.2947151676825708,1.1417607006025479,1.2254134978276991,1.3305953333554028,1.3528855412184586,1.2392146566953108,1.307329909748814,1.2262409993400678,1.2169108698370574,1.1237862415723117,1.162406311115105,1.2351260471549128,1.0904074522315246,1.0777991073126751,1.1341150299729519,1.1281537434662288,1.0335024242436623,1.0633167221463533,1.2543630624920377,1.0906396740751436,1.089481694611238,1.1608475762856019,1.364328571312191,1.2500129648067198,1.2040549652895833,1.441843937740842,1.3447263200069524,1.7316501692609283,1.1724994173576229,1.045904297728491,0.9959901958711798,1.230522118179363,1.1833907884589006,1.2645945502649665,1.1321272088024326,1.0565795943565772,0.9267393128520985,0.852537669213491,0.7738781882084617,0.9149769253892035,0.868011654936371,0.9185476779948774,1.293545373630412,0.8023287859333116,0.8736425653098576,0.7561267038165778,0.7445465362607375,0.6312838447501141,0.8746372912308948,2.3670166878272294,2.6134847147156353,3.6580295354822354,5.755315394781497],[0.8755197393904395,0.8878990166817226,1.1285668528516317,0.7352039643350168,0.8937893129107677,0.794830461044977,0.7495739157670501,0.8203661334524252,0.7034368902150695,0.6170689618618054,0.6117060001953804,0.7396344203056,0.6567237486235326,0.5456457335805585,0.6096955338184066,0.6468018142951605,0.5948488279276004,0.5900964235869802,0.562919239017263,0.6350425006859027,0.6033567286516411,0.6936992065490728,0.7405980747008921,0.815120752752391,0.8112192096986356,0.6852455892103086,0.6853874640793285,0.607896606935981,0.6292364874448366,0.7021202310481001,0.6223997994888244,0.7238698970454761,0.7574523173912728,0.6800096920982566,0.6928738129054891,0.6612470756433594,0.7492322601693002,0.6919697371871487,0.6993676378427889,0.8206792452742268,1.0556966585301095,0.8299501760206748,0.7739927635427296,0.7939309255250028,1.1702289015048908,1.5089505561247794,1.5792793663637874,0.8788012062062841,0.8413788533135489,1.10457730514188,0.8762183920600053,0.9895846892132225,0.9117213315416652,0.8690696566207122,1.5139815957552634,0.8890174642522245,0.8287464174458792,0.8707191890043772,0.9353339201463787,1.2765639519321066,0.737272412133222,0.7250923433256488,0.6482425276472004,0.7674550700642369,0.6926122336152105,0.6846630022835201,0.6974271691351138,0.6488484620790002,0.6259241933999586,0.6499404121958985,0.8515532577195056,1.1365293225333744,0.7648411525942943,0.9038126764401313,0.6678414542811432,1.1240807133869815,0.6410851987753071,0.6510302629972287,0.6635772618231675,0.780513224065538,0.7687098913449769,0.8355500130828263,1.1783395116673188,0.9018550004986695,0.9135049740607968,0.8015726068140824,0.7317365055258109,0.8150873498774615,0.6813101342610131,0.7613967942613754,0.6326301406212923,0.7493617188677043,0.6943857879467149,0.6571376988041651,0.6517710643474188,0.6961550914124095,0.695128239557921,0.7125302211675952,0.7816853272332417,1.050493923994908,0.870465812892391,0.9862305664340325,0.8783221164541061,0.9961317094649593,1.1415268305788355,1.0372141405262432,1.3231040620424366,1.094083565229789,1.0985765324002812,1.1385906048392824,1.0064855483449868,0.8639779252619597,0.7845785790385458,0.727306000225097,0.6283362353198608,0.6797983146295119,0.6508071114188737,0.6281632110509738,0.596986909236388,0.576767733166032,0.5255587335838322,0.5468556095391681,0.5798603376876288,0.5688213014395819,0.6313549593628801,0.8072005403038773,0.8749733415688902,0.9126388576751674,1.069354232177281,1.0515623167107195,1.096771474467445,1.2307370155945467,1.0608427379951901,1.0734121416233422,0.9637391701190093,0.9004602246484956,0.9914317512651162,0.879133784512688,0.7432278691988835,0.8103934626750368,0.8783004927856974,0.9137267271814954,0.681916757068558,0.6756668841353057,0.7339646456700984,0.6949729314632648,0.6861412464845618,0.7143004991201466,0.7839276162361462,0.7793373408318662,0.9138341143108866,0.9016748409905946,1.2563196876569618,1.6660028966323308,1.2067622467714474,0.9590688132484703,0.8505524173428587,0.9175489948783488,0.7907539864188952,0.9373377180363794,0.8198361780214152,0.7628996157111086,0.7355243358755349,0.7586171554883167,0.9154797503224057,0.9874942473667523,1.0809775910366362,1.4523300860282256,1.4542607283098452,1.3021837514981953,1.0682003915988578,0.8585814872446424,0.9066627656924475,0.8658527200949582,0.8719859234133222,0.9051047674824788,0.8302238600764476,1.0117342977494803,0.8714964064761149,0.9653704077048834,1.1178038422489776,0.9691824339558753,0.9970828442727718,1.0378892961000161,0.9529797598600672,0.9995450933615484,0.9827644433158296,1.1349009659929492,1.6371599599127957,1.3378545095388152,1.3422895011749998,1.0437766491835654,1.0917035737755512,1.0881872318313108,1.0948746946393049,1.2399135167056576,1.2235671829386465,1.1659971483794458,1.1870814000346663,1.2722429346205684,1.2145602801179127,1.2551120730030094,1.2061322276171484,1.235684467129395,1.2729980774685856,1.2678392026682297,1.2294659572925422,1.295173717833206,1.359360512054563,1.283859236027672,1.308557011929644,1.434783487279634,1.4495209616253226,1.4390129086462335,1.5044941438322488,1.416242689923235,1.587448942708047,1.4191487307370967,1.3845443386929572,1.4536923586694066,1.5043239619600752,1.7976916793998319,1.7192550530121589,1.917318664114763,1.4105734727599855,1.4197957152405363,1.3606915132049286,1.3491142137662364,1.4437279121021966,1.2933991857381932,1.3543509837678784,1.3301160995692825,1.3590972566017132,1.3391480964180897,1.3695400655228454,1.4260262978741187,1.3911268349641717,1.3891029302092837,1.2593639746777185,1.2749864168957308,1.18488792698605,1.2445982808402716,1.2794468511834145,1.4397809002688011,1.3761407474516543,1.276334293689332,1.3701001831690494,1.4376786786020193,1.3220538883930681,1.3762735027257806,1.4494708695223426,1.4936319858157192,1.4116291517743016,1.471765205031902,1.5437243322802792,1.5648037635660401,1.4952846277186838,1.5345467895489628,1.4818677392943864,1.4700278539798672,1.3925567004349086,1.4163569719069575,1.472533368662812,1.3574446955077608,1.341190086683267,1.3669124322473616,1.3683292981445794,1.3043097206569862,1.3131280625655115,1.4686222841125443,1.3245461241530176,1.3455836597538242,1.3801057558009513,1.5456479169242527,1.4379045562674306,1.374575139967097,1.5664649239845245,1.4811426274522184,1.8510827611356944,1.3271914864024048,1.2845023958706479,1.249832310581382,1.3724250206253896,1.3432808936209149,1.4157353736114278,1.3218267529065526,1.3061462189063178,1.1873676046659019,1.1486906059247042,1.0461298584268985,1.2233756086628977,1.1874873677761872,1.2053610162722734,1.4475315340036814,1.1159467733522834,1.1724993123843888,1.0588254744562453,1.0332712711745484,0.9170413525652971,1.1197021937134992,2.6640221558744126,3.063831320302802,4.299992232345163,6.644396194070917],[0.796004990491446,0.8214143497478217,1.0039911500018552,0.7047379960647587,0.8422223049967444,0.7462872466509933,0.6944898922896403,0.7565326841673023,0.6598242128453056,0.5770417016866901,0.5740805648708812,0.6812101731020119,0.6111329920173665,0.5155797570715968,0.5773572128901989,0.6238679166245227,0.5613503015891056,0.5556237687804325,0.5488235512759014,0.6064922621263926,0.5812097186573844,0.6736133893880977,0.7362682068616394,0.8258719806649722,0.8059133037190858,0.66732524343697,0.6732738693055054,0.5759561464203687,0.5815130995497876,0.6489424166108626,0.5866103525020744,0.6890401959759836,0.7357504525684115,0.6517503145906344,0.6575969333559265,0.6087316619960449,0.7008598366925198,0.6488948257539112,0.6390031479354504,0.764407128749612,1.0250771737112483,0.7988745878008738,0.733826459962245,0.7417281283881905,1.1678284271664388,1.4969904190340722,1.5982279531126151,0.8524381467150685,0.7934809282014614,1.073686866495606,0.8441355860467085,0.9584201112259783,0.8697484386504708,0.8343724098797001,1.4632652967627622,0.8298052799705812,0.7863360291713506,0.8156349580153623,0.86970255106884,1.269130858284374,0.7029184347971889,0.674638496992832,0.6203630179306044,0.7232921782566367,0.6574555359807307,0.6477021876099991,0.666612177384884,0.6186591138811554,0.6295589252275275,0.6210149862067775,0.8310934128085173,1.0826779083075722,0.7088733370252545,0.8703804531958602,0.6378655926645067,1.1120609113169455,0.6044965904604175,0.6181198970366717,0.6328777145372051,0.7250693793377921,0.7104015185713763,0.7843030064034916,1.1423288519783992,0.8282800021583013,0.8510272702523759,0.7373724342016601,0.6851886010931622,0.766562468624761,0.6272254539132366,0.7325094137447449,0.5917205667858441,0.7139761932558432,0.6575680199048837,0.6154453838063312,0.6158246807919271,0.6507612338762736,0.672215707382093,0.6649696940377626,0.7262136258501344,1.0014669421325009,0.8127162909901449,0.9361820187583574,0.8116794178555246,0.9286720038500506,1.0765588241872117,0.9589060446003977,1.228573241532203,1.0021086813148683,1.0066346370391879,1.038501835641165,0.9245884566534175,0.799932740439261,0.7238139263285878,0.670384393104053,0.5876844253220638,0.6630957242774412,0.6378421636650177,0.6129635771720989,0.579269885434029,0.5742249951489871,0.5221225091683909,0.5420646805202001,0.5719332428648386,0.5357894417753285,0.5740985347260541,0.7655630269488164,0.8164187826629026,0.8519086368708428,0.9901353913864002,0.9705987846748235,1.013713618924818,1.1192225808507963,0.973276868847526,0.9779815917466734,0.890742991431486,0.8351274843374511,0.9208322124278387,0.8306281203556053,0.6938168352103089,0.7757382510057692,0.8354403905212135,0.8967320770863602,0.6495569738657432,0.6295155067701412,0.6918340428841575,0.636300191088467,0.6341216087820042,0.6505006542984078,0.7184618466135025,0.7353154676591875,0.8576114020234278,0.8508337412557454,1.2008927128020568,1.6344197876071487,1.1849878192241006,0.9032032788897215,0.7975370948760278,0.8621861573324995,0.738858779899362,0.8619479227130551,0.7505518546874311,0.7070502662242201,0.6770709368224961,0.7000709050879699,0.8650447507073274,0.9620255351326283,1.0490868043498485,1.4483582930437822,1.4392154396646726,1.2660475322938884,1.0168083726802235,0.8039152531487848,0.8397318918282143,0.7990738979042702,0.8024587412743516,0.8349255629890696,0.7631424422764753,0.9432217896110185,0.802405701316944,0.8919901082277086,1.0657805624432517,0.8927890960534042,0.9237897899256109,0.965194365918066,0.8877058349832976,0.9442542966006069,0.9336322075375131,1.074913360245502,1.5959584306566081,1.3184903419904128,1.3374953099577023,0.9954814633432719,1.0485551997520675,1.027509095460974,1.0244044272470412,1.170853983728395,1.1420369872725493,1.0734395553842466,1.0793256214516906,1.1677320051755884,1.1064139766034637,1.1361780862275805,1.1019801382114842,1.1238079485201555,1.1581627819189315,1.1595253591551329,1.1172961482169197,1.180861317325342,1.2476009475269663,1.195306591485834,1.2026854682686892,1.3249751395621612,1.3628415063176822,1.3667840369976054,1.4469439558264965,1.3419858576071515,1.4680011303593299,1.3074987507757734,1.2632518292903123,1.3407193154349486,1.3859691500614633,1.71602890764792,1.597042891664464,1.8256480771593706,1.2904176260892173,1.2901704525681055,1.2546398905262337,1.2309901925157343,1.3363307925971797,1.189050269620044,1.2621807381779147,1.2247110836153376,1.2623995710474012,1.2427571288009631,1.2671801040308113,1.310334443596145,1.286054594228607,1.3101334443728356,1.1511406276571585,1.1790818309887434,1.0772133615300838,1.1402537212002242,1.1709456446079083,1.287996949303835,1.2851922030448295,1.1908546299274028,1.25358784612615,1.3086567073877677,1.2308780180966783,1.2580593529875375,1.3251112595283163,1.3752694349933965,1.2932872195776928,1.3403596579707464,1.4152044000096466,1.4483915217616954,1.372440507290047,1.4093439394638996,1.3713477586321614,1.3529782797588321,1.2712182624628408,1.2882584377829223,1.3592159593843822,1.2422719952619232,1.2111849461244764,1.2494117490191587,1.2510518005142128,1.1938794112750413,1.2037213735644903,1.3669852583651496,1.2130417254051569,1.2354379769372967,1.2497774169754086,1.421748801253861,1.325487069650102,1.254092220627779,1.414044525623699,1.3359684138765058,1.698434897891755,1.1958852455247713,1.1666353662048736,1.1374103171002456,1.2328457738799696,1.2222367365816682,1.3053043525236299,1.2177163490686997,1.1935367861517217,1.1117729198251358,1.0583499015376323,0.9631490187864654,1.1353103308727344,1.0951163429945712,1.1090680685018823,1.341376192864884,1.0357565818201842,1.063518998864767,0.9632470538490937,0.9785210168453735,0.8246531759585279,1.039680838952519,2.5022940605950565,2.800882648556981,4.04708803354284,6.3843714062475065],[0.6436610245513258,0.6618554341321848,0.8387985024029303,0.5717229661695415,0.7678678472533911,0.6098362341350795,0.554292280926012,0.6118997926857845,0.5126611578627497,0.41741753090105777,0.4272429233760713,0.5479427453005601,0.44711886516111227,0.3793321544313234,0.45004727438555875,0.4567835399108827,0.4381583184196766,0.43696388195283303,0.4427053822960902,0.49831556663892634,0.5130754202651825,0.6273767130872301,0.737875967706909,0.8115871971654043,0.787990622263837,0.6321904951362085,0.619548149525077,0.47068193348867676,0.47192415847096675,0.510254350956498,0.4653433782129894,0.5422680938506976,0.5808149707821547,0.5216944634197271,0.5030428472630115,0.48514808781509916,0.5608193543256617,0.5455689303205704,0.5253554955236914,0.6713025147821501,0.9672790194986631,0.7363228311899158,0.6559551534551965,0.6595579370450098,1.1141537078663035,1.448621127313675,1.5914259711398224,0.8003361941560572,0.6980299299299126,1.0114357348832872,0.7789412629918604,0.8709469237581544,0.785340735729139,0.7824664915141201,1.4202693865970568,0.7162820337602547,0.6824937701622603,0.740847159685316,0.7782541638639057,1.2299650209948423,0.6344323404970459,0.603389229574236,0.5293357340861717,0.6616359302217036,0.597744123691882,0.5535788584162452,0.595855855514513,0.495070287225542,0.5746806097105657,0.5551948900851432,0.7847431820293984,1.0225698638830725,0.6462649193794343,0.8205641629635787,0.5593036069411903,1.0786328471304205,0.4825829622882482,0.4877894592407896,0.49766396402572743,0.5807376469539633,0.5880276810650246,0.6725198855108608,1.041147356909467,0.7193607421649255,0.7742305628830267,0.6303560450067084,0.5779824286507442,0.6441660342733248,0.48288173898456493,0.5919199737545696,0.4799565334336986,0.6898184168203683,0.5772774036857341,0.4752186440249814,0.48098458233791797,0.5289502279661891,0.5665104923667738,0.5119383788405424,0.5612524435512765,0.8414038107346992,0.6457817928747355,0.7912351699276335,0.6505882748653281,0.776136995353174,0.9681680486932891,0.8297495784412368,1.102163492295337,0.8997349655056259,0.8996195733888289,0.9099719109112683,0.7854254691937046,0.6722370145430665,0.5676127254200898,0.5512135313846179,0.4378354203601753,0.5376022981518793,0.5239751590626776,0.5179850354688056,0.518818436413759,0.46864403782375297,0.4393833073796209,0.4425652684360399,0.46588559226603493,0.396391520995774,0.42653153083633194,0.6257250595757476,0.6696729884801976,0.7428714726905781,0.8698292855452516,0.8548728616023902,0.9259556335501504,1.0149532374290409,0.8910840999706169,0.8527153325810323,0.802243842612468,0.7377395458827725,0.837902317637435,0.7747001702582081,0.6082223368760624,0.6666858506941846,0.7732154130734035,0.8810697019752459,0.5568872400810727,0.5214007039429235,0.6035796357885177,0.5353621640804066,0.5161332792270591,0.5367096657096629,0.5626428207532619,0.5905573313874825,0.7181083075838136,0.7124921622054261,1.0740102658465192,1.5334079296293337,1.0694527890013616,0.7533402294410484,0.6341729612400994,0.7150436622874193,0.582256079620394,0.6952871851817211,0.6162019263995688,0.5852982990231126,0.5514522756402254,0.5833030435540058,0.8048556604956147,0.8914741938559853,1.0433931819196758,1.4779035117448467,1.4477146764822113,1.2433310025646152,0.975140650073519,0.7434207091543867,0.7728817721712217,0.6793306930935703,0.6667536375894927,0.7104902252008872,0.6197979193597417,0.803837713287038,0.6674547660868356,0.759299186911827,0.9511310762742875,0.7547806511061869,0.8178325838481247,0.878646495224889,0.8232300073477269,0.8976479467638488,0.8973439402375447,1.0377191716247522,1.5810234500679394,1.3319272781331497,1.3679970144519347,0.9592089322344167,1.0249144991760577,0.9824314552092688,0.9815747172671758,1.155873073885447,1.0885316493658959,1.0258070797417171,1.0405800368050895,1.1009813764623366,1.049478811031802,1.064656166915543,1.0247179650890963,1.0734878392242173,1.105491413515189,1.0784979234105045,1.0583739470773394,1.1378069512410112,1.187850565176131,1.1277051194565282,1.1634924844364292,1.3040711939160563,1.3174069834874411,1.349112972880829,1.4810101642596551,1.3548468500718,1.5112274114434847,1.3183654096501416,1.2707846459908234,1.3485329586263168,1.3841308038609816,1.749547785221676,1.6161601542147017,1.7882887740566606,1.2803955934261728,1.276007439434751,1.2077914212528795,1.219195561845534,1.3514115219881477,1.1787143125983026,1.2577642455002673,1.2341061315593245,1.2686698570656154,1.2544622366487308,1.2792412977230672,1.3431729048199208,1.3061869416164023,1.3293030488629343,1.140688231158882,1.122800026743643,1.0183282305345147,1.0802145590383894,1.0961931037575428,1.2202402270096782,1.2019012925924033,1.1293636341542215,1.189413519574446,1.2149386125140784,1.1410198307431423,1.1760312353355622,1.2512448985185158,1.295789195960421,1.2130057480865812,1.287779675548946,1.3458477738025385,1.3834394910500105,1.3289032098849416,1.3823978807322752,1.3504866437964664,1.3222465066244602,1.2182013267535023,1.2496758339881053,1.3456816588827187,1.2141630814456752,1.1702509385948021,1.2428491959652335,1.243517777522621,1.1774089665166108,1.1917795741760384,1.3698405794822208,1.2065588076405773,1.2356520038754777,1.2703696411879832,1.426175459571654,1.316482607307585,1.2455183232979632,1.403535638842448,1.3360374812032552,1.652158762378092,1.1779331322221602,1.1376862942756698,1.0876128794220956,1.172110279635552,1.1836860983007897,1.290150145074472,1.2057615471144416,1.1695726559798156,1.0698120719663005,0.9944775301100092,0.8894701235324368,1.0269469084269143,0.9718093274172807,1.00934142494689,1.2554284819763533,0.9066724568089913,0.9262685014402308,0.8258216621574356,0.9087756369997333,0.6610184297028976,0.9541636300045683,2.3732412882344427,2.695353719610345,3.9999590575051034,6.347713887483964],[0.8061178518886676,0.8212097651322454,0.9973212556552432,0.6705663941090314,0.9380562397692834,0.7358650485340344,0.6699777646111261,0.7234787812346816,0.5707112508823541,0.46544427699552743,0.45934837748734225,0.5847111075004694,0.49156753453041724,0.4143717212578396,0.46641882907035165,0.47001777494132563,0.4993916733946654,0.4785905538123089,0.48363648714841284,0.5643213781711859,0.5956640938075576,0.7307323159073816,0.8367985343564691,0.9178035146741887,0.8858587207878791,0.7230105826371497,0.7384087729477256,0.5603931210601636,0.5513002794667429,0.6001072620323001,0.5122267876286206,0.6062157924451372,0.6073227302421523,0.5731157354414165,0.5838738016209163,0.5709226965531115,0.6557422247735282,0.6555134481786206,0.6465077413665475,0.8033758697798561,1.064534151591714,0.8621900693666711,0.7805148331728102,0.7663618531427835,1.1979013622256742,1.5103085031813968,1.6858220835367095,0.9060398460483147,0.7935055718524774,1.0907687818576113,0.8867991972713621,0.9304932574167467,0.8972863420076872,0.9120381307628844,1.5031326455580127,0.820450255715562,0.7840742902360195,0.8456370805209544,0.861106286094926,1.2849681349593962,0.7269056153953644,0.6631840692171682,0.5727781850245536,0.6983189036900672,0.6885861259987831,0.6356545942395123,0.6217716746915029,0.5096252049866562,0.6004242969184479,0.5715402195242807,0.7835534157629336,0.9758523070504195,0.6447427474824088,0.7915603635234455,0.6092337567359275,1.0518722858056662,0.5066754086207325,0.5219908003690579,0.5490510099038401,0.6588130729207307,0.6943855212844116,0.7994273288984058,1.126786554225089,0.8743304993410024,0.9037549274380877,0.7642443090616335,0.6983046646918099,0.741343654712797,0.5615247545030803,0.6537857719782183,0.5115443889026705,0.7295536492556618,0.6059755875522863,0.48587622854444557,0.4921843853516821,0.5076588817905273,0.5701831972410499,0.5495626543706951,0.6058034912690832,0.8395113121250068,0.7298882849489845,0.9001086107142227,0.7758025913901251,0.9249490429188356,1.1451641001097008,1.0033614573165799,1.2772994811670606,1.1245230625895253,1.1211448772170436,1.0863519304033253,0.9669770138661652,0.8304354083489621,0.6911637411640063,0.6621836711481263,0.5147377394718476,0.5650682419016753,0.5773691911456914,0.5810544126017102,0.5632027499736724,0.4895846847911775,0.4820339573464314,0.4700807980300099,0.5120488813432535,0.46432784557447415,0.5074209330628136,0.7161165383681133,0.7957321409281674,0.9004989339285766,1.0347113934866083,1.0299584421876504,1.109689410046968,1.1997395098951587,1.0758490811275885,1.035386876841159,0.9629612185488206,0.8790250375461987,0.970346420551463,0.8760394247610074,0.7053193763648921,0.7519300831105005,0.8357604307798508,0.986868807814978,0.6524701802636823,0.6208110352278116,0.7146897782219918,0.6449775742713987,0.6168507863197787,0.65346591182677,0.6910137308994322,0.6961396812461709,0.8492794767404281,0.8055443908168907,1.1270300747093198,1.554957595493343,1.0815422641422388,0.821581023206005,0.715238314182172,0.8400202925973671,0.700888623372038,0.830489413323337,0.7660712657347487,0.7053989075887318,0.6570247285041966,0.7101727539488655,0.9408386520739068,0.9740137371426716,1.185962561293113,1.5991875604107002,1.5596976778911136,1.3398442089690876,1.093307041491874,0.8688654174545406,0.9190470798504036,0.8151625353102036,0.8036564732152928,0.8641991915012012,0.7538679512018055,0.9180054108767536,0.8046736356939098,0.910449692493204,1.0441406530539723,0.9086793138695319,0.9894426487960344,1.0434023325749133,0.9878707316889442,1.0525773622860208,1.0340897749924014,1.1605370854562183,1.6503024805676318,1.4469236035283817,1.495858855191806,1.0976731137037943,1.1771060567376348,1.1449663517821533,1.1704176198266811,1.3532250458095858,1.2558365425562297,1.2702974529134845,1.3093502424732726,1.3426700600204557,1.346305305668336,1.3505701926129414,1.2873831402568996,1.3721523119527126,1.415170487803922,1.3548932904371587,1.345452241782653,1.446930431992312,1.4694454986762127,1.3960655003308626,1.4694398805782831,1.5929888137579222,1.5486170545354454,1.6299574856977095,1.764533649751105,1.6640178767924632,1.8051635878484098,1.6145026021942768,1.589126890511077,1.644673132559199,1.6642765706106022,2.0099934989654806,1.901574640773338,2.012645520258526,1.5975576780175078,1.600712083434655,1.5048510886499415,1.542948452060252,1.6735126744956468,1.4989204602231547,1.5628221462747456,1.5317150949998564,1.5528619090470122,1.5558661122486832,1.5735217718723473,1.6167257886757356,1.5829922774001068,1.5869647779953668,1.4334783901529482,1.384495433799586,1.3115101468955352,1.3861593884544794,1.3843460814358926,1.4955414534045364,1.4376785107330396,1.4024120314742412,1.472571371274531,1.4723535688666445,1.402234713818749,1.4468569832971414,1.5042247359385708,1.5239139677331923,1.4669263093127685,1.5466459312065781,1.563832675552222,1.579336861339247,1.5736613714617735,1.6240968273164254,1.6253108760258934,1.5933255996417683,1.5059955631282933,1.5446324027059393,1.631892792973911,1.5196089889800088,1.479645655421432,1.55247628367907,1.5507963575740822,1.493295401231452,1.4926326844853706,1.6477409826487244,1.507447915493451,1.5298117951831383,1.5602305618317507,1.6850401219363265,1.5613314965392138,1.5015210445024658,1.6114934199637414,1.5376130144957594,1.8108102645420459,1.454981009161025,1.4302876499448802,1.3694462735833128,1.41076407740136,1.4044657820095072,1.4896613326248276,1.4219241596412857,1.4279877032956052,1.2952025715787086,1.2354887247033692,1.1075189207512102,1.2297676103607953,1.1918338826926933,1.260877526590002,1.372287698894928,1.0854003447486695,1.1374698406898816,1.0249395683782132,1.0941800100720576,0.8333762836438874,1.1573161608471878,2.4078903472609943,2.86598458544805,4.282000152919513,6.633370473459301],[0.7073818421075102,0.7202362599495853,0.847732785595009,0.6319615215719628,0.8780185795626687,0.7296469980029285,0.6943916165970858,0.7208428628441632,0.6261877864326507,0.5767064300758519,0.5773362916425117,0.6436353942524519,0.5933795131606104,0.5508071463796057,0.5875205974778966,0.5722733210809012,0.6148229843627228,0.6145126808649818,0.6097295452565165,0.7012137144397487,0.7095816863031775,0.8434769869743808,0.9195185837521703,0.9798159766169074,0.9761156472069875,0.8197288393020068,0.8461181194788893,0.6690008664240417,0.6570316825040946,0.6833328896722943,0.6271883742149927,0.6895169774624905,0.6856095085229912,0.6706904803456293,0.6807078336756901,0.6804409213467988,0.7241254892204428,0.7233409301702824,0.7163129865751777,0.8525889624066261,1.1489486317455957,0.958294352348226,0.8513709621831385,0.7919501050719567,1.1917110731072273,1.5054521678893595,1.6664630038073749,0.8844438887028658,0.7933067912756218,1.0970663775694331,0.890650366360471,0.9317826535414062,0.9211751789290904,0.9452881616731242,1.5390380037797509,0.8577807189880109,0.8082376283079504,0.8915551750179033,0.910933175231871,1.2624657179924783,0.74677852790152,0.7163655986909612,0.6740907979864683,0.8225099794659205,0.7954403080413192,0.7347599455973571,0.7476244484696059,0.6424413130841636,0.6956096147468348,0.6564993091876687,0.8845481646760572,1.05777164020026,0.7143318093397184,0.8543421951992286,0.7223556373495156,1.1078792363097607,0.6284568469418982,0.6444137329935279,0.6545913212355434,0.7450049059687257,0.7651984322271081,0.8435295351692074,1.116144173089926,0.8786666323494291,0.9280900065878515,0.8045749906593302,0.7786517908116206,0.7999481378726169,0.6716802157119681,0.747914062654896,0.6319209877568875,0.8359152000377891,0.7024992384684526,0.5970207235806705,0.5982536285123202,0.591628994679172,0.6495170348417921,0.6396392394953679,0.6774113152753851,0.8295647964137389,0.7565636306572335,0.86833309009768,0.7773391653251427,0.8698846010338306,1.0847054190786554,0.9298892743290178,1.1340313549247079,0.9816394942704181,0.9805971465065139,0.9706985450068589,0.8939551821986006,0.7999616968173372,0.7109436067797354,0.7095378482937965,0.6243698377777744,0.6733158346176681,0.7044321323808155,0.6956743176444468,0.6729299538132362,0.6318334535930014,0.623443710032676,0.6074672823828562,0.6378555658848626,0.59744527253514,0.6127388737130164,0.7752763834150317,0.7806735823256481,0.8800930882180646,0.963993675916101,0.9544261987582031,1.0208239581961085,1.0813203376098273,0.9871715414708255,0.9485832587397652,0.9071677536417336,0.8543115132671577,0.9272262192521419,0.8931476485428791,0.7649464535553567,0.8239826375774763,0.8935436263462774,1.01936291009585,0.7303506916328751,0.7048534464282015,0.7981191449775672,0.7220016933080691,0.6935457777899523,0.7065840502890554,0.7175897310490261,0.735033211296452,0.8184142696308618,0.7922862606885157,1.0583159043665051,1.542006281688311,1.0910764814661105,0.8080212815271625,0.7394484202009376,0.813426238771826,0.7272536780173277,0.8082705182923188,0.7736686325654976,0.7497662363810925,0.6833040683573038,0.7305252128094254,0.9379207396831485,0.9560804107470519,1.1599295755387895,1.5640414791160524,1.5229056633008238,1.3331574172426945,1.0652657004488941,0.8678962825925552,0.9107975253502757,0.8079885013923728,0.8053012001867417,0.844313573689163,0.7759617261207882,0.8929453608192025,0.8072151340339455,0.8726174845216801,1.0273398260457205,0.8565694153200738,0.9247083522738605,0.9795147788344302,0.9518141930621994,1.0467679177208502,1.0606385284506412,1.1606543537720726,1.647766359124564,1.4268476073389689,1.4732030165698646,1.0834361143160591,1.1448655088268227,1.0990001533771705,1.0849852414837995,1.2470102256103173,1.1638835503741756,1.1033502053000022,1.1141026467603623,1.2054336618452473,1.108336209864476,1.1291849953760889,1.112668304217222,1.1240229723848996,1.1204585197731236,1.116738823301574,1.1240083765842392,1.1378523981270519,1.1616739902591613,1.1616656903154492,1.175399215624957,1.257352571638049,1.2973967174443906,1.396632662742788,1.4466646167951407,1.386848845985337,1.3625663603513112,1.2159459195593856,1.1936048387935756,1.236213206352079,1.2498104560194765,1.5362498929696011,1.52136270596451,1.7027073419659928,1.2542962197939833,1.2389802750714238,1.1709197910297668,1.1858140800359658,1.3239764508972935,1.1674256198634434,1.26906081296332,1.2325540195414657,1.2564624513336833,1.2797901965134384,1.3323677839607473,1.380511525667418,1.3291449878036503,1.4203119249884908,1.2049184916732445,1.2077392092764685,1.055735688770334,1.0911920875233265,1.1141533929312648,1.264039885932161,1.2348094239329377,1.1977276337379847,1.2045665186690333,1.1898342103979132,1.1835719103263878,1.180111995845108,1.2187616911229913,1.2811052201483943,1.194257474855426,1.2155702172957237,1.2511932580754084,1.2948428206552047,1.231623932355397,1.2600777491062927,1.245581246647822,1.2160041369852863,1.1603474704636498,1.1823850405392669,1.2242544302285134,1.166976953279948,1.138122354860082,1.1799751605364632,1.182272545701059,1.165524512374115,1.1300668186776843,1.2908257222040187,1.148706520299966,1.2116632050994138,1.2098163094805183,1.3612866831667185,1.2488606043653288,1.1821755934482796,1.321556858290914,1.245437351045933,1.5066433925424005,1.1402090431112544,1.136913866140031,1.1835333072454102,1.1682116849608717,1.1987040209734803,1.2929807870191057,1.2365020825702617,1.2149653289569435,1.1577673926440528,1.0977019436985038,0.9982631340975179,1.1132709973379544,1.0620772700566732,1.0808862892327984,1.2775135765672876,1.0089081298736635,0.9613207530622222,0.8479440582969752,1.0732368835192345,0.737979434461567,1.0449988933917234,2.144069924617749,2.3940359439263994,3.5993192194635744,5.775115959279818],[0.6684309768133014,0.674707141489038,0.7624183316697729,0.5783783793003293,0.7789031299732305,0.6402011502671332,0.5646574415804191,0.6070406910771933,0.5265652797223649,0.40640098827120597,0.39833927177538575,0.5090550929539449,0.42250055970362227,0.34162627113315774,0.39858302577930277,0.3979965102054343,0.44538982587119,0.4235460848024995,0.45733712963608075,0.5073884676250144,0.5606892535991694,0.7028520281215712,0.8162381579858575,0.8847653296672487,0.8465546483232275,0.6667105427748883,0.6884487905654599,0.48969051651206313,0.4732765363556341,0.48491720661255977,0.42051438030634475,0.4894208131401887,0.4945591705045504,0.46313084598390336,0.46337679612829646,0.47753692874886206,0.5239198328724218,0.5750669725938529,0.5598750011931367,0.7061847337210724,0.9509988274709865,0.8026506894586811,0.7142605389608596,0.7332826110714318,1.1353481207201919,1.4067912932063213,1.6285541518353295,0.8843439107342689,0.7797526746089919,1.0635631275433783,0.8876531258640973,0.9888123779097793,0.8497451481636883,0.8637449125311419,1.3524285579404358,0.7332445989756423,0.7704955318281926,0.7534609103523376,0.7592945160699769,1.3538696304580555,0.725590733594571,0.6579728799583399,0.5308030888650388,0.7059221147011894,0.6842502893169192,0.5923151767693172,0.6009813322688253,0.4597482361415196,0.5572588485753895,0.5397087041997357,0.7388776374001802,0.9539642587468038,0.6157125987712688,0.7750293494013105,0.5585853532760268,1.0456266249329367,0.45756894390518843,0.45172222345517676,0.46705866051018824,0.5637459139179198,0.5804532908144125,0.6706537941920669,1.0028009696726243,0.7607071709767091,0.804512824151852,0.6370068138117042,0.5841813396224119,0.6400338195335872,0.4713299678543495,0.5386281023300993,0.4424905902566609,0.7434445953840833,0.5884741917288118,0.404352016828161,0.4108568428333299,0.44402449717268594,0.5380416932152966,0.4484772037659732,0.4859301192958077,0.6809371236088135,0.575404048473772,0.7408793542537474,0.6015455529085166,0.7235326932525764,0.9661560828351154,0.8015502975526668,1.0012714889608965,0.8728470448527296,0.8551809715873117,0.8686989052541595,0.7541976702011756,0.654141373429533,0.5549392457382888,0.5432402005711858,0.45058373440831484,0.5168896512275751,0.5084970647621174,0.5334974280935377,0.540789734975358,0.44391616175068827,0.459975210596342,0.4389261072506065,0.4734022161227268,0.38908180768673084,0.4213898820609337,0.5815727317778329,0.6618633631008163,0.7643355430158042,0.8326408372757276,0.8356763313611915,0.9253185036747378,0.9551055941692275,0.8832614600123974,0.8175373524949683,0.8184209428687078,0.7465523633192361,0.8481515827085689,0.7933326806801593,0.6292564623664676,0.6542781917060297,0.7759158333847924,0.973042663474495,0.6168905025563679,0.5502742823152276,0.6239768604949784,0.567651029483455,0.5510299898692754,0.5722730706805895,0.542490948749355,0.5819972489082326,0.6801275979569481,0.6811792155468451,0.9809638982043263,1.4703308181438763,0.9900881721061808,0.6724047242932386,0.5717452633809764,0.6645998105352512,0.5569687239026442,0.6559860410121595,0.622091832130704,0.6039059607886419,0.6015349182658067,0.6347226537892385,0.829456345834157,0.9388711644653049,1.1048450299171133,1.5370811334957841,1.4840797058971196,1.229552292425341,0.9931526341048718,0.777151574649967,0.7991450323127083,0.6872591856622153,0.6618113917895527,0.694951915493876,0.6052538870559683,0.7394742319039437,0.6727738673562766,0.7401115765545692,0.9265891046206128,0.7341735195664298,0.8231510161649489,0.9003344386429065,0.8589529982647396,0.9317026718614941,0.9278279836461729,1.0550363620843106,1.5747735404047856,1.412086034606079,1.4965938988869734,1.0341014741082668,1.145807832437618,1.0660575069947171,1.0457156047138292,1.247701595681828,1.1037839864519703,1.0182000369471182,1.0191565630046326,1.0899571276574145,1.0031376244500578,1.0076585843765158,0.9836462957106908,1.0109740603395525,1.0198129944015817,1.00373983295595,1.0169161443295842,1.050181138303585,1.0710521937716893,1.0737792417197725,1.105949545187148,1.1998116071093377,1.232696318539939,1.330879990242283,1.4246825241300514,1.3647275665028167,1.3426747330096966,1.1920125822214054,1.146581765386648,1.2020030641783577,1.2060752493034799,1.5687201342571806,1.4662541974909107,1.6412093707701139,1.214273838487636,1.1872949723259287,1.0978738036960993,1.147448707791979,1.2993605985340537,1.1081296395194256,1.1774941951216573,1.1960167103768953,1.2264276214040166,1.2046352908131324,1.2673787931743712,1.3957384196841924,1.2970884925893869,1.366434164283348,1.113908081872268,1.1107392183476088,0.9628119346233055,0.9940948152095387,1.0061042011630565,1.1638774056819798,1.1467220354647185,1.1155064540153472,1.1318410928066394,1.0881997151187335,1.077188413354378,1.077372819802196,1.123755536980897,1.1941381064870185,1.103192188852815,1.1383857214023136,1.182926673861831,1.237836855806886,1.176160364693275,1.2085771740788762,1.1836345689827086,1.1460610310086148,1.0753036769386988,1.1074997615548572,1.1768362680362456,1.0966083641755033,1.0619753535670144,1.138994581178405,1.1409213482713298,1.097809138230659,1.1002609887065047,1.2712371571782328,1.1115616541359452,1.1740928464778617,1.227930516277838,1.33652205953875,1.2272312860376877,1.1300706494403145,1.3712202453272648,1.209728649317032,1.3916233223808534,1.0948658189347638,1.0833667364366222,1.110874366897858,1.0904890973946848,1.0797088844767562,1.1953670047093636,1.1553001935090288,1.116834956097839,1.0369510559462158,0.9839681806495123,0.8642221585561286,0.9499414909597368,0.9153701717414077,0.955956690428252,1.1693591462212807,0.878776985175696,0.830474614379724,0.7413989189968603,0.996335258049253,0.6508419198443551,1.0246243353370508,2.0065665329365707,2.16883834366085,3.2817520089149754,5.417678201336414],[0.6414786156311014,0.6778306495217296,0.8047288734845333,0.5897708058792347,0.8132453047139192,0.6956001098508156,0.6011127277747786,0.6251650931795334,0.5556501462329813,0.45844564562312534,0.43948899373490724,0.5497578366021814,0.4753132158430743,0.37479892067723697,0.4378914150607674,0.4478120014978311,0.4666842678311052,0.46606434906194283,0.49103198436250284,0.5595176322257034,0.6109153789972276,0.7607586287231205,0.8647395384156086,0.9331762413243998,0.8941547746702455,0.700255934508906,0.7448303739138127,0.5387618484058111,0.5089512856114949,0.5248418909619353,0.4538301823979356,0.531179049433427,0.5165298418535345,0.5054706695945572,0.5106247301767857,0.5178931766214931,0.5598555932991095,0.63466206229061,0.6237236785248688,0.77964226447113,0.9872192549314748,0.8569718726789717,0.7718586524270946,0.7888771031620139,1.196884495220267,1.4473878820782535,1.6787181976575316,0.9431407978715575,0.8332134030166258,1.0999071589710356,0.9324341789033814,1.0489585844604707,0.9169777587166643,0.9207800769937207,1.3604373223134365,0.806388897015788,0.8345221695388542,0.7952702812529062,0.7974708851024106,1.409731283374224,0.7771463991372358,0.6977940037271602,0.5799281598659581,0.7539904172034753,0.7364018293202166,0.6490739071268364,0.6305535787945117,0.5098499476783941,0.5654780372973935,0.5843904424944628,0.7668092187515315,0.9512992249298527,0.6361367521075532,0.7735666309321977,0.6062496454394192,1.0442943777438203,0.5121499091729517,0.5037973680984826,0.5235425337118413,0.6151490180940937,0.6463673942546456,0.734069918568982,1.0104038582043893,0.8195263870010987,0.8637868984965917,0.6897459843601232,0.6365857551233014,0.6711822317494054,0.5280798591656342,0.5695670616745654,0.4870759132175386,0.7932306062789148,0.6246985082423188,0.44726102341765245,0.452547362115114,0.47916265385351126,0.5717211204205499,0.4860191296946423,0.5106484859221417,0.653929963324271,0.598067139607471,0.7531473015250262,0.653547365435534,0.7572926934487727,1.0155618558108601,0.8347211866086527,0.983801973515473,0.9175259498544495,0.8835464979598414,0.9036122284086927,0.7816699428649805,0.704126234189325,0.6134875261007305,0.5997876423041106,0.5062104496494636,0.5678003541843231,0.5584300338904751,0.5758401977252328,0.5948310372000123,0.4842101100058008,0.4868652623922681,0.47380000548582807,0.5053624854587224,0.41824084284269913,0.4638627827401636,0.6105304708136088,0.725052320442037,0.8195658086441321,0.8635443760314556,0.8732467949151647,0.9757797868477969,0.9910472337997187,0.9243973866185782,0.8649191283441541,0.8588280079030163,0.7848585338948023,0.881215579943352,0.8192229199140258,0.6886618215808514,0.691651512656072,0.779504336935823,0.9893035176014563,0.6678379136803002,0.6066262543508365,0.6738245839759567,0.6180628892782863,0.6161393633398438,0.6241642956777312,0.601234812370835,0.6229503814170341,0.7087497631654863,0.6792467629340897,0.9323467464902757,1.423596590328392,0.9831720320427916,0.6663821165307062,0.5964260368486469,0.6872386672930609,0.6019032438753023,0.7110600072237278,0.6867580293470097,0.6604124112344438,0.6566504323618572,0.6901070432524656,0.8642345379518682,0.986344200378637,1.1399638147102626,1.5672420010832533,1.5038841856237282,1.2410739326574851,1.018363785524054,0.8144238130164304,0.8362039343957478,0.7300373838531383,0.7157333664363917,0.737293089167182,0.6589543506884098,0.7722326702057637,0.7254740437997128,0.7908048108558766,0.9525930597094856,0.7864163184722142,0.8769261423471445,0.9463928125883724,0.9023991111869153,0.9792042984617274,0.9825317360913326,1.0914028080238256,1.5927019492513832,1.442920770752294,1.5359440482107516,1.0825154001350275,1.1948169464081608,1.1121578352388688,1.0979285547002815,1.3190104608185016,1.1651436931776007,1.0729561358612563,1.061068984688768,1.1246838937285755,1.0297466697699562,1.0167752305561364,0.9972518340589138,1.0160292783952498,1.0075166457763134,0.9904639777096104,1.0251038197496118,1.0286207849751354,1.032882872030826,1.0542027067622732,1.083783461972427,1.145845137170261,1.1637918753316694,1.2692652779359475,1.3678808028115212,1.363878633376192,1.2518741106114504,1.1482740178481365,1.1032900881246845,1.142633836029492,1.1354323647442333,1.5380046456990861,1.3636483841600184,1.577792072927305,1.2058735981372815,1.1737144118528413,1.0860315528740327,1.1516880097820856,1.2843227517653257,1.1111694661620115,1.1646557713664154,1.2066254073085116,1.2274897876747737,1.2114004410419297,1.3144308531060134,1.4294841495436952,1.3211260973476653,1.4231807223393462,1.1428814373263299,1.167273324509747,1.0092716198063427,1.007906194074812,1.0093523188222648,1.1540407141940867,1.1568401429716586,1.148241844166488,1.1573327330684307,1.0871821473071301,1.0785353560556776,1.0591557333345873,1.0779135235273734,1.1491019502481008,1.0607874586193928,1.0850757620162308,1.1120915347044302,1.1733237709141244,1.1067934563919375,1.1219330390377018,1.1124624178490297,1.0951986234331457,1.043465044976903,1.075289620304496,1.1256882523245662,1.0665602857964447,1.0532067907141618,1.1132309327792593,1.1124537083789268,1.0912148941529105,1.1161363736973706,1.2489001714296184,1.1035418849656324,1.1794019128051114,1.2351014267349105,1.3388570142511051,1.2219020991547085,1.1046500455334247,1.4463350995526352,1.2158263112774264,1.2766754268003153,1.1181119803389075,1.1003266773525002,1.1462619554062659,1.1606598818253857,1.085679073469904,1.1455710663727459,1.1337314874881699,1.1211153444459174,1.0516088088266107,1.0229799910648785,0.8745554366035907,0.9277266077794494,0.9140104455553058,0.947516072186198,1.1372865252420732,0.8843077881402116,0.7979398859577075,0.713161862118721,1.0089789747823965,0.6683882838547324,1.0699047125708867,1.7536245261201657,1.8773971814261632,2.882009240418393,4.821517068930134],[0.6140572848524294,0.6622626476960269,0.7673206090930494,0.6076361738872643,0.7538321087079849,0.6912687482757316,0.576587786971494,0.5812974041877566,0.5598840940991541,0.4377739028752213,0.42331133944424976,0.5197112956632003,0.4340213039373461,0.37564327457756197,0.4526474198591208,0.42616308782683104,0.4433385144371326,0.424117659546033,0.4780059143686029,0.5030554245385906,0.5831441551600571,0.7136533043769014,0.8437352278932599,0.9127794520333361,0.8599675383916393,0.679673616220279,0.6866310334900869,0.47374817325453894,0.44659288626615595,0.42693102864140253,0.43625633625131016,0.446591024360433,0.4625993935357836,0.4319433652983018,0.4271139214223526,0.4493238657235157,0.4627840498936975,0.5433074758950955,0.5271918976447624,0.6613905618966534,0.9096388025677967,0.7844157010863694,0.7030289910758325,0.7333817365232873,1.1598502208374073,1.397403976124936,1.6286226105008048,0.9181131965702992,0.7967714334106322,1.0572194764940355,0.8698468754117156,1.0264720539243521,0.8086140870897149,0.8226638506375925,1.2695535935175908,0.7125179361895931,0.7834494998068535,0.7242704945208994,0.731088032902413,1.4406469098265,0.7594248969786729,0.6874952639626123,0.5663659671832697,0.7240334515610208,0.7058335932016934,0.6009124373587644,0.6239936678593753,0.4722492194243819,0.5648914239852307,0.5914335742719701,0.7305039425166066,0.9348905256990098,0.6269385779570967,0.7941252424164931,0.5547823639976414,1.066371330115341,0.4620412484021663,0.45091864951216776,0.4541488014327475,0.5315771101954896,0.5427917106276946,0.6203457641503874,0.9536960200530239,0.6972146589406664,0.7586013868555467,0.5672662175315194,0.5446743290616936,0.5697828971415682,0.4364954813230627,0.4856689910743812,0.4506894267369694,0.8090716764116466,0.6453962375831416,0.45045258433337604,0.4542167631365375,0.5304049077157813,0.5919370617938241,0.44850520107429637,0.4612354343780074,0.6102140987498635,0.5276110121035213,0.674777310068808,0.5548851786115073,0.6579048378392474,0.8422530574670096,0.7050463243291691,0.8544405206410081,0.7573864927883754,0.7272160465196008,0.8108930079059825,0.6626690237365302,0.5887351616195848,0.5302192384004172,0.5256033974191595,0.45172010651799765,0.5283253485993917,0.4949145389571884,0.5297112416718244,0.5741279242643711,0.4483260182426718,0.4681790608445542,0.4656107937592879,0.49027295963056294,0.3905632331983968,0.43191967149556354,0.539253990021715,0.6428571859023857,0.7167094734188005,0.71899151368772,0.7261828795609836,0.8194144838593487,0.8136016491643585,0.7559746837978489,0.7022063515072521,0.7020464089287545,0.6664437780000094,0.7542454115376042,0.6902229340822699,0.6156098312343095,0.6249923079689356,0.7762932425519601,0.9946510270920174,0.6130324480500381,0.523463722109625,0.5729064492006438,0.5333758813747772,0.5216346304232281,0.5505718819035695,0.5045399144855117,0.5815526966706404,0.6509936560520845,0.6499665795902625,0.9067976644664084,1.413155040961765,0.98687603938288,0.6014688467060945,0.5312381674878912,0.6079072391867942,0.5083929806464581,0.5833458435659215,0.5698303819465822,0.5446099424063754,0.5633019744149081,0.5829980305302993,0.7347258333430455,0.8865435418496245,1.024849232538906,1.4912265151010673,1.391167598172692,1.1373733056064814,0.8950389243218223,0.7179231809328205,0.7246021523962936,0.6048950998961361,0.5817739253454536,0.5980504314066403,0.5555525069229854,0.6561275011056653,0.6078118306090956,0.6219748292394,0.8744498877976602,0.6399357787433165,0.735183078423997,0.8076892489450537,0.7619502890221586,0.8572295708689226,0.8726339928429284,0.9971056736566718,1.5548745499592327,1.3486989108299765,1.4592967189719155,0.9961681256797087,1.0809431466034154,0.9926966629450735,0.9442986987181903,1.1462229343480368,1.052629594105864,0.9253904303239083,0.8870036089200589,0.9957166945600969,0.8498999833470167,0.8489184063861649,0.844330625579735,0.8342360297096384,0.8395076528720533,0.8510115430158337,0.8730136776238616,0.8750859436704082,0.9067443494366613,0.9502902563271388,0.9732438169397329,1.0423708027635707,1.0912361673108766,1.189292148066531,1.2879534118220513,1.2724280092164324,1.1388514121492845,1.030983317083964,0.9626119770942231,1.0120290156780392,0.9896373115427761,1.3902906089212212,1.2175454131026207,1.4893232714519238,1.042135840687354,0.9831777536717076,0.9096626941920302,0.9444976137361178,1.078264679045124,0.9167370028280508,0.9813832948200496,1.0191783117678053,1.0405366385271777,1.018061043131351,1.1653901596121166,1.2691257541197136,1.1474713227359794,1.2894136903650533,0.956566212446363,1.0211018695990552,0.837979877082301,0.8529607243963616,0.8901852493924657,1.01234299652416,1.034149384461411,0.9919853983430276,0.9911687729022908,0.9308167677969004,0.9447207744611318,0.9207891259809442,0.972263410909485,1.0828316621966754,0.9642863564167177,0.9739784207809488,1.036434343059227,1.1244988673371528,1.0100450001405512,1.0132584913183953,0.9908878979657547,0.9515598203024835,0.8981746463750857,0.9169083779571576,0.9645236157397578,0.9100523413447028,0.8843789721019524,0.9442592867714347,0.9491640251703695,0.91110131393084,0.9471338152817695,1.0998157502963768,0.9331200429901583,1.0105191057856304,1.0838564166787745,1.2264228860232076,1.097140676452142,0.9462100366329866,1.3911996171508045,1.148478940980509,1.176354272750779,1.0012856399179768,0.9632755096283326,1.0247247683506115,1.0014517523305313,0.8759439116141337,0.947578153581329,0.9099572168789786,0.9313717355532694,0.8987513430627693,0.8614905894151613,0.7411565422197129,0.8068927883274434,0.7981097824152207,0.8332377799544297,1.135533803246064,0.8009658543359377,0.701375209037441,0.6423424638711067,0.9804097197908445,0.6358507945178203,1.035888894309281,1.5015321762206453,1.4443788236473822,2.151661009681181,3.8120010818131926],[0.5960405928834555,0.6367055493326546,0.7670362041386551,0.5250256189654466,0.6906386694399294,0.6533494066071984,0.5432883129353427,0.5337924896722475,0.5474996722577395,0.4339003787139296,0.4307755349714115,0.5146554234981212,0.42078432454985715,0.3915835846136591,0.46384686996193614,0.4361747920099104,0.46725604796791803,0.45854119498131785,0.5515727091189307,0.5433531498815506,0.649587617396127,0.7667843394784695,0.9260552987299744,0.9940615225318415,0.8856959358164278,0.7104463075427894,0.6978083008543099,0.5012496103820736,0.4684473516756729,0.4421158405270437,0.45653980498563845,0.4454456732413358,0.46339261904454626,0.44461253569008913,0.4461336896726106,0.4667667990486363,0.4686718854069391,0.6022228700303552,0.5711511555385329,0.7140954916806653,0.868669074351391,0.8081384378733788,0.743136998876712,0.8081830877913018,1.1740973761191662,1.3459460474289655,1.6610143949276868,1.003983897733181,0.9405158072768975,1.121688401488614,1.013185821891898,1.1735852572237455,0.9157187913470388,0.8939761914564113,1.208759694412173,0.8176164825003139,0.8801431599646263,0.7483075709781424,0.7816453407021435,1.5832164498792713,0.851990350375234,0.761892020311475,0.6249123399946741,0.7939910826146552,0.7694498911505363,0.6564484986332874,0.7021572315230399,0.5139238577588239,0.6022344645998171,0.6491832646271284,0.756977253555942,0.9867859544353365,0.6790199920327663,0.8447325186299276,0.5745485440409063,1.0833455200624875,0.5005702986016796,0.4876882988962311,0.49743181645061124,0.573210501711282,0.5583433798604328,0.640384282091871,0.927245522189019,0.7567749212464254,0.7910118207822937,0.5884122392232546,0.5623735238596675,0.5694085554270695,0.47702828399950487,0.4992027226336537,0.4893969371484766,0.8507051224682673,0.6804349770970567,0.47369727677796836,0.4702812137680781,0.5601092421103382,0.6196259850857676,0.4432501670588542,0.43165818780125487,0.5584241352541752,0.48046634992546766,0.6404425480812438,0.5267056580973445,0.6182956188375394,0.868230885044229,0.6631136478628912,0.786390829664694,0.7630632889684056,0.693942372005638,0.7454057423908674,0.5881164225344183,0.5444404861883213,0.4981152216641587,0.5028903389128028,0.43633601953035817,0.4974833391421096,0.47029084107645264,0.5517696476957018,0.6638598626099645,0.47554226401321376,0.512398453429619,0.5053823004840287,0.5108203767810858,0.409526364103404,0.4294646544323632,0.47066607364090146,0.6269281205594559,0.6795342472123295,0.6521731310131917,0.681806238306829,0.7905393178307076,0.7941761315790271,0.7685807584159047,0.7021397661152806,0.7087771100110851,0.634862438211055,0.717197042749892,0.6501047438276296,0.6032124504553066,0.5661703600105396,0.7392682535631527,1.025297837883922,0.6724221496658381,0.5521876007912558,0.592557088101899,0.57950039710187,0.5764683217654127,0.5650799663259184,0.4894446646922183,0.5454023535841349,0.5957634278461517,0.6030148208506229,0.8340100683713428,1.3568698504066778,0.9636832947287057,0.5448453569660241,0.4848984998622516,0.5595931282927334,0.48016469069679396,0.5579465763268409,0.5698588329470143,0.5655320687386983,0.6130353323715563,0.6522998168534109,0.7609879464798887,0.9795539207976162,1.0648549983673112,1.5355979095531094,1.4084754397766535,1.0990771615532562,0.8905058080033605,0.7295844812152376,0.7418063380378148,0.6125486597830704,0.5863230866912801,0.5973027140373284,0.5583637702245408,0.6308687657580555,0.619452733195543,0.6282739633996465,0.8387389587851856,0.6390141078216655,0.7469494062253429,0.8395912086563161,0.798928378408762,0.8968575137257606,0.9041629533802994,1.0126183791653998,1.5088048167889059,1.4060013894816816,1.5675251020676317,1.0568522912340637,1.1798966321912507,1.0603408950217292,1.0033717725668998,1.2309785299816822,1.0706719312488173,0.9542539973765864,0.909542603576421,0.9532906172305481,0.8645288327139654,0.8290485564811606,0.8022478430159572,0.8412148869524907,0.8459631934821222,0.8258733749946982,0.8698582098313978,0.8961679231133043,0.9021608609041388,0.942913632758434,0.994476035206522,1.0625938279299574,1.0770614957871287,1.193688710998653,1.328616336814536,1.325587242139286,1.1969892081553333,1.1144998686649235,1.0395594037978952,1.0730295290292198,1.081530193584795,1.5243203673092187,1.3280714837350813,1.4997206279107098,1.125119546470834,1.0746433108532472,0.9666734645943605,1.0541867905619622,1.192443684913207,1.005944719420639,1.0349858091703066,1.129229172180146,1.138069253275736,1.088051704103881,1.2383963685545192,1.421899034069522,1.249647178587078,1.347866979519448,0.9974799526021237,1.041947523172839,0.8792771706931731,0.8732411915421009,0.8869467916186818,1.0063462376198835,1.0289437510482016,1.015525226301419,1.0184808621458104,0.9250582262487511,0.9248273988301311,0.8938812678845259,0.9331047427349234,1.0304773159965286,0.9297402131951862,0.9569512406114522,1.0003010013330533,1.0840882748963239,1.0109711406539976,1.029264332868139,1.0147007424235777,0.9804578554155339,0.9030513958286581,0.95079340434323,1.0285336282311281,0.9504395260723832,0.9310450638182358,1.0308395681272013,1.0318299827678483,0.9743209039367232,1.0589177172231632,1.2257758989407694,1.0351271903538937,1.1116428296145087,1.2454453211460204,1.3497611484546552,1.1930663771217946,1.0510702112090329,1.6004294632853697,1.2560369838886207,1.245826537294204,1.1001727768928822,1.0259186998467968,1.0598171603403523,1.1163516265728195,0.9506840513867915,0.9862522296778654,0.9486439482640859,0.9460311965031893,0.8481895975282171,0.8289788990333082,0.6741491214334852,0.7251760836605544,0.7294997015741086,0.7781961233217732,1.036016523930736,0.7400562286512566,0.6381985255175285,0.5817065748200768,0.9383866258367145,0.58229645821414,1.0411300619563204,1.4998491883931642,1.5197576851144592,2.284518733785568,4.06388975406469],[0.5919389693922222,0.6008024444666459,0.7043590760726102,0.519379556066791,0.6103840204695637,0.6750404144586188,0.5753123759364719,0.5680832673131523,0.6341916251886387,0.5409035085768739,0.5497559769092915,0.6229127875204921,0.5247442679738898,0.5331900888352866,0.6008180613382917,0.5556526222161605,0.5817479353243383,0.5754284357710858,0.6727733405427893,0.6297459083735938,0.7357473088098695,0.8213155134275552,0.9949807017046406,1.0529295414023472,0.9321303781038285,0.7839119398540039,0.7420399930967956,0.5894982842506409,0.563175164009884,0.5216554488499208,0.5883385955281822,0.5278898093741821,0.5825189527034782,0.5572384916192811,0.5467186098134607,0.5685283522662811,0.5383116748033513,0.6423593568495621,0.5985745451067512,0.6836404662737137,0.8620473503998457,0.8371592893492571,0.7811178605003968,0.8502079650156765,1.2127213857443337,1.358022599824258,1.6607487315455252,1.0647048015910678,0.9992187936211626,1.1573388798329958,1.0312494845925873,1.2550260307023813,0.9032543750480149,0.8805669115587401,1.1483180987313695,0.8448814088515113,0.9165426057575233,0.7625475664003021,0.8088588118380627,1.6530694346040093,0.9292679780897919,0.8500696798914579,0.7097924994275062,0.8643770383005991,0.8353685645661547,0.7232442319666224,0.8065196367990406,0.6307421548486822,0.7166854748311245,0.7814083761017727,0.832887445957446,1.0499381220813877,0.7910290058459919,0.9658533927564968,0.6681598698547409,1.1413153167350607,0.6121512880770903,0.610271755522459,0.5990936135524625,0.6386203349673084,0.5860405379970014,0.6266965313619199,0.8923789989512384,0.709804213747103,0.7429914927790257,0.579194307708248,0.6023563320102496,0.6228030340874772,0.5629096351152179,0.5868079419040104,0.6251935905183408,0.9489364093617637,0.8032325547025635,0.6273947902418994,0.615724904443655,0.7268806993975817,0.7450352907959462,0.5789526919014911,0.5388890681014048,0.6317328633267214,0.52632876821939,0.660343616953765,0.5354030069539336,0.5831347591356991,0.7539624473685558,0.5801736429814017,0.6547279681303949,0.622666621700562,0.5652059279150347,0.6868463765118907,0.5196654493342693,0.5051602291926653,0.5061452222392131,0.5190824584746402,0.521499302198812,0.5795723006449339,0.5517521877158283,0.6455561892459719,0.7682522803240315,0.5953528760824384,0.6291470103534049,0.6324697401375733,0.6186920844052705,0.524553942734685,0.5281784896976364,0.48288154364566516,0.5956389164050775,0.590651731758661,0.5251581857466726,0.5581537228391578,0.630735125823904,0.6156097347574426,0.6147153718573054,0.5787644475895044,0.5828158313145683,0.5523034219860913,0.6076417435623195,0.5651270520677553,0.6318985736823403,0.6007000825448386,0.8072543563691774,1.081593554357752,0.7535401279788532,0.6037939024179249,0.6232294090153873,0.6139132150868815,0.596562746846724,0.5975481939453262,0.5100629305264374,0.5888001934642758,0.5981009489530805,0.6617222586186022,0.8590718544426837,1.4110951605941606,1.0278304319722875,0.5912618735475172,0.5366882650298034,0.5621188045262908,0.5133389364215593,0.5351967486996313,0.5512111252698616,0.5618750768148714,0.6255544179964678,0.652060808047738,0.7168507530933212,0.9417182469509476,0.9709393110387732,1.4567111372485264,1.3031534616911784,0.988564149608022,0.7862440175856242,0.6685579863296828,0.6730988148590159,0.5766617904055718,0.5592832892391456,0.547498569637064,0.5612245156169,0.6052161880012905,0.6124550134936275,0.5613681967901432,0.8679359727622018,0.5584740606364589,0.6427039615447632,0.7394800415715501,0.703264885517625,0.8200027457497568,0.8374791432496024,0.9799522936042954,1.5188554518530073,1.3227870920413751,1.4843839462224393,1.009330553527544,1.0952504511017847,0.9625950896635723,0.8595982619685698,1.0573143126937268,0.969416701298325,0.8227187484752102,0.7445957808442825,0.8096059361416437,0.6822848566936164,0.6544901892660719,0.636051261897759,0.658385646653698,0.6799936976226418,0.6926076887644664,0.7275313125689438,0.7507348871333408,0.773362293139822,0.8480855491777026,0.8959994524753515,0.9685029423942031,1.013682038588065,1.1266992160810372,1.2525030194693076,1.2585520022861965,1.083995662041726,1.0089854583209026,0.9019157609785763,0.9423388873823489,0.9103504528029415,1.3647828326438063,1.1611917781395844,1.4150835717517258,0.9537326931213819,0.8719176622391341,0.7924385329723515,0.8454124568094709,0.9776607700296742,0.8065033679294591,0.8504770215204779,0.9617997405513606,0.9599118632428665,0.8976389159854388,1.081498007747444,1.245739980657815,1.0735293512517807,1.2094053273656475,0.8193228552129244,0.8961238499366088,0.7194868071655338,0.7198765224626197,0.7800699394946458,0.866921783212513,0.9155541799568363,0.8656475184564069,0.8458577786957432,0.7813569256901547,0.8118533419606969,0.7649184477422983,0.8358529485212198,0.9733205949378492,0.8373764055968074,0.848566597626688,0.9358179563966942,1.0573180900425334,0.9273742787448401,0.9256097042404369,0.8920339175050431,0.8309400688355001,0.7538956333760913,0.7870727920473827,0.8599889576533996,0.7924156822977014,0.7537322589958456,0.8453458784937661,0.8621625218473208,0.7939429016151476,0.8798476675288048,1.0634312352125583,0.8707537722253177,0.9494010034781802,1.1048488032127575,1.2447672956074838,1.0801720712120972,0.9036298681382995,1.531537409870215,1.189188645287974,1.141709601366465,1.0145620269951203,0.9218709447660028,0.9750582214850456,1.0435535854887443,0.7842347239852063,0.8089059311531867,0.7518809219218335,0.7614286644207328,0.690909507580827,0.6562982465375831,0.5653433196994532,0.6066627977035696,0.6364380828766046,0.6823916821976961,1.076236846616058,0.6999232401139687,0.5505919966019792,0.5283729924437823,0.9543644689839541,0.555928423424362,0.9609925285437719,1.2564582396023327,1.2967412748928897,1.7041165655562802,3.1083067724007214],[0.5294499722246263,0.5418321938391507,0.700776523456397,0.4865943826674139,0.6047933695388102,0.6539269537213627,0.5481803892691549,0.5351150832601982,0.5843420502294873,0.46465760067553485,0.46172630652040536,0.5525986741977802,0.4390387230224093,0.41466650432414337,0.4812899826690366,0.4557182983923884,0.4683861317925546,0.4541021264628068,0.5325107999069602,0.5307893335163603,0.6200491876075752,0.7404228721199888,0.8805219984248724,0.9518309318549875,0.8731964615417551,0.699044079924534,0.6916063720081643,0.4876793402158335,0.4590226027459127,0.4301999774442029,0.4665075267402412,0.4434551010238471,0.47538328206968633,0.4546023158814328,0.44257178272171455,0.46092670788299167,0.4567270959348409,0.5547784294350229,0.5216632709169129,0.6413366717672458,0.8759639461488352,0.7902352750235722,0.7140952703818254,0.7568460852689393,1.1848031447672998,1.392801558520214,1.649651177485884,0.9686980614075321,0.8490856780909012,1.0876563335428295,0.9124425532737521,1.1057211808590623,0.8148022302333068,0.8165526726618169,1.1814279913856076,0.7372745966341842,0.8175647766040615,0.7119269636360401,0.7330915791464642,1.5137962484737533,0.8119320282913656,0.7410534374604327,0.6006065442232262,0.7641428273616628,0.7491633174363068,0.6331205541869813,0.6706630192396618,0.5104175710434495,0.5912447794595694,0.6450415959645867,0.746474322314508,0.9538401845493581,0.6639534422061186,0.8209244287662288,0.5767709869825031,1.0870197914021373,0.5032251678103584,0.49547588143632454,0.4893834881757495,0.5442884044155154,0.5169020562568584,0.5886112275346208,0.8817065727666706,0.6563863241842057,0.721808104246625,0.5282527172336065,0.5296691695836044,0.5568727669137087,0.45538192421474666,0.49861113117170464,0.5023735746796996,0.8553009793561982,0.6865682689413608,0.4870826117739369,0.4888113293013224,0.5857691596276144,0.6477809386611956,0.4779316037650206,0.46112875145911875,0.5856505662172341,0.4700072806795507,0.6216826491402088,0.4996668716123998,0.5594293177227345,0.7363410659305966,0.5656371969342154,0.6529219129735268,0.6134568645592097,0.558903327147176,0.6879479621508692,0.509706536953425,0.48837963642119314,0.4724076601849528,0.47663045647256747,0.44462518807089074,0.5256003994232963,0.4829463341720701,0.554155170963073,0.636059748748844,0.4722767637734772,0.5043600883959211,0.5027967680090092,0.5075303792867184,0.41171826384474247,0.4535258127344552,0.44846887579558975,0.581478141202984,0.5870431513971622,0.5302742697313617,0.564744076569601,0.6407705615430886,0.6235110992086293,0.605223347633734,0.5660873000868946,0.5715994141327023,0.5485362408738107,0.6154446851807116,0.5712007166380214,0.6135492739464113,0.5919960458992155,0.7938524201455428,1.0215525374063685,0.6576329600569218,0.5326968419116056,0.560224004483885,0.5305839738515004,0.5227716324013916,0.5343117262057072,0.460066575447944,0.5438821465871488,0.567391410361836,0.6197506135779346,0.8278045053989845,1.352278342471994,0.9892027007291331,0.5429126003747975,0.48421160808857006,0.5263964903692957,0.463195680585618,0.5052877079847596,0.5117714369189751,0.5089285453106818,0.5581488857826512,0.5825543115234202,0.6773435184355922,0.8892930399965809,0.9494784893416993,1.4332739431807193,1.305097800328219,1.0321129596908265,0.7942338661732725,0.6448016563140528,0.6489769417176995,0.5423772461616434,0.5187072095645779,0.5117778978197597,0.515230388263192,0.5728729897840606,0.5645176914671245,0.5310627418280118,0.8453224067212317,0.5383824894014949,0.628812141774528,0.7193006164431609,0.684344381606604,0.8086548969941468,0.8299372399720664,0.9735706413228237,1.556403040394941,1.3090148206901933,1.4358001825949365,0.976035984664893,1.039802293940954,0.9259658144087798,0.8338316961881491,1.0184239416996892,0.9687613347342701,0.8079489038239207,0.7242611315688406,0.8138430866843094,0.6510276370727862,0.6340288357526741,0.6234877447025083,0.6181463593663408,0.6379001534529951,0.6579060692873908,0.6855864991966926,0.6937031519540471,0.7170143845345982,0.7972947855604432,0.8359629174422314,0.8936040061100002,0.9436495838182626,1.05514839498885,1.1633195045426046,1.1886284575216182,0.9818611596584357,0.921421394303017,0.8125106292238826,0.8475633141413387,0.7991659352618695,1.2550143755971137,1.0416637729227105,1.375396001219652,0.8777504642597757,0.7948787816698186,0.7448894214752322,0.7709986125334067,0.8917997667748578,0.7350787579668575,0.8030438519258816,0.8946565810453054,0.88878459572001,0.8412060509350853,1.0409446613548767,1.1394821533206068,0.9950162600222052,1.1692989553634627,0.7758295660310404,0.8815270598641164,0.6972649031663235,0.703411761709029,0.7808855179206927,0.8446537046969497,0.9050545262814352,0.8455315155232632,0.807978748024861,0.7573982914020074,0.7966176721221858,0.7320455278353779,0.7981294905050607,0.9379699689450556,0.7919611233558065,0.7904179207895675,0.8765454859957141,1.0090434290834747,0.8569024985471893,0.8462242696166227,0.8187624563384358,0.7619322030173639,0.7031643195044384,0.725693218866428,0.771845615450635,0.720955714496342,0.6865293197668676,0.7525185045354382,0.7699751329000951,0.7213090206495021,0.7878552286107381,0.9560239651225133,0.7780730665581392,0.8683839392411984,0.9955928573152516,1.1577673528102825,1.0040156376182046,0.8103062806652027,1.422715955977934,1.146243333188809,1.0377734344027478,0.9562477226184187,0.870164189074202,0.93198693322032,1.027624677138915,0.7065455515441451,0.7244832392750576,0.6919859027554979,0.7052482256453028,0.6726055650187909,0.6524465485370529,0.5668569407318949,0.5843040225312324,0.6205495131915608,0.6585443765108513,1.0641178866002967,0.6804507276756611,0.5202898569949469,0.49967225538248017,0.9321395002313091,0.5268782267477591,0.94461797381041,1.1051514865934435,1.217630501569084,1.5754853470109842,2.761827754956149],[0.5291115659094076,0.5552040309746265,0.7616130995730962,0.4548693409338737,0.6366109776115745,0.6868858620613836,0.6001781213806082,0.5808625853074187,0.6079212377285363,0.49822521415972726,0.48911602433655377,0.5786317299375026,0.48084560561557416,0.4231122932404376,0.4838351744732875,0.47722276458507434,0.5043350066766468,0.4973497174375022,0.5340690875178467,0.5831368687226066,0.6630872444923477,0.7996467376819109,0.9328771121471163,0.9883503771680713,0.9165068802036906,0.7220253431310538,0.7423119319885818,0.5477574973939814,0.5292006332839301,0.5257519074031054,0.49274905639672034,0.5220894729724926,0.525728518965887,0.5190860690825866,0.5281863115464248,0.5310350895678851,0.5568471568960536,0.6802210820188536,0.6355074341703055,0.7743201847977222,0.9280184532774393,0.8569583572447664,0.7891942852695518,0.8388343507899695,1.1975619338371326,1.395798662525899,1.6773429238568327,0.9910139430776812,0.935241002290049,1.1198746537545738,1.013067142388435,1.161773408032204,0.9480704674014833,0.9426499338040191,1.267654819246424,0.86486896475911,0.9143706848100884,0.8047310170483877,0.8333543916857232,1.5569661581530458,0.8639367167164753,0.7768044871526503,0.6408625848116793,0.8110082164480632,0.7939719971282696,0.698552661578056,0.7014716636608348,0.5454453520922067,0.599429633442877,0.6433352233562489,0.7854051196100775,0.9806385321028404,0.6754070710576173,0.8252084184519374,0.6158059852993563,1.0575466976910266,0.5520471022804926,0.5369993592366529,0.5611830213376972,0.6556928913232137,0.6316601220069767,0.7040024767331825,0.9596585327508557,0.8428956423227099,0.8489590838949305,0.6640934591387752,0.6320947921229368,0.6340423518519156,0.5508239354624455,0.5872147840871764,0.5344886272311101,0.8539959127807443,0.6828188789929834,0.4846488403374969,0.48828730611266447,0.5455868875159682,0.6307540452385169,0.5047072829131524,0.5090114925743648,0.6124584372716825,0.559922492062617,0.6848628334776637,0.6012911030504352,0.6626838159729878,0.9199777325222981,0.6782781337905576,0.7510841368227085,0.7469145264044329,0.6454696935900989,0.7105969032174556,0.562683073387192,0.5819672866064297,0.5585773779260383,0.5641855182382369,0.48322537037364865,0.5163895813701204,0.5070086344653122,0.5761154948357583,0.6546714551229822,0.489174298092928,0.5030231964757539,0.5068506216935454,0.5135261570473887,0.46024522663245954,0.48851791642198544,0.5051441102752088,0.6800097636796919,0.7015423642604367,0.6279921112750941,0.6843321283010062,0.7597302288357725,0.7484560919492378,0.7544804755870671,0.7060637887095603,0.7251054255243882,0.6621636260997632,0.7195348240123457,0.6884551552214146,0.6458029069849164,0.6124158793710839,0.7469072589447677,1.0082866716575554,0.6952595103454321,0.6058303660306414,0.6579143420234768,0.6504800163824084,0.6612952528276984,0.6428207797996308,0.5628328384174284,0.6102691485445804,0.6285175902212331,0.6474939546277036,0.8334031233779011,1.289251982544436,0.9768678088514605,0.589545465026955,0.5536323626086435,0.6121304328304,0.5479509291708314,0.6163452704172282,0.6339008014243347,0.6398023505115141,0.6755758788593001,0.7169998468128352,0.8166637517726214,1.017677435534932,1.1066398570341303,1.5630545141942782,1.4373494222195264,1.1332365586733175,0.918046320151205,0.7813049982925628,0.7910324656433797,0.6683831721929384,0.6569398865756069,0.6676979936887124,0.6354881851983883,0.692836887435757,0.6893530436494297,0.6932477255439691,0.8701015887904362,0.6854043677698559,0.7829472474086466,0.8748595920039801,0.8409244084468068,0.9416284648200155,0.9553970306189351,1.042842312343334,1.524062061093953,1.4214163470569372,1.554258184876815,1.0778652987880055,1.1914812837541497,1.0731070444291415,1.0000655896822936,1.1986689012290712,1.0477962808839192,0.9043809578986438,0.8125182272852199,0.8662455916890688,0.7353175623327609,0.6918200004099535,0.6770367583089473,0.6811279442811883,0.6813013696370864,0.6747046589500113,0.7141946077773637,0.7158701403537161,0.717329419568086,0.787788648924004,0.8355257503662452,0.8787633916539489,0.8981069942189328,1.029796692962799,1.1507695361955665,1.193119446822189,0.9789954825186491,0.9396573902527263,0.8487419170382684,0.8686259037020138,0.848086263633407,1.3309617139056997,1.0889281485761189,1.3445263375253569,0.9564598401828776,0.8951330677336832,0.8237517656862734,0.9046484171521791,1.0022118258216306,0.8541701199043905,0.8926821183960315,0.9960365559208028,0.9790196259122287,0.9427425348155899,1.1405956348443433,1.280410827812532,1.0959803869295321,1.271644490579711,0.8721672676549562,0.9735653573343521,0.7898970282226464,0.7574073178997985,0.8061568050519773,0.8805734574403636,0.9533225904431618,0.9348612475090458,0.8884919465885154,0.7932710798688952,0.8303543602798796,0.7407758660331176,0.7684314929808734,0.8705237457550516,0.7593718712234715,0.7761430346842318,0.8137922733450138,0.9425354269564743,0.8284957098943697,0.829999262191199,0.8224901441973445,0.7773266593165699,0.7357011200918208,0.7802286891151515,0.8124853412536002,0.7637794259311893,0.7569201310453648,0.8260997381448189,0.8294321199538344,0.7950311381815062,0.8900975394678824,1.0252721977669152,0.8464918370403007,0.9525825834020029,1.1065617456421666,1.229643314037799,1.0579144676183398,0.8641545514892621,1.5797266737451074,1.218953211291745,1.06322894237017,1.0036312695576546,0.8927747467148621,0.963208319555419,1.1150546965502346,0.7994571822432729,0.7580056742087956,0.7363002755517738,0.7537281316841982,0.7035126250738403,0.7267002112130541,0.6139567349619823,0.5961771089737409,0.6290621699909326,0.6501315837061638,0.9231441381596852,0.6663252595477152,0.5090104992835964,0.482068172791225,0.917899787817906,0.5312011126258716,1.0261165513130237,1.1756903970724664,1.2544038517792369,1.81360709129207,3.3318608729832175],[0.5295328738356706,0.5526146204732743,0.7440518732031157,0.46864152805839987,0.6012021396149027,0.7248344131101045,0.6564473528582722,0.638118817782218,0.6974580451958665,0.6241442628352126,0.6199151460942648,0.6992154963812536,0.604690430721321,0.5815268119215663,0.6435058366322322,0.6272967990865637,0.6526622290500189,0.6366130577926633,0.698378513415433,0.6591104332256476,0.7577002584828376,0.8393843183823289,1.018845597964531,1.058328096128887,0.9225310496484888,0.775163982012518,0.7399555699719669,0.6462411354389058,0.6420894806374442,0.6297484972104261,0.6457841173252,0.6180552137067364,0.6453338023315359,0.6342028605347739,0.6315616635394479,0.6333791838607968,0.6593284684354643,0.7889614880670213,0.7115656809918537,0.7998844673239611,0.862253919243498,0.8561675905988739,0.828926723690279,0.9267947293606005,1.1836979275946953,1.3180895669371993,1.664412371175811,1.0940174957785382,1.15755155044343,1.2493142140076368,1.199246774820745,1.3903923242046097,1.0570513025395685,1.0083393034454051,1.1775692774033548,0.9993735266390726,1.0440494523864552,0.8614619166476766,0.9394121853759593,1.766117417125373,1.021030598098875,0.9123981955471712,0.7657401481097048,0.8940386543761643,0.8722671720849859,0.7700820204282806,0.8278316451097938,0.6597867253203399,0.7146528610186974,0.8139415673739241,0.8741638714407644,1.0848770495200288,0.8299632892217946,0.9503266380859343,0.6945160395251664,1.1149611670230113,0.6586458537914516,0.6552289037399179,0.67508952216905,0.7324250598653597,0.6958570814708905,0.7266960786866695,0.9533060553436028,0.8767109985652807,0.8530068206245597,0.7118854948402048,0.6831446460669779,0.6997383308552788,0.6479383932173252,0.6652815359227726,0.6797081116978726,0.986883221126565,0.841944888707915,0.6487342024763102,0.6502507185226675,0.7376573651729373,0.7863187713447854,0.6412316915639543,0.6140231513224287,0.6774596285175897,0.607917411006408,0.723271173211462,0.6421895357815826,0.6781318229868685,0.9027028346946837,0.6506283529086773,0.6957748950927227,0.7207140121843831,0.6006693258498325,0.6830949663412949,0.5358887355364416,0.5819140408707546,0.6071406144936456,0.6207690152648958,0.5684269842617277,0.5700503993098911,0.5685567531870284,0.6676506866106673,0.8081262759306687,0.6218963689410835,0.6494881270900196,0.6919739889107879,0.6762995132125916,0.6196203078913245,0.6124068163954913,0.538352638721439,0.7053663214709075,0.6668088204295484,0.537490752476243,0.6061024402972589,0.6609487589650449,0.6655892051763911,0.7062083368469354,0.6686661422863115,0.6832950818929803,0.6147910736602932,0.6369729170343142,0.6123475669558216,0.58859302958844,0.567408552088223,0.7618867821530516,1.0827510645412044,0.7959827297909129,0.6851218152811768,0.7154725761875925,0.7544064976698627,0.7646595249383479,0.7272328586738466,0.6251722075944932,0.6874223304416902,0.6562527560897973,0.7091933980476811,0.8630107001903234,1.3046462390907736,1.0160549543527695,0.6252318067118053,0.6042262722013741,0.6417297176888929,0.6037260120925301,0.6320574706165637,0.6711458937865433,0.702564054836586,0.7686932529325142,0.8117729830318275,0.8339916167391443,1.0819549417520737,1.0868492892220072,1.5415144605852593,1.3607385588826668,1.0350305233007404,0.8614366544307626,0.7885948886194896,0.8068348930913962,0.7044899347722707,0.696525148393819,0.690298703755204,0.6852446678984335,0.7208694721378675,0.7527182641182243,0.7023085291761226,0.906252206361214,0.6821952396906134,0.7789458384656875,0.8729849743748151,0.8291834499205922,0.924883330031872,0.9388925772111707,1.0282749218755733,1.4592935124149038,1.429352119980035,1.6274515805533065,1.0979892191275684,1.223451124148101,1.0773531337019897,0.9662632245612957,1.1504896678705003,0.998532579945189,0.8651247669424499,0.7612973200427249,0.7803857756550836,0.6853165249223743,0.6245321742523819,0.5977431345481876,0.6382140113305429,0.6487974940584834,0.6453042714879881,0.6948401283951535,0.704593798893778,0.6990929068309231,0.7828289843414774,0.8368694730285905,0.8822754366448415,0.9073762237815541,1.0475740717534652,1.1688717899863537,1.2006598533758692,0.9969143261939223,0.9663680175838032,0.8632275185859734,0.8811831684369804,0.871513501646767,1.367536023972209,1.1105571898534923,1.3229940982966757,0.9567875105809437,0.8871876825680334,0.8044810166746073,0.9109221968412599,1.0093635666401657,0.847005059836082,0.8725979892770186,1.0164177631893465,0.9830464120230702,0.9257346841418552,1.1365773066045652,1.3106795299539855,1.0959647245790098,1.2418341311621068,0.836333534992971,0.9269678238753416,0.7629124270591802,0.7273296636043177,0.7902820298085567,0.8326872424228958,0.9183431256241752,0.8947376917217194,0.8444945568143183,0.7500308152442549,0.7901994774122868,0.7020607984919339,0.7423562522863832,0.8593542260826987,0.7412157217781303,0.7564909533524466,0.8078636056477438,0.9516023220162818,0.8262443710338518,0.8267571654544547,0.816057052387567,0.7642805512763561,0.7162636173363006,0.7698670812216505,0.8112023529927801,0.7532766662937745,0.7474550335948281,0.8349938908893957,0.8383109494935816,0.7858460394771903,0.9101909594218557,1.0639017511240534,0.8688760694715701,0.9646561956479535,1.174730730095084,1.2931830970262055,1.1025186078568896,0.9011537753564411,1.675599356974425,1.2464775448596652,1.1031962944228026,1.0228622928282238,0.9023881407365287,0.9696603184268133,1.126621267168633,0.8153094436758153,0.7756632037058597,0.6979007550424028,0.7157758100676522,0.6249294497227966,0.6373196352045764,0.5545676279263911,0.5444002470335233,0.5829954541105407,0.6114474430042656,0.9423405563056708,0.6677868639603173,0.48856189793534366,0.478375250826869,0.9596592236718824,0.5340370543182528,0.990943427360827,1.1266764871794595,1.2514440896308479,1.6657965844378044,3.1179071749671636],[0.6036055581431699,0.6155372513144113,0.8651982688171534,0.5714559722356276,0.6502154348757566,0.8606436496774618,0.7867448408576885,0.766913611269558,0.8240394124729622,0.7343681040242184,0.7195983880257443,0.8017250350864524,0.6937487765596734,0.6626556781743739,0.7165945904071502,0.6983866987848429,0.7008466566125016,0.6540844969113662,0.6774316814620451,0.6456001964756513,0.725526244556346,0.8081865203703058,0.9723533630324535,1.0074117072955113,0.8983420296181591,0.7479627729088182,0.7255819250108962,0.6485698410378488,0.6672283308891594,0.6810272697340415,0.6927909933694479,0.6863487392059439,0.7176216411026918,0.6823669260089607,0.6742885460143988,0.6596772881329629,0.6990899615768208,0.783399609753217,0.6932407539173737,0.758981344420481,0.8438111819636905,0.8338217299673072,0.7957848617043118,0.8709462033220682,1.1808184962526567,1.3456219044321251,1.6558553793609372,1.0506481531003264,1.0708793292467904,1.204112218489534,1.1103793353951747,1.3513422807602762,0.9952880459000116,0.9546255388765498,1.1418106476611107,0.9382900657385989,0.9912226594208298,0.8276779403372886,0.8968044882726878,1.7162709983874929,0.9830557867487412,0.8839138844276572,0.7455916727887977,0.8590387458189805,0.8340134480707724,0.7483479446624813,0.7997972060497783,0.6513596928891967,0.6975687240921683,0.8086896231531644,0.8583797778014414,1.059431144099903,0.8122967666584707,0.9208654878287312,0.6976136659921077,1.1150245135386316,0.6498426782755443,0.6572023486860314,0.6716626251922427,0.7213793394192348,0.6935392369782059,0.7036199017438682,0.9726039422241489,0.846807664737107,0.8209781713617696,0.7139713480880414,0.6768142168696797,0.7162954258003842,0.6498136018256436,0.6865422875810717,0.7039492963153792,0.9996664618636072,0.868112876824807,0.7007012525236634,0.7131697638122696,0.7984259470519927,0.8483009003185368,0.7310950316084328,0.7163677217191706,0.7741086820585831,0.6874661885323896,0.8005719110697752,0.7055346755087916,0.7409807786015247,0.8862173624200128,0.6836465321039346,0.6928926045514594,0.6912157991049245,0.6116454342554473,0.7415163386181671,0.594085883487991,0.646409380181262,0.7103206513305086,0.6974152699479937,0.6454964376832509,0.619765565623504,0.5959832637275513,0.663537421546445,0.7745004642293112,0.6254114062924663,0.6558506589892028,0.7304639326172618,0.7129947700899821,0.7036431574782469,0.733207350327386,0.6352100478283421,0.8027665935344239,0.6973550704784083,0.5321932966836785,0.5873158759905993,0.5934708320730382,0.5840817133061574,0.6409571580522666,0.6456891576721316,0.6408477692082898,0.6150658614443378,0.6251280636827461,0.586982630038992,0.6135421258442144,0.5810658348373614,0.7612132502397074,1.0636259610583596,0.7707954621833014,0.6781274690115341,0.7007023547303135,0.7655758299580762,0.7871217645886521,0.78255207809351,0.7031475101156023,0.7909349212391152,0.75180538517492,0.8320927613140264,0.9565634162492463,1.3259669522095316,1.0777133839046076,0.7292450918928522,0.7036872254690415,0.7278103171078554,0.6832411579507627,0.6963670945454326,0.7061462918002499,0.7245037554890951,0.7726943861865175,0.7994369964902117,0.7949599605393842,1.0251108636774564,1.008934575791618,1.4671656182203043,1.2776180762147027,0.971527318902057,0.7981331315833005,0.7565699854894358,0.7804346759857066,0.710006788749019,0.7132984911498383,0.7177055166836058,0.7286896611466409,0.7526070539121363,0.7770461367308037,0.7022753476154183,0.934807295628601,0.6871218509977914,0.7402739535188747,0.8170754948138294,0.7712928210827283,0.8646509551469032,0.8841564424897308,0.9851183271037106,1.485491271596046,1.3538326944975485,1.529632139841645,1.0436929900000405,1.1241154452164703,0.9960721705678915,0.861237051486513,0.9895878670200529,0.9513199121382925,0.8076189159738927,0.6745111034298099,0.695164185378176,0.5923574007658626,0.5461130425175573,0.5233583486503194,0.5560664952813054,0.5806492522265437,0.611993047892839,0.6529385331078292,0.6672866002032587,0.6658397857656146,0.773949942795632,0.8246792226597721,0.8511738057265927,0.8846881875870287,1.0152216724813032,1.1259329083551628,1.1827802818416115,0.9178644535670034,0.9107388364849137,0.7939247033567569,0.808805341819959,0.7507359765783892,1.2368962288266407,0.9867045317169266,1.2900066886841262,0.8629866676337636,0.7509247584369909,0.722598482312172,0.7859072031522389,0.8557332203650749,0.7154709406817176,0.7606903726805143,0.9142868801160923,0.8685803027515531,0.7987902158138607,1.0255963515968458,1.153574144491107,0.9643375686866267,1.1487843756989347,0.7383679889011427,0.8409820653174743,0.6935173528023221,0.6686924410054924,0.7768909232736938,0.7718040961333209,0.8850019566847311,0.8215971753125748,0.7554941665986088,0.693672362916422,0.751651405504342,0.6528973306422419,0.7204748490800866,0.8609094813202348,0.7279301000926417,0.7234115647881012,0.8087227797830164,0.9842175270556742,0.8114421011406684,0.7888113689484684,0.7653940574752293,0.6881473512108776,0.6529105109191335,0.6739727336882114,0.7018835964231626,0.6714319491046566,0.6510170490540935,0.7201161303142682,0.7384514717681788,0.6873574031715731,0.8012779713618973,0.9550910836070037,0.7865204588462835,0.8717561502862938,1.0778759730153842,1.2316118826734164,1.0541777793229594,0.8350786823736168,1.6427148633332467,1.261194040686501,1.0416442531868333,1.0173342369460798,0.8937984254895183,0.9706876133921666,1.1843833043100385,0.7773926258413987,0.7102347396733485,0.6293423332219737,0.6103051578245612,0.566675241047201,0.5480210991161184,0.5656314806054149,0.5367202393146924,0.581072552782328,0.6139852028922639,1.0012398775445783,0.7140931904203582,0.5438972946834435,0.5953458597445028,1.0312076597601716,0.6585922137183299,1.0323357642265647,0.9176628983088421,1.3550932715365445,1.4587888961986126,2.2839518746625136],[0.6064458976411757,0.6360310784358354,0.9428135062765647,0.5558792123386193,0.712020023524013,0.9169987830812786,0.9050192148814807,0.8890690304852243,0.9314644635229619,0.8772444639946798,0.8697349538804777,0.919754896020139,0.8661065923230353,0.8296304867176647,0.8631736780722489,0.862438120828556,0.8918321138675421,0.8876903395875149,0.8681914389745298,0.9272858448143559,0.9651563686672434,1.0726979346922725,1.1426908905579083,1.167643987906593,1.1361747417287962,0.9916238304326885,1.0157670552187454,0.9225283853216196,0.9191530241513899,0.933534044564999,0.8852712167108012,0.9312107377239662,0.9335864808839974,0.9400138495681952,0.9393649563356721,0.9225055899992062,0.9531164465246477,1.0471768020627437,0.99036115142252,1.0504326337582004,1.1428555386245136,1.1051354215368032,1.0434557644402853,1.0936955319431474,1.307085401504764,1.5285862598528832,1.7599419566667875,1.129813778611877,1.1545584865239025,1.2530835666505724,1.1994888841390319,1.3306334864823504,1.1744629091255996,1.180062400865531,1.445529114947452,1.1436573831836352,1.1695376838787774,1.0983829895113646,1.130421369367011,1.7022025319397218,1.1052847353149649,1.0392120698369411,0.9648443793019764,1.055446388284153,1.0571321599539423,1.0063506667244198,1.0210408088096001,0.9001645456283325,0.9139410577655487,0.9355618710950866,1.0855612692861576,1.1996870484051703,0.9667353392179214,1.0571971024358733,0.9670074883906036,1.2261182559105188,0.9170830103986677,0.9257802176098551,0.9549540728843983,1.0048955999375073,0.9889595160859809,0.9988657785551506,1.191093689071172,1.1108858690460617,1.1116429357093645,0.9996279398768214,0.971468111780447,0.9897588594853661,0.9379367664730576,0.952279457870317,0.9138989911492066,1.0979700671443815,0.9555008249264177,0.8638310014022914,0.8557039206905356,0.8610457743637817,0.9352396151107756,0.8970303139668016,0.9058541558028196,0.9323406354906671,0.9271257775369539,0.9703780871215069,0.9413687131595307,0.9341419936799019,1.154569855405306,0.8753323442318774,0.8405421181547569,0.8751196321975646,0.719891964028638,0.8278526194390909,0.7154850371362368,0.8383932222303189,0.8958715797344327,0.9054035107760332,0.816287807216197,0.8093933211999718,0.8529274540293255,0.8914406525758916,0.9365734150637187,0.8530083166745374,0.8418240431533586,0.8567610242618721,0.856131553832474,0.8560438138225952,0.8630514805201852,0.8166281363242195,0.9604248875984772,0.8895092735547103,0.7031851015230551,0.7734068140416663,0.7280378762583983,0.7088581715473691,0.7981684904324605,0.8154918717745044,0.8507206257306553,0.8397775022549081,0.7950790715714827,0.9221827159574982,0.8145143242677921,0.8591109113966426,0.987384310869554,1.1560465946103409,0.9726215060711721,0.9434729831881514,0.9815040032365965,1.0402301807491132,1.068465945952762,1.015835137523742,0.9225370516829623,0.9588234495332686,0.9053345488418395,0.9336314897273431,1.0147447171073545,1.354854256707281,1.2070572689488068,0.903705487691454,0.9033436357067272,0.9121458689859311,0.9032465270498039,0.9055895442740468,0.9578505190087476,0.9956565853687485,1.0152726485658954,1.0293669838329267,1.0287324971065173,1.2192517406876817,1.2560747378216863,1.6546242141514202,1.5143585910700406,1.3027096480959388,1.0686691133737487,1.0395910782782087,1.0422483056316703,0.9281872308749336,0.9519693222655219,0.9687402457395704,0.981243290389095,1.0014026145179045,0.9767771503094209,0.9370247793055027,0.9851609790794993,0.9115882914849787,0.9403999062569925,1.0053121549908532,1.0046715522894363,1.108026544491653,1.1605130278641445,1.1856655610795148,1.583486587602051,1.5491875598577205,1.6378686956641126,1.1945359207375672,1.2715562877552669,1.1363729125479454,1.0063942447207923,1.1023150045682901,0.9641409878238709,0.8104364752514152,0.6842033566356941,0.7215949888252761,0.6083357302114418,0.5793337438663313,0.5667254166635999,0.5696812900988314,0.592241888414464,0.622472497348739,0.6655091083017727,0.6775565968688197,0.6600770793314927,0.7651522858687089,0.8172516080621707,0.8262925512496239,0.8419037045488671,0.9684777861905925,1.0714398422681712,1.1671658084865946,0.9063378460525863,0.9681154568872274,0.8340508905013024,0.8321796769602556,0.8004251379817194,1.2525842356041565,1.0199464273444223,1.27391875859533,0.8820386837279256,0.7688106673814653,0.7399108969630596,0.8002535638093193,0.8679244296319453,0.7353067906483339,0.7654918865371337,0.9148224386036936,0.8713189106248361,0.8028319715744269,1.0248573571407629,1.1454018699336586,0.9702289841516274,1.1549593717072,0.7396603601715341,0.8388785365805093,0.7056312541609562,0.6806384005097663,0.7802201168365227,0.7757930714102002,0.895896873599494,0.8622296897963116,0.7794822802365604,0.7278733342746349,0.8001023497636085,0.6551843449425744,0.7039725574658224,0.8247847113431301,0.7055051312997157,0.7095494081416291,0.7574465167878315,0.9190119855853999,0.7877995742306647,0.7772822170150118,0.770037069977101,0.6982734639001017,0.6778008660400919,0.6956862552107151,0.7178642036032961,0.6896779096472361,0.674748621311886,0.7516570606474473,0.7691093276957508,0.7067448470045774,0.8337141407570677,0.9956157514346218,0.8362817478417289,0.8905010384437381,1.117897142084326,1.2918299768533268,1.1334272466775794,0.9206403884430686,1.7739696099899085,1.4351867251400618,1.1328662518120762,1.1109621313864826,0.9279382344076054,0.99337767173193,1.2871746195598979,0.8738073980930383,0.8061954127263459,0.6625641104790875,0.6187611430047294,0.5625506835883074,0.589800506098952,0.6509244117253721,0.5719804488701592,0.6317803746741343,0.6318074215518623,0.9406625570323867,0.7528925497773027,0.5746637134984786,0.5989907019475227,1.0171896473301032,0.6754199062744269,1.072259680512099,0.9185576155120108,1.2217544462237737,1.4041062788165828,2.4901221238302758],[0.5813767337586443,0.614655174555231,0.893086628906333,0.5148511337496852,0.6560911841545164,0.8240517861578361,0.7622487876697994,0.7404823656901536,0.7797961199992614,0.7007682798562412,0.6916937341724971,0.7537543180960266,0.6803584175400279,0.6325897801742635,0.6910703520790276,0.6939316576143245,0.7138216056056895,0.7023351094319771,0.7210662294797313,0.7446121222615877,0.8166860015115893,0.9215831049439667,1.0597508694942923,1.1023759953879324,0.995830841424391,0.8364360768775898,0.8274987146940701,0.7263156339753859,0.7351183704634996,0.7364422076355446,0.7138567158899031,0.7304645726430995,0.7460449330514478,0.7396098240145412,0.7405712241921484,0.7281626462342188,0.770238080265372,0.8978564376988082,0.8212497598542662,0.9111610065412684,0.9520988990099231,0.9468933960599791,0.9072516392105581,0.9947110102648697,1.2172224084182672,1.3640591041050278,1.7106005570170464,1.1052246115994893,1.1871032641772343,1.2535750400414323,1.2368922094658583,1.3888270407902592,1.126480085871866,1.0939910568538744,1.2721628551674928,1.0850974646211762,1.116392424131564,0.957967343476194,1.027681059786835,1.747864888571298,1.0559142794699872,0.9552466654985815,0.8268156638857049,0.9507265580702179,0.9406222449335616,0.8427356963989934,0.8563390483171316,0.7249137929398188,0.7475691170288693,0.820416446250632,0.9215366711015139,1.100944601661064,0.8477966854629095,0.9549180893202488,0.7699955481388245,1.1194502955513712,0.7332173300537805,0.7354366542815511,0.774773665846936,0.8237428496825249,0.817115659372961,0.8470079457376654,1.0101649423098324,1.016827350547711,0.9563851243202595,0.8255813406503422,0.7911411120668885,0.8152328880171249,0.745535194508647,0.7676459782349752,0.7393510576215213,0.9894652742859331,0.8453842788224,0.6812626409681068,0.6817223030052805,0.7270836096037441,0.7950113034657379,0.7122158531951096,0.7159635430024869,0.7591704760491351,0.727993920922754,0.8225313654881857,0.7760681432414478,0.798433606417252,1.0199763495775198,0.7632268636032002,0.7785990286935326,0.8120485430036742,0.6690714014546384,0.746934120270558,0.6199188363948362,0.7056722541204478,0.7345569030091955,0.7283070055341871,0.6404654961250238,0.625630158448844,0.6284073728399899,0.7113366307291146,0.810991060670411,0.6633080140871616,0.6736877905163742,0.7120564789040389,0.7059704988107511,0.6908859539736434,0.697507997859362,0.6362659393329086,0.8471084737236495,0.7561573475030321,0.608683822574803,0.6899909438237433,0.6904654980517755,0.7027727817456978,0.7647285131610434,0.7515547882660418,0.7690546314678364,0.7024873236540277,0.6856120966279015,0.6938590043029305,0.6403744721369652,0.6382903644650223,0.8073179682643029,1.0791086338985105,0.8290345027218721,0.7677297357099616,0.810565501488708,0.8574064725447348,0.8932828237957924,0.8331744062768701,0.7564126391157853,0.8087853727262803,0.7645685430412483,0.7966207954961956,0.9123638096424626,1.2531418793408828,1.0383865807542096,0.7320941430034893,0.7202832934453944,0.7607055746397454,0.7195755392582946,0.7599375319724071,0.7949837758882925,0.8256439411696362,0.8717872795213142,0.9189704769710488,0.9215418440045873,1.1888248692393604,1.1466437277293693,1.5665679102666321,1.3824742232786371,1.0680384593680081,0.9117013748698768,0.8817965047150623,0.9007421733299257,0.8137169612290426,0.8128988549246041,0.8214377329427279,0.8076948325082103,0.843323596578561,0.8519153328758907,0.8247944978957078,0.9521998137821542,0.7984441036907463,0.8709527749344689,0.9557858616497088,0.9136101140542373,1.01152064220726,1.0432396061112998,1.1039496833347777,1.4768510874526708,1.4799337537228745,1.6464012015827194,1.137584713983296,1.2729154737336803,1.1222186597737163,1.004090724582878,1.16050471991892,1.0053119552581127,0.8696146163843833,0.7365688387165279,0.7342483388093587,0.6631641027360956,0.6052640370980141,0.5787400574776919,0.61832430248666,0.640403799693361,0.6471707289361627,0.6991505824860118,0.7101465396349999,0.6905830574605728,0.7886984138936972,0.8472318285923078,0.8629111014435776,0.87249110162119,1.014714573515242,1.1225184731854445,1.180150941807627,0.9537897808734824,0.9705785323013046,0.8674583964212057,0.8720222824899351,0.8518430757891082,1.3271327527456103,1.0671405707733423,1.2645247830721331,0.9421629796397977,0.8579150219433821,0.8124296987922801,0.9033356733697984,0.9675680040521898,0.8343700387837677,0.849891806136293,1.0087434726387488,0.9499069000792444,0.8861680844516329,1.1166735659835723,1.265117146941925,1.0349840920436977,1.1964007769465583,0.8003055400848547,0.9172970933961342,0.7785362391015741,0.7356749172629719,0.8180037568679007,0.8116258371838582,0.912701518344476,0.8971268744199208,0.8242438445125119,0.7351397154656686,0.7856398242160243,0.6720051930499578,0.7115324760584464,0.813928137207718,0.7141966582863982,0.733422241858731,0.7618101502625276,0.9269387659403006,0.8043082432124958,0.8050290920549701,0.8088449300413406,0.7447378788515573,0.7236301407346777,0.7633503508079793,0.7869195586060402,0.746431230763775,0.7438526118090786,0.8223514478373237,0.8332546987938084,0.7713950623000113,0.9090192848632773,1.0510328088201062,0.877054679218921,0.9466159542370057,1.2023180211953017,1.3266788634374682,1.1229337318042665,0.9077977223093696,1.809383042894171,1.3611220716915884,1.1420062456201017,1.08767043887153,0.9369944406572581,1.0148458471920137,1.2636594071185203,0.9042671106572729,0.7832026649509727,0.6614875663664035,0.6626957646817667,0.582674573066894,0.6053293446254291,0.59572701608295,0.5559718658902015,0.5801552130139508,0.5980893246520913,0.8466599341536057,0.6759915556295115,0.5486361720005055,0.5514631754918906,0.9642497876640023,0.6319025014954733,1.0714704730434261,0.9783061539966544,1.2148040735814571,1.5002756625776756,2.768808634597101],[0.5890005004769261,0.6111319367654818,0.8981196602653723,0.5638995285652662,0.6719281235720832,0.9026482187740485,0.8626124143753774,0.8503508943756916,0.910991708367131,0.8637626267923889,0.8536024538196583,0.9116628264295413,0.846368783934008,0.8297604692410129,0.9028890886841734,0.8848436295261768,0.8936115626676588,0.8727692745279984,0.907193929403197,0.8532480589592811,0.9230537917545493,0.9783201215684223,1.1388198998696533,1.1670326894640686,1.0175624422368328,0.9142609843332146,0.8590259150862666,0.877609730905529,0.8860579459584427,0.8805717621735202,0.8969049597575153,0.8688160738559119,0.8960258237314853,0.8881285601627485,0.883985339841872,0.8747531274241039,0.9131036178978117,1.0255772260851417,0.9227515436996427,0.9543718929103159,0.9342147552922518,0.9758667941596879,0.9621707057743973,1.057948305642082,1.1939195515021246,1.2988049624914846,1.6681639846341871,1.1989161069513818,1.402670407699618,1.3843110638447493,1.3841119154893855,1.6302256846648273,1.2135505966691722,1.1475180374785152,1.1874390963786465,1.2144954017918665,1.2302672881135512,1.0200590048215086,1.14071472319067,1.9711757775213856,1.2081954006719142,1.0906665696225326,0.9579160384123085,1.0539409562705573,1.0250155906935456,0.9313379137347999,1.0061763449221512,0.8671251257740304,0.8972651545826632,1.032555661685412,1.0582549897102613,1.2623946154783547,1.0245732530027774,1.1108683650530353,0.8734250679534967,1.2406347008085479,0.8704173855655767,0.8820802988057881,0.9104633332574695,0.9304545634567607,0.9226218577368084,0.9018542508796964,1.0700213709773794,1.0446395183932282,0.9918755384929036,0.9253312210049199,0.8885087186256516,0.9175025852840882,0.87459678780898,0.890005156378514,0.9186207627366103,1.1652891898418527,1.0418488622312905,0.8908820255834681,0.8899884241322519,0.9627961357267982,0.9873737191530472,0.8878707402087226,0.8655917818159375,0.8871971214287562,0.8373751670599072,0.9095552721421849,0.8722045583381715,0.8733268099073553,1.0096570663936082,0.8104574645695211,0.809997301094024,0.8168397893769077,0.6884441200159852,0.8010852395959587,0.6596291282625553,0.764935095517156,0.837715516495263,0.8378485988214701,0.7965377482748294,0.7733378918228213,0.7778547796007648,0.8643736276790649,0.9921675541694069,0.8460872229328962,0.8541738467450644,0.8995400945417418,0.882490589126466,0.8796134523879628,0.8615402704008498,0.7736433693430068,0.9110546228734535,0.787861412878107,0.6153677859592139,0.6833696803501055,0.6559424285381178,0.6829052173017509,0.7593248217880332,0.7785617414673122,0.7775005373278908,0.7338364850860691,0.7016644608545788,0.6528079107366611,0.6773694910460742,0.6978957777620793,0.8726300748797838,1.1927069256531062,0.9891355946277031,0.9098461291888158,0.9398038404503374,0.9967768388879688,1.025241577989315,0.9620070503443977,0.8757439286095882,0.936378081471348,0.8631993981827514,0.9315695769865046,1.02665035984776,1.339866825622998,1.1336352265395968,0.8447221657448529,0.840260886712767,0.8522172616774518,0.8394820982560807,0.845826004758699,0.8867731838028263,0.9270357126187514,0.9830279780608321,1.0332608703937967,0.9418061962401691,1.1978230690217648,1.0963543941880955,1.4963412036220678,1.2594173811758922,0.9503366039838128,0.8634468683622616,0.9027611145281615,0.9416725228266788,0.8976187746445348,0.9039771575935606,0.8983675019495515,0.9088100308979126,0.9254966306323533,0.9604859513266599,0.8764321357161964,1.0387193120614846,0.8551923242124474,0.8930583863986162,0.966775548081665,0.9185771390778033,0.9916690501386278,1.023824914484799,1.0896808021381188,1.4217001099242565,1.438037032483709,1.6743040313861193,1.1589488666465206,1.2546328005666492,1.1033773473412112,0.9510400009963398,1.0507295014997482,1.0037514975279664,0.8875471970863822,0.7391090527896004,0.7057369943097527,0.6540549958143723,0.586706169025638,0.5529626293588031,0.6003859727802592,0.6148869199382988,0.6265218154908051,0.672999219693693,0.6814922551719598,0.6569483733285901,0.7628953759898799,0.809437830147927,0.825091410238283,0.8563272926802329,0.994140043354454,1.1026893883090378,1.1661579696883386,0.9094523932677185,0.9285753485324066,0.8209810381393112,0.8249395422294716,0.8050365980816391,1.2792166107898102,1.0219503178209395,1.2615100239747317,0.9287136503596958,0.8348964756319366,0.8068801352199474,0.90018727173138,0.950893386562266,0.8179690074314112,0.8468229045314376,1.0267366031048186,0.9564381038000448,0.8844051431793457,1.1213982027130835,1.276426200698999,1.0481096823402298,1.1970392613488026,0.8098542059217844,0.91088558780413,0.8009163481124895,0.7371609776254556,0.8510606702404917,0.8057895834076128,0.9249200333218476,0.8699887512757809,0.7701910822520145,0.7044419403210657,0.7627590348960303,0.6444519598681683,0.6894841604479027,0.815991595236148,0.6991989864312703,0.7036486638481033,0.7568825567695328,0.9286938068928361,0.7750584327321979,0.765075824411118,0.7602112619568521,0.7008818101560543,0.68692830697307,0.7221474564423949,0.7403148685962331,0.7042476479646317,0.7151123368135411,0.7921204516439815,0.7970513070764828,0.7535275185476008,0.8992736440433436,1.042593302453169,0.8623045858498262,0.9536416170651303,1.219065016013611,1.3344464576425468,1.1242570797371043,0.8881769368821169,1.8024350876777948,1.3070432655298416,1.0853297252967136,1.0443708790773991,0.9050198222398745,0.9793848029604271,1.2165404998494553,0.8454021267375841,0.7485073278612457,0.6616954674469703,0.6478461317834718,0.5780243413251303,0.5796606287910342,0.6140933549985119,0.5631771273341926,0.5985525398947674,0.6116812388021603,0.9417384538333007,0.720549451185468,0.5567848470196239,0.6049640190249089,1.0398489801103148,0.6690324311017083,1.0404500234496723,0.9109016093349127,1.3851711836485205,1.4156658532741588,2.3297333147900914],[0.6960322321379975,0.7169987306510659,1.079031010806295,0.6473722682115138,0.7797416120109015,0.9975823147070644,0.9364619544919679,0.9157583337880538,0.9375749801325941,0.8542524384110809,0.8334619385058993,0.9028642697835748,0.8087678187590259,0.7629802781147589,0.8172079023989282,0.8127689742526493,0.8005422483870709,0.7569885683739431,0.7451675193369178,0.7492439520026924,0.8045290119513518,0.8930603685452868,1.026108772623096,1.06551418778819,0.9686521854543769,0.8189768909371432,0.8013815559068286,0.7555510468369616,0.7808448850902225,0.8159450071118085,0.7969972733722205,0.8180516167746048,0.8340928688307113,0.8016277379866819,0.8025915985048941,0.7765301153484921,0.8414940847662733,0.9284270447411281,0.8244334225639026,0.8748220670600376,0.8935656566127377,0.9120841953334091,0.8693697183684588,0.9336183099681419,1.180810912113277,1.3445814020499218,1.672488083157116,1.0550139055370864,1.1364845342480807,1.2039652171141846,1.1756639013098225,1.4027926602018077,1.0748402032408215,1.0518037928098072,1.1967062022970123,1.037937857061373,1.072583433540145,0.9300260715025388,0.9978952538713485,1.7350905820655371,1.0343217147583585,0.9382950989394743,0.8247827150228179,0.9371518241439895,0.9065938730293309,0.8234169756164917,0.8591479229057469,0.7461649050850858,0.7652159681671182,0.8714029717536359,0.9737969444586652,1.169025270209609,0.901343662077579,0.9951489170127162,0.7969010590589997,1.1416581224965872,0.7504590965714251,0.7591794597791838,0.7941353735148952,0.8246031890446456,0.8317287109179572,0.8299932479788413,1.021585608888887,0.9986743025477178,0.9348472830105365,0.8518363850543661,0.7940185366223752,0.8435217971101228,0.7708734832040931,0.8038650838277691,0.7960507544233729,1.0379902840859914,0.9221240097160435,0.7800914189547061,0.791835774290973,0.8458980663953457,0.9028636856999389,0.8312125823993487,0.8490518126853587,0.8939897053864627,0.8301772256890303,0.9292933037759836,0.8663391179410533,0.9075331293409574,1.025623317254095,0.8533479909476934,0.875009959987365,0.8760466521701779,0.7846956618448658,0.8798598818064222,0.7584714364415346,0.8228509278492374,0.8921474987171145,0.8528416877996849,0.7455250765927429,0.704342804904724,0.6789677816613552,0.7355626225975374,0.8272551081005366,0.7091529976831119,0.7304432538377318,0.7957296418662975,0.7929284954256126,0.8288343271940077,0.8600083316577304,0.8124424481319549,1.0127206791163397,0.8556599084046186,0.6992935889451497,0.7258037654792502,0.7018891422642929,0.7220873928966441,0.763312259422923,0.7900822939744686,0.7783248198289692,0.7483599262450874,0.762694475413101,0.6484768963410588,0.6420377052184089,0.6427309976389164,0.7952518980837094,1.0813148408374091,0.8308806816274671,0.7905140295211129,0.8149485153536107,0.9095424067232705,0.9699166862775415,0.9277569512833406,0.8810524508530319,0.9598226751929229,0.9196857406342677,0.9763749794665102,1.071251806361984,1.2899838031065154,1.1416942023585817,0.8771234815720006,0.8605865831324963,0.8880281134763552,0.8339662485666445,0.8700609277923251,0.8771785897260594,0.8748340813885929,0.9103963608432429,0.9426581855609387,0.8695846072659311,1.09777755046121,1.063615155359445,1.4902650455933293,1.2589770742739008,0.9630860374122151,0.8456152347162215,0.8702504251776824,0.8999324387919043,0.855734599453692,0.8629501143519284,0.8795497759785925,0.876041520511499,0.8938138787658928,0.9051565717827315,0.8485685988889934,0.9983207306669143,0.8507442188963044,0.8662232116535825,0.9213637316556571,0.8707026802609822,0.9366736461652843,0.9751301379493813,1.0328424454076948,1.4593366110955541,1.3885701185620776,1.5721176440112798,1.088194822045328,1.1766426948986537,1.0588293559926847,0.9177479228841033,0.988377125759391,1.0223646662425019,0.9418051303307873,0.8275573757988063,0.7629170206832728,0.7538689139412753,0.7004200897706425,0.6705962327471641,0.742754203076394,0.7530911058276193,0.7602591303100443,0.8178341519246938,0.8365433119080576,0.7899629794934409,0.8754418457295091,0.9279905360936804,0.921375361415139,0.9169071821752327,1.0467545787956083,1.1306325150121728,1.2206430349586486,0.9712918919002913,1.0339097255526692,0.9424147798448911,0.9356103566440848,0.8907427690610513,1.30493802932272,1.056830520700415,1.3114711168403084,0.9945946978075164,0.8914157299509944,0.8930608680999442,0.956268673583205,0.9784941041659105,0.8873002666539329,0.9016081361287581,1.073633645265409,1.00465071250845,0.9268461866805615,1.11490378298453,1.22900408339429,1.0593294919371876,1.2122120970378993,0.8920061174840992,0.951088797206999,0.8819383044571506,0.8374639142516356,0.9523584589599174,0.8929175843804629,0.9983703154559355,0.9267672909835364,0.8442636815918025,0.7993319400030825,0.8416895350385191,0.7556705402436181,0.793746992931086,0.8915821707075761,0.8031211994949231,0.811529926052817,0.8484858797333927,1.0119005757424215,0.8790879131355592,0.8704400220970394,0.8794175413664651,0.8207394651557856,0.8173052023448595,0.8304244407253281,0.8387890721713521,0.8223743456705799,0.8290950040328089,0.8791808285870515,0.8962261854232776,0.861776473492228,0.9714314697797682,1.0942871409732142,0.9800623142314954,1.0399302770859429,1.2833753358591589,1.4103932527496916,1.250903889954366,1.0277983853334673,1.8872713249023918,1.4838537057366343,1.1849795515218282,1.1800109856776428,1.045005065344639,1.0906914253639566,1.3822867194308621,1.017932646150979,0.9342750922381805,0.8615484093384493,0.7864491581232507,0.731618699530476,0.6813758064119795,0.7404136118221338,0.7182072922854288,0.710859732680027,0.728822869422308,0.9906076405473123,0.8218372345104494,0.7273490679562556,0.7610199859936387,1.095220594712964,0.8128066890579584,1.15697191323261,0.9368301662338515,1.6208189729670508,1.6080130365314493,2.027437389257028],[0.6806559761872274,0.7169313472494648,1.0834854604072914,0.6042954331055962,0.7469508456186091,0.9420025425606595,0.8769492595491333,0.8605197038498239,0.8826029257434408,0.819068925028597,0.812468689590636,0.874826999357892,0.8017097529460935,0.7516681392511431,0.8153735041266718,0.8191362593184986,0.8145998044994636,0.8098845483710143,0.8175565729151946,0.8458612941490411,0.9079936133669042,1.0112805725903111,1.1309484370872451,1.1755723377002205,1.0752217429712112,0.9182413230963842,0.902825346857289,0.8225571993530093,0.8327607327837304,0.8513740227357537,0.8247805420919886,0.8515879539281119,0.8667442916579124,0.846626612403727,0.8544771920744619,0.8334863359119858,0.8827433642911268,1.0012487940446972,0.912425202164138,0.9697949612385767,0.9907002827202176,1.0108493649800911,0.9693697046726201,1.0442230265818981,1.2512399397407663,1.407201915448246,1.7511614679514171,1.130892009365778,1.229005253707632,1.2646848974145446,1.2753125400857288,1.4284592016838429,1.1761968973820929,1.1478012657839527,1.3039556971457034,1.1355261287865366,1.1556286942845286,1.0251335613517079,1.0887337574309865,1.750688600431897,1.0985797471403937,1.0094645526563275,0.9117326052067424,1.0306952767260413,1.0100761486904066,0.9249332261493737,0.9462618272593762,0.8281320968390206,0.8386994352900183,0.8997958124836154,1.044664793018823,1.2288860173555174,0.9525752293045021,1.0706489369785053,0.8776770122593063,1.1663827549727512,0.8375842298539709,0.8385379301213794,0.876925495867215,0.9192024332239509,0.9106284093405057,0.9197769070774025,1.0503767228131813,1.0880003238956695,1.009986222878937,0.9088181179876019,0.8774479168562299,0.9143768669276017,0.853177749642406,0.8739536673149111,0.8465223787667046,1.054304807114409,0.9353545943368577,0.7987672367353984,0.8037008574154546,0.8330676667714051,0.8959961596255533,0.8310871706209877,0.8401074008987292,0.867132731819952,0.8388093531943692,0.9210964453494066,0.8851272946410891,0.9016237478937447,1.0609206064812164,0.854928107059149,0.8759219599085308,0.8803346230963777,0.7694221606814491,0.8319075373249482,0.7331105019279613,0.8092604528129678,0.8572308299104535,0.8262568244878379,0.7389983855189316,0.7158427866519296,0.720219548725846,0.7963286213957658,0.8979668377616132,0.7654781807995749,0.7664026810290572,0.7979780557095463,0.7985253711689924,0.7971612807572376,0.8058723852924844,0.7565726955738032,0.9767582980816008,0.8224930327384418,0.6886182533407431,0.743460746240363,0.7108377487052089,0.7412646145554384,0.787047831573742,0.8030425543837995,0.8051255958583365,0.7548930852996942,0.7434344560551697,0.6880179341430078,0.6832761772311143,0.7040455261438237,0.8939863769030775,1.1285652395576962,0.9009612090300755,0.8529438120587748,0.8866640037455223,0.9526568622307394,1.0069792332672074,0.9328491371380261,0.8716336060479017,0.925792658361202,0.88608585724696,0.9197519631343983,1.0256529721217444,1.2192395477121405,1.0858189850531295,0.8528720656698129,0.8455532833643447,0.8727749065398328,0.8354365041258437,0.8743530526456134,0.8901083778733916,0.913387271880347,0.9491066870491217,0.9986338251882643,0.9472069076281964,1.2208798641292133,1.1344690811596592,1.5415551645865493,1.297151374248493,0.9897024180325917,0.8758178857131784,0.9133333994545559,0.9376319049374616,0.8891904562077799,0.8950131755878418,0.9061762929133835,0.9003560421173287,0.9257382544679078,0.9328798589671502,0.893487677073096,1.0070462533877258,0.8692147055785531,0.9006311661248108,0.9597694577941619,0.9209408890715297,1.0266774117887654,1.0780668934561985,1.1192565809669928,1.4859986496796735,1.4740336748210534,1.6444636373351913,1.1377093379860113,1.2351586845503228,1.0873284144884843,0.9488747402787209,1.0509145783338012,1.0472315667715062,0.9567556786464778,0.8375771747441118,0.7732731512686867,0.7786938386618476,0.7125276022849595,0.677466986524204,0.762850221537288,0.7746428623231002,0.7606809517551065,0.8265585639197762,0.8608836056437658,0.7946354696124517,0.8625584420542991,0.9300760581748826,0.9237120833745213,0.89630614955642,1.022735143035767,1.1221937555339871,1.2145001644217186,1.0040815998967996,1.0940881583538533,1.0030020040558476,0.9933824899862526,0.988799535596499,1.3561725233134867,1.1534274483809868,1.296996698211195,1.0456512398326612,0.9454346155609605,0.937253073549541,1.0090235237976704,1.0349037065968945,0.9402364694138718,0.9485881446343718,1.129657173071316,1.0566500736163402,0.9735987787721583,1.1676637572882678,1.2904012333249912,1.1167141982811486,1.2156325904193113,0.9227287020929764,0.9983226916888648,0.907871439084798,0.8515222373570287,0.9554132958788818,0.9133894290405828,1.0010859710627222,0.9490846709453351,0.8583797601518036,0.7978968719396249,0.8325087375491979,0.7507173425481448,0.773052063907088,0.8470275392721086,0.7773149760554194,0.8159362012390661,0.8185342099889242,0.9704759642298391,0.8884296474651378,0.8923049905875471,0.9118744859825636,0.8550998548531016,0.8523272538836782,0.8872369288208141,0.8950026057421534,0.8695721439347952,0.8867042413720031,0.9539429164980003,0.9643051714902326,0.9172819254844994,1.0459006973343967,1.1822795160880997,1.058867288347593,1.104492507545307,1.3858493125432227,1.507309446114179,1.3274310157309306,1.098793260700785,2.0132335014384894,1.5560973293825695,1.2819452916591005,1.2328700228476055,1.0701506985931768,1.0968554985203924,1.4036520310373457,1.0847528210720407,1.0163241578639108,0.9028426318416558,0.8269429190746186,0.7232502185301684,0.684412767593599,0.7118396969391071,0.7070326104331192,0.6788012653278221,0.6926315362466158,0.8791665426806549,0.7672002837677455,0.7199939317156089,0.7172896853653329,1.018047240125518,0.775698935985418,1.1847641339604564,0.9163075779433707,1.4363262350426438,1.3952900661579624,2.1807667988201915],[0.6390105097114293,0.676217137973475,1.0468747901387876,0.5875216568217108,0.7445413956933999,0.9586934987850997,0.9208151282154322,0.9174684042137582,0.9414413037061098,0.8994370680678208,0.8925490196189758,0.9534007978609846,0.8977737827910269,0.8523140586382602,0.9353054659013076,0.9304386647295366,0.9328777284859092,0.9296316151787525,0.956139461107381,0.9455943486515478,1.0035913459166586,1.0716911436628358,1.2157039855239022,1.2453776083877641,1.1074891674827312,0.9961727722806681,0.9478389550198113,0.9506183183114987,0.9624233928192768,0.968772288013309,0.9486931112290724,0.9581304325012941,0.9732100834093597,0.9686965496261027,0.9779639758440131,0.9619832650392712,1.0191653555610014,1.150977266573038,1.0413462960405546,1.074782082584628,1.03637109520235,1.067042446459063,1.0564645245449498,1.149556930645346,1.2496929767524259,1.3414118482575461,1.7398548756283885,1.2456419179359572,1.4988355911830495,1.428770376579177,1.4880544119004342,1.6717521810857798,1.3175069540658122,1.245818016582869,1.3018175187391527,1.3166454326638388,1.3149566988672423,1.1294363792761946,1.2415485206057173,1.9793677873097215,1.2462650870026555,1.1507136590673086,1.0385443383391448,1.133094837485467,1.1051580822008105,1.0133500573378253,1.060191785539261,0.9378832802715656,0.9512697335617388,1.0541811533058911,1.1479431861889484,1.3769026976245022,1.0884632917216526,1.1723148948240705,0.9598068624892601,1.2615113274954017,0.9482599828002708,0.9516071146623082,1.001235055597352,1.0365332843309234,1.0408398248323616,1.033758886474891,1.1327162856047357,1.1961202665148902,1.1084281755969416,1.0406862197695108,0.9980991841022316,1.0385857971780925,0.9756800492392272,0.9754679229117016,0.9768379019590845,1.161895815318756,1.049237303620486,0.9175561911897654,0.9221474137329506,0.9611218628065114,1.0033960301056277,0.9384906192492586,0.9298021663169723,0.939667385112565,0.9297316368922238,0.9941589264760236,0.9877185811667062,0.9905216236039993,1.1315079696416874,0.9471241993993238,0.9717132712487918,0.9632492297866102,0.8391184153636972,0.8978654494526735,0.789394452631782,0.8841399748799967,0.9288692081899765,0.9120223551499667,0.8315486867986477,0.8126316397786616,0.8224328552423422,0.9024590568700189,1.0235656040786485,0.8893607999801869,0.8712154314054906,0.9107780145528102,0.9048306507201843,0.9051227510269569,0.8844549348264401,0.8496060483017928,1.0230691838984414,0.8804997793347678,0.7638699688794114,0.8284544499477056,0.7862694616593726,0.8453429363616128,0.9075989475367143,0.9263622558088862,0.9248333186178409,0.8560291667279292,0.8286156467215429,0.7397991466190884,0.7398605203736681,0.7822691739515899,0.9751496971337212,1.2222426621375526,1.0212136712880993,0.9844534775507918,1.020171091290276,1.08165227247321,1.1275369724023396,1.0358661426366522,0.9737112921464879,1.008764789491268,0.9559122470290019,0.9849900485549479,1.0744304182686433,1.2497447336969965,1.139083579158913,0.9203320132354339,0.9228588489966062,0.9476282772913869,0.926502179468067,0.9699186440420366,1.0012747727837783,1.0344668517122477,1.0808270107454119,1.1552654219514524,1.0459819345910528,1.3464246663262742,1.1671763135449036,1.5088315003761679,1.2521489937543118,0.9885364732467996,0.9524386007427842,1.008889192873932,1.0506503701660865,1.025983485909201,1.0288438850791592,1.0270411001663156,1.0170716505509838,1.0477104785886973,1.0707892250354343,1.01642806243201,1.126984166576675,0.9903928119255617,1.0215998592981173,1.075263596446108,1.027788505674631,1.1075643956336518,1.152740163671235,1.1911592864283023,1.4542659686375976,1.5078311387453343,1.7363184811807362,1.2339902831436134,1.3295997039526164,1.184162256500755,1.038310567130531,1.1061078133712625,1.1149930230282263,1.0253448007493045,0.8909727229139748,0.8080467063258024,0.8188411910723661,0.7466924335321918,0.707572787194641,0.7818487733789056,0.7898337085474056,0.7667080615433363,0.8168611276128999,0.8493917442012375,0.7858990403129923,0.8447763291701237,0.9033210924112518,0.8997900558948013,0.8797394626425452,1.0060516762201615,1.1057953648408267,1.1957512528340803,0.9807766760081104,1.0687638294611905,0.9858329445186002,0.9801178173046805,1.0054781834282223,1.3684283424495658,1.1869085169964848,1.2975330263095894,1.0841781270229136,0.9947840052746618,0.9885079113597519,1.0827192513102606,1.1015893102921979,0.9944084107681737,1.0150956953134178,1.2099908466396374,1.1171195386715276,1.036379929485539,1.2409017109812148,1.3748711005576544,1.1774809116934517,1.2545421779156976,0.9736221046119317,1.055006416867729,0.9771831597167413,0.8949349393460981,1.007089940585292,0.9511533493592689,1.0363819519437307,0.9785945109642225,0.8785775233098209,0.819807345104216,0.8501638653407111,0.7650823649875649,0.778050619008602,0.8507139384203077,0.7727032073974636,0.8084792300099596,0.8078391618714116,0.955759512393895,0.8688052977835085,0.8764925185858743,0.9003462859731415,0.8594653497572333,0.8686331099566746,0.9195465271035533,0.9065995189712108,0.87371717306832,0.9159534562453006,0.9806526379763144,0.9751453162734058,0.9402632164036081,1.090232188519476,1.2155441773190794,1.0698329928765682,1.1424948240593118,1.4481247407893099,1.5348897120618292,1.3237628566151896,1.0745084904040532,2.015895479229958,1.4967501911485106,1.2596343016947742,1.1907365159571521,1.038705042871966,1.071960295297055,1.359370275736458,1.0477926722466029,0.9800960227517374,0.8876635539851812,0.8337909085542068,0.7391890921445519,0.7195755426577404,0.7526567646352014,0.7243150459556287,0.7103476076551848,0.7130625511313549,0.9106846487116346,0.7900560643587894,0.7122325083691149,0.7224055442474507,1.0414853008001135,0.7655634417457888,1.1543560774564572,0.914112775940312,1.4814849394878147,1.4126659089531286,2.1972244468076645],[0.7393521424790602,0.7524383992031226,1.1548028887892097,0.6883189537014806,0.8644036593902761,1.0895152994230382,1.0620053319347136,1.0651863859570723,1.0764740248868705,1.0244577458567914,1.0053545430434927,1.0727786461733764,1.0079926910834522,0.9557832480763173,1.026990435968208,1.0167191034215148,1.0091724659949042,0.9728357441685087,0.9624185935505285,0.9401796352436126,0.9705566363780807,1.0274811052987791,1.1643277584679892,1.1843470183918423,1.0621775501688178,0.9626750884758295,0.939002211511171,0.9914902540084596,1.015788411104673,1.04293016111767,1.011901542672956,1.0369658586446784,1.0499098510975755,1.0191273247435566,1.031635977522461,1.0071682342928558,1.0930318640742729,1.1829097276729668,1.0658421458691123,1.0863122448641545,1.0327586451339097,1.0463451205932661,1.0336750866807691,1.109055847494235,1.2330065485533674,1.355456284444437,1.7194299195241267,1.2273054773596208,1.4619261094530414,1.4270534267980748,1.4349430611387533,1.70978613897769,1.294316346394202,1.2384693459631022,1.2647103841109402,1.2921151481734103,1.2903364777551216,1.1127225676441108,1.2267248956650414,1.9778228319162483,1.2354457857700243,1.134581689265519,1.0252951921066216,1.097398150549514,1.0661258186368283,0.9918905184909751,1.0361997055234784,0.9387368743829344,0.953928003697406,1.0847959116839936,1.168722143039281,1.4048301979397524,1.106628114125907,1.1785800576948964,0.9594907895739534,1.257497866213988,0.9497010148796783,0.9653444557241981,1.0175501296170466,1.0402915984283783,1.072206172875764,1.0512759422200546,1.1969236260116716,1.2211398349053757,1.145070346852372,1.1041672846781068,1.023111159491435,1.0769610009348707,0.9960825552264425,1.006069594157617,1.0117777906883727,1.1917023486215084,1.0984281660026163,0.9819717047052832,1.0016616638558835,1.0456993449386942,1.0913526793159423,1.0355237165099977,1.0382975611458776,1.0593714117407378,1.0293049390612328,1.1083893872189166,1.0947936067634165,1.1151106461019407,1.1835682541503165,1.0787034338347348,1.1068145277179664,1.0872173761526225,0.9893278054067765,1.0638524677497654,0.9385300176303376,1.02400341360976,1.0685265436682496,1.0418848780151686,0.9455285913992617,0.9118209367810524,0.8948962848395853,0.9470194197841715,1.0322774416099705,0.9334981379373453,0.9228974304171969,0.9904004368828323,0.9892837159902113,1.024775645351919,1.0228807225767613,1.0256260560062516,1.1657042162293014,1.0153691060058048,0.9214254278047223,0.9591995494019803,0.9193906794543049,0.9738613202050553,1.0307857263418279,1.0628949339310825,1.0480889264413447,0.9932277110879577,1.0033799341388712,0.8637581607943429,0.8413120521529752,0.8688339611203271,0.9812707695496736,1.2247986900019774,1.0450034515189268,1.0468665277643525,1.0752735501621347,1.1475627281803167,1.207573089600798,1.1381612367138645,1.0993159420795822,1.1419325202167123,1.095726490698326,1.128317356779534,1.2082345925613278,1.3245487802278724,1.2478500009660503,1.0498873419010177,1.0473301914925417,1.0729202063432708,1.0443348508289227,1.0950557416003057,1.117244998097454,1.1145748549818393,1.16111192787112,1.2211377583948584,1.118608174695411,1.3380084822896277,1.208799124287879,1.532784470505339,1.3029676764374485,1.0666290909165534,1.0517161420018735,1.09601413973202,1.1419949782327787,1.1309750935348801,1.1286760054973701,1.1274702034960586,1.1086032923818725,1.1360043961459914,1.1645446341357761,1.1064850224528162,1.2407030551179037,1.1082230641073516,1.115625693729511,1.166377798669822,1.1103774015548906,1.1370896033724145,1.1551416260700875,1.198432159654196,1.5060227646507702,1.5020066563250298,1.7341349237524681,1.3142426361589767,1.363513924952401,1.252260083746153,1.1085785302418474,1.1244679488229734,1.2213526883659263,1.1549630033401106,1.0341685370392153,0.9275059054324251,0.937558066121465,0.8737377336287336,0.8376824316285469,0.9025882217640869,0.9000169415483716,0.8810344860876461,0.9190076159439398,0.9494796444350874,0.8872161337487924,0.933011983094641,0.9762114130733639,0.9645757116215221,0.9452303414517796,1.0576231276291603,1.1342141024681254,1.2325835627072605,1.0104575200439634,1.0979410046345368,1.0338116861086766,1.0227606117505315,1.0379163436244143,1.378439251596518,1.2012329057085844,1.3470537457082505,1.1272840935688635,1.0565098074989516,1.0708484638770734,1.1515244154427273,1.1574852710073709,1.0636778847292307,1.1012291616837644,1.2956591743466848,1.1910022335994608,1.1250338833504239,1.28661103032916,1.3852695655313692,1.2389408501366388,1.3455413148912074,1.0931992651798508,1.152701064475992,1.1019800668666682,1.0150162670741032,1.1492131758267927,1.0477333568154332,1.137391206919968,1.0457303746547777,0.9485146055511614,0.9144711962178739,0.9316187900541573,0.8730712162720753,0.8877369246340364,0.9552503953997201,0.8854235209768057,0.9028883410098374,0.913308706151527,1.0598281909062277,0.9471891892681945,0.9481368806777934,0.9668800979620206,0.9380016656160257,0.9516304244218571,0.9911303028376032,0.964274499003099,0.9487435516256629,0.9925249733525027,1.0302649830481572,1.0237887586804209,1.0172554695123788,1.1344431504251007,1.2297381394242508,1.1238246689963274,1.2136597679237522,1.4668167204457496,1.5537679354405531,1.3795939104541555,1.1407832418946344,2.0176098437149332,1.5446472609423856,1.2552169916221445,1.2191195563702844,1.1018214503904964,1.123662053550393,1.4135380456816256,1.0924894832996823,1.0342571840688983,1.0008551920250424,0.9373415540187509,0.8805466275987361,0.8564719678294722,0.9088156538995902,0.8698100160954814,0.856624732919026,0.8588633948772761,1.048991529753235,0.9247951521577739,0.8572217348179906,0.8848803060849808,1.133487135846134,0.8985152633467831,1.2254562698961333,1.036239865490964,1.8844393854867605,1.862559734510608,2.0985115498769833],[0.8410185001747953,0.874679330362343,1.324580812448611,0.7647973007253998,0.9439667744702231,1.126467927147895,1.0714799708807743,1.0764964571824382,1.072670620936489,1.0360322539631084,1.034900335065729,1.0808870973998024,1.0288950954078941,0.9906410993428413,1.055823066378193,1.039440803311691,1.0356936378109622,1.041740490274457,1.0529519434810732,1.0434951457690502,1.0917657487240415,1.149890207095358,1.2733315163241086,1.3073506369709766,1.2001646560878674,1.1016187523252905,1.054765680382079,1.0271462774205722,1.0407793411888506,1.0604726744514095,1.0435884593033333,1.063121354800554,1.0823429120901091,1.0521835853482153,1.0538148969302537,1.0313616683091933,1.0763397733879956,1.1803348008777592,1.0665174326740807,1.0632204984198421,1.0538291069743455,1.1178980507403986,1.062601671892391,1.125848756921721,1.2843311332709741,1.4415177333169045,1.735734625373145,1.1477958962741452,1.2911825751909156,1.2639780664847733,1.2924508015801683,1.4980853781140997,1.2171073359724376,1.2081503551687571,1.3330537824310174,1.2141693779016094,1.2448142956892299,1.1300357315316099,1.1945273738112183,1.8151960428091147,1.204456805040973,1.1440358018919354,1.073263291889382,1.1653587960548135,1.1395689948590948,1.0827754711469857,1.147476142670481,1.0434493913925278,1.0915278549971312,1.1382276909371956,1.36965238872936,1.5664365432931233,1.2378246590042217,1.3407630889333246,1.114129419628983,1.267546147781303,1.027336091661839,1.0164914512115075,1.04574715881127,1.071805444825872,1.0600368876484405,1.0404162037281124,1.1660210105881006,1.2254233213124155,1.116413773315006,1.063612785622172,1.0202128681383642,1.0742574396199893,1.034050254832428,1.0498268106404862,1.0487701745743665,1.201962326129063,1.1161299778570986,1.0246922261575708,1.0300343259308606,1.0630380425115593,1.1170679273001682,1.0571901417899843,1.0603098782771063,1.0672730521203937,1.0529043732260752,1.1229316191216316,1.08877045022225,1.1099079506953888,1.1922798907448227,1.0788154242661376,1.1275812412880843,1.1081230111154348,1.0412673054659187,1.0745462254489908,0.9784032384406202,1.0341382921599689,1.0808139231749898,1.0314236783956212,0.9404617883231876,0.928887562869202,0.9471091291338726,1.0249202272570226,1.1207186024044102,1.0137271979423352,1.0120897255111976,1.0307485799943243,1.0425707258023842,1.0281966729559577,1.0063705188026575,1.0044385869174184,1.2037361604000423,1.0442881941661455,0.9628665047157549,0.9716865528519203,0.9559258737245956,1.0042710350368058,1.018045487159394,1.0313287645131641,1.0213734775108154,0.9664438708920811,1.0177250034758014,0.8079025294204537,0.7881981815520905,0.8688256582430885,1.1261347050117516,1.2936623909754073,1.0759951294568753,1.040367529341573,1.0432891405542215,1.1428314654773948,1.2158568696598449,1.130601956376387,1.0942153048040288,1.1429524350885578,1.1088316585440559,1.1230269759185936,1.2169168019961505,1.2701753740522577,1.232913919421553,1.0674321109698293,1.0568885052187673,1.0837358681099838,1.0432040799964772,1.0879131901089298,1.0939414839289066,1.086014400399052,1.1135879703728813,1.1524921054398338,1.0098686729525286,1.2681201514207647,1.170265723963804,1.5425567239214435,1.3016069305462676,1.0209861328245053,1.00008160272355,1.0514848176307376,1.0784726633580157,1.061952573726156,1.0676802862615524,1.0917232208236778,1.0876342234566057,1.1021909938006689,1.0851389510802287,1.049399616392318,1.1273732617909902,1.0700107644784742,1.0611281066210303,1.0958938407824375,1.0343648155300111,1.0764176707327329,1.137962169286341,1.1507679703821903,1.4830911798189677,1.4975736027948616,1.6858094052514847,1.1953255876941429,1.3170058530677222,1.2181193060951148,1.0961037178506496,1.1626793973694143,1.2773777550004373,1.223072618969383,1.1637342132684583,1.0287859518059863,1.0822276917253606,0.9969841298066564,0.961563254693278,1.072707800919231,1.0650758285615325,1.0207690147747868,1.085669956166485,1.139953717994048,1.0455841233974348,1.0628645368460543,1.1267386522959573,1.115072940301403,1.054562993158068,1.1476752827275665,1.2334440616144555,1.3310472268679283,1.1949075386226917,1.3125541521507607,1.2541136430680075,1.240028120672783,1.296645429346286,1.5756701587117399,1.4542070406599643,1.3934927577917757,1.261518248720189,1.199561929892155,1.1962132268758785,1.2977153685612046,1.3169549539882057,1.2254686914362591,1.2360323248187972,1.4393459211423265,1.3418002983100124,1.2631939167644872,1.3744132816217958,1.4849419458580588,1.4088407973569526,1.4157597035274254,1.2373719553949478,1.2447439791616244,1.1986550212202642,1.1247812247882554,1.2296002266519739,1.14716693824791,1.188295851891099,1.1060899113000733,1.0457927341725364,0.9970698600438913,0.9857946810437741,0.9876022334681939,0.9925846927552977,1.0275918812581648,1.0018509833547722,1.0423328333932433,1.0289804013183779,1.1563601307918656,1.1085511197223337,1.1138876281423238,1.1401423622224023,1.114580807499169,1.1034080042735273,1.1535257994008383,1.1579114096562946,1.1396275165568948,1.1685875738459357,1.2307691729094117,1.2216286332226445,1.206531700925403,1.3142524167439231,1.4177785779217917,1.3448276793859484,1.4008314979759127,1.6407721579110945,1.7350249021528312,1.5972138720120634,1.396671582510427,2.2193421590262608,1.7997238983040165,1.487026496253184,1.398325338191366,1.2770034077614643,1.2422663590894716,1.5321967986806646,1.2900596087474567,1.2947306937325713,1.257671838559827,1.1635753883751034,1.055186086876817,0.9837883794657761,0.9983895333764846,1.0082468283803805,0.9320678930413562,0.9445105466221267,1.0609531196031208,0.9830365820144916,0.9957721877047514,0.9820275458686091,1.1214651546887056,0.9981389557083015,1.3535935855422148,1.1204191849820209,1.895462286922718,1.8504447866933327,2.2088393223893634],[0.8336283043163359,0.8861471116976194,1.3075748662573436,0.7641372379445334,0.9478988770178758,1.1144627178016842,1.0555665724651915,1.0653492609997282,1.0483527312800491,1.006452717840962,1.006039665380372,1.0645585528845833,1.0279866615421343,0.9579286157377911,1.0510292480729608,1.05946692347892,1.0540349990709157,1.074023353792161,1.096931191002382,1.1263786362222106,1.1824746901393446,1.263428951102217,1.3807148498654316,1.425652506243025,1.2977100640521906,1.1820225635251125,1.1375851286132312,1.0888532705805178,1.1026189753545639,1.1170000716183404,1.0915416079964768,1.1141340670009536,1.1359371027794787,1.1245795847286715,1.133436631007999,1.1147082401744388,1.1715103728725782,1.3013903466849244,1.2054502766904382,1.246705452806352,1.2124462482893998,1.2451578481727643,1.226460610059447,1.3124224278126702,1.4209824949096508,1.5102528286605315,1.877654903326753,1.3476199505662616,1.5469539960600824,1.4748764108519734,1.5510087530371808,1.6789312977355995,1.4256205376692719,1.38180622530781,1.4654178726828253,1.440956630280026,1.4435100374129457,1.2901224464821863,1.382399232219556,1.989573310606335,1.3777949444818405,1.3047169209850955,1.2061489436204516,1.3023442570095562,1.291276023100818,1.1904332007009595,1.2292889597988148,1.108607358442608,1.1159533233206778,1.1461010389816222,1.3047684193785913,1.5116752907608413,1.2174992896643617,1.3277269070260065,1.1362301036448468,1.3581551857316363,1.1226565208736807,1.1176775096039466,1.165200985931455,1.2046723773892756,1.209544785613532,1.2142817209138357,1.2624490105976023,1.396536901043162,1.262415446720717,1.1955798173361676,1.1622313801184314,1.2055324612788771,1.1459646825679157,1.1437638276312183,1.1287632966224561,1.280222488273145,1.1641010820878643,1.058103940711679,1.0538509739425126,1.0594410553385458,1.1104466569159224,1.0754738943151114,1.0769172078243445,1.078101711622299,1.0945859033711378,1.1674676266267374,1.1591731163365626,1.1690567797077551,1.2998123736361014,1.1493942688656518,1.1954461941869776,1.1751109408496772,1.0850405218203218,1.0947814705843273,1.0130654880965446,1.074394148903728,1.0889084518571353,1.03934536690269,0.9428638291554635,0.9186344429944258,0.9536040963640172,1.0260583863950052,1.1531954727565503,1.0173047286907657,0.9774437192215196,0.9832898977009659,0.9776836529341063,0.9787340335718367,0.966616713872655,0.9707377286083319,1.1996918924386664,1.0681383386154581,1.0016369533073899,1.0522357210284237,1.0188739927907497,1.0928519548502547,1.1145904076682582,1.127350999918978,1.1296427959391786,1.0427101106762848,1.0390076954467684,0.8450784488035022,0.8202397962551748,0.9333523001872457,1.1794320829226372,1.3494764135260968,1.1468393693988916,1.1087618346248362,1.1514862244441124,1.2072560548156916,1.2558891930786256,1.1636526930066036,1.1346509928366888,1.1532218404503056,1.1299100294572086,1.1224263232314062,1.2294040883376196,1.2688712451509272,1.2225060363973774,1.0863012406310042,1.0786963783337464,1.1203444146130264,1.0839591608328338,1.1481715301526287,1.1657525737765937,1.180325956183119,1.2074900225496468,1.2920816527819627,1.180249137735841,1.489184915787763,1.2770874909024426,1.5592197291797427,1.2949173000375758,1.1087334811294272,1.0955944419842685,1.150432134429294,1.1960515620949925,1.1871965055347096,1.1871655055250827,1.1978314257165878,1.1729221683042454,1.2174483604556428,1.210464543459052,1.1839992717899586,1.2430335460730968,1.176657337539912,1.1938084540101994,1.2231541347900845,1.1856221094180297,1.2546854953069702,1.3280520464914254,1.306090249406919,1.538442474691987,1.6053272718584521,1.7863491501356512,1.3045763707495266,1.435412540679376,1.3077920193087986,1.1817796361570925,1.2100123466510386,1.324976917119483,1.2553107298791863,1.1704480170661944,1.0362960377631092,1.1048474070812082,1.030191556973045,0.9923410138593122,1.0922677572579655,1.0950856503717854,1.0511335026125808,1.1025610682138547,1.16387962616583,1.0822454028032507,1.084627818928325,1.1549410291408109,1.154518451607416,1.0738810378544157,1.1628428818719705,1.2657813014249606,1.356671678700166,1.249342726685402,1.3724646060543393,1.3062645174028908,1.2998983479027997,1.3533769375471345,1.5956864833062585,1.5000722754433227,1.4701940798096207,1.3671394141877025,1.2791567846956395,1.273249203671706,1.3466253130736423,1.3755001082917353,1.2935473415115641,1.282196317157776,1.466402569741556,1.387906456208442,1.3020065175773408,1.4318462232631546,1.5637659580696857,1.4304179739876335,1.4228586977843098,1.2697587622646547,1.280385724178247,1.2353273157713958,1.1569006590227457,1.2533409436484804,1.2077918005587733,1.2329494904161928,1.1718789421677513,1.1067534985451586,1.0607987988774292,1.047617193136435,1.036234797641697,1.0398104612495718,1.0701865009837666,1.0367249910757403,1.1008243367754156,1.0697687741580075,1.1710817231639923,1.1410379380387623,1.163926216620498,1.1972652545965152,1.1808948606381544,1.185814495493622,1.2351197847432258,1.2298189453109571,1.1862827122812187,1.2325723928490169,1.3035545218450668,1.2972617711502186,1.2576572190058677,1.395057045227093,1.5069152539519233,1.4108195843640574,1.4563838933195936,1.7679755734743927,1.8493010822935678,1.6707541758538587,1.4368793436643765,2.341070272263797,1.7949105554274891,1.58333634405781,1.445221532550107,1.3053731304483838,1.270933250015381,1.5474755205009396,1.3309507412843755,1.3299125807197805,1.2496289693454252,1.1695605520264092,1.0506886035492509,0.9951969277083296,1.008755061202165,1.019936692259848,0.9635040642630478,0.9720149518971809,1.0670759587307512,0.9905933536833876,1.0090326543405905,0.9865712293705994,1.1194699532813157,0.9944090607389322,1.382322833802161,1.1121905707774955,1.6531613337482582,1.5885445916947796,2.1905417208046503],[0.8739589715244569,0.9229212781206803,1.3018356093275465,0.7890721745602141,0.9443394263370098,1.0992949218726151,1.0200510252927624,1.0190263109229174,0.9979705208015478,0.9262224793818873,0.9143334798251257,0.9931550068722176,0.9429043453734652,0.8619737458042557,0.9515133934639306,0.9759148982884718,0.9632530420765646,0.9824131703967921,0.9888008017609984,1.0615085153708774,1.1273715526878487,1.2359328580499207,1.338453734970084,1.3870477822871143,1.2854510449301333,1.129858121459016,1.1118884946449306,1.0169758749322049,1.0249594125214274,1.0502031222711083,1.00903312480642,1.0433552348451813,1.059249646245634,1.0638151047777462,1.0722741696793594,1.0520810235638243,1.1183456555580549,1.2420498348466231,1.1691748992060405,1.2385637986559184,1.2276137284921045,1.2323185581874867,1.2087456559252403,1.2932945652642795,1.4431256748817283,1.5914526193034009,1.9190366007307629,1.3297547304954696,1.4473193707804244,1.4365393847932677,1.494464836794647,1.59224455369916,1.4080363745950735,1.3711504716734897,1.4963523287271718,1.3892978427956058,1.4006540716346565,1.2557631444051682,1.3319476801645271,1.905224203316985,1.3203397215398287,1.241509937416932,1.1509175034992625,1.2317522853814027,1.2423125157752057,1.1558221545186271,1.152532859161043,1.029506246018695,1.0122710497468697,1.0328875412523468,1.166263012027896,1.332306424041636,1.0750070790056656,1.1932301077373098,1.0656234447465958,1.2998246559479214,1.0606066962150722,1.0559523832201199,1.1101266179296405,1.1759723183361988,1.17917181188665,1.1895071308396696,1.298033535320596,1.3812218904605755,1.2588370661953272,1.175273659573928,1.1345719385435322,1.1612511182093064,1.0877369398835575,1.0888293968522658,1.0570263199382366,1.2123971551602033,1.0873080277907194,0.9661386501486561,0.9550653940380076,0.9504104456043996,1.0215796918688314,0.9974774657816711,1.0074702133033864,1.0406881332986782,1.0420966179707583,1.1347077300506065,1.1247426541383378,1.1407516922136907,1.2877134636342726,1.112164636937461,1.1653601258581394,1.1725687482503402,1.044698990283431,1.0732310097013114,0.9926340858132477,1.040786848672373,1.040524508334788,0.9848832228098624,0.8468456586030146,0.8222820944364139,0.8801345728221878,0.9462695415037365,1.056803802730608,0.9145482022151881,0.8654700988012224,0.8745726743209987,0.8657538259940484,0.8769755544413105,0.890811059313526,0.8867318823106086,1.1592403908886646,1.0597896646384828,0.9565243755422844,1.0193307038915647,0.9695511595963611,1.0431582177638496,1.0573734316293841,1.0838904478187006,1.0864095221751944,1.0058204110532691,0.9909424200782313,0.8259056359639154,0.7449897988355644,0.8867852941755966,1.0986053324553182,1.292459694544778,1.0930201453016337,1.0436618563933933,1.1106026909599125,1.1506149688814713,1.1910383188548312,1.1087737242624367,1.0727720137876933,1.0943405710646756,1.0790776195350487,1.0655122311979563,1.1969836543358625,1.2751885733355446,1.1945216536491245,1.0386951123441936,1.0294518603879133,1.0785784712314306,1.038497092805632,1.1049386446097642,1.1196776404625242,1.1361198955590093,1.1647679895439265,1.2410969226101773,1.1715369059829834,1.4592546337693113,1.3630097090166808,1.72147865020604,1.455733799363604,1.2152207312955423,1.127198827460541,1.1528371793715364,1.1847115919608973,1.1430886102078017,1.140376390593265,1.1554942465006146,1.130109069759576,1.173436059967506,1.1565479222011261,1.1370008273367957,1.153590641696572,1.1428000907958349,1.1862836174835274,1.2216960637156937,1.1944893931608032,1.2758334012252648,1.3481966086585513,1.3319750135917678,1.5932344739828896,1.65815052388531,1.8072439232194382,1.354409388725126,1.4629414275859647,1.3175748875574547,1.1794076914746792,1.2107203652190932,1.1697590604524073,1.1087566123967365,1.0606509466516398,0.9487072295802312,1.0196878958343252,0.9721916582967475,0.9537418871362471,1.041898793136248,1.0498091696361458,1.038125158955851,1.1030010096942566,1.154534305866048,1.0836306336319312,1.1121551920027453,1.1911851646438087,1.1911712853225076,1.1210970396363942,1.2212173473212335,1.3025044149864233,1.3697975978081052,1.2908748144624638,1.3874771020299081,1.309702951277245,1.3119308498442983,1.3215470732122134,1.574583501453683,1.4490517103548781,1.3741614577669892,1.2733519393872599,1.190794885321543,1.1733575217792556,1.2389268251740067,1.2663292080478927,1.2166146995568794,1.1638374576001247,1.3114465878023163,1.2610936190469109,1.182480801252487,1.3004613728750916,1.4474044857079176,1.2934803852166274,1.3211351757342407,1.1535118588377926,1.1446248797807739,1.1165069286240918,1.0614527592263212,1.1687782517093017,1.1369679734001685,1.1847826915541118,1.1421629663298591,1.0888672474831536,1.0364835355767443,1.0305455610463325,1.003302134582002,1.0240759962156296,1.0756308982856435,1.0424851175548604,1.0878925121255107,1.08527607934549,1.2043213637764056,1.1769056220012513,1.1893700566765997,1.2065648853772295,1.1584460422997327,1.1340417913389236,1.167868189016967,1.1953342279779087,1.1564101456699625,1.1577232958549055,1.235067018206595,1.2538420912176003,1.1837907375679035,1.298063833433835,1.43866875592316,1.3547649080400475,1.350107286242319,1.6625006725563947,1.7884636113329169,1.6112815883709617,1.4194112523986824,2.313393377427108,1.8091724031982028,1.612528181146267,1.4809115586559927,1.3238158542859928,1.3018999674752707,1.5719118702936514,1.3559416631945045,1.341839726958048,1.2258575549550395,1.1275551784584925,1.0154586294745045,0.9409753947031941,0.9877254453191113,0.9972306167680786,0.9530511301159648,0.9693296624053247,1.058239092953214,0.9797023656227379,1.0051909878348726,0.9753143406626439,1.0586103771731734,0.9826828334350721,1.382517245463693,1.1166910631139657,1.4208449406118646,1.460382396668736,2.305094586093254],[0.7447596023675473,0.7819207477226373,1.1223548168835602,0.760110995243954,0.908774988965827,1.1208504098739736,1.1174040359247945,1.1215284915914403,1.1638787334369567,1.1670778738242091,1.1693699974793454,1.1948733083465664,1.1838307558475745,1.1594361082624969,1.2438709097233305,1.2481377485537648,1.2575093380178657,1.285885159643508,1.322159202465427,1.3228460321679127,1.3698351135462028,1.4268493119098056,1.550761194088257,1.5778160409762572,1.4357067951836813,1.366047050165229,1.298389429515417,1.307942501595917,1.3089576233746492,1.3077034126120228,1.3004118418110013,1.286328256906633,1.3028494298994735,1.3379507326480462,1.3320987620309481,1.326260765404356,1.3654523081354646,1.5163500748350822,1.4179352796198748,1.4569436734899746,1.3959779143606978,1.4195099308932815,1.4268953548131962,1.5310010730024417,1.547209382704839,1.5811189247995638,1.9331240137166705,1.5689255941596256,1.8529579991636587,1.755606306528737,1.8700272880561843,1.9378554848424598,1.6658511019156186,1.6094503311001256,1.6374734817393592,1.7078631971413967,1.7038415175360646,1.5225488485642475,1.6348850532316141,2.2579898166408543,1.6174124076436327,1.5338364726952594,1.418256065236913,1.4685928012272926,1.471754028609597,1.3746918376160133,1.4257152651494744,1.3079479905357978,1.3498711335145692,1.4022358891316602,1.4819729990453654,1.7071405470131973,1.442295017165666,1.498087719299152,1.3321952927566931,1.558036056306505,1.353375616885443,1.3492810557735437,1.3844502058390402,1.4063410483719176,1.4063130642632105,1.4203321116207628,1.4607922093803436,1.5876220383342343,1.4662530388265664,1.4037461586944102,1.3742558219463483,1.401635003130948,1.3617379115073496,1.3378192090007792,1.3563078244365228,1.4759583595583396,1.3549959749622758,1.2525449144287246,1.2378240968102547,1.2436791842581418,1.2736400896187805,1.2451284291997717,1.2252757098490834,1.1809535579973136,1.2265047828684748,1.2400621480434775,1.2920585897236894,1.2405105334318642,1.4599751205209832,1.2169520285184225,1.2246275758201488,1.208609162075588,1.0458912533628706,1.086232610058992,1.0000776378302387,1.1302990351513997,1.1534639147448584,1.1693413760368518,1.096178123975977,1.0957997522083325,1.1565427247732702,1.2381375181781324,1.3643058561768147,1.2447930462048609,1.213582250658121,1.2049456255011326,1.1988217370654248,1.1846028485197566,1.1190574388467047,1.0721819016145784,1.204052191580094,1.1086360432951756,0.9924224690972381,1.1215165028661718,1.047870596200494,1.152387122328462,1.2248740507553502,1.2451250555475388,1.2433418787406114,1.1479677184400616,1.0382362548754624,0.9913594735067652,0.9792079387377842,1.122698230752529,1.3583883810588715,1.4910023941906976,1.3503817854021,1.3180057200824653,1.3679170507911675,1.4148332489478148,1.4422085607196538,1.3252210714772357,1.2438429731046288,1.246039524295692,1.1679260446837751,1.18499124688589,1.2577085113876527,1.3539144179871807,1.3014143293690026,1.1563669659803608,1.1827795084505226,1.2006235471665403,1.2067846391238801,1.2476540243291419,1.2992744766256161,1.3689085035075987,1.4130864113410406,1.518430276711005,1.4279146491260648,1.6879993312653099,1.5015534867518132,1.743160761177252,1.4881268429131487,1.3027848918072307,1.2750227151315803,1.333583219865981,1.390450591914261,1.3740609512472526,1.3734606530461295,1.3599046215359827,1.3305816929586265,1.3905886990590106,1.4095292746045962,1.4031530945067674,1.4416830505345968,1.3090273974565418,1.3637595004961538,1.4183287736125603,1.3945696914458467,1.501096884086773,1.5483010892221052,1.5483615409487788,1.6598912547654698,1.8256630233104698,2.030545270120626,1.5345919534057368,1.6766772546430004,1.5085790866954234,1.3662263271294464,1.3863594165254363,1.3385576992299415,1.241850894921786,1.0767013702367725,0.9921386427327507,1.0022131595565755,0.9218242352372689,0.8759326924502522,0.9263388825379436,0.9345046041824128,0.906450075849423,0.9392002376407197,0.9637231852682245,0.9105545509036613,0.9563795559690889,1.0072849787789937,1.0045857324273857,0.9827396358360687,1.0874685049621537,1.1974083157790343,1.2917319406064456,1.0926390733364695,1.2079902171408878,1.1243943222984452,1.1204407612941636,1.169089621234313,1.5372564623615423,1.313404626190479,1.4341810015117615,1.3006638626025036,1.2407961021682947,1.2105702260822733,1.3260295841740588,1.3715591326873064,1.2311690795969494,1.2600392432247516,1.462278295130894,1.338769273429512,1.2599301870452135,1.5072797455007587,1.623101672361069,1.3933809083542992,1.4429662979361093,1.1510919405925497,1.2572125621313013,1.1884784602007694,1.0857958826120009,1.1957215325559358,1.1337026170804503,1.2251206448532734,1.191533516127524,1.050089883402047,0.993926744681337,1.0242945668577697,0.9274966480596603,0.9296259518322058,0.9817988830154523,0.9076803450200756,0.9369044459900777,0.9242878021613479,1.0668793534412915,0.9630235787760121,0.9915482999165316,1.0249872049471784,1.0107019812405182,1.0498040861024964,1.0877705563747146,1.0811288436303346,1.018747698324463,1.0858716616759898,1.1646136525005946,1.1405029068756154,1.0987683873224794,1.2850342865352775,1.3865381769940492,1.2224718226497027,1.3129622846235278,1.6548083878101427,1.6927844533849374,1.4651152160213805,1.2155502638627498,2.150870653906035,1.6027276206345247,1.4273967659718108,1.3125621866642507,1.145323127382018,1.1797957741992902,1.4612489795933883,1.1919526742495477,1.1361086678535277,1.0082295308960534,0.9592063066256845,0.8704766090721893,0.8880170427245173,0.9333084418977392,0.8788046008852667,0.8873307797629606,0.8755852511776139,1.0079561595621813,0.9493706195318308,0.8480726488090058,0.8515331379281229,1.1789085382523241,0.8940408173242461,1.2642815689455433,0.9789136962151042,1.4678430666026103,1.4832080504694596,2.4478251905386306],[0.7336372413224459,0.7565867738156984,1.0094097125811108,0.574124099905883,0.7333300437436512,0.8394843524806841,0.788800987928115,0.791531358649967,0.7840623220718833,0.7430993175489601,0.7390155658377026,0.8066625738804164,0.7875156108381912,0.7038968923265542,0.797150379639451,0.8430576598258566,0.8432747832900237,0.8958911840453748,0.9348872661579272,1.0380474325019897,1.1135884302248462,1.2715520626196417,1.376662479235072,1.4453566960365571,1.309496257033825,1.1157784896793548,1.1133754446818602,0.9597615418339316,0.9466981815015453,0.9457597738722964,0.8947926274171328,0.9382294325590413,0.9565597266503458,0.9926652931995972,1.006193228990023,0.9935015522369245,1.0320515890625064,1.2054509250791936,1.159175344906102,1.3077970835345223,1.2884551817581866,1.2659535466658725,1.2649998764317107,1.3652646875681358,1.5086041424426866,1.6571452311529888,2.0002899687262286,1.4448554107576086,1.5212810512914843,1.5750901841851936,1.6653929417313804,1.6376242683088085,1.5299721782419453,1.4682456804683248,1.5996179112657891,1.4891313368720511,1.4781710118473077,1.309693119487373,1.4069572227271234,1.9482639640340453,1.3725614387186824,1.2691277979862308,1.156458334565337,1.2553217061807302,1.2762912316312105,1.1652005434375854,1.1333712323880845,0.9892490812263202,0.9337508769058431,0.9403310880432416,1.079408184052329,1.2617530970734052,0.9797636616063998,1.1091737017136925,1.0212663026659081,1.2791990030269413,1.034885406297706,1.0253465999380271,1.0971160631665144,1.1748852533924046,1.1877626525730982,1.2305783890898607,1.3040922726042479,1.430301932689816,1.293978831246739,1.166398699619978,1.1507609804658965,1.144619098623598,1.0633846728616998,1.0716379955659903,0.9866825677716627,1.1458555433633852,0.9917170586701334,0.8502779830448817,0.8199606582601884,0.7901143889705237,0.8733273013319196,0.8420856546172838,0.8391444363900593,0.8635453433231973,0.9263994613476298,1.008114503514066,1.0309670617581985,1.0180297598221304,1.2843945612335999,1.0127764847688923,1.071960810067961,1.1001918592095192,0.9083932961837932,0.9032004995555161,0.7997834928280646,0.8868885106262431,0.8377093987300399,0.83346948609352,0.7321446182753911,0.7360935901530913,0.8083032629126,0.8697688566189644,0.9848755083852992,0.8360542367068926,0.774348907686923,0.7572975572159042,0.7497278791729068,0.7247755758116228,0.6994695572299587,0.6887784885631463,0.9195288678696335,0.8951547625360263,0.8322289328418908,0.9865835597786519,0.9807281225117482,1.0637547449507718,1.1260120335754313,1.10871973729884,1.1040442706981592,0.9488011208588055,0.8870507775130395,0.8280820763417518,0.7290685819192619,0.8418444236541271,1.041022558519801,1.2716047456720905,1.056771537744675,0.9968438524676031,1.0968098277420792,1.0768067421003351,1.087777057616591,0.9892972661213778,0.9277765083807911,0.9002126663547071,0.8776985513119887,0.8399846324833715,0.9815505794513858,1.20565400226017,1.0298674148895806,0.8554156146813658,0.8576403655375447,0.916154139320231,0.9168203764133905,0.9777219066137016,1.0292305678944014,1.0830653585595527,1.1125333477045243,1.2162385571528724,1.264805913214076,1.497042899274995,1.478915591910738,1.845122182522094,1.6059692650849469,1.2983882199286056,1.1858575877763764,1.1306389263343246,1.1911341149192836,1.1297543378442783,1.1174758992732339,1.110245552985895,1.0660827126149408,1.1449413189933668,1.1501811189330964,1.1833839549992535,1.1797497635254366,1.1108633187956563,1.241078884387828,1.3522718300951055,1.3213743024598381,1.4262256783376017,1.4409263682067992,1.4880531248877458,1.689569479084635,1.8188708708527912,1.975215341745871,1.5409212161146393,1.6409651159312206,1.4535058325621064,1.3693388308386278,1.481883731116421,1.2036929521551314,1.0930556284766557,0.9539582007704983,0.9172719246739147,0.9217651656553836,0.8532759100634364,0.8115166143735478,0.8428476641485451,0.8707822527072366,0.824200032375932,0.8629089692407778,0.9117839141301352,0.8622894183288804,0.9002176661742287,0.9932561459091893,1.0137133727186005,0.9459697222319271,1.0617351641147983,1.2000324786585537,1.260875249843424,1.1592867320458555,1.254464148461564,1.137800944902642,1.1576376452678774,1.184748277018777,1.6289856181410765,1.321352687266376,1.372306633960444,1.2060494009270393,1.1586348837563811,1.1099244961777117,1.2511958974938608,1.2581282732271732,1.139643297803756,1.1573099023736069,1.3072404291722728,1.2209612993594647,1.1588686725213693,1.3944914208346577,1.5348114324199367,1.2697420451045345,1.3653886148381977,1.0349991139894357,1.162713225032926,1.077423543208364,0.9997261423805611,1.0680042018507825,1.0711518837855047,1.1333533279464683,1.1514714215361164,1.0267776332118437,0.9478382331016976,0.974614807837582,0.855707680822089,0.8619101131481067,0.8800606926990584,0.8284304814280831,0.9003137027727584,0.8718931464023219,0.9732297554089688,0.9528134581997715,1.0042105659989882,1.0318640724964852,0.9939087523631731,0.9894747234785057,1.0486405595019803,1.0672550470699558,0.9901813925353145,1.0216232659036895,1.1257091975093758,1.1178168776735384,1.0340689994346293,1.2021471662017575,1.3371777821235626,1.166651194943766,1.1932178424726287,1.5280675249770985,1.6284604924679342,1.418191338493864,1.213535802787546,2.1737527251945665,1.6718484194655219,1.529927914879958,1.3202598951452835,1.108302224526395,1.1013391916932036,1.362962926971997,1.1389554106021356,1.1266054670064092,0.8916572730817185,0.862051214858343,0.7663492475384903,0.8276497214201065,0.7913750201788925,0.7338597116185681,0.7636019173611327,0.7793946689619269,0.8309841214068614,0.7794580607813779,0.7536660606222394,0.7218495559328149,0.9694761674438932,0.7323391169516457,1.2484799678781722,1.0837614063651957,1.3208707971611862,1.8966799698414436,3.2754354352628248],[0.6095424723296072,0.6396609478523493,0.9227628484827951,0.5215966964218013,0.7177939913779188,0.8277758622348145,0.7815542269410488,0.7715648179448236,0.7928017497201567,0.7506176599595941,0.748412437793374,0.8088356737578346,0.7717069743916378,0.708476858039166,0.7931179604748676,0.8075444447833164,0.8243546935342195,0.8488485477067562,0.8762054300677767,0.9494715538821893,1.016488119251703,1.1414004836627023,1.2570478894580581,1.29635013171213,1.1843252013756165,1.0203594034722079,1.0157098788244376,0.8941794584593946,0.8916828791777094,0.8942693001141994,0.8545367740534224,0.8818920793731331,0.8883434718196214,0.9080854891085836,0.9269306564660976,0.9181508992197759,0.9601372059985349,1.113240824892336,1.0515779184871303,1.1828117803205527,1.1579747287951399,1.1525689071187806,1.1431977706818135,1.2352320967289825,1.3760587634385488,1.48764884320171,1.8499010687862354,1.314205449712722,1.4363041110087245,1.4509779818587603,1.513248311667413,1.5594593452444,1.3900936910577442,1.3532455245865656,1.4932134087452826,1.3459534098230672,1.3460885561675862,1.190787986578983,1.2723782677476507,1.8875795076301376,1.2636367787314002,1.1571736629370437,1.0367802430624307,1.1560879215065214,1.1484975724081077,1.047249891765735,1.0400082290019759,0.9039248029998834,0.888883030769357,0.9356058327799892,1.0548050388761114,1.2422610539735897,0.9740967524115312,1.0825881916460756,0.9310113066864656,1.2344352472166176,0.9336390627080967,0.9271351945612509,0.9910842904720921,1.0615463417487447,1.066019954013984,1.1086587560328685,1.1836748788664575,1.313483802651275,1.1958081124348499,1.0549035677287637,1.0298307673126614,1.0432971488369231,0.9684741884750994,0.9696925420198268,0.9168559536969224,1.1171759090875344,0.9651136918453778,0.8054264443515614,0.7951518180024015,0.7947043337067465,0.8496283409185157,0.7998854254600389,0.7999222357358257,0.8142760692390288,0.8678852513240998,0.9450537224435157,0.943495939180888,0.9516417722510986,1.2084812339375808,0.9407957795516747,0.9807926280341898,1.0063906589722174,0.8300829469967288,0.8523767325377719,0.7410222793661166,0.8404968891203447,0.8104731287235868,0.8159423179724948,0.7180663092359761,0.7098849684927684,0.7511482567226756,0.8348609720726499,0.9480134532914727,0.7941460539342778,0.7671135493317911,0.7724361760913439,0.7765408642568976,0.7547554260414655,0.7296097000157564,0.6938014057309583,0.9084487041893141,0.8608946938085785,0.7650313924116114,0.8964619556893599,0.9034492419740174,0.9669568723385812,1.02677544129695,1.0039313236757597,1.0086915161378764,0.8775193962200768,0.8210012064100679,0.8145387174856502,0.7179125370452759,0.7892290741527298,0.9793753457357671,1.236568826314367,0.9957330283184557,0.940582786690058,1.0082033413950375,1.021309978346831,1.0486584239447063,0.9614043482873548,0.8834965080370542,0.873141712742242,0.8475109863454784,0.8255534333009836,0.971458609986262,1.1902860815023368,1.011628463307251,0.8108548159202993,0.8194819979059434,0.8698237269954318,0.86111124902767,0.9201939941016787,0.9753165201971686,1.0131490889809538,1.0517899875411494,1.1297666888322586,1.1572572711990703,1.4022905211820644,1.3778865631281383,1.7473492017252636,1.5307332679246959,1.2153985195077572,1.1069997920138526,1.071109844129123,1.112215693522439,1.0418815110507593,1.0323340750898506,1.025537026807741,0.9863280236448418,1.0535612351090553,1.0626741862404931,1.0844175101727183,1.124219552640497,1.012423076226235,1.1215496335526878,1.2148408990093535,1.1902610419687865,1.3009650081979232,1.3236199239520368,1.3557647571561178,1.6028559881498181,1.712515275169573,1.887585456011707,1.3937302770886866,1.5241834337495774,1.3524042704343566,1.2630254965662482,1.401720229426415,1.1730355051211236,1.0539972330368808,0.9089014430166227,0.8825582894155797,0.8531612533987241,0.7757540600763883,0.7382989321521625,0.7605887488830516,0.7740079937920568,0.732967078571936,0.7696120200509144,0.7942735135431058,0.7556993879138744,0.815389792638783,0.8910698439756035,0.9075374766959163,0.8742076662783638,1.0176449230425046,1.1270337300975528,1.1725670276856532,1.0341663262430183,1.078785168167167,0.9765117610137258,0.9917284273259751,1.0181394289755827,1.5104306424843368,1.218716249697166,1.3025591028584043,1.1023928741816944,1.069379223602401,1.0169468619949193,1.1640617281152699,1.1838763467220743,1.0521745139307972,1.0858857950792211,1.2452236766206368,1.1633320566711132,1.1060504254182342,1.3463187687579024,1.5033064958214784,1.239388438555251,1.3585832212717979,0.9812602813014584,1.1192119997217385,1.007398145890756,0.9227834497433272,0.9916199146402739,0.9765971566875089,1.0667122991809097,1.0840091501677651,0.9572976118976406,0.866893863823624,0.8976223163987542,0.7709321105461359,0.773483205155657,0.8194166587629491,0.7457963797974907,0.7978244652929887,0.7813291131057618,0.9116528534688141,0.8457978981844287,0.880781939990856,0.9041827049957826,0.8659955675240448,0.8721446069765596,0.9327697750484911,0.9366269047010335,0.8672623015708772,0.9100701192422749,0.9926655447985685,0.9789818200004778,0.9286244256908617,1.0912595560969676,1.211017672031492,1.0245529270943514,1.1039677516622066,1.3974492451641496,1.4701820973273465,1.2480491833422418,1.0410856001469746,2.0162455558968797,1.4904204007259094,1.3222079867273584,1.16798612674815,0.9828693022041243,1.0265379271074386,1.272741538205631,1.0046063114714288,0.9274690612141433,0.7651265654985027,0.7703214123968973,0.6908130614475912,0.7705273978959852,0.7175063393013306,0.6530966954352881,0.68562033801447,0.6918937885969709,0.8055527746697912,0.7204194187754361,0.6305102823712273,0.6079329875184363,0.964562039591711,0.6572120930043159,1.1636274703546636,1.0477163178271691,1.2421418268403897,1.793030658663298,3.221955175277498],[0.5907454113888633,0.6197377653407544,0.9011102839508363,0.5184845703443183,0.7086218228912307,0.8460813735463407,0.8176824653405094,0.8011808982536636,0.8413665917620825,0.8006347771018705,0.7951734311414609,0.8513112977862427,0.8187802459808979,0.7678198632082699,0.8710596607779947,0.8693297152484825,0.8910705115451601,0.9153703989490122,0.971183533564833,0.9906933079527341,1.075267075579953,1.1710691610199664,1.3071772989324826,1.353047713476704,1.2034924173556272,1.0613999020912999,1.0133124208829565,0.9607575813431349,0.951906559024419,0.9416775992286939,0.9208113708175264,0.9183781380423867,0.9305248897397741,0.9572609395910823,0.9649883314561983,0.9643219347945007,1.0175859157713218,1.1794932473360136,1.1081800420375887,1.2091786738026784,1.1542196804756404,1.1679252968672533,1.1760108216325924,1.3084807226243738,1.3687804387128353,1.4303404526701815,1.8254452939933605,1.4038905656553033,1.6417521591183706,1.5938904096935163,1.6932257656948841,1.7430781348246038,1.4737107559417584,1.3966309628569034,1.45725754361825,1.4855284577715384,1.4726713547415475,1.2521396164795535,1.3855376548857896,2.087983424999289,1.3858467957509917,1.2716527728820606,1.1232623321464916,1.2111241399950345,1.2141567219471583,1.0955914815259,1.1153307413168847,0.964686519423536,0.9567491035901968,1.0270434041441985,1.0998691361753605,1.3106285645137405,1.0499625103858674,1.1426282779954409,0.9651663008991404,1.2914862863958518,1.000329438050771,0.9936237327812041,1.0530154726135976,1.121710416880075,1.1209408680636312,1.152715051540344,1.2031588879848087,1.3485976607016197,1.217125530094195,1.1058060825265124,1.071311898913005,1.0828727549283044,1.020441962626456,1.0116723958176665,0.9812447607665786,1.185530045898158,1.0391920704424082,0.8841040048014841,0.8697699145821188,0.8938217291098652,0.9280601103405087,0.8561201913526469,0.8398980028617066,0.8450736250012034,0.8785807746609656,0.9646756361945659,0.9751810563475676,0.9774947939106442,1.2199562492064537,0.9559190539549597,0.9986943391695834,1.026242659264583,0.8485731718116158,0.8672822716050492,0.7548072644966503,0.8523922106224996,0.8443190993799341,0.8514733334948943,0.7701774502349265,0.7700442599502193,0.8023702943156488,0.8972767873373529,1.0470685332314367,0.8663911473619057,0.8236071201667869,0.8510632889890848,0.8371545500282689,0.8239087884535355,0.7783140559142511,0.7354861176118246,0.9374710609688035,0.8689016609113488,0.7646130516017197,0.8925031584413093,0.8942251099353274,0.9726219155327528,1.0314069525184932,1.0125595529072924,1.00521940374783,0.8717098523669405,0.8137901020595257,0.7567259930654328,0.6987888061320338,0.7896489415925201,1.0251418848356446,1.2807156369553523,1.0610887642441615,0.9941089931461995,1.0545611255688752,1.0816689010161442,1.106287187744274,1.0044166336760314,0.9232102929635825,0.9208162119408476,0.87815722374524,0.8583403616448088,0.9866794518330013,1.2126621130840622,1.0479633359913525,0.8296910289996453,0.8466419837566138,0.8924192638029806,0.8866498764518889,0.9405295259188765,0.9984638963954349,1.047147375919855,1.1008990156307092,1.205834781475024,1.165830491583278,1.4555153254987836,1.3464462024069799,1.6796762652446033,1.4314469771820453,1.1471861790656777,1.0758910312216257,1.0767906640751477,1.1313956260066682,1.0783987897623892,1.0670206517711716,1.057632501171527,1.0240659773727026,1.0828696165805132,1.107699767486329,1.0934907013590647,1.1595949481998393,1.0414352451319566,1.1483484893525129,1.2440643080465263,1.2006007472678903,1.3083786068383922,1.3250702977057227,1.3827254963098645,1.5664263580308544,1.7103087392872607,1.9347426972292256,1.414018480257526,1.53817423863206,1.3489113207673895,1.2482996856517348,1.3786422367556335,1.1571705066009967,1.0608176397957123,0.9269328807436928,0.8781508575700612,0.8766773416695695,0.7952689069656098,0.7507325675200309,0.7897517609522643,0.8068707256500419,0.7595834332974777,0.7978689642769661,0.8230621955397303,0.7867265551467553,0.8376200981640031,0.9071348826121539,0.9242966844967657,0.8948488464337057,1.04976980984824,1.151576729113705,1.192641849465703,1.0575211248499357,1.102779526485474,1.0002062437191486,1.0187793874163744,1.0671556768614305,1.5971916762282563,1.2768339769938202,1.3402819534841122,1.1566617506239243,1.1297114633424201,1.0707487193498058,1.2314391079434075,1.253894525383624,1.109084571361569,1.1359366928652805,1.3163321649419373,1.225083267288126,1.1500109585099505,1.3961457466487928,1.5696391246991455,1.286937672709485,1.3721240942290636,1.0104955584554336,1.1255444923406208,1.0432991036261205,0.9596631192274819,1.031819209515645,1.0110799833833473,1.0889631297932556,1.0969673069816361,0.983675738917967,0.8882318160240934,0.9047661420292957,0.795284206598362,0.7966285884410623,0.8453828423161561,0.7725426006155923,0.8287876072515142,0.8012066170125889,0.92254684167564,0.8628814654884136,0.904189401410372,0.9339318303257027,0.9078792762379645,0.9083597122733935,0.9684847467265257,0.9826987080151197,0.9042867378909284,0.9502067099532527,1.0428808649936485,1.0200069942336192,0.9672736832255466,1.1448579572943811,1.260800238997791,1.0658167253910964,1.1511429603658052,1.4618372313981773,1.5190027738283247,1.281640381446719,1.0619837720519212,2.012804404042703,1.474220320850399,1.3366823776636552,1.1591407934955689,0.9989414042603085,1.043736808206806,1.2714367178774635,1.017730563155559,0.9391344820472148,0.7984007138035072,0.8046573537186676,0.7111017182144809,0.7751392398380723,0.7260116024007411,0.6836019285347229,0.7105003115458712,0.7198186250262739,0.8392974554774247,0.7502904472667263,0.6451457755594812,0.6181969420029285,0.9749042882684821,0.6562339818050069,1.1415216778806898,1.071661890927142,1.2905408276632568,1.7584948726970049,3.1948519630799157],[0.6085598701019145,0.6407375657369184,0.9431299003984719,0.5920204426792095,0.9009191030449376,0.8934985317393143,0.8582017587784471,0.8498255062581145,0.8498764334728262,0.8021597077057765,0.7851575311036167,0.8567724908097922,0.8419342045985735,0.777485822660232,0.8875891067417208,0.8922187957895117,0.9320066357266624,0.9676615309876424,1.0415340436410685,1.067163607045603,1.1576730655391736,1.268627828972231,1.4008037812329532,1.4477658983205555,1.2965260243821075,1.1447694306193792,1.1177666696225936,1.0330899108431353,1.0178874031111664,1.0102659457956213,0.970449439469546,0.984671714081906,0.9874261358026784,1.031691468763758,1.0521111846524351,1.0517861298578055,1.1176140900403733,1.2719218839005575,1.2240487312613901,1.3625627964560558,1.2957604251824308,1.2902471317764603,1.302835275001836,1.4300515503644105,1.4598374378228791,1.52972724203015,1.921745203560901,1.5354247036498518,1.775876200704155,1.7534373704806203,1.8422905372049145,1.8879702704707308,1.6353672109473767,1.5452384714423149,1.5926014862727067,1.6287619393206618,1.5947552046259361,1.3691726592611368,1.4994090772501212,2.193520801266117,1.4994322325918374,1.3717395457261852,1.210760156180243,1.2801550373601465,1.30870016548285,1.1825700894170352,1.187506748090318,1.0263587172097688,1.00734515630665,1.0673270090979743,1.1250729402637119,1.3121314293062478,1.078160095103125,1.1807543652380763,1.0146484696799896,1.314567689966314,1.0595310776833433,1.0586918109781611,1.1415110715308883,1.2110682814700513,1.2486504815345065,1.2954280883017668,1.3439181600031485,1.5305147062552986,1.3631556034769832,1.2336830579455944,1.1946509386680921,1.2041694031462349,1.107548218621302,1.0771075884525225,1.0473513452429295,1.234841325553581,1.0612019728264788,0.9179648516804103,0.8883804401852242,0.8901517984198328,0.8994087567827418,0.8865535834906265,0.8644658557255425,0.8726240295940948,0.9467754604475203,1.0520771913917724,1.0770185407226396,1.1180698758480891,1.364346385601435,1.1338230361277624,1.215615971418056,1.279734659917683,1.0601783311583644,1.0225416764172475,0.8836543153408916,0.9794545414861405,0.9083821802660701,0.9222141016053255,0.7842189960785498,0.793161903468882,0.8542253511706134,0.9600352002133989,1.108533917136953,0.9190785394881923,0.868859574063818,0.8729638760925339,0.8615038491273554,0.8382510718820967,0.8051690672884214,0.7939319532919288,1.0179094811099338,1.0074416371992398,0.9384606074309617,1.0881850585932455,1.104930613613168,1.2360314899683131,1.2816947104958643,1.2295719802466365,1.2125427805834001,1.0432310717666715,1.0028126355526836,0.892121741898416,0.7327875358484415,0.8771817435076262,1.1009576477002807,1.3906143537934692,1.1578349157143677,1.0838778912922697,1.161071362926029,1.1620443571982677,1.1753181601172376,1.0805552285753526,1.0109301696562754,0.9746515842412242,0.9502163302703328,0.9012766271840861,1.051551131791988,1.2399292937610416,1.0773961626641249,0.8839733476772423,0.8927706736977905,0.9821180521014296,0.9808734381544559,1.0825818855347091,1.1366816055869198,1.1593655870678377,1.2076328573798605,1.3144173880459529,1.2973166581281599,1.5630728066641382,1.5326511550486817,1.856480528083794,1.6600798527724765,1.3508689852972344,1.2811447474948063,1.2306553101075437,1.2902408767817886,1.2212632012282008,1.1963897926797464,1.1982840291549737,1.137613392890351,1.2099229156369145,1.226250383107037,1.2452129166045542,1.2731195081963302,1.2121662201361671,1.3495874381853463,1.4731354522491302,1.4199032904629216,1.4884838000915868,1.4939040621900945,1.543709869525122,1.6688169953192877,1.8665982162810941,2.0886783002772313,1.6060933303829845,1.7545641141460335,1.5755342441873783,1.4917633204149048,1.6060970528610778,1.3333799542226452,1.2726558772559016,1.176462192930781,1.0593935876074234,1.0992250785040845,0.9961128572343116,0.9373932745954118,0.9899191459786649,1.0064415925052617,0.8950758013230286,0.9055297477964394,0.97564354447601,0.93525188366402,0.9170804277166132,1.0028848903514629,1.0415838138579596,0.9704007835387036,1.0919533613987944,1.221887328498624,1.2217816509900923,1.2191401771839248,1.2349664867205383,1.1602789654013326,1.1971708967106132,1.3036488886549151,1.8189258580730958,1.5211186172016684,1.4635114871820412,1.3644629511755286,1.4153475833206897,1.3317009414508272,1.5623092539926156,1.5624749013197803,1.3985989282119773,1.448425527949059,1.6206559273387804,1.5372651352819418,1.4579972698683212,1.6339346383352804,1.8549911861119441,1.571794796035024,1.6486226134226865,1.2738644555327445,1.30092099637802,1.302587651974537,1.2072117461521645,1.2407285378413682,1.2307261672853114,1.24827041190552,1.2724574812056684,1.2197792703517294,1.0761643482780971,1.0384654514908225,0.973806246613031,0.9611675670736963,0.9717021511797898,0.9197859416237645,0.9958020889979017,0.9482821519715687,1.0375065772333374,0.9943698878673469,1.0500643250772357,1.0858568582485284,1.1015242731841912,1.1089032007456952,1.189984443373954,1.2106028824317314,1.0896571031898765,1.1688118854390601,1.2735652431551343,1.2255586830061629,1.1826053286664686,1.3984027886716277,1.5108487813834672,1.251822787474555,1.3763081368167733,1.6436150407683412,1.6679988822126233,1.4358454292985656,1.2265767491788409,2.1170585549619485,1.526479970886848,1.4797274587111349,1.217463614690025,1.0808763147667328,1.073313098355876,1.2505140167898185,1.0510838475588324,1.0383945572404831,0.9611536502792382,0.9752175612993089,0.9366303415553486,0.9680759989573035,0.9410312391249557,0.7607949486657996,0.8406477366985009,0.8708103289454389,0.9325989960613917,0.8107410521393255,0.7612317747879744,0.7375275173446494,1.0138173808378457,0.7236628346851839,1.2648632945700085,1.2526236875373642,1.3535799488903462,2.2784637838255475,3.910153797593699],[1.3224729748472939,1.2989240441688972,1.4754225626130535,1.5485702706889382,1.6670993676104622,1.8016713602822496,1.9360396521768521,1.8890444905834953,2.1548803949141644,2.2593169523187235,2.326461178052499,2.249550818830276,2.267146391234678,2.4484139490093364,2.5537938917967593,2.427316366134915,2.4916335622386456,2.597052292654867,2.7834649051800797,2.6340026756909807,2.799395333770145,2.749558238244208,2.965641003889323,2.995401734123955,2.7648095848403886,2.775401521634864,2.627800787413698,2.51446905971957,2.4679310494423596,2.351138813017722,2.561304503350799,2.309438989344656,2.378914055704452,2.4620642926193894,2.386754597021979,2.4727121835120265,2.28377667990901,2.434480544201044,2.348072606127902,2.268930214291743,2.406087517474466,2.6225461524293894,2.5123659454965126,2.5440784501265927,2.6149128487881685,2.4976493673908013,2.6962477378638297,2.4755806856284024,2.5433808721781785,2.4125277975270416,2.5037727075958793,2.418706611153161,2.338202759744529,2.357446398666891,2.346514822318095,2.4292629066687086,2.529571813066332,2.424190071138214,2.4958519162474957,2.965293933519993,2.6918027225994514,2.7373257927528205,2.6752960214048054,2.872110959380777,2.803252944735181,2.632428812586208,2.88044415138941,2.7384295374360788,2.8399583091264926,2.8379427081837427,2.8995351502086613,2.9946247900900276,2.9046816882438358,2.969684760646891,2.786228481941946,2.878261810383292,2.61713146043915,2.5641832382229963,2.508518047241932,2.4153755239460035,2.3175962175170413,2.2289031241205413,2.1313646940293696,2.273957205179304,2.1523179154529903,2.180596537167807,2.3462477527863728,2.351797119700327,2.4729345766740614,2.4767582852038146,2.6180846221767857,2.8912459546271574,2.7586119846089225,2.5514704445468346,2.5067379598402324,2.5892559544930376,2.5093626391233466,2.350459998719586,2.2156393212907415,2.027741542108097,2.0900303271204996,1.9023704255218246,1.9516315042306478,1.768489412688778,1.8075496709817844,1.574561702575694,1.4958248664026315,1.4712633931485017,1.325417199345938,1.4232329725980402,1.4240638650403004,1.6996035547073332,1.866691629655288,1.9771208819817137,2.146558604906841,2.247543354352712,2.4439937341960127,2.623318074227196,2.8787055190614828,2.6941652470291113,2.728729660875216,2.5721978355844435,2.5677522495878202,2.390238482353329,2.169991789484045,1.8940598807726516,1.8031505927401579,1.6792482700572566,1.3549607385223734,1.4173461330520416,1.2787297616980189,1.3567056388909222,1.4254736986317624,1.4662160637404897,1.5332985389940816,1.5974394399750793,1.410811396563621,1.578541472382295,1.8101838167562299,2.0430165151019852,2.597975681645629,2.812487445573025,2.5913880774327738,2.3761346570565247,2.3467651378263383,2.3569804578490188,2.354460119388618,2.217500699920388,1.990384236987478,2.007667590087129,1.7765093782576664,1.9172618740215461,1.8392248120306214,1.977857638688647,2.071753127989934,1.8998934924395074,2.0046160398412463,1.857298518756254,2.0295265710753125,1.8442037128528512,1.9587479709980065,2.1385082058860467,2.1525187395030967,2.1696556664135325,1.9096351127951419,2.215912075748817,1.9214547238526145,2.156485728530896,1.8178500508627267,1.8435632429311661,1.6969726531120306,1.9119306959803088,1.9003703744369995,1.8624273519625771,1.9304045852208895,1.8750688155535284,2.045015855298491,1.9221697342777053,1.9404208417831976,1.8276888697571267,1.7674482760309569,1.679243274594517,1.6396809122211415,1.7324798537389683,1.7891065977155276,2.0178599201987417,2.23213338318249,2.1103041699080007,2.2436087941719687,2.2372187831150447,2.325336514581913,1.9102286764003467,1.9168989764567461,1.7114733123113464,1.5789745434759748,1.7152247022679865,1.3656678655947259,1.36845011027372,1.3037199924865281,1.2007829461502442,1.2842036355190762,1.1941149026775018,1.1655979148985494,1.2136359061825808,1.2512926572805612,1.180137497584059,1.207567824846598,1.2701544873459532,1.2177163545808918,1.2695491111649808,1.3402269938604472,1.373654861143414,1.3407573464086453,1.4651239137328629,1.566409320392076,1.565827670173644,1.5424683665613779,1.670134818040413,1.5362315700433649,1.5898836938998528,1.7635634041796076,2.4198230653801467,2.084168555659455,2.042168465929602,1.8600424876338038,1.8391284077954717,1.6308169658616583,1.910170316779257,1.9777279467234707,1.7378599883924937,1.6856785979107325,2.02940085727091,1.9339128670001084,1.7245250206806462,1.9542599805409793,2.2898526932943564,1.9321962766427472,1.7782496429387211,1.4743081698311766,1.44308450515368,1.497259472960815,1.4186995388945645,1.3869528466057135,1.4741064526127676,1.4140499716118478,1.4438576841116486,1.4343582888092419,1.299217128330651,1.2770951091811538,1.2172165627674665,1.2108575929195606,1.2817071371579476,1.2263610310483022,1.2507857019545308,1.2427972703194081,1.4017595018564932,1.301861697762087,1.352733105539427,1.4010199895289737,1.4113605778629654,1.3775943608597538,1.5508449650909941,1.5985603343690407,1.4050291842322467,1.5114600069317536,1.7130540705127673,1.6268751625004139,1.5474395067638338,1.9064622801773095,1.9890853230545373,1.731805444767012,1.8176982991616055,2.294659290693239,2.2721104630001614,1.9767800608296437,1.6314463466234956,2.4610311405871075,1.958137788646225,1.9104797535845002,1.5589157933998967,1.4125339086906568,1.4266246555773718,1.5934205688465104,1.3780609960952157,1.3578290578702905,1.2283294790935102,1.249866410228466,1.18897307020006,1.1615030289169546,1.3741810573283537,1.1749966177900524,1.2167004113497377,1.2008101405177147,1.403304290528402,1.335392105522936,1.2230524939996334,1.2801762645065096,1.7142167900217913,1.447152807313929,1.733146848103399,1.4480160417187036,1.4198615085534307,2.2878121190329286,3.619476315332146],[0.9753253383463256,0.9796857986721318,1.1728209328107269,0.9519097742487862,1.1823111610118664,1.1677538652332866,1.1469372041495542,1.1216485835631924,1.1665780926704954,1.1160449184922385,1.1014011893278446,1.1709621108333605,1.1329918388895155,1.1052126757811322,1.1948728754772584,1.16062548813099,1.2090290998207571,1.2451388399794228,1.331224193684032,1.315230114527216,1.4066785846241723,1.4796281341652924,1.6078041870423727,1.6464692991846885,1.4889622374729143,1.3977522214880442,1.3321154594444522,1.2774014103397084,1.261714802981417,1.2582791484254365,1.2542247070804808,1.2242247391292624,1.2383324103474105,1.2772701787647485,1.3021408471761782,1.317310065430313,1.3472127592264598,1.5062894552769537,1.4528296843872424,1.5426896366165808,1.461514037192606,1.4791390512068225,1.5195930489236582,1.6588704269112826,1.6628615593128209,1.7335020965522037,2.088106244125041,1.7603662755805216,2.052087633921474,1.9786336285801687,2.1029573215071835,2.1264604122076696,1.842717668395752,1.7064794560643033,1.735101561946374,1.8527848311736657,1.8205515790503592,1.602192707431017,1.726528593918859,2.435163099448865,1.7293135668205473,1.5997355934474957,1.4617914107607464,1.4859355557910459,1.5252018068225122,1.4234290218449677,1.4598999489710456,1.2994679285019155,1.3111924882990875,1.3649765204085709,1.4159767428306744,1.548122514442598,1.3973638210148045,1.5479952931371226,1.3122255451425242,1.5729494065022753,1.34425724652806,1.3252001247072158,1.4027907019440475,1.505782097239741,1.4482632476432957,1.4802823294838823,1.5462227922374379,1.6697873300969364,1.5150661032434183,1.4468680966307128,1.4034333674857016,1.413510705908899,1.3714974446433053,1.3219867406942936,1.3352727141159983,1.5258675496543896,1.3597616164371789,1.2098052410480546,1.1709274404016878,1.2023140962430152,1.1748401877387833,1.1763054237520565,1.143527234603927,1.1230764336645427,1.182456762954113,1.298140522438572,1.281054829161148,1.3374806127783077,1.6212738472915054,1.3284735379331591,1.4018108674186798,1.48700850535974,1.2808272940271053,1.2477326966612148,1.1350925751572984,1.2115880581989615,1.1580606291558657,1.1886823669099327,1.059857846234002,1.0438559238750567,1.136167995752939,1.2340204233598921,1.3793579037014203,1.2149067869132928,1.204583663582845,1.1795981082049163,1.1800237137749385,1.164995922298533,1.1316027900170138,1.0870468677276972,1.263504966471591,1.2638575562689052,1.1730349467130352,1.289261040910097,1.3149038532604875,1.4440039676935472,1.481381260264101,1.4310389185976604,1.406682219931749,1.2565592219176955,1.2325759078427048,1.119914817171763,0.9277092250973693,1.1149192570882716,1.3294532573290045,1.5888266213514468,1.3994070798195306,1.3316950399487728,1.3920738254356082,1.4121921228815215,1.4331480374243506,1.3376025625653238,1.2523306038080888,1.2275166137471054,1.190864492567826,1.154225762675457,1.2510303270060512,1.393405242560956,1.28817310926355,1.125237006623856,1.1410344885937749,1.2184018761372206,1.2139281112625142,1.3051364155740985,1.353934965304935,1.3797036864754382,1.442833516120744,1.5290295851069757,1.503453443391247,1.7214666085093733,1.7517869161476773,2.069017210086601,1.8636482796612417,1.5625244050561762,1.4689416364704495,1.4375197227836451,1.4830719754794441,1.4161568301432574,1.3956110538358606,1.4039359579206643,1.3495422207702736,1.4044634794842454,1.4016779571709936,1.4468719588038028,1.4703834099223265,1.405368276065282,1.5269571377661442,1.6539695936682846,1.6068098201061962,1.639187829185886,1.659702993428793,1.6749949479830917,1.6974501442226748,2.0195274316645246,2.2806989452358857,1.7932236908016383,1.944646926826569,1.782768370706484,1.723124819628143,1.8669871312665054,1.4733911494104837,1.462191041785636,1.4072945301787891,1.2836615377619354,1.3386219579249563,1.2372329445688257,1.1692514934832543,1.2291993435874753,1.2443715883333395,1.122628280487967,1.1250152457998903,1.1878669476668011,1.1625473198201592,1.1275077600338925,1.1958988078988608,1.237064286247742,1.1740679119685977,1.2518902198041337,1.3725815744552892,1.3676245156802673,1.4030430761912962,1.4025722988224296,1.3513744484332557,1.3824120696222215,1.4848305602836078,2.035333387588923,1.7489332692195303,1.7091771477244864,1.6306189503849533,1.6899949977479658,1.5860973761241344,1.8411144399509942,1.844911518024821,1.6433023187086158,1.68913640751666,1.8935988991849586,1.8121845935006564,1.6987385839713054,1.8548315864557217,2.1217189695516074,1.8250532191492395,1.846489231984432,1.507028675148546,1.5047354603229084,1.5426189015841896,1.4516989966306186,1.432066540682346,1.4669725104972298,1.4520383757906654,1.4919417983025696,1.459389877904595,1.317226198090451,1.2837212896639758,1.2124492671768399,1.190187061893212,1.2007329984600634,1.152976983305452,1.2201559814430123,1.1722904782186798,1.2608917224844833,1.206743666368122,1.2548504031801977,1.274319268409646,1.3162587064206437,1.3123380539710365,1.4155711941647575,1.4351382425991475,1.3186508199117062,1.4048013069780507,1.5040574838744187,1.4418066875541942,1.4216316085398377,1.6395775377789998,1.7066967868131289,1.4633584393593309,1.5991989947687852,1.8741117638858398,1.82446613379279,1.6306243853336784,1.4006403213977894,2.1107689603118907,1.5838285539597494,1.6166344625144602,1.3377103487083837,1.2593494425921459,1.2320757239235425,1.3436130382933429,1.2074072055855243,1.2182266495319338,1.1890762314689556,1.207655432415501,1.1805158622756757,1.2013593196842909,1.1950863914988048,1.0068958452018948,1.0836140064747735,1.1184336523092528,1.1977462245187565,1.0682424302333358,1.0189086814941266,1.0280584909469355,1.241924903238579,1.027779298528319,1.5029689031967408,1.4706015354107103,1.4871759150247155,2.5950099876498003,4.330554335134509],[1.2679801438022693,1.2879565128901498,1.3272206634509518,1.2465040497543118,1.2484992912745863,1.4410540763674813,1.4413406880486486,1.4441130409711307,1.4806079717938723,1.5157873034215124,1.529485246767589,1.5347080089947134,1.5221770847209681,1.5282037806546107,1.5395568958147803,1.522964397488342,1.5384793259757414,1.5695438590903272,1.6125604158864086,1.5109398633631046,1.5381358430695324,1.5167463912022796,1.6329359649569437,1.6712061958240683,1.4923786778057817,1.5161874933511934,1.3972640534632945,1.5499251752723682,1.5455031419935972,1.5231101156902747,1.5377974041648763,1.5214663302172249,1.5406692379985578,1.539151428011109,1.5311038741820726,1.511273348251622,1.5493753436427684,1.653826550503033,1.556915767401982,1.4955972840502292,1.4430258744372744,1.4409566782493275,1.505118612894522,1.6392983008674893,1.6107660329505538,1.7139702564122734,2.002196082400404,1.7798960184145987,2.185954577878597,2.015730148097527,2.148264124630667,2.266197172781332,1.821263287362855,1.6520727414786387,1.6600788864163074,1.8767743026151498,1.851932105928431,1.631097651632873,1.789041275190883,2.5729750680454035,1.7911897761043314,1.6749429675048633,1.6003099814250537,1.567399004683955,1.58102981085621,1.5658238386633454,1.63544329080224,1.5531171907650911,1.658637867213698,1.70618659517273,1.8298393080053925,2.044242286894753,1.8174719526026037,1.9255649719989545,1.569227523554588,1.7987002754843,1.6034464439516078,1.5869901617907494,1.5878550134545097,1.6632227645820152,1.5368464859543192,1.5064299304545785,1.662279844472422,1.4858186322168547,1.5100727673300356,1.5584627552584354,1.494458379119013,1.4908799959225212,1.5517633538506892,1.5411100121397843,1.5777214536146178,1.635735069260878,1.581600423415748,1.5599561484394502,1.549765323468946,1.6171186050586441,1.6647796497252376,1.5457082420636488,1.5279327796099365,1.558001956552126,1.492709685444832,1.565465645625046,1.5114187085791586,1.5361887929266413,1.8000796705594009,1.5309813409879394,1.529025743827426,1.5715638074849247,1.5205752260919938,1.555505951657921,1.5259204668494026,1.4995464975380708,1.509012522347208,1.5297511356720626,1.5401769120533964,1.52576519231036,1.5074128658235846,1.5364798197194587,1.6451477021593206,1.5436276171358478,1.557866276545227,1.5894727297964992,1.575389546125686,1.5339276049977828,1.510889542130965,1.4889021785876133,1.5212053677887718,1.5061238310099971,1.5210268250156287,1.5333463536997651,1.5792464293739341,1.5811018081566137,1.5617704382932378,1.5485712566069816,1.5341087312746118,1.501755968312164,1.5239854409057165,1.5894738846209016,1.5646462440189406,1.4930226019968214,1.4906403953556555,1.6138921648795028,1.5989225261340825,1.5714360458057381,1.5751181020246106,1.6309193298365046,1.648983895323803,1.588093256729332,1.5162026221248146,1.5434391541747665,1.526374300213748,1.501168745061245,1.5526872807030523,1.9234276588429307,1.7171593129466804,1.5094600192803649,1.5061172959791773,1.5244508259192706,1.4875857496390872,1.5213387350687644,1.4972831712143662,1.553461568484844,1.6212508891040698,1.6494267734077628,1.617204893597898,1.8393876760163408,1.679927015933801,1.9233587980042008,1.7950946005155897,1.5762672720063233,1.5200781949162747,1.5496495929076053,1.5472932432114397,1.5390800190233018,1.536746473498767,1.5407472728806944,1.5268565751878906,1.559553999358787,1.5569340281571669,1.5519696490987829,1.659887851914453,1.5452635208039138,1.5918545200336245,1.627867874677044,1.5811803367889183,1.5348944964513076,1.5069306356119105,1.5831089950718464,1.616136211930509,1.8111230274795298,2.091519857643428,1.7440869317783783,1.8453152703730409,1.771755091716796,1.7648231158547372,1.9926960581779005,1.6891738507038123,1.6577466144152853,1.6236861321664888,1.6613028518214639,1.6138739017690802,1.5913069533193616,1.5690378509782268,1.5849981830991864,1.5890388968919116,1.587842564919011,1.6046907168029214,1.573390286795897,1.5613570657805975,1.5993743810638144,1.5780521197366815,1.5907119328849513,1.627560505090321,1.7276535945705234,1.7689097075550122,1.7766188222587567,1.647227814922307,1.6289922448903602,1.6055903279017778,1.6100365985838685,1.634294971459651,2.2191101115473213,1.845673632681473,1.9226325119076766,1.7891817977061562,1.78244863357681,1.718174226659178,1.8463172724749077,1.8667137728526906,1.7618648608866314,1.7274595374704953,1.872846609023594,1.826404822463209,1.7718557002485633,1.945082040511664,2.1161322251067802,1.870563123821763,1.901146199372148,1.6700929706803986,1.7801997180644262,1.6781098443391487,1.6654917707749721,1.6390510879827884,1.7182611256383737,1.7300950213110853,1.7697914948478575,1.7266764814104445,1.6731446484926276,1.727641986419104,1.608986944337336,1.5885736427742672,1.6348667763782725,1.5614486875474438,1.5676326889472638,1.540239806536572,1.519975253133918,1.5544053015812322,1.5799943156484422,1.6008145933319933,1.6113615463752364,1.5892885958268472,1.6527774975891425,1.6561288509394618,1.6192369864771756,1.6409936744113514,1.6777114147685894,1.6513174047884915,1.6559595953726491,1.7457327197951737,1.765288200753499,1.6868002620378877,1.762512671483138,1.962112370760048,1.9058120950355777,1.7893888661297175,1.6419399615296206,2.0826566677613743,1.7320951075299709,1.6989728959347936,1.6099029867670689,1.612264822126678,1.7060119533048177,1.7872525399540165,1.6650540641656628,1.5599979809184494,1.6043165757718234,1.6143000431312713,1.4637382890049029,1.586606311873961,1.425281652950392,1.5248812667203562,1.5515788834832616,1.5574333431223395,1.6185152520919972,1.5609476022513022,1.394991150661139,1.3248059409855253,1.5517216012263106,1.2852637010325363,1.3727403697837142,2.032764031558067,2.226051220752072,2.6930968884786957,4.533637099257014],[1.008288506545229,1.0056827957078014,1.0757863452851046,0.8638162282122633,0.8669001505975351,1.0248268079795606,0.9374123213071179,0.9266832250688846,0.9707271033250287,0.9145123686676828,0.913653642539111,0.9594108188301678,0.8880193626015541,0.8799419573614831,0.9315899341901547,0.9066702499378543,0.9140876743257965,0.9234861143161397,1.0004501076380432,0.8999811178097611,1.007003593901947,1.0525055622825619,1.2400578918340421,1.303607774394593,1.0766465182882106,0.9856862219460556,0.8758731197791934,0.9274429581800454,0.9247268095476965,0.9094098118497826,0.913960867025757,0.905261591868377,0.9229524613640827,0.906030582783203,0.9014504026501197,0.8802240763297701,0.9348769754351021,1.0932902997987821,0.9996006780803502,1.062732827539539,0.9931136387542038,0.9994942012279812,1.0372405528923998,1.1984298588682316,1.2607860255101342,1.359639556121356,1.7454172675902417,1.3749092986750882,1.6590537682075237,1.6094930424390372,1.6771340121840166,1.798498043445895,1.3943513660175253,1.254939732569941,1.2720625328971154,1.41621302687384,1.424811967149758,1.1207861581854217,1.3033573617967162,2.2054193326526583,1.3681786015087114,1.220594685029008,1.0514468846684066,1.10569474170666,1.1368064979146733,1.0133474701584364,1.1028592350231252,0.9188387940979429,1.0025256711292183,1.0935845139490286,1.15743527215675,1.399388020169006,1.1385185168552625,1.2329692841478408,0.9103638373199602,1.3012590804371422,0.9522313029991618,0.9466420890035552,0.9631809085570064,1.0226342082848872,0.9786737747216588,0.997583258195148,1.183321149918105,1.1280398649381556,1.110259568505197,0.9958226731648885,0.9345216026378586,0.9145413315681041,0.9094029463645034,0.9118569187158395,0.9228016864749543,1.1099081151178303,1.011231741593437,0.9259086262206341,0.9267799736439449,0.999723790066855,1.0529063217630106,0.8992059636290052,0.8828737917597553,0.945106317349091,0.8821290876047695,1.0025461946536935,0.9398041176424483,1.0070377268158102,1.2474090800974498,1.0285882537773583,1.0997787635241905,1.134423065650376,1.0413434206350975,1.0632627945447923,0.9587784247131962,0.9439920679753004,0.9360272511809792,0.9251226587748617,0.8855026575046646,0.854860381608916,0.826102732838951,0.9086406430539081,1.0970833640479571,0.9117813814287412,0.942139001863516,0.9672097237575055,0.9428902811381533,0.8972615862093263,0.900544120326298,0.8589827767780529,1.0461117853303041,0.9938066433209721,0.9623393988363167,0.9964055440302219,1.0918661015478575,1.1331189072907781,1.1246294412991724,1.073896216286874,1.061529772449509,0.9528874314413993,0.9880993946544038,0.9207826656943422,0.8288117994160656,0.8035572734217062,0.9413251543408331,1.1988448842569976,1.0576933264200512,0.9718707788207014,1.0055155634734956,1.043884316157116,1.0575998579996966,0.994495004172031,0.9264645725813121,0.9809276284743984,0.9827613145586475,0.9872659105127237,1.1427648054701207,1.5514715019056893,1.2434489326313345,0.9406822672539588,0.902360114581532,0.9500381572621841,0.8835549546822015,0.9559502043660465,0.9683244341510604,1.0097499368653056,1.0856068727902446,1.151321505806415,1.1224070458504827,1.4473920428071485,1.3249749903250847,1.6835340259295546,1.5412000724392307,1.2099670655219454,1.135538075883339,1.0788855731348514,1.1079858385888888,1.036952338538193,1.0216466131938036,1.0269527925355413,0.9900079928580027,1.0450537592347457,1.075626987137224,1.0411498934421806,1.1526623560189733,1.040972983102638,1.152167120354941,1.2206781750499813,1.1550422749831828,1.188579302985389,1.1692157266930199,1.2533596997290581,1.4843025585357434,1.6372140680507297,1.9003771830876754,1.3764291663933204,1.5635588004049785,1.4318532817494056,1.393963520505408,1.6085190516257102,1.3015370357099494,1.2470560756746598,1.210244578957535,1.19863679720755,1.2162458468120638,1.1538898077126831,1.101420664828289,1.1913439942432695,1.2228423735891953,1.1894607306136573,1.2335512793347543,1.2790938183384837,1.2633115991042272,1.2860953528751824,1.33935019945349,1.3989518979483948,1.3946845060678401,1.5084237916280019,1.646869890807701,1.6298558274169777,1.5440900016969288,1.50224693483892,1.4272835440993303,1.4624922325249612,1.4892601464208541,2.0824734215640746,1.7224981408250786,1.7300618683014526,1.533839789102516,1.5038621865644748,1.3830482277337235,1.5244390817946079,1.6077072469602542,1.4456312235359408,1.3907900940898124,1.5777800946336402,1.5446070417738578,1.4358405477660774,1.6040996660732436,1.8494552149219101,1.5853136593215917,1.5859395559870473,1.3109466379581802,1.3637817844579425,1.2739365250122123,1.2603427669979987,1.2147951791962877,1.3306990168289985,1.296584913680082,1.317264752460695,1.3713853326490415,1.2658315192662708,1.256276663951166,1.2207205334884987,1.237503403764712,1.2746216260454926,1.2290590542163242,1.2978652976143417,1.2949042312561176,1.3176731813535265,1.352503553509096,1.394044826378029,1.3955571284125459,1.3690743601119542,1.2820790255775785,1.3711897374848578,1.4433020907719563,1.3578998090546666,1.3523826545497788,1.4555221844498982,1.4381194023852633,1.3709986154742553,1.5081392881052895,1.6067461071350544,1.4592983209752242,1.4969335713691296,1.707388316426444,1.7213120472348007,1.5754269834047108,1.4299350214636437,1.9349644054645676,1.5932044530696783,1.595512047171833,1.4312248650002553,1.3760315464493809,1.4226099375992254,1.5282055877021605,1.3576814117519123,1.2920020765780689,1.2630367633562578,1.2659891795459555,1.0370816008368884,1.1075567047448744,0.9123587399221783,1.0262434493484314,1.0272310890740386,1.1045838974076372,1.1348686995723005,1.0477801759236303,1.0028121790347693,0.946290070034121,1.1471870964544013,0.9413022220998536,1.2634438783856834,1.802371053901388,1.9606249036513157,2.6459958129713614,4.514454588417986],[0.8103310367210793,0.8273575799495557,0.9549138483407701,0.7456464638914098,0.8231836386048368,0.942008736875355,0.8668273117845259,0.845918057796791,0.9510968786354793,0.8959550235422673,0.9111293746784868,0.9515311443721851,0.8777367334300648,0.9147357576391026,1.0026592514257522,0.9383815339646637,0.9594121484784517,0.9933008017940151,1.1033828918025743,0.975561572507408,1.1080421612454963,1.1267527029088338,1.3432467149482386,1.3828569214924176,1.1483549696538369,1.0796971453129556,0.9404409416570056,0.9778830249974517,0.9657757135839917,0.9172611411661774,0.9981618445554289,0.9063183151399808,0.9532669219896691,0.9495163056682819,0.9310025741544471,0.9405102237957098,0.9388463382906418,1.1162362809084694,1.0163295514943338,1.0673732819350508,1.0251397189567306,1.0595876654217586,1.0953139764635282,1.248460184966327,1.3207120771999397,1.421337685899815,1.773161460314486,1.416841629380639,1.6755361619367288,1.6340424361318364,1.668361430886271,1.8228856658315273,1.4061325663457074,1.2553875699326966,1.2640156442238673,1.4314718209683837,1.4510466497016716,1.1416438523690289,1.325596506301317,2.277879154842167,1.4348778861045524,1.309904156724521,1.139142057009843,1.2203774000774517,1.2319628490011085,1.0913829229320968,1.2191261037241032,1.0289664477469442,1.13146207155996,1.2070261666063609,1.227184100926168,1.447832533996056,1.2286600663481049,1.3646277224043843,1.0087712997098308,1.4457064078928243,1.0306650933397248,1.022777366454888,1.0200328053726981,1.086257845439262,0.9901689923593096,0.9878895377463222,1.1582150607902197,1.1136003636903224,1.0879098519367905,0.9786396852171383,0.9602189989194915,0.9309460375395838,0.9687926428909774,0.9720528690645872,1.0194640221559976,1.2895257661614568,1.1686744912684195,1.00942622591208,0.9899925627734171,1.0845047486345663,1.0811517996789453,0.9256172084873302,0.8692134882210846,0.9018252336699639,0.8401309728106592,0.9216576619014261,0.8693375435990558,0.909079801242993,1.1330940157603366,0.9032731168599226,0.9686889396175309,1.0203837190767675,0.9013222919762013,0.9356999802174033,0.7918352810734447,0.8245106149267417,0.8336267063905282,0.852249000897722,0.848152702150824,0.8240521607151626,0.8665397801370773,0.9783790691879173,1.2055587582255596,1.0041064696145146,1.0376664281924417,1.0106507610675388,0.9741005371647253,0.9128530524837595,0.8799057291759512,0.7767863597213529,0.9485680989576504,0.8944126258019921,0.8011800336142986,0.8622490812838784,0.9397281231761835,0.9945540684509135,1.003541812340386,0.9493155056934839,0.9543781245477069,0.854099555548475,0.8827711489223604,0.7917366060252652,0.694715214211787,0.7447716765641014,0.9923146482335277,1.2722151954927396,1.1243432674290081,1.0016747700646431,1.037970825849367,1.0643945733645113,1.0565530291557987,0.9725216961974491,0.8707053799615554,0.9233829146079251,0.8786672950433265,0.9180396688889423,1.067579691617931,1.5308266670546453,1.2144254836685113,0.8590332406561165,0.8414503452964244,0.8587559763611959,0.8288317723312029,0.8589448499543765,0.9108627506651356,0.9867658498438686,1.0711355900005304,1.1353292107742403,1.0739516336230126,1.3871165566875507,1.304211627796034,1.6969250687313648,1.5295041348633038,1.2056157550881619,1.0921953120592294,1.0339841038501734,1.0616412346215378,0.9701439964001692,0.9625325354091312,0.9513942449746322,0.9515740869229771,0.9764533703605824,1.0086235848218679,0.9533420535103873,1.0744475861301845,0.9423507611675612,1.0463996039458239,1.1240176661153598,1.0815192114852907,1.145172544233777,1.1621845617227855,1.210170110852199,1.464068236687057,1.6127099847699968,1.8745580861773274,1.3351556152505157,1.5166826047423014,1.365319493189562,1.2941310849975607,1.4999961587923198,1.1822102388175366,1.1303649187076756,1.0952335330418084,1.0445274516946483,1.0877864653854246,0.9996620610091568,0.9342580081212348,1.053750488704576,1.0920227009480057,1.022348239220982,1.069679602655277,1.1585160006552613,1.143312187070695,1.1475142878992204,1.228892994026838,1.3145182125152561,1.2993096998123281,1.396001084058769,1.5841673609069393,1.5412740734779469,1.5165155867890305,1.4580294275275996,1.3650712615192586,1.4245671095778722,1.4869458933522948,2.074044485714387,1.7449798230910485,1.7217991504075725,1.4842215059142279,1.453936754003733,1.288858498456805,1.474236873580794,1.607793183392109,1.3693844540427154,1.3245909263662765,1.5262805300836422,1.5075302643520867,1.380481720745787,1.5317901413745143,1.81961987080611,1.5532407679958515,1.5297925458461297,1.2299137149780732,1.2238860932210587,1.1571456618545386,1.132652558513533,1.0876968813443026,1.206558431124838,1.1588139478436081,1.1777372621287017,1.2457599217774755,1.121293301638387,1.0823810988192952,1.0901781669664543,1.124694862986954,1.1682471515328563,1.1177678497832533,1.1994228956674278,1.2140875655113472,1.2675801569394551,1.273665084448473,1.3250022496634044,1.3171595906127216,1.2906212216230144,1.1828379411601146,1.2891260891592402,1.3897341972517308,1.261534044635933,1.260874658382152,1.4103618320106022,1.3845702790940855,1.2971627438959072,1.46217173844692,1.619660283907242,1.4027748091059615,1.4503438598441523,1.6804855021765608,1.7289711505739866,1.5523107868276074,1.3744134461166142,1.9035858070696734,1.5628444587365344,1.5787229002270113,1.3465229275456634,1.2730735160273292,1.2611572934908004,1.3536701449239013,1.196597891150732,1.205426116239135,1.1404646494768889,1.1420859242535353,0.931338027116212,0.9439177821165241,0.7882743370486573,0.8322203015404691,0.8382969705471062,0.9306027091689795,1.028887714963028,0.8483893711004218,0.8155520358707703,0.7754352061173962,1.0320024254482203,0.8008927262922592,1.1970459091216337,1.713895919446231,1.8155697311905494,2.6600546231795725,4.5889189822594805],[0.8052621332758954,0.8236234560031607,0.931042194890721,0.7994891828412872,0.87976381694727,1.0113695315095361,0.9423189043127297,0.935697211859294,1.0357498481415672,0.9912843552222426,1.0065389132527849,1.0472337181785891,0.9949649512921604,1.024991915044302,1.0988580466904119,1.0417307097471709,1.0719220006059393,1.1086116296061317,1.226382877192163,1.0945296647327478,1.2130429010435355,1.2023018128796903,1.4180906256827321,1.4434634199350924,1.2143031644864377,1.1724061911698718,1.058051420380481,1.0860950486618712,1.0697880386830532,1.0147270711478031,1.1061781669893427,0.9947628325810995,1.0586625834791785,1.0514262381802089,1.0341884273856967,1.0588707295312618,1.028655307478422,1.165916695203238,1.0822804025944461,1.1007774766520764,1.1130248733000379,1.1430742439858834,1.1671967405533952,1.313206344661314,1.4375425079975832,1.5452131609998836,1.8799213347249786,1.4903074820638587,1.6569912364356223,1.6589288612270257,1.6424342298955201,1.8444395672354557,1.4274426029160807,1.2666660725586099,1.2783763451167025,1.4387967443652598,1.480355534668387,1.1824185098845093,1.3428996979043908,2.3184122267192113,1.4934292791159927,1.3858126237359432,1.2348613065836926,1.3179725201384453,1.317615010163531,1.1905709497018835,1.3336520191235175,1.1563342488813653,1.2584448881643338,1.322680814501256,1.3355087336129101,1.5253781685213272,1.3371399850932089,1.4880499728276466,1.1243008259782366,1.5078737330161682,1.1478378559942524,1.142959363523009,1.1279256132599147,1.1770365188190028,1.077677668574159,1.0549059369590887,1.1952768757167664,1.120293491776319,1.1047436372448456,1.0405557574729891,1.0397167422688383,1.0462058581771172,1.079770834521718,1.0766017439271478,1.1453278567226641,1.3963870056020964,1.2733567963898529,1.1234241873964321,1.0970170783276445,1.1868920645392544,1.154513682619134,1.033237758812564,0.9729915165739192,1.003184602589345,0.9389394788961233,0.986579952289987,0.9325838984777441,0.9483611385276108,1.11130369979122,0.9029682712544694,0.9551988307694497,0.9613111720944454,0.8679368221358923,0.9594618194017236,0.8128723331852449,0.8660440729480682,0.9119042700309004,0.9480976432372605,0.964524214959866,0.9610782353836664,1.004939233413817,1.0985245841783964,1.3117796862971562,1.1213143052456787,1.14718580723204,1.134374328449885,1.0992822431800788,1.0246781792418034,0.9873499637253806,0.8800282668873626,0.9832833411768658,0.9289191096422786,0.7874082665121634,0.8325254484257086,0.8529206458423922,0.87929716559501,0.9274460318289867,0.9257017381553011,0.9408403489310926,0.8951886341349903,0.8954819545146931,0.8656545407536304,0.8116038700153447,0.8522537661914575,1.112146064467634,1.3625806640428868,1.2150029002701601,1.0893764500334038,1.1085411918522594,1.1411985920983376,1.1216765194886689,1.0550467607121443,0.9532726281040234,1.006771989860587,0.9333072733467005,1.005276448751216,1.1478779888990258,1.5833268449250908,1.2555704196211073,0.9444122447144867,0.9288856950786167,0.9305957488984916,0.9188384502685679,0.8968725576982157,0.957421042055948,1.0479609880486673,1.1296772107598092,1.1690408558405543,1.0986649780700646,1.3769449771788052,1.2777879659585012,1.6694507402081038,1.5094562690440343,1.232102784221177,1.1054735775405966,1.0599790354055323,1.0767005480255014,1.0021500504301328,0.9968412573977251,0.9805459442110583,1.0066440241200354,1.0064380657654948,1.0358762354501532,0.9690815041343579,1.1260814475022394,0.9295483851674128,0.9780609189643984,1.0266915476196532,1.024847611465564,1.09845045272124,1.167030879471214,1.1590804773770855,1.4745699618126382,1.5590283203540962,1.7993661895921274,1.2519216469489995,1.4281791892211886,1.2794617781663769,1.143356919757839,1.2686993601174466,1.0681590450854457,0.9758016638144013,0.951964027478427,0.8915391577591594,0.9260704174525227,0.8654700858291633,0.8188876443812025,0.9141300021742327,0.9577869513672357,0.9152249217181709,0.9486773919797167,1.0407471484370312,1.0577729473126734,1.0902210136668222,1.1645922216223117,1.2607467535164794,1.2726528653722384,1.356205893956779,1.5417106406636139,1.4934029315985506,1.439917803589405,1.3514611565193606,1.2480857960124685,1.3204613480242826,1.3375689720245516,1.8848942113331772,1.58227222071691,1.6240030793723401,1.3215647979438165,1.2744578048444322,1.108258366577367,1.2381768945171736,1.4207853710774079,1.169561153331669,1.1232006275790585,1.309875707054952,1.3073553271125513,1.1883205416444997,1.3392789325718115,1.6223856452312102,1.3687029168166485,1.4117514602229242,1.0701259258861058,1.0358105921109029,0.9667447833151944,0.9401089341968539,0.9347570396030453,1.0665479236956648,1.0681986339783636,1.0655478123737134,1.1147491145932018,1.0057016571614312,0.9727299034511179,0.9945217431815891,1.0580415268274155,1.1398743062887229,1.0737815503910737,1.1358478124595481,1.1961829055143278,1.27862813302996,1.233151033104469,1.2684894948320988,1.2290761636153225,1.1751250997286071,1.0559342787114234,1.1334385928276656,1.2514465643358097,1.1286222533894936,1.0993048332804611,1.2463713095228197,1.2404359003493428,1.1305816294495903,1.2646546874562332,1.4429596160175615,1.2340257870023332,1.2803638495280014,1.4786960927635542,1.561649717015498,1.3850145701389682,1.2361240357268712,1.8169386428387704,1.4548045520692225,1.484884742057606,1.2661382812666322,1.1788188489546452,1.1885596473094318,1.2562293558603996,1.0737641654740406,1.0913717168528985,1.0167798341464664,1.0130199054258338,0.8696580782999395,0.822970959496991,0.7939825979098455,0.8034116680257131,0.8018934862003212,0.85859096454245,1.0699849399448123,0.8476255233749908,0.7756064585867762,0.764936363752781,1.0616293582302967,0.8165792610719866,1.1589665094523467,1.604484219171497,1.6636583141476335,2.4052234233240495,4.297521866255379],[0.9390846749243122,0.9196292002709969,0.9475267474142454,0.7968519515239011,0.8539317303967134,0.9554860370701977,0.882160697346385,0.8825654123432419,0.9918041907435533,0.9345226754309734,0.9723536282107054,0.9974043655236186,0.9083731201073516,0.9710496919774829,1.0340020619325823,0.952848648549452,0.9796888729542123,1.0241624153973001,1.147106812006459,0.9881694626629998,1.1242156089597681,1.1054271994053304,1.3413005174475996,1.3706809608816433,1.144561562389023,1.08784044766171,0.9458139116824067,0.95583968439749,0.9460327978761539,0.9067932646394423,1.0122207907995262,0.8874202636468469,0.9568478842045479,0.9512739291608733,0.9117049512599383,0.946765288889211,0.8876486190082105,1.0306986208417288,0.9279454105872057,0.964496723183135,0.9893968338405972,1.0319375379505156,1.0436857420720875,1.1923470860142846,1.3410123595351564,1.4362626647078076,1.7927080381285885,1.3716450564532576,1.5038100734762074,1.537425343908745,1.516121630625701,1.664133934365659,1.285239037339422,1.1496132228975389,1.2010560326272557,1.2834376767772966,1.3458721086869698,1.047507255489915,1.1813978610581057,2.1553571721386295,1.3730431132621737,1.2713977746807998,1.1210622432095625,1.261784949642056,1.2205969529298855,1.0891586779510827,1.26517700130401,1.0841076001902548,1.215111774897563,1.2922213308866606,1.3306383288703945,1.5467292363320957,1.3403462173766638,1.494489537993118,1.079530646547094,1.4315775648876439,1.0504735749714544,1.0341593464835257,0.9946247296381518,1.0421413329812765,0.9384082050731296,0.9115702869747969,1.0889413114447664,1.004786303657623,0.976151114756949,0.8771666182635928,0.8992390790156205,0.9228075839311517,0.9527790906128046,0.9432368117808694,1.0587000308202599,1.3222003653097028,1.2006643559704093,1.0573322131276628,1.0295026087060906,1.1413083156464294,1.1100943092676663,0.9580885260510406,0.9098914181550822,0.9527441787087284,0.8507809040963185,0.894690306785584,0.7917494204573367,0.8466668323253987,1.0620554703508578,0.847686947322226,0.9460736546634111,0.9624057193181359,0.8960939174170135,0.9443480766239831,0.81006491242495,0.783420577880741,0.8133995539070369,0.8286918492222898,0.8621415479689226,0.8644531694043031,0.9113676522824968,1.009651181496468,1.2384189854655405,1.0540386472520138,1.1050819232284343,1.086136882818328,1.039344243203452,0.9262745611978871,0.8795746681467148,0.754539420030835,0.8938450253857554,0.86164717343925,0.7897339236081076,0.8276896297119706,0.9149806207041967,0.9536561316865702,0.9400441433952074,0.8967063577489714,0.8952045423628375,0.8090056723272516,0.8435782797213855,0.7964497621866028,0.7415656194841939,0.764776531839155,1.0144840068213814,1.3041930773706623,1.0958258739140676,0.9456827055656312,0.9540391649159075,0.9960066767741955,0.9782559135172645,0.9122521655544462,0.8160829079688791,0.8883928754498364,0.8553180952451723,0.9370769706276184,1.107857975370735,1.6308966210592089,1.245534255663013,0.8982543458442127,0.850889960366088,0.8451802661780888,0.793030094392485,0.794900005592297,0.8199200841659614,0.8982730135867334,0.9824019128527235,1.0182210340802935,1.0207662051721156,1.2641149081260143,1.2674508075644457,1.697775026680798,1.540653430268741,1.1961959011421592,1.0531247840713522,0.9550341920953792,0.9672053592711751,0.8696778849438094,0.8592929827576195,0.8489077015310997,0.8539353733466407,0.8716491888767915,0.9004469470332734,0.8611016122098065,1.0379982260936278,0.8438791840749734,0.9498344876571146,1.040488397490921,0.992189815321937,1.0588921560418831,1.0771451697509764,1.1298189069121878,1.4642861689249622,1.5732224860128994,1.8158958075670593,1.233332726761405,1.4436159936028368,1.3042517225985388,1.2273869792958576,1.444624867246325,1.176454543141081,1.1242425572959798,1.1256738202896808,1.078129158229864,1.138679457837335,1.0622610644999937,0.9878444301348699,1.1153605374148419,1.1748045456574732,1.0988403501350767,1.1267676179946002,1.2486461795086037,1.2530945758030416,1.2361270179725212,1.3301311433757024,1.4485850751374882,1.4209323352126575,1.5219914756459052,1.7010995344147442,1.6471987158403631,1.6904443674001663,1.6079092615361341,1.49799372199604,1.579347159335117,1.654481639966837,2.2205684147940548,1.9173927186423059,1.8861196550142747,1.6110453200420642,1.5757574475338236,1.36765506598315,1.5568255164975513,1.7269580877274056,1.4436623655089444,1.398237501815019,1.5966510395754656,1.5883041923818724,1.4387645661056712,1.5442266522112722,1.8794524523922673,1.6278687692612195,1.5660700637202156,1.2755756050499314,1.226954365444236,1.1762340865541314,1.180318189315106,1.1362207027589335,1.315400271677299,1.2076326781335665,1.2216306500387974,1.333027442493672,1.2245610281415922,1.149828340245906,1.202265708682122,1.2573602457418882,1.3000351230046723,1.2432077949643654,1.3445218161342984,1.369957423661396,1.3942801862237226,1.4076604240858035,1.4784914032384244,1.4614960106469825,1.437174225058852,1.3033926066301507,1.409610859338308,1.530358769217177,1.375498859179521,1.3642995157989717,1.5302153504908553,1.504763741952489,1.3882157794916559,1.556240795617918,1.7582796734279484,1.503910573354867,1.5435289061200574,1.777902716637235,1.8381465185055532,1.6747063388561136,1.4837743681333562,1.9422309935082398,1.6616675925130453,1.7350150577362922,1.4301855774149363,1.3469492111234767,1.312096885158638,1.3657450768136101,1.2250742635878284,1.2850907904078765,1.1939885128057603,1.207243449221883,0.9858931810079489,0.9800014088426334,0.8297785732051383,0.9276702193731833,0.9225790715032564,1.0095727886509296,1.1730795709215314,0.9425541553950262,0.9184627825090425,0.8754566998100491,1.1330788222346562,0.8598289367768216,1.233748879855862,1.963255927801923,2.1314235135281003,3.0976156027108246,5.213997968580821],[0.7740361938698491,0.778244699778157,0.8743113274333328,0.6265062357006568,0.8271520720386544,0.7793120070188467,0.7278317652973342,0.7180010408022816,0.7540423394749645,0.6866418361336143,0.691413207317791,0.7490179598055476,0.689793628929211,0.7090361239957422,0.7997309891748929,0.7612639866573163,0.8060775674069423,0.8471390336331999,0.9710718776844198,0.9116194894081612,1.0517073846750828,1.130685653462032,1.3279781836123925,1.3858381886588722,1.186548337391976,1.0544078368409955,0.9635732571810829,0.8790239112697765,0.8494323396733459,0.7966226115945931,0.825495537668639,0.7630647377816491,0.779066733304435,0.7974181234274433,0.8037172807514532,0.833601293463074,0.8394945505455873,1.022557251868389,0.9779221882805459,1.107211971832882,1.101394438674323,1.1143798865992993,1.119950665162555,1.253919552774759,1.382790237584494,1.4641317951522916,1.8181021584621098,1.3981490278865791,1.5595013597154803,1.6082723199213154,1.6255437436955298,1.6946040337431705,1.3833366358080545,1.29573721531632,1.3620389967139162,1.3652171856675377,1.3946109782720146,1.1157770694709017,1.2387264678521495,2.112923203681022,1.351384908488209,1.2202865037812791,1.0426100316879654,1.1590816011397849,1.1850283181951993,1.0316460116941306,1.1090952193201766,0.9042064685539458,0.9821173763797919,1.0399558155136526,1.0850242466439834,1.2951694030569143,1.0631014895773465,1.201595711698723,0.887790254285996,1.3216758525904553,0.9069085294472203,0.8867426460655344,0.9074506415854995,0.9848016953245623,0.9432423753530752,1.00300662206558,1.141640421746842,1.1869361474539748,1.1396422978435012,0.9426770533631383,0.9312236002136036,0.9096296339878696,0.8744987187547262,0.8530893154802631,0.8674502830130592,1.1623073230259917,0.9973360085003438,0.8039027315072226,0.7821551989881056,0.8579072850954328,0.8571649901890411,0.7306504927186779,0.6942638434909945,0.765090103721761,0.7241100013623851,0.8633543643072561,0.812013252696567,0.8934580348298347,1.1822564897859333,0.9529947818625862,1.0846746267948053,1.1724589891686605,1.0394331775526902,0.9848462969180558,0.8357976626981335,0.8097842643929152,0.7424384736347235,0.7690993367370211,0.6889677917936614,0.6990486169050275,0.7477951159223502,0.8867179033039287,1.079622237023461,0.8544751818459382,0.8834474163285846,0.8497615148795092,0.8311595098272714,0.7451833977788043,0.7000487135325977,0.6764055176641526,0.8607630215854186,0.8957705001445505,0.9073623416699941,0.9868192777487356,1.1274574548374452,1.2051469787138427,1.1880225791878134,1.0910559386782963,1.0778996193344577,0.9147284629506003,0.9877373682119076,0.8601989443467699,0.698562748767749,0.7411594028921974,0.9947384262260923,1.2669168023397464,1.0408598951378447,0.9345925736806691,0.9769367327844317,0.9658729193755272,0.9555847909143568,0.8712637671102739,0.7846563795502326,0.7950821566037327,0.7881564129138683,0.7827203990254755,0.9781202366976025,1.4505785766613137,1.0728285270400577,0.732878369093073,0.7081241325458439,0.7752107505009378,0.7469208976300922,0.8380663681245176,0.8991927340221005,0.9370388186506666,1.0264613316144775,1.1026719094230104,1.1548648660168146,1.409974388220377,1.4524504702909031,1.8654498483959756,1.7052620041742745,1.3511869975786723,1.2101626022218064,1.0929817772140968,1.1215797735780328,0.9938426749321595,0.9662417443134452,0.9509688581385314,0.8861471082814912,0.9755763468467837,1.009510867101333,1.0090799185436758,1.1050354640160909,1.0105305738011539,1.1745176551488736,1.2946981569001041,1.2363573187471872,1.294270628701691,1.2606807804196436,1.3498292999283172,1.6029718092089709,1.7634234458331401,1.9956133380297916,1.4708894954728642,1.6673079705888654,1.535147206185767,1.505907790648979,1.730466685012173,1.3920509089695465,1.371732473985263,1.33246840685864,1.2573010422928803,1.3052537246049274,1.1952427560922527,1.111095797456135,1.2393065759559356,1.2782812757474873,1.157479589828055,1.1907922651397076,1.2977310783452543,1.2603786150222782,1.2078702980739506,1.298296404652002,1.389734143411031,1.3301956230689123,1.4304047971631713,1.611025968961415,1.5735276483483047,1.6103803043846452,1.5748788670769234,1.49298664530395,1.5499754898882498,1.6621629509445373,2.2356736138752837,1.9464081873048784,1.9054361089216474,1.6874582821853334,1.6901625954660442,1.5236256730886304,1.7571504056432052,1.867704810293877,1.6007833917439807,1.6018810489525819,1.7729012737109677,1.7490879648880833,1.6399881874580562,1.7602798953997292,2.0425417446011482,1.8000368105873377,1.7634171159393097,1.4660436211236525,1.4382036480588596,1.4032707297573495,1.365234776837865,1.3140782100915087,1.4391338888178087,1.3420028601330842,1.3687386571514355,1.4312358748621017,1.3097252024705635,1.240367777633931,1.2587685921055594,1.2611786937689053,1.2713671466205514,1.2125317097326134,1.311171150362742,1.290668970681348,1.2962487260109576,1.3407142817352444,1.4237897681318956,1.4409272103965662,1.4481323268298645,1.3592586625276197,1.4835384134092733,1.5547219394849827,1.419279164395004,1.4565158570958938,1.6059262251290696,1.5652891791110692,1.4978376559152495,1.6597619717214087,1.8292216124651186,1.5884686469344094,1.6667623867746537,1.8777329216203689,1.9020048647853192,1.7354557786881153,1.5386446878921995,1.9734918068754168,1.6780423080224922,1.693382547288452,1.4256524153544214,1.3610453029593181,1.2918982028851318,1.3706119178487457,1.2760536111988523,1.3576972058499983,1.3187296086773652,1.3196427247874776,1.1088968060746955,1.1409190335376533,0.9148807441365189,0.9306859029432083,0.9579524543284551,1.0540040983045298,1.0974389181599844,0.9188029485878999,0.8739672747938855,0.7978371621586812,1.0678299426306934,0.7238242459840825,1.1471839239635682,1.9168009076098953,2.1606372958605125,3.253454105930413,5.350716294026946],[0.7268129921403661,0.7633491879021792,0.9476481902776077,0.6844240437059282,0.8359510372613497,0.8206020472678193,0.7196911206546686,0.7094734085227439,0.7249362630258176,0.5946424814755288,0.5909898015938888,0.6754560119321652,0.5707934430428147,0.5623813659893385,0.631237288159264,0.5890986551007876,0.6216952154884668,0.6290117935922953,0.7303624195328453,0.6906196514445949,0.8058817609445661,0.8884868065431695,1.083316834639589,1.141009977316519,0.9600048702348896,0.8208896158238094,0.7544505813145121,0.6623334711111643,0.6416482817537075,0.621865747681066,0.6305375585581681,0.6139476255645809,0.6304246628652856,0.6210297609236393,0.624969115406002,0.6335298307764204,0.6687691250770174,0.8073198025160488,0.7394337877042015,0.8519219455606692,0.8819331526166797,0.8721809733122707,0.8525415839384445,0.975423942918845,1.174271318521923,1.2974179925416198,1.6844462795506752,1.1489855163065967,1.2636679548540062,1.316009659692387,1.315513578873256,1.440575796611188,1.1235393796479378,1.067890323584489,1.2269450993819402,1.073149717039377,1.1141137820777505,0.8851373034871062,0.9717765889236133,1.8262218021015009,1.0696813543581953,0.9459346208138251,0.7800825641376926,0.9322325079476318,0.9241014945730003,0.7977477823430205,0.8608606690248422,0.6836707049641351,0.759149677019903,0.8358794988378446,0.9039793572644618,1.1227595849761274,0.8654292529012625,1.0053689404446862,0.705992812319145,1.1248132006125269,0.6727454816556568,0.6561400492177438,0.6821902509704225,0.7436992486583703,0.7321523358765636,0.7844617285346789,0.9978981468996284,0.9623616782414774,0.9259795975816818,0.749387068543025,0.7019857358455681,0.7256529326938487,0.6547117868542052,0.6459403778305426,0.6592092279456424,0.9577361753488735,0.8036948634576505,0.6213017973967595,0.6119810072928257,0.6948175825200328,0.7204068312003961,0.6033274685793737,0.6005376576102796,0.7133456846739332,0.6503872422312136,0.8091172472719482,0.695701318696458,0.8061975706056957,1.062875734824118,0.8385469095024223,0.9595913082889261,1.0049400978855465,0.9044618599890638,0.9051787793394198,0.7473616986739934,0.7157439557859722,0.677564916032629,0.666431514716038,0.5544653830342037,0.5545760632067253,0.5685586214711983,0.6843735214369687,0.8479111945414332,0.6378973424471007,0.6661787291058073,0.6750229870620442,0.6620954154455904,0.5936603466802419,0.603743533153702,0.58274584086883,0.8115477753696921,0.8171272049897313,0.7855548063461196,0.8435767235830762,0.9477956068798533,0.9857401055221774,0.9657282460499631,0.9004866735922659,0.8944334642518044,0.7718469990516794,0.8413898889226848,0.7556611732475293,0.6070782576113474,0.5964046462551524,0.7675651920804685,1.0969973883175732,0.8051758738467031,0.7012705804877313,0.7388624961662005,0.7643871236428073,0.7727116445856643,0.7381957339078227,0.6721864949079198,0.7238961855845156,0.7500334630810407,0.7649934636961648,0.9774834645054371,1.4220455752759924,1.064614056736036,0.7025623347898564,0.6513386749762511,0.7287648246761375,0.6385499714980197,0.7305116107705502,0.7477535799494014,0.7554828711450802,0.8202256128748417,0.8695069130987446,0.9409869971892725,1.166454717319493,1.2191318524100352,1.6369402586559443,1.5109011655700746,1.1649155793199402,1.021187477179511,0.8968344633723409,0.9168978173052469,0.8028819644825175,0.7831236964714173,0.792733541959991,0.7372095688723511,0.817068181835658,0.8174156187086005,0.837898434362157,0.9672169805526004,0.8355659381365464,0.9519891792223671,1.045927776860705,0.9894771720658533,1.0343532382056218,1.0116483572844224,1.117977116721891,1.4750425392918758,1.5413398815980361,1.7484723145927177,1.2062746260433914,1.3969939721627533,1.27891897122223,1.2437386924033156,1.4692723490913722,1.2052829934641842,1.1366676238584326,1.0993660550229032,1.053209895983562,1.0728846018914924,0.9999874946498432,0.9419445056039438,1.0392477508685494,1.0741649556088775,1.005137268867089,1.0415620786600335,1.1316502173049077,1.1268294100487612,1.1249902086511134,1.2139087105524584,1.2992462567358662,1.2801361112056775,1.3606206214480887,1.5596914089498755,1.5189852593344255,1.4857218672406396,1.4178217346010107,1.3255276916086443,1.3849635037838066,1.4319761389655659,1.9652704982444678,1.670585314825873,1.6576056670694397,1.4135086399543288,1.3945015857043037,1.2428560739924215,1.4050519869855862,1.5426175504023674,1.3094763993200302,1.287023608598945,1.4246021398006696,1.427022433453835,1.3294831884843719,1.454400664129729,1.7256934465194347,1.491643889120166,1.5221380184862667,1.1975924223949637,1.1922871518840557,1.1177684939883017,1.1012063009756974,1.0769401058241304,1.2102539859572021,1.1598589135553317,1.181444758064191,1.2408643616910302,1.125023519175896,1.0731775213820605,1.090883521905248,1.1253346735979533,1.1680735349637177,1.1101090538778753,1.187537021161766,1.2147066796938943,1.28092576065639,1.2668207148821164,1.3123621100470184,1.292903448081086,1.257752457251701,1.1561544443890681,1.2416825792052624,1.3457195563122475,1.2242331258718957,1.213715769288682,1.3484637631906495,1.3287381067510409,1.2461786433454627,1.3811776663857873,1.5467034801714112,1.3393826812991148,1.3938884832084224,1.5628878210441342,1.6186717058366789,1.4577039931835034,1.3243264041778458,1.846637083595183,1.5213994971264906,1.5467324087307148,1.32895606975374,1.24518898146547,1.231224478822288,1.3095275692161452,1.1474161132907836,1.1797396883478826,1.1138000579541545,1.1141233510884878,0.9677709083737671,0.9638011647894738,0.8254928691108393,0.8307615680868321,0.8392089195969575,0.9294520946392468,1.0241646983094248,0.82260516695582,0.8129729679178122,0.7784108677387405,1.0159696832985243,0.7748590675316577,1.21011560124317,1.7229305794191019,1.8398531063429155,2.8942636300762934,4.824079109332819],[0.8524266609080009,0.8470171405586808,0.8568518893005395,0.7115179138256397,0.783315563780695,0.8209985719923117,0.7568967770738181,0.7744775561436644,0.8117317779691083,0.8075051326355606,0.854967048401037,0.8696773232405394,0.8111616927415755,0.8789928569348423,0.920675587186819,0.8565826416472357,0.8840004839144701,0.9308291611772543,1.0846498004869878,0.9690087948235814,1.0671505709637754,1.0619898556496485,1.29282279188226,1.344089643900634,1.1111193042872474,1.0549440678164297,0.9380114400260282,0.9085955456366536,0.8574136728483824,0.8039384749854681,0.8978236988412471,0.8062534936620561,0.8746812811748174,0.8410350607463899,0.8268150642905973,0.8620741881620805,0.7985245058854092,0.8650957835064476,0.803575955287823,0.8281004631268359,0.9339108218081632,0.9603242060281538,0.9460032664669707,1.048295464769082,1.2597541636838476,1.3330460316862247,1.7100637973118908,1.2135344252655076,1.2733031627616949,1.2952454397846445,1.2801591574451334,1.4389538052272615,1.0851840487969522,1.0490920926109777,1.2006266715447582,1.0866672023525823,1.167105348856435,0.962130284566828,1.0468716171178236,1.9190479200525281,1.2042139902948414,1.14340194324862,1.025958308980664,1.1720292715902558,1.1259612805842711,1.0041947596924612,1.161633173089848,1.0268701785375265,1.1570235730333416,1.2051871458060828,1.2821437462841558,1.5366328041325643,1.2703951149578463,1.3917255123524548,1.0412630960469054,1.2645032811410208,0.9837960556034221,0.9375122331576168,0.8975067354727534,0.8973554687954725,0.8342687823921251,0.8158489957976864,0.9986763394719228,0.906518615117905,0.8532542911018679,0.7939069069154536,0.8106676698507473,0.8726370213623802,0.8563377761343545,0.8723803209248848,0.9564771941090484,1.1282179572192803,1.0518037803120353,0.9511360618783123,0.93492828067947,1.042352124223353,1.0394994476955841,0.8697900890692422,0.8169481785227753,0.8571042246182757,0.7549395653910191,0.8246895803154775,0.7355107498548937,0.809739123720791,1.050325138822512,0.8593974882222093,0.9979459868657857,0.9623604453577008,0.9354831496906025,0.9277106332422481,0.8282053204583254,0.7720725723142031,0.738066298857512,0.7481806115907658,0.8340495835402473,0.9257313197844351,0.9280053214462617,0.9895413027786414,1.1583959438785363,0.9893712703505413,1.03231224888197,1.0342269457720132,1.0212652053033435,0.8487169722196637,0.7643016560723834,0.7355705776164251,0.7949838467203374,0.8272708554080248,0.8663645167523351,0.8857097597495295,0.999588772829372,1.021321884096753,0.9727434914582742,0.9201132752083724,0.8978564911076155,0.8118395732865424,0.845430024936272,0.8750000561128402,0.9069972096625523,0.8474047791006257,0.955396883189978,1.268078674390061,1.009088017713156,0.8511548628789559,0.832697788918317,0.8384316151096284,0.8269127469459085,0.7976379190634502,0.728360782355214,0.7541187753899017,0.7739143915412642,0.8269116202663123,1.0438883759337227,1.5503613645171814,1.0766899937429293,0.8166014605932651,0.7568378474393245,0.7685997445916752,0.7228528494464229,0.7498569772150081,0.7478777496870893,0.7722018129635525,0.8593780963540926,0.8708447599833645,0.9978969079246649,1.1499046212971558,1.1507153292809167,1.5589663564021008,1.428125898117268,1.099149197081462,0.9607540780978782,0.8691925609954955,0.8607733109612464,0.828389714960104,0.7927968929499716,0.7685163930253096,0.7197878259814708,0.7792236749910636,0.8132935510835392,0.8399345328046298,1.146209204446262,0.820531394973329,0.9157893537982272,1.025459873181337,0.9320107695938965,0.9741208738239142,0.9494620162938281,1.0783882832072214,1.491332310309158,1.4425794243869845,1.6470127477087118,1.0951185703881836,1.2977191785374813,1.207417378447297,1.2016468437150662,1.4756779325033187,1.3040334949493617,1.2350600874917808,1.2193252570177282,1.2143604304073836,1.2209166937313483,1.1389708385800372,1.0751178351900774,1.1886908347140848,1.232651066235759,1.1415855350003297,1.1739241606638895,1.2809897897075293,1.2648681549822747,1.223816381663946,1.3197550055948217,1.430067933999645,1.3713957459214512,1.4737020349372087,1.6671481005688347,1.6300863477423635,1.6747937102470793,1.6149638382237939,1.5169361476513998,1.5889232544096958,1.6620318815140895,2.185308517485838,1.9322451454343785,1.911956581101941,1.629052508471041,1.597434954386112,1.4050566807293199,1.580205385530391,1.7528581299923014,1.4822713420523521,1.4576935833000126,1.6132248410805998,1.6207605703332815,1.50192901645344,1.6067055087576039,1.8739109211362228,1.6792672304437561,1.6248334046126873,1.3627049163634917,1.342471607990107,1.2519463742946328,1.2451627595942911,1.1981101813031996,1.3673695468469547,1.2826325510281151,1.2945228920057454,1.3655738893655005,1.260821768283437,1.2017215846973583,1.2336698275013998,1.262966457994564,1.2944495755197403,1.2375913108151697,1.3336926919113505,1.3340210179254555,1.3481819174354563,1.3779913158746457,1.4558543226331795,1.4567719322504917,1.4406067707610999,1.3342926767691226,1.4453834186960242,1.5461590948108657,1.4006958677787875,1.404288129177002,1.5556419109738524,1.5347071902995661,1.4327893661506619,1.5748125077044925,1.766679579050917,1.5332842208842157,1.5828279595160135,1.756747702373278,1.825563825464604,1.6744810504227203,1.5084700283585066,1.9605439974940888,1.6927065269135149,1.750236140630781,1.455633436182517,1.3694047082656888,1.2999544919085788,1.3603331091547355,1.2640967943503323,1.3662182561819294,1.2971792870081003,1.2986162129533358,1.067925214121886,1.0916893971216415,0.8456022787122552,0.9793520208884194,0.9760610702596709,1.0407637467982533,1.1813872999743364,0.9667536348607118,0.9028442900350474,0.8317531136614972,1.1260605763145297,0.7757397919207742,1.1624366858938235,1.97709121323147,2.144545707308064,3.157843582220875,5.29487615529516],[1.1664463711025361,1.1464119512069555,1.1961785715606872,0.9061872990389853,1.1007724234370737,0.9933628588495143,0.8763598421560077,0.9090520833059834,0.8110191747853037,0.7151313825861675,0.7119557190411803,0.7887756582866172,0.7106074206234777,0.6658163529358968,0.6921702817189936,0.6749102810577847,0.7069129745506076,0.692156026786495,0.7678364373931713,0.7411024456164216,0.818882337296332,0.9152159529782887,1.077986689601789,1.1280800331532277,0.9945507818474495,0.8370391717267128,0.8329622205549861,0.7320438431544649,0.71219940545486,0.7388645382134068,0.6862508351987692,0.7450292462101071,0.7324598352267673,0.7016311617161388,0.7398770273258372,0.7255239668755501,0.8018781312471398,0.8918284440832441,0.8728586007453367,1.0447513319746795,1.0348939824944787,0.9639006913375239,0.9552891923430803,1.073427386479036,1.268275847767671,1.402315789187854,1.7568134252218206,1.2523308482819944,1.3424876807311112,1.4491915852486328,1.44742469090059,1.5559560565502075,1.3078868799558747,1.2535885485975247,1.445452662344129,1.195952999092245,1.1927007022244567,1.0052824411662769,1.0608880142265635,1.8109652684262159,1.0909339614808296,0.9479372854167774,0.7948508672252317,0.9176143642669146,0.9188512952411353,0.8438855066044192,0.8948919470791294,0.7261110757364001,0.7998657331223222,0.8752086728120452,0.982238677736252,1.2142070922307309,0.9327600719730155,1.0700155461413738,0.7650187931419197,1.1315137024472486,0.7215667868210166,0.7220400051215348,0.747977081362849,0.8402375861567755,0.8780792663919122,0.9842750086242844,1.1845552507928023,1.1395853608814464,1.1604364883446938,0.9450303377923226,0.8517816241143847,0.8761524281440067,0.75334268924561,0.717500454870248,0.7151390853716975,0.9266867062502926,0.8316071441659459,0.7032228144951743,0.7113726851969278,0.785369343514432,0.8503607927259654,0.7394855695891576,0.7472710768675431,0.8855344990003221,0.837455069358446,1.0437523133928823,0.9298284769833376,1.106117991138,1.4162303770683187,1.2260824536156931,1.4079834361232861,1.476345122125925,1.4032071392924959,1.3457782966927192,1.207244204461148,1.0441632688987024,0.9160623034593303,0.8529577771240083,0.7119553278363969,0.7119742920529565,0.6639065853702593,0.729891045308683,0.8684472780564902,0.6931200881383929,0.7308772569059259,0.7775523489939762,0.7549636256267601,0.6867600939088288,0.7190333888620887,0.8382468101658315,1.0407593817011085,1.123171819281405,1.2646701082424041,1.297260045768172,1.4789302041941863,1.5624732261563168,1.466893919924276,1.3728208058412763,1.3053516698207104,1.1064583899758513,1.1955622399620054,1.0857116837720493,0.8574020867026384,0.8231056353052236,0.8317888079917408,1.1302805995951348,0.8649703392722022,0.814459475936945,0.8560713695091764,0.8577855852921292,0.863811588035296,0.8662469867366295,0.8763951650004794,0.8725621916199653,1.0239328065550952,0.9611318851104922,1.1641723021242936,1.6528976547904768,1.204764722679726,0.9493484072945193,0.8686779727696384,0.9927837839751849,0.8648108640333506,1.025737961330612,0.9942204252689884,0.9289260219772303,0.9698453384568717,1.0163606780246286,1.1336201534406714,1.2969473389517248,1.4783737259930887,1.8523703227597537,1.8000165871115132,1.4062575772778703,1.3272785041359074,1.1265188116892264,1.1722816906451694,1.0765907793092067,1.0397144128953963,1.0690570424192516,0.9394684064126666,1.0610530307083064,1.0716242910230092,1.1500747080067666,1.1713548166349086,1.192802513364672,1.358105110096947,1.4497325814512687,1.3540729496033281,1.3299081684471663,1.2291486477702978,1.3607531067191179,1.630287544647931,1.7780182947792702,2.0096281244521395,1.5637350904472764,1.7733023497881388,1.7085059282391863,1.7693867705328874,2.068236593992916,1.7106229327342546,1.7455316632048175,1.7703041449637786,1.718229121482555,1.7894053596943225,1.696340406615534,1.6045635048646238,1.7378596395004207,1.7780172625664394,1.6442847503524796,1.6647109828643982,1.7913598752416071,1.7471468283019402,1.6417765272534086,1.7293784179929785,1.8199493254505936,1.715838349311692,1.7938435717501913,1.9475518022331006,1.9270436085319194,2.0599452363049533,2.0458810277714528,1.9928725498357587,2.040146997665646,2.1660156054133184,2.6615655134633553,2.43863529424104,2.3567643770488695,2.1893081708074735,2.1986369897243287,2.0101049747946726,2.2514440874133435,2.3819056619673553,2.0994312331453098,2.0819181109299394,2.24664664370328,2.2275578968385443,2.103688374625154,2.2031984247121086,2.4599377400534337,2.2522090262910086,2.17072987134041,1.9396087158393853,1.8995698758908286,1.8669394608776457,1.856160348469946,1.7927937391437292,1.9260554659293172,1.828867764520386,1.849055587799491,1.9256697582495954,1.8084257116652436,1.7219264683686086,1.7500953257836815,1.7446689572903638,1.715958375404619,1.6855803473832651,1.805988351887151,1.7552619400431062,1.7058083437147376,1.7868817638390624,1.8870533493405826,1.920385709834559,1.9524699925697402,1.8692333422464795,2.004033281664625,2.0717176616058537,1.9249549201599214,1.9716347441633737,2.1163783893605568,2.068258114919007,1.9990170041193622,2.1562977569703756,2.296474834451907,2.0872617426220397,2.1569708318666865,2.333339521373155,2.3480701597367126,2.2169773579915466,2.0387015274248053,2.4173752462689224,2.1617067518428015,2.1647236334903717,1.8490147313323202,1.8069330378874602,1.667748124073594,1.7268581546422963,1.7111807043308538,1.8575902750990043,1.8155807037257645,1.8281999091008985,1.5494029641962443,1.5949704000147369,1.2762180093198707,1.3954001035333428,1.4185939704146757,1.5239202787995527,1.53498286610133,1.34615791906447,1.3496481458186305,1.242481040725742,1.367660811443262,1.0969895489289843,1.4495221271428544,2.3911737503607737,2.7796201284292357,4.065300566478221,6.280886977122677],[0.9224987800405059,0.9843530181153832,1.1664588025672833,0.9074250485476176,1.1661858223896442,1.0468272400791323,1.0020498657614474,1.016424038491667,0.9188904863426445,0.8602696288655405,0.8214940990412251,0.914690179243527,0.8969378902495131,0.8007949315381825,0.8330384843210338,0.8757639929467624,0.9218182041869449,0.9081288360623385,0.9202960236331433,0.980048313206338,1.0226744723960257,1.1514990580877622,1.2085842678645153,1.2521907382116138,1.211921054682902,1.0424107870020771,1.0900778030142482,0.9793053527439582,0.96402099003515,0.9856632146671164,0.890706446643261,0.9864752618650849,0.9337124264025974,0.9554147729239851,0.9885766145552461,0.9707936293774828,1.0552094192453818,1.1546239202218624,1.1448316799883798,1.289714556550616,1.2808535457120707,1.220603971268022,1.202008070652113,1.2703401408134158,1.4488113275770411,1.5798399456936307,1.8830004835713061,1.4013642163271973,1.4697859773982005,1.546407183679174,1.5767401997719204,1.6479789825848343,1.4822700189919806,1.4668739394010082,1.6744743100548012,1.3767680986785376,1.3649500613147107,1.2601369933383009,1.2926232024213917,1.822174597429956,1.2596301649041364,1.1281658681606166,1.006544288445902,1.0986162135744753,1.1166116309054375,1.0823254819957542,1.0444292570289337,0.9172990785007299,0.9026157853332407,0.9525074182890262,1.0683118305211745,1.199294927431416,0.9785763647074447,1.0840888347594402,0.9523863730343786,1.276672139192109,0.9427756834773011,0.9637943338424015,1.0078168667860297,1.095211587432037,1.1449833501379716,1.2375505101175601,1.3980578121812923,1.3509944766176132,1.3917213286422285,1.2012171740383097,1.1243631903011764,1.1167677506258105,1.0206987033653085,0.9751126838611834,0.922894430772372,1.0895846009780263,0.988578192803923,0.8472969247900688,0.8527437315126072,0.8427031214963794,0.9259116914302135,0.8930488932972809,0.9114479204320537,1.0113317753752218,1.0463723620258338,1.197336591813586,1.144091838346897,1.2545911331628152,1.5558831863192386,1.3450198837498935,1.4683377261399762,1.5294664938426203,1.4420654810929128,1.4108318142239213,1.2833388943674287,1.1971270281246298,1.0875381462992981,1.0662004005564027,0.9171855564347225,0.9143958377690586,0.8755829009491123,0.9346858641630722,0.9952563800280807,0.87137200703319,0.8610807229844828,0.8970678873204988,0.8926920032179416,0.881377370311171,0.9058633415967249,1.038170702732774,1.1801970242130997,1.2661262307239556,1.3621559090001834,1.4124278496607519,1.5470419605596557,1.5991095395881862,1.5472848352748192,1.4810989968628328,1.4488941872444894,1.284902383121833,1.3423069048348488,1.2984975530442124,1.087412262501512,1.0778351855326878,1.0603653740269394,1.3102199407322717,1.0819319455193186,1.083165960944336,1.12959577780627,1.1204835778926983,1.1227729478504933,1.1085119330711377,1.0911946659423506,1.0568728993784946,1.1602203776984765,1.0579441305076942,1.2202513686861274,1.6204428351158757,1.2891437096934686,1.0584776735393204,1.0346140525172038,1.1469768701002785,1.0803877915148667,1.2107610433808338,1.2124292038763116,1.1844086244849137,1.2073662610337235,1.251432260490996,1.3403739874323604,1.4790430655150684,1.6194236301515663,1.9338896075897636,1.8842439684359555,1.5647475739675123,1.4833260553453753,1.3298821112170058,1.37190011108994,1.287578156693833,1.2666452268050694,1.277809536226568,1.1864231101791878,1.2899771817970291,1.3007918867106514,1.3633453917495157,1.3451287754945886,1.359855980967428,1.4949939958496867,1.5709453418836075,1.5103006431158579,1.5105150904526714,1.4335968471561769,1.54333602321014,1.7945659310811592,1.8898842231365003,2.053243910490538,1.6840842731871632,1.8343025956033672,1.7704425414980995,1.810414520222026,2.0736699417317412,1.7275992809559457,1.7085238370040914,1.6931514451929839,1.6665279627036758,1.6521769417082492,1.581792726266988,1.5364935212785098,1.5969131314718266,1.5936223289002942,1.5016137138198988,1.527952735892712,1.5739837542740938,1.5227142438459635,1.4660863937417459,1.5100071526674683,1.5537105145535837,1.5069402895956598,1.5691941938338856,1.6931071268743767,1.6761061273173754,1.712395634821621,1.6848686495266474,1.6666251649846948,1.6838795884973756,1.7804377348119678,2.28922490313804,2.0310640040849646,2.00930961103912,1.8627720351628467,1.891812801229914,1.7709713078385385,1.9719402487278308,2.058542081336801,1.8503630452901287,1.8581088642628347,1.97840299046729,1.9637124713703802,1.9013581894513074,2.0130673962785934,2.2255521879041216,2.0310289308094487,2.047796740053844,1.7915540499898233,1.8057069678630273,1.7237893469212044,1.6824076151947032,1.644418169064966,1.7548923282451498,1.712704539814723,1.7499381196816413,1.7555614784418014,1.64969071567828,1.608929870994822,1.5760169260084946,1.5421992195140433,1.5316244574416948,1.4846745812557733,1.5585277334569811,1.5117386928799694,1.495266337296622,1.5251707433267205,1.5933391302424023,1.6223047820958874,1.656911641705953,1.6136838829030666,1.7106970696792603,1.7396352247369804,1.6507950141764787,1.7054081698707886,1.7862851426319784,1.7458885402989883,1.7471948305478735,1.841249697912246,1.9449622827196802,1.7916176001282287,1.895793033957656,1.9924726908091188,1.9814603115095129,1.8868901677245329,1.7551363884709226,2.0846329419899066,1.830036378875087,1.7928221413199525,1.5957115403871247,1.5885248193217205,1.5207462440434782,1.5908327799495825,1.5795367465822496,1.681552216946155,1.6948665768044524,1.6713013676794375,1.497555613793648,1.5700409670499087,1.3204950658120707,1.3547719514956709,1.3781711757640216,1.4335463697751027,1.4515259666732532,1.3127483729955478,1.2439760372859943,1.1496247276688876,1.3037511807492437,1.0452305006836144,1.3546082412875942,2.1705665731634403,2.5226319146497964,3.8442929152810477,5.942363957935965],[0.8026824667706794,0.8216439221659229,0.9302460053279732,0.6620165983027118,0.8723008126792641,0.763221276058475,0.6660601093015518,0.695158538908377,0.6044798026958789,0.5068320639441314,0.49531184667559547,0.6029712923276443,0.5260926532899511,0.45194849086624733,0.5030328901517408,0.5063969469871406,0.5501974448145807,0.5506178955703351,0.6170384635527159,0.6508597758543206,0.7211149814659981,0.8398092799273287,0.9858848993899106,1.0604507676231973,0.9519872000157872,0.7754727455829244,0.7869053836225618,0.618470755407994,0.5767831938283215,0.5766581804744613,0.5224474165093205,0.586187894018386,0.5683188434311935,0.5500388493741338,0.5799955587188551,0.5915698240867218,0.6324701914481481,0.7104069599893805,0.6950097589075848,0.851712099272907,0.960722444957558,0.885862251480231,0.8318396603855496,0.9013794865651558,1.2118727184849718,1.3766958022392868,1.720391996818363,1.0776660975423544,1.044444598969273,1.2087386240123734,1.1332149527877617,1.2355995361114316,1.0392971649624945,1.0491506870970924,1.3626068945227454,0.9524942276089615,0.985377118368234,0.8698850038339212,0.8960280111675659,1.590117405164976,0.926546621536961,0.81130608483039,0.6648114276409803,0.8378813042511019,0.8218387395782594,0.7376716589358714,0.7598763389661979,0.6042018283374111,0.6888579398738247,0.713161792626363,0.8457811802670311,1.0558483633111997,0.7645179503634668,0.9197301674760331,0.663555959296636,1.0311712089262632,0.5972453958666397,0.5841702581075836,0.602809532928688,0.6842328255125426,0.7220943242718841,0.8028129650139895,1.0475749632229494,0.9554607321308146,0.9481547939980267,0.7699158017656083,0.7056277085601563,0.7326244593342912,0.6040651210048926,0.5917761131509854,0.5709528545144236,0.828153192223678,0.6939447205572712,0.5184400388550321,0.52626448009925,0.5830550768370851,0.6539128572297198,0.5438384947307285,0.557406021219694,0.6925941536576437,0.65387150650078,0.8276644837901768,0.7351868091644738,0.8743078053083478,1.1829172166029236,0.9860356114143806,1.1559532306755747,1.1410132246080718,1.0938427999934555,1.059598624259906,0.9313259814574446,0.8223819770136148,0.6999590759950358,0.6692793599800049,0.5699168820679879,0.6264965700399544,0.5926333398785715,0.6448818929221174,0.7227307577135312,0.5636401783576122,0.5937385904821482,0.6071977222991952,0.6208788964781513,0.5080694905372382,0.5207073404698651,0.6829486606646933,0.8165558469465446,0.9129233523916056,1.0134596874068103,1.0419152695563576,1.1868180842616716,1.2280041919919955,1.1522126085020123,1.0808219385562192,1.0426202240658546,0.8975803106581104,0.9812949504601175,0.9159599981662484,0.8118480493863005,0.7657759295668988,0.7730358983142803,1.1009503793693138,0.7619229441386005,0.6846518841843191,0.723891985954462,0.6900509093655395,0.6948717960499814,0.6839965079813818,0.6751371452422064,0.6783270685239389,0.7999505804271099,0.7455983142949407,0.9954360257299365,1.4822981676494869,1.0212275773713022,0.7331206065266547,0.6586840120706413,0.773391841903243,0.6740610085793727,0.8082763744178248,0.7781938877416303,0.7342960044593696,0.7703462254086867,0.808531620221769,1.0036921572218533,1.1076213381308477,1.2642053321243385,1.6587749580514923,1.5721526702770476,1.2468169986946078,1.0954388084038484,0.9174622124273245,0.9406846309276301,0.868351322343974,0.8312685511686821,0.8443131907173838,0.7309223578452442,0.8582566966568237,0.855465241069701,0.9412292636940303,1.106249530681153,0.9434868279356909,1.0801454811703708,1.1681619744223275,1.0748565838317787,1.102094745714661,1.0514256792341936,1.183922201932667,1.6126901627582588,1.5614607146825366,1.710127322249188,1.2406831956328115,1.3897296505944747,1.321070362245677,1.3661262051564345,1.6569966398043132,1.4371390388705212,1.3866390108059043,1.3829156244982128,1.3843564393420547,1.3645797522526266,1.2970363017819657,1.2421898073606457,1.3249096344576885,1.3417582196845046,1.2553253286849981,1.2849819105420086,1.358299378604319,1.3338136961506908,1.2873981937686467,1.3609593129958661,1.445487830565383,1.399580154063914,1.4836997212885759,1.6537152800993784,1.614658176499047,1.6377500923964623,1.570625188818194,1.5142117241061528,1.5604126271057142,1.6229077079761365,2.1151532368921986,1.8596580213533183,1.8893113281951803,1.6486907857476016,1.648818138736642,1.49721642495744,1.657263245718175,1.8059854636616195,1.5691696612672896,1.579751450706659,1.6920006929435667,1.6973780416734818,1.6278735865078935,1.7159920612769095,1.9288095550108837,1.7714874457001073,1.7551539550195727,1.5100692238380764,1.501062943907384,1.3979748471441469,1.3809385121454945,1.348946731702992,1.476606179285759,1.423525717375616,1.4454761116474506,1.4803961763233293,1.3798055975588575,1.3258354611299386,1.3382938352690477,1.339418423549965,1.3554905993834598,1.3030049501632448,1.3845462989775186,1.3707516603566092,1.3809888015557708,1.399553808024889,1.4628558167426473,1.4733685511093597,1.4749684871396829,1.4075762721507672,1.4996360929557355,1.5620286481489774,1.4523537876566495,1.4719175365806456,1.5767146824084688,1.5549292815825482,1.5069020297677607,1.594270267377803,1.746694429611328,1.5697633900688828,1.6541179271541782,1.754549176800948,1.800268325693455,1.6876208377323632,1.550899162682626,1.9195274090642644,1.67839474647248,1.7010207121684118,1.4616424690642595,1.4136443566016141,1.3498745943687118,1.4198480486886005,1.3685154825207464,1.4794256278449698,1.4476866287696002,1.4296247637230013,1.2357042179421842,1.2687195768264914,0.990692620106957,1.0953823387173658,1.097144605805764,1.1628092632277354,1.2268004950054443,1.0300915295970507,0.995333682768537,0.9074568239665358,1.1060539321544132,0.8088186584501937,1.209127402194789,2.070051846053376,2.363086055626536,3.610919444785008,5.729245074357201],[1.1716918879554812,1.1417270565358766,1.2348670924925702,1.0233071923935497,1.1335333786193316,1.075434111523877,0.9853027689976579,1.0047575479889064,1.0052627926496815,0.9618508765651196,0.988622009339074,1.023184253829304,0.9482962742667956,0.9726847937452766,1.007535008536837,0.9502711415307897,0.9363585010341977,0.9728611549113403,1.0198594016732174,0.9850861868745762,1.0439982179642489,1.081532893132133,1.2179467873512229,1.2873676302437846,1.175333859626755,1.0739602271397324,1.062683065271302,0.9578192005579585,0.9351124933800365,0.9076302797000614,0.9682594365171722,0.9402963580219128,0.9652489280850703,0.9419418391714238,0.9247121575372319,0.9222568069548119,0.9113839858575883,0.9285912743381457,0.9009804758686093,0.9872075242804002,1.1486418045767042,1.0959798676428028,1.0136842931058585,1.0253044384675944,1.3454635145481597,1.4945736188722878,1.7778989273901047,1.181240535971426,1.0726282121252908,1.2704488198576458,1.124025022204792,1.2139677568460634,1.0723981786416126,1.0855568926106682,1.4541325493058037,1.0150111999281182,1.081145446803309,0.9961808928981868,1.0175914136042319,1.6465463506598887,1.1154117875701228,1.0755461752289883,1.0100598754204366,1.131653465645463,1.0974925454777573,1.005697374479232,1.0919691118312855,1.0268771911473666,1.1778851536508264,1.1639481121199418,1.227405287158113,1.409110213276566,1.1836296819972605,1.3059083166087113,1.0986584535746584,1.3276043597140958,0.9682631265787957,0.9519420298612343,0.9158325489602662,0.9094387775244134,0.9158329118908939,0.9679652429053418,1.2437486184706648,1.070500263913189,1.040598041118638,0.9415778167644259,0.9186781101183237,0.9412145949267302,0.8880590618473783,0.9630364885983362,0.9699522927331039,1.1811005753795487,1.112512989435632,1.0063258668985369,1.0031313817813674,1.0877099615085177,1.0766057004576917,0.9681466110798688,0.9627600153128753,1.0449150102426288,0.9586731636974812,1.062411846411243,0.9720929136647786,1.0749486241717936,1.263484993721036,1.1650004708034503,1.3508874755696676,1.301089425181657,1.2659097877656778,1.2618562721765298,1.1273751048783363,1.0258867421382933,0.9492690723106498,0.9160715852314848,0.9417991812401663,1.0112856263552863,1.0129711372246346,1.0316940083591737,1.0867001562144079,1.031616608228846,1.0942901799562297,1.054177369557592,1.0773507703802865,0.9296497543349602,0.898411927899919,0.9529987910492198,1.040044318139808,1.0961194174139208,1.1781280424209997,1.1773747463290372,1.3094336652164873,1.365456671785457,1.253791480866573,1.1923868738243106,1.135905858994804,1.0296907276799663,1.1050471292167432,1.0054039670206656,1.026545863417655,1.0095238908543578,1.0569722267398316,1.2794137249902158,1.0319840195549175,0.9288608585692145,0.9462241352954636,0.9162271867039409,0.9302931036527412,0.9243403547529915,0.9199202356091464,0.9772110767232882,1.0585216407257854,1.0348465128343536,1.2655766675705473,1.6407059724034632,1.2089863444259634,1.0314652660067256,0.9643645036667089,1.0247974188639575,0.957301648299252,1.0136298259086518,0.9480833093768116,0.921958462476054,0.909581249845514,0.9309371774598324,1.119066507515968,1.1667495508162562,1.3532644338347495,1.74582653251378,1.657812258493239,1.3491742215217961,1.1999886618115823,1.0213042439614592,1.0424240926836623,0.9809416831273305,0.9687426765144356,1.0174526817674767,0.9456575310250408,1.0442838704964181,0.9891078793638586,1.0385837349733298,1.208453006660251,1.0736509702815407,1.1733766192472697,1.2578284952174936,1.163695844413053,1.1884838949271828,1.1689487319161722,1.2343485314291365,1.6712547701298044,1.5943476767957125,1.7159556400741496,1.2837365138661774,1.4390496796859948,1.3928798423264745,1.4618893907120807,1.739273121091243,1.4990168432605333,1.4919796547320465,1.518612832808509,1.5040549981432874,1.552900993113704,1.5105954035170495,1.431670924632472,1.5321463091377383,1.5887937410432595,1.4910924947124176,1.490131554802148,1.6343428460240466,1.6259748833153957,1.5385565544725706,1.6306826377753552,1.7524638323674226,1.6919667573458994,1.7481960762559943,1.9445176512475204,1.8642611189915923,2.026887788202457,1.959525730116299,1.863296298114417,1.9591496610431587,2.0392087609729272,2.4815257335112686,2.229605370080164,2.1847782005519036,1.976709184460528,1.9751830871005223,1.7793807885807817,1.9446313140936249,2.12198927407868,1.8366188304572808,1.8115545392456864,1.9234132760700597,1.9180078270974261,1.8199877158591804,1.8782267864090454,2.08914066561592,1.9541828954060891,1.8770997219468923,1.668170652828397,1.609668217631461,1.5754032622337153,1.6039587833274314,1.5805171051118543,1.7210145681869313,1.6268426906997888,1.624915343259002,1.7314988624234455,1.632626354574173,1.527339043628044,1.5929615124799863,1.6150607893019902,1.6000509350842445,1.5706241692408054,1.6994011149148325,1.68866175956546,1.676299846292226,1.7326835594008436,1.8255773785660727,1.830439387173894,1.8312412882588718,1.703725746165036,1.8247273045708647,1.935589064736664,1.7626051441727801,1.7636804315497634,1.9371111399954768,1.8994825389618997,1.7838991884716524,1.9114020875831643,2.08197834979017,1.8748101304935791,1.8874708556645707,2.0640267999587936,2.120620279387819,1.9679066329082862,1.8214177443644062,2.1590126591594068,1.9946240742997032,2.111296730622437,1.7171212622692207,1.6576145828005604,1.5295999909981017,1.5791182405076312,1.5494583441323067,1.6855919962682555,1.6162159084512084,1.6300221613277788,1.4073902428263114,1.4093303615484374,1.2036993901179154,1.3160223556056045,1.312722666074763,1.3916920010293006,1.383261524268341,1.217107922622037,1.2863759483038377,1.2360299958607899,1.2661168720401128,1.1540832157547785,1.4814593339357767,2.491626249042115,2.8600237161716056,4.253780106010329,6.471529764870015],[1.0246391866129374,1.0318500718084636,1.2228247692366883,0.8776436415797589,1.2289184532346313,1.0040877519432334,0.9420140063673501,0.983117025828385,0.8076924651115953,0.7119252461398342,0.6579024268194029,0.7771064454539728,0.7766589467955116,0.6001015897918868,0.6545695244402885,0.7215563358047767,0.7516928368796459,0.724821580454159,0.7253548174195176,0.8607784858206974,0.903901662282695,1.1020509101218503,1.1307258776242268,1.1917338270364308,1.1711098170178003,0.9543415974829831,1.0531058571902392,0.8582737167207936,0.8349054052862382,0.8943540755121047,0.743287526182474,0.8928113701608533,0.8412339991097855,0.8651190647435305,0.909933292126765,0.8907494991057922,0.9970833061012758,1.0871192628747268,1.1102421647183012,1.3619388424895,1.3636676109841108,1.2292966166060435,1.2199657863284226,1.276986929098604,1.5065858450114562,1.6968291217852849,1.9560418866061513,1.4279890604444954,1.4267995640379636,1.6404869160253834,1.5747648790151687,1.6409644594471229,1.5526100384451669,1.504297103231008,1.7723071914463118,1.4027678125174465,1.3521131337424082,1.2492953877490605,1.285264990538009,1.7475949041925416,1.1977915884942179,1.0573031981479788,0.926883670463667,1.0040952824960387,1.0496142956318864,0.9931294015195649,0.8832411487040753,0.7523396773068017,0.7179078869482629,0.7300343523120862,0.8611577044472705,1.0055804140135374,0.7454609984461935,0.8862555899952858,0.7848345218549128,1.18764362301153,0.8323834475190444,0.8603857228097996,0.9397607223114369,1.0299440684267098,1.156071807783129,1.29626713939525,1.477417258439724,1.4619330813747557,1.4462224252238656,1.2209657571518364,1.125066465812712,1.0813599230767308,0.9363159812551052,0.9184875013371184,0.8037222687519648,0.9920171708117265,0.8159665485135666,0.6799059762334044,0.6756692436156161,0.6304623894083664,0.6956137681681291,0.753125890545746,0.8157635865359184,0.9674684608872968,1.0306287084172283,1.249379459712084,1.1714777272509436,1.3213438520241716,1.651776483599682,1.4578661092401934,1.648556102825472,1.6750963901400875,1.5744683976347609,1.5052903580831043,1.345910074782508,1.2398350842696444,1.0551056013976152,1.0256900946440781,0.7973713604943368,0.7704273853114844,0.7544918396387111,0.7794987097905267,0.8023110764142125,0.6896473838542632,0.661561767360067,0.6597638823753909,0.6736208147046742,0.694824954804576,0.7654447567586401,0.9559201341497473,1.1680430635888883,1.307885869777101,1.437658517663567,1.5098055675232496,1.6747642169910664,1.762316689902168,1.6943295228635782,1.6185764973311263,1.5529270306727545,1.337040863511359,1.4356581676659923,1.2918077251843993,0.9695587322986013,0.998149507587155,0.9950022252640043,1.2319366705679655,0.9668753154725934,0.9911937217869147,1.1136099028292088,1.061685211316283,1.054438944822523,1.0688578756947702,1.0923992854531939,1.0302068685878685,1.178082158365131,1.0302206219680372,1.278819902129986,1.5704719585259586,1.18533459735106,1.052529822499105,0.9913233699449918,1.177940161564396,1.0811095876260108,1.251618620377487,1.237013056914493,1.178003137043738,1.1686171551581312,1.2500620038567414,1.4118109389587805,1.5020861165706885,1.7175343239795318,2.0358879328428765,2.0077259764846844,1.6564911605021206,1.5745816316074526,1.3723572289381585,1.4512793368599866,1.3341429527587902,1.314125877353404,1.3550719391632846,1.2157209965747129,1.3840658551060467,1.3335864487796907,1.4144763124012951,1.389822948884643,1.4545246439425294,1.6090682625792538,1.6950572817502878,1.6246839475583383,1.6145832171907062,1.5595801588873972,1.6215006607085072,1.894714283747719,1.973817036181584,2.0956111859556388,1.7695836835832754,1.941208640269328,1.8982185325907406,1.9793437380522925,2.2334842892171496,1.832703047974868,1.8623525668359786,1.874328756318034,1.8003902815152149,1.8709432429333996,1.7767442648175131,1.6919639712264514,1.7984366406803038,1.8190020637289206,1.6782446306133414,1.6805709439770968,1.799461389423831,1.7471629714679127,1.6373232387825747,1.7054813313716788,1.7714417963520368,1.6852744630556273,1.7207728926065413,1.8833417702502102,1.8541327305675381,1.9876021761752178,1.9788281382004855,1.9340560396816608,1.9799531790755573,2.098056076365542,2.5731047904417035,2.3004777371343996,2.2597114375688747,2.1307747835524657,2.185076567100891,2.0583282606615128,2.27053136997578,2.3584616341255322,2.135636251943555,2.136719114374247,2.2482368071339836,2.230587749386783,2.1414633021894054,2.226082377185525,2.425914086119394,2.26282729540568,2.2305901565372377,2.0090594429493316,1.9642382692791474,1.9515404558054301,1.9298995265181265,1.8761369967417105,2.001715160837164,1.9077298252964707,1.9255467630301415,1.9978599726692312,1.881117554793971,1.7794702978289023,1.7940689580920406,1.7590983149653314,1.706182343690333,1.6749716554589305,1.7935478609377111,1.7257137879266111,1.676848912331178,1.7506473630073074,1.854660843784077,1.895079490221245,1.9395311488303024,1.8759795772985957,1.9933853702681825,2.035862734001355,1.9175098240692352,1.974164129316391,2.0867319227352557,2.0341310944181714,2.0182704191154324,2.108462007093688,2.2109268829854876,2.073469228164907,2.1394222376812695,2.285949355494094,2.290144082329388,2.169302998484499,2.0256820020705173,2.3248909824037014,2.128320294736642,2.1226521307667316,1.7985073764068356,1.7901895398922893,1.6335313887887923,1.6942768746940453,1.7086147246312837,1.867000673358297,1.8710525564232068,1.8682440511690173,1.6454789360219124,1.7032428964859898,1.4348876821935186,1.443976209702266,1.4883106120600254,1.5949041742236927,1.515605632084046,1.3661907838190979,1.3921300975719748,1.304937504796166,1.2838857622337876,1.114359922033561,1.489516898935668,2.426821493833387,3.0177467857372804,4.610742946407214,6.80671148507034],[0.9667995946622021,0.9791540309437273,1.1296563082303666,0.8147646910974645,1.115180343326502,0.9467411136583181,0.8971207851225342,0.9444338793486003,0.7957392106646128,0.7043322536519951,0.670675181624207,0.7765981285730343,0.7621908771149641,0.6227650508364531,0.6840448425499132,0.7318471886712041,0.7449740352433226,0.742284452851132,0.7405730072890929,0.8696001447683837,0.9180943619661125,1.0834332878929014,1.1427213424230414,1.2076544900967388,1.143674951805269,0.9768301529936845,1.0390784697117261,0.8486636575663756,0.8372237424572189,0.8695816616636444,0.7562236525938114,0.8763301196981382,0.8532829075621459,0.8675392667444375,0.88865017524542,0.881151109701061,0.95534778587047,1.0527201514916584,1.0299684667250337,1.2372535357000578,1.2947090403935013,1.1745685586510053,1.1465569179122723,1.2036261625826956,1.458506904455149,1.6601714399203533,1.9157313256199824,1.290275377914703,1.2657659254494784,1.4673397246643063,1.3554320879942838,1.4287695670588105,1.3821686949450285,1.3474178123642868,1.6746998834057232,1.2745875971087408,1.2577541064431108,1.1757740198155089,1.2034871490058214,1.7074635053732956,1.1366932928093767,1.0441431867822175,0.9360758913438081,1.0149036556042748,1.0661677430811038,0.9810288275299731,0.9023646850119814,0.7921610488483699,0.795603560277332,0.7695572605187659,0.91280299657873,1.0395626487912106,0.7995907923343046,0.951284006554443,0.839631091772989,1.186003779703002,0.8547529602351736,0.8630125800761818,0.9178881939879575,1.0144432872835445,1.0815775865351833,1.1765936343212582,1.3885133246189014,1.3504472618238994,1.3089294521187422,1.1289072707206573,1.0545116275723243,1.0488368682479163,0.9163599473076218,0.9227938629630433,0.821170056636859,1.0232219292190745,0.8431824393201048,0.7019032265112949,0.6955350909883926,0.6612209740651281,0.7308008310222976,0.7864377026287785,0.8401622736581232,0.9645656882923556,0.9903339572531134,1.164033472583867,1.0905469206921865,1.2206854898542605,1.5202419292829426,1.325857957851205,1.4841217433796974,1.4891464281372053,1.4100160148408414,1.356692299004009,1.2189425812242518,1.127353261920987,0.9810145001454543,0.9560643660485317,0.766209039276983,0.7431622716565913,0.761488569452714,0.7965953153291436,0.8304669828440043,0.7041887245761221,0.6802278569023209,0.6666622757375815,0.6856721105025789,0.6864806321857347,0.7368445947157255,0.8885593253386954,1.0791604822765812,1.1936282182269302,1.293424377452908,1.3499031444424803,1.4824182875380914,1.5464413778769759,1.4661556768391377,1.4121817265027714,1.3578491119315104,1.1953502737921644,1.2816353969216645,1.167549570688176,0.9050124925967351,0.9293242212302137,0.9887592691351987,1.171500966614572,0.9218240807650482,0.9311096828890721,1.0493360993922898,1.00361587799441,0.9970782182732222,0.9997879110969188,0.9989018068422277,0.970251726430068,1.093738230873398,0.9917718492432218,1.2211707736165343,1.5538454103468196,1.1875950574120329,1.0093258470658435,0.956885272144899,1.1012648797525628,1.0032119591653228,1.1361533268760304,1.11731820501434,1.082064236357289,1.0707053835483182,1.1333144079855708,1.3104561782669066,1.3812581101684887,1.5794105220602594,1.9310476924224682,1.8623626621703562,1.5501792841908182,1.4272276013762557,1.2352024603023715,1.2957587798882133,1.186915221579072,1.175327706671752,1.2149605034944657,1.0997722495243245,1.2567253747826796,1.1950966535460337,1.2926954501697898,1.2807204974330502,1.294351731793306,1.4149939657155335,1.4896783328805083,1.4260406531211132,1.4416970478420035,1.4247715657874964,1.4611082984784833,1.7623793103563472,1.839919047498966,1.9356210017915794,1.5560751802453288,1.6958123770701479,1.6319585506351881,1.690265098378917,1.9421383601512456,1.6479015333826432,1.637356335701992,1.6586511159031825,1.6440115299560005,1.6668729611897113,1.6075491925975234,1.5392900398074367,1.6237936724883728,1.6422937367261154,1.5419922479351236,1.5514083412927906,1.635455077880208,1.5953459459508057,1.5153934908293254,1.575505832990942,1.6298677379788769,1.5602861111764283,1.6207441196682777,1.7465265715884022,1.760418624568359,1.777938686027868,1.7664529773433502,1.7466938144549886,1.7689310642331308,1.8409392919853353,2.313939877966242,2.0712896680347117,2.0916710522829565,1.917703004273317,1.9359147159484469,1.8069133412667662,1.970917634825819,2.071861048975781,1.8692704346958184,1.8623821034238992,1.9505633827076165,1.9470630237087592,1.8898769363930894,1.956633628475028,2.154663236936711,1.999185710832048,1.9893637297089186,1.7798429265930467,1.7745381043576396,1.7014880592621684,1.7085126495687601,1.6682442182772776,1.8050097753064351,1.7303366579522432,1.7631592739499093,1.8066928602097398,1.701087175773564,1.633203977346935,1.6310822895328176,1.6097734254558296,1.5792291891974632,1.541265151555241,1.6325649111053966,1.579980777895768,1.532557663174515,1.598695083431227,1.6759503293469546,1.7094371608478744,1.7433382815746743,1.692972774778109,1.7822682682533133,1.8144194247458252,1.7290849425251584,1.7634780174402906,1.844817743398721,1.815102131466981,1.7903478482538824,1.8546446770871086,1.9736355698070576,1.8381070081637616,1.9010785817383518,1.9795898711676099,1.9842129663305417,1.9044161930684909,1.8015779235310079,2.0807870811052727,1.8868399768711255,1.8748942012680818,1.676504667644845,1.6505162667613222,1.5596993984747307,1.636218952974388,1.5981814040808966,1.708337559368,1.6917899522364828,1.692529418499484,1.4850676836320669,1.5450073440637764,1.2795915424277906,1.3349587759331956,1.3687290731318709,1.4604735698342945,1.393557420522683,1.2599910782372508,1.2660332284245466,1.1866555260791958,1.2678495225175188,1.0238135359047875,1.4111761296449916,2.2377976288792976,2.7468895909112176,4.164943282021173,6.252868521126996],[1.0638295214696156,1.1260828629864292,1.343440719990936,1.1263077505903347,1.3841544194348345,1.1846911796092088,1.129045924613807,1.152412745116238,1.0368307250945568,0.9356135619119016,0.8974314678130333,0.9744054978437096,0.954093395769333,0.8418934129283424,0.8920548789093036,0.9002963803854157,0.940824084556538,0.9026473028326015,0.8577851685457245,0.9704915884505138,0.9787437228727957,1.1206317490614444,1.139986001601798,1.184048229955407,1.1960262509617599,1.0410669379771587,1.1294277298724151,0.9687352382488469,0.9902653690371427,1.0292028500553008,0.9437282241163232,1.0357057082898895,1.0020650788676162,1.0063375382470692,1.0217924173766368,1.0145035855505624,1.0752750396010706,1.1138667675657519,1.108552289962458,1.2793770220758702,1.3828723926625826,1.246718131718653,1.1860157387208428,1.182976306196419,1.452628455635839,1.6743582691312127,1.9002920413944069,1.2411775338265272,1.176004375489379,1.4219957339376381,1.2206657241162722,1.3102366952617117,1.3086671239779717,1.2919615631657708,1.7329799571730118,1.233616859840383,1.2020225843937256,1.1882571521345704,1.1840519603317996,1.609705512672216,1.110116002225347,1.0553262622310402,0.9905853512262108,1.0886023285107844,1.0944295918252709,1.0318918984346457,0.9755038386102153,0.9067584922930452,0.8974642036105486,0.8766701990808774,1.004505998068234,1.0904359361061737,0.8988097485284771,1.0278153132248935,0.9573772206706928,1.3460429703007915,0.9409286458053725,0.9640356885616812,1.0098949466692375,1.0828486236127222,1.1548066823664107,1.2461811489755013,1.467052644234587,1.3758252503801938,1.3639752566321894,1.1937185863184556,1.1358448775175722,1.152109395308596,1.0114561925144618,1.0398934692067028,0.9640432249350913,1.1760283786812324,1.009389355485722,0.9144438210826292,0.9189878933283717,0.8934351179205754,0.9380928137610732,0.9594125499146499,1.0057321715169358,1.1068426843147225,1.1417824066395565,1.2988856160876556,1.2057898476237137,1.3162737399073696,1.5497691076068103,1.4098279847692985,1.567232961685682,1.525898448168891,1.4842816798628213,1.4596674771634706,1.3281975894143574,1.2640612742463253,1.1683562514626702,1.1313236860607823,0.9742026052374912,0.940432596133126,0.9533297667814216,0.9189845911149721,0.8633162960916555,0.8552152055977913,0.8253596103896668,0.816895151295953,0.8509764121448731,0.8886105341922796,0.9740277808596346,1.0855000556894685,1.266586891362529,1.3448594180134819,1.4076980243811594,1.4254129954170844,1.5113652447544355,1.5384714579486685,1.4507463332689254,1.4266497410712955,1.3919235693986638,1.3057850962228166,1.4035174782849185,1.2772400045194032,1.0710422766578716,1.083718872008571,1.1120143535851388,1.2514634501602777,1.0019181410971745,1.0271775832671808,1.131334205569804,1.1061773989990704,1.1045333121803482,1.1442868344914285,1.159028056432176,1.1544160487242752,1.273314193534845,1.184311679533023,1.3992951794078174,1.6977771688577514,1.349653576187346,1.1753216995776572,1.120706943289468,1.2452476677434088,1.1541036274935361,1.2874613286580254,1.2373514479817975,1.1901038775487622,1.1401968816965882,1.1771226500571506,1.3258923307420853,1.3550496826203777,1.5880355615848902,1.9187700497412095,1.8762585671786425,1.652085904168456,1.5038728588022579,1.3105293252632995,1.3585305813828552,1.250051185091053,1.2559677544684573,1.318286937984892,1.230404393687388,1.3327300690672161,1.256556499911137,1.3395734617409265,1.3357743990899653,1.3538299260536049,1.4101044391129913,1.4671492682714815,1.4263961361274238,1.4531329464135703,1.4594626153170542,1.4674429565972287,1.8551321372449199,1.839156446292119,1.9010777904359673,1.5187988814489553,1.5978642614522567,1.5417845953772924,1.5902700236636962,1.8020212284561385,1.62462008083185,1.6004319635292754,1.6203727943659803,1.6287243421882607,1.6232181638766485,1.6109497695201482,1.5771707393755925,1.6184036839304483,1.6253639615734812,1.579112878121911,1.5845745841872092,1.6415631226682994,1.6366474177400463,1.6047505757499565,1.6439003084455757,1.6982198657954315,1.6828307702548007,1.7446643894227838,1.857155533061969,1.8175593359403293,1.8125944961574927,1.7191291734708165,1.7104726691997352,1.7317140219492155,1.747363015558921,2.129791592977209,1.9031532629402685,2.0101815166030463,1.7852995048340912,1.7981289287951816,1.6872485368899879,1.7887758746188904,1.9244599970585585,1.7395139451450703,1.7612889229944972,1.7866327622576494,1.7935654916655595,1.7802172313198648,1.8299519290086956,1.938102315832733,1.8525609948871822,1.8839372031687618,1.7092024568966353,1.6882200623637287,1.6034307492165727,1.6085270982544844,1.6041003047248947,1.7280666886374765,1.6987264531561463,1.6969028793788787,1.7446001502184176,1.6783213766043565,1.6070006057703643,1.6474261797616636,1.6472366125052849,1.6532329431896888,1.620973509014194,1.6747866639107927,1.65347309319096,1.6628139449771207,1.658156504295876,1.6910939309624735,1.708728475841577,1.7088712267249027,1.6605189729840102,1.7027660575511947,1.7467704626244445,1.6852125001285778,1.6740922745141145,1.7349205976831306,1.7267610409948086,1.7042449125768937,1.7013844263379492,1.806635419092842,1.7188912246614323,1.7679162115548916,1.7900077783501975,1.8404705669729418,1.7575695227234913,1.704417043760297,1.8928571830383418,1.765322933201322,1.8732660731001334,1.6876374899211528,1.6719837371508,1.6383232174653244,1.6926957830472473,1.6497636059743948,1.7260503330813075,1.6686244525023497,1.68074237575564,1.6031074697406549,1.5708946737720524,1.4409855994249356,1.4563818321324187,1.443744460411864,1.5050904015756599,1.5426810921055887,1.3347056796044778,1.3837066095286714,1.3375207258476978,1.3731670508574343,1.2310249210068578,1.5570833198559642,2.37220888504099,2.7744056773859604,4.212183545725744,6.369699158097998],[0.6699984248867434,0.6999417927261018,0.8460927767859945,0.5988343897260099,0.87154424953159,0.7273821730720031,0.6452801197838556,0.6651744605799558,0.5840590431007671,0.49414212375212563,0.4690707982856554,0.5790945156141684,0.5201557493883394,0.4177018755408138,0.483595812620372,0.4887501359570062,0.5226936389463585,0.5266041739306231,0.5548085016705003,0.6510688200137766,0.7041465292157032,0.8695895652653268,0.9510692593475815,1.0254634285330941,0.9795357757702766,0.7839534202044216,0.8448913732447632,0.6273572933647912,0.5874386673383593,0.6012446291409791,0.5177747479978317,0.5990106050549231,0.5776950050677587,0.5871077781489549,0.6092701593207221,0.6137425823619947,0.6580000377464623,0.7524669690416986,0.7458127526512811,0.931657945818623,1.0819559185011498,0.9641772907565106,0.8978471162045051,0.9320104399334691,1.2947914599672157,1.5026396813293759,1.7762496045124432,1.0804581869644758,0.9755898217550815,1.218869162608103,1.0549150849114448,1.1508751335010416,1.0470861674501226,1.033153702109667,1.4172025899219558,0.9469026200284646,0.9720433885241658,0.9002660133933923,0.9042379752022469,1.5315785305060343,0.8893551962747697,0.8020580812294152,0.6954643607997998,0.8395037296775336,0.8375254987379724,0.7479862737111908,0.7136164739535941,0.5855779167690489,0.6366112335439261,0.6319111389003954,0.7940118761289986,0.9714052548263056,0.6662847500399676,0.8391880704673086,0.6485280181318933,1.0787445300729053,0.6083236910440968,0.5962466230289186,0.6317122967188946,0.7231882494762071,0.7633485389065191,0.8576449056786258,1.1022796699092388,0.9843032830866325,1.0013489742237707,0.8077993342704647,0.7594766620972465,0.7407609590753573,0.6345876467637952,0.6527853207799927,0.5692623181175828,0.8444398427455322,0.6599240731716445,0.49413085860437267,0.49132091877140066,0.5124199032734791,0.5850408888490592,0.5286467377172152,0.557321796783708,0.6785178923280488,0.6584415774304883,0.8196640831844075,0.7425810998478889,0.8533166491907967,1.1474555862664386,0.9586281896755635,1.108661579572856,1.0799869865574652,1.0202382109343924,1.0078104326810848,0.8757843608192509,0.8110722887212073,0.6937928089114338,0.6953619529356858,0.5700618874763627,0.6068937933359074,0.610442517416984,0.6340230073917442,0.6637280908104596,0.534619701392605,0.5311730866758583,0.49259138486266446,0.5234835682228599,0.47764293292645343,0.5202031418079235,0.6800506152245482,0.8054842205493818,0.9172240423658091,0.9753109993490571,1.0080182700395668,1.1303320804605244,1.156539854372289,1.0954572213663303,1.026148763328807,1.0099212160485995,0.9060018576199363,1.0002009349981824,0.9104580884338394,0.788749427273959,0.7763457418992997,0.8422881989595583,1.0647543594882114,0.751975044768603,0.7094461064677566,0.7894582994807982,0.7276114490126779,0.7295927107906867,0.719849581894243,0.6984424632738603,0.6907852750205908,0.7748746127926512,0.7169164738447584,0.9581189859093536,1.4223504912543616,1.0038506311539557,0.7072808121536827,0.6488034257386305,0.753091038495936,0.6850237160538146,0.8118398342663297,0.8072981509947034,0.7739985828486149,0.785890427417819,0.8246640596251925,1.0079820461537334,1.127407910908653,1.2936686307192786,1.7131102939446083,1.6274145461993386,1.3458855620773589,1.1473014131736563,0.953793403210634,0.9794230949590206,0.8668111160358392,0.8468910323528303,0.8648428391187685,0.7741256535629587,0.8851469735237637,0.8560283092418128,0.9247163938407497,1.0489952259447854,0.9327286600135831,1.0463547622935174,1.132684813929622,1.0746911639995609,1.1344828652065448,1.1353149675834548,1.205134670727229,1.6580158871299586,1.5879410398180775,1.70847264901883,1.2574064558909004,1.370714124174494,1.2797386994901874,1.2983121446887724,1.5498792060154216,1.3431114271080096,1.2665254983870977,1.2495531764241672,1.268890781458172,1.2076123647249388,1.161603622060603,1.130394180757059,1.1723287241213565,1.1582705873178967,1.1019276874343835,1.1417801743109892,1.1617904762067315,1.1356136630901992,1.127586887001074,1.1697128521242115,1.2233851629589954,1.2083863705202949,1.315448160478852,1.4190763507716182,1.425787755036935,1.349445962854572,1.2845540136155882,1.2514339875147265,1.268974513224404,1.3116745914341634,1.741131243450519,1.560474770203292,1.6865305351831021,1.3957318446086064,1.3851273390709333,1.272787130562452,1.3933428301307393,1.521791444758859,1.3304731428219954,1.375370460064938,1.4486859016799996,1.4556441360240158,1.4308066652398057,1.532482301769738,1.6863118668633352,1.549297106471888,1.61288977379585,1.3413225462783742,1.3522021213180286,1.2218561868609912,1.199384138658112,1.1831739775635761,1.2987009601743693,1.2942051665892018,1.313520131736875,1.3021223836301654,1.210263145895173,1.1879306941461858,1.1676579347587017,1.162732381658225,1.2017751562629035,1.1334855447933259,1.17856683642781,1.1708582163430572,1.194079355358633,1.1782052557425293,1.2104509031833783,1.2217341612845223,1.2217994256802007,1.178675548173359,1.2462756863542934,1.2836132109190885,1.218264827834599,1.234164316144619,1.3053109318673004,1.2941478186689481,1.2806922874203928,1.332120029218689,1.464158753637472,1.3098145418108522,1.405460912241475,1.4777657318877064,1.5443935278644065,1.4209320410677149,1.3115846430691287,1.6785717031840304,1.4109386278009086,1.403959572874161,1.2607571840510539,1.2274928254187367,1.2279416449192284,1.293387353105371,1.2429044748505629,1.3220299138140497,1.317255448509022,1.282469870337138,1.1581872124726977,1.1686361265164158,0.9666487004489335,1.0045543016618736,1.0088280186836893,1.040524577115343,1.1514027862371226,0.9444283124204698,0.8749743625159313,0.7883250086128842,1.027112087417393,0.7081395810446158,1.1052965520431606,1.8540179326369424,2.0702147562494995,3.176739560865903,5.201693114881257],[0.7372186704930349,0.7458940812651761,0.7741852127783526,0.6274176627116291,0.7769083134624276,0.7003243546166353,0.6025491758083881,0.6251817148750016,0.6250287703757423,0.5307429916889685,0.5434046896248169,0.6213913511450809,0.521017586613782,0.508148409002636,0.5411682031128056,0.5274698614389993,0.5526398875531782,0.5495901937169574,0.638643182141516,0.5971102289103304,0.6981509466696082,0.7931338478421166,0.9383256411788619,1.0118896094399243,0.9295027477541907,0.7713400992524063,0.7386511198056303,0.5653893332641863,0.5453081851921063,0.5190883492843602,0.5507832677340775,0.5148464076745508,0.5503978355146105,0.5195864112652675,0.5076665453247182,0.5254820546629687,0.5439707272605947,0.6373025546454263,0.6171171688870293,0.7198619824419121,0.9131994725904695,0.8402158687681333,0.782744317562264,0.8524209593816179,1.1875272299118256,1.3760893074252347,1.6753298399948895,1.0286808391326419,0.9405003232832868,1.1290797174699854,1.0207133586651018,1.152746415247379,0.9216214298226136,0.9130526381316997,1.2795321175688723,0.8203037853434954,0.8886717962939497,0.7894011251348833,0.7967601688262297,1.548640776908223,0.8798465896471429,0.7997846933407599,0.672856748539365,0.8039779779020385,0.7907955743371131,0.7038084537768796,0.7695191643998749,0.607003075309664,0.6828604682926127,0.7582329026458468,0.8472335303235128,1.0816328751659299,0.7955820465620594,0.9512168774621491,0.6500099140465346,1.1411821049913173,0.5715546253845212,0.5720372217865073,0.5563352062374304,0.6338889561626352,0.5920088104448266,0.6578849661776484,0.9725049478574433,0.7264518392323012,0.8022291731491045,0.6169448264274524,0.6031868296478402,0.6405038902532051,0.5385015036269208,0.5765556286256758,0.566683707410564,0.8788232544953088,0.7592314588606711,0.579531324750067,0.579222399238236,0.678387700378906,0.7278901007467644,0.5483152362384389,0.5459785870746029,0.7127736448580023,0.5829372313060003,0.720204107241405,0.6050752020170377,0.6979033892969416,0.8946183409051337,0.7432069204900404,0.9004553042497471,0.8357791657061975,0.7975769993512156,0.8238554079241143,0.702934418692082,0.6320355997510164,0.5743544950484144,0.5703609994810972,0.5179782346769216,0.5601610683320274,0.5557620767613067,0.6355710654962571,0.7265509144263316,0.5760541206949782,0.6153112805274277,0.5961907237372592,0.595728607150731,0.5034911468209563,0.5256403964228386,0.5682486804720859,0.6695381432489081,0.745129427259674,0.7674184602562972,0.7639583749225878,0.8908819452769632,0.9029972196429404,0.8416323030675288,0.7672205924909328,0.7612893551778469,0.7047892819089997,0.7962713317955352,0.7270996050333576,0.6562207518733681,0.6553590720275159,0.834117918690272,1.0815978045054502,0.7271971412065831,0.6164074338293034,0.6478939817467827,0.6235440267253529,0.6077562854380008,0.6046203850277027,0.5572214609843552,0.6227208380889628,0.6765702646804156,0.7114497112079421,0.9818360027523346,1.5155347237150365,1.0414448296572614,0.6777884332479718,0.5933606012631518,0.6479578006340441,0.5598904340550265,0.6291680827314381,0.6247743090285196,0.6112791657817851,0.6490475211589394,0.6673021220411918,0.7943642141543357,0.9853340293465894,1.0835379842483217,1.5428099467561476,1.4532971699462454,1.1600461330784895,0.9412859156282741,0.7801859463168056,0.7900682664046944,0.6623140100563968,0.6328443206161797,0.6338488014701691,0.6038028504204717,0.6830220183474152,0.6565054919263016,0.6749528112181298,0.8848290830883575,0.6857421924963198,0.7912881475171623,0.8745694189434398,0.8180689400070237,0.9059825076627085,0.9089762920948654,1.0444547089502632,1.5631290508540647,1.4150093890908408,1.558689252961889,1.0676707203266038,1.180658498051051,1.0783574463224017,1.0460246949261534,1.284006322271152,1.1285903068535226,1.0449038333483303,1.0235958058610115,1.0636432632172057,0.9955247406006845,0.9667873931676737,0.9318708644055619,0.9842816594598742,0.995806959954269,0.9683678243179755,0.99561678815009,1.043224405586563,1.0540631844814763,1.0639466851413588,1.120910133360954,1.2206650533190222,1.242362681660578,1.3405015878038642,1.4623909908718407,1.404320823567492,1.4024830736356946,1.2574448853164164,1.1830526553498404,1.2422857614529452,1.265654468570826,1.663341914619927,1.505051232380942,1.622813369091621,1.2394872527305383,1.2095811183150105,1.0901556773110421,1.1696318909917005,1.3468227765998544,1.1257249559664426,1.1790863204117723,1.2438310720592205,1.2727747661112854,1.228901777337548,1.329072022068935,1.484210088664105,1.3649192712565912,1.4275718921433547,1.1296013756820662,1.113271983252488,0.9867030737794185,0.9930907626488777,0.9937847012715041,1.1403366870136098,1.1189798299207376,1.0975588051977778,1.113136623803169,1.0470980336491231,1.0340188268710602,1.0421831116117726,1.0878315864438903,1.1713365124914807,1.0801704494477464,1.1256566714978653,1.1873138436120645,1.2302884014024236,1.1894715362255937,1.2208718610241802,1.183506726479594,1.1385536903158133,1.0572385558926074,1.1137611854173215,1.190296378575304,1.1006192853874575,1.0768510148652681,1.1714725283744045,1.170093963779129,1.1129022811316402,1.1622137417494267,1.3402386689968637,1.1596245787128001,1.2330268802180069,1.3309600818000937,1.4560571684113353,1.3131738103254431,1.1872721459302344,1.5702239636809,1.3624080175015412,1.4311596538416853,1.1687712287811758,1.1107626104987123,1.1161728615755433,1.1084726265085132,1.0682063448175139,1.1916096188695824,1.143399664811277,1.1116845606954642,1.0052253076230524,0.9548422311047056,0.8181244808049591,0.882114030978711,0.8621027735874274,0.9098761204012713,1.155592594222259,0.845641674256526,0.7927338891001257,0.7107924927665814,0.993964035013784,0.6746955734376267,1.0079841551923918,1.8465939222843986,1.8956752322317667,2.8212613544058924,4.867746233121789],[0.7833319533670371,0.7973913931295037,0.8384507566522904,0.6584551427952696,0.7505441132825118,0.762992613948187,0.6496578351126843,0.6687888635813972,0.7119643779766033,0.6324418856348978,0.6670943502289803,0.7190743156824396,0.6254505634472447,0.6622786402587933,0.7075815827935741,0.6525201862973776,0.650266347373318,0.6829195868189978,0.7865652178829495,0.6741173495845363,0.7871000151545319,0.8225152384398506,1.0321705753433619,1.0899766834243922,0.9092200349218234,0.8016815627588468,0.7290665303932882,0.6439806574186736,0.6280218240795603,0.5947780397002639,0.6733432757965664,0.6001320605433001,0.6695683398629005,0.6201897455383988,0.5983575899338107,0.6070678608379988,0.5786368751481274,0.670086048506175,0.627104282470865,0.6887278916787863,0.8241794672936386,0.8046423184983742,0.764093394134663,0.8517186396581994,1.1716924478632655,1.324613333219662,1.644495956553036,1.0574327218610973,1.0388910210515874,1.1646628829059038,1.0867724124166396,1.266803693986316,0.9434860471814117,0.9082667690775377,1.1755530082699146,0.8711920854739141,0.939476267231463,0.7808746803018634,0.8324927901274836,1.7044406161437122,0.9605222966521852,0.8716457233019093,0.7610502895366108,0.907957981276161,0.8703282067338579,0.7612805441178805,0.90485081703602,0.7381132527460609,0.8381180343353347,0.9280903563475472,0.9824857840543553,1.1981630989435041,0.9583622634416814,1.1071341261157246,0.7560217356581638,1.147875908206981,0.6801655616466696,0.6766473243601493,0.631452861075745,0.6787795063651767,0.6106860821040612,0.6369205132974959,0.9657328736937084,0.7139050956245054,0.761168440001444,0.6248565693515109,0.6051891952336805,0.6551617087127987,0.6049866020502964,0.6441974193382819,0.695561038276273,0.9726881753726969,0.8699796297565037,0.7296856101497543,0.7176937401044767,0.8281955193332768,0.8431511085021403,0.6621866846490623,0.6307220616631625,0.764461867098184,0.6215308241220923,0.7497748795682966,0.6001433214571559,0.6861659292639221,0.9048752981873364,0.7226395986639008,0.8687630258560638,0.8356362785783255,0.7995956730628317,0.8378596948919188,0.70005208534597,0.6168773957008161,0.5934864792505673,0.5789858429688316,0.5842588734815171,0.6190402517164784,0.6300589401372949,0.7020869663613317,0.8845906062580683,0.7160398239065431,0.7681372928711988,0.772153543672261,0.7364365131984031,0.608824763698273,0.5883014027658254,0.5520704808564597,0.6885805806613888,0.7178418637099874,0.717492342599403,0.7243389031355839,0.8503372911080825,0.8743413267921347,0.8162888146213801,0.7501728481999501,0.7360144983891769,0.6686079124670694,0.757269706048195,0.6834256447656588,0.6099606673968873,0.592983414621852,0.793387811010914,1.0728102290336472,0.76911519273594,0.6233238731271009,0.6297156724588587,0.6646898001192195,0.6519542132560071,0.6484194746969338,0.566661320446304,0.6510513788482268,0.6886195196720397,0.7536395614218694,1.004261369282843,1.5443066704564126,1.0762524895034613,0.7104429747142423,0.6281546356343434,0.663231002288241,0.5807012090923385,0.6102886665470975,0.6062665737614268,0.6204942282288769,0.6711012917677156,0.6894431032686474,0.7815599285513553,1.0066180698120923,1.0751535276063253,1.5542551894883085,1.432788477176845,1.1061551611213398,0.9060236774980513,0.7404311260351938,0.7496401031687225,0.6387164753420254,0.6156476628536577,0.6241492120959116,0.5955540114251904,0.6696735296509314,0.6580334219455826,0.6397569627192364,0.8836551281700658,0.6615797017910392,0.7677978923681231,0.8550823055084702,0.7934161820156135,0.8682621115240234,0.8509927929283642,0.9944354888591351,1.4773768436621235,1.4093568817962745,1.6013588762616429,1.0682150808203197,1.2131702174816368,1.0945925487327346,1.0578171075791993,1.3190328234458888,1.1147081411485156,1.0442024420246394,1.040440867347465,1.050845450652315,1.0405432774372414,0.9903830079260195,0.935633066376755,1.0334634674201422,1.0675107888283377,1.0153904405670064,1.0508677677724054,1.146075317433851,1.1502861946999294,1.137937438460797,1.2223131772564226,1.3342829179827442,1.3205633994141763,1.4057031572934628,1.5901132941344631,1.5399920689997193,1.5377448789329713,1.451518645267934,1.3492779013848728,1.4238793940285248,1.4540783502698285,1.8996526140808416,1.688404451054631,1.7624031996811647,1.4184104485989124,1.3652782249626798,1.1916755385176176,1.3033134216912103,1.4910742199292104,1.242491922556816,1.2378774126955627,1.3526621462430477,1.382653803202429,1.2939981013505986,1.396658534161267,1.6381834026797657,1.4668640051165147,1.4655633842078357,1.1817795927933858,1.1450594622639823,1.0431145721023543,1.0421766344000134,1.0135361221783041,1.1854688090734964,1.1399314237880849,1.1242411589859782,1.1977124149677048,1.116341723148451,1.0689428974525992,1.1075040911171907,1.1655032065130466,1.2356680273079736,1.1560529375257382,1.2306109515611567,1.2751338851924932,1.3182223198358984,1.295124897605708,1.344556761308607,1.3247843250902631,1.283331210046684,1.1687212374535034,1.247317669580414,1.359761064991233,1.2327368686347506,1.207944228993938,1.35153139988624,1.344943740313505,1.2483452651252211,1.352537284974694,1.5453801508906087,1.341644790323728,1.3709342032674887,1.520133296025447,1.626287291616657,1.482118776843409,1.3461016677225515,1.7799725076054191,1.5399628040426037,1.607854226223003,1.3238135664305493,1.2448621043062456,1.2076937382644315,1.2358205268135105,1.1551711205755015,1.2605391677071154,1.177814180944673,1.16500825289311,0.9841682119577722,0.9346979640757206,0.7572517727943893,0.8637301834122939,0.8538985353308187,0.9342772146320913,1.1602013984742388,0.8580153979736733,0.8141003962409484,0.7475092621165446,1.0364918305414903,0.7201941359951379,1.0950221722027147,1.8651773890004515,1.9324246420129751,2.8519097258889348,4.900080268000049],[0.7851106856636604,0.7933873324180665,0.8254204839678835,0.6808562275283737,0.737204547842272,0.8394626146549755,0.7336805607487845,0.7391853090205023,0.8244340292156244,0.7696617949348993,0.8064292419726754,0.8438709825300278,0.7604762297787909,0.8071893779878545,0.8596037856208146,0.7950137407468978,0.8178855804728214,0.8321645484903789,0.9477044887723625,0.8355054010206113,0.9414489827577018,0.9571320259385159,1.1774649322721777,1.2192935139509118,1.019321432660556,0.9329157328559948,0.8504073160180952,0.8041350919666762,0.7845931760029934,0.750101731786167,0.8319384219255224,0.7426564012104926,0.8160039915806576,0.784231293424212,0.7713704032942189,0.7880746958006136,0.7484221773042321,0.8251395874544443,0.7588503986679518,0.7836620771907035,0.889783422064947,0.9268357045157606,0.8972921023670929,0.9821288610938528,1.2275402564791191,1.3275872818051015,1.6981024538067704,1.1729115304481526,1.2089087490454113,1.2937674896093443,1.2332073674681283,1.4339098902765213,1.0661196909598327,1.0090062438492429,1.1633782787982225,1.0497323943767056,1.096390749194743,0.8891015248232993,0.9794480059813476,1.875173936958913,1.136186500782899,1.0577127034482001,0.9392102415957773,1.0672890578010483,1.0295507137569733,0.905260147549026,1.0419208338949453,0.8945847979658421,0.9979422054626716,1.0799324480442665,1.1068445707149352,1.3011577985359657,1.09820698053954,1.2336208795843957,0.9181210780286624,1.2049086571536918,0.8652098519944563,0.845137904499401,0.811553618162478,0.825936814018196,0.7627098457491548,0.7523652784520856,0.9876033202512807,0.7795339677565059,0.7964943518937414,0.7446659117034304,0.7569082389215448,0.8052867849769869,0.7797357642345859,0.7869771109223546,0.8701858140938062,1.0982061897318476,1.0087363368477507,0.8814436808377135,0.8668992197544105,0.973913496938402,0.9652378409204568,0.8198153059189586,0.7726366347965862,0.8356324584553447,0.703862234080097,0.7746501133070808,0.6756089921896679,0.7091047681801679,0.8882985934299619,0.6878567637017686,0.7784701482760362,0.7653415005418426,0.7067380630942005,0.7970727941162995,0.664588933915634,0.6463728771534988,0.6743795448462593,0.6810242523039954,0.7269498758574141,0.760304580214318,0.7739083580045176,0.8462767632558602,1.0408494814557478,0.8611526866588839,0.9001973483443316,0.9212744967512262,0.8848018077642895,0.7686710664951882,0.7369763196716623,0.62914241272749,0.7310587748907466,0.7123545824995425,0.6430996678232098,0.6628762952164371,0.7403356666006092,0.7471806343203063,0.7362673562765287,0.7008026756240254,0.6991728565838915,0.6521225308205214,0.6894396448231046,0.6885309069092129,0.7006285826351554,0.6846134726732382,0.8644825921801441,1.1833684704782732,0.9223170617073796,0.7612786294677794,0.7692682205923331,0.8111151508975264,0.7935349329357609,0.7860307067321483,0.6705461115965543,0.7348389698799036,0.7132137472667578,0.8119585669761555,0.9875559779268204,1.5020159782919287,1.1064676984342448,0.7683621588083566,0.7115671677842949,0.7023216634795806,0.6812875340214715,0.6481131772417327,0.6782705790177044,0.7259036339845248,0.7847242584794084,0.8105891308796935,0.8461421052804559,1.048284957588226,1.078957534367267,1.554169714014507,1.391553618953272,1.049918104789211,0.8632543187199202,0.773775445876858,0.7846840152703861,0.70374645393974,0.6885132792966222,0.6828379321450144,0.6916005112215032,0.7169133034542818,0.7443950584909269,0.6725096968926012,0.9462525068424101,0.6608193540359861,0.7361376814167481,0.8452283633105803,0.7998605851507362,0.8903695715980581,0.8913214700964094,1.0182357315810926,1.4747902082503541,1.4031780244458167,1.6327127422657703,1.0832090137782031,1.2255444734658292,1.0772328600989678,0.9803448601870032,1.1994057603955932,1.0190344856828946,0.9200434370409801,0.8874154138954493,0.8960768527431415,0.8663350344028008,0.8178752147442536,0.7758265368028934,0.8543772150645152,0.8868886379288818,0.8540369099186156,0.8875465183251812,0.966232087836911,0.9827643487967201,1.0186137633702892,1.0946928759063377,1.194882870509296,1.2018392219203815,1.2961394847029393,1.4800435976521746,1.4453959191617898,1.3625620863824006,1.2765526004302659,1.1673517430411653,1.2300726621449678,1.246511290638599,1.7415350789892068,1.492264917238505,1.579381394028439,1.2199673108959044,1.166915839897328,1.0141333008305367,1.1294358186357487,1.2961474881702768,1.071169660690766,1.0571858109282304,1.1958492793323126,1.2068986212081751,1.1162890653409452,1.252191485735759,1.4930832244828036,1.2986814232757873,1.3403981274987513,1.0032693393326588,0.9933346269627221,0.8797215711667367,0.8744869097216729,0.8827092511187152,1.0180335130566889,1.0268767610920377,1.0150570360999545,1.0357730665476517,0.95410224685206,0.9402339957899655,0.9418422858797932,1.0122473543920627,1.1151594291394262,1.0204153751013965,1.063969104342389,1.1338275164369997,1.2186435190524152,1.1508267019448422,1.181329011883724,1.1475137051602535,1.0894837333596872,0.981522793989287,1.0424010680576026,1.1604931405792522,1.0441601780478573,1.0078858546597587,1.1489758910747248,1.1509509693036657,1.049228330538518,1.161543897419343,1.3608207894083624,1.1467890796892526,1.1908864066574143,1.3656599045276716,1.478320829773289,1.3016752077093012,1.1626061592740349,1.725110494241878,1.388743133147505,1.4269575370534828,1.2044716284920531,1.1062694349478652,1.1123502943688741,1.1615897510055953,0.9944936763632806,1.0579197431369087,0.9746362750499714,0.9670887020659082,0.8209624217367839,0.7811545598228947,0.6702885156281854,0.7508851713651666,0.7560430671908067,0.8047254615256918,1.1044304999403445,0.8077340000753874,0.7087990214680685,0.6874637646318141,1.0577637206600297,0.7182576437064634,1.0887530998511883,1.5791764253217375,1.6133831977656585,2.3023911711815797,4.165991021410549],[0.8959939704994083,0.8767376607832874,0.8509905134409383,0.7671529536127258,0.7945808908604496,0.8737197165139902,0.8152779911370747,0.8312876214311445,0.9211209836617977,0.881255618323827,0.9368232830863303,0.954639501501314,0.8797889910485194,0.9474825598958944,1.005929066373043,0.9371735195715449,0.9328398866727463,0.9632107015583672,1.0782428326396987,0.9515649379108858,1.0533943426506263,1.0666816869691993,1.2831465019817638,1.355218675262004,1.1036885419061868,1.0467485356921895,0.957258062826801,0.9249083390475467,0.9126573362004674,0.8730372273088725,0.972975230030026,0.8818520160694712,0.9704372394894484,0.9382699787307452,0.9172801172632834,0.9225781522727522,0.8719879152063976,0.9378578202627766,0.8787844968396823,0.8889131591853459,0.9882613722142463,1.043525354525286,1.0242723552272504,1.0965810691516735,1.3117317656541405,1.4043501878930325,1.7350559196472974,1.28676197803207,1.3221135016919812,1.3977517348500117,1.3328237715706899,1.5500445891003174,1.1653323471172623,1.0954360561960195,1.2235202692111466,1.1363690116027083,1.1694449470933383,0.9874783875160298,1.0798023650858195,1.9541178058476836,1.2348168108766568,1.1514702427679289,1.045414663135964,1.159630760769173,1.1273835537490222,1.024087222738974,1.1877905389292651,1.0253468447906393,1.1247657487848033,1.1975947841990089,1.2124170819743927,1.4096602165676648,1.2255526020425647,1.3868900428215383,1.0436722173668327,1.3568440039898293,1.0019062647055803,0.9990946177128397,0.9658856819741286,0.9647033887778962,0.8778769941968875,0.853190228865738,1.093998150365332,0.8795934853961113,0.8900335171325495,0.8519408413272929,0.8929554232253979,0.9215515419563821,0.9128879291716908,0.9415672638835141,1.019511887871501,1.2546792522964432,1.1587707194046661,1.0513520281837208,1.0213407798653318,1.1460880914800475,1.1132211098153062,0.9616255739312656,0.8986144248849909,0.9225149999000685,0.8343345588364781,0.8893052853073278,0.7863916858591561,0.8027229242602449,0.9176203709886878,0.7693767620432581,0.8178342721223304,0.8065620296939775,0.7575433384827531,0.8310212473220161,0.7324396495100239,0.7272679273647966,0.7626733373403504,0.7572513959898718,0.8305127479474685,0.837142434727254,0.8796335340765631,0.9611245239921653,1.1650408615484777,0.9997189372458714,1.0382700377018226,1.011721580971481,0.9640328829606999,0.860854149597874,0.8333627939961279,0.7231942349502744,0.7847785261106116,0.7759248381049622,0.7124906860312596,0.7226807991524945,0.7693873757739181,0.7770969991280465,0.7760990071556249,0.7309217176404007,0.7347909009533232,0.7321339749189436,0.7526325219442579,0.7409947484290264,0.7626364231488303,0.7812047427001623,0.9649155049577152,1.2566127012090627,1.0520565497666055,0.8773860923340133,0.8962052607645262,0.9195335597726809,0.8885948365548506,0.8629573920902188,0.761072950792661,0.8396726690211561,0.806596805421327,0.918379987617775,1.0903291902672338,1.6727398401278382,1.2254603965134552,0.885769149672326,0.8351644985910427,0.8039276909979017,0.7981513710542683,0.7580514272115199,0.7790257158418712,0.821879468466269,0.8710585983934321,0.9042479119895401,0.9075601525040985,1.0783828573520204,1.1135431127876385,1.5861328359989508,1.42390616431558,1.0881800198556593,0.9016241175781797,0.831072486432985,0.855384262322903,0.7910150860684939,0.7847521042359573,0.7605824623503572,0.7921353844057065,0.8106533031832427,0.8307467027647097,0.7466924679715599,1.023993370354784,0.7410745558095526,0.7987138847832248,0.8876336023402139,0.8461646102813991,0.9510941162293437,0.9540295641663119,1.083732323183756,1.4983625868605337,1.4244208430557195,1.6484527852280904,1.1490523195081923,1.2565043799719862,1.111138433194114,0.9913126662122363,1.1802969564336543,1.021610091718516,0.9262657745754522,0.8988900351863215,0.9533609696139196,0.8922606922722351,0.8713914069363241,0.8395765526951017,0.9017408943575513,0.933922315065307,0.9296351706297974,0.9645024072113226,1.0239949440958191,1.045023089131039,1.0750528820913952,1.147062382501056,1.2506174342382577,1.2718157825457417,1.3713506304060104,1.5270079503033762,1.4683784741110126,1.4509672091611046,1.3210915846728641,1.2096828292534214,1.2855082712297012,1.2904085225667086,1.7286418094813942,1.5176430193730674,1.6208670390618223,1.2320878169791059,1.1577346774728745,1.0178104638845271,1.114502133391643,1.2810400670513442,1.0584988822676544,1.0643633313959335,1.1781765396030497,1.195037630628389,1.1119840545950967,1.231525594260588,1.4600320907690942,1.284867432186529,1.3280298754423612,1.00523282903005,1.0063340375221015,0.8938569914767179,0.8987510330316538,0.9014781414799485,1.051568007026437,1.0421596357497547,1.007325524359881,1.0439140313129367,1.0022486450364956,1.0202216371699875,0.999319074905134,1.0880318948441183,1.2053890255613424,1.087643104132016,1.1263742108852768,1.2024246234284686,1.276711878188414,1.200547179497416,1.2248839000076528,1.2002074528869597,1.1368542241906403,1.0376338018643472,1.0892131609453128,1.2044107321189663,1.0939762074578374,1.0431368657925713,1.176666093362468,1.185847288789102,1.079559407206012,1.1734239400090927,1.3856210598225627,1.1625204249018617,1.1947310360958765,1.3598986820263819,1.4818016405156522,1.32322602849528,1.1773842711417182,1.691693648686356,1.4075167459269164,1.4576159393668073,1.2282422886514464,1.1424378341661408,1.1454967301911958,1.1656621249915926,1.0375297553266138,1.1006936432842311,1.0113498817456104,1.0128472960290371,0.8836480145881488,0.8313503357540389,0.7443252768716143,0.8314121753821155,0.8439317317048167,0.8956402365334085,1.237404487781774,0.8950502159111242,0.8092197714232995,0.7861383017868622,1.140740523645223,0.804704572138333,1.0840714829763065,1.703245004275385,1.6531907828455723,2.1888277126300206,3.918926393721652],[0.9297275421241334,0.8825586264367807,0.8710175553686156,0.7655288885302054,0.7931752341073262,0.9072714920845972,0.8555493475185466,0.8703160014369115,0.9891620764975488,0.9593836790124077,0.9987398824161949,1.0090351462332505,0.9614352872934148,1.0341013508993233,1.1403836054674017,1.0661163337326591,1.064458464647372,1.126695181983524,1.2461944197555408,1.1314490457362072,1.2519675101354615,1.2837147982106056,1.5111972595628471,1.557736251788549,1.3101876080784163,1.233103110431766,1.1030623568832294,1.076111055980778,1.0519128170821124,0.9995548208870061,1.1486791305845991,1.0164695003936397,1.1246983191222646,1.104184125857372,1.0746937479186005,1.0815438675487212,1.0066377204021049,1.1143693373602455,1.038220654834176,1.0958989694717975,1.1420726029229646,1.1988166723877416,1.2170589002956467,1.3329983126343625,1.4787790743280955,1.5739737961094231,1.877413634136069,1.5293780816312068,1.6169305675434185,1.6552677485278484,1.603278320871216,1.8270421704555615,1.4081328571165244,1.2857106285522029,1.3008499078030034,1.4227354363928575,1.4300753854867723,1.187157186110923,1.345977993834716,2.2200278735798316,1.4884768240830115,1.4010992307052075,1.2672233949211098,1.3871435464718744,1.364328917995934,1.2330075043868778,1.395608567029172,1.2016180112851507,1.2912024310026935,1.3460651897599665,1.3560196992294782,1.5563237490650867,1.3659976461731875,1.5504616557746531,1.2066191448154537,1.614934994083314,1.1787795489732509,1.184143371557855,1.150273559624232,1.1503790610188889,1.0530351321968494,1.0308313425285305,1.183838430396788,1.041648101893909,1.0475515820204682,0.9927922935481096,1.0607360710922136,1.0190124718994702,1.087967088618838,1.104894238715586,1.1960989095682666,1.462141420132399,1.3802239302027817,1.2261535048868888,1.1719176035588976,1.3019554859077158,1.2317393170027495,1.0833954874799487,0.9805864721933858,0.9606644332837851,0.903056218317905,0.9366447545513849,0.8789848195612828,0.8567814695567002,0.9330167282146246,0.783862875686661,0.8004370115199253,0.8067495112085963,0.7308916973035156,0.8339655487948797,0.7120391828040962,0.7703854952129092,0.8160185066011949,0.84483355394314,0.9126381823749885,0.9332435780120549,0.9952266326006088,1.0764051245376993,1.3056816471661772,1.1413788547063,1.1660366260642443,1.1102990161717434,1.0420999247181806,0.9372523665289285,0.8946453469349503,0.7856284906165104,0.8474471473914457,0.8123066269100764,0.7047769032078369,0.747078316618077,0.7642906213266203,0.7790137432115972,0.8356581607598242,0.8160724980831308,0.8275996469883898,0.78617983837006,0.799486256122702,0.7955441802550863,0.8553962247757873,0.8693686657826211,1.0835562004865418,1.4131341191723898,1.2189285632943614,1.0370208028504402,1.0799235302046795,1.055093470882913,1.0176750385381275,0.9758000951154754,0.8645494928371481,0.9170776320875857,0.8574161920948639,1.000417548261133,1.123342123431763,1.700939398881153,1.3269353416546577,0.955669455536791,0.9022596452755524,0.8551038499686849,0.8754434020273623,0.8163213840053148,0.8714261183836264,0.9658403775457566,1.019456916417697,1.070039204128309,1.0353892428459377,1.2606685306532537,1.188838626359713,1.5891511924818904,1.420443060521245,1.1133341561161763,0.9796124874621935,0.9549015280863465,0.9833676982368205,0.9158979892129999,0.9176912272187367,0.8859207266330741,0.950912880248697,0.9574107547988622,0.9798183276561058,0.8870458292914315,1.0854955695515405,0.8409523526273233,0.9227806264725585,1.0162540758872842,0.9903209378518453,1.0854301370069215,1.1433713007581265,1.2095798528015425,1.5412797501826245,1.4957284743201844,1.7268947947162248,1.2446633390427515,1.3332413879579423,1.184317619064491,1.0516036769990298,1.1813197341015786,1.0467756271511583,0.9336621163806158,0.852273815283157,0.8793139266696568,0.8308664730435171,0.8024282023092625,0.765094832920809,0.8297420677272135,0.8658649138328335,0.8711069791643371,0.9104690780864779,0.9693425657125309,0.9983610232056045,1.0546231328400606,1.1225485591961335,1.2238607604743086,1.2720082973665843,1.3776677603792462,1.5404951104011813,1.4589563159540384,1.4404960161334701,1.2698014569262472,1.1544263487782531,1.2305402833839005,1.230559952985796,1.703398947354203,1.4670522734871487,1.5467351158641611,1.166164651195084,1.082027963772685,0.9472592784121674,1.0525024417562876,1.196972658595848,1.009397679611866,0.9855192105468171,1.135642869602374,1.1396415616811537,1.04271775133425,1.2115128578180072,1.4433857355536692,1.2453187831437813,1.3235882166098605,0.9548305460155223,0.9922045110168874,0.8454613703925745,0.8477392534938628,0.8709414334802293,1.014024064798165,1.044268317085749,0.9979485852485619,1.0024379700604735,0.9397570919379313,0.9604377194425474,0.9467663674932952,1.0380687285197945,1.178147171507996,1.05283150493523,1.0870682133061629,1.1932640610649081,1.290134133746401,1.1858231978126383,1.1976351173677553,1.1541141170683364,1.0737914782463964,0.9648401678479742,1.0197172366070082,1.150112272455986,1.0417874374153568,0.9792312277561203,1.112269971094375,1.1197053260558432,1.0155120402004194,1.1368368865884,1.3249643593384675,1.1212383749616515,1.1602631205622242,1.384831687872022,1.4880795190862806,1.3018146715320837,1.1323974197350204,1.7053033996771474,1.3767678020999066,1.401494532174729,1.2064703694365932,1.1151891471667261,1.1454102223864586,1.182196575220102,0.988428038051482,1.0226604447291994,0.9381626707503042,0.9283650785682257,0.8123098199671811,0.7601566613326587,0.7044722807694557,0.747136077666205,0.7660496602677458,0.8353206964520076,1.2455290531710788,0.8537204634249073,0.7773359554834521,0.7782588277111387,1.1391993964713487,0.8056222239832318,1.084729873921745,1.5938102410745434,1.5849608726136737,2.0560593282120867,3.5781260637988686],[1.0170532133902621,0.9841153150940005,0.9552846524836843,0.8717009076843558,0.8559963266386673,0.9526178344071178,0.9087032323095371,0.9373789829418846,1.038265366121737,1.0143949566909616,1.0655705036787757,1.0858120142396026,1.029120061073541,1.093707927365891,1.173362200848002,1.1219811232311687,1.1073586675324938,1.1669484542127055,1.2749493823725189,1.1483015983660858,1.248468104146755,1.248242460335822,1.4626554574008954,1.5231230171918395,1.247006323494778,1.2155736846154057,1.107190598066319,1.104031523927727,1.0981603963116826,1.0453522353138933,1.1747577354773415,1.0759281688077795,1.1756361733965024,1.1432680822394743,1.1149091427483864,1.116612554125288,1.0423495680120238,1.1208188158201393,1.0376112837585905,1.038136705307618,1.1156698060854897,1.1858650298736007,1.186716635347037,1.26797846359878,1.4568577670815532,1.5589994064243122,1.825528116992625,1.4668037329274852,1.5222610901101505,1.5742335933446103,1.493394448479132,1.763055006366864,1.3464009821856904,1.2395684866692511,1.289322695617771,1.3213497209030431,1.340680126719481,1.1419342151594858,1.2627111484785998,2.128716473015848,1.4332292605749979,1.3535241624029335,1.2448327760856581,1.3595880329953278,1.3314161481949365,1.2283741228180067,1.4011218405798374,1.234707929368185,1.3078127980343122,1.3928125334887154,1.3824023900401445,1.5631313627161638,1.4101164921838834,1.575291819326738,1.2439962975902341,1.559751622241125,1.2121581556236212,1.219732405657968,1.1782853706233507,1.1515187973421506,1.0674358356893214,0.995249400661265,1.2032288090449101,1.0067169395370739,1.0216622406237357,0.9953924449959427,1.061741996008263,1.0711936556103447,1.1111766314347813,1.147594638246716,1.2262406645154862,1.4537739057756818,1.372911821936438,1.2542144223190277,1.2132864707979145,1.3340452944707963,1.272746817891646,1.1335454652526233,1.045221379537317,1.0515133426342829,0.9930477586231785,1.0226809138911888,0.9447479819875275,0.885801226555837,0.953858592821241,0.8455525079009378,0.8366619933116002,0.8063066388730528,0.77318512826988,0.8727628430801937,0.7866214358923568,0.8079583463171753,0.8588278292669915,0.8719593285058582,0.9726935942930153,0.9797177593434229,1.0358153391511926,1.108335661548032,1.3410097587944945,1.1913813731934497,1.208633230042266,1.159624488169441,1.0902630385168242,0.9766565056838922,0.9368018140782183,0.8340659622561181,0.8548130592492933,0.8191925736551084,0.7368089366644633,0.7610998114040486,0.736493433455228,0.7346915452405947,0.7605431086252238,0.7780903099915161,0.7643022444257368,0.7787538242757734,0.7768029724530061,0.7683546533968786,0.8289664531835894,0.8763062336745095,1.0737335215842967,1.3377163419391886,1.208160082424048,1.0402681905497095,1.0708756573454583,1.0779442533958516,1.025906868913388,0.9909078093364927,0.8913331821770756,0.9537294950656078,0.933453821000373,1.059853899788797,1.1959128160350958,1.7654552647949104,1.3870081031226331,1.0258942662156665,0.9798894711744011,0.9272957102495487,0.942296799616213,0.8693895584618179,0.9022579048216213,0.9725724438323319,1.0045383122552813,1.0495190004047321,0.9926530109593975,1.1711891840381585,1.1391889656252543,1.569992951196039,1.395483531647954,1.097586354932354,0.9441194161459596,0.9018445496935638,0.9389946757006167,0.9045666208639705,0.9288375553629311,0.8988304241187103,0.977594713265624,0.9838183287785874,1.0008555893363995,0.8946391920986406,1.099179193724861,0.8373955833428288,0.8716640407495351,0.9212365637819286,0.8972860653843464,1.019172163347572,1.0554664784231769,1.17099049376377,1.5512189535022984,1.4571835706475011,1.6692798433659206,1.2162650649354683,1.272246396850034,1.1199321326476863,0.9627921428017281,1.090560526165468,0.9692766654450501,0.8674672797446867,0.8252673409488291,0.9082374808110717,0.8623352419579833,0.8766681408130096,0.8419086195086407,0.8863415613176524,0.9410652707942616,0.9714453309297059,1.0015456308000878,1.0434919072435445,1.0919111732330182,1.1402755766038426,1.201928281511382,1.3067613994761584,1.3494001346175697,1.4322265285131948,1.5967134653683848,1.537044675198188,1.4944769632918014,1.3397862592680077,1.2205205736797389,1.3056035104494061,1.2691155641227279,1.6994862729031979,1.5023263198413714,1.6157632291828616,1.1760418591751804,1.0813956917353584,0.984555966279324,1.0141630680497364,1.138633773047572,0.9791521779825282,0.99088742641944,1.0840340957921066,1.0990734379767304,1.0059823275770672,1.129498201535463,1.326956661562512,1.1456827842014654,1.2254007146932375,0.9271284403592545,0.9774813164907725,0.845379028411972,0.9062596121024544,0.9129516606146351,1.0693683321712382,1.060280554012218,0.9902358670991559,1.0581221723209924,1.0402736831403232,1.0554999843929127,1.0508475394571903,1.1536817893825586,1.2913942837373638,1.1587801223603345,1.1900403633578953,1.2859390646614148,1.3613851782602908,1.273673798965501,1.2791553852884432,1.2301481087808404,1.1471777483083214,1.0444953153582972,1.074904558207993,1.2024991825004356,1.1061206919714675,1.0210286420206,1.1365841120608615,1.1603812986167803,1.0317192277057943,1.1060782794659367,1.3311737426637347,1.118983090744502,1.113256509453434,1.2753685981903609,1.4492746376770627,1.27217811495771,1.1436674888087917,1.628874420991365,1.3947864080038366,1.4503825350235144,1.2718242375434083,1.1883705996841294,1.214187301000579,1.2396714824079442,1.0484548906201967,1.0586547726085431,0.9276023512766083,0.9670777666472167,0.8837801968049807,0.8003614924462461,0.7772419855290268,0.8770629028558127,0.8927926966286849,0.9483410713994238,1.3755621925230899,0.9535340580091244,0.9048480511295669,0.8957111140238044,1.2043012405308586,0.9160644130781553,1.1446786785918817,1.6302813679962334,1.608838869019,1.9533728831908188,3.2624949539091137],[0.8007557265685173,0.7792860603911851,0.786069784086682,0.6859406734235944,0.7227774316871554,0.8113656229614827,0.7452021718489399,0.7574773923918593,0.8478705440571885,0.8084876598814537,0.8502728741633337,0.8735418970454248,0.8172700002015476,0.8695040914876316,0.9403405099465117,0.8871393615589592,0.8920302921944159,0.9268970273354205,1.0448424591116936,0.9154438967522412,1.0224419780435543,1.0254623078076117,1.2434330368550415,1.2877096263870778,1.0506351572678079,1.0029535142473958,0.9111127095391842,0.8968416972372798,0.8842715790438374,0.8354582786981084,0.9249644243755121,0.8272440758234954,0.90959813086303,0.8855128772566631,0.870295973238744,0.8773180184764218,0.8351851277965708,0.9220337061303281,0.8578154182800228,0.8750163103220316,0.9474349397289473,1.0000233038333393,0.9942885282581004,1.0980680449565619,1.305085270337383,1.4290287582791574,1.7040424325709405,1.2939898697070882,1.3581256812430234,1.4238493830554297,1.3455593607616159,1.6022246053932672,1.180337037706686,1.0835344624794332,1.1729195682056999,1.1476267929112034,1.1910714771328095,0.9621562816393876,1.0757253588133477,1.9902639163348126,1.2396263643089962,1.1330912281971741,1.0110383107738146,1.1276122658789376,1.1033186790941256,1.0027492391872108,1.1660206370396493,0.9907717407184461,1.0766489392968734,1.1509304493018937,1.1641782024385765,1.360509270583905,1.163819141366427,1.3404187267621812,0.9872290101240395,1.3257207587076203,0.9630209565844084,0.9602286251460307,0.9297850578400776,0.9449147902922927,0.8511760902190729,0.827473886193198,1.077433743803197,0.8648114538484342,0.8869405172480737,0.8279423851332034,0.8496214084164115,0.8794146994863186,0.8770844672668471,0.9051381766998216,0.9740608577955212,1.2119264728214305,1.1232923558803318,0.9897013457761219,0.9606184433596812,1.0770064574969744,1.0582662340090558,0.8988655876828876,0.8224717501875658,0.853280828178141,0.757841549978546,0.842119512764801,0.7426116701808109,0.7397622281052312,0.8718692482771467,0.7101366436071775,0.7370139134142084,0.7368574190044131,0.6725469560337708,0.7725635868911457,0.651971553145047,0.6679796342467331,0.705622869875685,0.7228876908773385,0.7878805372864265,0.8088601945166398,0.8441918371763548,0.9330300868703812,1.1347414888333234,0.9628714042418806,0.9952345915579287,0.9722826029169839,0.9292165051460599,0.8156219448830634,0.7709341624873521,0.6878660181881677,0.7301824214711546,0.7204091705405455,0.6314909425271579,0.662607072526227,0.684798530952787,0.6902106132393884,0.7251830466462389,0.7063932106213171,0.7058906821893918,0.6974164956254212,0.7135102725881188,0.6866013883936724,0.712987451897728,0.7427692753311808,0.9584145432551996,1.2262336488070111,1.0371029341013975,0.8737468915795508,0.8887336800961844,0.9033035816868423,0.8689242002080719,0.8333102487130238,0.7267268970118463,0.7900606019951305,0.7564716436367162,0.8700481674374247,1.039822681554387,1.6104287705559603,1.1974494513498453,0.8184027939974072,0.7710918941430056,0.7487917291588485,0.740573834718304,0.7072910926842099,0.749606602687491,0.8120589976218668,0.8773478220323497,0.9128086924147183,0.8922402488867375,1.105844017668922,1.113363647187973,1.5843555968674612,1.4166205019860785,1.1006902337056075,0.9151420334851288,0.8241555890146368,0.8475656695748768,0.7786281495315854,0.7757622099105747,0.7475015289400314,0.775822013154431,0.7964774095716717,0.8386349772797853,0.7454502481247123,0.9887376123359006,0.7156120579503773,0.779820050839495,0.8554575794941381,0.8297572960947354,0.9308875333327938,0.9385929907884951,1.0622580739152616,1.4709558574845432,1.4070504507990578,1.6272909703076635,1.1541366393604833,1.2539152089545982,1.10666501916919,0.960820868251743,1.110009009342117,0.9490291761326355,0.8333595958718513,0.7936682663873659,0.8542782116156477,0.7904668846258214,0.776771715134701,0.7473659107747741,0.8005706750145055,0.8352894433039719,0.8428485109712025,0.884214499245416,0.9242953129479173,0.93999181589709,0.9872611661985291,1.0505523321500903,1.1342737696653542,1.163773387433102,1.262527832905264,1.4120847857961931,1.3795677327333726,1.3186222966680017,1.206296206119727,1.0983955483862813,1.1559306275536707,1.1404295295564952,1.583650629371227,1.3715832419751501,1.5252230296381606,1.105469717146843,1.0161039448427478,0.9009577443542062,0.9713387959160826,1.121347600233057,0.933475959044304,0.9380848299635458,1.0645158986864505,1.0748407534868485,0.983162684855498,1.1199908105711165,1.3400636610237873,1.1491399429653693,1.2357109725251454,0.9008740272941761,0.9237174163711116,0.7923639668733976,0.8132279612952262,0.8299876923589966,0.9664121569244574,0.9867611588219938,0.9307151930985856,0.96161765150631,0.916215536122229,0.9399928626843256,0.9144897357487695,0.9866376231529109,1.1055490658395304,0.9852056295345795,1.0180078659304115,1.0885805047448198,1.1567291898125227,1.0823972168394094,1.0923693589547627,1.072825155724809,1.0070914021367658,0.9211726594096837,0.9719956232025274,1.0707841148271913,0.9826574260069578,0.9261705709437714,1.0447553121215123,1.0606736665834384,0.9593089841978614,1.0488351699544993,1.2505663974413828,1.049409755474772,1.0799920876091922,1.2485151676973085,1.4019095438624176,1.2307220376674686,1.083926603785243,1.6309583554183387,1.346645996129139,1.3373148976067248,1.1666416801676784,1.0772182520742086,1.0894369312820944,1.13713113006354,0.9630169332476756,1.0015822439819055,0.8982235672708239,0.9095805659330236,0.7909327457590503,0.7316371611855566,0.6626443245301177,0.7393713951196933,0.7569583316074281,0.8072328926371047,1.187386849186887,0.8096452204884951,0.7121813809212556,0.6828691375990711,1.0767543100879822,0.7081135004816531,0.9959325551051005,1.4760494890303435,1.4602693142874938,1.8913447571009623,3.3910128274611093],[0.7781912397421279,0.7614952753553874,0.7756985188621911,0.664677266935745,0.6798446175397286,0.8233308805519485,0.7572677131441179,0.7689807389952457,0.9065740139981702,0.8769058361482177,0.9167679552028214,0.9325811088217362,0.8873165360279001,0.9384740094123568,1.0381086222244815,0.9783822835062833,0.9913538847632531,1.0498772621366703,1.17102930753179,1.032162739958709,1.1667809788444456,1.1698508725516945,1.3974366833156364,1.444182214486589,1.1694138213134615,1.122445186938199,0.9880403418939177,1.005808122672569,0.9934902758901484,0.9235024881579449,1.051026563577029,0.9154425795081491,0.9972386206142527,1.012378618519491,0.9784663464838502,0.9906244427973162,0.9378482613246162,1.0497807869333127,0.966328027295042,0.9869040915493011,1.0178955954635518,1.0939506437356141,1.1140026715801938,1.225863458827691,1.3607425022650963,1.4596415604149529,1.7635586631448044,1.418442244701236,1.5748919404532693,1.575066483027547,1.521273858598676,1.8026584414744633,1.32497607580659,1.199594578101115,1.189449407191349,1.3681029541376708,1.3774066558316027,1.105439116841874,1.289517725993764,2.2304901386177964,1.439667882192868,1.3192465496016654,1.166825738341565,1.2794818474674665,1.2709604825961205,1.1453555352090372,1.317611171551007,1.109622594541819,1.1971015844635988,1.2862302680661941,1.2752389045876482,1.4934999948699732,1.2980091474191948,1.4531967876442342,1.1031984268450872,1.4638932792868047,1.101238460640346,1.1098839579346536,1.0792649275765323,1.0874422181780403,0.9901676081391952,0.9213017240417799,1.1018058454889377,0.9690223702184751,0.9755657396814017,0.9227184958340681,0.9748756460476734,0.9742692151873638,1.00801369792609,1.031730356566653,1.1170603451166923,1.370340909423464,1.266671664627966,1.1085602579268925,1.066397771405612,1.1833038414759323,1.1564335629655018,0.9842037262189961,0.8807309039096477,0.884410553523984,0.8047015428930624,0.8729265067623395,0.7915490848934705,0.758341943441771,0.8687057483387554,0.6880203652528386,0.6830506876104565,0.6990086067413832,0.6254542192209973,0.7166224228152765,0.5921472082796047,0.6476862873498664,0.7215614661263449,0.7495941742477086,0.8339077780042367,0.8573922676542581,0.9117706015660755,1.010825207214672,1.2662946031040143,1.064429494306205,1.0736413115725139,1.0482372221817162,0.9899838640000955,0.8677317107957937,0.8075531143538535,0.6887156256015458,0.73324745072292,0.6716957526444354,0.5659671781361137,0.615964861014309,0.6550585582560312,0.6485061395714291,0.6939045423965129,0.6883897402576478,0.6917340753392716,0.6627308924201849,0.667159951127555,0.6695050776531105,0.7557836256273086,0.7538077294105189,0.9683325201656083,1.302937909217591,1.1453923216630788,0.9674517474259517,1.0154847075774789,1.0045675551937783,0.9638243515598305,0.9036616109431814,0.7822680119202744,0.844580021845069,0.7622640338765144,0.9036396691620661,1.0338153939169352,1.563476068889176,1.2010370101112278,0.8355907202203755,0.8053564478755965,0.7727633090233504,0.7888346399185711,0.734159771126253,0.7844650487762325,0.8901342083310123,0.9477856190240983,1.006839470480095,0.9356382875853636,1.1871755785878042,1.0792053561747403,1.5011663538521558,1.3033160331684694,0.9700402255623398,0.845048732183237,0.8349614460434425,0.8780405200069691,0.8281797300620618,0.8400576904826665,0.8072145783613988,0.8577188157778309,0.8709338658476277,0.9275413459929801,0.7956454760212108,1.0095814043444646,0.7421248220215758,0.8098537282864042,0.9082455564755597,0.8659762119173485,0.9684860130240768,1.0192533557662984,1.1043779207834603,1.4505793144750472,1.433157763673636,1.6879875773008173,1.181917373665135,1.249054924058066,1.098015434482645,0.9382856894410692,1.0950047897874406,0.9930095996666476,0.8873521659230816,0.8152145670906117,0.8427590724708174,0.7802211153990619,0.7304902732255955,0.7035764369789524,0.7747438546549854,0.8095102831708797,0.7971837424138355,0.8484832632815305,0.883107652352034,0.8784448667035973,0.9368973116293866,1.0074568660530885,1.0735500892501035,1.0911551815494211,1.2157505563847657,1.353740427556825,1.3331477499347484,1.2735617740840013,1.1872095456919705,1.0709923617626185,1.1098793071989028,1.128216350495866,1.5827486248787048,1.3422463971706133,1.4666507779029307,1.0792911336519164,0.9909431814278704,0.8877711469496411,1.0097503556993916,1.1440182164318524,0.9505548480730773,0.9541500131095474,1.1081853039226937,1.0926398611188204,1.008676195620216,1.1865999786055939,1.3985299092055143,1.1929941170501197,1.2757331868944353,0.9229901375617854,0.9675050458968807,0.8197703050404165,0.8112731413435762,0.8668042059357718,0.9185672223559685,0.9973683812903112,0.9523924064388221,0.9216132270739523,0.8589755794308825,0.885193685857734,0.8515050312934448,0.9012208640068047,1.012437239160899,0.9021169538370486,0.9359987433600903,0.9921579110799255,1.0692798868111408,0.9970049388606225,1.0079251284602913,1.0137332161681218,0.9493446591702669,0.8909456141395794,0.9500149062590233,1.0223447805945258,0.942789302261348,0.9129702740585093,1.0354161551698984,1.046449318131489,0.9604162188324359,1.0910166163227526,1.2736425149970219,1.063315491848079,1.1271059283945517,1.3467998354003776,1.4662361231678454,1.281303214691793,1.102251708164937,1.7737397795672671,1.3666627777356755,1.3206380994361382,1.1719617236430946,1.0549269852948517,1.0750231913894006,1.160735373474656,0.941717898947226,0.9870325736958432,0.8837156962930927,0.8872361873184262,0.7303244903766221,0.7061338024732998,0.5970279426330425,0.6634732854300318,0.6880377865105647,0.7406373767916927,1.1009672076632115,0.7563637997916761,0.6635046719421533,0.6524898058452158,1.0559773554969938,0.6818887947337667,0.9802466487822289,1.363509529840767,1.4301888901444386,1.7559651808877874,3.141370383459927],[0.8702594777870688,0.8332850342246148,0.8249119731915487,0.7688862298815701,0.7377601087608445,0.9479101508732136,0.94498135125345,0.9972788816558362,1.1393250813331584,1.1361756831436145,1.1853387237023973,1.194089093688207,1.1521317557187807,1.209758132481525,1.3078207398339277,1.24723138041759,1.2422707891277416,1.3003876344974088,1.3993698208585847,1.2610489363265864,1.3887175964522687,1.3704040380883076,1.5790785198867865,1.6314226152894673,1.3357996822598182,1.3216376421981908,1.1854976369460921,1.230634602674525,1.2335430394338487,1.1796854202129998,1.306960397805964,1.1865967436266545,1.2834894073953464,1.2851297043874836,1.2374394833499585,1.2406084151108852,1.1752880355439523,1.2498381569881245,1.1634901805987294,1.1621367533501643,1.1842107162287003,1.2882617654949708,1.3170650745405026,1.4001734775689658,1.5370720169095786,1.6317250368223541,1.910813838799754,1.599340445010538,1.710074386510056,1.701896398866377,1.636589906040648,1.9590595732827205,1.4880439336241287,1.3502274083146677,1.339899710781676,1.5338675026681388,1.530889368136329,1.300294257341618,1.4713970656133544,2.364370029067851,1.6281103102497732,1.5360249640145365,1.3919518842821732,1.5185256440858814,1.4919511146364641,1.363613365833637,1.5602693069802236,1.3677517967291557,1.4412251651063184,1.5485682292548115,1.5140524184359447,1.7155488986532663,1.5537641568059863,1.6953135555060204,1.3611919184980366,1.6583720222432512,1.3478290322984252,1.3681013531461492,1.3318076918779695,1.3246477304395785,1.2342418644854447,1.1298744059312233,1.3461430705569564,1.1214958866764708,1.1277424702090246,1.1369340488608122,1.1989952916542657,1.2039230139230337,1.2447479926676435,1.291359541317876,1.3803389334480198,1.6157690212855658,1.5067865774840004,1.3815863930435306,1.3357896896409347,1.457845605315316,1.4032935663596378,1.26418271985897,1.1669412613150414,1.1337079530837189,1.0859482169703412,1.09214941552663,1.0390046608483416,0.9663576705561374,0.9744401642954255,0.8445076106987736,0.7983013148966117,0.7523234392799941,0.6777915570069134,0.8496467596653743,0.7128283240563321,0.8183150517079271,0.9183499753998103,0.943063781802251,1.073673442004583,1.069955558042686,1.1510270672596623,1.2213659200154228,1.4926518389484646,1.3174205520569753,1.3188259921182948,1.2705396224541183,1.1889930251044598,1.0866963094511888,1.020071887134074,0.8929103649143706,0.8754865470627184,0.7986865319515887,0.6532345055016145,0.7138483907530812,0.6812345744170222,0.6662516954029978,0.7490608200055974,0.799616399668767,0.7827741770163915,0.8030196824681897,0.7485934739232374,0.7398269516227189,0.8508230079082643,0.9128696706954346,1.117813037963465,1.4437203611159055,1.3337901496907587,1.1650304163320695,1.227586682437541,1.20718349363179,1.1505166567389877,1.109252926756163,1.000455153680798,1.0583819017954244,0.9671593012335594,1.1274998827354294,1.2305968168102253,1.721461312584988,1.3536539900548812,1.070226557373963,1.0581413678491243,1.0007685419624006,1.0353695020477862,0.9307271250554308,0.9632090373198421,1.0915086111166048,1.1171617091421389,1.186358044530548,1.0950041753488966,1.2625857912890313,1.1136166226881055,1.5099720969833392,1.2903010769132672,1.0071992005114119,0.8947439637048901,0.9455863234106537,1.011139714921856,0.9972692352023401,1.030383319612832,0.997964507167902,1.080095704120247,1.0944315852242377,1.1300234895799224,0.9923981458085442,1.1758257381390884,0.8976876368218814,0.9190197426321973,0.9872595356591056,0.9613019676132168,1.0749766252767585,1.1392327584907462,1.2325962661678787,1.5814061948255262,1.4916528722487719,1.7111657123503672,1.2672571225213738,1.2730023299417907,1.1201092294571948,0.9359133405989354,1.0259328636036533,0.9709250255339321,0.8454732220913717,0.7360547842134034,0.8051719590239759,0.6874078880445558,0.6757229058555418,0.6585872936101675,0.6873370428361243,0.7214419494519035,0.7454196330532998,0.7843894394698889,0.8155312757364138,0.8381366371752245,0.9177409089443122,0.9746618251742062,1.0514689375743875,1.1097410584377194,1.2074186611069075,1.3615505751446269,1.342034773024196,1.2206256140793668,1.1295385213049944,0.9939121813116669,1.0443985769687918,1.012424434114366,1.48170499295219,1.236730290694574,1.4255903265955874,0.9798448745713615,0.8667915035347558,0.7822765061330325,0.8488988831853292,0.9805806367914445,0.7961938110692273,0.8227864146893796,0.9768298910373714,0.9596957010388977,0.8702089911235944,1.0807607845080318,1.2691906354892393,1.0655861476962132,1.1760830259684043,0.7992195838179231,0.9013912211698253,0.7406550436092668,0.730481418265224,0.81102797978603,0.866708562775091,0.9727692490396461,0.8792084053093854,0.872170032522654,0.8329327547029436,0.8742685744389788,0.8148013590981391,0.8994096817356652,1.0430566691455088,0.9121013859419933,0.9317563243343632,1.0251015563538617,1.1362736344305302,1.0015710538968383,0.9970382740909391,0.9586257106289696,0.8751640735647616,0.795974053646767,0.8299501866879541,0.925116552734888,0.8545831642284513,0.7930456078287835,0.9084871690413283,0.9337364241695779,0.8307418941361925,0.9487920961555455,1.1512405159129433,0.9422985546941499,0.9938722063582626,1.2063221146517644,1.3573087605241514,1.1780307462187811,1.0065388272732227,1.6845090223042183,1.306879707928692,1.262396234469597,1.1237722821186145,1.0194541240142574,1.0562018134661275,1.144846893148077,0.8705232903603145,0.8825429936957179,0.7665423467813106,0.7765062552698552,0.6809106848565252,0.66179324998588,0.6405997519575742,0.6682699968260405,0.7127079130902623,0.7476579813993001,1.202841340955648,0.8224222115630491,0.7115936202030219,0.7866458459202311,1.1815069784025485,0.8088199514270605,1.0484214362599644,1.2989519065588926,1.5583778313756431,1.7244606482218927,2.6406664054818925],[0.8268645486294446,0.8116329903390184,0.8354178225984975,0.7635957579322954,0.7677370258844061,0.9189552125229905,0.8739745129445841,0.9031689505504985,1.0138683889343179,0.968039603174406,0.9910154862851699,1.0218157766901588,0.9739455503384908,1.0040210240305634,1.0839635849055278,1.0319226917539748,1.0255260203868695,1.0509641313326745,1.146309063102288,1.0199709938266894,1.1157537511891693,1.121231076875473,1.3043287977678866,1.3488146272199115,1.1345187012114089,1.084739508806225,0.9997603314881419,1.0000358667326417,1.0090017318222921,0.966870408314298,1.0690354755682736,0.9744625642205245,1.0535583796972268,1.0331582537080342,1.0133282433092599,1.011747270192507,0.9746874705596971,1.0226180388667387,0.9429315202870842,0.9488552374308792,1.02038867903226,1.0877162137420173,1.0836075660412268,1.1436296972857254,1.3639962385463986,1.460495341930087,1.755485653265864,1.3453823829411355,1.3671513805267026,1.4372529793322006,1.3465921554365996,1.6424570417409299,1.208255176057534,1.1143334579932112,1.1916126706710537,1.2126453568560671,1.240264909404939,1.047960141144514,1.1655598367126976,2.037440600198429,1.3207416709911717,1.244846886711114,1.1292351539718182,1.2304484689439317,1.2065932704502798,1.104518945366588,1.2612290732882896,1.0973665824820231,1.153989212735614,1.2590027509268378,1.243176390085565,1.4234712040689348,1.250343958446929,1.4037086582696325,1.0965924660429616,1.4541850729808705,1.07185535953463,1.0850318411015776,1.0611857128416453,1.0578189161922804,0.9831669598141453,0.9205660741120768,1.1462542881609923,0.9243988619031955,0.9469706403390432,0.9176818145702846,0.9712893893515366,0.996922645221712,1.002688433645702,1.0360319092649972,1.1106146475248837,1.3595679056343755,1.257888975525418,1.1322321176379346,1.1034605932701116,1.2125112173638803,1.1855176902352258,1.050923674408396,0.9711988218799181,0.9789410578908139,0.9000023654738425,0.9793951036564839,0.8798910022877047,0.8545306889498885,0.8939484946730918,0.7945930977858354,0.7808718249701625,0.7256959917118306,0.7001126255591728,0.8355482351389625,0.707493550915495,0.7475965301079611,0.829343320943817,0.8275804442083862,0.9245770541931153,0.9318286813691468,0.9498434379977595,1.012275632801198,1.2235249956185683,1.069235207916862,1.0907155177036267,1.0777984626946548,1.0257448380494902,0.934194389434368,0.9028711205447635,0.791498535054824,0.8356451613430882,0.7610048992765204,0.6637460036648015,0.6988746101251052,0.7186251609049108,0.699119437768539,0.7052635851561634,0.7421040045401341,0.7121204153670406,0.7411830144261392,0.7402871142520578,0.7165020462440735,0.8182671440647838,0.8385236949271311,1.0292384605001534,1.2923586245974708,1.1153176636920121,0.9557935991082005,0.9842913172442314,0.9972929855046957,0.9563089565642329,0.9401294762425233,0.8607679169891952,0.9366822878342632,0.8815870615418036,1.021301278285804,1.1478476491348735,1.6449370567922934,1.2732776888295583,0.9450321220150552,0.9099644789121859,0.8873785604279855,0.8847220171346619,0.8134756774132602,0.835095452744202,0.911226354345077,0.9364475746663001,0.9655856578230004,0.9236170705223694,1.09600207347562,1.0293978441383151,1.4554800647271264,1.2655507657197174,0.971908815677528,0.8333835786377402,0.8235245939004183,0.8621595926813684,0.8442807016716622,0.8716042680626991,0.8587626925857437,0.9184506901625052,0.9354299619592722,0.9492701836013355,0.8485079461377162,1.058782632360078,0.7890381223424597,0.8087483196466573,0.8713444892343499,0.8365818672310809,0.9406929603076474,0.9797228112717349,1.1017181850102966,1.5473028990487252,1.3874166370879824,1.5900744899631718,1.1535065982395138,1.1641039397583854,1.0358107401075938,0.8833471224518775,1.0104092223806724,1.0019001753553005,0.8965891843763857,0.7975345328894452,0.8785878343336059,0.761525516040607,0.7514766048371267,0.7313366440826387,0.7687349299883172,0.7950277718437806,0.8050009078773437,0.8523440256505972,0.8780693005349297,0.8837057028353911,0.9565132935407794,1.0070041826529252,1.066131516709358,1.1199189682070525,1.213639890854105,1.3544050275285442,1.3670876160357568,1.190336371631219,1.1533042918941865,1.034148959399022,1.065671935426787,1.0189398467467392,1.461653809758991,1.231659642260877,1.4773926863851081,1.0226451281403715,0.9247499941436598,0.837360133700616,0.8950220131639103,1.0085856810322946,0.852094974153854,0.8808230401095085,0.9910073597889564,0.9858992479844497,0.9162751041365862,1.1466062064767513,1.262376991954506,1.1005668561175335,1.1943704019520875,0.8536747909892036,0.9562577874344472,0.7876000757459264,0.8006052519604037,0.8803714810894671,0.9477927659772537,1.0450965973899824,0.9472066774910165,0.9429580393568225,0.889731989672864,0.9185604232492249,0.8710361969687943,0.941307080604234,1.0725930144185318,0.9480332881653896,0.9687923760047547,1.0488218579026385,1.1496098074499,1.0249930670229583,1.0164815437790686,0.9825657297629867,0.9178905770166302,0.8501772288898128,0.8857401368511273,0.9621228160212767,0.9088709317923906,0.8664902316435602,0.948772104592275,0.970751795391221,0.8928915525165174,0.9836168923177676,1.1526851869018782,0.9830576279137282,1.0447097957118987,1.2171962208075988,1.3892212248644504,1.2260680465453266,1.0620966463240158,1.6830188059069884,1.3462714680085754,1.2804869907522594,1.1672802169298753,1.0751732042054118,1.09948261692772,1.1987663057292404,0.9358717570233788,0.9552298244928751,0.857626212247368,0.8683113042207772,0.7575475766877726,0.7382251500997448,0.689113166602423,0.7218520196006181,0.7491126809505267,0.7811368525265527,1.1978494975106004,0.8243486009631213,0.7227391399142911,0.760700193210956,1.1371291331632225,0.7916554655552259,1.0559600794525696,1.1958886931737875,1.53596798079892,1.7034679486132542,2.4242985918176494],[0.6715436153027644,0.658605571750771,0.790650039172442,0.6133473136226453,0.6592052419951588,0.8958437753673418,0.8672870085738503,0.8782798764757165,0.9846495326173251,0.9485364243074813,0.9579101323223936,0.9903149740824265,0.9386019104459529,0.9628880921059388,1.0384173722037253,1.0004032479185698,1.011941840704763,1.0080474118355809,1.0718482746483362,0.9621933132399961,1.056601860925462,1.056586210334928,1.2485180579463642,1.2734753747092442,1.0823629748746122,1.0289030255183147,0.9287609102028551,0.9699078539496393,0.9781044615604846,0.9514725098446408,1.02623147922146,0.9534677882027717,1.0156336980742913,0.986345688088522,0.9685801372049687,0.9691412864306272,0.9481728580918849,1.0452530026182159,0.9503528268116482,0.9601595545778217,0.9551434215943297,1.020807794036935,1.0263576750533274,1.1261058362420053,1.2647688191226134,1.3655509115722568,1.6748538907557946,1.2927884611251044,1.4508624772888405,1.4326661011044297,1.3908441993920757,1.7040734392732864,1.2412520684359911,1.1508435001425559,1.176754964999492,1.2572797417999406,1.2804215526632146,1.0541679382762854,1.1941170791158346,2.0937721950906734,1.315433255303004,1.201416992493699,1.0772999370011063,1.1523597180931748,1.1365802736986614,1.0449869068914313,1.1964461383735525,1.0124562583221024,1.0623649609704249,1.198323944639379,1.1800324830068547,1.3630083046438497,1.178315953314153,1.2870003744335712,1.0027037062954938,1.3840305783249205,1.000637926757362,1.0177220559157807,1.0057094786681282,1.0224204894202151,0.9609398304996387,0.9047882119765775,1.1240656714029793,0.9902129218305727,0.9759734456460692,0.9338382300837202,0.9382694120927123,0.9672380669377015,0.9641233627599466,0.9891916156688164,1.0494266046904988,1.2987269086716347,1.191792685056801,1.059098717616955,1.0487081781682521,1.1391810040791606,1.1371940426500702,1.0027796863330183,0.9418464447097052,0.9553817777038609,0.8862048458020025,0.9325407729516296,0.8789657906478723,0.8512292191978619,0.9519948804189307,0.7715704138456548,0.7482490725608689,0.7281293237097479,0.6361655259599084,0.7790905599488481,0.6362682374369318,0.7322280808947187,0.8251175594612984,0.837791639116299,0.894390221592449,0.8659658996586368,0.897539536381684,0.9781269174017097,1.1514657647181408,1.0101279431819505,1.0358483792671005,1.0557659863019955,1.00881291577043,0.9505778668543347,0.9197369961196099,0.7830873605459917,0.8482130306564524,0.7466705280860867,0.5725278793287859,0.619290348757849,0.6035953185281435,0.6093322782280105,0.6901277695319921,0.7195797216607764,0.7099049111245727,0.6991966837679713,0.6628907490012002,0.6566852808793876,0.7122541467389986,0.7457550914145566,0.9323187322122889,1.2382583614767995,1.0833832074634484,0.9637185671255277,0.992556636977519,1.0326001604697137,1.0230356944118286,0.9821200932665054,0.8722993567270322,0.945403923728952,0.8629151037760734,0.9857903786235895,1.0914684587004333,1.519808562864042,1.2146812806585259,0.8933420814976166,0.8823180374107128,0.8621971689652033,0.8689800875397706,0.8242029781332207,0.8652794052723485,0.941528876780307,0.9853373481278501,1.0283252755691024,0.9361194549662024,1.16620229094876,1.0573723878969472,1.4766851387309319,1.2657857162054358,0.9643928871524713,0.8430207356980952,0.8632581651382849,0.9096211820037721,0.8743739773536113,0.8921492739085197,0.8811456643727227,0.9220863534117296,0.9394111737473816,0.9701177612773062,0.8565519484600724,1.0497156836302504,0.8034054111828876,0.8240070224590728,0.8886795410134786,0.8564487841141778,0.9530476198408749,0.9972646934245568,1.0617986690432086,1.4305153830224702,1.3930245733773332,1.6172112724533272,1.1301322511338925,1.2113494993343643,1.0655159051798089,0.8987355768387669,1.0031205040516258,0.9398231810266903,0.813722992913963,0.6951794803020337,0.7121087814193241,0.6211019247818723,0.5818742895501695,0.5576848674428266,0.5988075279822432,0.6254736019909114,0.6484196172542077,0.6959327981964252,0.7093102049941054,0.7154201099238139,0.8176806225467979,0.8631970563184697,0.9136829292842682,0.9739055829206525,1.093312205443662,1.2129852602125175,1.2361243414566512,1.0215099008379847,0.984410577023399,0.862615382382638,0.8910930395170137,0.8587071671489556,1.3344525703899777,1.0977460716485876,1.3298875832847017,0.91242100552072,0.8201461162863071,0.7542930336161627,0.8274945671463074,0.9357653692650376,0.771004861914574,0.7925837191865424,0.9544528402590904,0.9230312075837547,0.8380471283818612,1.0621183869859252,1.2420993353336602,1.033620244978252,1.167125368598829,0.7639288629593556,0.855571746796145,0.7213364808324304,0.6945564822034178,0.7862837764369206,0.7886006823338239,0.9145438882637014,0.8455356085740685,0.7923889857399417,0.7352017976618599,0.7958133509931512,0.7025604181143414,0.777110600800841,0.9242158393616098,0.7894858803535616,0.7914530664125647,0.8819934042508029,1.0315485282210537,0.8729240126373196,0.8585579382516124,0.8263067846585499,0.7565917307880848,0.6950384420983926,0.7288713393608518,0.7910987547835486,0.7365954640656633,0.7050063710429902,0.7970810653245861,0.8117914530097721,0.7462695045511297,0.8741116474894851,1.0314045632718,0.847535591248283,0.9381934132096349,1.1546689993439172,1.2985118232493285,1.1128808366864096,0.9058318896725055,1.6734872586004246,1.263043892002145,1.121638172867625,1.0409317880912092,0.9277791900492114,0.9872439136129653,1.1344455721652966,0.8095733503121655,0.7926135172596253,0.6846190411191235,0.6913065110942501,0.5990644360440494,0.5767394122199281,0.5747652041368901,0.5657306694731217,0.6131690706141784,0.6490394147761039,1.055552523239131,0.73573971789186,0.5647265828058633,0.6231456662482342,1.0777742539851063,0.6736554088063054,1.0285285763272176,1.056244640046965,1.4156948217061274,1.535011327674667,2.463605095728597],[0.718801348239585,0.6969160815458373,0.8464542669519799,0.6763944756045536,0.7467855595507179,1.011560302350403,1.0124906384597092,1.0490125747199348,1.1588259798636584,1.1633775514778046,1.1804227856691238,1.2005761248372333,1.188773128811277,1.2074188748118115,1.3100592564605669,1.2665507943010246,1.2780600875292243,1.306711153329283,1.380359818850655,1.2704533781727347,1.3702362502930354,1.3634640306593624,1.540044424053617,1.5595905166397288,1.3474262762876033,1.321448880962073,1.2008302367034813,1.2774796498743999,1.274993798433521,1.2326926439988148,1.31516265740074,1.2322482324456743,1.2906845858361389,1.2895612381048382,1.2667621262485014,1.2691206577208713,1.2540642100613204,1.3397436113998298,1.244361143477062,1.2427908750928343,1.2212177879445738,1.2999241604449652,1.3266489142075044,1.4064291730809415,1.468275788109644,1.5714051579561212,1.8328603851702023,1.5641084699784478,1.7973972166944274,1.732910255086707,1.6882831308731996,2.0447848484867865,1.5408159417702316,1.4144058556906975,1.3657427204821206,1.6055548995243243,1.580203837910262,1.35279162148803,1.541451731341729,2.4177229462476237,1.6401904351250758,1.5266460427833093,1.3892862771695436,1.4474406917964795,1.4625231702494434,1.3586996056026057,1.506421111334913,1.3225397039423155,1.3687035232711713,1.4884796329261174,1.4486596196858148,1.6233047235770692,1.4570918692631818,1.5666749998347773,1.3033510491094094,1.6070062751799856,1.312542218268511,1.3290104901837685,1.3271024014852661,1.3433640503279347,1.2770185355768624,1.2039522961820255,1.3755771605879779,1.2392589729414651,1.2174081035323006,1.2339936460974945,1.2521371377410826,1.2586285614591286,1.2722646832904814,1.2979953010558467,1.3567721734424956,1.5596882789837208,1.4697452551552335,1.3493996065341975,1.3290608959795325,1.4085712980681442,1.3823611211116462,1.2693879708236393,1.1877481084687274,1.1534340956411029,1.130758380515112,1.1446085051109574,1.1310851662630885,1.0692356419149738,1.1340860482735668,0.9654261980834814,0.9213177065098865,0.8797508900043951,0.7788749435346923,0.933196641066781,0.790877535546791,0.9220695320428876,1.0143875032276026,1.0453782042870956,1.130796986684682,1.1108318278115732,1.183423619392901,1.2614050471213547,1.4634309957588258,1.315546895364374,1.310523877870235,1.2992474649118104,1.2391782276592413,1.1711903984682315,1.107814538383904,0.9914798720729577,0.9902681791431632,0.8910501197076319,0.7173985854601773,0.7908645802685261,0.7063907832224541,0.7374123255574707,0.8530997541593909,0.9185662621305858,0.8958843033654035,0.8913561988620097,0.7854826446389012,0.7906724065528932,0.8753105088850687,0.9790604985973906,1.151831316660425,1.4636350683314139,1.3883604438400783,1.254748887904381,1.3173594530045474,1.3095446240626292,1.2805005908549416,1.2231473678912352,1.109452075321826,1.15725001052227,1.0505044325343935,1.1699472737938406,1.2436167481392881,1.603495030800015,1.334924428462228,1.0940703456977028,1.1022376510460743,1.075215536180504,1.110423016198057,1.0524653387570773,1.0973448528936278,1.208437707721108,1.2354828908864812,1.3039198087320594,1.1801769705128933,1.3573443426504437,1.1812138087128077,1.5240669230377284,1.289240144417636,1.034255718858602,0.9658012966540652,1.049153628773233,1.1269234588473045,1.1254816980093456,1.1552423114956367,1.1352475644937494,1.1855142038709925,1.2019090485872521,1.2434251898756565,1.1172427605193012,1.278771444427872,1.0288473962151514,1.033134986161412,1.0968269215544257,1.0695032044374808,1.1598185543346822,1.220843982058677,1.2580166250997005,1.518855401506294,1.5286194934692365,1.7698890091374226,1.321081611519536,1.3490106064196332,1.1927623115460138,1.0068325813628987,1.0186076287196817,0.9988508481652232,0.8857047625551211,0.7377693351443673,0.7244985243548159,0.636803627154714,0.6250433017417644,0.6065618340998623,0.6153856307969129,0.6386738654938624,0.68723318184039,0.7150715297107451,0.716489305683467,0.7280202927661429,0.8379240170990068,0.8713841857767866,0.9121412762681688,0.9814719140538539,1.0963754832088075,1.2067910117100835,1.2324608293156378,1.0071992254529145,0.9650444687244564,0.8450175562608832,0.8690073140483455,0.8295426008137766,1.3024493445335585,1.061284210773631,1.3037397879023898,0.8988209563880112,0.8041163591287926,0.7711586229052716,0.837517168345675,0.9208334272640583,0.7666804469761186,0.8042666711096642,0.9841394622010989,0.9212179490050282,0.8405656291352354,1.0691102361972882,1.2349986110013986,1.0108500564067036,1.1596321749285892,0.7793975462566148,0.897825615884183,0.7930145111448678,0.7453836530148872,0.8840004578245991,0.8248898161438933,0.9763784375931678,0.8930404013392494,0.8100261787679682,0.7712219888505422,0.8366962472093153,0.719942374629747,0.7977614526260176,0.9508442722395418,0.8123082493310413,0.798727391374896,0.9005088927901991,1.0628787470592715,0.8780066315876345,0.854844977654021,0.8169990277426128,0.746008515958218,0.7046201005691148,0.7282871971457148,0.7577567226586067,0.7203936081777982,0.7023972478215416,0.7704783141771555,0.7851622164640945,0.7264195122914497,0.8565622355064922,1.003357628806534,0.8287285280232327,0.9257710745224396,1.159776694045569,1.2944773760649668,1.1014511239145162,0.8837684790053651,1.7106958366085294,1.2620235809749305,1.0983865803579866,1.0364430764292603,0.9262010198904969,0.99944307472,1.158871731112001,0.8092181528754968,0.7615195808383908,0.6704604646721732,0.6661116152712003,0.6167420211801243,0.6149065527759798,0.6795300345575068,0.642525508400448,0.7038720679457765,0.7175490267254878,1.1182249639861745,0.8235636218136405,0.6439068769762699,0.7343284629915006,1.163843498461637,0.7641927202121596,1.06062159826226,1.0124415984688382,1.6064818944376098,1.6605602772578305,2.203284066293311],[0.820038463710002,0.7977547780122616,0.9865775807867073,0.8017513810528185,0.8905313917128663,1.148348281555619,1.1543225087673101,1.1958019207866502,1.2778677710890267,1.2886740451513932,1.293675308301568,1.3193646090366802,1.3190929655230843,1.315342854149057,1.4115319710008518,1.3784595647045228,1.3874302261825917,1.3940608676600903,1.438242727743684,1.3455454121164965,1.4171399430259606,1.4089612141115548,1.55898762257533,1.570648151190589,1.3932916335438656,1.3764281608103495,1.2876600069606363,1.3797869206975863,1.3801891041498573,1.3539299364330284,1.4074956762645208,1.3547928726231215,1.4000734574138618,1.3858100731542082,1.3740610049038415,1.3678395342633178,1.3783530260098484,1.43539218809724,1.3472980062952955,1.341576733184714,1.3087126623306375,1.3723618724937574,1.3947651469352245,1.4594470144566654,1.511637744106267,1.623220108263563,1.8484545880971615,1.606356076961747,1.836393858860587,1.7663883215153235,1.7177841180526354,2.1039245135658913,1.5981998287904495,1.4827969627961404,1.4298558376450023,1.6587271131840038,1.6256140896270594,1.4165488899383238,1.5942338087113492,2.4394841450750353,1.6795515147866247,1.5641377830031615,1.4363116251238994,1.4675314687682857,1.49086025037652,1.414055666370107,1.5446421086268118,1.3787221716348188,1.4056409601725617,1.539402729350095,1.4803144536590516,1.6307680853329092,1.4808275534366275,1.5810287703441968,1.3491836277986171,1.6329817168771248,1.3683083511136833,1.3909735843264093,1.402096254762099,1.419082932782009,1.378734193747809,1.3083511662569387,1.4891064224139101,1.3537220155133955,1.3232310223940664,1.352049715219071,1.3539347014404104,1.366493415193323,1.3580164129200842,1.3836104486610734,1.431371502983803,1.608741045571139,1.5319957351532971,1.431455793043375,1.4228319156715987,1.4895422742622337,1.4704251090291096,1.38247405533891,1.3142346623954178,1.283168802233949,1.271220911326034,1.2957734077745857,1.2833504697656162,1.236228209827591,1.2697443868987042,1.133327446759947,1.0934128552586555,1.034526729094925,0.957856192186212,1.0985133828145788,0.9649249224747278,1.0866619490999365,1.1735555114740077,1.1974671595021409,1.2719201550214738,1.2462917752088374,1.3033164515220952,1.3645309481734536,1.5236647741060527,1.4006411098257365,1.390270757364208,1.3944829133284018,1.3488239792183239,1.3003319302145528,1.244810111967648,1.15383655225982,1.1356100593865912,1.0424893948447522,0.8927680202010596,0.9533051592641765,0.8677859608506641,0.8973489294962171,0.9944512269887849,1.0757240898425222,1.039208494276722,1.045181132565703,0.9240413537904781,0.9239533262480657,1.0100717514917998,1.123979155728532,1.2534361786263144,1.5198761870429376,1.4756404489301604,1.3709620877566622,1.431802035369906,1.4235490003053326,1.4029970340776639,1.3596956366496369,1.2660153232860163,1.30901810930738,1.209979837729329,1.320567809207748,1.3873701436953532,1.6805505068649889,1.4155368849621348,1.2389338649264034,1.2499010129815487,1.2334309594501855,1.2646762134446947,1.2171675383298146,1.249564906028203,1.3429549439785715,1.354973616910566,1.4171261340789372,1.2978396550142406,1.4291933658665168,1.2593510402402048,1.5654313078954987,1.3263651661376687,1.117044055140252,1.0648832247270033,1.1681655055143403,1.2518469186854146,1.2676857329225169,1.3011565629072708,1.2893778345427516,1.332406102133932,1.3557731688818486,1.3824577826184374,1.272473179737614,1.4183239972913995,1.185162144400965,1.164125028454027,1.215019913131762,1.1893986200265725,1.2570736483985223,1.3121638894957983,1.3306159604385412,1.5767022891363691,1.5605241844961453,1.772182887326124,1.3835066981717292,1.3958313363025157,1.2636193719020636,1.0973756495950224,1.0733193005203188,1.1084209531488818,1.01125469715605,0.864408917104916,0.8466893726617822,0.7580180711621833,0.773853609213836,0.7620812497417484,0.7460927259592335,0.7686114950764424,0.8203150022637573,0.8214507988678841,0.8183100451408131,0.8298558746594104,0.9248147582471757,0.9349758384401976,0.9595152912738721,1.0352476831082547,1.1302438785973647,1.2210276973844267,1.2594441145861084,1.0182081093324729,0.9881527886243651,0.8927639052675954,0.9047686604531788,0.8627242226779255,1.3029065845492789,1.0997245260982416,1.3708989449202076,0.9542485346686703,0.8674892511363975,0.8823402120373928,0.925036938545448,0.9568819291295716,0.8364898891544233,0.9128267274100338,1.0516273105784593,0.9815851220305382,0.9120209685131994,1.1106053230735855,1.227118198355623,1.0296495538494739,1.198893087290029,0.8704404350204779,1.0101860291082438,0.9270517349234421,0.8940221549424424,1.0323403463823304,0.9532862872396809,1.0995281225145361,1.0024509544995746,0.9118470139658116,0.8993659023679483,0.9620082134014769,0.8406399817809608,0.9108806418279521,1.048710460468926,0.9157127459335256,0.8998028630693063,0.9937285405231453,1.1510010315228938,0.9520268121543023,0.9248737517987637,0.882944677432592,0.8294336611249616,0.8121757512313368,0.81857655401909,0.8179846750191528,0.8057138618951808,0.7975132855850747,0.8236908045166984,0.8379458914896257,0.8037656838008751,0.9000361526210523,1.0247587199511603,0.8794742554927438,0.9761147371589006,1.1931963166482589,1.3151636156002617,1.1455470268295478,0.9306906071615764,1.7234274503602542,1.302695196355727,1.1193513313264742,1.080370521610602,0.986406806696229,1.0595814066134055,1.2347371717064517,0.8696391412609713,0.8112186950518506,0.7394459489159877,0.741045114489626,0.7499591516530445,0.7676881922300255,0.8501712627934018,0.8034549709705068,0.8653479423728103,0.8716781385678523,1.223107340103867,0.9668471498639924,0.813261035966643,0.9118387408936777,1.2668062586304927,0.9143076885107018,1.1680858163851375,1.0509256052558893,1.863783255792066,1.9537705596324548,2.086762534588417],[0.6644624998569424,0.6614256601147444,0.9214735643637434,0.6476161194717068,0.7418790667310494,0.9954567352621109,0.9737692009043817,0.9875112402418184,1.0523850019852066,1.0223945389572793,1.0101159596502274,1.0562116724177324,1.0168710887561592,1.0003349715719492,1.0821985345749512,1.0582273818017476,1.0628009171679234,1.0440785184522001,1.0787561197584676,0.9896608640701468,1.0493657824051987,1.0622232493140815,1.2351438681388065,1.2462342947118328,1.0750679411970097,1.0256726986775575,0.9458109689265518,1.042425743276428,1.0526846995323682,1.0465737280400058,1.0712770131806093,1.0406770354419848,1.075481293634155,1.0487522772124414,1.0442858538426323,1.0328768042215613,1.071001889979135,1.1571158045871581,1.0489708470246015,1.0567574051994761,1.0101865023795387,1.0493721250757972,1.0660395337518467,1.1736621645745313,1.2656324408544313,1.385261474033061,1.695686511818222,1.3334933946658385,1.5751338234078889,1.5252095279163755,1.4979452198158385,1.8514921492796341,1.3516028679354364,1.246308261973242,1.23538038730902,1.362800873852825,1.3535613398494526,1.129981891190674,1.2838298760973732,2.1614447297666883,1.3593512562284493,1.2280794677187081,1.0940503690358458,1.1443995097124515,1.1398511170944157,1.0586572385903905,1.160734658482407,1.0155234729053357,1.0527731347610507,1.192971673825081,1.1733030975143366,1.377762067540752,1.1717500657626296,1.2598222052985961,1.001384608396183,1.3209233746384472,1.0141347590123784,1.03715009160993,1.0604429686041317,1.0855394828092149,1.0566370130486853,1.009892733843506,1.2156944454206229,1.1259095168784252,1.0804655070983686,1.0653537166268077,1.0295340508308026,1.0562818155796605,1.0245848326484854,1.0469529655033754,1.0783379364279788,1.2871052743049554,1.1962274883884476,1.0768066314605367,1.0777077302170694,1.1498226058495333,1.1597919680398026,1.0691636733812009,1.0295629142647955,1.0308870899887372,0.9932827093948583,1.0461516941335154,1.0213182326241932,1.0061364830953783,1.1016840158804206,0.9303202815242269,0.921845562958463,0.891529885552843,0.8008333648683953,0.9309517796588893,0.7853660832699241,0.8949432084426573,0.970575566794417,0.9787232158817833,0.9849805669847358,0.9514637758887432,0.9641300253080608,1.0348931269735877,1.160424639847336,1.031809185059103,1.0359022790193928,1.0805393209315302,1.0570501850494076,1.0453070204071144,1.0169426880130186,0.9439387773207876,1.0013923169084582,0.8861855922782583,0.7270598648203186,0.7813162009409171,0.7157505481904156,0.7517665311388628,0.8471025350506851,0.9002226902017456,0.8781864410785122,0.8615504255112408,0.7990759402117007,0.7526025322240932,0.8070798424842529,0.857046593885268,0.9877486479928191,1.2901199328418196,1.158895214937849,1.0743940552671738,1.1114832240003687,1.1491915471481466,1.1602605525480143,1.1084669298921919,1.0224117305251985,1.083400404568515,0.9983802002137903,1.0910020023028002,1.1690709577734795,1.4754921972105002,1.2288101943558842,0.9925036647188742,0.9935495628174905,0.9975688238428421,0.9947603519422628,0.9894591013714912,1.017101315374384,1.0750842783125534,1.121629137453127,1.1706357477146772,1.0618352647038676,1.2555156077582983,1.1255311066762361,1.4919818289826443,1.2656270155273446,0.9989385220568535,0.9295492937550117,0.9917838809847019,1.0492061771741197,1.0389697803489122,1.0510412809156964,1.0395632542911686,1.053522192623797,1.072422354032466,1.1150567897008565,1.0193089828279713,1.2008980814040866,0.9757508132473127,0.9820767567600804,1.0271413037744965,0.9914912349208772,1.0394979015360426,1.0794624302402414,1.123630802635045,1.4345936023762298,1.4386423684416065,1.682013676954057,1.2190175956934222,1.2857659048958274,1.1551135766963367,0.9871001341855453,1.0106520467188922,1.0185372723171684,0.921409663104656,0.7859610654037343,0.7442588787390012,0.6790736049430321,0.6547567399215424,0.6313729756961403,0.6598497908173313,0.678141771516181,0.7143680164050844,0.7433016290118206,0.7532298127779719,0.7380435836413065,0.8366198701319184,0.8650655383983809,0.8814198475605267,0.9303444875231226,1.053620281459691,1.14759083637877,1.2090271723316397,0.9523872748632974,0.9579632273971171,0.8573871154713893,0.8644644022433248,0.8326525701585902,1.2801335264224911,1.0592974427649153,1.344920345184276,0.9500687896549923,0.8432167309702109,0.8314449552937008,0.884528623744935,0.9422049004577494,0.8110394180239976,0.8508170321787953,1.020166040714285,0.9558065087363683,0.8782456135222283,1.09072636031764,1.2245910325784755,1.0274965783955226,1.1832097088811537,0.8261874713069417,0.9278142759717489,0.8393492635264505,0.7963372960514298,0.9232754458643533,0.8566801465419958,0.9918893472034676,0.9048867298476779,0.8159794536550369,0.7726190941867912,0.835401563948931,0.7189723939858731,0.7750389534112502,0.9093699279009575,0.7873330758634367,0.7831043696662682,0.8522590102599803,1.0170198869844225,0.8458134650313799,0.8328186700977585,0.8133422588711495,0.7560895281318772,0.7411747907626041,0.7715605720417992,0.7744964216560494,0.7535066090545797,0.7544255344150068,0.8069750533193841,0.8181851635410939,0.7814110291411794,0.8981724830084796,1.0296259852264544,0.8766525248815873,0.9660918149684277,1.191939658339858,1.3160596382993788,1.137191958891075,0.9111001785478691,1.7552048004798664,1.3276844852838579,1.0894376641211316,1.0716612059045036,0.9584928075756386,1.0198581056995228,1.2445822090477405,0.8663593951945979,0.7878293441441755,0.7134202771753099,0.69636082508949,0.6534091209740525,0.6478100139869895,0.710535298354863,0.6668512921047032,0.7095496972379443,0.7238023594399533,1.0587082823101885,0.8157794843931712,0.6594620642605385,0.7285199833267493,1.128310523915447,0.7622589293296818,1.0720479173460251,0.958866721090336,1.6790899088781803,1.6947891973216411,2.0611686088901005],[0.6433733149074174,0.6402723145869529,0.8668724748913277,0.6030601820844568,0.6780908270455134,0.9429894538092495,0.9352127209207844,0.9530079781223194,1.0419171391329898,1.0379131977416813,1.043801103476131,1.0798806056564176,1.0589608209492025,1.0599845538998645,1.16838371346014,1.1368479141917525,1.1525219976854164,1.1841347342110184,1.2656601327900698,1.1753504636122802,1.2791452393113636,1.3020058147784888,1.4857011703483018,1.5066898009355358,1.295959923823898,1.2412539351154865,1.1181144479676033,1.186000030627475,1.178178257006868,1.1343674612648944,1.1912923062713547,1.119689709824293,1.1639587812820742,1.1815076927744497,1.166813391684369,1.171991310103171,1.1813700930128965,1.2989521531216999,1.1999802211000283,1.22085617176327,1.1923650777882846,1.2450449770436396,1.273414843404314,1.3732414659085883,1.4162431768000354,1.5170230432898806,1.8258204313743778,1.529884280412362,1.834008259179779,1.7571247512820658,1.7377064048203676,2.037197377853052,1.546189049139793,1.4113265831171282,1.3670712797416724,1.6037399034861088,1.5673597764665272,1.3175895279953875,1.5143113113704902,2.3738835564329936,1.5871714731895756,1.457328455164073,1.3010615794689973,1.3863521984641265,1.3799606671347764,1.2755938495525536,1.381745479043554,1.2105338862519985,1.2561935537261695,1.3631321579924232,1.3491896220032142,1.5580114346367775,1.3488517752509532,1.4656743544648,1.1836690788881044,1.499431436545059,1.2230741039163766,1.2299403197907248,1.2478918859083334,1.2800387945435043,1.2217219501573333,1.1694665790253957,1.2876009717293075,1.2541473899551707,1.212904519227454,1.1915673408238774,1.1890817885647698,1.1854029556324952,1.1903480641549355,1.201120508416643,1.2456928321681304,1.4544280419046638,1.3491083375681039,1.2048799450921106,1.1797782959716985,1.256374495745284,1.2441651203085433,1.1368760132142937,1.0687848867464464,1.0440374642709869,1.0300766859229735,1.0445447723027006,1.0623395299447331,1.0181959690132318,1.1326147967571494,0.931165780025319,0.9149936063830092,0.8988061458647479,0.7720647734166496,0.894040102827176,0.7401373969537005,0.8804549765277807,0.9489786094678517,0.977729303268223,1.0114590191442143,0.9994749080417826,1.0615634500173055,1.158040866937184,1.3418716842287874,1.1789142169036524,1.1550609183603473,1.1565781230203689,1.1134741009500453,1.065347498062779,1.0048851406455714,0.9166277560641592,0.9665393481778685,0.8639071316763922,0.7075896285914884,0.7936064426744011,0.7231856973112,0.7841649653182488,0.8978434443404771,0.9357219744667326,0.9244943311838499,0.8772735073695866,0.7916406916614882,0.7692257083827361,0.8286998004704711,0.9107501664964125,1.0911607441728546,1.420280125569945,1.3191038646174256,1.1965059851044957,1.2638419219010997,1.2535457049403105,1.2408917485194815,1.1513295292622248,1.040927362429444,1.0779436943526641,0.9703506738508277,1.0622648507183192,1.133066987060392,1.462893542721163,1.225475957296024,0.9851382328666825,0.9972345247080945,0.989024788029768,1.018372673098479,1.0043511265146254,1.0597963207686536,1.153693606384275,1.207418396771751,1.292691394621549,1.173441458594704,1.383703885715134,1.2147396509998873,1.545243741163147,1.297962184113702,1.029548798880433,0.980408776072332,1.0558401211641628,1.1283558102844835,1.1129791675900096,1.1261774072658746,1.095040903023708,1.1190366353900838,1.1402365151357743,1.1996080705841312,1.0907875316883318,1.2578853716607807,1.0251563739120797,1.067219550389111,1.1401408132935498,1.104032582857627,1.1848564539381772,1.2344118172834408,1.287111326090996,1.5196177143872758,1.5777877561378408,1.8409244226501769,1.360578268748788,1.4029663846663687,1.2318656106158883,1.0660215388752472,1.1080757270733699,1.0580412222336688,0.9523720672015342,0.7955070782409432,0.7383535371109148,0.6992785785653737,0.6353933398573748,0.6045743952911853,0.6469479591862408,0.6560979961777254,0.6690841160992859,0.7115817560294947,0.7241357563485291,0.6924449287462607,0.7948801505447124,0.8346293180207531,0.857881191215711,0.899871451445063,1.0354766184216697,1.1467658711107742,1.2091663492567057,0.9555709903170397,0.9768737653907158,0.8683932062028281,0.8815829299539351,0.8705459025145047,1.3457103601420737,1.1004684922598056,1.3189181171915494,0.9936874256781382,0.8993182990138214,0.8610603965072555,0.9589645001113385,1.02620287213333,0.878405763333665,0.9101518316235487,1.1193386136055241,1.0391346535780615,0.9558180727134918,1.1772620190446823,1.3607111529363147,1.1322463981689377,1.2333739412254707,0.8730137996208596,0.9649484645719651,0.8722581083924412,0.785731434887304,0.9021383811209639,0.8393046173523309,0.9583666909922747,0.8917653895236872,0.7947204639100408,0.7323450339155807,0.793881302094654,0.6755707552858917,0.7198604432245849,0.85840303854484,0.7348989473662,0.7301026621614516,0.7967897839272333,0.9675833035381272,0.8002873891451664,0.7921660024924387,0.7875938057020502,0.7419931528753262,0.7292053870593455,0.777074636640094,0.7959526411186919,0.750335039863975,0.773911708986486,0.8522266851087013,0.854092095974737,0.8126684548300528,0.9630197728986276,1.1159684875763176,0.9237247617315604,1.0197291744340555,1.283419699682846,1.3900377254093674,1.1751472124772693,0.9351718552630128,1.829133130463121,1.3016265630724786,1.134304318185158,1.0768276035090198,0.94364568166831,0.9990926444549612,1.212219317701559,0.877205332691447,0.7982996762979683,0.7228931116468307,0.7172260528909659,0.6150155992896431,0.6253091249000614,0.6579523555611646,0.6047973141958892,0.652139773200015,0.6581042688433668,1.0103782703748658,0.75179516661273,0.5841612328703875,0.6450779375594962,1.0813985926794112,0.6931028931541242,1.0221161463005144,0.9467744819954332,1.5144880711751343,1.496525102792117,2.2495338204829936],[0.7036085712344566,0.6893512578447819,0.9542574236749988,0.6847051146581413,0.8138821826734419,1.0803071741251846,1.087031953046551,1.1319434964210313,1.20118734285327,1.2329857863234428,1.249135031558074,1.28250978495143,1.29530100364258,1.2811915320531186,1.4074143210745047,1.3868661136244484,1.4033271596756636,1.45061319660225,1.5216042205041496,1.4510250963090268,1.5420421059805078,1.5657109002122307,1.7167588085834038,1.7356990571612634,1.5431136709393782,1.5006191060976388,1.388421342373835,1.4619866920575462,1.4500635808491604,1.4008374182313406,1.4523878353267639,1.3868340569124873,1.4252406846182917,1.4541738879067034,1.445267860521507,1.4481087375815225,1.4612899839828108,1.5637824506216267,1.4681986708523183,1.4835641267528754,1.4614098588060576,1.5073272391374286,1.5373244007779903,1.6105910987091496,1.6169402146015366,1.7337943670599731,1.9792438721306869,1.7548866591757684,2.088520523918568,1.9923054031122882,1.9605520001322092,2.290645109113483,1.78991037208782,1.6358703612782517,1.563658145979547,1.8766678855602987,1.8064154559347794,1.5666926409362372,1.7842842771851344,2.6050272388804063,1.8360992474080104,1.7066698892614574,1.5566830211135827,1.6241009685605652,1.6266884183110462,1.5445105789594538,1.6327465870862197,1.4751351454811654,1.505337936606834,1.60731441240584,1.5667348023970427,1.7411357376004604,1.5592050225901781,1.6749374971866833,1.4363405828768592,1.6962649038339799,1.4952916765982522,1.5031041465966306,1.5294425891645136,1.5538991918938398,1.5074500057982592,1.4452465020727903,1.5152471356268153,1.4932473954795364,1.4563880163249543,1.4660769751706615,1.4739397555447304,1.4578346184561661,1.4639165188246086,1.4740051952040623,1.5138805504131614,1.685067120829642,1.598218092337318,1.4671062863590025,1.4322086277822061,1.4916266229225725,1.4678008785232526,1.3801701545830543,1.3001752623071148,1.252252030945275,1.2836755007206813,1.292567906355101,1.3204400062610073,1.2588925125770192,1.3323086660043297,1.1580146985314492,1.1372667021412877,1.0865551427267215,0.9553974460833484,1.0889600868365996,0.9320943869296059,1.0887782323406416,1.1516109209227192,1.1909912198018775,1.237462548186058,1.2310743732949139,1.3232908326245099,1.405792772347175,1.5892795226182947,1.4435889552446215,1.3864521621646937,1.3706677547253947,1.3163853452766772,1.268343051095949,1.1818776907988733,1.1213008372728774,1.1201581485373935,1.0276695562148188,0.8961057136587146,0.9847227646557212,0.8830730232030112,0.9585008356260662,1.0776053629587983,1.143488301441403,1.1151397544182167,1.0717520176425854,0.9414256448326456,0.9551936991474231,1.015845001338427,1.153672993549147,1.3100000078036342,1.6225715535942427,1.5815551137024741,1.4598792447578992,1.5517687450165316,1.5071476913516266,1.4776191770424303,1.3830178010297451,1.2747337078011645,1.2953151879242124,1.1867041717985054,1.2586190790913203,1.3240384685331068,1.5344133661029158,1.3327425276074756,1.2085066929284025,1.225478854442411,1.2196364758805507,1.2708127640965043,1.2475028156159012,1.2953628690397168,1.4104608901209437,1.437784430486716,1.5416179229767586,1.415229278720425,1.5624563412746777,1.359833922034439,1.6176440011525581,1.3742124448548354,1.1645669247005843,1.1374342334272574,1.2424778002149166,1.3471240393010826,1.357589224158245,1.3861314091233572,1.3577297354821347,1.3878473426286162,1.4190863962124134,1.4692607971149594,1.351235310390564,1.4922415222786467,1.2626185807033568,1.2912819379190525,1.3537868007321787,1.3204112500537524,1.4085188853990414,1.4649325768724357,1.4970442489499143,1.6795930497197007,1.7242125601732663,1.9609933450213313,1.539759971136522,1.5317958148562956,1.362934627631521,1.1927728523237322,1.1586688531913825,1.1551635133802673,1.0621303431861195,0.8850033636400229,0.8195048930654472,0.7677916683186367,0.7390199621451242,0.7162695961629754,0.7100828537644324,0.7173342092215135,0.7511103105677017,0.7585438859184586,0.7594118937310544,0.7445469675291113,0.8390716073709059,0.8524206591717722,0.8638703444989858,0.9217841640095499,1.0420155183949555,1.1269771781369373,1.1897953662514493,0.9349430566115551,0.9537289952610506,0.8578133488376404,0.8614868485263472,0.8506872744302998,1.2892245084574017,1.0754411484090438,1.3060478448533157,0.9802996773338875,0.9018930453787548,0.9084230793365006,0.9922386448361835,1.0329614027259337,0.8885308855431912,0.9608234888374115,1.1574154913477686,1.053283502835212,0.9817222940354231,1.1968783353503927,1.331777582911746,1.1211947008060306,1.2422408251202934,0.9280323829782829,1.0434364753173682,0.9639524940190215,0.8802617041846396,1.046654272248197,0.9312297551438758,1.0940900240047524,0.997930039209059,0.8446606422757105,0.8277827147032627,0.8960457310386765,0.7464751279546649,0.7944618236155848,0.9265721497316647,0.8051865129652984,0.7912917443419958,0.8551188464001529,1.0220970182642437,0.8389900324762911,0.820638573126438,0.805343842763217,0.7657903874495193,0.7717758294613346,0.809121642230058,0.785049611358636,0.7611670524637323,0.7959259442710375,0.8402040516839109,0.8434165552809106,0.8211810336332984,0.9511857893801223,1.0886908395614316,0.9164444520307741,1.0285737375931696,1.2823642465361722,1.3822104015170207,1.1687217022247451,0.9255850185841501,1.8380595472560177,1.3086488342155942,1.112197298994036,1.0655372747478697,0.9479623778187298,1.0125305092615995,1.2340179084869147,0.8782195678544997,0.795276474631571,0.7392644810535726,0.7315606102223675,0.6944852704453911,0.7284671289719308,0.8120024674567,0.7409680481196415,0.8028055090209979,0.7925880294998192,1.1025913970298193,0.891411663749222,0.7261355912023869,0.8095894900261928,1.1797771110314834,0.8196144021285984,1.0994559791620953,0.9814751461461684,1.7583765216893168,1.7738584831166346,2.0779361161278658],[0.894110922779142,0.8915503854197907,1.2374698165659674,0.9092046760468143,1.04980869362511,1.2667505968913857,1.238017092825282,1.2633231241169611,1.2867083722234147,1.273850816411503,1.2591778058075396,1.315078971027608,1.302256329317671,1.2522933291555063,1.3522185797415749,1.340850006828094,1.3447675303712872,1.334799332813832,1.3511743375658218,1.3049768363212786,1.336709500844727,1.3661832047294273,1.4925158253478683,1.507037048604026,1.3645269826024915,1.3188119155570805,1.2703797872191325,1.3794647158497304,1.37985052256336,1.374568087410504,1.3535912592028767,1.3578365230377527,1.3708674614403678,1.3509440374272994,1.370921828997434,1.3537479635332905,1.4389785052844688,1.5058696090545205,1.4166971766525434,1.435073849353306,1.3795127669013891,1.3743597566415815,1.3972987078309516,1.4680898660878803,1.4731341319063453,1.6086564508662027,1.8672769675537464,1.60198972456485,1.946457070322205,1.8580352322359155,1.83153009392085,2.182433023052342,1.68370691743912,1.5549016140221812,1.501742072426289,1.7174432374622386,1.6592992640226427,1.450805099958675,1.6208570941552252,2.4210471675500584,1.6390679607316385,1.5040777310621665,1.3639606693316173,1.3992882466414256,1.403531703225434,1.3533388890686082,1.4019329372235552,1.2900041745444821,1.2865304544677167,1.4249800206809706,1.3905119501816925,1.5950538841048532,1.3670742626434726,1.4394691846319807,1.25373780425147,1.523978714049228,1.3045898366994026,1.3232685349536424,1.3805593383611796,1.4084150245700118,1.4237004023845867,1.3915034808672775,1.5003165949818182,1.5064616532329769,1.4526834281467347,1.443354347424438,1.3917303583233385,1.3968897264415547,1.3444297285504963,1.3452494048305879,1.3595484950609797,1.5113425901446336,1.4324048412291088,1.3437561042145423,1.3429633371985559,1.389358908432565,1.398309978788499,1.3431072918278621,1.3108191669923832,1.2975204013787638,1.3125307114726166,1.3757239167416557,1.3742942784240972,1.3722046289901388,1.4336635185011186,1.3125562239186288,1.3243370706831052,1.272295899651016,1.1676424599433435,1.2747008967477291,1.1271985598514036,1.2459559498455604,1.2850957450120735,1.3020961425931352,1.2675061084144,1.249994543876098,1.279970598205624,1.3328426039712433,1.4068450233986565,1.3096157581986432,1.2628811882690134,1.3148814673876021,1.2961133234397175,1.3170118828757131,1.2752512491750427,1.2853644554770314,1.3173454498961,1.2051423673968962,1.1030509152856396,1.1610654894985635,1.0824161225561673,1.1590756396939486,1.2446658839582954,1.296455963741934,1.2672650481288297,1.2178052875531613,1.1173728247025516,1.0880582964111318,1.1310471825443358,1.2201005462181016,1.301578534750951,1.55244890164336,1.4956187317862688,1.4476456151126151,1.5132437661417562,1.4915092605813542,1.5024286001112763,1.4238271481036762,1.3650570665309527,1.3934097325012345,1.3330539524668445,1.3572717690404528,1.4242951986586292,1.5324783323134032,1.3820228360679163,1.2931032332465595,1.2939759614594,1.3212509669907684,1.328433147897853,1.3622149312242577,1.3941082302190653,1.4388078220030844,1.4786900870551802,1.5553868638948392,1.4505162924115766,1.5915074420768462,1.4218240617921527,1.6582558684855933,1.429427391601232,1.269973321293616,1.2519816885747832,1.341655351472142,1.4277472697373714,1.434032271511777,1.4433779154607662,1.430486669876366,1.4258923559288315,1.4581089589604415,1.4883939411142642,1.412361428589556,1.5510194414886376,1.3777424508442595,1.384889820648004,1.4307415430373438,1.3908788506788117,1.4244961227159323,1.4524861805336238,1.4599236333005006,1.63252124295588,1.7102952085944352,1.952936620313488,1.5489727749358353,1.5715083023290137,1.4383724935148368,1.296353806371116,1.2659932247599943,1.3004473065375692,1.2366985109042041,1.0907564364576037,1.0112358322742228,1.0022463754213151,0.9797953421711878,0.9562423026434397,0.9789491133036418,0.9812321940412204,0.9979561389936022,0.9933678287570654,1.0141495746182438,0.9955890467291122,1.0577586974350563,1.0663641953599174,1.0636909749725827,1.0918580796361947,1.1796345304682598,1.2421762912099095,1.315424897861173,1.0948379426157697,1.108041876079084,1.0591424142346793,1.045776620043505,1.0402851648955769,1.3719974335393015,1.2427227693935097,1.4903786558968564,1.1761918580410964,1.0950006957044602,1.116296144003341,1.1792536530584807,1.2043758705092917,1.0792934106139505,1.1461133746971512,1.2858977200119577,1.1931384895484887,1.1463075327641676,1.3377764411903865,1.3821578422844711,1.2149463717911924,1.366502403829287,1.1290971200159794,1.2063022523222608,1.157293721405443,1.1151208949824387,1.2632812549132098,1.1575972771238854,1.2913282111136342,1.1919641503655616,1.0555566434882107,1.0445618155270258,1.0811767210663048,0.9818841445975555,1.0157954439314527,1.101058965714496,1.0228193866628517,1.032139040273029,1.0553234959213738,1.1679879682900216,1.067962122482917,1.053734647751504,1.026783487557571,0.9959795242815714,0.9990108903618712,1.0459828669682303,1.0024014762689406,1.0008952843658232,1.029873449611214,1.0582990059103077,1.0633381966657278,1.0489439917832908,1.1371638565613378,1.2358235472840589,1.1170340917314934,1.1906708074219372,1.4022517186537067,1.5117429774170823,1.3280931526144182,1.1133883422308029,1.9389899580169958,1.5084531088815532,1.2616658229054336,1.2254878682365897,1.1462541035270983,1.1898466907726646,1.4341384337115473,1.094399147044941,1.0106407890536206,0.995099589510068,0.9643465917070231,0.9471596830312531,0.9643657261536333,1.0502138543778436,1.0048063119069077,1.0240393347902024,1.023896946428924,1.2072980492270367,1.081231534210461,0.9881136531372028,1.045546794781677,1.3051258646178534,1.0602739404011692,1.3131208431892458,1.1874289928491097,2.058812350883696,2.101108282519576,2.1444143437263468],[0.6416893722860357,0.6546192597017312,0.9987462962338287,0.6318948483667279,0.7723435276432039,1.0121513847469055,0.9942204810821401,1.0084757254316046,1.0555167498955624,1.044586287420167,1.0408148006596571,1.0936066841252146,1.0755283290327984,1.0453343564126243,1.1544908002608851,1.130463104347021,1.143481984808717,1.1608385405128099,1.2137139231527159,1.163952936512587,1.2286936280284886,1.2708253382551162,1.429591110796517,1.4406343303758138,1.2774941407378702,1.205236992336681,1.1263725421044553,1.1909940086040258,1.19159386406206,1.1673018494464853,1.1813857995949362,1.147757686221018,1.1771184714300975,1.1879468975750411,1.19108633667473,1.1869751021284465,1.2321654813292011,1.346146449660197,1.2448111287207397,1.2654588473324562,1.2249675709802774,1.251411512607809,1.2605335504369566,1.3526199164930959,1.3719728354222571,1.461168195532813,1.7984396389439727,1.477360816340331,1.8314080569143416,1.7326917068483723,1.7451607536332852,2.008263936395432,1.5415161691156858,1.4353552713537854,1.4008620601242499,1.5954986947480254,1.5563189370973296,1.324080014737535,1.5026711850788546,2.3028593813902822,1.5373629506510156,1.4221593594845847,1.275452277396636,1.3687593058813659,1.3382506129289429,1.2344755094270004,1.2992121462619388,1.1711020690404537,1.1922257119085489,1.2984325887915271,1.3052205791741365,1.5308005499629753,1.2855611440609336,1.3660133214780588,1.1495702425878682,1.4546656750604512,1.1862786530201994,1.194665387854487,1.2338072412376992,1.256389520567726,1.256945396055916,1.2248046981988325,1.3110342300809004,1.337992856530613,1.2780733329528906,1.2520504120656522,1.2154298684965297,1.227813814140102,1.195817271665648,1.1934926421038536,1.2201501323419988,1.4092966011864783,1.2934651143158917,1.1625052389438637,1.153125173437856,1.2099018034620914,1.2190830627681268,1.1376045484042523,1.0936743692343358,1.0749078484410979,1.082931206972699,1.1110849450273075,1.1419649990691008,1.115304909414244,1.2153411004022714,1.052884469012479,1.0557909558760874,1.0367420770171367,0.8955222554355786,0.9972326855530411,0.8386079036205351,0.9780275698369096,1.025638412219838,1.0386594476376272,1.0159583457119858,1.0116582379840766,1.0538158525487313,1.1374377649051026,1.269065948145426,1.1384033114333025,1.0979899858670406,1.1243438778739367,1.0956009042365362,1.0813863157248842,1.0306918411839388,0.9836191426071778,1.072234945508557,0.9494114193544089,0.8232631498874783,0.9189488937158391,0.8387172745648326,0.9162204098734498,1.0129788972700124,1.05446403897089,1.040107269742223,0.9732413536747502,0.8995226613137549,0.8320314414415588,0.8660584437070205,0.947449386642395,1.1188589917980112,1.4195900169259716,1.291157384888948,1.2238451064344065,1.2848917485422207,1.2872956421101047,1.2991654322375275,1.2008524421589042,1.121054696179766,1.14338082180252,1.0475280437599521,1.0924585701401655,1.165432451794869,1.359739417254867,1.2294530468951137,1.0411821756853754,1.0549118585522643,1.0609100238938927,1.0895053870486915,1.1031453663495376,1.1517844176274756,1.2180378108486085,1.2674180921229958,1.3601997444042335,1.2308156633439875,1.4539333137169068,1.2656427313638863,1.550626184636828,1.3183659948367563,1.0852609817536845,1.0635641004031227,1.1431625629606446,1.214591771162846,1.2046393506091968,1.2120531384626907,1.188028286731582,1.1898782713709177,1.2209307910278362,1.2741414593366414,1.1826386852589306,1.3161663637814744,1.1371593268697575,1.1756589488321922,1.2385201192068904,1.1908785342753667,1.2580613597045605,1.2990412574395407,1.3304585032157903,1.5196960010119256,1.6111328495400499,1.8723688263392109,1.4000788367230945,1.4652785040945218,1.3006392072412702,1.1389720048036571,1.1413748426074282,1.135904830758685,1.0481852801691207,0.8817672858744986,0.7969734851700877,0.7789817198218516,0.7135282656492894,0.6789802198905203,0.7184369457449737,0.7186355868854872,0.719162595612588,0.7455885281164252,0.7674857995177219,0.7242935882684023,0.8015255528125599,0.8437221834404914,0.8456792372767704,0.8548346978820827,0.992186659680556,1.1004390353605247,1.1668430328616595,0.9192331894366739,0.9685727482933679,0.882193110125712,0.8795446972630759,0.9043237168343876,1.3242561468290215,1.1175109435225945,1.2861593304904073,1.029598612500104,0.9540029745725485,0.9409560783924542,1.0384762059798827,1.0869411068793775,0.9497435613018557,0.9873279586697479,1.1963561137373875,1.0886989601686334,1.0089666796364092,1.242663156871296,1.3583018944381673,1.1450949193068436,1.2642626750905872,0.9431967043302119,1.039463191776044,0.9672277071747266,0.8690918585449029,1.0195168256031673,0.9203910177226057,1.0393628524398784,0.9572565158140119,0.8200628181410651,0.780816459058725,0.8284959514047122,0.7087062497109677,0.7403142657719414,0.8515096143027449,0.7501905569139894,0.7485369408302033,0.7889380880449295,0.9762203782522866,0.8115470033884582,0.8052181426519982,0.8092085932836146,0.7733658787299571,0.7928218340162377,0.8389108205154284,0.8159086305124351,0.7879384261508664,0.8335160209441447,0.8898966503125889,0.8849107814654222,0.8584702629407298,1.0038304390722121,1.1262472100907954,0.9659959504014843,1.0708173538730394,1.3417018116791137,1.426361977813235,1.2086751025613183,0.9674601971086537,1.9152691228935483,1.3862526378620121,1.1423088829589367,1.081972961833714,0.9443853024295676,1.0005593966346562,1.2604337439417588,0.9221384143548096,0.8365065838192229,0.7808956991669668,0.7499560749882623,0.681476376820614,0.7006000889865759,0.7644083103577374,0.7010997891261408,0.7144196447008099,0.7082346133540381,0.961161864912862,0.7938449982177246,0.6915084512138227,0.7338520559182423,1.0668396154201607,0.7696584860261998,1.1104930327861788,0.88403845850794,1.5835197637794043,1.545816516125633,2.1146766893435567],[0.5941092807403592,0.6080250307820458,0.9264077010964368,0.5865727326374434,0.7289702185196189,0.9715151227177863,0.9688037647977544,0.9874448181497297,1.048611162523843,1.0568873303265895,1.0657315287723743,1.1099412385288883,1.1061063937221665,1.086680611484837,1.2128295701462877,1.1850383740413541,1.208456716334487,1.2515698149779748,1.3337034272985013,1.2781129782961203,1.3698751448505373,1.4169389942979527,1.5746471855200637,1.592804268463385,1.4114034906320363,1.335588335547765,1.2257343732044628,1.2825597863316012,1.2700946265480848,1.226978839118615,1.25771136419756,1.2017177369394298,1.239617205555743,1.2690581210163403,1.2682218063739161,1.2733474224623407,1.305688965884615,1.4427554823269606,1.3487839967899913,1.3903718081592558,1.3595558651222572,1.3724100837345632,1.407203632494106,1.5124134123438755,1.510210326713053,1.609101237049888,1.9158176883549194,1.6563577657883646,2.0477718779569405,1.930212587053659,1.9481706095535163,2.1829556179830854,1.7195722140698908,1.569292344805211,1.521526954234271,1.8040135754717197,1.7369133753211952,1.473118690342894,1.694949304446233,2.519572766473283,1.714951876951655,1.5876527174559176,1.4191423881268377,1.5049080442081608,1.4956876251005358,1.3722051390107153,1.4403026549159932,1.2869865152835518,1.3098502537922099,1.3999638177415281,1.4022193831541094,1.634392996654498,1.3943769012737424,1.4863306622287036,1.2544019441783694,1.5498761755416661,1.3121341885120845,1.311385820509994,1.3552329741821427,1.3932653657396472,1.372079799504791,1.345389091508827,1.3885440286260253,1.4350219648536349,1.3736905166312159,1.346816901390607,1.3279435361920917,1.3143476181849558,1.3052276733050003,1.2946038624803329,1.3221406833488263,1.5001728908417873,1.386266210401854,1.250802968836892,1.2275250714900172,1.2855218180970214,1.2837088867135886,1.1843591695037048,1.1217802805092187,1.0870224982193926,1.1107144185733988,1.1222931476044915,1.1746925037392797,1.1326641856863702,1.2561697406199037,1.0658938527989759,1.0692969784264272,1.0568480950521675,0.890565909242993,0.9812152561604177,0.816320286914642,0.9688964479516647,1.0132065124797907,1.04156176331487,1.0413474175411441,1.0455211727975493,1.1201840166440007,1.2123163059301467,1.387770472211679,1.2316986311783882,1.1789977471835162,1.180282059624705,1.1371998817913846,1.1009517831025093,1.0284806932342003,0.969352076597358,1.0404115150018105,0.9416600561349537,0.8159410394712224,0.9359710977570301,0.8586590467330605,0.9550184651150936,1.0685626689741472,1.100064144638491,1.0839554463629848,0.9882121533826929,0.89964024689014,0.8345036086802479,0.8637902900019865,0.9803848889345451,1.1799589599380365,1.5032979375478979,1.3926978245675288,1.301795233478818,1.384584583217948,1.3562886966759873,1.3475588722153302,1.2341606763937119,1.1372528435397642,1.1443621665697623,1.0358125815407249,1.0797636930311492,1.1540319375452055,1.3612037598001945,1.2326883591055469,1.0385851614221788,1.0595894388811782,1.061148884274552,1.11017922845112,1.1157610497731336,1.1829527814989564,1.2753411737663922,1.3260525238321956,1.4478777772259324,1.3187149164751033,1.5407016749311961,1.345933945055364,1.6161917675504638,1.3726993297363077,1.1377999537062269,1.1160719670315253,1.189210442649106,1.2761900399409016,1.265381174611293,1.2735645282621018,1.239388512253442,1.2383933646901033,1.2801706065972116,1.3466698985891015,1.2515068718836928,1.3852723839716614,1.1832061832692349,1.2483606606895647,1.3298318881061408,1.2810929880629853,1.3757070217892864,1.4169801388794705,1.460700529775343,1.6011582854778375,1.7188962541708783,1.9895143038910073,1.5072511020354487,1.5645586298862355,1.377454124185184,1.2193030117525028,1.2200141748755324,1.152844168468053,1.0614090798207592,0.8934263627329105,0.7966711656590441,0.7814526099437394,0.7015807492629305,0.6593883091075502,0.6965745328942798,0.6934548347291031,0.6813448557437324,0.7119919219702914,0.7194144656664918,0.6829296178402836,0.7647844193201411,0.8074422230379577,0.8179310568134297,0.8360364298629298,0.9825623757172091,1.0942796081427784,1.1375028982519124,0.9229190498155688,0.9557330023297461,0.8591444560066612,0.8614068346075832,0.9017166977380531,1.352048051671697,1.1145598473574017,1.2545520085913573,1.0278471039399537,0.9770444090807917,0.9489791546212579,1.0800288297276712,1.119308748336553,0.9745174363559033,1.0192276734192915,1.2566424510730982,1.1293934993749393,1.049593343391066,1.295877918135736,1.4267220546356085,1.1941732226774529,1.3030644482351912,0.9602848492452786,1.045191387560718,0.9852767675929202,0.867583265779127,1.0166982172560632,0.9201886459812814,1.030377704070386,0.9578684202119728,0.8102920082509113,0.7716153943053385,0.8251159526531616,0.688924117036088,0.7145305834907005,0.8290117591099055,0.7147358481344883,0.7149265956623051,0.7501485127501826,0.9207679866826478,0.768076808635123,0.770787699243934,0.7829839697813844,0.7511172730653632,0.7691171146716149,0.818225724955086,0.8115336503062668,0.764103095760012,0.8239021087081287,0.8939136596099575,0.8762570702923735,0.8515639520868181,1.030058028682336,1.1417548989695785,0.9563277504713014,1.0825426731834824,1.3716535641029324,1.4359738155989463,1.203311979098626,0.9524739515622884,1.902852868920698,1.3312768797071148,1.1283066037724758,1.0479575040203715,0.9124527768577355,0.9721997950040705,1.2117734195809664,0.8872649212218753,0.7941154440471474,0.735314825022784,0.7203571758416875,0.6536873426514943,0.6911571694352231,0.7431229617350308,0.653454525873743,0.6858570975958875,0.673649160944381,0.9446542751292842,0.7700032882097825,0.6246643221073912,0.6718137875890466,1.0556649587472609,0.7084146247360499,1.0452527238236038,0.9153403917055885,1.4826345209236056,1.4535436886542752,2.2807580141354884],[0.595786563345361,0.6143927243398262,0.8865712945739556,0.55743594357815,0.6845713941751994,0.900727294067189,0.8781392134969379,0.8785065179926453,0.9404365247811116,0.9286877950584744,0.9335039326407558,0.981511100149076,0.9555010334575418,0.9437596587551343,1.0510800915008565,1.0235324590659014,1.0447619661312186,1.0720316805148031,1.1479065454750625,1.0898825473809433,1.178463670904474,1.229702183565046,1.400688452289528,1.4274156067121349,1.241598341732653,1.1524518593733928,1.062062461107017,1.0954601956464032,1.091535021746133,1.051985122683564,1.078985599688818,1.0241699692066326,1.055376416305409,1.0811946699127146,1.0770032971024703,1.080481410340657,1.1147894613797147,1.251410285325443,1.1549796596995814,1.1959698111456285,1.158357164578038,1.1963057528161285,1.2120814637162223,1.322237602500831,1.3571547916660893,1.4226114800836687,1.7875192922624996,1.451289914765498,1.7796181416392056,1.6808569739311425,1.7230485326169878,1.9131220555079298,1.490796917493564,1.3865509673395822,1.3666596908141666,1.5512504540605476,1.525008051121726,1.2771464130536436,1.4617579935223028,2.2856854729378666,1.4971269689086661,1.3812862344433963,1.2266028114839438,1.3148067623369246,1.3028875054665547,1.179255796925907,1.2538326062944654,1.0983492488568478,1.128554148723817,1.22391044400587,1.233947972085907,1.4656808846941856,1.2197281574286152,1.3140305546115127,1.0761193817772194,1.4045415942939596,1.1188312535757223,1.1172664659522626,1.150459534003617,1.1861745943267932,1.1608352668285464,1.141702136447642,1.2090273194200796,1.2649798602162505,1.1921342932935894,1.1465212566287204,1.1212544267747067,1.1244650169324144,1.1128144909359576,1.1034252595194607,1.131284257592969,1.3351221219535314,1.2140854226222033,1.0692162967789918,1.0526130567584298,1.1188014942882714,1.1302940906269878,1.0159275745706733,0.9638603483711999,0.9484430585613658,0.9472587898020562,0.9822903511279838,1.0048068802072923,0.978214150580416,1.1336313614638298,0.924342428172437,0.9305936809273947,0.9463919096160573,0.7846185389944487,0.8525362920332067,0.720750559143592,0.8456048798715969,0.8977478269406964,0.91467130131417,0.8990872197126611,0.8999304618217743,0.949676580698079,1.047067837380611,1.214942282865824,1.049425353146287,1.0225789217043146,1.0370433118440876,1.0071395155571687,0.9730631933041609,0.91242305017524,0.8382219676306112,0.9510191176358369,0.8491143694578716,0.7031489222622315,0.805705860337403,0.761215072642832,0.8404272172542828,0.9346426357968328,0.9439076117862656,0.939522511377212,0.8533984756565164,0.7951364863308459,0.7350674929747596,0.7609002821217751,0.8300677338569186,1.0348910224562329,1.3533297942158125,1.1979270293879138,1.1097702642982843,1.1653696014263648,1.1716957540634478,1.1815473090514401,1.0821373005244574,0.984110666417063,1.0121965307875562,0.916964202207924,0.9587747502764323,1.04907857722857,1.3061774012931942,1.1368808962220052,0.9044466477121487,0.9183262981826992,0.9253276353330884,0.9506883442355071,0.9550130477180295,1.0205306355523454,1.096953830278467,1.1551879372274243,1.2517691444950154,1.138320139567873,1.3969619871487944,1.2457412553674412,1.5697518683938536,1.328721148647161,1.0466407771392283,1.0025261796950893,1.053983842158677,1.112634642479878,1.0816306799643927,1.0851454052217109,1.062205256577233,1.0655056382433215,1.0932716482777949,1.1474304037699656,1.058377428259911,1.1886775787155535,1.0157746076345333,1.0842229234333,1.1658777097511062,1.1205640055415573,1.215374206367665,1.252794476719104,1.3006769179265785,1.4881757385129442,1.603541559968543,1.8808294955183387,1.355081844794772,1.44085252087718,1.2655577287669793,1.1133899631784854,1.1760661053336727,1.0728793640410408,0.9810798201342016,0.8344475104494116,0.7571765221082485,0.7440703651209603,0.6665918616498998,0.6271680808302124,0.680420783745309,0.684423722665998,0.6732280788420589,0.7206491997869378,0.7235765259784803,0.6941012509287677,0.7834405104447342,0.8293734120894095,0.8442082461033859,0.8619599519443623,1.0085544547927556,1.119326109297592,1.1554747172960045,0.962464173107424,0.9856232770450527,0.8827761186638384,0.8938621625008071,0.9142330956842808,1.3989566027920444,1.113750335456828,1.2548507303368797,1.0144670795416872,0.9557977579991294,0.9079383933743743,1.050036483999323,1.0970310827148841,0.9460541564601318,0.9717283278124593,1.196059991455476,1.0885299699771664,1.0081147096605256,1.2567662721199082,1.4062363803399198,1.1590251931058777,1.2605714813875868,0.9096646622811778,0.9900250717404472,0.9116091203566008,0.8216250721297164,0.9371945146369306,0.8731695505809192,0.9804980091492409,0.933459832225114,0.8140065354853189,0.7525217018754771,0.8119434885134997,0.6902460046964766,0.7187869383544774,0.8308782478908535,0.7172847911477283,0.7334413779153548,0.7588482082850356,0.9086429249486121,0.7899166298931493,0.8000471600626178,0.8113010139265917,0.7703393483999844,0.7659636664596203,0.8077976101890627,0.835123690038089,0.7785367202860036,0.8094709661834633,0.8957066939394206,0.8857262049961188,0.8414205869038199,1.014210465924383,1.1408747324517408,0.9524021541435147,1.0521864352340622,1.3601838008772231,1.4346530255258614,1.19736801984781,0.9629789280269397,1.8898882162816135,1.3316658360221572,1.1610407509780536,1.0658681473444747,0.9282550889049808,0.9876605442210086,1.2150563772818184,0.9076095506176645,0.8100215983499929,0.728903562327677,0.72012210126726,0.6308578488984866,0.6530858925112043,0.6764914290722842,0.6127125001814947,0.6380407324122056,0.6400322872204052,0.9013575080847576,0.7339493134723745,0.5839503400773424,0.6047895403030724,1.0149792353264149,0.6594742114463874,1.040791648875901,0.9576981976225604,1.3515767519779305,1.4060164747284936,2.5690054295828855],[0.5750358482723377,0.586275372112208,0.7989037147571689,0.5423566535539475,0.6461289229847338,0.8549682964752318,0.8333033048801147,0.8259100891709494,0.9184687032422038,0.9122040820409233,0.9230436090897297,0.9623159144870108,0.9353218823057484,0.945394297871024,1.0502849592676067,1.0154599827168382,1.047208309922511,1.080320362976265,1.1784653442162023,1.0977801235541629,1.2107374819491192,1.2548949724490661,1.4434884254171791,1.4730393735281273,1.2620791992030487,1.1787519108320712,1.057711024205564,1.0874267603768446,1.0763406027788998,1.0249506805059372,1.0785436398498105,0.9957362221235218,1.0373455585247824,1.0711774377408014,1.0565660049184156,1.0714945376213476,1.0739021703731846,1.2225181577903306,1.1267604642179827,1.1685390911107219,1.140748885532497,1.1953419989955794,1.2150792763265574,1.3318841534171055,1.3761695301418824,1.4444049184669538,1.79652735703177,1.4766080028391582,1.7800813665171928,1.6975096975398782,1.7232717675908948,1.9247242275126601,1.4890073935244847,1.3720848083825705,1.3410966376098046,1.5508933480429057,1.526046077494543,1.2650228834795276,1.456616327252038,2.3148550350756714,1.5219677018187414,1.4056302058708576,1.2443631920286193,1.3546585857487818,1.338206558255203,1.2024401005056515,1.301369341133054,1.1260451637095554,1.1731364257798234,1.2653861969139073,1.2774936304909468,1.4921369367310204,1.2719462629355258,1.3928055014962408,1.107722436123412,1.4506500946041088,1.1370074061756759,1.1341476401856316,1.1516116128314553,1.1842964826783378,1.1342391534665202,1.1094504942708865,1.178390863837037,1.2080006019657592,1.1532868217205703,1.1051185815270073,1.1023487701391637,1.095781113936912,1.1049645721061903,1.0962190866170305,1.1455944984938862,1.3745318808018423,1.2477255630187845,1.0829222588428062,1.0566416537229446,1.1389800334692555,1.1257997680572456,1.0003256540190972,0.933317157162421,0.9133544596644089,0.897443374268851,0.9335269793380274,0.9417256890502792,0.9059417098733283,1.0810421922192577,0.8377362099893416,0.8440837948403981,0.8771574335690114,0.7157877112512646,0.8031527688303769,0.6515945633633472,0.7827095259474159,0.83543627959579,0.8741140084166698,0.8838770922121291,0.8826263186615582,0.9469937726302115,1.0574551712262432,1.2544065639847803,1.0744657744092025,1.060822487053707,1.0518077855702088,1.0113712498816683,0.9588974430483945,0.8935041812188751,0.7856350974062237,0.8869798859443914,0.7969333751944838,0.6308878022793389,0.731407100197977,0.710055990615163,0.7756148359062396,0.874481892628189,0.8725575706169784,0.8763558850124403,0.7908062418391741,0.7300865593599759,0.6993353292611079,0.7207974677888993,0.8005712387374351,1.024322126975375,1.3656970512001632,1.2156969571066805,1.0950808314864864,1.1522134957660706,1.1528119294931916,1.149267715138532,1.0464219301768751,0.9271449392736297,0.9635377340758747,0.8631322638429242,0.9243039496766586,1.0151959775442119,1.3479957565089555,1.1378365489207276,0.8569892969947125,0.8712701853978883,0.871867290195902,0.8996678200825484,0.8902708904000611,0.960192793594011,1.059021583941912,1.1242229404319433,1.2139242284221827,1.1022634983794508,1.3622571506755483,1.2241810832745217,1.575692063461506,1.3374961154400287,1.0371528624508601,0.969913980383791,1.0096696029134244,1.0661114982927675,1.0243577315685986,1.0284939374813813,0.9977512791044774,1.0132097766521286,1.033869478837551,1.1005315850176762,1.0013193626253885,1.1419023081105208,0.9443643154229332,1.0275831374313125,1.1221912798184623,1.0794107812364038,1.182857749247591,1.2214164620991057,1.280367019489305,1.4887393884133444,1.6035072696518478,1.8845366042537042,1.3395209751388382,1.429004523326896,1.2458341826296662,1.0902255505898504,1.1804487436134377,1.0298304468872834,0.9293567159261803,0.7989400773899021,0.7334988686248086,0.7168199431629859,0.6292378079405372,0.5865804187304673,0.6545009729764476,0.6682813558543383,0.6482183291172389,0.704943387501296,0.7216285349407116,0.6999337559067937,0.7931164179912085,0.8517778144409482,0.8901401060774632,0.9148626071426684,1.0614280013929727,1.1912040789895235,1.2149204034153456,1.0226903642375003,1.0200389928575908,0.9095938616478944,0.9274134517465279,0.9471524038940073,1.4897728798960594,1.1674630143491325,1.2873806742906502,1.0238136311222024,0.9663873666912381,0.8905019299535131,1.0341922496617217,1.0987618299298245,0.9421489229704236,0.9426196149739516,1.1747637985450223,1.0926694241412083,0.9975771813336274,1.2330637405027474,1.4370917297966572,1.175502439052199,1.25114547762676,0.8863978827908526,0.953614962825167,0.8584117095028171,0.7850482076125912,0.8697188846487313,0.8377703180906627,0.9435981676718554,0.9158854957050995,0.8212695575371092,0.7344829254232892,0.7863933046534874,0.6860488962937957,0.7157678914860517,0.8364121374838458,0.7269223540546224,0.7464840633999239,0.7847926509366918,0.9443818474435216,0.821773711213561,0.8301060412207274,0.8333995772264433,0.7827872563902369,0.7546364473501126,0.8053561850588773,0.8679467263999734,0.7900401937674477,0.7999770089689655,0.9141152347331258,0.9010312457172583,0.8434167814587725,1.0296607660584072,1.1580959228617178,0.9637498472358756,1.0627470988129022,1.362349057011245,1.4310504297695827,1.1952214570136437,0.9708037580810204,1.8156402434513934,1.2777940703313866,1.1782707412825466,1.0670818167953022,0.9360590260029266,0.9969564891918515,1.1834239324594118,0.8914175034584187,0.8172921813196109,0.733409903277,0.72943417560133,0.6046518465392835,0.6206877909549239,0.6096589297142843,0.5536871635079857,0.5935975072573487,0.6101698115186611,0.9116269435212548,0.6952443130537788,0.5243762657662335,0.5376886632458301,1.0169545256044068,0.6019762216852245,0.9997116912387036,1.0433573539245378,1.314449175781284,1.5353955450748131,2.895546521365365],[0.6324157342654464,0.633542374933684,0.7865624783559443,0.5724674370462001,0.6295083174418905,0.8303438402231685,0.7871523997997223,0.7789838653057556,0.876196076172815,0.847669833521706,0.8573870404030607,0.9030244547239847,0.8561086278795547,0.8749283492444689,0.9653001907175813,0.9287523767427154,0.9545357867518323,0.9700296410056941,1.0647034627112983,0.9725288436092033,1.0921021863948213,1.1295248171203367,1.3303280767496952,1.363063082410928,1.1519978271277544,1.0654122186130464,0.9501918117768275,0.962327186959118,0.957500324804264,0.9099116334827431,0.9729199984963993,0.8923843785877286,0.9343647720575218,0.9518386514999934,0.9350019923301565,0.9534105218994993,0.936957174774094,1.0737434046133394,0.9824503294968191,1.0185982365352888,1.0121231235955517,1.0673200714343902,1.0763810521473192,1.189439071101145,1.3096968834889426,1.3878156389819352,1.7485565490370365,1.3615981308396037,1.5754158035869041,1.5463789305625721,1.5355261944210077,1.7678356267870021,1.3293690080580771,1.2256864684643067,1.2298501334575653,1.352234723753897,1.3590000631881822,1.1057881769496816,1.2668576904750468,2.158439990096596,1.3739609868781149,1.2555798844192472,1.1062839899610915,1.2288970458934156,1.200962636170519,1.0779803474087657,1.189816319944999,1.0068894393431929,1.066403193569428,1.1639201506673442,1.1686347704170654,1.374951041805578,1.1616540979330854,1.3081637287677994,0.9971198791683722,1.3832384703895149,1.0028271913011917,1.0067269906015794,1.0107411273135085,1.0376167654504134,0.9826910665686298,0.951385861406104,1.0888072031564682,1.0576189524616486,1.0277694185440975,0.9507118344594007,0.9632668493356966,0.9702147475799043,0.9666781655316926,0.9635652663498103,1.0220997142416768,1.279644123082898,1.152604898736309,0.985950230600169,0.9663217575498475,1.0522763961108663,1.0586626801617502,0.9129876857711964,0.8477838667369542,0.8652342076653001,0.8149346548270474,0.8639762076946135,0.8268577393749745,0.8053291403573286,0.9725552291644536,0.7486639328811275,0.7537902877029479,0.7822129667980496,0.6453477758881498,0.7495755201878893,0.6019285680213635,0.7013329553048023,0.7589456333271023,0.787456703824126,0.8166886123919737,0.8023580364877714,0.8475190896998759,0.9604392295754384,1.151718425773322,0.9732924178347674,0.9807240725012758,0.9760321077576231,0.9359450252652519,0.8784568474011266,0.8332927822014322,0.7054459071728119,0.8209151791025057,0.7331049968243457,0.5745425103246291,0.6451293529365801,0.6581809635435486,0.6924277240082406,0.7617433969528246,0.7548685210398484,0.7655012158520053,0.7078068197976014,0.6807436988807962,0.6618917146212693,0.680308418747479,0.7162713091856843,0.9394821271691137,1.278151196987247,1.1012532619203883,0.9668718366543333,1.0088626897691861,1.027911967326505,1.022495851716483,0.9451313302230392,0.8224768846366038,0.8798265860989566,0.8000363093757812,0.8846727083909066,0.9950180465504641,1.4264009472573724,1.1403531437595176,0.8003559673891704,0.798510927295896,0.7995111295875185,0.803979576512816,0.7951812913839784,0.8491893342731764,0.9334639224338536,1.0007273498670979,1.0645427600277024,0.9804363911224234,1.2557640525241902,1.1325771598580125,1.5331163480866168,1.320570252923795,0.991991035683076,0.8954152792347805,0.9075681961537573,0.9505586195103682,0.888203193873209,0.8939727586344006,0.8701097017002689,0.8944642930414731,0.9119110590833752,0.9714946346955462,0.8601695619428744,1.027485388732087,0.8199193240492331,0.8976707062923371,0.9848662316129941,0.9417449157488368,1.0416863074433262,1.0812043357622199,1.1476561010175956,1.4580549894046184,1.4968338205928449,1.755539693292861,1.2259122751970841,1.314241940676404,1.146486980614856,1.0053534974531928,1.1509647773359448,0.9961741498981016,0.8805170307406973,0.7702413939476538,0.7459836595608187,0.7067236735551743,0.6276955864676528,0.5954374426701535,0.6635319428887427,0.6901873953646961,0.6784373207886073,0.7321115975100688,0.7549671329333318,0.7439857775436007,0.8306218111423045,0.8897034181842886,0.9414312537416226,0.9719930809790595,1.1032919245136439,1.2408572128439783,1.2562002351306374,1.071445865769016,1.0439607682713454,0.9337178283724021,0.961177608481998,0.9591373672703843,1.49378019744909,1.213225289238104,1.330013465349821,1.0145706437923026,0.9477000381148265,0.8732691490465014,0.998727343079143,1.0796166373563898,0.922105352043135,0.9186037393651735,1.1093461910709495,1.067033886263482,0.9756701391452963,1.1783413588458596,1.4082394963780644,1.166033056534657,1.2593852166354533,0.8697914135233326,0.9347429586903364,0.8160280900344205,0.7584913955322532,0.81681084495051,0.8257769425428012,0.9221942607025585,0.8959496941643964,0.8443262138856489,0.7566835693507895,0.8063102226363293,0.7198681595354794,0.7604788631210295,0.8827946432548036,0.7749917472367338,0.7988692483867412,0.8560631299333232,1.0000586987878597,0.887633864614412,0.8924782830672967,0.8747879722440133,0.8232246561600521,0.7697936764764991,0.8229312833545169,0.8922795910936605,0.8131812298844072,0.8009457620576845,0.9127412196959299,0.9143894174120486,0.8522733251857091,1.0099879028567351,1.1556593110684013,0.9660577733585672,1.0511930655361414,1.311909789581369,1.3974785040431874,1.1862580098894884,0.9802574693510325,1.7738876411004474,1.2719994519031521,1.1873755192116828,1.0741751560761688,0.955907310999385,1.0141047634935334,1.1647431290875065,0.8810829291196017,0.8371457684752867,0.7551388231641187,0.7667930555123311,0.6218885356502329,0.6197030533514606,0.5806156220503232,0.5582661103848998,0.5935184830061844,0.6314182156696934,0.9588178915280078,0.690769193419787,0.5401585324305992,0.5502803439966856,1.0022097452046808,0.6116703093189836,1.0319634114036105,1.1415047072911115,1.3212021259760687,1.6185128779611258,3.0723288690670443],[0.6786266677209182,0.6733175666359756,0.7778030905809695,0.5609919892708546,0.6342076674134367,0.7441351190760659,0.7024803194366931,0.6925241432706036,0.7805048265569852,0.7597254981030702,0.7772832291079378,0.8254780885678921,0.7739388194899668,0.8044035728679434,0.9023457320762176,0.8570649511317489,0.8993377185477888,0.9312674650187579,1.048473837823813,0.9475429345082994,1.084702511102953,1.1242885236002382,1.3365805238193822,1.377646084207079,1.1473340435530546,1.0553471889712414,0.9263741935940417,0.9272920756269085,0.910417842181933,0.8497902792810414,0.9220802600441685,0.8240136931071107,0.8633762861816031,0.893407181322409,0.8784463505603728,0.901326614188638,0.8831708671320411,1.0557709827980377,0.9621810822609561,1.012379975975843,0.9983090331151863,1.056045874402999,1.072747746562406,1.209461818087416,1.304829692371581,1.3823000462081123,1.758088938563425,1.3795539897003033,1.6216077410732765,1.585572073927264,1.6065518263131269,1.779065113173434,1.3620916523081572,1.2385549902604318,1.2317081416436437,1.3886224749374687,1.3898503849822645,1.1141235658548987,1.2857683429321445,2.199227554546275,1.3863681365588632,1.2584924590388402,1.0937710674730774,1.2257054007150645,1.2012858452677682,1.0621069521329556,1.1834747234092056,0.9853605722546271,1.0620352045100612,1.144959868430851,1.1662337356412198,1.3921455890101035,1.161920324657603,1.3146000373293159,0.9799229100532574,1.3709273936288255,0.9837963286399536,0.9778968556843906,0.9841115004303777,1.0143083618120854,0.9525764437984733,0.942780285246119,1.060908863140875,1.0568044346029248,1.0121878245530038,0.9189380559584989,0.933195004685979,0.9184753736101773,0.929572108265037,0.9194735305340471,0.9818263819241803,1.2512361322931211,1.1186262925807642,0.9341279722129395,0.9048773588050291,1.0006608969025756,1.0009231184259328,0.8273758717509074,0.7600682742472152,0.7762215894658123,0.7412144764904265,0.7970952098103233,0.7694514094524152,0.7574222492852273,0.980520148603123,0.7415620017891587,0.7694742193082689,0.8178352265324643,0.6838839661317558,0.7454930425943149,0.612376104270573,0.6701864060286129,0.693107331811866,0.7341425808598131,0.7432209815889053,0.7421648920655437,0.794637907010868,0.9245673282179876,1.1378162755683463,0.9385237285079906,0.9504954750107213,0.9296810590803524,0.8915650627019868,0.8106435558392835,0.7466444908482875,0.6439404204201837,0.7732923610088672,0.7246843388798397,0.6206038822941261,0.6848480770538599,0.7492830035138315,0.7872922662368155,0.8225053861283371,0.7810547999894233,0.791592505129412,0.7036182538053837,0.6986926856885518,0.6596621568472248,0.644280287566756,0.6717019074706366,0.9168435608186958,1.2719834133340648,1.0824030864042158,0.9345605496502838,0.980581823535444,0.9882797192054619,0.9781755822608352,0.8860820863570795,0.7591678312247204,0.8021095352660317,0.7348894385295999,0.7875719194121541,0.9247923527245255,1.3962936965334123,1.0748291406137143,0.7175101734473954,0.7053143540540968,0.7311063671687418,0.7293798194395272,0.7474881672612939,0.8064045897365325,0.8932768613078548,0.9763118469065882,1.0481543509565017,0.9884361109942688,1.288488612819114,1.1699983351131056,1.5686181800906318,1.3628670516140042,1.0160141522035733,0.9193532674408494,0.9094899130958007,0.9459969265105791,0.8675515635162591,0.8653583779428535,0.8369240970451497,0.8488136368435981,0.8710624618183165,0.9351759501654684,0.850577947696018,1.0148891526942254,0.8075521376816792,0.9277883538731484,1.0334936687463177,0.9732387478649884,1.0685328616472367,1.094214136091933,1.180388851521591,1.4441653511822181,1.545883208189037,1.8109813610280383,1.244298925116054,1.3767832229271453,1.2026166613739135,1.1053879586932722,1.3116210188171933,1.0908507005746062,0.9943472502137762,0.9102475267457519,0.8945955315591002,0.8715792530372671,0.7854015377651269,0.7389926306484443,0.8267467485346413,0.8496204400529785,0.8089839443217847,0.8654787242642881,0.897225138338541,0.8731619218917077,0.9202604831397492,0.9950875031458657,1.0558370349501989,1.0572332017307748,1.2114147694662105,1.3392000734930163,1.3292021689486064,1.2287278241128141,1.1792300115128984,1.0764976757323366,1.1068543791307222,1.13789683023125,1.690071280775784,1.401044920123661,1.4591435511546165,1.1897001025153484,1.1429299396525114,1.026960447251558,1.2036859833411593,1.2877402874524093,1.1068267766119229,1.0988255402505382,1.2946095991412367,1.2506676909842374,1.1571756028926299,1.3425357822088662,1.5794990507224862,1.3370087188386857,1.3817704119869247,1.0218493447502923,1.0769432206038245,0.9627812580524665,0.9172822844764928,0.9354246677371583,0.9793185044293293,1.0162412586699616,1.020402184757962,0.9870353337401879,0.884169661736849,0.8972973429521583,0.8554313998870193,0.8807413592553467,0.963004787486744,0.8765919293216684,0.9161413725271919,0.9348917661816327,1.0326736496883038,0.974955235856675,1.0106458240597775,1.0170522038437153,0.9810544748215254,0.9238107050463995,0.9982884386848945,1.0608199086561703,0.9715437537944239,0.9746870709102926,1.0969821899650767,1.084066637896608,1.0253519111750677,1.1809733306955346,1.3299482772879423,1.1239763582984512,1.2036489677893096,1.4591099735887163,1.532002547033886,1.3212633447254334,1.1209281965905113,1.8192538804667644,1.3639813997195762,1.30048404055519,1.1526248181867178,1.0518238046972863,1.087536215374176,1.205399982543583,0.9917273247664568,0.9836017403942243,0.9061151324072777,0.9181254056526039,0.7343937303088437,0.7611287848017042,0.6247967954711583,0.6474802234839863,0.6738753010702392,0.7266358642154372,0.9845990091758816,0.7310708989232413,0.6209660742723275,0.5910146053835522,1.0263954687649406,0.607866747307113,1.0398537188592052,1.3962624608370937,1.5000797182616596,2.035567617538422,3.760407963575472],[0.5779363005424629,0.5946733508143435,0.8189733765172312,0.5206373385117987,0.6590044243469361,0.8035856092361151,0.7695846589991528,0.7544524797196871,0.8286679430772266,0.8081964370457883,0.8097554814380565,0.8561576039948077,0.8223511925162945,0.8208804886787626,0.9189160232904107,0.8887844409608646,0.9339094141775107,0.9657508188426341,1.066649423533178,1.0008783054750041,1.1169843055064135,1.1757720414703086,1.370000094768591,1.4121517472410514,1.1999775102847263,1.0967585271156843,0.9870739257462567,0.9834948335539365,0.9704888716492339,0.9227246985329097,0.9551602257353573,0.8887527177079215,0.9166818175144814,0.9473646215128182,0.9419017335231842,0.9600349397547906,0.9692434383233347,1.1414897820364014,1.0577568749308577,1.1256976012507751,1.0844625505497223,1.1323041607399824,1.1522086600480184,1.2873911098060145,1.345101651968543,1.4063617454618467,1.7840800042818183,1.4298443258242166,1.7188404219799187,1.657483164178093,1.7197085974867918,1.842889088712159,1.4624967026039817,1.3428192228805984,1.3497893215856807,1.491509473786661,1.476554037832505,1.2154647782265793,1.382368320547815,2.230164602327497,1.4271491514252825,1.3040478870611776,1.1353541140479961,1.242143536451129,1.2338288998369973,1.1034780556924118,1.1900647265352764,1.0145382471549866,1.064625447991721,1.1425229848482679,1.178732863387193,1.4014365962883903,1.1621099902609096,1.2821414973587646,0.9986187220303683,1.3593828024398675,1.0200971290878318,1.0136344079632296,1.0435549389420826,1.0946919056495008,1.049203658202296,1.06104244787099,1.1247488989390464,1.2043741006981168,1.125946492683259,1.0336559786091257,1.01998857863593,1.0109771148461675,1.002866803077613,0.9851958336535885,1.0174593188165022,1.2614054508928818,1.1201504412990433,0.9419688317763697,0.9153494866788091,0.9887362735584978,0.9870039884969555,0.8654343378290541,0.8139518902863122,0.8081167110671711,0.8205803400161902,0.8766197721000151,0.875229838655764,0.8668884591125855,1.0941430651903938,0.8286231561850608,0.8596128319988593,0.9154134729586606,0.7478688840114576,0.799959666075576,0.6632934529529296,0.7597793270028234,0.7815186777602549,0.8142860703353616,0.7807552011166451,0.7800110190020527,0.835441359506584,0.9504554377924785,1.141397104191819,0.948479271443187,0.9389070143259544,0.9371922303155859,0.9096608155039926,0.8569167872719582,0.7998293067244292,0.7198695291995255,0.8665305536954574,0.7962366489131764,0.6655320081167134,0.7561736868585658,0.778300280219234,0.8539791754445694,0.924361896681822,0.8963543198581593,0.9002215634723095,0.786830869216334,0.7528340555428629,0.6834622601459803,0.6603117505636137,0.7284206365579686,0.9815153388096957,1.3015156714278127,1.1134981529788939,1.006022006001982,1.0543076480036906,1.0681976939949152,1.078630189508032,0.9687061482934686,0.8635001143857077,0.8891535238785024,0.8157803549975762,0.842133579008831,0.9426728502921122,1.3153310934606721,1.0977208605674231,0.771801899919551,0.7863679307791478,0.8127923676793413,0.8189278783973704,0.8516726158205071,0.9163314122529804,0.9949452779887938,1.0683877371424346,1.1615404187799487,1.076046090481503,1.3872487181702933,1.2530861205063486,1.6121837103614554,1.3934807137275211,1.073148414077737,1.0004678411651826,1.0018765776282654,1.0492178281135278,0.986408426632463,0.982866456971405,0.9581337673917887,0.9545328098380406,0.9851057152576335,1.0391312705758253,0.980014459007198,1.0919974319208465,0.9253369923585631,1.0371987671927356,1.1418697072771793,1.0915180129440227,1.1915038809296281,1.2147256235168393,1.2867853169203327,1.4700530921120547,1.6217815908923443,1.8873999666882468,1.332088954338329,1.4730821432172096,1.3019779643852936,1.1833017525989376,1.322254263102844,1.0907846831616665,0.9949978453771837,0.8829024122235041,0.8211854151450002,0.8188142299965875,0.7228811556825616,0.6771164568178955,0.75518678084655,0.77245972707692,0.7306426216055394,0.7825077140400192,0.8131370476098385,0.7854204533889144,0.8464245849807341,0.9118888372244661,0.9513133054174547,0.9516253858741384,1.0997623018449882,1.2332579419116085,1.254062569515191,1.1126092242531886,1.1098969336940956,1.0065121863936592,1.0315646830088143,1.0749774761007875,1.6432292032768503,1.3054906272723776,1.3697335429407183,1.144271983075296,1.1109420733770472,1.0069319204831562,1.1869230797748052,1.2415012444295248,1.079217919827384,1.0748079112487214,1.2976607219511824,1.2231203319840827,1.1230048659314833,1.3457238482590603,1.5703590352349173,1.2912331043294774,1.3478160509385324,0.9809377553558157,1.0530228134096342,0.9671877417549469,0.8835545341412918,0.9260871545123502,0.9283615385766151,0.9909782106743554,0.9975276074941999,0.9377825893814046,0.8276947827779287,0.854058143157909,0.775087902236336,0.7902918974595143,0.8655602791472954,0.7796208518744198,0.829580010783143,0.8289492681975108,0.9474158684553425,0.8884903845069968,0.9220721253378524,0.9325749229416076,0.8983747231332422,0.8670999922509975,0.9449331425218922,0.9923731025424206,0.9028198714814012,0.92761060496851,1.0414492367775974,1.0191347125738286,0.9608028819542288,1.1491020981104054,1.2684339554552797,1.0763981889698595,1.1626752373721572,1.4583617000774431,1.508504910561519,1.2812697345014727,1.0615072474826297,1.8641066196083134,1.3469136763377287,1.2711098498543336,1.117159534437362,0.9907431217981372,1.039021383310472,1.2109648282157657,0.9606696628995156,0.8964489167824289,0.8189413507998031,0.8221540021219765,0.6624855690709829,0.7034588246638898,0.648509093737899,0.6040897532313966,0.6377460157524073,0.6703068399274875,0.8739660719664569,0.699545976524211,0.5637930640868328,0.5433241074040531,0.9711418501336753,0.5917955178602597,1.053323953827648,1.1945891593856413,1.3552622603566151,1.8429328500707165,3.4431511148849037],[0.5623611273163527,0.5874855041987516,0.8271139862912655,0.504663752739397,0.624432485528038,0.784497738998851,0.7317100138462863,0.7119258162272211,0.7722547751533568,0.7263516374991791,0.7206329646909458,0.7789215665935986,0.7193076777596552,0.6992118617981703,0.7758552321845191,0.7659854337281893,0.7973183470841776,0.8031006218583814,0.8645110651971677,0.8250051413113427,0.9252020548064777,0.993715455929808,1.1655170906901773,1.20646858729383,1.044543210138644,0.919753191766737,0.8571929365347182,0.8216644644042432,0.8204984725998433,0.7941433368620858,0.797150066716002,0.771702044630083,0.7882674819866387,0.8004400471449928,0.7966946829999416,0.8001267676705045,0.8282617761226452,0.9883414560508581,0.9006127526602408,0.9779603853795414,0.9572398625050179,0.9860989835114179,0.9742618843297,1.09148626923027,1.229377245632449,1.3257200429046911,1.714023118493145,1.235279401570272,1.42234171600717,1.4164912191328343,1.4412797163829618,1.5922953201291619,1.2504012186858278,1.1817202080007063,1.2553951982067861,1.2345163591481547,1.2534372133133624,1.0341264905061833,1.150916589461439,1.9627482576276463,1.205383195523605,1.0829684212310169,0.9289686620476553,1.0573828870221795,1.0319945063514764,0.9224003354285893,0.990074144318976,0.8256173519568316,0.867553611778522,0.9656913562794812,1.012667067411063,1.2194474052930946,0.9749302064425845,1.0860496861972466,0.8296995707612514,1.2139577525869687,0.8262641087777672,0.8269282633094897,0.8614222483732402,0.9016597640106517,0.887401293476746,0.908346655031734,1.032544571504886,1.067401055882155,1.0125550545241373,0.8844983408947301,0.8596994191590479,0.8670127678229714,0.8256579048353665,0.8235059871065521,0.8343795804763283,1.0984942122716217,0.9495969530607021,0.7754267575569688,0.7689992390332125,0.8296655682744413,0.8748434376711561,0.7515668655824438,0.7225472601013598,0.7463048349198425,0.7367358871169327,0.812577479914401,0.7821867937123187,0.7910510337643497,1.0120504395534526,0.7588927989998688,0.7798205568406029,0.8280480787652209,0.674038580009196,0.7401223364734876,0.6034828079877479,0.695658103692575,0.7220333168399895,0.7372924006355651,0.6844237886200413,0.6771842712129766,0.6971119163558892,0.804918511309407,0.9497308487974142,0.7798793410812346,0.7879426424775199,0.803483457471862,0.7868278171763181,0.750925705172814,0.7210376477302487,0.6431251328562123,0.820368345392531,0.7426685829636651,0.6062894876685876,0.6905153977843529,0.7175919421223644,0.7609132274700375,0.8170201157583853,0.7886496758590064,0.8019369865576493,0.7128562281753774,0.6967082403225243,0.6644935034530014,0.6292834718521543,0.648816690609626,0.8714334583651745,1.1841603169795656,0.9532342301768499,0.8554642561278928,0.8940482678626273,0.9318814996605896,0.9542638410331693,0.8672136954084434,0.7694691821007141,0.8169425886764717,0.7602226947819202,0.7927857607320443,0.9145500309220562,1.2852416805537907,1.0442933045818235,0.7172615470433114,0.7178725054970229,0.7487900736767626,0.7297052956996942,0.7682002673286866,0.8194167016911521,0.8747945862934805,0.9425147776310957,1.0094150916315106,0.9702871347966824,1.2618466941434479,1.174221857914638,1.574899516707974,1.3714673291884933,1.03519389944092,0.9294953251408473,0.9127918803798536,0.9451913826628165,0.8659333045847017,0.8622267758463182,0.8499022875920853,0.8437736044896395,0.8697410131245186,0.9155689725614263,0.8605107436351929,0.9940494239768519,0.8244882185423127,0.926894544534861,1.0230598481978515,0.9710065071595125,1.070042815785884,1.0913423438618635,1.1595155083191326,1.4599114839808285,1.5386286547867771,1.7694172891840854,1.2171516775130558,1.3486724797898995,1.1767510266861836,1.0720341373697664,1.2487244779809477,1.0468734155712385,0.9332153679290861,0.8105116726800099,0.787353738887966,0.7390683753693603,0.6576120810155714,0.6189515061620092,0.6739384635977895,0.6860321705546096,0.6685358107834805,0.7214643421311858,0.7365850353378699,0.7117760033814637,0.7939948870393982,0.8500911466257554,0.8809529986315839,0.8972577984930246,1.0432293798256425,1.1674066243067496,1.203987761229925,1.0192434595318292,1.0105315192279738,0.9091520052015916,0.9232582879046085,0.9450911513961033,1.4654886729048464,1.1700465985699307,1.305661956607068,1.0256778876812007,0.9640739860336518,0.8942557448538079,1.0398517990134086,1.0937089458329776,0.9449384225994738,0.9547517707548585,1.1426817518717125,1.081276907202918,1.006034105447035,1.2212374208335754,1.4240794838472326,1.1696400803481344,1.279716452542218,0.8935669836677991,0.9900756685158028,0.863968331091799,0.7946829537938105,0.8510759961231017,0.851439372388302,0.9399552086081551,0.9353056678521392,0.8551402745907883,0.7579124736609508,0.8066949149135525,0.7025903308878846,0.7286136237019688,0.8262687619197548,0.7247807383650281,0.7535544066823825,0.7718952975142829,0.9127726537162655,0.8183688027108635,0.837148896806213,0.845228511285038,0.8028514258452989,0.7752083985988613,0.8309718416200619,0.8742493851187786,0.8037764443386209,0.8156543236749821,0.9171299360861667,0.9087370439487699,0.8545332480786906,1.016492214777944,1.1538694166314367,0.9581620595281901,1.047784435112185,1.3094034777778198,1.3954302389213311,1.175958266823401,0.9583414686516828,1.8199280856114517,1.2970967067716677,1.1664730175237537,1.0672501480276433,0.9309810949956862,0.9980440546604095,1.19417070381892,0.8940830484811367,0.8075350600238164,0.7257377144518632,0.7358391918712891,0.6075811016263262,0.6538161967145635,0.5902697646154804,0.5548504019781519,0.5898031001696041,0.615582984939819,0.8550120720883413,0.6643735082999197,0.5227202690888675,0.5174455440397756,0.9548262673424327,0.5849536146904767,1.045216192175863,1.1167915368578558,1.2876355239763693,1.6965026769697438,3.1703687558969635],[0.6104968157770366,0.6247979694073625,0.7731202347115108,0.5182291030190651,0.6561254097064954,0.7043963758098168,0.6453990248309757,0.6325277970546643,0.6800689197774389,0.6223194802716355,0.6253095345082816,0.6987650072160934,0.6190361603709864,0.6182006188785493,0.6933270981233234,0.6615430102082779,0.6985993360093707,0.7052200874245976,0.7929200266269212,0.7454826083160908,0.8676510677290943,0.9510161366041966,1.1286338843752097,1.1810847970197667,1.0148351543022032,0.8689518148330484,0.8074898743528072,0.7291990948063687,0.7177875856487465,0.6857811467521933,0.7042886993608277,0.6566614279228121,0.6673842252557294,0.6850320634138175,0.6905600495401147,0.700011638017409,0.7207648566190784,0.8935531055639327,0.8128137415573816,0.9097473255909133,0.9162420745973213,0.9378500675248249,0.9205815159680866,1.0480801811923877,1.223735068600934,1.3182555467024784,1.7118798958578698,1.2151967393335212,1.3488761869379904,1.3743343400045915,1.3852185084089146,1.5208369966107886,1.198610679420058,1.1373713039290805,1.2552850595474299,1.1535183317646776,1.1765883796674812,0.9718567293900239,1.0682409699508735,1.890705775334199,1.1406961192179021,1.0141131031301103,0.855042725475911,1.0162346900519141,0.992496754231404,0.8580014152035488,0.9227746735061141,0.7401358068548289,0.8088546514693636,0.8885370530468981,0.9625555861531002,1.1879858570339934,0.9314123680661621,1.0812951147514,0.7680965143215376,1.1811561196697524,0.7438718544438389,0.7416290619447594,0.7743126620760402,0.8189461599864412,0.7810628325278315,0.8253851332564751,0.9857418435455905,0.9890759973715431,0.9544914242396377,0.7914559553241057,0.7693573952576259,0.7680385679928194,0.7299686854793509,0.7207095221457186,0.7428404660391138,1.0324510664540199,0.8911205466899043,0.6941899681277085,0.6794960587153644,0.7661838195189601,0.8085654550271435,0.6468592119581105,0.6198420772531199,0.6828502356497791,0.6430375545958282,0.7425252097796837,0.6833193049310804,0.72141450058809,0.9918513501883957,0.7345181097832797,0.7927563903049892,0.8530880303208659,0.7239021112374558,0.7550246387805206,0.6255788788336771,0.6442685166602123,0.6359890038631099,0.6567924514964244,0.5990365304794858,0.5936718496910328,0.6135685881633299,0.7315865648717127,0.890097340353343,0.7027980905771984,0.7362909858138877,0.7180366298084017,0.6980879913511794,0.645556281249231,0.6186563293596763,0.5767971762769579,0.7446122457003207,0.7278394742483423,0.6593226265453468,0.7170150276228887,0.8135556856734141,0.8457512905918468,0.8569626318195273,0.798015865890214,0.8057186019960012,0.6951796853690458,0.7228853891568303,0.6890588090511266,0.6318276826907786,0.6056074528911141,0.8112705351185041,1.151998153439277,0.8848584823729807,0.7634959229710779,0.8009700036855493,0.8236479688776176,0.8338132184771353,0.7713377869973322,0.6651803326916959,0.7124817827404819,0.6973164873723632,0.7133474788655184,0.8624865824527164,1.3546063045673888,1.0264578301712215,0.6464911515228129,0.6284452385041428,0.6789965523781193,0.6348695135736752,0.6956327391030128,0.7382891764495896,0.772386041246843,0.8453165762143676,0.9080712873587287,0.9221045959343686,1.1990240500375575,1.1755352300163187,1.5959791791515145,1.423689341257074,1.0644279746940433,0.9402224639190092,0.8693511143218721,0.8946909631101514,0.7911875180208042,0.7796933705464576,0.7706070345288024,0.7483709556154289,0.7832376060168807,0.8217446773906815,0.8052161453224249,0.9422974026722182,0.7816844223151936,0.9122678330967554,1.0241417249973774,0.9609334258018751,1.0473005212531805,1.0463484638450253,1.1496170531714405,1.4842440898588904,1.5481524687224726,1.7748566614339798,1.2171817296460063,1.3632976916436799,1.2024865848450863,1.1467578102022122,1.386727040568546,1.1382013297614224,1.0357051403601538,0.9525357535723935,0.945267418491929,0.9077318734921861,0.8301201501646865,0.7888661471034685,0.853225679021407,0.8654406935349542,0.8216974230852454,0.8686983466454608,0.8895823557155701,0.8727914414673379,0.9179905975338514,0.9759010157196235,1.028814663640416,1.0369654683066052,1.180844591671795,1.2969845864630651,1.2955545737600371,1.1758222466783816,1.1335250885118342,1.0478877367166493,1.0750684465610651,1.1005261913536781,1.6536436843682922,1.3485780075921492,1.4432629592069708,1.1786119728377236,1.1513620469642913,1.0475177064570365,1.2016748631479994,1.2801949836895519,1.1139105269913787,1.1141803660116745,1.2858504564521693,1.250680644404077,1.1739199367816082,1.3591502316081172,1.5725510037127823,1.3430649595300306,1.4155811013074593,1.0497919328132066,1.1185720567437067,0.9889173952706825,0.941298867267522,0.9479723258321298,1.0123689092831996,1.053838087511363,1.0664315720710222,1.0321486957551365,0.9256063890054322,0.9408640341890228,0.8777192069068704,0.8889992653478009,0.966239795850445,0.8811073519438655,0.9214588355264168,0.9330342806339258,1.0264492854731293,0.9718493733496958,1.0039217860512617,1.0005378221005201,0.9727748332725259,0.9247807347019633,0.9966235696914486,1.0503291133115005,0.9658072181084395,0.9744717949794799,1.0761973164022232,1.0603196623468942,1.017770295104555,1.1574020366343274,1.2829770363572772,1.0988359586232195,1.191830676453966,1.4097204692956207,1.484901867326093,1.2859696214068814,1.1010640231373692,1.7866939998453417,1.323077268623339,1.263773094150405,1.1260061207090155,1.0321884683444247,1.0725516409023212,1.1920401717840392,0.9891290717408031,0.9714243736325997,0.9262865205935452,0.9354593102908172,0.7745626269014896,0.8185904274815872,0.6627852207689036,0.682124891790985,0.7103378455262461,0.7571786575690242,0.9693634423357852,0.7355470035643817,0.6299452910441968,0.5766173932869867,0.9784807156219759,0.5844649704900834,1.0417148189667012,1.4299828724629238,1.5229053878009309,2.2329530334924415,3.996864859996074],[0.6050516898676304,0.6226090281636028,0.8222898522448594,0.5082301136780363,0.6932335163382891,0.7258705081797828,0.6766013876434561,0.6609547649282475,0.6850272259963859,0.6327942595842841,0.6247771124747432,0.6974625523848391,0.6451547718492243,0.6056206179976096,0.6865898872379395,0.6826360311880352,0.7329133808485355,0.7509900364451334,0.8345465606101395,0.8198135525634855,0.9327023099541263,1.0234499980283398,1.196073522939529,1.2525280874885858,1.0798805538615561,0.9329693546423634,0.875268663287895,0.7928339129704371,0.7790709770640664,0.7483000754290049,0.7360913416913522,0.7183116375772094,0.7246195200567407,0.7508050028697689,0.7573721066353132,0.7667785110550424,0.7947211552546141,0.9789342614535702,0.9120689109561658,1.0376026803777558,1.0045763575487552,1.0160994319081254,1.0121619157365382,1.1448058727542545,1.2707992376953137,1.3527704384609047,1.7553045373079887,1.2925393700697654,1.4735517321188893,1.4896407639595697,1.5450773145403087,1.6113336154515947,1.3218701831425503,1.2472388487557544,1.3287698156339272,1.2967382010449016,1.3106405636147027,1.0752755340762306,1.1979286297130907,1.9918052371974175,1.2375884127460752,1.108800201277898,0.9351469181513383,1.0708167606337646,1.0588056570978521,0.9385483559167791,0.9803268611042026,0.8011778762778466,0.8428532415016275,0.9124636204208575,0.9751318423309528,1.1894852469213595,0.9308733235987513,1.056399398630165,0.8062550793760703,1.1998854695829941,0.8115434730981664,0.8042888382943536,0.8485293795867165,0.9145524966280859,0.9050236043230251,0.9611945653686848,1.070544541632336,1.1538612881906731,1.0765305838457528,0.9107785297739083,0.8768473001770648,0.8643635792355397,0.8122463937874914,0.8017314803188378,0.7931639705880054,1.060683476298819,0.8984269554254002,0.7010331661388346,0.6869795716614333,0.7343890551081665,0.7761891107317573,0.6604653925141715,0.6386594612367478,0.6908631941179888,0.7012669223060709,0.816375088304404,0.7827172825257293,0.8277860458138243,1.1074041933247794,0.8493969182365166,0.9240397334292683,0.9849655313363105,0.8375699104154893,0.8403234331740398,0.7061497014465751,0.7388500595829878,0.6984619234806377,0.7175839718255574,0.633078647202972,0.6363669761120566,0.6573483918337628,0.7707040030435716,0.9304300265614651,0.7315419298227183,0.7349620388837594,0.7332683912218297,0.7251302144669153,0.6663641425510994,0.6333269442731958,0.61612451268199,0.8099581900743364,0.8094013503190525,0.7548591998198627,0.8426280211406705,0.9372457209782608,0.9981431353461688,1.0095225696839443,0.9479372103916797,0.9453921835665676,0.802464159234468,0.8170464438427018,0.7507508010200779,0.6567057501168216,0.660572051925547,0.8780758052871087,1.1879061762292293,0.9380699047485207,0.8424093793901278,0.8932000533666699,0.9058831900837432,0.9226699667608314,0.8335621100359437,0.7489758323935729,0.7648529178342076,0.7565597453615436,0.7330461983707061,0.8939810756435804,1.2847662573530734,0.9951264404771474,0.6766090471505474,0.6714505247463336,0.7445009332622898,0.7100665249740669,0.7917935785481561,0.841246411452006,0.8799749889153868,0.9497647250592913,1.0325912406537971,1.0528924838950646,1.3419663272134508,1.2915090809895082,1.6707481612772754,1.491984010037442,1.1443876100609849,1.0494826010183136,0.9773014643710651,1.0166356847222457,0.9237461205391061,0.9042643554897406,0.8962677506271451,0.8484894398411928,0.9113122003705468,0.951631745998821,0.9594493154401192,1.0430236586727737,0.9148496212702425,1.0631123677714711,1.1735464384173042,1.1068959804619596,1.1915632729905004,1.1825766219983782,1.2689596628235285,1.5228036092537325,1.6474380591532232,1.873458489195671,1.3404902491106319,1.5052699108456893,1.3469273289695292,1.3002876523001181,1.5197406816116794,1.2318196470864493,1.1395412083749838,1.0553245404511102,1.024144801222675,1.0100071799348755,0.9227268007846422,0.8710475057627315,0.9374589106509957,0.9525473431381857,0.8879646264420118,0.9238326441766148,0.9615399899880394,0.9304418206976005,0.9533099937322304,1.0174304423353167,1.0623562134240265,1.0439839598532852,1.1866030334441053,1.3087860742556976,1.3104979916886024,1.225282866366599,1.206653861419071,1.1264130499697782,1.1541229210680628,1.21360905205827,1.8063693297838823,1.4581890088690328,1.491883315426447,1.28899232898293,1.2832767642545746,1.1762374460370737,1.3587554475375325,1.4102107292102906,1.2479285122710089,1.2516852523748379,1.4341412892465726,1.3769296769226196,1.3021016328110828,1.500530685299253,1.704286998140612,1.4474543937792508,1.5061700010262897,1.1487425934472248,1.2340202486082694,1.1269875552796995,1.0625077548931197,1.065870460126332,1.114130792503356,1.1463856212429187,1.1763874427443846,1.132444861342736,1.012080875674728,1.011266031740367,0.9429457318845283,0.9386242499101979,0.9778068457714818,0.9122590373359464,0.9730326596860744,0.9530072177533938,1.0238792877759206,1.0034225750337746,1.0557337654751042,1.067221597947651,1.0577443208163857,1.017949042695779,1.1097866690839766,1.1519659478677184,1.0562155745316182,1.086510621541641,1.1905751218928593,1.1599012808623075,1.1157101535988618,1.2755590493771314,1.3855007704908837,1.1974274532942284,1.2886797460186836,1.5372599489570642,1.5627705267795193,1.362278682769628,1.1778084814652021,1.883108179080307,1.3949035630530382,1.35394104319052,1.1827825033681258,1.078578572982256,1.1047248440632091,1.2412830990289676,1.0511936489471378,1.0264908984311463,0.9858352193856258,0.9977201986723258,0.8180463956452261,0.9027910365878703,0.7267411822478371,0.7278501323673487,0.763550740477695,0.8146119525229358,0.9147483325215015,0.7599487542448022,0.6812216381324392,0.6242907564804828,0.963308657038188,0.6158042731002233,1.0964863835998184,1.4618869482609644,1.6167069608907336,2.466808307792305,4.25101656753283],[0.6387094313985254,0.6593034038082538,0.8797429167571308,0.5506719598162616,0.711621383386015,0.7906939291104141,0.7419432774774695,0.7321707365692783,0.7389551919328878,0.6940864994481015,0.6811991835157174,0.7525054925323225,0.7066839546114453,0.6407533657520684,0.7116097914284844,0.7266608952243764,0.7616560883995791,0.7693055098674748,0.818823767850331,0.8391227743108731,0.9242723597647294,1.0219885221347569,1.1663611839322405,1.220110778064408,1.0797675010121444,0.9290136702504247,0.9006849312197426,0.8167457078277637,0.8123891795966443,0.7976085428536757,0.7637694023930672,0.7792151663509556,0.78291788951926,0.7948204582064161,0.8054236240640353,0.8022704562609794,0.8435739335996089,1.0106114180129593,0.9470446631355733,1.0718405919896776,1.0355964079787088,1.034187211149011,1.0268855380500352,1.1507719223177373,1.286612263976247,1.382248823805008,1.7760155029424776,1.278377562735983,1.4367946479299205,1.4595014694574986,1.516077755191229,1.5809741190643256,1.3251738563250317,1.2658127462605913,1.3710615457136874,1.2948649320455368,1.3083532278706085,1.0981089677208467,1.2055406695714932,1.944046123722831,1.2231681665359189,1.099658926300526,0.9379369138465682,1.0565344603678837,1.051508555741164,0.9468464815130878,0.9581268436027561,0.8112905047187248,0.822068202253744,0.8980701868868053,0.9581520090762875,1.156064047440367,0.9066772897863299,1.014700694971654,0.8254315699248947,1.1928276351333162,0.8325271114757188,0.8296584728274926,0.8793921491579301,0.9458096839232847,0.9522265412689432,1.0067136312681992,1.1122371588824813,1.2000070047579663,1.1164702084387939,0.9600587640526942,0.9175373162309276,0.90913532675699,0.846624931126959,0.8465906561526578,0.8095735022354821,1.0472296932764782,0.8961569928705434,0.7243161037788072,0.7201370968657648,0.7381969498619148,0.7943074203152155,0.7123354581387382,0.7043152597787488,0.7472760162051554,0.7708399287706366,0.8861359662044276,0.8610488845907602,0.89732922616483,1.1530937182143948,0.9044584284961079,0.9685337306509572,1.0154706818096022,0.867413734940403,0.8784409523076155,0.7602647245225013,0.8108824174610887,0.7736677742422858,0.785067793474297,0.6988875015799171,0.6926855716427108,0.6907214219678546,0.7727918230615395,0.8975825289472755,0.7277678657602744,0.7197203828044482,0.745942884560553,0.738504868709721,0.7030092461593652,0.6865299797833031,0.6851554724846377,0.8730093571933369,0.864201655663181,0.8049516465925277,0.8915620392301343,0.9600290116441176,1.0073329220449787,1.029120477259513,0.9839957205657084,0.986125293845118,0.8552557615012267,0.8513708367678714,0.8047961868987554,0.7144703586969514,0.7198647062778365,0.9015285391542983,1.1708544217742367,0.9320356354464132,0.8692060919479889,0.9211717982681767,0.9405191742932857,0.9635160199091881,0.8874992220929355,0.8181122496364279,0.8285745077565181,0.8283799782457528,0.7981292126560963,0.9566584032460042,1.2860552890797263,1.0128272764976318,0.748372028871726,0.7443251983295593,0.8144814823626396,0.779205839731407,0.8593484425031451,0.8989070331330064,0.934424501293097,0.9922294129206769,1.0699376785145267,1.0929508535982488,1.3747475714777007,1.3138397991187354,1.6833824692852621,1.505812916539841,1.1739599500497624,1.0797318373182412,1.0221340582612488,1.0587769067467623,0.9758005040476029,0.9600570438783417,0.9566265761964446,0.9114436500794514,0.9737249938490524,1.0028260634292125,1.0162641503431136,1.0847056264691897,0.9672296810098894,1.0951896022484113,1.19344453226991,1.135944557834922,1.218355397276747,1.2161443995458676,1.2861024797876721,1.5451017380208132,1.6575567775100286,1.8657983211731772,1.3538116224015124,1.5081189118070548,1.3503489738037249,1.2965250295031687,1.4956409875779264,1.2315199439947897,1.1304507516788955,1.031529714988194,1.0135589345678377,0.9767640456237355,0.8987617799301669,0.8579299210091926,0.8948521784841081,0.9021466746561586,0.8570047761679613,0.8824756105846873,0.8962884725918222,0.8702460644467095,0.9008217871811764,0.946141668745935,0.9756131877397265,0.963358519769704,1.0937150960089594,1.214908884542717,1.250097926737675,1.1086129012913184,1.1040569874512438,1.031205471602552,1.0467138574379993,1.0896472462566567,1.6458565842638857,1.3248551165702884,1.3976926899606126,1.1998448070513117,1.1921234954109223,1.1169727175133748,1.2813234963822706,1.3110894667564483,1.176770500222309,1.1960958999922409,1.3618363464286056,1.29356134764697,1.2392890501342266,1.4474026093417423,1.6262948529250578,1.3687111372705343,1.4657716414870061,1.1044002890580313,1.216332930950839,1.0999920407162316,1.0301678749337124,1.0544956661634486,1.0805636949156463,1.1436966863694042,1.1706431573207325,1.0879643925642324,0.9879851345258162,1.012040290438717,0.9031084267162061,0.8970792742200314,0.9410817750482986,0.8646391233479511,0.9109692280977113,0.8875816933219384,0.9613624058602771,0.9271015122298834,0.964995353769807,0.9781612805870733,0.968867417209081,0.9580979904213683,1.035568029802935,1.044139317663878,0.975926590683536,1.0152333039753603,1.0932430369051556,1.0653911812821752,1.0368648722884082,1.1930265935181958,1.2767751750030327,1.1088751051943029,1.2097181167509345,1.4647965490407993,1.4959193915766071,1.279919578922885,1.0813358394798729,1.858133680175594,1.3392178736403308,1.2577992358362575,1.1268485036495155,1.0157243314170619,1.0682528341845627,1.234816492775689,1.0152179822427085,0.9483874669011244,0.9104306843630554,0.9279126940922143,0.7872309117412316,0.8962362244518589,0.7531574687785685,0.7377433980355713,0.773839973469984,0.8012066283839313,0.9046974688388999,0.7923480163999633,0.6756326207394315,0.6444071469803871,0.9946427916628531,0.6630938595762138,1.112506091249109,1.324987957875413,1.5048396438372122,2.21040421217643,3.8839002599010937],[0.6292095395630248,0.6465985735955573,0.8372160549016796,0.5346299377288499,0.7352067182766824,0.7272810895207843,0.6724225131215312,0.6646008500589218,0.6550570569711789,0.5812883239364258,0.5683401937397873,0.6530211340780199,0.5901249320013978,0.522074572642621,0.586745896929449,0.588695691616242,0.635041745163333,0.6354355245168071,0.677865331526404,0.7193341583038725,0.8051877084919233,0.9267995560052763,1.0586380355991483,1.112333784503398,1.0023923829616446,0.8302315827984259,0.8392728702314391,0.6917918782836219,0.6865271890264453,0.6776715853818438,0.6323365642230149,0.65953593812838,0.6496049076178976,0.6727995317192861,0.6859526329659517,0.6864007271684966,0.7291425412436392,0.8752261880570139,0.8196097367399191,0.9641351614323638,1.0059032548750035,0.966578535064818,0.9328453602870423,1.0212309570319136,1.253379636960965,1.3942745507251093,1.7576876036919429,1.1482326582253661,1.201606486520873,1.3051044406496428,1.2910200811837385,1.3770854626665816,1.1773482661565735,1.140768207990152,1.346060410613377,1.105487659811641,1.1350855039911685,0.974654464870361,1.0362976762433977,1.751291067540839,1.0543342258263155,0.9478944403298621,0.7960067631308764,0.9426064702842029,0.9447969730785348,0.838850214364954,0.8273572771577593,0.6807086530031219,0.7115485639113382,0.7660020619341051,0.8653198096081772,1.033704206383067,0.787169225245455,0.9255283776424691,0.7250885828033192,1.1159083947562054,0.7015371040659532,0.6950279886568678,0.7411377994462732,0.8232653709892608,0.823245964720885,0.8942172788738482,1.0612710728006713,1.068280928480127,1.0214826185903023,0.8469157857261009,0.8050658149418198,0.8000813881304794,0.7208447755494097,0.7345397945851574,0.6808081926848659,0.9436676230160331,0.7822433041102639,0.595037479811515,0.5879696332072442,0.616029622853827,0.6785406032940838,0.5995289465399842,0.6038630153617289,0.6846994481490675,0.6878966644316346,0.8208335497748686,0.7576609211781399,0.8296131645302443,1.1122684342101121,0.8658912407458891,0.9413820590811205,0.978829474720962,0.8624953785904396,0.8740987881091062,0.7470254073996181,0.7538269576758602,0.6976619621109736,0.7084632085670619,0.6040718267919061,0.6045503108545599,0.5962870071965019,0.6727370354202546,0.7788561842070819,0.6088849014115478,0.6161553176851858,0.6265710377085348,0.6304571228033878,0.5776892523078082,0.5851586630602424,0.6275427699081966,0.8083115238570431,0.8408650097120824,0.8129005215052748,0.8780883884665892,0.9740161692069513,1.0023169354639638,0.996595873694621,0.9388697754192962,0.9417999752295776,0.8259323486462302,0.8695427601270587,0.8162469389397262,0.6976715198084834,0.6735825443012309,0.8142608840517034,1.0813593569441644,0.8144772839377256,0.7467863015469198,0.8105423390045572,0.811725810731177,0.8310606860601343,0.7819975404224735,0.719936036742992,0.7363329637729332,0.7644468262684735,0.729486132910786,0.908298346033308,1.3272667199573842,1.00173159684965,0.6843653537480304,0.6642165137440118,0.7558617655003033,0.6904774850230109,0.7820057739177492,0.8096581580395565,0.825847022080766,0.8680888493569237,0.9229766521273117,1.0069593892835056,1.2364222668614562,1.275967883772396,1.6817574524205736,1.5478829654939075,1.2121726269641964,1.064974897185175,0.9530428628706974,0.9788088699585441,0.8692083932393808,0.8550551577961018,0.865089129832685,0.8064507243426415,0.8847106393113341,0.8870361694614877,0.9260194967669623,0.9897890124302121,0.8940423162426558,1.0161580986875893,1.1160134949501515,1.0613760507258332,1.1318085573405066,1.1331550703806137,1.197979069017908,1.5429722220625137,1.6017142464020537,1.774292945831322,1.2784791330634282,1.4326876039452012,1.3006009556036913,1.2602965204763472,1.4805741446199598,1.2231029196515668,1.1257215497404405,1.0590748559399692,1.0595138543940497,1.0037925896008275,0.9455835770640233,0.9128191784765257,0.9435291489840529,0.9430305460971127,0.9064476773294206,0.937622228276215,0.9434417473846006,0.9260920511412023,0.9565931051866696,1.0006791921878058,1.038014482621618,1.0345072575809304,1.1651927860808227,1.2731831029024474,1.2902136668771158,1.164676871903632,1.1236908912549688,1.064161583153764,1.079282408985567,1.1077042367173542,1.6381759558717623,1.33840309626252,1.448510721421065,1.2078560466352455,1.1954669350014235,1.1120675802024083,1.2540053621897476,1.3156978801457682,1.169716357277964,1.1791204097761383,1.3155662483668715,1.28283921268966,1.234919937339579,1.407182225740553,1.5874009029296052,1.374027312576705,1.4816556740868945,1.1260424430022684,1.210030364001792,1.07510604936636,1.027686618736618,1.0373636801697705,1.1043971645342814,1.1468930071404113,1.1743060494401703,1.1299049022955765,1.025197400787999,1.0347871728483036,0.9590952413991214,0.9521108238152582,1.0003627782830053,0.9267283127059274,0.9661012337840343,0.9554160574027463,1.0179977210328899,0.9893778876128997,1.025119727633849,1.0314741837346488,1.0188030401304513,0.9874582361104534,1.0513419097335137,1.0815167978499234,1.015464020227086,1.032409655860289,1.1032043304721832,1.0859970728089803,1.0621387656280938,1.1757495091784478,1.284405510451456,1.1185799420498175,1.2139735294949223,1.400747931284813,1.4529280956358785,1.2703289048220967,1.108397516203994,1.790270066142213,1.3280496445898307,1.2437508297275444,1.1343035657782612,1.0490165920824746,1.1056578764338858,1.230639372524193,1.0380577460594018,0.9934320163308655,0.9861488358642365,0.996410154619573,0.8742806831722943,0.9487653857978643,0.7834298478701561,0.7832080808351342,0.816011419527771,0.8578370667429284,0.9565305097081012,0.8038336082632211,0.7124045482964545,0.6564625458058951,0.976899345275827,0.6455925835157974,1.1034390824808367,1.492351668798887,1.6546469442687441,2.511828934252566,4.286473056267255],[0.7221315182525802,0.7244398485505427,0.8958231831854846,0.5952490423280566,0.8276508327931791,0.7500753221296559,0.7024409898172942,0.7021891165706498,0.6646689879087179,0.5790268125792354,0.5635216856693361,0.6659414591414367,0.5962332040383835,0.5229253860880052,0.5927594782837361,0.5886805615355107,0.6403400490078401,0.643733573772333,0.6975388269156447,0.7259385380658607,0.8201846281801063,0.9299666869285378,1.0731292349408408,1.1327486496140864,0.9984412229517658,0.8326131014372337,0.8277611893511826,0.7000216421667061,0.6968390883611463,0.6909922130950278,0.6402687696084537,0.668813569657671,0.658282648447803,0.6872364649750984,0.7007750752101523,0.6977636149920381,0.7522264752406752,0.9114161847725997,0.8636776488012987,1.0235528244009695,0.9990981282665903,0.9663599802035053,0.9617162482695363,1.0859509206856712,1.266921944131983,1.3756438242490605,1.7813216740567506,1.2292820534327176,1.33690857263294,1.403289197236627,1.4472649400344104,1.5013949604590728,1.2769354326934346,1.2164740454245302,1.361117606417948,1.2031913287049876,1.2176620592442866,1.0385771514563948,1.1186099819667252,1.849964059128134,1.1095907028770151,0.9802585640337013,0.8262980469926259,0.9687050389909729,0.9622194794372844,0.8492352905607982,0.8537765116103957,0.6887219295750854,0.7348956282101392,0.7741437320562481,0.8822652963595505,1.0638120215139932,0.80798176829598,0.9788007969538336,0.7166309155853251,1.1310244774475333,0.7076795980562094,0.7060741137054319,0.7655508567590135,0.8636153296279288,0.8658219563386398,0.9512778878293547,1.1085273847085195,1.157385518414271,1.0761900062695238,0.9006750735067226,0.839878602989165,0.8250887076243215,0.7414536942508311,0.7500153272814806,0.6992256618736029,0.9563194229896445,0.7994944193303184,0.607113484119941,0.5923504798594156,0.627957098644066,0.6727845314585811,0.6079751251846413,0.6250284936208225,0.7250014476205943,0.7199855807580327,0.8833443833210355,0.8129801959193265,0.9052352158417049,1.2322153831158817,0.9814302481888925,1.1023597597762336,1.1595107483623075,1.038221088073416,1.0097322894808105,0.8762440013409643,0.8388054266695216,0.7389645402318913,0.7396272183251383,0.6141038020789698,0.6073633570051503,0.5960604794509728,0.6746877671937879,0.7989941546973052,0.6179097257145493,0.6364946378022841,0.6319652959059028,0.638565289905182,0.5738509834263736,0.5885485113062442,0.6570785967522558,0.8593269350881826,0.9211277721857644,0.9487679151558793,1.0168742670586812,1.1422302029939406,1.2087566145233712,1.1742646678606588,1.1030774907653471,1.0760374226733214,0.9132660789914822,0.9707080876016938,0.8675382219280446,0.699927559269157,0.6777729588112925,0.8095197509366093,1.1093939456420887,0.8329165393523711,0.7658636775630511,0.8319538464818959,0.8386551826740265,0.8581670098152463,0.8048047681418018,0.7661364922680746,0.7668897057389041,0.8181209962325513,0.7579625207632623,0.9506169537048663,1.3806893573393173,1.0294675001737954,0.7240095289510925,0.6962735238816778,0.8120130959039261,0.7298216815937821,0.8503483903969336,0.8690445669241476,0.8678391946405954,0.9144499726994312,0.9846252413748273,1.0775626987778604,1.3182946145041246,1.3481468873526523,1.7221827806470693,1.5956802373068222,1.2482334139313782,1.1455996626797533,1.008447885510315,1.0534269780531518,0.9567020932538904,0.9318806750442084,0.9504270880601652,0.8618584648112511,0.9633257501627331,0.9549249453774213,1.0427681958204718,1.0827919536089703,1.0073335432656885,1.1564863151022216,1.2596481322809725,1.1835810232255541,1.2199653930276935,1.194027727420073,1.2629740484282708,1.5265201265934227,1.6559348002510603,1.854494454913413,1.3817214983024528,1.5663882554170843,1.445712580201792,1.4586263911736026,1.7247115423939856,1.3918752794667073,1.3454725264715253,1.3028795715463042,1.2641687943434123,1.2792118529429197,1.1975177380214568,1.134152062897579,1.201951926128824,1.2182801292228695,1.1333113196813198,1.1528065003035997,1.2005472519825793,1.1718450497615038,1.1526140019781388,1.2102412435701138,1.2592923570046204,1.2250796955755803,1.3483689931135758,1.4564245677842598,1.4427903079523368,1.4271771084934188,1.3899044278919594,1.340116663764295,1.3727609716828206,1.4494898506781828,2.0288428199754907,1.6874535655677352,1.694088445973297,1.5265031413512646,1.5555587797693853,1.435700709086092,1.6217162169982617,1.689723478256672,1.5082081627116788,1.5061816042298353,1.678232034715001,1.6355448816054157,1.558105224881881,1.713961799564983,1.9187577391815,1.6947937352516205,1.7048582799063756,1.4109995992380262,1.459140147952016,1.3784354009341209,1.3313946273957669,1.3098525571497992,1.3929239020406892,1.3746550169963807,1.416638062956738,1.4066607164567106,1.2783484667549478,1.242480892710309,1.2064729869302317,1.1866729446813709,1.1915995149316903,1.1390942177448473,1.2123965103020025,1.1749920475221247,1.1897991846839275,1.2086353873123208,1.2718779199263859,1.2883409537233752,1.3061019345383236,1.2739018973729292,1.3715600471192502,1.409997195095759,1.3073495768177248,1.3455528833779946,1.4363695899311775,1.3977258910961055,1.3736511839235048,1.5116134548877298,1.5986693051817784,1.4359727752354543,1.5307872786330319,1.7368824062877972,1.7456964176238137,1.5697096860887274,1.4039676665989989,1.9476380152371462,1.529196903214681,1.5099594299600603,1.3168272393894058,1.2592833189783248,1.2498049505372826,1.3485572829302468,1.2359294870781805,1.258011528585455,1.2580220589008997,1.2571434240284967,1.06592254036947,1.1530827405553246,0.9308289637599156,0.9470795574591271,0.9893686553396204,1.0617207289850747,1.07604666829114,0.9292506843865987,0.9048046867961408,0.8334799608600287,1.0244758771098719,0.7532938901711338,1.1744976255439654,1.798988262010672,2.0655268609980144,3.1998666680313472,5.128410740099034],[0.8583039270065739,0.849493487193359,1.0080707439622463,0.6995364649859707,0.9344584047034308,0.9014669022297112,0.8691975090775071,0.8913776709894382,0.8057092276035049,0.7678297786448994,0.7431473460703,0.8422854511061234,0.8167812118255098,0.7059849616331159,0.7721779936641912,0.8199965555913339,0.8529871508013628,0.860507812414489,0.874630961892546,0.952428077067015,1.0178861567865758,1.1387309636196603,1.2321788795014939,1.2878423439954358,1.1913446067129407,1.018205802341085,1.0379492835312571,0.9320915888215457,0.9322961680536227,0.9371506346767655,0.8449989695334853,0.9313161529305217,0.9143750174264424,0.9281720454031399,0.9482379704062418,0.930899066317889,0.9941008797706109,1.1388833964959,1.121516769337242,1.2880010363078427,1.216913453340883,1.1739928134654838,1.1844371189486576,1.2990530998233203,1.4243612201629714,1.532752536042675,1.8982222246627742,1.4162723757689621,1.5541845674140462,1.6016237907655466,1.675136147359954,1.6962402963300862,1.5147783013627503,1.4574908869480834,1.567490634518448,1.4608368659494229,1.4592367221881575,1.2684282610287598,1.3644588890089144,2.002893201597789,1.3171846541718484,1.1918918618673366,1.0458596035703618,1.1360424139111873,1.158211811704349,1.0690906004386636,1.0236673702828278,0.9000510104363492,0.8726777895475089,0.9091881219748716,0.9935705776542333,1.1404580729370433,0.9093731328613289,1.0195239507048235,0.9057404403951613,1.2451257781923302,0.9415027900004572,0.9513071086580841,1.013265194156578,1.1298759664690992,1.1464985005120079,1.2332406053918352,1.3213558833703425,1.4127211591433482,1.3345685382468104,1.1795838252567716,1.105179299424656,1.0882440062042307,0.9902755652165018,1.005491906677895,0.8932659991683966,1.067440008901175,0.9433398690320021,0.8055390696961625,0.8076374554798851,0.782161666571524,0.8528457371748858,0.8392866467662743,0.8612481786783031,0.9437632315593389,0.9769593746229704,1.1243838095453147,1.1011771209679806,1.1608990056853585,1.4546366761471516,1.220977377757591,1.3378923196783261,1.3781909226799551,1.2616124385155552,1.2317582013701782,1.106004203189202,1.0880164783142743,0.9688502594555702,0.9542151547134529,0.8713291979340723,0.8499500235377704,0.8182886412088057,0.8526659421719265,0.9407648751321016,0.7998070095223426,0.749205408794659,0.801363802172408,0.7881683812250496,0.7506017945268749,0.7746559309493347,0.8771614105963138,1.0618719345530117,1.1188951839888237,1.1699949371105014,1.2594299066071086,1.3599334061814052,1.4326123035796494,1.413382066832936,1.366267195832971,1.3229992797094758,1.156334151053969,1.1659654165967028,1.078535399982881,0.9399054790875576,0.935054467719921,1.013952685486643,1.2338951996567016,1.0153419662480931,0.9973848804620287,1.0721294878359886,1.0579386673722606,1.0633464827767265,1.0266943079368178,1.0110440501915217,0.9790241928342155,1.052977683794557,0.9506036251192818,1.1225801399898685,1.4749002005352483,1.139055971238815,0.9594127235128798,0.9460189453862421,1.046075909137091,0.9902889014346455,1.1166882717565247,1.1251488098861775,1.1287472681472124,1.1614622740969387,1.2542286417700104,1.3304882422122286,1.5725155920184388,1.5499165390104181,1.870427156774204,1.7360236132349953,1.4244018518436412,1.3595825617030242,1.238441182893588,1.3006621696856766,1.239083424336834,1.2171024981754341,1.2251401157405368,1.131820748376901,1.2431745178059939,1.2531920423167837,1.3467931168813396,1.3500575951865739,1.282413010369398,1.4236083664644585,1.511250747660678,1.4489770930808885,1.4906764981327618,1.4400452670060453,1.5160706843242953,1.7195457416751936,1.829201521331893,2.001742617078604,1.6206367484832085,1.7717727101635208,1.6585384753253096,1.6731078398973425,1.8968968531098016,1.5782648549952478,1.5312829815096736,1.4658307807287034,1.4281982732940022,1.4228996454495866,1.351398307399335,1.2965717459942967,1.3269160475826187,1.3329499937887799,1.2623876287064568,1.2556551084434415,1.2792066441870427,1.2440031198928092,1.2199510989051696,1.2362433205033831,1.2571630552224027,1.2310300084675316,1.3225241579452351,1.4167593978982373,1.4301173669745777,1.3908174370776545,1.3767380801149627,1.3575608618692656,1.379017096161131,1.4529950925950759,2.010707605675486,1.6708563913528705,1.6787932573227904,1.5773847242191703,1.6233516120266838,1.5544238460565478,1.7259670887162852,1.7380475719084623,1.6091016662045061,1.63098715480455,1.7841192534713735,1.715930266069972,1.6754727246627534,1.8547366692525304,2.0021202339960626,1.7628017730631995,1.8257984553384683,1.5411907447306932,1.6450432724448056,1.547615725008405,1.4802015468764018,1.473542736127998,1.5198278110845431,1.5629086889559924,1.6126082635656764,1.53564311871452,1.423101088236502,1.4088887640360679,1.3204279390353117,1.29127063368969,1.2772968155473965,1.2209554406801828,1.279485006877313,1.2361072187740367,1.2115470023529644,1.2324349839548296,1.3028008612475523,1.324513527383387,1.3562541341999925,1.3650472932791948,1.455858591284673,1.4471088120121516,1.371473251327444,1.4330667912599915,1.4774946745666966,1.436099695207259,1.44160042739541,1.5693924825172636,1.6141137638505736,1.4710119379229165,1.5754646509645953,1.7476769742857878,1.719981672238735,1.5452344028407587,1.405307839378141,1.9505086529153814,1.5032556756533408,1.5133445550886948,1.346182854667556,1.288064203164037,1.3032531650712076,1.4112353278886292,1.2952640717171402,1.2931682290106268,1.3134242868130435,1.3297941048523223,1.1735953902481946,1.3218451269651144,1.0971762044871676,1.1039865949833734,1.1588886098988298,1.2086202595313438,1.1705111591559658,1.0939583374726407,1.037357279278939,0.9762670882287222,1.1438589767509284,0.8776332332439511,1.2538615615567257,1.7190049165691883,2.0674065659094643,3.1178256853949975,4.9270672865556815],[0.8115883782746562,0.7951845910326947,0.936690669524162,0.6581946229118035,0.8720696225060174,0.8383666971317291,0.8196115394478896,0.8349986699069506,0.774128928210186,0.7432072825044168,0.7260215684795642,0.819865595142439,0.7858193205143345,0.6805193324489732,0.7272959893487126,0.7816708857605335,0.8136977608663738,0.8267621520595809,0.8279892184055411,0.9362516741776833,0.9946223819579927,1.1298318852661702,1.2065453409301423,1.2558126382007908,1.1842353921258022,1.0099019690232087,1.047795503484824,0.8993826068563292,0.8841989692730723,0.8935680045763289,0.8152617402830872,0.8876682132478211,0.876451331398112,0.9008286470201622,0.9108940987192802,0.9079450546652974,0.954862117455564,1.0961868483622759,1.0625650342114628,1.22316514633037,1.2370788034018392,1.1798074458367713,1.1650980361198309,1.2504673382051763,1.4460427033154741,1.609726302972212,1.9252597497480028,1.3350211171120099,1.377050183695987,1.499798027181819,1.5042241070119298,1.5356825369280722,1.4206816225518162,1.381670138317618,1.5673621423310213,1.346708092498582,1.3479200873273984,1.2232325127481614,1.282041678451054,1.8216328132575923,1.2344733963376968,1.1198669287295162,0.9901760876985263,1.1052880929332443,1.131337896972092,1.0503225765723045,0.9959162237984067,0.8814231684717233,0.8544312899992372,0.8788245746074175,1.0034617750614883,1.1192579470820865,0.899034450028933,1.0241716694784493,0.9211620091816658,1.1930701654024733,0.9218709370384923,0.9236201533905022,0.9807487437379714,1.0734089911600537,1.0863299125449748,1.1592426528510773,1.2850320007826868,1.332882689127305,1.2592808458506162,1.1079960879694997,1.060883751963713,1.0495024140140323,0.9645527603628943,0.9653014994589423,0.8796545798769753,1.0611436883093224,0.923535418190879,0.7703886357854663,0.7681832905820162,0.7455458959343232,0.8193716378285028,0.8131110277628566,0.8339610817048552,0.8928184999179641,0.9381982923232096,1.0378342434381962,1.0144681905155368,1.0619725591939184,1.3611192574770368,1.106029682485926,1.1943269347002745,1.227055069058094,1.0959932727147355,1.0872666347357778,0.9798950251379994,0.9894108541384431,0.8984656454950507,0.9040310045955687,0.8155283455593287,0.804014706936598,0.8046662865033664,0.8319568813378291,0.9041727006263285,0.7704081971719634,0.7321049011812508,0.7756218348045194,0.7703516046296661,0.726113032893807,0.7417305014934295,0.8200008291173124,0.9799306197152846,1.0372066560980615,1.0551596692611946,1.1322729460458336,1.2159871266146267,1.2545432584372334,1.252107193132772,1.2073203560210057,1.1997899001097927,1.063154292158789,1.085247382055499,1.0345674142725503,0.8786829550875083,0.8951542921202187,0.9970946489949689,1.2038647896454653,0.9804931742587009,0.955559100125501,1.0450627597229882,1.0198258716775366,1.029412814908323,0.9824652316416153,0.9485582723872708,0.9216149235510137,0.9695416901925871,0.8902903455199129,1.0455736651336587,1.4102678546551812,1.078958254619532,0.8906584999116025,0.8907471712767545,0.9760631233065742,0.9318722043465291,1.023327551699668,1.0461784769302755,1.0616560278263634,1.0879120008837613,1.157685656837803,1.27064117879316,1.4572123055975763,1.5027148982979786,1.859490704570685,1.7288465981880874,1.4178748002889927,1.2958934899187806,1.173438515985505,1.2189749137028352,1.1313412808389174,1.1184945136015267,1.1236557469023716,1.0497923282238912,1.1499328899983357,1.1371205751295321,1.214876370128445,1.220380135219128,1.1544026649583714,1.272801095158348,1.362917220887947,1.3276675545490177,1.3911685878176347,1.3815770632375708,1.4304886787055962,1.7047107968867479,1.7891509129857333,1.9186083283096287,1.5086187212505981,1.6369504103307813,1.5162948378112795,1.5065188249881885,1.7148828377499234,1.412275594738313,1.3165635060974135,1.2427040655868449,1.2419370216939467,1.1929539894830865,1.1455563772682311,1.115325104754081,1.1175536591687392,1.1162867387678028,1.074868860495902,1.082319002508585,1.0827050055533511,1.059259740366389,1.0794727964706452,1.09564811020502,1.116246529780035,1.1029383444046523,1.2036105728920978,1.306098126204433,1.3400124633315138,1.2224560348530473,1.2006514454040567,1.1629866039653431,1.171546261173112,1.19888161643944,1.7577358922339161,1.4075260802726297,1.5200590810442665,1.3370032881549494,1.3447649997354651,1.2881943567261254,1.4218691165786441,1.4380856901243777,1.3311606020564706,1.3477599873353099,1.4576508164187005,1.4124933832503086,1.3951222358252018,1.5617288495740898,1.7014282205918763,1.489690847876005,1.6161157753187612,1.2915267496854097,1.3990636432919343,1.2759417430486628,1.2267343278010154,1.2328894261611336,1.29397424192807,1.3480234605500405,1.3975758585655842,1.3237281751826244,1.2200737660924217,1.231949356945445,1.1237503674472906,1.0981599613893598,1.1174995219447357,1.0512121244705754,1.0843150942846314,1.0578303156107915,1.0874117621530195,1.067189418536053,1.122195907079235,1.1379262913298165,1.1466677576266957,1.1508657689141055,1.2087100957653858,1.2098099240182105,1.1530781082500186,1.1837063079157644,1.2292843664474997,1.2088114623189985,1.2004667513354874,1.293363371937458,1.3678403949940652,1.2298952025538736,1.3254518963768263,1.4993905988852068,1.5248398423696636,1.3481594982588219,1.2014521766896986,1.9016862280194728,1.3891764753391744,1.334562253446859,1.2347163841486262,1.1437985234398105,1.205852219489214,1.3493489792795301,1.1694601514776155,1.097569546516154,1.1070599172799882,1.119953160081317,1.0287104044325133,1.1552122564301626,0.9893169188005013,0.9670508432786971,1.0157876961604548,1.0495405855147428,1.0574526638908364,0.9814244034133973,0.8947114370371887,0.8455431480744053,1.0868988900594103,0.7925733058456783,1.1994615646109967,1.5308374301829386,1.8437978888054547,2.8131388063059335,4.533253552506435],[0.7419365920774383,0.7295110129119995,0.9021418587375226,0.6396935674021752,0.9637670651040697,0.8161322463340224,0.806255550096779,0.8310763094521378,0.7254042706343855,0.6707524669250078,0.6482762621400894,0.7674236163016204,0.7285959253973763,0.6028406286416982,0.6623123255227806,0.708788029517863,0.7334230052336714,0.7451186953877056,0.7443302024504952,0.8659880884716431,0.9159272356550873,1.0685292884615953,1.1282036359466743,1.1778516178572216,1.1161506570022461,0.9492836089274713,1.0125785569022208,0.8384053108936711,0.8331950188945682,0.8505435236666289,0.7539879860327381,0.8485144036190791,0.8198043128174055,0.8535931227989587,0.8792698499282451,0.872078566152548,0.9459017597569745,1.066878825625795,1.0317523973065006,1.2174363031490456,1.2463762011765633,1.1564321374262079,1.1369829213568101,1.2036112489026296,1.4154695580832959,1.6019724450047625,1.8911227616432296,1.287148961525168,1.3161448043831374,1.488293545049125,1.4434857319671375,1.502551026333917,1.411168916087653,1.3585535530629667,1.6215858131651968,1.3064882023518036,1.284431749570337,1.1806954929613112,1.2182474656772584,1.746524279563699,1.1553581866728906,1.0423709969879307,0.9256692955676807,1.025384277320972,1.0649079844090836,0.9839481938917573,0.9168791305093092,0.8011138249149353,0.769812836321724,0.799453790612447,0.9252026032673488,1.0602502244972665,0.8280589510519671,0.9704331189792059,0.841800666457006,1.144279944368575,0.8513228320401233,0.8624479095546421,0.925068997941159,1.0250665119406637,1.0644957140941946,1.1527872756081057,1.3392756240018404,1.337047270342491,1.2652877930206932,1.103732457318903,1.0403581132786381,1.0244896588235628,0.913692524370057,0.9097961486546741,0.8220517718771293,1.028733170540987,0.8593314064164355,0.7014808930353926,0.6889691891173538,0.674235047165182,0.7256429493135098,0.7565289519442175,0.7994858901354419,0.8883157974982404,0.9274323330707676,1.0606288635435566,1.0200605611168594,1.1127023496643278,1.4256003563800104,1.1926685813153106,1.2977729607948778,1.3482804009437586,1.2268801303929273,1.1840109642148935,1.0594903580842312,1.029391769614383,0.9031000213468453,0.9082123433297025,0.7359736352062094,0.7193837285986915,0.7448747725476546,0.7774498156741135,0.8322679460173225,0.6976118476320491,0.6617350141584024,0.6752886067528664,0.6804826812672071,0.6760811972316972,0.6991607270396136,0.8229701781571175,0.9942453328716041,1.1072544748791864,1.164279340787909,1.2277393377029773,1.3445822332037514,1.398460662559598,1.3675043151024968,1.3085331695637334,1.2815056418505026,1.1264373650201738,1.1942881483787566,1.0866035939069452,0.8483821443256434,0.8827355262396422,0.9461920574156454,1.1554237624618244,0.9214234001421033,0.9144684287406653,1.0256939319247742,1.000286195407105,1.0065617736563726,0.9718819501374237,0.9501937937787506,0.907358379580142,0.9832768272729698,0.8892454967098445,1.0719865532860582,1.4398985432833995,1.1276553816484807,0.9003227577991276,0.8800508155272415,1.0031590857116857,0.9366552004246234,1.0482353680015999,1.061461240759521,1.0550194689607795,1.0658346788152147,1.1275565328696697,1.2842925923938857,1.398873692598202,1.5508732520394397,1.9055229662755726,1.8065382965650463,1.4891425878174804,1.3653321748427227,1.1995276170871563,1.2535054905260183,1.145152809695713,1.127252587876985,1.1509968826383854,1.0497709336515704,1.1817802903247152,1.144943269038325,1.2200247232262649,1.228492718817098,1.2103529987327633,1.3464234908040038,1.4382323917954618,1.3879699851903256,1.414628195071136,1.3942574928696385,1.4354851185129203,1.7206330164353436,1.8236972745569886,1.9404775352730763,1.5449426278272176,1.6876794608308376,1.5911253247692356,1.6256096894720298,1.8564749566322571,1.5328942552489264,1.4597446521801551,1.4242689258080257,1.3945465127930157,1.3657150372439968,1.3090935124621832,1.27143031945769,1.2982571239493017,1.287347053570038,1.2152501453796216,1.2258275805286376,1.2350996160402128,1.2043541992982676,1.1867583127457453,1.2134686239514767,1.2388146547846772,1.2234307998738962,1.3284130398614717,1.4117246426566348,1.410986462849711,1.3592333318356242,1.3177182476449403,1.296178574350383,1.3090814061453975,1.363527341524008,1.9200484223180307,1.5738824754833283,1.6628022221460397,1.5021759331560807,1.5411044231900146,1.4551213037874862,1.6250604645330913,1.6662092048815917,1.5222240544207595,1.5452722522875457,1.6484515202211636,1.6204087430258198,1.5975503015987453,1.7223314035784691,1.8782006913899467,1.718968530947532,1.8075270359068687,1.4868719827835053,1.5258744892481055,1.441723917491354,1.3911889335190326,1.3926780205329696,1.4609328481172315,1.4505858365414577,1.4915601533605813,1.4643059685332562,1.3531170288820553,1.3386749212112798,1.279093029565241,1.2350511780833104,1.2273046748599092,1.1704527784333283,1.2275996401160405,1.1772198307057908,1.180469546712691,1.1978801804569985,1.2524695150653684,1.2766311558862884,1.312229041521173,1.3014168982794705,1.3741540628908981,1.3763343347704509,1.3150432404212427,1.353751419539837,1.4016538154229254,1.3699609612679045,1.395641383986404,1.4626550459048064,1.5334033388333241,1.4115779053819415,1.5290187470199634,1.6180939158566892,1.6166746705347779,1.5072748943588232,1.3845720016639638,1.881867230210242,1.4906725082300478,1.4258477322775607,1.2871309330171894,1.261191903085877,1.2679042687620297,1.3574998785921513,1.2789928194800855,1.3224338317981859,1.3741903528387829,1.3621556078806956,1.2341375266077599,1.3139876957851622,1.1383522944777484,1.0891984514563564,1.140210857393019,1.1831364581407309,1.1650589616384937,1.0530091198479805,0.985627396977273,0.9089920014076803,1.0872375761983955,0.7918372285757155,1.1617279573364425,1.809941612167245,2.1781041963447865,3.414423127510471,5.334633652026768],[0.9794566983887849,0.9231056438635106,1.001564726725717,0.730278303346304,0.969649447250334,0.8681232689653873,0.8566124470509938,0.8943962427982654,0.7878408975592602,0.749473760146985,0.7296389632523158,0.8272682424949813,0.8032190622636931,0.6773187150376834,0.7276760196037487,0.7903987434773335,0.8216927010718851,0.8285967954478555,0.8286317097264415,0.9483302300018874,0.9990435843261626,1.154418496166051,1.2130575985887813,1.2613752404394367,1.2119925494089723,1.0182692243588065,1.0803939896175119,0.9090367467360048,0.9006027957890573,0.9185756482396394,0.812215684760774,0.9167502245697801,0.8915684956858764,0.9196677821988293,0.9418661867313814,0.9324863269094825,0.9990839895057019,1.1244946964718716,1.1062503516894,1.3258588350546177,1.3091346503926033,1.2301329107992025,1.2274570569119048,1.3103478799026862,1.5116608404074288,1.6748849257439953,2.0121670686546844,1.4280421212723908,1.4477612991425768,1.6344103402578425,1.6124251596617374,1.632043265380051,1.5502985404661578,1.4917210938457774,1.6820996932320056,1.4496294074394915,1.4185078351234028,1.295421816101082,1.3459013489109226,1.8549475314518502,1.2905573133625656,1.1589986183372938,1.0113230595018001,1.1296825625812073,1.1525328035249607,1.0807079495137482,0.9967278412216982,0.8803559168923082,0.8313172776026714,0.8540856511656294,0.9966399945045524,1.11412161051969,0.8809015432185439,0.9963432861760277,0.9062381498903553,1.2016209084814233,0.9294180270620758,0.9333586051791761,1.004557638004801,1.1210355545971948,1.15972340454127,1.2537751731475415,1.374466862704383,1.457353529867385,1.3674827854667249,1.1887713511872955,1.1268452422582587,1.1161655400375938,0.9936827603957568,0.9882575067294636,0.87496633603786,1.0512463206231273,0.9089687887631751,0.7633647833200365,0.7567323385178162,0.7228270893425192,0.8155996188770761,0.8291082718748618,0.8594070971345578,0.9474095782846613,0.9856076109684497,1.120665524225745,1.1021128446059902,1.191512679134687,1.5044714652038491,1.2772457766504468,1.4326616761368123,1.4593846846387026,1.3392701084230534,1.282789163157015,1.146642028491079,1.0982282983813558,0.9579707657690951,0.9562260772627641,0.8367968341010268,0.8301608763058459,0.8155324094918331,0.8348655883667827,0.9036448313987737,0.7735727221984985,0.7392542734615964,0.7925610676198629,0.7867267793421651,0.7425468352100553,0.7525339612203131,0.8794877482338751,1.0349598036468868,1.145701584767796,1.2391562056923395,1.3278347313412733,1.4569423861380262,1.5434053202233156,1.5102247219131497,1.4400630982461746,1.3794478648002273,1.185978138996474,1.2184766897374095,1.1117106297801944,0.9284399944664948,0.9508508284517783,1.0116049558178961,1.233598603535223,1.0087879991372721,0.993129357369311,1.0978409629422525,1.0476508337627626,1.0516334340020292,1.0097508195006561,1.0048914557135595,0.9583629573548226,1.040396102578509,0.948270854161593,1.1170703373262043,1.5252942217148135,1.148237148982326,0.9708837941027695,0.944245350008995,1.0637887249495481,0.9973984196279911,1.1263051669512756,1.1312048919986908,1.125077683830585,1.1408591081111146,1.2273202218554107,1.3687108556797014,1.5137084450635832,1.626454359799562,1.9595715460999719,1.8366836578938444,1.4998405221945406,1.4117265244570976,1.2538164006249912,1.3275548698763395,1.2468991257670612,1.2251791273557198,1.2415315398120608,1.1279732693149214,1.2537474483773845,1.2589512230063633,1.3659938837598296,1.3441910965028143,1.3113544182713617,1.4788454257296562,1.566585374802192,1.5087931786032642,1.5551317480032807,1.5060677840705103,1.5828161176355946,1.8366783773902837,1.9435034937629925,2.079052390164819,1.6974301718307454,1.8396980038290642,1.72776115395735,1.7754803521668316,2.033592648131013,1.6667654461126125,1.6158672113089456,1.5756974188758333,1.5371496915364575,1.5450225049509458,1.4756883838977253,1.41049911873083,1.4556730314010842,1.4801753884221949,1.374047639370103,1.3647111399429825,1.4128734481615144,1.3848957330443816,1.32707384003263,1.3561576095345866,1.3964130597559716,1.355084483906346,1.447006701414672,1.5486756005252995,1.5429893947290676,1.5508680165682587,1.5269767595469619,1.5065988629010147,1.5337224669360516,1.6440337085749501,2.3432949331766797,1.9174954132972617,1.8995015841723788,1.77089374675801,1.8300658788098296,1.7316964425001709,1.9431254145568673,1.9599002921088606,1.7871509888386583,1.8172893005523894,1.9693399348881968,1.9237435580729425,1.853794322471404,1.9846093055575582,2.1521533073059147,1.9682828616932004,1.9793886668880032,1.6702868767103272,1.7300577665023036,1.6691161092383535,1.6314487776778344,1.6091825177588772,1.7027218062585152,1.6657112437378294,1.721325906610822,1.6710926922275107,1.5507030622815114,1.5171720602043932,1.453125059214181,1.4141210640788469,1.3781185127744398,1.3276910660061252,1.4017832981341618,1.3453291532830705,1.3064993455190244,1.373726294904201,1.4636571516380106,1.4833153899730773,1.5378540109841843,1.5289596442066968,1.6305142540985533,1.6364013627113907,1.5394683330470493,1.5934441257242047,1.6692167806629474,1.6185722293682383,1.6122358306538689,1.7325429574550655,1.8274273064354358,1.6505039911882098,1.7797245100324144,1.954929878318768,1.8923495942493331,1.7488569831056016,1.585278628951784,2.0477326463121654,1.6352722955238115,1.653530887701636,1.4247608648213475,1.3934690700312007,1.3744021787823908,1.4677688074311457,1.362919889347951,1.4085575384023017,1.4596963998703454,1.4846429736518558,1.2920310248078055,1.4332120741777987,1.173887162840526,1.1825459268710534,1.2494345860823122,1.3190790783389617,1.2441114388605827,1.1557966332824454,1.1206428180874355,1.0660582702143309,1.1579009215486904,0.9022135720439719,1.2657977221929215,1.9678918991729264,2.4951960671575257,3.823259282165608,5.816558200674522],[1.054426778991124,1.0174219958421675,1.1174376904466596,0.837130211850684,1.015415165974982,0.9014122891995011,0.8971477444984945,0.9444150389110292,0.8394864061261753,0.8578435149222474,0.8532913166791165,0.9414586770027322,0.953201810670105,0.8461894113803637,0.9049768916022671,0.9873403233808072,0.9870415494786985,1.0212018082079364,1.047574935736495,1.170190445475304,1.2204366625323906,1.3620430542759496,1.4069188262094516,1.4757828994443347,1.410210766100528,1.247198099667636,1.2963251332337455,1.1047854030539974,1.089750247498058,1.0653488130389035,1.0046138026030702,1.0747896377017743,1.09313302752538,1.0790336183206535,1.0974589052089758,1.11094351936191,1.1462734324275843,1.2708526311987667,1.2618885058954195,1.4759648499672553,1.4921706895379647,1.4104337543848668,1.4252590971871708,1.5091807843466258,1.7212355259586347,1.891385415066177,2.228909286377568,1.644815670364829,1.6242688429932959,1.8103386703212445,1.798900151509905,1.8086788124559185,1.7310109937962146,1.6518340835914975,1.798224171859534,1.6482992617579357,1.6163331705613615,1.4732387777331382,1.5388606575572215,1.998945480111423,1.508062025312551,1.3914642547081697,1.2471961149855795,1.3683552337656926,1.41266352987699,1.2831106119088005,1.1956437056109008,1.109254593360589,1.0344051380461756,1.0130950745044849,1.0857875294018433,1.1909343608094263,1.0240627660242025,1.1538974910631585,1.113156137131212,1.3695212270945147,1.147767286246234,1.1381815031386289,1.200978851411785,1.2788499867638832,1.3278190739652547,1.3990502171880346,1.4635657757298457,1.5638979318954995,1.4589220499653273,1.323336393760551,1.2996557609002066,1.2674145829440566,1.1726622115139558,1.1706008486703254,1.0643444507568376,1.2224413680289512,1.1008268356641624,0.9618293194595215,0.9559544827681155,0.9217500588479421,0.9663446298795145,0.9622552455061928,0.9785341824665779,1.0467036826866143,1.1026176369538465,1.1752105440959564,1.2006401441659609,1.241024644282495,1.465567645958296,1.300336654420547,1.4320499464217404,1.4258738639947748,1.321047769677427,1.289195813380572,1.1485897079713758,1.1554627632437087,1.015504846044446,1.0469916929610474,1.0350394874726667,1.0376881182583981,1.035565990521962,1.0378094953984316,1.0821095588462462,0.9805539050392337,0.9191784544932868,0.9531711813653835,0.9412785557558513,0.8724688838785625,0.871056570226217,0.9943513643932931,1.0502116523319116,1.1710885707203114,1.2604698755223194,1.3543978643414791,1.4634129628742198,1.5428348072333193,1.5456224527660045,1.491400530265888,1.4357601239696705,1.2587531503152094,1.2718132047907371,1.1916501790699388,1.1431360521362788,1.1331762830467451,1.184868034210423,1.4119101663777007,1.1849123920812148,1.1592423602139958,1.2794796051405806,1.1661768244140847,1.1407295304736138,1.101575102621121,1.0964193208295283,1.0374965558911524,1.0928737466811858,0.988855597897874,1.1371901033204148,1.4378033479170729,1.084053580955142,1.0312386297199507,1.0248375342985596,1.119852225714356,1.0919578049339316,1.189396799581796,1.220972162029105,1.2486571564139375,1.2626240896241916,1.361910845387596,1.532104975795081,1.7077212160463122,1.6590852834936387,1.9523838578287827,1.8171435254191872,1.5290899336982389,1.4636753059939465,1.340137184426895,1.4129397100857284,1.360698977533274,1.3351850221082988,1.3165610762618192,1.23272602303667,1.3414854057135628,1.384566608523197,1.4667951044604497,1.51898531941976,1.3767959070027032,1.532065530958031,1.6295457609596393,1.5798123523357104,1.6340482886037473,1.623773914944177,1.7019726177859158,1.956155097527654,2.001947621653057,2.0990012788029735,1.7579845756365997,1.8641385787576816,1.7315678720535221,1.7625647985239288,1.9970864615473978,1.7378194360505024,1.6181345163917555,1.5256436583075736,1.50240485761734,1.464669235416073,1.4096625283947324,1.3581505496419102,1.3670396060533656,1.383723671528061,1.2930359415037307,1.276935146472588,1.2947317793683122,1.2763488032100128,1.2344883577879573,1.2552852589246044,1.282442684031793,1.2479978179013753,1.3242840903847835,1.412942978180755,1.4146261344729971,1.430371023624094,1.4209999585950275,1.3800703730898656,1.4275221319844587,1.521237737813195,2.123177116113762,1.7277896379401314,1.701067107103816,1.6137236223767772,1.6588514905699008,1.607700387539371,1.760927768199117,1.7702317831438807,1.6338464501086964,1.6922311463264825,1.8245724453820766,1.7546930365068045,1.7266429806081163,1.8754411818889676,2.0007835096533624,1.805079387631468,1.8715080129743977,1.5651974680672072,1.7060982676018752,1.5989173314892526,1.5421844965149685,1.5534191076733648,1.5854209710862734,1.599993672624781,1.652880007552287,1.5463427271914003,1.4454511068549432,1.4208288685176844,1.3597864691472916,1.3337192391723713,1.2881120483108794,1.23891620306176,1.3047981787229734,1.2695049351656058,1.2543578827479047,1.2857852286573024,1.3605558677695768,1.3663076631822701,1.406577081887165,1.4165322385682284,1.498190307197292,1.4842870558423054,1.4157409858153003,1.4648029877770594,1.5107669673152626,1.4643047727508212,1.4646538792026358,1.5723488310932612,1.6351610534198078,1.4924427525980366,1.6148559613774376,1.8035452320956296,1.7489422595834156,1.5697576769180563,1.4461258250329365,1.9797290492282238,1.5280881570868396,1.5935664341623685,1.3494802273662987,1.2875099545692208,1.2724720448219293,1.3550023152840085,1.2590934068118054,1.2696478244896552,1.3268107827495967,1.3544589039384685,1.2035128434061408,1.3933188007845427,1.1515647383611243,1.1434095105569857,1.2207208605046058,1.266318523243323,1.196190414123462,1.125917215697941,1.1385907396661907,1.1151084140970766,1.1146282377030023,0.9988760414730495,1.415695062769754,1.8564540989178777,2.4075629525053914,3.675676290364554,5.520754619334513],[1.1456658138303322,1.079683932534995,1.1224980110094,0.7908091461447985,0.9413578210076053,0.8388700072124836,0.834217639108518,0.8774961798599307,0.7731896926546273,0.7872851682328352,0.7749773339867743,0.8579812367650121,0.8833633070077541,0.7655378815213908,0.8160469146924836,0.9021857349899076,0.9309740078559828,0.9781991062996281,0.9833897820829475,1.1581318051272511,1.2097934895038538,1.3830234979798466,1.4169038418036832,1.4651999138961918,1.4058730156516046,1.2282840114322995,1.2809240347865976,1.0941716903360055,1.0648636058989414,1.0603008973673282,0.9396163487725181,1.0506595187022671,1.0459298405227742,1.0797829190196222,1.1067367227050509,1.1158770740867374,1.170464281588363,1.313007288749445,1.3187769307339088,1.5343363949695836,1.517459795423802,1.4307551854529377,1.4571662887795291,1.568929600470574,1.6862544954767114,1.8727342506835867,2.076600802818201,1.6205742296512067,1.6884251303158948,1.829187427617949,1.8541281865274482,1.8382348025176733,1.7813248402796549,1.721677840225375,1.9211399790916681,1.690402130804601,1.636634985177926,1.531231420485288,1.602266514654023,1.99104223173719,1.4696134336275117,1.346525800754574,1.2240406042603595,1.3126986239029417,1.376029308998842,1.3044962599000403,1.1931965237915965,1.0729951293047904,1.0068201748840182,0.9648352665273884,1.1229590038171273,1.2028018979996025,0.9995224873706887,1.1684882253969986,1.093328562460371,1.2654443028294393,1.1508167338589508,1.1356351810582472,1.2132938940436582,1.3383491839302055,1.3661625106713748,1.4544329535380558,1.561074994028248,1.6366664482081648,1.545991701158225,1.3820719466040792,1.337846892051586,1.3168634898996818,1.1970301238202203,1.1894152618152536,1.0438291178282086,1.1277498824875463,1.0116689138428767,0.8979925197676848,0.8758379136991608,0.8288479528006503,0.8956596736130333,0.9214480209543677,0.9306019176761835,1.002932461194612,1.0784310206542644,1.177476921558024,1.2011857604252405,1.2365701133110194,1.5985551472608188,1.3172272098988875,1.4390053373534604,1.461281665094295,1.3039704998276425,1.2559826232838989,1.114100858509334,1.1402191232011338,0.9764195996176264,1.0188666684255456,0.9255158676510747,0.9146213050597152,0.9692770970782536,0.976554464519617,1.0175725357605476,0.917852593038934,0.8247497710876573,0.8448907982571826,0.8417752356043401,0.8059082723832486,0.7962861421818049,0.9237904402632661,1.0060693743624003,1.165688924132923,1.2503138349192167,1.3880233550031336,1.4974674696568127,1.5707246526670455,1.623727280928297,1.5459323686345696,1.5245508216523016,1.30783199638389,1.3198924493522255,1.229813283264954,0.997376351862627,1.0979481483223326,1.1510851662124082,1.3760803105152966,1.1769020962360863,1.162022259896505,1.298786812470053,1.2194772734831087,1.194361000066031,1.1252856603499455,1.0851248113660874,0.9969286666487128,1.0459815048027519,0.9348778654629215,1.0850243999319247,1.410496840371691,1.0655765567466262,0.9924585602719789,0.9950375153093937,1.0970674607595425,1.0868281815718972,1.2032775802203886,1.2554803907305943,1.2815047525044676,1.3089996435298834,1.414375575629965,1.6282439970977995,1.6823787357282423,1.8651382998008197,2.2020813616580623,2.075871403227485,1.7178402113691504,1.5985684870952717,1.4376058169394734,1.5133522970335493,1.4187831362758385,1.3890047136584942,1.373187725640347,1.2575090284926926,1.3956902433766711,1.4229877911188906,1.5175059140058167,1.5258733489600047,1.4381769511640925,1.633797014779547,1.7505593365095524,1.7009145747184502,1.73903863223312,1.6951855409386893,1.7720013664604526,1.9536161534161174,2.1619769292491826,2.285735553698196,1.9187884001229094,2.0412064856359287,1.9178574286926546,1.918274431352352,2.0898492052711206,1.6873004113456405,1.5957757677339963,1.4899275484357772,1.4527143409755634,1.3762001801092736,1.3174009016399026,1.282311309047967,1.2634391179268494,1.2578542820345826,1.179233171683215,1.1634263892311338,1.1718464459426412,1.1536290851415956,1.1237974145995409,1.1540839410414157,1.1841117304793465,1.1492635456819609,1.223497088089799,1.3433370051251137,1.3447147743157255,1.3411867951590115,1.3510969600434097,1.285860817118078,1.3244494806305542,1.4137839801719985,1.8863601856848584,1.5761659060410047,1.5618970433580082,1.4520374426812854,1.4965016594637317,1.460480988292711,1.628166345478158,1.6059577893514032,1.5004680093764087,1.5655990374620645,1.6775426398107995,1.6155244808431588,1.6312097130594903,1.8173823064352415,1.9335383649311426,1.7305724224905799,1.8882232177176037,1.5100313628217898,1.6304358604639069,1.5218019329519574,1.426738079861809,1.4441477576878408,1.4726896470687323,1.5041966466407457,1.561673020104858,1.4282367168191379,1.3310900862778225,1.3298343954988585,1.2390246490453438,1.2062283712743764,1.1642568108745364,1.1170320395696711,1.175594526738283,1.143065319335375,1.160454602944053,1.1864764068873062,1.2661380174762846,1.249030518576296,1.263373462491878,1.2754750497907321,1.3496550589364662,1.3302416164421904,1.2761282236068714,1.3198262434279795,1.354964298585083,1.3204119808171513,1.3260898331510071,1.4038818617216506,1.474473911364746,1.3423515457403468,1.4837287312761402,1.6440401421360804,1.6301359659196772,1.472951220908703,1.339733218837554,2.0890562557842616,1.558330818722417,1.5671381247610923,1.3253928313847023,1.1945268599327687,1.1745773291945591,1.266291439837356,1.1542734785199695,1.1628316890260013,1.2362454937280265,1.2527342307362919,1.144423815883029,1.3513464284717307,1.1233051637998006,1.055772760573254,1.136818340030676,1.169620742656826,1.112485847627612,1.0347181772411835,1.0561443910075545,1.051484738466646,1.0303708603686585,0.9607091629388388,1.4759930765113076,1.8385821451183357,2.3613875367852963,3.5782856375915504,5.405802596011937],[1.179237551822193,1.1084321134616983,1.17380924496159,0.8322054802192662,1.0241787603005683,0.9270736909799715,0.9893649324926606,1.0437464174041347,0.9561279899511667,1.0253928950986602,1.0095481093507495,1.0772741514274335,1.1556023529700041,1.0895289378673358,1.1450531883972086,1.2136961552915122,1.3148451377939079,1.4067610780749433,1.482481413558805,1.6136839058747163,1.6966262902394238,1.819339799311022,1.8952334873056338,1.9501405235137383,1.8650920935124338,1.723726444896734,1.7125980144407362,1.5546272731431277,1.4837555675498042,1.4354415831986342,1.3026351527072562,1.3647357044168702,1.3340408888145168,1.4425893160518137,1.4841454051840755,1.5209444531895775,1.5428235425788293,1.7377547100809554,1.7637111273212562,1.9374196448174286,1.9260381600594556,1.8522295150283095,1.8828361197076173,2.0258905484048553,2.0632380051376447,2.2050622595230616,2.336490284873822,2.0230477694543354,2.1190486206199552,2.197873032669743,2.2473413234474533,2.213706135316055,2.1547386342059016,2.0999982399671357,2.2669155943251242,2.080688762374657,2.0421984121035557,1.9490097166671867,2.00905456769481,2.3383349547117342,1.8821045881699376,1.7796243784217665,1.6695753987741067,1.725844804468666,1.8168198118070567,1.7512731940809105,1.674372998041642,1.5220704063960948,1.498060121001524,1.4230568129632477,1.571452875698818,1.6061360287104276,1.4535866219103888,1.5735352256089012,1.5189330685771572,1.5953204273022588,1.5841041808859446,1.5561934414229317,1.6346398472101549,1.7651424835733527,1.7555399276783674,1.8449846767540867,1.9250820102981199,1.994051773366349,1.934829541716531,1.773959708024494,1.739608152690536,1.7092550545476561,1.6170118291894122,1.577003654182012,1.4508287355305922,1.4477160921277643,1.3507392446747855,1.230922815188694,1.1877374091428572,1.1181292814933816,1.1318021213443363,1.2048095800233405,1.1911646507345794,1.1986980743878761,1.3425728259615566,1.4011081915173076,1.4909267646365956,1.5243811837445749,1.9960614672472563,1.6173550902473666,1.743807542438928,1.824205370789836,1.6120771629475532,1.5180223434409132,1.3449928893665615,1.4133602986303797,1.2051305442760956,1.3243159263965232,1.1899992580406118,1.263212453701638,1.3927891412046398,1.4835480503025098,1.5359695175911814,1.375812894884065,1.3030527160720677,1.2141140538569635,1.2553729695734013,1.192131334402015,1.069138392620835,1.1870341688406751,1.200158479160293,1.4435323832406817,1.5218745498688695,1.714035328408723,1.8232731806406772,1.91541824063471,2.0093016619450905,1.9175735677802364,1.9259694931949751,1.7088141038382292,1.7066851074601779,1.6643183922363387,1.401312720134653,1.5442685102075142,1.6902433444277503,1.8245681911494211,1.6862865609444515,1.643473898300228,1.7453729754964908,1.6717030022683301,1.6369838831075696,1.4918385796105178,1.3982135950407868,1.2392367281105077,1.2582275479536873,1.1275539149635905,1.2688732678661812,1.4791064027628869,1.1802118565292716,1.1850475597335268,1.2138796336935807,1.328800299476613,1.3650878815052905,1.504904056293474,1.624647032564936,1.678770768869395,1.7628523904249924,1.851915675774763,2.1031891390070805,2.1155533723787525,2.3528756690884567,2.692612483589918,2.5916035043696404,2.250059482174524,2.0838998140795004,1.9103230684625663,1.9536879923575265,1.8227030857435707,1.7728033688212563,1.7366384996946005,1.5975877676537116,1.756583454190403,1.7877626053641977,1.8867878701669116,1.893963083434638,1.8012858537891372,2.014133381880333,2.124981807449982,2.105171831115542,2.135925580657978,2.096525663968566,2.161678261109871,2.285598658703264,2.55357321741303,2.677043412256307,2.3431274089226926,2.4655536796243385,2.3521743614927093,2.32134497185194,2.428143377142516,1.966343233308331,1.921190660315455,1.8072584750899974,1.7216230821568197,1.7298868186541492,1.61916585178788,1.525940626195575,1.5765015184836506,1.6150236272072898,1.4275079346797004,1.373851370691411,1.5302907393633538,1.4770020227335063,1.3198093137258295,1.4107379569604184,1.500126442358825,1.3401221513578299,1.3363057241420604,1.5808992453668105,1.664447095948436,1.6684836066890416,1.8514648805360905,1.77899005667594,1.819180647373477,1.910464327628163,2.342054645620194,2.031685102321824,2.219640701670476,2.015000319959206,2.0183343566044503,1.9315371099075855,2.0284935373105006,2.0614305100964563,1.9526799324147688,1.9573103521582604,2.07884425650973,2.0383555803158084,2.0118514719137957,2.1730728504472356,2.2742283591255696,2.1123490947656007,2.2127122038535125,1.8900127579293293,1.919695092435122,1.895868071065856,1.8286755371543904,1.800073978564727,1.8591057497842558,1.8354210194188252,1.867222021258606,1.8317240298564341,1.7035545813781563,1.652166338826889,1.5688177702983943,1.523880442104036,1.416608053726435,1.3798022212309788,1.5320824837122282,1.4371947413924568,1.3595117490443336,1.4755877164981366,1.6254337599909543,1.6703634133059673,1.7160614186510847,1.7054773801941001,1.834165794841513,1.8291561499718152,1.7045522867778018,1.7905351537669048,1.9038831163923104,1.8629477525182254,1.8152635469779446,1.9732048066886525,2.0687858808366526,1.9184997250454492,1.9729208291185019,2.198918202945261,2.3037206796426153,2.172670310483928,1.9455576791519391,2.8316494927464606,2.0507390270991133,2.0044669649769737,1.6789697553343697,1.543105081426204,1.326357687651895,1.4060367792708883,1.3350494011813603,1.4703631012342713,1.4550852127231115,1.5643536748364566,1.331399810694009,1.5898091839780528,1.3487734460719452,1.1826415417979845,1.3325091252807786,1.3809845861217303,1.2702354699008949,1.1648070367374224,1.152426526047131,1.1169872846536693,1.201786283592439,0.9812090699920765,1.573775414897927,1.6926737298648322,2.1076871294250066,3.062897903547938,4.676657851648906],[1.657447420904723,1.5898388658045142,1.558456320197638,1.3368089572802828,1.2851542541812346,1.238534618499326,1.1511677549130117,1.2100706049569545,1.1500084023250896,1.0950117626114564,1.0904706872379208,1.1182898667574481,1.1124437338409698,1.050850427248915,1.0862212659894217,1.122835876724116,1.1016263822161876,1.138280446109978,1.110593750957608,1.279286902663877,1.317555403518289,1.5279243490745216,1.532495296011716,1.5991913169050789,1.5553547264264165,1.3224992205176482,1.430237999524232,1.2062404583402253,1.1868403614058742,1.1776982551526265,1.1217815894774108,1.2208690617562656,1.2484519074310914,1.2258102750352882,1.2347421795364701,1.216119972672524,1.2401695481739763,1.3221092954136517,1.3360465573302003,1.6131834786278116,1.6755172135167573,1.5680683432114677,1.5603608281018608,1.5588925115318304,1.8413877606967612,2.0931245822436586,2.343789705911204,1.7050199773365862,1.5921240907499257,1.8678874029837802,1.801761383676692,1.8151907756254904,1.8401718082717284,1.7704837612832531,2.0420035442035602,1.7157761699617333,1.5960706562902527,1.5489326059135649,1.6269660566833029,1.8399815212571673,1.5112834198481562,1.4226773935360855,1.3039013992577522,1.481158687019174,1.526444281051823,1.430112850723295,1.277714959099508,1.224973995183214,1.1452497389541656,1.0972295903822598,1.2342252113252346,1.311292619822152,1.1133561576209854,1.2323106894840488,1.2839697127193206,1.439352455782618,1.254628962148691,1.2489917976482658,1.2956572761250646,1.3809948096864442,1.4379545410010932,1.5183719676204035,1.5987408644176182,1.7107047876855301,1.6082540943147687,1.4374000742391118,1.4303025455215388,1.406261099364492,1.274860473269131,1.303138787063815,1.1728865926139873,1.3315099242200874,1.2263973622364817,1.1187492928415708,1.1064295495465113,1.0864908930630006,1.1595275008782002,1.1381137844798166,1.1671578639874203,1.2507505386992501,1.2727198564505693,1.3550934835518038,1.3585326942618408,1.3886530080212027,1.6444532431653653,1.4370920017721782,1.5959444486903347,1.576544130247035,1.4532397111665416,1.3944907876299104,1.2856973318689744,1.2474989438888215,1.1540999656033661,1.1370332145880362,1.1889865584618111,1.1795739538578516,1.177764046839688,1.1240248262213346,1.14421331208516,1.1412636749962413,1.0786923640865385,1.0661741055729677,1.039785684120841,1.004171625136293,1.0676204707205141,1.1686543639556735,1.18977239505576,1.2518543288012238,1.3865235319397309,1.5014125659086874,1.594484977684177,1.6943135078471498,1.7044798387196394,1.635225994607301,1.5635731558269919,1.3567391827768216,1.344166278971127,1.2669043153976827,1.272566756975874,1.2604641239016767,1.1844751988834679,1.439039970175372,1.2882864466252648,1.2668761218073026,1.4285112812018093,1.2264619994255146,1.1850699090619061,1.1823453834028073,1.1966880184170738,1.159383930872663,1.2266418936133041,1.2245023048567079,1.345852551004338,1.563966518785339,1.2389068238904117,1.2429684453631977,1.1966227404290832,1.263708208344112,1.267027607186157,1.3464631869924621,1.330837029534835,1.3444171479966023,1.3086836620563684,1.4161784860787245,1.622094357712017,1.6802493824530556,1.7749043583056308,2.0437971183380172,1.920109120833905,1.5971913854099313,1.5386398786339226,1.3899044483187184,1.5070040416023966,1.4828623488803396,1.464542510311203,1.459285772914204,1.363891989705882,1.4920079374470447,1.5037245824545695,1.6469035599531205,1.6379525061852613,1.5193510458485195,1.7047352265965996,1.8260859737895092,1.7756068625664003,1.8298936136819806,1.7511312861394064,1.8811797185856454,2.113625895042842,2.187996655594997,2.2636485573405314,1.9471068880892661,2.0254838681516247,1.9278329799802205,1.9958922507051977,2.2119186532378112,1.8677384471508456,1.7450224897542164,1.6238782014866264,1.5933688773040071,1.532482046438263,1.5047003817819282,1.474506514650192,1.471550242589078,1.4772947053346899,1.4305357129997203,1.4320112935144824,1.4707045869818087,1.4517226361495683,1.4889317190295204,1.5735120949453854,1.5959889131942429,1.5694032560285005,1.6477158284941484,1.7833515404108364,1.7795676721157887,1.74690922845607,1.7754105084734593,1.6387473451388321,1.6647893643187226,1.5904701919554751,1.994470094645237,1.6897326371443107,1.6721073067401246,1.5544520602909,1.5717388655603193,1.5698216166192653,1.685924538477638,1.6444122045131224,1.5660850369998487,1.6497816522781195,1.7140759680356155,1.6486937018911272,1.7060831296268155,1.8894781141107626,1.9686654346191654,1.737976573567405,1.9829734140886817,1.6173124320854797,1.7723921791870614,1.642563787075509,1.5617042785669477,1.5738708409699707,1.5909679639512482,1.6596398962006174,1.733170525531175,1.6182282751083445,1.552516578957259,1.5463195030378378,1.4889067456603122,1.4854747259782322,1.4565890899301828,1.4385655951294436,1.4671353526798487,1.472691582709207,1.5841729108370115,1.5464372051776512,1.5889640653009778,1.574659269995067,1.5177009227038125,1.492224963256982,1.5129222928632025,1.5542541757522528,1.5136702970426754,1.4714806352512089,1.51574139112483,1.5389004810881133,1.495286375692997,1.506151953890597,1.5921348492465648,1.5233655086492717,1.568677992608162,1.6772441993873406,1.7133598801784193,1.6178677628082736,1.6333755852689718,2.306061912995547,2.11040697055041,2.1071265748512378,1.8057557719402282,1.6102455094553825,1.5551271264485482,1.6692069582245628,1.5318655513404371,1.568972825249974,1.4081792460144482,1.4340147553728375,1.3688735987890328,1.5031251466639814,1.302675913830303,1.3330394638241285,1.3913208179853935,1.4406626523646213,1.3664032157336161,1.3271123093402275,1.4332465236512046,1.4474919078965585,1.4636264442360576,1.4377615387510903,1.8763771643250415,2.0064308718085773,2.5491713583602285,3.6584024821551075,5.1798644891108845],[1.6386433117649024,1.6176613614231492,1.6576811977049164,1.4747010565573186,1.491230045133608,1.4678777123372422,1.4081326351512187,1.4669166066967816,1.38477248126265,1.2931551130388406,1.2854807205113297,1.3393801940077916,1.303872220538333,1.221778178472408,1.2467225843898346,1.3047840897063943,1.2419191534000409,1.2628362072272163,1.1845856625006708,1.3740254664614038,1.3998833716383607,1.5866912494142953,1.5964815776559254,1.662581073911071,1.6098802190995127,1.397527687193698,1.5017893848418318,1.3035592241240113,1.3059969883448594,1.3596815033035197,1.2766182341547054,1.4108829009810817,1.4270064432812926,1.419727931081763,1.4254972473223448,1.3809737266377182,1.4225420622506506,1.4591823696824413,1.4432305500401656,1.6947077796436365,1.7412385531464722,1.6248144517933305,1.610627984627666,1.5961905123148288,1.880042422130174,2.1754101492078513,2.3729070574704845,1.6979457622198484,1.6256663669359104,1.8599128822572242,1.7654271993519142,1.8258436333247965,1.868741365374315,1.8258726217328722,2.1334670470919685,1.7677356573716372,1.6428341174416734,1.6439866697607435,1.7168154786437309,1.863573594568275,1.5543456903356705,1.4926277481482622,1.3988708225223725,1.5330941546866714,1.586391440695313,1.520597602735266,1.3703407369607101,1.3282156544979393,1.262513885960351,1.228693185819783,1.3826207847994614,1.4311661402218923,1.2503004932847006,1.3712003609879198,1.39398453055626,1.4932466094763064,1.3819145046772565,1.3888901373092943,1.4369066257861303,1.5306930093837838,1.5776781964639222,1.6302076708781454,1.7620752543977134,1.8457098023003822,1.7114706999233882,1.572709423535102,1.544419849626598,1.5552323882998826,1.4260277960444032,1.4921603818029983,1.3248772656176717,1.4469193086498597,1.3742731856445212,1.2941696225434098,1.2756499522403046,1.254366148993657,1.3191213254127132,1.358734946390142,1.40869261204079,1.4926006258486064,1.5205049320678676,1.6124378883616235,1.5693063314855267,1.6252641853550824,1.9277318724543377,1.6508917821166458,1.7764124702904036,1.7778748494898633,1.658206764867129,1.6167098399292283,1.5404459509245654,1.4857911200159364,1.4103508428138218,1.3307450196870136,1.2724949779124322,1.2346529465008882,1.2653225429141515,1.2054341038033318,1.2269838881491613,1.2360221499383335,1.1839555466046485,1.1477781067023938,1.1326841386144346,1.1710507946945912,1.2645541325524146,1.3222910191871546,1.4624833695522554,1.4894423058764261,1.5842850145091727,1.673785717782508,1.7356018978740826,1.8131189463088757,1.8136277841849406,1.7716806448116698,1.6923693530436157,1.5219549214695256,1.522695977466549,1.3663725412288237,1.2736183940293284,1.311276866701884,1.2178823633281946,1.4095337651432762,1.3666830236647047,1.3522608528679547,1.5255214695890558,1.3759948664119224,1.3643244620299486,1.3822729538323535,1.4210005980000264,1.415705288835951,1.4934096741009342,1.4814026585788176,1.6085593456073661,1.835525156883556,1.5298093736345693,1.4933019460174566,1.4658615727727162,1.531723385064284,1.4995572939316508,1.5709590050279,1.5204467405416684,1.4978417850465253,1.41933829418828,1.5229576720015399,1.7275316495306492,1.676887872642161,1.859825511275846,2.068240437962711,1.9792342059512684,1.6539048070721551,1.6282749492109305,1.4893453212740297,1.629973961572053,1.611902315778003,1.6121185894042345,1.6413284077782382,1.5371923323215604,1.6800850153607918,1.6351483239957083,1.7911608368132481,1.7167565506232874,1.6814618867381088,1.8164446185684613,1.9006617848019352,1.8544442440944757,1.8813429990775594,1.8301963147342128,1.897485640153342,2.128563392835601,2.182940178532262,2.237508985293085,1.9923199348792862,2.0797814612410113,2.008885228885075,2.067263382049261,2.2481883980841553,1.848736535806927,1.7791546687078543,1.6959696039192313,1.6935597669458282,1.6418993713253156,1.6464622200909358,1.6454988667961783,1.6192641254070255,1.6071028585336788,1.6280318480770715,1.6389842259098188,1.6216356665461455,1.6042348457949036,1.6821221725401478,1.7266563589566757,1.7185685614511965,1.7165330179262026,1.7678419829669554,1.8299812257751193,1.8640065117957196,1.7676549997559496,1.7930623451626477,1.7165111312383163,1.7113609472510167,1.5275952105139048,1.938296529846959,1.5270379337752602,1.766292182737996,1.613764531749593,1.606799190645035,1.6476560609781172,1.6739555656616383,1.6062706217285996,1.624637462837322,1.6474140529230437,1.6139759229305342,1.5842697132795558,1.6777559940893236,1.8531377995265375,1.8302466110327666,1.6409394631541334,1.9651202730365056,1.6674370034766692,1.7791309897811325,1.7051965209989686,1.6674910295889258,1.6747769231391585,1.7203140860622725,1.7961600825211412,1.875150487400617,1.7891360099295617,1.7417594423716085,1.7721754426460967,1.6571228242510376,1.6520371273254937,1.6464942950955692,1.61207907963954,1.6183961688366943,1.6066082315523698,1.6898160107113946,1.637911825147446,1.6641571263549,1.6734502003845622,1.6183924977511739,1.6161483261828329,1.5850736988404257,1.597551973481565,1.6026248816783426,1.5524727558184261,1.5580430464784376,1.6158876217397524,1.5778754266040613,1.5327571265019009,1.597147372235466,1.5857206771563115,1.528307943412663,1.6442617166204043,1.7962237219735013,1.6993734086949586,1.7512320088684947,2.479680273569354,2.19483965606224,2.1075955595246874,1.917242068042297,1.7714247712106665,1.763846961929532,1.8692056226597156,1.7855469395244703,1.8442879527350031,1.6033750614957838,1.5817367022590396,1.6123285639538527,1.6702360275433643,1.583046087460374,1.5563997388161575,1.6030966200423764,1.6390302176966618,1.5532324035612686,1.5712875027383895,1.5762129936630829,1.5644824368092427,1.7673440784322998,1.562795502203507,1.8723573358589491,1.8532577727970097,2.1824284800846683,2.942201486768705,4.137980385054751],[0.9963187388709656,0.9791680068325821,1.0827277447137738,0.7634745067222488,0.8433280592882659,0.8950072347985625,0.8520073795924109,0.9064061140722514,0.8442908041501275,0.8265347096511233,0.8279544116910751,0.8834371075870784,0.9344456206014208,0.8222666292404763,0.9127816595632596,0.987562110918786,1.0025261714494575,1.083637289544443,1.1592045124298151,1.298711219578157,1.387453012962968,1.562658993840741,1.659312638417535,1.766618638277539,1.6281568040438383,1.4008710860690492,1.4045943250498174,1.179594667147102,1.1329318100841521,1.1092918314244928,1.0729454224510442,1.1073431018491364,1.1293808715882834,1.1960171874859975,1.2010106486211698,1.201615118230454,1.2082731226177412,1.3667752694923931,1.3788930847262568,1.6027533501170708,1.6491371610617878,1.5608371976491227,1.5886472316143019,1.667451511913703,1.9417516730586146,2.1520811384694754,2.4784794062484843,1.8182144986157311,1.717497062162705,1.905416649805808,1.864754163269451,1.836069729694065,1.8259322409677037,1.7508461850540435,1.8688173146980405,1.7651329821758768,1.7617023876287035,1.5945311700204032,1.6840592269848111,2.0859426809448824,1.6557097517915471,1.566675394673458,1.4394897115223084,1.584514827286887,1.6124481389520544,1.4663446374876816,1.3509926871831375,1.2304440712467823,1.1412467394024772,1.0679619714619029,1.159933087777682,1.2921352424464327,1.0677836326890988,1.1951238959503967,1.2418288246955866,1.5315770773342907,1.2953565350136769,1.2838978657620188,1.3506200935188655,1.4301208545607345,1.432790057849793,1.49339504167161,1.5299160501663456,1.6220904671323662,1.5503596963227775,1.4067238463179013,1.4225192070151749,1.3450583954484694,1.3022539151388894,1.3117871324597976,1.2124843968778964,1.3771798952502747,1.1894125171017522,1.0139469486660257,0.9655223963015866,0.9059748469154267,0.9785895198827417,0.9705242929970825,0.9532525137745459,0.9940202686737634,1.0820729369156823,1.1175059612381841,1.19765194538342,1.1640993701707372,1.3847643509412273,1.1720915013100048,1.2380628897082093,1.2392753073933647,1.0591884329498287,1.0477068630980657,0.9400401210659913,1.0299864612345122,0.9431092718053217,0.96189933736396,0.9759672916834814,0.9751898029694783,1.050553192989922,1.0828625162550878,1.1776719848386779,1.061722677009717,0.9644547119153296,0.9011079378266809,0.8650008032286548,0.7971668377383788,0.7922150840780916,0.8538884441318538,0.9789552120707304,1.0088007839775264,1.020712052572159,1.1939988575156613,1.2077816904538106,1.27325678391714,1.3914831695708494,1.3585304095071375,1.360638246428793,1.1677786250828845,1.0925176562757148,1.1124168953706188,1.0850857389803543,1.1345815427439006,1.2274259003143058,1.4611812284468373,1.3024174815735357,1.2392502620820387,1.3814115960648519,1.2184826381193845,1.1520054864433855,1.0979220081958683,1.064383348127999,0.9839832293869557,0.9512199568870175,0.9325452196992564,1.0817633928490367,1.3000226138619446,1.0689818637511515,0.9884937572492023,0.9816859904109453,1.0338769810111863,1.0606086491999633,1.1101056187754557,1.1860795585089157,1.275620964244578,1.3016513864042003,1.432870836896636,1.6093943770665502,1.7811064662760954,1.7218037206132832,2.0417396777966874,1.8557435430422244,1.5509112564577279,1.4567237281975458,1.3356856560585544,1.4240210551823043,1.3638894961027457,1.3351395658522318,1.2865682640503457,1.2308462284307222,1.3577367277377694,1.393415991648472,1.4577559418421984,1.4903797628903304,1.3104456794690713,1.486547074786036,1.6665442971663185,1.6257528578006293,1.7457035887031496,1.7389836745379657,1.8220006114055833,2.0780706869080205,2.055999964807217,2.1276767058644888,1.8492362783464529,1.8781520843272732,1.7084748464379504,1.637183688654991,1.753274654081435,1.5064445964328261,1.298053968847176,1.1012185134073955,1.0931998007997643,1.063036561013199,1.0156563800797285,0.9787376851794681,0.9896697999526297,1.0194792567055189,0.9880455415576385,1.0331735828134112,1.0904065194825558,1.0392097125583644,1.1005607963566646,1.2078599444148221,1.2235783391056207,1.158061868203969,1.2818609307191728,1.416645864057815,1.4609294303840217,1.3890864763963193,1.488698336622071,1.3361121731590695,1.3596157509703437,1.3016920535202656,1.7026625124011523,1.396044219809952,1.425481974511338,1.2832334157272205,1.2516136162482243,1.218296394368605,1.3430388512220575,1.3221398807725917,1.242024412202113,1.2591802329189894,1.3607912725782136,1.2875969178144235,1.2607715212176114,1.5182600605998453,1.5845513074126512,1.323650406401763,1.498440670884898,1.1416585303434212,1.3484876793144904,1.222973819766507,1.1397674689903041,1.2016172679411963,1.2079730930175572,1.2665669339544132,1.302342468237654,1.1813513683146433,1.1138725954572959,1.1348939492156587,1.0284998568241799,1.0363380913619114,1.0318197750346951,0.9942202557835952,1.0641070291555574,1.041300299870092,1.1414135189485797,1.1268493665480013,1.1810607246898475,1.206288903944451,1.1425552253408942,1.1280866791100084,1.165597219084218,1.2096267612431852,1.1462029434435108,1.1320515511204379,1.2285126877267822,1.2529108837646306,1.145698034943111,1.267805458565952,1.4028014761997698,1.2784059943955177,1.2358948866223507,1.527092589707725,1.6848324735880231,1.518832466151224,1.4144896102468987,2.3018794196634857,1.9053974403332035,1.8364391753622689,1.587496827883627,1.325907148962383,1.2938072906668463,1.5570158050323397,1.3596411339849754,1.4251768999559,1.0644032737465725,1.0086631131255877,0.9205653633737364,0.9985492233391826,0.9334965162649193,0.8742297065620678,0.9124583668012456,0.9466307243962028,0.9186567177681788,0.8945504997842924,0.9371841388530522,0.9116908203270737,1.06304014652851,0.9019016181887212,1.3483618734102807,1.268539998838578,1.5600742082037122,2.2617358643162584,3.5160704621730114],[0.7800175095187939,0.8088899704205735,1.1069262686877,0.6172414425431719,0.7277823361587401,0.8278134624537257,0.7580025274282979,0.7898703318063007,0.7524541918752694,0.7360309448635523,0.7439708593491806,0.7940079022273041,0.8232012691130438,0.7376017746789741,0.8084234584305022,0.8747194733260958,0.8868356472539243,0.9688516543492006,0.9982343129270234,1.1641867910203199,1.2416755025060562,1.4289194197973258,1.4849156104221357,1.574408376367566,1.4972128417466053,1.2632546019895008,1.3201008417129212,1.0612107754202287,1.0086521844349987,0.9733504613102519,0.9340715248609229,0.9718639237030863,1.0000367910746544,1.0356948508817203,1.042692993271638,1.0463196862500719,1.0415138027077688,1.1785656676560798,1.1700945538423035,1.3859169997440948,1.53810558013077,1.437926878229662,1.3884794332264452,1.3792974045662922,1.750515198313462,2.0496081970222897,2.263044368318551,1.4872486157331593,1.3556203666272602,1.593719288730444,1.429046030465508,1.4723837589993554,1.5199183867532076,1.5014927294059648,1.7708080461749043,1.445309604572129,1.4061981199681943,1.3460743017142929,1.4074564190323557,1.7157444259537886,1.3718002256865172,1.2997991097977835,1.1977385188534027,1.370609936055465,1.4220246008316795,1.3027536227709335,1.2004316567819848,1.1093369635173667,1.053960749775352,0.9626232551869961,1.1162740615352795,1.229860926355707,0.9874881511271254,1.1289845734131676,1.15324888744749,1.3520494226971502,1.1289748912681925,1.098260345915523,1.1362319586707303,1.2185637990406588,1.2247623536794976,1.2769852821317385,1.3445853083773105,1.4377246092457159,1.3540088028846466,1.1993200388632608,1.2316127935704169,1.1864503999344074,1.1199769847214938,1.135160551551312,1.028070323247353,1.200698726581988,1.0495289846067601,0.8892255614787996,0.8553183958255723,0.8050554334021537,0.8820981005238252,0.8574185866800965,0.8496263202987039,0.8730478435841461,0.9658389336901183,1.023376958275359,1.051481699948407,1.0277423200231044,1.263190333861366,1.0173978157440433,1.0605993848369952,1.0805566557855744,0.9023390086514039,0.9255070578687177,0.8259741314570946,0.9080695684567472,0.8352581122249811,0.8493514671533317,0.8689500201096448,0.888450832003869,0.9758533889737465,1.0031276005622456,1.082992569143132,0.972113035104504,0.8848426940755227,0.8276665922243011,0.8082854621025601,0.7161612479669652,0.6862526332756154,0.7447287326025619,0.8966108668626289,0.9091708310001497,0.881808750885268,1.0296083381954457,1.0189239902953882,1.036562555843326,1.143008335047542,1.1182671242306885,1.1652334357538876,1.0308915416013122,0.9701000928916573,1.006941265606185,1.016036609571767,1.0605711725415203,1.1249208504580694,1.337809231893599,1.2083352341792533,1.1312217225329053,1.2855544576486013,1.0750735670169767,1.0458417155192163,0.9858471368898969,0.9346214013469226,0.8793804330938548,0.8775425538504548,0.8268864457187,0.9750703847869587,1.1872655569194925,1.0066184537589244,0.8766552882789482,0.8807257593469855,0.9299012679973988,0.9542777688202004,1.001734954735601,1.0565689335385857,1.121915345793316,1.1265449641724428,1.2097053218798737,1.4091330226864445,1.5243476635972144,1.5742228115691073,1.8951213414449872,1.7949511606125936,1.470663865422207,1.3284272102102532,1.198852532933788,1.2569500919932168,1.1728056838019065,1.1558676186561625,1.1254680451534032,1.0921023928824525,1.166887899958016,1.1863839965704053,1.2367890416381635,1.2600347137049892,1.131600781155596,1.2543010195674502,1.3491145404166627,1.3703555239101284,1.498258004951543,1.5408383270774986,1.5733243184755088,1.9514431864710176,1.8535387429611279,1.8578661718937628,1.55757784878776,1.5931792043712152,1.459804656096577,1.3686256480158794,1.4426621920328548,1.2019703811813631,1.0208732562310954,0.8695134621955413,0.8650560961519331,0.8362026065493917,0.8016850245106205,0.7855423288443977,0.8182649756030679,0.8476100126660757,0.8369927298848543,0.9129612374189,0.9895581516195434,0.9154808491263005,0.9615068603492293,1.0786807254184576,1.0887580059552038,0.9955404472863458,1.0975846007532868,1.2514712418734233,1.3328753914642684,1.2377738488371295,1.3747830887549652,1.2402676067343923,1.237491550992632,1.1600921256064278,1.4792705139411793,1.2460724831901138,1.3300359641453166,1.1309889692812949,1.0099886580374486,0.9823930154030386,1.0525848870363101,1.0755594153457464,1.0143519484764565,0.9731238550775204,1.0874561041301734,1.037975692088166,0.9744848358217659,1.1890771163284413,1.273509197355502,1.0698888814830174,1.245571594224784,0.9257996048011546,1.05082611509278,0.948748168749205,0.9012527062128699,0.9980873082950605,0.9955857145093504,1.095918045984788,1.114247443164411,0.9872682015915014,0.923063817137418,0.9624888048644759,0.8518831349932359,0.8696208356389846,0.9003932495285581,0.8685729421197007,0.9375731685055329,0.9234276122753872,1.0540128330533913,1.0313366376873225,1.0594523481531697,1.0842686014682514,0.9989348519304849,0.9732596395557581,1.0034084467363142,1.0574064952372226,1.0115656075529642,0.9730005524418768,1.0823906750744998,1.1190118182661029,1.0040332735916493,1.1307806790718682,1.3040258787062549,1.2302890111640454,1.1375266708317624,1.4893765566711925,1.687204125781179,1.5323716299847625,1.368425144927852,2.229351136668386,1.8863747855246178,1.683804569007649,1.5054669140371049,1.2614325382429243,1.1932533045771565,1.5185059502674878,1.3401280584610022,1.4215668387903428,1.1187934271791085,0.9210153528180451,0.794236748045668,0.7947070998841685,0.8143533884503643,0.7596173219719841,0.7721238478065928,0.7876200243800578,0.8248915968229412,0.7917478118379397,0.8071696971208318,0.7761410676118642,0.9240838477637381,0.8018128109962378,1.2698423722552086,0.998604428739709,1.2154690558033336,1.6566963081971098,2.7179128597693625],[0.6850078968342798,0.7173400392627248,1.0522163301933323,0.542862425256475,0.697111014966333,0.816808772656847,0.7383736323399542,0.7369992469757379,0.7248313984028948,0.6824037257911785,0.6799803387086618,0.7424237810029619,0.7334844771068324,0.6378393458875226,0.7092907252044488,0.764744003243891,0.7748176930592917,0.8212350589565881,0.8346909735980264,0.965263163649813,1.02923735913424,1.1962612510996558,1.2667834451205342,1.3209302036058186,1.262421771981932,1.0594023390313412,1.0980553462743896,0.8902133591061812,0.8671656603454092,0.8628073232131007,0.8095504169071251,0.8499526755441357,0.8647477822274869,0.8930429708413925,0.907837717257318,0.9083787739863837,0.9342087451266331,1.0686308117987748,1.0438157217007604,1.2009278661069756,1.2813700310018576,1.2233742124112583,1.178634594458613,1.2271260654290472,1.4818671812533084,1.7183498618216633,1.9621450574301653,1.2810064952150295,1.2678125254677406,1.415737065352114,1.3610789814145337,1.426746783821068,1.35827322945123,1.3415568155297561,1.5967336583325675,1.2921587764879996,1.2796890347060843,1.1887464155283722,1.2388817310770484,1.7154823299836977,1.203913670645459,1.1130013954928868,1.0035834140188495,1.1408728029755382,1.1616350176252668,1.0842957731951681,1.014604866982263,0.9171418902234434,0.8693516516421667,0.8520266793118009,1.0057576624199447,1.1487209322307623,0.8832414000366526,1.0363615433649198,0.9720818231689596,1.2333362757943613,0.951986329250727,0.9295842587303814,0.979825719258153,1.0661647042131241,1.0744968673725137,1.1238954548491016,1.2362628543514793,1.309445894210645,1.2254297327531811,1.0707661556513408,1.0594140142565704,1.0424802433438167,0.9627555091031511,0.9731305686055401,0.8960559780575122,1.1074906937249178,0.9308569246625598,0.7535817305493646,0.7334159421493655,0.705571304768114,0.7985562321444558,0.7613868891189327,0.7539589093788767,0.7813304384224999,0.8521630565890027,0.9519446476716811,0.9458143695591053,0.9482600979248959,1.2103254166779622,0.9271087777421406,0.9437616791372324,0.9870084038873038,0.7976985914128408,0.8382745504765361,0.7235266665254872,0.8268834685651286,0.783537718553427,0.7857023541599968,0.7032342882098463,0.7258326111334262,0.7904310116594899,0.8320019676153517,0.9007402466975706,0.7832543717815281,0.723782207917422,0.7059625583819142,0.7007642504414516,0.6562124150038067,0.6422472701967334,0.6581687267391872,0.8802366860673534,0.86775804929745,0.7561517461072953,0.8977471559660912,0.864443699671182,0.8893340317749456,0.9966597861459815,0.9789132377171372,1.0208244520332281,0.9144460145716804,0.8638773726107016,0.8871516921721145,0.8100401448317871,0.8654786372959824,0.988321161946338,1.206418039651338,1.0065184477930076,0.9541618353779852,1.0632228994695274,0.996282760171205,1.0055981393669589,0.9253168255347838,0.8648229381739588,0.8433812282040335,0.8295192474493758,0.7849594748083083,0.9301968525516026,1.160631845151549,0.9937446827891144,0.7863925451932243,0.79267105075381,0.8608132008463567,0.859686710740754,0.9188638845064925,0.9719437133981379,1.0124460960415627,1.0419686446284295,1.1088548590965848,1.2237935480922542,1.4002161871390966,1.4666988937445897,1.8473306106767982,1.7164560699535587,1.4152950352028943,1.2201879827063806,1.1232864886023246,1.1489472848572917,1.0404511095268323,1.0310815849362769,1.020467651926748,0.988229192108582,1.051610097207818,1.0572006897868496,1.0797878418788598,1.100623596888978,1.019490231443049,1.1223236978216884,1.2044878522508293,1.2103640469708086,1.3167121103034285,1.3597816060862167,1.376249901761331,1.7055550383239853,1.7425159336741058,1.8160924314096119,1.4078930069382178,1.4994064154628586,1.351832109099702,1.229413592654545,1.29647352098635,1.0441170862764888,0.9131210856333546,0.7739558321378956,0.7523453701810666,0.707778966003876,0.6582907538304698,0.6406347779718641,0.6543263844439946,0.6779023926942209,0.6797662504070601,0.743236757915015,0.7886061912474921,0.7310853241064934,0.8089224896129648,0.9051648900856232,0.9091453476266872,0.8553110070353505,0.9788093977907631,1.1083068706371997,1.2020184990707605,1.0277111480526397,1.1268102592861133,0.9935872149991531,0.9909822701649235,0.9534023169864382,1.353072001436337,1.1069756264435702,1.2421053234106632,0.9750069261756574,0.87393042463162,0.8515548159547508,0.9346698248893363,0.9648013268399083,0.8653554277630898,0.8764172887840013,1.0122446266505867,0.9485513931965714,0.8907903098809419,1.1137529743149883,1.225515999388428,1.0077843969265023,1.208945232412429,0.8289610321433952,0.9350598031380507,0.8398281713797416,0.775398217438774,0.8849216637358084,0.8692945378981826,0.9910552388493981,0.9882128060620812,0.8545152645404107,0.7827660997402724,0.8293637167450977,0.694715094010237,0.7167316045203854,0.7797286368433158,0.7148265540928933,0.7628112628746347,0.7683489642326137,0.9265792892062175,0.8668832416179691,0.87858309099821,0.8877954259696073,0.8048731592287752,0.7861319702887133,0.8258952448494531,0.8474389684544238,0.8099721288325437,0.7991111286562397,0.8890697200191493,0.9151245578297921,0.8246703866617029,0.9631600738936681,1.1213765720717361,0.9947678503249573,0.9834859637129807,1.2849990257350454,1.4543805481257008,1.2786035292151725,1.0916839959518854,2.0237715724696383,1.6426392174185216,1.368523054739322,1.2906730806369873,1.0525368791452205,1.052634576549572,1.383910222973482,1.1016836723867371,1.0649968298654284,0.8048622549515254,0.7039556740367191,0.6486558928662498,0.6625931470838671,0.7182470079825665,0.6396013209590424,0.6497023391099853,0.6498139096920954,0.7753800475906208,0.6944998213852676,0.659281474710472,0.64121660058456,0.8965275233052521,0.7066269043614548,1.2152291950153464,0.9533065859762756,1.1723938592753367,1.5094541528492798,2.745453439245602],[0.7924271426996854,0.8322525741872592,1.1873396510881928,0.653577974342071,0.7165990679092146,0.8660943020990137,0.7127865309064464,0.7104294584832956,0.6687167252326899,0.5907382232770712,0.5910502995334547,0.6614322128628308,0.62549504304166,0.5607030376765643,0.6346958598281167,0.6692934350601156,0.6852385424354177,0.7596068203707083,0.8203511639088094,0.9286085899724993,1.0220777587533432,1.1834860630485107,1.271818350007931,1.348687217915389,1.289740696362368,1.076747502776761,1.0977895448589554,0.8360794709554762,0.7781806967199493,0.7492898252151378,0.7211974890485813,0.7390253645393047,0.7610377104403316,0.7848967949606291,0.7972144805767015,0.8077104153248532,0.8144256052175749,0.9550052735927475,0.9322110188559465,1.0877077827319686,1.2651310253640167,1.1990599854248631,1.1211183597071643,1.1315803877767856,1.5062983134004373,1.7841215374217458,1.981909634255657,1.2180837252516596,1.120659612712554,1.3187199138687002,1.1942684538928958,1.286643735030011,1.2301977196049032,1.2348751609902866,1.5367745666106467,1.1576890330643161,1.1452456338213206,1.0971613250760137,1.1318393314899788,1.5719654500602411,1.1180839689638509,1.048295817528958,0.9337362017179545,1.1318113011234177,1.1467815444278715,1.0383910620408374,0.9918929410417918,0.8849561514345234,0.8754429730389198,0.8311018808009037,0.999235796968051,1.1583535991539393,0.8684113158932084,1.0237995730397822,0.9479643882253493,1.2152201092305734,0.8829380800992975,0.8460625838797565,0.8740746618916814,0.9547795917488273,0.9441625125605307,0.9992940941658576,1.1194604492649556,1.15795683090984,1.1130552278910055,0.9448959504746595,0.9532723882924874,0.9225430558874311,0.8608479136313832,0.8644416214684637,0.7991183101193678,1.0384323650282412,0.8583851250928473,0.6649346337818286,0.6482653503672868,0.6406806186894497,0.7385249434977541,0.6639988229602322,0.6604670736952877,0.7025176363536872,0.7314260182297496,0.8583574459656581,0.8372414190047944,0.8747200594870598,1.1424882365997335,0.876541971626499,0.9404375464540908,0.993361344565401,0.832399339887943,0.8602455857046363,0.7347980770607447,0.755375852389625,0.7105941729894396,0.6743649441256413,0.6464119707860622,0.70389547991131,0.7697639969140692,0.855370309426691,0.9284314159931567,0.7846279777467257,0.7557206382123882,0.6942931236512571,0.7010232697693254,0.5690365702037394,0.5654717262441414,0.5669712706587734,0.8861627902434723,0.8019289859097225,0.7089207164211175,0.8060381535318544,0.7845421500274246,0.8389716947537122,0.9183231131770503,0.9009269812789786,0.9179005731375338,0.7992134435842104,0.7768111684380686,0.757453151496318,0.8493024011978847,0.834013303906768,1.0102976370908854,1.2220874556497954,1.0065225966463565,0.9101107961545785,1.0066236330022105,0.8787841918512928,0.8841403667265406,0.807427135541981,0.7568342226927169,0.7577391663169926,0.7844705412150352,0.7537607128597923,0.9133190502916535,1.121659002144821,0.9588898646791626,0.7204859112652585,0.701294825496418,0.7763441431268058,0.7420583010199793,0.8219962149109311,0.8624293367597352,0.8930456079560776,0.9247852162728504,0.9869421132627957,1.0939669434723558,1.263084117770843,1.3593305278861498,1.7593593112289323,1.6246047520487823,1.3705831199053542,1.1122631389565423,1.0204419471850152,1.0391233814313714,0.9253592039239373,0.9130177765348217,0.9135671239515706,0.8682592098970742,0.9313795600452816,0.940418227590013,0.941629053321188,1.0119116325196775,0.9233361596415928,1.0086994654818267,1.0814106263088534,1.081313319281395,1.193718963675393,1.254113562252314,1.293196563240281,1.7301857594161976,1.6564213070581033,1.718960244399046,1.2759437050852058,1.3829176328012973,1.2495236793759787,1.110799809191421,1.1296242244799735,0.9482864490221941,0.8927052106877353,0.8690632861826133,0.7552250630042752,0.8318295785948888,0.7743275728863365,0.7396135464845459,0.8826865330930492,0.8957324339071296,0.8855261038685734,1.005104472883618,1.0491529346402444,0.9615788071883169,1.0289622782866694,1.1262436753267768,1.1128713677304514,1.046840744218977,1.1679352232900748,1.281790497785039,1.391487860554352,1.1880230055175647,1.2973114589689239,1.1933264433918724,1.1792081604416487,1.0761690404892652,1.4062220235679264,1.1709770491153477,1.4389632855282708,1.1485130216129407,1.0105471690490246,0.9874001426473352,1.0256711271019394,1.064235918785506,1.010752855523841,0.9310384877470976,1.0792564229621677,1.0535519134154785,0.9653120016927683,1.0836418885567596,1.2249392689741128,1.0615734645017258,1.240698473414975,0.9618299500332586,0.8726481105041647,0.9071168467495511,0.9079169528757345,0.983623971008117,0.9610085867244923,1.0410858539976606,0.9967892886118754,0.9599959869400808,0.8949442421044786,0.9202184010655481,0.865920970125146,0.8983027946817794,0.9615389210722435,0.9179714768213318,0.9608289254382072,0.9667855592466427,1.1036842205017383,1.052936132171962,1.0561349014376438,1.0780536117745385,1.0094592477792241,0.9796825283711088,0.9783993457308124,1.0343481009978182,1.0169483652096645,0.9782022043654917,1.0597684765707918,1.1057684448540621,1.0328362733714593,1.1153412017851811,1.261567785671563,1.2103575826396564,1.1531004353154575,1.4041093125195758,1.5779125191461323,1.4544822644658066,1.2689956138536187,1.997913618250749,1.718028084815222,1.4542348396510136,1.4543946731187491,1.3025772380038283,1.2821436461759572,1.6144862396737267,1.3472654429364226,1.2750325580107196,1.159325090358778,0.9923998495515951,0.8713568226295528,0.7402137386998422,0.7675377289912084,0.7990139453955762,0.7388664849691086,0.7772551902224585,0.9038996775517943,0.7982578372068067,0.7989381807309952,0.7625674919228849,0.9439046617697996,0.813200918905168,1.2146000176882004,0.9491048474124842,1.4841772093088155,1.4352595914819062,2.0912030204915144],[1.042723044577172,1.0849292369238825,1.3964853688218666,0.8855107140869178,0.8875612816705429,1.0108652179970614,0.8690409005817678,0.8886158147927122,0.8407307253496142,0.8144762334366381,0.8200157595650245,0.8467805375172414,0.8809716287612714,0.8347305530643802,0.8798239844022429,0.9298112597343778,0.9543497136587649,1.0687072079496147,1.149238679076287,1.2858533715236946,1.3874767486490038,1.5707775333337586,1.6345912476754954,1.7404361534283328,1.6824954821353284,1.4535278237642222,1.4799768031239675,1.1910889363747224,1.0886846683862295,1.0102636690205393,0.9929381276127931,0.9832830324903712,1.015858449911863,1.0564759267204025,1.0656081143759046,1.1070827243292978,1.0553517783294928,1.2097990641779395,1.2165701090956458,1.4179624607323145,1.7175362748973066,1.5742785291438732,1.490972475017761,1.4470236717849958,1.948542874370634,2.320921760355694,2.4493764965776506,1.5862674980940021,1.3828333701224362,1.6706583249109583,1.3468126417124362,1.3913819637810614,1.492405892898033,1.4956801725960736,1.8341188312280026,1.4274904492942673,1.395184508190036,1.3761393902226646,1.417815372232627,1.6360730205139615,1.443085207082391,1.3839528264306618,1.262692667830841,1.4921371830432362,1.5449223492540425,1.4066498830697165,1.317344643781893,1.2293106251694743,1.1916300898805137,1.089507007662429,1.2171711124706242,1.312726557658636,1.108545383919068,1.2668998526646806,1.259652844329649,1.4618807807896728,1.2167242859990692,1.1521168131293489,1.1749104992747461,1.2438817253835601,1.2378877391430172,1.2922902401547918,1.327181716871329,1.40129034673751,1.367853055193483,1.2108810689646492,1.2852924771272436,1.1957696849420043,1.1658295982673028,1.166062678961324,1.0868413759529842,1.267280638207089,1.0964166711540313,0.9393197592380346,0.9049945630887818,0.8540827639690715,0.9319101362147693,0.8816753722437268,0.8672062632473666,0.8962750824510621,0.9541707625702179,1.044005459226602,1.020906062835876,1.0169270859195718,1.233139287945728,1.0110546833780676,1.050315314431064,1.0638731774405428,0.9472325492122456,0.9639803185315211,0.9011726007146006,0.9306969253360319,0.8785945852282151,0.8958060075115285,0.9823418704605841,1.0445110097619161,1.141636723253336,1.2154117196502332,1.2714351320083357,1.1450513625039664,1.0778798064255937,0.9715980803209006,0.9624014684569121,0.8279872629253916,0.7833979507129699,0.8247725330121953,0.9950312595837643,0.955348078403664,0.8750190820870303,0.9844662794472686,0.9239128448067309,0.9284201639827383,1.040150275252382,1.0279259177949323,1.1128749235140742,1.0499089943162205,0.9938183960102605,1.1306701944313713,1.2605550730800998,1.262982311161417,1.3422767671203064,1.5462291799918573,1.4247175820527034,1.3112952339668393,1.4473973663773323,1.125384975406621,1.0867775441048135,1.0051954375229126,0.944197942086197,0.9117610273079816,0.9466560547595698,0.9092778812170565,1.0751445202107024,1.2405524188938268,1.0726968497964742,0.9139200356891453,0.9009084673512044,0.9564022303312318,0.9528150564731761,0.9919167214160778,1.0588359409050774,1.1408406783466623,1.1813804996269155,1.2293008628298545,1.4685896867388057,1.5986205446881225,1.6212921154506377,1.912283164677883,1.865408904242017,1.6680433351286583,1.4268171691041747,1.2759041070280466,1.2847592299973325,1.1659238425805765,1.1380705442842523,1.090333420787367,1.07487340899524,1.120039532403923,1.1535541284910686,1.1812567123387867,1.261442685736931,1.0831674112096037,1.1709230222881777,1.2508723529296404,1.3189470642847738,1.5017503951067883,1.6029122509714067,1.6326815396775305,2.148337406041137,1.8898948191466884,1.8199898833494357,1.523732386729146,1.5138140578814459,1.3772049651819562,1.2277979945643678,1.2273091426729887,1.0148010543027157,0.9098849313666523,0.9417778629304425,0.8589855507302587,0.9838040936528046,0.9564349903381323,0.9450116757977528,1.1271477222651354,1.1452066596199593,1.1540698334766055,1.3137732238717827,1.3645437223249182,1.266033041571453,1.331205013487103,1.4478219119523437,1.4376528070760866,1.3408981631402106,1.446393851278773,1.5658715201561826,1.6516392387140921,1.5284491810888987,1.64244757541454,1.5413531902116526,1.5224413772715084,1.3718717516036874,1.6241243440062785,1.3735100655123398,1.6155852592732547,1.3556936023871535,1.184984474160415,1.1265053508705913,1.1430733172601124,1.209794469969929,1.1883327833845485,1.021579513884898,1.1427009588267865,1.1667479422392038,1.0505531601738876,1.1123520753335028,1.2741409803695265,1.149211165063123,1.263118309061111,1.0701133483224194,0.917341748019046,0.9721742461145376,1.025258492115479,1.073351784781339,1.1117273754464974,1.164027967759505,1.1523726650851793,1.1606887545622278,1.101778682199849,1.1260511018475143,1.0902504263326063,1.1304865217183575,1.1863908838608386,1.1863171353047033,1.2385390111579715,1.2421184761474005,1.360423058439228,1.3505089462340616,1.36099074959272,1.3860063343496274,1.2970329957329783,1.2308548111974562,1.216584415529711,1.3288857749104248,1.310972867125556,1.2163729762211093,1.327053334499226,1.4133638101982982,1.2958474393159778,1.3386380704316307,1.5200819527202107,1.5335342584783502,1.3624372305122263,1.6090450239631149,1.819564957643955,1.7465931895011855,1.6169616289376054,2.1636560592909535,1.9729298563271862,1.8018252895728673,1.7763806777854303,1.6493778408906865,1.58555580206662,1.8767913656160657,1.7369547058583656,1.7079167651655152,1.6111089734213326,1.3413248762854373,1.1393444246044055,0.9092110464993554,0.959021781063547,1.0549861103850695,0.9551372612810461,1.0057451301182794,1.0399488436774607,1.010318346119069,1.0625772901968837,1.0184765690211381,1.1018940777818653,1.062827018630229,1.390968124049678,1.1882421684260418,1.4717144511243097,1.5157717876588814,2.059608063481499],[0.7909563759321289,0.814328937389358,1.0936292430616084,0.611710873566822,0.696905742018871,0.7655763475414156,0.7046745566678624,0.7371694324560418,0.7155189498776134,0.7536893939411787,0.7555480060768894,0.7689898773044875,0.8594689120189242,0.7892738759128984,0.8510617675181941,0.9171657419402262,0.9654301417674095,1.056402061761203,1.0887569818125926,1.260421832381895,1.330893878293736,1.5179573960902768,1.5589168980507295,1.633539345553464,1.6167460792785462,1.385991284551488,1.449944772858776,1.1791220452252764,1.0972663505468379,1.0363272742507805,0.9975304655218857,1.0068489126340545,1.0274568681894478,1.0660198928184068,1.0901473962632018,1.1217800260901476,1.0861202302860082,1.212667152801879,1.2317599377156483,1.4584659370281914,1.7242784175605257,1.5616850136713076,1.4820152000399376,1.4093493997433402,1.8708908299136247,2.231363420026072,2.36234317571783,1.5390562976451518,1.3485062951337172,1.6507347450331569,1.3460336459836229,1.3925177708419398,1.510917495474981,1.5185823956879057,1.911649811440518,1.4323731365314087,1.3763455874479544,1.4052215876361356,1.4365531478067948,1.583081117873839,1.4116301290156301,1.367369476370176,1.2478494753182705,1.4392953001414055,1.4963776407515805,1.3855859366987158,1.2677013446092025,1.1909625861572544,1.1331630550052785,1.0407167078997515,1.1549789499474712,1.25406076819883,1.0443599699287063,1.1908014896827392,1.2366320112429725,1.4570745873118267,1.1937654110561602,1.1577759983735065,1.1818260865200454,1.255245183405557,1.2726267693500266,1.3441647659796483,1.3820756833389385,1.4390590562659378,1.430871546693762,1.2644102770150571,1.3159325169244418,1.2365514830136164,1.1792939735084966,1.185316684077075,1.0796259039803187,1.2781946757874798,1.120056310386844,0.9398937690283691,0.9092399367064135,0.843698644384323,0.8875927243396391,0.8670034096345897,0.8344568605989925,0.8249513670143872,0.9518315201592495,0.9804606414833819,1.0503796364487419,1.0242129973506502,1.1872053621127445,1.0152189574740387,1.015817703791571,1.0132261637488462,0.8789352837682551,0.8863585931603023,0.7610856922131614,0.9209876950067795,0.8244268565831833,0.9320406254720748,0.9706644850921616,1.0495788778529462,1.1337583377606046,1.155998283584718,1.1671325264884065,1.1014822050705217,1.013459451009841,0.9069851202535552,0.924303603430214,0.8225473698632279,0.7506276800863099,0.9034723649181396,0.8437914532152108,0.9716376735727671,0.9435639971631284,1.1015280976277375,1.1008913658758597,1.073343935824172,1.2155938448734938,1.1595149557342468,1.256733911276275,1.1843322482631036,1.184980042756576,1.233471352728312,1.2426783293568875,1.2860947910229246,1.2587317972836738,1.452470898269624,1.341565213662093,1.2896437687830042,1.4423918591614342,1.1481306133117835,1.1146627404490548,1.038409872800055,0.9735114179129382,0.8709568573600223,0.8286513470965915,0.7727386739162022,0.9445049034792556,1.1412235562322852,0.9314803637992602,0.8162137629211142,0.8457122108568852,0.8968864416833487,0.975421470915146,1.0271560700775761,1.1299081805906817,1.1956362447862523,1.2071563505432044,1.2624586150733474,1.4907296908447805,1.5447627595930036,1.618119692170978,1.863971404440423,1.8308225765120945,1.6635678584050106,1.4878239947198528,1.3262859352774314,1.3582170396502646,1.2585616329604719,1.222411660022984,1.154653982209934,1.1310379444280247,1.1834392182452294,1.2398500829609578,1.2883248884890828,1.397926648459673,1.172187577410049,1.2779727736403417,1.3620749253341855,1.4235563118968557,1.5718061845984692,1.645659658040942,1.6775854683770268,2.133414143769617,1.8812485421301275,1.792782320151897,1.5617667041279268,1.5414042046844991,1.4465250199767734,1.3518264015925574,1.4070102426929516,1.3160498486802117,1.0741914072207512,0.8690133290030864,0.897801008720545,0.755068131476262,0.7004620764279248,0.6945023735417796,0.698583784713567,0.7290122736178425,0.7240375316767426,0.8375397906957525,0.9178749833756743,0.828324150382923,0.9209910825727385,1.0838532747852068,1.0803310086258069,0.98068156073336,1.1434923865894409,1.310709971859811,1.4062637823655741,1.2293647183181482,1.3791078559653533,1.1923418960782053,1.1680467713071199,1.0406305754724903,1.4017514834243536,1.1261562069117428,1.3576491766892773,1.0308018229439357,0.8890649278193726,0.8787131747898212,0.935097999875219,0.9698350468321373,0.8658481339233066,0.9238976434382397,1.0180276128460546,0.9604504666547298,0.9308115530833725,1.1545304043970281,1.1702846195643866,1.0008428620252892,1.2940818273804569,0.8830400488027412,1.0794027960732684,0.8888839236800786,0.813557338288377,0.9111984522416391,0.8859488351859633,1.0063446038081914,1.0100420698629482,0.8840952021985553,0.7991422288064135,0.8302807042075288,0.7241422519661723,0.7555598455920045,0.8014781430637796,0.7731840254126008,0.8364727604169425,0.8481895619001054,1.0116447222811806,0.9817387720784646,0.9885889009339166,1.005889858691964,0.8905275628440193,0.829538588909258,0.8694350417323232,0.9366019268978961,0.8966176318917257,0.8453731877150052,0.9628819647203227,1.0224246327691326,0.8944227359333653,1.017191409017511,1.197723387320644,1.1319225437134302,1.0162136767878867,1.2674639962229086,1.502747543180356,1.4134515744661496,1.31185386669091,1.9963359752543264,1.8595918797089201,1.6016289964785622,1.6066917780110639,1.3236263359316063,1.2613835701290474,1.6956964976242905,1.446225124048603,1.4175012446286548,1.0599015194517931,0.8025682785839483,0.6717310497543804,0.7646752290480245,0.7778077308173232,0.6485363808139345,0.6874148332390853,0.6839303882446848,0.7407403917510803,0.6871805931914207,0.7214177408782471,0.6932362884185093,0.8841750127800039,0.7541166149641529,1.2386147123048534,0.9587175352899076,1.1466778317815334,1.505730796271146,2.5025044304590347],[0.733868127351631,0.7460879774699852,0.9932758262019984,0.6233882171897074,0.9267741406219203,0.8362543397792102,0.8644792365597511,0.925121840905267,0.8617245653888285,0.9010715082087424,0.8927927538746632,0.9304027021544556,1.0267568744418096,0.9126275653412649,0.9870286971681967,1.0661627677988352,1.09150094689851,1.1653765507416838,1.1477254049218628,1.3440870640222249,1.3868213128897195,1.5817008741092062,1.5903429212314868,1.6517001578929489,1.6534915156429464,1.4188885769189679,1.5194551502769715,1.2710942071192066,1.221267892226128,1.1938054829585356,1.1353016368021747,1.1814742474660818,1.198167643030479,1.2319450562830851,1.252883150087547,1.26553981891827,1.2571900946180792,1.3318619240311482,1.3429925469434683,1.5864304657824553,1.8159802001675769,1.6431461769313953,1.5745632482682657,1.4754500513500572,1.9131535391142658,2.266431911597689,2.406039974905327,1.5991784220374439,1.4135925845782256,1.7136456189251112,1.414236879197994,1.4876418458380118,1.6212348950507367,1.6313722403290905,2.0300558967436935,1.5484395205628598,1.4622805572367832,1.517481424584991,1.5554893830760212,1.6290029942178852,1.4881383205835153,1.457490656533484,1.355909715657182,1.5144314174914961,1.56883674732325,1.4749822330997189,1.3289004552970085,1.2781016958023057,1.1893263329769512,1.1114362045459563,1.1902495161178053,1.2654427128705987,1.100812432789287,1.2313753485124843,1.333312219375143,1.5370850218211922,1.2997612990313767,1.2905274365148183,1.319575592267487,1.3806401298497801,1.4283546343733753,1.4821638798953178,1.5285433881878017,1.588992280574426,1.5759449699511785,1.4270741934429432,1.456744969289565,1.4036444395831644,1.310641906137318,1.3317847771724842,1.2062111755069918,1.3824642359691355,1.2426672266106062,1.0937417401194969,1.0634636067062953,0.9957797143071057,1.0107036336160362,1.0427467031895992,1.0196531085506557,1.0197390835659181,1.1637681904000827,1.177497295979865,1.2708395065137041,1.243858591841552,1.3977909185485566,1.2750361339188463,1.2920803171355224,1.2833215935105844,1.1683572740913497,1.1614763700652233,1.0455617224989904,1.1659525282606076,1.0401975956743579,1.1227243170403016,1.1194149365760584,1.1563784699757504,1.223275587145947,1.186889627993205,1.1888698462138525,1.1727927300607628,1.060796567620441,0.9790351871710941,0.9671339173059538,0.9248425550128982,0.8977820446381632,1.1086893718308481,1.0273883167134605,1.2167092088647997,1.278144439142776,1.385507000587521,1.4425867842452171,1.4083960061528606,1.493285660928385,1.4280726066469411,1.4873867808418673,1.378758519026862,1.3950414563178595,1.3344170502195927,1.2900832404252236,1.3564458146071223,1.2435063362913716,1.4337038321405555,1.3725885328692922,1.3609124262556698,1.5416213742433806,1.266766239590689,1.2307364044566473,1.2019551170476606,1.182356583254466,1.0635860626725726,1.042640749334714,0.9654880479044364,1.1040809160831453,1.2974301520914788,1.0754989532221857,1.0359268273585454,1.05300369897367,1.1127229437666781,1.1868535171832508,1.2464017456534822,1.3233773362278962,1.3540386823159356,1.3184584089503006,1.3859068592265456,1.6126330143284904,1.5972232060519032,1.7039954530165842,1.9073843407445505,1.8872686226635331,1.683107121690184,1.5860723384321875,1.4221163748881867,1.4987104775461664,1.4411228180688742,1.4147785691234653,1.3657540484877602,1.3296859970592183,1.4026933609623047,1.431658391339809,1.5069021566284528,1.5798532100797318,1.3994877046684173,1.5098308060061685,1.5871163453364587,1.6123398403723923,1.7155703031790417,1.7545788287738893,1.7805824178202154,2.1808591295606488,1.9513868382826707,1.864602422240061,1.70282861327397,1.6801194424681984,1.6242141436823219,1.6114424345210259,1.729880111184653,1.6427813889347382,1.387643228332343,1.1856523905769025,1.2510934465143528,0.9613586748055432,0.9571354786761516,1.0032350810083224,0.7897047217318166,0.750669891761189,0.7648346793984059,0.7264590093912668,0.7248043285361405,0.727414532620495,0.796818463126355,0.8994888416467662,0.9153134569688796,0.8574019633925632,1.0051114938203218,1.1605437657952846,1.217917160156151,1.097104928965205,1.237526374440917,1.0004954349455546,1.0120387902780745,0.8842138545631986,1.3196499062008955,1.0151378380655989,1.1640999203309144,0.900302021824893,0.8542273613375037,0.9013727352991742,0.9776850019447547,0.9604505538953727,0.8737354092466322,1.0432544877568188,1.0654362838666485,0.9654572096246807,1.0613119931863544,1.2787625096502642,1.2271282284202683,1.0671165004289935,1.4796633732295201,1.0540006117764884,1.3780799042706455,1.0771800230268624,0.9526512873920433,1.0895561393518873,1.0210870404938501,1.200551338723595,1.2445172239672488,0.9781490246175512,0.925079181361885,1.0030949984747493,0.8269417395938523,0.8018387296450628,0.8254108677813734,0.7489676866018276,0.7918096133578146,0.7933724267221223,0.9378050193240546,0.8739788410457365,0.8865359785873842,0.8857287998689841,0.7939244910787518,0.8121642975817236,0.8293599755890515,0.8060110620906972,0.7858892170016935,0.779505675674896,0.8051449042978128,0.8362231764655031,0.7526869099274228,0.8441121294865278,1.0082422202504175,0.87801312783972,0.8697211370195115,1.1042937461040452,1.3580239011910789,1.2114819990754215,1.116538761651784,1.9803966516593976,1.892860887166801,1.5995847630666737,1.4851155132207416,1.0618046286497358,1.0062303760686957,1.3971492252806814,1.1236400764796957,1.2317533957715898,0.5658206926173117,0.6709969337247665,0.9261964860969216,1.1616697421414461,1.0995754773256472,0.8328935923644419,0.9646236347985019,0.8935206821813522,0.9557754580523669,0.8821641311847691,0.8285272145251178,0.8282831826858013,0.9752007991833819,0.8038030845207071,1.2650106551691485,1.122613034964381,1.3456909536413548,2.2183468009947673,3.4168067514523957],[0.8152065781263786,0.8638408807548834,1.2267450412342475,0.9165742795308724,1.4493653305169885,1.2025313006475402,1.276326163567648,1.3336121301614223,1.2358280848039087,1.287824500867303,1.2607198179203591,1.3220359528660197,1.4160939833050994,1.2664322823732919,1.351962741818728,1.451830369967606,1.4381537780129494,1.469342565950061,1.3966062759141713,1.5885241042736866,1.5800234403801767,1.752720478160525,1.7053828319021689,1.7268395917961874,1.802816633182835,1.6081798975230164,1.7416666676373083,1.5291188440526169,1.5302335045206468,1.5328945037001147,1.4933124844142498,1.518985186766527,1.53172292622215,1.5361339582175275,1.5644831613206618,1.5696988491191777,1.5815380035140945,1.6006072144777108,1.6026586785773504,1.8162689255392006,2.0232675099992763,1.853902831642085,1.780779357109099,1.6329012920494852,2.0559109090243495,2.37794840101939,2.4799718654907386,1.7431256990641233,1.5723276003679114,1.8459860190301876,1.5533723505699213,1.6363489361252541,1.7913908913559005,1.8184432160082749,2.2613945103499704,1.7151130512039996,1.6407756962314188,1.75319301112815,1.7561238265925976,1.7611039855453232,1.7110261138699598,1.7004902690324852,1.6173861981496962,1.7092304802714249,1.7587222605875925,1.6911470093705954,1.5097207688767962,1.5424890990088087,1.4226098866281043,1.3601127357206195,1.3668539222280278,1.3972275179188463,1.3379649465485766,1.4603282968906068,1.5861472437912032,1.8319151088884884,1.572743993364748,1.5773758436797682,1.594156468751503,1.6486745145788908,1.7107018748584282,1.7655617638718408,1.8069817793572907,1.84788033935299,1.838825774108504,1.717856398758676,1.7301166458209052,1.706240667320238,1.5995059707745503,1.6322327473388907,1.5293486931103253,1.7378076011392174,1.5911559064608491,1.4489356238194981,1.4326236393194969,1.3462497095654258,1.343942381109555,1.3952751312083813,1.3869781875010385,1.371745510795047,1.5086269613210423,1.5572915782572772,1.6216424292096596,1.6248044593699205,1.633868948048259,1.64177881178826,1.6305153441074018,1.5567090575898952,1.545137312293895,1.542963260872416,1.4699418803257571,1.5787713402430243,1.4621141706289913,1.5244050075304,1.5027131025009548,1.503743686789649,1.514619309979451,1.426499807308741,1.3823349580190063,1.4413740697461819,1.3469953946892217,1.2891791960334056,1.2557574657437531,1.2683238673953325,1.2903559618564018,1.5367085143818338,1.4708044381939087,1.6390101756500037,1.6933793929040724,1.7388574924598073,1.7469443696905993,1.6929288249898498,1.7069234787430376,1.6890278105447294,1.731244643377379,1.7028891417989303,1.728897854039981,1.6312159330421623,1.5843272111599445,1.64120643107591,1.4730677810147181,1.6012747397158869,1.5611646941759685,1.6025011361684809,1.7667192585131604,1.540915061314407,1.5229019606694487,1.5372490849932994,1.5660487069432842,1.4685429465499344,1.4502229880731865,1.3613220950474787,1.4773489466510965,1.5403383899578564,1.3540586509578063,1.4043601569173139,1.4335891518588613,1.5098915875760757,1.5682459826243385,1.6411953802874213,1.6655897372050257,1.6638275505497024,1.5818549301485416,1.63586861225549,1.759212068292271,1.7127948504748431,1.8197143090266814,1.969584021946254,1.9531436437490979,1.8435420301086185,1.778825492101832,1.6608591897793532,1.73984644263795,1.7239771739722167,1.7165112963327842,1.6873922352369666,1.6587799741382576,1.7035528810105935,1.7278861798913443,1.7918033655007113,1.8524743624750244,1.708964433592224,1.7380698468607316,1.7532851819441857,1.7940877067019836,1.9031948390865305,1.967614523993859,1.9614847830894866,2.327438725867263,2.0642639529885396,1.937525932714204,1.8015529198625797,1.7480131323659895,1.7098950310674743,1.703991816002545,1.8128045133923703,1.797969586323426,1.5950862370335785,1.4711122269834183,1.6388832911935338,1.2632422401476169,1.3192162865730104,1.4193924316300295,1.1192483274332128,0.9910239628143674,1.0668814461759508,0.953273528979804,0.7734103201980613,0.8234419968909524,0.8544349303944423,0.7892110616455118,0.7864561089705767,0.8333568213465723,0.9049519129407472,1.0056527742039856,1.0446075608153726,0.8802881808269837,0.9406274923620737,0.7267380374273664,0.753430378896996,0.7043932826299842,1.1699377857361082,0.9502761485974194,1.155932579792551,0.8660731306029311,0.8981969258605068,1.0369099449456611,1.050092098584306,0.963479700288147,0.941920809326515,1.2331784147167921,1.1210582704515397,1.0282263848810789,1.2203662695797632,1.4169232106947125,1.2547004601203002,1.1508599138351099,1.5987966084011165,1.2775086842375767,1.6442338910127134,1.3003890750806255,1.1988753981223859,1.3573118252303091,1.2380481859612276,1.4590728843486838,1.4985058330807437,1.1792778289823322,1.1662696146650728,1.243513527286609,1.0776428336604753,1.007301018086373,1.0339107880798093,0.9414762015302236,0.876241164533969,0.8707270982336743,0.988607802621219,0.8539678668002509,0.8340122555929744,0.8053549398371713,0.7879605880793077,0.9119656387363131,0.8960394767136967,0.744527860917879,0.7901072549366482,0.8642320673864828,0.7194154422230509,0.6986106484067255,0.8045342167413232,0.7579942094964084,0.8303580993191347,0.6556170710730344,0.8772553538698197,0.9115334371974265,1.1162030993944478,0.9406418372270293,0.770886516656186,1.5813213894311131,1.6885200794378554,1.2757035471672955,1.239910103672256,0.7740080446591914,0.8529359667670445,1.1990112848282943,0.7585029900917118,0.5983100600869331,0.7929444168625261,0.973188079640489,1.4347500992709257,1.5850308380720324,1.5806730808530531,1.2941957344354786,1.3715928793606706,1.2512316679941624,1.3136817084985122,1.2506926715883986,1.176321306197835,1.190417255722999,1.3170116482853,1.1246291412571447,1.5618894950724138,1.472447606530209,1.623333445863302,2.5024230178470273,3.8262250743576933],[1.081510907756304,1.1297005144691474,1.3611640207306808,0.9757478532482843,1.171090276627082,1.0519099875086648,0.9416660667157988,0.9649936670350254,0.9041434809885802,0.8164070291622946,0.7954950821362751,0.8758066619221666,0.8453046825857934,0.7213634696896079,0.7723212117925309,0.8375169754953958,0.8274828899188511,0.8157139968762654,0.7735121170280234,0.91183946109152,0.9408098532473336,1.1154426995486504,1.141757905649003,1.182965208326253,1.1941806001249426,0.9940332220062594,1.0774418704453936,0.8676183466567378,0.865260209806762,0.8865147830750622,0.8458228300032249,0.8982146450989661,0.9220383838939462,0.8814715818114508,0.9066033935901999,0.8912692934273202,0.9312239428185088,0.9816346649741896,0.986135846540092,1.1727286745377525,1.3294024170218193,1.206000760173304,1.1405210817589753,1.1335712210693052,1.4385445214131352,1.7054819663646101,1.9011983371010932,1.2139916510271518,1.116657979806091,1.3426441602054906,1.1690155323813114,1.2344213277708578,1.2418700770949291,1.2517107698755172,1.6486578118394992,1.1534411616837166,1.145816657815353,1.1367171743022364,1.1494734343767847,1.550961862899605,1.1091576576941133,1.0586826080619387,0.9522157101964827,1.0622767418642691,1.0981077494312483,1.0246311676607913,0.9278150584066666,0.8570333745470929,0.7862874926715301,0.7772038416938112,0.8952111548849943,0.994424429143143,0.7695005518189164,0.9092178445816872,0.921249835079006,1.2515568951623153,0.8815452865062935,0.8820737007354363,0.9147110371823973,0.9982964474606081,1.0348626222809003,1.1032745335425653,1.2297389224770345,1.2211430128445941,1.2154506496174258,1.05123120466337,1.0408969176808969,1.0272970324835606,0.9220113344316296,0.9602491169511088,0.8515521449793337,1.131321432576396,0.9782357520045281,0.8181864818922367,0.8238596416328732,0.7843923117028542,0.8552102378295509,0.8426457065792025,0.8665343323400669,0.9406238607615564,0.96363409659465,1.0850993200869632,1.0394850510427849,1.0856654996079735,1.122613778987899,1.0870745964835102,1.1569548289667186,1.0952979649272803,1.0874646601288338,1.0883665938873484,0.9994179663166928,1.0036010800224318,0.9443328783409657,0.9177576113869017,0.8576046272037807,0.8484941047024299,0.854229864926231,0.8296862384342703,0.8247501557905781,0.7825210858037603,0.7461654719404801,0.7250786379001772,0.7328110055404471,0.7303558126950764,0.790996768939127,0.8882563997221995,1.023530853044047,1.059623092458168,1.0969877789585334,1.1312825722828834,1.1862740350392216,1.1769322413625927,1.1415843003093045,1.098413987242039,1.1163632153203262,1.0554967672715743,1.0999336814733867,1.0582782232639176,0.9537613531406943,0.972585943362614,0.9888403764620431,1.17153719936703,0.9505883819112899,0.9418184159150598,1.062346867504815,0.951728480523316,0.9548377224298189,0.9504543576596741,0.9545272579690487,0.9521556288373588,0.9987775843892605,0.9862289037800646,1.1892936401778709,1.3797891542202148,1.070297048618511,0.9682989955492501,0.9342603970960702,1.0098075630829757,0.9823820304251635,1.0495598730766469,1.0240303353974147,1.0180141168621446,0.9840910891885307,1.036976536193145,1.1948934609299746,1.2949893738968385,1.3872230211177177,1.7520762457418833,1.672014766138617,1.4529837697726937,1.2556756665025464,1.109205850049549,1.1450932907292508,1.0660043606171423,1.0599281429960057,1.0580785575255158,1.0376187193574282,1.0950841905897375,1.0786046923906287,1.1361364207983002,1.2136776439327768,1.0819476095018468,1.145971584903814,1.2064828799470588,1.206276806808592,1.3036147621267142,1.348888372301552,1.3810961145483782,1.7683308033289278,1.6926233597855562,1.7026831756229293,1.338786217939986,1.39740481089444,1.298907023092124,1.269839625359044,1.4590144807064906,1.3792691340179775,1.2555299210173183,1.2022273683401772,1.3148735683533102,1.1614505054128579,1.1688909252918438,1.1788537012934952,1.12289934203786,1.1096159828631658,1.1172254266379014,1.1242071181100164,1.1023384416059214,1.0855369329035913,1.0982789017326395,1.1177894154326806,1.1221374024106097,1.1185368842315329,1.177330336773432,1.2193936727561918,1.2791782466927062,1.1951512793162853,1.1262604106782097,1.1161451747258417,1.110814320237597,1.1923511031711642,1.4814026841009158,1.4160347927316446,1.4378558475110739,1.174909083234119,1.1471634787420986,1.1462320379665247,1.1730675975927745,1.1981286613802742,1.1043686169879248,1.2735225333345679,1.261197413257661,1.2173488697256243,1.2602899765866076,1.375442684869586,1.343954655546576,1.2767046450725688,1.4478450585110352,1.1971926289757506,1.3971644747370693,1.161371772790779,1.152738843482997,1.2296702382641727,1.2251824266615985,1.3136598098238608,1.3324218003937192,1.1941178492743172,1.1350829107279266,1.1319273596685002,1.1220005700416558,1.1126251134810479,1.1012228461335514,1.084313021102454,1.112082083427201,1.1110028144303183,1.1902643162052513,1.1653881921704057,1.178896998056616,1.1485799360589075,1.104433218951039,1.1167568468465403,1.1647551739450455,1.113675897557817,1.128352269361616,1.1302869976168477,1.1192742228159185,1.1149262672150715,1.1139189489410002,1.1011612596376894,1.2300801565285995,1.0750380094226841,1.1812052357188818,1.2068946259199234,1.3007546178488472,1.159499249233337,1.0645967375778156,1.69149616540227,1.4203827436608971,1.2058446623838817,1.2033581782246032,1.1086856201499302,1.1438495949144827,1.2585530099821542,1.1042688031842705,1.0849744540044168,1.1059879078924797,1.1577422925397458,1.1852379828921227,1.2130529322530827,1.0987773739063498,1.0877086942021958,1.0899680402538308,1.102519498811808,1.0931548626197218,1.0082248371201394,1.1484116694378481,1.1570361835347815,1.1787958887534948,1.145557092326237,1.6504646643157375,1.6612626320152288,1.7716763218455387,2.565252623557565,4.168263120969832],[0.5896831187419697,0.611859230135324,0.827438484228982,0.47325597532064906,0.6344274132162256,0.6952539774052084,0.6141744898966546,0.5941683962547832,0.6324000797677889,0.5854336864017985,0.5778083433508656,0.6266667945893482,0.612435583534343,0.5628559150719152,0.6220016340296232,0.6363511612452396,0.677630828707124,0.6928524218578018,0.6879017961001321,0.8024702521026916,0.8603129281317654,1.0076230717382688,1.0465112343181262,1.100265688398626,1.12559955082829,0.9445787689255145,0.9808735186049342,0.7539595274082189,0.7148735789726258,0.6728023544020241,0.671992207895271,0.6498800539935984,0.6517751023944368,0.6616127461091873,0.6752191071278222,0.699132697145828,0.6915897306985288,0.7882490463777392,0.8027294265553898,0.9435772758853352,1.2149902294865718,1.0856536574541993,0.9958536107552406,0.9523653196858142,1.372501578902452,1.6755881823788932,1.816284916642926,1.058368650070427,0.9095076732637215,1.1762714290913097,0.971111462262182,1.0293564606232894,1.022532964149861,1.0539786097420052,1.5108960569221688,0.9495037187571507,0.9625056589885227,0.9717208279218089,0.9847574371348342,1.4033703787171885,0.9694779586532009,0.9052529219027432,0.7889423839444221,0.9608848224728561,0.9765333061199615,0.8916979654351597,0.8170194313792246,0.7491342327402262,0.7407554972444907,0.7107435234964974,0.8763468145398905,1.0041455029805504,0.7316234048873889,0.8681738235570596,0.8388663267848802,1.2240605872784847,0.7434034726421064,0.7055176407598696,0.7192571432099101,0.8176101978107156,0.7961820814336485,0.8663772201647848,1.0418166056580316,0.9049388683240327,0.9833875644941528,0.8186644580055429,0.8350278180123774,0.7854484823208706,0.732098246763044,0.7710708058635057,0.6868966289162759,1.023164964224026,0.8434027873151007,0.6266196645437152,0.6268608688085966,0.611107936489106,0.7038678563531321,0.5867007556469818,0.5810081031163287,0.6359981652974537,0.6477005931263368,0.712759812589233,0.6853367562637915,0.6905098738984231,0.8612206119868347,0.693377993975802,0.7577118349467326,0.6751151676517049,0.6094308214539418,0.6847692172207973,0.5395297404741034,0.616636764860863,0.6034519349086549,0.6644120745555482,0.6568295641777155,0.7347817725775558,0.7656464013718969,0.7877537490474944,0.7799233554888029,0.7063917596305563,0.6806489837344217,0.6323086834950714,0.6804632569356833,0.6221814934399464,0.5812382419661617,0.6588350904050938,0.6519785554113963,0.7244445229116125,0.6847507839557764,0.7372921560880159,0.8036415026430453,0.7822352811315862,0.7766373356334864,0.7197906578693354,0.778852855843564,0.7641438500948988,0.8018651057536704,0.8834860707006532,0.8465823134618692,0.8696143861191762,0.9994538814532102,1.156484637289595,0.8643307599188905,0.8211651306770759,0.9117967932144974,0.7872267486932298,0.7829603695424496,0.7430245761565222,0.6462266303558752,0.6524490791014099,0.6213351217498687,0.6403063872710725,0.8328071055810521,1.2151177720581459,0.8955558585734457,0.6097586776372173,0.5929574960489623,0.6313338005244862,0.6398799048293647,0.6755382721342713,0.7259103462953365,0.7744901738210292,0.777862360066769,0.8138149472683681,0.9591756358968747,1.0595599169749,1.1824501643828078,1.594521900717055,1.4955307622437866,1.3359401775933901,1.0426561206896898,0.9103197827351283,0.9004964829592045,0.7742837816220338,0.763022101135813,0.7321103512599418,0.7237043591316158,0.7745077145027388,0.7797746483505372,0.7732825662904808,0.9700092966195494,0.7271536294515657,0.8116252319425123,0.9039396714972575,0.9088836741310412,1.064009708202841,1.1363209082680155,1.2186199000600413,1.7340878974597076,1.4790118856570094,1.4990510735852334,1.1172899061904424,1.1361617132627544,1.0339996160594307,0.9527538509849356,1.1040977073795493,1.047109345914622,0.878432370921091,0.7863542283510778,0.9081254230073731,0.6707892686226081,0.6448379303253186,0.645519108694256,0.6104092108620034,0.607832431574975,0.5953393067342004,0.6228521243801702,0.6370882546137735,0.6277037598045783,0.703629242636026,0.7682706703455697,0.7975632631756296,0.8076555516423883,0.9448596507159924,1.0782141047727014,1.1794454653169717,0.8861610295440755,0.9242332523136763,0.7727770304004189,0.8045867324682878,0.7622871247032873,1.2378717712731315,1.013213910735829,1.3674375221817512,0.8626790151302798,0.7712696612192046,0.7367663934294664,0.7769344790932642,0.855333607071123,0.714277775974179,0.8364377560178825,0.9119753541375046,0.8804316051914338,0.8756455512522217,1.0738227704207417,1.108232492407642,1.006556769876962,1.1982551164291226,0.7995710759518972,0.9614531163601073,0.7297511235091709,0.7105619815963593,0.7909225438473189,0.8242682084520911,0.9081112216451557,0.8665699153165725,0.769192797243236,0.7033988972997055,0.7485117299562158,0.6434279190743861,0.6675523919739204,0.7580344012810148,0.6393357396829966,0.6628945068556956,0.7085393246806728,0.8420625758101798,0.753164308554793,0.7473127601915288,0.7342824757110893,0.6930680453227133,0.6668374724571922,0.7035167865853964,0.7074749867870993,0.6794937004557854,0.682864053967143,0.7219025882914532,0.7353987132238694,0.7074373116426934,0.7871585308573691,0.9169403942853808,0.7641855202575524,0.8710255862814361,1.019949311143639,1.2159131354176729,1.0710314916688108,0.8413467666098104,1.388966591830455,1.2099318276028752,1.0359623649484901,1.0219435204589988,0.859216679955327,0.9099197615420535,1.1759201328767142,0.7142186080569638,0.7262228426556105,0.7421902898277726,0.7337174528885666,0.6479410761691654,0.7190302214004551,0.5941090426644879,0.555735936181637,0.5937617191391673,0.5624529767479188,0.7939828557064778,0.5853181496201355,0.48568159106004793,0.48088957595426046,0.8168675224988292,0.544573860238998,1.0410396975397698,1.0195278404591177,1.1594552901510382,1.5206209172498593,2.8613271884817997],[0.5047322735623023,0.5457165328754421,0.7085681070774716,0.4816678476021891,0.6990700616728242,0.6218300783662549,0.5280911651797637,0.542421862336378,0.5221240544765747,0.4253610180621578,0.4118952048040364,0.5063270046158695,0.44676975773384153,0.3702742692628889,0.42728543978884637,0.4360693106917035,0.4647824246023084,0.4805850384166237,0.5110933347605662,0.5883768627974638,0.6409891069604122,0.7831219874887293,0.8619289594527204,0.9412946271409567,0.9273049377042419,0.7379202975761049,0.7728859945092131,0.5495653426553487,0.5027789951486745,0.490490479814347,0.44253207420173524,0.49178640243473004,0.4833348188031928,0.4892224895753289,0.4893529024597602,0.5176928158064702,0.5192782292902763,0.5932395124938386,0.5911134420420328,0.7386416983646361,1.0215423983696332,0.873422343846393,0.7725412555419435,0.75293598402614,1.215918983239904,1.4979193834245805,1.6786173853720534,0.9175462201550856,0.7634669976806775,1.0666057962261943,0.8553147038091886,0.9561381920677661,0.8379631587651584,0.8609855721446413,1.3568596357220262,0.7493908318748413,0.7913894602932737,0.7845110487806836,0.7797134266956003,1.352982196632165,0.7595515842894132,0.7173185376193283,0.6001300133601332,0.7835624797732131,0.7686298498971283,0.6700882552991639,0.6552093999844711,0.539978862349569,0.604726482842019,0.5908520897010169,0.7894639587574769,0.9604475476936306,0.6527618564326096,0.7895192874452119,0.6287109573299189,1.0469092908814188,0.5411695389557087,0.5139191202497521,0.5235987721240278,0.5993992908472039,0.6165639272380519,0.6863936687294394,0.9514506650303938,0.742155340547454,0.8190653929086775,0.6332813213282732,0.6265949826718609,0.6402037240642758,0.5231688922471464,0.5636541027329793,0.4920961325113877,0.780374076548117,0.6093966832166928,0.4231914295485269,0.4258452519608152,0.4420621371950288,0.5529574563813011,0.4446747168482923,0.4547106786048306,0.5898078912026042,0.5299146890038082,0.668376324582038,0.5704621204169312,0.6451714535784409,0.8720539688487339,0.7009832999310893,0.8244994459147061,0.7336923463225667,0.7001375161433968,0.75543507355627,0.6253056881218566,0.5794069916060892,0.5179289289319209,0.5350314310961944,0.48765434665793894,0.5927035956087913,0.5846664645969245,0.6080617106035939,0.6136844901145126,0.5236381790330659,0.5217793924253452,0.4857549624026453,0.5282543173820138,0.4219846737806977,0.4280094394772742,0.5701644707824296,0.6143773398810828,0.6982283688214515,0.7251993742361987,0.7478432181694342,0.8288566443609604,0.826462027425043,0.7732116265978517,0.7206010244846638,0.7321331900041513,0.6902291312701077,0.7692954969362099,0.749073812090487,0.7099422787213804,0.7241885977491548,0.8241543663141851,0.9861090560393293,0.6658221064964677,0.613640081525863,0.6799449288165698,0.5775170241053971,0.5741543629985292,0.5639808162771324,0.5135294281475753,0.5509080220491729,0.5963337144048808,0.5962084711024314,0.8375914197636157,1.3393348045125055,0.9435949268055244,0.5716259757757971,0.5105843984955536,0.5799056552469333,0.5251821896745109,0.5969607077270502,0.5927422736861386,0.5901101601010594,0.5886859439866589,0.6253502329564401,0.7889433041077409,0.9321344470687287,1.04271436538349,1.4814612259226547,1.41261357457596,1.1894840292686895,0.9332320750389248,0.7439654422556535,0.7537794489780121,0.6458718927116052,0.624782978891664,0.6275829543149931,0.5839171961469336,0.6807381049996046,0.65186073630727,0.6756212072401879,0.9135673603834225,0.6658093997740927,0.7597500075299536,0.8307975264017913,0.8015842480887112,0.9175008165688727,0.9484446458929687,1.0713907428160265,1.6305188573119866,1.3622686646528677,1.4171387603684804,1.008691122650901,1.0755085103410582,1.0009056910995908,0.9499595392771958,1.1376145801677842,1.0567453056906915,0.9031368442203471,0.8539155517274454,0.9798998490674031,0.7887895927406494,0.7892201199822624,0.7944334273253149,0.7544936471941001,0.7500412007177304,0.7586803979270371,0.7802131793462611,0.764657608631027,0.7811458908135329,0.8352555974767896,0.8598727537961065,0.9104006425222089,0.9479966420502485,1.0525869531470715,1.1479125811364923,1.1869796071757905,0.9984023839196624,0.9335820636564821,0.8435952988974249,0.8733482361499527,0.8553465891763251,1.2806702031695771,1.083594720396955,1.412418907589692,0.9339302459045741,0.8809881953949954,0.8313926430044195,0.8529769845973826,0.9783399157155268,0.820064683810834,0.9209239163248343,0.9571365817195041,0.9630866137918841,0.9517749329884807,1.1164606909335866,1.1747302199098386,1.0679090969141665,1.2389613017417873,0.894426818861683,1.0018864623771575,0.790279789406837,0.7964516989243392,0.8509438219849528,0.943169104182205,0.9916898871881413,0.9484154982897659,0.9102604450886411,0.8519050412572072,0.8811292034902277,0.826612076824256,0.8619942977478287,0.9689447463917586,0.8462548090593558,0.8472950636098451,0.8928929519546331,0.9867374323224326,0.874912068415265,0.8692090209868767,0.8538301586293642,0.8213629229183131,0.7882374576057309,0.8116221646337283,0.8338985292505088,0.7923521424924093,0.776804359390464,0.8201172534131229,0.8273963647417527,0.8064203106899468,0.8380803865119298,0.9884121680572473,0.8274047951207689,0.9205024880515474,0.9997074974303545,1.1570249982383582,1.0217910130534285,0.8400409566979024,1.3128115322425538,1.1290072275275118,1.0588291348153884,0.9510010575057205,0.8877246120536076,0.9504782722046553,0.9905830683370502,0.7479323083233897,0.8107085725327596,0.8034991243409634,0.8361955736421043,0.8366673629673407,0.8296949634017418,0.7113698434543229,0.7468076430475448,0.752681012627051,0.7576736321676357,1.0502741127855235,0.7445275387519457,0.6017909806823452,0.5348410333294823,0.9222954060929474,0.5276806051945468,0.9915516480563469,1.2897287962877635,1.27749766921042,1.925587664440158,3.417841744289076],[0.4415379054326906,0.42004812502826944,0.4685015950727311,0.2373502030273659,0.5061046845094986,0.494944510690485,0.430831762242944,0.45328189442199657,0.4469945406213663,0.39519387897539576,0.38384084088491766,0.4807817369286358,0.4266047620896996,0.3974656312635344,0.43536561741813457,0.43124375963945255,0.4907772630333109,0.5229090895919956,0.5887729097560046,0.6641376926623374,0.6822701238859478,0.8114192755406138,0.8690853858466572,0.951103457433713,0.9488624523761514,0.7827214426721372,0.8234245266282971,0.6311095495885196,0.5488437190767578,0.5242184201960517,0.4818086433889145,0.5384791657402601,0.5334993745918869,0.530869468290373,0.5493629090114434,0.5593572721514916,0.5622386757704232,0.6301059551160237,0.6228658247186134,0.7122357615482146,1.0880459686633441,0.9022623487375726,0.7821166404826894,0.7229655096466021,1.1946614171176075,1.5099626267606305,1.6485447075298985,0.8798886894358363,0.7368640039564947,1.057653359498111,0.8267738871304419,0.9512058121022646,0.7853144319224129,0.8053443943731445,1.341677321414607,0.7507848892004422,0.7814047803301213,0.7496042638843006,0.7551014034516902,1.332433210521314,0.749871575425358,0.7538743484647704,0.6732238005717477,0.8208815495102895,0.8064371207610295,0.7192807075409682,0.6878279748475603,0.5965175078918258,0.6503371591982741,0.6072795753709471,0.8081954858727588,0.9919591761518647,0.6596544389666306,0.8066251408418441,0.6772348502598206,1.0569451805677328,0.5933809939501515,0.5729825930844311,0.5757815818640311,0.6290643076434804,0.6306744950469503,0.6961389611988797,0.9802400599599327,0.6551832170355804,0.8076299236818338,0.6428441236458001,0.6616120481415757,0.6757439024051737,0.5753627489339653,0.6015035208995863,0.5101278418241542,0.7174670182872105,0.566818093414467,0.4478668535571297,0.447049604854685,0.44717276873372175,0.5457228453188226,0.4781576115148246,0.46694057964031516,0.61696177497766,0.49540122034694983,0.5948959207007094,0.5271405366704487,0.5776513214360318,0.836878233704581,0.672899916030981,0.8059849343777908,0.7162373258219371,0.6782518172239521,0.7497583137760113,0.6371768179302542,0.5763240439561886,0.4897914691588529,0.5348557213063116,0.5231717601357265,0.6849676978831438,0.662082314198643,0.6786731208970096,0.6571781789391051,0.5961920163026198,0.5678606533495935,0.5434580250372225,0.5809446256003066,0.47653935319496243,0.45733412032315546,0.6467109815562059,0.5429312344435256,0.6176752694589028,0.7262133276735826,0.7265188865909107,0.8206958821175075,0.8302668630969081,0.7711406680320448,0.7192738991129559,0.7021675095064744,0.6614997358589119,0.7595385607134864,0.7442550689332366,0.791655839233053,0.8280064728791615,0.8683443879390744,0.9676176698981921,0.7256615615819537,0.6816039783117864,0.7331830402256526,0.5898107216498982,0.5837429695941375,0.5622374717739214,0.5002482186887528,0.4881201208044567,0.5168120664436152,0.5275240184922579,0.740866315686909,1.3521672410854566,0.9959568741146759,0.5311593726556143,0.47913283020954567,0.5079685495011445,0.5131429634355863,0.5578469094785805,0.5843494634463758,0.5912271749744801,0.5884887296572439,0.6065725848857946,0.6957066895732635,0.9026458485404887,0.8879478941213282,1.3033461385118106,1.2734316517369413,1.0957873364929942,0.8233241363075682,0.6864234342873812,0.6920508790208785,0.6291066707459132,0.5966993485915462,0.6002451983692298,0.5611150961192187,0.6518752966555806,0.6223196521558505,0.6491404465108087,0.9038360837104309,0.6407799075434378,0.7160056689073783,0.7847685803808401,0.7593994113781354,0.8486067279230699,0.8724825748517284,1.0367803130813757,1.6275227800647616,1.1927109777517497,1.2455844478081715,0.9886653303308188,1.0036701215376087,0.9565437382868547,0.9082840895397359,1.0380092853096194,1.048135087509348,0.8722524567792677,0.8157967605963562,0.9853100459804455,0.7563444629812843,0.7659300533662418,0.7731237601476567,0.7141165009554131,0.6954196742054507,0.7119257408343335,0.709396562539127,0.6753091937201772,0.7103754981690791,0.7555326174937286,0.7620450985093683,0.8064381695356285,0.8649792138126852,0.955636177277489,1.0458318071132724,1.0806861157258927,0.8576008087181185,0.8379992798217918,0.7252464953270114,0.7752069584734387,0.7118622989379784,1.2392469391293743,0.9392134718343305,1.4371305910864363,0.8548495587607324,0.7978965863196773,0.7913221301963049,0.7919324510924476,0.8662438049138106,0.7538882354160613,0.8611554232867165,0.8990120318825685,0.8824777458990464,0.8856423623419051,1.0794860615831439,1.0366406389751597,0.9783224531734009,1.1489378169597173,0.8198834224197926,0.9692003062843549,0.7831006823841979,0.8006839613187459,0.8912181600487281,0.9471080206516187,0.982908327958777,0.9155966569718649,0.853079614477454,0.8532454512598479,0.8810139429404565,0.7832230786854939,0.8363221999666873,0.9689768459256589,0.7823363226034533,0.7545775005853651,0.830653432967492,0.939948175706696,0.7707227727135683,0.7607647414223614,0.7575712943970482,0.7385363444876454,0.7335430275595821,0.7289970898497522,0.7376750451730192,0.7086445449950054,0.6955702382232967,0.7078277982367733,0.7187779269150644,0.7245395270208368,0.7422618806435582,0.8686347790999893,0.7252239779014993,0.8273815632181442,0.9174066183927622,1.1087131864325561,0.9930442539341885,0.7867191591746474,1.186507661480087,1.1210776119397468,0.979274069562379,0.873182040376033,0.8135691465253517,0.8350239724728932,0.9223929406076766,0.6434938413041085,0.7323215924694952,0.8089677956340061,0.8132696554287077,0.805890370904675,0.7840361477588714,0.6850913636535406,0.7056479267121555,0.7799407733951397,0.7612850618750716,1.166032806129463,0.7803533356988223,0.5159960406269671,0.41517110218333575,0.8813666716423194,0.33133103961273935,0.77509440647553,0.9577561268554755,1.1503223535261902,1.492026933316803,2.397431344407413],[0.9078072598905436,0.907171440875564,1.1076041452645315,0.8678318169457291,0.8265303093786083,1.1103279073833814,0.9576525964360026,0.9205517304724776,0.9392329146970129,0.7446120758074667,0.7200600269682315,0.8454696188478972,0.645181053314363,0.5939921614959397,0.6286545967820483,0.6014440537831889,0.5858913019240253,0.5361233148844152,0.559497525175882,0.5712722453302065,0.6702887769773013,0.7944305983660351,0.9287643017632246,1.0050332065837868,0.9521208752818432,0.7609581408918047,0.7295477572295126,0.5187265576078968,0.5416099957225388,0.5738717119495897,0.5873311801817339,0.6255893770217178,0.6542657418604436,0.5961315740764205,0.567869381892091,0.5402037774262725,0.5848522122801372,0.6178230714556012,0.5476945766002843,0.6218113401974803,0.9160133587458137,0.8246849456595038,0.736081038628018,0.7549949753742731,1.2577977676949457,1.5225650455916306,1.7491725311510093,0.9672962002898782,0.7981664367583562,1.1028075555083034,0.8870276026768744,1.0673942160011194,0.8063313943933187,0.800861692852328,1.1681179355011762,0.7434878810019997,0.8285752309951281,0.7187056411698478,0.7556441144592057,1.4731305861263964,0.848569659127793,0.773535014295606,0.6365340925800936,0.8094682740062208,0.8070435936601645,0.6695941017932588,0.6974000762225004,0.5637526902741038,0.6299237606191918,0.6854485157258942,0.79883344787195,0.9704638291459751,0.7084748068324279,0.8129482622986257,0.6472258713607316,1.0845799558845794,0.5462945306466714,0.5488554999589422,0.5603309554671598,0.590020426293485,0.5580733284982491,0.5699314094370489,0.9006473023767363,0.6529078501774782,0.6740849597804905,0.5578143658285238,0.5487737430794084,0.6189113081931051,0.5180312405733443,0.5984706661764094,0.5857289789056034,0.9153941090403462,0.7553390902784051,0.5945028700665871,0.6199730343536702,0.7011880148397098,0.7582118680210999,0.6963425105858588,0.7223408335373237,0.8592965477787913,0.6980843431484316,0.8417550132425821,0.6881151953773542,0.7679400788977171,0.8406948964115325,0.7256378190962574,0.777014662354763,0.7504797971430144,0.7562758971807978,0.9009504468335128,0.787750185623539,0.7021390092460515,0.7781003289475495,0.6626230450574335,0.5731607827422531,0.5395123123410064,0.5139499230451156,0.588877637115611,0.6618394306485481,0.5114916949694293,0.5483203847291412,0.5734825407320723,0.5618350616816221,0.5764773576877776,0.7421310741906956,0.616083838015242,0.9190116993619712,0.7221325602211268,0.6574001174383253,0.635721387068129,0.6813720808823549,0.6652962457967434,0.6310676461200134,0.6447799621182401,0.5926017657031509,0.5963374428309809,0.6924722618226754,0.5529067934469442,0.6437685275898365,0.5954544222502667,0.8812842413803539,1.0667543143005969,0.6731937023889852,0.5559299824776364,0.5910433317550695,0.5993390088428355,0.6198320985668841,0.6861459861095568,0.6699760521443212,0.8207601548726158,0.8569260578029251,0.9723733516411257,1.1051084563615565,1.4780452031544247,1.1779466111162302,0.8477705304225217,0.762108828289263,0.7964555175179037,0.6748068605375489,0.7009495556484171,0.6168693724876738,0.593524238295465,0.6000306339029465,0.6186980689643788,0.6782139520090904,0.8986972535323299,0.8913711805431282,1.3765828583957471,1.2268353123538853,0.998935179838647,0.7346847371942997,0.6248898804586945,0.6374841243419751,0.5962603254043852,0.5984746305209582,0.6321766781679213,0.6530758009436385,0.6802322555685532,0.6639124194491555,0.6110066636342996,0.9200806589313154,0.6233717189421413,0.6453133380813284,0.7076147985573878,0.6488854570723367,0.7639617524644139,0.799827914681611,0.982220056974415,1.637060535100356,1.2532257532739366,1.336479769254333,0.9479119959961407,0.9734076075808965,0.8829226996284654,0.7941617001015331,0.9345099678789889,1.0121986292340357,0.8980473960585834,0.8452932265965595,0.8604913104157422,0.8045078465810145,0.7936448305225543,0.7591071840753947,0.8369327585531507,0.8875220690658036,0.921496315446249,0.9506376825784205,0.9773150122217739,0.9818085602777225,1.0700146269350599,1.1080630773792683,1.1238959268985718,1.1609469187650732,1.2580283275372068,1.3318348202720416,1.4112852936636073,1.1184646302720958,1.1112340670522274,1.0224442233978508,1.0462273520261636,0.9532827800979592,1.3546533837395682,1.1440875116639877,1.5547011102542807,1.0842483726596233,0.9634577172288595,0.9534948103199127,0.9411555076178865,0.9797814417042099,0.8932754782375671,0.9057793065511776,1.0096145944768815,0.9937028198315921,0.9170857943632293,1.0515292229192539,1.1423353546741737,1.0393950828120255,1.1746221747401222,0.8691589368216089,0.9364577950245029,0.8726575868699422,0.9232710421335985,0.9836282601409023,1.015024360073547,1.05394482996213,0.9800429297750272,0.9821062280247008,0.964883500412136,0.9912643756340547,0.9410855683053961,1.0127882319883834,1.1291058981940505,1.0252249372663353,1.0239418601010757,1.100811684436909,1.2393743318770152,1.0969921346947282,1.079473560548892,1.0509434781049303,0.9966309938366493,0.9508065656482454,0.9510775441089085,0.97688778690911,0.9671903291612487,0.9268179769768927,0.9530656065334592,0.9833230090757935,0.920312862789205,0.97298432040317,1.0800502563173004,0.982035228086969,1.0282606264447975,1.1783620464678264,1.3285402078517572,1.2173498343304092,1.0061796128081122,1.5711891535519953,1.287244273354415,1.134864873635475,1.1645813565664203,1.1334568695646317,1.2188960205370776,1.3787235192750824,0.9676401730671836,0.8538190396900125,0.8872366191641087,0.8707947968928518,0.8067414556243608,0.7488995946249751,0.7733839746848116,0.81846578290323,0.8484333971071262,0.9082040996720365,1.1796722625256382,0.9740376884562225,0.8711993666245926,0.9116832019863033,1.207057012038597,0.9605279123572503,1.1936576743611067,1.055465221187862,1.7641874163966254,1.693018305725457,1.9924935209863202],[0.5446826953262254,0.5298678486855585,0.6886179049791781,0.4513963064575996,0.5562061059455339,0.5636019993537638,0.4828992849215454,0.49989847578286034,0.5574893307509423,0.4932402864714125,0.502912961938766,0.570869221333168,0.4892100230729304,0.4803869676584291,0.542195063144286,0.5276203528166964,0.535380985828979,0.5450498011235887,0.6048588045702485,0.6359519028608484,0.6867757425684293,0.7980807957067662,0.8901529674204209,0.9482488293999306,0.9236343013122482,0.765800871393411,0.7949859506012946,0.563382407098228,0.5395744252687646,0.47965549090014864,0.5226187211086454,0.5254588458509304,0.5437052299111758,0.5294784234247515,0.5114467805054194,0.5417231617674787,0.49625238467568716,0.577255599864609,0.569781700478181,0.6725889079583621,0.9562406514568038,0.8518936072844646,0.7673911257521888,0.7533371500704298,1.2573335688440257,1.446127345569443,1.661978796641267,0.9949498120612593,0.7836486593811113,1.0891017768925442,0.8722825746560663,1.0740906676498532,0.7629100898386411,0.7932168825572067,1.2042761118064909,0.6929333446281837,0.7662803942241981,0.7415581428830852,0.7411409102192082,1.4509898613993437,0.7982644657395507,0.7864950775916084,0.6705451982849888,0.8841999503638889,0.8106983483150298,0.7059398623716457,0.734641496435945,0.6025578075688098,0.6693720549245582,0.6955572851877436,0.813649476403731,1.0399507710781302,0.7293432055954079,0.8846573444477532,0.6437152021266486,1.1741634198308994,0.5892597791742452,0.5815671553173368,0.560813835564619,0.6259886080432598,0.5650147416525072,0.6462855950498839,0.9323959089944442,0.6638784351720567,0.8006006194590427,0.554796402561563,0.6092539030224331,0.6258142884950753,0.5558819298742005,0.5821597096524074,0.5773339831490545,0.8905409061205032,0.7321996119605577,0.5400334536867897,0.5483229632878771,0.629219960155124,0.7301267754101819,0.5478091173921344,0.5111641742458771,0.6199472753024886,0.49950284782062343,0.5835906810444963,0.5224257246522751,0.5487630153825598,0.6304411904990398,0.590782106454929,0.6534894834634877,0.5875566295730177,0.5788995616186241,0.6749868227935514,0.5473078987584599,0.5350308651818126,0.4901566286372055,0.4843786949273725,0.5718125095172558,0.7648165084084546,0.6337515515357783,0.6525493266817125,0.6911732338119841,0.5642439479753755,0.5906597653147269,0.5754300659316235,0.6023110901153884,0.48170855280479713,0.4628967360906686,0.4868879317493711,0.5160294529363871,0.5355158075274125,0.6481215251487557,0.710002925122374,0.8072429311492746,0.7794414111067093,0.7152256627215429,0.6950398451524713,0.6745518982733436,0.6860730448901111,0.786972962878174,0.6698978889103571,0.866959977809218,0.8402607918028547,0.9731604801162704,1.127822288665486,0.7262961029650938,0.6093201273352989,0.604884922262259,0.5030318886648779,0.49758794594818434,0.48760211483286314,0.488835956886213,0.5052780040491217,0.5283023847361928,0.6064121879427233,0.7716290878630896,1.3325871502211444,0.9949721255859009,0.5347816388021015,0.4983227933704733,0.5162888854252321,0.49498124129787785,0.5238703130087232,0.5226220537794947,0.5256533553144154,0.5567791424675584,0.5916576676619971,0.7110352403805155,0.8807942734812143,0.9008440565902576,1.3713823756551289,1.2292398806053495,0.9786428591167377,0.7795168429903163,0.6327315059966293,0.6236027331800237,0.6132663137179831,0.5696058265499228,0.5127601144210091,0.5071477148705751,0.55912818853354,0.610320983111151,0.5916429980511098,0.9929938216500237,0.5790032681799827,0.6733277832184101,0.7605667208146791,0.7212232179929938,0.8599742071907018,0.861181105318347,1.0598874908609783,1.6865729195741848,1.2511828586750025,1.3521887643475745,1.0606698626338975,0.9734453043391812,0.9142369355827275,0.8574718410847614,1.0311043388376218,1.1429195146517177,1.0055283810189588,0.8653981057135685,1.0199124131001818,0.7622168251867462,0.7261386146691311,0.7160899590942464,0.6739176243717254,0.6509858093426656,0.6375362277291492,0.6497738885886529,0.6285601841619868,0.6049869282107988,0.6587877722157699,0.6928742983494592,0.7204722944691165,0.7663520988429935,0.8773485431722612,0.9930965000351738,1.0500239292525206,0.8279488842705655,0.8249782583598468,0.7107677908116828,0.708136828260787,0.7239514571402628,1.231122901492888,0.9504847481853245,1.3604455166505376,0.8530199405651302,0.7839441575967978,0.7858615062611938,0.8427002832140889,0.8622804034244939,0.7507863340418601,0.9007021402208918,0.9936325912013803,0.9316888700888201,0.9215695092923861,1.1743983619253862,1.1552073016965816,1.044588088176558,1.2258457280058548,0.8606161341419417,1.1001012148808014,0.8704597662184522,0.8132507285629622,0.9164790949858328,0.8900010037072671,0.9930703475411455,0.8952727837456705,0.7687552184763197,0.750469545978609,0.7817235679926726,0.674541162397454,0.6885368789519214,0.8092286466122414,0.6444447635382282,0.6341498223022983,0.6969533118001945,0.8113818109753461,0.6870064071826392,0.6801906440786238,0.6636635233245818,0.6480854912164836,0.6644341097056545,0.7230185585320869,0.6679385010163778,0.6445589501432494,0.7019940346270501,0.7061953237992559,0.701403304888992,0.7253676506579461,0.7962975080158379,0.9153440054195768,0.7606432504246111,0.9154752426561583,1.0353672136469434,1.1755362782568082,1.038090956919918,0.8158034680101208,1.4568101461491818,1.1873918133124555,0.9657820681592877,0.8999174653993881,0.802710677235938,0.8032088967563643,0.9941324691048093,0.6545900561845641,0.714067514674426,0.7627830802599408,0.7701009191970544,0.7180759765660255,0.7740760521183133,0.6535990512576364,0.6096880967130777,0.6738940927473225,0.6448790181497941,1.0733725927490858,0.6693308375521453,0.5402797408904192,0.548716571631502,0.8962651376701899,0.502009971826933,0.8720760759555899,0.8660898891492853,1.472095247559284,1.635854677060882,1.998953964086092],[0.5537255549331722,0.5351666367986319,0.7166189341064014,0.45334589858032753,0.5303566703895587,0.6728645228092747,0.6451091167513074,0.6674122987869525,0.7405373389380414,0.7003663035551783,0.7049248686937902,0.7543016119378497,0.6621689555977456,0.6742032335839543,0.7279477205755382,0.6820144574260018,0.6812447900929888,0.6591210151291361,0.6783473127796205,0.6284170027480027,0.6929839616417672,0.7293558629946961,0.8675881983677305,0.9041907223831014,0.7962404902294619,0.6987636333944883,0.6517777223844006,0.6294118327538547,0.6516689858647089,0.6410758032587566,0.676360470601899,0.6669177399984254,0.7057624657653309,0.6674040920737515,0.6314816539116552,0.6190460738320098,0.6401946471487249,0.7204873221581677,0.6137696793567669,0.6362091192085838,0.7122006806358306,0.7066903207068809,0.6890142170137532,0.7997019916580241,1.1050622333728441,1.2688078414029456,1.5298721603696357,1.0088280232570161,1.025557606257123,1.12256072176918,1.0093078884769442,1.3938550045657623,0.885789065350854,0.8485703410244619,1.0278820898412444,0.8432441891407456,0.8999033979885893,0.7574010275447874,0.864484405357898,1.7581140616855442,0.9297582074988723,0.8540905731081172,0.7148541612420205,0.8844161917503041,0.7942437663022843,0.7016617625763372,0.8234765645024025,0.6454221397198118,0.7424906879631392,0.8247476953595638,0.9035303019365148,1.1374130801389257,0.8651254809601706,1.0171909219174102,0.653922901349587,1.1491887890791244,0.6189508645707149,0.6416632188015982,0.6519745272040386,0.7216592276749857,0.6429167692355894,0.6168865859466525,0.9741696821158332,0.7516658442510701,0.7831372359309067,0.62617886586656,0.6216407125265341,0.6677662546548347,0.6294833257204007,0.6619916828984319,0.6781178455132566,0.9496804658584885,0.8477369743105416,0.7105812621517366,0.7238428833910986,0.8199906756020247,0.889019887761319,0.717937891205334,0.6906425304905753,0.764424348736355,0.62939405188952,0.6959464789461494,0.6168923393884538,0.6538298742572836,0.7683502189655159,0.598786459975753,0.6449708660833255,0.6193658465208496,0.578019687872886,0.7101196086936091,0.5492746993873477,0.5591779800115111,0.617726337660629,0.6009573515285982,0.6576954605583849,0.7011142670537232,0.6174613868894863,0.6497023131207718,0.7718580498926026,0.6435835335765828,0.6860981341483321,0.7321113943326732,0.7140861261662262,0.6732378192968996,0.660623582636873,0.5644035516651293,0.638395110390977,0.5674594633500809,0.5503874641210637,0.6080698977770939,0.6578990811772881,0.6314803364829903,0.6303889108923051,0.6484956154254418,0.6083937849748604,0.6177418627530272,0.7083335248597891,0.5988928083035525,0.7156347403039519,0.664666807937388,0.8324770292469109,1.1045984738392998,0.7745068553349403,0.6455622079272303,0.6580650093393584,0.7035518481528672,0.6915757221103673,0.6969755016557115,0.6238572148215173,0.7075481948048337,0.6701781771501402,0.8025707429205116,0.9128091188674523,1.421539587771931,1.114515662981664,0.6951705396579745,0.6632441271389318,0.6578760164995952,0.6069517972481807,0.6047321990925569,0.5968045447390927,0.6474795615740474,0.6872403793946764,0.7111593150557303,0.7248430407561233,0.8886240869552461,0.8722501521304203,1.341636075340722,1.1310942923892977,0.8479283584933535,0.6826329473825904,0.630644339425223,0.6569600638865984,0.6342568880288819,0.6316172312941144,0.6184608121799133,0.6190312618857655,0.6534283183973977,0.6843937893028448,0.6404245111898854,0.9525664872038383,0.5975589302190352,0.6349616709260513,0.7100893947375364,0.6686003908577502,0.7403447152165301,0.7235343202957277,0.8786622689637589,1.413130558889333,1.2071284541391913,1.400795758219861,1.0271894565017006,1.0064057656907701,0.9250495072041843,0.812065508720612,0.9446645048331436,1.0451205303045072,0.9257479978340244,0.7891810673180121,0.8739572902375827,0.6989626406668434,0.6561752860236381,0.6296162078910135,0.6443135800781427,0.6376378738547595,0.6336379807440958,0.6659207096891152,0.6541287523493616,0.63179084366092,0.6981607372690766,0.7314334159748096,0.7553462695291429,0.7978237804512784,0.9054744065114435,1.019203783975674,1.0869651540927894,0.8611670803486227,0.8697867864214905,0.7465965338965544,0.7416271517908741,0.754907630397788,1.2345612454604695,0.958350877995841,1.3582171115383626,0.8830738569999946,0.7812956570773331,0.7727156811709566,0.8209214091500363,0.8557414700367396,0.7441085359183236,0.8356124797079642,0.9633552754770249,0.8894047036342505,0.8586240365366552,1.0972266278618477,1.136617704582288,1.011497513837628,1.1661307768932159,0.8024534725452824,0.9904138029428239,0.8098481897263892,0.7763963308426252,0.8778058746982353,0.8528363686905647,0.965447136362012,0.860473152899712,0.7619573005201941,0.7340659765037879,0.7753245855774085,0.6646200993632323,0.7006132340498222,0.8299077981387971,0.669370685042174,0.6574549977323473,0.7283825844735874,0.856185548067928,0.7227414638508807,0.7147324802866013,0.6984984892122378,0.6759844690163813,0.6679687829871009,0.7202670417921874,0.6865978074450965,0.6639117772424501,0.6963313878311654,0.7226351458361902,0.721824760204448,0.7273485338050188,0.8147347586188508,0.9502344230710171,0.7899821849640604,0.9193752865350544,1.095740019213326,1.2407443677653975,1.0810179812242204,0.8437467706011946,1.5467677619808797,1.2493615703995382,1.001668199984308,0.9479066614687004,0.8483466887003869,0.8576308171302053,1.0466445319737063,0.7167760887483593,0.7400872867896403,0.7497122596088774,0.7327521693138973,0.6495814836257273,0.670396937718043,0.5962969350277784,0.5585670153902093,0.6286602156454103,0.6370301331448941,1.0708180350072196,0.6791675180922199,0.5330037451881635,0.5685714594700668,0.9511391375227914,0.5308538677652787,0.881937317240716,0.8597043028295344,1.62512924156198,1.7419536121768675,2.0346417322582564],[0.9631724745456176,0.8476336299953168,0.9229535613762462,0.7893302787702073,0.7500878438905589,1.1679870809734487,1.1828695287730535,1.2351795522873859,1.3703761873154343,1.3054706492463317,1.3357997742279166,1.3496318992521334,1.1765693623732112,1.2301080307390004,1.2077899177985016,1.1509817222070056,1.0831040657467532,1.0265312918108092,0.9126584738252217,0.9209920439967787,0.9077616601919957,0.9479668024761235,1.0016738131051333,1.1025591985161831,1.031097549193474,0.9470798901115757,0.9447970561139332,0.9442069911296752,1.0151618976256778,1.084507991804782,1.0769796834038146,1.1509619411907897,1.169597479174204,1.065893388023012,1.0314131738023764,0.9763792086619244,1.043790188760878,1.0157474012240444,0.9249753005989539,0.9110224620492342,1.0262225950409967,0.9649460004676771,0.9344927018246367,0.9702361463753856,1.3435420956553148,1.5207954499586662,1.6884867056719859,1.1503912050043121,1.0536770923754555,1.2798773150340041,1.1287653763222092,1.352516741127598,1.071003274608628,1.0569213128251225,1.3838423252203857,0.9920189607528126,1.0071261748096654,1.033085943451136,1.0385590414879524,1.6822316047095316,1.0086830611917057,0.9799350355491846,0.9168929700709868,1.0265999297311497,0.9543235358919164,0.9172556834708895,0.9994228494846898,0.9320324125075791,0.9566694044241005,1.0993990839634828,1.1032792017757078,1.2408991610132813,1.1125735696188133,1.1993040737907583,0.9475469502705052,1.319663226290241,0.9309576290708578,0.9618794347940897,0.9535062353456557,1.0224130937022284,0.9837122107564717,0.9908783787062823,1.3350488212606406,0.9738686868499554,1.0700066021445862,0.9608730438305434,0.9476306715654462,1.0115365385978645,0.9726565373339587,1.0121382810518589,0.9681472347910014,1.1462987267117506,1.1893731272507204,1.1559590270902673,1.2124775164750186,1.3012710803976006,1.3661591337241732,1.247298844374806,1.2721991153156944,1.3329076166816902,1.1793363377736437,1.188742064038616,1.0556773583630767,1.0868432393369125,1.101198560170217,0.9463403572969052,0.9655206567704429,0.8975654300731934,0.8546483168483363,1.0678030408268104,0.9293518036289659,0.9296153910817081,1.0736693005421643,1.0000216644386037,1.070963272540232,0.9626058676126433,0.9370474746752346,0.8983126002936855,0.9518991820875803,0.9549226520895254,0.9981557746336184,1.1322463919316146,1.050560080838327,1.1211124713894984,1.1725880182257107,1.0142144569999174,1.0002441918275518,0.9206166625762542,0.8178446697851357,0.8552211148092944,0.8385661696286637,0.8114506800614619,0.805636173117425,0.8509791223404332,0.8142027920609394,0.8534237540954829,0.8843727237308879,0.8478219903915726,0.9052745899110243,0.9532763732287958,1.126080038018452,1.2436868444009705,0.9137507373726875,0.8874359537115426,0.9035791016790452,1.0164586337276291,1.0028794971845933,1.0984990223422753,1.028699173407304,1.1859335296475515,1.1847111361416156,1.394757829130807,1.476612319265509,1.9748165817966488,1.6938418087163167,1.2883462808824326,1.2358437193799987,1.1619017185382592,1.0765904272206177,0.9843932334282217,0.9504451491769134,0.988923925820483,0.9139266357045673,0.9264160618064486,0.9076531670615383,0.9653269528465488,1.0529599177785816,1.4896164701422483,1.3035986701065847,1.1006273606577928,0.9120118215397099,0.8578160120553061,0.8843129385818762,0.871953257307679,0.9213140517188128,0.9835375169857553,1.0050895469090264,1.0309102899744191,1.0029368082072843,0.9305857617423077,1.0547026274251052,0.8728645305663474,0.8708031045962884,0.8983881125197517,0.8854135200427524,0.9956781718771645,1.0011300461499901,1.1716072580080905,1.7285874441088374,1.3858556028016664,1.4842627565840183,1.2333207157104946,1.1027620353487197,1.057034856827556,0.9668546687016875,1.0554185701685663,1.078898739155911,0.9571604606886653,0.8141344836435145,0.9715753457491436,0.7730513986117216,0.8036896707441802,0.7865037326497046,0.7228591536182755,0.7632469441349321,0.8343052104593843,0.7780256594997784,0.7829297894488804,0.8737036591230354,0.9404068134822642,0.9232553688241774,0.9654096066534715,1.0882968738384244,1.1368455942656892,1.1862380876053833,1.1950447147687464,0.9744885838869628,0.8963546338060298,0.8084520869528965,0.8393679387658998,0.7624570168934972,1.347683008477376,0.9461147968061098,1.4216164676347949,0.9090575545000458,0.846856185364638,0.8575670457550841,0.8750877336122852,0.8345746116290719,0.7745297277891438,0.8369811419463773,0.9068589230671477,0.8525917256516448,0.834149253389076,1.1239087340141516,1.075518438353285,0.9785716212504416,1.1573939189321987,0.8019535851280685,1.0315048696311384,0.8591250234228577,0.8509515942316017,0.9924760563212884,1.0340561291697856,1.1573003878776398,1.0233635548921294,1.0086280649480521,1.0679368209804272,1.0896559265907169,0.9547563996875748,1.072813250753658,1.2305152634100613,1.0194457559580994,0.979897298575324,1.138627915202462,1.259989997342022,0.995643412250869,0.9793015215547726,0.9126586603598317,0.8686861635099251,0.8376557160706707,0.7961869379092728,0.800609424086519,0.7890064949321813,0.7502635598920424,0.7522120196692084,0.7783395552285993,0.7448897882867382,0.7916439603683995,0.8898617178888886,0.7818169974099158,0.8619100358222812,1.0166678512760638,1.182681658504234,1.0581187755240165,0.8403517256294203,1.513462353771756,1.214525262441743,1.0107773607882822,0.9550538763561615,0.8994311879094825,0.9608894320789246,1.0695561850794113,0.7330923417323022,0.7613689960964378,0.7822482573154607,0.7721893391058225,0.7228977015440459,0.7578294749665975,0.7649559377143595,0.7654817969367196,0.9152493041186655,0.9592121409194642,1.349648475132363,1.0539871638491771,0.8710178595037092,1.0115924647535453,1.433855091089468,0.9799882521941323,1.166983867455084,1.2957158193578475,2.4575254581223245,2.8219405406537836,2.298243485904655],[0.8734627715094839,0.762726504401353,0.9432627209106432,0.6886999394787506,0.5929148123181398,0.935464632794529,0.823656829436744,0.7936191763343544,0.9265503487429226,0.729901240656795,0.7276934054205128,0.7910024814294704,0.546184021137882,0.5849518100096731,0.6055852850523004,0.5084376687014043,0.4714961611161062,0.4469958449519853,0.5272718320057668,0.5969830426144025,0.6976480276119227,0.8594550239437665,0.9666094349378044,1.0738477960414616,1.0574478754444903,0.8377086384544427,0.8326722833640079,0.5072865229659222,0.4470100496227368,0.421466098323791,0.47669234922463954,0.49549383650164386,0.5347163010927884,0.4740456472567839,0.4348731397042873,0.4560674696448128,0.43116681853033967,0.5365287030375491,0.5687589878225027,0.7177596926650726,1.083791977701387,0.9135031630016537,0.8342159125556459,0.840480055705679,1.4316057621348277,1.6833006515251447,1.8669908820558268,1.1258605699850979,0.8444319502925596,1.2412486015753903,0.9644990530067501,1.0643965451786968,0.8266019818915191,0.8541622405918058,1.2608633533909175,0.7358320034349056,0.7865697106637495,0.7669431680188167,0.7639870413676395,1.387627337814142,0.8031299552224529,0.7657558967838833,0.6193919862217379,0.8696036880555726,0.8325131762284599,0.6949221418678615,0.6810996271497658,0.5215326202086681,0.587149483245778,0.6442261216442191,0.7734652184114709,0.9807120331737925,0.665858204636882,0.8260230513003586,0.559538155748065,1.094363444407035,0.5119730669339434,0.48533044555745697,0.4874683562431208,0.5927473700322875,0.5130071800751957,0.6279093516087431,0.8975476647984391,0.662850029873427,0.8211320958998131,0.5144204876455031,0.5807601045609828,0.5589859821372641,0.4837875307985407,0.506451719022031,0.5032136966395089,0.8446981644945377,0.6938324903044194,0.5207947334573921,0.5549473870056476,0.6816543655255821,0.7725087825181186,0.6146162278349072,0.6321884852994683,0.7555450258506937,0.5205664891800709,0.6357143641325048,0.4856891404158563,0.5561839746235532,0.6511541078323267,0.5495611062023416,0.62218518627123,0.6110955916816907,0.5872504115013217,0.6978385662957305,0.5411757177271819,0.5048613164630307,0.5746156468945297,0.4696249501964969,0.49983560880112693,0.6281779654429349,0.5259927612250601,0.6332712077965734,0.6361913266373698,0.4567080008044757,0.4868893789513025,0.5284751673329459,0.4980566011606013,0.4950780170135507,0.6582728348602859,0.46182216163303724,0.6635046977025518,0.5205452922421603,0.591154595170844,0.6828558833494158,0.818513388745356,0.7900852928195327,0.7919776033864061,0.7250683372869501,0.7424059432573429,0.7132090439580274,0.8662029954189318,0.781937928570555,0.9790955868688785,0.9376375746335481,1.1969564284953045,1.3145155337984016,0.8090742457082157,0.6520289991591635,0.6508735114614592,0.46043977484825854,0.4467367983052454,0.4817066244411475,0.4717502051472124,0.6434243892989002,0.6645491015972421,0.8767338320290633,0.9643007448591727,1.454132321541344,1.1485106987354587,0.7038265814813994,0.6201998853492557,0.6055324761336127,0.482744171378982,0.4956968659123878,0.48465543969494906,0.483297171987176,0.5745741389339766,0.6168535730568082,0.8359411029672289,1.0424527188715376,1.0145538965202934,1.443604223151254,1.2973166763751776,1.107133831067732,0.900938780124188,0.7313327677092075,0.6795868286812837,0.6285902677285998,0.5484807054800367,0.48594655527186986,0.4618064561241436,0.5242403276223422,0.5802599086769842,0.5802117456172113,1.0170219514939782,0.5665897502422731,0.7082899616693565,0.8323448505392472,0.8243363395880247,0.97894822431055,0.9621118402180336,1.2272811082403934,1.9182069504146972,1.3713569868836417,1.4347788088228248,1.2664994292065777,1.089375143216661,1.0310423550470853,0.9741760286813509,1.099479074878972,1.1970807616962205,1.0653322775796972,0.880079594714957,0.9651198763262586,0.7419703612771427,0.6701384169357278,0.6402448269702483,0.6598827492811312,0.654417100024021,0.6578459878702747,0.6911815932554503,0.7002032993919817,0.7032044319143486,0.8165209032701275,0.8451221610946344,0.8650921494289895,0.9590758688189943,1.0990376812629898,1.137763183899443,1.1754033715465617,0.888097799689584,0.8744399490655755,0.759939549165185,0.7703498368905869,0.7079177830357674,1.2686942573217712,0.933051469620471,1.416155055370304,0.9113085988581305,0.8204304320805534,0.8181446307785931,0.8826448804967687,0.849668710781639,0.7701718279498757,0.8859839297980848,1.0090351699501467,0.9321635747469925,0.9209475811517664,1.2272762454181227,1.177695839501844,1.0642079295107714,1.2511768317799352,0.8711923783565714,1.1019327511509627,0.903358419117311,0.82734896532335,0.923846869824433,0.8764438201642312,0.9930357031661692,0.8734746392733959,0.8064757924959401,0.7943464649716312,0.8173235673668058,0.7117649765554733,0.7849789560742233,0.9272938908144429,0.7706907337894048,0.7492668130909617,0.86986161927802,1.0572492500281592,0.837875690212228,0.8125812622160847,0.7715258552348014,0.709919869047613,0.6908460569571931,0.7301809627385731,0.6973634787804285,0.6908991527446992,0.7202501532875085,0.7288743196633486,0.736668351024071,0.7382597810734104,0.819358513135462,0.8947531262718137,0.7899087942701245,0.9418141216774717,1.0735847445286724,1.207688526716343,1.0972464690681882,0.8457751064260084,1.4990003750654872,1.2109988471416988,0.9587511311095737,0.9784618799981636,0.9044615830064646,0.9601434022987829,1.189049420676883,0.7410408790460153,0.7323189983005586,0.7686557806904581,0.7557338156422879,0.6896051294084103,0.7222478339993779,0.6311147415614804,0.5667653981543037,0.6346013115072282,0.6777393180950253,1.1114986177448005,0.7450519762418765,0.6420660588534655,0.7478293206594825,1.1134088188070872,0.8044319226477311,1.047415750919851,1.0550583201411685,2.167454609057644,2.431044334645674,2.064650570608645],[0.995921509636881,0.9291105272546362,1.1905292288410938,0.9052234917054783,0.896187554128373,1.216742206462801,1.1604945055107003,1.1261279045018466,1.2054338033972976,1.079906343553394,1.048814391412947,1.0795107904080372,0.9282510268529025,0.9470856822244951,0.9540598240614376,0.8569571389522564,0.8196958743979962,0.7237088987087558,0.67164605373858,0.6590007581381886,0.7183417694330113,0.8030789728275962,0.9517352614711813,1.0083941814140673,0.9302932540568049,0.7488436778860438,0.7160468232923,0.6372451860968006,0.7018792340882709,0.769766253716195,0.7988521349179766,0.8210567805255118,0.8426885330849747,0.760371866573194,0.7115793240344161,0.6722156745949618,0.7301930002463735,0.7327958853725055,0.6165114982434805,0.6744213877705932,0.8209277035768059,0.7936463035621382,0.7611432790193138,0.830729612836188,1.3143155307686336,1.4690870927371278,1.7590862557151412,1.0780269298402774,0.9413568866880001,1.1767942577673647,0.9841932061020059,1.3025509211721842,0.8630590401346955,0.8579965993739802,1.0608547473867476,0.827459448949549,0.8801734139262021,0.7914833931973567,0.8633325816196148,1.6697742956004236,0.8987921680605802,0.8451820653243873,0.7078197642682478,0.9154033454295182,0.8557718413721975,0.7069398495111275,0.7999454236980217,0.675456095493386,0.7325435596616169,0.8799031013307478,0.9729478273061476,1.2134009143672053,0.9017234655679266,1.0014326439898085,0.7046734661217131,1.199277782046732,0.638541826196098,0.6569428750924321,0.6468634029091888,0.7149753493609887,0.6526175015267176,0.6459740333011734,0.9402633278843251,0.8144992086976603,0.8124668261054808,0.654228766303441,0.6382206908165223,0.7119638223132345,0.654114302883469,0.706619303706788,0.7415612799943611,1.0287095380085387,0.9353163104940407,0.8305726612227813,0.8762111476262678,0.9763389988413509,1.06451779005126,0.9319504472364788,0.9601299880842619,1.038496653385827,0.8687004806824525,0.9600623390088903,0.8291348760225222,0.8787646484624878,0.9324806022440371,0.8101929691094979,0.8496534416174877,0.8108890806874185,0.790719786042268,0.9356906029999454,0.8316874722680937,0.8290043174767615,0.9823677863915482,0.8878842903682378,0.8574568183107442,0.7765263502130895,0.6666408867417599,0.6314141046102101,0.727530444790333,0.673819422906171,0.7442839439502049,0.8964867912814026,0.8960781551623033,0.9982566386229168,1.0868315541236835,0.9386620542541977,1.1047066330470412,0.8455739043709363,0.7106428058427162,0.6962895173474519,0.6951921089562079,0.6874444087024828,0.7043588190539412,0.7301530273865398,0.6844987618008053,0.6940812775700447,0.7680842677591305,0.6524529928314459,0.729100452934473,0.6355764983062682,0.8194566451632803,1.1630559350759606,0.7282049864853064,0.635256834251088,0.6417264833736879,0.75073661595674,0.8204581896474349,0.8905265293011636,0.8765656402395292,1.0588055677178545,1.0316531791590537,1.1875143839652138,1.224736853654281,1.5567632819385462,1.3403504236098134,1.0152261120665649,0.9706964692449531,0.9707718647767819,0.8558003550214187,0.8455787088574688,0.7689913980483501,0.7345598772646461,0.7185926372888515,0.7265995584782221,0.7643861944544371,0.9115783918564276,0.8610434423479916,1.330407423976744,1.1347280850208223,0.8517393131164283,0.7192312046683536,0.6615793918806958,0.6890365152209741,0.6959052082459201,0.7127859160249037,0.7483661614700636,0.7755916152100559,0.776022188451814,0.7378569245226536,0.7163136859003647,0.9767849284053601,0.7166096908601969,0.6823886776220245,0.747165931870013,0.7007080329802863,0.8017418612225322,0.7976472947353808,0.9988713259589306,1.6113573970681248,1.2502180600448334,1.4015249212253447,1.1182467083039023,1.034265363036853,0.965307385796543,0.8645880493959242,0.9502838398622558,1.0581777752292285,0.96975006011202,0.8385045124564755,0.7989528638379653,0.7630241251502283,0.7452022243754389,0.720353320728467,0.7768826771916633,0.8047376322709268,0.8550520390118137,0.890259114666471,0.8992603636865667,0.9073182186713195,1.0305401237063674,1.062514686956598,1.0657166778853868,1.1312048371146273,1.2657018751463127,1.2929820202612154,1.3251442895790375,1.068459901988306,1.037434834591595,0.944216021342105,0.9566424610202509,0.8493935433489436,1.3032710347549232,1.054230778772415,1.4246832778443614,0.9967006749202867,0.8850633096771864,0.8935537205531233,0.9303907798960973,0.9177648390874739,0.8493849422513894,0.8874665146150325,1.0260728766034273,0.9516862506908915,0.8999542721381281,1.1038731302274316,1.1580629989913878,1.0216226827574268,1.1912638836661016,0.8645562884760843,0.9677885857285613,0.8898339863032927,0.8927542320831776,0.9842280508005117,0.9459978978019524,1.0542316381998142,0.9513802054305521,0.9305855261259584,0.9216940965402085,0.9509766145955818,0.864882259811921,0.9512514428474625,1.085453772835023,0.9728778979939737,0.9412405990457968,1.0454418213382368,1.2394063680738214,1.0302318875756151,0.9969434154821551,0.9626385865653903,0.8882851946818648,0.8599379429054795,0.8514466607459171,0.8609136683981766,0.8580229157547091,0.8282514702362603,0.8527368835297275,0.8892387915215159,0.8416775153483783,0.9045119277305007,1.0362889035822629,0.9366123670903854,0.9890386468743869,1.1922459335027098,1.331764237539156,1.19854645224336,0.9689596876906692,1.6891917536240078,1.3999156789680338,1.1276983669694831,1.1791982650871993,1.0995044020088856,1.1923351234080721,1.4212553439565232,0.994057674351162,0.884916671821416,0.8531239023891243,0.7812644700188821,0.7700901225346233,0.71759457975259,0.793976423145597,0.8123400637626742,0.8274380558011915,0.877380936158959,1.2319506802370555,0.9859525691775294,0.8755210905892533,0.9875703547891548,1.3219267425045804,1.0428951087420981,1.2240717951369917,1.2290229340681083,2.3116396231891376,2.5206946412792792,2.191837115726271],[0.7962801996495249,0.6995242733629348,0.9696043275548425,0.6363249707716019,0.6572947058642397,0.9515396971915296,0.9208452739349837,0.9238894475595263,1.0647126810801384,0.9922811051223089,0.9992201803093934,0.9865007327084582,0.8734273041035829,0.9355168008291229,0.9792644587308551,0.8574103979736992,0.8205088529737953,0.76715114218674,0.7281751464845703,0.7578227936719498,0.8134184473917992,0.937257240082445,1.0236457364693612,1.0945952152488663,1.0677757734674416,0.8793979026325749,0.8923382521153544,0.7201896212385352,0.7469732110693492,0.7763652259790388,0.8397406371028844,0.8187599143695895,0.8447089364823421,0.7933399070579675,0.7505619243278014,0.7438120153797729,0.7446287147547042,0.7981323462016414,0.7586554344520186,0.8626424844290042,1.0138624976957626,0.9662483893468445,0.9298174676701351,0.9821025990569627,1.4092720491287556,1.564963278994614,1.793071559416507,1.2052995650059304,1.045321842142867,1.3431817671910649,1.145061661764903,1.3816217039673184,1.0021889383376548,1.0299833602893669,1.2248946934166998,0.9210723695273318,0.9493855661846674,0.9205463145459686,0.9401284893673384,1.642858425276066,0.966628858668882,0.9305583548962982,0.7976465418375954,1.01835820228653,0.9396461525999865,0.816782028289749,0.8608366823603126,0.7407421391404384,0.7739417577901231,0.9075580711516523,0.9901917789316372,1.2421102657077774,0.9295597537910054,1.0182610069654092,0.7696658546098141,1.33896719543773,0.7145086025991105,0.7406036699767042,0.7319401589956473,0.7985963550506472,0.7597298661313187,0.8087760381967556,1.0210715210376389,0.9079378371039485,1.0126718801651364,0.7368288125617052,0.7745012046524673,0.7800586543111988,0.7536624307541459,0.769500617287531,0.8008061814294752,1.133756219462189,1.0233086618328238,0.8733572456930679,0.9033035395064175,1.0144910818916342,1.092623867296235,0.9158582972701955,0.9034956509471465,0.9345427408233529,0.8238453017381031,0.8503176520711097,0.7847960923594295,0.7602885487402689,0.8087873586775689,0.6950611028579761,0.7235066461074922,0.701371102510683,0.6182624845183867,0.7532213941899846,0.6031553139008765,0.641815125422667,0.7690179498799118,0.7196295469220076,0.7816114932836437,0.7534768317418078,0.7175151857854745,0.7066511429365382,0.7852981719976414,0.7393107257898967,0.8076611393859406,0.9141746975846434,0.8802959479732013,0.8912773687017121,0.9116253933788618,0.7909642444363747,0.8385483813786546,0.6278340209965407,0.5485269771483384,0.6272744493504261,0.6843562862074977,0.6753631415141417,0.7309436847320037,0.7270886609282199,0.7026462260696703,0.6697486266587716,0.7473505669854166,0.6960928320920268,0.7294627940445044,0.7615992571511815,1.1428497729626153,1.402033216777917,0.88311444116306,0.7419954014652315,0.7661421323597397,0.7723632408445166,0.7802346515106432,0.806841551870921,0.7532360078578305,0.8962626662163754,0.8467375649199526,1.0327333315550509,1.0360204692047765,1.4726249656846302,1.2895366323233024,0.8928669695153941,0.8676117381043689,0.8342182917777075,0.7875033494645941,0.7239638316108447,0.7429879249575387,0.7460797251026162,0.7445523403811141,0.7965557302742727,0.8984646956330046,0.9914762499048634,0.9807927114714192,1.4237181098961131,1.2053218082913448,0.9906492773793348,0.8378834614322259,0.773634019985084,0.7822386785931342,0.7173623461309852,0.727915066690578,0.7098541171316629,0.7665800557844296,0.7928332596548264,0.7661077922967434,0.723422721465153,0.9102121186877841,0.6931169392088689,0.7522589641356735,0.8641747537776885,0.8336512473975319,0.9857545449384137,1.0072818601216125,1.227261742813156,1.7953420036128334,1.4071177236349688,1.5494715176689087,1.3839938682062332,1.1562800933824016,1.037834068356895,0.9207896647864774,0.9755370541055005,1.0553496589242954,0.9675366550894977,0.7978742323498921,0.8006156070841952,0.6755655215367794,0.6256785101785837,0.594797950914813,0.6180633832846443,0.619983516601149,0.6462978638785403,0.6839312720747783,0.6810290781073829,0.6845511904116259,0.8013757451670034,0.8296355143611711,0.8349724648651309,0.9182086344598411,1.0610085643895895,1.0924287944474056,1.1317351739582273,0.8719832901166766,0.8738137310086304,0.7543609471731958,0.7566247795863968,0.6902639869616531,1.2815218946385263,0.9292582924021983,1.2914395900187094,0.8485885078612476,0.7724462483584466,0.7866658524540187,0.8881665094225563,0.8158328877871022,0.753652721413049,0.8460724365267767,0.9893182507437625,0.876554954211269,0.8540305589552083,1.1511625174937834,1.1086935318509203,0.9712279603703451,1.1721575147392667,0.7998336992197804,0.9985691652227753,0.8750771409264858,0.8112587679553006,0.9332758870530595,0.8516562870317855,0.9949787240905378,0.8561491609442912,0.7992021510566137,0.8155952161345876,0.8114074542424093,0.6993556674881322,0.7932951268502008,0.9311744378849645,0.7652305672189706,0.7319149728591349,0.8604107989714967,1.0523176498196811,0.8070352556979222,0.7756216125399973,0.7422825542441646,0.6790011768123225,0.6774212713309332,0.7067209213526637,0.6651451479106774,0.6594125819445753,0.6734444704051599,0.6860085591965248,0.7071951820033284,0.6921690857810021,0.7791040574983638,0.8953821091052803,0.7978166866340111,0.9035505059357412,1.1046937995014998,1.2642924636979718,1.1290241252837494,0.8683891080885291,1.6321271516689722,1.3204660454453772,0.9944577435033835,1.0198210927322424,0.914881310445975,0.9592368261074856,1.234529654401262,0.8110589402917766,0.7790635430958051,0.7555907875219197,0.6776951897097168,0.6395461125613932,0.6391476046635662,0.6086173131162042,0.5958873668967059,0.6430005381987642,0.6913314477738838,1.187440274307831,0.765569384556148,0.6559148136255158,0.8056424452215207,1.1486185085561254,0.8119999820532945,1.0473177095545767,1.1678578150155885,2.480151066889451,2.9621323740536556,2.556137575610329],[0.8243464768070403,0.8042446895525253,1.0334941704718676,0.7396326705897458,0.8127631174257077,1.1237990958894433,1.1559059048937326,1.1850561341149657,1.2171811074064693,1.1466988708712063,1.0840207842964327,1.1281526418480885,1.0596571758831501,0.9923982450116193,1.0078325156023227,1.0019235731349942,0.9902727843391428,0.8917397057910581,0.7736261287013675,0.8346983004101838,0.8427997057619441,0.9181301721766615,0.9650861711388068,1.0278454678657805,0.988812800799028,0.8923234627862862,0.8811963731313811,0.8879961278812086,0.9593280762378489,1.036750292943066,0.9379687613500335,1.0322570994237186,1.0190813865711275,0.9608885062375577,0.9703087676944954,0.934529086005183,1.037335172638184,1.0645070915617434,0.979620338833911,1.0129734459674582,1.027145164602571,0.972274709555036,0.9742914555577675,1.0269031882501525,1.2592462561337188,1.507952241137798,1.5806544259440594,1.0970350834382676,1.0920343298420354,1.233747424335381,1.1400971855871387,1.3966892458896056,1.1249892644466168,1.1131662145824601,1.418277353888709,1.0425098163745783,1.0835039187098774,1.1131232265225965,1.1477680885116812,1.7364113050367034,1.0536407902979466,0.982451778812888,0.8659125412141432,0.9486777265851793,0.9437486768261008,0.8902501966536931,0.894247986107696,0.8059071379620794,0.8011429474378683,0.8499237299454551,0.9110540406403147,1.0659008962770413,0.8561405984041781,1.0228428759435162,0.788452608442376,1.2348007974614765,0.801077966890882,0.8323358163699003,0.8998985792318358,1.032974383158301,0.9939075974648814,1.0167867965146717,1.3964840503805644,1.11962830443363,1.1775552103359521,1.0504107993658196,0.9743714713886427,0.989821434752623,0.9240787917727833,0.9704775437304353,0.8942583255634821,1.110633442605334,1.0455686920480516,0.9529719468111003,0.9845011803541591,1.0144225874968311,1.0788549829966085,1.0557863868261337,1.0918486943411387,1.163460296743083,1.0953754120503734,1.1978915515392936,1.099124649225625,1.1442614932476394,1.240775360622959,1.0389399622488669,1.065843855543758,1.01112971558597,0.914686918391907,1.1163924147824833,0.9475754458600705,0.9847743397297665,1.112344580994691,1.1028931917967322,1.0479720983158953,0.8830240541952166,0.8523674179442092,0.8531104937655942,0.8278063112990166,0.791485384123522,0.8060353857239438,0.9432038620517068,0.9438763358859521,1.1391335498160875,1.1831441796724305,1.1882503833388538,1.1107019441948287,1.0030687251733013,0.7973608298791875,0.840183622432595,0.7137811114240961,0.7343099067002387,0.8198235537483582,0.925313021713586,0.8587233673285801,0.8735667012934754,0.7782425654549162,0.7695595507105262,0.7362154898471523,0.8665445745313152,1.1842287783138317,1.2453684552005042,0.9324904531399838,0.9479165281129626,0.9627016088784366,1.1121563774430996,1.1224515960069026,1.1743631656717066,1.108396683608459,1.2322485310338245,1.2138881975339535,1.318117399339677,1.3741216894381836,1.7023362153710113,1.4826562426838155,1.168792287067478,1.1451363215079888,1.1838881722775982,1.0881750052808523,1.0712713634417705,1.0958574727639152,1.1103022775626543,1.0613274564866308,1.0587615215368176,0.9737346167512855,0.919019682349801,1.1211098241822655,1.4768692119360525,1.290459768136768,1.1814586370764706,0.9805506460065597,0.9949159869645214,1.069211965857563,0.9801648220717439,1.0405156478455526,1.1055525879312864,1.101983362189594,1.1375699600343359,1.0845447597260445,1.0277830318575163,1.0017163477082112,1.0053353845024486,0.9739587957514908,0.992329367962071,0.9773791513803158,1.0497924846760465,1.08785053488464,1.1650447918289715,1.5988380391100563,1.4277389202040993,1.5424966403254237,1.2188505616041068,1.183411550464219,1.0912612375913044,0.9293451278449816,0.9022794235401899,0.8240434433897675,0.7447851359974905,0.7292955756836987,0.7815406211585756,0.7309151831300518,0.7825047406348962,0.7682995768908455,0.7578914618561122,0.8057129954339666,0.8871885305292859,0.8677727942404404,0.8669578266963794,0.9456942575005175,1.0099162505142547,0.9792679677389158,1.002187126682514,1.0983936097838287,1.1738966561327604,1.1660629593707084,1.1707554537903773,0.9927087725034389,0.9352331959286825,0.8806386701443151,0.916979318798696,0.8196255829236724,1.4930738661867082,0.9958410518166194,1.3373002934881189,0.9158134901944125,0.8688941268397145,0.8701109834652352,0.8638087413682513,0.816778848042718,0.7978721144774661,0.7625508177643062,0.8261613964874085,0.7876142219586926,0.7294906992837635,0.9749249140484345,0.9069450729900405,0.8063299476374498,1.0103785167642423,0.7103838772986915,0.8181082008853714,0.7915258235688389,0.8879563245014287,1.0065230280128055,1.0126310542617787,1.1253935264166364,1.0022353507652162,1.029806351904122,1.1016023904478025,1.0896365027618073,0.9793896571877733,1.1081921588228767,1.2344746115494163,1.057185085948579,1.0257859403117997,1.1521784690896246,1.2559646598172294,1.0426346229580499,1.0282892054835997,0.979633150071219,0.9260647234199156,0.8847232709939793,0.84729510876256,0.8742921744464442,0.8783071721564077,0.7855442015341758,0.7907496291480565,0.8224954231849352,0.770847010686834,0.7817611583569138,0.8590771548370402,0.827844968307882,0.8097533942150092,0.9589853758325478,1.1721003281299096,1.0762898578939697,0.8714517717709327,1.4930845881878683,1.3043987398551076,0.9756471778229193,1.026644336712715,0.980234208903885,1.0245895630240007,1.1899470813601098,0.8496716500631665,0.8104243261699255,0.7628081410704864,0.7499122005931218,0.7669504631125713,0.7077874226113999,0.774154112218555,0.8074464951380679,0.9238983520439138,0.989837029785877,1.4033364635708567,1.0537186290854668,0.8895802396621997,1.0176775349173832,1.3705435759394768,0.9609125826469334,1.1037901560016021,1.37285641284899,2.767592310465003,3.3197587910772857,2.8710864221034673],[0.5686703499795898,0.5610836392397393,0.8106581690395145,0.48273171021647443,0.536079654688957,0.5924142992232453,0.5609284790088793,0.5925190145735769,0.6364492499054447,0.6506690865273377,0.6757566825229141,0.7005075617798686,0.6296800763892334,0.6426212221698727,0.6797643298978338,0.6470810168514581,0.6437469763583833,0.6150306624994643,0.6259997744681038,0.5522190792539088,0.5566936286347757,0.5707112978052669,0.7493763351773184,0.7458396246338126,0.6705413485949068,0.5525727754512193,0.5645180081997783,0.533812970437852,0.56451903726407,0.5533669737946445,0.6187864054309117,0.6103970502864702,0.6524638270097696,0.5859300651873126,0.5609258514781775,0.5459124050835441,0.5415726726715885,0.5642112189212254,0.46603827410071624,0.49475851668870185,0.6821179451568807,0.601154930808318,0.5266457129380643,0.6376306110575969,0.9998862408866732,1.2817750183091055,1.4215928656724708,0.8248882398772645,0.8058635985577892,0.9972553243739013,0.8320333734677641,1.2107866531818248,0.7457423768309664,0.7099133182849011,0.9955598675060344,0.6608404019612704,0.7433224758927433,0.6111925431629027,0.6861076082151832,1.5417944216632316,0.706660365341876,0.6734946553465647,0.6190903208156493,0.6879154790022464,0.6420858303624767,0.5866838559535086,0.6922195348064214,0.5988942010620828,0.6914235714691668,0.7935504745093171,0.9320160955657091,1.1518972390526285,0.8240343491866672,0.9278280556618091,0.6468325925090574,1.003956689286987,0.5769861809448471,0.5933868845186597,0.5522748261793307,0.5826936803672212,0.5038158765354256,0.47828557571765207,0.8172721106659496,0.6295942349410822,0.6681662594202722,0.48594450184609267,0.4855754194994531,0.6060881994351812,0.5180714652154109,0.5811722178062472,0.6069099920499572,0.8018593546729788,0.7399911757367019,0.6583112746380761,0.6838303874732663,0.7675344746861862,0.8554119802819096,0.6665505280233398,0.6549496192830231,0.6984639328547074,0.5992695089340081,0.6174458583369915,0.5690190584571392,0.5702871881284934,0.6449439555441167,0.5405814566680589,0.5721167130266052,0.5358690206893866,0.4855103523158218,0.5900271112700222,0.4863089388841878,0.49970169235033407,0.553527445058417,0.5408482074273996,0.715605933980751,0.78135833498248,0.6429450229120988,0.5697849273832769,0.6198327465000663,0.6257826178528547,0.6783130922572614,0.7757594829612188,0.7529823217595092,0.6589850104623113,0.6194319896135047,0.4870482941225357,0.5595972668664019,0.4434280516400579,0.4745575153923548,0.5475188447702947,0.5782490997444023,0.5408486503746436,0.5465880342587172,0.566435946858508,0.5285921187970339,0.5409121429197693,0.6001187348601498,0.5354875002885291,0.6668816146225942,0.6184578050863255,0.6248575982350728,0.8204010514408758,0.5654255224220026,0.4883854580514223,0.47903007777383694,0.5525897109864221,0.5754421503382777,0.5962895356728696,0.5472280237732172,0.6239913468860133,0.5780653533952761,0.6346178128462252,0.7364844954620482,1.1399645972086716,0.9319031264749843,0.605331393620595,0.5975373997693918,0.5722697923557547,0.5613783821460329,0.5508354724352845,0.5004769624990507,0.5119244108293995,0.5553021485930515,0.5751994772876681,0.6205316655343533,0.7833084508701705,0.8130449418523689,1.2508619118176987,1.1022170917444378,0.9402003237338705,0.6869855396815769,0.5701681228431047,0.5703753803134158,0.5336381801389107,0.5235562574360316,0.5047775540440315,0.5313237020528851,0.5461853084949565,0.5745255880979772,0.5357113610047688,0.8995729148884589,0.4936887906069654,0.5362215827749167,0.6194185620196018,0.5954750561791868,0.6921067058406043,0.6447847206670713,0.8475705910728211,1.4205758441459104,1.1754755223601054,1.32781071564782,0.9890171388141485,0.9430877990741887,0.8327924741026754,0.6884953187055294,0.75142847615298,0.8675173819610534,0.8270905139799057,0.6982224945229247,0.8320705841348566,0.6559611068378968,0.6318792864887833,0.593074977406168,0.5495733104476891,0.5406349972722546,0.5457975513200287,0.5276363976432334,0.5021356224907079,0.4962525197390141,0.5475168284272356,0.5650358083268976,0.548677837989547,0.6072382848503473,0.7376346743770492,0.7626511717972417,0.8221928140136421,0.6569501249850298,0.7049027145258777,0.5964473637353603,0.5677167645046065,0.6057476233048557,1.262016731684609,0.8445927710530108,1.1513493739701137,0.7092957708930085,0.6598990272828547,0.6936305474206953,0.8299817276767192,0.7277466536098652,0.6550242855076284,0.8046609572881932,0.9079286120377118,0.762248937320126,0.7530214827319505,1.0635850013051695,0.950106962696643,0.8244424901695407,1.0201633446383638,0.6931652845984634,0.9660923348708034,0.7979674083455294,0.7642966446641983,0.9130008083234408,0.8299612192917042,1.0055736085886189,0.8540782938192724,0.7217886693471487,0.7689503875448352,0.7741349073364026,0.6008603923306884,0.6467558153211449,0.7447666055583545,0.5475323524184549,0.5244619709170898,0.5886930033837549,0.7401960345450082,0.5650702239964653,0.5305290048981645,0.5398709380427981,0.5439373719282283,0.5975622220853777,0.6514469197544188,0.5363958312389814,0.5144435458727846,0.5839969494870731,0.5811150703776238,0.5770603366936162,0.5891738204962502,0.6618124104309285,0.7910519400331875,0.676887820370926,0.7747385777883804,0.9329842409885015,1.1223878892076484,1.0053646303767216,0.810355150657844,1.6089168267288367,1.4676160418462456,0.9364234215410024,0.9119418823819441,0.742677961743622,0.7103714300781084,1.121374128831685,0.7516407129988572,0.798005807712005,0.7042447395812752,0.5797441680456996,0.5700551481731538,0.5971013781076621,0.5280272962030335,0.5087081183745243,0.5913244780163844,0.5773843923895258,0.9777678866812598,0.6412813443927795,0.5258710111547865,0.6051248551332561,0.9021227195610212,0.536646843844192,0.9165102571038215,0.8472175845170336,1.9793865252337621,2.2894305150103262,2.3055448712277635],[1.0509053639038013,1.1673683616593638,1.1071707470306045,1.1034860637011548,1.1417382465859596,0.8866554594694912,0.8153100914184859,0.7938134813320327,0.8079789978885251,0.8203353167908387,0.8463744292169806,0.8498814186224232,0.805564996719411,0.8617370092976836,0.9716872514341156,0.8993656094887188,0.9510504308311585,1.033344502658984,1.1861121462069295,1.0393075867064874,1.1975579819275715,1.1613386531943475,1.367888268966418,1.3600400888514967,1.1996466186768424,1.182928675123084,0.9631745200083266,0.9879828769864129,0.9532285581253509,0.8708594639369741,1.003766504966571,0.8535776343258724,0.9018767653343049,0.951842119434651,0.8971285363246221,0.9307485543779248,0.8628993330414564,1.0564667829166137,0.9104495061527418,0.8636525318709091,0.9056133155716476,1.0313443176214008,1.0339662569844492,1.1807994766298893,1.2505865623589005,1.3683153376336252,1.5716173725042186,1.2337652336916887,1.3124962982928674,1.2883393151399378,1.2395736782587912,1.5642276185545578,1.126036598107024,1.0599037553325803,1.1029535459417639,1.1949921151917184,1.3091740365383493,1.064607107515292,1.2076707964906803,2.112241325655502,1.3611616552307466,1.2910491973306475,1.1791038184342038,1.2358923618634703,1.2396454653638813,1.1278313543554923,1.3055741027085008,1.104662743645697,1.201700306044871,1.2310729564145018,1.3449679931884015,1.553501367319526,1.2843033212738637,1.3724620779829788,1.1152605449066544,1.4714377010481803,1.0705646870679162,1.0406294639731393,1.029816686085329,1.064190888564314,0.9162692374466057,0.834328475353071,0.9823308579600807,0.8649608475713667,0.8692733397430061,0.8127358912926991,0.8921063499281577,0.8844356140693731,0.9730821390683653,0.9694490745550056,1.0623700540746188,1.325427705899682,1.185103852146527,0.9933349244825808,0.9710289738555652,1.0337157376327608,1.0610126173164578,0.8792053860646627,0.8166059560521393,0.7911770285769442,0.749220884655616,0.748666593102399,0.7135395318909389,0.7188702909068045,0.8222648388912591,0.7607687990911158,0.8558207495003678,0.8968607518537359,1.0574104773185666,0.9238111599518605,0.9607661693584898,0.7741798365186923,0.7635295565795102,0.717381484958769,0.7808756208052124,0.7918698343112587,0.866606025890811,1.0569056638742076,1.2927125027301718,1.0537235221424963,1.056808712701361,1.003394392194,0.983640884586592,0.8190617204092998,0.7696517343694528,0.7416537725598202,0.8543362611129657,0.8408772570920908,1.0593404683520082,0.9432026018220017,1.2493780985748206,1.12631296940584,0.9817750755076141,0.8465460083121132,0.8832466530061004,0.8826819733695943,1.356892948834022,1.15186038493927,1.1585555414410693,0.6253409228020781,0.9775542500944671,1.3463473149724172,1.118317182687477,0.8909392063959584,0.9041513568755348,0.9609706282100577,0.9301104970428655,0.8099451580092568,0.7013462930255856,0.7757047647546375,0.7751209361524724,0.815733472010585,0.9046986498147241,1.2784068598891614,1.0278022701457026,0.7406013361560168,0.7379131807599978,0.7229042095051113,0.6961214717551585,0.700859688567647,0.6380642944036344,0.758376122703911,0.7859483469239923,0.8592850365385621,0.7837009236696685,0.9427922790254811,0.9046582665164489,1.3637925469715189,1.2912765741321603,0.9757209771602637,0.8520121932251816,0.6647992760192789,0.6699632954773299,0.666192106977114,0.6918774353624392,0.6641460156877144,0.7158957013374165,0.718686261969592,0.7722372942142338,0.6796825360311013,0.9898468801320301,0.637424401723238,0.6782211013806804,0.7633642750418831,0.7078812810468649,0.8089962483957607,0.8581218773777293,0.9756596257065734,1.4240924425926262,1.2883172244341086,1.4718120506835795,1.1228172063166146,1.0657603016850514,1.0527225411617909,1.0952390593468242,1.385430490426703,1.679327717007404,1.6573334585423611,1.5956789611072768,1.6681894172958687,1.5899626311427957,1.475109342227443,1.4313899154971552,1.525122535509073,1.4960425832836926,1.4139569760028674,1.4497401895769908,1.4527284801655358,1.383646500333873,1.3393658774022656,1.3475099389853789,1.344319320445986,1.3181259234422318,1.3013029268413558,1.4250387232149944,1.5857602195494092,1.4366518214378072,1.5694789932176048,1.5234193316446127,1.4890056040213948,1.5910320759181895,1.6953554661584336,1.713270190799964,2.1048951766961284,1.74605461702802,1.6448187373596888,1.618536616414758,1.7156821999516951,1.7070428859266664,1.6132299721593295,1.7036470053981307,1.8301787374278058,1.724891811713138,1.7106479228397615,1.8863576851667216,1.872184217081639,1.8294657245359298,1.7926618408224,1.658540941907901,1.806638907955666,1.6131767023036494,1.5943378031043343,1.586089621654546,1.5611996102922712,1.6006782012736345,1.540716956203505,1.5018865137676336,1.4294243062031216,1.4267202508593,1.4069079199657981,1.3465903955221996,1.3276759066180468,1.277730026610411,1.3360023052496326,1.262851030174078,1.192548056233636,1.3065326053096655,1.3555642689690475,1.4278265555184564,1.4784919694766099,1.5207357570442845,1.626674833116227,1.5316488880914583,1.5133854129733897,1.6047510371565106,1.6294512310778622,1.5870528005963473,1.6313051884141623,1.7048408618475868,1.698980883342911,1.6120723954099332,1.7713612103301641,1.8890813479035131,1.936966912375386,1.8565583391543738,1.6843141149455454,2.2445263196931196,1.9382985850428676,1.6019000078589312,1.5535079808979517,1.5176333408565472,1.4152294283874534,1.585326118428251,1.5030271659910637,1.59157988973289,1.642806396237449,1.6631622617468182,1.5348335042505294,1.5091437586749186,1.3026748286561567,1.2745023283778807,1.2389407597172961,1.2421063730819861,1.2943641994378992,1.1802199082868374,1.1627993418275795,1.07938357297645,1.258081540338736,1.0064336332194794,1.2442976082054313,1.1441424102362232,2.067326821536263,1.980350057350175,2.5691943528508303],[0.9031765501415396,0.9751205468480909,0.8679209978490925,0.9113089428141901,0.8641488296069092,0.8099657868650322,0.841220311446257,0.8965044093668106,1.0718216595724184,1.1734977546582208,1.2734267787303764,1.230738785816984,1.1798288868659486,1.3143081962946885,1.416728157920174,1.3113351506520552,1.3370595073802403,1.4261208693411758,1.4706998058321474,1.3675913979255272,1.449139168161627,1.4579724352294259,1.5623072708291625,1.5149144802500143,1.4521422949971354,1.4054663674208605,1.3153060980597104,1.3270961868203457,1.3226319616499358,1.2673366170431393,1.4040543209705707,1.289523707878089,1.325489868833603,1.389373750105982,1.326242644199831,1.3363757584294764,1.2498830304630457,1.4058992361989047,1.253901833811468,1.3185164374712155,1.324154377608925,1.4061458860366602,1.3903812080324531,1.460040803596671,1.5769844214320798,1.7285250847390738,1.9468541178775973,1.571281407116107,1.6172100261100169,1.7119803865316523,1.5782357200705752,1.8469613407831018,1.5045128197092037,1.4594916036027246,1.4782064791097262,1.5391356420284819,1.5681348921826948,1.4138288880751673,1.519072093908672,2.271914710169055,1.5836378997817198,1.5260654291655213,1.4225575526922238,1.5181578909395617,1.4888774173220025,1.4228374382084323,1.5802906962038468,1.4487825514227746,1.5360393899630866,1.6075947035663536,1.820524889627586,2.0715730194323223,1.7364323897021487,1.7489633485900122,1.522458577779869,1.721843254178415,1.371867961887878,1.3729095772121351,1.3462532578512831,1.3616115329118523,1.3136675208064363,1.2668826314849837,1.390407835563218,1.3173752894025068,1.3343317626821676,1.213381705479272,1.2986530856267198,1.2743330264302777,1.3454809046233362,1.3350391055050073,1.4325122195003748,1.6610181632441428,1.5625904358881548,1.4303709245664538,1.4205729723827973,1.5056815575435718,1.5760976898857029,1.3509892369029832,1.2477117628718284,1.144881821383174,1.1546571744829526,0.9904221664179844,1.0737886229533196,0.9030550500531501,0.984040863127878,0.8264288050003248,0.8595384680852874,0.8662844832914631,0.8411640237921361,0.7964558541690043,0.7689797961578209,0.7390186597625853,0.8021750291621723,0.7953277580910993,1.0078807429419494,1.0327730853260073,1.2255124422793149,1.3335531826737579,1.5860194437506003,1.4634144064262933,1.484534292419198,1.4337807836001413,1.3482854128709691,1.0975055847284694,0.9161919357590593,0.6909303736504366,0.6972365307993414,0.6974606718901704,0.842075755253048,0.8654864209576094,1.080934614490106,1.0417071343184294,1.0803693973730197,0.9814235558142218,0.9963254579318105,0.8589003847809034,1.1861156131929902,1.1471915475077843,1.1277676087678699,0.7654382668529929,0.9082780469936605,1.5901341763548171,1.3743636940175623,1.1372583308354358,1.2279148615008777,1.2307914207589294,1.1862174436796813,1.0834996025787,0.9060274952204536,0.9357805827762593,0.8516230223856563,0.9628849979706863,0.9277455241213067,1.4039795635097954,1.3432823648634071,1.012465558951227,1.0418664018489465,0.9058175724735217,1.0367994911147327,0.8761613675574165,0.920353208475419,1.0899000883799979,1.030077956762713,1.173678255971938,1.2011513812293608,1.3013371653362162,1.3226040641217525,1.7615177654165104,1.6540617286826782,1.380825272155174,1.1805315907754073,0.9722461631866424,1.0205091533865622,0.9927345646683579,1.0234760242976004,0.9892452038868423,1.096479234672387,1.1025904890801055,1.1521334528109115,1.037569227566265,1.1877473094405093,0.9143062268439192,1.0509143479243128,1.1833031652656363,1.1408395483937341,1.343356864523923,1.3747640853990408,1.5098755217503117,1.9119252297206477,1.7854611804849405,1.9237065307795969,1.5208852713407108,1.437371941496401,1.3360105474506712,1.2629989897899212,1.3766800393057648,1.5602141951985704,1.5079764439603376,1.3440360537056932,1.3594896372216156,1.279178475064365,1.128139958586802,1.0743130282044344,1.1653481554786023,1.1272248875730229,1.0566904694628918,1.0664963096542068,1.0742016689883873,1.0129039888158733,0.9963818966202546,0.999936916618875,0.9973443639445672,1.021421077656769,1.0303350541119842,1.1278566736773186,1.2837967644747916,1.1126063472849168,1.2609303252099344,1.1737709665323792,1.1273451625560458,1.2928412810419927,1.5048976671772372,1.458491072384416,1.7284696913043571,1.4170636789488205,1.353361993560731,1.3220314553389434,1.494059960636834,1.4631075138062586,1.3389264627786601,1.479332942480696,1.699825316276827,1.5600963132626897,1.5131693396721255,1.7874524833334111,1.795733706754057,1.701791343696878,1.6594141952889276,1.4203289526237413,1.595656262981448,1.3923552595600666,1.2899082808085567,1.3151011301857678,1.2463122448001998,1.3392470331987107,1.253247304295783,1.208528619972309,1.172755954802482,1.1677996037523077,1.0743173864374043,1.0709922241521894,1.1068593956169672,0.9785448092563965,1.008591082234244,0.9758076657583518,0.9469308909968533,0.9721661164933362,0.9846605813005508,1.0352329972930374,1.0900989640309815,1.1552349155427353,1.2913637516722836,1.1630371639734653,1.1442027641282086,1.2711051730440182,1.3039928929400055,1.2475873438648983,1.3083415670838394,1.4447259413275,1.469208765942467,1.3455987021673146,1.5427979644182275,1.711962245677208,1.7464318145819004,1.6432239865683564,1.433366179869004,2.162558219829944,1.8397331657849456,1.3825857363093508,1.2914565008261762,1.17554848694465,1.0827146566385695,1.3300584233061867,1.1978684359845366,1.3435239776991053,1.3764162738199046,1.3312285145933094,1.181196533604523,1.1744553917039124,0.9744996196783752,0.9227272855458106,0.9568529874604924,0.9569486875631881,1.2489899334332972,1.000393879753267,0.8852625929357637,0.9672968157255554,1.293916929302992,0.8517958198026923,1.0429520927067772,1.1340980567248087,2.1667408392781518,2.362143488557378,2.757803444252131],[1.6490051260809273,1.7465665551524918,1.6974911667901982,1.6933344626800668,1.982523424393548,1.892727999943994,2.0292942786228365,2.1944682014848085,2.212514735096739,2.3411274939494393,2.443078795745931,2.4518646660267454,2.4076045146412675,2.477789183381066,2.5297068537170913,2.464467365741095,2.461954211068974,2.447800122572806,2.3123665793925143,2.230519684646449,2.1171209103044086,2.0501527449785626,2.069015748101828,2.013556282398625,2.0144399679813643,2.056234388194208,2.2046316567812156,2.2917411372159853,2.357953693695487,2.3895816013110234,2.455477688857817,2.451654045128363,2.454396342281083,2.4350441123054436,2.407147927732193,2.360432007192482,2.327710735848595,2.2235271316835115,2.1212475691054022,2.114725240182897,2.0788018051173025,2.1254321508180984,1.9935079386902441,1.8895211166816348,2.0884477315380012,2.2099680888100948,2.427138863370982,1.9258182273561673,1.800947471267493,2.1873996644943134,1.952767617239289,2.0325009280616033,1.9900259507348426,2.140484042217802,2.33556368563802,1.8384699031116691,1.8130426867095344,2.034964779593519,1.8844557234396546,1.9330364477037991,1.8860849552419652,2.011228593880821,2.0859740122223753,2.1187377691034612,2.0095768521139146,2.1058326995779972,2.303887557780897,2.3372461132740083,2.4706959484680797,2.628030942312558,2.747146396103502,2.9423945148756854,2.707315370697924,2.5894907449028746,2.4648660938570677,2.371834153961762,2.2111073578116516,2.2654553783573825,2.1925535015120636,2.063244177920695,2.164072510393455,2.141117086045654,2.365524847751747,2.268016114648362,2.2529164817876097,2.203219410377349,2.1797428217503136,2.2833911455295612,2.2542114639311195,2.308929171762705,2.3747632346504255,2.471837681982079,2.5050172750841293,2.4907354790233143,2.5309198964801176,2.60970809995147,2.6912411462926324,2.537619760008674,2.4918895341438416,2.4614660779982005,2.451034947709077,2.398941727940114,2.3854497988575396,2.396587454577083,2.5339866160125366,2.4753484039637152,2.5172219916657173,2.6329574301659333,2.62335457340589,2.433233889117157,2.437116044271676,2.3662906402338733,2.240383060200828,2.2490675194733343,2.3136177201203023,2.2731807878505847,2.36090079680393,2.287208676468282,2.3907879505863896,2.4780512665210446,2.5775464789839844,2.5612859251745728,2.414994532582444,2.2082658045845274,2.07417927212731,1.9792522931065804,1.9956977163171261,2.2816876758963986,2.577844098016271,2.6753778523355436,2.9059958149314653,2.851627075702908,2.8424477706727673,2.6686652597526175,2.7491787820877804,2.648641665779046,2.9053701144604545,2.9198827662134024,2.666896870594717,2.3202195174060463,1.8459289212530692,1.9785399490969806,2.047547916934074,2.130633987704107,2.0970692801454334,2.2257996590405758,2.263662712317915,2.3390115636192674,2.310887213077622,2.272473031398251,2.3020958396338993,2.2792793593461393,2.288206416510923,2.565844074851324,2.5021872006771737,2.389417854618645,2.381790360933911,2.331294213437271,2.3935540520190983,2.381513406275156,2.3073795225623663,2.2594326266381555,2.206523964916713,2.128464613275488,2.579586713680669,2.559502085105605,2.8657874904882106,3.1595873185274916,3.231849917603068,2.993907990186122,2.8711691634319996,2.5596805407842935,2.4401955737390715,2.3919447582287727,2.31353359785507,2.338893578004047,2.31227903003906,2.332892317879879,2.31799914809237,2.3891962699895153,2.591936534412361,2.464207359294738,2.599471603535353,2.670202468668999,2.6108437845537753,2.488765103862858,2.272417087912666,2.5055232463277237,2.9199851036067206,2.6764249055866647,2.7737112332364062,2.934997615786183,2.8408314201193874,2.9183249392509683,3.0075935945784087,3.2266627072451723,3.3602208473883888,3.286441425175848,3.0126026961885453,3.09774780625335,2.944533350634127,2.8247900700345365,2.7084198886042756,2.6510576259251275,2.650115244253981,2.4988561291140003,2.2916904008974335,2.3488703814614835,2.38395902531445,2.141697885722596,2.0311772025890695,2.0763660291951376,2.0688382713705313,1.8425276113387723,1.9219748541097765,2.1225461135822488,2.052602673024059,2.1761334935164096,2.2739084174897917,2.2840904599401854,2.5105456998146596,2.4246185253124026,2.6400041001198256,3.1884428616799703,2.9805620825557657,3.0084673711214673,3.0663804297604704,3.2042452594478594,3.0948284365092413,2.9665540362814533,3.21942370261314,3.34038717509811,3.1231034674415423,3.17912749494038,3.5468419817382912,3.3474884433950463,3.2005844179563083,3.2917201830299803,3.0490669891041846,3.4053924848858266,3.206402723876139,3.071569923484433,3.131286266781331,3.044060847360092,3.1301097262821367,3.053956690967966,2.893725403555596,2.9207730243572456,2.896257436971422,2.6965631994212744,2.640721540037109,2.589277345891762,2.4012442244537193,2.4614009514486526,2.3705273157080238,2.110826559101376,2.2004118228511125,2.2894311166512615,2.3585701726924633,2.56805407892393,2.7354633559124117,2.8658930113011283,2.592150797963314,2.5413328028535602,2.8091291534096485,2.726361052688042,2.5764309206085,2.741092838641817,2.899664680278657,2.6910741746571607,2.569758947406607,2.924753555780015,3.0557588006541985,2.8725162118920533,2.753973054422766,2.4349874765471653,2.8477046110504194,2.3242385833173933,2.0834372193196864,2.006828019541973,2.115577557051235,1.9441012562699906,1.9282600094802358,2.030297635314989,2.2070497746771736,2.4430564187082817,2.6143703345942626,2.5078801697958295,2.7689064106088095,2.4845445261702808,2.2722743629375293,2.5567465434543037,2.541033593010462,2.6838702671612307,2.4443326122392017,2.1946807717881835,2.32854815788892,2.567046756773047,1.958569506161452,1.979944842073395,2.1749208514789746,2.9326175467434776,3.0709354862020373,3.656076437469192],[1.9651479153047255,1.9869662794303693,1.8930490008980236,1.9027171812080996,2.056336940080475,2.2154458988810624,2.3912282394712037,2.581616815216103,2.8338364719632585,3.0429573884628547,3.2954554335863184,3.2170708975997284,3.110734131782905,3.3738270444581104,3.4616864271053913,3.2959297393254943,3.2809179063266076,3.372534441008704,3.322444065477355,3.0772642479388717,3.003618383142975,2.82391038548168,2.8555539230724,2.773457753925118,2.778929233979061,2.919920037604111,2.9338442599273433,3.0168762664009794,3.0982479702448815,3.0642144325859135,3.3721986558561134,3.1746046821960943,3.259523063006557,3.2558498105256093,3.1452710043294396,3.119218583959447,2.941365375952433,2.843252507727547,2.7178729841996736,2.7432904458221667,2.7372658885359717,2.8323368670568745,2.6954756130893207,2.6517582040253145,2.930369126575676,3.085251918559412,3.3399396652047875,2.8056739064399627,2.6643957901444706,3.1543949766499657,2.843188199362315,2.928548220315538,2.7835251463136665,2.8110865678152184,2.880585856690442,2.5416193305582375,2.506877036554073,2.7276832704346243,2.54317164413096,2.492370938938917,2.5502802181394166,2.7343901953884338,2.894195284229933,2.9791293817045776,2.8011230366309476,2.9232114711603128,3.2382473000343364,3.3095874758524584,3.5954066722793447,3.7911315095056244,4.020571735394757,4.279376598023752,3.966335745206781,3.774640201974487,3.514443513942614,3.313905912581933,3.1244994074189236,3.1503559648179,2.9934857923540803,2.8291102873775182,2.813856862615012,2.7538131769058394,2.9167199324259747,2.7943068794266996,2.8258444799661757,2.7432578321702716,2.810769039816784,2.9021036344047517,3.027847986225505,3.133163698022853,3.288999607129664,3.4440890157182116,3.5160765234900584,3.4641709144524078,3.491283270709038,3.661585264858726,3.71548717784841,3.378447659187605,3.2485974988307578,3.1209866792622645,3.06539411105114,2.8694767189615584,2.8661401317349067,2.745371329750695,2.8628599098857546,2.704364917617387,2.778617580700288,2.8980409564959984,2.796707319044255,2.6044660935649335,2.571009102511508,2.5334677970297834,2.5198151501749457,2.501884279939314,2.8315849562746642,2.760787322734937,3.0494209028351427,3.0060379902617544,3.444782166613885,3.467737420607062,3.6380666626685687,3.456593148267299,3.15020287145099,2.7808580807799217,2.536026172670052,2.133986559153243,2.1517509454015897,2.3709019585834925,2.6845637960871573,2.8961569879999165,3.157202520000601,3.208327614304933,3.3121066212597317,3.0790137476445167,3.1187453016560234,2.8438624895033873,2.976329870232335,2.942427172615729,2.5629222442169226,2.4542652920239885,2.2294871696775167,2.6356863037564158,2.6704974672447794,2.585961274346964,2.630828917062067,2.7529184995895877,2.6906059463364222,2.7681064102776785,2.651735566632948,2.6792326930691366,2.6338149462380236,2.7362333033213067,2.7160862683712175,3.0231225660384844,3.055941804664296,2.909978459591251,2.908506562908461,2.7324545318233935,2.862702892640206,2.6652946841148344,2.589063449530942,2.6862797597171344,2.582932104878286,2.6331120333558493,3.1424840751915077,3.1477306037094173,3.4217068426775237,3.8177187241892163,3.8628550976947835,3.471464949284886,3.296020626648241,2.8418604424759066,2.8513431528616615,2.7745265648445465,2.715637081943416,2.736677190366802,2.785463618258878,2.794955497064522,2.77905181425566,2.8353556375720066,2.9901629731873776,2.820508153442292,3.1020214296813102,3.2813528803913,3.199885477700258,3.166511329734772,2.9194374683905515,3.255995257582806,3.6536098477073606,3.5358972445612187,3.7068289526356963,3.790533168062186,3.666040254290209,3.6169000005751957,3.6303541985406684,3.771576438100578,3.7808020436796603,3.6753146940782573,3.312738094070799,3.2629241753286724,3.15114156617566,2.956472703464051,2.816416263146223,2.790319631045291,2.7858213102554936,2.5706303958804955,2.3597851383185873,2.456003074426008,2.464661800775958,2.217025932381593,2.1190342052392164,2.170312388059843,2.1755606472706357,1.977929592575919,2.040520944153389,2.202955742438689,2.1576333123831195,2.3631100925872146,2.43479071108102,2.453818565052779,2.7701565992980304,2.711909547728282,2.9301635039760656,3.322595067012276,3.2245339659796204,3.2987120191266848,3.3354262036908127,3.5910086216831982,3.4677239014725596,3.2646691099093745,3.571055909656681,3.8003317214415837,3.536461686742918,3.566192015564352,4.027366151360015,3.8870209848189723,3.654730803787004,3.788408602879455,3.395840750092625,3.734422304468225,3.567675651457131,3.313189489873617,3.3517815281251857,3.2087293510647776,3.273227781769613,3.1948915450327777,3.017611314985006,3.0339246276104945,3.0059487835294156,2.7945085455970715,2.7455900376761795,2.7035800475537766,2.5010941236457542,2.5644314687468284,2.484358557483814,2.2407132326784973,2.3041072714490176,2.390557549071652,2.4577534185795784,2.697601083468833,2.854800927219744,3.053441044623955,2.7609116266940754,2.684378005527159,3.010520844312491,2.9621113621550994,2.783169304762442,2.9747777544960536,3.218956539537898,3.016038286042371,2.8546372850251154,3.289819518651941,3.4945194956352874,3.2654507597505473,3.1230671232546445,2.7397148944125265,3.35381549402873,2.6669831445957612,2.371250983302532,2.188233354127098,2.2292251184071983,2.031678160104383,2.0849058721652485,2.1576894322907827,2.42977713558542,2.6371454657659976,2.7674861530193464,2.5845902996607983,2.900249551283863,2.5346043611916853,2.3470699015541534,2.65957543879859,2.645546015738881,2.8357137820110294,2.568988479344075,2.323325516199706,2.5168732778015883,2.817962854381283,2.1990209515897288,2.1978717478872754,2.4624125832493324,3.2262179494302474,3.339154087138329,3.8921411949230817],[2.727458541391082,2.685104351383578,2.5232809414154262,2.565250338550313,2.624757791004564,3.0879767191159804,3.4020668567392245,3.7168711337631306,4.139248702773637,4.473996520904815,4.864083918503744,4.786319187241814,4.688785811056006,4.995633833579656,5.207327941157423,5.022277462262842,4.985467838748616,5.191226093964271,5.173499814208488,4.901076971353331,4.836431852518656,4.593080127306419,4.552887112045868,4.400261012032503,4.487964614455512,4.7120435909509,4.646408778375903,4.6765546504202575,4.815002350366443,4.741337293296924,5.20761662447512,4.920201616273603,5.084241311372355,5.128871287828691,4.946342890422777,4.918315405947121,4.602736598360406,4.47912287590111,4.267789534831102,4.147619732456851,4.1583812074301445,4.5041454614190535,4.331509801028809,4.144543178701978,4.28749278211241,4.253550461574034,4.418363375176461,4.060259489282691,3.8829574028757863,4.183354382037376,3.994147726219627,4.006519002838672,4.054438830446439,4.1679954478092345,4.397121220235296,3.9869697833106463,4.017810529444036,4.391317197329474,4.168427036631975,3.8236998749020485,4.236094665534546,4.515230788763458,4.762786968304265,4.811256452780577,4.592833365690845,4.745112292032282,5.078866432344107,5.21215915812298,5.4959800622051,5.6579492522924735,5.846327635382837,6.021763943608953,5.867781986694443,5.698879881631197,5.459894327523844,5.151114004339598,5.048284158172451,5.077662271758991,4.84340582123285,4.6221366834805435,4.487709280657109,4.315809021445357,4.334641149051771,4.117107198304577,4.090364844276319,4.246353540290004,4.469725712606004,4.592884634573349,4.845937305278639,5.015866964468706,5.17746492491387,5.310299370656626,5.3860208858519805,5.351222760594438,5.326873390439721,5.495122144841684,5.5106563576564636,5.149933638271858,4.917681038857927,4.69644432483951,4.67513132448111,4.245089731424046,4.28501461294453,3.9652382914416573,3.938143200610112,3.660071568132803,3.5967437363245107,3.5996728932397755,3.408708449962747,3.384909771512204,3.3322527322440214,3.4682418664525225,3.5768179794301003,3.5649494063728824,4.1831404330236905,4.028703700393312,4.5708893216555495,4.484932804824703,5.195725874651439,5.231593723186403,5.319111826462126,5.032669819820514,4.427582992590001,3.9662461093851515,3.6354683439124993,2.956826944518614,2.9673614932369867,3.0762983690358428,3.2636954271023053,3.5890719924105086,3.6341834746327026,3.768770971185534,3.930199812377626,3.7933230879312156,3.7547475544000046,3.4925724142858905,3.3828474076254205,3.354016168610014,2.9761087314122143,3.2785363268068344,3.1274080383583,3.7739273276966334,4.086307851420721,3.8693940597838257,3.9918711632174615,4.242055501866778,4.057183717093353,4.157142989136343,3.9041399424788383,3.939805731762434,3.7916733560748623,4.038135943648919,4.002110854798806,4.326605836949306,4.498495851709563,4.375299781779227,4.384492049014454,4.048889536007309,4.303304345045546,3.818605567263689,3.691532178460277,4.041007152018349,3.7240996814617313,3.86578910346491,4.1152196964521925,4.001111402898198,4.2042972866550965,4.6119971473988794,4.528700797108146,4.046703059591614,3.906233500505897,3.561074258999347,3.7467288712932514,3.788362851306355,3.903716606706941,3.964400854278516,4.184719814686286,4.155969857904261,4.084578802642418,4.018822922566363,4.066216198603972,3.7576799782916708,3.920057432620553,4.07593375245577,4.035840069592938,4.171802253636866,4.097484685235735,4.3293220736468685,4.610818987657464,4.448733772847903,4.56899625749927,4.575909328515956,4.417927296941865,4.302741542715206,4.264533137778238,4.323938418404748,4.232377349412225,4.10610967123624,3.702661293840143,3.6494403217252542,3.5445935841719987,3.3984962363520035,3.2620119935957517,3.1763300218709567,3.1983138525977655,3.0386388766449093,2.77684237230241,2.8959057808560233,2.9469392394485245,2.7412029870968655,2.641251953178217,2.703458579206549,2.7586826775670534,2.611089480469445,2.662962132057183,2.7631466964048546,2.7394267848411586,2.9758004971266327,2.939993221916007,2.966965471766981,3.264815617781001,3.2931182914242316,3.4396903257632,3.7269527611121602,3.6484034407772072,3.7378254669418802,3.7830435757365137,4.025452026711154,3.8964237946964975,3.6973123240682533,3.991837791387916,4.229899846098169,4.027981273765271,4.012105206462947,4.501204578080207,4.4410116575626875,4.158533567820735,4.281257912193107,3.814373831017075,4.135380111691921,4.0065784212973785,3.757322149035082,3.826270219284754,3.7085928621311854,3.831194340698818,3.711845958122769,3.52938823961658,3.6510204465510645,3.6241540686838873,3.301796449430891,3.337086105866084,3.3636109869394737,3.081206997219554,3.115810748470084,3.098479884113784,2.8842615884817087,2.86992003386566,2.928902631981996,2.9405218417132364,3.1298346702834787,3.2644484228536523,3.456363730229483,3.1855246873713683,3.1191934134542985,3.414841703546067,3.4127001780273885,3.25273858076342,3.411596202016941,3.7042435431725242,3.5655977544181443,3.402241256236778,3.7894967079435466,4.036274874437401,3.8997710290144485,3.7720321195196664,3.3907109345468873,4.191405490501595,3.6090162653914635,3.1631938652640623,2.835186723867315,2.74383001756561,2.548506374177992,2.699648771993655,2.728101013795399,3.084114175553378,3.1507513093949506,3.1747172916118878,2.938589949284267,3.268680592347905,2.9880352352082875,2.860719713789022,3.2819444563437274,3.2705398988972885,3.604781456197524,3.2975937697715585,3.0021725602076654,3.310696068720213,3.6957821012516856,2.9966946806179124,2.9095226782691843,3.2457039293001446,3.945142827903161,4.068284251767258,4.55687155142042]]},{"name":"Protease-ligand interaction","means":[[11.69292828813908,14.884773487434881,19.572963770056496,20.685863888521116,25.92969306384462,22.797347416972034,26.3768354041629,27.87693888205169,27.41580602939267,31.277786642924173,32.63428558095537,33.31497167410481,36.16663859337682,35.128856624656635,39.076609781791134,40.671347215997265,41.019409473676454,45.48141123502738,48.665708054865355,50.93537756334115,54.55488150079397,58.16726371045084,59.47126825552724,58.95155510935864,55.95852786306969,51.9560549077611,49.51330455757364,45.47439408024247,45.348491201463695,43.70114111315093,46.07326428649612,44.44856243775929,46.823960418736675,51.36399929342122,49.967214936784345,49.515463317380245,47.80062594174031,50.12284970070584,50.15917338926104,55.231249751106446,53.25645082099649,54.63608405310245,58.772000824787064,59.51886099773697,60.70296880372058,59.304043650316885,63.51202766277716,63.58467723978805,58.816858316576436,62.426011634746914,64.91955426517745,63.237865644724856,65.67237409683932,60.51606041766759,63.33348968459669,67.27208953047848,64.02903549725444,62.12494462384487,66.95964567971649,68.10142841391676,63.92119723559916,64.36003652480943,61.8639572845934,64.18793471864655,62.453640505861614,58.31279038027097,55.65196864340196,51.93456486799007,49.79971972937475,46.532071504928645,46.27284561493602,47.97239582937068,49.43453782969217,53.586595171966096,52.09973041370281,57.88666977092386,57.32289908615471,59.08000454166806,58.488691496758996,59.84590772040545,57.2215306383761,57.202243600152016,53.55901976140683,54.63814046852065,52.47663055787702,51.16446572513636,53.85181777428423,53.11670866992465,53.80002263849091,55.32088287160532,53.281372461375106,55.591435765332236,51.63636441477179,48.767703688288464,44.38909460615009,43.648187788885956,39.84286522086424,41.545650128205644,38.41424993884232,37.30126814686109,41.69823316328549,39.53212744182112,43.56056638481441,40.73917890921646,44.60812055687417,39.647348299756246,40.521622149687815,40.54403160300104,36.13139236457684,35.536785816237135,32.01448485176297,34.770711506206645,31.89635597860597,34.694561812095856,35.7855903971975,37.11993127115151,40.63950037874466,42.10762527229518,46.33015488319641,43.54600803517589,40.909539027218656,37.58559518660492,36.19486866343623,33.70115229874648,30.628773096239414,32.82933694906447,29.40899120545294,33.55056453665135,34.826791850629085,39.29959045740108,38.82768110251209,42.114418451691066,44.56755708771179,44.82743095456616,42.64148054002182,39.41147948979446,37.12610999125407,38.045692596719775,37.846906323077015,40.294978924233405,42.96415457744774,47.633880878062016,46.64639027045405,44.04185965057887,46.74555795616847,44.46362982607702,41.377879161280234,39.328604018354994,37.53971036827624,33.7056134873743,32.77489951473558,30.57296455090669,32.63809047731544,29.281791640989447,32.54658574661058,35.24209833032965,35.71091685482363,36.315813364395865,39.099866927141015,38.89960434475522,40.894550270342556,44.51131230096015,44.16399797195359,48.15381359225513,48.74270546884394,47.32490319614941,47.98892331322973,49.74535860730107,46.39212104202877,43.692641369538634,43.45506207834267,42.61472479765021,45.410171898236776,45.77703854789242,46.362317333826006,45.955350358780386,44.88132092517583,49.02501085043551,50.08033738199669,50.026544463729294,49.794545921243284,44.581778505744865,49.107780539227484,51.941884621573664,50.16929812729177,54.15881117847459,53.78656666648616,58.11083109802127,56.92809312444748,57.18788917624622,57.18362447601939,53.62197765889789,51.857932374517254,48.803708247725275,48.030393220211664,46.981358308419374,42.26069860813247,41.63011620606281,37.68908028925756,35.93240608382497,35.70852142022016,33.355665598941584,31.447613372427103,31.00653091684414,30.761507105285563,26.999223053431226,25.895278803834312,26.791621194220948,25.592558802102797,21.276515180402345,21.26858512333869,21.148113428078478,18.120425090499086,16.505299791280805,18.05672892853924,20.9549791408182,22.156222520160664,27.25559852971897,27.498796907461482,28.110610206135412,33.57203197664431,34.416802632852765,37.97381578171701,38.49379464983382,39.46552040899543,42.561263819149715,41.58493591048101,46.108712393592135,44.399439395367196,39.719865587283124,43.3088116701778,46.68599033387758,42.80444074277667,41.99586506811131,46.25400368831634,46.14826256638967,42.204638684179315,43.49849766070974,38.530494007424714,41.05001728876555,42.554604906094205,39.28230752592599,41.37323648332271,40.75001845171918,39.9031115190104,37.61564152425256,35.79453781244976,35.63280237582192,32.890639506242046,30.496950662739643,29.502033913456035,27.137205640856745,25.013809610198262,27.394862266650367,25.626848749084754,21.123953701787933,22.979703422184876,25.97892589076517,27.08662977933678,31.042030754790265,32.511793988969096,36.131980431179485,32.94740446193356,29.864383324096654,34.89862783305421,35.2812065078655,32.19870577068172,33.963999733374145,38.773079203730276,36.62019160252344,33.51919895748811,37.81595727933692,40.81912143573257,38.40096447947697,35.7477896128993,31.662163481168946,34.81893887152905,31.34212592349384,28.868909746601275,25.556528477935615,25.263620641432873,21.57969184326985,23.201991649832223,26.391952466975926,29.736684804983383,31.55117129042197,31.215214996606036,29.830647415316704,33.00495872553218,30.656939773209494,26.59513088416154,29.20188565972887,28.2118629870968,28.083065156638305,25.974169989160654,22.844502464119138,22.458722546515368,23.275036670061873,19.048712332246847,18.033637284229616,16.69474595497809,16.985469515450895,17.858079325966084,17.284661984515513,42.24719316246859,39.19780097122122,34.395521096314305,32.98012720977149,28.16722754060213,31.672207918662814,28.602373637978193,30.1643950579605,31.408912519162207,28.207001171369875,30.531951763473906,32.20716927096035,26.56671517953718,27.71678533426309,29.18260389445669,27.250539218787832,23.216738793112658,23.458648571828366,21.830344697757276,19.836356970264863,20.441616264301683,19.60827744609842,19.80850369460541,17.47085349662873,15.283784056390376,16.867111484521516,15.040015986964308,17.26505121589074,20.543745389412816,23.197642511238932,28.551016686351453,28.26880407045346,32.32638953424332,32.10655087151087,27.865233160722095,24.29918016738879,23.54779790630989,18.324822451522586,14.795048299759888,14.353036407231466,10.934146533579122,15.537176381441476,16.850280438662434,13.42401909106504,14.620485281959146,12.59012700339634,14.979374164966094,13.96070733574787,9.256527236090834,10.724218000005918,14.737434354414082,15.454517151351691,18.607976736393404,15.54202779565005,21.812730461844662,22.410588204944922,19.060785295044585,22.165201880091974,25.672326084736277,23.097382671691634,23.202051112213738,27.383311794052513,28.608645616737803,29.30405517225868,24.860510722072732,23.485803410032663,24.737311528336395,25.405661784681897,26.059762541407142,28.405525420832845,28.39406721421507,31.634174478660736,31.665168204232632,30.16085054610688,29.69946540112691,33.265063703864975,28.613028195250468,32.211852387665914,28.65037994171398,26.109318068008335,24.963991492039238,21.0785173045607,23.008225388583348,20.09142099356112,16.141414168940543,18.921612598981433,19.83860694547001,24.496251464773948,24.36882141029809,30.36427501677987,30.38550529403602,34.66941341319206,34.3068160814374,34.46422857703313,32.138534679120944,35.56646125665889,33.57135444781487,33.14162837143522,32.60261021992664,35.954478131897595,30.934928518450768,30.96607874005832,26.77124653641267,26.721434860314332,23.36905934112293,23.348466845488332,25.537931977094985,23.655315437790577,25.370373538999928,26.582980784536836,26.431004011702505,22.394009515928364,24.434245891372,20.543295675402803,21.738628738736356,19.229658581995945,18.770846708945943,17.181844346419886,19.517875079164234,21.734755740392625,22.793134961468862,23.665796813128644,22.062561506297772,22.441540072990932,24.512363467231378,20.819082333833773,25.097460426862924,21.272948467550503,21.43051715567523,19.632758685156514,20.368769488509553,21.657800481601658,17.42479114696526,18.4209037017247,14.966915020871562,15.365990031726948,17.74609330334926,15.768183469369433,16.105120881179534,13.63662687127261,13.761252585045362,10.801408104369594,12.443926435586773,12.774362167892992,11.88357598766502,16.14672284251331,16.396955348203537,19.86030604718584,21.307347512814086,25.26075310362918,27.865783349595524,31.834401792914676,34.58720219635723,39.36377410798567,37.32313515911744,33.74867802434251,29.999876305717635,28.414898362461926,25.30061058154303,22.527077628737196,16.98168608617611,16.57281236458297,11.838512230040612,11.672229200814222,7.484158308009598,6.673231968551082,8.008023322560724,8.33125101264081,11.75929903541876,11.543128245779858,11.690838218045094,11.43179568172794,11.171986478962719,13.51097841155762,16.449954434046486,20.48943941407398,21.84735820245935,24.395565314322788,19.506903464101946,20.353735909653665,14.463337444867511,17.615122496704217,15.891710729360252,14.704632234274056,11.706608809989502,9.78898254576223,9.486722129609772,9.483241690940563,5.851272772102333,7.816785668881111,8.654987315513045,8.261546301823984,11.868443484746269,13.974475613544794,17.06424671845336,20.44405319678025,20.571715062234908,24.056456703393277,26.976821849703626,27.000111820722157,31.724490154545695,32.31926232352177,30.140445098338024,32.70727955733898,36.172853710050305,35.526547744274644,34.55002887691685,38.15241195932311,40.80649447092609,39.21909665885025,40.87138707930711,44.10865358457164,43.53973955939111,42.84535918142152,46.02121305525687,43.527599766029766,47.73893409971647,44.14640354807235,42.677992023193596,46.021265730287936,46.805843308181274,51.05433390387123,49.36730335259616,48.53948719245101,44.58671854339761,44.08628268895238,40.114427679230445,41.13919847557579,42.64950362123371,37.444766878660495,36.21836059244716,38.578225503985415,36.87753510418228,33.156060465778694,32.11265872479019,34.579432881144776,33.543275823789315,27.361556359348207,30.333809138793708,28.24595212962926,31.62971845192601,35.266323152945404,35.63408056696808,40.2609105733856,36.55743823593907,34.53747703070574,40.190753543190056,40.25639300397168,36.35607929535921,38.51904095642782,42.576219734821194,42.41174195902296,41.13658414826068,44.93920159153893,47.17070967532419,45.755901792161794,46.4990388218095,49.00286622699928,46.536806678724204,45.966103156659294,42.14692316732918,43.85623862903985,46.158490514404356,41.40255943336376,40.13333588626637,43.09399574909177,42.32634542197141,37.51182982615044,40.823323168656735,43.1792514296946,38.87992549557071,36.26221514804765,40.94711552437274,41.989079959459154,38.85970306638525,37.36522476608344,40.64280737662267,40.18706495558275,43.418736162432296,40.23725558856264,38.3386240711991,37.735294769371635,37.993152927889035,35.359396155237256,35.19602296986227,31.72562946336469,31.835143926419445,29.07043318499578,26.65325422410794,25.115997200328277,31.632639952131047,31.6376135756947,35.19279467696597,33.971050439630815,32.84302235192063,37.74636487461121,38.82277119741288,34.644839058539525,36.49252498755971,39.83909593064149,43.819465713689354,45.377567509163406,47.45278519491676,48.29934327218665]],"stdvs":[[1.4741410632643739,1.7222596002006962,1.9565859526849907,1.6711883122501079,1.6646192664302049,1.2998081077007406,1.201824736090047,1.1798196661339535,1.1862683534395748,1.1650969698439353,1.274841831127949,1.3513126851183082,1.163379843111277,1.1937782148999605,1.2792566874888058,1.2162071211126424,1.1349832323562825,1.165632630259461,1.1670404630870828,1.1302346796623495,1.104595313159895,1.1465547522074342,1.170523088605629,1.2730996808496893,1.16633416191189,1.147857508744655,1.1249382733819406,1.1394367368636071,1.134225382143263,1.172466730975475,1.270484700168695,1.2815748725142386,1.4420972711685118,1.3770243246309986,1.2483131013287954,1.1873281151453763,1.2032413317261113,1.1550635165361876,1.1619620758400588,1.206119404368639,1.234212517445509,1.140827901044359,1.1396373496866927,1.347356570232862,1.2595379953362416,1.473754162607458,1.5160943362261132,1.3341549627840823,1.3074064648490007,1.3895988445757743,1.364241169479133,1.6141088997817925,1.3946411617314804,1.3586292567715035,1.581124432540747,1.2976362787228237,1.339865990930865,1.2425646452461838,1.3388437872759302,1.641358087315907,1.229961189849623,1.1792869361060476,1.2037946021823607,1.2174281014620618,1.1562942305927082,1.1524864850000023,1.2821056331057348,1.1930836803424365,1.2266445866807247,1.2631682383034175,1.3748742295170429,1.7127647086776827,1.4444342534085237,1.3950409119807237,1.3471789981942786,1.5957028294198279,1.20886894783997,1.327245735547361,1.240839910647826,1.1903894854006694,1.2280650634004526,1.2061055875535382,1.609829243513353,1.3939640732123326,1.2459976493384282,1.2039729467018634,1.1690055847361303,1.2573982940569308,1.1853758842043367,1.332430948873459,1.2788764715119256,1.5127408186397937,1.4401765724604367,1.450069784508642,1.3852813306087908,1.5218895614172774,1.4600475225893843,1.4476732651814745,1.4022779316135132,1.6355325120770932,1.363473326764247,1.4432349438066705,1.326160528941232,1.4059363177301916,1.536262891555813,1.4949479489235724,1.8784471465020234,1.800897990224887,1.8028952756447947,1.7069328442452725,1.566501067516401,1.3663664122165962,1.2131966848521045,1.2430906743870567,1.142118111268251,1.2282688600906593,1.1970870780774079,1.2655987775094037,1.2057427166816828,1.1845992192789392,1.1879958622330449,1.1840260105571805,1.251060078666369,1.2217189674545805,1.2058003962883694,1.3738118739967526,1.4066972599516516,1.5136938767533383,1.6123668052365236,1.5875710140788502,1.8373470659450981,1.877947442662599,1.8343213400098617,1.7439306347648382,1.6689741499168655,1.5716431040199685,1.8494024312243753,1.71217351972845,1.615588295966645,1.4058457875817403,1.4841638613931287,1.4806242292133365,1.2804982187263614,1.2647989852108896,1.191772735968081,1.1598343841079646,1.1673809561069262,1.1559630227050792,1.2004213010885356,1.1714566649220626,1.2858260752710111,1.291623911534417,1.786182666261465,2.077973806688812,1.6604772192195598,1.4929495667969248,1.3162209033363144,1.3484070973319209,1.246248749869239,1.3214550001797623,1.305256460342123,1.2323858649262134,1.3332334024478167,1.3018789839572984,1.5435718948870272,1.6857399427782414,1.7292659185581314,1.975888641844295,2.0931119729240137,1.9497062653106167,1.792231722153831,1.5598251211705152,1.4936487414293438,1.4280734034126479,1.312314478257269,1.3469348335508071,1.260465025675141,1.4287121775661058,1.3022207728152435,1.3675481849827003,1.6100018706304087,1.494919835497188,1.6440211910858666,1.6949510181011644,1.6027390737022318,1.4299976544627837,1.2752356392180149,1.3638992269631314,1.7203507713368398,1.5337507281480252,1.828402921933605,1.7208684261036034,1.9575045778389066,1.9845402750689625,2.0082578310697086,2.149492039416944,2.1902108717864155,2.1926463340832987,2.24750769351119,2.0436529807451382,2.300247186068349,2.107274891756006,1.9960720719208378,2.3168318704254744,2.3668455284052663,2.1471029898455853,2.297104569681361,2.534438885362492,2.3706949746106316,2.2661707657536754,2.55336603175726,2.6630796575916307,2.322966560654485,2.3822666885275243,2.8769707893658847,2.8437040595062153,2.8617651289125194,3.0092474169489623,2.849828514459279,2.9317405308418043,2.9486097541116605,3.4489377204315748,3.054062736877948,3.209240582090259,2.720834799794213,2.6540621228226446,2.515055652731089,2.548814780857523,2.6894298034096673,2.5622719193023773,2.4585554716948597,2.6377856054535016,2.7443398354210617,2.5243810364154484,2.48307846946451,2.785216983196261,2.6823744865952652,2.533466203877904,2.444702410867904,2.2350396580135463,2.289529413825079,2.280447891814595,2.160459638795414,2.3802831501175454,2.1219467437767943,2.0316841844289075,2.2840362736402504,2.1163573958755593,1.986202474392043,2.1902379621240677,2.134463561932118,2.0359896232840593,2.0968668360793945,2.2860475794202872,2.192348442821565,2.092697405488766,2.376436737633041,2.4244783101060565,2.5531914832637663,2.5222838557387752,2.396766670825333,2.546796459919009,2.6612826767388515,2.6037754153860075,2.603467052101204,2.7749163863084974,2.8091238328004633,2.6764774906482,2.8227731305305253,2.883176118689658,2.8428566651524783,2.75548805599213,2.8148011804246647,3.0282548695612155,2.9587557760831813,2.8654309693184863,3.0236346456891217,2.8637944211125785,3.19279293934029,2.784233023023787,2.683722399907793,2.385861409437206,2.543371846563861,2.5080318867526787,2.6193001836386016,2.50779029072603,2.501447601464199,2.1828151770470923,2.0293520076443987,1.7605664943028956,1.8389181182513652,1.7366013394498634,1.8478121735579862,1.745771815038213,1.5757188295145659,1.777369245193077,1.4510874764427883,1.3652216584192158,1.4778556410845318,1.63154081594632,2.1216683330756223,2.1748753187552428,2.722282496173607,4.137079569166565,1.8584108431560118,1.958672045111575,2.102730354760244,1.6858263467754389,1.951939727282829,1.4508434297929125,1.2961323446829836,1.3262172784149693,1.233163319414759,1.261581731068689,1.334776593155832,1.4363085919057745,1.493795484520712,1.4061952816379333,1.6768353311734057,1.7712350506631214,1.7280227523790588,2.066390587555941,2.3393729761060835,2.410799501550771,2.674831207279724,2.825064975628403,3.245990148952808,3.3698910781509803,2.856631707956302,2.491147857197677,2.250939435113632,1.9943217185039555,2.0615733021385045,1.9194828273135847,2.1052256007273122,1.9366958272633532,2.034628513212373,2.2384639999227014,2.223365426736459,2.264429507743659,2.1981540420386083,2.4166933467649336,2.4240766778407137,2.743000847220614,2.63404734656373,2.620147907201432,2.744387033408721,2.7679909850159494,2.849878737447081,2.819442435195422,2.7211292407479912,2.702070748639774,2.5463430368273694,2.5174155699029503,2.611283441090433,2.6159018586177636,2.645311083427617,2.6811955757270662,2.8748813310319297,2.7043055119351433,2.7995273354113186,2.75442868296682,2.784590309384015,3.1481828243473466,2.9401512807754853,2.881257730863037,2.8027880348997343,2.951786483855462,2.9310341623055574,2.703694115143042,2.6853010987872072,2.4706724424519524,2.392187108623949,2.144512360331215,2.168092719129548,2.466137516698662,2.323176836828494,2.5776867116908257,2.4385974142888,2.6944243170908764,2.665176317677753,2.615632517842735,2.589938754480182,2.6403337906631434,2.5202384695361317,2.581029645893893,2.3380191041992986,2.510439746940476,2.390354478190852,2.4136004753602216,2.503281779903143,2.3927173676875713,2.4645158883189238,2.486556724647857,2.42646735270293,2.5205609432833564,2.3678792565436457,2.148534061739964,1.9519485963761172,1.9083713010130292,1.7801158753220936,1.8351470940724344,1.650563292223894,1.5557282628153106,1.7463921584419688,1.65384415989132,1.8206731580335205,1.7526200489090322,1.9751520623946845,1.8783198872728684,2.0915308799513266,1.9816388376504475,1.8471059238769003,1.7678460644958516,1.6367758455106725,1.5461585698024003,1.363533900892675,1.366355963369948,1.3463220613220832,1.3005326087348876,1.5583458871263218,1.4930181112420644,2.0125874992235473,1.9121946445467228,1.625567648809098,1.426168544206385,1.2516877381416245,1.1828828720620068,1.1894816661322916,1.3638286069526175,1.5533354037030755,1.6510708639302025,1.785878206364329,1.8800516970999668,2.0793501772355816,2.172037861747228,2.2304762155559774,2.0802934367185264,2.0209901848456076,1.7667180905503146,1.8641817691144345,1.5896075514297676,1.3918957805581968,1.393224524538519,1.494901675549629,1.745588093037427,1.8375926116718222,1.7009555919804444,2.1114512602464712,1.969042303961309,1.6887126762066564,1.6207494122164485,1.5724360081520534,1.4234950359072993,1.4607295998949794,1.3753547996303364,1.5742662239997105,1.46825493773309,1.443983934807858,1.5168854650400854,1.5172357018962233,1.5731062312635198,1.6417025377952725,1.6993243187226252,1.7623123422707114,1.9976097140272082,1.9145372837175851,2.35786183069437,2.2004181800567557,1.9100029716205522,2.0944962705270957,2.0720945512008835,2.3201103268671246,1.9024534159121886,1.8741544838098727,1.6860951818291054,2.0248869455011413,2.1701612930583978,2.1356138736111405,2.018233964022208,1.9663331261808639,2.039463463919071,2.18676190053441,2.170501330345243,2.340728249913429,2.104312093500134,2.3565601277687884,2.408700083096115,2.4532363994521353,2.8542726769219335,2.883088117625296,2.9759182700757676,2.5669850100100637,2.740462062511172,2.629200241674843,2.589793664766641,2.3334797921039416,2.3474681764689813,2.3841742996979804,2.5098891416233813,2.461727471752734,2.4123643943667554,2.3996680358954574,2.121070055421923,2.2477609080168524,2.0116861352870323,1.9432680486632312,2.1747588088835332,2.1070226719539598,1.9220869227497241,2.1280865426392492,2.177205493933105,1.9628901241140353,1.9521137200351675,2.1136559270313797,2.0655461771583594,1.9108397632545293,2.0733780478558286,2.2257360217245883,2.3837702857447587,2.270942685252985,2.4841709195441073,2.381947624199988,2.3637719214880915,2.451391089642595,2.8102867176663997,2.7180447278666873,2.652982719364194,2.5504954142199834,2.435231682494474,2.3302151268941698,2.5153641162665923,2.4901369715513892,2.525208818794123,2.4615407930514017,2.663261685688864,2.6744505154479774,2.6093727630826993,2.9285567929200598,2.9762509838859263,2.7839047117380624,2.7584614828322747,2.506192617263413,2.282080233631945,2.293776990156039,2.2143361113681213,2.1849074626303215,2.1883277963181036,2.155011791214713,2.1272574175093446,2.090964213568787,1.9131021516684137,1.8371349410904279,1.8675783028849833,1.7966893153343555,1.734006012121209,1.7769890054192419,1.9008382709375415,1.7838805257523316,1.824324113944786,1.903509630480761,1.9686780539239066,2.082486782213098,2.070220367699716,2.060884080936543,2.199268377394559,2.2325616489242606,2.182647485397651,2.303296658926848,2.451665780048942,2.4291001268102863,2.47543087875554,2.7136784551783326,2.724089222245075,2.628237867910113,2.7611265412957544,2.953519088175733,2.958784947138234,2.9449952116442555,2.7785045401140573,3.0472389689845785,2.9514673309947614,2.6518231703247483,2.4763819569486567,2.351706719011596,2.2341883719073885,2.5070838335114383,2.4537415251943933,2.5686475657746914,2.481573823247021,2.4140827488285774,2.1824622546728305,2.099735285713196,1.7841296206124555,1.9520444760500058,1.7074517524113473,1.7012337298924816,1.5847751950840439,1.7443936446894632,1.8232264410565187,1.5757896597243495,1.5491257698467689,1.6170862685897474,1.8618276122762596,1.9549722016195332,2.4308066670397235,2.9428619959023634,3.738637257970472]]}]}